%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : ITP182^1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n012.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 10:24:39 AM UTC 2026
% Result : Theorem 14.95s 2.75s
% Output : CNFRefutation 14.95s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 144
% Syntax : Number of formulae : 1944 ( 903 unt; 0 typ; 0 def)
% Number of atoms : 12215 (5781 equ; 0 cnn)
% Maximal formula atoms : 5 ( 6 avg)
% Number of connectives : 22979 (3074 ~;3267 |; 15 &;16209 @)
% ( 0 <=>; 414 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 4 avg)
% Number of types : 47 ( 46 usr)
% Number of type conns : 856 ( 856 >; 0 *; 0 +; 0 <<)
% Number of symbols : 244 ( 241 usr; 15 con; 0-5 aty)
% Number of variables : 5980 ( 0 ^;5968 !; 12 ?;5980 :)
% 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_l1406151091e_name,type,
list_l1406151091e_name: $tType ).
thf(tp_list_name,type,
list_name: $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_pi,type,
pi: $tType ).
thf(tp_pi_Rep,type,
pi_Rep: $tType ).
thf(tp_produc1141751126_pi_pi,type,
produc1141751126_pi_pi: $tType ).
thf(tp_produc1212344719pi_Rep,type,
produc1212344719pi_Rep: $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_produc1872410278e_name,type,
produc1872410278e_name: $tType ).
thf(tp_produc1998742700t_name,type,
produc1998742700t_name: $tType ).
thf(tp_produc2008547984reeRes,type,
produc2008547984reeRes: $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_produc865358760ubject,type,
produc865358760ubject: $tType ).
thf(tp_produc890461031e_name,type,
produc890461031e_name: $tType ).
thf(tp_produc992857746Res_pi,type,
produc992857746Res_pi: $tType ).
thf(tp_product_prod_pi_pi,type,
product_prod_pi_pi: $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_Pr1654044726_pi_pi,type,
set_Pr1654044726_pi_pi: $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_a,type,
a: late_subject ).
thf(tp_aa,type,
aa: 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_l798145763e_name,type,
cons_l798145763e_name: list_P227219501e_name > list_l1406151091e_name > list_l1406151091e_name ).
thf(tp_cons_name,type,
cons_name: name > list_name > list_name ).
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_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_1376661020_pi_pi,type,
fresh_1376661020_pi_pi: name > produc1141751126_pi_pi > $o ).
thf(tp_fresh_1498103185ubject,type,
fresh_1498103185ubject: name > produc214645451ubject > $o ).
thf(tp_fresh_1627595501_pi_pi,type,
fresh_1627595501_pi_pi: name > product_prod_pi_pi > $o ).
thf(tp_fresh_1638563217reeRes,type,
fresh_1638563217reeRes: name > produc355105483reeRes > $o ).
thf(tp_fresh_1641682979reeRes,type,
fresh_1641682979reeRes: name > late_freeRes > $o ).
thf(tp_fresh_1847501388Res_pi,type,
fresh_1847501388Res_pi: name > produc992857746Res_pi > $o ).
thf(tp_fresh_1953561446t_name,type,
fresh_1953561446t_name: name > produc1998742700t_name > $o ).
thf(tp_fresh_1958133282_pi_pi,type,
fresh_1958133282_pi_pi: name > list_P431515740_pi_pi > $o ).
thf(tp_fresh_1963366730reeRes,type,
fresh_1963366730reeRes: name > produc2008547984reeRes > $o ).
thf(tp_fresh_1981651763reeRes,type,
fresh_1981651763reeRes: name > list_Late_freeRes > $o ).
thf(tp_fresh_2007541374s_name,type,
fresh_2007541374s_name: name > produc2052722628s_name > $o ).
thf(tp_fresh_441084397e_name,type,
fresh_441084397e_name: name > produc367475239e_name > $o ).
thf(tp_fresh_493808761reeRes,type,
fresh_493808761reeRes: name > produc1357834675reeRes > $o ).
thf(tp_fresh_495373993ubject,type,
fresh_495373993ubject: name > produc1359399907ubject > $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_820177506ubject,type,
fresh_820177506ubject: name > produc865358760ubject > $o ).
thf(tp_fresh_838462539ubject,type,
fresh_838462539ubject: name > list_Late_subject > $o ).
thf(tp_fresh_922791155e_name,type,
fresh_922791155e_name: name > list_P227219501e_name > $o ).
thf(tp_fresh_994896692ect_pi,type,
fresh_994896692ect_pi: name > produc140253050ect_pi > $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_id_name,type,
id_name: set_Pr443758855e_name ).
thf(tp_id_pi,type,
id_pi: set_Pr1834926343_pi_pi ).
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_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_member540268543_pi_pi,type,
member540268543_pi_pi: produc1141751126_pi_pi > set_Pr1654044726_pi_pi > $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_nil_li29751603e_name,type,
nil_li29751603e_name: list_l1406151091e_name ).
thf(tp_ord_le630093991_pi_pi,type,
ord_le630093991_pi_pi: set_Pr1834926343_pi_pi > set_Pr1834926343_pi_pi > $o ).
thf(tp_ord_le793202855e_name,type,
ord_le793202855e_name: set_Pr443758855e_name > set_Pr443758855e_name > $o ).
thf(tp_ord_le797229014_pi_pi,type,
ord_le797229014_pi_pi: set_Pr1654044726_pi_pi > set_Pr1654044726_pi_pi > $o ).
thf(tp_p,type,
p: pi ).
thf(tp_p2,type,
p2: 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_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_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_produc1069608854e_name,type,
produc1069608854e_name: ( produc367475239e_name > produc367475239e_name > $o ) > list_P227219501e_name > produc1872410278e_name ).
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_produc1531804426reeRes,type,
produc1531804426reeRes: name > late_freeRes > produc2008547984reeRes ).
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_produc208131031e_name,type,
produc208131031e_name: list_P227219501e_name > list_P227219501e_name > produc890461031e_name ).
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_produc607574050ubject,type,
produc607574050ubject: name > late_subject > produc865358760ubject ).
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_pi_pi,type,
product_Pair_pi_pi: pi > pi > product_prod_pi_pi ).
thf(tp_q,type,
q: pi ).
thf(tp_rel,type,
rel: set_Pr1834926343_pi_pi ).
thf(tp_res,type,
res: name > pi > pi ).
thf(tp_sK10_SY714,type,
sK10_SY714: produc367475239e_name > name ).
thf(tp_sK11_SY755,type,
sK11_SY755: produc367475239e_name > ( produc367475239e_name > $o ) > name ).
thf(tp_sK12_SY786,type,
sK12_SY786: produc367475239e_name > ( produc367475239e_name > $o ) > name ).
thf(tp_sK13_SY558,type,
sK13_SY558: list_P227219501e_name > list_P227219501e_name > ( list_P227219501e_name > list_P227219501e_name > $o ) > list_P227219501e_name ).
thf(tp_sK14_SY586,type,
sK14_SY586: list_P227219501e_name > ( produc367475239e_name > produc367475239e_name > $o ) > ( ( produc367475239e_name > produc367475239e_name > $o ) > list_P227219501e_name > $o ) > produc367475239e_name > produc367475239e_name > $o ).
thf(tp_sK15_SY1063,type,
sK15_SY1063: set_Pr443758855e_name > set_Pr443758855e_name > name ).
thf(tp_sK16_SY637,type,
sK16_SY637: list_P227219501e_name > produc367475239e_name ).
thf(tp_sK17_SY649,type,
sK17_SY649: list_P227219501e_name > ( produc367475239e_name > produc367475239e_name > $o ) > ( ( produc367475239e_name > produc367475239e_name > $o ) > list_P227219501e_name > $o ) > produc367475239e_name > produc367475239e_name > $o ).
thf(tp_sK18_SY685,type,
sK18_SY685: list_P227219501e_name > list_P227219501e_name > ( list_P227219501e_name > list_P227219501e_name > $o ) > list_P227219501e_name ).
thf(tp_sK19_SY1038,type,
sK19_SY1038: produc367475239e_name > name ).
thf(tp_sK1_SY603,type,
sK1_SY603: produc367475239e_name > name ).
thf(tp_sK20_SY1067,type,
sK20_SY1067: produc367475239e_name > ( produc367475239e_name > $o ) > name ).
thf(tp_sK21_SY1068,type,
sK21_SY1068: produc367475239e_name > ( produc367475239e_name > $o ) > name ).
thf(tp_sK22_SY580,type,
sK22_SY580: list_P227219501e_name > produc367475239e_name ).
thf(tp_sK23_SY593,type,
sK23_SY593: list_P227219501e_name > list_P227219501e_name > ( produc367475239e_name > produc367475239e_name ) > ( ( produc367475239e_name > produc367475239e_name ) > list_P227219501e_name > list_P227219501e_name > $o ) > produc367475239e_name > produc367475239e_name ).
thf(tp_sK24_SY599,type,
sK24_SY599: list_l1406151091e_name > list_l1406151091e_name ).
thf(tp_sK25_SY1069,type,
sK25_SY1069: list_P227219501e_name > list_P227219501e_name ).
thf(tp_sK26_SY703,type,
sK26_SY703: produc1872410278e_name > produc367475239e_name > produc367475239e_name > $o ).
thf(tp_sK27_SY707,type,
sK27_SY707: list_P227219501e_name > ( list_P227219501e_name > $o ) > produc367475239e_name ).
thf(tp_sK28_SY736,type,
sK28_SY736: list_P227219501e_name > ( list_P227219501e_name > $o ) > produc367475239e_name ).
thf(tp_sK29_SY741,type,
sK29_SY741: produc890461031e_name > produc367475239e_name ).
thf(tp_sK2_SY733,type,
sK2_SY733: produc367475239e_name > name ).
thf(tp_sK30_SY758,type,
sK30_SY758: list_P227219501e_name > ( list_P227219501e_name > $o ) > produc367475239e_name ).
thf(tp_sK31_SY564,type,
sK31_SY564: list_P227219501e_name > list_P227219501e_name > ( list_P227219501e_name > list_P227219501e_name > $o ) > produc367475239e_name ).
thf(tp_sK32_SY1070,type,
sK32_SY1070: ( produc367475239e_name > produc367475239e_name ) > list_P227219501e_name > list_P227219501e_name > ( ( produc367475239e_name > produc367475239e_name ) > list_P227219501e_name > list_P227219501e_name > $o ) > list_P227219501e_name ).
thf(tp_sK33_SY620,type,
sK33_SY620: produc890461031e_name > list_P227219501e_name ).
thf(tp_sK34_SY901,type,
sK34_SY901: list_P227219501e_name > ( list_P227219501e_name > $o ) > produc367475239e_name ).
thf(tp_sK35_SY677,type,
sK35_SY677: produc1872410278e_name > produc367475239e_name > produc367475239e_name > $o ).
thf(tp_sK36_SY1071,type,
sK36_SY1071: produc1872410278e_name > produc367475239e_name ).
thf(tp_sK37_SY1073,type,
sK37_SY1073: list_P227219501e_name > ( list_P227219501e_name > $o ) > list_P227219501e_name ).
thf(tp_sK38_SY1075,type,
sK38_SY1075: produc890461031e_name > list_P227219501e_name ).
thf(tp_sK39_SY559,type,
sK39_SY559: list_P227219501e_name > list_P227219501e_name > ( list_P227219501e_name > list_P227219501e_name > $o ) > produc367475239e_name ).
thf(tp_sK3_SY1000,type,
sK3_SY1000: produc367475239e_name > name ).
thf(tp_sK40_SY1077,type,
sK40_SY1077: list_P227219501e_name > list_P227219501e_name > ( list_P227219501e_name > list_P227219501e_name > $o ) > list_P227219501e_name ).
thf(tp_sK41_SY587,type,
sK41_SY587: list_P227219501e_name > ( produc367475239e_name > produc367475239e_name > $o ) > ( ( produc367475239e_name > produc367475239e_name > $o ) > list_P227219501e_name > $o ) > produc367475239e_name > produc367475239e_name > $o ).
thf(tp_sK42_SY650,type,
sK42_SY650: list_P227219501e_name > ( produc367475239e_name > produc367475239e_name > $o ) > ( ( produc367475239e_name > produc367475239e_name > $o ) > list_P227219501e_name > $o ) > produc367475239e_name > produc367475239e_name > $o ).
thf(tp_sK43_SY1078,type,
sK43_SY1078: produc1872410278e_name > produc367475239e_name ).
thf(tp_sK44_SY686,type,
sK44_SY686: list_P227219501e_name > list_P227219501e_name > ( list_P227219501e_name > list_P227219501e_name > $o ) > list_P227219501e_name ).
thf(tp_sK45_SY1079,type,
sK45_SY1079: produc1872410278e_name > list_P227219501e_name ).
thf(tp_sK46_SY1080,type,
sK46_SY1080: produc890461031e_name > list_P227219501e_name ).
thf(tp_sK47_SY1081,type,
sK47_SY1081: list_P227219501e_name > list_P227219501e_name > ( list_P227219501e_name > list_P227219501e_name > $o ) > list_P227219501e_name ).
thf(tp_sK48_SY581,type,
sK48_SY581: list_P227219501e_name > produc367475239e_name ).
thf(tp_sK49_SY1083,type,
sK49_SY1083: ( produc367475239e_name > produc367475239e_name > $o ) > list_P227219501e_name > ( ( produc367475239e_name > produc367475239e_name > $o ) > list_P227219501e_name > $o ) > produc367475239e_name ).
thf(tp_sK4_SY619,type,
sK4_SY619: produc890461031e_name > list_P227219501e_name ).
thf(tp_sK50_SY600,type,
sK50_SY600: list_l1406151091e_name > produc367475239e_name ).
thf(tp_sK51_SY1085,type,
sK51_SY1085: ( produc367475239e_name > produc367475239e_name > $o ) > list_P227219501e_name > ( ( produc367475239e_name > produc367475239e_name > $o ) > list_P227219501e_name > $o ) > produc367475239e_name ).
thf(tp_sK52_SY737,type,
sK52_SY737: list_P227219501e_name > ( list_P227219501e_name > $o ) > produc367475239e_name ).
thf(tp_sK53_SY759,type,
sK53_SY759: list_P227219501e_name > ( list_P227219501e_name > $o ) > produc367475239e_name ).
thf(tp_sK54_SY1086,type,
sK54_SY1086: list_P227219501e_name > list_P227219501e_name > ( list_P227219501e_name > list_P227219501e_name > $o ) > list_P227219501e_name ).
thf(tp_sK55_SY1087,type,
sK55_SY1087: list_P227219501e_name > produc367475239e_name ).
thf(tp_sK56_SY1089,type,
sK56_SY1089: ( produc367475239e_name > produc367475239e_name > $o ) > list_P227219501e_name > ( ( produc367475239e_name > produc367475239e_name > $o ) > list_P227219501e_name > $o ) > list_P227219501e_name ).
thf(tp_sK57_SY595,type,
sK57_SY595: list_P227219501e_name > list_P227219501e_name > ( produc367475239e_name > produc367475239e_name ) > ( ( produc367475239e_name > produc367475239e_name ) > list_P227219501e_name > list_P227219501e_name > $o ) > produc367475239e_name > produc367475239e_name ).
thf(tp_sK58_SY1090,type,
sK58_SY1090: list_l1406151091e_name > list_P227219501e_name ).
thf(tp_sK59_SY621,type,
sK59_SY621: produc890461031e_name > produc367475239e_name ).
thf(tp_sK5_SY639,type,
sK5_SY639: ( list_P227219501e_name > $o ) > list_P227219501e_name ).
thf(tp_sK60_SY902,type,
sK60_SY902: list_P227219501e_name > ( list_P227219501e_name > $o ) > produc367475239e_name ).
thf(tp_sK61_SY717,type,
sK61_SY717: list_P227219501e_name > produc367475239e_name ).
thf(tp_sK62_SY1092,type,
sK62_SY1092: list_P227219501e_name > ( list_P227219501e_name > $o ) > produc367475239e_name ).
thf(tp_sK63_SY1094,type,
sK63_SY1094: ( list_P227219501e_name > $o ) > list_P227219501e_name > produc367475239e_name ).
thf(tp_sK64_SY566,type,
sK64_SY566: list_P227219501e_name > list_P227219501e_name > ( list_P227219501e_name > list_P227219501e_name > $o ) > produc367475239e_name ).
thf(tp_sK65_SY1096,type,
sK65_SY1096: list_P227219501e_name > list_P227219501e_name ).
thf(tp_sK66_SY1097,type,
sK66_SY1097: ( produc367475239e_name > produc367475239e_name ) > list_P227219501e_name > list_P227219501e_name > ( ( produc367475239e_name > produc367475239e_name ) > list_P227219501e_name > list_P227219501e_name > $o ) > produc367475239e_name ).
thf(tp_sK67_SY1100,type,
sK67_SY1100: list_l1406151091e_name > list_l1406151091e_name ).
thf(tp_sK68_SY1101,type,
sK68_SY1101: produc890461031e_name > list_P227219501e_name ).
thf(tp_sK69_SY1104,type,
sK69_SY1104: list_P227219501e_name > ( list_P227219501e_name > $o ) > list_P227219501e_name ).
thf(tp_sK6_SY676,type,
sK6_SY676: produc1872410278e_name > produc367475239e_name > produc367475239e_name > $o ).
thf(tp_sK70_SY679,type,
sK70_SY679: produc1872410278e_name > produc367475239e_name > produc367475239e_name > $o ).
thf(tp_sK71_SY687,type,
sK71_SY687: list_P227219501e_name > list_P227219501e_name > ( list_P227219501e_name > list_P227219501e_name > $o ) > produc367475239e_name ).
thf(tp_sK72_SY1106,type,
sK72_SY1106: list_P227219501e_name > ( list_P227219501e_name > $o ) > list_P227219501e_name ).
thf(tp_sK73_SY1107,type,
sK73_SY1107: ( list_P227219501e_name > $o ) > list_P227219501e_name > list_P227219501e_name ).
thf(tp_sK74_SY1108,type,
sK74_SY1108: list_P227219501e_name > list_P227219501e_name > ( list_P227219501e_name > list_P227219501e_name > $o ) > list_P227219501e_name ).
thf(tp_sK75_SY1109,type,
sK75_SY1109: ( produc367475239e_name > produc367475239e_name ) > list_P227219501e_name > list_P227219501e_name > ( ( produc367475239e_name > produc367475239e_name ) > list_P227219501e_name > list_P227219501e_name > $o ) > list_P227219501e_name ).
thf(tp_sK76_SY1111,type,
sK76_SY1111: produc890461031e_name > produc367475239e_name ).
thf(tp_sK77_SY652,type,
sK77_SY652: list_P227219501e_name > ( produc367475239e_name > produc367475239e_name > $o ) > ( ( produc367475239e_name > produc367475239e_name > $o ) > list_P227219501e_name > $o ) > produc367475239e_name > produc367475239e_name > $o ).
thf(tp_sK78_SY1113,type,
sK78_SY1113: produc1872410278e_name > produc367475239e_name ).
thf(tp_sK79_SY1116,type,
sK79_SY1116: list_P227219501e_name > list_P227219501e_name > ( list_P227219501e_name > list_P227219501e_name > $o ) > list_P227219501e_name ).
thf(tp_sK7_SY702,type,
sK7_SY702: produc1872410278e_name > produc367475239e_name > produc367475239e_name > $o ).
thf(tp_sK80_SY1119,type,
sK80_SY1119: ( produc367475239e_name > produc367475239e_name ) > list_P227219501e_name > list_P227219501e_name > ( ( produc367475239e_name > produc367475239e_name ) > list_P227219501e_name > list_P227219501e_name > $o ) > list_P227219501e_name ).
thf(tp_sK81_SY1120,type,
sK81_SY1120: produc890461031e_name > list_P227219501e_name ).
thf(tp_sK82_SY1121,type,
sK82_SY1121: ( produc367475239e_name > produc367475239e_name > $o ) > list_P227219501e_name > ( ( produc367475239e_name > produc367475239e_name > $o ) > list_P227219501e_name > $o ) > produc367475239e_name ).
thf(tp_sK83_SY1124,type,
sK83_SY1124: produc1872410278e_name > produc367475239e_name ).
thf(tp_sK84_SY1126,type,
sK84_SY1126: list_P227219501e_name > list_P227219501e_name > ( list_P227219501e_name > list_P227219501e_name > $o ) > produc367475239e_name ).
thf(tp_sK85_SY1105,type,
sK85_SY1105: list_P227219501e_name > list_P227219501e_name ).
thf(tp_sK86_SY1128,type,
sK86_SY1128: ( produc367475239e_name > produc367475239e_name > $o ) > list_P227219501e_name > ( ( produc367475239e_name > produc367475239e_name > $o ) > list_P227219501e_name > $o ) > produc367475239e_name ).
thf(tp_sK87_SY1130,type,
sK87_SY1130: produc1872410278e_name > list_P227219501e_name ).
thf(tp_sK88_SY1131,type,
sK88_SY1131: list_P227219501e_name > list_P227219501e_name > ( list_P227219501e_name > list_P227219501e_name > $o ) > list_P227219501e_name ).
thf(tp_sK89_SY568,type,
sK89_SY568: list_P227219501e_name > list_P227219501e_name > ( list_P227219501e_name > list_P227219501e_name > $o ) > produc367475239e_name ).
thf(tp_sK8_SY740,type,
sK8_SY740: produc890461031e_name > list_P227219501e_name ).
thf(tp_sK90_SY1132,type,
sK90_SY1132: ( produc367475239e_name > produc367475239e_name > $o ) > list_P227219501e_name > ( ( produc367475239e_name > produc367475239e_name > $o ) > list_P227219501e_name > $o ) > list_P227219501e_name ).
thf(tp_sK91_SY717,type,
sK91_SY717: list_P227219501e_name > produc367475239e_name > list_P227219501e_name > produc367475239e_name ).
thf(tp_sK92_SY1133,type,
sK92_SY1133: list_P227219501e_name > list_P227219501e_name > ( list_P227219501e_name > list_P227219501e_name > $o ) > list_P227219501e_name ).
thf(tp_sK93_SY1137,type,
sK93_SY1137: list_P227219501e_name > list_P227219501e_name > ( list_P227219501e_name > list_P227219501e_name > $o ) > produc367475239e_name ).
thf(tp_sK94_SY1139,type,
sK94_SY1139: list_P227219501e_name > list_P227219501e_name > ( list_P227219501e_name > list_P227219501e_name > $o ) > list_P227219501e_name ).
thf(tp_sK95_SY1136,type,
sK95_SY1136: produc367475239e_name > list_P227219501e_name > list_P227219501e_name > list_P227219501e_name ).
thf(tp_sK9_SY877,type,
sK9_SY877: set_Pr443758855e_name > set_Pr443758855e_name > name ).
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_sum,type,
sum: pi > pi > pi ).
thf(tp_swap_name,type,
swap_name: produc367475239e_name > name > name ).
thf(tp_x,type,
x: name ).
thf(tp_y,type,
y: name ).
thf(3,axiom,
! [P2: $o] :
( ( P2 = $true )
| ( P2 = $false ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_If_3_1_If_001t__Late____Semantics__Osubject_T) ).
thf(12,axiom,
! [Name2: name,Name: name] :
( ( late_InputS @ Name2 )
!= ( late_BoundOutputS @ Name ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_352_Late__Semantics_Osubject_Odistinct_I1_J) ).
thf(16,axiom,
! [A: name,B: name,Pi: list_P227219501e_name,X: name] :
( ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ Pi ) @ X )
= ( swap_name @ ( produc1570949143e_name @ A @ B ) @ ( perm_name_name @ Pi @ X ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_348_name__calc_I1_J) ).
thf(20,axiom,
! [A: name,X: name,P2: pi,B: name,Y4: name,P4: pi] :
~ ( late_transitions @ ( input @ A @ X @ P2 ) @ ( late_BoundR @ ( late_BoundOutputS @ B ) @ Y4 @ P4 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_344_inputBoundOutputTrans) ).
thf(26,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/sandbox2/benchmark/theBenchmark.p',fact_338_pi_Operm_I4_J) ).
thf(27,axiom,
! [C2: name,P2: pi,A: name,X: name] :
( ( fresh_name_pi @ C2 @ P2 )
=> ( ( input @ A @ X @ P2 )
= ( input @ A @ C2 @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ X @ C2 ) @ nil_Pr743626285e_name ) @ P2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_337_alphaInput) ).
thf(45,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/sandbox2/benchmark/theBenchmark.p',fact_319_residual_Operm_I2_J) ).
thf(52,axiom,
! [X6: name,P2: pi,A: late_subject,X: name] :
( ( fresh_name_pi @ X6 @ P2 )
=> ( ( late_BoundR @ A @ X @ P2 )
= ( late_BoundR @ A @ X6 @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ X @ X6 ) @ nil_Pr743626285e_name ) @ P2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_312_alphaBoundResidual) ).
thf(53,axiom,
! [P2: pi,Rel: set_Pr1834926343_pi_pi,Q: pi,Rel3: set_Pr1834926343_pi_pi,Perm: list_P227219501e_name] :
( ( strong743114133lation @ P2 @ Rel @ Q )
=> ( ( ord_le630093991_pi_pi @ Rel @ Rel3 )
=> ( ( eqvt_pi @ Rel3 )
=> ( strong743114133lation @ ( perm_name_pi @ Perm @ P2 ) @ Rel3 @ ( perm_name_pi @ Perm @ Q ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_311_eqvtI) ).
thf(62,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/sandbox2/benchmark/theBenchmark.p',fact_302_eqvt) ).
thf(78,axiom,
! [C2: name,P2: pi,A: name] :
( ( fresh_name_pi @ C2 @ P2 )
=> ( ( res @ A @ P2 )
= ( res @ C2 @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ C2 ) @ nil_Pr743626285e_name ) @ P2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_286_alphaRes) ).
thf(97,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/sandbox2/benchmark/theBenchmark.p',fact_267_pi_Operm_I9_J) ).
thf(98,axiom,
! [Pi: list_P227219501e_name,X2: pi,X1: pi] :
( ( perm_name_pi @ Pi @ ( sum @ X2 @ X1 ) )
= ( sum @ ( perm_name_pi @ Pi @ X2 ) @ ( perm_name_pi @ Pi @ X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_266_pi_Operm_I7_J) ).
thf(106,axiom,
! [Rel: set_Pr1834926343_pi_pi,Perm: list_P227219501e_name,P2: pi,Q: pi] :
( ( eqvt_pi @ Rel )
=> ( ( member558706512_pi_pi @ ( product_Pair_pi_pi @ ( perm_name_pi @ Perm @ P2 ) @ ( perm_name_pi @ Perm @ Q ) ) @ Rel )
=> ( member558706512_pi_pi @ ( product_Pair_pi_pi @ P2 @ Q ) @ Rel ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_258_eqvtRelE) ).
thf(107,axiom,
! [Rel: set_Pr443758855e_name,Perm: list_P227219501e_name,P2: name,Q: name] :
( ( eqvt_name @ Rel )
=> ( ( member695284560e_name @ ( produc1570949143e_name @ ( perm_name_name @ Perm @ P2 ) @ ( perm_name_name @ Perm @ Q ) ) @ Rel )
=> ( member695284560e_name @ ( produc1570949143e_name @ P2 @ Q ) @ Rel ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_257_eqvtRelE) ).
thf(111,axiom,
! [P2: pi,Q: pi,A: late_subject,X: name,A4: set_Pr1834926343_pi_pi,B4: set_Pr1834926343_pi_pi] :
( ( strong2129052853vative @ P2 @ Q @ A @ X @ A4 )
=> ( ( ord_le630093991_pi_pi @ A4 @ B4 )
=> ( strong2129052853vative @ P2 @ Q @ A @ X @ B4 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_253_derivativeMonotonic) ).
thf(113,axiom,
! [P3: produc367475239e_name] :
( ( member695284560e_name @ P3 @ id_name )
=> ~ ! [X4: name] :
( P3
!= ( produc1570949143e_name @ X4 @ X4 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_251_IdE) ).
thf(116,axiom,
! [R: set_Pr443758855e_name,S: set_Pr443758855e_name] :
( ! [X4: name,Y3: name] :
( ( member695284560e_name @ ( produc1570949143e_name @ X4 @ Y3 ) @ R )
=> ( member695284560e_name @ ( produc1570949143e_name @ X4 @ Y3 ) @ S ) )
=> ( ord_le793202855e_name @ R @ S ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_248_subrelI) ).
thf(124,axiom,
! [A: name,X: name,Y4: name] :
( ( fresh_441084397e_name @ A @ ( produc1570949143e_name @ X @ Y4 ) )
=> ( fresh_name_name @ A @ Y4 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_240_fresh__prodD_I2_J) ).
thf(127,axiom,
! [A: name,X: name,Y4: name] :
( ( fresh_441084397e_name @ A @ ( produc1570949143e_name @ X @ Y4 ) )
=> ( fresh_name_name @ A @ X ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_237_fresh__prodD_I1_J) ).
thf(128,axiom,
! [Pi: list_P227219501e_name,X: pi,Xs2: list_pi] :
( ( perm_name_list_pi @ Pi @ ( cons_pi @ X @ Xs2 ) )
= ( cons_pi @ ( perm_name_pi @ Pi @ X ) @ ( perm_name_list_pi @ Pi @ Xs2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_236_cons__eqvt) ).
thf(133,axiom,
! [Pi: list_P227219501e_name,X: late_freeRes,Y4: pi] :
( ( perm_n1211707594Res_pi @ Pi @ ( produc1177552196Res_pi @ X @ Y4 ) )
= ( produc1177552196Res_pi @ ( perm_n336613537reeRes @ Pi @ X ) @ ( perm_name_pi @ Pi @ Y4 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_231_perm__prod_Osimps) ).
thf(138,axiom,
! [Pi: list_P227219501e_name,X: late_subject,Y4: pi] :
( ( perm_n359102898ect_pi @ Pi @ ( produc324947500ect_pi @ X @ Y4 ) )
= ( produc324947500ect_pi @ ( perm_n1559866809ubject @ Pi @ X ) @ ( perm_name_pi @ Pi @ Y4 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_226_perm__prod_Osimps) ).
thf(144,axiom,
! [C2: $o,Pi: list_P227219501e_name,X: pi,Y4: pi] :
( ( C2
=> ( ( perm_name_pi @ Pi @ ( if_pi @ C2 @ X @ Y4 ) )
= ( perm_name_pi @ Pi @ X ) ) )
& ( ~ C2
=> ( ( perm_name_pi @ Pi @ ( if_pi @ C2 @ X @ Y4 ) )
= ( perm_name_pi @ Pi @ Y4 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_220_abs__fun__if) ).
thf(149,axiom,
! [X: pi,Y4: pi,Pi: list_P227219501e_name] :
( ( X = Y4 )
=> ( ( perm_name_pi @ Pi @ X )
= ( perm_name_pi @ Pi @ Y4 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_215_pt__bij3) ).
thf(154,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/sandbox2/benchmark/theBenchmark.p',fact_210_if__eqvt) ).
thf(159,axiom,
! [P2: list_P227219501e_name > $o] :
( ! [X_1: list_P227219501e_name] : ( P2 @ X_1 )
=> ( P2 @ nil_Pr743626285e_name ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_205_allE__Nil) ).
thf(161,axiom,
! [A: name,X1: name] :
( ( fresh_717452603ubject @ A @ ( late_BoundOutputS @ X1 ) )
= ( fresh_name_name @ A @ X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_203_subject_Ofresh_I2_J) ).
thf(163,axiom,
! [Rel: set_Pr1834926343_pi_pi,P2: pi,Q: pi,Perm: list_P227219501e_name] :
( ( eqvt_pi @ Rel )
=> ( ( member558706512_pi_pi @ ( product_Pair_pi_pi @ P2 @ Q ) @ Rel )
=> ( member558706512_pi_pi @ ( product_Pair_pi_pi @ ( perm_name_pi @ Perm @ P2 ) @ ( perm_name_pi @ Perm @ Q ) ) @ Rel ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_201_eqvtRelI) ).
thf(164,axiom,
! [Rel: set_Pr443758855e_name,P2: name,Q: name,Perm: list_P227219501e_name] :
( ( eqvt_name @ Rel )
=> ( ( member695284560e_name @ ( produc1570949143e_name @ P2 @ Q ) @ Rel )
=> ( member695284560e_name @ ( produc1570949143e_name @ ( perm_name_name @ Perm @ P2 ) @ ( perm_name_name @ Perm @ Q ) ) @ Rel ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_200_eqvtRelI) ).
thf(168,axiom,
! [P2: pi,Q: pi,A: late_subject,X: name,Rel: set_Pr1834926343_pi_pi,Perm: list_P227219501e_name] :
( ( strong2129052853vative @ P2 @ Q @ A @ X @ Rel )
=> ( ( eqvt_pi @ Rel )
=> ( strong2129052853vative @ ( perm_name_pi @ Perm @ P2 ) @ ( perm_name_pi @ Perm @ Q ) @ A @ ( perm_name_name @ Perm @ X ) @ Rel ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_196_derivativeEqvtI2) ).
thf(169,axiom,
! [P2: pi,Q: pi,A: late_subject,X: name,Rel: set_Pr1834926343_pi_pi,Perm: list_P227219501e_name] :
( ( strong2129052853vative @ P2 @ Q @ A @ X @ Rel )
=> ( ( eqvt_pi @ Rel )
=> ( strong2129052853vative @ ( perm_name_pi @ Perm @ P2 ) @ ( perm_name_pi @ Perm @ Q ) @ ( perm_n1559866809ubject @ Perm @ A ) @ ( perm_name_name @ Perm @ X ) @ Rel ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_195_derivativeEqvtI) ).
thf(170,axiom,
! [Rel: set_Pr1834926343_pi_pi,P2: pi,A: late_subject,X: name] :
( ( ord_le630093991_pi_pi @ id_pi @ Rel )
=> ( strong2129052853vative @ P2 @ P2 @ A @ X @ Rel ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_194_derivativeReflexive) ).
thf(171,axiom,
fresh_name_pi @ y @ p,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_193__092_060open_062y_A_092_060sharp_062_AP_092_060close_062) ).
thf(183,axiom,
! [A: name] : ( member695284560e_name @ ( produc1570949143e_name @ A @ A ) @ id_name ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_181_IdI) ).
thf(185,axiom,
! [A: name,B: name] :
( ( member695284560e_name @ ( produc1570949143e_name @ A @ B ) @ id_name )
= ( A = B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_179_pair__in__Id__conv) ).
thf(186,axiom,
fresh_name_pi @ y @ q,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_178__092_060open_062y_A_092_060sharp_062_AQ_092_060close_062) ).
thf(187,axiom,
! [X21: produc367475239e_name,X22: list_P227219501e_name] :
( nil_Pr743626285e_name
!= ( cons_P1213805021e_name @ X21 @ X22 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_177_list_Odistinct_I1_J) ).
thf(188,axiom,
! [List: list_P227219501e_name,X21: produc367475239e_name,X22: list_P227219501e_name] :
( ( List
= ( cons_P1213805021e_name @ X21 @ X22 ) )
=> ( List != nil_Pr743626285e_name ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_176_list_OdiscI) ).
thf(189,axiom,
! [Y4: list_P227219501e_name] :
( ( Y4 != nil_Pr743626285e_name )
=> ~ ! [X212: produc367475239e_name,X222: list_P227219501e_name] :
( Y4
!= ( cons_P1213805021e_name @ X212 @ X222 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_175_list_Oexhaust) ).
thf(190,axiom,
! [P2: list_P227219501e_name > $o,List: list_P227219501e_name] :
( ( P2 @ nil_Pr743626285e_name )
=> ( ! [X12: produc367475239e_name,X23: list_P227219501e_name] :
( ( P2 @ X23 )
=> ( P2 @ ( cons_P1213805021e_name @ X12 @ X23 ) ) )
=> ( P2 @ List ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_174_list_Oinducts) ).
thf(191,axiom,
! [Xs2: list_P227219501e_name] :
( ( Xs2 != nil_Pr743626285e_name )
= ( ? [Y5: produc367475239e_name,Ys3: list_P227219501e_name] :
( Xs2
= ( cons_P1213805021e_name @ Y5 @ Ys3 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_173_neq__Nil__conv) ).
thf(192,axiom,
! [P2: list_P227219501e_name > list_P227219501e_name > $o,Xs2: list_P227219501e_name,Ys2: list_P227219501e_name] :
( ( P2 @ nil_Pr743626285e_name @ nil_Pr743626285e_name )
=> ( ! [X4: produc367475239e_name,Xs: list_P227219501e_name] : ( P2 @ ( cons_P1213805021e_name @ X4 @ Xs ) @ nil_Pr743626285e_name )
=> ( ! [Y3: produc367475239e_name,Ys: list_P227219501e_name] : ( P2 @ nil_Pr743626285e_name @ ( cons_P1213805021e_name @ Y3 @ Ys ) )
=> ( ! [X4: produc367475239e_name,Xs: list_P227219501e_name,Y3: produc367475239e_name,Ys: list_P227219501e_name] :
( ( P2 @ Xs @ Ys )
=> ( P2 @ ( cons_P1213805021e_name @ X4 @ Xs ) @ ( cons_P1213805021e_name @ Y3 @ Ys ) ) )
=> ( P2 @ Xs2 @ Ys2 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_172_list__induct2_H) ).
thf(193,axiom,
! [P2: list_P227219501e_name > list_P227219501e_name > $o,A0: list_P227219501e_name,A1: list_P227219501e_name] :
( ! [X_1: list_P227219501e_name] : ( P2 @ nil_Pr743626285e_name @ X_1 )
=> ( ! [X4: produc367475239e_name,Xs: list_P227219501e_name,Ys: list_P227219501e_name] :
( ( P2 @ Ys @ Xs )
=> ( P2 @ ( cons_P1213805021e_name @ X4 @ Xs ) @ Ys ) )
=> ( P2 @ A0 @ A1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_171_splice_Oinduct) ).
thf(194,axiom,
! [P2: list_P227219501e_name > $o,Xs2: list_P227219501e_name] :
( ( P2 @ nil_Pr743626285e_name )
=> ( ! [X4: produc367475239e_name] : ( P2 @ ( cons_P1213805021e_name @ X4 @ nil_Pr743626285e_name ) )
=> ( ! [X4: produc367475239e_name,Y3: produc367475239e_name,Zs: list_P227219501e_name] :
( ( P2 @ Zs )
=> ( ( P2 @ ( cons_P1213805021e_name @ Y3 @ Zs ) )
=> ( P2 @ ( cons_P1213805021e_name @ X4 @ ( cons_P1213805021e_name @ Y3 @ Zs ) ) ) ) )
=> ( P2 @ Xs2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_170_induct__list012) ).
thf(195,axiom,
! [P2: list_P227219501e_name > list_P227219501e_name > $o,A0: list_P227219501e_name,A1: list_P227219501e_name] :
( ! [X_1: list_P227219501e_name] : ( P2 @ nil_Pr743626285e_name @ X_1 )
=> ( ! [Xs: list_P227219501e_name] : ( P2 @ Xs @ nil_Pr743626285e_name )
=> ( ! [X4: produc367475239e_name,Xs: list_P227219501e_name,Y3: produc367475239e_name,Ys: list_P227219501e_name] :
( ( P2 @ Xs @ ( cons_P1213805021e_name @ Y3 @ Ys ) )
=> ( ( P2 @ ( cons_P1213805021e_name @ X4 @ Xs ) @ Ys )
=> ( P2 @ ( cons_P1213805021e_name @ X4 @ Xs ) @ ( cons_P1213805021e_name @ Y3 @ Ys ) ) ) )
=> ( P2 @ A0 @ A1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_169_shuffles_Oinduct) ).
thf(196,axiom,
! [X: list_l1406151091e_name] :
( ( X != nil_li29751603e_name )
=> ( ! [Xss: list_l1406151091e_name] :
( X
!= ( cons_l798145763e_name @ nil_Pr743626285e_name @ Xss ) )
=> ~ ! [X4: produc367475239e_name,Xs: list_P227219501e_name,Xss: list_l1406151091e_name] :
( X
!= ( cons_l798145763e_name @ ( cons_P1213805021e_name @ X4 @ Xs ) @ Xss ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_168_transpose_Ocases) ).
thf(197,axiom,
! [X: list_P227219501e_name] :
( ( X != nil_Pr743626285e_name )
=> ( ! [X4: produc367475239e_name] :
( X
!= ( cons_P1213805021e_name @ X4 @ nil_Pr743626285e_name ) )
=> ~ ! [X4: produc367475239e_name,Y3: produc367475239e_name,Xs: list_P227219501e_name] :
( X
!= ( cons_P1213805021e_name @ X4 @ ( cons_P1213805021e_name @ Y3 @ Xs ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_167_remdups__adj_Ocases) ).
thf(198,axiom,
! [P2: ( produc367475239e_name > produc367475239e_name > $o ) > list_P227219501e_name > $o,A0: produc367475239e_name > produc367475239e_name > $o,A1: list_P227219501e_name] :
( ! [P: produc367475239e_name > produc367475239e_name > $o] : ( P2 @ P @ nil_Pr743626285e_name )
=> ( ! [P: produc367475239e_name > produc367475239e_name > $o,X4: produc367475239e_name,Ys: list_P227219501e_name] :
( ( P2 @ P @ Ys )
=> ( P2 @ P @ ( cons_P1213805021e_name @ X4 @ Ys ) ) )
=> ( P2 @ A0 @ A1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_166_sorted__wrt_Oinduct) ).
thf(199,axiom,
! [P2: list_P227219501e_name > $o,A0: list_P227219501e_name] :
( ( P2 @ nil_Pr743626285e_name )
=> ( ! [X4: produc367475239e_name] : ( P2 @ ( cons_P1213805021e_name @ X4 @ nil_Pr743626285e_name ) )
=> ( ! [X4: produc367475239e_name,Y3: produc367475239e_name,Xs: list_P227219501e_name] :
( ( ( X4 = Y3 )
=> ( P2 @ ( cons_P1213805021e_name @ X4 @ Xs ) ) )
=> ( ( ( X4 != Y3 )
=> ( P2 @ ( cons_P1213805021e_name @ Y3 @ Xs ) ) )
=> ( P2 @ ( cons_P1213805021e_name @ X4 @ ( cons_P1213805021e_name @ Y3 @ Xs ) ) ) ) )
=> ( P2 @ A0 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_165_remdups__adj_Oinduct) ).
thf(200,axiom,
! [P2: ( produc367475239e_name > produc367475239e_name > $o ) > list_P227219501e_name > $o,A0: produc367475239e_name > produc367475239e_name > $o,A1: list_P227219501e_name] :
( ! [P: produc367475239e_name > produc367475239e_name > $o] : ( P2 @ P @ nil_Pr743626285e_name )
=> ( ! [P: produc367475239e_name > produc367475239e_name > $o,X4: produc367475239e_name] : ( P2 @ P @ ( cons_P1213805021e_name @ X4 @ nil_Pr743626285e_name ) )
=> ( ! [P: produc367475239e_name > produc367475239e_name > $o,X4: produc367475239e_name,Y3: produc367475239e_name,Xs: list_P227219501e_name] :
( ( P2 @ P @ ( cons_P1213805021e_name @ Y3 @ Xs ) )
=> ( P2 @ P @ ( cons_P1213805021e_name @ X4 @ ( cons_P1213805021e_name @ Y3 @ Xs ) ) ) )
=> ( P2 @ A0 @ A1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_164_successively_Oinduct) ).
thf(201,axiom,
! [Xs2: list_P227219501e_name,P2: list_P227219501e_name > $o] :
( ( Xs2 != nil_Pr743626285e_name )
=> ( ! [X4: produc367475239e_name] : ( P2 @ ( cons_P1213805021e_name @ X4 @ nil_Pr743626285e_name ) )
=> ( ! [X4: produc367475239e_name,Xs: list_P227219501e_name] :
( ( Xs != nil_Pr743626285e_name )
=> ( ( P2 @ Xs )
=> ( P2 @ ( cons_P1213805021e_name @ X4 @ Xs ) ) ) )
=> ( P2 @ Xs2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_163_list__nonempty__induct) ).
thf(202,axiom,
! [P2: ( produc367475239e_name > produc367475239e_name ) > list_P227219501e_name > list_P227219501e_name > $o,A0: produc367475239e_name > produc367475239e_name,A1: list_P227219501e_name,A22: list_P227219501e_name] :
( ! [F2: produc367475239e_name > produc367475239e_name,X_1: list_P227219501e_name] : ( P2 @ F2 @ nil_Pr743626285e_name @ X_1 )
=> ( ! [F2: produc367475239e_name > produc367475239e_name,A3: produc367475239e_name,As: list_P227219501e_name,Bs: list_P227219501e_name] :
( ( P2 @ F2 @ As @ ( cons_P1213805021e_name @ ( F2 @ A3 ) @ Bs ) )
=> ( P2 @ F2 @ ( cons_P1213805021e_name @ A3 @ As ) @ Bs ) )
=> ( P2 @ A0 @ A1 @ A22 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_162_map__tailrec__rev_Oinduct) ).
thf(203,axiom,
! [Pi: list_P227219501e_name,X: pi,Y4: pi] :
( ( perm_name_o @ Pi @ ( X = Y4 ) )
= ( ( perm_name_pi @ Pi @ X )
= ( perm_name_pi @ Pi @ Y4 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_161_eq__eqvt) ).
thf(208,axiom,
! [Pi: list_P227219501e_name,X: pi,X3: set_pi] :
( ( perm_name_o @ Pi @ ( member_pi @ X @ X3 ) )
= ( member_pi @ ( perm_name_pi @ Pi @ X ) @ ( perm_name_set_pi @ Pi @ X3 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_156_in__eqvt) ).
thf(214,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/sandbox2/benchmark/theBenchmark.p',fact_150_perm__app) ).
thf(219,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/sandbox2/benchmark/theBenchmark.p',fact_145_perm__app) ).
thf(224,axiom,
! [Pi: list_P227219501e_name,X: pi,Y4: pi] :
( ( ( perm_name_pi @ Pi @ X )
= ( perm_name_pi @ Pi @ Y4 ) )
= ( X = Y4 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_140_perm__bij) ).
thf(229,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/sandbox2/benchmark/theBenchmark.p',fact_135_perm__compose) ).
thf(234,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/sandbox2/benchmark/theBenchmark.p',fact_130_name__perm__compose) ).
thf(239,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/sandbox2/benchmark/theBenchmark.p',fact_125_cp__name__name1) ).
thf(244,axiom,
! [X: produc367475239e_name,Xs2: list_P227219501e_name] :
( ( cons_P1213805021e_name @ X @ Xs2 )
!= Xs2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_120_not__Cons__self2) ).
thf(247,axiom,
! [P3: produc367475239e_name] :
? [X4: name,Y3: name] :
( P3
= ( produc1570949143e_name @ X4 @ Y3 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_117_surj__pair) ).
thf(250,axiom,
! [P2: produc367475239e_name > $o,P3: produc367475239e_name] :
( ! [A3: name,B3: name] : ( P2 @ ( produc1570949143e_name @ A3 @ B3 ) )
=> ( P2 @ P3 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_114_prod__cases) ).
thf(253,axiom,
! [A: name,B: name,A2: name,B2: name] :
( ( ( produc1570949143e_name @ A @ B )
= ( produc1570949143e_name @ A2 @ B2 ) )
=> ~ ( ( A = A2 )
=> ( B != B2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_111_Pair__inject) ).
thf(260,axiom,
! [Y4: produc367475239e_name] :
~ ! [A3: name,B3: name] :
( Y4
!= ( produc1570949143e_name @ A3 @ B3 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_104_old_Oprod_Oexhaust) ).
thf(263,axiom,
! [P2: produc367475239e_name > $o,Prod: produc367475239e_name] :
( ! [A3: name,B3: name] : ( P2 @ ( produc1570949143e_name @ A3 @ B3 ) )
=> ( P2 @ Prod ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_101_old_Oprod_Oinducts) ).
thf(264,axiom,
! [C2: name,A: name,X: pi,B: name] :
( ( C2 != A )
=> ( ( fresh_name_pi @ A @ X )
=> ( ( fresh_name_pi @ C2 @ X )
=> ( fresh_name_pi @ C2 @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ X ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_100_fresh__aux) ).
thf(265,axiom,
! [C2: name,A: name,X: name,B: name] :
( ( C2 != A )
=> ( ( fresh_name_name @ A @ X )
=> ( ( fresh_name_name @ C2 @ X )
=> ( fresh_name_name @ C2 @ ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ X ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_99_fresh__aux) ).
thf(266,axiom,
! [C2: name,A: name,X: produc1141751126_pi_pi,B: name] :
( ( C2 != A )
=> ( ( fresh_1376661020_pi_pi @ A @ X )
=> ( ( fresh_1376661020_pi_pi @ C2 @ X )
=> ( fresh_1376661020_pi_pi @ C2 @ ( perm_n1255502110_pi_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ X ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_98_fresh__aux) ).
thf(267,axiom,
! [C2: name,A: name,X: late_freeRes,B: name] :
( ( C2 != A )
=> ( ( fresh_1641682979reeRes @ A @ X )
=> ( ( fresh_1641682979reeRes @ C2 @ X )
=> ( fresh_1641682979reeRes @ C2 @ ( perm_n336613537reeRes @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ X ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_97_fresh__aux) ).
thf(268,axiom,
! [C2: name,A: name,X: late_subject,B: name] :
( ( C2 != A )
=> ( ( fresh_717452603ubject @ A @ X )
=> ( ( fresh_717452603ubject @ C2 @ X )
=> ( fresh_717452603ubject @ C2 @ ( perm_n1559866809ubject @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ X ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_96_fresh__aux) ).
thf(269,axiom,
! [C2: name,A: name,X: pi_Rep,B: name] :
( ( C2 != A )
=> ( ( fresh_name_pi_Rep @ A @ X )
=> ( ( fresh_name_pi_Rep @ C2 @ X )
=> ( fresh_name_pi_Rep @ C2 @ ( perm_name_pi_Rep @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ X ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_95_fresh__aux) ).
thf(270,axiom,
! [A: name,C2: name,B: name] :
( ( A != C2 )
=> ( ( B != C2 )
=> ( ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ C2 )
= C2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_94_swap__simps_I3_J) ).
thf(271,axiom,
! [A: name,B: name] :
( ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ B )
= A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_93_swap__simps_I2_J) ).
thf(272,axiom,
! [A: name,B: name] :
( ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ A )
= B ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_92_swap__simps_I1_J) ).
thf(273,axiom,
! [X: produc890461031e_name] :
( ! [Ys: list_P227219501e_name] :
( X
!= ( produc208131031e_name @ nil_Pr743626285e_name @ Ys ) )
=> ~ ! [X4: produc367475239e_name,Xs: list_P227219501e_name,Ys: list_P227219501e_name] :
( X
!= ( produc208131031e_name @ ( cons_P1213805021e_name @ X4 @ Xs ) @ Ys ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_91_splice_Ocases) ).
thf(274,axiom,
! [X: produc890461031e_name] :
( ! [Ys: list_P227219501e_name] :
( X
!= ( produc208131031e_name @ nil_Pr743626285e_name @ Ys ) )
=> ( ! [Xs: list_P227219501e_name] :
( X
!= ( produc208131031e_name @ Xs @ nil_Pr743626285e_name ) )
=> ~ ! [X4: produc367475239e_name,Xs: list_P227219501e_name,Y3: produc367475239e_name,Ys: list_P227219501e_name] :
( X
!= ( produc208131031e_name @ ( cons_P1213805021e_name @ X4 @ Xs ) @ ( cons_P1213805021e_name @ Y3 @ Ys ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_90_shuffles_Ocases) ).
thf(275,axiom,
! [X: produc1872410278e_name] :
( ! [P: produc367475239e_name > produc367475239e_name > $o] :
( X
!= ( produc1069608854e_name @ P @ nil_Pr743626285e_name ) )
=> ~ ! [P: produc367475239e_name > produc367475239e_name > $o,X4: produc367475239e_name,Ys: list_P227219501e_name] :
( X
!= ( produc1069608854e_name @ P @ ( cons_P1213805021e_name @ X4 @ Ys ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_89_sorted__wrt_Ocases) ).
thf(276,axiom,
! [X: produc1872410278e_name] :
( ! [P: produc367475239e_name > produc367475239e_name > $o] :
( X
!= ( produc1069608854e_name @ P @ nil_Pr743626285e_name ) )
=> ( ! [P: produc367475239e_name > produc367475239e_name > $o,X4: produc367475239e_name] :
( X
!= ( produc1069608854e_name @ P @ ( cons_P1213805021e_name @ X4 @ nil_Pr743626285e_name ) ) )
=> ~ ! [P: produc367475239e_name > produc367475239e_name > $o,X4: produc367475239e_name,Y3: produc367475239e_name,Xs: list_P227219501e_name] :
( X
!= ( produc1069608854e_name @ P @ ( cons_P1213805021e_name @ X4 @ ( cons_P1213805021e_name @ Y3 @ Xs ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_88_successively_Ocases) ).
thf(277,axiom,
! [X: name] :
( ( perm_name_name @ nil_Pr743626285e_name @ X )
= X ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_87_name__calc_I2_J) ).
thf(278,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/sandbox2/benchmark/theBenchmark.p',fact_86_fresh__bij) ).
thf(284,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/sandbox2/benchmark/theBenchmark.p',fact_80_fresh__eqvt) ).
thf(295,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/sandbox2/benchmark/theBenchmark.p',fact_69_fresh__perm__app) ).
thf(302,axiom,
fresh_717452603ubject @ y @ a,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_62_Bound_Ohyps_I4_J) ).
thf(303,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/sandbox2/benchmark/theBenchmark.p',fact_61_name__fresh__fresh) ).
thf(304,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/sandbox2/benchmark/theBenchmark.p',fact_60_name__fresh__fresh) ).
thf(305,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/sandbox2/benchmark/theBenchmark.p',fact_59_name__fresh__fresh) ).
thf(306,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/sandbox2/benchmark/theBenchmark.p',fact_58_name__fresh__fresh) ).
thf(307,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/sandbox2/benchmark/theBenchmark.p',fact_57_name__fresh__fresh) ).
thf(308,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/sandbox2/benchmark/theBenchmark.p',fact_56_name__fresh__fresh) ).
thf(309,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/sandbox2/benchmark/theBenchmark.p',fact_55_perm__fresh__fresh) ).
thf(310,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/sandbox2/benchmark/theBenchmark.p',fact_54_perm__fresh__fresh) ).
thf(311,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/sandbox2/benchmark/theBenchmark.p',fact_53_perm__fresh__fresh) ).
thf(312,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/sandbox2/benchmark/theBenchmark.p',fact_52_perm__fresh__fresh) ).
thf(313,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/sandbox2/benchmark/theBenchmark.p',fact_51_perm__fresh__fresh) ).
thf(314,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/sandbox2/benchmark/theBenchmark.p',fact_50_perm__fresh__fresh) ).
thf(315,axiom,
! [Pi: list_P227219501e_name,X1: name] :
( ( perm_n1559866809ubject @ Pi @ ( late_BoundOutputS @ X1 ) )
= ( late_BoundOutputS @ ( perm_name_name @ Pi @ X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_49_subject_Operm_I2_J) ).
thf(316,axiom,
! [Pi_Rep: pi_Rep] :
( ( perm_name_pi_Rep @ nil_Pr743626285e_name @ Pi_Rep )
= Pi_Rep ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_48_pi__perm__empty) ).
thf(317,axiom,
! [FreeRes_Rep: late_freeRes_Rep] :
( ( perm_n1938283068es_Rep @ nil_Pr743626285e_name @ FreeRes_Rep )
= FreeRes_Rep ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_47_freeRes__perm__empty) ).
thf(318,axiom,
! [Subject_Rep: late_subject_Rep] :
( ( perm_n697952036ct_Rep @ nil_Pr743626285e_name @ Subject_Rep )
= Subject_Rep ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_46_subject__perm__empty) ).
thf(319,axiom,
! [Residual_Rep: late_residual_Rep] :
( ( perm_n890803237al_Rep @ nil_Pr743626285e_name @ Residual_Rep )
= Residual_Rep ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_45_residual__perm__empty) ).
thf(322,axiom,
! [A: name,B: name,A2: name,B2: name] :
( ( ( produc1570949143e_name @ A @ B )
= ( produc1570949143e_name @ A2 @ B2 ) )
= ( ( A = A2 )
& ( B = B2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_42_old_Oprod_Oinject) ).
thf(325,axiom,
! [X1: name,X2: name,Y1: name,Y2: name] :
( ( ( produc1570949143e_name @ X1 @ X2 )
= ( produc1570949143e_name @ Y1 @ Y2 ) )
= ( ( X1 = Y1 )
& ( X2 = Y2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_39_prod_Oinject) ).
thf(326,axiom,
! [X21: produc367475239e_name,X22: list_P227219501e_name,Y21: produc367475239e_name,Y22: list_P227219501e_name] :
( ( ( cons_P1213805021e_name @ X21 @ X22 )
= ( cons_P1213805021e_name @ Y21 @ Y22 ) )
= ( ( X21 = Y21 )
& ( X22 = Y22 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_38_list_Oinject) ).
thf(327,axiom,
fresh_name_pi @ y @ p2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_37__092_060open_062y_A_092_060sharp_062_AP_H_092_060close_062) ).
thf(328,axiom,
! [X2: name,Y2: name] :
( ( ( late_BoundOutputS @ X2 )
= ( late_BoundOutputS @ Y2 ) )
= ( X2 = Y2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_36_Late__Semantics1_Osubject_Oinject_I2_J) ).
thf(329,axiom,
! [X1: name,Y1: name] :
( ( ( late_BoundOutputS @ X1 )
= ( late_BoundOutputS @ Y1 ) )
= ( X1 = Y1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_35_Late__Semantics_Osubject_Oinject_I2_J) ).
thf(330,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/sandbox2/benchmark/theBenchmark.p',fact_34_perm__swap_I2_J) ).
thf(331,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/sandbox2/benchmark/theBenchmark.p',fact_33_perm__swap_I2_J) ).
thf(332,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/sandbox2/benchmark/theBenchmark.p',fact_32_perm__swap_I2_J) ).
thf(333,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/sandbox2/benchmark/theBenchmark.p',fact_31_perm__swap_I2_J) ).
thf(334,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/sandbox2/benchmark/theBenchmark.p',fact_30_perm__swap_I2_J) ).
thf(335,axiom,
! [X: pi] :
( ( perm_name_pi @ nil_Pr743626285e_name @ X )
= X ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_29_pt__name1) ).
thf(336,axiom,
! [X: name] :
( ( perm_name_name @ nil_Pr743626285e_name @ X )
= X ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_28_pt__name1) ).
thf(337,axiom,
! [X: pi_Rep] :
( ( perm_name_pi_Rep @ nil_Pr743626285e_name @ X )
= X ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_27_pt__name1) ).
thf(338,axiom,
! [X: late_freeRes] :
( ( perm_n336613537reeRes @ nil_Pr743626285e_name @ X )
= X ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_26_pt__name1) ).
thf(339,axiom,
! [X: late_subject] :
( ( perm_n1559866809ubject @ nil_Pr743626285e_name @ X )
= X ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_25_pt__name1) ).
thf(340,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/sandbox2/benchmark/theBenchmark.p',fact_24_name__swap__bij) ).
thf(341,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/sandbox2/benchmark/theBenchmark.p',fact_23_name__swap__bij) ).
thf(342,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/sandbox2/benchmark/theBenchmark.p',fact_22_name__swap__bij) ).
thf(343,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/sandbox2/benchmark/theBenchmark.p',fact_21_name__swap__bij) ).
thf(344,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/sandbox2/benchmark/theBenchmark.p',fact_20_name__swap__bij) ).
thf(345,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/sandbox2/benchmark/theBenchmark.p',fact_19_name__swap) ).
thf(346,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/sandbox2/benchmark/theBenchmark.p',fact_18_name__swap) ).
thf(347,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/sandbox2/benchmark/theBenchmark.p',fact_17_name__swap) ).
thf(348,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/sandbox2/benchmark/theBenchmark.p',fact_16_name__swap) ).
thf(349,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/sandbox2/benchmark/theBenchmark.p',fact_15_name__swap) ).
thf(350,axiom,
! [A: name,X: pi] :
( ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ A ) @ nil_Pr743626285e_name ) @ X )
= X ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_14_name__id) ).
thf(351,axiom,
! [A: name,X: name] :
( ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ A ) @ nil_Pr743626285e_name ) @ X )
= X ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_13_name__id) ).
thf(352,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/sandbox2/benchmark/theBenchmark.p',fact_12_name__id) ).
thf(353,axiom,
! [A: name,X: late_freeRes] :
( ( perm_n336613537reeRes @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ A ) @ nil_Pr743626285e_name ) @ X )
= X ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_11_name__id) ).
thf(354,axiom,
! [A: name,X: late_subject] :
( ( perm_n1559866809ubject @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ A ) @ nil_Pr743626285e_name ) @ X )
= X ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_10_name__id) ).
thf(355,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/sandbox2/benchmark/theBenchmark.p',fact_9_perm__swap_I1_J) ).
thf(356,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/sandbox2/benchmark/theBenchmark.p',fact_8_perm__swap_I1_J) ).
thf(357,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/sandbox2/benchmark/theBenchmark.p',fact_7_perm__swap_I1_J) ).
thf(358,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/sandbox2/benchmark/theBenchmark.p',fact_6_perm__swap_I1_J) ).
thf(359,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/sandbox2/benchmark/theBenchmark.p',fact_5_perm__swap_I1_J) ).
thf(360,axiom,
eqvt_pi @ rel,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4_Eqvt) ).
thf(361,axiom,
y != x,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3__092_060open_062y_A_092_060noteq_062_Ax_092_060close_062) ).
thf(362,axiom,
( a
= ( late_BoundOutputS @ aa ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2_cOpen_Ohyps_I3_J) ).
thf(363,axiom,
aa != x,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1_cOpen_Ohyps_I2_J) ).
thf(364,axiom,
ord_le630093991_pi_pi @ id_pi @ rel,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0_Id) ).
thf(365,conjecture,
strong2129052853vative @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ y @ x ) @ nil_Pr743626285e_name ) @ p2 ) @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ y @ x ) @ nil_Pr743626285e_name ) @ p2 ) @ ( late_BoundOutputS @ aa ) @ y @ rel,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
thf(366,negated_conjecture,
( ( strong2129052853vative @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ y @ x ) @ nil_Pr743626285e_name ) @ p2 ) @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ y @ x ) @ nil_Pr743626285e_name ) @ p2 ) @ ( late_BoundOutputS @ aa ) @ y @ rel )
= $false ),
inference(negate_conjecture,[status(cth)],[365]) ).
thf(367,plain,
( ( strong2129052853vative @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ y @ x ) @ nil_Pr743626285e_name ) @ p2 ) @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ y @ x ) @ nil_Pr743626285e_name ) @ p2 ) @ ( late_BoundOutputS @ aa ) @ y @ rel )
= $false ),
inference(unfold_def,[status(thm)],[366]) ).
thf(368,plain,
( ( ! [P2: $o] :
( ( P2 = $true )
| ( P2 = $false ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(369,plain,
( ( ! [Name2: name,Name: name] :
( ( late_InputS @ Name2 )
!= ( late_BoundOutputS @ Name ) ) )
= $true ),
inference(unfold_def,[status(thm)],[12]) ).
thf(370,plain,
( ( ! [A: name,B: name,Pi: list_P227219501e_name,X: name] :
( ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ Pi ) @ X )
= ( swap_name @ ( produc1570949143e_name @ A @ B ) @ ( perm_name_name @ Pi @ X ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[16]) ).
thf(371,plain,
( ( ! [A: name,X: name,P2: pi,B: name,Y4: name,P4: pi] :
~ ( late_transitions @ ( input @ A @ X @ P2 ) @ ( late_BoundR @ ( late_BoundOutputS @ B ) @ Y4 @ P4 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[20]) ).
thf(372,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)],[26]) ).
thf(373,plain,
( ( ! [C2: name,P2: pi,A: name,X: name] :
( ( fresh_name_pi @ C2 @ P2 )
=> ( ( input @ A @ X @ P2 )
= ( input @ A @ C2 @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ X @ C2 ) @ nil_Pr743626285e_name ) @ P2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[27]) ).
thf(374,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)],[45]) ).
thf(375,plain,
( ( ! [X6: name,P2: pi,A: late_subject,X: name] :
( ( fresh_name_pi @ X6 @ P2 )
=> ( ( late_BoundR @ A @ X @ P2 )
= ( late_BoundR @ A @ X6 @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ X @ X6 ) @ nil_Pr743626285e_name ) @ P2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[52]) ).
thf(376,plain,
( ( ! [P2: pi,Rel: set_Pr1834926343_pi_pi,Q: pi,Rel3: set_Pr1834926343_pi_pi,Perm: list_P227219501e_name] :
( ( strong743114133lation @ P2 @ Rel @ Q )
=> ( ( ord_le630093991_pi_pi @ Rel @ Rel3 )
=> ( ( eqvt_pi @ Rel3 )
=> ( strong743114133lation @ ( perm_name_pi @ Perm @ P2 ) @ Rel3 @ ( perm_name_pi @ Perm @ Q ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[53]) ).
thf(377,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)],[62]) ).
thf(378,plain,
( ( ! [C2: name,P2: pi,A: name] :
( ( fresh_name_pi @ C2 @ P2 )
=> ( ( res @ A @ P2 )
= ( res @ C2 @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ C2 ) @ nil_Pr743626285e_name ) @ P2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[78]) ).
thf(379,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)],[97]) ).
thf(380,plain,
( ( ! [Pi: list_P227219501e_name,X2: pi,X1: pi] :
( ( perm_name_pi @ Pi @ ( sum @ X2 @ X1 ) )
= ( sum @ ( perm_name_pi @ Pi @ X2 ) @ ( perm_name_pi @ Pi @ X1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[98]) ).
thf(381,plain,
( ( ! [Rel: set_Pr1834926343_pi_pi,Perm: list_P227219501e_name,P2: pi,Q: pi] :
( ( eqvt_pi @ Rel )
=> ( ( member558706512_pi_pi @ ( product_Pair_pi_pi @ ( perm_name_pi @ Perm @ P2 ) @ ( perm_name_pi @ Perm @ Q ) ) @ Rel )
=> ( member558706512_pi_pi @ ( product_Pair_pi_pi @ P2 @ Q ) @ Rel ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[106]) ).
thf(382,plain,
( ( ! [Rel: set_Pr443758855e_name,Perm: list_P227219501e_name,P2: name,Q: name] :
( ( eqvt_name @ Rel )
=> ( ( member695284560e_name @ ( produc1570949143e_name @ ( perm_name_name @ Perm @ P2 ) @ ( perm_name_name @ Perm @ Q ) ) @ Rel )
=> ( member695284560e_name @ ( produc1570949143e_name @ P2 @ Q ) @ Rel ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[107]) ).
thf(383,plain,
( ( ! [P2: pi,Q: pi,A: late_subject,X: name,A4: set_Pr1834926343_pi_pi,B4: set_Pr1834926343_pi_pi] :
( ( strong2129052853vative @ P2 @ Q @ A @ X @ A4 )
=> ( ( ord_le630093991_pi_pi @ A4 @ B4 )
=> ( strong2129052853vative @ P2 @ Q @ A @ X @ B4 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[111]) ).
thf(384,plain,
( ( ! [P3: produc367475239e_name] :
( ( member695284560e_name @ P3 @ id_name )
=> ~ ! [X4: name] :
( P3
!= ( produc1570949143e_name @ X4 @ X4 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[113]) ).
thf(385,plain,
( ( ! [R: set_Pr443758855e_name,S: set_Pr443758855e_name] :
( ! [X4: name,Y3: name] :
( ( member695284560e_name @ ( produc1570949143e_name @ X4 @ Y3 ) @ R )
=> ( member695284560e_name @ ( produc1570949143e_name @ X4 @ Y3 ) @ S ) )
=> ( ord_le793202855e_name @ R @ S ) ) )
= $true ),
inference(unfold_def,[status(thm)],[116]) ).
thf(386,plain,
( ( ! [A: name,X: name,Y4: name] :
( ( fresh_441084397e_name @ A @ ( produc1570949143e_name @ X @ Y4 ) )
=> ( fresh_name_name @ A @ Y4 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[124]) ).
thf(387,plain,
( ( ! [A: name,X: name,Y4: name] :
( ( fresh_441084397e_name @ A @ ( produc1570949143e_name @ X @ Y4 ) )
=> ( fresh_name_name @ A @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[127]) ).
thf(388,plain,
( ( ! [Pi: list_P227219501e_name,X: pi,Xs2: list_pi] :
( ( perm_name_list_pi @ Pi @ ( cons_pi @ X @ Xs2 ) )
= ( cons_pi @ ( perm_name_pi @ Pi @ X ) @ ( perm_name_list_pi @ Pi @ Xs2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[128]) ).
thf(389,plain,
( ( ! [Pi: list_P227219501e_name,X: late_freeRes,Y4: pi] :
( ( perm_n1211707594Res_pi @ Pi @ ( produc1177552196Res_pi @ X @ Y4 ) )
= ( produc1177552196Res_pi @ ( perm_n336613537reeRes @ Pi @ X ) @ ( perm_name_pi @ Pi @ Y4 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[133]) ).
thf(390,plain,
( ( ! [Pi: list_P227219501e_name,X: late_subject,Y4: pi] :
( ( perm_n359102898ect_pi @ Pi @ ( produc324947500ect_pi @ X @ Y4 ) )
= ( produc324947500ect_pi @ ( perm_n1559866809ubject @ Pi @ X ) @ ( perm_name_pi @ Pi @ Y4 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[138]) ).
thf(391,plain,
( ( ! [C2: $o,Pi: list_P227219501e_name,X: pi,Y4: pi] :
( ( C2
=> ( ( perm_name_pi @ Pi @ ( if_pi @ C2 @ X @ Y4 ) )
= ( perm_name_pi @ Pi @ X ) ) )
& ( ~ C2
=> ( ( perm_name_pi @ Pi @ ( if_pi @ C2 @ X @ Y4 ) )
= ( perm_name_pi @ Pi @ Y4 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[144]) ).
thf(392,plain,
( ( ! [X: pi,Y4: pi,Pi: list_P227219501e_name] :
( ( X = Y4 )
=> ( ( perm_name_pi @ Pi @ X )
= ( perm_name_pi @ Pi @ Y4 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[149]) ).
thf(393,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)],[154]) ).
thf(394,plain,
( ( ! [P2: list_P227219501e_name > $o] :
( ! [X_1: list_P227219501e_name] : ( P2 @ X_1 )
=> ( P2 @ nil_Pr743626285e_name ) ) )
= $true ),
inference(unfold_def,[status(thm)],[159]) ).
thf(395,plain,
( ( ! [A: name,X1: name] :
( ( fresh_717452603ubject @ A @ ( late_BoundOutputS @ X1 ) )
= ( fresh_name_name @ A @ X1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[161]) ).
thf(396,plain,
( ( ! [Rel: set_Pr1834926343_pi_pi,P2: pi,Q: pi,Perm: list_P227219501e_name] :
( ( eqvt_pi @ Rel )
=> ( ( member558706512_pi_pi @ ( product_Pair_pi_pi @ P2 @ Q ) @ Rel )
=> ( member558706512_pi_pi @ ( product_Pair_pi_pi @ ( perm_name_pi @ Perm @ P2 ) @ ( perm_name_pi @ Perm @ Q ) ) @ Rel ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[163]) ).
thf(397,plain,
( ( ! [Rel: set_Pr443758855e_name,P2: name,Q: name,Perm: list_P227219501e_name] :
( ( eqvt_name @ Rel )
=> ( ( member695284560e_name @ ( produc1570949143e_name @ P2 @ Q ) @ Rel )
=> ( member695284560e_name @ ( produc1570949143e_name @ ( perm_name_name @ Perm @ P2 ) @ ( perm_name_name @ Perm @ Q ) ) @ Rel ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[164]) ).
thf(398,plain,
( ( ! [P2: pi,Q: pi,A: late_subject,X: name,Rel: set_Pr1834926343_pi_pi,Perm: list_P227219501e_name] :
( ( strong2129052853vative @ P2 @ Q @ A @ X @ Rel )
=> ( ( eqvt_pi @ Rel )
=> ( strong2129052853vative @ ( perm_name_pi @ Perm @ P2 ) @ ( perm_name_pi @ Perm @ Q ) @ A @ ( perm_name_name @ Perm @ X ) @ Rel ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[168]) ).
thf(399,plain,
( ( ! [P2: pi,Q: pi,A: late_subject,X: name,Rel: set_Pr1834926343_pi_pi,Perm: list_P227219501e_name] :
( ( strong2129052853vative @ P2 @ Q @ A @ X @ Rel )
=> ( ( eqvt_pi @ Rel )
=> ( strong2129052853vative @ ( perm_name_pi @ Perm @ P2 ) @ ( perm_name_pi @ Perm @ Q ) @ ( perm_n1559866809ubject @ Perm @ A ) @ ( perm_name_name @ Perm @ X ) @ Rel ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[169]) ).
thf(400,plain,
( ( ! [Rel: set_Pr1834926343_pi_pi,P2: pi,A: late_subject,X: name] :
( ( ord_le630093991_pi_pi @ id_pi @ Rel )
=> ( strong2129052853vative @ P2 @ P2 @ A @ X @ Rel ) ) )
= $true ),
inference(unfold_def,[status(thm)],[170]) ).
thf(401,plain,
( ( fresh_name_pi @ y @ p )
= $true ),
inference(unfold_def,[status(thm)],[171]) ).
thf(402,plain,
( ( ! [A: name] : ( member695284560e_name @ ( produc1570949143e_name @ A @ A ) @ id_name ) )
= $true ),
inference(unfold_def,[status(thm)],[183]) ).
thf(403,plain,
( ( ! [A: name,B: name] :
( ( member695284560e_name @ ( produc1570949143e_name @ A @ B ) @ id_name )
= ( A = B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[185]) ).
thf(404,plain,
( ( fresh_name_pi @ y @ q )
= $true ),
inference(unfold_def,[status(thm)],[186]) ).
thf(405,plain,
( ( ! [X21: produc367475239e_name,X22: list_P227219501e_name] :
( nil_Pr743626285e_name
!= ( cons_P1213805021e_name @ X21 @ X22 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[187]) ).
thf(406,plain,
( ( ! [List: list_P227219501e_name,X21: produc367475239e_name,X22: list_P227219501e_name] :
( ( List
= ( cons_P1213805021e_name @ X21 @ X22 ) )
=> ( List != nil_Pr743626285e_name ) ) )
= $true ),
inference(unfold_def,[status(thm)],[188]) ).
thf(407,plain,
( ( ! [Y4: list_P227219501e_name] :
( ( Y4 != nil_Pr743626285e_name )
=> ~ ! [X212: produc367475239e_name,X222: list_P227219501e_name] :
( Y4
!= ( cons_P1213805021e_name @ X212 @ X222 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[189]) ).
thf(408,plain,
( ( ! [P2: list_P227219501e_name > $o,List: list_P227219501e_name] :
( ( P2 @ nil_Pr743626285e_name )
=> ( ! [X12: produc367475239e_name,X23: list_P227219501e_name] :
( ( P2 @ X23 )
=> ( P2 @ ( cons_P1213805021e_name @ X12 @ X23 ) ) )
=> ( P2 @ List ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[190]) ).
thf(409,plain,
( ( ! [Xs2: list_P227219501e_name] :
( ( Xs2 != nil_Pr743626285e_name )
= ( ? [Y5: produc367475239e_name,Ys3: list_P227219501e_name] :
( Xs2
= ( cons_P1213805021e_name @ Y5 @ Ys3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[191]) ).
thf(410,plain,
( ( ! [P2: list_P227219501e_name > list_P227219501e_name > $o,Xs2: list_P227219501e_name,Ys2: list_P227219501e_name] :
( ( P2 @ nil_Pr743626285e_name @ nil_Pr743626285e_name )
=> ( ! [X4: produc367475239e_name,Xs: list_P227219501e_name] : ( P2 @ ( cons_P1213805021e_name @ X4 @ Xs ) @ nil_Pr743626285e_name )
=> ( ! [Y3: produc367475239e_name,Ys: list_P227219501e_name] : ( P2 @ nil_Pr743626285e_name @ ( cons_P1213805021e_name @ Y3 @ Ys ) )
=> ( ! [X4: produc367475239e_name,Xs: list_P227219501e_name,Y3: produc367475239e_name,Ys: list_P227219501e_name] :
( ( P2 @ Xs @ Ys )
=> ( P2 @ ( cons_P1213805021e_name @ X4 @ Xs ) @ ( cons_P1213805021e_name @ Y3 @ Ys ) ) )
=> ( P2 @ Xs2 @ Ys2 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[192]) ).
thf(411,plain,
( ( ! [P2: list_P227219501e_name > list_P227219501e_name > $o,A0: list_P227219501e_name,A1: list_P227219501e_name] :
( ! [X_1: list_P227219501e_name] : ( P2 @ nil_Pr743626285e_name @ X_1 )
=> ( ! [X4: produc367475239e_name,Xs: list_P227219501e_name,Ys: list_P227219501e_name] :
( ( P2 @ Ys @ Xs )
=> ( P2 @ ( cons_P1213805021e_name @ X4 @ Xs ) @ Ys ) )
=> ( P2 @ A0 @ A1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[193]) ).
thf(412,plain,
( ( ! [P2: list_P227219501e_name > $o,Xs2: list_P227219501e_name] :
( ( P2 @ nil_Pr743626285e_name )
=> ( ! [X4: produc367475239e_name] : ( P2 @ ( cons_P1213805021e_name @ X4 @ nil_Pr743626285e_name ) )
=> ( ! [X4: produc367475239e_name,Y3: produc367475239e_name,Zs: list_P227219501e_name] :
( ( P2 @ Zs )
=> ( ( P2 @ ( cons_P1213805021e_name @ Y3 @ Zs ) )
=> ( P2 @ ( cons_P1213805021e_name @ X4 @ ( cons_P1213805021e_name @ Y3 @ Zs ) ) ) ) )
=> ( P2 @ Xs2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[194]) ).
thf(413,plain,
( ( ! [P2: list_P227219501e_name > list_P227219501e_name > $o,A0: list_P227219501e_name,A1: list_P227219501e_name] :
( ! [X_1: list_P227219501e_name] : ( P2 @ nil_Pr743626285e_name @ X_1 )
=> ( ! [Xs: list_P227219501e_name] : ( P2 @ Xs @ nil_Pr743626285e_name )
=> ( ! [X4: produc367475239e_name,Xs: list_P227219501e_name,Y3: produc367475239e_name,Ys: list_P227219501e_name] :
( ( P2 @ Xs @ ( cons_P1213805021e_name @ Y3 @ Ys ) )
=> ( ( P2 @ ( cons_P1213805021e_name @ X4 @ Xs ) @ Ys )
=> ( P2 @ ( cons_P1213805021e_name @ X4 @ Xs ) @ ( cons_P1213805021e_name @ Y3 @ Ys ) ) ) )
=> ( P2 @ A0 @ A1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[195]) ).
thf(414,plain,
( ( ! [X: list_l1406151091e_name] :
( ( X != nil_li29751603e_name )
=> ( ! [Xss: list_l1406151091e_name] :
( X
!= ( cons_l798145763e_name @ nil_Pr743626285e_name @ Xss ) )
=> ~ ! [X4: produc367475239e_name,Xs: list_P227219501e_name,Xss: list_l1406151091e_name] :
( X
!= ( cons_l798145763e_name @ ( cons_P1213805021e_name @ X4 @ Xs ) @ Xss ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[196]) ).
thf(415,plain,
( ( ! [X: list_P227219501e_name] :
( ( X != nil_Pr743626285e_name )
=> ( ! [X4: produc367475239e_name] :
( X
!= ( cons_P1213805021e_name @ X4 @ nil_Pr743626285e_name ) )
=> ~ ! [X4: produc367475239e_name,Y3: produc367475239e_name,Xs: list_P227219501e_name] :
( X
!= ( cons_P1213805021e_name @ X4 @ ( cons_P1213805021e_name @ Y3 @ Xs ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[197]) ).
thf(416,plain,
( ( ! [P2: ( produc367475239e_name > produc367475239e_name > $o ) > list_P227219501e_name > $o,A0: produc367475239e_name > produc367475239e_name > $o,A1: list_P227219501e_name] :
( ! [P: produc367475239e_name > produc367475239e_name > $o] : ( P2 @ P @ nil_Pr743626285e_name )
=> ( ! [P: produc367475239e_name > produc367475239e_name > $o,X4: produc367475239e_name,Ys: list_P227219501e_name] :
( ( P2 @ P @ Ys )
=> ( P2 @ P @ ( cons_P1213805021e_name @ X4 @ Ys ) ) )
=> ( P2 @ A0 @ A1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[198]) ).
thf(417,plain,
( ( ! [P2: list_P227219501e_name > $o,A0: list_P227219501e_name] :
( ( P2 @ nil_Pr743626285e_name )
=> ( ! [X4: produc367475239e_name] : ( P2 @ ( cons_P1213805021e_name @ X4 @ nil_Pr743626285e_name ) )
=> ( ! [X4: produc367475239e_name,Y3: produc367475239e_name,Xs: list_P227219501e_name] :
( ( ( X4 = Y3 )
=> ( P2 @ ( cons_P1213805021e_name @ X4 @ Xs ) ) )
=> ( ( ( X4 != Y3 )
=> ( P2 @ ( cons_P1213805021e_name @ Y3 @ Xs ) ) )
=> ( P2 @ ( cons_P1213805021e_name @ X4 @ ( cons_P1213805021e_name @ Y3 @ Xs ) ) ) ) )
=> ( P2 @ A0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[199]) ).
thf(418,plain,
( ( ! [P2: ( produc367475239e_name > produc367475239e_name > $o ) > list_P227219501e_name > $o,A0: produc367475239e_name > produc367475239e_name > $o,A1: list_P227219501e_name] :
( ! [P: produc367475239e_name > produc367475239e_name > $o] : ( P2 @ P @ nil_Pr743626285e_name )
=> ( ! [P: produc367475239e_name > produc367475239e_name > $o,X4: produc367475239e_name] : ( P2 @ P @ ( cons_P1213805021e_name @ X4 @ nil_Pr743626285e_name ) )
=> ( ! [P: produc367475239e_name > produc367475239e_name > $o,X4: produc367475239e_name,Y3: produc367475239e_name,Xs: list_P227219501e_name] :
( ( P2 @ P @ ( cons_P1213805021e_name @ Y3 @ Xs ) )
=> ( P2 @ P @ ( cons_P1213805021e_name @ X4 @ ( cons_P1213805021e_name @ Y3 @ Xs ) ) ) )
=> ( P2 @ A0 @ A1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[200]) ).
thf(419,plain,
( ( ! [Xs2: list_P227219501e_name,P2: list_P227219501e_name > $o] :
( ( Xs2 != nil_Pr743626285e_name )
=> ( ! [X4: produc367475239e_name] : ( P2 @ ( cons_P1213805021e_name @ X4 @ nil_Pr743626285e_name ) )
=> ( ! [X4: produc367475239e_name,Xs: list_P227219501e_name] :
( ( Xs != nil_Pr743626285e_name )
=> ( ( P2 @ Xs )
=> ( P2 @ ( cons_P1213805021e_name @ X4 @ Xs ) ) ) )
=> ( P2 @ Xs2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[201]) ).
thf(420,plain,
( ( ! [P2: ( produc367475239e_name > produc367475239e_name ) > list_P227219501e_name > list_P227219501e_name > $o,A0: produc367475239e_name > produc367475239e_name,A1: list_P227219501e_name,A22: list_P227219501e_name] :
( ! [F2: produc367475239e_name > produc367475239e_name,X_1: list_P227219501e_name] : ( P2 @ F2 @ nil_Pr743626285e_name @ X_1 )
=> ( ! [F2: produc367475239e_name > produc367475239e_name,A3: produc367475239e_name,As: list_P227219501e_name,Bs: list_P227219501e_name] :
( ( P2 @ F2 @ As @ ( cons_P1213805021e_name @ ( F2 @ A3 ) @ Bs ) )
=> ( P2 @ F2 @ ( cons_P1213805021e_name @ A3 @ As ) @ Bs ) )
=> ( P2 @ A0 @ A1 @ A22 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[202]) ).
thf(421,plain,
( ( ! [Pi: list_P227219501e_name,X: pi,Y4: pi] :
( ( perm_name_o @ Pi @ ( X = Y4 ) )
= ( ( perm_name_pi @ Pi @ X )
= ( perm_name_pi @ Pi @ Y4 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[203]) ).
thf(422,plain,
( ( ! [Pi: list_P227219501e_name,X: pi,X3: set_pi] :
( ( perm_name_o @ Pi @ ( member_pi @ X @ X3 ) )
= ( member_pi @ ( perm_name_pi @ Pi @ X ) @ ( perm_name_set_pi @ Pi @ X3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[208]) ).
thf(423,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)],[214]) ).
thf(424,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)],[219]) ).
thf(425,plain,
( ( ! [Pi: list_P227219501e_name,X: pi,Y4: pi] :
( ( ( perm_name_pi @ Pi @ X )
= ( perm_name_pi @ Pi @ Y4 ) )
= ( X = Y4 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[224]) ).
thf(426,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)],[229]) ).
thf(427,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)],[234]) ).
thf(428,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)],[239]) ).
thf(429,plain,
( ( ! [X: produc367475239e_name,Xs2: list_P227219501e_name] :
( ( cons_P1213805021e_name @ X @ Xs2 )
!= Xs2 ) )
= $true ),
inference(unfold_def,[status(thm)],[244]) ).
thf(430,plain,
( ( ! [P3: produc367475239e_name] :
? [X4: name,Y3: name] :
( P3
= ( produc1570949143e_name @ X4 @ Y3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[247]) ).
thf(431,plain,
( ( ! [P2: produc367475239e_name > $o,P3: produc367475239e_name] :
( ! [A3: name,B3: name] : ( P2 @ ( produc1570949143e_name @ A3 @ B3 ) )
=> ( P2 @ P3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[250]) ).
thf(432,plain,
( ( ! [A: name,B: name,A2: name,B2: name] :
( ( ( produc1570949143e_name @ A @ B )
= ( produc1570949143e_name @ A2 @ B2 ) )
=> ~ ( ( A = A2 )
=> ( B != B2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[253]) ).
thf(433,plain,
( ( ! [Y4: produc367475239e_name] :
~ ! [A3: name,B3: name] :
( Y4
!= ( produc1570949143e_name @ A3 @ B3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[260]) ).
thf(434,plain,
( ( ! [P2: produc367475239e_name > $o,Prod: produc367475239e_name] :
( ! [A3: name,B3: name] : ( P2 @ ( produc1570949143e_name @ A3 @ B3 ) )
=> ( P2 @ Prod ) ) )
= $true ),
inference(unfold_def,[status(thm)],[263]) ).
thf(435,plain,
( ( ! [C2: name,A: name,X: pi,B: name] :
( ( C2 != A )
=> ( ( fresh_name_pi @ A @ X )
=> ( ( fresh_name_pi @ C2 @ X )
=> ( fresh_name_pi @ C2 @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ X ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[264]) ).
thf(436,plain,
( ( ! [C2: name,A: name,X: name,B: name] :
( ( C2 != A )
=> ( ( fresh_name_name @ A @ X )
=> ( ( fresh_name_name @ C2 @ X )
=> ( fresh_name_name @ C2 @ ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ X ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[265]) ).
thf(437,plain,
( ( ! [C2: name,A: name,X: produc1141751126_pi_pi,B: name] :
( ( C2 != A )
=> ( ( fresh_1376661020_pi_pi @ A @ X )
=> ( ( fresh_1376661020_pi_pi @ C2 @ X )
=> ( fresh_1376661020_pi_pi @ C2 @ ( perm_n1255502110_pi_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ X ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[266]) ).
thf(438,plain,
( ( ! [C2: name,A: name,X: late_freeRes,B: name] :
( ( C2 != A )
=> ( ( fresh_1641682979reeRes @ A @ X )
=> ( ( fresh_1641682979reeRes @ C2 @ X )
=> ( fresh_1641682979reeRes @ C2 @ ( perm_n336613537reeRes @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ X ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[267]) ).
thf(439,plain,
( ( ! [C2: name,A: name,X: late_subject,B: name] :
( ( C2 != A )
=> ( ( fresh_717452603ubject @ A @ X )
=> ( ( fresh_717452603ubject @ C2 @ X )
=> ( fresh_717452603ubject @ C2 @ ( perm_n1559866809ubject @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ X ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[268]) ).
thf(440,plain,
( ( ! [C2: name,A: name,X: pi_Rep,B: name] :
( ( C2 != A )
=> ( ( fresh_name_pi_Rep @ A @ X )
=> ( ( fresh_name_pi_Rep @ C2 @ X )
=> ( fresh_name_pi_Rep @ C2 @ ( perm_name_pi_Rep @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ X ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[269]) ).
thf(441,plain,
( ( ! [A: name,C2: name,B: name] :
( ( A != C2 )
=> ( ( B != C2 )
=> ( ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ C2 )
= C2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[270]) ).
thf(442,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)],[271]) ).
thf(443,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)],[272]) ).
thf(444,plain,
( ( ! [X: produc890461031e_name] :
( ! [Ys: list_P227219501e_name] :
( X
!= ( produc208131031e_name @ nil_Pr743626285e_name @ Ys ) )
=> ~ ! [X4: produc367475239e_name,Xs: list_P227219501e_name,Ys: list_P227219501e_name] :
( X
!= ( produc208131031e_name @ ( cons_P1213805021e_name @ X4 @ Xs ) @ Ys ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[273]) ).
thf(445,plain,
( ( ! [X: produc890461031e_name] :
( ! [Ys: list_P227219501e_name] :
( X
!= ( produc208131031e_name @ nil_Pr743626285e_name @ Ys ) )
=> ( ! [Xs: list_P227219501e_name] :
( X
!= ( produc208131031e_name @ Xs @ nil_Pr743626285e_name ) )
=> ~ ! [X4: produc367475239e_name,Xs: list_P227219501e_name,Y3: produc367475239e_name,Ys: list_P227219501e_name] :
( X
!= ( produc208131031e_name @ ( cons_P1213805021e_name @ X4 @ Xs ) @ ( cons_P1213805021e_name @ Y3 @ Ys ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[274]) ).
thf(446,plain,
( ( ! [X: produc1872410278e_name] :
( ! [P: produc367475239e_name > produc367475239e_name > $o] :
( X
!= ( produc1069608854e_name @ P @ nil_Pr743626285e_name ) )
=> ~ ! [P: produc367475239e_name > produc367475239e_name > $o,X4: produc367475239e_name,Ys: list_P227219501e_name] :
( X
!= ( produc1069608854e_name @ P @ ( cons_P1213805021e_name @ X4 @ Ys ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[275]) ).
thf(447,plain,
( ( ! [X: produc1872410278e_name] :
( ! [P: produc367475239e_name > produc367475239e_name > $o] :
( X
!= ( produc1069608854e_name @ P @ nil_Pr743626285e_name ) )
=> ( ! [P: produc367475239e_name > produc367475239e_name > $o,X4: produc367475239e_name] :
( X
!= ( produc1069608854e_name @ P @ ( cons_P1213805021e_name @ X4 @ nil_Pr743626285e_name ) ) )
=> ~ ! [P: produc367475239e_name > produc367475239e_name > $o,X4: produc367475239e_name,Y3: produc367475239e_name,Xs: list_P227219501e_name] :
( X
!= ( produc1069608854e_name @ P @ ( cons_P1213805021e_name @ X4 @ ( cons_P1213805021e_name @ Y3 @ Xs ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[276]) ).
thf(448,plain,
( ( ! [X: name] :
( ( perm_name_name @ nil_Pr743626285e_name @ X )
= X ) )
= $true ),
inference(unfold_def,[status(thm)],[277]) ).
thf(449,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)],[278]) ).
thf(450,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)],[284]) ).
thf(451,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)],[295]) ).
thf(452,plain,
( ( fresh_717452603ubject @ y @ a )
= $true ),
inference(unfold_def,[status(thm)],[302]) ).
thf(453,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)],[303]) ).
thf(454,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)],[304]) ).
thf(455,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)],[305]) ).
thf(456,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)],[306]) ).
thf(457,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)],[307]) ).
thf(458,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)],[308]) ).
thf(459,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)],[309]) ).
thf(460,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)],[310]) ).
thf(461,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)],[311]) ).
thf(462,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)],[312]) ).
thf(463,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)],[313]) ).
thf(464,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)],[314]) ).
thf(465,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)],[315]) ).
thf(466,plain,
( ( ! [Pi_Rep: pi_Rep] :
( ( perm_name_pi_Rep @ nil_Pr743626285e_name @ Pi_Rep )
= Pi_Rep ) )
= $true ),
inference(unfold_def,[status(thm)],[316]) ).
thf(467,plain,
( ( ! [FreeRes_Rep: late_freeRes_Rep] :
( ( perm_n1938283068es_Rep @ nil_Pr743626285e_name @ FreeRes_Rep )
= FreeRes_Rep ) )
= $true ),
inference(unfold_def,[status(thm)],[317]) ).
thf(468,plain,
( ( ! [Subject_Rep: late_subject_Rep] :
( ( perm_n697952036ct_Rep @ nil_Pr743626285e_name @ Subject_Rep )
= Subject_Rep ) )
= $true ),
inference(unfold_def,[status(thm)],[318]) ).
thf(469,plain,
( ( ! [Residual_Rep: late_residual_Rep] :
( ( perm_n890803237al_Rep @ nil_Pr743626285e_name @ Residual_Rep )
= Residual_Rep ) )
= $true ),
inference(unfold_def,[status(thm)],[319]) ).
thf(470,plain,
( ( ! [A: name,B: name,A2: name,B2: name] :
( ( ( produc1570949143e_name @ A @ B )
= ( produc1570949143e_name @ A2 @ B2 ) )
= ( ( A = A2 )
& ( B = B2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[322]) ).
thf(471,plain,
( ( ! [X1: name,X2: name,Y1: name,Y2: name] :
( ( ( produc1570949143e_name @ X1 @ X2 )
= ( produc1570949143e_name @ Y1 @ Y2 ) )
= ( ( X1 = Y1 )
& ( X2 = Y2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[325]) ).
thf(472,plain,
( ( ! [X21: produc367475239e_name,X22: list_P227219501e_name,Y21: produc367475239e_name,Y22: list_P227219501e_name] :
( ( ( cons_P1213805021e_name @ X21 @ X22 )
= ( cons_P1213805021e_name @ Y21 @ Y22 ) )
= ( ( X21 = Y21 )
& ( X22 = Y22 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[326]) ).
thf(473,plain,
( ( fresh_name_pi @ y @ p2 )
= $true ),
inference(unfold_def,[status(thm)],[327]) ).
thf(474,plain,
( ( ! [X2: name,Y2: name] :
( ( ( late_BoundOutputS @ X2 )
= ( late_BoundOutputS @ Y2 ) )
= ( X2 = Y2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[328]) ).
thf(475,plain,
( ( ! [X1: name,Y1: name] :
( ( ( late_BoundOutputS @ X1 )
= ( late_BoundOutputS @ Y1 ) )
= ( X1 = Y1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[329]) ).
thf(476,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)],[330]) ).
thf(477,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)],[331]) ).
thf(478,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)],[332]) ).
thf(479,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)],[333]) ).
thf(480,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)],[334]) ).
thf(481,plain,
( ( ! [X: pi] :
( ( perm_name_pi @ nil_Pr743626285e_name @ X )
= X ) )
= $true ),
inference(unfold_def,[status(thm)],[335]) ).
thf(482,plain,
( ( ! [X: name] :
( ( perm_name_name @ nil_Pr743626285e_name @ X )
= X ) )
= $true ),
inference(unfold_def,[status(thm)],[336]) ).
thf(483,plain,
( ( ! [X: pi_Rep] :
( ( perm_name_pi_Rep @ nil_Pr743626285e_name @ X )
= X ) )
= $true ),
inference(unfold_def,[status(thm)],[337]) ).
thf(484,plain,
( ( ! [X: late_freeRes] :
( ( perm_n336613537reeRes @ nil_Pr743626285e_name @ X )
= X ) )
= $true ),
inference(unfold_def,[status(thm)],[338]) ).
thf(485,plain,
( ( ! [X: late_subject] :
( ( perm_n1559866809ubject @ nil_Pr743626285e_name @ X )
= X ) )
= $true ),
inference(unfold_def,[status(thm)],[339]) ).
thf(486,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)],[340]) ).
thf(487,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)],[341]) ).
thf(488,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)],[342]) ).
thf(489,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)],[343]) ).
thf(490,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)],[344]) ).
thf(491,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)],[345]) ).
thf(492,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)],[346]) ).
thf(493,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)],[347]) ).
thf(494,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)],[348]) ).
thf(495,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)],[349]) ).
thf(496,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)],[350]) ).
thf(497,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)],[351]) ).
thf(498,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)],[352]) ).
thf(499,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)],[353]) ).
thf(500,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)],[354]) ).
thf(501,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)],[355]) ).
thf(502,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)],[356]) ).
thf(503,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)],[357]) ).
thf(504,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)],[358]) ).
thf(505,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)],[359]) ).
thf(506,plain,
( ( eqvt_pi @ rel )
= $true ),
inference(unfold_def,[status(thm)],[360]) ).
thf(507,plain,
( ( y != x )
= $true ),
inference(unfold_def,[status(thm)],[361]) ).
thf(508,plain,
( ( a
= ( late_BoundOutputS @ aa ) )
= $true ),
inference(unfold_def,[status(thm)],[362]) ).
thf(509,plain,
( ( aa != x )
= $true ),
inference(unfold_def,[status(thm)],[363]) ).
thf(510,plain,
( ( ord_le630093991_pi_pi @ id_pi @ rel )
= $true ),
inference(unfold_def,[status(thm)],[364]) ).
thf(511,plain,
( ( ~ ( strong2129052853vative @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ y @ x ) @ nil_Pr743626285e_name ) @ p2 ) @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ y @ x ) @ nil_Pr743626285e_name ) @ p2 ) @ ( late_BoundOutputS @ aa ) @ y @ rel ) )
= $true ),
inference(polarity_switch,[status(thm)],[367]) ).
thf(512,plain,
( ( ord_le630093991_pi_pi @ id_pi @ rel )
= $true ),
inference(copy,[status(thm)],[510]) ).
thf(513,plain,
( ( aa != x )
= $true ),
inference(copy,[status(thm)],[509]) ).
thf(514,plain,
( ( a
= ( late_BoundOutputS @ aa ) )
= $true ),
inference(copy,[status(thm)],[508]) ).
thf(515,plain,
( ( y != x )
= $true ),
inference(copy,[status(thm)],[507]) ).
thf(516,plain,
( ( eqvt_pi @ rel )
= $true ),
inference(copy,[status(thm)],[506]) ).
thf(517,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)],[505]) ).
thf(518,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)],[504]) ).
thf(519,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)],[503]) ).
thf(520,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)],[502]) ).
thf(521,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)],[501]) ).
thf(522,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)],[500]) ).
thf(523,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)],[499]) ).
thf(524,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)],[498]) ).
thf(525,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)],[497]) ).
thf(526,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)],[496]) ).
thf(527,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)],[495]) ).
thf(528,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)],[494]) ).
thf(529,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)],[493]) ).
thf(530,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)],[492]) ).
thf(531,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)],[491]) ).
thf(532,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)],[490]) ).
thf(533,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)],[489]) ).
thf(534,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)],[488]) ).
thf(535,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)],[487]) ).
thf(536,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)],[486]) ).
thf(537,plain,
( ( ! [X: late_subject] :
( ( perm_n1559866809ubject @ nil_Pr743626285e_name @ X )
= X ) )
= $true ),
inference(copy,[status(thm)],[485]) ).
thf(538,plain,
( ( ! [X: late_freeRes] :
( ( perm_n336613537reeRes @ nil_Pr743626285e_name @ X )
= X ) )
= $true ),
inference(copy,[status(thm)],[484]) ).
thf(539,plain,
( ( ! [X: pi_Rep] :
( ( perm_name_pi_Rep @ nil_Pr743626285e_name @ X )
= X ) )
= $true ),
inference(copy,[status(thm)],[483]) ).
thf(540,plain,
( ( ! [X: name] :
( ( perm_name_name @ nil_Pr743626285e_name @ X )
= X ) )
= $true ),
inference(copy,[status(thm)],[482]) ).
thf(541,plain,
( ( ! [X: pi] :
( ( perm_name_pi @ nil_Pr743626285e_name @ X )
= X ) )
= $true ),
inference(copy,[status(thm)],[481]) ).
thf(542,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)],[480]) ).
thf(543,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)],[479]) ).
thf(544,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)],[478]) ).
thf(545,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)],[477]) ).
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(copy,[status(thm)],[476]) ).
thf(547,plain,
( ( ! [X1: name,Y1: name] :
( ( ( late_BoundOutputS @ X1 )
= ( late_BoundOutputS @ Y1 ) )
= ( X1 = Y1 ) ) )
= $true ),
inference(copy,[status(thm)],[475]) ).
thf(548,plain,
( ( ! [X2: name,Y2: name] :
( ( ( late_BoundOutputS @ X2 )
= ( late_BoundOutputS @ Y2 ) )
= ( X2 = Y2 ) ) )
= $true ),
inference(copy,[status(thm)],[474]) ).
thf(549,plain,
( ( fresh_name_pi @ y @ p2 )
= $true ),
inference(copy,[status(thm)],[473]) ).
thf(550,plain,
( ( ! [X21: produc367475239e_name,X22: list_P227219501e_name,Y21: produc367475239e_name,Y22: list_P227219501e_name] :
( ( ( cons_P1213805021e_name @ X21 @ X22 )
= ( cons_P1213805021e_name @ Y21 @ Y22 ) )
= ( ( X21 = Y21 )
& ( X22 = Y22 ) ) ) )
= $true ),
inference(copy,[status(thm)],[472]) ).
thf(551,plain,
( ( ! [X1: name,X2: name,Y1: name,Y2: name] :
( ( ( produc1570949143e_name @ X1 @ X2 )
= ( produc1570949143e_name @ Y1 @ Y2 ) )
= ( ( X1 = Y1 )
& ( X2 = Y2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[471]) ).
thf(552,plain,
( ( ! [A: name,B: name,A2: name,B2: name] :
( ( ( produc1570949143e_name @ A @ B )
= ( produc1570949143e_name @ A2 @ B2 ) )
= ( ( A = A2 )
& ( B = B2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[470]) ).
thf(553,plain,
( ( ! [Residual_Rep: late_residual_Rep] :
( ( perm_n890803237al_Rep @ nil_Pr743626285e_name @ Residual_Rep )
= Residual_Rep ) )
= $true ),
inference(copy,[status(thm)],[469]) ).
thf(554,plain,
( ( ! [Subject_Rep: late_subject_Rep] :
( ( perm_n697952036ct_Rep @ nil_Pr743626285e_name @ Subject_Rep )
= Subject_Rep ) )
= $true ),
inference(copy,[status(thm)],[468]) ).
thf(555,plain,
( ( ! [FreeRes_Rep: late_freeRes_Rep] :
( ( perm_n1938283068es_Rep @ nil_Pr743626285e_name @ FreeRes_Rep )
= FreeRes_Rep ) )
= $true ),
inference(copy,[status(thm)],[467]) ).
thf(556,plain,
( ( ! [Pi_Rep: pi_Rep] :
( ( perm_name_pi_Rep @ nil_Pr743626285e_name @ Pi_Rep )
= Pi_Rep ) )
= $true ),
inference(copy,[status(thm)],[466]) ).
thf(557,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)],[465]) ).
thf(558,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(copy,[status(thm)],[464]) ).
thf(559,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(copy,[status(thm)],[463]) ).
thf(560,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(copy,[status(thm)],[462]) ).
thf(561,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(copy,[status(thm)],[461]) ).
thf(562,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(copy,[status(thm)],[460]) ).
thf(563,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(copy,[status(thm)],[459]) ).
thf(564,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(copy,[status(thm)],[458]) ).
thf(565,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(copy,[status(thm)],[457]) ).
thf(566,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(copy,[status(thm)],[456]) ).
thf(567,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(copy,[status(thm)],[455]) ).
thf(568,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(copy,[status(thm)],[454]) ).
thf(569,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(copy,[status(thm)],[453]) ).
thf(570,plain,
( ( fresh_717452603ubject @ y @ a )
= $true ),
inference(copy,[status(thm)],[452]) ).
thf(571,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(copy,[status(thm)],[451]) ).
thf(572,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)],[450]) ).
thf(573,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)],[449]) ).
thf(574,plain,
( ( ! [X: name] :
( ( perm_name_name @ nil_Pr743626285e_name @ X )
= X ) )
= $true ),
inference(copy,[status(thm)],[448]) ).
thf(575,plain,
( ( ! [X: produc1872410278e_name] :
( ! [P: produc367475239e_name > produc367475239e_name > $o] :
( X
!= ( produc1069608854e_name @ P @ nil_Pr743626285e_name ) )
=> ( ! [P: produc367475239e_name > produc367475239e_name > $o,X4: produc367475239e_name] :
( X
!= ( produc1069608854e_name @ P @ ( cons_P1213805021e_name @ X4 @ nil_Pr743626285e_name ) ) )
=> ~ ! [P: produc367475239e_name > produc367475239e_name > $o,X4: produc367475239e_name,Y3: produc367475239e_name,Xs: list_P227219501e_name] :
( X
!= ( produc1069608854e_name @ P @ ( cons_P1213805021e_name @ X4 @ ( cons_P1213805021e_name @ Y3 @ Xs ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[447]) ).
thf(576,plain,
( ( ! [X: produc1872410278e_name] :
( ! [P: produc367475239e_name > produc367475239e_name > $o] :
( X
!= ( produc1069608854e_name @ P @ nil_Pr743626285e_name ) )
=> ~ ! [P: produc367475239e_name > produc367475239e_name > $o,X4: produc367475239e_name,Ys: list_P227219501e_name] :
( X
!= ( produc1069608854e_name @ P @ ( cons_P1213805021e_name @ X4 @ Ys ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[446]) ).
thf(577,plain,
( ( ! [X: produc890461031e_name] :
( ! [Ys: list_P227219501e_name] :
( X
!= ( produc208131031e_name @ nil_Pr743626285e_name @ Ys ) )
=> ( ! [Xs: list_P227219501e_name] :
( X
!= ( produc208131031e_name @ Xs @ nil_Pr743626285e_name ) )
=> ~ ! [X4: produc367475239e_name,Xs: list_P227219501e_name,Y3: produc367475239e_name,Ys: list_P227219501e_name] :
( X
!= ( produc208131031e_name @ ( cons_P1213805021e_name @ X4 @ Xs ) @ ( cons_P1213805021e_name @ Y3 @ Ys ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[445]) ).
thf(578,plain,
( ( ! [X: produc890461031e_name] :
( ! [Ys: list_P227219501e_name] :
( X
!= ( produc208131031e_name @ nil_Pr743626285e_name @ Ys ) )
=> ~ ! [X4: produc367475239e_name,Xs: list_P227219501e_name,Ys: list_P227219501e_name] :
( X
!= ( produc208131031e_name @ ( cons_P1213805021e_name @ X4 @ Xs ) @ Ys ) ) ) )
= $true ),
inference(copy,[status(thm)],[444]) ).
thf(579,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)],[443]) ).
thf(580,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)],[442]) ).
thf(581,plain,
( ( ! [A: name,C2: name,B: name] :
( ( A != C2 )
=> ( ( B != C2 )
=> ( ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ C2 )
= C2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[441]) ).
thf(582,plain,
( ( ! [C2: name,A: name,X: pi_Rep,B: name] :
( ( C2 != A )
=> ( ( fresh_name_pi_Rep @ A @ X )
=> ( ( fresh_name_pi_Rep @ C2 @ X )
=> ( fresh_name_pi_Rep @ C2 @ ( perm_name_pi_Rep @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ X ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[440]) ).
thf(583,plain,
( ( ! [C2: name,A: name,X: late_subject,B: name] :
( ( C2 != A )
=> ( ( fresh_717452603ubject @ A @ X )
=> ( ( fresh_717452603ubject @ C2 @ X )
=> ( fresh_717452603ubject @ C2 @ ( perm_n1559866809ubject @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ X ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[439]) ).
thf(584,plain,
( ( ! [C2: name,A: name,X: late_freeRes,B: name] :
( ( C2 != A )
=> ( ( fresh_1641682979reeRes @ A @ X )
=> ( ( fresh_1641682979reeRes @ C2 @ X )
=> ( fresh_1641682979reeRes @ C2 @ ( perm_n336613537reeRes @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ X ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[438]) ).
thf(585,plain,
( ( ! [C2: name,A: name,X: produc1141751126_pi_pi,B: name] :
( ( C2 != A )
=> ( ( fresh_1376661020_pi_pi @ A @ X )
=> ( ( fresh_1376661020_pi_pi @ C2 @ X )
=> ( fresh_1376661020_pi_pi @ C2 @ ( perm_n1255502110_pi_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ X ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[437]) ).
thf(586,plain,
( ( ! [C2: name,A: name,X: name,B: name] :
( ( C2 != A )
=> ( ( fresh_name_name @ A @ X )
=> ( ( fresh_name_name @ C2 @ X )
=> ( fresh_name_name @ C2 @ ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ X ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[436]) ).
thf(587,plain,
( ( ! [C2: name,A: name,X: pi,B: name] :
( ( C2 != A )
=> ( ( fresh_name_pi @ A @ X )
=> ( ( fresh_name_pi @ C2 @ X )
=> ( fresh_name_pi @ C2 @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ X ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[435]) ).
thf(588,plain,
( ( ! [P2: produc367475239e_name > $o,Prod: produc367475239e_name] :
( ! [A3: name,B3: name] : ( P2 @ ( produc1570949143e_name @ A3 @ B3 ) )
=> ( P2 @ Prod ) ) )
= $true ),
inference(copy,[status(thm)],[434]) ).
thf(589,plain,
( ( ! [Y4: produc367475239e_name] :
~ ! [A3: name,B3: name] :
( Y4
!= ( produc1570949143e_name @ A3 @ B3 ) ) )
= $true ),
inference(copy,[status(thm)],[433]) ).
thf(590,plain,
( ( ! [A: name,B: name,A2: name,B2: name] :
( ( ( produc1570949143e_name @ A @ B )
= ( produc1570949143e_name @ A2 @ B2 ) )
=> ~ ( ( A = A2 )
=> ( B != B2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[432]) ).
thf(591,plain,
( ( ! [P2: produc367475239e_name > $o,P3: produc367475239e_name] :
( ! [A3: name,B3: name] : ( P2 @ ( produc1570949143e_name @ A3 @ B3 ) )
=> ( P2 @ P3 ) ) )
= $true ),
inference(copy,[status(thm)],[431]) ).
thf(592,plain,
( ( ! [P3: produc367475239e_name] :
? [X4: name,Y3: name] :
( P3
= ( produc1570949143e_name @ X4 @ Y3 ) ) )
= $true ),
inference(copy,[status(thm)],[430]) ).
thf(593,plain,
( ( ! [X: produc367475239e_name,Xs2: list_P227219501e_name] :
( ( cons_P1213805021e_name @ X @ Xs2 )
!= Xs2 ) )
= $true ),
inference(copy,[status(thm)],[429]) ).
thf(594,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)],[428]) ).
thf(595,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)],[427]) ).
thf(596,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)],[426]) ).
thf(597,plain,
( ( ! [Pi: list_P227219501e_name,X: pi,Y4: pi] :
( ( ( perm_name_pi @ Pi @ X )
= ( perm_name_pi @ Pi @ Y4 ) )
= ( X = Y4 ) ) )
= $true ),
inference(copy,[status(thm)],[425]) ).
thf(598,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)],[424]) ).
thf(599,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)],[423]) ).
thf(600,plain,
( ( ! [Pi: list_P227219501e_name,X: pi,X3: set_pi] :
( ( perm_name_o @ Pi @ ( member_pi @ X @ X3 ) )
= ( member_pi @ ( perm_name_pi @ Pi @ X ) @ ( perm_name_set_pi @ Pi @ X3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[422]) ).
thf(601,plain,
( ( ! [Pi: list_P227219501e_name,X: pi,Y4: pi] :
( ( perm_name_o @ Pi @ ( X = Y4 ) )
= ( ( perm_name_pi @ Pi @ X )
= ( perm_name_pi @ Pi @ Y4 ) ) ) )
= $true ),
inference(copy,[status(thm)],[421]) ).
thf(602,plain,
( ( ! [P2: ( produc367475239e_name > produc367475239e_name ) > list_P227219501e_name > list_P227219501e_name > $o,A0: produc367475239e_name > produc367475239e_name,A1: list_P227219501e_name,A22: list_P227219501e_name] :
( ! [F2: produc367475239e_name > produc367475239e_name,X_1: list_P227219501e_name] : ( P2 @ F2 @ nil_Pr743626285e_name @ X_1 )
=> ( ! [F2: produc367475239e_name > produc367475239e_name,A3: produc367475239e_name,As: list_P227219501e_name,Bs: list_P227219501e_name] :
( ( P2 @ F2 @ As @ ( cons_P1213805021e_name @ ( F2 @ A3 ) @ Bs ) )
=> ( P2 @ F2 @ ( cons_P1213805021e_name @ A3 @ As ) @ Bs ) )
=> ( P2 @ A0 @ A1 @ A22 ) ) ) )
= $true ),
inference(copy,[status(thm)],[420]) ).
thf(603,plain,
( ( ! [Xs2: list_P227219501e_name,P2: list_P227219501e_name > $o] :
( ( Xs2 != nil_Pr743626285e_name )
=> ( ! [X4: produc367475239e_name] : ( P2 @ ( cons_P1213805021e_name @ X4 @ nil_Pr743626285e_name ) )
=> ( ! [X4: produc367475239e_name,Xs: list_P227219501e_name] :
( ( Xs != nil_Pr743626285e_name )
=> ( ( P2 @ Xs )
=> ( P2 @ ( cons_P1213805021e_name @ X4 @ Xs ) ) ) )
=> ( P2 @ Xs2 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[419]) ).
thf(604,plain,
( ( ! [P2: ( produc367475239e_name > produc367475239e_name > $o ) > list_P227219501e_name > $o,A0: produc367475239e_name > produc367475239e_name > $o,A1: list_P227219501e_name] :
( ! [P: produc367475239e_name > produc367475239e_name > $o] : ( P2 @ P @ nil_Pr743626285e_name )
=> ( ! [P: produc367475239e_name > produc367475239e_name > $o,X4: produc367475239e_name] : ( P2 @ P @ ( cons_P1213805021e_name @ X4 @ nil_Pr743626285e_name ) )
=> ( ! [P: produc367475239e_name > produc367475239e_name > $o,X4: produc367475239e_name,Y3: produc367475239e_name,Xs: list_P227219501e_name] :
( ( P2 @ P @ ( cons_P1213805021e_name @ Y3 @ Xs ) )
=> ( P2 @ P @ ( cons_P1213805021e_name @ X4 @ ( cons_P1213805021e_name @ Y3 @ Xs ) ) ) )
=> ( P2 @ A0 @ A1 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[418]) ).
thf(605,plain,
( ( ! [P2: list_P227219501e_name > $o,A0: list_P227219501e_name] :
( ( P2 @ nil_Pr743626285e_name )
=> ( ! [X4: produc367475239e_name] : ( P2 @ ( cons_P1213805021e_name @ X4 @ nil_Pr743626285e_name ) )
=> ( ! [X4: produc367475239e_name,Y3: produc367475239e_name,Xs: list_P227219501e_name] :
( ( ( X4 = Y3 )
=> ( P2 @ ( cons_P1213805021e_name @ X4 @ Xs ) ) )
=> ( ( ( X4 != Y3 )
=> ( P2 @ ( cons_P1213805021e_name @ Y3 @ Xs ) ) )
=> ( P2 @ ( cons_P1213805021e_name @ X4 @ ( cons_P1213805021e_name @ Y3 @ Xs ) ) ) ) )
=> ( P2 @ A0 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[417]) ).
thf(606,plain,
( ( ! [P2: ( produc367475239e_name > produc367475239e_name > $o ) > list_P227219501e_name > $o,A0: produc367475239e_name > produc367475239e_name > $o,A1: list_P227219501e_name] :
( ! [P: produc367475239e_name > produc367475239e_name > $o] : ( P2 @ P @ nil_Pr743626285e_name )
=> ( ! [P: produc367475239e_name > produc367475239e_name > $o,X4: produc367475239e_name,Ys: list_P227219501e_name] :
( ( P2 @ P @ Ys )
=> ( P2 @ P @ ( cons_P1213805021e_name @ X4 @ Ys ) ) )
=> ( P2 @ A0 @ A1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[416]) ).
thf(607,plain,
( ( ! [X: list_P227219501e_name] :
( ( X != nil_Pr743626285e_name )
=> ( ! [X4: produc367475239e_name] :
( X
!= ( cons_P1213805021e_name @ X4 @ nil_Pr743626285e_name ) )
=> ~ ! [X4: produc367475239e_name,Y3: produc367475239e_name,Xs: list_P227219501e_name] :
( X
!= ( cons_P1213805021e_name @ X4 @ ( cons_P1213805021e_name @ Y3 @ Xs ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[415]) ).
thf(608,plain,
( ( ! [X: list_l1406151091e_name] :
( ( X != nil_li29751603e_name )
=> ( ! [Xss: list_l1406151091e_name] :
( X
!= ( cons_l798145763e_name @ nil_Pr743626285e_name @ Xss ) )
=> ~ ! [X4: produc367475239e_name,Xs: list_P227219501e_name,Xss: list_l1406151091e_name] :
( X
!= ( cons_l798145763e_name @ ( cons_P1213805021e_name @ X4 @ Xs ) @ Xss ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[414]) ).
thf(609,plain,
( ( ! [P2: list_P227219501e_name > list_P227219501e_name > $o,A0: list_P227219501e_name,A1: list_P227219501e_name] :
( ! [X_1: list_P227219501e_name] : ( P2 @ nil_Pr743626285e_name @ X_1 )
=> ( ! [Xs: list_P227219501e_name] : ( P2 @ Xs @ nil_Pr743626285e_name )
=> ( ! [X4: produc367475239e_name,Xs: list_P227219501e_name,Y3: produc367475239e_name,Ys: list_P227219501e_name] :
( ( P2 @ Xs @ ( cons_P1213805021e_name @ Y3 @ Ys ) )
=> ( ( P2 @ ( cons_P1213805021e_name @ X4 @ Xs ) @ Ys )
=> ( P2 @ ( cons_P1213805021e_name @ X4 @ Xs ) @ ( cons_P1213805021e_name @ Y3 @ Ys ) ) ) )
=> ( P2 @ A0 @ A1 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[413]) ).
thf(610,plain,
( ( ! [P2: list_P227219501e_name > $o,Xs2: list_P227219501e_name] :
( ( P2 @ nil_Pr743626285e_name )
=> ( ! [X4: produc367475239e_name] : ( P2 @ ( cons_P1213805021e_name @ X4 @ nil_Pr743626285e_name ) )
=> ( ! [X4: produc367475239e_name,Y3: produc367475239e_name,Zs: list_P227219501e_name] :
( ( P2 @ Zs )
=> ( ( P2 @ ( cons_P1213805021e_name @ Y3 @ Zs ) )
=> ( P2 @ ( cons_P1213805021e_name @ X4 @ ( cons_P1213805021e_name @ Y3 @ Zs ) ) ) ) )
=> ( P2 @ Xs2 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[412]) ).
thf(611,plain,
( ( ! [P2: list_P227219501e_name > list_P227219501e_name > $o,A0: list_P227219501e_name,A1: list_P227219501e_name] :
( ! [X_1: list_P227219501e_name] : ( P2 @ nil_Pr743626285e_name @ X_1 )
=> ( ! [X4: produc367475239e_name,Xs: list_P227219501e_name,Ys: list_P227219501e_name] :
( ( P2 @ Ys @ Xs )
=> ( P2 @ ( cons_P1213805021e_name @ X4 @ Xs ) @ Ys ) )
=> ( P2 @ A0 @ A1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[411]) ).
thf(612,plain,
( ( ! [P2: list_P227219501e_name > list_P227219501e_name > $o,Xs2: list_P227219501e_name,Ys2: list_P227219501e_name] :
( ( P2 @ nil_Pr743626285e_name @ nil_Pr743626285e_name )
=> ( ! [X4: produc367475239e_name,Xs: list_P227219501e_name] : ( P2 @ ( cons_P1213805021e_name @ X4 @ Xs ) @ nil_Pr743626285e_name )
=> ( ! [Y3: produc367475239e_name,Ys: list_P227219501e_name] : ( P2 @ nil_Pr743626285e_name @ ( cons_P1213805021e_name @ Y3 @ Ys ) )
=> ( ! [X4: produc367475239e_name,Xs: list_P227219501e_name,Y3: produc367475239e_name,Ys: list_P227219501e_name] :
( ( P2 @ Xs @ Ys )
=> ( P2 @ ( cons_P1213805021e_name @ X4 @ Xs ) @ ( cons_P1213805021e_name @ Y3 @ Ys ) ) )
=> ( P2 @ Xs2 @ Ys2 ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[410]) ).
thf(613,plain,
( ( ! [Xs2: list_P227219501e_name] :
( ( Xs2 != nil_Pr743626285e_name )
= ( ? [Y5: produc367475239e_name,Ys3: list_P227219501e_name] :
( Xs2
= ( cons_P1213805021e_name @ Y5 @ Ys3 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[409]) ).
thf(614,plain,
( ( ! [P2: list_P227219501e_name > $o,List: list_P227219501e_name] :
( ( P2 @ nil_Pr743626285e_name )
=> ( ! [X12: produc367475239e_name,X23: list_P227219501e_name] :
( ( P2 @ X23 )
=> ( P2 @ ( cons_P1213805021e_name @ X12 @ X23 ) ) )
=> ( P2 @ List ) ) ) )
= $true ),
inference(copy,[status(thm)],[408]) ).
thf(615,plain,
( ( ! [Y4: list_P227219501e_name] :
( ( Y4 != nil_Pr743626285e_name )
=> ~ ! [X212: produc367475239e_name,X222: list_P227219501e_name] :
( Y4
!= ( cons_P1213805021e_name @ X212 @ X222 ) ) ) )
= $true ),
inference(copy,[status(thm)],[407]) ).
thf(616,plain,
( ( ! [List: list_P227219501e_name,X21: produc367475239e_name,X22: list_P227219501e_name] :
( ( List
= ( cons_P1213805021e_name @ X21 @ X22 ) )
=> ( List != nil_Pr743626285e_name ) ) )
= $true ),
inference(copy,[status(thm)],[406]) ).
thf(617,plain,
( ( ! [X21: produc367475239e_name,X22: list_P227219501e_name] :
( nil_Pr743626285e_name
!= ( cons_P1213805021e_name @ X21 @ X22 ) ) )
= $true ),
inference(copy,[status(thm)],[405]) ).
thf(618,plain,
( ( fresh_name_pi @ y @ q )
= $true ),
inference(copy,[status(thm)],[404]) ).
thf(619,plain,
( ( ! [A: name,B: name] :
( ( member695284560e_name @ ( produc1570949143e_name @ A @ B ) @ id_name )
= ( A = B ) ) )
= $true ),
inference(copy,[status(thm)],[403]) ).
thf(620,plain,
( ( ! [A: name] : ( member695284560e_name @ ( produc1570949143e_name @ A @ A ) @ id_name ) )
= $true ),
inference(copy,[status(thm)],[402]) ).
thf(621,plain,
( ( fresh_name_pi @ y @ p )
= $true ),
inference(copy,[status(thm)],[401]) ).
thf(622,plain,
( ( ! [Rel: set_Pr1834926343_pi_pi,P2: pi,A: late_subject,X: name] :
( ( ord_le630093991_pi_pi @ id_pi @ Rel )
=> ( strong2129052853vative @ P2 @ P2 @ A @ X @ Rel ) ) )
= $true ),
inference(copy,[status(thm)],[400]) ).
thf(623,plain,
( ( ! [P2: pi,Q: pi,A: late_subject,X: name,Rel: set_Pr1834926343_pi_pi,Perm: list_P227219501e_name] :
( ( strong2129052853vative @ P2 @ Q @ A @ X @ Rel )
=> ( ( eqvt_pi @ Rel )
=> ( strong2129052853vative @ ( perm_name_pi @ Perm @ P2 ) @ ( perm_name_pi @ Perm @ Q ) @ ( perm_n1559866809ubject @ Perm @ A ) @ ( perm_name_name @ Perm @ X ) @ Rel ) ) ) )
= $true ),
inference(copy,[status(thm)],[399]) ).
thf(624,plain,
( ( ! [P2: pi,Q: pi,A: late_subject,X: name,Rel: set_Pr1834926343_pi_pi,Perm: list_P227219501e_name] :
( ( strong2129052853vative @ P2 @ Q @ A @ X @ Rel )
=> ( ( eqvt_pi @ Rel )
=> ( strong2129052853vative @ ( perm_name_pi @ Perm @ P2 ) @ ( perm_name_pi @ Perm @ Q ) @ A @ ( perm_name_name @ Perm @ X ) @ Rel ) ) ) )
= $true ),
inference(copy,[status(thm)],[398]) ).
thf(625,plain,
( ( ! [Rel: set_Pr443758855e_name,P2: name,Q: name,Perm: list_P227219501e_name] :
( ( eqvt_name @ Rel )
=> ( ( member695284560e_name @ ( produc1570949143e_name @ P2 @ Q ) @ Rel )
=> ( member695284560e_name @ ( produc1570949143e_name @ ( perm_name_name @ Perm @ P2 ) @ ( perm_name_name @ Perm @ Q ) ) @ Rel ) ) ) )
= $true ),
inference(copy,[status(thm)],[397]) ).
thf(626,plain,
( ( ! [Rel: set_Pr1834926343_pi_pi,P2: pi,Q: pi,Perm: list_P227219501e_name] :
( ( eqvt_pi @ Rel )
=> ( ( member558706512_pi_pi @ ( product_Pair_pi_pi @ P2 @ Q ) @ Rel )
=> ( member558706512_pi_pi @ ( product_Pair_pi_pi @ ( perm_name_pi @ Perm @ P2 ) @ ( perm_name_pi @ Perm @ Q ) ) @ Rel ) ) ) )
= $true ),
inference(copy,[status(thm)],[396]) ).
thf(627,plain,
( ( ! [A: name,X1: name] :
( ( fresh_717452603ubject @ A @ ( late_BoundOutputS @ X1 ) )
= ( fresh_name_name @ A @ X1 ) ) )
= $true ),
inference(copy,[status(thm)],[395]) ).
thf(628,plain,
( ( ! [P2: list_P227219501e_name > $o] :
( ! [X_1: list_P227219501e_name] : ( P2 @ X_1 )
=> ( P2 @ nil_Pr743626285e_name ) ) )
= $true ),
inference(copy,[status(thm)],[394]) ).
thf(629,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(copy,[status(thm)],[393]) ).
thf(630,plain,
( ( ! [X: pi,Y4: pi,Pi: list_P227219501e_name] :
( ( X = Y4 )
=> ( ( perm_name_pi @ Pi @ X )
= ( perm_name_pi @ Pi @ Y4 ) ) ) )
= $true ),
inference(copy,[status(thm)],[392]) ).
thf(631,plain,
( ( ! [C2: $o,Pi: list_P227219501e_name,X: pi,Y4: pi] :
( ( C2
=> ( ( perm_name_pi @ Pi @ ( if_pi @ C2 @ X @ Y4 ) )
= ( perm_name_pi @ Pi @ X ) ) )
& ( ~ C2
=> ( ( perm_name_pi @ Pi @ ( if_pi @ C2 @ X @ Y4 ) )
= ( perm_name_pi @ Pi @ Y4 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[391]) ).
thf(632,plain,
( ( ! [Pi: list_P227219501e_name,X: late_subject,Y4: pi] :
( ( perm_n359102898ect_pi @ Pi @ ( produc324947500ect_pi @ X @ Y4 ) )
= ( produc324947500ect_pi @ ( perm_n1559866809ubject @ Pi @ X ) @ ( perm_name_pi @ Pi @ Y4 ) ) ) )
= $true ),
inference(copy,[status(thm)],[390]) ).
thf(633,plain,
( ( ! [Pi: list_P227219501e_name,X: late_freeRes,Y4: pi] :
( ( perm_n1211707594Res_pi @ Pi @ ( produc1177552196Res_pi @ X @ Y4 ) )
= ( produc1177552196Res_pi @ ( perm_n336613537reeRes @ Pi @ X ) @ ( perm_name_pi @ Pi @ Y4 ) ) ) )
= $true ),
inference(copy,[status(thm)],[389]) ).
thf(634,plain,
( ( ! [Pi: list_P227219501e_name,X: pi,Xs2: list_pi] :
( ( perm_name_list_pi @ Pi @ ( cons_pi @ X @ Xs2 ) )
= ( cons_pi @ ( perm_name_pi @ Pi @ X ) @ ( perm_name_list_pi @ Pi @ Xs2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[388]) ).
thf(635,plain,
( ( ! [A: name,X: name,Y4: name] :
( ( fresh_441084397e_name @ A @ ( produc1570949143e_name @ X @ Y4 ) )
=> ( fresh_name_name @ A @ X ) ) )
= $true ),
inference(copy,[status(thm)],[387]) ).
thf(636,plain,
( ( ! [A: name,X: name,Y4: name] :
( ( fresh_441084397e_name @ A @ ( produc1570949143e_name @ X @ Y4 ) )
=> ( fresh_name_name @ A @ Y4 ) ) )
= $true ),
inference(copy,[status(thm)],[386]) ).
thf(637,plain,
( ( ! [R: set_Pr443758855e_name,S: set_Pr443758855e_name] :
( ! [X4: name,Y3: name] :
( ( member695284560e_name @ ( produc1570949143e_name @ X4 @ Y3 ) @ R )
=> ( member695284560e_name @ ( produc1570949143e_name @ X4 @ Y3 ) @ S ) )
=> ( ord_le793202855e_name @ R @ S ) ) )
= $true ),
inference(copy,[status(thm)],[385]) ).
thf(638,plain,
( ( ! [P3: produc367475239e_name] :
( ( member695284560e_name @ P3 @ id_name )
=> ~ ! [X4: name] :
( P3
!= ( produc1570949143e_name @ X4 @ X4 ) ) ) )
= $true ),
inference(copy,[status(thm)],[384]) ).
thf(639,plain,
( ( ! [P2: pi,Q: pi,A: late_subject,X: name,A4: set_Pr1834926343_pi_pi,B4: set_Pr1834926343_pi_pi] :
( ( strong2129052853vative @ P2 @ Q @ A @ X @ A4 )
=> ( ( ord_le630093991_pi_pi @ A4 @ B4 )
=> ( strong2129052853vative @ P2 @ Q @ A @ X @ B4 ) ) ) )
= $true ),
inference(copy,[status(thm)],[383]) ).
thf(640,plain,
( ( ! [Rel: set_Pr443758855e_name,Perm: list_P227219501e_name,P2: name,Q: name] :
( ( eqvt_name @ Rel )
=> ( ( member695284560e_name @ ( produc1570949143e_name @ ( perm_name_name @ Perm @ P2 ) @ ( perm_name_name @ Perm @ Q ) ) @ Rel )
=> ( member695284560e_name @ ( produc1570949143e_name @ P2 @ Q ) @ Rel ) ) ) )
= $true ),
inference(copy,[status(thm)],[382]) ).
thf(641,plain,
( ( ! [Rel: set_Pr1834926343_pi_pi,Perm: list_P227219501e_name,P2: pi,Q: pi] :
( ( eqvt_pi @ Rel )
=> ( ( member558706512_pi_pi @ ( product_Pair_pi_pi @ ( perm_name_pi @ Perm @ P2 ) @ ( perm_name_pi @ Perm @ Q ) ) @ Rel )
=> ( member558706512_pi_pi @ ( product_Pair_pi_pi @ P2 @ Q ) @ Rel ) ) ) )
= $true ),
inference(copy,[status(thm)],[381]) ).
thf(642,plain,
( ( ! [Pi: list_P227219501e_name,X2: pi,X1: pi] :
( ( perm_name_pi @ Pi @ ( sum @ X2 @ X1 ) )
= ( sum @ ( perm_name_pi @ Pi @ X2 ) @ ( perm_name_pi @ Pi @ X1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[380]) ).
thf(643,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)],[379]) ).
thf(644,plain,
( ( ! [C2: name,P2: pi,A: name] :
( ( fresh_name_pi @ C2 @ P2 )
=> ( ( res @ A @ P2 )
= ( res @ C2 @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ C2 ) @ nil_Pr743626285e_name ) @ P2 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[378]) ).
thf(645,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(copy,[status(thm)],[377]) ).
thf(646,plain,
( ( ! [P2: pi,Rel: set_Pr1834926343_pi_pi,Q: pi,Rel3: set_Pr1834926343_pi_pi,Perm: list_P227219501e_name] :
( ( strong743114133lation @ P2 @ Rel @ Q )
=> ( ( ord_le630093991_pi_pi @ Rel @ Rel3 )
=> ( ( eqvt_pi @ Rel3 )
=> ( strong743114133lation @ ( perm_name_pi @ Perm @ P2 ) @ Rel3 @ ( perm_name_pi @ Perm @ Q ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[376]) ).
thf(647,plain,
( ( ! [X6: name,P2: pi,A: late_subject,X: name] :
( ( fresh_name_pi @ X6 @ P2 )
=> ( ( late_BoundR @ A @ X @ P2 )
= ( late_BoundR @ A @ X6 @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ X @ X6 ) @ nil_Pr743626285e_name ) @ P2 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[375]) ).
thf(648,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)],[374]) ).
thf(649,plain,
( ( ! [C2: name,P2: pi,A: name,X: name] :
( ( fresh_name_pi @ C2 @ P2 )
=> ( ( input @ A @ X @ P2 )
= ( input @ A @ C2 @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ X @ C2 ) @ nil_Pr743626285e_name ) @ P2 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[373]) ).
thf(650,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)],[372]) ).
thf(651,plain,
( ( ! [A: name,X: name,P2: pi,B: name,Y4: name,P4: pi] :
~ ( late_transitions @ ( input @ A @ X @ P2 ) @ ( late_BoundR @ ( late_BoundOutputS @ B ) @ Y4 @ P4 ) ) )
= $true ),
inference(copy,[status(thm)],[371]) ).
thf(652,plain,
( ( ! [A: name,B: name,Pi: list_P227219501e_name,X: name] :
( ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ Pi ) @ X )
= ( swap_name @ ( produc1570949143e_name @ A @ B ) @ ( perm_name_name @ Pi @ X ) ) ) )
= $true ),
inference(copy,[status(thm)],[370]) ).
thf(653,plain,
( ( ! [Name2: name,Name: name] :
( ( late_InputS @ Name2 )
!= ( late_BoundOutputS @ Name ) ) )
= $true ),
inference(copy,[status(thm)],[369]) ).
thf(654,plain,
( ( ! [P2: $o] :
( ( P2 = $true )
| ( P2 = $false ) ) )
= $true ),
inference(copy,[status(thm)],[368]) ).
thf(655,plain,
( ( ~ ( strong2129052853vative @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ y @ x ) @ nil_Pr743626285e_name ) @ p2 ) @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ y @ x ) @ nil_Pr743626285e_name ) @ p2 ) @ ( late_BoundOutputS @ aa ) @ y @ rel ) )
= $true ),
inference(copy,[status(thm)],[511]) ).
thf(656,plain,
( ( ! [SX0: list_P227219501e_name > list_P227219501e_name > $o,SX1: list_P227219501e_name,SX2: list_P227219501e_name] :
( ~ ! [SX3: list_P227219501e_name] : ( SX0 @ nil_Pr743626285e_name @ SX3 )
| ~ ! [SX3: produc367475239e_name,SX4: list_P227219501e_name,SX5: list_P227219501e_name] :
( ~ ( SX0 @ SX5 @ SX4 )
| ( SX0 @ ( cons_P1213805021e_name @ SX3 @ SX4 ) @ SX5 ) )
| ( SX0 @ SX1 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[611]) ).
thf(657,plain,
( ( ! [SX0: list_P227219501e_name > list_P227219501e_name > $o,SX1: list_P227219501e_name,SX2: list_P227219501e_name] :
( ~ ( SX0 @ nil_Pr743626285e_name @ nil_Pr743626285e_name )
| ~ ! [SX3: produc367475239e_name,SX4: list_P227219501e_name] : ( SX0 @ ( cons_P1213805021e_name @ SX3 @ SX4 ) @ nil_Pr743626285e_name )
| ~ ! [SX3: produc367475239e_name,SX4: list_P227219501e_name] : ( SX0 @ nil_Pr743626285e_name @ ( cons_P1213805021e_name @ SX3 @ SX4 ) )
| ~ ! [SX3: produc367475239e_name,SX4: list_P227219501e_name,SX5: produc367475239e_name,SX6: list_P227219501e_name] :
( ~ ( SX0 @ SX4 @ SX6 )
| ( SX0 @ ( cons_P1213805021e_name @ SX3 @ SX4 ) @ ( cons_P1213805021e_name @ SX5 @ SX6 ) ) )
| ( SX0 @ SX1 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[612]) ).
thf(658,plain,
( ( ! [SX0: pi,SX1: pi,SX2: list_P227219501e_name] :
( ( SX0 != SX1 )
| ( ( perm_name_pi @ SX2 @ SX0 )
= ( perm_name_pi @ SX2 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[630]) ).
thf(659,plain,
( ( ! [SX0: pi,SX1: set_Pr1834926343_pi_pi,SX2: pi,SX3: set_Pr1834926343_pi_pi,SX4: list_P227219501e_name] :
( ~ ( strong743114133lation @ SX0 @ SX1 @ SX2 )
| ~ ( ord_le630093991_pi_pi @ SX1 @ SX3 )
| ~ ( eqvt_pi @ SX3 )
| ( strong743114133lation @ ( perm_name_pi @ SX4 @ SX0 ) @ SX3 @ ( perm_name_pi @ SX4 @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[646]) ).
thf(660,plain,
( ( ! [SX0: name,SX1: list_P227219501e_name,SX2: pi] :
( ~ ( fresh_922791155e_name @ SX0 @ SX1 )
| ~ ( fresh_name_pi @ SX0 @ SX2 )
| ( fresh_name_pi @ SX0 @ ( perm_name_pi @ SX1 @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[571]) ).
thf(661,plain,
( ( ! [SX0: list_P227219501e_name] :
( ~ ( ( SX0 != nil_Pr743626285e_name ) )
| ~ ! [SX1: produc367475239e_name] :
( SX0
!= ( cons_P1213805021e_name @ SX1 @ nil_Pr743626285e_name ) )
| ~ ! [SX1: produc367475239e_name,SX2: produc367475239e_name,SX3: list_P227219501e_name] :
( SX0
!= ( cons_P1213805021e_name @ SX1 @ ( cons_P1213805021e_name @ SX2 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[607]) ).
thf(662,plain,
( ( ! [SX0: ( produc367475239e_name > produc367475239e_name > $o ) > list_P227219501e_name > $o,SX1: produc367475239e_name > produc367475239e_name > $o,SX2: list_P227219501e_name] :
( ~ ! [SX3: produc367475239e_name > produc367475239e_name > $o] : ( SX0 @ SX3 @ nil_Pr743626285e_name )
| ~ ! [SX3: produc367475239e_name > produc367475239e_name > $o,SX4: produc367475239e_name,SX5: list_P227219501e_name] :
( ~ ( SX0 @ SX3 @ SX5 )
| ( SX0 @ SX3 @ ( cons_P1213805021e_name @ SX4 @ SX5 ) ) )
| ( SX0 @ SX1 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[606]) ).
thf(663,plain,
( ( y != x )
= $true ),
inference(unfold_def,[status(thm)],[515]) ).
thf(664,plain,
( ( ! [SX0: ( produc367475239e_name > produc367475239e_name ) > list_P227219501e_name > list_P227219501e_name > $o,SX1: produc367475239e_name > produc367475239e_name,SX2: list_P227219501e_name,SX3: list_P227219501e_name] :
( ~ ! [SX4: produc367475239e_name > produc367475239e_name,SX5: list_P227219501e_name] : ( SX0 @ SX4 @ nil_Pr743626285e_name @ SX5 )
| ~ ! [SX4: produc367475239e_name > produc367475239e_name,SX5: produc367475239e_name,SX6: list_P227219501e_name,SX7: list_P227219501e_name] :
( ~ ( SX0 @ SX4 @ SX6 @ ( cons_P1213805021e_name @ ( SX4 @ SX5 ) @ SX7 ) )
| ( SX0 @ SX4 @ ( cons_P1213805021e_name @ SX5 @ SX6 ) @ SX7 ) )
| ( SX0 @ SX1 @ SX2 @ SX3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[602]) ).
thf(665,plain,
( ( ! [SX0: list_l1406151091e_name] :
( ~ ( ( SX0 != nil_li29751603e_name ) )
| ~ ! [SX1: list_l1406151091e_name] :
( SX0
!= ( cons_l798145763e_name @ nil_Pr743626285e_name @ SX1 ) )
| ~ ! [SX1: produc367475239e_name,SX2: list_P227219501e_name,SX3: list_l1406151091e_name] :
( SX0
!= ( cons_l798145763e_name @ ( cons_P1213805021e_name @ SX1 @ SX2 ) @ SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[608]) ).
thf(666,plain,
( ( ! [SX0: produc367475239e_name] :
~ ! [SX1: name,SX2: name] :
( SX0
!= ( produc1570949143e_name @ SX1 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[589]) ).
thf(667,plain,
( ( ! [SX0: $o,SX1: list_P227219501e_name,SX2: pi,SX3: pi] :
~ ( ~ ( ~ SX0
| ( ( perm_name_pi @ SX1 @ ( if_pi @ SX0 @ SX2 @ SX3 ) )
= ( perm_name_pi @ SX1 @ SX2 ) ) )
| ~ ( ~ ~ SX0
| ( ( perm_name_pi @ SX1 @ ( if_pi @ SX0 @ SX2 @ SX3 ) )
= ( perm_name_pi @ SX1 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[631]) ).
thf(668,plain,
( ( ! [SX0: name,SX1: name,SX2: name] :
( ~ ( fresh_441084397e_name @ SX0 @ ( produc1570949143e_name @ SX1 @ SX2 ) )
| ( fresh_name_name @ SX0 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[636]) ).
thf(669,plain,
( ( ! [SX0: name,SX1: name,SX2: name,SX3: name] :
( ( ( produc1570949143e_name @ SX0 @ SX1 )
= ( produc1570949143e_name @ SX2 @ SX3 ) )
= ( ~ ( ( SX0 != SX2 )
| ( SX1 != SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[552]) ).
thf(670,plain,
( ( ! [SX0: name,SX1: name,SX2: name,SX3: name] :
( ( ( produc1570949143e_name @ SX0 @ SX1 )
!= ( produc1570949143e_name @ SX2 @ SX3 ) )
| ~ ( ( SX0 != SX2 )
| ( SX1 != SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[590]) ).
thf(671,plain,
( ( ! [SX0: set_Pr1834926343_pi_pi,SX1: pi,SX2: pi,SX3: list_P227219501e_name] :
( ~ ( eqvt_pi @ SX0 )
| ~ ( member558706512_pi_pi @ ( product_Pair_pi_pi @ SX1 @ SX2 ) @ SX0 )
| ( member558706512_pi_pi @ ( product_Pair_pi_pi @ ( perm_name_pi @ SX3 @ SX1 ) @ ( perm_name_pi @ SX3 @ SX2 ) ) @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[626]) ).
thf(672,plain,
( ( ! [SX0: produc890461031e_name] :
( ~ ! [SX1: list_P227219501e_name] :
( SX0
!= ( produc208131031e_name @ nil_Pr743626285e_name @ SX1 ) )
| ~ ! [SX1: list_P227219501e_name] :
( SX0
!= ( produc208131031e_name @ SX1 @ nil_Pr743626285e_name ) )
| ~ ! [SX1: produc367475239e_name,SX2: list_P227219501e_name,SX3: produc367475239e_name,SX4: list_P227219501e_name] :
( SX0
!= ( produc208131031e_name @ ( cons_P1213805021e_name @ SX1 @ SX2 ) @ ( cons_P1213805021e_name @ SX3 @ SX4 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[577]) ).
thf(673,plain,
( ( ! [SX0: set_Pr443758855e_name,SX1: set_Pr443758855e_name] :
( ~ ! [SX2: name,SX3: name] :
( ~ ( member695284560e_name @ ( produc1570949143e_name @ SX2 @ SX3 ) @ SX0 )
| ( member695284560e_name @ ( produc1570949143e_name @ SX2 @ SX3 ) @ SX1 ) )
| ( ord_le793202855e_name @ SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[637]) ).
thf(674,plain,
( ( ! [SX0: name,SX1: name,SX2: late_subject,SX3: name] :
( ~ ( ( SX0 != SX1 ) )
| ~ ( fresh_717452603ubject @ SX1 @ SX2 )
| ~ ( fresh_717452603ubject @ SX0 @ SX2 )
| ( fresh_717452603ubject @ SX0 @ ( perm_n1559866809ubject @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SX1 @ SX3 ) @ nil_Pr743626285e_name ) @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[583]) ).
thf(675,plain,
( ( ! [SX0: produc367475239e_name,SX1: list_P227219501e_name] :
( ( cons_P1213805021e_name @ SX0 @ SX1 )
!= SX1 ) )
= $true ),
inference(unfold_def,[status(thm)],[593]) ).
thf(676,plain,
( ( ! [SX0: name,SX1: name,SX2: pi,SX3: name] :
( ~ ( ( SX0 != SX1 ) )
| ~ ( fresh_name_pi @ SX1 @ SX2 )
| ~ ( fresh_name_pi @ SX0 @ SX2 )
| ( fresh_name_pi @ SX0 @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SX1 @ SX3 ) @ nil_Pr743626285e_name ) @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[587]) ).
thf(677,plain,
( ( ! [SX0: name,SX1: pi,SX2: name] :
( ~ ( fresh_name_pi @ SX0 @ SX1 )
| ~ ( fresh_name_pi @ SX2 @ SX1 )
| ( ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SX0 @ SX2 ) @ nil_Pr743626285e_name ) @ SX1 )
= SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[569]) ).
thf(678,plain,
( ( ! [SX0: list_P227219501e_name] :
( ~ ( ( SX0 != nil_Pr743626285e_name ) )
| ~ ! [SX1: produc367475239e_name,SX2: list_P227219501e_name] :
( SX0
!= ( cons_P1213805021e_name @ SX1 @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[615]) ).
thf(679,plain,
( ( ! [SX0: list_P227219501e_name > $o] :
( ~ ! [SX1: list_P227219501e_name] : ( SX0 @ SX1 )
| ( SX0 @ nil_Pr743626285e_name ) ) )
= $true ),
inference(unfold_def,[status(thm)],[628]) ).
thf(680,plain,
( ( ! [SX0: name,SX1: name,SX2: name] :
( ~ ( ( SX0 != SX1 ) )
| ~ ( ( SX2 != SX1 ) )
| ( ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SX0 @ SX2 ) @ nil_Pr743626285e_name ) @ SX1 )
= SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[581]) ).
thf(681,plain,
( ( ! [SX0: pi,SX1: pi,SX2: late_subject,SX3: name,SX4: set_Pr1834926343_pi_pi,SX5: set_Pr1834926343_pi_pi] :
( ~ ( strong2129052853vative @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 )
| ~ ( ord_le630093991_pi_pi @ SX4 @ SX5 )
| ( strong2129052853vative @ SX0 @ SX1 @ SX2 @ SX3 @ SX5 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[639]) ).
thf(682,plain,
( ( ! [SX0: ( produc367475239e_name > produc367475239e_name > $o ) > list_P227219501e_name > $o,SX1: produc367475239e_name > produc367475239e_name > $o,SX2: list_P227219501e_name] :
( ~ ! [SX3: produc367475239e_name > produc367475239e_name > $o] : ( SX0 @ SX3 @ nil_Pr743626285e_name )
| ~ ! [SX3: produc367475239e_name > produc367475239e_name > $o,SX4: produc367475239e_name] : ( SX0 @ SX3 @ ( cons_P1213805021e_name @ SX4 @ nil_Pr743626285e_name ) )
| ~ ! [SX3: produc367475239e_name > produc367475239e_name > $o,SX4: produc367475239e_name,SX5: produc367475239e_name,SX6: list_P227219501e_name] :
( ~ ( SX0 @ SX3 @ ( cons_P1213805021e_name @ SX5 @ SX6 ) )
| ( SX0 @ SX3 @ ( cons_P1213805021e_name @ SX4 @ ( cons_P1213805021e_name @ SX5 @ SX6 ) ) ) )
| ( SX0 @ SX1 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[604]) ).
thf(683,plain,
( ( ! [SX0: pi,SX1: pi,SX2: late_subject,SX3: name,SX4: set_Pr1834926343_pi_pi,SX5: list_P227219501e_name] :
( ~ ( strong2129052853vative @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 )
| ~ ( eqvt_pi @ SX4 )
| ( strong2129052853vative @ ( perm_name_pi @ SX5 @ SX0 ) @ ( perm_name_pi @ SX5 @ SX1 ) @ SX2 @ ( perm_name_name @ SX5 @ SX3 ) @ SX4 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[624]) ).
thf(684,plain,
( ( ! [SX0: list_P227219501e_name,SX1: list_P227219501e_name > $o] :
( ~ ( ( SX0 != nil_Pr743626285e_name ) )
| ~ ! [SX2: produc367475239e_name] : ( SX1 @ ( cons_P1213805021e_name @ SX2 @ nil_Pr743626285e_name ) )
| ~ ! [SX2: produc367475239e_name,SX3: list_P227219501e_name] :
( ~ ( ( SX3 != nil_Pr743626285e_name ) )
| ~ ( SX1 @ SX3 )
| ( SX1 @ ( cons_P1213805021e_name @ SX2 @ SX3 ) ) )
| ( SX1 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[603]) ).
thf(685,plain,
( ( ! [SX0: set_Pr1834926343_pi_pi,SX1: list_P227219501e_name,SX2: pi,SX3: pi] :
( ~ ( eqvt_pi @ SX0 )
| ~ ( member558706512_pi_pi @ ( product_Pair_pi_pi @ ( perm_name_pi @ SX1 @ SX2 ) @ ( perm_name_pi @ SX1 @ SX3 ) ) @ SX0 )
| ( member558706512_pi_pi @ ( product_Pair_pi_pi @ SX2 @ SX3 ) @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[641]) ).
thf(686,plain,
( ( ! [SX0: name,SX1: produc1141751126_pi_pi,SX2: name] :
( ~ ( fresh_1376661020_pi_pi @ SX0 @ SX1 )
| ~ ( fresh_1376661020_pi_pi @ SX2 @ SX1 )
| ( ( perm_n1255502110_pi_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SX0 @ SX2 ) @ nil_Pr743626285e_name ) @ SX1 )
= SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[567]) ).
thf(687,plain,
( ( ! [SX0: name,SX1: name,SX2: name,SX3: name] :
( ~ ( ( SX0 != SX1 ) )
| ~ ( fresh_name_name @ SX1 @ SX2 )
| ~ ( fresh_name_name @ SX0 @ SX2 )
| ( fresh_name_name @ SX0 @ ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SX1 @ SX3 ) @ nil_Pr743626285e_name ) @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[586]) ).
thf(688,plain,
( ( ! [SX0: name,SX1: name,SX2: late_freeRes,SX3: name] :
( ~ ( ( SX0 != SX1 ) )
| ~ ( fresh_1641682979reeRes @ SX1 @ SX2 )
| ~ ( fresh_1641682979reeRes @ SX0 @ SX2 )
| ( fresh_1641682979reeRes @ SX0 @ ( perm_n336613537reeRes @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SX1 @ SX3 ) @ nil_Pr743626285e_name ) @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[584]) ).
thf(689,plain,
( ( ! [SX0: produc1872410278e_name] :
( ~ ! [SX1: produc367475239e_name > produc367475239e_name > $o] :
( SX0
!= ( produc1069608854e_name @ SX1 @ nil_Pr743626285e_name ) )
| ~ ! [SX1: produc367475239e_name > produc367475239e_name > $o,SX2: produc367475239e_name] :
( SX0
!= ( produc1069608854e_name @ SX1 @ ( cons_P1213805021e_name @ SX2 @ nil_Pr743626285e_name ) ) )
| ~ ! [SX1: produc367475239e_name > produc367475239e_name > $o,SX2: produc367475239e_name,SX3: produc367475239e_name,SX4: list_P227219501e_name] :
( SX0
!= ( produc1069608854e_name @ SX1 @ ( cons_P1213805021e_name @ SX2 @ ( cons_P1213805021e_name @ SX3 @ SX4 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[575]) ).
thf(690,plain,
( ( ! [SX0: list_P227219501e_name > list_P227219501e_name > $o,SX1: list_P227219501e_name,SX2: list_P227219501e_name] :
( ~ ! [SX3: list_P227219501e_name] : ( SX0 @ nil_Pr743626285e_name @ SX3 )
| ~ ! [SX3: list_P227219501e_name] : ( SX0 @ SX3 @ nil_Pr743626285e_name )
| ~ ! [SX3: produc367475239e_name,SX4: list_P227219501e_name,SX5: produc367475239e_name,SX6: list_P227219501e_name] :
( ~ ( SX0 @ SX4 @ ( cons_P1213805021e_name @ SX5 @ SX6 ) )
| ~ ( SX0 @ ( cons_P1213805021e_name @ SX3 @ SX4 ) @ SX6 )
| ( SX0 @ ( cons_P1213805021e_name @ SX3 @ SX4 ) @ ( cons_P1213805021e_name @ SX5 @ SX6 ) ) )
| ( SX0 @ SX1 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[609]) ).
thf(691,plain,
( ( ! [SX0: name,SX1: name,SX2: pi_Rep,SX3: name] :
( ~ ( ( SX0 != SX1 ) )
| ~ ( fresh_name_pi_Rep @ SX1 @ SX2 )
| ~ ( fresh_name_pi_Rep @ SX0 @ SX2 )
| ( fresh_name_pi_Rep @ SX0 @ ( perm_name_pi_Rep @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SX1 @ SX3 ) @ nil_Pr743626285e_name ) @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[582]) ).
thf(692,plain,
( ( ! [SX0: name,SX1: late_freeRes,SX2: name] :
( ~ ( fresh_1641682979reeRes @ SX0 @ SX1 )
| ~ ( fresh_1641682979reeRes @ SX2 @ SX1 )
| ( ( perm_n336613537reeRes @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SX0 @ SX2 ) @ nil_Pr743626285e_name ) @ SX1 )
= SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[566]) ).
thf(693,plain,
( ( ! [SX0: list_P227219501e_name,SX1: produc367475239e_name,SX2: list_P227219501e_name] :
( ( SX0
!= ( cons_P1213805021e_name @ SX1 @ SX2 ) )
| ( SX0 != nil_Pr743626285e_name ) ) )
= $true ),
inference(unfold_def,[status(thm)],[616]) ).
thf(694,plain,
( ( ! [SX0: name,SX1: name] :
( ( late_InputS @ SX0 )
!= ( late_BoundOutputS @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[653]) ).
thf(695,plain,
( ( ! [SX0: set_Pr443758855e_name,SX1: name,SX2: name,SX3: list_P227219501e_name] :
( ~ ( eqvt_name @ SX0 )
| ~ ( member695284560e_name @ ( produc1570949143e_name @ SX1 @ SX2 ) @ SX0 )
| ( member695284560e_name @ ( produc1570949143e_name @ ( perm_name_name @ SX3 @ SX1 ) @ ( perm_name_name @ SX3 @ SX2 ) ) @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[625]) ).
thf(696,plain,
( ( ! [SX0: produc1872410278e_name] :
( ~ ! [SX1: produc367475239e_name > produc367475239e_name > $o] :
( SX0
!= ( produc1069608854e_name @ SX1 @ nil_Pr743626285e_name ) )
| ~ ! [SX1: produc367475239e_name > produc367475239e_name > $o,SX2: produc367475239e_name,SX3: list_P227219501e_name] :
( SX0
!= ( produc1069608854e_name @ SX1 @ ( cons_P1213805021e_name @ SX2 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[576]) ).
thf(697,plain,
( ( ! [SX0: list_P227219501e_name > $o,SX1: list_P227219501e_name] :
( ~ ( SX0 @ nil_Pr743626285e_name )
| ~ ! [SX2: produc367475239e_name,SX3: list_P227219501e_name] :
( ~ ( SX0 @ SX3 )
| ( SX0 @ ( cons_P1213805021e_name @ SX2 @ SX3 ) ) )
| ( SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[614]) ).
thf(698,plain,
( ( ! [SX0: list_P227219501e_name,SX1: $o,SX2: pi,SX3: pi] :
~ ( ~ ( ~ ( perm_name_o @ SX0 @ SX1 )
| ( ( perm_name_pi @ SX0 @ ( if_pi @ SX1 @ SX2 @ SX3 ) )
= ( perm_name_pi @ SX0 @ SX2 ) ) )
| ~ ( ~ ~ ( perm_name_o @ SX0 @ SX1 )
| ( ( perm_name_pi @ SX0 @ ( if_pi @ SX1 @ SX2 @ SX3 ) )
= ( perm_name_pi @ SX0 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[629]) ).
thf(699,plain,
( ( ! [SX0: name,SX1: produc1141751126_pi_pi,SX2: name] :
( ~ ( fresh_1376661020_pi_pi @ SX0 @ SX1 )
| ~ ( fresh_1376661020_pi_pi @ SX2 @ SX1 )
| ( ( perm_n1255502110_pi_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SX0 @ SX2 ) @ nil_Pr743626285e_name ) @ SX1 )
= SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[561]) ).
thf(700,plain,
( ( aa != x )
= $true ),
inference(unfold_def,[status(thm)],[513]) ).
thf(701,plain,
( ( ! [SX0: produc367475239e_name] :
( ~ ( member695284560e_name @ SX0 @ id_name )
| ~ ! [SX1: name] :
( SX0
!= ( produc1570949143e_name @ SX1 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[638]) ).
thf(702,plain,
( ( ! [SX0: name,SX1: pi,SX2: name] :
( ~ ( fresh_name_pi @ SX0 @ SX1 )
| ( ( res @ SX2 @ SX1 )
= ( res @ SX0 @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SX2 @ SX0 ) @ nil_Pr743626285e_name ) @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[644]) ).
thf(703,plain,
( ( ! [SX0: list_P227219501e_name] :
( ( SX0 != nil_Pr743626285e_name )
= ( ~ ! [SX1: produc367475239e_name] :
~ ~ ! [SX2: list_P227219501e_name] :
( SX0
!= ( cons_P1213805021e_name @ SX1 @ SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[613]) ).
thf(704,plain,
( ( ! [SX0: name,SX1: late_freeRes,SX2: name] :
( ~ ( fresh_1641682979reeRes @ SX0 @ SX1 )
| ~ ( fresh_1641682979reeRes @ SX2 @ SX1 )
| ( ( perm_n336613537reeRes @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SX0 @ SX2 ) @ nil_Pr743626285e_name ) @ SX1 )
= SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[560]) ).
thf(705,plain,
( ( ! [SX0: name,SX1: name,SX2: name] :
( ~ ( fresh_name_name @ SX0 @ SX1 )
| ~ ( fresh_name_name @ SX2 @ SX1 )
| ( ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SX0 @ SX2 ) @ nil_Pr743626285e_name ) @ SX1 )
= SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[568]) ).
thf(706,plain,
( ( ! [SX0: name,SX1: pi,SX2: late_subject,SX3: name] :
( ~ ( fresh_name_pi @ SX0 @ SX1 )
| ( ( late_BoundR @ SX2 @ SX3 @ SX1 )
= ( late_BoundR @ SX2 @ SX0 @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SX3 @ SX0 ) @ nil_Pr743626285e_name ) @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[647]) ).
thf(707,plain,
( ( ! [SX0: name,SX1: pi,SX2: name,SX3: name] :
( ~ ( fresh_name_pi @ SX0 @ SX1 )
| ( ( input @ SX2 @ SX3 @ SX1 )
= ( input @ SX2 @ SX0 @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SX3 @ SX0 ) @ nil_Pr743626285e_name ) @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[649]) ).
thf(708,plain,
( ( ! [SX0: name,SX1: pi_Rep,SX2: name] :
( ~ ( fresh_name_pi_Rep @ SX0 @ SX1 )
| ~ ( fresh_name_pi_Rep @ SX2 @ SX1 )
| ( ( perm_name_pi_Rep @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SX0 @ SX2 ) @ nil_Pr743626285e_name ) @ SX1 )
= SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[558]) ).
thf(709,plain,
( ( ! [SX0: name,SX1: name,SX2: name] :
( ~ ( fresh_441084397e_name @ SX0 @ ( produc1570949143e_name @ SX1 @ SX2 ) )
| ( fresh_name_name @ SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[635]) ).
thf(710,plain,
( ( ! [SX0: produc367475239e_name] :
~ ! [SX1: name] :
~ ~ ! [SX2: name] :
( SX0
!= ( produc1570949143e_name @ SX1 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[592]) ).
thf(711,plain,
( ( ! [SX0: list_P227219501e_name > $o,SX1: list_P227219501e_name] :
( ~ ( SX0 @ nil_Pr743626285e_name )
| ~ ! [SX2: produc367475239e_name] : ( SX0 @ ( cons_P1213805021e_name @ SX2 @ nil_Pr743626285e_name ) )
| ~ ! [SX2: produc367475239e_name,SX3: produc367475239e_name,SX4: list_P227219501e_name] :
( ~ ( SX0 @ SX4 )
| ~ ( SX0 @ ( cons_P1213805021e_name @ SX3 @ SX4 ) )
| ( SX0 @ ( cons_P1213805021e_name @ SX2 @ ( cons_P1213805021e_name @ SX3 @ SX4 ) ) ) )
| ( SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[610]) ).
thf(712,plain,
( ( ! [SX0: produc890461031e_name] :
( ~ ! [SX1: list_P227219501e_name] :
( SX0
!= ( produc208131031e_name @ nil_Pr743626285e_name @ SX1 ) )
| ~ ! [SX1: produc367475239e_name,SX2: list_P227219501e_name,SX3: list_P227219501e_name] :
( SX0
!= ( produc208131031e_name @ ( cons_P1213805021e_name @ SX1 @ SX2 ) @ SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[578]) ).
thf(713,plain,
( ( ! [SX0: name,SX1: name,SX2: name,SX3: name] :
( ( ( produc1570949143e_name @ SX0 @ SX1 )
= ( produc1570949143e_name @ SX2 @ SX3 ) )
= ( ~ ( ( SX0 != SX2 )
| ( SX1 != SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[551]) ).
thf(714,plain,
( ( ! [SX0: name,SX1: late_subject,SX2: name] :
( ~ ( fresh_717452603ubject @ SX0 @ SX1 )
| ~ ( fresh_717452603ubject @ SX2 @ SX1 )
| ( ( perm_n1559866809ubject @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SX0 @ SX2 ) @ nil_Pr743626285e_name ) @ SX1 )
= SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[565]) ).
thf(715,plain,
( ( ! [SX0: pi,SX1: pi,SX2: late_subject,SX3: name,SX4: set_Pr1834926343_pi_pi,SX5: list_P227219501e_name] :
( ~ ( strong2129052853vative @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 )
| ~ ( eqvt_pi @ SX4 )
| ( strong2129052853vative @ ( perm_name_pi @ SX5 @ SX0 ) @ ( perm_name_pi @ SX5 @ SX1 ) @ ( perm_n1559866809ubject @ SX5 @ SX2 ) @ ( perm_name_name @ SX5 @ SX3 ) @ SX4 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[623]) ).
thf(716,plain,
( ( ! [SX0: produc367475239e_name > $o,SX1: produc367475239e_name] :
( ~ ! [SX2: name,SX3: name] : ( SX0 @ ( produc1570949143e_name @ SX2 @ SX3 ) )
| ( SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[591]) ).
thf(717,plain,
( ( ! [SX0: list_P227219501e_name > $o,SX1: list_P227219501e_name] :
( ~ ( SX0 @ nil_Pr743626285e_name )
| ~ ! [SX2: produc367475239e_name] : ( SX0 @ ( cons_P1213805021e_name @ SX2 @ nil_Pr743626285e_name ) )
| ~ ! [SX2: produc367475239e_name,SX3: produc367475239e_name,SX4: list_P227219501e_name] :
( ~ ( ( SX2 != SX3 )
| ( SX0 @ ( cons_P1213805021e_name @ SX2 @ SX4 ) ) )
| ~ ( ~ ( ( SX2 != SX3 ) )
| ( SX0 @ ( cons_P1213805021e_name @ SX3 @ SX4 ) ) )
| ( SX0 @ ( cons_P1213805021e_name @ SX2 @ ( cons_P1213805021e_name @ SX3 @ SX4 ) ) ) )
| ( SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[605]) ).
thf(718,plain,
( ( ! [SX0: name,SX1: pi_Rep,SX2: name] :
( ~ ( fresh_name_pi_Rep @ SX0 @ SX1 )
| ~ ( fresh_name_pi_Rep @ SX2 @ SX1 )
| ( ( perm_name_pi_Rep @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SX0 @ SX2 ) @ nil_Pr743626285e_name ) @ SX1 )
= SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[564]) ).
thf(719,plain,
( ( ! [SX0: produc367475239e_name,SX1: list_P227219501e_name] :
( nil_Pr743626285e_name
!= ( cons_P1213805021e_name @ SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[617]) ).
thf(720,plain,
( ( ! [SX0: name,SX1: name,SX2: name] :
( ~ ( fresh_name_name @ SX0 @ SX1 )
| ~ ( fresh_name_name @ SX2 @ SX1 )
| ( ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SX0 @ SX2 ) @ nil_Pr743626285e_name ) @ SX1 )
= SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[562]) ).
thf(721,plain,
( ( ! [SX0: pi,SX1: late_residual,SX2: list_P227219501e_name] :
( ~ ( late_transitions @ SX0 @ SX1 )
| ( late_transitions @ ( perm_name_pi @ SX2 @ SX0 ) @ ( perm_n414416632sidual @ SX2 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[645]) ).
thf(722,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)],[550]) ).
thf(723,plain,
( ( ! [SX0: set_Pr443758855e_name,SX1: list_P227219501e_name,SX2: name,SX3: name] :
( ~ ( eqvt_name @ SX0 )
| ~ ( member695284560e_name @ ( produc1570949143e_name @ ( perm_name_name @ SX1 @ SX2 ) @ ( perm_name_name @ SX1 @ SX3 ) ) @ SX0 )
| ( member695284560e_name @ ( produc1570949143e_name @ SX2 @ SX3 ) @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[640]) ).
thf(724,plain,
( ( ! [SX0: name,SX1: pi,SX2: name] :
( ~ ( fresh_name_pi @ SX0 @ SX1 )
| ~ ( fresh_name_pi @ SX2 @ SX1 )
| ( ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SX0 @ SX2 ) @ nil_Pr743626285e_name ) @ SX1 )
= SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[563]) ).
thf(725,plain,
( ( ! [SX0: set_Pr1834926343_pi_pi,SX1: pi,SX2: late_subject,SX3: name] :
( ~ ( ord_le630093991_pi_pi @ id_pi @ SX0 )
| ( strong2129052853vative @ SX1 @ SX1 @ SX2 @ SX3 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[622]) ).
thf(726,plain,
( ( ! [SX0: name,SX1: name,SX2: produc1141751126_pi_pi,SX3: name] :
( ~ ( ( SX0 != SX1 ) )
| ~ ( fresh_1376661020_pi_pi @ SX1 @ SX2 )
| ~ ( fresh_1376661020_pi_pi @ SX0 @ SX2 )
| ( fresh_1376661020_pi_pi @ SX0 @ ( perm_n1255502110_pi_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SX1 @ SX3 ) @ nil_Pr743626285e_name ) @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[585]) ).
thf(727,plain,
( ( ! [SX0: name,SX1: late_subject,SX2: name] :
( ~ ( fresh_717452603ubject @ SX0 @ SX1 )
| ~ ( fresh_717452603ubject @ SX2 @ SX1 )
| ( ( perm_n1559866809ubject @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SX0 @ SX2 ) @ nil_Pr743626285e_name ) @ SX1 )
= SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[559]) ).
thf(728,plain,
( ( ! [SX0: produc367475239e_name > $o,SX1: produc367475239e_name] :
( ~ ! [SX2: name,SX3: name] : ( SX0 @ ( produc1570949143e_name @ SX2 @ SX3 ) )
| ( SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[588]) ).
thf(729,plain,
! [SV1: name] :
( ( ! [SY461: name,SY462: late_subject] :
( ( perm_n1559866809ubject @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV1 @ SY461 ) @ nil_Pr743626285e_name ) @ ( perm_n1559866809ubject @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV1 @ SY461 ) @ nil_Pr743626285e_name ) @ SY462 ) )
= SY462 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[517]) ).
thf(730,plain,
! [SV2: name] :
( ( ! [SY463: name,SY464: late_freeRes] :
( ( perm_n336613537reeRes @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV2 @ SY463 ) @ nil_Pr743626285e_name ) @ ( perm_n336613537reeRes @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV2 @ SY463 ) @ nil_Pr743626285e_name ) @ SY464 ) )
= SY464 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[518]) ).
thf(731,plain,
! [SV3: name] :
( ( ! [SY465: name,SY466: pi_Rep] :
( ( perm_name_pi_Rep @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV3 @ SY465 ) @ nil_Pr743626285e_name ) @ ( perm_name_pi_Rep @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV3 @ SY465 ) @ nil_Pr743626285e_name ) @ SY466 ) )
= SY466 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[519]) ).
thf(732,plain,
! [SV4: name] :
( ( ! [SY467: name,SY468: name] :
( ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV4 @ SY467 ) @ nil_Pr743626285e_name ) @ ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV4 @ SY467 ) @ nil_Pr743626285e_name ) @ SY468 ) )
= SY468 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[520]) ).
thf(733,plain,
! [SV5: name] :
( ( ! [SY469: name,SY470: pi] :
( ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV5 @ SY469 ) @ nil_Pr743626285e_name ) @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV5 @ SY469 ) @ nil_Pr743626285e_name ) @ SY470 ) )
= SY470 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[521]) ).
thf(734,plain,
! [SV6: name] :
( ( ! [SY471: late_subject] :
( ( perm_n1559866809ubject @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV6 @ SV6 ) @ nil_Pr743626285e_name ) @ SY471 )
= SY471 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[522]) ).
thf(735,plain,
! [SV7: name] :
( ( ! [SY472: late_freeRes] :
( ( perm_n336613537reeRes @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV7 @ SV7 ) @ nil_Pr743626285e_name ) @ SY472 )
= SY472 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[523]) ).
thf(736,plain,
! [SV8: name] :
( ( ! [SY473: pi_Rep] :
( ( perm_name_pi_Rep @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV8 @ SV8 ) @ nil_Pr743626285e_name ) @ SY473 )
= SY473 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[524]) ).
thf(737,plain,
! [SV9: name] :
( ( ! [SY474: name] :
( ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV9 @ SV9 ) @ nil_Pr743626285e_name ) @ SY474 )
= SY474 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[525]) ).
thf(738,plain,
! [SV10: name] :
( ( ! [SY475: pi] :
( ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV10 @ SV10 ) @ nil_Pr743626285e_name ) @ SY475 )
= SY475 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[526]) ).
thf(739,plain,
! [SV11: name] :
( ( ! [SY476: name,SY477: late_subject] :
( ( perm_n1559866809ubject @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV11 @ SY476 ) @ nil_Pr743626285e_name ) @ SY477 )
= ( perm_n1559866809ubject @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SY476 @ SV11 ) @ nil_Pr743626285e_name ) @ SY477 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[527]) ).
thf(740,plain,
! [SV12: name] :
( ( ! [SY478: name,SY479: late_freeRes] :
( ( perm_n336613537reeRes @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV12 @ SY478 ) @ nil_Pr743626285e_name ) @ SY479 )
= ( perm_n336613537reeRes @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SY478 @ SV12 ) @ nil_Pr743626285e_name ) @ SY479 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[528]) ).
thf(741,plain,
! [SV13: name] :
( ( ! [SY480: name,SY481: pi_Rep] :
( ( perm_name_pi_Rep @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV13 @ SY480 ) @ nil_Pr743626285e_name ) @ SY481 )
= ( perm_name_pi_Rep @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SY480 @ SV13 ) @ nil_Pr743626285e_name ) @ SY481 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[529]) ).
thf(742,plain,
! [SV14: name] :
( ( ! [SY482: name,SY483: name] :
( ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV14 @ SY482 ) @ nil_Pr743626285e_name ) @ SY483 )
= ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SY482 @ SV14 ) @ nil_Pr743626285e_name ) @ SY483 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[530]) ).
thf(743,plain,
! [SV15: name] :
( ( ! [SY484: name,SY485: pi] :
( ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV15 @ SY484 ) @ nil_Pr743626285e_name ) @ SY485 )
= ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SY484 @ SV15 ) @ nil_Pr743626285e_name ) @ SY485 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[531]) ).
thf(744,plain,
! [SV16: name] :
( ( ! [SY486: name,SY487: late_subject] :
( ( perm_n1559866809ubject @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV16 @ SY486 ) @ nil_Pr743626285e_name ) @ ( perm_n1559866809ubject @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV16 @ SY486 ) @ nil_Pr743626285e_name ) @ SY487 ) )
= SY487 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[532]) ).
thf(745,plain,
! [SV17: name] :
( ( ! [SY488: name,SY489: late_freeRes] :
( ( perm_n336613537reeRes @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV17 @ SY488 ) @ nil_Pr743626285e_name ) @ ( perm_n336613537reeRes @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV17 @ SY488 ) @ nil_Pr743626285e_name ) @ SY489 ) )
= SY489 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[533]) ).
thf(746,plain,
! [SV18: name] :
( ( ! [SY490: name,SY491: pi_Rep] :
( ( perm_name_pi_Rep @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV18 @ SY490 ) @ nil_Pr743626285e_name ) @ ( perm_name_pi_Rep @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV18 @ SY490 ) @ nil_Pr743626285e_name ) @ SY491 ) )
= SY491 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[534]) ).
thf(747,plain,
! [SV19: name] :
( ( ! [SY492: name,SY493: name] :
( ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV19 @ SY492 ) @ nil_Pr743626285e_name ) @ ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV19 @ SY492 ) @ nil_Pr743626285e_name ) @ SY493 ) )
= SY493 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[535]) ).
thf(748,plain,
! [SV20: name] :
( ( ! [SY494: name,SY495: pi] :
( ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV20 @ SY494 ) @ nil_Pr743626285e_name ) @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV20 @ SY494 ) @ nil_Pr743626285e_name ) @ SY495 ) )
= SY495 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[536]) ).
thf(749,plain,
! [SV21: late_subject] :
( ( ( perm_n1559866809ubject @ nil_Pr743626285e_name @ SV21 )
= SV21 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[537]) ).
thf(750,plain,
! [SV22: late_freeRes] :
( ( ( perm_n336613537reeRes @ nil_Pr743626285e_name @ SV22 )
= SV22 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[538]) ).
thf(751,plain,
! [SV23: pi_Rep] :
( ( ( perm_name_pi_Rep @ nil_Pr743626285e_name @ SV23 )
= SV23 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[539]) ).
thf(752,plain,
! [SV24: name] :
( ( ( perm_name_name @ nil_Pr743626285e_name @ SV24 )
= SV24 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[540]) ).
thf(753,plain,
! [SV25: pi] :
( ( ( perm_name_pi @ nil_Pr743626285e_name @ SV25 )
= SV25 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[541]) ).
thf(754,plain,
! [SV26: name] :
( ( ! [SY496: name,SY497: late_subject] :
( ( perm_n1559866809ubject @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV26 @ SY496 ) @ nil_Pr743626285e_name ) @ ( perm_n1559866809ubject @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SY496 @ SV26 ) @ nil_Pr743626285e_name ) @ SY497 ) )
= SY497 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[542]) ).
thf(755,plain,
! [SV27: name] :
( ( ! [SY498: name,SY499: late_freeRes] :
( ( perm_n336613537reeRes @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV27 @ SY498 ) @ nil_Pr743626285e_name ) @ ( perm_n336613537reeRes @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SY498 @ SV27 ) @ nil_Pr743626285e_name ) @ SY499 ) )
= SY499 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[543]) ).
thf(756,plain,
! [SV28: name] :
( ( ! [SY500: name,SY501: pi_Rep] :
( ( perm_name_pi_Rep @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV28 @ SY500 ) @ nil_Pr743626285e_name ) @ ( perm_name_pi_Rep @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SY500 @ SV28 ) @ nil_Pr743626285e_name ) @ SY501 ) )
= SY501 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[544]) ).
thf(757,plain,
! [SV29: name] :
( ( ! [SY502: name,SY503: name] :
( ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV29 @ SY502 ) @ nil_Pr743626285e_name ) @ ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SY502 @ SV29 ) @ nil_Pr743626285e_name ) @ SY503 ) )
= SY503 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[545]) ).
thf(758,plain,
! [SV30: name] :
( ( ! [SY504: name,SY505: pi] :
( ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV30 @ SY504 ) @ nil_Pr743626285e_name ) @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SY504 @ SV30 ) @ nil_Pr743626285e_name ) @ SY505 ) )
= SY505 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[546]) ).
thf(759,plain,
! [SV31: name] :
( ( ! [SY506: name] :
( ( ( late_BoundOutputS @ SV31 )
= ( late_BoundOutputS @ SY506 ) )
= ( SV31 = SY506 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[547]) ).
thf(760,plain,
! [SV32: name] :
( ( ! [SY507: name] :
( ( ( late_BoundOutputS @ SV32 )
= ( late_BoundOutputS @ SY507 ) )
= ( SV32 = SY507 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[548]) ).
thf(761,plain,
! [SV33: late_residual_Rep] :
( ( ( perm_n890803237al_Rep @ nil_Pr743626285e_name @ SV33 )
= SV33 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[553]) ).
thf(762,plain,
! [SV34: late_subject_Rep] :
( ( ( perm_n697952036ct_Rep @ nil_Pr743626285e_name @ SV34 )
= SV34 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[554]) ).
thf(763,plain,
! [SV35: late_freeRes_Rep] :
( ( ( perm_n1938283068es_Rep @ nil_Pr743626285e_name @ SV35 )
= SV35 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[555]) ).
thf(764,plain,
! [SV36: pi_Rep] :
( ( ( perm_name_pi_Rep @ nil_Pr743626285e_name @ SV36 )
= SV36 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[556]) ).
thf(765,plain,
! [SV37: list_P227219501e_name] :
( ( ! [SY508: name] :
( ( perm_n1559866809ubject @ SV37 @ ( late_BoundOutputS @ SY508 ) )
= ( late_BoundOutputS @ ( perm_name_name @ SV37 @ SY508 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[557]) ).
thf(766,plain,
! [SV38: list_P227219501e_name] :
( ( ! [SY509: name,SY510: pi] :
( ( perm_name_o @ SV38 @ ( fresh_name_pi @ SY509 @ SY510 ) )
= ( fresh_name_pi @ ( perm_name_name @ SV38 @ SY509 ) @ ( perm_name_pi @ SV38 @ SY510 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[572]) ).
thf(767,plain,
! [SV39: list_P227219501e_name] :
( ( ! [SY511: name,SY512: pi] :
( ( fresh_name_pi @ ( perm_name_name @ SV39 @ SY511 ) @ ( perm_name_pi @ SV39 @ SY512 ) )
= ( fresh_name_pi @ SY511 @ SY512 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[573]) ).
thf(768,plain,
! [SV40: name] :
( ( ( perm_name_name @ nil_Pr743626285e_name @ SV40 )
= SV40 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[574]) ).
thf(769,plain,
! [SV41: name] :
( ( ! [SY513: name] :
( ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV41 @ SY513 ) @ nil_Pr743626285e_name ) @ SV41 )
= SY513 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[579]) ).
thf(770,plain,
! [SV42: name] :
( ( ! [SY514: name] :
( ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV42 @ SY514 ) @ nil_Pr743626285e_name ) @ SY514 )
= SV42 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[580]) ).
thf(771,plain,
! [SV43: list_P227219501e_name] :
( ( ! [SY515: list_P227219501e_name,SY516: pi] :
( ( perm_name_pi @ SV43 @ ( perm_name_pi @ SY515 @ SY516 ) )
= ( perm_name_pi @ ( perm_n1160739829e_name @ SV43 @ SY515 ) @ ( perm_name_pi @ SV43 @ SY516 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[594]) ).
thf(772,plain,
! [SV44: list_P227219501e_name] :
( ( ! [SY517: list_P227219501e_name,SY518: pi] :
( ( perm_name_pi @ SV44 @ ( perm_name_pi @ SY517 @ SY518 ) )
= ( perm_name_pi @ ( perm_n1160739829e_name @ SV44 @ SY517 ) @ ( perm_name_pi @ SV44 @ SY518 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[595]) ).
thf(773,plain,
! [SV45: list_P227219501e_name] :
( ( ! [SY519: list_P227219501e_name,SY520: pi] :
( ( perm_name_pi @ SV45 @ ( perm_name_pi @ SY519 @ SY520 ) )
= ( perm_name_pi @ ( perm_n1160739829e_name @ SV45 @ SY519 ) @ ( perm_name_pi @ SV45 @ SY520 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[596]) ).
thf(774,plain,
! [SV46: list_P227219501e_name] :
( ( ! [SY521: pi,SY522: pi] :
( ( ( perm_name_pi @ SV46 @ SY521 )
= ( perm_name_pi @ SV46 @ SY522 ) )
= ( SY521 = SY522 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[597]) ).
thf(775,plain,
! [SV47: list_P227219501e_name] :
( ( ! [SY523: pi > late_subject,SY524: pi] :
( ( perm_n1559866809ubject @ SV47 @ ( SY523 @ SY524 ) )
= ( perm_n190055296ubject @ SV47 @ SY523 @ ( perm_name_pi @ SV47 @ SY524 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[598]) ).
thf(776,plain,
! [SV48: list_P227219501e_name] :
( ( ! [SY525: pi > late_freeRes,SY526: pi] :
( ( perm_n336613537reeRes @ SV48 @ ( SY525 @ SY526 ) )
= ( perm_n1333244520reeRes @ SV48 @ SY525 @ ( perm_name_pi @ SV48 @ SY526 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[599]) ).
thf(777,plain,
! [SV49: list_P227219501e_name] :
( ( ! [SY527: pi,SY528: set_pi] :
( ( perm_name_o @ SV49 @ ( member_pi @ SY527 @ SY528 ) )
= ( member_pi @ ( perm_name_pi @ SV49 @ SY527 ) @ ( perm_name_set_pi @ SV49 @ SY528 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[600]) ).
thf(778,plain,
! [SV50: list_P227219501e_name] :
( ( ! [SY529: pi,SY530: pi] :
( ( perm_name_o @ SV50 @ ( SY529 = SY530 ) )
= ( ( perm_name_pi @ SV50 @ SY529 )
= ( perm_name_pi @ SV50 @ SY530 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[601]) ).
thf(779,plain,
! [SV51: name] :
( ( ! [SY531: name] :
( ( member695284560e_name @ ( produc1570949143e_name @ SV51 @ SY531 ) @ id_name )
= ( SV51 = SY531 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[619]) ).
thf(780,plain,
! [SV52: name] :
( ( member695284560e_name @ ( produc1570949143e_name @ SV52 @ SV52 ) @ id_name )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[620]) ).
thf(781,plain,
! [SV53: name] :
( ( ! [SY532: name] :
( ( fresh_717452603ubject @ SV53 @ ( late_BoundOutputS @ SY532 ) )
= ( fresh_name_name @ SV53 @ SY532 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[627]) ).
thf(782,plain,
! [SV54: list_P227219501e_name] :
( ( ! [SY533: late_subject,SY534: pi] :
( ( perm_n359102898ect_pi @ SV54 @ ( produc324947500ect_pi @ SY533 @ SY534 ) )
= ( produc324947500ect_pi @ ( perm_n1559866809ubject @ SV54 @ SY533 ) @ ( perm_name_pi @ SV54 @ SY534 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[632]) ).
thf(783,plain,
! [SV55: list_P227219501e_name] :
( ( ! [SY535: late_freeRes,SY536: pi] :
( ( perm_n1211707594Res_pi @ SV55 @ ( produc1177552196Res_pi @ SY535 @ SY536 ) )
= ( produc1177552196Res_pi @ ( perm_n336613537reeRes @ SV55 @ SY535 ) @ ( perm_name_pi @ SV55 @ SY536 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[633]) ).
thf(784,plain,
! [SV56: list_P227219501e_name] :
( ( ! [SY537: pi,SY538: list_pi] :
( ( perm_name_list_pi @ SV56 @ ( cons_pi @ SY537 @ SY538 ) )
= ( cons_pi @ ( perm_name_pi @ SV56 @ SY537 ) @ ( perm_name_list_pi @ SV56 @ SY538 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[634]) ).
thf(785,plain,
! [SV57: list_P227219501e_name] :
( ( ! [SY539: pi,SY540: pi] :
( ( perm_name_pi @ SV57 @ ( sum @ SY539 @ SY540 ) )
= ( sum @ ( perm_name_pi @ SV57 @ SY539 ) @ ( perm_name_pi @ SV57 @ SY540 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[642]) ).
thf(786,plain,
! [SV58: list_P227219501e_name] :
( ( ! [SY541: name,SY542: pi] :
( ( perm_name_pi @ SV58 @ ( res @ SY541 @ SY542 ) )
= ( res @ ( perm_name_name @ SV58 @ SY541 ) @ ( perm_name_pi @ SV58 @ SY542 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[643]) ).
thf(787,plain,
! [SV59: list_P227219501e_name] :
( ( ! [SY543: late_freeRes,SY544: pi] :
( ( perm_n414416632sidual @ SV59 @ ( late_FreeR @ SY543 @ SY544 ) )
= ( late_FreeR @ ( perm_n336613537reeRes @ SV59 @ SY543 ) @ ( perm_name_pi @ SV59 @ SY544 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[648]) ).
thf(788,plain,
! [SV60: list_P227219501e_name] :
( ( ! [SY545: name,SY546: name,SY547: pi] :
( ( perm_name_pi @ SV60 @ ( input @ SY545 @ SY546 @ SY547 ) )
= ( input @ ( perm_name_name @ SV60 @ SY545 ) @ ( perm_name_name @ SV60 @ SY546 ) @ ( perm_name_pi @ SV60 @ SY547 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[650]) ).
thf(789,plain,
! [SV61: name] :
( ( ! [SY548: name,SY549: pi,SY550: name,SY551: name,SY552: pi] :
~ ( late_transitions @ ( input @ SV61 @ SY548 @ SY549 ) @ ( late_BoundR @ ( late_BoundOutputS @ SY550 ) @ SY551 @ SY552 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[651]) ).
thf(790,plain,
! [SV62: name] :
( ( ! [SY553: name,SY554: list_P227219501e_name,SY555: name] :
( ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV62 @ SY553 ) @ SY554 ) @ SY555 )
= ( swap_name @ ( produc1570949143e_name @ SV62 @ SY553 ) @ ( perm_name_name @ SY554 @ SY555 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[652]) ).
thf(791,plain,
! [SV63: $o] :
( ( ( SV63 = $true )
| ( SV63 = $false ) )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[654]) ).
thf(792,plain,
( ( ( $true = $true )
| ( $true = $false ) )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[654]) ).
thf(793,plain,
( ( ( $false = $true )
| ( $false = $false ) )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[654]) ).
thf(794,plain,
( ( strong2129052853vative @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ y @ x ) @ nil_Pr743626285e_name ) @ p2 ) @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ y @ x ) @ nil_Pr743626285e_name ) @ p2 ) @ ( late_BoundOutputS @ aa ) @ y @ rel )
= $false ),
inference(extcnf_not_pos,[status(thm)],[655]) ).
thf(795,plain,
! [SV64: list_P227219501e_name > list_P227219501e_name > $o] :
( ( ! [SY556: list_P227219501e_name,SY557: list_P227219501e_name] :
( ~ ! [SY558: list_P227219501e_name] : ( SV64 @ nil_Pr743626285e_name @ SY558 )
| ~ ! [SY559: produc367475239e_name,SY560: list_P227219501e_name,SY561: list_P227219501e_name] :
( ~ ( SV64 @ SY561 @ SY560 )
| ( SV64 @ ( cons_P1213805021e_name @ SY559 @ SY560 ) @ SY561 ) )
| ( SV64 @ SY556 @ SY557 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[656]) ).
thf(796,plain,
! [SV65: list_P227219501e_name > list_P227219501e_name > $o] :
( ( ! [SY562: list_P227219501e_name,SY563: list_P227219501e_name] :
( ~ ( SV65 @ nil_Pr743626285e_name @ nil_Pr743626285e_name )
| ~ ! [SY564: produc367475239e_name,SY565: list_P227219501e_name] : ( SV65 @ ( cons_P1213805021e_name @ SY564 @ SY565 ) @ nil_Pr743626285e_name )
| ~ ! [SY566: produc367475239e_name,SY567: list_P227219501e_name] : ( SV65 @ nil_Pr743626285e_name @ ( cons_P1213805021e_name @ SY566 @ SY567 ) )
| ~ ! [SY568: produc367475239e_name,SY569: list_P227219501e_name,SY570: produc367475239e_name,SY571: list_P227219501e_name] :
( ~ ( SV65 @ SY569 @ SY571 )
| ( SV65 @ ( cons_P1213805021e_name @ SY568 @ SY569 ) @ ( cons_P1213805021e_name @ SY570 @ SY571 ) ) )
| ( SV65 @ SY562 @ SY563 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[657]) ).
thf(797,plain,
! [SV66: pi] :
( ( ! [SY572: pi,SY573: list_P227219501e_name] :
( ( SV66 != SY572 )
| ( ( perm_name_pi @ SY573 @ SV66 )
= ( perm_name_pi @ SY573 @ SY572 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[658]) ).
thf(798,plain,
! [SV67: pi] :
( ( ! [SY574: set_Pr1834926343_pi_pi,SY575: pi,SY576: set_Pr1834926343_pi_pi,SY577: list_P227219501e_name] :
( ~ ( strong743114133lation @ SV67 @ SY574 @ SY575 )
| ~ ( ord_le630093991_pi_pi @ SY574 @ SY576 )
| ~ ( eqvt_pi @ SY576 )
| ( strong743114133lation @ ( perm_name_pi @ SY577 @ SV67 ) @ SY576 @ ( perm_name_pi @ SY577 @ SY575 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[659]) ).
thf(799,plain,
! [SV68: name] :
( ( ! [SY578: list_P227219501e_name,SY579: pi] :
( ~ ( fresh_922791155e_name @ SV68 @ SY578 )
| ~ ( fresh_name_pi @ SV68 @ SY579 )
| ( fresh_name_pi @ SV68 @ ( perm_name_pi @ SY578 @ SY579 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[660]) ).
thf(800,plain,
! [SV69: list_P227219501e_name] :
( ( ~ ( ( SV69 != nil_Pr743626285e_name ) )
| ~ ! [SY580: produc367475239e_name] :
( SV69
!= ( cons_P1213805021e_name @ SY580 @ nil_Pr743626285e_name ) )
| ~ ! [SY581: produc367475239e_name,SY582: produc367475239e_name,SY583: list_P227219501e_name] :
( SV69
!= ( cons_P1213805021e_name @ SY581 @ ( cons_P1213805021e_name @ SY582 @ SY583 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[661]) ).
thf(801,plain,
! [SV70: ( produc367475239e_name > produc367475239e_name > $o ) > list_P227219501e_name > $o] :
( ( ! [SY584: produc367475239e_name > produc367475239e_name > $o,SY585: list_P227219501e_name] :
( ~ ! [SY586: produc367475239e_name > produc367475239e_name > $o] : ( SV70 @ SY586 @ nil_Pr743626285e_name )
| ~ ! [SY587: produc367475239e_name > produc367475239e_name > $o,SY588: produc367475239e_name,SY589: list_P227219501e_name] :
( ~ ( SV70 @ SY587 @ SY589 )
| ( SV70 @ SY587 @ ( cons_P1213805021e_name @ SY588 @ SY589 ) ) )
| ( SV70 @ SY584 @ SY585 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[662]) ).
thf(802,plain,
( ( y = x )
= $false ),
inference(extcnf_not_pos,[status(thm)],[663]) ).
thf(803,plain,
! [SV71: ( produc367475239e_name > produc367475239e_name ) > list_P227219501e_name > list_P227219501e_name > $o] :
( ( ! [SY590: produc367475239e_name > produc367475239e_name,SY591: list_P227219501e_name,SY592: list_P227219501e_name] :
( ~ ! [SY593: produc367475239e_name > produc367475239e_name,SY594: list_P227219501e_name] : ( SV71 @ SY593 @ nil_Pr743626285e_name @ SY594 )
| ~ ! [SY595: produc367475239e_name > produc367475239e_name,SY596: produc367475239e_name,SY597: list_P227219501e_name,SY598: list_P227219501e_name] :
( ~ ( SV71 @ SY595 @ SY597 @ ( cons_P1213805021e_name @ ( SY595 @ SY596 ) @ SY598 ) )
| ( SV71 @ SY595 @ ( cons_P1213805021e_name @ SY596 @ SY597 ) @ SY598 ) )
| ( SV71 @ SY590 @ SY591 @ SY592 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[664]) ).
thf(804,plain,
! [SV72: list_l1406151091e_name] :
( ( ~ ( ( SV72 != nil_li29751603e_name ) )
| ~ ! [SY599: list_l1406151091e_name] :
( SV72
!= ( cons_l798145763e_name @ nil_Pr743626285e_name @ SY599 ) )
| ~ ! [SY600: produc367475239e_name,SY601: list_P227219501e_name,SY602: list_l1406151091e_name] :
( SV72
!= ( cons_l798145763e_name @ ( cons_P1213805021e_name @ SY600 @ SY601 ) @ SY602 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[665]) ).
thf(805,plain,
! [SV73: produc367475239e_name] :
( ( ~ ! [SY603: name,SY604: name] :
( SV73
!= ( produc1570949143e_name @ SY603 @ SY604 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[666]) ).
thf(806,plain,
! [SV74: $o] :
( ( ! [SY605: list_P227219501e_name,SY606: pi,SY607: pi] :
~ ( ~ ( ~ SV74
| ( ( perm_name_pi @ SY605 @ ( if_pi @ SV74 @ SY606 @ SY607 ) )
= ( perm_name_pi @ SY605 @ SY606 ) ) )
| ~ ( ~ ~ SV74
| ( ( perm_name_pi @ SY605 @ ( if_pi @ SV74 @ SY606 @ SY607 ) )
= ( perm_name_pi @ SY605 @ SY607 ) ) ) ) )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[667]) ).
thf(807,plain,
( ( ! [SX0: list_P227219501e_name,SX1: pi,SX2: pi] :
~ ( ~ ( ~ $true
| ( ( perm_name_pi @ SX0 @ ( if_pi @ $true @ SX1 @ SX2 ) )
= ( perm_name_pi @ SX0 @ SX1 ) ) )
| ~ ( ~ ~ $true
| ( ( perm_name_pi @ SX0 @ ( if_pi @ $true @ SX1 @ SX2 ) )
= ( perm_name_pi @ SX0 @ SX2 ) ) ) ) )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[667]) ).
thf(808,plain,
( ( ! [SX0: list_P227219501e_name,SX1: pi,SX2: pi] :
~ ( ~ ( ~ $false
| ( ( perm_name_pi @ SX0 @ ( if_pi @ $false @ SX1 @ SX2 ) )
= ( perm_name_pi @ SX0 @ SX1 ) ) )
| ~ ( ~ ~ $false
| ( ( perm_name_pi @ SX0 @ ( if_pi @ $false @ SX1 @ SX2 ) )
= ( perm_name_pi @ SX0 @ SX2 ) ) ) ) )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[667]) ).
thf(809,plain,
! [SV75: name] :
( ( ! [SY608: name,SY609: name] :
( ~ ( fresh_441084397e_name @ SV75 @ ( produc1570949143e_name @ SY608 @ SY609 ) )
| ( fresh_name_name @ SV75 @ SY609 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[668]) ).
thf(810,plain,
! [SV76: name] :
( ( ! [SY610: name,SY611: name,SY612: name] :
( ( ( produc1570949143e_name @ SV76 @ SY610 )
= ( produc1570949143e_name @ SY611 @ SY612 ) )
= ( ~ ( ( SV76 != SY611 )
| ( SY610 != SY612 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[669]) ).
thf(811,plain,
! [SV77: name] :
( ( ! [SY613: name,SY614: name,SY615: name] :
( ( ( produc1570949143e_name @ SV77 @ SY613 )
!= ( produc1570949143e_name @ SY614 @ SY615 ) )
| ~ ( ( SV77 != SY614 )
| ( SY613 != SY615 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[670]) ).
thf(812,plain,
! [SV78: set_Pr1834926343_pi_pi] :
( ( ! [SY616: pi,SY617: pi,SY618: list_P227219501e_name] :
( ~ ( eqvt_pi @ SV78 )
| ~ ( member558706512_pi_pi @ ( product_Pair_pi_pi @ SY616 @ SY617 ) @ SV78 )
| ( member558706512_pi_pi @ ( product_Pair_pi_pi @ ( perm_name_pi @ SY618 @ SY616 ) @ ( perm_name_pi @ SY618 @ SY617 ) ) @ SV78 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[671]) ).
thf(813,plain,
! [SV79: produc890461031e_name] :
( ( ~ ! [SY619: list_P227219501e_name] :
( SV79
!= ( produc208131031e_name @ nil_Pr743626285e_name @ SY619 ) )
| ~ ! [SY620: list_P227219501e_name] :
( SV79
!= ( produc208131031e_name @ SY620 @ nil_Pr743626285e_name ) )
| ~ ! [SY621: produc367475239e_name,SY622: list_P227219501e_name,SY623: produc367475239e_name,SY624: list_P227219501e_name] :
( SV79
!= ( produc208131031e_name @ ( cons_P1213805021e_name @ SY621 @ SY622 ) @ ( cons_P1213805021e_name @ SY623 @ SY624 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[672]) ).
thf(814,plain,
! [SV80: set_Pr443758855e_name] :
( ( ! [SY625: set_Pr443758855e_name] :
( ~ ! [SY626: name,SY627: name] :
( ~ ( member695284560e_name @ ( produc1570949143e_name @ SY626 @ SY627 ) @ SV80 )
| ( member695284560e_name @ ( produc1570949143e_name @ SY626 @ SY627 ) @ SY625 ) )
| ( ord_le793202855e_name @ SV80 @ SY625 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[673]) ).
thf(815,plain,
! [SV81: name] :
( ( ! [SY628: name,SY629: late_subject,SY630: name] :
( ~ ( ( SV81 != SY628 ) )
| ~ ( fresh_717452603ubject @ SY628 @ SY629 )
| ~ ( fresh_717452603ubject @ SV81 @ SY629 )
| ( fresh_717452603ubject @ SV81 @ ( perm_n1559866809ubject @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SY628 @ SY630 ) @ nil_Pr743626285e_name ) @ SY629 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[674]) ).
thf(816,plain,
! [SV82: produc367475239e_name] :
( ( ! [SY631: list_P227219501e_name] :
( ( cons_P1213805021e_name @ SV82 @ SY631 )
!= SY631 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[675]) ).
thf(817,plain,
! [SV83: name] :
( ( ! [SY632: name,SY633: pi,SY634: name] :
( ~ ( ( SV83 != SY632 ) )
| ~ ( fresh_name_pi @ SY632 @ SY633 )
| ~ ( fresh_name_pi @ SV83 @ SY633 )
| ( fresh_name_pi @ SV83 @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SY632 @ SY634 ) @ nil_Pr743626285e_name ) @ SY633 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[676]) ).
thf(818,plain,
! [SV84: name] :
( ( ! [SY635: pi,SY636: name] :
( ~ ( fresh_name_pi @ SV84 @ SY635 )
| ~ ( fresh_name_pi @ SY636 @ SY635 )
| ( ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV84 @ SY636 ) @ nil_Pr743626285e_name ) @ SY635 )
= SY635 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[677]) ).
thf(819,plain,
! [SV85: list_P227219501e_name] :
( ( ~ ( ( SV85 != nil_Pr743626285e_name ) )
| ~ ! [SY637: produc367475239e_name,SY638: list_P227219501e_name] :
( SV85
!= ( cons_P1213805021e_name @ SY637 @ SY638 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[678]) ).
thf(820,plain,
! [SV86: list_P227219501e_name > $o] :
( ( ~ ! [SY639: list_P227219501e_name] : ( SV86 @ SY639 )
| ( SV86 @ nil_Pr743626285e_name ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[679]) ).
thf(821,plain,
! [SV87: name] :
( ( ! [SY640: name,SY641: name] :
( ~ ( ( SV87 != SY640 ) )
| ~ ( ( SY641 != SY640 ) )
| ( ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV87 @ SY641 ) @ nil_Pr743626285e_name ) @ SY640 )
= SY640 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[680]) ).
thf(822,plain,
! [SV88: pi] :
( ( ! [SY642: pi,SY643: late_subject,SY644: name,SY645: set_Pr1834926343_pi_pi,SY646: set_Pr1834926343_pi_pi] :
( ~ ( strong2129052853vative @ SV88 @ SY642 @ SY643 @ SY644 @ SY645 )
| ~ ( ord_le630093991_pi_pi @ SY645 @ SY646 )
| ( strong2129052853vative @ SV88 @ SY642 @ SY643 @ SY644 @ SY646 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[681]) ).
thf(823,plain,
! [SV89: ( produc367475239e_name > produc367475239e_name > $o ) > list_P227219501e_name > $o] :
( ( ! [SY647: produc367475239e_name > produc367475239e_name > $o,SY648: list_P227219501e_name] :
( ~ ! [SY649: produc367475239e_name > produc367475239e_name > $o] : ( SV89 @ SY649 @ nil_Pr743626285e_name )
| ~ ! [SY650: produc367475239e_name > produc367475239e_name > $o,SY651: produc367475239e_name] : ( SV89 @ SY650 @ ( cons_P1213805021e_name @ SY651 @ nil_Pr743626285e_name ) )
| ~ ! [SY652: produc367475239e_name > produc367475239e_name > $o,SY653: produc367475239e_name,SY654: produc367475239e_name,SY655: list_P227219501e_name] :
( ~ ( SV89 @ SY652 @ ( cons_P1213805021e_name @ SY654 @ SY655 ) )
| ( SV89 @ SY652 @ ( cons_P1213805021e_name @ SY653 @ ( cons_P1213805021e_name @ SY654 @ SY655 ) ) ) )
| ( SV89 @ SY647 @ SY648 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[682]) ).
thf(824,plain,
! [SV90: pi] :
( ( ! [SY656: pi,SY657: late_subject,SY658: name,SY659: set_Pr1834926343_pi_pi,SY660: list_P227219501e_name] :
( ~ ( strong2129052853vative @ SV90 @ SY656 @ SY657 @ SY658 @ SY659 )
| ~ ( eqvt_pi @ SY659 )
| ( strong2129052853vative @ ( perm_name_pi @ SY660 @ SV90 ) @ ( perm_name_pi @ SY660 @ SY656 ) @ SY657 @ ( perm_name_name @ SY660 @ SY658 ) @ SY659 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[683]) ).
thf(825,plain,
! [SV91: list_P227219501e_name] :
( ( ! [SY661: list_P227219501e_name > $o] :
( ~ ( ( SV91 != nil_Pr743626285e_name ) )
| ~ ! [SX2: produc367475239e_name] : ( SY661 @ ( cons_P1213805021e_name @ SX2 @ nil_Pr743626285e_name ) )
| ~ ! [SX2: produc367475239e_name,SX3: list_P227219501e_name] :
( ~ ( ( SX3 != nil_Pr743626285e_name ) )
| ~ ( SY661 @ SX3 )
| ( SY661 @ ( cons_P1213805021e_name @ SX2 @ SX3 ) ) )
| ( SY661 @ SV91 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[684]) ).
thf(826,plain,
! [SV92: set_Pr1834926343_pi_pi] :
( ( ! [SY665: list_P227219501e_name,SY666: pi,SY667: pi] :
( ~ ( eqvt_pi @ SV92 )
| ~ ( member558706512_pi_pi @ ( product_Pair_pi_pi @ ( perm_name_pi @ SY665 @ SY666 ) @ ( perm_name_pi @ SY665 @ SY667 ) ) @ SV92 )
| ( member558706512_pi_pi @ ( product_Pair_pi_pi @ SY666 @ SY667 ) @ SV92 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[685]) ).
thf(827,plain,
! [SV93: name] :
( ( ! [SY668: produc1141751126_pi_pi,SY669: name] :
( ~ ( fresh_1376661020_pi_pi @ SV93 @ SY668 )
| ~ ( fresh_1376661020_pi_pi @ SY669 @ SY668 )
| ( ( perm_n1255502110_pi_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV93 @ SY669 ) @ nil_Pr743626285e_name ) @ SY668 )
= SY668 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[686]) ).
thf(828,plain,
! [SV94: name] :
( ( ! [SY670: name,SY671: name,SY672: name] :
( ~ ( ( SV94 != SY670 ) )
| ~ ( fresh_name_name @ SY670 @ SY671 )
| ~ ( fresh_name_name @ SV94 @ SY671 )
| ( fresh_name_name @ SV94 @ ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SY670 @ SY672 ) @ nil_Pr743626285e_name ) @ SY671 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[687]) ).
thf(829,plain,
! [SV95: name] :
( ( ! [SY673: name,SY674: late_freeRes,SY675: name] :
( ~ ( ( SV95 != SY673 ) )
| ~ ( fresh_1641682979reeRes @ SY673 @ SY674 )
| ~ ( fresh_1641682979reeRes @ SV95 @ SY674 )
| ( fresh_1641682979reeRes @ SV95 @ ( perm_n336613537reeRes @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SY673 @ SY675 ) @ nil_Pr743626285e_name ) @ SY674 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[688]) ).
thf(830,plain,
! [SV96: produc1872410278e_name] :
( ( ~ ! [SY676: produc367475239e_name > produc367475239e_name > $o] :
( SV96
!= ( produc1069608854e_name @ SY676 @ nil_Pr743626285e_name ) )
| ~ ! [SY677: produc367475239e_name > produc367475239e_name > $o,SY678: produc367475239e_name] :
( SV96
!= ( produc1069608854e_name @ SY677 @ ( cons_P1213805021e_name @ SY678 @ nil_Pr743626285e_name ) ) )
| ~ ! [SY679: produc367475239e_name > produc367475239e_name > $o,SY680: produc367475239e_name,SY681: produc367475239e_name,SY682: list_P227219501e_name] :
( SV96
!= ( produc1069608854e_name @ SY679 @ ( cons_P1213805021e_name @ SY680 @ ( cons_P1213805021e_name @ SY681 @ SY682 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[689]) ).
thf(831,plain,
! [SV97: list_P227219501e_name > list_P227219501e_name > $o] :
( ( ! [SY683: list_P227219501e_name,SY684: list_P227219501e_name] :
( ~ ! [SY685: list_P227219501e_name] : ( SV97 @ nil_Pr743626285e_name @ SY685 )
| ~ ! [SY686: list_P227219501e_name] : ( SV97 @ SY686 @ nil_Pr743626285e_name )
| ~ ! [SY687: produc367475239e_name,SY688: list_P227219501e_name,SY689: produc367475239e_name,SY690: list_P227219501e_name] :
( ~ ( SV97 @ SY688 @ ( cons_P1213805021e_name @ SY689 @ SY690 ) )
| ~ ( SV97 @ ( cons_P1213805021e_name @ SY687 @ SY688 ) @ SY690 )
| ( SV97 @ ( cons_P1213805021e_name @ SY687 @ SY688 ) @ ( cons_P1213805021e_name @ SY689 @ SY690 ) ) )
| ( SV97 @ SY683 @ SY684 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[690]) ).
thf(832,plain,
! [SV98: name] :
( ( ! [SY691: name,SY692: pi_Rep,SY693: name] :
( ~ ( ( SV98 != SY691 ) )
| ~ ( fresh_name_pi_Rep @ SY691 @ SY692 )
| ~ ( fresh_name_pi_Rep @ SV98 @ SY692 )
| ( fresh_name_pi_Rep @ SV98 @ ( perm_name_pi_Rep @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SY691 @ SY693 ) @ nil_Pr743626285e_name ) @ SY692 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[691]) ).
thf(833,plain,
! [SV99: name] :
( ( ! [SY694: late_freeRes,SY695: name] :
( ~ ( fresh_1641682979reeRes @ SV99 @ SY694 )
| ~ ( fresh_1641682979reeRes @ SY695 @ SY694 )
| ( ( perm_n336613537reeRes @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV99 @ SY695 ) @ nil_Pr743626285e_name ) @ SY694 )
= SY694 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[692]) ).
thf(834,plain,
! [SV100: list_P227219501e_name] :
( ( ! [SY696: produc367475239e_name,SY697: list_P227219501e_name] :
( ( SV100
!= ( cons_P1213805021e_name @ SY696 @ SY697 ) )
| ( SV100 != nil_Pr743626285e_name ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[693]) ).
thf(835,plain,
! [SV101: name] :
( ( ! [SY698: name] :
( ( late_InputS @ SV101 )
!= ( late_BoundOutputS @ SY698 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[694]) ).
thf(836,plain,
! [SV102: set_Pr443758855e_name] :
( ( ! [SY699: name,SY700: name,SY701: list_P227219501e_name] :
( ~ ( eqvt_name @ SV102 )
| ~ ( member695284560e_name @ ( produc1570949143e_name @ SY699 @ SY700 ) @ SV102 )
| ( member695284560e_name @ ( produc1570949143e_name @ ( perm_name_name @ SY701 @ SY699 ) @ ( perm_name_name @ SY701 @ SY700 ) ) @ SV102 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[695]) ).
thf(837,plain,
! [SV103: produc1872410278e_name] :
( ( ~ ! [SY702: produc367475239e_name > produc367475239e_name > $o] :
( SV103
!= ( produc1069608854e_name @ SY702 @ nil_Pr743626285e_name ) )
| ~ ! [SY703: produc367475239e_name > produc367475239e_name > $o,SY704: produc367475239e_name,SY705: list_P227219501e_name] :
( SV103
!= ( produc1069608854e_name @ SY703 @ ( cons_P1213805021e_name @ SY704 @ SY705 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[696]) ).
thf(838,plain,
! [SV104: list_P227219501e_name > $o] :
( ( ! [SY706: list_P227219501e_name] :
( ~ ( SV104 @ nil_Pr743626285e_name )
| ~ ! [SY707: produc367475239e_name,SY708: list_P227219501e_name] :
( ~ ( SV104 @ SY708 )
| ( SV104 @ ( cons_P1213805021e_name @ SY707 @ SY708 ) ) )
| ( SV104 @ SY706 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[697]) ).
thf(839,plain,
! [SV105: list_P227219501e_name] :
( ( ! [SY709: $o,SY710: pi,SY711: pi] :
~ ( ~ ( ~ ( perm_name_o @ SV105 @ SY709 )
| ( ( perm_name_pi @ SV105 @ ( if_pi @ SY709 @ SY710 @ SY711 ) )
= ( perm_name_pi @ SV105 @ SY710 ) ) )
| ~ ( ~ ~ ( perm_name_o @ SV105 @ SY709 )
| ( ( perm_name_pi @ SV105 @ ( if_pi @ SY709 @ SY710 @ SY711 ) )
= ( perm_name_pi @ SV105 @ SY711 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[698]) ).
thf(840,plain,
! [SV106: name] :
( ( ! [SY712: produc1141751126_pi_pi,SY713: name] :
( ~ ( fresh_1376661020_pi_pi @ SV106 @ SY712 )
| ~ ( fresh_1376661020_pi_pi @ SY713 @ SY712 )
| ( ( perm_n1255502110_pi_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV106 @ SY713 ) @ nil_Pr743626285e_name ) @ SY712 )
= SY712 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[699]) ).
thf(841,plain,
( ( aa = x )
= $false ),
inference(extcnf_not_pos,[status(thm)],[700]) ).
thf(842,plain,
! [SV107: produc367475239e_name] :
( ( ~ ( member695284560e_name @ SV107 @ id_name )
| ~ ! [SY714: name] :
( SV107
!= ( produc1570949143e_name @ SY714 @ SY714 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[701]) ).
thf(843,plain,
! [SV108: name] :
( ( ! [SY715: pi,SY716: name] :
( ~ ( fresh_name_pi @ SV108 @ SY715 )
| ( ( res @ SY716 @ SY715 )
= ( res @ SV108 @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SY716 @ SV108 ) @ nil_Pr743626285e_name ) @ SY715 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[702]) ).
thf(844,plain,
! [SV109: list_P227219501e_name] :
( ( ( SV109 != nil_Pr743626285e_name )
= ( ~ ! [SY717: produc367475239e_name] :
~ ~ ! [SY718: list_P227219501e_name] :
( SV109
!= ( cons_P1213805021e_name @ SY717 @ SY718 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[703]) ).
thf(845,plain,
! [SV110: name] :
( ( ! [SY719: late_freeRes,SY720: name] :
( ~ ( fresh_1641682979reeRes @ SV110 @ SY719 )
| ~ ( fresh_1641682979reeRes @ SY720 @ SY719 )
| ( ( perm_n336613537reeRes @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV110 @ SY720 ) @ nil_Pr743626285e_name ) @ SY719 )
= SY719 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[704]) ).
thf(846,plain,
! [SV111: name] :
( ( ! [SY721: name,SY722: name] :
( ~ ( fresh_name_name @ SV111 @ SY721 )
| ~ ( fresh_name_name @ SY722 @ SY721 )
| ( ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV111 @ SY722 ) @ nil_Pr743626285e_name ) @ SY721 )
= SY721 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[705]) ).
thf(847,plain,
! [SV112: name] :
( ( ! [SY723: pi,SY724: late_subject,SY725: name] :
( ~ ( fresh_name_pi @ SV112 @ SY723 )
| ( ( late_BoundR @ SY724 @ SY725 @ SY723 )
= ( late_BoundR @ SY724 @ SV112 @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SY725 @ SV112 ) @ nil_Pr743626285e_name ) @ SY723 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[706]) ).
thf(848,plain,
! [SV113: name] :
( ( ! [SY726: pi,SY727: name,SY728: name] :
( ~ ( fresh_name_pi @ SV113 @ SY726 )
| ( ( input @ SY727 @ SY728 @ SY726 )
= ( input @ SY727 @ SV113 @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SY728 @ SV113 ) @ nil_Pr743626285e_name ) @ SY726 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[707]) ).
thf(849,plain,
! [SV114: name] :
( ( ! [SY729: pi_Rep,SY730: name] :
( ~ ( fresh_name_pi_Rep @ SV114 @ SY729 )
| ~ ( fresh_name_pi_Rep @ SY730 @ SY729 )
| ( ( perm_name_pi_Rep @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV114 @ SY730 ) @ nil_Pr743626285e_name ) @ SY729 )
= SY729 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[708]) ).
thf(850,plain,
! [SV115: name] :
( ( ! [SY731: name,SY732: name] :
( ~ ( fresh_441084397e_name @ SV115 @ ( produc1570949143e_name @ SY731 @ SY732 ) )
| ( fresh_name_name @ SV115 @ SY731 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[709]) ).
thf(851,plain,
! [SV116: produc367475239e_name] :
( ( ~ ! [SY733: name] :
~ ~ ! [SY734: name] :
( SV116
!= ( produc1570949143e_name @ SY733 @ SY734 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[710]) ).
thf(852,plain,
! [SV117: list_P227219501e_name > $o] :
( ( ! [SY735: list_P227219501e_name] :
( ~ ( SV117 @ nil_Pr743626285e_name )
| ~ ! [SY736: produc367475239e_name] : ( SV117 @ ( cons_P1213805021e_name @ SY736 @ nil_Pr743626285e_name ) )
| ~ ! [SY737: produc367475239e_name,SY738: produc367475239e_name,SY739: list_P227219501e_name] :
( ~ ( SV117 @ SY739 )
| ~ ( SV117 @ ( cons_P1213805021e_name @ SY738 @ SY739 ) )
| ( SV117 @ ( cons_P1213805021e_name @ SY737 @ ( cons_P1213805021e_name @ SY738 @ SY739 ) ) ) )
| ( SV117 @ SY735 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[711]) ).
thf(853,plain,
! [SV118: produc890461031e_name] :
( ( ~ ! [SY740: list_P227219501e_name] :
( SV118
!= ( produc208131031e_name @ nil_Pr743626285e_name @ SY740 ) )
| ~ ! [SY741: produc367475239e_name,SY742: list_P227219501e_name,SY743: list_P227219501e_name] :
( SV118
!= ( produc208131031e_name @ ( cons_P1213805021e_name @ SY741 @ SY742 ) @ SY743 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[712]) ).
thf(854,plain,
! [SV119: name] :
( ( ! [SY744: name,SY745: name,SY746: name] :
( ( ( produc1570949143e_name @ SV119 @ SY744 )
= ( produc1570949143e_name @ SY745 @ SY746 ) )
= ( ~ ( ( SV119 != SY745 )
| ( SY744 != SY746 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[713]) ).
thf(855,plain,
! [SV120: name] :
( ( ! [SY747: late_subject,SY748: name] :
( ~ ( fresh_717452603ubject @ SV120 @ SY747 )
| ~ ( fresh_717452603ubject @ SY748 @ SY747 )
| ( ( perm_n1559866809ubject @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV120 @ SY748 ) @ nil_Pr743626285e_name ) @ SY747 )
= SY747 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[714]) ).
thf(856,plain,
! [SV121: pi] :
( ( ! [SY749: pi,SY750: late_subject,SY751: name,SY752: set_Pr1834926343_pi_pi,SY753: list_P227219501e_name] :
( ~ ( strong2129052853vative @ SV121 @ SY749 @ SY750 @ SY751 @ SY752 )
| ~ ( eqvt_pi @ SY752 )
| ( strong2129052853vative @ ( perm_name_pi @ SY753 @ SV121 ) @ ( perm_name_pi @ SY753 @ SY749 ) @ ( perm_n1559866809ubject @ SY753 @ SY750 ) @ ( perm_name_name @ SY753 @ SY751 ) @ SY752 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[715]) ).
thf(857,plain,
! [SV122: produc367475239e_name > $o] :
( ( ! [SY754: produc367475239e_name] :
( ~ ! [SY755: name,SY756: name] : ( SV122 @ ( produc1570949143e_name @ SY755 @ SY756 ) )
| ( SV122 @ SY754 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[716]) ).
thf(858,plain,
! [SV123: list_P227219501e_name > $o] :
( ( ! [SY757: list_P227219501e_name] :
( ~ ( SV123 @ nil_Pr743626285e_name )
| ~ ! [SY758: produc367475239e_name] : ( SV123 @ ( cons_P1213805021e_name @ SY758 @ nil_Pr743626285e_name ) )
| ~ ! [SY759: produc367475239e_name,SY760: produc367475239e_name,SY761: list_P227219501e_name] :
( ~ ( ( SY759 != SY760 )
| ( SV123 @ ( cons_P1213805021e_name @ SY759 @ SY761 ) ) )
| ~ ( ~ ( ( SY759 != SY760 ) )
| ( SV123 @ ( cons_P1213805021e_name @ SY760 @ SY761 ) ) )
| ( SV123 @ ( cons_P1213805021e_name @ SY759 @ ( cons_P1213805021e_name @ SY760 @ SY761 ) ) ) )
| ( SV123 @ SY757 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[717]) ).
thf(859,plain,
! [SV124: name] :
( ( ! [SY762: pi_Rep,SY763: name] :
( ~ ( fresh_name_pi_Rep @ SV124 @ SY762 )
| ~ ( fresh_name_pi_Rep @ SY763 @ SY762 )
| ( ( perm_name_pi_Rep @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV124 @ SY763 ) @ nil_Pr743626285e_name ) @ SY762 )
= SY762 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[718]) ).
thf(860,plain,
! [SV125: produc367475239e_name] :
( ( ! [SY764: list_P227219501e_name] :
( nil_Pr743626285e_name
!= ( cons_P1213805021e_name @ SV125 @ SY764 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[719]) ).
thf(861,plain,
! [SV126: name] :
( ( ! [SY765: name,SY766: name] :
( ~ ( fresh_name_name @ SV126 @ SY765 )
| ~ ( fresh_name_name @ SY766 @ SY765 )
| ( ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV126 @ SY766 ) @ nil_Pr743626285e_name ) @ SY765 )
= SY765 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[720]) ).
thf(862,plain,
! [SV127: pi] :
( ( ! [SY767: late_residual,SY768: list_P227219501e_name] :
( ~ ( late_transitions @ SV127 @ SY767 )
| ( late_transitions @ ( perm_name_pi @ SY768 @ SV127 ) @ ( perm_n414416632sidual @ SY768 @ SY767 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[721]) ).
thf(863,plain,
! [SV128: produc367475239e_name] :
( ( ! [SY769: list_P227219501e_name,SY770: produc367475239e_name,SY771: list_P227219501e_name] :
( ( ( cons_P1213805021e_name @ SV128 @ SY769 )
= ( cons_P1213805021e_name @ SY770 @ SY771 ) )
= ( ~ ( ( SV128 != SY770 )
| ( SY769 != SY771 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[722]) ).
thf(864,plain,
! [SV129: set_Pr443758855e_name] :
( ( ! [SY772: list_P227219501e_name,SY773: name,SY774: name] :
( ~ ( eqvt_name @ SV129 )
| ~ ( member695284560e_name @ ( produc1570949143e_name @ ( perm_name_name @ SY772 @ SY773 ) @ ( perm_name_name @ SY772 @ SY774 ) ) @ SV129 )
| ( member695284560e_name @ ( produc1570949143e_name @ SY773 @ SY774 ) @ SV129 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[723]) ).
thf(865,plain,
! [SV130: name] :
( ( ! [SY775: pi,SY776: name] :
( ~ ( fresh_name_pi @ SV130 @ SY775 )
| ~ ( fresh_name_pi @ SY776 @ SY775 )
| ( ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV130 @ SY776 ) @ nil_Pr743626285e_name ) @ SY775 )
= SY775 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[724]) ).
thf(866,plain,
! [SV131: set_Pr1834926343_pi_pi] :
( ( ! [SY777: pi,SY778: late_subject,SY779: name] :
( ~ ( ord_le630093991_pi_pi @ id_pi @ SV131 )
| ( strong2129052853vative @ SY777 @ SY777 @ SY778 @ SY779 @ SV131 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[725]) ).
thf(867,plain,
! [SV132: name] :
( ( ! [SY780: name,SY781: produc1141751126_pi_pi,SY782: name] :
( ~ ( ( SV132 != SY780 ) )
| ~ ( fresh_1376661020_pi_pi @ SY780 @ SY781 )
| ~ ( fresh_1376661020_pi_pi @ SV132 @ SY781 )
| ( fresh_1376661020_pi_pi @ SV132 @ ( perm_n1255502110_pi_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SY780 @ SY782 ) @ nil_Pr743626285e_name ) @ SY781 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[726]) ).
thf(868,plain,
! [SV133: name] :
( ( ! [SY783: late_subject,SY784: name] :
( ~ ( fresh_717452603ubject @ SV133 @ SY783 )
| ~ ( fresh_717452603ubject @ SY784 @ SY783 )
| ( ( perm_n1559866809ubject @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV133 @ SY784 ) @ nil_Pr743626285e_name ) @ SY783 )
= SY783 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[727]) ).
thf(869,plain,
! [SV134: produc367475239e_name > $o] :
( ( ! [SY785: produc367475239e_name] :
( ~ ! [SY786: name,SY787: name] : ( SV134 @ ( produc1570949143e_name @ SY786 @ SY787 ) )
| ( SV134 @ SY785 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[728]) ).
thf(870,plain,
! [SV135: name,SV1: name] :
( ( ! [SY788: late_subject] :
( ( perm_n1559866809ubject @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV1 @ SV135 ) @ nil_Pr743626285e_name ) @ ( perm_n1559866809ubject @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV1 @ SV135 ) @ nil_Pr743626285e_name ) @ SY788 ) )
= SY788 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[729]) ).
thf(871,plain,
! [SV136: name,SV2: name] :
( ( ! [SY789: late_freeRes] :
( ( perm_n336613537reeRes @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV2 @ SV136 ) @ nil_Pr743626285e_name ) @ ( perm_n336613537reeRes @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV2 @ SV136 ) @ nil_Pr743626285e_name ) @ SY789 ) )
= SY789 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[730]) ).
thf(872,plain,
! [SV137: name,SV3: name] :
( ( ! [SY790: pi_Rep] :
( ( perm_name_pi_Rep @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV3 @ SV137 ) @ nil_Pr743626285e_name ) @ ( perm_name_pi_Rep @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV3 @ SV137 ) @ nil_Pr743626285e_name ) @ SY790 ) )
= SY790 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[731]) ).
thf(873,plain,
! [SV138: name,SV4: name] :
( ( ! [SY791: name] :
( ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV4 @ SV138 ) @ nil_Pr743626285e_name ) @ ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV4 @ SV138 ) @ nil_Pr743626285e_name ) @ SY791 ) )
= SY791 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[732]) ).
thf(874,plain,
! [SV139: name,SV5: name] :
( ( ! [SY792: pi] :
( ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV5 @ SV139 ) @ nil_Pr743626285e_name ) @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV5 @ SV139 ) @ nil_Pr743626285e_name ) @ SY792 ) )
= SY792 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[733]) ).
thf(875,plain,
! [SV140: late_subject,SV6: name] :
( ( ( perm_n1559866809ubject @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV6 @ SV6 ) @ nil_Pr743626285e_name ) @ SV140 )
= SV140 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[734]) ).
thf(876,plain,
! [SV141: late_freeRes,SV7: name] :
( ( ( perm_n336613537reeRes @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV7 @ SV7 ) @ nil_Pr743626285e_name ) @ SV141 )
= SV141 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[735]) ).
thf(877,plain,
! [SV142: pi_Rep,SV8: name] :
( ( ( perm_name_pi_Rep @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV8 @ SV8 ) @ nil_Pr743626285e_name ) @ SV142 )
= SV142 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[736]) ).
thf(878,plain,
! [SV143: name,SV9: name] :
( ( ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV9 @ SV9 ) @ nil_Pr743626285e_name ) @ SV143 )
= SV143 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[737]) ).
thf(879,plain,
! [SV144: pi,SV10: name] :
( ( ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV10 @ SV10 ) @ nil_Pr743626285e_name ) @ SV144 )
= SV144 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[738]) ).
thf(880,plain,
! [SV145: name,SV11: name] :
( ( ! [SY793: late_subject] :
( ( perm_n1559866809ubject @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV11 @ SV145 ) @ nil_Pr743626285e_name ) @ SY793 )
= ( perm_n1559866809ubject @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV145 @ SV11 ) @ nil_Pr743626285e_name ) @ SY793 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[739]) ).
thf(881,plain,
! [SV146: name,SV12: name] :
( ( ! [SY794: late_freeRes] :
( ( perm_n336613537reeRes @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV12 @ SV146 ) @ nil_Pr743626285e_name ) @ SY794 )
= ( perm_n336613537reeRes @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV146 @ SV12 ) @ nil_Pr743626285e_name ) @ SY794 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[740]) ).
thf(882,plain,
! [SV147: name,SV13: name] :
( ( ! [SY795: pi_Rep] :
( ( perm_name_pi_Rep @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV13 @ SV147 ) @ nil_Pr743626285e_name ) @ SY795 )
= ( perm_name_pi_Rep @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV147 @ SV13 ) @ nil_Pr743626285e_name ) @ SY795 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[741]) ).
thf(883,plain,
! [SV148: name,SV14: name] :
( ( ! [SY796: name] :
( ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV14 @ SV148 ) @ nil_Pr743626285e_name ) @ SY796 )
= ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV148 @ SV14 ) @ nil_Pr743626285e_name ) @ SY796 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[742]) ).
thf(884,plain,
! [SV149: name,SV15: name] :
( ( ! [SY797: pi] :
( ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV15 @ SV149 ) @ nil_Pr743626285e_name ) @ SY797 )
= ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV149 @ SV15 ) @ nil_Pr743626285e_name ) @ SY797 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[743]) ).
thf(885,plain,
! [SV150: name,SV16: name] :
( ( ! [SY798: late_subject] :
( ( perm_n1559866809ubject @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV16 @ SV150 ) @ nil_Pr743626285e_name ) @ ( perm_n1559866809ubject @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV16 @ SV150 ) @ nil_Pr743626285e_name ) @ SY798 ) )
= SY798 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[744]) ).
thf(886,plain,
! [SV151: name,SV17: name] :
( ( ! [SY799: late_freeRes] :
( ( perm_n336613537reeRes @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV17 @ SV151 ) @ nil_Pr743626285e_name ) @ ( perm_n336613537reeRes @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV17 @ SV151 ) @ nil_Pr743626285e_name ) @ SY799 ) )
= SY799 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[745]) ).
thf(887,plain,
! [SV152: name,SV18: name] :
( ( ! [SY800: pi_Rep] :
( ( perm_name_pi_Rep @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV18 @ SV152 ) @ nil_Pr743626285e_name ) @ ( perm_name_pi_Rep @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV18 @ SV152 ) @ nil_Pr743626285e_name ) @ SY800 ) )
= SY800 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[746]) ).
thf(888,plain,
! [SV153: name,SV19: name] :
( ( ! [SY801: name] :
( ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV19 @ SV153 ) @ nil_Pr743626285e_name ) @ ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV19 @ SV153 ) @ nil_Pr743626285e_name ) @ SY801 ) )
= SY801 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[747]) ).
thf(889,plain,
! [SV154: name,SV20: name] :
( ( ! [SY802: pi] :
( ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV20 @ SV154 ) @ nil_Pr743626285e_name ) @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV20 @ SV154 ) @ nil_Pr743626285e_name ) @ SY802 ) )
= SY802 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[748]) ).
thf(890,plain,
! [SV155: name,SV26: name] :
( ( ! [SY803: late_subject] :
( ( perm_n1559866809ubject @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV26 @ SV155 ) @ nil_Pr743626285e_name ) @ ( perm_n1559866809ubject @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV155 @ SV26 ) @ nil_Pr743626285e_name ) @ SY803 ) )
= SY803 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[754]) ).
thf(891,plain,
! [SV156: name,SV27: name] :
( ( ! [SY804: late_freeRes] :
( ( perm_n336613537reeRes @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV27 @ SV156 ) @ nil_Pr743626285e_name ) @ ( perm_n336613537reeRes @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV156 @ SV27 ) @ nil_Pr743626285e_name ) @ SY804 ) )
= SY804 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[755]) ).
thf(892,plain,
! [SV157: name,SV28: name] :
( ( ! [SY805: pi_Rep] :
( ( perm_name_pi_Rep @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV28 @ SV157 ) @ nil_Pr743626285e_name ) @ ( perm_name_pi_Rep @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV157 @ SV28 ) @ nil_Pr743626285e_name ) @ SY805 ) )
= SY805 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[756]) ).
thf(893,plain,
! [SV158: name,SV29: name] :
( ( ! [SY806: name] :
( ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV29 @ SV158 ) @ nil_Pr743626285e_name ) @ ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV158 @ SV29 ) @ nil_Pr743626285e_name ) @ SY806 ) )
= SY806 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[757]) ).
thf(894,plain,
! [SV159: name,SV30: name] :
( ( ! [SY807: pi] :
( ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV30 @ SV159 ) @ nil_Pr743626285e_name ) @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV159 @ SV30 ) @ nil_Pr743626285e_name ) @ SY807 ) )
= SY807 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[758]) ).
thf(895,plain,
! [SV160: name,SV31: name] :
( ( ( ( late_BoundOutputS @ SV31 )
= ( late_BoundOutputS @ SV160 ) )
= ( SV31 = SV160 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[759]) ).
thf(896,plain,
! [SV161: name,SV32: name] :
( ( ( ( late_BoundOutputS @ SV32 )
= ( late_BoundOutputS @ SV161 ) )
= ( SV32 = SV161 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[760]) ).
thf(897,plain,
! [SV162: name,SV37: list_P227219501e_name] :
( ( ( perm_n1559866809ubject @ SV37 @ ( late_BoundOutputS @ SV162 ) )
= ( late_BoundOutputS @ ( perm_name_name @ SV37 @ SV162 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[765]) ).
thf(898,plain,
! [SV163: name,SV38: list_P227219501e_name] :
( ( ! [SY808: pi] :
( ( perm_name_o @ SV38 @ ( fresh_name_pi @ SV163 @ SY808 ) )
= ( fresh_name_pi @ ( perm_name_name @ SV38 @ SV163 ) @ ( perm_name_pi @ SV38 @ SY808 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[766]) ).
thf(899,plain,
! [SV164: name,SV39: list_P227219501e_name] :
( ( ! [SY809: pi] :
( ( fresh_name_pi @ ( perm_name_name @ SV39 @ SV164 ) @ ( perm_name_pi @ SV39 @ SY809 ) )
= ( fresh_name_pi @ SV164 @ SY809 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[767]) ).
thf(900,plain,
! [SV165: name,SV41: name] :
( ( ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV41 @ SV165 ) @ nil_Pr743626285e_name ) @ SV41 )
= SV165 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[769]) ).
thf(901,plain,
! [SV166: name,SV42: name] :
( ( ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV42 @ SV166 ) @ nil_Pr743626285e_name ) @ SV166 )
= SV42 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[770]) ).
thf(902,plain,
! [SV167: list_P227219501e_name,SV43: list_P227219501e_name] :
( ( ! [SY810: pi] :
( ( perm_name_pi @ SV43 @ ( perm_name_pi @ SV167 @ SY810 ) )
= ( perm_name_pi @ ( perm_n1160739829e_name @ SV43 @ SV167 ) @ ( perm_name_pi @ SV43 @ SY810 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[771]) ).
thf(903,plain,
! [SV168: list_P227219501e_name,SV44: list_P227219501e_name] :
( ( ! [SY811: pi] :
( ( perm_name_pi @ SV44 @ ( perm_name_pi @ SV168 @ SY811 ) )
= ( perm_name_pi @ ( perm_n1160739829e_name @ SV44 @ SV168 ) @ ( perm_name_pi @ SV44 @ SY811 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[772]) ).
thf(904,plain,
! [SV169: list_P227219501e_name,SV45: list_P227219501e_name] :
( ( ! [SY812: pi] :
( ( perm_name_pi @ SV45 @ ( perm_name_pi @ SV169 @ SY812 ) )
= ( perm_name_pi @ ( perm_n1160739829e_name @ SV45 @ SV169 ) @ ( perm_name_pi @ SV45 @ SY812 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[773]) ).
thf(905,plain,
! [SV170: pi,SV46: list_P227219501e_name] :
( ( ! [SY813: pi] :
( ( ( perm_name_pi @ SV46 @ SV170 )
= ( perm_name_pi @ SV46 @ SY813 ) )
= ( SV170 = SY813 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[774]) ).
thf(906,plain,
! [SV171: pi > late_subject,SV47: list_P227219501e_name] :
( ( ! [SY814: pi] :
( ( perm_n1559866809ubject @ SV47 @ ( SV171 @ SY814 ) )
= ( perm_n190055296ubject @ SV47 @ SV171 @ ( perm_name_pi @ SV47 @ SY814 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[775]) ).
thf(907,plain,
! [SV172: pi > late_freeRes,SV48: list_P227219501e_name] :
( ( ! [SY815: pi] :
( ( perm_n336613537reeRes @ SV48 @ ( SV172 @ SY815 ) )
= ( perm_n1333244520reeRes @ SV48 @ SV172 @ ( perm_name_pi @ SV48 @ SY815 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[776]) ).
thf(908,plain,
! [SV173: pi,SV49: list_P227219501e_name] :
( ( ! [SY816: set_pi] :
( ( perm_name_o @ SV49 @ ( member_pi @ SV173 @ SY816 ) )
= ( member_pi @ ( perm_name_pi @ SV49 @ SV173 ) @ ( perm_name_set_pi @ SV49 @ SY816 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[777]) ).
thf(909,plain,
! [SV174: pi,SV50: list_P227219501e_name] :
( ( ! [SY817: pi] :
( ( perm_name_o @ SV50 @ ( SV174 = SY817 ) )
= ( ( perm_name_pi @ SV50 @ SV174 )
= ( perm_name_pi @ SV50 @ SY817 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[778]) ).
thf(910,plain,
! [SV175: name,SV51: name] :
( ( ( member695284560e_name @ ( produc1570949143e_name @ SV51 @ SV175 ) @ id_name )
= ( SV51 = SV175 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[779]) ).
thf(911,plain,
! [SV176: name,SV53: name] :
( ( ( fresh_717452603ubject @ SV53 @ ( late_BoundOutputS @ SV176 ) )
= ( fresh_name_name @ SV53 @ SV176 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[781]) ).
thf(912,plain,
! [SV177: late_subject,SV54: list_P227219501e_name] :
( ( ! [SY818: pi] :
( ( perm_n359102898ect_pi @ SV54 @ ( produc324947500ect_pi @ SV177 @ SY818 ) )
= ( produc324947500ect_pi @ ( perm_n1559866809ubject @ SV54 @ SV177 ) @ ( perm_name_pi @ SV54 @ SY818 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[782]) ).
thf(913,plain,
! [SV178: late_freeRes,SV55: list_P227219501e_name] :
( ( ! [SY819: pi] :
( ( perm_n1211707594Res_pi @ SV55 @ ( produc1177552196Res_pi @ SV178 @ SY819 ) )
= ( produc1177552196Res_pi @ ( perm_n336613537reeRes @ SV55 @ SV178 ) @ ( perm_name_pi @ SV55 @ SY819 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[783]) ).
thf(914,plain,
! [SV179: pi,SV56: list_P227219501e_name] :
( ( ! [SY820: list_pi] :
( ( perm_name_list_pi @ SV56 @ ( cons_pi @ SV179 @ SY820 ) )
= ( cons_pi @ ( perm_name_pi @ SV56 @ SV179 ) @ ( perm_name_list_pi @ SV56 @ SY820 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[784]) ).
thf(915,plain,
! [SV180: pi,SV57: list_P227219501e_name] :
( ( ! [SY821: pi] :
( ( perm_name_pi @ SV57 @ ( sum @ SV180 @ SY821 ) )
= ( sum @ ( perm_name_pi @ SV57 @ SV180 ) @ ( perm_name_pi @ SV57 @ SY821 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[785]) ).
thf(916,plain,
! [SV181: name,SV58: list_P227219501e_name] :
( ( ! [SY822: pi] :
( ( perm_name_pi @ SV58 @ ( res @ SV181 @ SY822 ) )
= ( res @ ( perm_name_name @ SV58 @ SV181 ) @ ( perm_name_pi @ SV58 @ SY822 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[786]) ).
thf(917,plain,
! [SV182: late_freeRes,SV59: list_P227219501e_name] :
( ( ! [SY823: pi] :
( ( perm_n414416632sidual @ SV59 @ ( late_FreeR @ SV182 @ SY823 ) )
= ( late_FreeR @ ( perm_n336613537reeRes @ SV59 @ SV182 ) @ ( perm_name_pi @ SV59 @ SY823 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[787]) ).
thf(918,plain,
! [SV183: name,SV60: list_P227219501e_name] :
( ( ! [SY824: name,SY825: pi] :
( ( perm_name_pi @ SV60 @ ( input @ SV183 @ SY824 @ SY825 ) )
= ( input @ ( perm_name_name @ SV60 @ SV183 ) @ ( perm_name_name @ SV60 @ SY824 ) @ ( perm_name_pi @ SV60 @ SY825 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[788]) ).
thf(919,plain,
! [SV184: name,SV61: name] :
( ( ! [SY826: pi,SY827: name,SY828: name,SY829: pi] :
~ ( late_transitions @ ( input @ SV61 @ SV184 @ SY826 ) @ ( late_BoundR @ ( late_BoundOutputS @ SY827 ) @ SY828 @ SY829 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[789]) ).
thf(920,plain,
! [SV185: name,SV62: name] :
( ( ! [SY830: list_P227219501e_name,SY831: name] :
( ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV62 @ SV185 ) @ SY830 ) @ SY831 )
= ( swap_name @ ( produc1570949143e_name @ SV62 @ SV185 ) @ ( perm_name_name @ SY830 @ SY831 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[790]) ).
thf(921,plain,
! [SV63: $o] :
( ( ( SV63 = $true )
= $true )
| ( ( SV63 = $false )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[791]) ).
thf(922,plain,
( ( ( $true = $true )
= $true )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[792]) ).
thf(923,plain,
( ( ( $false = $true )
= $true )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[793]) ).
thf(924,plain,
! [SV186: list_P227219501e_name,SV64: list_P227219501e_name > list_P227219501e_name > $o] :
( ( ! [SY832: list_P227219501e_name] :
( ~ ! [SY558: list_P227219501e_name] : ( SV64 @ nil_Pr743626285e_name @ SY558 )
| ~ ! [SY559: produc367475239e_name,SY560: list_P227219501e_name,SY561: list_P227219501e_name] :
( ~ ( SV64 @ SY561 @ SY560 )
| ( SV64 @ ( cons_P1213805021e_name @ SY559 @ SY560 ) @ SY561 ) )
| ( SV64 @ SV186 @ SY832 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[795]) ).
thf(925,plain,
! [SV187: list_P227219501e_name,SV65: list_P227219501e_name > list_P227219501e_name > $o] :
( ( ! [SY837: list_P227219501e_name] :
( ~ ( SV65 @ nil_Pr743626285e_name @ nil_Pr743626285e_name )
| ~ ! [SY564: produc367475239e_name,SY565: list_P227219501e_name] : ( SV65 @ ( cons_P1213805021e_name @ SY564 @ SY565 ) @ nil_Pr743626285e_name )
| ~ ! [SY566: produc367475239e_name,SY567: list_P227219501e_name] : ( SV65 @ nil_Pr743626285e_name @ ( cons_P1213805021e_name @ SY566 @ SY567 ) )
| ~ ! [SY568: produc367475239e_name,SY569: list_P227219501e_name,SY570: produc367475239e_name,SY571: list_P227219501e_name] :
( ~ ( SV65 @ SY569 @ SY571 )
| ( SV65 @ ( cons_P1213805021e_name @ SY568 @ SY569 ) @ ( cons_P1213805021e_name @ SY570 @ SY571 ) ) )
| ( SV65 @ SV187 @ SY837 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[796]) ).
thf(926,plain,
! [SV188: pi,SV66: pi] :
( ( ! [SY846: list_P227219501e_name] :
( ( SV66 != SV188 )
| ( ( perm_name_pi @ SY846 @ SV66 )
= ( perm_name_pi @ SY846 @ SV188 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[797]) ).
thf(927,plain,
! [SV189: set_Pr1834926343_pi_pi,SV67: pi] :
( ( ! [SY847: pi,SY848: set_Pr1834926343_pi_pi,SY849: list_P227219501e_name] :
( ~ ( strong743114133lation @ SV67 @ SV189 @ SY847 )
| ~ ( ord_le630093991_pi_pi @ SV189 @ SY848 )
| ~ ( eqvt_pi @ SY848 )
| ( strong743114133lation @ ( perm_name_pi @ SY849 @ SV67 ) @ SY848 @ ( perm_name_pi @ SY849 @ SY847 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[798]) ).
thf(928,plain,
! [SV190: list_P227219501e_name,SV68: name] :
( ( ! [SY850: pi] :
( ~ ( fresh_922791155e_name @ SV68 @ SV190 )
| ~ ( fresh_name_pi @ SV68 @ SY850 )
| ( fresh_name_pi @ SV68 @ ( perm_name_pi @ SV190 @ SY850 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[799]) ).
thf(929,plain,
! [SV69: list_P227219501e_name] :
( ( ( ~ ( ( SV69 != nil_Pr743626285e_name ) ) )
= $true )
| ( ( ~ ! [SY580: produc367475239e_name] :
( SV69
!= ( cons_P1213805021e_name @ SY580 @ nil_Pr743626285e_name ) )
| ~ ! [SY581: produc367475239e_name,SY582: produc367475239e_name,SY583: list_P227219501e_name] :
( SV69
!= ( cons_P1213805021e_name @ SY581 @ ( cons_P1213805021e_name @ SY582 @ SY583 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[800]) ).
thf(930,plain,
! [SV191: produc367475239e_name > produc367475239e_name > $o,SV70: ( produc367475239e_name > produc367475239e_name > $o ) > list_P227219501e_name > $o] :
( ( ! [SY851: list_P227219501e_name] :
( ~ ! [SY586: produc367475239e_name > produc367475239e_name > $o] : ( SV70 @ SY586 @ nil_Pr743626285e_name )
| ~ ! [SY587: produc367475239e_name > produc367475239e_name > $o,SY588: produc367475239e_name,SY589: list_P227219501e_name] :
( ~ ( SV70 @ SY587 @ SY589 )
| ( SV70 @ SY587 @ ( cons_P1213805021e_name @ SY588 @ SY589 ) ) )
| ( SV70 @ SV191 @ SY851 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[801]) ).
thf(931,plain,
! [SV192: produc367475239e_name > produc367475239e_name,SV71: ( produc367475239e_name > produc367475239e_name ) > list_P227219501e_name > list_P227219501e_name > $o] :
( ( ! [SY856: list_P227219501e_name,SY857: list_P227219501e_name] :
( ~ ! [SY593: produc367475239e_name > produc367475239e_name,SY594: list_P227219501e_name] : ( SV71 @ SY593 @ nil_Pr743626285e_name @ SY594 )
| ~ ! [SY595: produc367475239e_name > produc367475239e_name,SY596: produc367475239e_name,SY597: list_P227219501e_name,SY598: list_P227219501e_name] :
( ~ ( SV71 @ SY595 @ SY597 @ ( cons_P1213805021e_name @ ( SY595 @ SY596 ) @ SY598 ) )
| ( SV71 @ SY595 @ ( cons_P1213805021e_name @ SY596 @ SY597 ) @ SY598 ) )
| ( SV71 @ SV192 @ SY856 @ SY857 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[803]) ).
thf(932,plain,
! [SV72: list_l1406151091e_name] :
( ( ( ~ ( ( SV72 != nil_li29751603e_name ) ) )
= $true )
| ( ( ~ ! [SY599: list_l1406151091e_name] :
( SV72
!= ( cons_l798145763e_name @ nil_Pr743626285e_name @ SY599 ) )
| ~ ! [SY600: produc367475239e_name,SY601: list_P227219501e_name,SY602: list_l1406151091e_name] :
( SV72
!= ( cons_l798145763e_name @ ( cons_P1213805021e_name @ SY600 @ SY601 ) @ SY602 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[804]) ).
thf(933,plain,
! [SV73: produc367475239e_name] :
( ( ! [SY603: name,SY604: name] :
( SV73
!= ( produc1570949143e_name @ SY603 @ SY604 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[805]) ).
thf(934,plain,
! [SV193: list_P227219501e_name,SV74: $o] :
( ( ! [SY864: pi,SY865: pi] :
~ ( ~ ( ~ SV74
| ( ( perm_name_pi @ SV193 @ ( if_pi @ SV74 @ SY864 @ SY865 ) )
= ( perm_name_pi @ SV193 @ SY864 ) ) )
| ~ ( ~ ~ SV74
| ( ( perm_name_pi @ SV193 @ ( if_pi @ SV74 @ SY864 @ SY865 ) )
= ( perm_name_pi @ SV193 @ SY865 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[806]) ).
thf(935,plain,
! [SV194: list_P227219501e_name] :
( ( ! [SY866: pi,SY867: pi] :
~ ( ~ ( ~ $true
| ( ( perm_name_pi @ SV194 @ ( if_pi @ $true @ SY866 @ SY867 ) )
= ( perm_name_pi @ SV194 @ SY866 ) ) )
| ~ ( ~ ~ $true
| ( ( perm_name_pi @ SV194 @ ( if_pi @ $true @ SY866 @ SY867 ) )
= ( perm_name_pi @ SV194 @ SY867 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[807]) ).
thf(936,plain,
! [SV195: list_P227219501e_name] :
( ( ! [SY868: pi,SY869: pi] :
~ ( ~ ( ~ $false
| ( ( perm_name_pi @ SV195 @ ( if_pi @ $false @ SY868 @ SY869 ) )
= ( perm_name_pi @ SV195 @ SY868 ) ) )
| ~ ( ~ ~ $false
| ( ( perm_name_pi @ SV195 @ ( if_pi @ $false @ SY868 @ SY869 ) )
= ( perm_name_pi @ SV195 @ SY869 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[808]) ).
thf(937,plain,
! [SV196: name,SV75: name] :
( ( ! [SY870: name] :
( ~ ( fresh_441084397e_name @ SV75 @ ( produc1570949143e_name @ SV196 @ SY870 ) )
| ( fresh_name_name @ SV75 @ SY870 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[809]) ).
thf(938,plain,
! [SV197: name,SV76: name] :
( ( ! [SY871: name,SY872: name] :
( ( ( produc1570949143e_name @ SV76 @ SV197 )
= ( produc1570949143e_name @ SY871 @ SY872 ) )
= ( ~ ( ( SV76 != SY871 )
| ( SV197 != SY872 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[810]) ).
thf(939,plain,
! [SV198: name,SV77: name] :
( ( ! [SY873: name,SY874: name] :
( ( ( produc1570949143e_name @ SV77 @ SV198 )
!= ( produc1570949143e_name @ SY873 @ SY874 ) )
| ~ ( ( SV77 != SY873 )
| ( SV198 != SY874 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[811]) ).
thf(940,plain,
! [SV199: pi,SV78: set_Pr1834926343_pi_pi] :
( ( ! [SY875: pi,SY876: list_P227219501e_name] :
( ~ ( eqvt_pi @ SV78 )
| ~ ( member558706512_pi_pi @ ( product_Pair_pi_pi @ SV199 @ SY875 ) @ SV78 )
| ( member558706512_pi_pi @ ( product_Pair_pi_pi @ ( perm_name_pi @ SY876 @ SV199 ) @ ( perm_name_pi @ SY876 @ SY875 ) ) @ SV78 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[812]) ).
thf(941,plain,
! [SV79: produc890461031e_name] :
( ( ( ~ ! [SY619: list_P227219501e_name] :
( SV79
!= ( produc208131031e_name @ nil_Pr743626285e_name @ SY619 ) ) )
= $true )
| ( ( ~ ! [SY620: list_P227219501e_name] :
( SV79
!= ( produc208131031e_name @ SY620 @ nil_Pr743626285e_name ) )
| ~ ! [SY621: produc367475239e_name,SY622: list_P227219501e_name,SY623: produc367475239e_name,SY624: list_P227219501e_name] :
( SV79
!= ( produc208131031e_name @ ( cons_P1213805021e_name @ SY621 @ SY622 ) @ ( cons_P1213805021e_name @ SY623 @ SY624 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[813]) ).
thf(942,plain,
! [SV200: set_Pr443758855e_name,SV80: set_Pr443758855e_name] :
( ( ~ ! [SY877: name,SY878: name] :
( ~ ( member695284560e_name @ ( produc1570949143e_name @ SY877 @ SY878 ) @ SV80 )
| ( member695284560e_name @ ( produc1570949143e_name @ SY877 @ SY878 ) @ SV200 ) )
| ( ord_le793202855e_name @ SV80 @ SV200 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[814]) ).
thf(943,plain,
! [SV201: name,SV81: name] :
( ( ! [SY879: late_subject,SY880: name] :
( ~ ( ( SV81 != SV201 ) )
| ~ ( fresh_717452603ubject @ SV201 @ SY879 )
| ~ ( fresh_717452603ubject @ SV81 @ SY879 )
| ( fresh_717452603ubject @ SV81 @ ( perm_n1559866809ubject @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV201 @ SY880 ) @ nil_Pr743626285e_name ) @ SY879 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[815]) ).
thf(944,plain,
! [SV202: list_P227219501e_name,SV82: produc367475239e_name] :
( ( ( cons_P1213805021e_name @ SV82 @ SV202 )
!= SV202 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[816]) ).
thf(945,plain,
! [SV203: name,SV83: name] :
( ( ! [SY881: pi,SY882: name] :
( ~ ( ( SV83 != SV203 ) )
| ~ ( fresh_name_pi @ SV203 @ SY881 )
| ~ ( fresh_name_pi @ SV83 @ SY881 )
| ( fresh_name_pi @ SV83 @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV203 @ SY882 ) @ nil_Pr743626285e_name ) @ SY881 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[817]) ).
thf(946,plain,
! [SV204: pi,SV84: name] :
( ( ! [SY883: name] :
( ~ ( fresh_name_pi @ SV84 @ SV204 )
| ~ ( fresh_name_pi @ SY883 @ SV204 )
| ( ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV84 @ SY883 ) @ nil_Pr743626285e_name ) @ SV204 )
= SV204 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[818]) ).
thf(947,plain,
! [SV85: list_P227219501e_name] :
( ( ( ~ ( ( SV85 != nil_Pr743626285e_name ) ) )
= $true )
| ( ( ~ ! [SY637: produc367475239e_name,SY638: list_P227219501e_name] :
( SV85
!= ( cons_P1213805021e_name @ SY637 @ SY638 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[819]) ).
thf(948,plain,
! [SV86: list_P227219501e_name > $o] :
( ( ( ~ ! [SY639: list_P227219501e_name] : ( SV86 @ SY639 ) )
= $true )
| ( ( SV86 @ nil_Pr743626285e_name )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[820]) ).
thf(949,plain,
! [SV205: name,SV87: name] :
( ( ! [SY884: name] :
( ~ ( ( SV87 != SV205 ) )
| ~ ( ( SY884 != SV205 ) )
| ( ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV87 @ SY884 ) @ nil_Pr743626285e_name ) @ SV205 )
= SV205 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[821]) ).
thf(950,plain,
! [SV206: pi,SV88: pi] :
( ( ! [SY885: late_subject,SY886: name,SY887: set_Pr1834926343_pi_pi,SY888: set_Pr1834926343_pi_pi] :
( ~ ( strong2129052853vative @ SV88 @ SV206 @ SY885 @ SY886 @ SY887 )
| ~ ( ord_le630093991_pi_pi @ SY887 @ SY888 )
| ( strong2129052853vative @ SV88 @ SV206 @ SY885 @ SY886 @ SY888 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[822]) ).
thf(951,plain,
! [SV207: produc367475239e_name > produc367475239e_name > $o,SV89: ( produc367475239e_name > produc367475239e_name > $o ) > list_P227219501e_name > $o] :
( ( ! [SY889: list_P227219501e_name] :
( ~ ! [SY649: produc367475239e_name > produc367475239e_name > $o] : ( SV89 @ SY649 @ nil_Pr743626285e_name )
| ~ ! [SY650: produc367475239e_name > produc367475239e_name > $o,SY651: produc367475239e_name] : ( SV89 @ SY650 @ ( cons_P1213805021e_name @ SY651 @ nil_Pr743626285e_name ) )
| ~ ! [SY652: produc367475239e_name > produc367475239e_name > $o,SY653: produc367475239e_name,SY654: produc367475239e_name,SY655: list_P227219501e_name] :
( ~ ( SV89 @ SY652 @ ( cons_P1213805021e_name @ SY654 @ SY655 ) )
| ( SV89 @ SY652 @ ( cons_P1213805021e_name @ SY653 @ ( cons_P1213805021e_name @ SY654 @ SY655 ) ) ) )
| ( SV89 @ SV207 @ SY889 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[823]) ).
thf(952,plain,
! [SV208: pi,SV90: pi] :
( ( ! [SY897: late_subject,SY898: name,SY899: set_Pr1834926343_pi_pi,SY900: list_P227219501e_name] :
( ~ ( strong2129052853vative @ SV90 @ SV208 @ SY897 @ SY898 @ SY899 )
| ~ ( eqvt_pi @ SY899 )
| ( strong2129052853vative @ ( perm_name_pi @ SY900 @ SV90 ) @ ( perm_name_pi @ SY900 @ SV208 ) @ SY897 @ ( perm_name_name @ SY900 @ SY898 ) @ SY899 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[824]) ).
thf(953,plain,
! [SV209: list_P227219501e_name > $o,SV91: list_P227219501e_name] :
( ( ~ ( ( SV91 != nil_Pr743626285e_name ) )
| ~ ! [SY901: produc367475239e_name] : ( SV209 @ ( cons_P1213805021e_name @ SY901 @ nil_Pr743626285e_name ) )
| ~ ! [SY902: produc367475239e_name,SY903: list_P227219501e_name] :
( ~ ( ( SY903 != nil_Pr743626285e_name ) )
| ~ ( SV209 @ SY903 )
| ( SV209 @ ( cons_P1213805021e_name @ SY902 @ SY903 ) ) )
| ( SV209 @ SV91 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[825]) ).
thf(954,plain,
! [SV210: list_P227219501e_name,SV92: set_Pr1834926343_pi_pi] :
( ( ! [SY904: pi,SY905: pi] :
( ~ ( eqvt_pi @ SV92 )
| ~ ( member558706512_pi_pi @ ( product_Pair_pi_pi @ ( perm_name_pi @ SV210 @ SY904 ) @ ( perm_name_pi @ SV210 @ SY905 ) ) @ SV92 )
| ( member558706512_pi_pi @ ( product_Pair_pi_pi @ SY904 @ SY905 ) @ SV92 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[826]) ).
thf(955,plain,
! [SV211: produc1141751126_pi_pi,SV93: name] :
( ( ! [SY906: name] :
( ~ ( fresh_1376661020_pi_pi @ SV93 @ SV211 )
| ~ ( fresh_1376661020_pi_pi @ SY906 @ SV211 )
| ( ( perm_n1255502110_pi_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV93 @ SY906 ) @ nil_Pr743626285e_name ) @ SV211 )
= SV211 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[827]) ).
thf(956,plain,
! [SV212: name,SV94: name] :
( ( ! [SY907: name,SY908: name] :
( ~ ( ( SV94 != SV212 ) )
| ~ ( fresh_name_name @ SV212 @ SY907 )
| ~ ( fresh_name_name @ SV94 @ SY907 )
| ( fresh_name_name @ SV94 @ ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV212 @ SY908 ) @ nil_Pr743626285e_name ) @ SY907 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[828]) ).
thf(957,plain,
! [SV213: name,SV95: name] :
( ( ! [SY909: late_freeRes,SY910: name] :
( ~ ( ( SV95 != SV213 ) )
| ~ ( fresh_1641682979reeRes @ SV213 @ SY909 )
| ~ ( fresh_1641682979reeRes @ SV95 @ SY909 )
| ( fresh_1641682979reeRes @ SV95 @ ( perm_n336613537reeRes @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV213 @ SY910 ) @ nil_Pr743626285e_name ) @ SY909 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[829]) ).
thf(958,plain,
! [SV96: produc1872410278e_name] :
( ( ( ~ ! [SY676: produc367475239e_name > produc367475239e_name > $o] :
( SV96
!= ( produc1069608854e_name @ SY676 @ nil_Pr743626285e_name ) ) )
= $true )
| ( ( ~ ! [SY677: produc367475239e_name > produc367475239e_name > $o,SY678: produc367475239e_name] :
( SV96
!= ( produc1069608854e_name @ SY677 @ ( cons_P1213805021e_name @ SY678 @ nil_Pr743626285e_name ) ) )
| ~ ! [SY679: produc367475239e_name > produc367475239e_name > $o,SY680: produc367475239e_name,SY681: produc367475239e_name,SY682: list_P227219501e_name] :
( SV96
!= ( produc1069608854e_name @ SY679 @ ( cons_P1213805021e_name @ SY680 @ ( cons_P1213805021e_name @ SY681 @ SY682 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[830]) ).
thf(959,plain,
! [SV214: list_P227219501e_name,SV97: list_P227219501e_name > list_P227219501e_name > $o] :
( ( ! [SY911: list_P227219501e_name] :
( ~ ! [SY685: list_P227219501e_name] : ( SV97 @ nil_Pr743626285e_name @ SY685 )
| ~ ! [SY686: list_P227219501e_name] : ( SV97 @ SY686 @ nil_Pr743626285e_name )
| ~ ! [SY687: produc367475239e_name,SY688: list_P227219501e_name,SY689: produc367475239e_name,SY690: list_P227219501e_name] :
( ~ ( SV97 @ SY688 @ ( cons_P1213805021e_name @ SY689 @ SY690 ) )
| ~ ( SV97 @ ( cons_P1213805021e_name @ SY687 @ SY688 ) @ SY690 )
| ( SV97 @ ( cons_P1213805021e_name @ SY687 @ SY688 ) @ ( cons_P1213805021e_name @ SY689 @ SY690 ) ) )
| ( SV97 @ SV214 @ SY911 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[831]) ).
thf(960,plain,
! [SV215: name,SV98: name] :
( ( ! [SY918: pi_Rep,SY919: name] :
( ~ ( ( SV98 != SV215 ) )
| ~ ( fresh_name_pi_Rep @ SV215 @ SY918 )
| ~ ( fresh_name_pi_Rep @ SV98 @ SY918 )
| ( fresh_name_pi_Rep @ SV98 @ ( perm_name_pi_Rep @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV215 @ SY919 ) @ nil_Pr743626285e_name ) @ SY918 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[832]) ).
thf(961,plain,
! [SV216: late_freeRes,SV99: name] :
( ( ! [SY920: name] :
( ~ ( fresh_1641682979reeRes @ SV99 @ SV216 )
| ~ ( fresh_1641682979reeRes @ SY920 @ SV216 )
| ( ( perm_n336613537reeRes @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV99 @ SY920 ) @ nil_Pr743626285e_name ) @ SV216 )
= SV216 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[833]) ).
thf(962,plain,
! [SV217: produc367475239e_name,SV100: list_P227219501e_name] :
( ( ! [SY921: list_P227219501e_name] :
( ( SV100
!= ( cons_P1213805021e_name @ SV217 @ SY921 ) )
| ( SV100 != nil_Pr743626285e_name ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[834]) ).
thf(963,plain,
! [SV218: name,SV101: name] :
( ( ( late_InputS @ SV101 )
!= ( late_BoundOutputS @ SV218 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[835]) ).
thf(964,plain,
! [SV219: name,SV102: set_Pr443758855e_name] :
( ( ! [SY922: name,SY923: list_P227219501e_name] :
( ~ ( eqvt_name @ SV102 )
| ~ ( member695284560e_name @ ( produc1570949143e_name @ SV219 @ SY922 ) @ SV102 )
| ( member695284560e_name @ ( produc1570949143e_name @ ( perm_name_name @ SY923 @ SV219 ) @ ( perm_name_name @ SY923 @ SY922 ) ) @ SV102 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[836]) ).
thf(965,plain,
! [SV103: produc1872410278e_name] :
( ( ( ~ ! [SY702: produc367475239e_name > produc367475239e_name > $o] :
( SV103
!= ( produc1069608854e_name @ SY702 @ nil_Pr743626285e_name ) ) )
= $true )
| ( ( ~ ! [SY703: produc367475239e_name > produc367475239e_name > $o,SY704: produc367475239e_name,SY705: list_P227219501e_name] :
( SV103
!= ( produc1069608854e_name @ SY703 @ ( cons_P1213805021e_name @ SY704 @ SY705 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[837]) ).
thf(966,plain,
! [SV220: list_P227219501e_name,SV104: list_P227219501e_name > $o] :
( ( ~ ( SV104 @ nil_Pr743626285e_name )
| ~ ! [SY707: produc367475239e_name,SY708: list_P227219501e_name] :
( ~ ( SV104 @ SY708 )
| ( SV104 @ ( cons_P1213805021e_name @ SY707 @ SY708 ) ) )
| ( SV104 @ SV220 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[838]) ).
thf(967,plain,
! [SV221: $o,SV105: list_P227219501e_name] :
( ( ! [SY926: pi,SY927: pi] :
~ ( ~ ( ~ ( perm_name_o @ SV105 @ SV221 )
| ( ( perm_name_pi @ SV105 @ ( if_pi @ SV221 @ SY926 @ SY927 ) )
= ( perm_name_pi @ SV105 @ SY926 ) ) )
| ~ ( ~ ~ ( perm_name_o @ SV105 @ SV221 )
| ( ( perm_name_pi @ SV105 @ ( if_pi @ SV221 @ SY926 @ SY927 ) )
= ( perm_name_pi @ SV105 @ SY927 ) ) ) ) )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[839]) ).
thf(968,plain,
! [SV105: list_P227219501e_name] :
( ( ! [SX0: pi,SX1: pi] :
~ ( ~ ( ~ ( perm_name_o @ SV105 @ $true )
| ( ( perm_name_pi @ SV105 @ ( if_pi @ $true @ SX0 @ SX1 ) )
= ( perm_name_pi @ SV105 @ SX0 ) ) )
| ~ ( ~ ~ ( perm_name_o @ SV105 @ $true )
| ( ( perm_name_pi @ SV105 @ ( if_pi @ $true @ SX0 @ SX1 ) )
= ( perm_name_pi @ SV105 @ SX1 ) ) ) ) )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[839]) ).
thf(969,plain,
! [SV105: list_P227219501e_name] :
( ( ! [SX0: pi,SX1: pi] :
~ ( ~ ( ~ ( perm_name_o @ SV105 @ $false )
| ( ( perm_name_pi @ SV105 @ ( if_pi @ $false @ SX0 @ SX1 ) )
= ( perm_name_pi @ SV105 @ SX0 ) ) )
| ~ ( ~ ~ ( perm_name_o @ SV105 @ $false )
| ( ( perm_name_pi @ SV105 @ ( if_pi @ $false @ SX0 @ SX1 ) )
= ( perm_name_pi @ SV105 @ SX1 ) ) ) ) )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[839]) ).
thf(970,plain,
! [SV222: produc1141751126_pi_pi,SV106: name] :
( ( ! [SY928: name] :
( ~ ( fresh_1376661020_pi_pi @ SV106 @ SV222 )
| ~ ( fresh_1376661020_pi_pi @ SY928 @ SV222 )
| ( ( perm_n1255502110_pi_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV106 @ SY928 ) @ nil_Pr743626285e_name ) @ SV222 )
= SV222 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[840]) ).
thf(971,plain,
! [SV107: produc367475239e_name] :
( ( ( ~ ( member695284560e_name @ SV107 @ id_name ) )
= $true )
| ( ( ~ ! [SY714: name] :
( SV107
!= ( produc1570949143e_name @ SY714 @ SY714 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[842]) ).
thf(972,plain,
! [SV223: pi,SV108: name] :
( ( ! [SY929: name] :
( ~ ( fresh_name_pi @ SV108 @ SV223 )
| ( ( res @ SY929 @ SV223 )
= ( res @ SV108 @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SY929 @ SV108 ) @ nil_Pr743626285e_name ) @ SV223 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[843]) ).
thf(973,plain,
! [SV109: list_P227219501e_name] :
( ( ~ ( ( SV109 != nil_Pr743626285e_name )
| ~ ! [SY717: produc367475239e_name] :
~ ~ ! [SY718: list_P227219501e_name] :
( SV109
!= ( cons_P1213805021e_name @ SY717 @ SY718 ) ) )
| ~ ( ~ ( ( SV109 != nil_Pr743626285e_name ) )
| ~ ~ ! [SY717: produc367475239e_name] :
~ ~ ! [SY718: list_P227219501e_name] :
( SV109
!= ( cons_P1213805021e_name @ SY717 @ SY718 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[844]) ).
thf(974,plain,
! [SV109: list_P227219501e_name] :
( ( ( SV109 != nil_Pr743626285e_name )
= ( ~ ! [SY717: produc367475239e_name] :
~ ~ ! [SY718: list_P227219501e_name] :
( SV109
!= ( cons_P1213805021e_name @ SY717 @ SY718 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[844]) ).
thf(975,plain,
! [SV224: late_freeRes,SV110: name] :
( ( ! [SY930: name] :
( ~ ( fresh_1641682979reeRes @ SV110 @ SV224 )
| ~ ( fresh_1641682979reeRes @ SY930 @ SV224 )
| ( ( perm_n336613537reeRes @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV110 @ SY930 ) @ nil_Pr743626285e_name ) @ SV224 )
= SV224 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[845]) ).
thf(976,plain,
! [SV225: name,SV111: name] :
( ( ! [SY931: name] :
( ~ ( fresh_name_name @ SV111 @ SV225 )
| ~ ( fresh_name_name @ SY931 @ SV225 )
| ( ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV111 @ SY931 ) @ nil_Pr743626285e_name ) @ SV225 )
= SV225 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[846]) ).
thf(977,plain,
! [SV226: pi,SV112: name] :
( ( ! [SY932: late_subject,SY933: name] :
( ~ ( fresh_name_pi @ SV112 @ SV226 )
| ( ( late_BoundR @ SY932 @ SY933 @ SV226 )
= ( late_BoundR @ SY932 @ SV112 @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SY933 @ SV112 ) @ nil_Pr743626285e_name ) @ SV226 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[847]) ).
thf(978,plain,
! [SV227: pi,SV113: name] :
( ( ! [SY934: name,SY935: name] :
( ~ ( fresh_name_pi @ SV113 @ SV227 )
| ( ( input @ SY934 @ SY935 @ SV227 )
= ( input @ SY934 @ SV113 @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SY935 @ SV113 ) @ nil_Pr743626285e_name ) @ SV227 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[848]) ).
thf(979,plain,
! [SV228: pi_Rep,SV114: name] :
( ( ! [SY936: name] :
( ~ ( fresh_name_pi_Rep @ SV114 @ SV228 )
| ~ ( fresh_name_pi_Rep @ SY936 @ SV228 )
| ( ( perm_name_pi_Rep @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV114 @ SY936 ) @ nil_Pr743626285e_name ) @ SV228 )
= SV228 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[849]) ).
thf(980,plain,
! [SV229: name,SV115: name] :
( ( ! [SY937: name] :
( ~ ( fresh_441084397e_name @ SV115 @ ( produc1570949143e_name @ SV229 @ SY937 ) )
| ( fresh_name_name @ SV115 @ SV229 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[850]) ).
thf(981,plain,
! [SV116: produc367475239e_name] :
( ( ! [SY733: name] :
~ ~ ! [SY734: name] :
( SV116
!= ( produc1570949143e_name @ SY733 @ SY734 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[851]) ).
thf(982,plain,
! [SV230: list_P227219501e_name,SV117: list_P227219501e_name > $o] :
( ( ~ ( SV117 @ nil_Pr743626285e_name )
| ~ ! [SY736: produc367475239e_name] : ( SV117 @ ( cons_P1213805021e_name @ SY736 @ nil_Pr743626285e_name ) )
| ~ ! [SY737: produc367475239e_name,SY738: produc367475239e_name,SY739: list_P227219501e_name] :
( ~ ( SV117 @ SY739 )
| ~ ( SV117 @ ( cons_P1213805021e_name @ SY738 @ SY739 ) )
| ( SV117 @ ( cons_P1213805021e_name @ SY737 @ ( cons_P1213805021e_name @ SY738 @ SY739 ) ) ) )
| ( SV117 @ SV230 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[852]) ).
thf(983,plain,
! [SV118: produc890461031e_name] :
( ( ( ~ ! [SY740: list_P227219501e_name] :
( SV118
!= ( produc208131031e_name @ nil_Pr743626285e_name @ SY740 ) ) )
= $true )
| ( ( ~ ! [SY741: produc367475239e_name,SY742: list_P227219501e_name,SY743: list_P227219501e_name] :
( SV118
!= ( produc208131031e_name @ ( cons_P1213805021e_name @ SY741 @ SY742 ) @ SY743 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[853]) ).
thf(984,plain,
! [SV231: name,SV119: name] :
( ( ! [SY942: name,SY943: name] :
( ( ( produc1570949143e_name @ SV119 @ SV231 )
= ( produc1570949143e_name @ SY942 @ SY943 ) )
= ( ~ ( ( SV119 != SY942 )
| ( SV231 != SY943 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[854]) ).
thf(985,plain,
! [SV232: late_subject,SV120: name] :
( ( ! [SY944: name] :
( ~ ( fresh_717452603ubject @ SV120 @ SV232 )
| ~ ( fresh_717452603ubject @ SY944 @ SV232 )
| ( ( perm_n1559866809ubject @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV120 @ SY944 ) @ nil_Pr743626285e_name ) @ SV232 )
= SV232 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[855]) ).
thf(986,plain,
! [SV233: pi,SV121: pi] :
( ( ! [SY945: late_subject,SY946: name,SY947: set_Pr1834926343_pi_pi,SY948: list_P227219501e_name] :
( ~ ( strong2129052853vative @ SV121 @ SV233 @ SY945 @ SY946 @ SY947 )
| ~ ( eqvt_pi @ SY947 )
| ( strong2129052853vative @ ( perm_name_pi @ SY948 @ SV121 ) @ ( perm_name_pi @ SY948 @ SV233 ) @ ( perm_n1559866809ubject @ SY948 @ SY945 ) @ ( perm_name_name @ SY948 @ SY946 ) @ SY947 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[856]) ).
thf(987,plain,
! [SV234: produc367475239e_name,SV122: produc367475239e_name > $o] :
( ( ~ ! [SY755: name,SY756: name] : ( SV122 @ ( produc1570949143e_name @ SY755 @ SY756 ) )
| ( SV122 @ SV234 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[857]) ).
thf(988,plain,
! [SV235: list_P227219501e_name,SV123: list_P227219501e_name > $o] :
( ( ~ ( SV123 @ nil_Pr743626285e_name )
| ~ ! [SY758: produc367475239e_name] : ( SV123 @ ( cons_P1213805021e_name @ SY758 @ nil_Pr743626285e_name ) )
| ~ ! [SY759: produc367475239e_name,SY760: produc367475239e_name,SY761: list_P227219501e_name] :
( ~ ( ( SY759 != SY760 )
| ( SV123 @ ( cons_P1213805021e_name @ SY759 @ SY761 ) ) )
| ~ ( ~ ( ( SY759 != SY760 ) )
| ( SV123 @ ( cons_P1213805021e_name @ SY760 @ SY761 ) ) )
| ( SV123 @ ( cons_P1213805021e_name @ SY759 @ ( cons_P1213805021e_name @ SY760 @ SY761 ) ) ) )
| ( SV123 @ SV235 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[858]) ).
thf(989,plain,
! [SV236: pi_Rep,SV124: name] :
( ( ! [SY955: name] :
( ~ ( fresh_name_pi_Rep @ SV124 @ SV236 )
| ~ ( fresh_name_pi_Rep @ SY955 @ SV236 )
| ( ( perm_name_pi_Rep @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV124 @ SY955 ) @ nil_Pr743626285e_name ) @ SV236 )
= SV236 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[859]) ).
thf(990,plain,
! [SV237: list_P227219501e_name,SV125: produc367475239e_name] :
( ( nil_Pr743626285e_name
!= ( cons_P1213805021e_name @ SV125 @ SV237 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[860]) ).
thf(991,plain,
! [SV238: name,SV126: name] :
( ( ! [SY956: name] :
( ~ ( fresh_name_name @ SV126 @ SV238 )
| ~ ( fresh_name_name @ SY956 @ SV238 )
| ( ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV126 @ SY956 ) @ nil_Pr743626285e_name ) @ SV238 )
= SV238 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[861]) ).
thf(992,plain,
! [SV239: late_residual,SV127: pi] :
( ( ! [SY957: list_P227219501e_name] :
( ~ ( late_transitions @ SV127 @ SV239 )
| ( late_transitions @ ( perm_name_pi @ SY957 @ SV127 ) @ ( perm_n414416632sidual @ SY957 @ SV239 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[862]) ).
thf(993,plain,
! [SV240: list_P227219501e_name,SV128: produc367475239e_name] :
( ( ! [SY958: produc367475239e_name,SY959: list_P227219501e_name] :
( ( ( cons_P1213805021e_name @ SV128 @ SV240 )
= ( cons_P1213805021e_name @ SY958 @ SY959 ) )
= ( ~ ( ( SV128 != SY958 )
| ( SV240 != SY959 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[863]) ).
thf(994,plain,
! [SV241: list_P227219501e_name,SV129: set_Pr443758855e_name] :
( ( ! [SY960: name,SY961: name] :
( ~ ( eqvt_name @ SV129 )
| ~ ( member695284560e_name @ ( produc1570949143e_name @ ( perm_name_name @ SV241 @ SY960 ) @ ( perm_name_name @ SV241 @ SY961 ) ) @ SV129 )
| ( member695284560e_name @ ( produc1570949143e_name @ SY960 @ SY961 ) @ SV129 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[864]) ).
thf(995,plain,
! [SV242: pi,SV130: name] :
( ( ! [SY962: name] :
( ~ ( fresh_name_pi @ SV130 @ SV242 )
| ~ ( fresh_name_pi @ SY962 @ SV242 )
| ( ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV130 @ SY962 ) @ nil_Pr743626285e_name ) @ SV242 )
= SV242 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[865]) ).
thf(996,plain,
! [SV243: pi,SV131: set_Pr1834926343_pi_pi] :
( ( ! [SY963: late_subject,SY964: name] :
( ~ ( ord_le630093991_pi_pi @ id_pi @ SV131 )
| ( strong2129052853vative @ SV243 @ SV243 @ SY963 @ SY964 @ SV131 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[866]) ).
thf(997,plain,
! [SV244: name,SV132: name] :
( ( ! [SY965: produc1141751126_pi_pi,SY966: name] :
( ~ ( ( SV132 != SV244 ) )
| ~ ( fresh_1376661020_pi_pi @ SV244 @ SY965 )
| ~ ( fresh_1376661020_pi_pi @ SV132 @ SY965 )
| ( fresh_1376661020_pi_pi @ SV132 @ ( perm_n1255502110_pi_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV244 @ SY966 ) @ nil_Pr743626285e_name ) @ SY965 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[867]) ).
thf(998,plain,
! [SV245: late_subject,SV133: name] :
( ( ! [SY967: name] :
( ~ ( fresh_717452603ubject @ SV133 @ SV245 )
| ~ ( fresh_717452603ubject @ SY967 @ SV245 )
| ( ( perm_n1559866809ubject @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV133 @ SY967 ) @ nil_Pr743626285e_name ) @ SV245 )
= SV245 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[868]) ).
thf(999,plain,
! [SV246: produc367475239e_name,SV134: produc367475239e_name > $o] :
( ( ~ ! [SY786: name,SY787: name] : ( SV134 @ ( produc1570949143e_name @ SY786 @ SY787 ) )
| ( SV134 @ SV246 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[869]) ).
thf(1000,plain,
! [SV247: late_subject,SV135: name,SV1: name] :
( ( ( perm_n1559866809ubject @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV1 @ SV135 ) @ nil_Pr743626285e_name ) @ ( perm_n1559866809ubject @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV1 @ SV135 ) @ nil_Pr743626285e_name ) @ SV247 ) )
= SV247 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[870]) ).
thf(1001,plain,
! [SV248: late_freeRes,SV136: name,SV2: name] :
( ( ( perm_n336613537reeRes @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV2 @ SV136 ) @ nil_Pr743626285e_name ) @ ( perm_n336613537reeRes @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV2 @ SV136 ) @ nil_Pr743626285e_name ) @ SV248 ) )
= SV248 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[871]) ).
thf(1002,plain,
! [SV249: pi_Rep,SV137: name,SV3: name] :
( ( ( perm_name_pi_Rep @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV3 @ SV137 ) @ nil_Pr743626285e_name ) @ ( perm_name_pi_Rep @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV3 @ SV137 ) @ nil_Pr743626285e_name ) @ SV249 ) )
= SV249 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[872]) ).
thf(1003,plain,
! [SV250: name,SV138: name,SV4: name] :
( ( ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV4 @ SV138 ) @ nil_Pr743626285e_name ) @ ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV4 @ SV138 ) @ nil_Pr743626285e_name ) @ SV250 ) )
= SV250 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[873]) ).
thf(1004,plain,
! [SV251: pi,SV139: name,SV5: name] :
( ( ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV5 @ SV139 ) @ nil_Pr743626285e_name ) @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV5 @ SV139 ) @ nil_Pr743626285e_name ) @ SV251 ) )
= SV251 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[874]) ).
thf(1005,plain,
! [SV252: late_subject,SV145: name,SV11: name] :
( ( ( perm_n1559866809ubject @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV11 @ SV145 ) @ nil_Pr743626285e_name ) @ SV252 )
= ( perm_n1559866809ubject @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV145 @ SV11 ) @ nil_Pr743626285e_name ) @ SV252 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[880]) ).
thf(1006,plain,
! [SV253: late_freeRes,SV146: name,SV12: name] :
( ( ( perm_n336613537reeRes @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV12 @ SV146 ) @ nil_Pr743626285e_name ) @ SV253 )
= ( perm_n336613537reeRes @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV146 @ SV12 ) @ nil_Pr743626285e_name ) @ SV253 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[881]) ).
thf(1007,plain,
! [SV254: pi_Rep,SV147: name,SV13: name] :
( ( ( perm_name_pi_Rep @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV13 @ SV147 ) @ nil_Pr743626285e_name ) @ SV254 )
= ( perm_name_pi_Rep @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV147 @ SV13 ) @ nil_Pr743626285e_name ) @ SV254 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[882]) ).
thf(1008,plain,
! [SV255: name,SV148: name,SV14: name] :
( ( ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV14 @ SV148 ) @ nil_Pr743626285e_name ) @ SV255 )
= ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV148 @ SV14 ) @ nil_Pr743626285e_name ) @ SV255 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[883]) ).
thf(1009,plain,
! [SV256: pi,SV149: name,SV15: name] :
( ( ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV15 @ SV149 ) @ nil_Pr743626285e_name ) @ SV256 )
= ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV149 @ SV15 ) @ nil_Pr743626285e_name ) @ SV256 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[884]) ).
thf(1010,plain,
! [SV257: late_subject,SV150: name,SV16: name] :
( ( ( perm_n1559866809ubject @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV16 @ SV150 ) @ nil_Pr743626285e_name ) @ ( perm_n1559866809ubject @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV16 @ SV150 ) @ nil_Pr743626285e_name ) @ SV257 ) )
= SV257 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[885]) ).
thf(1011,plain,
! [SV258: late_freeRes,SV151: name,SV17: name] :
( ( ( perm_n336613537reeRes @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV17 @ SV151 ) @ nil_Pr743626285e_name ) @ ( perm_n336613537reeRes @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV17 @ SV151 ) @ nil_Pr743626285e_name ) @ SV258 ) )
= SV258 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[886]) ).
thf(1012,plain,
! [SV259: pi_Rep,SV152: name,SV18: name] :
( ( ( perm_name_pi_Rep @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV18 @ SV152 ) @ nil_Pr743626285e_name ) @ ( perm_name_pi_Rep @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV18 @ SV152 ) @ nil_Pr743626285e_name ) @ SV259 ) )
= SV259 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[887]) ).
thf(1013,plain,
! [SV260: name,SV153: name,SV19: name] :
( ( ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV19 @ SV153 ) @ nil_Pr743626285e_name ) @ ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV19 @ SV153 ) @ nil_Pr743626285e_name ) @ SV260 ) )
= SV260 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[888]) ).
thf(1014,plain,
! [SV261: pi,SV154: name,SV20: name] :
( ( ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV20 @ SV154 ) @ nil_Pr743626285e_name ) @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV20 @ SV154 ) @ nil_Pr743626285e_name ) @ SV261 ) )
= SV261 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[889]) ).
thf(1015,plain,
! [SV262: late_subject,SV155: name,SV26: name] :
( ( ( perm_n1559866809ubject @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV26 @ SV155 ) @ nil_Pr743626285e_name ) @ ( perm_n1559866809ubject @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV155 @ SV26 ) @ nil_Pr743626285e_name ) @ SV262 ) )
= SV262 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[890]) ).
thf(1016,plain,
! [SV263: late_freeRes,SV156: name,SV27: name] :
( ( ( perm_n336613537reeRes @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV27 @ SV156 ) @ nil_Pr743626285e_name ) @ ( perm_n336613537reeRes @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV156 @ SV27 ) @ nil_Pr743626285e_name ) @ SV263 ) )
= SV263 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[891]) ).
thf(1017,plain,
! [SV264: pi_Rep,SV157: name,SV28: name] :
( ( ( perm_name_pi_Rep @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV28 @ SV157 ) @ nil_Pr743626285e_name ) @ ( perm_name_pi_Rep @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV157 @ SV28 ) @ nil_Pr743626285e_name ) @ SV264 ) )
= SV264 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[892]) ).
thf(1018,plain,
! [SV265: name,SV158: name,SV29: name] :
( ( ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV29 @ SV158 ) @ nil_Pr743626285e_name ) @ ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV158 @ SV29 ) @ nil_Pr743626285e_name ) @ SV265 ) )
= SV265 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[893]) ).
thf(1019,plain,
! [SV266: pi,SV159: name,SV30: name] :
( ( ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV30 @ SV159 ) @ nil_Pr743626285e_name ) @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV159 @ SV30 ) @ nil_Pr743626285e_name ) @ SV266 ) )
= SV266 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[894]) ).
thf(1020,plain,
! [SV160: name,SV31: name] :
( ( ~ ( ( ( late_BoundOutputS @ SV31 )
= ( late_BoundOutputS @ SV160 ) )
| ( SV31 = SV160 ) )
| ~ ( ( ( late_BoundOutputS @ SV31 )
!= ( late_BoundOutputS @ SV160 ) )
| ( SV31 != SV160 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[895]) ).
thf(1021,plain,
! [SV160: name,SV31: name] :
( ( ( ( late_BoundOutputS @ SV31 )
= ( late_BoundOutputS @ SV160 ) )
= ( SV31 = SV160 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[895]) ).
thf(1022,plain,
! [SV161: name,SV32: name] :
( ( ~ ( ( ( late_BoundOutputS @ SV32 )
= ( late_BoundOutputS @ SV161 ) )
| ( SV32 = SV161 ) )
| ~ ( ( ( late_BoundOutputS @ SV32 )
!= ( late_BoundOutputS @ SV161 ) )
| ( SV32 != SV161 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[896]) ).
thf(1023,plain,
! [SV161: name,SV32: name] :
( ( ( ( late_BoundOutputS @ SV32 )
= ( late_BoundOutputS @ SV161 ) )
= ( SV32 = SV161 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[896]) ).
thf(1024,plain,
! [SV267: pi,SV163: name,SV38: list_P227219501e_name] :
( ( ( perm_name_o @ SV38 @ ( fresh_name_pi @ SV163 @ SV267 ) )
= ( fresh_name_pi @ ( perm_name_name @ SV38 @ SV163 ) @ ( perm_name_pi @ SV38 @ SV267 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[898]) ).
thf(1025,plain,
! [SV268: pi,SV164: name,SV39: list_P227219501e_name] :
( ( ( fresh_name_pi @ ( perm_name_name @ SV39 @ SV164 ) @ ( perm_name_pi @ SV39 @ SV268 ) )
= ( fresh_name_pi @ SV164 @ SV268 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[899]) ).
thf(1026,plain,
! [SV269: pi,SV167: list_P227219501e_name,SV43: list_P227219501e_name] :
( ( ( perm_name_pi @ SV43 @ ( perm_name_pi @ SV167 @ SV269 ) )
= ( perm_name_pi @ ( perm_n1160739829e_name @ SV43 @ SV167 ) @ ( perm_name_pi @ SV43 @ SV269 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[902]) ).
thf(1027,plain,
! [SV270: pi,SV168: list_P227219501e_name,SV44: list_P227219501e_name] :
( ( ( perm_name_pi @ SV44 @ ( perm_name_pi @ SV168 @ SV270 ) )
= ( perm_name_pi @ ( perm_n1160739829e_name @ SV44 @ SV168 ) @ ( perm_name_pi @ SV44 @ SV270 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[903]) ).
thf(1028,plain,
! [SV271: pi,SV169: list_P227219501e_name,SV45: list_P227219501e_name] :
( ( ( perm_name_pi @ SV45 @ ( perm_name_pi @ SV169 @ SV271 ) )
= ( perm_name_pi @ ( perm_n1160739829e_name @ SV45 @ SV169 ) @ ( perm_name_pi @ SV45 @ SV271 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[904]) ).
thf(1029,plain,
! [SV272: pi,SV170: pi,SV46: list_P227219501e_name] :
( ( ( ( perm_name_pi @ SV46 @ SV170 )
= ( perm_name_pi @ SV46 @ SV272 ) )
= ( SV170 = SV272 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[905]) ).
thf(1030,plain,
! [SV273: pi,SV171: pi > late_subject,SV47: list_P227219501e_name] :
( ( ( perm_n1559866809ubject @ SV47 @ ( SV171 @ SV273 ) )
= ( perm_n190055296ubject @ SV47 @ SV171 @ ( perm_name_pi @ SV47 @ SV273 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[906]) ).
thf(1031,plain,
! [SV274: pi,SV172: pi > late_freeRes,SV48: list_P227219501e_name] :
( ( ( perm_n336613537reeRes @ SV48 @ ( SV172 @ SV274 ) )
= ( perm_n1333244520reeRes @ SV48 @ SV172 @ ( perm_name_pi @ SV48 @ SV274 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[907]) ).
thf(1032,plain,
! [SV275: set_pi,SV173: pi,SV49: list_P227219501e_name] :
( ( ( perm_name_o @ SV49 @ ( member_pi @ SV173 @ SV275 ) )
= ( member_pi @ ( perm_name_pi @ SV49 @ SV173 ) @ ( perm_name_set_pi @ SV49 @ SV275 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[908]) ).
thf(1033,plain,
! [SV276: pi,SV174: pi,SV50: list_P227219501e_name] :
( ( ( perm_name_o @ SV50 @ ( SV174 = SV276 ) )
= ( ( perm_name_pi @ SV50 @ SV174 )
= ( perm_name_pi @ SV50 @ SV276 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[909]) ).
thf(1034,plain,
! [SV175: name,SV51: name] :
( ( ~ ( ( member695284560e_name @ ( produc1570949143e_name @ SV51 @ SV175 ) @ id_name )
| ( SV51 = SV175 ) )
| ~ ( ~ ( member695284560e_name @ ( produc1570949143e_name @ SV51 @ SV175 ) @ id_name )
| ( SV51 != SV175 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[910]) ).
thf(1035,plain,
! [SV175: name,SV51: name] :
( ( ( member695284560e_name @ ( produc1570949143e_name @ SV51 @ SV175 ) @ id_name )
= ( SV51 = SV175 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[910]) ).
thf(1036,plain,
! [SV176: name,SV53: name] :
( ( ~ ( ( fresh_717452603ubject @ SV53 @ ( late_BoundOutputS @ SV176 ) )
| ( fresh_name_name @ SV53 @ SV176 ) )
| ~ ( ~ ( fresh_717452603ubject @ SV53 @ ( late_BoundOutputS @ SV176 ) )
| ~ ( fresh_name_name @ SV53 @ SV176 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[911]) ).
thf(1037,plain,
! [SV176: name,SV53: name] :
( ( ( fresh_717452603ubject @ SV53 @ ( late_BoundOutputS @ SV176 ) )
= ( fresh_name_name @ SV53 @ SV176 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[911]) ).
thf(1038,plain,
! [SV277: pi,SV177: late_subject,SV54: list_P227219501e_name] :
( ( ( perm_n359102898ect_pi @ SV54 @ ( produc324947500ect_pi @ SV177 @ SV277 ) )
= ( produc324947500ect_pi @ ( perm_n1559866809ubject @ SV54 @ SV177 ) @ ( perm_name_pi @ SV54 @ SV277 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[912]) ).
thf(1039,plain,
! [SV278: pi,SV178: late_freeRes,SV55: list_P227219501e_name] :
( ( ( perm_n1211707594Res_pi @ SV55 @ ( produc1177552196Res_pi @ SV178 @ SV278 ) )
= ( produc1177552196Res_pi @ ( perm_n336613537reeRes @ SV55 @ SV178 ) @ ( perm_name_pi @ SV55 @ SV278 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[913]) ).
thf(1040,plain,
! [SV279: list_pi,SV179: pi,SV56: list_P227219501e_name] :
( ( ( perm_name_list_pi @ SV56 @ ( cons_pi @ SV179 @ SV279 ) )
= ( cons_pi @ ( perm_name_pi @ SV56 @ SV179 ) @ ( perm_name_list_pi @ SV56 @ SV279 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[914]) ).
thf(1041,plain,
! [SV280: pi,SV180: pi,SV57: list_P227219501e_name] :
( ( ( perm_name_pi @ SV57 @ ( sum @ SV180 @ SV280 ) )
= ( sum @ ( perm_name_pi @ SV57 @ SV180 ) @ ( perm_name_pi @ SV57 @ SV280 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[915]) ).
thf(1042,plain,
! [SV281: pi,SV181: name,SV58: list_P227219501e_name] :
( ( ( perm_name_pi @ SV58 @ ( res @ SV181 @ SV281 ) )
= ( res @ ( perm_name_name @ SV58 @ SV181 ) @ ( perm_name_pi @ SV58 @ SV281 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[916]) ).
thf(1043,plain,
! [SV282: pi,SV182: late_freeRes,SV59: list_P227219501e_name] :
( ( ( perm_n414416632sidual @ SV59 @ ( late_FreeR @ SV182 @ SV282 ) )
= ( late_FreeR @ ( perm_n336613537reeRes @ SV59 @ SV182 ) @ ( perm_name_pi @ SV59 @ SV282 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[917]) ).
thf(1044,plain,
! [SV283: name,SV183: name,SV60: list_P227219501e_name] :
( ( ! [SY970: pi] :
( ( perm_name_pi @ SV60 @ ( input @ SV183 @ SV283 @ SY970 ) )
= ( input @ ( perm_name_name @ SV60 @ SV183 ) @ ( perm_name_name @ SV60 @ SV283 ) @ ( perm_name_pi @ SV60 @ SY970 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[918]) ).
thf(1045,plain,
! [SV284: pi,SV184: name,SV61: name] :
( ( ! [SY971: name,SY972: name,SY973: pi] :
~ ( late_transitions @ ( input @ SV61 @ SV184 @ SV284 ) @ ( late_BoundR @ ( late_BoundOutputS @ SY971 ) @ SY972 @ SY973 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[919]) ).
thf(1046,plain,
! [SV285: list_P227219501e_name,SV185: name,SV62: name] :
( ( ! [SY974: name] :
( ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV62 @ SV185 ) @ SV285 ) @ SY974 )
= ( swap_name @ ( produc1570949143e_name @ SV62 @ SV185 ) @ ( perm_name_name @ SV285 @ SY974 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[920]) ).
thf(1047,plain,
! [SV63: $o] :
( ( ( ~ ( SV63
| $true )
| ~ ( ~ SV63
| ~ $true ) )
= $true )
| ( ( SV63 = $false )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[921]) ).
thf(1048,plain,
! [SV63: $o] :
( ( ( SV63 = $true )
= $true )
| ( ( SV63 = $false )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[921]) ).
thf(1049,plain,
( ( ( ~ ( $true
| $true )
| ~ ( ~ $true
| ~ $true ) )
= $true )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[922]) ).
thf(1050,plain,
( ( ( $true = $true )
= $true )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[922]) ).
thf(1051,plain,
( ( ( ~ ( $false
| $true )
| ~ ( ~ $false
| ~ $true ) )
= $true )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[923]) ).
thf(1052,plain,
( ( ( $false = $true )
= $true )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[923]) ).
thf(1053,plain,
! [SV286: list_P227219501e_name,SV186: list_P227219501e_name,SV64: list_P227219501e_name > list_P227219501e_name > $o] :
( ( ~ ! [SY558: list_P227219501e_name] : ( SV64 @ nil_Pr743626285e_name @ SY558 )
| ~ ! [SY559: produc367475239e_name,SY560: list_P227219501e_name,SY561: list_P227219501e_name] :
( ~ ( SV64 @ SY561 @ SY560 )
| ( SV64 @ ( cons_P1213805021e_name @ SY559 @ SY560 ) @ SY561 ) )
| ( SV64 @ SV186 @ SV286 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[924]) ).
thf(1054,plain,
! [SV287: list_P227219501e_name,SV187: list_P227219501e_name,SV65: list_P227219501e_name > list_P227219501e_name > $o] :
( ( ~ ( SV65 @ nil_Pr743626285e_name @ nil_Pr743626285e_name )
| ~ ! [SY564: produc367475239e_name,SY565: list_P227219501e_name] : ( SV65 @ ( cons_P1213805021e_name @ SY564 @ SY565 ) @ nil_Pr743626285e_name )
| ~ ! [SY566: produc367475239e_name,SY567: list_P227219501e_name] : ( SV65 @ nil_Pr743626285e_name @ ( cons_P1213805021e_name @ SY566 @ SY567 ) )
| ~ ! [SY568: produc367475239e_name,SY569: list_P227219501e_name,SY570: produc367475239e_name,SY571: list_P227219501e_name] :
( ~ ( SV65 @ SY569 @ SY571 )
| ( SV65 @ ( cons_P1213805021e_name @ SY568 @ SY569 ) @ ( cons_P1213805021e_name @ SY570 @ SY571 ) ) )
| ( SV65 @ SV187 @ SV287 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[925]) ).
thf(1055,plain,
! [SV288: list_P227219501e_name,SV188: pi,SV66: pi] :
( ( ( SV66 != SV188 )
| ( ( perm_name_pi @ SV288 @ SV66 )
= ( perm_name_pi @ SV288 @ SV188 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[926]) ).
thf(1056,plain,
! [SV289: pi,SV189: set_Pr1834926343_pi_pi,SV67: pi] :
( ( ! [SY987: set_Pr1834926343_pi_pi,SY988: list_P227219501e_name] :
( ~ ( strong743114133lation @ SV67 @ SV189 @ SV289 )
| ~ ( ord_le630093991_pi_pi @ SV189 @ SY987 )
| ~ ( eqvt_pi @ SY987 )
| ( strong743114133lation @ ( perm_name_pi @ SY988 @ SV67 ) @ SY987 @ ( perm_name_pi @ SY988 @ SV289 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[927]) ).
thf(1057,plain,
! [SV290: pi,SV190: list_P227219501e_name,SV68: name] :
( ( ~ ( fresh_922791155e_name @ SV68 @ SV190 )
| ~ ( fresh_name_pi @ SV68 @ SV290 )
| ( fresh_name_pi @ SV68 @ ( perm_name_pi @ SV190 @ SV290 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[928]) ).
thf(1058,plain,
! [SV69: list_P227219501e_name] :
( ( ( SV69 != nil_Pr743626285e_name )
= $false )
| ( ( ~ ! [SY580: produc367475239e_name] :
( SV69
!= ( cons_P1213805021e_name @ SY580 @ nil_Pr743626285e_name ) )
| ~ ! [SY581: produc367475239e_name,SY582: produc367475239e_name,SY583: list_P227219501e_name] :
( SV69
!= ( cons_P1213805021e_name @ SY581 @ ( cons_P1213805021e_name @ SY582 @ SY583 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[929]) ).
thf(1059,plain,
! [SV291: list_P227219501e_name,SV191: produc367475239e_name > produc367475239e_name > $o,SV70: ( produc367475239e_name > produc367475239e_name > $o ) > list_P227219501e_name > $o] :
( ( ~ ! [SY586: produc367475239e_name > produc367475239e_name > $o] : ( SV70 @ SY586 @ nil_Pr743626285e_name )
| ~ ! [SY587: produc367475239e_name > produc367475239e_name > $o,SY588: produc367475239e_name,SY589: list_P227219501e_name] :
( ~ ( SV70 @ SY587 @ SY589 )
| ( SV70 @ SY587 @ ( cons_P1213805021e_name @ SY588 @ SY589 ) ) )
| ( SV70 @ SV191 @ SV291 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[930]) ).
thf(1060,plain,
! [SV292: list_P227219501e_name,SV192: produc367475239e_name > produc367475239e_name,SV71: ( produc367475239e_name > produc367475239e_name ) > list_P227219501e_name > list_P227219501e_name > $o] :
( ( ! [SY993: list_P227219501e_name] :
( ~ ! [SY593: produc367475239e_name > produc367475239e_name,SY594: list_P227219501e_name] : ( SV71 @ SY593 @ nil_Pr743626285e_name @ SY594 )
| ~ ! [SY595: produc367475239e_name > produc367475239e_name,SY596: produc367475239e_name,SY597: list_P227219501e_name,SY598: list_P227219501e_name] :
( ~ ( SV71 @ SY595 @ SY597 @ ( cons_P1213805021e_name @ ( SY595 @ SY596 ) @ SY598 ) )
| ( SV71 @ SY595 @ ( cons_P1213805021e_name @ SY596 @ SY597 ) @ SY598 ) )
| ( SV71 @ SV192 @ SV292 @ SY993 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[931]) ).
thf(1061,plain,
! [SV72: list_l1406151091e_name] :
( ( ( SV72 != nil_li29751603e_name )
= $false )
| ( ( ~ ! [SY599: list_l1406151091e_name] :
( SV72
!= ( cons_l798145763e_name @ nil_Pr743626285e_name @ SY599 ) )
| ~ ! [SY600: produc367475239e_name,SY601: list_P227219501e_name,SY602: list_l1406151091e_name] :
( SV72
!= ( cons_l798145763e_name @ ( cons_P1213805021e_name @ SY600 @ SY601 ) @ SY602 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[932]) ).
thf(1062,plain,
! [SV73: produc367475239e_name] :
( ( ! [SY1000: name] :
( SV73
!= ( produc1570949143e_name @ ( sK1_SY603 @ SV73 ) @ SY1000 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[933]) ).
thf(1063,plain,
! [SV293: pi,SV193: list_P227219501e_name,SV74: $o] :
( ( ! [SY1001: pi] :
~ ( ~ ( ~ SV74
| ( ( perm_name_pi @ SV193 @ ( if_pi @ SV74 @ SV293 @ SY1001 ) )
= ( perm_name_pi @ SV193 @ SV293 ) ) )
| ~ ( ~ ~ SV74
| ( ( perm_name_pi @ SV193 @ ( if_pi @ SV74 @ SV293 @ SY1001 ) )
= ( perm_name_pi @ SV193 @ SY1001 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[934]) ).
thf(1064,plain,
! [SV294: pi,SV194: list_P227219501e_name] :
( ( ! [SY1002: pi] :
~ ( ~ ( ~ $true
| ( ( perm_name_pi @ SV194 @ ( if_pi @ $true @ SV294 @ SY1002 ) )
= ( perm_name_pi @ SV194 @ SV294 ) ) )
| ~ ( ~ ~ $true
| ( ( perm_name_pi @ SV194 @ ( if_pi @ $true @ SV294 @ SY1002 ) )
= ( perm_name_pi @ SV194 @ SY1002 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[935]) ).
thf(1065,plain,
! [SV295: pi,SV195: list_P227219501e_name] :
( ( ! [SY1003: pi] :
~ ( ~ ( ~ $false
| ( ( perm_name_pi @ SV195 @ ( if_pi @ $false @ SV295 @ SY1003 ) )
= ( perm_name_pi @ SV195 @ SV295 ) ) )
| ~ ( ~ ~ $false
| ( ( perm_name_pi @ SV195 @ ( if_pi @ $false @ SV295 @ SY1003 ) )
= ( perm_name_pi @ SV195 @ SY1003 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[936]) ).
thf(1066,plain,
! [SV296: name,SV196: name,SV75: name] :
( ( ~ ( fresh_441084397e_name @ SV75 @ ( produc1570949143e_name @ SV196 @ SV296 ) )
| ( fresh_name_name @ SV75 @ SV296 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[937]) ).
thf(1067,plain,
! [SV297: name,SV197: name,SV76: name] :
( ( ! [SY1004: name] :
( ( ( produc1570949143e_name @ SV76 @ SV197 )
= ( produc1570949143e_name @ SV297 @ SY1004 ) )
= ( ~ ( ( SV76 != SV297 )
| ( SV197 != SY1004 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[938]) ).
thf(1068,plain,
! [SV298: name,SV198: name,SV77: name] :
( ( ! [SY1005: name] :
( ( ( produc1570949143e_name @ SV77 @ SV198 )
!= ( produc1570949143e_name @ SV298 @ SY1005 ) )
| ~ ( ( SV77 != SV298 )
| ( SV198 != SY1005 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[939]) ).
thf(1069,plain,
! [SV299: pi,SV199: pi,SV78: set_Pr1834926343_pi_pi] :
( ( ! [SY1006: list_P227219501e_name] :
( ~ ( eqvt_pi @ SV78 )
| ~ ( member558706512_pi_pi @ ( product_Pair_pi_pi @ SV199 @ SV299 ) @ SV78 )
| ( member558706512_pi_pi @ ( product_Pair_pi_pi @ ( perm_name_pi @ SY1006 @ SV199 ) @ ( perm_name_pi @ SY1006 @ SV299 ) ) @ SV78 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[940]) ).
thf(1070,plain,
! [SV79: produc890461031e_name] :
( ( ( ! [SY619: list_P227219501e_name] :
( SV79
!= ( produc208131031e_name @ nil_Pr743626285e_name @ SY619 ) ) )
= $false )
| ( ( ~ ! [SY620: list_P227219501e_name] :
( SV79
!= ( produc208131031e_name @ SY620 @ nil_Pr743626285e_name ) )
| ~ ! [SY621: produc367475239e_name,SY622: list_P227219501e_name,SY623: produc367475239e_name,SY624: list_P227219501e_name] :
( SV79
!= ( produc208131031e_name @ ( cons_P1213805021e_name @ SY621 @ SY622 ) @ ( cons_P1213805021e_name @ SY623 @ SY624 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[941]) ).
thf(1071,plain,
! [SV200: set_Pr443758855e_name,SV80: set_Pr443758855e_name] :
( ( ( ~ ! [SY877: name,SY878: name] :
( ~ ( member695284560e_name @ ( produc1570949143e_name @ SY877 @ SY878 ) @ SV80 )
| ( member695284560e_name @ ( produc1570949143e_name @ SY877 @ SY878 ) @ SV200 ) ) )
= $true )
| ( ( ord_le793202855e_name @ SV80 @ SV200 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[942]) ).
thf(1072,plain,
! [SV300: late_subject,SV201: name,SV81: name] :
( ( ! [SY1007: name] :
( ~ ( ( SV81 != SV201 ) )
| ~ ( fresh_717452603ubject @ SV201 @ SV300 )
| ~ ( fresh_717452603ubject @ SV81 @ SV300 )
| ( fresh_717452603ubject @ SV81 @ ( perm_n1559866809ubject @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV201 @ SY1007 ) @ nil_Pr743626285e_name ) @ SV300 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[943]) ).
thf(1073,plain,
! [SV202: list_P227219501e_name,SV82: produc367475239e_name] :
( ( ( cons_P1213805021e_name @ SV82 @ SV202 )
= SV202 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[944]) ).
thf(1074,plain,
! [SV301: pi,SV203: name,SV83: name] :
( ( ! [SY1008: name] :
( ~ ( ( SV83 != SV203 ) )
| ~ ( fresh_name_pi @ SV203 @ SV301 )
| ~ ( fresh_name_pi @ SV83 @ SV301 )
| ( fresh_name_pi @ SV83 @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV203 @ SY1008 ) @ nil_Pr743626285e_name ) @ SV301 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[945]) ).
thf(1075,plain,
! [SV302: name,SV204: pi,SV84: name] :
( ( ~ ( fresh_name_pi @ SV84 @ SV204 )
| ~ ( fresh_name_pi @ SV302 @ SV204 )
| ( ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV84 @ SV302 ) @ nil_Pr743626285e_name ) @ SV204 )
= SV204 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[946]) ).
thf(1076,plain,
! [SV85: list_P227219501e_name] :
( ( ( SV85 != nil_Pr743626285e_name )
= $false )
| ( ( ~ ! [SY637: produc367475239e_name,SY638: list_P227219501e_name] :
( SV85
!= ( cons_P1213805021e_name @ SY637 @ SY638 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[947]) ).
thf(1077,plain,
! [SV86: list_P227219501e_name > $o] :
( ( ( ! [SY639: list_P227219501e_name] : ( SV86 @ SY639 ) )
= $false )
| ( ( SV86 @ nil_Pr743626285e_name )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[948]) ).
thf(1078,plain,
! [SV303: name,SV205: name,SV87: name] :
( ( ~ ( ( SV87 != SV205 ) )
| ~ ( ( SV303 != SV205 ) )
| ( ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV87 @ SV303 ) @ nil_Pr743626285e_name ) @ SV205 )
= SV205 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[949]) ).
thf(1079,plain,
! [SV304: late_subject,SV206: pi,SV88: pi] :
( ( ! [SY1009: name,SY1010: set_Pr1834926343_pi_pi,SY1011: set_Pr1834926343_pi_pi] :
( ~ ( strong2129052853vative @ SV88 @ SV206 @ SV304 @ SY1009 @ SY1010 )
| ~ ( ord_le630093991_pi_pi @ SY1010 @ SY1011 )
| ( strong2129052853vative @ SV88 @ SV206 @ SV304 @ SY1009 @ SY1011 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[950]) ).
thf(1080,plain,
! [SV305: list_P227219501e_name,SV207: produc367475239e_name > produc367475239e_name > $o,SV89: ( produc367475239e_name > produc367475239e_name > $o ) > list_P227219501e_name > $o] :
( ( ~ ! [SY649: produc367475239e_name > produc367475239e_name > $o] : ( SV89 @ SY649 @ nil_Pr743626285e_name )
| ~ ! [SY650: produc367475239e_name > produc367475239e_name > $o,SY651: produc367475239e_name] : ( SV89 @ SY650 @ ( cons_P1213805021e_name @ SY651 @ nil_Pr743626285e_name ) )
| ~ ! [SY652: produc367475239e_name > produc367475239e_name > $o,SY653: produc367475239e_name,SY654: produc367475239e_name,SY655: list_P227219501e_name] :
( ~ ( SV89 @ SY652 @ ( cons_P1213805021e_name @ SY654 @ SY655 ) )
| ( SV89 @ SY652 @ ( cons_P1213805021e_name @ SY653 @ ( cons_P1213805021e_name @ SY654 @ SY655 ) ) ) )
| ( SV89 @ SV207 @ SV305 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[951]) ).
thf(1081,plain,
! [SV306: late_subject,SV208: pi,SV90: pi] :
( ( ! [SY1019: name,SY1020: set_Pr1834926343_pi_pi,SY1021: list_P227219501e_name] :
( ~ ( strong2129052853vative @ SV90 @ SV208 @ SV306 @ SY1019 @ SY1020 )
| ~ ( eqvt_pi @ SY1020 )
| ( strong2129052853vative @ ( perm_name_pi @ SY1021 @ SV90 ) @ ( perm_name_pi @ SY1021 @ SV208 ) @ SV306 @ ( perm_name_name @ SY1021 @ SY1019 ) @ SY1020 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[952]) ).
thf(1082,plain,
! [SV209: list_P227219501e_name > $o,SV91: list_P227219501e_name] :
( ( ( ~ ( ( SV91 != nil_Pr743626285e_name ) ) )
= $true )
| ( ( ~ ! [SY901: produc367475239e_name] : ( SV209 @ ( cons_P1213805021e_name @ SY901 @ nil_Pr743626285e_name ) )
| ~ ! [SY902: produc367475239e_name,SY903: list_P227219501e_name] :
( ~ ( ( SY903 != nil_Pr743626285e_name ) )
| ~ ( SV209 @ SY903 )
| ( SV209 @ ( cons_P1213805021e_name @ SY902 @ SY903 ) ) )
| ( SV209 @ SV91 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[953]) ).
thf(1083,plain,
! [SV307: pi,SV210: list_P227219501e_name,SV92: set_Pr1834926343_pi_pi] :
( ( ! [SY1022: pi] :
( ~ ( eqvt_pi @ SV92 )
| ~ ( member558706512_pi_pi @ ( product_Pair_pi_pi @ ( perm_name_pi @ SV210 @ SV307 ) @ ( perm_name_pi @ SV210 @ SY1022 ) ) @ SV92 )
| ( member558706512_pi_pi @ ( product_Pair_pi_pi @ SV307 @ SY1022 ) @ SV92 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[954]) ).
thf(1084,plain,
! [SV308: name,SV211: produc1141751126_pi_pi,SV93: name] :
( ( ~ ( fresh_1376661020_pi_pi @ SV93 @ SV211 )
| ~ ( fresh_1376661020_pi_pi @ SV308 @ SV211 )
| ( ( perm_n1255502110_pi_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV93 @ SV308 ) @ nil_Pr743626285e_name ) @ SV211 )
= SV211 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[955]) ).
thf(1085,plain,
! [SV309: name,SV212: name,SV94: name] :
( ( ! [SY1023: name] :
( ~ ( ( SV94 != SV212 ) )
| ~ ( fresh_name_name @ SV212 @ SV309 )
| ~ ( fresh_name_name @ SV94 @ SV309 )
| ( fresh_name_name @ SV94 @ ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV212 @ SY1023 ) @ nil_Pr743626285e_name ) @ SV309 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[956]) ).
thf(1086,plain,
! [SV310: late_freeRes,SV213: name,SV95: name] :
( ( ! [SY1024: name] :
( ~ ( ( SV95 != SV213 ) )
| ~ ( fresh_1641682979reeRes @ SV213 @ SV310 )
| ~ ( fresh_1641682979reeRes @ SV95 @ SV310 )
| ( fresh_1641682979reeRes @ SV95 @ ( perm_n336613537reeRes @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV213 @ SY1024 ) @ nil_Pr743626285e_name ) @ SV310 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[957]) ).
thf(1087,plain,
! [SV96: produc1872410278e_name] :
( ( ( ! [SY676: produc367475239e_name > produc367475239e_name > $o] :
( SV96
!= ( produc1069608854e_name @ SY676 @ nil_Pr743626285e_name ) ) )
= $false )
| ( ( ~ ! [SY677: produc367475239e_name > produc367475239e_name > $o,SY678: produc367475239e_name] :
( SV96
!= ( produc1069608854e_name @ SY677 @ ( cons_P1213805021e_name @ SY678 @ nil_Pr743626285e_name ) ) )
| ~ ! [SY679: produc367475239e_name > produc367475239e_name > $o,SY680: produc367475239e_name,SY681: produc367475239e_name,SY682: list_P227219501e_name] :
( SV96
!= ( produc1069608854e_name @ SY679 @ ( cons_P1213805021e_name @ SY680 @ ( cons_P1213805021e_name @ SY681 @ SY682 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[958]) ).
thf(1088,plain,
! [SV311: list_P227219501e_name,SV214: list_P227219501e_name,SV97: list_P227219501e_name > list_P227219501e_name > $o] :
( ( ~ ! [SY685: list_P227219501e_name] : ( SV97 @ nil_Pr743626285e_name @ SY685 )
| ~ ! [SY686: list_P227219501e_name] : ( SV97 @ SY686 @ nil_Pr743626285e_name )
| ~ ! [SY687: produc367475239e_name,SY688: list_P227219501e_name,SY689: produc367475239e_name,SY690: list_P227219501e_name] :
( ~ ( SV97 @ SY688 @ ( cons_P1213805021e_name @ SY689 @ SY690 ) )
| ~ ( SV97 @ ( cons_P1213805021e_name @ SY687 @ SY688 ) @ SY690 )
| ( SV97 @ ( cons_P1213805021e_name @ SY687 @ SY688 ) @ ( cons_P1213805021e_name @ SY689 @ SY690 ) ) )
| ( SV97 @ SV214 @ SV311 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[959]) ).
thf(1089,plain,
! [SV312: pi_Rep,SV215: name,SV98: name] :
( ( ! [SY1031: name] :
( ~ ( ( SV98 != SV215 ) )
| ~ ( fresh_name_pi_Rep @ SV215 @ SV312 )
| ~ ( fresh_name_pi_Rep @ SV98 @ SV312 )
| ( fresh_name_pi_Rep @ SV98 @ ( perm_name_pi_Rep @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV215 @ SY1031 ) @ nil_Pr743626285e_name ) @ SV312 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[960]) ).
thf(1090,plain,
! [SV313: name,SV216: late_freeRes,SV99: name] :
( ( ~ ( fresh_1641682979reeRes @ SV99 @ SV216 )
| ~ ( fresh_1641682979reeRes @ SV313 @ SV216 )
| ( ( perm_n336613537reeRes @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV99 @ SV313 ) @ nil_Pr743626285e_name ) @ SV216 )
= SV216 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[961]) ).
thf(1091,plain,
! [SV314: list_P227219501e_name,SV217: produc367475239e_name,SV100: list_P227219501e_name] :
( ( ( SV100
!= ( cons_P1213805021e_name @ SV217 @ SV314 ) )
| ( SV100 != nil_Pr743626285e_name ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[962]) ).
thf(1092,plain,
! [SV218: name,SV101: name] :
( ( ( late_InputS @ SV101 )
= ( late_BoundOutputS @ SV218 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[963]) ).
thf(1093,plain,
! [SV315: name,SV219: name,SV102: set_Pr443758855e_name] :
( ( ! [SY1032: list_P227219501e_name] :
( ~ ( eqvt_name @ SV102 )
| ~ ( member695284560e_name @ ( produc1570949143e_name @ SV219 @ SV315 ) @ SV102 )
| ( member695284560e_name @ ( produc1570949143e_name @ ( perm_name_name @ SY1032 @ SV219 ) @ ( perm_name_name @ SY1032 @ SV315 ) ) @ SV102 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[964]) ).
thf(1094,plain,
! [SV103: produc1872410278e_name] :
( ( ( ! [SY702: produc367475239e_name > produc367475239e_name > $o] :
( SV103
!= ( produc1069608854e_name @ SY702 @ nil_Pr743626285e_name ) ) )
= $false )
| ( ( ~ ! [SY703: produc367475239e_name > produc367475239e_name > $o,SY704: produc367475239e_name,SY705: list_P227219501e_name] :
( SV103
!= ( produc1069608854e_name @ SY703 @ ( cons_P1213805021e_name @ SY704 @ SY705 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[965]) ).
thf(1095,plain,
! [SV220: list_P227219501e_name,SV104: list_P227219501e_name > $o] :
( ( ( ~ ( SV104 @ nil_Pr743626285e_name ) )
= $true )
| ( ( ~ ! [SY707: produc367475239e_name,SY708: list_P227219501e_name] :
( ~ ( SV104 @ SY708 )
| ( SV104 @ ( cons_P1213805021e_name @ SY707 @ SY708 ) ) )
| ( SV104 @ SV220 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[966]) ).
thf(1096,plain,
! [SV316: pi,SV221: $o,SV105: list_P227219501e_name] :
( ( ! [SY1033: pi] :
~ ( ~ ( ~ ( perm_name_o @ SV105 @ SV221 )
| ( ( perm_name_pi @ SV105 @ ( if_pi @ SV221 @ SV316 @ SY1033 ) )
= ( perm_name_pi @ SV105 @ SV316 ) ) )
| ~ ( ~ ~ ( perm_name_o @ SV105 @ SV221 )
| ( ( perm_name_pi @ SV105 @ ( if_pi @ SV221 @ SV316 @ SY1033 ) )
= ( perm_name_pi @ SV105 @ SY1033 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[967]) ).
thf(1097,plain,
! [SV317: pi,SV105: list_P227219501e_name] :
( ( ! [SY1034: pi] :
~ ( ~ ( ~ ( perm_name_o @ SV105 @ $true )
| ( ( perm_name_pi @ SV105 @ ( if_pi @ $true @ SV317 @ SY1034 ) )
= ( perm_name_pi @ SV105 @ SV317 ) ) )
| ~ ( ~ ~ ( perm_name_o @ SV105 @ $true )
| ( ( perm_name_pi @ SV105 @ ( if_pi @ $true @ SV317 @ SY1034 ) )
= ( perm_name_pi @ SV105 @ SY1034 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[968]) ).
thf(1098,plain,
! [SV318: pi,SV105: list_P227219501e_name] :
( ( ! [SY1035: pi] :
~ ( ~ ( ~ ( perm_name_o @ SV105 @ $false )
| ( ( perm_name_pi @ SV105 @ ( if_pi @ $false @ SV318 @ SY1035 ) )
= ( perm_name_pi @ SV105 @ SV318 ) ) )
| ~ ( ~ ~ ( perm_name_o @ SV105 @ $false )
| ( ( perm_name_pi @ SV105 @ ( if_pi @ $false @ SV318 @ SY1035 ) )
= ( perm_name_pi @ SV105 @ SY1035 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[969]) ).
thf(1099,plain,
! [SV319: name,SV222: produc1141751126_pi_pi,SV106: name] :
( ( ~ ( fresh_1376661020_pi_pi @ SV106 @ SV222 )
| ~ ( fresh_1376661020_pi_pi @ SV319 @ SV222 )
| ( ( perm_n1255502110_pi_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV106 @ SV319 ) @ nil_Pr743626285e_name ) @ SV222 )
= SV222 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[970]) ).
thf(1100,plain,
! [SV107: produc367475239e_name] :
( ( ( member695284560e_name @ SV107 @ id_name )
= $false )
| ( ( ~ ! [SY714: name] :
( SV107
!= ( produc1570949143e_name @ SY714 @ SY714 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[971]) ).
thf(1101,plain,
! [SV320: name,SV223: pi,SV108: name] :
( ( ~ ( fresh_name_pi @ SV108 @ SV223 )
| ( ( res @ SV320 @ SV223 )
= ( res @ SV108 @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV320 @ SV108 ) @ nil_Pr743626285e_name ) @ SV223 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[972]) ).
thf(1102,plain,
! [SV109: list_P227219501e_name] :
( ( ( ~ ( ( SV109 != nil_Pr743626285e_name )
| ~ ! [SY717: produc367475239e_name] :
~ ~ ! [SY718: list_P227219501e_name] :
( SV109
!= ( cons_P1213805021e_name @ SY717 @ SY718 ) ) ) )
= $true )
| ( ( ~ ( ~ ( ( SV109 != nil_Pr743626285e_name ) )
| ~ ~ ! [SY717: produc367475239e_name] :
~ ~ ! [SY718: list_P227219501e_name] :
( SV109
!= ( cons_P1213805021e_name @ SY717 @ SY718 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[973]) ).
thf(1103,plain,
! [SV321: name,SV224: late_freeRes,SV110: name] :
( ( ~ ( fresh_1641682979reeRes @ SV110 @ SV224 )
| ~ ( fresh_1641682979reeRes @ SV321 @ SV224 )
| ( ( perm_n336613537reeRes @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV110 @ SV321 ) @ nil_Pr743626285e_name ) @ SV224 )
= SV224 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[975]) ).
thf(1104,plain,
! [SV322: name,SV225: name,SV111: name] :
( ( ~ ( fresh_name_name @ SV111 @ SV225 )
| ~ ( fresh_name_name @ SV322 @ SV225 )
| ( ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV111 @ SV322 ) @ nil_Pr743626285e_name ) @ SV225 )
= SV225 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[976]) ).
thf(1105,plain,
! [SV323: late_subject,SV226: pi,SV112: name] :
( ( ! [SY1036: name] :
( ~ ( fresh_name_pi @ SV112 @ SV226 )
| ( ( late_BoundR @ SV323 @ SY1036 @ SV226 )
= ( late_BoundR @ SV323 @ SV112 @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SY1036 @ SV112 ) @ nil_Pr743626285e_name ) @ SV226 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[977]) ).
thf(1106,plain,
! [SV324: name,SV227: pi,SV113: name] :
( ( ! [SY1037: name] :
( ~ ( fresh_name_pi @ SV113 @ SV227 )
| ( ( input @ SV324 @ SY1037 @ SV227 )
= ( input @ SV324 @ SV113 @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SY1037 @ SV113 ) @ nil_Pr743626285e_name ) @ SV227 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[978]) ).
thf(1107,plain,
! [SV325: name,SV228: pi_Rep,SV114: name] :
( ( ~ ( fresh_name_pi_Rep @ SV114 @ SV228 )
| ~ ( fresh_name_pi_Rep @ SV325 @ SV228 )
| ( ( perm_name_pi_Rep @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV114 @ SV325 ) @ nil_Pr743626285e_name ) @ SV228 )
= SV228 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[979]) ).
thf(1108,plain,
! [SV326: name,SV229: name,SV115: name] :
( ( ~ ( fresh_441084397e_name @ SV115 @ ( produc1570949143e_name @ SV229 @ SV326 ) )
| ( fresh_name_name @ SV115 @ SV229 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[980]) ).
thf(1109,plain,
! [SV116: produc367475239e_name] :
( ( ~ ~ ! [SY1038: name] :
( SV116
!= ( produc1570949143e_name @ ( sK2_SY733 @ SV116 ) @ SY1038 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[981]) ).
thf(1110,plain,
! [SV230: list_P227219501e_name,SV117: list_P227219501e_name > $o] :
( ( ( ~ ( SV117 @ nil_Pr743626285e_name ) )
= $true )
| ( ( ~ ! [SY736: produc367475239e_name] : ( SV117 @ ( cons_P1213805021e_name @ SY736 @ nil_Pr743626285e_name ) )
| ~ ! [SY737: produc367475239e_name,SY738: produc367475239e_name,SY739: list_P227219501e_name] :
( ~ ( SV117 @ SY739 )
| ~ ( SV117 @ ( cons_P1213805021e_name @ SY738 @ SY739 ) )
| ( SV117 @ ( cons_P1213805021e_name @ SY737 @ ( cons_P1213805021e_name @ SY738 @ SY739 ) ) ) )
| ( SV117 @ SV230 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[982]) ).
thf(1111,plain,
! [SV118: produc890461031e_name] :
( ( ( ! [SY740: list_P227219501e_name] :
( SV118
!= ( produc208131031e_name @ nil_Pr743626285e_name @ SY740 ) ) )
= $false )
| ( ( ~ ! [SY741: produc367475239e_name,SY742: list_P227219501e_name,SY743: list_P227219501e_name] :
( SV118
!= ( produc208131031e_name @ ( cons_P1213805021e_name @ SY741 @ SY742 ) @ SY743 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[983]) ).
thf(1112,plain,
! [SV327: name,SV231: name,SV119: name] :
( ( ! [SY1039: name] :
( ( ( produc1570949143e_name @ SV119 @ SV231 )
= ( produc1570949143e_name @ SV327 @ SY1039 ) )
= ( ~ ( ( SV119 != SV327 )
| ( SV231 != SY1039 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[984]) ).
thf(1113,plain,
! [SV328: name,SV232: late_subject,SV120: name] :
( ( ~ ( fresh_717452603ubject @ SV120 @ SV232 )
| ~ ( fresh_717452603ubject @ SV328 @ SV232 )
| ( ( perm_n1559866809ubject @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV120 @ SV328 ) @ nil_Pr743626285e_name ) @ SV232 )
= SV232 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[985]) ).
thf(1114,plain,
! [SV329: late_subject,SV233: pi,SV121: pi] :
( ( ! [SY1040: name,SY1041: set_Pr1834926343_pi_pi,SY1042: list_P227219501e_name] :
( ~ ( strong2129052853vative @ SV121 @ SV233 @ SV329 @ SY1040 @ SY1041 )
| ~ ( eqvt_pi @ SY1041 )
| ( strong2129052853vative @ ( perm_name_pi @ SY1042 @ SV121 ) @ ( perm_name_pi @ SY1042 @ SV233 ) @ ( perm_n1559866809ubject @ SY1042 @ SV329 ) @ ( perm_name_name @ SY1042 @ SY1040 ) @ SY1041 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[986]) ).
thf(1115,plain,
! [SV234: produc367475239e_name,SV122: produc367475239e_name > $o] :
( ( ( ~ ! [SY755: name,SY756: name] : ( SV122 @ ( produc1570949143e_name @ SY755 @ SY756 ) ) )
= $true )
| ( ( SV122 @ SV234 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[987]) ).
thf(1116,plain,
! [SV235: list_P227219501e_name,SV123: list_P227219501e_name > $o] :
( ( ( ~ ( SV123 @ nil_Pr743626285e_name ) )
= $true )
| ( ( ~ ! [SY758: produc367475239e_name] : ( SV123 @ ( cons_P1213805021e_name @ SY758 @ nil_Pr743626285e_name ) )
| ~ ! [SY759: produc367475239e_name,SY760: produc367475239e_name,SY761: list_P227219501e_name] :
( ~ ( ( SY759 != SY760 )
| ( SV123 @ ( cons_P1213805021e_name @ SY759 @ SY761 ) ) )
| ~ ( ~ ( ( SY759 != SY760 ) )
| ( SV123 @ ( cons_P1213805021e_name @ SY760 @ SY761 ) ) )
| ( SV123 @ ( cons_P1213805021e_name @ SY759 @ ( cons_P1213805021e_name @ SY760 @ SY761 ) ) ) )
| ( SV123 @ SV235 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[988]) ).
thf(1117,plain,
! [SV330: name,SV236: pi_Rep,SV124: name] :
( ( ~ ( fresh_name_pi_Rep @ SV124 @ SV236 )
| ~ ( fresh_name_pi_Rep @ SV330 @ SV236 )
| ( ( perm_name_pi_Rep @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV124 @ SV330 ) @ nil_Pr743626285e_name ) @ SV236 )
= SV236 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[989]) ).
thf(1118,plain,
! [SV237: list_P227219501e_name,SV125: produc367475239e_name] :
( ( nil_Pr743626285e_name
= ( cons_P1213805021e_name @ SV125 @ SV237 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[990]) ).
thf(1119,plain,
! [SV331: name,SV238: name,SV126: name] :
( ( ~ ( fresh_name_name @ SV126 @ SV238 )
| ~ ( fresh_name_name @ SV331 @ SV238 )
| ( ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV126 @ SV331 ) @ nil_Pr743626285e_name ) @ SV238 )
= SV238 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[991]) ).
thf(1120,plain,
! [SV332: list_P227219501e_name,SV239: late_residual,SV127: pi] :
( ( ~ ( late_transitions @ SV127 @ SV239 )
| ( late_transitions @ ( perm_name_pi @ SV332 @ SV127 ) @ ( perm_n414416632sidual @ SV332 @ SV239 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[992]) ).
thf(1121,plain,
! [SV333: produc367475239e_name,SV240: list_P227219501e_name,SV128: produc367475239e_name] :
( ( ! [SY1043: list_P227219501e_name] :
( ( ( cons_P1213805021e_name @ SV128 @ SV240 )
= ( cons_P1213805021e_name @ SV333 @ SY1043 ) )
= ( ~ ( ( SV128 != SV333 )
| ( SV240 != SY1043 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[993]) ).
thf(1122,plain,
! [SV334: name,SV241: list_P227219501e_name,SV129: set_Pr443758855e_name] :
( ( ! [SY1044: name] :
( ~ ( eqvt_name @ SV129 )
| ~ ( member695284560e_name @ ( produc1570949143e_name @ ( perm_name_name @ SV241 @ SV334 ) @ ( perm_name_name @ SV241 @ SY1044 ) ) @ SV129 )
| ( member695284560e_name @ ( produc1570949143e_name @ SV334 @ SY1044 ) @ SV129 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[994]) ).
thf(1123,plain,
! [SV335: name,SV242: pi,SV130: name] :
( ( ~ ( fresh_name_pi @ SV130 @ SV242 )
| ~ ( fresh_name_pi @ SV335 @ SV242 )
| ( ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV130 @ SV335 ) @ nil_Pr743626285e_name ) @ SV242 )
= SV242 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[995]) ).
thf(1124,plain,
! [SV336: late_subject,SV243: pi,SV131: set_Pr1834926343_pi_pi] :
( ( ! [SY1045: name] :
( ~ ( ord_le630093991_pi_pi @ id_pi @ SV131 )
| ( strong2129052853vative @ SV243 @ SV243 @ SV336 @ SY1045 @ SV131 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[996]) ).
thf(1125,plain,
! [SV337: produc1141751126_pi_pi,SV244: name,SV132: name] :
( ( ! [SY1046: name] :
( ~ ( ( SV132 != SV244 ) )
| ~ ( fresh_1376661020_pi_pi @ SV244 @ SV337 )
| ~ ( fresh_1376661020_pi_pi @ SV132 @ SV337 )
| ( fresh_1376661020_pi_pi @ SV132 @ ( perm_n1255502110_pi_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV244 @ SY1046 ) @ nil_Pr743626285e_name ) @ SV337 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[997]) ).
thf(1126,plain,
! [SV338: name,SV245: late_subject,SV133: name] :
( ( ~ ( fresh_717452603ubject @ SV133 @ SV245 )
| ~ ( fresh_717452603ubject @ SV338 @ SV245 )
| ( ( perm_n1559866809ubject @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV133 @ SV338 ) @ nil_Pr743626285e_name ) @ SV245 )
= SV245 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[998]) ).
thf(1127,plain,
! [SV246: produc367475239e_name,SV134: produc367475239e_name > $o] :
( ( ( ~ ! [SY786: name,SY787: name] : ( SV134 @ ( produc1570949143e_name @ SY786 @ SY787 ) ) )
= $true )
| ( ( SV134 @ SV246 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[999]) ).
thf(1128,plain,
! [SV160: name,SV31: name] :
( ( ( ~ ( ( ( late_BoundOutputS @ SV31 )
= ( late_BoundOutputS @ SV160 ) )
| ( SV31 = SV160 ) ) )
= $true )
| ( ( ~ ( ( ( late_BoundOutputS @ SV31 )
!= ( late_BoundOutputS @ SV160 ) )
| ( SV31 != SV160 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1020]) ).
thf(1129,plain,
! [SV161: name,SV32: name] :
( ( ( ~ ( ( ( late_BoundOutputS @ SV32 )
= ( late_BoundOutputS @ SV161 ) )
| ( SV32 = SV161 ) ) )
= $true )
| ( ( ~ ( ( ( late_BoundOutputS @ SV32 )
!= ( late_BoundOutputS @ SV161 ) )
| ( SV32 != SV161 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1022]) ).
thf(1130,plain,
! [SV267: pi,SV163: name,SV38: list_P227219501e_name] :
( ( ~ ( ( perm_name_o @ SV38 @ ( fresh_name_pi @ SV163 @ SV267 ) )
| ( fresh_name_pi @ ( perm_name_name @ SV38 @ SV163 ) @ ( perm_name_pi @ SV38 @ SV267 ) ) )
| ~ ( ~ ( perm_name_o @ SV38 @ ( fresh_name_pi @ SV163 @ SV267 ) )
| ~ ( fresh_name_pi @ ( perm_name_name @ SV38 @ SV163 ) @ ( perm_name_pi @ SV38 @ SV267 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1024]) ).
thf(1131,plain,
! [SV267: pi,SV163: name,SV38: list_P227219501e_name] :
( ( ( perm_name_o @ SV38 @ ( fresh_name_pi @ SV163 @ SV267 ) )
= ( fresh_name_pi @ ( perm_name_name @ SV38 @ SV163 ) @ ( perm_name_pi @ SV38 @ SV267 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1024]) ).
thf(1132,plain,
! [SV268: pi,SV164: name,SV39: list_P227219501e_name] :
( ( ~ ( ( fresh_name_pi @ ( perm_name_name @ SV39 @ SV164 ) @ ( perm_name_pi @ SV39 @ SV268 ) )
| ( fresh_name_pi @ SV164 @ SV268 ) )
| ~ ( ~ ( fresh_name_pi @ ( perm_name_name @ SV39 @ SV164 ) @ ( perm_name_pi @ SV39 @ SV268 ) )
| ~ ( fresh_name_pi @ SV164 @ SV268 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1025]) ).
thf(1133,plain,
! [SV268: pi,SV164: name,SV39: list_P227219501e_name] :
( ( ( fresh_name_pi @ ( perm_name_name @ SV39 @ SV164 ) @ ( perm_name_pi @ SV39 @ SV268 ) )
= ( fresh_name_pi @ SV164 @ SV268 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1025]) ).
thf(1134,plain,
! [SV272: pi,SV170: pi,SV46: list_P227219501e_name] :
( ( ~ ( ( ( perm_name_pi @ SV46 @ SV170 )
= ( perm_name_pi @ SV46 @ SV272 ) )
| ( SV170 = SV272 ) )
| ~ ( ( ( perm_name_pi @ SV46 @ SV170 )
!= ( perm_name_pi @ SV46 @ SV272 ) )
| ( SV170 != SV272 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1029]) ).
thf(1135,plain,
! [SV272: pi,SV170: pi,SV46: list_P227219501e_name] :
( ( ( ( perm_name_pi @ SV46 @ SV170 )
= ( perm_name_pi @ SV46 @ SV272 ) )
= ( SV170 = SV272 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1029]) ).
thf(1136,plain,
! [SV275: set_pi,SV173: pi,SV49: list_P227219501e_name] :
( ( ~ ( ( perm_name_o @ SV49 @ ( member_pi @ SV173 @ SV275 ) )
| ( member_pi @ ( perm_name_pi @ SV49 @ SV173 ) @ ( perm_name_set_pi @ SV49 @ SV275 ) ) )
| ~ ( ~ ( perm_name_o @ SV49 @ ( member_pi @ SV173 @ SV275 ) )
| ~ ( member_pi @ ( perm_name_pi @ SV49 @ SV173 ) @ ( perm_name_set_pi @ SV49 @ SV275 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1032]) ).
thf(1137,plain,
! [SV275: set_pi,SV173: pi,SV49: list_P227219501e_name] :
( ( ( perm_name_o @ SV49 @ ( member_pi @ SV173 @ SV275 ) )
= ( member_pi @ ( perm_name_pi @ SV49 @ SV173 ) @ ( perm_name_set_pi @ SV49 @ SV275 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1032]) ).
thf(1138,plain,
! [SV276: pi,SV174: pi,SV50: list_P227219501e_name] :
( ( ~ ( ( perm_name_o @ SV50 @ ( SV174 = SV276 ) )
| ( ( perm_name_pi @ SV50 @ SV174 )
= ( perm_name_pi @ SV50 @ SV276 ) ) )
| ~ ( ~ ( perm_name_o @ SV50 @ ( SV174 = SV276 ) )
| ( ( perm_name_pi @ SV50 @ SV174 )
!= ( perm_name_pi @ SV50 @ SV276 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1033]) ).
thf(1139,plain,
! [SV276: pi,SV174: pi,SV50: list_P227219501e_name] :
( ( ( perm_name_o @ SV50 @ ( SV174 = SV276 ) )
= ( ( perm_name_pi @ SV50 @ SV174 )
= ( perm_name_pi @ SV50 @ SV276 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1033]) ).
thf(1140,plain,
! [SV175: name,SV51: name] :
( ( ( ~ ( ( member695284560e_name @ ( produc1570949143e_name @ SV51 @ SV175 ) @ id_name )
| ( SV51 = SV175 ) ) )
= $true )
| ( ( ~ ( ~ ( member695284560e_name @ ( produc1570949143e_name @ SV51 @ SV175 ) @ id_name )
| ( SV51 != SV175 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1034]) ).
thf(1141,plain,
! [SV176: name,SV53: name] :
( ( ( ~ ( ( fresh_717452603ubject @ SV53 @ ( late_BoundOutputS @ SV176 ) )
| ( fresh_name_name @ SV53 @ SV176 ) ) )
= $true )
| ( ( ~ ( ~ ( fresh_717452603ubject @ SV53 @ ( late_BoundOutputS @ SV176 ) )
| ~ ( fresh_name_name @ SV53 @ SV176 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1036]) ).
thf(1142,plain,
! [SV339: pi,SV283: name,SV183: name,SV60: list_P227219501e_name] :
( ( ( perm_name_pi @ SV60 @ ( input @ SV183 @ SV283 @ SV339 ) )
= ( input @ ( perm_name_name @ SV60 @ SV183 ) @ ( perm_name_name @ SV60 @ SV283 ) @ ( perm_name_pi @ SV60 @ SV339 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1044]) ).
thf(1143,plain,
! [SV340: name,SV284: pi,SV184: name,SV61: name] :
( ( ! [SY1047: name,SY1048: pi] :
~ ( late_transitions @ ( input @ SV61 @ SV184 @ SV284 ) @ ( late_BoundR @ ( late_BoundOutputS @ SV340 ) @ SY1047 @ SY1048 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1045]) ).
thf(1144,plain,
! [SV341: name,SV285: list_P227219501e_name,SV185: name,SV62: name] :
( ( ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV62 @ SV185 ) @ SV285 ) @ SV341 )
= ( swap_name @ ( produc1570949143e_name @ SV62 @ SV185 ) @ ( perm_name_name @ SV285 @ SV341 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1046]) ).
thf(1145,plain,
! [SV63: $o] :
( ( ( ~ ( SV63
| $true ) )
= $true )
| ( ( ~ ( ~ SV63
| ~ $true ) )
= $true )
| ( ( SV63 = $false )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1047]) ).
thf(1146,plain,
! [SV63: $o] :
( ( ( ~ ( SV63
| $false )
| ~ ( ~ SV63
| ~ $false ) )
= $true )
| ( ( SV63 = $true )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1048]) ).
thf(1147,plain,
! [SV63: $o] :
( ( ( SV63 = $false )
= $true )
| ( ( SV63 = $true )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1048]) ).
thf(1148,plain,
( ( ( ~ ( $true
| $true ) )
= $true )
| ( ( ~ ( ~ $true
| ~ $true ) )
= $true )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1049]) ).
thf(1149,plain,
( ( ( ~ ( $true
| $false )
| ~ ( ~ $true
| ~ $false ) )
= $true )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1050]) ).
thf(1150,plain,
( ( ( $true = $false )
= $true )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1050]) ).
thf(1151,plain,
( ( ( ~ ( $false
| $true ) )
= $true )
| ( ( ~ ( ~ $false
| ~ $true ) )
= $true )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1051]) ).
thf(1152,plain,
( ( ( ~ ( $false
| $false )
| ~ ( ~ $false
| ~ $false ) )
= $true )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1052]) ).
thf(1153,plain,
( ( ( $false = $false )
= $true )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1052]) ).
thf(1154,plain,
! [SV286: list_P227219501e_name,SV186: list_P227219501e_name,SV64: list_P227219501e_name > list_P227219501e_name > $o] :
( ( ( ~ ! [SY558: list_P227219501e_name] : ( SV64 @ nil_Pr743626285e_name @ SY558 ) )
= $true )
| ( ( ~ ! [SY559: produc367475239e_name,SY560: list_P227219501e_name,SY561: list_P227219501e_name] :
( ~ ( SV64 @ SY561 @ SY560 )
| ( SV64 @ ( cons_P1213805021e_name @ SY559 @ SY560 ) @ SY561 ) )
| ( SV64 @ SV186 @ SV286 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1053]) ).
thf(1155,plain,
! [SV287: list_P227219501e_name,SV187: list_P227219501e_name,SV65: list_P227219501e_name > list_P227219501e_name > $o] :
( ( ( ~ ( SV65 @ nil_Pr743626285e_name @ nil_Pr743626285e_name ) )
= $true )
| ( ( ~ ! [SY564: produc367475239e_name,SY565: list_P227219501e_name] : ( SV65 @ ( cons_P1213805021e_name @ SY564 @ SY565 ) @ nil_Pr743626285e_name )
| ~ ! [SY566: produc367475239e_name,SY567: list_P227219501e_name] : ( SV65 @ nil_Pr743626285e_name @ ( cons_P1213805021e_name @ SY566 @ SY567 ) )
| ~ ! [SY568: produc367475239e_name,SY569: list_P227219501e_name,SY570: produc367475239e_name,SY571: list_P227219501e_name] :
( ~ ( SV65 @ SY569 @ SY571 )
| ( SV65 @ ( cons_P1213805021e_name @ SY568 @ SY569 ) @ ( cons_P1213805021e_name @ SY570 @ SY571 ) ) )
| ( SV65 @ SV187 @ SV287 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1054]) ).
thf(1156,plain,
! [SV288: list_P227219501e_name,SV188: pi,SV66: pi] :
( ( ( SV66 != SV188 )
= $true )
| ( ( ( perm_name_pi @ SV288 @ SV66 )
= ( perm_name_pi @ SV288 @ SV188 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1055]) ).
thf(1157,plain,
! [SV342: set_Pr1834926343_pi_pi,SV289: pi,SV189: set_Pr1834926343_pi_pi,SV67: pi] :
( ( ! [SY1049: list_P227219501e_name] :
( ~ ( strong743114133lation @ SV67 @ SV189 @ SV289 )
| ~ ( ord_le630093991_pi_pi @ SV189 @ SV342 )
| ~ ( eqvt_pi @ SV342 )
| ( strong743114133lation @ ( perm_name_pi @ SY1049 @ SV67 ) @ SV342 @ ( perm_name_pi @ SY1049 @ SV289 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1056]) ).
thf(1158,plain,
! [SV290: pi,SV190: list_P227219501e_name,SV68: name] :
( ( ( ~ ( fresh_922791155e_name @ SV68 @ SV190 ) )
= $true )
| ( ( ~ ( fresh_name_pi @ SV68 @ SV290 )
| ( fresh_name_pi @ SV68 @ ( perm_name_pi @ SV190 @ SV290 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1057]) ).
thf(1159,plain,
! [SV69: list_P227219501e_name] :
( ( ( SV69 = nil_Pr743626285e_name )
= $true )
| ( ( ~ ! [SY580: produc367475239e_name] :
( SV69
!= ( cons_P1213805021e_name @ SY580 @ nil_Pr743626285e_name ) )
| ~ ! [SY581: produc367475239e_name,SY582: produc367475239e_name,SY583: list_P227219501e_name] :
( SV69
!= ( cons_P1213805021e_name @ SY581 @ ( cons_P1213805021e_name @ SY582 @ SY583 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1058]) ).
thf(1160,plain,
! [SV291: list_P227219501e_name,SV191: produc367475239e_name > produc367475239e_name > $o,SV70: ( produc367475239e_name > produc367475239e_name > $o ) > list_P227219501e_name > $o] :
( ( ( ~ ! [SY586: produc367475239e_name > produc367475239e_name > $o] : ( SV70 @ SY586 @ nil_Pr743626285e_name ) )
= $true )
| ( ( ~ ! [SY587: produc367475239e_name > produc367475239e_name > $o,SY588: produc367475239e_name,SY589: list_P227219501e_name] :
( ~ ( SV70 @ SY587 @ SY589 )
| ( SV70 @ SY587 @ ( cons_P1213805021e_name @ SY588 @ SY589 ) ) )
| ( SV70 @ SV191 @ SV291 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1059]) ).
thf(1161,plain,
! [SV343: list_P227219501e_name,SV292: list_P227219501e_name,SV192: produc367475239e_name > produc367475239e_name,SV71: ( produc367475239e_name > produc367475239e_name ) > list_P227219501e_name > list_P227219501e_name > $o] :
( ( ~ ! [SY593: produc367475239e_name > produc367475239e_name,SY594: list_P227219501e_name] : ( SV71 @ SY593 @ nil_Pr743626285e_name @ SY594 )
| ~ ! [SY595: produc367475239e_name > produc367475239e_name,SY596: produc367475239e_name,SY597: list_P227219501e_name,SY598: list_P227219501e_name] :
( ~ ( SV71 @ SY595 @ SY597 @ ( cons_P1213805021e_name @ ( SY595 @ SY596 ) @ SY598 ) )
| ( SV71 @ SY595 @ ( cons_P1213805021e_name @ SY596 @ SY597 ) @ SY598 ) )
| ( SV71 @ SV192 @ SV292 @ SV343 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1060]) ).
thf(1162,plain,
! [SV72: list_l1406151091e_name] :
( ( ( SV72 = nil_li29751603e_name )
= $true )
| ( ( ~ ! [SY599: list_l1406151091e_name] :
( SV72
!= ( cons_l798145763e_name @ nil_Pr743626285e_name @ SY599 ) )
| ~ ! [SY600: produc367475239e_name,SY601: list_P227219501e_name,SY602: list_l1406151091e_name] :
( SV72
!= ( cons_l798145763e_name @ ( cons_P1213805021e_name @ SY600 @ SY601 ) @ SY602 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1061]) ).
thf(1163,plain,
! [SV73: produc367475239e_name] :
( ( SV73
!= ( produc1570949143e_name @ ( sK1_SY603 @ SV73 ) @ ( sK3_SY1000 @ SV73 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[1062]) ).
thf(1164,plain,
! [SV344: pi,SV293: pi,SV193: list_P227219501e_name,SV74: $o] :
( ( ~ ( ~ ( ~ SV74
| ( ( perm_name_pi @ SV193 @ ( if_pi @ SV74 @ SV293 @ SV344 ) )
= ( perm_name_pi @ SV193 @ SV293 ) ) )
| ~ ( ~ ~ SV74
| ( ( perm_name_pi @ SV193 @ ( if_pi @ SV74 @ SV293 @ SV344 ) )
= ( perm_name_pi @ SV193 @ SV344 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1063]) ).
thf(1165,plain,
! [SV345: pi,SV294: pi,SV194: list_P227219501e_name] :
( ( ~ ( ~ ( ~ $true
| ( ( perm_name_pi @ SV194 @ ( if_pi @ $true @ SV294 @ SV345 ) )
= ( perm_name_pi @ SV194 @ SV294 ) ) )
| ~ ( ~ ~ $true
| ( ( perm_name_pi @ SV194 @ ( if_pi @ $true @ SV294 @ SV345 ) )
= ( perm_name_pi @ SV194 @ SV345 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1064]) ).
thf(1166,plain,
! [SV346: pi,SV295: pi,SV195: list_P227219501e_name] :
( ( ~ ( ~ ( ~ $false
| ( ( perm_name_pi @ SV195 @ ( if_pi @ $false @ SV295 @ SV346 ) )
= ( perm_name_pi @ SV195 @ SV295 ) ) )
| ~ ( ~ ~ $false
| ( ( perm_name_pi @ SV195 @ ( if_pi @ $false @ SV295 @ SV346 ) )
= ( perm_name_pi @ SV195 @ SV346 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1065]) ).
thf(1167,plain,
! [SV296: name,SV196: name,SV75: name] :
( ( ( ~ ( fresh_441084397e_name @ SV75 @ ( produc1570949143e_name @ SV196 @ SV296 ) ) )
= $true )
| ( ( fresh_name_name @ SV75 @ SV296 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1066]) ).
thf(1168,plain,
! [SV347: name,SV297: name,SV197: name,SV76: name] :
( ( ( ( produc1570949143e_name @ SV76 @ SV197 )
= ( produc1570949143e_name @ SV297 @ SV347 ) )
= ( ~ ( ( SV76 != SV297 )
| ( SV197 != SV347 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1067]) ).
thf(1169,plain,
! [SV348: name,SV298: name,SV198: name,SV77: name] :
( ( ( ( produc1570949143e_name @ SV77 @ SV198 )
!= ( produc1570949143e_name @ SV298 @ SV348 ) )
| ~ ( ( SV77 != SV298 )
| ( SV198 != SV348 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1068]) ).
thf(1170,plain,
! [SV349: list_P227219501e_name,SV299: pi,SV199: pi,SV78: set_Pr1834926343_pi_pi] :
( ( ~ ( eqvt_pi @ SV78 )
| ~ ( member558706512_pi_pi @ ( product_Pair_pi_pi @ SV199 @ SV299 ) @ SV78 )
| ( member558706512_pi_pi @ ( product_Pair_pi_pi @ ( perm_name_pi @ SV349 @ SV199 ) @ ( perm_name_pi @ SV349 @ SV299 ) ) @ SV78 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1069]) ).
thf(1171,plain,
! [SV79: produc890461031e_name] :
( ( ( SV79
!= ( produc208131031e_name @ nil_Pr743626285e_name @ ( sK4_SY619 @ SV79 ) ) )
= $false )
| ( ( ~ ! [SY620: list_P227219501e_name] :
( SV79
!= ( produc208131031e_name @ SY620 @ nil_Pr743626285e_name ) )
| ~ ! [SY621: produc367475239e_name,SY622: list_P227219501e_name,SY623: produc367475239e_name,SY624: list_P227219501e_name] :
( SV79
!= ( produc208131031e_name @ ( cons_P1213805021e_name @ SY621 @ SY622 ) @ ( cons_P1213805021e_name @ SY623 @ SY624 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1070]) ).
thf(1172,plain,
! [SV200: set_Pr443758855e_name,SV80: set_Pr443758855e_name] :
( ( ( ! [SY877: name,SY878: name] :
( ~ ( member695284560e_name @ ( produc1570949143e_name @ SY877 @ SY878 ) @ SV80 )
| ( member695284560e_name @ ( produc1570949143e_name @ SY877 @ SY878 ) @ SV200 ) ) )
= $false )
| ( ( ord_le793202855e_name @ SV80 @ SV200 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1071]) ).
thf(1173,plain,
! [SV350: name,SV300: late_subject,SV201: name,SV81: name] :
( ( ~ ( ( SV81 != SV201 ) )
| ~ ( fresh_717452603ubject @ SV201 @ SV300 )
| ~ ( fresh_717452603ubject @ SV81 @ SV300 )
| ( fresh_717452603ubject @ SV81 @ ( perm_n1559866809ubject @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV201 @ SV350 ) @ nil_Pr743626285e_name ) @ SV300 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1072]) ).
thf(1174,plain,
! [SV351: name,SV301: pi,SV203: name,SV83: name] :
( ( ~ ( ( SV83 != SV203 ) )
| ~ ( fresh_name_pi @ SV203 @ SV301 )
| ~ ( fresh_name_pi @ SV83 @ SV301 )
| ( fresh_name_pi @ SV83 @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV203 @ SV351 ) @ nil_Pr743626285e_name ) @ SV301 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1074]) ).
thf(1175,plain,
! [SV302: name,SV204: pi,SV84: name] :
( ( ( ~ ( fresh_name_pi @ SV84 @ SV204 ) )
= $true )
| ( ( ~ ( fresh_name_pi @ SV302 @ SV204 )
| ( ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV84 @ SV302 ) @ nil_Pr743626285e_name ) @ SV204 )
= SV204 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1075]) ).
thf(1176,plain,
! [SV85: list_P227219501e_name] :
( ( ( SV85 = nil_Pr743626285e_name )
= $true )
| ( ( ~ ! [SY637: produc367475239e_name,SY638: list_P227219501e_name] :
( SV85
!= ( cons_P1213805021e_name @ SY637 @ SY638 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1076]) ).
thf(1177,plain,
! [SV86: list_P227219501e_name > $o] :
( ( ( SV86 @ ( sK5_SY639 @ SV86 ) )
= $false )
| ( ( SV86 @ nil_Pr743626285e_name )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1077]) ).
thf(1178,plain,
! [SV303: name,SV205: name,SV87: name] :
( ( ( ~ ( ( SV87 != SV205 ) ) )
= $true )
| ( ( ~ ( ( SV303 != SV205 ) )
| ( ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV87 @ SV303 ) @ nil_Pr743626285e_name ) @ SV205 )
= SV205 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1078]) ).
thf(1179,plain,
! [SV352: name,SV304: late_subject,SV206: pi,SV88: pi] :
( ( ! [SY1056: set_Pr1834926343_pi_pi,SY1057: set_Pr1834926343_pi_pi] :
( ~ ( strong2129052853vative @ SV88 @ SV206 @ SV304 @ SV352 @ SY1056 )
| ~ ( ord_le630093991_pi_pi @ SY1056 @ SY1057 )
| ( strong2129052853vative @ SV88 @ SV206 @ SV304 @ SV352 @ SY1057 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1079]) ).
thf(1180,plain,
! [SV305: list_P227219501e_name,SV207: produc367475239e_name > produc367475239e_name > $o,SV89: ( produc367475239e_name > produc367475239e_name > $o ) > list_P227219501e_name > $o] :
( ( ( ~ ! [SY649: produc367475239e_name > produc367475239e_name > $o] : ( SV89 @ SY649 @ nil_Pr743626285e_name ) )
= $true )
| ( ( ~ ! [SY650: produc367475239e_name > produc367475239e_name > $o,SY651: produc367475239e_name] : ( SV89 @ SY650 @ ( cons_P1213805021e_name @ SY651 @ nil_Pr743626285e_name ) )
| ~ ! [SY652: produc367475239e_name > produc367475239e_name > $o,SY653: produc367475239e_name,SY654: produc367475239e_name,SY655: list_P227219501e_name] :
( ~ ( SV89 @ SY652 @ ( cons_P1213805021e_name @ SY654 @ SY655 ) )
| ( SV89 @ SY652 @ ( cons_P1213805021e_name @ SY653 @ ( cons_P1213805021e_name @ SY654 @ SY655 ) ) ) )
| ( SV89 @ SV207 @ SV305 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1080]) ).
thf(1181,plain,
! [SV353: name,SV306: late_subject,SV208: pi,SV90: pi] :
( ( ! [SY1058: set_Pr1834926343_pi_pi,SY1059: list_P227219501e_name] :
( ~ ( strong2129052853vative @ SV90 @ SV208 @ SV306 @ SV353 @ SY1058 )
| ~ ( eqvt_pi @ SY1058 )
| ( strong2129052853vative @ ( perm_name_pi @ SY1059 @ SV90 ) @ ( perm_name_pi @ SY1059 @ SV208 ) @ SV306 @ ( perm_name_name @ SY1059 @ SV353 ) @ SY1058 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1081]) ).
thf(1182,plain,
! [SV209: list_P227219501e_name > $o,SV91: list_P227219501e_name] :
( ( ( SV91 != nil_Pr743626285e_name )
= $false )
| ( ( ~ ! [SY901: produc367475239e_name] : ( SV209 @ ( cons_P1213805021e_name @ SY901 @ nil_Pr743626285e_name ) )
| ~ ! [SY902: produc367475239e_name,SY903: list_P227219501e_name] :
( ~ ( ( SY903 != nil_Pr743626285e_name ) )
| ~ ( SV209 @ SY903 )
| ( SV209 @ ( cons_P1213805021e_name @ SY902 @ SY903 ) ) )
| ( SV209 @ SV91 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1082]) ).
thf(1183,plain,
! [SV354: pi,SV307: pi,SV210: list_P227219501e_name,SV92: set_Pr1834926343_pi_pi] :
( ( ~ ( eqvt_pi @ SV92 )
| ~ ( member558706512_pi_pi @ ( product_Pair_pi_pi @ ( perm_name_pi @ SV210 @ SV307 ) @ ( perm_name_pi @ SV210 @ SV354 ) ) @ SV92 )
| ( member558706512_pi_pi @ ( product_Pair_pi_pi @ SV307 @ SV354 ) @ SV92 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1083]) ).
thf(1184,plain,
! [SV308: name,SV211: produc1141751126_pi_pi,SV93: name] :
( ( ( ~ ( fresh_1376661020_pi_pi @ SV93 @ SV211 ) )
= $true )
| ( ( ~ ( fresh_1376661020_pi_pi @ SV308 @ SV211 )
| ( ( perm_n1255502110_pi_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV93 @ SV308 ) @ nil_Pr743626285e_name ) @ SV211 )
= SV211 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1084]) ).
thf(1185,plain,
! [SV355: name,SV309: name,SV212: name,SV94: name] :
( ( ~ ( ( SV94 != SV212 ) )
| ~ ( fresh_name_name @ SV212 @ SV309 )
| ~ ( fresh_name_name @ SV94 @ SV309 )
| ( fresh_name_name @ SV94 @ ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV212 @ SV355 ) @ nil_Pr743626285e_name ) @ SV309 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1085]) ).
thf(1186,plain,
! [SV356: name,SV310: late_freeRes,SV213: name,SV95: name] :
( ( ~ ( ( SV95 != SV213 ) )
| ~ ( fresh_1641682979reeRes @ SV213 @ SV310 )
| ~ ( fresh_1641682979reeRes @ SV95 @ SV310 )
| ( fresh_1641682979reeRes @ SV95 @ ( perm_n336613537reeRes @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV213 @ SV356 ) @ nil_Pr743626285e_name ) @ SV310 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1086]) ).
thf(1187,plain,
! [SV96: produc1872410278e_name] :
( ( ( SV96
!= ( produc1069608854e_name @ ( sK6_SY676 @ SV96 ) @ nil_Pr743626285e_name ) )
= $false )
| ( ( ~ ! [SY677: produc367475239e_name > produc367475239e_name > $o,SY678: produc367475239e_name] :
( SV96
!= ( produc1069608854e_name @ SY677 @ ( cons_P1213805021e_name @ SY678 @ nil_Pr743626285e_name ) ) )
| ~ ! [SY679: produc367475239e_name > produc367475239e_name > $o,SY680: produc367475239e_name,SY681: produc367475239e_name,SY682: list_P227219501e_name] :
( SV96
!= ( produc1069608854e_name @ SY679 @ ( cons_P1213805021e_name @ SY680 @ ( cons_P1213805021e_name @ SY681 @ SY682 ) ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1087]) ).
thf(1188,plain,
! [SV311: list_P227219501e_name,SV214: list_P227219501e_name,SV97: list_P227219501e_name > list_P227219501e_name > $o] :
( ( ( ~ ! [SY685: list_P227219501e_name] : ( SV97 @ nil_Pr743626285e_name @ SY685 ) )
= $true )
| ( ( ~ ! [SY686: list_P227219501e_name] : ( SV97 @ SY686 @ nil_Pr743626285e_name )
| ~ ! [SY687: produc367475239e_name,SY688: list_P227219501e_name,SY689: produc367475239e_name,SY690: list_P227219501e_name] :
( ~ ( SV97 @ SY688 @ ( cons_P1213805021e_name @ SY689 @ SY690 ) )
| ~ ( SV97 @ ( cons_P1213805021e_name @ SY687 @ SY688 ) @ SY690 )
| ( SV97 @ ( cons_P1213805021e_name @ SY687 @ SY688 ) @ ( cons_P1213805021e_name @ SY689 @ SY690 ) ) )
| ( SV97 @ SV214 @ SV311 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1088]) ).
thf(1189,plain,
! [SV357: name,SV312: pi_Rep,SV215: name,SV98: name] :
( ( ~ ( ( SV98 != SV215 ) )
| ~ ( fresh_name_pi_Rep @ SV215 @ SV312 )
| ~ ( fresh_name_pi_Rep @ SV98 @ SV312 )
| ( fresh_name_pi_Rep @ SV98 @ ( perm_name_pi_Rep @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV215 @ SV357 ) @ nil_Pr743626285e_name ) @ SV312 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1089]) ).
thf(1190,plain,
! [SV313: name,SV216: late_freeRes,SV99: name] :
( ( ( ~ ( fresh_1641682979reeRes @ SV99 @ SV216 ) )
= $true )
| ( ( ~ ( fresh_1641682979reeRes @ SV313 @ SV216 )
| ( ( perm_n336613537reeRes @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV99 @ SV313 ) @ nil_Pr743626285e_name ) @ SV216 )
= SV216 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1090]) ).
thf(1191,plain,
! [SV314: list_P227219501e_name,SV217: produc367475239e_name,SV100: list_P227219501e_name] :
( ( ( SV100
!= ( cons_P1213805021e_name @ SV217 @ SV314 ) )
= $true )
| ( ( SV100 != nil_Pr743626285e_name )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1091]) ).
thf(1192,plain,
! [SV358: list_P227219501e_name,SV315: name,SV219: name,SV102: set_Pr443758855e_name] :
( ( ~ ( eqvt_name @ SV102 )
| ~ ( member695284560e_name @ ( produc1570949143e_name @ SV219 @ SV315 ) @ SV102 )
| ( member695284560e_name @ ( produc1570949143e_name @ ( perm_name_name @ SV358 @ SV219 ) @ ( perm_name_name @ SV358 @ SV315 ) ) @ SV102 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1093]) ).
thf(1193,plain,
! [SV103: produc1872410278e_name] :
( ( ( SV103
!= ( produc1069608854e_name @ ( sK7_SY702 @ SV103 ) @ nil_Pr743626285e_name ) )
= $false )
| ( ( ~ ! [SY703: produc367475239e_name > produc367475239e_name > $o,SY704: produc367475239e_name,SY705: list_P227219501e_name] :
( SV103
!= ( produc1069608854e_name @ SY703 @ ( cons_P1213805021e_name @ SY704 @ SY705 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1094]) ).
thf(1194,plain,
! [SV220: list_P227219501e_name,SV104: list_P227219501e_name > $o] :
( ( ( SV104 @ nil_Pr743626285e_name )
= $false )
| ( ( ~ ! [SY707: produc367475239e_name,SY708: list_P227219501e_name] :
( ~ ( SV104 @ SY708 )
| ( SV104 @ ( cons_P1213805021e_name @ SY707 @ SY708 ) ) )
| ( SV104 @ SV220 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1095]) ).
thf(1195,plain,
! [SV359: pi,SV316: pi,SV221: $o,SV105: list_P227219501e_name] :
( ( ~ ( ~ ( ~ ( perm_name_o @ SV105 @ SV221 )
| ( ( perm_name_pi @ SV105 @ ( if_pi @ SV221 @ SV316 @ SV359 ) )
= ( perm_name_pi @ SV105 @ SV316 ) ) )
| ~ ( ~ ~ ( perm_name_o @ SV105 @ SV221 )
| ( ( perm_name_pi @ SV105 @ ( if_pi @ SV221 @ SV316 @ SV359 ) )
= ( perm_name_pi @ SV105 @ SV359 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1096]) ).
thf(1196,plain,
! [SV360: pi,SV317: pi,SV105: list_P227219501e_name] :
( ( ~ ( ~ ( ~ ( perm_name_o @ SV105 @ $true )
| ( ( perm_name_pi @ SV105 @ ( if_pi @ $true @ SV317 @ SV360 ) )
= ( perm_name_pi @ SV105 @ SV317 ) ) )
| ~ ( ~ ~ ( perm_name_o @ SV105 @ $true )
| ( ( perm_name_pi @ SV105 @ ( if_pi @ $true @ SV317 @ SV360 ) )
= ( perm_name_pi @ SV105 @ SV360 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1097]) ).
thf(1197,plain,
! [SV361: pi,SV318: pi,SV105: list_P227219501e_name] :
( ( ~ ( ~ ( ~ ( perm_name_o @ SV105 @ $false )
| ( ( perm_name_pi @ SV105 @ ( if_pi @ $false @ SV318 @ SV361 ) )
= ( perm_name_pi @ SV105 @ SV318 ) ) )
| ~ ( ~ ~ ( perm_name_o @ SV105 @ $false )
| ( ( perm_name_pi @ SV105 @ ( if_pi @ $false @ SV318 @ SV361 ) )
= ( perm_name_pi @ SV105 @ SV361 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1098]) ).
thf(1198,plain,
! [SV319: name,SV222: produc1141751126_pi_pi,SV106: name] :
( ( ( ~ ( fresh_1376661020_pi_pi @ SV106 @ SV222 ) )
= $true )
| ( ( ~ ( fresh_1376661020_pi_pi @ SV319 @ SV222 )
| ( ( perm_n1255502110_pi_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV106 @ SV319 ) @ nil_Pr743626285e_name ) @ SV222 )
= SV222 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1099]) ).
thf(1199,plain,
! [SV107: produc367475239e_name] :
( ( ( ! [SY714: name] :
( SV107
!= ( produc1570949143e_name @ SY714 @ SY714 ) ) )
= $false )
| ( ( member695284560e_name @ SV107 @ id_name )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1100]) ).
thf(1200,plain,
! [SV320: name,SV223: pi,SV108: name] :
( ( ( ~ ( fresh_name_pi @ SV108 @ SV223 ) )
= $true )
| ( ( ( res @ SV320 @ SV223 )
= ( res @ SV108 @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV320 @ SV108 ) @ nil_Pr743626285e_name ) @ SV223 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1101]) ).
thf(1201,plain,
! [SV109: list_P227219501e_name] :
( ( ( ( SV109 != nil_Pr743626285e_name )
| ~ ! [SY717: produc367475239e_name] :
~ ~ ! [SY718: list_P227219501e_name] :
( SV109
!= ( cons_P1213805021e_name @ SY717 @ SY718 ) ) )
= $false )
| ( ( ~ ( ~ ( ( SV109 != nil_Pr743626285e_name ) )
| ~ ~ ! [SY717: produc367475239e_name] :
~ ~ ! [SY718: list_P227219501e_name] :
( SV109
!= ( cons_P1213805021e_name @ SY717 @ SY718 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1102]) ).
thf(1202,plain,
! [SV321: name,SV224: late_freeRes,SV110: name] :
( ( ( ~ ( fresh_1641682979reeRes @ SV110 @ SV224 ) )
= $true )
| ( ( ~ ( fresh_1641682979reeRes @ SV321 @ SV224 )
| ( ( perm_n336613537reeRes @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV110 @ SV321 ) @ nil_Pr743626285e_name ) @ SV224 )
= SV224 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1103]) ).
thf(1203,plain,
! [SV322: name,SV225: name,SV111: name] :
( ( ( ~ ( fresh_name_name @ SV111 @ SV225 ) )
= $true )
| ( ( ~ ( fresh_name_name @ SV322 @ SV225 )
| ( ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV111 @ SV322 ) @ nil_Pr743626285e_name ) @ SV225 )
= SV225 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1104]) ).
thf(1204,plain,
! [SV362: name,SV323: late_subject,SV226: pi,SV112: name] :
( ( ~ ( fresh_name_pi @ SV112 @ SV226 )
| ( ( late_BoundR @ SV323 @ SV362 @ SV226 )
= ( late_BoundR @ SV323 @ SV112 @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV362 @ SV112 ) @ nil_Pr743626285e_name ) @ SV226 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1105]) ).
thf(1205,plain,
! [SV363: name,SV324: name,SV227: pi,SV113: name] :
( ( ~ ( fresh_name_pi @ SV113 @ SV227 )
| ( ( input @ SV324 @ SV363 @ SV227 )
= ( input @ SV324 @ SV113 @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV363 @ SV113 ) @ nil_Pr743626285e_name ) @ SV227 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1106]) ).
thf(1206,plain,
! [SV325: name,SV228: pi_Rep,SV114: name] :
( ( ( ~ ( fresh_name_pi_Rep @ SV114 @ SV228 ) )
= $true )
| ( ( ~ ( fresh_name_pi_Rep @ SV325 @ SV228 )
| ( ( perm_name_pi_Rep @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV114 @ SV325 ) @ nil_Pr743626285e_name ) @ SV228 )
= SV228 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1107]) ).
thf(1207,plain,
! [SV326: name,SV229: name,SV115: name] :
( ( ( ~ ( fresh_441084397e_name @ SV115 @ ( produc1570949143e_name @ SV229 @ SV326 ) ) )
= $true )
| ( ( fresh_name_name @ SV115 @ SV229 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1108]) ).
thf(1208,plain,
! [SV116: produc367475239e_name] :
( ( ~ ! [SY1038: name] :
( SV116
!= ( produc1570949143e_name @ ( sK2_SY733 @ SV116 ) @ SY1038 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1109]) ).
thf(1209,plain,
! [SV230: list_P227219501e_name,SV117: list_P227219501e_name > $o] :
( ( ( SV117 @ nil_Pr743626285e_name )
= $false )
| ( ( ~ ! [SY736: produc367475239e_name] : ( SV117 @ ( cons_P1213805021e_name @ SY736 @ nil_Pr743626285e_name ) )
| ~ ! [SY737: produc367475239e_name,SY738: produc367475239e_name,SY739: list_P227219501e_name] :
( ~ ( SV117 @ SY739 )
| ~ ( SV117 @ ( cons_P1213805021e_name @ SY738 @ SY739 ) )
| ( SV117 @ ( cons_P1213805021e_name @ SY737 @ ( cons_P1213805021e_name @ SY738 @ SY739 ) ) ) )
| ( SV117 @ SV230 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1110]) ).
thf(1210,plain,
! [SV118: produc890461031e_name] :
( ( ( SV118
!= ( produc208131031e_name @ nil_Pr743626285e_name @ ( sK8_SY740 @ SV118 ) ) )
= $false )
| ( ( ~ ! [SY741: produc367475239e_name,SY742: list_P227219501e_name,SY743: list_P227219501e_name] :
( SV118
!= ( produc208131031e_name @ ( cons_P1213805021e_name @ SY741 @ SY742 ) @ SY743 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1111]) ).
thf(1211,plain,
! [SV364: name,SV327: name,SV231: name,SV119: name] :
( ( ( ( produc1570949143e_name @ SV119 @ SV231 )
= ( produc1570949143e_name @ SV327 @ SV364 ) )
= ( ~ ( ( SV119 != SV327 )
| ( SV231 != SV364 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1112]) ).
thf(1212,plain,
! [SV328: name,SV232: late_subject,SV120: name] :
( ( ( ~ ( fresh_717452603ubject @ SV120 @ SV232 ) )
= $true )
| ( ( ~ ( fresh_717452603ubject @ SV328 @ SV232 )
| ( ( perm_n1559866809ubject @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV120 @ SV328 ) @ nil_Pr743626285e_name ) @ SV232 )
= SV232 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1113]) ).
thf(1213,plain,
! [SV365: name,SV329: late_subject,SV233: pi,SV121: pi] :
( ( ! [SY1060: set_Pr1834926343_pi_pi,SY1061: list_P227219501e_name] :
( ~ ( strong2129052853vative @ SV121 @ SV233 @ SV329 @ SV365 @ SY1060 )
| ~ ( eqvt_pi @ SY1060 )
| ( strong2129052853vative @ ( perm_name_pi @ SY1061 @ SV121 ) @ ( perm_name_pi @ SY1061 @ SV233 ) @ ( perm_n1559866809ubject @ SY1061 @ SV329 ) @ ( perm_name_name @ SY1061 @ SV365 ) @ SY1060 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1114]) ).
thf(1214,plain,
! [SV234: produc367475239e_name,SV122: produc367475239e_name > $o] :
( ( ( ! [SY755: name,SY756: name] : ( SV122 @ ( produc1570949143e_name @ SY755 @ SY756 ) ) )
= $false )
| ( ( SV122 @ SV234 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1115]) ).
thf(1215,plain,
! [SV235: list_P227219501e_name,SV123: list_P227219501e_name > $o] :
( ( ( SV123 @ nil_Pr743626285e_name )
= $false )
| ( ( ~ ! [SY758: produc367475239e_name] : ( SV123 @ ( cons_P1213805021e_name @ SY758 @ nil_Pr743626285e_name ) )
| ~ ! [SY759: produc367475239e_name,SY760: produc367475239e_name,SY761: list_P227219501e_name] :
( ~ ( ( SY759 != SY760 )
| ( SV123 @ ( cons_P1213805021e_name @ SY759 @ SY761 ) ) )
| ~ ( ~ ( ( SY759 != SY760 ) )
| ( SV123 @ ( cons_P1213805021e_name @ SY760 @ SY761 ) ) )
| ( SV123 @ ( cons_P1213805021e_name @ SY759 @ ( cons_P1213805021e_name @ SY760 @ SY761 ) ) ) )
| ( SV123 @ SV235 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1116]) ).
thf(1216,plain,
! [SV330: name,SV236: pi_Rep,SV124: name] :
( ( ( ~ ( fresh_name_pi_Rep @ SV124 @ SV236 ) )
= $true )
| ( ( ~ ( fresh_name_pi_Rep @ SV330 @ SV236 )
| ( ( perm_name_pi_Rep @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV124 @ SV330 ) @ nil_Pr743626285e_name ) @ SV236 )
= SV236 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1117]) ).
thf(1217,plain,
! [SV331: name,SV238: name,SV126: name] :
( ( ( ~ ( fresh_name_name @ SV126 @ SV238 ) )
= $true )
| ( ( ~ ( fresh_name_name @ SV331 @ SV238 )
| ( ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV126 @ SV331 ) @ nil_Pr743626285e_name ) @ SV238 )
= SV238 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1119]) ).
thf(1218,plain,
! [SV332: list_P227219501e_name,SV239: late_residual,SV127: pi] :
( ( ( ~ ( late_transitions @ SV127 @ SV239 ) )
= $true )
| ( ( late_transitions @ ( perm_name_pi @ SV332 @ SV127 ) @ ( perm_n414416632sidual @ SV332 @ SV239 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1120]) ).
thf(1219,plain,
! [SV366: list_P227219501e_name,SV333: produc367475239e_name,SV240: list_P227219501e_name,SV128: produc367475239e_name] :
( ( ( ( cons_P1213805021e_name @ SV128 @ SV240 )
= ( cons_P1213805021e_name @ SV333 @ SV366 ) )
= ( ~ ( ( SV128 != SV333 )
| ( SV240 != SV366 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1121]) ).
thf(1220,plain,
! [SV367: name,SV334: name,SV241: list_P227219501e_name,SV129: set_Pr443758855e_name] :
( ( ~ ( eqvt_name @ SV129 )
| ~ ( member695284560e_name @ ( produc1570949143e_name @ ( perm_name_name @ SV241 @ SV334 ) @ ( perm_name_name @ SV241 @ SV367 ) ) @ SV129 )
| ( member695284560e_name @ ( produc1570949143e_name @ SV334 @ SV367 ) @ SV129 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1122]) ).
thf(1221,plain,
! [SV335: name,SV242: pi,SV130: name] :
( ( ( ~ ( fresh_name_pi @ SV130 @ SV242 ) )
= $true )
| ( ( ~ ( fresh_name_pi @ SV335 @ SV242 )
| ( ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV130 @ SV335 ) @ nil_Pr743626285e_name ) @ SV242 )
= SV242 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1123]) ).
thf(1222,plain,
! [SV368: name,SV336: late_subject,SV243: pi,SV131: set_Pr1834926343_pi_pi] :
( ( ~ ( ord_le630093991_pi_pi @ id_pi @ SV131 )
| ( strong2129052853vative @ SV243 @ SV243 @ SV336 @ SV368 @ SV131 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1124]) ).
thf(1223,plain,
! [SV369: name,SV337: produc1141751126_pi_pi,SV244: name,SV132: name] :
( ( ~ ( ( SV132 != SV244 ) )
| ~ ( fresh_1376661020_pi_pi @ SV244 @ SV337 )
| ~ ( fresh_1376661020_pi_pi @ SV132 @ SV337 )
| ( fresh_1376661020_pi_pi @ SV132 @ ( perm_n1255502110_pi_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV244 @ SV369 ) @ nil_Pr743626285e_name ) @ SV337 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1125]) ).
thf(1224,plain,
! [SV338: name,SV245: late_subject,SV133: name] :
( ( ( ~ ( fresh_717452603ubject @ SV133 @ SV245 ) )
= $true )
| ( ( ~ ( fresh_717452603ubject @ SV338 @ SV245 )
| ( ( perm_n1559866809ubject @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV133 @ SV338 ) @ nil_Pr743626285e_name ) @ SV245 )
= SV245 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1126]) ).
thf(1225,plain,
! [SV246: produc367475239e_name,SV134: produc367475239e_name > $o] :
( ( ( ! [SY786: name,SY787: name] : ( SV134 @ ( produc1570949143e_name @ SY786 @ SY787 ) ) )
= $false )
| ( ( SV134 @ SV246 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1127]) ).
thf(1226,plain,
! [SV160: name,SV31: name] :
( ( ( ( ( late_BoundOutputS @ SV31 )
= ( late_BoundOutputS @ SV160 ) )
| ( SV31 = SV160 ) )
= $false )
| ( ( ~ ( ( ( late_BoundOutputS @ SV31 )
!= ( late_BoundOutputS @ SV160 ) )
| ( SV31 != SV160 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1128]) ).
thf(1227,plain,
! [SV161: name,SV32: name] :
( ( ( ( ( late_BoundOutputS @ SV32 )
= ( late_BoundOutputS @ SV161 ) )
| ( SV32 = SV161 ) )
= $false )
| ( ( ~ ( ( ( late_BoundOutputS @ SV32 )
!= ( late_BoundOutputS @ SV161 ) )
| ( SV32 != SV161 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1129]) ).
thf(1228,plain,
! [SV267: pi,SV163: name,SV38: list_P227219501e_name] :
( ( ( ~ ( ( perm_name_o @ SV38 @ ( fresh_name_pi @ SV163 @ SV267 ) )
| ( fresh_name_pi @ ( perm_name_name @ SV38 @ SV163 ) @ ( perm_name_pi @ SV38 @ SV267 ) ) ) )
= $true )
| ( ( ~ ( ~ ( perm_name_o @ SV38 @ ( fresh_name_pi @ SV163 @ SV267 ) )
| ~ ( fresh_name_pi @ ( perm_name_name @ SV38 @ SV163 ) @ ( perm_name_pi @ SV38 @ SV267 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1130]) ).
thf(1229,plain,
! [SV268: pi,SV164: name,SV39: list_P227219501e_name] :
( ( ( ~ ( ( fresh_name_pi @ ( perm_name_name @ SV39 @ SV164 ) @ ( perm_name_pi @ SV39 @ SV268 ) )
| ( fresh_name_pi @ SV164 @ SV268 ) ) )
= $true )
| ( ( ~ ( ~ ( fresh_name_pi @ ( perm_name_name @ SV39 @ SV164 ) @ ( perm_name_pi @ SV39 @ SV268 ) )
| ~ ( fresh_name_pi @ SV164 @ SV268 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1132]) ).
thf(1230,plain,
! [SV272: pi,SV170: pi,SV46: list_P227219501e_name] :
( ( ( ~ ( ( ( perm_name_pi @ SV46 @ SV170 )
= ( perm_name_pi @ SV46 @ SV272 ) )
| ( SV170 = SV272 ) ) )
= $true )
| ( ( ~ ( ( ( perm_name_pi @ SV46 @ SV170 )
!= ( perm_name_pi @ SV46 @ SV272 ) )
| ( SV170 != SV272 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1134]) ).
thf(1231,plain,
! [SV275: set_pi,SV173: pi,SV49: list_P227219501e_name] :
( ( ( ~ ( ( perm_name_o @ SV49 @ ( member_pi @ SV173 @ SV275 ) )
| ( member_pi @ ( perm_name_pi @ SV49 @ SV173 ) @ ( perm_name_set_pi @ SV49 @ SV275 ) ) ) )
= $true )
| ( ( ~ ( ~ ( perm_name_o @ SV49 @ ( member_pi @ SV173 @ SV275 ) )
| ~ ( member_pi @ ( perm_name_pi @ SV49 @ SV173 ) @ ( perm_name_set_pi @ SV49 @ SV275 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1136]) ).
thf(1232,plain,
! [SV276: pi,SV174: pi,SV50: list_P227219501e_name] :
( ( ( ~ ( ( perm_name_o @ SV50 @ ( SV174 = SV276 ) )
| ( ( perm_name_pi @ SV50 @ SV174 )
= ( perm_name_pi @ SV50 @ SV276 ) ) ) )
= $true )
| ( ( ~ ( ~ ( perm_name_o @ SV50 @ ( SV174 = SV276 ) )
| ( ( perm_name_pi @ SV50 @ SV174 )
!= ( perm_name_pi @ SV50 @ SV276 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1138]) ).
thf(1233,plain,
! [SV175: name,SV51: name] :
( ( ( ( member695284560e_name @ ( produc1570949143e_name @ SV51 @ SV175 ) @ id_name )
| ( SV51 = SV175 ) )
= $false )
| ( ( ~ ( ~ ( member695284560e_name @ ( produc1570949143e_name @ SV51 @ SV175 ) @ id_name )
| ( SV51 != SV175 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1140]) ).
thf(1234,plain,
! [SV176: name,SV53: name] :
( ( ( ( fresh_717452603ubject @ SV53 @ ( late_BoundOutputS @ SV176 ) )
| ( fresh_name_name @ SV53 @ SV176 ) )
= $false )
| ( ( ~ ( ~ ( fresh_717452603ubject @ SV53 @ ( late_BoundOutputS @ SV176 ) )
| ~ ( fresh_name_name @ SV53 @ SV176 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1141]) ).
thf(1235,plain,
! [SV370: name,SV340: name,SV284: pi,SV184: name,SV61: name] :
( ( ! [SY1062: pi] :
~ ( late_transitions @ ( input @ SV61 @ SV184 @ SV284 ) @ ( late_BoundR @ ( late_BoundOutputS @ SV340 ) @ SV370 @ SY1062 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1143]) ).
thf(1236,plain,
! [SV63: $o] :
( ( ( SV63
| $true )
= $false )
| ( ( ~ ( ~ SV63
| ~ $true ) )
= $true )
| ( ( SV63 = $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1145]) ).
thf(1237,plain,
! [SV63: $o] :
( ( ( ~ ( SV63
| $false ) )
= $true )
| ( ( ~ ( ~ SV63
| ~ $false ) )
= $true )
| ( ( SV63 = $true )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1146]) ).
thf(1238,plain,
( ( ( $true
| $true )
= $false )
| ( ( ~ ( ~ $true
| ~ $true ) )
= $true )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1148]) ).
thf(1239,plain,
( ( ( ~ ( $true
| $false ) )
= $true )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1149]) ).
thf(1240,plain,
( ( ( $false
| $true )
= $false )
| ( ( ~ ( ~ $false
| ~ $true ) )
= $true )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1151]) ).
thf(1241,plain,
( ( ( ~ ( $false
| $false ) )
= $true )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1152]) ).
thf(1242,plain,
! [SV286: list_P227219501e_name,SV186: list_P227219501e_name,SV64: list_P227219501e_name > list_P227219501e_name > $o] :
( ( ( ! [SY558: list_P227219501e_name] : ( SV64 @ nil_Pr743626285e_name @ SY558 ) )
= $false )
| ( ( ~ ! [SY559: produc367475239e_name,SY560: list_P227219501e_name,SY561: list_P227219501e_name] :
( ~ ( SV64 @ SY561 @ SY560 )
| ( SV64 @ ( cons_P1213805021e_name @ SY559 @ SY560 ) @ SY561 ) )
| ( SV64 @ SV186 @ SV286 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1154]) ).
thf(1243,plain,
! [SV287: list_P227219501e_name,SV187: list_P227219501e_name,SV65: list_P227219501e_name > list_P227219501e_name > $o] :
( ( ( SV65 @ nil_Pr743626285e_name @ nil_Pr743626285e_name )
= $false )
| ( ( ~ ! [SY564: produc367475239e_name,SY565: list_P227219501e_name] : ( SV65 @ ( cons_P1213805021e_name @ SY564 @ SY565 ) @ nil_Pr743626285e_name )
| ~ ! [SY566: produc367475239e_name,SY567: list_P227219501e_name] : ( SV65 @ nil_Pr743626285e_name @ ( cons_P1213805021e_name @ SY566 @ SY567 ) )
| ~ ! [SY568: produc367475239e_name,SY569: list_P227219501e_name,SY570: produc367475239e_name,SY571: list_P227219501e_name] :
( ~ ( SV65 @ SY569 @ SY571 )
| ( SV65 @ ( cons_P1213805021e_name @ SY568 @ SY569 ) @ ( cons_P1213805021e_name @ SY570 @ SY571 ) ) )
| ( SV65 @ SV187 @ SV287 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1155]) ).
thf(1244,plain,
! [SV288: list_P227219501e_name,SV188: pi,SV66: pi] :
( ( ( SV66 = SV188 )
= $false )
| ( ( ( perm_name_pi @ SV288 @ SV66 )
= ( perm_name_pi @ SV288 @ SV188 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1156]) ).
thf(1245,plain,
! [SV371: list_P227219501e_name,SV342: set_Pr1834926343_pi_pi,SV289: pi,SV189: set_Pr1834926343_pi_pi,SV67: pi] :
( ( ~ ( strong743114133lation @ SV67 @ SV189 @ SV289 )
| ~ ( ord_le630093991_pi_pi @ SV189 @ SV342 )
| ~ ( eqvt_pi @ SV342 )
| ( strong743114133lation @ ( perm_name_pi @ SV371 @ SV67 ) @ SV342 @ ( perm_name_pi @ SV371 @ SV289 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1157]) ).
thf(1246,plain,
! [SV290: pi,SV190: list_P227219501e_name,SV68: name] :
( ( ( fresh_922791155e_name @ SV68 @ SV190 )
= $false )
| ( ( ~ ( fresh_name_pi @ SV68 @ SV290 )
| ( fresh_name_pi @ SV68 @ ( perm_name_pi @ SV190 @ SV290 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1158]) ).
thf(1247,plain,
! [SV69: list_P227219501e_name] :
( ( ( ~ ! [SY580: produc367475239e_name] :
( SV69
!= ( cons_P1213805021e_name @ SY580 @ nil_Pr743626285e_name ) ) )
= $true )
| ( ( ~ ! [SY581: produc367475239e_name,SY582: produc367475239e_name,SY583: list_P227219501e_name] :
( SV69
!= ( cons_P1213805021e_name @ SY581 @ ( cons_P1213805021e_name @ SY582 @ SY583 ) ) ) )
= $true )
| ( ( SV69 = nil_Pr743626285e_name )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1159]) ).
thf(1248,plain,
! [SV291: list_P227219501e_name,SV191: produc367475239e_name > produc367475239e_name > $o,SV70: ( produc367475239e_name > produc367475239e_name > $o ) > list_P227219501e_name > $o] :
( ( ( ! [SY586: produc367475239e_name > produc367475239e_name > $o] : ( SV70 @ SY586 @ nil_Pr743626285e_name ) )
= $false )
| ( ( ~ ! [SY587: produc367475239e_name > produc367475239e_name > $o,SY588: produc367475239e_name,SY589: list_P227219501e_name] :
( ~ ( SV70 @ SY587 @ SY589 )
| ( SV70 @ SY587 @ ( cons_P1213805021e_name @ SY588 @ SY589 ) ) )
| ( SV70 @ SV191 @ SV291 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1160]) ).
thf(1249,plain,
! [SV343: list_P227219501e_name,SV292: list_P227219501e_name,SV192: produc367475239e_name > produc367475239e_name,SV71: ( produc367475239e_name > produc367475239e_name ) > list_P227219501e_name > list_P227219501e_name > $o] :
( ( ( ~ ! [SY593: produc367475239e_name > produc367475239e_name,SY594: list_P227219501e_name] : ( SV71 @ SY593 @ nil_Pr743626285e_name @ SY594 ) )
= $true )
| ( ( ~ ! [SY595: produc367475239e_name > produc367475239e_name,SY596: produc367475239e_name,SY597: list_P227219501e_name,SY598: list_P227219501e_name] :
( ~ ( SV71 @ SY595 @ SY597 @ ( cons_P1213805021e_name @ ( SY595 @ SY596 ) @ SY598 ) )
| ( SV71 @ SY595 @ ( cons_P1213805021e_name @ SY596 @ SY597 ) @ SY598 ) )
| ( SV71 @ SV192 @ SV292 @ SV343 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1161]) ).
thf(1250,plain,
! [SV72: list_l1406151091e_name] :
( ( ( ~ ! [SY599: list_l1406151091e_name] :
( SV72
!= ( cons_l798145763e_name @ nil_Pr743626285e_name @ SY599 ) ) )
= $true )
| ( ( ~ ! [SY600: produc367475239e_name,SY601: list_P227219501e_name,SY602: list_l1406151091e_name] :
( SV72
!= ( cons_l798145763e_name @ ( cons_P1213805021e_name @ SY600 @ SY601 ) @ SY602 ) ) )
= $true )
| ( ( SV72 = nil_li29751603e_name )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1162]) ).
thf(1251,plain,
! [SV73: produc367475239e_name] :
( ( SV73
= ( produc1570949143e_name @ ( sK1_SY603 @ SV73 ) @ ( sK3_SY1000 @ SV73 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1163]) ).
thf(1252,plain,
! [SV344: pi,SV293: pi,SV193: list_P227219501e_name,SV74: $o] :
( ( ~ ( ~ SV74
| ( ( perm_name_pi @ SV193 @ ( if_pi @ SV74 @ SV293 @ SV344 ) )
= ( perm_name_pi @ SV193 @ SV293 ) ) )
| ~ ( ~ ~ SV74
| ( ( perm_name_pi @ SV193 @ ( if_pi @ SV74 @ SV293 @ SV344 ) )
= ( perm_name_pi @ SV193 @ SV344 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1164]) ).
thf(1253,plain,
! [SV345: pi,SV294: pi,SV194: list_P227219501e_name] :
( ( ~ ( ~ $true
| ( ( perm_name_pi @ SV194 @ ( if_pi @ $true @ SV294 @ SV345 ) )
= ( perm_name_pi @ SV194 @ SV294 ) ) )
| ~ ( ~ ~ $true
| ( ( perm_name_pi @ SV194 @ ( if_pi @ $true @ SV294 @ SV345 ) )
= ( perm_name_pi @ SV194 @ SV345 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1165]) ).
thf(1254,plain,
! [SV346: pi,SV295: pi,SV195: list_P227219501e_name] :
( ( ~ ( ~ $false
| ( ( perm_name_pi @ SV195 @ ( if_pi @ $false @ SV295 @ SV346 ) )
= ( perm_name_pi @ SV195 @ SV295 ) ) )
| ~ ( ~ ~ $false
| ( ( perm_name_pi @ SV195 @ ( if_pi @ $false @ SV295 @ SV346 ) )
= ( perm_name_pi @ SV195 @ SV346 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1166]) ).
thf(1255,plain,
! [SV296: name,SV196: name,SV75: name] :
( ( ( fresh_441084397e_name @ SV75 @ ( produc1570949143e_name @ SV196 @ SV296 ) )
= $false )
| ( ( fresh_name_name @ SV75 @ SV296 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1167]) ).
thf(1256,plain,
! [SV347: name,SV297: name,SV197: name,SV76: name] :
( ( ~ ( ( ( produc1570949143e_name @ SV76 @ SV197 )
= ( produc1570949143e_name @ SV297 @ SV347 ) )
| ~ ( ( SV76 != SV297 )
| ( SV197 != SV347 ) ) )
| ~ ( ( ( produc1570949143e_name @ SV76 @ SV197 )
!= ( produc1570949143e_name @ SV297 @ SV347 ) )
| ~ ~ ( ( SV76 != SV297 )
| ( SV197 != SV347 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1168]) ).
thf(1257,plain,
! [SV347: name,SV297: name,SV197: name,SV76: name] :
( ( ( ( produc1570949143e_name @ SV76 @ SV197 )
= ( produc1570949143e_name @ SV297 @ SV347 ) )
= ( ~ ( ( SV76 != SV297 )
| ( SV197 != SV347 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1168]) ).
thf(1258,plain,
! [SV348: name,SV298: name,SV198: name,SV77: name] :
( ( ( ( produc1570949143e_name @ SV77 @ SV198 )
!= ( produc1570949143e_name @ SV298 @ SV348 ) )
= $true )
| ( ( ~ ( ( SV77 != SV298 )
| ( SV198 != SV348 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1169]) ).
thf(1259,plain,
! [SV349: list_P227219501e_name,SV299: pi,SV199: pi,SV78: set_Pr1834926343_pi_pi] :
( ( ( ~ ( eqvt_pi @ SV78 ) )
= $true )
| ( ( ~ ( member558706512_pi_pi @ ( product_Pair_pi_pi @ SV199 @ SV299 ) @ SV78 )
| ( member558706512_pi_pi @ ( product_Pair_pi_pi @ ( perm_name_pi @ SV349 @ SV199 ) @ ( perm_name_pi @ SV349 @ SV299 ) ) @ SV78 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1170]) ).
thf(1260,plain,
! [SV79: produc890461031e_name] :
( ( ( SV79
= ( produc208131031e_name @ nil_Pr743626285e_name @ ( sK4_SY619 @ SV79 ) ) )
= $true )
| ( ( ~ ! [SY620: list_P227219501e_name] :
( SV79
!= ( produc208131031e_name @ SY620 @ nil_Pr743626285e_name ) )
| ~ ! [SY621: produc367475239e_name,SY622: list_P227219501e_name,SY623: produc367475239e_name,SY624: list_P227219501e_name] :
( SV79
!= ( produc208131031e_name @ ( cons_P1213805021e_name @ SY621 @ SY622 ) @ ( cons_P1213805021e_name @ SY623 @ SY624 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1171]) ).
thf(1261,plain,
! [SV80: set_Pr443758855e_name,SV200: set_Pr443758855e_name] :
( ( ( ! [SY1063: name] :
( ~ ( member695284560e_name @ ( produc1570949143e_name @ ( sK9_SY877 @ SV200 @ SV80 ) @ SY1063 ) @ SV80 )
| ( member695284560e_name @ ( produc1570949143e_name @ ( sK9_SY877 @ SV200 @ SV80 ) @ SY1063 ) @ SV200 ) ) )
= $false )
| ( ( ord_le793202855e_name @ SV80 @ SV200 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1172]) ).
thf(1262,plain,
! [SV350: name,SV300: late_subject,SV201: name,SV81: name] :
( ( ( ~ ( ( SV81 != SV201 ) ) )
= $true )
| ( ( ~ ( fresh_717452603ubject @ SV201 @ SV300 )
| ~ ( fresh_717452603ubject @ SV81 @ SV300 )
| ( fresh_717452603ubject @ SV81 @ ( perm_n1559866809ubject @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV201 @ SV350 ) @ nil_Pr743626285e_name ) @ SV300 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1173]) ).
thf(1263,plain,
! [SV351: name,SV301: pi,SV203: name,SV83: name] :
( ( ( ~ ( ( SV83 != SV203 ) ) )
= $true )
| ( ( ~ ( fresh_name_pi @ SV203 @ SV301 )
| ~ ( fresh_name_pi @ SV83 @ SV301 )
| ( fresh_name_pi @ SV83 @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV203 @ SV351 ) @ nil_Pr743626285e_name ) @ SV301 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1174]) ).
thf(1264,plain,
! [SV302: name,SV204: pi,SV84: name] :
( ( ( fresh_name_pi @ SV84 @ SV204 )
= $false )
| ( ( ~ ( fresh_name_pi @ SV302 @ SV204 )
| ( ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV84 @ SV302 ) @ nil_Pr743626285e_name ) @ SV204 )
= SV204 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1175]) ).
thf(1265,plain,
! [SV85: list_P227219501e_name] :
( ( ( ! [SY637: produc367475239e_name,SY638: list_P227219501e_name] :
( SV85
!= ( cons_P1213805021e_name @ SY637 @ SY638 ) ) )
= $false )
| ( ( SV85 = nil_Pr743626285e_name )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1176]) ).
thf(1266,plain,
! [SV303: name,SV205: name,SV87: name] :
( ( ( SV87 != SV205 )
= $false )
| ( ( ~ ( ( SV303 != SV205 ) )
| ( ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV87 @ SV303 ) @ nil_Pr743626285e_name ) @ SV205 )
= SV205 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1178]) ).
thf(1267,plain,
! [SV372: set_Pr1834926343_pi_pi,SV352: name,SV304: late_subject,SV206: pi,SV88: pi] :
( ( ! [SY1064: set_Pr1834926343_pi_pi] :
( ~ ( strong2129052853vative @ SV88 @ SV206 @ SV304 @ SV352 @ SV372 )
| ~ ( ord_le630093991_pi_pi @ SV372 @ SY1064 )
| ( strong2129052853vative @ SV88 @ SV206 @ SV304 @ SV352 @ SY1064 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1179]) ).
thf(1268,plain,
! [SV305: list_P227219501e_name,SV207: produc367475239e_name > produc367475239e_name > $o,SV89: ( produc367475239e_name > produc367475239e_name > $o ) > list_P227219501e_name > $o] :
( ( ( ! [SY649: produc367475239e_name > produc367475239e_name > $o] : ( SV89 @ SY649 @ nil_Pr743626285e_name ) )
= $false )
| ( ( ~ ! [SY650: produc367475239e_name > produc367475239e_name > $o,SY651: produc367475239e_name] : ( SV89 @ SY650 @ ( cons_P1213805021e_name @ SY651 @ nil_Pr743626285e_name ) )
| ~ ! [SY652: produc367475239e_name > produc367475239e_name > $o,SY653: produc367475239e_name,SY654: produc367475239e_name,SY655: list_P227219501e_name] :
( ~ ( SV89 @ SY652 @ ( cons_P1213805021e_name @ SY654 @ SY655 ) )
| ( SV89 @ SY652 @ ( cons_P1213805021e_name @ SY653 @ ( cons_P1213805021e_name @ SY654 @ SY655 ) ) ) )
| ( SV89 @ SV207 @ SV305 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1180]) ).
thf(1269,plain,
! [SV373: set_Pr1834926343_pi_pi,SV353: name,SV306: late_subject,SV208: pi,SV90: pi] :
( ( ! [SY1065: list_P227219501e_name] :
( ~ ( strong2129052853vative @ SV90 @ SV208 @ SV306 @ SV353 @ SV373 )
| ~ ( eqvt_pi @ SV373 )
| ( strong2129052853vative @ ( perm_name_pi @ SY1065 @ SV90 ) @ ( perm_name_pi @ SY1065 @ SV208 ) @ SV306 @ ( perm_name_name @ SY1065 @ SV353 ) @ SV373 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1181]) ).
thf(1270,plain,
! [SV209: list_P227219501e_name > $o,SV91: list_P227219501e_name] :
( ( ( SV91 = nil_Pr743626285e_name )
= $true )
| ( ( ~ ! [SY901: produc367475239e_name] : ( SV209 @ ( cons_P1213805021e_name @ SY901 @ nil_Pr743626285e_name ) )
| ~ ! [SY902: produc367475239e_name,SY903: list_P227219501e_name] :
( ~ ( ( SY903 != nil_Pr743626285e_name ) )
| ~ ( SV209 @ SY903 )
| ( SV209 @ ( cons_P1213805021e_name @ SY902 @ SY903 ) ) )
| ( SV209 @ SV91 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1182]) ).
thf(1271,plain,
! [SV354: pi,SV307: pi,SV210: list_P227219501e_name,SV92: set_Pr1834926343_pi_pi] :
( ( ( ~ ( eqvt_pi @ SV92 ) )
= $true )
| ( ( ~ ( member558706512_pi_pi @ ( product_Pair_pi_pi @ ( perm_name_pi @ SV210 @ SV307 ) @ ( perm_name_pi @ SV210 @ SV354 ) ) @ SV92 )
| ( member558706512_pi_pi @ ( product_Pair_pi_pi @ SV307 @ SV354 ) @ SV92 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1183]) ).
thf(1272,plain,
! [SV308: name,SV211: produc1141751126_pi_pi,SV93: name] :
( ( ( fresh_1376661020_pi_pi @ SV93 @ SV211 )
= $false )
| ( ( ~ ( fresh_1376661020_pi_pi @ SV308 @ SV211 )
| ( ( perm_n1255502110_pi_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV93 @ SV308 ) @ nil_Pr743626285e_name ) @ SV211 )
= SV211 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1184]) ).
thf(1273,plain,
! [SV355: name,SV309: name,SV212: name,SV94: name] :
( ( ( ~ ( ( SV94 != SV212 ) ) )
= $true )
| ( ( ~ ( fresh_name_name @ SV212 @ SV309 )
| ~ ( fresh_name_name @ SV94 @ SV309 )
| ( fresh_name_name @ SV94 @ ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV212 @ SV355 ) @ nil_Pr743626285e_name ) @ SV309 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1185]) ).
thf(1274,plain,
! [SV356: name,SV310: late_freeRes,SV213: name,SV95: name] :
( ( ( ~ ( ( SV95 != SV213 ) ) )
= $true )
| ( ( ~ ( fresh_1641682979reeRes @ SV213 @ SV310 )
| ~ ( fresh_1641682979reeRes @ SV95 @ SV310 )
| ( fresh_1641682979reeRes @ SV95 @ ( perm_n336613537reeRes @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV213 @ SV356 ) @ nil_Pr743626285e_name ) @ SV310 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1186]) ).
thf(1275,plain,
! [SV96: produc1872410278e_name] :
( ( ( SV96
= ( produc1069608854e_name @ ( sK6_SY676 @ SV96 ) @ nil_Pr743626285e_name ) )
= $true )
| ( ( ~ ! [SY677: produc367475239e_name > produc367475239e_name > $o,SY678: produc367475239e_name] :
( SV96
!= ( produc1069608854e_name @ SY677 @ ( cons_P1213805021e_name @ SY678 @ nil_Pr743626285e_name ) ) )
| ~ ! [SY679: produc367475239e_name > produc367475239e_name > $o,SY680: produc367475239e_name,SY681: produc367475239e_name,SY682: list_P227219501e_name] :
( SV96
!= ( produc1069608854e_name @ SY679 @ ( cons_P1213805021e_name @ SY680 @ ( cons_P1213805021e_name @ SY681 @ SY682 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1187]) ).
thf(1276,plain,
! [SV311: list_P227219501e_name,SV214: list_P227219501e_name,SV97: list_P227219501e_name > list_P227219501e_name > $o] :
( ( ( ! [SY685: list_P227219501e_name] : ( SV97 @ nil_Pr743626285e_name @ SY685 ) )
= $false )
| ( ( ~ ! [SY686: list_P227219501e_name] : ( SV97 @ SY686 @ nil_Pr743626285e_name )
| ~ ! [SY687: produc367475239e_name,SY688: list_P227219501e_name,SY689: produc367475239e_name,SY690: list_P227219501e_name] :
( ~ ( SV97 @ SY688 @ ( cons_P1213805021e_name @ SY689 @ SY690 ) )
| ~ ( SV97 @ ( cons_P1213805021e_name @ SY687 @ SY688 ) @ SY690 )
| ( SV97 @ ( cons_P1213805021e_name @ SY687 @ SY688 ) @ ( cons_P1213805021e_name @ SY689 @ SY690 ) ) )
| ( SV97 @ SV214 @ SV311 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1188]) ).
thf(1277,plain,
! [SV357: name,SV312: pi_Rep,SV215: name,SV98: name] :
( ( ( ~ ( ( SV98 != SV215 ) ) )
= $true )
| ( ( ~ ( fresh_name_pi_Rep @ SV215 @ SV312 )
| ~ ( fresh_name_pi_Rep @ SV98 @ SV312 )
| ( fresh_name_pi_Rep @ SV98 @ ( perm_name_pi_Rep @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV215 @ SV357 ) @ nil_Pr743626285e_name ) @ SV312 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1189]) ).
thf(1278,plain,
! [SV313: name,SV216: late_freeRes,SV99: name] :
( ( ( fresh_1641682979reeRes @ SV99 @ SV216 )
= $false )
| ( ( ~ ( fresh_1641682979reeRes @ SV313 @ SV216 )
| ( ( perm_n336613537reeRes @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV99 @ SV313 ) @ nil_Pr743626285e_name ) @ SV216 )
= SV216 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1190]) ).
thf(1279,plain,
! [SV314: list_P227219501e_name,SV217: produc367475239e_name,SV100: list_P227219501e_name] :
( ( ( SV100
= ( cons_P1213805021e_name @ SV217 @ SV314 ) )
= $false )
| ( ( SV100 != nil_Pr743626285e_name )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1191]) ).
thf(1280,plain,
! [SV358: list_P227219501e_name,SV315: name,SV219: name,SV102: set_Pr443758855e_name] :
( ( ( ~ ( eqvt_name @ SV102 ) )
= $true )
| ( ( ~ ( member695284560e_name @ ( produc1570949143e_name @ SV219 @ SV315 ) @ SV102 )
| ( member695284560e_name @ ( produc1570949143e_name @ ( perm_name_name @ SV358 @ SV219 ) @ ( perm_name_name @ SV358 @ SV315 ) ) @ SV102 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1192]) ).
thf(1281,plain,
! [SV103: produc1872410278e_name] :
( ( ( SV103
= ( produc1069608854e_name @ ( sK7_SY702 @ SV103 ) @ nil_Pr743626285e_name ) )
= $true )
| ( ( ~ ! [SY703: produc367475239e_name > produc367475239e_name > $o,SY704: produc367475239e_name,SY705: list_P227219501e_name] :
( SV103
!= ( produc1069608854e_name @ SY703 @ ( cons_P1213805021e_name @ SY704 @ SY705 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1193]) ).
thf(1282,plain,
! [SV220: list_P227219501e_name,SV104: list_P227219501e_name > $o] :
( ( ( ~ ! [SY707: produc367475239e_name,SY708: list_P227219501e_name] :
( ~ ( SV104 @ SY708 )
| ( SV104 @ ( cons_P1213805021e_name @ SY707 @ SY708 ) ) ) )
= $true )
| ( ( SV104 @ SV220 )
= $true )
| ( ( SV104 @ nil_Pr743626285e_name )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1194]) ).
thf(1283,plain,
! [SV359: pi,SV316: pi,SV221: $o,SV105: list_P227219501e_name] :
( ( ~ ( ~ ( perm_name_o @ SV105 @ SV221 )
| ( ( perm_name_pi @ SV105 @ ( if_pi @ SV221 @ SV316 @ SV359 ) )
= ( perm_name_pi @ SV105 @ SV316 ) ) )
| ~ ( ~ ~ ( perm_name_o @ SV105 @ SV221 )
| ( ( perm_name_pi @ SV105 @ ( if_pi @ SV221 @ SV316 @ SV359 ) )
= ( perm_name_pi @ SV105 @ SV359 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1195]) ).
thf(1284,plain,
! [SV360: pi,SV317: pi,SV105: list_P227219501e_name] :
( ( ~ ( ~ ( perm_name_o @ SV105 @ $true )
| ( ( perm_name_pi @ SV105 @ ( if_pi @ $true @ SV317 @ SV360 ) )
= ( perm_name_pi @ SV105 @ SV317 ) ) )
| ~ ( ~ ~ ( perm_name_o @ SV105 @ $true )
| ( ( perm_name_pi @ SV105 @ ( if_pi @ $true @ SV317 @ SV360 ) )
= ( perm_name_pi @ SV105 @ SV360 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1196]) ).
thf(1285,plain,
! [SV361: pi,SV318: pi,SV105: list_P227219501e_name] :
( ( ~ ( ~ ( perm_name_o @ SV105 @ $false )
| ( ( perm_name_pi @ SV105 @ ( if_pi @ $false @ SV318 @ SV361 ) )
= ( perm_name_pi @ SV105 @ SV318 ) ) )
| ~ ( ~ ~ ( perm_name_o @ SV105 @ $false )
| ( ( perm_name_pi @ SV105 @ ( if_pi @ $false @ SV318 @ SV361 ) )
= ( perm_name_pi @ SV105 @ SV361 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1197]) ).
thf(1286,plain,
! [SV319: name,SV222: produc1141751126_pi_pi,SV106: name] :
( ( ( fresh_1376661020_pi_pi @ SV106 @ SV222 )
= $false )
| ( ( ~ ( fresh_1376661020_pi_pi @ SV319 @ SV222 )
| ( ( perm_n1255502110_pi_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV106 @ SV319 ) @ nil_Pr743626285e_name ) @ SV222 )
= SV222 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1198]) ).
thf(1287,plain,
! [SV107: produc367475239e_name] :
( ( ( SV107
!= ( produc1570949143e_name @ ( sK10_SY714 @ SV107 ) @ ( sK10_SY714 @ SV107 ) ) )
= $false )
| ( ( member695284560e_name @ SV107 @ id_name )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1199]) ).
thf(1288,plain,
! [SV320: name,SV223: pi,SV108: name] :
( ( ( fresh_name_pi @ SV108 @ SV223 )
= $false )
| ( ( ( res @ SV320 @ SV223 )
= ( res @ SV108 @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV320 @ SV108 ) @ nil_Pr743626285e_name ) @ SV223 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1200]) ).
thf(1289,plain,
! [SV109: list_P227219501e_name] :
( ( ( SV109 != nil_Pr743626285e_name )
= $false )
| ( ( ~ ( ~ ( ( SV109 != nil_Pr743626285e_name ) )
| ~ ~ ! [SY717: produc367475239e_name] :
~ ~ ! [SY718: list_P227219501e_name] :
( SV109
!= ( cons_P1213805021e_name @ SY717 @ SY718 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1201]) ).
thf(1290,plain,
! [SV109: list_P227219501e_name] :
( ( ( ~ ! [SY717: produc367475239e_name] :
~ ~ ! [SY718: list_P227219501e_name] :
( SV109
!= ( cons_P1213805021e_name @ SY717 @ SY718 ) ) )
= $false )
| ( ( ~ ( ~ ( ( SV109 != nil_Pr743626285e_name ) )
| ~ ~ ! [SY717: produc367475239e_name] :
~ ~ ! [SY718: list_P227219501e_name] :
( SV109
!= ( cons_P1213805021e_name @ SY717 @ SY718 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1201]) ).
thf(1291,plain,
! [SV321: name,SV224: late_freeRes,SV110: name] :
( ( ( fresh_1641682979reeRes @ SV110 @ SV224 )
= $false )
| ( ( ~ ( fresh_1641682979reeRes @ SV321 @ SV224 )
| ( ( perm_n336613537reeRes @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV110 @ SV321 ) @ nil_Pr743626285e_name ) @ SV224 )
= SV224 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1202]) ).
thf(1292,plain,
! [SV322: name,SV225: name,SV111: name] :
( ( ( fresh_name_name @ SV111 @ SV225 )
= $false )
| ( ( ~ ( fresh_name_name @ SV322 @ SV225 )
| ( ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV111 @ SV322 ) @ nil_Pr743626285e_name ) @ SV225 )
= SV225 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1203]) ).
thf(1293,plain,
! [SV362: name,SV323: late_subject,SV226: pi,SV112: name] :
( ( ( ~ ( fresh_name_pi @ SV112 @ SV226 ) )
= $true )
| ( ( ( late_BoundR @ SV323 @ SV362 @ SV226 )
= ( late_BoundR @ SV323 @ SV112 @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV362 @ SV112 ) @ nil_Pr743626285e_name ) @ SV226 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1204]) ).
thf(1294,plain,
! [SV363: name,SV324: name,SV227: pi,SV113: name] :
( ( ( ~ ( fresh_name_pi @ SV113 @ SV227 ) )
= $true )
| ( ( ( input @ SV324 @ SV363 @ SV227 )
= ( input @ SV324 @ SV113 @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV363 @ SV113 ) @ nil_Pr743626285e_name ) @ SV227 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1205]) ).
thf(1295,plain,
! [SV325: name,SV228: pi_Rep,SV114: name] :
( ( ( fresh_name_pi_Rep @ SV114 @ SV228 )
= $false )
| ( ( ~ ( fresh_name_pi_Rep @ SV325 @ SV228 )
| ( ( perm_name_pi_Rep @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV114 @ SV325 ) @ nil_Pr743626285e_name ) @ SV228 )
= SV228 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1206]) ).
thf(1296,plain,
! [SV326: name,SV229: name,SV115: name] :
( ( ( fresh_441084397e_name @ SV115 @ ( produc1570949143e_name @ SV229 @ SV326 ) )
= $false )
| ( ( fresh_name_name @ SV115 @ SV229 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1207]) ).
thf(1297,plain,
! [SV116: produc367475239e_name] :
( ( ! [SY1038: name] :
( SV116
!= ( produc1570949143e_name @ ( sK2_SY733 @ SV116 ) @ SY1038 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1208]) ).
thf(1298,plain,
! [SV230: list_P227219501e_name,SV117: list_P227219501e_name > $o] :
( ( ( ~ ! [SY736: produc367475239e_name] : ( SV117 @ ( cons_P1213805021e_name @ SY736 @ nil_Pr743626285e_name ) ) )
= $true )
| ( ( ~ ! [SY737: produc367475239e_name,SY738: produc367475239e_name,SY739: list_P227219501e_name] :
( ~ ( SV117 @ SY739 )
| ~ ( SV117 @ ( cons_P1213805021e_name @ SY738 @ SY739 ) )
| ( SV117 @ ( cons_P1213805021e_name @ SY737 @ ( cons_P1213805021e_name @ SY738 @ SY739 ) ) ) )
| ( SV117 @ SV230 ) )
= $true )
| ( ( SV117 @ nil_Pr743626285e_name )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1209]) ).
thf(1299,plain,
! [SV118: produc890461031e_name] :
( ( ( SV118
= ( produc208131031e_name @ nil_Pr743626285e_name @ ( sK8_SY740 @ SV118 ) ) )
= $true )
| ( ( ~ ! [SY741: produc367475239e_name,SY742: list_P227219501e_name,SY743: list_P227219501e_name] :
( SV118
!= ( produc208131031e_name @ ( cons_P1213805021e_name @ SY741 @ SY742 ) @ SY743 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1210]) ).
thf(1300,plain,
! [SV364: name,SV327: name,SV231: name,SV119: name] :
( ( ~ ( ( ( produc1570949143e_name @ SV119 @ SV231 )
= ( produc1570949143e_name @ SV327 @ SV364 ) )
| ~ ( ( SV119 != SV327 )
| ( SV231 != SV364 ) ) )
| ~ ( ( ( produc1570949143e_name @ SV119 @ SV231 )
!= ( produc1570949143e_name @ SV327 @ SV364 ) )
| ~ ~ ( ( SV119 != SV327 )
| ( SV231 != SV364 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1211]) ).
thf(1301,plain,
! [SV364: name,SV327: name,SV231: name,SV119: name] :
( ( ( ( produc1570949143e_name @ SV119 @ SV231 )
= ( produc1570949143e_name @ SV327 @ SV364 ) )
= ( ~ ( ( SV119 != SV327 )
| ( SV231 != SV364 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1211]) ).
thf(1302,plain,
! [SV328: name,SV232: late_subject,SV120: name] :
( ( ( fresh_717452603ubject @ SV120 @ SV232 )
= $false )
| ( ( ~ ( fresh_717452603ubject @ SV328 @ SV232 )
| ( ( perm_n1559866809ubject @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV120 @ SV328 ) @ nil_Pr743626285e_name ) @ SV232 )
= SV232 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1212]) ).
thf(1303,plain,
! [SV374: set_Pr1834926343_pi_pi,SV365: name,SV329: late_subject,SV233: pi,SV121: pi] :
( ( ! [SY1066: list_P227219501e_name] :
( ~ ( strong2129052853vative @ SV121 @ SV233 @ SV329 @ SV365 @ SV374 )
| ~ ( eqvt_pi @ SV374 )
| ( strong2129052853vative @ ( perm_name_pi @ SY1066 @ SV121 ) @ ( perm_name_pi @ SY1066 @ SV233 ) @ ( perm_n1559866809ubject @ SY1066 @ SV329 ) @ ( perm_name_name @ SY1066 @ SV365 ) @ SV374 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1213]) ).
thf(1304,plain,
! [SV234: produc367475239e_name,SV122: produc367475239e_name > $o] :
( ( ( ! [SY1067: name] : ( SV122 @ ( produc1570949143e_name @ ( sK11_SY755 @ SV234 @ SV122 ) @ SY1067 ) ) )
= $false )
| ( ( SV122 @ SV234 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1214]) ).
thf(1305,plain,
! [SV235: list_P227219501e_name,SV123: list_P227219501e_name > $o] :
( ( ( ~ ! [SY758: produc367475239e_name] : ( SV123 @ ( cons_P1213805021e_name @ SY758 @ nil_Pr743626285e_name ) ) )
= $true )
| ( ( ~ ! [SY759: produc367475239e_name,SY760: produc367475239e_name,SY761: list_P227219501e_name] :
( ~ ( ( SY759 != SY760 )
| ( SV123 @ ( cons_P1213805021e_name @ SY759 @ SY761 ) ) )
| ~ ( ~ ( ( SY759 != SY760 ) )
| ( SV123 @ ( cons_P1213805021e_name @ SY760 @ SY761 ) ) )
| ( SV123 @ ( cons_P1213805021e_name @ SY759 @ ( cons_P1213805021e_name @ SY760 @ SY761 ) ) ) )
| ( SV123 @ SV235 ) )
= $true )
| ( ( SV123 @ nil_Pr743626285e_name )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1215]) ).
thf(1306,plain,
! [SV330: name,SV236: pi_Rep,SV124: name] :
( ( ( fresh_name_pi_Rep @ SV124 @ SV236 )
= $false )
| ( ( ~ ( fresh_name_pi_Rep @ SV330 @ SV236 )
| ( ( perm_name_pi_Rep @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV124 @ SV330 ) @ nil_Pr743626285e_name ) @ SV236 )
= SV236 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1216]) ).
thf(1307,plain,
! [SV331: name,SV238: name,SV126: name] :
( ( ( fresh_name_name @ SV126 @ SV238 )
= $false )
| ( ( ~ ( fresh_name_name @ SV331 @ SV238 )
| ( ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV126 @ SV331 ) @ nil_Pr743626285e_name ) @ SV238 )
= SV238 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1217]) ).
thf(1308,plain,
! [SV332: list_P227219501e_name,SV239: late_residual,SV127: pi] :
( ( ( late_transitions @ SV127 @ SV239 )
= $false )
| ( ( late_transitions @ ( perm_name_pi @ SV332 @ SV127 ) @ ( perm_n414416632sidual @ SV332 @ SV239 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1218]) ).
thf(1309,plain,
! [SV366: list_P227219501e_name,SV333: produc367475239e_name,SV240: list_P227219501e_name,SV128: produc367475239e_name] :
( ( ~ ( ( ( cons_P1213805021e_name @ SV128 @ SV240 )
= ( cons_P1213805021e_name @ SV333 @ SV366 ) )
| ~ ( ( SV128 != SV333 )
| ( SV240 != SV366 ) ) )
| ~ ( ( ( cons_P1213805021e_name @ SV128 @ SV240 )
!= ( cons_P1213805021e_name @ SV333 @ SV366 ) )
| ~ ~ ( ( SV128 != SV333 )
| ( SV240 != SV366 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1219]) ).
thf(1310,plain,
! [SV366: list_P227219501e_name,SV333: produc367475239e_name,SV240: list_P227219501e_name,SV128: produc367475239e_name] :
( ( ( ( cons_P1213805021e_name @ SV128 @ SV240 )
= ( cons_P1213805021e_name @ SV333 @ SV366 ) )
= ( ~ ( ( SV128 != SV333 )
| ( SV240 != SV366 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1219]) ).
thf(1311,plain,
! [SV367: name,SV334: name,SV241: list_P227219501e_name,SV129: set_Pr443758855e_name] :
( ( ( ~ ( eqvt_name @ SV129 ) )
= $true )
| ( ( ~ ( member695284560e_name @ ( produc1570949143e_name @ ( perm_name_name @ SV241 @ SV334 ) @ ( perm_name_name @ SV241 @ SV367 ) ) @ SV129 )
| ( member695284560e_name @ ( produc1570949143e_name @ SV334 @ SV367 ) @ SV129 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1220]) ).
thf(1312,plain,
! [SV335: name,SV242: pi,SV130: name] :
( ( ( fresh_name_pi @ SV130 @ SV242 )
= $false )
| ( ( ~ ( fresh_name_pi @ SV335 @ SV242 )
| ( ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV130 @ SV335 ) @ nil_Pr743626285e_name ) @ SV242 )
= SV242 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1221]) ).
thf(1313,plain,
! [SV368: name,SV336: late_subject,SV243: pi,SV131: set_Pr1834926343_pi_pi] :
( ( ( ~ ( ord_le630093991_pi_pi @ id_pi @ SV131 ) )
= $true )
| ( ( strong2129052853vative @ SV243 @ SV243 @ SV336 @ SV368 @ SV131 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1222]) ).
thf(1314,plain,
! [SV369: name,SV337: produc1141751126_pi_pi,SV244: name,SV132: name] :
( ( ( ~ ( ( SV132 != SV244 ) ) )
= $true )
| ( ( ~ ( fresh_1376661020_pi_pi @ SV244 @ SV337 )
| ~ ( fresh_1376661020_pi_pi @ SV132 @ SV337 )
| ( fresh_1376661020_pi_pi @ SV132 @ ( perm_n1255502110_pi_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV244 @ SV369 ) @ nil_Pr743626285e_name ) @ SV337 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1223]) ).
thf(1315,plain,
! [SV338: name,SV245: late_subject,SV133: name] :
( ( ( fresh_717452603ubject @ SV133 @ SV245 )
= $false )
| ( ( ~ ( fresh_717452603ubject @ SV338 @ SV245 )
| ( ( perm_n1559866809ubject @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV133 @ SV338 ) @ nil_Pr743626285e_name ) @ SV245 )
= SV245 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1224]) ).
thf(1316,plain,
! [SV246: produc367475239e_name,SV134: produc367475239e_name > $o] :
( ( ( ! [SY1068: name] : ( SV134 @ ( produc1570949143e_name @ ( sK12_SY786 @ SV246 @ SV134 ) @ SY1068 ) ) )
= $false )
| ( ( SV134 @ SV246 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1225]) ).
thf(1317,plain,
! [SV160: name,SV31: name] :
( ( ( ( late_BoundOutputS @ SV31 )
= ( late_BoundOutputS @ SV160 ) )
= $false )
| ( ( ~ ( ( ( late_BoundOutputS @ SV31 )
!= ( late_BoundOutputS @ SV160 ) )
| ( SV31 != SV160 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1226]) ).
thf(1318,plain,
! [SV160: name,SV31: name] :
( ( ( SV31 = SV160 )
= $false )
| ( ( ~ ( ( ( late_BoundOutputS @ SV31 )
!= ( late_BoundOutputS @ SV160 ) )
| ( SV31 != SV160 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1226]) ).
thf(1319,plain,
! [SV161: name,SV32: name] :
( ( ( ( late_BoundOutputS @ SV32 )
= ( late_BoundOutputS @ SV161 ) )
= $false )
| ( ( ~ ( ( ( late_BoundOutputS @ SV32 )
!= ( late_BoundOutputS @ SV161 ) )
| ( SV32 != SV161 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1227]) ).
thf(1320,plain,
! [SV161: name,SV32: name] :
( ( ( SV32 = SV161 )
= $false )
| ( ( ~ ( ( ( late_BoundOutputS @ SV32 )
!= ( late_BoundOutputS @ SV161 ) )
| ( SV32 != SV161 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1227]) ).
thf(1321,plain,
! [SV267: pi,SV163: name,SV38: list_P227219501e_name] :
( ( ( ( perm_name_o @ SV38 @ ( fresh_name_pi @ SV163 @ SV267 ) )
| ( fresh_name_pi @ ( perm_name_name @ SV38 @ SV163 ) @ ( perm_name_pi @ SV38 @ SV267 ) ) )
= $false )
| ( ( ~ ( ~ ( perm_name_o @ SV38 @ ( fresh_name_pi @ SV163 @ SV267 ) )
| ~ ( fresh_name_pi @ ( perm_name_name @ SV38 @ SV163 ) @ ( perm_name_pi @ SV38 @ SV267 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1228]) ).
thf(1322,plain,
! [SV268: pi,SV164: name,SV39: list_P227219501e_name] :
( ( ( ( fresh_name_pi @ ( perm_name_name @ SV39 @ SV164 ) @ ( perm_name_pi @ SV39 @ SV268 ) )
| ( fresh_name_pi @ SV164 @ SV268 ) )
= $false )
| ( ( ~ ( ~ ( fresh_name_pi @ ( perm_name_name @ SV39 @ SV164 ) @ ( perm_name_pi @ SV39 @ SV268 ) )
| ~ ( fresh_name_pi @ SV164 @ SV268 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1229]) ).
thf(1323,plain,
! [SV272: pi,SV170: pi,SV46: list_P227219501e_name] :
( ( ( ( ( perm_name_pi @ SV46 @ SV170 )
= ( perm_name_pi @ SV46 @ SV272 ) )
| ( SV170 = SV272 ) )
= $false )
| ( ( ~ ( ( ( perm_name_pi @ SV46 @ SV170 )
!= ( perm_name_pi @ SV46 @ SV272 ) )
| ( SV170 != SV272 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1230]) ).
thf(1324,plain,
! [SV275: set_pi,SV173: pi,SV49: list_P227219501e_name] :
( ( ( ( perm_name_o @ SV49 @ ( member_pi @ SV173 @ SV275 ) )
| ( member_pi @ ( perm_name_pi @ SV49 @ SV173 ) @ ( perm_name_set_pi @ SV49 @ SV275 ) ) )
= $false )
| ( ( ~ ( ~ ( perm_name_o @ SV49 @ ( member_pi @ SV173 @ SV275 ) )
| ~ ( member_pi @ ( perm_name_pi @ SV49 @ SV173 ) @ ( perm_name_set_pi @ SV49 @ SV275 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1231]) ).
thf(1325,plain,
! [SV276: pi,SV174: pi,SV50: list_P227219501e_name] :
( ( ( ( perm_name_o @ SV50 @ ( SV174 = SV276 ) )
| ( ( perm_name_pi @ SV50 @ SV174 )
= ( perm_name_pi @ SV50 @ SV276 ) ) )
= $false )
| ( ( ~ ( ~ ( perm_name_o @ SV50 @ ( SV174 = SV276 ) )
| ( ( perm_name_pi @ SV50 @ SV174 )
!= ( perm_name_pi @ SV50 @ SV276 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1232]) ).
thf(1326,plain,
! [SV175: name,SV51: name] :
( ( ( member695284560e_name @ ( produc1570949143e_name @ SV51 @ SV175 ) @ id_name )
= $false )
| ( ( ~ ( ~ ( member695284560e_name @ ( produc1570949143e_name @ SV51 @ SV175 ) @ id_name )
| ( SV51 != SV175 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1233]) ).
thf(1327,plain,
! [SV175: name,SV51: name] :
( ( ( SV51 = SV175 )
= $false )
| ( ( ~ ( ~ ( member695284560e_name @ ( produc1570949143e_name @ SV51 @ SV175 ) @ id_name )
| ( SV51 != SV175 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1233]) ).
thf(1328,plain,
! [SV176: name,SV53: name] :
( ( ( fresh_717452603ubject @ SV53 @ ( late_BoundOutputS @ SV176 ) )
= $false )
| ( ( ~ ( ~ ( fresh_717452603ubject @ SV53 @ ( late_BoundOutputS @ SV176 ) )
| ~ ( fresh_name_name @ SV53 @ SV176 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1234]) ).
thf(1329,plain,
! [SV176: name,SV53: name] :
( ( ( fresh_name_name @ SV53 @ SV176 )
= $false )
| ( ( ~ ( ~ ( fresh_717452603ubject @ SV53 @ ( late_BoundOutputS @ SV176 ) )
| ~ ( fresh_name_name @ SV53 @ SV176 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1234]) ).
thf(1330,plain,
! [SV375: pi,SV370: name,SV340: name,SV284: pi,SV184: name,SV61: name] :
( ( ~ ( late_transitions @ ( input @ SV61 @ SV184 @ SV284 ) @ ( late_BoundR @ ( late_BoundOutputS @ SV340 ) @ SV370 @ SV375 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1235]) ).
thf(1331,plain,
! [SV63: $o] :
( ( SV63 = $false )
| ( ( ~ ( ~ SV63
| ~ $true ) )
= $true )
| ( ( SV63 = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1236]) ).
thf(1332,plain,
! [SV63: $o] :
( ( $true = $false )
| ( ( ~ ( ~ SV63
| ~ $true ) )
= $true )
| ( ( SV63 = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1236]) ).
thf(1333,plain,
! [SV63: $o] :
( ( ( SV63
| $false )
= $false )
| ( ( ~ ( ~ SV63
| ~ $false ) )
= $true )
| ( ( SV63 = $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1237]) ).
thf(1334,plain,
( ( $true = $false )
| ( ( ~ ( ~ $true
| ~ $true ) )
= $true )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1238]) ).
thf(1335,plain,
( ( $true = $false )
| ( ( ~ ( ~ $true
| ~ $true ) )
= $true )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1238]) ).
thf(1336,plain,
( ( ( $true
| $false )
= $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1239]) ).
thf(1337,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $true ) )
= $true )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1240]) ).
thf(1338,plain,
( ( $true = $false )
| ( ( ~ ( ~ $false
| ~ $true ) )
= $true )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1240]) ).
thf(1339,plain,
( ( ( $false
| $false )
= $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1241]) ).
thf(1340,plain,
! [SV186: list_P227219501e_name,SV286: list_P227219501e_name,SV64: list_P227219501e_name > list_P227219501e_name > $o] :
( ( ( SV64 @ nil_Pr743626285e_name @ ( sK13_SY558 @ SV286 @ SV186 @ SV64 ) )
= $false )
| ( ( ~ ! [SY559: produc367475239e_name,SY560: list_P227219501e_name,SY561: list_P227219501e_name] :
( ~ ( SV64 @ SY561 @ SY560 )
| ( SV64 @ ( cons_P1213805021e_name @ SY559 @ SY560 ) @ SY561 ) )
| ( SV64 @ SV186 @ SV286 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1242]) ).
thf(1341,plain,
! [SV287: list_P227219501e_name,SV187: list_P227219501e_name,SV65: list_P227219501e_name > list_P227219501e_name > $o] :
( ( ( ~ ! [SY564: produc367475239e_name,SY565: list_P227219501e_name] : ( SV65 @ ( cons_P1213805021e_name @ SY564 @ SY565 ) @ nil_Pr743626285e_name ) )
= $true )
| ( ( ~ ! [SY566: produc367475239e_name,SY567: list_P227219501e_name] : ( SV65 @ nil_Pr743626285e_name @ ( cons_P1213805021e_name @ SY566 @ SY567 ) )
| ~ ! [SY568: produc367475239e_name,SY569: list_P227219501e_name,SY570: produc367475239e_name,SY571: list_P227219501e_name] :
( ~ ( SV65 @ SY569 @ SY571 )
| ( SV65 @ ( cons_P1213805021e_name @ SY568 @ SY569 ) @ ( cons_P1213805021e_name @ SY570 @ SY571 ) ) )
| ( SV65 @ SV187 @ SV287 ) )
= $true )
| ( ( SV65 @ nil_Pr743626285e_name @ nil_Pr743626285e_name )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1243]) ).
thf(1342,plain,
! [SV371: list_P227219501e_name,SV342: set_Pr1834926343_pi_pi,SV289: pi,SV189: set_Pr1834926343_pi_pi,SV67: pi] :
( ( ( ~ ( strong743114133lation @ SV67 @ SV189 @ SV289 ) )
= $true )
| ( ( ~ ( ord_le630093991_pi_pi @ SV189 @ SV342 )
| ~ ( eqvt_pi @ SV342 )
| ( strong743114133lation @ ( perm_name_pi @ SV371 @ SV67 ) @ SV342 @ ( perm_name_pi @ SV371 @ SV289 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1245]) ).
thf(1343,plain,
! [SV190: list_P227219501e_name,SV290: pi,SV68: name] :
( ( ( ~ ( fresh_name_pi @ SV68 @ SV290 ) )
= $true )
| ( ( fresh_name_pi @ SV68 @ ( perm_name_pi @ SV190 @ SV290 ) )
= $true )
| ( ( fresh_922791155e_name @ SV68 @ SV190 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1246]) ).
thf(1344,plain,
! [SV69: list_P227219501e_name] :
( ( ( ! [SY580: produc367475239e_name] :
( SV69
!= ( cons_P1213805021e_name @ SY580 @ nil_Pr743626285e_name ) ) )
= $false )
| ( ( ~ ! [SY581: produc367475239e_name,SY582: produc367475239e_name,SY583: list_P227219501e_name] :
( SV69
!= ( cons_P1213805021e_name @ SY581 @ ( cons_P1213805021e_name @ SY582 @ SY583 ) ) ) )
= $true )
| ( ( SV69 = nil_Pr743626285e_name )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1247]) ).
thf(1345,plain,
! [SV191: produc367475239e_name > produc367475239e_name > $o,SV291: list_P227219501e_name,SV70: ( produc367475239e_name > produc367475239e_name > $o ) > list_P227219501e_name > $o] :
( ( ( SV70 @ ( sK14_SY586 @ SV291 @ SV191 @ SV70 ) @ nil_Pr743626285e_name )
= $false )
| ( ( ~ ! [SY587: produc367475239e_name > produc367475239e_name > $o,SY588: produc367475239e_name,SY589: list_P227219501e_name] :
( ~ ( SV70 @ SY587 @ SY589 )
| ( SV70 @ SY587 @ ( cons_P1213805021e_name @ SY588 @ SY589 ) ) )
| ( SV70 @ SV191 @ SV291 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1248]) ).
thf(1346,plain,
! [SV343: list_P227219501e_name,SV292: list_P227219501e_name,SV192: produc367475239e_name > produc367475239e_name,SV71: ( produc367475239e_name > produc367475239e_name ) > list_P227219501e_name > list_P227219501e_name > $o] :
( ( ( ! [SY593: produc367475239e_name > produc367475239e_name,SY594: list_P227219501e_name] : ( SV71 @ SY593 @ nil_Pr743626285e_name @ SY594 ) )
= $false )
| ( ( ~ ! [SY595: produc367475239e_name > produc367475239e_name,SY596: produc367475239e_name,SY597: list_P227219501e_name,SY598: list_P227219501e_name] :
( ~ ( SV71 @ SY595 @ SY597 @ ( cons_P1213805021e_name @ ( SY595 @ SY596 ) @ SY598 ) )
| ( SV71 @ SY595 @ ( cons_P1213805021e_name @ SY596 @ SY597 ) @ SY598 ) )
| ( SV71 @ SV192 @ SV292 @ SV343 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1249]) ).
thf(1347,plain,
! [SV72: list_l1406151091e_name] :
( ( ( ! [SY599: list_l1406151091e_name] :
( SV72
!= ( cons_l798145763e_name @ nil_Pr743626285e_name @ SY599 ) ) )
= $false )
| ( ( ~ ! [SY600: produc367475239e_name,SY601: list_P227219501e_name,SY602: list_l1406151091e_name] :
( SV72
!= ( cons_l798145763e_name @ ( cons_P1213805021e_name @ SY600 @ SY601 ) @ SY602 ) ) )
= $true )
| ( ( SV72 = nil_li29751603e_name )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1250]) ).
thf(1348,plain,
! [SV344: pi,SV293: pi,SV193: list_P227219501e_name,SV74: $o] :
( ( ~ ( ~ SV74
| ( ( perm_name_pi @ SV193 @ ( if_pi @ SV74 @ SV293 @ SV344 ) )
= ( perm_name_pi @ SV193 @ SV293 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1252]) ).
thf(1349,plain,
! [SV344: pi,SV293: pi,SV193: list_P227219501e_name,SV74: $o] :
( ( ~ ( ~ ~ SV74
| ( ( perm_name_pi @ SV193 @ ( if_pi @ SV74 @ SV293 @ SV344 ) )
= ( perm_name_pi @ SV193 @ SV344 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1252]) ).
thf(1350,plain,
! [SV345: pi,SV294: pi,SV194: list_P227219501e_name] :
( ( ~ ( ~ $true
| ( ( perm_name_pi @ SV194 @ ( if_pi @ $true @ SV294 @ SV345 ) )
= ( perm_name_pi @ SV194 @ SV294 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1253]) ).
thf(1351,plain,
! [SV345: pi,SV294: pi,SV194: list_P227219501e_name] :
( ( ~ ( ~ ~ $true
| ( ( perm_name_pi @ SV194 @ ( if_pi @ $true @ SV294 @ SV345 ) )
= ( perm_name_pi @ SV194 @ SV345 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1253]) ).
thf(1352,plain,
! [SV346: pi,SV295: pi,SV195: list_P227219501e_name] :
( ( ~ ( ~ $false
| ( ( perm_name_pi @ SV195 @ ( if_pi @ $false @ SV295 @ SV346 ) )
= ( perm_name_pi @ SV195 @ SV295 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1254]) ).
thf(1353,plain,
! [SV346: pi,SV295: pi,SV195: list_P227219501e_name] :
( ( ~ ( ~ ~ $false
| ( ( perm_name_pi @ SV195 @ ( if_pi @ $false @ SV295 @ SV346 ) )
= ( perm_name_pi @ SV195 @ SV346 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1254]) ).
thf(1354,plain,
! [SV347: name,SV297: name,SV197: name,SV76: name] :
( ( ( ~ ( ( ( produc1570949143e_name @ SV76 @ SV197 )
= ( produc1570949143e_name @ SV297 @ SV347 ) )
| ~ ( ( SV76 != SV297 )
| ( SV197 != SV347 ) ) ) )
= $true )
| ( ( ~ ( ( ( produc1570949143e_name @ SV76 @ SV197 )
!= ( produc1570949143e_name @ SV297 @ SV347 ) )
| ~ ~ ( ( SV76 != SV297 )
| ( SV197 != SV347 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1256]) ).
thf(1355,plain,
! [SV348: name,SV298: name,SV198: name,SV77: name] :
( ( ( ( produc1570949143e_name @ SV77 @ SV198 )
= ( produc1570949143e_name @ SV298 @ SV348 ) )
= $false )
| ( ( ~ ( ( SV77 != SV298 )
| ( SV198 != SV348 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1258]) ).
thf(1356,plain,
! [SV349: list_P227219501e_name,SV299: pi,SV199: pi,SV78: set_Pr1834926343_pi_pi] :
( ( ( eqvt_pi @ SV78 )
= $false )
| ( ( ~ ( member558706512_pi_pi @ ( product_Pair_pi_pi @ SV199 @ SV299 ) @ SV78 )
| ( member558706512_pi_pi @ ( product_Pair_pi_pi @ ( perm_name_pi @ SV349 @ SV199 ) @ ( perm_name_pi @ SV349 @ SV299 ) ) @ SV78 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1259]) ).
thf(1357,plain,
! [SV79: produc890461031e_name] :
( ( ( ~ ! [SY620: list_P227219501e_name] :
( SV79
!= ( produc208131031e_name @ SY620 @ nil_Pr743626285e_name ) ) )
= $true )
| ( ( ~ ! [SY621: produc367475239e_name,SY622: list_P227219501e_name,SY623: produc367475239e_name,SY624: list_P227219501e_name] :
( SV79
!= ( produc208131031e_name @ ( cons_P1213805021e_name @ SY621 @ SY622 ) @ ( cons_P1213805021e_name @ SY623 @ SY624 ) ) ) )
= $true )
| ( ( SV79
= ( produc208131031e_name @ nil_Pr743626285e_name @ ( sK4_SY619 @ SV79 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1260]) ).
thf(1358,plain,
! [SV80: set_Pr443758855e_name,SV200: set_Pr443758855e_name] :
( ( ( ~ ( member695284560e_name @ ( produc1570949143e_name @ ( sK9_SY877 @ SV200 @ SV80 ) @ ( sK15_SY1063 @ SV80 @ SV200 ) ) @ SV80 )
| ( member695284560e_name @ ( produc1570949143e_name @ ( sK9_SY877 @ SV200 @ SV80 ) @ ( sK15_SY1063 @ SV80 @ SV200 ) ) @ SV200 ) )
= $false )
| ( ( ord_le793202855e_name @ SV80 @ SV200 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1261]) ).
thf(1359,plain,
! [SV350: name,SV300: late_subject,SV201: name,SV81: name] :
( ( ( SV81 != SV201 )
= $false )
| ( ( ~ ( fresh_717452603ubject @ SV201 @ SV300 )
| ~ ( fresh_717452603ubject @ SV81 @ SV300 )
| ( fresh_717452603ubject @ SV81 @ ( perm_n1559866809ubject @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV201 @ SV350 ) @ nil_Pr743626285e_name ) @ SV300 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1262]) ).
thf(1360,plain,
! [SV351: name,SV301: pi,SV203: name,SV83: name] :
( ( ( SV83 != SV203 )
= $false )
| ( ( ~ ( fresh_name_pi @ SV203 @ SV301 )
| ~ ( fresh_name_pi @ SV83 @ SV301 )
| ( fresh_name_pi @ SV83 @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV203 @ SV351 ) @ nil_Pr743626285e_name ) @ SV301 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1263]) ).
thf(1361,plain,
! [SV84: name,SV204: pi,SV302: name] :
( ( ( ~ ( fresh_name_pi @ SV302 @ SV204 ) )
= $true )
| ( ( ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV84 @ SV302 ) @ nil_Pr743626285e_name ) @ SV204 )
= SV204 )
= $true )
| ( ( fresh_name_pi @ SV84 @ SV204 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1264]) ).
thf(1362,plain,
! [SV85: list_P227219501e_name] :
( ( ( ! [SY1069: list_P227219501e_name] :
( SV85
!= ( cons_P1213805021e_name @ ( sK16_SY637 @ SV85 ) @ SY1069 ) ) )
= $false )
| ( ( SV85 = nil_Pr743626285e_name )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1265]) ).
thf(1363,plain,
! [SV303: name,SV205: name,SV87: name] :
( ( ( SV87 = SV205 )
= $true )
| ( ( ~ ( ( SV303 != SV205 ) )
| ( ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV87 @ SV303 ) @ nil_Pr743626285e_name ) @ SV205 )
= SV205 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1266]) ).
thf(1364,plain,
! [SV376: set_Pr1834926343_pi_pi,SV372: set_Pr1834926343_pi_pi,SV352: name,SV304: late_subject,SV206: pi,SV88: pi] :
( ( ~ ( strong2129052853vative @ SV88 @ SV206 @ SV304 @ SV352 @ SV372 )
| ~ ( ord_le630093991_pi_pi @ SV372 @ SV376 )
| ( strong2129052853vative @ SV88 @ SV206 @ SV304 @ SV352 @ SV376 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1267]) ).
thf(1365,plain,
! [SV207: produc367475239e_name > produc367475239e_name > $o,SV305: list_P227219501e_name,SV89: ( produc367475239e_name > produc367475239e_name > $o ) > list_P227219501e_name > $o] :
( ( ( SV89 @ ( sK17_SY649 @ SV305 @ SV207 @ SV89 ) @ nil_Pr743626285e_name )
= $false )
| ( ( ~ ! [SY650: produc367475239e_name > produc367475239e_name > $o,SY651: produc367475239e_name] : ( SV89 @ SY650 @ ( cons_P1213805021e_name @ SY651 @ nil_Pr743626285e_name ) )
| ~ ! [SY652: produc367475239e_name > produc367475239e_name > $o,SY653: produc367475239e_name,SY654: produc367475239e_name,SY655: list_P227219501e_name] :
( ~ ( SV89 @ SY652 @ ( cons_P1213805021e_name @ SY654 @ SY655 ) )
| ( SV89 @ SY652 @ ( cons_P1213805021e_name @ SY653 @ ( cons_P1213805021e_name @ SY654 @ SY655 ) ) ) )
| ( SV89 @ SV207 @ SV305 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1268]) ).
thf(1366,plain,
! [SV377: list_P227219501e_name,SV373: set_Pr1834926343_pi_pi,SV353: name,SV306: late_subject,SV208: pi,SV90: pi] :
( ( ~ ( strong2129052853vative @ SV90 @ SV208 @ SV306 @ SV353 @ SV373 )
| ~ ( eqvt_pi @ SV373 )
| ( strong2129052853vative @ ( perm_name_pi @ SV377 @ SV90 ) @ ( perm_name_pi @ SV377 @ SV208 ) @ SV306 @ ( perm_name_name @ SV377 @ SV353 ) @ SV373 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1269]) ).
thf(1367,plain,
! [SV91: list_P227219501e_name,SV209: list_P227219501e_name > $o] :
( ( ( ~ ! [SY901: produc367475239e_name] : ( SV209 @ ( cons_P1213805021e_name @ SY901 @ nil_Pr743626285e_name ) ) )
= $true )
| ( ( ~ ! [SY902: produc367475239e_name,SY903: list_P227219501e_name] :
( ~ ( ( SY903 != nil_Pr743626285e_name ) )
| ~ ( SV209 @ SY903 )
| ( SV209 @ ( cons_P1213805021e_name @ SY902 @ SY903 ) ) )
| ( SV209 @ SV91 ) )
= $true )
| ( ( SV91 = nil_Pr743626285e_name )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1270]) ).
thf(1368,plain,
! [SV354: pi,SV307: pi,SV210: list_P227219501e_name,SV92: set_Pr1834926343_pi_pi] :
( ( ( eqvt_pi @ SV92 )
= $false )
| ( ( ~ ( member558706512_pi_pi @ ( product_Pair_pi_pi @ ( perm_name_pi @ SV210 @ SV307 ) @ ( perm_name_pi @ SV210 @ SV354 ) ) @ SV92 )
| ( member558706512_pi_pi @ ( product_Pair_pi_pi @ SV307 @ SV354 ) @ SV92 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1271]) ).
thf(1369,plain,
! [SV93: name,SV211: produc1141751126_pi_pi,SV308: name] :
( ( ( ~ ( fresh_1376661020_pi_pi @ SV308 @ SV211 ) )
= $true )
| ( ( ( perm_n1255502110_pi_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV93 @ SV308 ) @ nil_Pr743626285e_name ) @ SV211 )
= SV211 )
= $true )
| ( ( fresh_1376661020_pi_pi @ SV93 @ SV211 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1272]) ).
thf(1370,plain,
! [SV355: name,SV309: name,SV212: name,SV94: name] :
( ( ( SV94 != SV212 )
= $false )
| ( ( ~ ( fresh_name_name @ SV212 @ SV309 )
| ~ ( fresh_name_name @ SV94 @ SV309 )
| ( fresh_name_name @ SV94 @ ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV212 @ SV355 ) @ nil_Pr743626285e_name ) @ SV309 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1273]) ).
thf(1371,plain,
! [SV356: name,SV310: late_freeRes,SV213: name,SV95: name] :
( ( ( SV95 != SV213 )
= $false )
| ( ( ~ ( fresh_1641682979reeRes @ SV213 @ SV310 )
| ~ ( fresh_1641682979reeRes @ SV95 @ SV310 )
| ( fresh_1641682979reeRes @ SV95 @ ( perm_n336613537reeRes @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV213 @ SV356 ) @ nil_Pr743626285e_name ) @ SV310 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1274]) ).
thf(1372,plain,
! [SV96: produc1872410278e_name] :
( ( ( ~ ! [SY677: produc367475239e_name > produc367475239e_name > $o,SY678: produc367475239e_name] :
( SV96
!= ( produc1069608854e_name @ SY677 @ ( cons_P1213805021e_name @ SY678 @ nil_Pr743626285e_name ) ) ) )
= $true )
| ( ( ~ ! [SY679: produc367475239e_name > produc367475239e_name > $o,SY680: produc367475239e_name,SY681: produc367475239e_name,SY682: list_P227219501e_name] :
( SV96
!= ( produc1069608854e_name @ SY679 @ ( cons_P1213805021e_name @ SY680 @ ( cons_P1213805021e_name @ SY681 @ SY682 ) ) ) ) )
= $true )
| ( ( SV96
= ( produc1069608854e_name @ ( sK6_SY676 @ SV96 ) @ nil_Pr743626285e_name ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1275]) ).
thf(1373,plain,
! [SV214: list_P227219501e_name,SV311: list_P227219501e_name,SV97: list_P227219501e_name > list_P227219501e_name > $o] :
( ( ( SV97 @ nil_Pr743626285e_name @ ( sK18_SY685 @ SV311 @ SV214 @ SV97 ) )
= $false )
| ( ( ~ ! [SY686: list_P227219501e_name] : ( SV97 @ SY686 @ nil_Pr743626285e_name )
| ~ ! [SY687: produc367475239e_name,SY688: list_P227219501e_name,SY689: produc367475239e_name,SY690: list_P227219501e_name] :
( ~ ( SV97 @ SY688 @ ( cons_P1213805021e_name @ SY689 @ SY690 ) )
| ~ ( SV97 @ ( cons_P1213805021e_name @ SY687 @ SY688 ) @ SY690 )
| ( SV97 @ ( cons_P1213805021e_name @ SY687 @ SY688 ) @ ( cons_P1213805021e_name @ SY689 @ SY690 ) ) )
| ( SV97 @ SV214 @ SV311 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1276]) ).
thf(1374,plain,
! [SV357: name,SV312: pi_Rep,SV215: name,SV98: name] :
( ( ( SV98 != SV215 )
= $false )
| ( ( ~ ( fresh_name_pi_Rep @ SV215 @ SV312 )
| ~ ( fresh_name_pi_Rep @ SV98 @ SV312 )
| ( fresh_name_pi_Rep @ SV98 @ ( perm_name_pi_Rep @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV215 @ SV357 ) @ nil_Pr743626285e_name ) @ SV312 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1277]) ).
thf(1375,plain,
! [SV99: name,SV216: late_freeRes,SV313: name] :
( ( ( ~ ( fresh_1641682979reeRes @ SV313 @ SV216 ) )
= $true )
| ( ( ( perm_n336613537reeRes @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV99 @ SV313 ) @ nil_Pr743626285e_name ) @ SV216 )
= SV216 )
= $true )
| ( ( fresh_1641682979reeRes @ SV99 @ SV216 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1278]) ).
thf(1376,plain,
! [SV314: list_P227219501e_name,SV217: produc367475239e_name,SV100: list_P227219501e_name] :
( ( ( SV100 = nil_Pr743626285e_name )
= $false )
| ( ( SV100
= ( cons_P1213805021e_name @ SV217 @ SV314 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1279]) ).
thf(1377,plain,
! [SV358: list_P227219501e_name,SV315: name,SV219: name,SV102: set_Pr443758855e_name] :
( ( ( eqvt_name @ SV102 )
= $false )
| ( ( ~ ( member695284560e_name @ ( produc1570949143e_name @ SV219 @ SV315 ) @ SV102 )
| ( member695284560e_name @ ( produc1570949143e_name @ ( perm_name_name @ SV358 @ SV219 ) @ ( perm_name_name @ SV358 @ SV315 ) ) @ SV102 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1280]) ).
thf(1378,plain,
! [SV103: produc1872410278e_name] :
( ( ( ! [SY703: produc367475239e_name > produc367475239e_name > $o,SY704: produc367475239e_name,SY705: list_P227219501e_name] :
( SV103
!= ( produc1069608854e_name @ SY703 @ ( cons_P1213805021e_name @ SY704 @ SY705 ) ) ) )
= $false )
| ( ( SV103
= ( produc1069608854e_name @ ( sK7_SY702 @ SV103 ) @ nil_Pr743626285e_name ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1281]) ).
thf(1379,plain,
! [SV220: list_P227219501e_name,SV104: list_P227219501e_name > $o] :
( ( ( ! [SY707: produc367475239e_name,SY708: list_P227219501e_name] :
( ~ ( SV104 @ SY708 )
| ( SV104 @ ( cons_P1213805021e_name @ SY707 @ SY708 ) ) ) )
= $false )
| ( ( SV104 @ SV220 )
= $true )
| ( ( SV104 @ nil_Pr743626285e_name )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1282]) ).
thf(1380,plain,
! [SV359: pi,SV316: pi,SV221: $o,SV105: list_P227219501e_name] :
( ( ~ ( ~ ( perm_name_o @ SV105 @ SV221 )
| ( ( perm_name_pi @ SV105 @ ( if_pi @ SV221 @ SV316 @ SV359 ) )
= ( perm_name_pi @ SV105 @ SV316 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1283]) ).
thf(1381,plain,
! [SV359: pi,SV316: pi,SV221: $o,SV105: list_P227219501e_name] :
( ( ~ ( ~ ~ ( perm_name_o @ SV105 @ SV221 )
| ( ( perm_name_pi @ SV105 @ ( if_pi @ SV221 @ SV316 @ SV359 ) )
= ( perm_name_pi @ SV105 @ SV359 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1283]) ).
thf(1382,plain,
! [SV360: pi,SV317: pi,SV105: list_P227219501e_name] :
( ( ~ ( ~ ( perm_name_o @ SV105 @ $true )
| ( ( perm_name_pi @ SV105 @ ( if_pi @ $true @ SV317 @ SV360 ) )
= ( perm_name_pi @ SV105 @ SV317 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1284]) ).
thf(1383,plain,
! [SV360: pi,SV317: pi,SV105: list_P227219501e_name] :
( ( ~ ( ~ ~ ( perm_name_o @ SV105 @ $true )
| ( ( perm_name_pi @ SV105 @ ( if_pi @ $true @ SV317 @ SV360 ) )
= ( perm_name_pi @ SV105 @ SV360 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1284]) ).
thf(1384,plain,
! [SV361: pi,SV318: pi,SV105: list_P227219501e_name] :
( ( ~ ( ~ ( perm_name_o @ SV105 @ $false )
| ( ( perm_name_pi @ SV105 @ ( if_pi @ $false @ SV318 @ SV361 ) )
= ( perm_name_pi @ SV105 @ SV318 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1285]) ).
thf(1385,plain,
! [SV361: pi,SV318: pi,SV105: list_P227219501e_name] :
( ( ~ ( ~ ~ ( perm_name_o @ SV105 @ $false )
| ( ( perm_name_pi @ SV105 @ ( if_pi @ $false @ SV318 @ SV361 ) )
= ( perm_name_pi @ SV105 @ SV361 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1285]) ).
thf(1386,plain,
! [SV106: name,SV222: produc1141751126_pi_pi,SV319: name] :
( ( ( ~ ( fresh_1376661020_pi_pi @ SV319 @ SV222 ) )
= $true )
| ( ( ( perm_n1255502110_pi_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV106 @ SV319 ) @ nil_Pr743626285e_name ) @ SV222 )
= SV222 )
= $true )
| ( ( fresh_1376661020_pi_pi @ SV106 @ SV222 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1286]) ).
thf(1387,plain,
! [SV107: produc367475239e_name] :
( ( ( SV107
= ( produc1570949143e_name @ ( sK10_SY714 @ SV107 ) @ ( sK10_SY714 @ SV107 ) ) )
= $true )
| ( ( member695284560e_name @ SV107 @ id_name )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1287]) ).
thf(1388,plain,
! [SV109: list_P227219501e_name] :
( ( ( SV109 = nil_Pr743626285e_name )
= $true )
| ( ( ~ ( ~ ( ( SV109 != nil_Pr743626285e_name ) )
| ~ ~ ! [SY717: produc367475239e_name] :
~ ~ ! [SY718: list_P227219501e_name] :
( SV109
!= ( cons_P1213805021e_name @ SY717 @ SY718 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1289]) ).
thf(1389,plain,
! [SV109: list_P227219501e_name] :
( ( ( ! [SY717: produc367475239e_name] :
~ ~ ! [SY718: list_P227219501e_name] :
( SV109
!= ( cons_P1213805021e_name @ SY717 @ SY718 ) ) )
= $true )
| ( ( ~ ( ~ ( ( SV109 != nil_Pr743626285e_name ) )
| ~ ~ ! [SY717: produc367475239e_name] :
~ ~ ! [SY718: list_P227219501e_name] :
( SV109
!= ( cons_P1213805021e_name @ SY717 @ SY718 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1290]) ).
thf(1390,plain,
! [SV110: name,SV224: late_freeRes,SV321: name] :
( ( ( ~ ( fresh_1641682979reeRes @ SV321 @ SV224 ) )
= $true )
| ( ( ( perm_n336613537reeRes @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV110 @ SV321 ) @ nil_Pr743626285e_name ) @ SV224 )
= SV224 )
= $true )
| ( ( fresh_1641682979reeRes @ SV110 @ SV224 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1291]) ).
thf(1391,plain,
! [SV111: name,SV225: name,SV322: name] :
( ( ( ~ ( fresh_name_name @ SV322 @ SV225 ) )
= $true )
| ( ( ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV111 @ SV322 ) @ nil_Pr743626285e_name ) @ SV225 )
= SV225 )
= $true )
| ( ( fresh_name_name @ SV111 @ SV225 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1292]) ).
thf(1392,plain,
! [SV362: name,SV323: late_subject,SV226: pi,SV112: name] :
( ( ( fresh_name_pi @ SV112 @ SV226 )
= $false )
| ( ( ( late_BoundR @ SV323 @ SV362 @ SV226 )
= ( late_BoundR @ SV323 @ SV112 @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV362 @ SV112 ) @ nil_Pr743626285e_name ) @ SV226 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1293]) ).
thf(1393,plain,
! [SV363: name,SV324: name,SV227: pi,SV113: name] :
( ( ( fresh_name_pi @ SV113 @ SV227 )
= $false )
| ( ( ( input @ SV324 @ SV363 @ SV227 )
= ( input @ SV324 @ SV113 @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV363 @ SV113 ) @ nil_Pr743626285e_name ) @ SV227 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1294]) ).
thf(1394,plain,
! [SV114: name,SV228: pi_Rep,SV325: name] :
( ( ( ~ ( fresh_name_pi_Rep @ SV325 @ SV228 ) )
= $true )
| ( ( ( perm_name_pi_Rep @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV114 @ SV325 ) @ nil_Pr743626285e_name ) @ SV228 )
= SV228 )
= $true )
| ( ( fresh_name_pi_Rep @ SV114 @ SV228 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1295]) ).
thf(1395,plain,
! [SV116: produc367475239e_name] :
( ( SV116
!= ( produc1570949143e_name @ ( sK2_SY733 @ SV116 ) @ ( sK19_SY1038 @ SV116 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[1297]) ).
thf(1396,plain,
! [SV230: list_P227219501e_name,SV117: list_P227219501e_name > $o] :
( ( ( ! [SY736: produc367475239e_name] : ( SV117 @ ( cons_P1213805021e_name @ SY736 @ nil_Pr743626285e_name ) ) )
= $false )
| ( ( ~ ! [SY737: produc367475239e_name,SY738: produc367475239e_name,SY739: list_P227219501e_name] :
( ~ ( SV117 @ SY739 )
| ~ ( SV117 @ ( cons_P1213805021e_name @ SY738 @ SY739 ) )
| ( SV117 @ ( cons_P1213805021e_name @ SY737 @ ( cons_P1213805021e_name @ SY738 @ SY739 ) ) ) )
| ( SV117 @ SV230 ) )
= $true )
| ( ( SV117 @ nil_Pr743626285e_name )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1298]) ).
thf(1397,plain,
! [SV118: produc890461031e_name] :
( ( ( ! [SY741: produc367475239e_name,SY742: list_P227219501e_name,SY743: list_P227219501e_name] :
( SV118
!= ( produc208131031e_name @ ( cons_P1213805021e_name @ SY741 @ SY742 ) @ SY743 ) ) )
= $false )
| ( ( SV118
= ( produc208131031e_name @ nil_Pr743626285e_name @ ( sK8_SY740 @ SV118 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1299]) ).
thf(1398,plain,
! [SV364: name,SV327: name,SV231: name,SV119: name] :
( ( ( ~ ( ( ( produc1570949143e_name @ SV119 @ SV231 )
= ( produc1570949143e_name @ SV327 @ SV364 ) )
| ~ ( ( SV119 != SV327 )
| ( SV231 != SV364 ) ) ) )
= $true )
| ( ( ~ ( ( ( produc1570949143e_name @ SV119 @ SV231 )
!= ( produc1570949143e_name @ SV327 @ SV364 ) )
| ~ ~ ( ( SV119 != SV327 )
| ( SV231 != SV364 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1300]) ).
thf(1399,plain,
! [SV120: name,SV232: late_subject,SV328: name] :
( ( ( ~ ( fresh_717452603ubject @ SV328 @ SV232 ) )
= $true )
| ( ( ( perm_n1559866809ubject @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV120 @ SV328 ) @ nil_Pr743626285e_name ) @ SV232 )
= SV232 )
= $true )
| ( ( fresh_717452603ubject @ SV120 @ SV232 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1302]) ).
thf(1400,plain,
! [SV378: list_P227219501e_name,SV374: set_Pr1834926343_pi_pi,SV365: name,SV329: late_subject,SV233: pi,SV121: pi] :
( ( ~ ( strong2129052853vative @ SV121 @ SV233 @ SV329 @ SV365 @ SV374 )
| ~ ( eqvt_pi @ SV374 )
| ( strong2129052853vative @ ( perm_name_pi @ SV378 @ SV121 ) @ ( perm_name_pi @ SV378 @ SV233 ) @ ( perm_n1559866809ubject @ SV378 @ SV329 ) @ ( perm_name_name @ SV378 @ SV365 ) @ SV374 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1303]) ).
thf(1401,plain,
! [SV234: produc367475239e_name,SV122: produc367475239e_name > $o] :
( ( ( SV122 @ ( produc1570949143e_name @ ( sK11_SY755 @ SV234 @ SV122 ) @ ( sK20_SY1067 @ SV234 @ SV122 ) ) )
= $false )
| ( ( SV122 @ SV234 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1304]) ).
thf(1402,plain,
! [SV235: list_P227219501e_name,SV123: list_P227219501e_name > $o] :
( ( ( ! [SY758: produc367475239e_name] : ( SV123 @ ( cons_P1213805021e_name @ SY758 @ nil_Pr743626285e_name ) ) )
= $false )
| ( ( ~ ! [SY759: produc367475239e_name,SY760: produc367475239e_name,SY761: list_P227219501e_name] :
( ~ ( ( SY759 != SY760 )
| ( SV123 @ ( cons_P1213805021e_name @ SY759 @ SY761 ) ) )
| ~ ( ~ ( ( SY759 != SY760 ) )
| ( SV123 @ ( cons_P1213805021e_name @ SY760 @ SY761 ) ) )
| ( SV123 @ ( cons_P1213805021e_name @ SY759 @ ( cons_P1213805021e_name @ SY760 @ SY761 ) ) ) )
| ( SV123 @ SV235 ) )
= $true )
| ( ( SV123 @ nil_Pr743626285e_name )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1305]) ).
thf(1403,plain,
! [SV124: name,SV236: pi_Rep,SV330: name] :
( ( ( ~ ( fresh_name_pi_Rep @ SV330 @ SV236 ) )
= $true )
| ( ( ( perm_name_pi_Rep @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV124 @ SV330 ) @ nil_Pr743626285e_name ) @ SV236 )
= SV236 )
= $true )
| ( ( fresh_name_pi_Rep @ SV124 @ SV236 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1306]) ).
thf(1404,plain,
! [SV126: name,SV238: name,SV331: name] :
( ( ( ~ ( fresh_name_name @ SV331 @ SV238 ) )
= $true )
| ( ( ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV126 @ SV331 ) @ nil_Pr743626285e_name ) @ SV238 )
= SV238 )
= $true )
| ( ( fresh_name_name @ SV126 @ SV238 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1307]) ).
thf(1405,plain,
! [SV366: list_P227219501e_name,SV333: produc367475239e_name,SV240: list_P227219501e_name,SV128: produc367475239e_name] :
( ( ( ~ ( ( ( cons_P1213805021e_name @ SV128 @ SV240 )
= ( cons_P1213805021e_name @ SV333 @ SV366 ) )
| ~ ( ( SV128 != SV333 )
| ( SV240 != SV366 ) ) ) )
= $true )
| ( ( ~ ( ( ( cons_P1213805021e_name @ SV128 @ SV240 )
!= ( cons_P1213805021e_name @ SV333 @ SV366 ) )
| ~ ~ ( ( SV128 != SV333 )
| ( SV240 != SV366 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1309]) ).
thf(1406,plain,
! [SV367: name,SV334: name,SV241: list_P227219501e_name,SV129: set_Pr443758855e_name] :
( ( ( eqvt_name @ SV129 )
= $false )
| ( ( ~ ( member695284560e_name @ ( produc1570949143e_name @ ( perm_name_name @ SV241 @ SV334 ) @ ( perm_name_name @ SV241 @ SV367 ) ) @ SV129 )
| ( member695284560e_name @ ( produc1570949143e_name @ SV334 @ SV367 ) @ SV129 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1311]) ).
thf(1407,plain,
! [SV130: name,SV242: pi,SV335: name] :
( ( ( ~ ( fresh_name_pi @ SV335 @ SV242 ) )
= $true )
| ( ( ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV130 @ SV335 ) @ nil_Pr743626285e_name ) @ SV242 )
= SV242 )
= $true )
| ( ( fresh_name_pi @ SV130 @ SV242 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1312]) ).
thf(1408,plain,
! [SV368: name,SV336: late_subject,SV243: pi,SV131: set_Pr1834926343_pi_pi] :
( ( ( ord_le630093991_pi_pi @ id_pi @ SV131 )
= $false )
| ( ( strong2129052853vative @ SV243 @ SV243 @ SV336 @ SV368 @ SV131 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1313]) ).
thf(1409,plain,
! [SV369: name,SV337: produc1141751126_pi_pi,SV244: name,SV132: name] :
( ( ( SV132 != SV244 )
= $false )
| ( ( ~ ( fresh_1376661020_pi_pi @ SV244 @ SV337 )
| ~ ( fresh_1376661020_pi_pi @ SV132 @ SV337 )
| ( fresh_1376661020_pi_pi @ SV132 @ ( perm_n1255502110_pi_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV244 @ SV369 ) @ nil_Pr743626285e_name ) @ SV337 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1314]) ).
thf(1410,plain,
! [SV133: name,SV245: late_subject,SV338: name] :
( ( ( ~ ( fresh_717452603ubject @ SV338 @ SV245 ) )
= $true )
| ( ( ( perm_n1559866809ubject @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV133 @ SV338 ) @ nil_Pr743626285e_name ) @ SV245 )
= SV245 )
= $true )
| ( ( fresh_717452603ubject @ SV133 @ SV245 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1315]) ).
thf(1411,plain,
! [SV246: produc367475239e_name,SV134: produc367475239e_name > $o] :
( ( ( SV134 @ ( produc1570949143e_name @ ( sK12_SY786 @ SV246 @ SV134 ) @ ( sK21_SY1068 @ SV246 @ SV134 ) ) )
= $false )
| ( ( SV134 @ SV246 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1316]) ).
thf(1412,plain,
! [SV160: name,SV31: name] :
( ( ( ( ( late_BoundOutputS @ SV31 )
!= ( late_BoundOutputS @ SV160 ) )
| ( SV31 != SV160 ) )
= $false )
| ( ( ( late_BoundOutputS @ SV31 )
= ( late_BoundOutputS @ SV160 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1317]) ).
thf(1413,plain,
! [SV160: name,SV31: name] :
( ( ( ( ( late_BoundOutputS @ SV31 )
!= ( late_BoundOutputS @ SV160 ) )
| ( SV31 != SV160 ) )
= $false )
| ( ( SV31 = SV160 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1318]) ).
thf(1414,plain,
! [SV161: name,SV32: name] :
( ( ( ( ( late_BoundOutputS @ SV32 )
!= ( late_BoundOutputS @ SV161 ) )
| ( SV32 != SV161 ) )
= $false )
| ( ( ( late_BoundOutputS @ SV32 )
= ( late_BoundOutputS @ SV161 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1319]) ).
thf(1415,plain,
! [SV161: name,SV32: name] :
( ( ( ( ( late_BoundOutputS @ SV32 )
!= ( late_BoundOutputS @ SV161 ) )
| ( SV32 != SV161 ) )
= $false )
| ( ( SV32 = SV161 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1320]) ).
thf(1416,plain,
! [SV267: pi,SV163: name,SV38: list_P227219501e_name] :
( ( ( perm_name_o @ SV38 @ ( fresh_name_pi @ SV163 @ SV267 ) )
= $false )
| ( ( ~ ( ~ ( perm_name_o @ SV38 @ ( fresh_name_pi @ SV163 @ SV267 ) )
| ~ ( fresh_name_pi @ ( perm_name_name @ SV38 @ SV163 ) @ ( perm_name_pi @ SV38 @ SV267 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1321]) ).
thf(1417,plain,
! [SV267: pi,SV163: name,SV38: list_P227219501e_name] :
( ( ( fresh_name_pi @ ( perm_name_name @ SV38 @ SV163 ) @ ( perm_name_pi @ SV38 @ SV267 ) )
= $false )
| ( ( ~ ( ~ ( perm_name_o @ SV38 @ ( fresh_name_pi @ SV163 @ SV267 ) )
| ~ ( fresh_name_pi @ ( perm_name_name @ SV38 @ SV163 ) @ ( perm_name_pi @ SV38 @ SV267 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1321]) ).
thf(1418,plain,
! [SV268: pi,SV164: name,SV39: list_P227219501e_name] :
( ( ( fresh_name_pi @ ( perm_name_name @ SV39 @ SV164 ) @ ( perm_name_pi @ SV39 @ SV268 ) )
= $false )
| ( ( ~ ( ~ ( fresh_name_pi @ ( perm_name_name @ SV39 @ SV164 ) @ ( perm_name_pi @ SV39 @ SV268 ) )
| ~ ( fresh_name_pi @ SV164 @ SV268 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1322]) ).
thf(1419,plain,
! [SV39: list_P227219501e_name,SV268: pi,SV164: name] :
( ( ( fresh_name_pi @ SV164 @ SV268 )
= $false )
| ( ( ~ ( ~ ( fresh_name_pi @ ( perm_name_name @ SV39 @ SV164 ) @ ( perm_name_pi @ SV39 @ SV268 ) )
| ~ ( fresh_name_pi @ SV164 @ SV268 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1322]) ).
thf(1420,plain,
! [SV272: pi,SV170: pi,SV46: list_P227219501e_name] :
( ( ( ( perm_name_pi @ SV46 @ SV170 )
= ( perm_name_pi @ SV46 @ SV272 ) )
= $false )
| ( ( ~ ( ( ( perm_name_pi @ SV46 @ SV170 )
!= ( perm_name_pi @ SV46 @ SV272 ) )
| ( SV170 != SV272 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1323]) ).
thf(1421,plain,
! [SV46: list_P227219501e_name,SV272: pi,SV170: pi] :
( ( ( SV170 = SV272 )
= $false )
| ( ( ~ ( ( ( perm_name_pi @ SV46 @ SV170 )
!= ( perm_name_pi @ SV46 @ SV272 ) )
| ( SV170 != SV272 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1323]) ).
thf(1422,plain,
! [SV275: set_pi,SV173: pi,SV49: list_P227219501e_name] :
( ( ( perm_name_o @ SV49 @ ( member_pi @ SV173 @ SV275 ) )
= $false )
| ( ( ~ ( ~ ( perm_name_o @ SV49 @ ( member_pi @ SV173 @ SV275 ) )
| ~ ( member_pi @ ( perm_name_pi @ SV49 @ SV173 ) @ ( perm_name_set_pi @ SV49 @ SV275 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1324]) ).
thf(1423,plain,
! [SV275: set_pi,SV173: pi,SV49: list_P227219501e_name] :
( ( ( member_pi @ ( perm_name_pi @ SV49 @ SV173 ) @ ( perm_name_set_pi @ SV49 @ SV275 ) )
= $false )
| ( ( ~ ( ~ ( perm_name_o @ SV49 @ ( member_pi @ SV173 @ SV275 ) )
| ~ ( member_pi @ ( perm_name_pi @ SV49 @ SV173 ) @ ( perm_name_set_pi @ SV49 @ SV275 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1324]) ).
thf(1424,plain,
! [SV276: pi,SV174: pi,SV50: list_P227219501e_name] :
( ( ( perm_name_o @ SV50 @ ( SV174 = SV276 ) )
= $false )
| ( ( ~ ( ~ ( perm_name_o @ SV50 @ ( SV174 = SV276 ) )
| ( ( perm_name_pi @ SV50 @ SV174 )
!= ( perm_name_pi @ SV50 @ SV276 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1325]) ).
thf(1425,plain,
! [SV276: pi,SV174: pi,SV50: list_P227219501e_name] :
( ( ( ( perm_name_pi @ SV50 @ SV174 )
= ( perm_name_pi @ SV50 @ SV276 ) )
= $false )
| ( ( ~ ( ~ ( perm_name_o @ SV50 @ ( SV174 = SV276 ) )
| ( ( perm_name_pi @ SV50 @ SV174 )
!= ( perm_name_pi @ SV50 @ SV276 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1325]) ).
thf(1426,plain,
! [SV175: name,SV51: name] :
( ( ( ~ ( member695284560e_name @ ( produc1570949143e_name @ SV51 @ SV175 ) @ id_name )
| ( SV51 != SV175 ) )
= $false )
| ( ( member695284560e_name @ ( produc1570949143e_name @ SV51 @ SV175 ) @ id_name )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1326]) ).
thf(1427,plain,
! [SV175: name,SV51: name] :
( ( ( ~ ( member695284560e_name @ ( produc1570949143e_name @ SV51 @ SV175 ) @ id_name )
| ( SV51 != SV175 ) )
= $false )
| ( ( SV51 = SV175 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1327]) ).
thf(1428,plain,
! [SV176: name,SV53: name] :
( ( ( ~ ( fresh_717452603ubject @ SV53 @ ( late_BoundOutputS @ SV176 ) )
| ~ ( fresh_name_name @ SV53 @ SV176 ) )
= $false )
| ( ( fresh_717452603ubject @ SV53 @ ( late_BoundOutputS @ SV176 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1328]) ).
thf(1429,plain,
! [SV176: name,SV53: name] :
( ( ( ~ ( fresh_717452603ubject @ SV53 @ ( late_BoundOutputS @ SV176 ) )
| ~ ( fresh_name_name @ SV53 @ SV176 ) )
= $false )
| ( ( fresh_name_name @ SV53 @ SV176 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1329]) ).
thf(1430,plain,
! [SV375: pi,SV370: name,SV340: name,SV284: pi,SV184: name,SV61: name] :
( ( late_transitions @ ( input @ SV61 @ SV184 @ SV284 ) @ ( late_BoundR @ ( late_BoundOutputS @ SV340 ) @ SV370 @ SV375 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1330]) ).
thf(1431,plain,
! [SV63: $o] :
( ( ( ~ SV63
| ~ $true )
= $false )
| ( SV63 = $false )
| ( ( SV63 = $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1331]) ).
thf(1432,plain,
! [SV63: $o] :
( ( ( ~ SV63
| ~ $true )
= $false )
| ( $true = $false )
| ( ( SV63 = $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1332]) ).
thf(1433,plain,
! [SV63: $o] :
( ( SV63 = $false )
| ( ( ~ ( ~ SV63
| ~ $false ) )
= $true )
| ( ( SV63 = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1333]) ).
thf(1434,plain,
! [SV63: $o] :
( ( $false = $false )
| ( ( ~ ( ~ SV63
| ~ $false ) )
= $true )
| ( ( SV63 = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1333]) ).
thf(1435,plain,
( ( ( ~ $true
| ~ $true )
= $false )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1334]) ).
thf(1436,plain,
( ( ( ~ $true
| ~ $true )
= $false )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1335]) ).
thf(1437,plain,
( ( $true = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1336]) ).
thf(1438,plain,
( ( $false = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1336]) ).
thf(1439,plain,
( ( ( ~ $false
| ~ $true )
= $false )
| ( $false = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1337]) ).
thf(1440,plain,
( ( ( ~ $false
| ~ $true )
= $false )
| ( $true = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1338]) ).
thf(1441,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1339]) ).
thf(1442,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1339]) ).
thf(1443,plain,
! [SV286: list_P227219501e_name,SV186: list_P227219501e_name,SV64: list_P227219501e_name > list_P227219501e_name > $o] :
( ( ( ~ ! [SY559: produc367475239e_name,SY560: list_P227219501e_name,SY561: list_P227219501e_name] :
( ~ ( SV64 @ SY561 @ SY560 )
| ( SV64 @ ( cons_P1213805021e_name @ SY559 @ SY560 ) @ SY561 ) ) )
= $true )
| ( ( SV64 @ SV186 @ SV286 )
= $true )
| ( ( SV64 @ nil_Pr743626285e_name @ ( sK13_SY558 @ SV286 @ SV186 @ SV64 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1340]) ).
thf(1444,plain,
! [SV287: list_P227219501e_name,SV187: list_P227219501e_name,SV65: list_P227219501e_name > list_P227219501e_name > $o] :
( ( ( ! [SY564: produc367475239e_name,SY565: list_P227219501e_name] : ( SV65 @ ( cons_P1213805021e_name @ SY564 @ SY565 ) @ nil_Pr743626285e_name ) )
= $false )
| ( ( ~ ! [SY566: produc367475239e_name,SY567: list_P227219501e_name] : ( SV65 @ nil_Pr743626285e_name @ ( cons_P1213805021e_name @ SY566 @ SY567 ) )
| ~ ! [SY568: produc367475239e_name,SY569: list_P227219501e_name,SY570: produc367475239e_name,SY571: list_P227219501e_name] :
( ~ ( SV65 @ SY569 @ SY571 )
| ( SV65 @ ( cons_P1213805021e_name @ SY568 @ SY569 ) @ ( cons_P1213805021e_name @ SY570 @ SY571 ) ) )
| ( SV65 @ SV187 @ SV287 ) )
= $true )
| ( ( SV65 @ nil_Pr743626285e_name @ nil_Pr743626285e_name )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1341]) ).
thf(1445,plain,
! [SV371: list_P227219501e_name,SV342: set_Pr1834926343_pi_pi,SV289: pi,SV189: set_Pr1834926343_pi_pi,SV67: pi] :
( ( ( strong743114133lation @ SV67 @ SV189 @ SV289 )
= $false )
| ( ( ~ ( ord_le630093991_pi_pi @ SV189 @ SV342 )
| ~ ( eqvt_pi @ SV342 )
| ( strong743114133lation @ ( perm_name_pi @ SV371 @ SV67 ) @ SV342 @ ( perm_name_pi @ SV371 @ SV289 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1342]) ).
thf(1446,plain,
! [SV190: list_P227219501e_name,SV290: pi,SV68: name] :
( ( ( fresh_name_pi @ SV68 @ SV290 )
= $false )
| ( ( fresh_name_pi @ SV68 @ ( perm_name_pi @ SV190 @ SV290 ) )
= $true )
| ( ( fresh_922791155e_name @ SV68 @ SV190 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1343]) ).
thf(1447,plain,
! [SV69: list_P227219501e_name] :
( ( ( SV69
!= ( cons_P1213805021e_name @ ( sK22_SY580 @ SV69 ) @ nil_Pr743626285e_name ) )
= $false )
| ( ( ~ ! [SY581: produc367475239e_name,SY582: produc367475239e_name,SY583: list_P227219501e_name] :
( SV69
!= ( cons_P1213805021e_name @ SY581 @ ( cons_P1213805021e_name @ SY582 @ SY583 ) ) ) )
= $true )
| ( ( SV69 = nil_Pr743626285e_name )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1344]) ).
thf(1448,plain,
! [SV291: list_P227219501e_name,SV191: produc367475239e_name > produc367475239e_name > $o,SV70: ( produc367475239e_name > produc367475239e_name > $o ) > list_P227219501e_name > $o] :
( ( ( ~ ! [SY587: produc367475239e_name > produc367475239e_name > $o,SY588: produc367475239e_name,SY589: list_P227219501e_name] :
( ~ ( SV70 @ SY587 @ SY589 )
| ( SV70 @ SY587 @ ( cons_P1213805021e_name @ SY588 @ SY589 ) ) ) )
= $true )
| ( ( SV70 @ SV191 @ SV291 )
= $true )
| ( ( SV70 @ ( sK14_SY586 @ SV291 @ SV191 @ SV70 ) @ nil_Pr743626285e_name )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1345]) ).
thf(1449,plain,
! [SV192: produc367475239e_name > produc367475239e_name,SV292: list_P227219501e_name,SV343: list_P227219501e_name,SV71: ( produc367475239e_name > produc367475239e_name ) > list_P227219501e_name > list_P227219501e_name > $o] :
( ( ( ! [SY1070: list_P227219501e_name] : ( SV71 @ ( sK23_SY593 @ SV343 @ SV292 @ SV192 @ SV71 ) @ nil_Pr743626285e_name @ SY1070 ) )
= $false )
| ( ( ~ ! [SY595: produc367475239e_name > produc367475239e_name,SY596: produc367475239e_name,SY597: list_P227219501e_name,SY598: list_P227219501e_name] :
( ~ ( SV71 @ SY595 @ SY597 @ ( cons_P1213805021e_name @ ( SY595 @ SY596 ) @ SY598 ) )
| ( SV71 @ SY595 @ ( cons_P1213805021e_name @ SY596 @ SY597 ) @ SY598 ) )
| ( SV71 @ SV192 @ SV292 @ SV343 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1346]) ).
thf(1450,plain,
! [SV72: list_l1406151091e_name] :
( ( ( SV72
!= ( cons_l798145763e_name @ nil_Pr743626285e_name @ ( sK24_SY599 @ SV72 ) ) )
= $false )
| ( ( ~ ! [SY600: produc367475239e_name,SY601: list_P227219501e_name,SY602: list_l1406151091e_name] :
( SV72
!= ( cons_l798145763e_name @ ( cons_P1213805021e_name @ SY600 @ SY601 ) @ SY602 ) ) )
= $true )
| ( ( SV72 = nil_li29751603e_name )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1347]) ).
thf(1451,plain,
! [SV344: pi,SV293: pi,SV193: list_P227219501e_name,SV74: $o] :
( ( ~ SV74
| ( ( perm_name_pi @ SV193 @ ( if_pi @ SV74 @ SV293 @ SV344 ) )
= ( perm_name_pi @ SV193 @ SV293 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1348]) ).
thf(1452,plain,
! [SV344: pi,SV293: pi,SV193: list_P227219501e_name,SV74: $o] :
( ( ~ ~ SV74
| ( ( perm_name_pi @ SV193 @ ( if_pi @ SV74 @ SV293 @ SV344 ) )
= ( perm_name_pi @ SV193 @ SV344 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1349]) ).
thf(1453,plain,
! [SV345: pi,SV294: pi,SV194: list_P227219501e_name] :
( ( ~ $true
| ( ( perm_name_pi @ SV194 @ ( if_pi @ $true @ SV294 @ SV345 ) )
= ( perm_name_pi @ SV194 @ SV294 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1350]) ).
thf(1454,plain,
! [SV345: pi,SV294: pi,SV194: list_P227219501e_name] :
( ( ~ ~ $true
| ( ( perm_name_pi @ SV194 @ ( if_pi @ $true @ SV294 @ SV345 ) )
= ( perm_name_pi @ SV194 @ SV345 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1351]) ).
thf(1455,plain,
! [SV346: pi,SV295: pi,SV195: list_P227219501e_name] :
( ( ~ $false
| ( ( perm_name_pi @ SV195 @ ( if_pi @ $false @ SV295 @ SV346 ) )
= ( perm_name_pi @ SV195 @ SV295 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1352]) ).
thf(1456,plain,
! [SV346: pi,SV295: pi,SV195: list_P227219501e_name] :
( ( ~ ~ $false
| ( ( perm_name_pi @ SV195 @ ( if_pi @ $false @ SV295 @ SV346 ) )
= ( perm_name_pi @ SV195 @ SV346 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1353]) ).
thf(1457,plain,
! [SV347: name,SV297: name,SV197: name,SV76: name] :
( ( ( ( ( produc1570949143e_name @ SV76 @ SV197 )
= ( produc1570949143e_name @ SV297 @ SV347 ) )
| ~ ( ( SV76 != SV297 )
| ( SV197 != SV347 ) ) )
= $false )
| ( ( ~ ( ( ( produc1570949143e_name @ SV76 @ SV197 )
!= ( produc1570949143e_name @ SV297 @ SV347 ) )
| ~ ~ ( ( SV76 != SV297 )
| ( SV197 != SV347 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1354]) ).
thf(1458,plain,
! [SV348: name,SV198: name,SV298: name,SV77: name] :
( ( ( ( SV77 != SV298 )
| ( SV198 != SV348 ) )
= $false )
| ( ( ( produc1570949143e_name @ SV77 @ SV198 )
= ( produc1570949143e_name @ SV298 @ SV348 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1355]) ).
thf(1459,plain,
! [SV349: list_P227219501e_name,SV78: set_Pr1834926343_pi_pi,SV299: pi,SV199: pi] :
( ( ( ~ ( member558706512_pi_pi @ ( product_Pair_pi_pi @ SV199 @ SV299 ) @ SV78 ) )
= $true )
| ( ( member558706512_pi_pi @ ( product_Pair_pi_pi @ ( perm_name_pi @ SV349 @ SV199 ) @ ( perm_name_pi @ SV349 @ SV299 ) ) @ SV78 )
= $true )
| ( ( eqvt_pi @ SV78 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1356]) ).
thf(1460,plain,
! [SV79: produc890461031e_name] :
( ( ( ! [SY620: list_P227219501e_name] :
( SV79
!= ( produc208131031e_name @ SY620 @ nil_Pr743626285e_name ) ) )
= $false )
| ( ( ~ ! [SY621: produc367475239e_name,SY622: list_P227219501e_name,SY623: produc367475239e_name,SY624: list_P227219501e_name] :
( SV79
!= ( produc208131031e_name @ ( cons_P1213805021e_name @ SY621 @ SY622 ) @ ( cons_P1213805021e_name @ SY623 @ SY624 ) ) ) )
= $true )
| ( ( SV79
= ( produc208131031e_name @ nil_Pr743626285e_name @ ( sK4_SY619 @ SV79 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1357]) ).
thf(1461,plain,
! [SV80: set_Pr443758855e_name,SV200: set_Pr443758855e_name] :
( ( ( ~ ( member695284560e_name @ ( produc1570949143e_name @ ( sK9_SY877 @ SV200 @ SV80 ) @ ( sK15_SY1063 @ SV80 @ SV200 ) ) @ SV80 ) )
= $false )
| ( ( ord_le793202855e_name @ SV80 @ SV200 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1358]) ).
thf(1462,plain,
! [SV80: set_Pr443758855e_name,SV200: set_Pr443758855e_name] :
( ( ( member695284560e_name @ ( produc1570949143e_name @ ( sK9_SY877 @ SV200 @ SV80 ) @ ( sK15_SY1063 @ SV80 @ SV200 ) ) @ SV200 )
= $false )
| ( ( ord_le793202855e_name @ SV80 @ SV200 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1358]) ).
thf(1463,plain,
! [SV350: name,SV300: late_subject,SV201: name,SV81: name] :
( ( ( SV81 = SV201 )
= $true )
| ( ( ~ ( fresh_717452603ubject @ SV201 @ SV300 )
| ~ ( fresh_717452603ubject @ SV81 @ SV300 )
| ( fresh_717452603ubject @ SV81 @ ( perm_n1559866809ubject @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV201 @ SV350 ) @ nil_Pr743626285e_name ) @ SV300 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1359]) ).
thf(1464,plain,
! [SV351: name,SV301: pi,SV203: name,SV83: name] :
( ( ( SV83 = SV203 )
= $true )
| ( ( ~ ( fresh_name_pi @ SV203 @ SV301 )
| ~ ( fresh_name_pi @ SV83 @ SV301 )
| ( fresh_name_pi @ SV83 @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV203 @ SV351 ) @ nil_Pr743626285e_name ) @ SV301 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1360]) ).
thf(1465,plain,
! [SV84: name,SV204: pi,SV302: name] :
( ( ( fresh_name_pi @ SV302 @ SV204 )
= $false )
| ( ( ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV84 @ SV302 ) @ nil_Pr743626285e_name ) @ SV204 )
= SV204 )
= $true )
| ( ( fresh_name_pi @ SV84 @ SV204 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1361]) ).
thf(1466,plain,
! [SV85: list_P227219501e_name] :
( ( ( SV85
!= ( cons_P1213805021e_name @ ( sK16_SY637 @ SV85 ) @ ( sK25_SY1069 @ SV85 ) ) )
= $false )
| ( ( SV85 = nil_Pr743626285e_name )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1362]) ).
thf(1467,plain,
! [SV87: name,SV205: name,SV303: name] :
( ( ( ~ ( ( SV303 != SV205 ) ) )
= $true )
| ( ( ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV87 @ SV303 ) @ nil_Pr743626285e_name ) @ SV205 )
= SV205 )
= $true )
| ( ( SV87 = SV205 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1363]) ).
thf(1468,plain,
! [SV376: set_Pr1834926343_pi_pi,SV372: set_Pr1834926343_pi_pi,SV352: name,SV304: late_subject,SV206: pi,SV88: pi] :
( ( ( ~ ( strong2129052853vative @ SV88 @ SV206 @ SV304 @ SV352 @ SV372 ) )
= $true )
| ( ( ~ ( ord_le630093991_pi_pi @ SV372 @ SV376 )
| ( strong2129052853vative @ SV88 @ SV206 @ SV304 @ SV352 @ SV376 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1364]) ).
thf(1469,plain,
! [SV305: list_P227219501e_name,SV207: produc367475239e_name > produc367475239e_name > $o,SV89: ( produc367475239e_name > produc367475239e_name > $o ) > list_P227219501e_name > $o] :
( ( ( ~ ! [SY650: produc367475239e_name > produc367475239e_name > $o,SY651: produc367475239e_name] : ( SV89 @ SY650 @ ( cons_P1213805021e_name @ SY651 @ nil_Pr743626285e_name ) ) )
= $true )
| ( ( ~ ! [SY652: produc367475239e_name > produc367475239e_name > $o,SY653: produc367475239e_name,SY654: produc367475239e_name,SY655: list_P227219501e_name] :
( ~ ( SV89 @ SY652 @ ( cons_P1213805021e_name @ SY654 @ SY655 ) )
| ( SV89 @ SY652 @ ( cons_P1213805021e_name @ SY653 @ ( cons_P1213805021e_name @ SY654 @ SY655 ) ) ) )
| ( SV89 @ SV207 @ SV305 ) )
= $true )
| ( ( SV89 @ ( sK17_SY649 @ SV305 @ SV207 @ SV89 ) @ nil_Pr743626285e_name )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1365]) ).
thf(1470,plain,
! [SV377: list_P227219501e_name,SV373: set_Pr1834926343_pi_pi,SV353: name,SV306: late_subject,SV208: pi,SV90: pi] :
( ( ( ~ ( strong2129052853vative @ SV90 @ SV208 @ SV306 @ SV353 @ SV373 ) )
= $true )
| ( ( ~ ( eqvt_pi @ SV373 )
| ( strong2129052853vative @ ( perm_name_pi @ SV377 @ SV90 ) @ ( perm_name_pi @ SV377 @ SV208 ) @ SV306 @ ( perm_name_name @ SV377 @ SV353 ) @ SV373 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1366]) ).
thf(1471,plain,
! [SV91: list_P227219501e_name,SV209: list_P227219501e_name > $o] :
( ( ( ! [SY901: produc367475239e_name] : ( SV209 @ ( cons_P1213805021e_name @ SY901 @ nil_Pr743626285e_name ) ) )
= $false )
| ( ( ~ ! [SY902: produc367475239e_name,SY903: list_P227219501e_name] :
( ~ ( ( SY903 != nil_Pr743626285e_name ) )
| ~ ( SV209 @ SY903 )
| ( SV209 @ ( cons_P1213805021e_name @ SY902 @ SY903 ) ) )
| ( SV209 @ SV91 ) )
= $true )
| ( ( SV91 = nil_Pr743626285e_name )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1367]) ).
thf(1472,plain,
! [SV92: set_Pr1834926343_pi_pi,SV354: pi,SV307: pi,SV210: list_P227219501e_name] :
( ( ( ~ ( member558706512_pi_pi @ ( product_Pair_pi_pi @ ( perm_name_pi @ SV210 @ SV307 ) @ ( perm_name_pi @ SV210 @ SV354 ) ) @ SV92 ) )
= $true )
| ( ( member558706512_pi_pi @ ( product_Pair_pi_pi @ SV307 @ SV354 ) @ SV92 )
= $true )
| ( ( eqvt_pi @ SV92 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1368]) ).
thf(1473,plain,
! [SV93: name,SV211: produc1141751126_pi_pi,SV308: name] :
( ( ( fresh_1376661020_pi_pi @ SV308 @ SV211 )
= $false )
| ( ( ( perm_n1255502110_pi_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV93 @ SV308 ) @ nil_Pr743626285e_name ) @ SV211 )
= SV211 )
= $true )
| ( ( fresh_1376661020_pi_pi @ SV93 @ SV211 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1369]) ).
thf(1474,plain,
! [SV355: name,SV309: name,SV212: name,SV94: name] :
( ( ( SV94 = SV212 )
= $true )
| ( ( ~ ( fresh_name_name @ SV212 @ SV309 )
| ~ ( fresh_name_name @ SV94 @ SV309 )
| ( fresh_name_name @ SV94 @ ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV212 @ SV355 ) @ nil_Pr743626285e_name ) @ SV309 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1370]) ).
thf(1475,plain,
! [SV356: name,SV310: late_freeRes,SV213: name,SV95: name] :
( ( ( SV95 = SV213 )
= $true )
| ( ( ~ ( fresh_1641682979reeRes @ SV213 @ SV310 )
| ~ ( fresh_1641682979reeRes @ SV95 @ SV310 )
| ( fresh_1641682979reeRes @ SV95 @ ( perm_n336613537reeRes @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV213 @ SV356 ) @ nil_Pr743626285e_name ) @ SV310 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1371]) ).
thf(1476,plain,
! [SV96: produc1872410278e_name] :
( ( ( ! [SY677: produc367475239e_name > produc367475239e_name > $o,SY678: produc367475239e_name] :
( SV96
!= ( produc1069608854e_name @ SY677 @ ( cons_P1213805021e_name @ SY678 @ nil_Pr743626285e_name ) ) ) )
= $false )
| ( ( ~ ! [SY679: produc367475239e_name > produc367475239e_name > $o,SY680: produc367475239e_name,SY681: produc367475239e_name,SY682: list_P227219501e_name] :
( SV96
!= ( produc1069608854e_name @ SY679 @ ( cons_P1213805021e_name @ SY680 @ ( cons_P1213805021e_name @ SY681 @ SY682 ) ) ) ) )
= $true )
| ( ( SV96
= ( produc1069608854e_name @ ( sK6_SY676 @ SV96 ) @ nil_Pr743626285e_name ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1372]) ).
thf(1477,plain,
! [SV311: list_P227219501e_name,SV214: list_P227219501e_name,SV97: list_P227219501e_name > list_P227219501e_name > $o] :
( ( ( ~ ! [SY686: list_P227219501e_name] : ( SV97 @ SY686 @ nil_Pr743626285e_name ) )
= $true )
| ( ( ~ ! [SY687: produc367475239e_name,SY688: list_P227219501e_name,SY689: produc367475239e_name,SY690: list_P227219501e_name] :
( ~ ( SV97 @ SY688 @ ( cons_P1213805021e_name @ SY689 @ SY690 ) )
| ~ ( SV97 @ ( cons_P1213805021e_name @ SY687 @ SY688 ) @ SY690 )
| ( SV97 @ ( cons_P1213805021e_name @ SY687 @ SY688 ) @ ( cons_P1213805021e_name @ SY689 @ SY690 ) ) )
| ( SV97 @ SV214 @ SV311 ) )
= $true )
| ( ( SV97 @ nil_Pr743626285e_name @ ( sK18_SY685 @ SV311 @ SV214 @ SV97 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1373]) ).
thf(1478,plain,
! [SV357: name,SV312: pi_Rep,SV215: name,SV98: name] :
( ( ( SV98 = SV215 )
= $true )
| ( ( ~ ( fresh_name_pi_Rep @ SV215 @ SV312 )
| ~ ( fresh_name_pi_Rep @ SV98 @ SV312 )
| ( fresh_name_pi_Rep @ SV98 @ ( perm_name_pi_Rep @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV215 @ SV357 ) @ nil_Pr743626285e_name ) @ SV312 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1374]) ).
thf(1479,plain,
! [SV99: name,SV216: late_freeRes,SV313: name] :
( ( ( fresh_1641682979reeRes @ SV313 @ SV216 )
= $false )
| ( ( ( perm_n336613537reeRes @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV99 @ SV313 ) @ nil_Pr743626285e_name ) @ SV216 )
= SV216 )
= $true )
| ( ( fresh_1641682979reeRes @ SV99 @ SV216 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1375]) ).
thf(1480,plain,
! [SV358: list_P227219501e_name,SV102: set_Pr443758855e_name,SV315: name,SV219: name] :
( ( ( ~ ( member695284560e_name @ ( produc1570949143e_name @ SV219 @ SV315 ) @ SV102 ) )
= $true )
| ( ( member695284560e_name @ ( produc1570949143e_name @ ( perm_name_name @ SV358 @ SV219 ) @ ( perm_name_name @ SV358 @ SV315 ) ) @ SV102 )
= $true )
| ( ( eqvt_name @ SV102 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1377]) ).
thf(1481,plain,
! [SV103: produc1872410278e_name] :
( ( ( ! [SY1071: produc367475239e_name,SY1072: list_P227219501e_name] :
( SV103
!= ( produc1069608854e_name @ ( sK26_SY703 @ SV103 ) @ ( cons_P1213805021e_name @ SY1071 @ SY1072 ) ) ) )
= $false )
| ( ( SV103
= ( produc1069608854e_name @ ( sK7_SY702 @ SV103 ) @ nil_Pr743626285e_name ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1378]) ).
thf(1482,plain,
! [SV220: list_P227219501e_name,SV104: list_P227219501e_name > $o] :
( ( ( ! [SY1073: list_P227219501e_name] :
( ~ ( SV104 @ SY1073 )
| ( SV104 @ ( cons_P1213805021e_name @ ( sK27_SY707 @ SV220 @ SV104 ) @ SY1073 ) ) ) )
= $false )
| ( ( SV104 @ SV220 )
= $true )
| ( ( SV104 @ nil_Pr743626285e_name )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1379]) ).
thf(1483,plain,
! [SV359: pi,SV316: pi,SV221: $o,SV105: list_P227219501e_name] :
( ( ~ ( perm_name_o @ SV105 @ SV221 )
| ( ( perm_name_pi @ SV105 @ ( if_pi @ SV221 @ SV316 @ SV359 ) )
= ( perm_name_pi @ SV105 @ SV316 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1380]) ).
thf(1484,plain,
! [SV359: pi,SV316: pi,SV221: $o,SV105: list_P227219501e_name] :
( ( ~ ~ ( perm_name_o @ SV105 @ SV221 )
| ( ( perm_name_pi @ SV105 @ ( if_pi @ SV221 @ SV316 @ SV359 ) )
= ( perm_name_pi @ SV105 @ SV359 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1381]) ).
thf(1485,plain,
! [SV360: pi,SV317: pi,SV105: list_P227219501e_name] :
( ( ~ ( perm_name_o @ SV105 @ $true )
| ( ( perm_name_pi @ SV105 @ ( if_pi @ $true @ SV317 @ SV360 ) )
= ( perm_name_pi @ SV105 @ SV317 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1382]) ).
thf(1486,plain,
! [SV360: pi,SV317: pi,SV105: list_P227219501e_name] :
( ( ~ ~ ( perm_name_o @ SV105 @ $true )
| ( ( perm_name_pi @ SV105 @ ( if_pi @ $true @ SV317 @ SV360 ) )
= ( perm_name_pi @ SV105 @ SV360 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1383]) ).
thf(1487,plain,
! [SV361: pi,SV318: pi,SV105: list_P227219501e_name] :
( ( ~ ( perm_name_o @ SV105 @ $false )
| ( ( perm_name_pi @ SV105 @ ( if_pi @ $false @ SV318 @ SV361 ) )
= ( perm_name_pi @ SV105 @ SV318 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1384]) ).
thf(1488,plain,
! [SV361: pi,SV318: pi,SV105: list_P227219501e_name] :
( ( ~ ~ ( perm_name_o @ SV105 @ $false )
| ( ( perm_name_pi @ SV105 @ ( if_pi @ $false @ SV318 @ SV361 ) )
= ( perm_name_pi @ SV105 @ SV361 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1385]) ).
thf(1489,plain,
! [SV106: name,SV222: produc1141751126_pi_pi,SV319: name] :
( ( ( fresh_1376661020_pi_pi @ SV319 @ SV222 )
= $false )
| ( ( ( perm_n1255502110_pi_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV106 @ SV319 ) @ nil_Pr743626285e_name ) @ SV222 )
= SV222 )
= $true )
| ( ( fresh_1376661020_pi_pi @ SV106 @ SV222 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1386]) ).
thf(1490,plain,
! [SV109: list_P227219501e_name] :
( ( ( ~ ( ( SV109 != nil_Pr743626285e_name ) )
| ~ ~ ! [SY717: produc367475239e_name] :
~ ~ ! [SY718: list_P227219501e_name] :
( SV109
!= ( cons_P1213805021e_name @ SY717 @ SY718 ) ) )
= $false )
| ( ( SV109 = nil_Pr743626285e_name )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1388]) ).
thf(1491,plain,
! [SV379: produc367475239e_name,SV109: list_P227219501e_name] :
( ( ( ~ ~ ! [SY1074: list_P227219501e_name] :
( SV109
!= ( cons_P1213805021e_name @ SV379 @ SY1074 ) ) )
= $true )
| ( ( ~ ( ~ ( ( SV109 != nil_Pr743626285e_name ) )
| ~ ~ ! [SY717: produc367475239e_name] :
~ ~ ! [SY718: list_P227219501e_name] :
( SV109
!= ( cons_P1213805021e_name @ SY717 @ SY718 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1389]) ).
thf(1492,plain,
! [SV110: name,SV224: late_freeRes,SV321: name] :
( ( ( fresh_1641682979reeRes @ SV321 @ SV224 )
= $false )
| ( ( ( perm_n336613537reeRes @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV110 @ SV321 ) @ nil_Pr743626285e_name ) @ SV224 )
= SV224 )
= $true )
| ( ( fresh_1641682979reeRes @ SV110 @ SV224 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1390]) ).
thf(1493,plain,
! [SV111: name,SV225: name,SV322: name] :
( ( ( fresh_name_name @ SV322 @ SV225 )
= $false )
| ( ( ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV111 @ SV322 ) @ nil_Pr743626285e_name ) @ SV225 )
= SV225 )
= $true )
| ( ( fresh_name_name @ SV111 @ SV225 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1391]) ).
thf(1494,plain,
! [SV114: name,SV228: pi_Rep,SV325: name] :
( ( ( fresh_name_pi_Rep @ SV325 @ SV228 )
= $false )
| ( ( ( perm_name_pi_Rep @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV114 @ SV325 ) @ nil_Pr743626285e_name ) @ SV228 )
= SV228 )
= $true )
| ( ( fresh_name_pi_Rep @ SV114 @ SV228 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1394]) ).
thf(1495,plain,
! [SV116: produc367475239e_name] :
( ( SV116
= ( produc1570949143e_name @ ( sK2_SY733 @ SV116 ) @ ( sK19_SY1038 @ SV116 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1395]) ).
thf(1496,plain,
! [SV230: list_P227219501e_name,SV117: list_P227219501e_name > $o] :
( ( ( SV117 @ ( cons_P1213805021e_name @ ( sK28_SY736 @ SV230 @ SV117 ) @ nil_Pr743626285e_name ) )
= $false )
| ( ( ~ ! [SY737: produc367475239e_name,SY738: produc367475239e_name,SY739: list_P227219501e_name] :
( ~ ( SV117 @ SY739 )
| ~ ( SV117 @ ( cons_P1213805021e_name @ SY738 @ SY739 ) )
| ( SV117 @ ( cons_P1213805021e_name @ SY737 @ ( cons_P1213805021e_name @ SY738 @ SY739 ) ) ) )
| ( SV117 @ SV230 ) )
= $true )
| ( ( SV117 @ nil_Pr743626285e_name )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1396]) ).
thf(1497,plain,
! [SV118: produc890461031e_name] :
( ( ( ! [SY1075: list_P227219501e_name,SY1076: list_P227219501e_name] :
( SV118
!= ( produc208131031e_name @ ( cons_P1213805021e_name @ ( sK29_SY741 @ SV118 ) @ SY1075 ) @ SY1076 ) ) )
= $false )
| ( ( SV118
= ( produc208131031e_name @ nil_Pr743626285e_name @ ( sK8_SY740 @ SV118 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1397]) ).
thf(1498,plain,
! [SV364: name,SV327: name,SV231: name,SV119: name] :
( ( ( ( ( produc1570949143e_name @ SV119 @ SV231 )
= ( produc1570949143e_name @ SV327 @ SV364 ) )
| ~ ( ( SV119 != SV327 )
| ( SV231 != SV364 ) ) )
= $false )
| ( ( ~ ( ( ( produc1570949143e_name @ SV119 @ SV231 )
!= ( produc1570949143e_name @ SV327 @ SV364 ) )
| ~ ~ ( ( SV119 != SV327 )
| ( SV231 != SV364 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1398]) ).
thf(1499,plain,
! [SV120: name,SV232: late_subject,SV328: name] :
( ( ( fresh_717452603ubject @ SV328 @ SV232 )
= $false )
| ( ( ( perm_n1559866809ubject @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV120 @ SV328 ) @ nil_Pr743626285e_name ) @ SV232 )
= SV232 )
= $true )
| ( ( fresh_717452603ubject @ SV120 @ SV232 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1399]) ).
thf(1500,plain,
! [SV378: list_P227219501e_name,SV374: set_Pr1834926343_pi_pi,SV365: name,SV329: late_subject,SV233: pi,SV121: pi] :
( ( ( ~ ( strong2129052853vative @ SV121 @ SV233 @ SV329 @ SV365 @ SV374 ) )
= $true )
| ( ( ~ ( eqvt_pi @ SV374 )
| ( strong2129052853vative @ ( perm_name_pi @ SV378 @ SV121 ) @ ( perm_name_pi @ SV378 @ SV233 ) @ ( perm_n1559866809ubject @ SV378 @ SV329 ) @ ( perm_name_name @ SV378 @ SV365 ) @ SV374 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1400]) ).
thf(1501,plain,
! [SV235: list_P227219501e_name,SV123: list_P227219501e_name > $o] :
( ( ( SV123 @ ( cons_P1213805021e_name @ ( sK30_SY758 @ SV235 @ SV123 ) @ nil_Pr743626285e_name ) )
= $false )
| ( ( ~ ! [SY759: produc367475239e_name,SY760: produc367475239e_name,SY761: list_P227219501e_name] :
( ~ ( ( SY759 != SY760 )
| ( SV123 @ ( cons_P1213805021e_name @ SY759 @ SY761 ) ) )
| ~ ( ~ ( ( SY759 != SY760 ) )
| ( SV123 @ ( cons_P1213805021e_name @ SY760 @ SY761 ) ) )
| ( SV123 @ ( cons_P1213805021e_name @ SY759 @ ( cons_P1213805021e_name @ SY760 @ SY761 ) ) ) )
| ( SV123 @ SV235 ) )
= $true )
| ( ( SV123 @ nil_Pr743626285e_name )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1402]) ).
thf(1502,plain,
! [SV124: name,SV236: pi_Rep,SV330: name] :
( ( ( fresh_name_pi_Rep @ SV330 @ SV236 )
= $false )
| ( ( ( perm_name_pi_Rep @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV124 @ SV330 ) @ nil_Pr743626285e_name ) @ SV236 )
= SV236 )
= $true )
| ( ( fresh_name_pi_Rep @ SV124 @ SV236 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1403]) ).
thf(1503,plain,
! [SV126: name,SV238: name,SV331: name] :
( ( ( fresh_name_name @ SV331 @ SV238 )
= $false )
| ( ( ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV126 @ SV331 ) @ nil_Pr743626285e_name ) @ SV238 )
= SV238 )
= $true )
| ( ( fresh_name_name @ SV126 @ SV238 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1404]) ).
thf(1504,plain,
! [SV366: list_P227219501e_name,SV333: produc367475239e_name,SV240: list_P227219501e_name,SV128: produc367475239e_name] :
( ( ( ( ( cons_P1213805021e_name @ SV128 @ SV240 )
= ( cons_P1213805021e_name @ SV333 @ SV366 ) )
| ~ ( ( SV128 != SV333 )
| ( SV240 != SV366 ) ) )
= $false )
| ( ( ~ ( ( ( cons_P1213805021e_name @ SV128 @ SV240 )
!= ( cons_P1213805021e_name @ SV333 @ SV366 ) )
| ~ ~ ( ( SV128 != SV333 )
| ( SV240 != SV366 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1405]) ).
thf(1505,plain,
! [SV129: set_Pr443758855e_name,SV367: name,SV334: name,SV241: list_P227219501e_name] :
( ( ( ~ ( member695284560e_name @ ( produc1570949143e_name @ ( perm_name_name @ SV241 @ SV334 ) @ ( perm_name_name @ SV241 @ SV367 ) ) @ SV129 ) )
= $true )
| ( ( member695284560e_name @ ( produc1570949143e_name @ SV334 @ SV367 ) @ SV129 )
= $true )
| ( ( eqvt_name @ SV129 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1406]) ).
thf(1506,plain,
! [SV130: name,SV242: pi,SV335: name] :
( ( ( fresh_name_pi @ SV335 @ SV242 )
= $false )
| ( ( ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV130 @ SV335 ) @ nil_Pr743626285e_name ) @ SV242 )
= SV242 )
= $true )
| ( ( fresh_name_pi @ SV130 @ SV242 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1407]) ).
thf(1507,plain,
! [SV369: name,SV337: produc1141751126_pi_pi,SV244: name,SV132: name] :
( ( ( SV132 = SV244 )
= $true )
| ( ( ~ ( fresh_1376661020_pi_pi @ SV244 @ SV337 )
| ~ ( fresh_1376661020_pi_pi @ SV132 @ SV337 )
| ( fresh_1376661020_pi_pi @ SV132 @ ( perm_n1255502110_pi_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV244 @ SV369 ) @ nil_Pr743626285e_name ) @ SV337 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1409]) ).
thf(1508,plain,
! [SV133: name,SV245: late_subject,SV338: name] :
( ( ( fresh_717452603ubject @ SV338 @ SV245 )
= $false )
| ( ( ( perm_n1559866809ubject @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV133 @ SV338 ) @ nil_Pr743626285e_name ) @ SV245 )
= SV245 )
= $true )
| ( ( fresh_717452603ubject @ SV133 @ SV245 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1410]) ).
thf(1509,plain,
! [SV160: name,SV31: name] :
( ( ( ( late_BoundOutputS @ SV31 )
!= ( late_BoundOutputS @ SV160 ) )
= $false )
| ( ( ( late_BoundOutputS @ SV31 )
= ( late_BoundOutputS @ SV160 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1412]) ).
thf(1510,plain,
! [SV160: name,SV31: name] :
( ( ( SV31 != SV160 )
= $false )
| ( ( ( late_BoundOutputS @ SV31 )
= ( late_BoundOutputS @ SV160 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1412]) ).
thf(1511,plain,
! [SV160: name,SV31: name] :
( ( ( ( late_BoundOutputS @ SV31 )
!= ( late_BoundOutputS @ SV160 ) )
= $false )
| ( ( SV31 = SV160 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1413]) ).
thf(1512,plain,
! [SV160: name,SV31: name] :
( ( ( SV31 != SV160 )
= $false )
| ( ( SV31 = SV160 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1413]) ).
thf(1513,plain,
! [SV161: name,SV32: name] :
( ( ( ( late_BoundOutputS @ SV32 )
!= ( late_BoundOutputS @ SV161 ) )
= $false )
| ( ( ( late_BoundOutputS @ SV32 )
= ( late_BoundOutputS @ SV161 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1414]) ).
thf(1514,plain,
! [SV161: name,SV32: name] :
( ( ( SV32 != SV161 )
= $false )
| ( ( ( late_BoundOutputS @ SV32 )
= ( late_BoundOutputS @ SV161 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1414]) ).
thf(1515,plain,
! [SV161: name,SV32: name] :
( ( ( ( late_BoundOutputS @ SV32 )
!= ( late_BoundOutputS @ SV161 ) )
= $false )
| ( ( SV32 = SV161 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1415]) ).
thf(1516,plain,
! [SV161: name,SV32: name] :
( ( ( SV32 != SV161 )
= $false )
| ( ( SV32 = SV161 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1415]) ).
thf(1517,plain,
! [SV267: pi,SV163: name,SV38: list_P227219501e_name] :
( ( ( ~ ( perm_name_o @ SV38 @ ( fresh_name_pi @ SV163 @ SV267 ) )
| ~ ( fresh_name_pi @ ( perm_name_name @ SV38 @ SV163 ) @ ( perm_name_pi @ SV38 @ SV267 ) ) )
= $false )
| ( ( perm_name_o @ SV38 @ ( fresh_name_pi @ SV163 @ SV267 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1416]) ).
thf(1518,plain,
! [SV267: pi,SV163: name,SV38: list_P227219501e_name] :
( ( ( ~ ( perm_name_o @ SV38 @ ( fresh_name_pi @ SV163 @ SV267 ) )
| ~ ( fresh_name_pi @ ( perm_name_name @ SV38 @ SV163 ) @ ( perm_name_pi @ SV38 @ SV267 ) ) )
= $false )
| ( ( fresh_name_pi @ ( perm_name_name @ SV38 @ SV163 ) @ ( perm_name_pi @ SV38 @ SV267 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1417]) ).
thf(1519,plain,
! [SV268: pi,SV164: name,SV39: list_P227219501e_name] :
( ( ( ~ ( fresh_name_pi @ ( perm_name_name @ SV39 @ SV164 ) @ ( perm_name_pi @ SV39 @ SV268 ) )
| ~ ( fresh_name_pi @ SV164 @ SV268 ) )
= $false )
| ( ( fresh_name_pi @ ( perm_name_name @ SV39 @ SV164 ) @ ( perm_name_pi @ SV39 @ SV268 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1418]) ).
thf(1520,plain,
! [SV268: pi,SV164: name,SV39: list_P227219501e_name] :
( ( ( ~ ( fresh_name_pi @ ( perm_name_name @ SV39 @ SV164 ) @ ( perm_name_pi @ SV39 @ SV268 ) )
| ~ ( fresh_name_pi @ SV164 @ SV268 ) )
= $false )
| ( ( fresh_name_pi @ SV164 @ SV268 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1419]) ).
thf(1521,plain,
! [SV272: pi,SV170: pi,SV46: list_P227219501e_name] :
( ( ( ( ( perm_name_pi @ SV46 @ SV170 )
!= ( perm_name_pi @ SV46 @ SV272 ) )
| ( SV170 != SV272 ) )
= $false )
| ( ( ( perm_name_pi @ SV46 @ SV170 )
= ( perm_name_pi @ SV46 @ SV272 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1420]) ).
thf(1522,plain,
! [SV272: pi,SV170: pi,SV46: list_P227219501e_name] :
( ( ( ( ( perm_name_pi @ SV46 @ SV170 )
!= ( perm_name_pi @ SV46 @ SV272 ) )
| ( SV170 != SV272 ) )
= $false )
| ( ( SV170 = SV272 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1421]) ).
thf(1523,plain,
! [SV275: set_pi,SV173: pi,SV49: list_P227219501e_name] :
( ( ( ~ ( perm_name_o @ SV49 @ ( member_pi @ SV173 @ SV275 ) )
| ~ ( member_pi @ ( perm_name_pi @ SV49 @ SV173 ) @ ( perm_name_set_pi @ SV49 @ SV275 ) ) )
= $false )
| ( ( perm_name_o @ SV49 @ ( member_pi @ SV173 @ SV275 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1422]) ).
thf(1524,plain,
! [SV275: set_pi,SV173: pi,SV49: list_P227219501e_name] :
( ( ( ~ ( perm_name_o @ SV49 @ ( member_pi @ SV173 @ SV275 ) )
| ~ ( member_pi @ ( perm_name_pi @ SV49 @ SV173 ) @ ( perm_name_set_pi @ SV49 @ SV275 ) ) )
= $false )
| ( ( member_pi @ ( perm_name_pi @ SV49 @ SV173 ) @ ( perm_name_set_pi @ SV49 @ SV275 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1423]) ).
thf(1525,plain,
! [SV276: pi,SV174: pi,SV50: list_P227219501e_name] :
( ( ( ~ ( perm_name_o @ SV50 @ ( SV174 = SV276 ) )
| ( ( perm_name_pi @ SV50 @ SV174 )
!= ( perm_name_pi @ SV50 @ SV276 ) ) )
= $false )
| ( ( perm_name_o @ SV50 @ ( SV174 = SV276 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1424]) ).
thf(1526,plain,
! [SV276: pi,SV174: pi,SV50: list_P227219501e_name] :
( ( ( ~ ( perm_name_o @ SV50 @ ( SV174 = SV276 ) )
| ( ( perm_name_pi @ SV50 @ SV174 )
!= ( perm_name_pi @ SV50 @ SV276 ) ) )
= $false )
| ( ( ( perm_name_pi @ SV50 @ SV174 )
= ( perm_name_pi @ SV50 @ SV276 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1425]) ).
thf(1527,plain,
! [SV175: name,SV51: name] :
( ( ( ~ ( member695284560e_name @ ( produc1570949143e_name @ SV51 @ SV175 ) @ id_name ) )
= $false )
| ( ( member695284560e_name @ ( produc1570949143e_name @ SV51 @ SV175 ) @ id_name )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1426]) ).
thf(1528,plain,
! [SV175: name,SV51: name] :
( ( ( SV51 != SV175 )
= $false )
| ( ( member695284560e_name @ ( produc1570949143e_name @ SV51 @ SV175 ) @ id_name )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1426]) ).
thf(1529,plain,
! [SV175: name,SV51: name] :
( ( ( ~ ( member695284560e_name @ ( produc1570949143e_name @ SV51 @ SV175 ) @ id_name ) )
= $false )
| ( ( SV51 = SV175 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1427]) ).
thf(1530,plain,
! [SV175: name,SV51: name] :
( ( ( SV51 != SV175 )
= $false )
| ( ( SV51 = SV175 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1427]) ).
thf(1531,plain,
! [SV176: name,SV53: name] :
( ( ( ~ ( fresh_717452603ubject @ SV53 @ ( late_BoundOutputS @ SV176 ) ) )
= $false )
| ( ( fresh_717452603ubject @ SV53 @ ( late_BoundOutputS @ SV176 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1428]) ).
thf(1532,plain,
! [SV176: name,SV53: name] :
( ( ( ~ ( fresh_name_name @ SV53 @ SV176 ) )
= $false )
| ( ( fresh_717452603ubject @ SV53 @ ( late_BoundOutputS @ SV176 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1428]) ).
thf(1533,plain,
! [SV176: name,SV53: name] :
( ( ( ~ ( fresh_717452603ubject @ SV53 @ ( late_BoundOutputS @ SV176 ) ) )
= $false )
| ( ( fresh_name_name @ SV53 @ SV176 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1429]) ).
thf(1534,plain,
! [SV176: name,SV53: name] :
( ( ( ~ ( fresh_name_name @ SV53 @ SV176 ) )
= $false )
| ( ( fresh_name_name @ SV53 @ SV176 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1429]) ).
thf(1535,plain,
! [SV63: $o] :
( ( ( ~ SV63 ) = $false )
| ( SV63 = $false )
| ( ( SV63 = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1431]) ).
thf(1536,plain,
! [SV63: $o] :
( ( ( ~ $true ) = $false )
| ( SV63 = $false )
| ( ( SV63 = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1431]) ).
thf(1537,plain,
! [SV63: $o] :
( ( ( ~ SV63 ) = $false )
| ( $true = $false )
| ( ( SV63 = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1432]) ).
thf(1538,plain,
! [SV63: $o] :
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( ( SV63 = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1432]) ).
thf(1539,plain,
! [SV63: $o] :
( ( ( ~ SV63
| ~ $false )
= $false )
| ( SV63 = $false )
| ( ( SV63 = $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1433]) ).
thf(1540,plain,
! [SV63: $o] :
( ( ( ~ SV63
| ~ $false )
= $false )
| ( $false = $false )
| ( ( SV63 = $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1434]) ).
thf(1541,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1435]) ).
thf(1542,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1435]) ).
thf(1543,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1436]) ).
thf(1544,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1436]) ).
thf(1545,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $true = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1437]) ).
thf(1546,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $false = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1438]) ).
thf(1547,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1439]) ).
thf(1548,plain,
( ( ( ~ $true ) = $false )
| ( $false = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1439]) ).
thf(1549,plain,
( ( ( ~ $false ) = $false )
| ( $true = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1440]) ).
thf(1550,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1440]) ).
thf(1551,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1441]) ).
thf(1552,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1442]) ).
thf(1553,plain,
! [SV286: list_P227219501e_name,SV186: list_P227219501e_name,SV64: list_P227219501e_name > list_P227219501e_name > $o] :
( ( ( ! [SY559: produc367475239e_name,SY560: list_P227219501e_name,SY561: list_P227219501e_name] :
( ~ ( SV64 @ SY561 @ SY560 )
| ( SV64 @ ( cons_P1213805021e_name @ SY559 @ SY560 ) @ SY561 ) ) )
= $false )
| ( ( SV64 @ SV186 @ SV286 )
= $true )
| ( ( SV64 @ nil_Pr743626285e_name @ ( sK13_SY558 @ SV286 @ SV186 @ SV64 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1443]) ).
thf(1554,plain,
! [SV187: list_P227219501e_name,SV287: list_P227219501e_name,SV65: list_P227219501e_name > list_P227219501e_name > $o] :
( ( ( ! [SY1077: list_P227219501e_name] : ( SV65 @ ( cons_P1213805021e_name @ ( sK31_SY564 @ SV287 @ SV187 @ SV65 ) @ SY1077 ) @ nil_Pr743626285e_name ) )
= $false )
| ( ( ~ ! [SY566: produc367475239e_name,SY567: list_P227219501e_name] : ( SV65 @ nil_Pr743626285e_name @ ( cons_P1213805021e_name @ SY566 @ SY567 ) )
| ~ ! [SY568: produc367475239e_name,SY569: list_P227219501e_name,SY570: produc367475239e_name,SY571: list_P227219501e_name] :
( ~ ( SV65 @ SY569 @ SY571 )
| ( SV65 @ ( cons_P1213805021e_name @ SY568 @ SY569 ) @ ( cons_P1213805021e_name @ SY570 @ SY571 ) ) )
| ( SV65 @ SV187 @ SV287 ) )
= $true )
| ( ( SV65 @ nil_Pr743626285e_name @ nil_Pr743626285e_name )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1444]) ).
thf(1555,plain,
! [SV289: pi,SV67: pi,SV371: list_P227219501e_name,SV342: set_Pr1834926343_pi_pi,SV189: set_Pr1834926343_pi_pi] :
( ( ( ~ ( ord_le630093991_pi_pi @ SV189 @ SV342 ) )
= $true )
| ( ( ~ ( eqvt_pi @ SV342 )
| ( strong743114133lation @ ( perm_name_pi @ SV371 @ SV67 ) @ SV342 @ ( perm_name_pi @ SV371 @ SV289 ) ) )
= $true )
| ( ( strong743114133lation @ SV67 @ SV189 @ SV289 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1445]) ).
thf(1556,plain,
! [SV69: list_P227219501e_name] :
( ( ( SV69
= ( cons_P1213805021e_name @ ( sK22_SY580 @ SV69 ) @ nil_Pr743626285e_name ) )
= $true )
| ( ( ~ ! [SY581: produc367475239e_name,SY582: produc367475239e_name,SY583: list_P227219501e_name] :
( SV69
!= ( cons_P1213805021e_name @ SY581 @ ( cons_P1213805021e_name @ SY582 @ SY583 ) ) ) )
= $true )
| ( ( SV69 = nil_Pr743626285e_name )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1447]) ).
thf(1557,plain,
! [SV291: list_P227219501e_name,SV191: produc367475239e_name > produc367475239e_name > $o,SV70: ( produc367475239e_name > produc367475239e_name > $o ) > list_P227219501e_name > $o] :
( ( ( ! [SY587: produc367475239e_name > produc367475239e_name > $o,SY588: produc367475239e_name,SY589: list_P227219501e_name] :
( ~ ( SV70 @ SY587 @ SY589 )
| ( SV70 @ SY587 @ ( cons_P1213805021e_name @ SY588 @ SY589 ) ) ) )
= $false )
| ( ( SV70 @ SV191 @ SV291 )
= $true )
| ( ( SV70 @ ( sK14_SY586 @ SV291 @ SV191 @ SV70 ) @ nil_Pr743626285e_name )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1448]) ).
thf(1558,plain,
! [SV192: produc367475239e_name > produc367475239e_name,SV292: list_P227219501e_name,SV343: list_P227219501e_name,SV71: ( produc367475239e_name > produc367475239e_name ) > list_P227219501e_name > list_P227219501e_name > $o] :
( ( ( SV71 @ ( sK23_SY593 @ SV343 @ SV292 @ SV192 @ SV71 ) @ nil_Pr743626285e_name @ ( sK32_SY1070 @ SV192 @ SV292 @ SV343 @ SV71 ) )
= $false )
| ( ( ~ ! [SY595: produc367475239e_name > produc367475239e_name,SY596: produc367475239e_name,SY597: list_P227219501e_name,SY598: list_P227219501e_name] :
( ~ ( SV71 @ SY595 @ SY597 @ ( cons_P1213805021e_name @ ( SY595 @ SY596 ) @ SY598 ) )
| ( SV71 @ SY595 @ ( cons_P1213805021e_name @ SY596 @ SY597 ) @ SY598 ) )
| ( SV71 @ SV192 @ SV292 @ SV343 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1449]) ).
thf(1559,plain,
! [SV72: list_l1406151091e_name] :
( ( ( SV72
= ( cons_l798145763e_name @ nil_Pr743626285e_name @ ( sK24_SY599 @ SV72 ) ) )
= $true )
| ( ( ~ ! [SY600: produc367475239e_name,SY601: list_P227219501e_name,SY602: list_l1406151091e_name] :
( SV72
!= ( cons_l798145763e_name @ ( cons_P1213805021e_name @ SY600 @ SY601 ) @ SY602 ) ) )
= $true )
| ( ( SV72 = nil_li29751603e_name )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1450]) ).
thf(1560,plain,
! [SV344: pi,SV293: pi,SV193: list_P227219501e_name,SV74: $o] :
( ( ( ~ SV74 ) = $true )
| ( ( ( perm_name_pi @ SV193 @ ( if_pi @ SV74 @ SV293 @ SV344 ) )
= ( perm_name_pi @ SV193 @ SV293 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1451]) ).
thf(1561,plain,
! [SV344: pi,SV293: pi,SV193: list_P227219501e_name,SV74: $o] :
( ( ( ~ ~ SV74 )
= $true )
| ( ( ( perm_name_pi @ SV193 @ ( if_pi @ SV74 @ SV293 @ SV344 ) )
= ( perm_name_pi @ SV193 @ SV344 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1452]) ).
thf(1562,plain,
! [SV345: pi,SV294: pi,SV194: list_P227219501e_name] :
( ( ( ~ $true ) = $true )
| ( ( ( perm_name_pi @ SV194 @ ( if_pi @ $true @ SV294 @ SV345 ) )
= ( perm_name_pi @ SV194 @ SV294 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1453]) ).
thf(1563,plain,
! [SV345: pi,SV294: pi,SV194: list_P227219501e_name] :
( ( ( ~ ~ $true )
= $true )
| ( ( ( perm_name_pi @ SV194 @ ( if_pi @ $true @ SV294 @ SV345 ) )
= ( perm_name_pi @ SV194 @ SV345 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1454]) ).
thf(1564,plain,
! [SV346: pi,SV295: pi,SV195: list_P227219501e_name] :
( ( ( ~ $false ) = $true )
| ( ( ( perm_name_pi @ SV195 @ ( if_pi @ $false @ SV295 @ SV346 ) )
= ( perm_name_pi @ SV195 @ SV295 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1455]) ).
thf(1565,plain,
! [SV346: pi,SV295: pi,SV195: list_P227219501e_name] :
( ( ( ~ ~ $false )
= $true )
| ( ( ( perm_name_pi @ SV195 @ ( if_pi @ $false @ SV295 @ SV346 ) )
= ( perm_name_pi @ SV195 @ SV346 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1456]) ).
thf(1566,plain,
! [SV347: name,SV297: name,SV197: name,SV76: name] :
( ( ( ( produc1570949143e_name @ SV76 @ SV197 )
= ( produc1570949143e_name @ SV297 @ SV347 ) )
= $false )
| ( ( ~ ( ( ( produc1570949143e_name @ SV76 @ SV197 )
!= ( produc1570949143e_name @ SV297 @ SV347 ) )
| ~ ~ ( ( SV76 != SV297 )
| ( SV197 != SV347 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1457]) ).
thf(1567,plain,
! [SV347: name,SV197: name,SV297: name,SV76: name] :
( ( ( ~ ( ( SV76 != SV297 )
| ( SV197 != SV347 ) ) )
= $false )
| ( ( ~ ( ( ( produc1570949143e_name @ SV76 @ SV197 )
!= ( produc1570949143e_name @ SV297 @ SV347 ) )
| ~ ~ ( ( SV76 != SV297 )
| ( SV197 != SV347 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1457]) ).
thf(1568,plain,
! [SV348: name,SV198: name,SV298: name,SV77: name] :
( ( ( SV77 != SV298 )
= $false )
| ( ( ( produc1570949143e_name @ SV77 @ SV198 )
= ( produc1570949143e_name @ SV298 @ SV348 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1458]) ).
thf(1569,plain,
! [SV298: name,SV77: name,SV348: name,SV198: name] :
( ( ( SV198 != SV348 )
= $false )
| ( ( ( produc1570949143e_name @ SV77 @ SV198 )
= ( produc1570949143e_name @ SV298 @ SV348 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1458]) ).
thf(1570,plain,
! [SV349: list_P227219501e_name,SV78: set_Pr1834926343_pi_pi,SV299: pi,SV199: pi] :
( ( ( member558706512_pi_pi @ ( product_Pair_pi_pi @ SV199 @ SV299 ) @ SV78 )
= $false )
| ( ( member558706512_pi_pi @ ( product_Pair_pi_pi @ ( perm_name_pi @ SV349 @ SV199 ) @ ( perm_name_pi @ SV349 @ SV299 ) ) @ SV78 )
= $true )
| ( ( eqvt_pi @ SV78 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1459]) ).
thf(1571,plain,
! [SV79: produc890461031e_name] :
( ( ( SV79
!= ( produc208131031e_name @ ( sK33_SY620 @ SV79 ) @ nil_Pr743626285e_name ) )
= $false )
| ( ( ~ ! [SY621: produc367475239e_name,SY622: list_P227219501e_name,SY623: produc367475239e_name,SY624: list_P227219501e_name] :
( SV79
!= ( produc208131031e_name @ ( cons_P1213805021e_name @ SY621 @ SY622 ) @ ( cons_P1213805021e_name @ SY623 @ SY624 ) ) ) )
= $true )
| ( ( SV79
= ( produc208131031e_name @ nil_Pr743626285e_name @ ( sK4_SY619 @ SV79 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1460]) ).
thf(1572,plain,
! [SV80: set_Pr443758855e_name,SV200: set_Pr443758855e_name] :
( ( ( member695284560e_name @ ( produc1570949143e_name @ ( sK9_SY877 @ SV200 @ SV80 ) @ ( sK15_SY1063 @ SV80 @ SV200 ) ) @ SV80 )
= $true )
| ( ( ord_le793202855e_name @ SV80 @ SV200 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1461]) ).
thf(1573,plain,
! [SV350: name,SV81: name,SV300: late_subject,SV201: name] :
( ( ( ~ ( fresh_717452603ubject @ SV201 @ SV300 ) )
= $true )
| ( ( ~ ( fresh_717452603ubject @ SV81 @ SV300 )
| ( fresh_717452603ubject @ SV81 @ ( perm_n1559866809ubject @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV201 @ SV350 ) @ nil_Pr743626285e_name ) @ SV300 ) ) )
= $true )
| ( ( SV81 = SV201 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1463]) ).
thf(1574,plain,
! [SV351: name,SV83: name,SV301: pi,SV203: name] :
( ( ( ~ ( fresh_name_pi @ SV203 @ SV301 ) )
= $true )
| ( ( ~ ( fresh_name_pi @ SV83 @ SV301 )
| ( fresh_name_pi @ SV83 @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV203 @ SV351 ) @ nil_Pr743626285e_name ) @ SV301 ) ) )
= $true )
| ( ( SV83 = SV203 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1464]) ).
thf(1575,plain,
! [SV85: list_P227219501e_name] :
( ( ( SV85
= ( cons_P1213805021e_name @ ( sK16_SY637 @ SV85 ) @ ( sK25_SY1069 @ SV85 ) ) )
= $true )
| ( ( SV85 = nil_Pr743626285e_name )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1466]) ).
thf(1576,plain,
! [SV87: name,SV205: name,SV303: name] :
( ( ( SV303 != SV205 )
= $false )
| ( ( ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV87 @ SV303 ) @ nil_Pr743626285e_name ) @ SV205 )
= SV205 )
= $true )
| ( ( SV87 = SV205 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1467]) ).
thf(1577,plain,
! [SV376: set_Pr1834926343_pi_pi,SV372: set_Pr1834926343_pi_pi,SV352: name,SV304: late_subject,SV206: pi,SV88: pi] :
( ( ( strong2129052853vative @ SV88 @ SV206 @ SV304 @ SV352 @ SV372 )
= $false )
| ( ( ~ ( ord_le630093991_pi_pi @ SV372 @ SV376 )
| ( strong2129052853vative @ SV88 @ SV206 @ SV304 @ SV352 @ SV376 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1468]) ).
thf(1578,plain,
! [SV305: list_P227219501e_name,SV207: produc367475239e_name > produc367475239e_name > $o,SV89: ( produc367475239e_name > produc367475239e_name > $o ) > list_P227219501e_name > $o] :
( ( ( ! [SY650: produc367475239e_name > produc367475239e_name > $o,SY651: produc367475239e_name] : ( SV89 @ SY650 @ ( cons_P1213805021e_name @ SY651 @ nil_Pr743626285e_name ) ) )
= $false )
| ( ( ~ ! [SY652: produc367475239e_name > produc367475239e_name > $o,SY653: produc367475239e_name,SY654: produc367475239e_name,SY655: list_P227219501e_name] :
( ~ ( SV89 @ SY652 @ ( cons_P1213805021e_name @ SY654 @ SY655 ) )
| ( SV89 @ SY652 @ ( cons_P1213805021e_name @ SY653 @ ( cons_P1213805021e_name @ SY654 @ SY655 ) ) ) )
| ( SV89 @ SV207 @ SV305 ) )
= $true )
| ( ( SV89 @ ( sK17_SY649 @ SV305 @ SV207 @ SV89 ) @ nil_Pr743626285e_name )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1469]) ).
thf(1579,plain,
! [SV377: list_P227219501e_name,SV373: set_Pr1834926343_pi_pi,SV353: name,SV306: late_subject,SV208: pi,SV90: pi] :
( ( ( strong2129052853vative @ SV90 @ SV208 @ SV306 @ SV353 @ SV373 )
= $false )
| ( ( ~ ( eqvt_pi @ SV373 )
| ( strong2129052853vative @ ( perm_name_pi @ SV377 @ SV90 ) @ ( perm_name_pi @ SV377 @ SV208 ) @ SV306 @ ( perm_name_name @ SV377 @ SV353 ) @ SV373 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1470]) ).
thf(1580,plain,
! [SV91: list_P227219501e_name,SV209: list_P227219501e_name > $o] :
( ( ( SV209 @ ( cons_P1213805021e_name @ ( sK34_SY901 @ SV91 @ SV209 ) @ nil_Pr743626285e_name ) )
= $false )
| ( ( ~ ! [SY902: produc367475239e_name,SY903: list_P227219501e_name] :
( ~ ( ( SY903 != nil_Pr743626285e_name ) )
| ~ ( SV209 @ SY903 )
| ( SV209 @ ( cons_P1213805021e_name @ SY902 @ SY903 ) ) )
| ( SV209 @ SV91 ) )
= $true )
| ( ( SV91 = nil_Pr743626285e_name )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1471]) ).
thf(1581,plain,
! [SV92: set_Pr1834926343_pi_pi,SV354: pi,SV307: pi,SV210: list_P227219501e_name] :
( ( ( member558706512_pi_pi @ ( product_Pair_pi_pi @ ( perm_name_pi @ SV210 @ SV307 ) @ ( perm_name_pi @ SV210 @ SV354 ) ) @ SV92 )
= $false )
| ( ( member558706512_pi_pi @ ( product_Pair_pi_pi @ SV307 @ SV354 ) @ SV92 )
= $true )
| ( ( eqvt_pi @ SV92 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1472]) ).
thf(1582,plain,
! [SV355: name,SV94: name,SV309: name,SV212: name] :
( ( ( ~ ( fresh_name_name @ SV212 @ SV309 ) )
= $true )
| ( ( ~ ( fresh_name_name @ SV94 @ SV309 )
| ( fresh_name_name @ SV94 @ ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV212 @ SV355 ) @ nil_Pr743626285e_name ) @ SV309 ) ) )
= $true )
| ( ( SV94 = SV212 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1474]) ).
thf(1583,plain,
! [SV356: name,SV95: name,SV310: late_freeRes,SV213: name] :
( ( ( ~ ( fresh_1641682979reeRes @ SV213 @ SV310 ) )
= $true )
| ( ( ~ ( fresh_1641682979reeRes @ SV95 @ SV310 )
| ( fresh_1641682979reeRes @ SV95 @ ( perm_n336613537reeRes @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV213 @ SV356 ) @ nil_Pr743626285e_name ) @ SV310 ) ) )
= $true )
| ( ( SV95 = SV213 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1475]) ).
thf(1584,plain,
! [SV96: produc1872410278e_name] :
( ( ( ! [SY1078: produc367475239e_name] :
( SV96
!= ( produc1069608854e_name @ ( sK35_SY677 @ SV96 ) @ ( cons_P1213805021e_name @ SY1078 @ nil_Pr743626285e_name ) ) ) )
= $false )
| ( ( ~ ! [SY679: produc367475239e_name > produc367475239e_name > $o,SY680: produc367475239e_name,SY681: produc367475239e_name,SY682: list_P227219501e_name] :
( SV96
!= ( produc1069608854e_name @ SY679 @ ( cons_P1213805021e_name @ SY680 @ ( cons_P1213805021e_name @ SY681 @ SY682 ) ) ) ) )
= $true )
| ( ( SV96
= ( produc1069608854e_name @ ( sK6_SY676 @ SV96 ) @ nil_Pr743626285e_name ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1476]) ).
thf(1585,plain,
! [SV311: list_P227219501e_name,SV214: list_P227219501e_name,SV97: list_P227219501e_name > list_P227219501e_name > $o] :
( ( ( ! [SY686: list_P227219501e_name] : ( SV97 @ SY686 @ nil_Pr743626285e_name ) )
= $false )
| ( ( ~ ! [SY687: produc367475239e_name,SY688: list_P227219501e_name,SY689: produc367475239e_name,SY690: list_P227219501e_name] :
( ~ ( SV97 @ SY688 @ ( cons_P1213805021e_name @ SY689 @ SY690 ) )
| ~ ( SV97 @ ( cons_P1213805021e_name @ SY687 @ SY688 ) @ SY690 )
| ( SV97 @ ( cons_P1213805021e_name @ SY687 @ SY688 ) @ ( cons_P1213805021e_name @ SY689 @ SY690 ) ) )
| ( SV97 @ SV214 @ SV311 ) )
= $true )
| ( ( SV97 @ nil_Pr743626285e_name @ ( sK18_SY685 @ SV311 @ SV214 @ SV97 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1477]) ).
thf(1586,plain,
! [SV357: name,SV98: name,SV312: pi_Rep,SV215: name] :
( ( ( ~ ( fresh_name_pi_Rep @ SV215 @ SV312 ) )
= $true )
| ( ( ~ ( fresh_name_pi_Rep @ SV98 @ SV312 )
| ( fresh_name_pi_Rep @ SV98 @ ( perm_name_pi_Rep @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV215 @ SV357 ) @ nil_Pr743626285e_name ) @ SV312 ) ) )
= $true )
| ( ( SV98 = SV215 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1478]) ).
thf(1587,plain,
! [SV358: list_P227219501e_name,SV102: set_Pr443758855e_name,SV315: name,SV219: name] :
( ( ( member695284560e_name @ ( produc1570949143e_name @ SV219 @ SV315 ) @ SV102 )
= $false )
| ( ( member695284560e_name @ ( produc1570949143e_name @ ( perm_name_name @ SV358 @ SV219 ) @ ( perm_name_name @ SV358 @ SV315 ) ) @ SV102 )
= $true )
| ( ( eqvt_name @ SV102 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1480]) ).
thf(1588,plain,
! [SV103: produc1872410278e_name] :
( ( ( ! [SY1079: list_P227219501e_name] :
( SV103
!= ( produc1069608854e_name @ ( sK26_SY703 @ SV103 ) @ ( cons_P1213805021e_name @ ( sK36_SY1071 @ SV103 ) @ SY1079 ) ) ) )
= $false )
| ( ( SV103
= ( produc1069608854e_name @ ( sK7_SY702 @ SV103 ) @ nil_Pr743626285e_name ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1481]) ).
thf(1589,plain,
! [SV220: list_P227219501e_name,SV104: list_P227219501e_name > $o] :
( ( ( ~ ( SV104 @ ( sK37_SY1073 @ SV220 @ SV104 ) )
| ( SV104 @ ( cons_P1213805021e_name @ ( sK27_SY707 @ SV220 @ SV104 ) @ ( sK37_SY1073 @ SV220 @ SV104 ) ) ) )
= $false )
| ( ( SV104 @ SV220 )
= $true )
| ( ( SV104 @ nil_Pr743626285e_name )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1482]) ).
thf(1590,plain,
! [SV359: pi,SV316: pi,SV221: $o,SV105: list_P227219501e_name] :
( ( ( ~ ( perm_name_o @ SV105 @ SV221 ) )
= $true )
| ( ( ( perm_name_pi @ SV105 @ ( if_pi @ SV221 @ SV316 @ SV359 ) )
= ( perm_name_pi @ SV105 @ SV316 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1483]) ).
thf(1591,plain,
! [SV359: pi,SV316: pi,SV221: $o,SV105: list_P227219501e_name] :
( ( ( ~ ~ ( perm_name_o @ SV105 @ SV221 ) )
= $true )
| ( ( ( perm_name_pi @ SV105 @ ( if_pi @ SV221 @ SV316 @ SV359 ) )
= ( perm_name_pi @ SV105 @ SV359 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1484]) ).
thf(1592,plain,
! [SV360: pi,SV317: pi,SV105: list_P227219501e_name] :
( ( ( ~ ( perm_name_o @ SV105 @ $true ) )
= $true )
| ( ( ( perm_name_pi @ SV105 @ ( if_pi @ $true @ SV317 @ SV360 ) )
= ( perm_name_pi @ SV105 @ SV317 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1485]) ).
thf(1593,plain,
! [SV360: pi,SV317: pi,SV105: list_P227219501e_name] :
( ( ( ~ ~ ( perm_name_o @ SV105 @ $true ) )
= $true )
| ( ( ( perm_name_pi @ SV105 @ ( if_pi @ $true @ SV317 @ SV360 ) )
= ( perm_name_pi @ SV105 @ SV360 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1486]) ).
thf(1594,plain,
! [SV361: pi,SV318: pi,SV105: list_P227219501e_name] :
( ( ( ~ ( perm_name_o @ SV105 @ $false ) )
= $true )
| ( ( ( perm_name_pi @ SV105 @ ( if_pi @ $false @ SV318 @ SV361 ) )
= ( perm_name_pi @ SV105 @ SV318 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1487]) ).
thf(1595,plain,
! [SV361: pi,SV318: pi,SV105: list_P227219501e_name] :
( ( ( ~ ~ ( perm_name_o @ SV105 @ $false ) )
= $true )
| ( ( ( perm_name_pi @ SV105 @ ( if_pi @ $false @ SV318 @ SV361 ) )
= ( perm_name_pi @ SV105 @ SV361 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1488]) ).
thf(1596,plain,
! [SV109: list_P227219501e_name] :
( ( ( ~ ( ( SV109 != nil_Pr743626285e_name ) ) )
= $false )
| ( ( SV109 = nil_Pr743626285e_name )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1490]) ).
thf(1597,plain,
! [SV109: list_P227219501e_name] :
( ( ( ~ ~ ! [SY717: produc367475239e_name] :
~ ~ ! [SY718: list_P227219501e_name] :
( SV109
!= ( cons_P1213805021e_name @ SY717 @ SY718 ) ) )
= $false )
| ( ( SV109 = nil_Pr743626285e_name )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1490]) ).
thf(1598,plain,
! [SV379: produc367475239e_name,SV109: list_P227219501e_name] :
( ( ( ~ ! [SY1074: list_P227219501e_name] :
( SV109
!= ( cons_P1213805021e_name @ SV379 @ SY1074 ) ) )
= $false )
| ( ( ~ ( ~ ( ( SV109 != nil_Pr743626285e_name ) )
| ~ ~ ! [SY717: produc367475239e_name] :
~ ~ ! [SY718: list_P227219501e_name] :
( SV109
!= ( cons_P1213805021e_name @ SY717 @ SY718 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1491]) ).
thf(1599,plain,
! [SV230: list_P227219501e_name,SV117: list_P227219501e_name > $o] :
( ( ( ~ ! [SY737: produc367475239e_name,SY738: produc367475239e_name,SY739: list_P227219501e_name] :
( ~ ( SV117 @ SY739 )
| ~ ( SV117 @ ( cons_P1213805021e_name @ SY738 @ SY739 ) )
| ( SV117 @ ( cons_P1213805021e_name @ SY737 @ ( cons_P1213805021e_name @ SY738 @ SY739 ) ) ) ) )
= $true )
| ( ( SV117 @ SV230 )
= $true )
| ( ( SV117 @ ( cons_P1213805021e_name @ ( sK28_SY736 @ SV230 @ SV117 ) @ nil_Pr743626285e_name ) )
= $false )
| ( ( SV117 @ nil_Pr743626285e_name )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1496]) ).
thf(1600,plain,
! [SV118: produc890461031e_name] :
( ( ( ! [SY1080: list_P227219501e_name] :
( SV118
!= ( produc208131031e_name @ ( cons_P1213805021e_name @ ( sK29_SY741 @ SV118 ) @ ( sK38_SY1075 @ SV118 ) ) @ SY1080 ) ) )
= $false )
| ( ( SV118
= ( produc208131031e_name @ nil_Pr743626285e_name @ ( sK8_SY740 @ SV118 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1497]) ).
thf(1601,plain,
! [SV364: name,SV327: name,SV231: name,SV119: name] :
( ( ( ( produc1570949143e_name @ SV119 @ SV231 )
= ( produc1570949143e_name @ SV327 @ SV364 ) )
= $false )
| ( ( ~ ( ( ( produc1570949143e_name @ SV119 @ SV231 )
!= ( produc1570949143e_name @ SV327 @ SV364 ) )
| ~ ~ ( ( SV119 != SV327 )
| ( SV231 != SV364 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1498]) ).
thf(1602,plain,
! [SV364: name,SV231: name,SV327: name,SV119: name] :
( ( ( ~ ( ( SV119 != SV327 )
| ( SV231 != SV364 ) ) )
= $false )
| ( ( ~ ( ( ( produc1570949143e_name @ SV119 @ SV231 )
!= ( produc1570949143e_name @ SV327 @ SV364 ) )
| ~ ~ ( ( SV119 != SV327 )
| ( SV231 != SV364 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1498]) ).
thf(1603,plain,
! [SV378: list_P227219501e_name,SV374: set_Pr1834926343_pi_pi,SV365: name,SV329: late_subject,SV233: pi,SV121: pi] :
( ( ( strong2129052853vative @ SV121 @ SV233 @ SV329 @ SV365 @ SV374 )
= $false )
| ( ( ~ ( eqvt_pi @ SV374 )
| ( strong2129052853vative @ ( perm_name_pi @ SV378 @ SV121 ) @ ( perm_name_pi @ SV378 @ SV233 ) @ ( perm_n1559866809ubject @ SV378 @ SV329 ) @ ( perm_name_name @ SV378 @ SV365 ) @ SV374 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1500]) ).
thf(1604,plain,
! [SV235: list_P227219501e_name,SV123: list_P227219501e_name > $o] :
( ( ( ~ ! [SY759: produc367475239e_name,SY760: produc367475239e_name,SY761: list_P227219501e_name] :
( ~ ( ( SY759 != SY760 )
| ( SV123 @ ( cons_P1213805021e_name @ SY759 @ SY761 ) ) )
| ~ ( ~ ( ( SY759 != SY760 ) )
| ( SV123 @ ( cons_P1213805021e_name @ SY760 @ SY761 ) ) )
| ( SV123 @ ( cons_P1213805021e_name @ SY759 @ ( cons_P1213805021e_name @ SY760 @ SY761 ) ) ) ) )
= $true )
| ( ( SV123 @ SV235 )
= $true )
| ( ( SV123 @ ( cons_P1213805021e_name @ ( sK30_SY758 @ SV235 @ SV123 ) @ nil_Pr743626285e_name ) )
= $false )
| ( ( SV123 @ nil_Pr743626285e_name )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1501]) ).
thf(1605,plain,
! [SV366: list_P227219501e_name,SV333: produc367475239e_name,SV240: list_P227219501e_name,SV128: produc367475239e_name] :
( ( ( ( cons_P1213805021e_name @ SV128 @ SV240 )
= ( cons_P1213805021e_name @ SV333 @ SV366 ) )
= $false )
| ( ( ~ ( ( ( cons_P1213805021e_name @ SV128 @ SV240 )
!= ( cons_P1213805021e_name @ SV333 @ SV366 ) )
| ~ ~ ( ( SV128 != SV333 )
| ( SV240 != SV366 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1504]) ).
thf(1606,plain,
! [SV366: list_P227219501e_name,SV240: list_P227219501e_name,SV333: produc367475239e_name,SV128: produc367475239e_name] :
( ( ( ~ ( ( SV128 != SV333 )
| ( SV240 != SV366 ) ) )
= $false )
| ( ( ~ ( ( ( cons_P1213805021e_name @ SV128 @ SV240 )
!= ( cons_P1213805021e_name @ SV333 @ SV366 ) )
| ~ ~ ( ( SV128 != SV333 )
| ( SV240 != SV366 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1504]) ).
thf(1607,plain,
! [SV129: set_Pr443758855e_name,SV367: name,SV334: name,SV241: list_P227219501e_name] :
( ( ( member695284560e_name @ ( produc1570949143e_name @ ( perm_name_name @ SV241 @ SV334 ) @ ( perm_name_name @ SV241 @ SV367 ) ) @ SV129 )
= $false )
| ( ( member695284560e_name @ ( produc1570949143e_name @ SV334 @ SV367 ) @ SV129 )
= $true )
| ( ( eqvt_name @ SV129 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1505]) ).
thf(1608,plain,
! [SV369: name,SV132: name,SV337: produc1141751126_pi_pi,SV244: name] :
( ( ( ~ ( fresh_1376661020_pi_pi @ SV244 @ SV337 ) )
= $true )
| ( ( ~ ( fresh_1376661020_pi_pi @ SV132 @ SV337 )
| ( fresh_1376661020_pi_pi @ SV132 @ ( perm_n1255502110_pi_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV244 @ SV369 ) @ nil_Pr743626285e_name ) @ SV337 ) ) )
= $true )
| ( ( SV132 = SV244 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1507]) ).
thf(1609,plain,
! [SV160: name,SV31: name] :
( ( ( ( late_BoundOutputS @ SV31 )
= ( late_BoundOutputS @ SV160 ) )
= $true )
| ( ( ( late_BoundOutputS @ SV31 )
= ( late_BoundOutputS @ SV160 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1509]) ).
thf(1610,plain,
! [SV160: name,SV31: name] :
( ( ( SV31 = SV160 )
= $true )
| ( ( ( late_BoundOutputS @ SV31 )
= ( late_BoundOutputS @ SV160 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1510]) ).
thf(1611,plain,
! [SV160: name,SV31: name] :
( ( ( ( late_BoundOutputS @ SV31 )
= ( late_BoundOutputS @ SV160 ) )
= $true )
| ( ( SV31 = SV160 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1511]) ).
thf(1612,plain,
! [SV160: name,SV31: name] :
( ( ( SV31 = SV160 )
= $true )
| ( ( SV31 = SV160 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1512]) ).
thf(1613,plain,
! [SV161: name,SV32: name] :
( ( ( ( late_BoundOutputS @ SV32 )
= ( late_BoundOutputS @ SV161 ) )
= $true )
| ( ( ( late_BoundOutputS @ SV32 )
= ( late_BoundOutputS @ SV161 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1513]) ).
thf(1614,plain,
! [SV161: name,SV32: name] :
( ( ( SV32 = SV161 )
= $true )
| ( ( ( late_BoundOutputS @ SV32 )
= ( late_BoundOutputS @ SV161 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1514]) ).
thf(1615,plain,
! [SV161: name,SV32: name] :
( ( ( ( late_BoundOutputS @ SV32 )
= ( late_BoundOutputS @ SV161 ) )
= $true )
| ( ( SV32 = SV161 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1515]) ).
thf(1616,plain,
! [SV161: name,SV32: name] :
( ( ( SV32 = SV161 )
= $true )
| ( ( SV32 = SV161 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1516]) ).
thf(1617,plain,
! [SV267: pi,SV163: name,SV38: list_P227219501e_name] :
( ( ( ~ ( perm_name_o @ SV38 @ ( fresh_name_pi @ SV163 @ SV267 ) ) )
= $false )
| ( ( perm_name_o @ SV38 @ ( fresh_name_pi @ SV163 @ SV267 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1517]) ).
thf(1618,plain,
! [SV267: pi,SV163: name,SV38: list_P227219501e_name] :
( ( ( ~ ( fresh_name_pi @ ( perm_name_name @ SV38 @ SV163 ) @ ( perm_name_pi @ SV38 @ SV267 ) ) )
= $false )
| ( ( perm_name_o @ SV38 @ ( fresh_name_pi @ SV163 @ SV267 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1517]) ).
thf(1619,plain,
! [SV267: pi,SV163: name,SV38: list_P227219501e_name] :
( ( ( ~ ( perm_name_o @ SV38 @ ( fresh_name_pi @ SV163 @ SV267 ) ) )
= $false )
| ( ( fresh_name_pi @ ( perm_name_name @ SV38 @ SV163 ) @ ( perm_name_pi @ SV38 @ SV267 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1518]) ).
thf(1620,plain,
! [SV267: pi,SV163: name,SV38: list_P227219501e_name] :
( ( ( ~ ( fresh_name_pi @ ( perm_name_name @ SV38 @ SV163 ) @ ( perm_name_pi @ SV38 @ SV267 ) ) )
= $false )
| ( ( fresh_name_pi @ ( perm_name_name @ SV38 @ SV163 ) @ ( perm_name_pi @ SV38 @ SV267 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1518]) ).
thf(1621,plain,
! [SV268: pi,SV164: name,SV39: list_P227219501e_name] :
( ( ( ~ ( fresh_name_pi @ ( perm_name_name @ SV39 @ SV164 ) @ ( perm_name_pi @ SV39 @ SV268 ) ) )
= $false )
| ( ( fresh_name_pi @ ( perm_name_name @ SV39 @ SV164 ) @ ( perm_name_pi @ SV39 @ SV268 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1519]) ).
thf(1622,plain,
! [SV39: list_P227219501e_name,SV268: pi,SV164: name] :
( ( ( ~ ( fresh_name_pi @ SV164 @ SV268 ) )
= $false )
| ( ( fresh_name_pi @ ( perm_name_name @ SV39 @ SV164 ) @ ( perm_name_pi @ SV39 @ SV268 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1519]) ).
thf(1623,plain,
! [SV268: pi,SV164: name,SV39: list_P227219501e_name] :
( ( ( ~ ( fresh_name_pi @ ( perm_name_name @ SV39 @ SV164 ) @ ( perm_name_pi @ SV39 @ SV268 ) ) )
= $false )
| ( ( fresh_name_pi @ SV164 @ SV268 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1520]) ).
thf(1624,plain,
! [SV268: pi,SV164: name] :
( ( ( ~ ( fresh_name_pi @ SV164 @ SV268 ) )
= $false )
| ( ( fresh_name_pi @ SV164 @ SV268 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1520]) ).
thf(1625,plain,
! [SV272: pi,SV170: pi,SV46: list_P227219501e_name] :
( ( ( ( perm_name_pi @ SV46 @ SV170 )
!= ( perm_name_pi @ SV46 @ SV272 ) )
= $false )
| ( ( ( perm_name_pi @ SV46 @ SV170 )
= ( perm_name_pi @ SV46 @ SV272 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1521]) ).
thf(1626,plain,
! [SV46: list_P227219501e_name,SV272: pi,SV170: pi] :
( ( ( SV170 != SV272 )
= $false )
| ( ( ( perm_name_pi @ SV46 @ SV170 )
= ( perm_name_pi @ SV46 @ SV272 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1521]) ).
thf(1627,plain,
! [SV272: pi,SV170: pi,SV46: list_P227219501e_name] :
( ( ( ( perm_name_pi @ SV46 @ SV170 )
!= ( perm_name_pi @ SV46 @ SV272 ) )
= $false )
| ( ( SV170 = SV272 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1522]) ).
thf(1628,plain,
! [SV272: pi,SV170: pi] :
( ( ( SV170 != SV272 )
= $false )
| ( ( SV170 = SV272 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1522]) ).
thf(1629,plain,
! [SV275: set_pi,SV173: pi,SV49: list_P227219501e_name] :
( ( ( ~ ( perm_name_o @ SV49 @ ( member_pi @ SV173 @ SV275 ) ) )
= $false )
| ( ( perm_name_o @ SV49 @ ( member_pi @ SV173 @ SV275 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1523]) ).
thf(1630,plain,
! [SV275: set_pi,SV173: pi,SV49: list_P227219501e_name] :
( ( ( ~ ( member_pi @ ( perm_name_pi @ SV49 @ SV173 ) @ ( perm_name_set_pi @ SV49 @ SV275 ) ) )
= $false )
| ( ( perm_name_o @ SV49 @ ( member_pi @ SV173 @ SV275 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1523]) ).
thf(1631,plain,
! [SV275: set_pi,SV173: pi,SV49: list_P227219501e_name] :
( ( ( ~ ( perm_name_o @ SV49 @ ( member_pi @ SV173 @ SV275 ) ) )
= $false )
| ( ( member_pi @ ( perm_name_pi @ SV49 @ SV173 ) @ ( perm_name_set_pi @ SV49 @ SV275 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1524]) ).
thf(1632,plain,
! [SV275: set_pi,SV173: pi,SV49: list_P227219501e_name] :
( ( ( ~ ( member_pi @ ( perm_name_pi @ SV49 @ SV173 ) @ ( perm_name_set_pi @ SV49 @ SV275 ) ) )
= $false )
| ( ( member_pi @ ( perm_name_pi @ SV49 @ SV173 ) @ ( perm_name_set_pi @ SV49 @ SV275 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1524]) ).
thf(1633,plain,
! [SV276: pi,SV174: pi,SV50: list_P227219501e_name] :
( ( ( ~ ( perm_name_o @ SV50 @ ( SV174 = SV276 ) ) )
= $false )
| ( ( perm_name_o @ SV50 @ ( SV174 = SV276 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1525]) ).
thf(1634,plain,
! [SV276: pi,SV174: pi,SV50: list_P227219501e_name] :
( ( ( ( perm_name_pi @ SV50 @ SV174 )
!= ( perm_name_pi @ SV50 @ SV276 ) )
= $false )
| ( ( perm_name_o @ SV50 @ ( SV174 = SV276 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1525]) ).
thf(1635,plain,
! [SV276: pi,SV174: pi,SV50: list_P227219501e_name] :
( ( ( ~ ( perm_name_o @ SV50 @ ( SV174 = SV276 ) ) )
= $false )
| ( ( ( perm_name_pi @ SV50 @ SV174 )
= ( perm_name_pi @ SV50 @ SV276 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1526]) ).
thf(1636,plain,
! [SV276: pi,SV174: pi,SV50: list_P227219501e_name] :
( ( ( ( perm_name_pi @ SV50 @ SV174 )
!= ( perm_name_pi @ SV50 @ SV276 ) )
= $false )
| ( ( ( perm_name_pi @ SV50 @ SV174 )
= ( perm_name_pi @ SV50 @ SV276 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1526]) ).
thf(1637,plain,
! [SV175: name,SV51: name] :
( ( ( member695284560e_name @ ( produc1570949143e_name @ SV51 @ SV175 ) @ id_name )
= $true )
| ( ( member695284560e_name @ ( produc1570949143e_name @ SV51 @ SV175 ) @ id_name )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1527]) ).
thf(1638,plain,
! [SV175: name,SV51: name] :
( ( ( SV51 = SV175 )
= $true )
| ( ( member695284560e_name @ ( produc1570949143e_name @ SV51 @ SV175 ) @ id_name )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1528]) ).
thf(1639,plain,
! [SV175: name,SV51: name] :
( ( ( member695284560e_name @ ( produc1570949143e_name @ SV51 @ SV175 ) @ id_name )
= $true )
| ( ( SV51 = SV175 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1529]) ).
thf(1640,plain,
! [SV175: name,SV51: name] :
( ( ( SV51 = SV175 )
= $true )
| ( ( SV51 = SV175 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1530]) ).
thf(1641,plain,
! [SV176: name,SV53: name] :
( ( ( fresh_717452603ubject @ SV53 @ ( late_BoundOutputS @ SV176 ) )
= $true )
| ( ( fresh_717452603ubject @ SV53 @ ( late_BoundOutputS @ SV176 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1531]) ).
thf(1642,plain,
! [SV176: name,SV53: name] :
( ( ( fresh_name_name @ SV53 @ SV176 )
= $true )
| ( ( fresh_717452603ubject @ SV53 @ ( late_BoundOutputS @ SV176 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1532]) ).
thf(1643,plain,
! [SV176: name,SV53: name] :
( ( ( fresh_717452603ubject @ SV53 @ ( late_BoundOutputS @ SV176 ) )
= $true )
| ( ( fresh_name_name @ SV53 @ SV176 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1533]) ).
thf(1644,plain,
! [SV176: name,SV53: name] :
( ( ( fresh_name_name @ SV53 @ SV176 )
= $true )
| ( ( fresh_name_name @ SV53 @ SV176 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1534]) ).
thf(1645,plain,
! [SV63: $o] :
( ( SV63 = $true )
| ( SV63 = $false )
| ( ( SV63 = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1535]) ).
thf(1646,plain,
! [SV63: $o] :
( ( $true = $true )
| ( SV63 = $false )
| ( ( SV63 = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1536]) ).
thf(1647,plain,
! [SV63: $o] :
( ( SV63 = $true )
| ( $true = $false )
| ( ( SV63 = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1537]) ).
thf(1648,plain,
! [SV63: $o] :
( ( $true = $true )
| ( $true = $false )
| ( ( SV63 = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1538]) ).
thf(1649,plain,
! [SV63: $o] :
( ( ( ~ SV63 ) = $false )
| ( SV63 = $false )
| ( ( SV63 = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1539]) ).
thf(1650,plain,
! [SV63: $o] :
( ( ( ~ $false ) = $false )
| ( SV63 = $false )
| ( ( SV63 = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1539]) ).
thf(1651,plain,
! [SV63: $o] :
( ( ( ~ SV63 ) = $false )
| ( $false = $false )
| ( ( SV63 = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1540]) ).
thf(1652,plain,
! [SV63: $o] :
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( ( SV63 = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1540]) ).
thf(1653,plain,
( ( $true = $true )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1541]) ).
thf(1654,plain,
( ( $true = $true )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1542]) ).
thf(1655,plain,
( ( $true = $true )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1543]) ).
thf(1656,plain,
( ( $true = $true )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1544]) ).
thf(1657,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1545]) ).
thf(1658,plain,
( ( ( ~ $false ) = $false )
| ( $true = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1545]) ).
thf(1659,plain,
( ( ( ~ $true ) = $false )
| ( $false = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1546]) ).
thf(1660,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1546]) ).
thf(1661,plain,
( ( $false = $true )
| ( $false = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1547]) ).
thf(1662,plain,
( ( $true = $true )
| ( $false = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1548]) ).
thf(1663,plain,
( ( $false = $true )
| ( $true = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1549]) ).
thf(1664,plain,
( ( $true = $true )
| ( $true = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1550]) ).
thf(1665,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1551]) ).
thf(1666,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1551]) ).
thf(1667,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1552]) ).
thf(1668,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1552]) ).
thf(1669,plain,
! [SV186: list_P227219501e_name,SV286: list_P227219501e_name,SV64: list_P227219501e_name > list_P227219501e_name > $o] :
( ( ( ! [SY1081: list_P227219501e_name,SY1082: list_P227219501e_name] :
( ~ ( SV64 @ SY1082 @ SY1081 )
| ( SV64 @ ( cons_P1213805021e_name @ ( sK39_SY559 @ SV286 @ SV186 @ SV64 ) @ SY1081 ) @ SY1082 ) ) )
= $false )
| ( ( SV64 @ SV186 @ SV286 )
= $true )
| ( ( SV64 @ nil_Pr743626285e_name @ ( sK13_SY558 @ SV286 @ SV186 @ SV64 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1553]) ).
thf(1670,plain,
! [SV187: list_P227219501e_name,SV287: list_P227219501e_name,SV65: list_P227219501e_name > list_P227219501e_name > $o] :
( ( ( SV65 @ ( cons_P1213805021e_name @ ( sK31_SY564 @ SV287 @ SV187 @ SV65 ) @ ( sK40_SY1077 @ SV187 @ SV287 @ SV65 ) ) @ nil_Pr743626285e_name )
= $false )
| ( ( ~ ! [SY566: produc367475239e_name,SY567: list_P227219501e_name] : ( SV65 @ nil_Pr743626285e_name @ ( cons_P1213805021e_name @ SY566 @ SY567 ) )
| ~ ! [SY568: produc367475239e_name,SY569: list_P227219501e_name,SY570: produc367475239e_name,SY571: list_P227219501e_name] :
( ~ ( SV65 @ SY569 @ SY571 )
| ( SV65 @ ( cons_P1213805021e_name @ SY568 @ SY569 ) @ ( cons_P1213805021e_name @ SY570 @ SY571 ) ) )
| ( SV65 @ SV187 @ SV287 ) )
= $true )
| ( ( SV65 @ nil_Pr743626285e_name @ nil_Pr743626285e_name )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1554]) ).
thf(1671,plain,
! [SV289: pi,SV67: pi,SV371: list_P227219501e_name,SV342: set_Pr1834926343_pi_pi,SV189: set_Pr1834926343_pi_pi] :
( ( ( ord_le630093991_pi_pi @ SV189 @ SV342 )
= $false )
| ( ( ~ ( eqvt_pi @ SV342 )
| ( strong743114133lation @ ( perm_name_pi @ SV371 @ SV67 ) @ SV342 @ ( perm_name_pi @ SV371 @ SV289 ) ) )
= $true )
| ( ( strong743114133lation @ SV67 @ SV189 @ SV289 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1555]) ).
thf(1672,plain,
! [SV69: list_P227219501e_name] :
( ( ( ! [SY581: produc367475239e_name,SY582: produc367475239e_name,SY583: list_P227219501e_name] :
( SV69
!= ( cons_P1213805021e_name @ SY581 @ ( cons_P1213805021e_name @ SY582 @ SY583 ) ) ) )
= $false )
| ( ( SV69
= ( cons_P1213805021e_name @ ( sK22_SY580 @ SV69 ) @ nil_Pr743626285e_name ) )
= $true )
| ( ( SV69 = nil_Pr743626285e_name )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1556]) ).
thf(1673,plain,
! [SV191: produc367475239e_name > produc367475239e_name > $o,SV291: list_P227219501e_name,SV70: ( produc367475239e_name > produc367475239e_name > $o ) > list_P227219501e_name > $o] :
( ( ( ! [SY1083: produc367475239e_name,SY1084: list_P227219501e_name] :
( ~ ( SV70 @ ( sK41_SY587 @ SV291 @ SV191 @ SV70 ) @ SY1084 )
| ( SV70 @ ( sK41_SY587 @ SV291 @ SV191 @ SV70 ) @ ( cons_P1213805021e_name @ SY1083 @ SY1084 ) ) ) )
= $false )
| ( ( SV70 @ SV191 @ SV291 )
= $true )
| ( ( SV70 @ ( sK14_SY586 @ SV291 @ SV191 @ SV70 ) @ nil_Pr743626285e_name )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1557]) ).
thf(1674,plain,
! [SV343: list_P227219501e_name,SV292: list_P227219501e_name,SV192: produc367475239e_name > produc367475239e_name,SV71: ( produc367475239e_name > produc367475239e_name ) > list_P227219501e_name > list_P227219501e_name > $o] :
( ( ( ~ ! [SY595: produc367475239e_name > produc367475239e_name,SY596: produc367475239e_name,SY597: list_P227219501e_name,SY598: list_P227219501e_name] :
( ~ ( SV71 @ SY595 @ SY597 @ ( cons_P1213805021e_name @ ( SY595 @ SY596 ) @ SY598 ) )
| ( SV71 @ SY595 @ ( cons_P1213805021e_name @ SY596 @ SY597 ) @ SY598 ) ) )
= $true )
| ( ( SV71 @ SV192 @ SV292 @ SV343 )
= $true )
| ( ( SV71 @ ( sK23_SY593 @ SV343 @ SV292 @ SV192 @ SV71 ) @ nil_Pr743626285e_name @ ( sK32_SY1070 @ SV192 @ SV292 @ SV343 @ SV71 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1558]) ).
thf(1675,plain,
! [SV72: list_l1406151091e_name] :
( ( ( ! [SY600: produc367475239e_name,SY601: list_P227219501e_name,SY602: list_l1406151091e_name] :
( SV72
!= ( cons_l798145763e_name @ ( cons_P1213805021e_name @ SY600 @ SY601 ) @ SY602 ) ) )
= $false )
| ( ( SV72
= ( cons_l798145763e_name @ nil_Pr743626285e_name @ ( sK24_SY599 @ SV72 ) ) )
= $true )
| ( ( SV72 = nil_li29751603e_name )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1559]) ).
thf(1676,plain,
! [SV344: pi,SV293: pi,SV193: list_P227219501e_name,SV74: $o] :
( ( SV74 = $false )
| ( ( ( perm_name_pi @ SV193 @ ( if_pi @ SV74 @ SV293 @ SV344 ) )
= ( perm_name_pi @ SV193 @ SV293 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1560]) ).
thf(1677,plain,
! [SV344: pi,SV293: pi,SV193: list_P227219501e_name,SV74: $o] :
( ( ( ~ SV74 ) = $false )
| ( ( ( perm_name_pi @ SV193 @ ( if_pi @ SV74 @ SV293 @ SV344 ) )
= ( perm_name_pi @ SV193 @ SV344 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1561]) ).
thf(1678,plain,
! [SV345: pi,SV294: pi,SV194: list_P227219501e_name] :
( ( $true = $false )
| ( ( ( perm_name_pi @ SV194 @ ( if_pi @ $true @ SV294 @ SV345 ) )
= ( perm_name_pi @ SV194 @ SV294 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1562]) ).
thf(1679,plain,
! [SV345: pi,SV294: pi,SV194: list_P227219501e_name] :
( ( ( ~ $true ) = $false )
| ( ( ( perm_name_pi @ SV194 @ ( if_pi @ $true @ SV294 @ SV345 ) )
= ( perm_name_pi @ SV194 @ SV345 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1563]) ).
thf(1680,plain,
! [SV346: pi,SV295: pi,SV195: list_P227219501e_name] :
( ( $false = $false )
| ( ( ( perm_name_pi @ SV195 @ ( if_pi @ $false @ SV295 @ SV346 ) )
= ( perm_name_pi @ SV195 @ SV295 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1564]) ).
thf(1681,plain,
! [SV346: pi,SV295: pi,SV195: list_P227219501e_name] :
( ( ( ~ $false ) = $false )
| ( ( ( perm_name_pi @ SV195 @ ( if_pi @ $false @ SV295 @ SV346 ) )
= ( perm_name_pi @ SV195 @ SV346 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1565]) ).
thf(1682,plain,
! [SV347: name,SV297: name,SV197: name,SV76: name] :
( ( ( ( ( produc1570949143e_name @ SV76 @ SV197 )
!= ( produc1570949143e_name @ SV297 @ SV347 ) )
| ~ ~ ( ( SV76 != SV297 )
| ( SV197 != SV347 ) ) )
= $false )
| ( ( ( produc1570949143e_name @ SV76 @ SV197 )
= ( produc1570949143e_name @ SV297 @ SV347 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1566]) ).
thf(1683,plain,
! [SV347: name,SV197: name,SV297: name,SV76: name] :
( ( ( ( SV76 != SV297 )
| ( SV197 != SV347 ) )
= $true )
| ( ( ~ ( ( ( produc1570949143e_name @ SV76 @ SV197 )
!= ( produc1570949143e_name @ SV297 @ SV347 ) )
| ~ ~ ( ( SV76 != SV297 )
| ( SV197 != SV347 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1567]) ).
thf(1684,plain,
! [SV348: name,SV198: name,SV298: name,SV77: name] :
( ( ( SV77 = SV298 )
= $true )
| ( ( ( produc1570949143e_name @ SV77 @ SV198 )
= ( produc1570949143e_name @ SV298 @ SV348 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1568]) ).
thf(1685,plain,
! [SV298: name,SV77: name,SV348: name,SV198: name] :
( ( ( SV198 = SV348 )
= $true )
| ( ( ( produc1570949143e_name @ SV77 @ SV198 )
= ( produc1570949143e_name @ SV298 @ SV348 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1569]) ).
thf(1686,plain,
! [SV79: produc890461031e_name] :
( ( ( SV79
= ( produc208131031e_name @ ( sK33_SY620 @ SV79 ) @ nil_Pr743626285e_name ) )
= $true )
| ( ( ~ ! [SY621: produc367475239e_name,SY622: list_P227219501e_name,SY623: produc367475239e_name,SY624: list_P227219501e_name] :
( SV79
!= ( produc208131031e_name @ ( cons_P1213805021e_name @ SY621 @ SY622 ) @ ( cons_P1213805021e_name @ SY623 @ SY624 ) ) ) )
= $true )
| ( ( SV79
= ( produc208131031e_name @ nil_Pr743626285e_name @ ( sK4_SY619 @ SV79 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1571]) ).
thf(1687,plain,
! [SV350: name,SV81: name,SV300: late_subject,SV201: name] :
( ( ( fresh_717452603ubject @ SV201 @ SV300 )
= $false )
| ( ( ~ ( fresh_717452603ubject @ SV81 @ SV300 )
| ( fresh_717452603ubject @ SV81 @ ( perm_n1559866809ubject @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV201 @ SV350 ) @ nil_Pr743626285e_name ) @ SV300 ) ) )
= $true )
| ( ( SV81 = SV201 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1573]) ).
thf(1688,plain,
! [SV351: name,SV83: name,SV301: pi,SV203: name] :
( ( ( fresh_name_pi @ SV203 @ SV301 )
= $false )
| ( ( ~ ( fresh_name_pi @ SV83 @ SV301 )
| ( fresh_name_pi @ SV83 @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV203 @ SV351 ) @ nil_Pr743626285e_name ) @ SV301 ) ) )
= $true )
| ( ( SV83 = SV203 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1574]) ).
thf(1689,plain,
! [SV87: name,SV205: name,SV303: name] :
( ( ( SV303 = SV205 )
= $true )
| ( ( ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV87 @ SV303 ) @ nil_Pr743626285e_name ) @ SV205 )
= SV205 )
= $true )
| ( ( SV87 = SV205 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1576]) ).
thf(1690,plain,
! [SV352: name,SV304: late_subject,SV206: pi,SV88: pi,SV376: set_Pr1834926343_pi_pi,SV372: set_Pr1834926343_pi_pi] :
( ( ( ~ ( ord_le630093991_pi_pi @ SV372 @ SV376 ) )
= $true )
| ( ( strong2129052853vative @ SV88 @ SV206 @ SV304 @ SV352 @ SV376 )
= $true )
| ( ( strong2129052853vative @ SV88 @ SV206 @ SV304 @ SV352 @ SV372 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1577]) ).
thf(1691,plain,
! [SV207: produc367475239e_name > produc367475239e_name > $o,SV305: list_P227219501e_name,SV89: ( produc367475239e_name > produc367475239e_name > $o ) > list_P227219501e_name > $o] :
( ( ( ! [SY1085: produc367475239e_name] : ( SV89 @ ( sK42_SY650 @ SV305 @ SV207 @ SV89 ) @ ( cons_P1213805021e_name @ SY1085 @ nil_Pr743626285e_name ) ) )
= $false )
| ( ( ~ ! [SY652: produc367475239e_name > produc367475239e_name > $o,SY653: produc367475239e_name,SY654: produc367475239e_name,SY655: list_P227219501e_name] :
( ~ ( SV89 @ SY652 @ ( cons_P1213805021e_name @ SY654 @ SY655 ) )
| ( SV89 @ SY652 @ ( cons_P1213805021e_name @ SY653 @ ( cons_P1213805021e_name @ SY654 @ SY655 ) ) ) )
| ( SV89 @ SV207 @ SV305 ) )
= $true )
| ( ( SV89 @ ( sK17_SY649 @ SV305 @ SV207 @ SV89 ) @ nil_Pr743626285e_name )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1578]) ).
thf(1692,plain,
! [SV353: name,SV306: late_subject,SV208: pi,SV90: pi,SV377: list_P227219501e_name,SV373: set_Pr1834926343_pi_pi] :
( ( ( ~ ( eqvt_pi @ SV373 ) )
= $true )
| ( ( strong2129052853vative @ ( perm_name_pi @ SV377 @ SV90 ) @ ( perm_name_pi @ SV377 @ SV208 ) @ SV306 @ ( perm_name_name @ SV377 @ SV353 ) @ SV373 )
= $true )
| ( ( strong2129052853vative @ SV90 @ SV208 @ SV306 @ SV353 @ SV373 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1579]) ).
thf(1693,plain,
! [SV91: list_P227219501e_name,SV209: list_P227219501e_name > $o] :
( ( ( ~ ! [SY902: produc367475239e_name,SY903: list_P227219501e_name] :
( ~ ( ( SY903 != nil_Pr743626285e_name ) )
| ~ ( SV209 @ SY903 )
| ( SV209 @ ( cons_P1213805021e_name @ SY902 @ SY903 ) ) ) )
= $true )
| ( ( SV209 @ SV91 )
= $true )
| ( ( SV209 @ ( cons_P1213805021e_name @ ( sK34_SY901 @ SV91 @ SV209 ) @ nil_Pr743626285e_name ) )
= $false )
| ( ( SV91 = nil_Pr743626285e_name )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1580]) ).
thf(1694,plain,
! [SV355: name,SV94: name,SV309: name,SV212: name] :
( ( ( fresh_name_name @ SV212 @ SV309 )
= $false )
| ( ( ~ ( fresh_name_name @ SV94 @ SV309 )
| ( fresh_name_name @ SV94 @ ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV212 @ SV355 ) @ nil_Pr743626285e_name ) @ SV309 ) ) )
= $true )
| ( ( SV94 = SV212 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1582]) ).
thf(1695,plain,
! [SV356: name,SV95: name,SV310: late_freeRes,SV213: name] :
( ( ( fresh_1641682979reeRes @ SV213 @ SV310 )
= $false )
| ( ( ~ ( fresh_1641682979reeRes @ SV95 @ SV310 )
| ( fresh_1641682979reeRes @ SV95 @ ( perm_n336613537reeRes @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV213 @ SV356 ) @ nil_Pr743626285e_name ) @ SV310 ) ) )
= $true )
| ( ( SV95 = SV213 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1583]) ).
thf(1696,plain,
! [SV96: produc1872410278e_name] :
( ( ( SV96
!= ( produc1069608854e_name @ ( sK35_SY677 @ SV96 ) @ ( cons_P1213805021e_name @ ( sK43_SY1078 @ SV96 ) @ nil_Pr743626285e_name ) ) )
= $false )
| ( ( ~ ! [SY679: produc367475239e_name > produc367475239e_name > $o,SY680: produc367475239e_name,SY681: produc367475239e_name,SY682: list_P227219501e_name] :
( SV96
!= ( produc1069608854e_name @ SY679 @ ( cons_P1213805021e_name @ SY680 @ ( cons_P1213805021e_name @ SY681 @ SY682 ) ) ) ) )
= $true )
| ( ( SV96
= ( produc1069608854e_name @ ( sK6_SY676 @ SV96 ) @ nil_Pr743626285e_name ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1584]) ).
thf(1697,plain,
! [SV214: list_P227219501e_name,SV311: list_P227219501e_name,SV97: list_P227219501e_name > list_P227219501e_name > $o] :
( ( ( SV97 @ ( sK44_SY686 @ SV311 @ SV214 @ SV97 ) @ nil_Pr743626285e_name )
= $false )
| ( ( ~ ! [SY687: produc367475239e_name,SY688: list_P227219501e_name,SY689: produc367475239e_name,SY690: list_P227219501e_name] :
( ~ ( SV97 @ SY688 @ ( cons_P1213805021e_name @ SY689 @ SY690 ) )
| ~ ( SV97 @ ( cons_P1213805021e_name @ SY687 @ SY688 ) @ SY690 )
| ( SV97 @ ( cons_P1213805021e_name @ SY687 @ SY688 ) @ ( cons_P1213805021e_name @ SY689 @ SY690 ) ) )
| ( SV97 @ SV214 @ SV311 ) )
= $true )
| ( ( SV97 @ nil_Pr743626285e_name @ ( sK18_SY685 @ SV311 @ SV214 @ SV97 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1585]) ).
thf(1698,plain,
! [SV357: name,SV98: name,SV312: pi_Rep,SV215: name] :
( ( ( fresh_name_pi_Rep @ SV215 @ SV312 )
= $false )
| ( ( ~ ( fresh_name_pi_Rep @ SV98 @ SV312 )
| ( fresh_name_pi_Rep @ SV98 @ ( perm_name_pi_Rep @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV215 @ SV357 ) @ nil_Pr743626285e_name ) @ SV312 ) ) )
= $true )
| ( ( SV98 = SV215 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1586]) ).
thf(1699,plain,
! [SV103: produc1872410278e_name] :
( ( ( SV103
!= ( produc1069608854e_name @ ( sK26_SY703 @ SV103 ) @ ( cons_P1213805021e_name @ ( sK36_SY1071 @ SV103 ) @ ( sK45_SY1079 @ SV103 ) ) ) )
= $false )
| ( ( SV103
= ( produc1069608854e_name @ ( sK7_SY702 @ SV103 ) @ nil_Pr743626285e_name ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1588]) ).
thf(1700,plain,
! [SV220: list_P227219501e_name,SV104: list_P227219501e_name > $o] :
( ( ( ~ ( SV104 @ ( sK37_SY1073 @ SV220 @ SV104 ) ) )
= $false )
| ( ( SV104 @ SV220 )
= $true )
| ( ( SV104 @ nil_Pr743626285e_name )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1589]) ).
thf(1701,plain,
! [SV220: list_P227219501e_name,SV104: list_P227219501e_name > $o] :
( ( ( SV104 @ ( cons_P1213805021e_name @ ( sK27_SY707 @ SV220 @ SV104 ) @ ( sK37_SY1073 @ SV220 @ SV104 ) ) )
= $false )
| ( ( SV104 @ SV220 )
= $true )
| ( ( SV104 @ nil_Pr743626285e_name )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1589]) ).
thf(1702,plain,
! [SV359: pi,SV316: pi,SV221: $o,SV105: list_P227219501e_name] :
( ( ( perm_name_o @ SV105 @ SV221 )
= $false )
| ( ( ( perm_name_pi @ SV105 @ ( if_pi @ SV221 @ SV316 @ SV359 ) )
= ( perm_name_pi @ SV105 @ SV316 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1590]) ).
thf(1703,plain,
! [SV359: pi,SV316: pi,SV221: $o,SV105: list_P227219501e_name] :
( ( ( ~ ( perm_name_o @ SV105 @ SV221 ) )
= $false )
| ( ( ( perm_name_pi @ SV105 @ ( if_pi @ SV221 @ SV316 @ SV359 ) )
= ( perm_name_pi @ SV105 @ SV359 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1591]) ).
thf(1704,plain,
! [SV360: pi,SV317: pi,SV105: list_P227219501e_name] :
( ( ( perm_name_o @ SV105 @ $true )
= $false )
| ( ( ( perm_name_pi @ SV105 @ ( if_pi @ $true @ SV317 @ SV360 ) )
= ( perm_name_pi @ SV105 @ SV317 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1592]) ).
thf(1705,plain,
! [SV360: pi,SV317: pi,SV105: list_P227219501e_name] :
( ( ( ~ ( perm_name_o @ SV105 @ $true ) )
= $false )
| ( ( ( perm_name_pi @ SV105 @ ( if_pi @ $true @ SV317 @ SV360 ) )
= ( perm_name_pi @ SV105 @ SV360 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1593]) ).
thf(1706,plain,
! [SV361: pi,SV318: pi,SV105: list_P227219501e_name] :
( ( ( perm_name_o @ SV105 @ $false )
= $false )
| ( ( ( perm_name_pi @ SV105 @ ( if_pi @ $false @ SV318 @ SV361 ) )
= ( perm_name_pi @ SV105 @ SV318 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1594]) ).
thf(1707,plain,
! [SV361: pi,SV318: pi,SV105: list_P227219501e_name] :
( ( ( ~ ( perm_name_o @ SV105 @ $false ) )
= $false )
| ( ( ( perm_name_pi @ SV105 @ ( if_pi @ $false @ SV318 @ SV361 ) )
= ( perm_name_pi @ SV105 @ SV361 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1595]) ).
thf(1708,plain,
! [SV109: list_P227219501e_name] :
( ( ( SV109 != nil_Pr743626285e_name )
= $true )
| ( ( SV109 = nil_Pr743626285e_name )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1596]) ).
thf(1709,plain,
! [SV109: list_P227219501e_name] :
( ( ( ~ ! [SY717: produc367475239e_name] :
~ ~ ! [SY718: list_P227219501e_name] :
( SV109
!= ( cons_P1213805021e_name @ SY717 @ SY718 ) ) )
= $true )
| ( ( SV109 = nil_Pr743626285e_name )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1597]) ).
thf(1710,plain,
! [SV379: produc367475239e_name,SV109: list_P227219501e_name] :
( ( ( ! [SY1074: list_P227219501e_name] :
( SV109
!= ( cons_P1213805021e_name @ SV379 @ SY1074 ) ) )
= $true )
| ( ( ~ ( ~ ( ( SV109 != nil_Pr743626285e_name ) )
| ~ ~ ! [SY717: produc367475239e_name] :
~ ~ ! [SY718: list_P227219501e_name] :
( SV109
!= ( cons_P1213805021e_name @ SY717 @ SY718 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1598]) ).
thf(1711,plain,
! [SV230: list_P227219501e_name,SV117: list_P227219501e_name > $o] :
( ( ( ! [SY737: produc367475239e_name,SY738: produc367475239e_name,SY739: list_P227219501e_name] :
( ~ ( SV117 @ SY739 )
| ~ ( SV117 @ ( cons_P1213805021e_name @ SY738 @ SY739 ) )
| ( SV117 @ ( cons_P1213805021e_name @ SY737 @ ( cons_P1213805021e_name @ SY738 @ SY739 ) ) ) ) )
= $false )
| ( ( SV117 @ SV230 )
= $true )
| ( ( SV117 @ ( cons_P1213805021e_name @ ( sK28_SY736 @ SV230 @ SV117 ) @ nil_Pr743626285e_name ) )
= $false )
| ( ( SV117 @ nil_Pr743626285e_name )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1599]) ).
thf(1712,plain,
! [SV118: produc890461031e_name] :
( ( ( SV118
!= ( produc208131031e_name @ ( cons_P1213805021e_name @ ( sK29_SY741 @ SV118 ) @ ( sK38_SY1075 @ SV118 ) ) @ ( sK46_SY1080 @ SV118 ) ) )
= $false )
| ( ( SV118
= ( produc208131031e_name @ nil_Pr743626285e_name @ ( sK8_SY740 @ SV118 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1600]) ).
thf(1713,plain,
! [SV364: name,SV327: name,SV231: name,SV119: name] :
( ( ( ( ( produc1570949143e_name @ SV119 @ SV231 )
!= ( produc1570949143e_name @ SV327 @ SV364 ) )
| ~ ~ ( ( SV119 != SV327 )
| ( SV231 != SV364 ) ) )
= $false )
| ( ( ( produc1570949143e_name @ SV119 @ SV231 )
= ( produc1570949143e_name @ SV327 @ SV364 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1601]) ).
thf(1714,plain,
! [SV364: name,SV231: name,SV327: name,SV119: name] :
( ( ( ( SV119 != SV327 )
| ( SV231 != SV364 ) )
= $true )
| ( ( ~ ( ( ( produc1570949143e_name @ SV119 @ SV231 )
!= ( produc1570949143e_name @ SV327 @ SV364 ) )
| ~ ~ ( ( SV119 != SV327 )
| ( SV231 != SV364 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1602]) ).
thf(1715,plain,
! [SV365: name,SV329: late_subject,SV233: pi,SV121: pi,SV378: list_P227219501e_name,SV374: set_Pr1834926343_pi_pi] :
( ( ( ~ ( eqvt_pi @ SV374 ) )
= $true )
| ( ( strong2129052853vative @ ( perm_name_pi @ SV378 @ SV121 ) @ ( perm_name_pi @ SV378 @ SV233 ) @ ( perm_n1559866809ubject @ SV378 @ SV329 ) @ ( perm_name_name @ SV378 @ SV365 ) @ SV374 )
= $true )
| ( ( strong2129052853vative @ SV121 @ SV233 @ SV329 @ SV365 @ SV374 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1603]) ).
thf(1716,plain,
! [SV235: list_P227219501e_name,SV123: list_P227219501e_name > $o] :
( ( ( ! [SY759: produc367475239e_name,SY760: produc367475239e_name,SY761: list_P227219501e_name] :
( ~ ( ( SY759 != SY760 )
| ( SV123 @ ( cons_P1213805021e_name @ SY759 @ SY761 ) ) )
| ~ ( ~ ( ( SY759 != SY760 ) )
| ( SV123 @ ( cons_P1213805021e_name @ SY760 @ SY761 ) ) )
| ( SV123 @ ( cons_P1213805021e_name @ SY759 @ ( cons_P1213805021e_name @ SY760 @ SY761 ) ) ) ) )
= $false )
| ( ( SV123 @ SV235 )
= $true )
| ( ( SV123 @ ( cons_P1213805021e_name @ ( sK30_SY758 @ SV235 @ SV123 ) @ nil_Pr743626285e_name ) )
= $false )
| ( ( SV123 @ nil_Pr743626285e_name )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1604]) ).
thf(1717,plain,
! [SV366: list_P227219501e_name,SV333: produc367475239e_name,SV240: list_P227219501e_name,SV128: produc367475239e_name] :
( ( ( ( ( cons_P1213805021e_name @ SV128 @ SV240 )
!= ( cons_P1213805021e_name @ SV333 @ SV366 ) )
| ~ ~ ( ( SV128 != SV333 )
| ( SV240 != SV366 ) ) )
= $false )
| ( ( ( cons_P1213805021e_name @ SV128 @ SV240 )
= ( cons_P1213805021e_name @ SV333 @ SV366 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1605]) ).
thf(1718,plain,
! [SV366: list_P227219501e_name,SV240: list_P227219501e_name,SV333: produc367475239e_name,SV128: produc367475239e_name] :
( ( ( ( SV128 != SV333 )
| ( SV240 != SV366 ) )
= $true )
| ( ( ~ ( ( ( cons_P1213805021e_name @ SV128 @ SV240 )
!= ( cons_P1213805021e_name @ SV333 @ SV366 ) )
| ~ ~ ( ( SV128 != SV333 )
| ( SV240 != SV366 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1606]) ).
thf(1719,plain,
! [SV369: name,SV132: name,SV337: produc1141751126_pi_pi,SV244: name] :
( ( ( fresh_1376661020_pi_pi @ SV244 @ SV337 )
= $false )
| ( ( ~ ( fresh_1376661020_pi_pi @ SV132 @ SV337 )
| ( fresh_1376661020_pi_pi @ SV132 @ ( perm_n1255502110_pi_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV244 @ SV369 ) @ nil_Pr743626285e_name ) @ SV337 ) ) )
= $true )
| ( ( SV132 = SV244 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1608]) ).
thf(1720,plain,
! [SV267: pi,SV163: name,SV38: list_P227219501e_name] :
( ( ( perm_name_o @ SV38 @ ( fresh_name_pi @ SV163 @ SV267 ) )
= $true )
| ( ( perm_name_o @ SV38 @ ( fresh_name_pi @ SV163 @ SV267 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1617]) ).
thf(1721,plain,
! [SV267: pi,SV163: name,SV38: list_P227219501e_name] :
( ( ( fresh_name_pi @ ( perm_name_name @ SV38 @ SV163 ) @ ( perm_name_pi @ SV38 @ SV267 ) )
= $true )
| ( ( perm_name_o @ SV38 @ ( fresh_name_pi @ SV163 @ SV267 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1618]) ).
thf(1722,plain,
! [SV267: pi,SV163: name,SV38: list_P227219501e_name] :
( ( ( perm_name_o @ SV38 @ ( fresh_name_pi @ SV163 @ SV267 ) )
= $true )
| ( ( fresh_name_pi @ ( perm_name_name @ SV38 @ SV163 ) @ ( perm_name_pi @ SV38 @ SV267 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1619]) ).
thf(1723,plain,
! [SV267: pi,SV163: name,SV38: list_P227219501e_name] :
( ( ( fresh_name_pi @ ( perm_name_name @ SV38 @ SV163 ) @ ( perm_name_pi @ SV38 @ SV267 ) )
= $true )
| ( ( fresh_name_pi @ ( perm_name_name @ SV38 @ SV163 ) @ ( perm_name_pi @ SV38 @ SV267 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1620]) ).
thf(1724,plain,
! [SV268: pi,SV164: name,SV39: list_P227219501e_name] :
( ( ( fresh_name_pi @ ( perm_name_name @ SV39 @ SV164 ) @ ( perm_name_pi @ SV39 @ SV268 ) )
= $true )
| ( ( fresh_name_pi @ ( perm_name_name @ SV39 @ SV164 ) @ ( perm_name_pi @ SV39 @ SV268 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1621]) ).
thf(1725,plain,
! [SV39: list_P227219501e_name,SV268: pi,SV164: name] :
( ( ( fresh_name_pi @ SV164 @ SV268 )
= $true )
| ( ( fresh_name_pi @ ( perm_name_name @ SV39 @ SV164 ) @ ( perm_name_pi @ SV39 @ SV268 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1622]) ).
thf(1726,plain,
! [SV268: pi,SV164: name,SV39: list_P227219501e_name] :
( ( ( fresh_name_pi @ ( perm_name_name @ SV39 @ SV164 ) @ ( perm_name_pi @ SV39 @ SV268 ) )
= $true )
| ( ( fresh_name_pi @ SV164 @ SV268 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1623]) ).
thf(1727,plain,
! [SV268: pi,SV164: name] :
( ( ( fresh_name_pi @ SV164 @ SV268 )
= $true )
| ( ( fresh_name_pi @ SV164 @ SV268 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1624]) ).
thf(1728,plain,
! [SV272: pi,SV170: pi,SV46: list_P227219501e_name] :
( ( ( ( perm_name_pi @ SV46 @ SV170 )
= ( perm_name_pi @ SV46 @ SV272 ) )
= $true )
| ( ( ( perm_name_pi @ SV46 @ SV170 )
= ( perm_name_pi @ SV46 @ SV272 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1625]) ).
thf(1729,plain,
! [SV46: list_P227219501e_name,SV272: pi,SV170: pi] :
( ( ( SV170 = SV272 )
= $true )
| ( ( ( perm_name_pi @ SV46 @ SV170 )
= ( perm_name_pi @ SV46 @ SV272 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1626]) ).
thf(1730,plain,
! [SV272: pi,SV170: pi,SV46: list_P227219501e_name] :
( ( ( ( perm_name_pi @ SV46 @ SV170 )
= ( perm_name_pi @ SV46 @ SV272 ) )
= $true )
| ( ( SV170 = SV272 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1627]) ).
thf(1731,plain,
! [SV272: pi,SV170: pi] :
( ( ( SV170 = SV272 )
= $true )
| ( ( SV170 = SV272 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1628]) ).
thf(1732,plain,
! [SV275: set_pi,SV173: pi,SV49: list_P227219501e_name] :
( ( ( perm_name_o @ SV49 @ ( member_pi @ SV173 @ SV275 ) )
= $true )
| ( ( perm_name_o @ SV49 @ ( member_pi @ SV173 @ SV275 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1629]) ).
thf(1733,plain,
! [SV275: set_pi,SV173: pi,SV49: list_P227219501e_name] :
( ( ( member_pi @ ( perm_name_pi @ SV49 @ SV173 ) @ ( perm_name_set_pi @ SV49 @ SV275 ) )
= $true )
| ( ( perm_name_o @ SV49 @ ( member_pi @ SV173 @ SV275 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1630]) ).
thf(1734,plain,
! [SV275: set_pi,SV173: pi,SV49: list_P227219501e_name] :
( ( ( perm_name_o @ SV49 @ ( member_pi @ SV173 @ SV275 ) )
= $true )
| ( ( member_pi @ ( perm_name_pi @ SV49 @ SV173 ) @ ( perm_name_set_pi @ SV49 @ SV275 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1631]) ).
thf(1735,plain,
! [SV275: set_pi,SV173: pi,SV49: list_P227219501e_name] :
( ( ( member_pi @ ( perm_name_pi @ SV49 @ SV173 ) @ ( perm_name_set_pi @ SV49 @ SV275 ) )
= $true )
| ( ( member_pi @ ( perm_name_pi @ SV49 @ SV173 ) @ ( perm_name_set_pi @ SV49 @ SV275 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1632]) ).
thf(1736,plain,
! [SV276: pi,SV174: pi,SV50: list_P227219501e_name] :
( ( ( perm_name_o @ SV50 @ ( SV174 = SV276 ) )
= $true )
| ( ( perm_name_o @ SV50 @ ( SV174 = SV276 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1633]) ).
thf(1737,plain,
! [SV276: pi,SV174: pi,SV50: list_P227219501e_name] :
( ( ( ( perm_name_pi @ SV50 @ SV174 )
= ( perm_name_pi @ SV50 @ SV276 ) )
= $true )
| ( ( perm_name_o @ SV50 @ ( SV174 = SV276 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1634]) ).
thf(1738,plain,
! [SV276: pi,SV174: pi,SV50: list_P227219501e_name] :
( ( ( perm_name_o @ SV50 @ ( SV174 = SV276 ) )
= $true )
| ( ( ( perm_name_pi @ SV50 @ SV174 )
= ( perm_name_pi @ SV50 @ SV276 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1635]) ).
thf(1739,plain,
! [SV276: pi,SV174: pi,SV50: list_P227219501e_name] :
( ( ( ( perm_name_pi @ SV50 @ SV174 )
= ( perm_name_pi @ SV50 @ SV276 ) )
= $true )
| ( ( ( perm_name_pi @ SV50 @ SV174 )
= ( perm_name_pi @ SV50 @ SV276 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1636]) ).
thf(1740,plain,
! [SV63: $o] :
( ( ( ~ ( SV63
| $false )
| ~ ( ~ SV63
| ~ $false ) )
= $true )
| ( SV63 = $false )
| ( SV63 = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1645]) ).
thf(1741,plain,
! [SV63: $o] :
( ( ( SV63 = $false )
= $true )
| ( SV63 = $false )
| ( SV63 = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1645]) ).
thf(1742,plain,
! [SV63: $o] :
( ( ( ~ ( SV63
| $false )
| ~ ( ~ SV63
| ~ $false ) )
= $true )
| ( SV63 = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1646]) ).
thf(1743,plain,
! [SV63: $o] :
( ( ( SV63 = $false )
= $true )
| ( SV63 = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1646]) ).
thf(1744,plain,
! [SV63: $o] :
( ( ( ~ ( SV63
| $false )
| ~ ( ~ SV63
| ~ $false ) )
= $true )
| ( $true = $false )
| ( SV63 = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1647]) ).
thf(1745,plain,
! [SV63: $o] :
( ( ( SV63 = $false )
= $true )
| ( $true = $false )
| ( SV63 = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1647]) ).
thf(1746,plain,
! [SV63: $o] :
( ( ( ~ ( SV63
| $false )
| ~ ( ~ SV63
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1648]) ).
thf(1747,plain,
! [SV63: $o] :
( ( ( SV63 = $false )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1648]) ).
thf(1748,plain,
! [SV63: $o] :
( ( SV63 = $true )
| ( SV63 = $false )
| ( ( SV63 = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1649]) ).
thf(1749,plain,
! [SV63: $o] :
( ( $false = $true )
| ( SV63 = $false )
| ( ( SV63 = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1650]) ).
thf(1750,plain,
! [SV63: $o] :
( ( SV63 = $true )
| ( $false = $false )
| ( ( SV63 = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1651]) ).
thf(1751,plain,
! [SV63: $o] :
( ( $false = $true )
| ( $false = $false )
| ( ( SV63 = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1652]) ).
thf(1752,plain,
( ( ( ~ ( $true
| $false )
| ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1653]) ).
thf(1753,plain,
( ( ( $true = $false )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1653]) ).
thf(1754,plain,
( ( ( ~ ( $true
| $false )
| ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1654]) ).
thf(1755,plain,
( ( ( $true = $false )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1654]) ).
thf(1756,plain,
( ( ( ~ ( $true
| $false )
| ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1655]) ).
thf(1757,plain,
( ( ( $true = $false )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1655]) ).
thf(1758,plain,
( ( ( ~ ( $true
| $false )
| ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1656]) ).
thf(1759,plain,
( ( ( $true = $false )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1656]) ).
thf(1760,plain,
( ( $true = $true )
| ( $true = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1657]) ).
thf(1761,plain,
( ( $false = $true )
| ( $true = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1658]) ).
thf(1762,plain,
( ( $true = $true )
| ( $false = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1659]) ).
thf(1763,plain,
( ( $false = $true )
| ( $false = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1660]) ).
thf(1764,plain,
( ( ( ~ ( $false
| $false )
| ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1661]) ).
thf(1765,plain,
( ( ( $false = $false )
= $true )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1661]) ).
thf(1766,plain,
( ( ( ~ ( $false
| $false )
| ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1662]) ).
thf(1767,plain,
( ( ( $false = $false )
= $true )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1662]) ).
thf(1768,plain,
( ( ( ~ ( $false
| $false )
| ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1663]) ).
thf(1769,plain,
( ( ( $false = $false )
= $true )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1663]) ).
thf(1770,plain,
( ( ( ~ ( $false
| $false )
| ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1664]) ).
thf(1771,plain,
( ( ( $false = $false )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1664]) ).
thf(1772,plain,
( ( $false = $true )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1665]) ).
thf(1773,plain,
( ( $false = $true )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1666]) ).
thf(1774,plain,
( ( $false = $true )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1667]) ).
thf(1775,plain,
( ( $false = $true )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1668]) ).
thf(1776,plain,
! [SV286: list_P227219501e_name,SV186: list_P227219501e_name,SV64: list_P227219501e_name > list_P227219501e_name > $o] :
( ( ( ! [SY1086: list_P227219501e_name] :
( ~ ( SV64 @ SY1086 @ ( sK47_SY1081 @ SV186 @ SV286 @ SV64 ) )
| ( SV64 @ ( cons_P1213805021e_name @ ( sK39_SY559 @ SV286 @ SV186 @ SV64 ) @ ( sK47_SY1081 @ SV186 @ SV286 @ SV64 ) ) @ SY1086 ) ) )
= $false )
| ( ( SV64 @ SV186 @ SV286 )
= $true )
| ( ( SV64 @ nil_Pr743626285e_name @ ( sK13_SY558 @ SV286 @ SV186 @ SV64 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1669]) ).
thf(1777,plain,
! [SV287: list_P227219501e_name,SV187: list_P227219501e_name,SV65: list_P227219501e_name > list_P227219501e_name > $o] :
( ( ( ~ ! [SY566: produc367475239e_name,SY567: list_P227219501e_name] : ( SV65 @ nil_Pr743626285e_name @ ( cons_P1213805021e_name @ SY566 @ SY567 ) ) )
= $true )
| ( ( ~ ! [SY568: produc367475239e_name,SY569: list_P227219501e_name,SY570: produc367475239e_name,SY571: list_P227219501e_name] :
( ~ ( SV65 @ SY569 @ SY571 )
| ( SV65 @ ( cons_P1213805021e_name @ SY568 @ SY569 ) @ ( cons_P1213805021e_name @ SY570 @ SY571 ) ) )
| ( SV65 @ SV187 @ SV287 ) )
= $true )
| ( ( SV65 @ ( cons_P1213805021e_name @ ( sK31_SY564 @ SV287 @ SV187 @ SV65 ) @ ( sK40_SY1077 @ SV187 @ SV287 @ SV65 ) ) @ nil_Pr743626285e_name )
= $false )
| ( ( SV65 @ nil_Pr743626285e_name @ nil_Pr743626285e_name )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1670]) ).
thf(1778,plain,
! [SV189: set_Pr1834926343_pi_pi,SV289: pi,SV67: pi,SV371: list_P227219501e_name,SV342: set_Pr1834926343_pi_pi] :
( ( ( ~ ( eqvt_pi @ SV342 ) )
= $true )
| ( ( strong743114133lation @ ( perm_name_pi @ SV371 @ SV67 ) @ SV342 @ ( perm_name_pi @ SV371 @ SV289 ) )
= $true )
| ( ( ord_le630093991_pi_pi @ SV189 @ SV342 )
= $false )
| ( ( strong743114133lation @ SV67 @ SV189 @ SV289 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1671]) ).
thf(1779,plain,
! [SV69: list_P227219501e_name] :
( ( ( ! [SY1087: produc367475239e_name,SY1088: list_P227219501e_name] :
( SV69
!= ( cons_P1213805021e_name @ ( sK48_SY581 @ SV69 ) @ ( cons_P1213805021e_name @ SY1087 @ SY1088 ) ) ) )
= $false )
| ( ( SV69
= ( cons_P1213805021e_name @ ( sK22_SY580 @ SV69 ) @ nil_Pr743626285e_name ) )
= $true )
| ( ( SV69 = nil_Pr743626285e_name )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1672]) ).
thf(1780,plain,
! [SV191: produc367475239e_name > produc367475239e_name > $o,SV291: list_P227219501e_name,SV70: ( produc367475239e_name > produc367475239e_name > $o ) > list_P227219501e_name > $o] :
( ( ( ! [SY1089: list_P227219501e_name] :
( ~ ( SV70 @ ( sK41_SY587 @ SV291 @ SV191 @ SV70 ) @ SY1089 )
| ( SV70 @ ( sK41_SY587 @ SV291 @ SV191 @ SV70 ) @ ( cons_P1213805021e_name @ ( sK49_SY1083 @ SV191 @ SV291 @ SV70 ) @ SY1089 ) ) ) )
= $false )
| ( ( SV70 @ SV191 @ SV291 )
= $true )
| ( ( SV70 @ ( sK14_SY586 @ SV291 @ SV191 @ SV70 ) @ nil_Pr743626285e_name )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1673]) ).
thf(1781,plain,
! [SV343: list_P227219501e_name,SV292: list_P227219501e_name,SV192: produc367475239e_name > produc367475239e_name,SV71: ( produc367475239e_name > produc367475239e_name ) > list_P227219501e_name > list_P227219501e_name > $o] :
( ( ( ! [SY595: produc367475239e_name > produc367475239e_name,SY596: produc367475239e_name,SY597: list_P227219501e_name,SY598: list_P227219501e_name] :
( ~ ( SV71 @ SY595 @ SY597 @ ( cons_P1213805021e_name @ ( SY595 @ SY596 ) @ SY598 ) )
| ( SV71 @ SY595 @ ( cons_P1213805021e_name @ SY596 @ SY597 ) @ SY598 ) ) )
= $false )
| ( ( SV71 @ SV192 @ SV292 @ SV343 )
= $true )
| ( ( SV71 @ ( sK23_SY593 @ SV343 @ SV292 @ SV192 @ SV71 ) @ nil_Pr743626285e_name @ ( sK32_SY1070 @ SV192 @ SV292 @ SV343 @ SV71 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1674]) ).
thf(1782,plain,
! [SV72: list_l1406151091e_name] :
( ( ( ! [SY1090: list_P227219501e_name,SY1091: list_l1406151091e_name] :
( SV72
!= ( cons_l798145763e_name @ ( cons_P1213805021e_name @ ( sK50_SY600 @ SV72 ) @ SY1090 ) @ SY1091 ) ) )
= $false )
| ( ( SV72
= ( cons_l798145763e_name @ nil_Pr743626285e_name @ ( sK24_SY599 @ SV72 ) ) )
= $true )
| ( ( SV72 = nil_li29751603e_name )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1675]) ).
thf(1783,plain,
! [SV344: pi,SV293: pi,SV193: list_P227219501e_name,SV74: $o] :
( ( SV74 = $true )
| ( ( ( perm_name_pi @ SV193 @ ( if_pi @ SV74 @ SV293 @ SV344 ) )
= ( perm_name_pi @ SV193 @ SV344 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1677]) ).
thf(1784,plain,
! [SV345: pi,SV294: pi,SV194: list_P227219501e_name] :
( ( $true = $true )
| ( ( ( perm_name_pi @ SV194 @ ( if_pi @ $true @ SV294 @ SV345 ) )
= ( perm_name_pi @ SV194 @ SV345 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1679]) ).
thf(1785,plain,
! [SV346: pi,SV295: pi,SV195: list_P227219501e_name] :
( ( $false = $true )
| ( ( ( perm_name_pi @ SV195 @ ( if_pi @ $false @ SV295 @ SV346 ) )
= ( perm_name_pi @ SV195 @ SV346 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1681]) ).
thf(1786,plain,
! [SV347: name,SV297: name,SV197: name,SV76: name] :
( ( ( ( produc1570949143e_name @ SV76 @ SV197 )
!= ( produc1570949143e_name @ SV297 @ SV347 ) )
= $false )
| ( ( ( produc1570949143e_name @ SV76 @ SV197 )
= ( produc1570949143e_name @ SV297 @ SV347 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1682]) ).
thf(1787,plain,
! [SV347: name,SV197: name,SV297: name,SV76: name] :
( ( ( ~ ~ ( ( SV76 != SV297 )
| ( SV197 != SV347 ) ) )
= $false )
| ( ( ( produc1570949143e_name @ SV76 @ SV197 )
= ( produc1570949143e_name @ SV297 @ SV347 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1682]) ).
thf(1788,plain,
! [SV347: name,SV197: name,SV297: name,SV76: name] :
( ( ( SV76 != SV297 )
= $true )
| ( ( SV197 != SV347 )
= $true )
| ( ( ~ ( ( ( produc1570949143e_name @ SV76 @ SV197 )
!= ( produc1570949143e_name @ SV297 @ SV347 ) )
| ~ ~ ( ( SV76 != SV297 )
| ( SV197 != SV347 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1683]) ).
thf(1789,plain,
! [SV79: produc890461031e_name] :
( ( ( ! [SY621: produc367475239e_name,SY622: list_P227219501e_name,SY623: produc367475239e_name,SY624: list_P227219501e_name] :
( SV79
!= ( produc208131031e_name @ ( cons_P1213805021e_name @ SY621 @ SY622 ) @ ( cons_P1213805021e_name @ SY623 @ SY624 ) ) ) )
= $false )
| ( ( SV79
= ( produc208131031e_name @ ( sK33_SY620 @ SV79 ) @ nil_Pr743626285e_name ) )
= $true )
| ( ( SV79
= ( produc208131031e_name @ nil_Pr743626285e_name @ ( sK4_SY619 @ SV79 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1686]) ).
thf(1790,plain,
! [SV350: name,SV201: name,SV300: late_subject,SV81: name] :
( ( ( ~ ( fresh_717452603ubject @ SV81 @ SV300 ) )
= $true )
| ( ( fresh_717452603ubject @ SV81 @ ( perm_n1559866809ubject @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV201 @ SV350 ) @ nil_Pr743626285e_name ) @ SV300 ) )
= $true )
| ( ( fresh_717452603ubject @ SV201 @ SV300 )
= $false )
| ( ( SV81 = SV201 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1687]) ).
thf(1791,plain,
! [SV351: name,SV203: name,SV301: pi,SV83: name] :
( ( ( ~ ( fresh_name_pi @ SV83 @ SV301 ) )
= $true )
| ( ( fresh_name_pi @ SV83 @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV203 @ SV351 ) @ nil_Pr743626285e_name ) @ SV301 ) )
= $true )
| ( ( fresh_name_pi @ SV203 @ SV301 )
= $false )
| ( ( SV83 = SV203 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1688]) ).
thf(1792,plain,
! [SV352: name,SV304: late_subject,SV206: pi,SV88: pi,SV376: set_Pr1834926343_pi_pi,SV372: set_Pr1834926343_pi_pi] :
( ( ( ord_le630093991_pi_pi @ SV372 @ SV376 )
= $false )
| ( ( strong2129052853vative @ SV88 @ SV206 @ SV304 @ SV352 @ SV376 )
= $true )
| ( ( strong2129052853vative @ SV88 @ SV206 @ SV304 @ SV352 @ SV372 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1690]) ).
thf(1793,plain,
! [SV207: produc367475239e_name > produc367475239e_name > $o,SV305: list_P227219501e_name,SV89: ( produc367475239e_name > produc367475239e_name > $o ) > list_P227219501e_name > $o] :
( ( ( SV89 @ ( sK42_SY650 @ SV305 @ SV207 @ SV89 ) @ ( cons_P1213805021e_name @ ( sK51_SY1085 @ SV207 @ SV305 @ SV89 ) @ nil_Pr743626285e_name ) )
= $false )
| ( ( ~ ! [SY652: produc367475239e_name > produc367475239e_name > $o,SY653: produc367475239e_name,SY654: produc367475239e_name,SY655: list_P227219501e_name] :
( ~ ( SV89 @ SY652 @ ( cons_P1213805021e_name @ SY654 @ SY655 ) )
| ( SV89 @ SY652 @ ( cons_P1213805021e_name @ SY653 @ ( cons_P1213805021e_name @ SY654 @ SY655 ) ) ) )
| ( SV89 @ SV207 @ SV305 ) )
= $true )
| ( ( SV89 @ ( sK17_SY649 @ SV305 @ SV207 @ SV89 ) @ nil_Pr743626285e_name )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1691]) ).
thf(1794,plain,
! [SV353: name,SV306: late_subject,SV208: pi,SV90: pi,SV377: list_P227219501e_name,SV373: set_Pr1834926343_pi_pi] :
( ( ( eqvt_pi @ SV373 )
= $false )
| ( ( strong2129052853vative @ ( perm_name_pi @ SV377 @ SV90 ) @ ( perm_name_pi @ SV377 @ SV208 ) @ SV306 @ ( perm_name_name @ SV377 @ SV353 ) @ SV373 )
= $true )
| ( ( strong2129052853vative @ SV90 @ SV208 @ SV306 @ SV353 @ SV373 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1692]) ).
thf(1795,plain,
! [SV91: list_P227219501e_name,SV209: list_P227219501e_name > $o] :
( ( ( ! [SY902: produc367475239e_name,SY903: list_P227219501e_name] :
( ~ ( ( SY903 != nil_Pr743626285e_name ) )
| ~ ( SV209 @ SY903 )
| ( SV209 @ ( cons_P1213805021e_name @ SY902 @ SY903 ) ) ) )
= $false )
| ( ( SV209 @ SV91 )
= $true )
| ( ( SV209 @ ( cons_P1213805021e_name @ ( sK34_SY901 @ SV91 @ SV209 ) @ nil_Pr743626285e_name ) )
= $false )
| ( ( SV91 = nil_Pr743626285e_name )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1693]) ).
thf(1796,plain,
! [SV355: name,SV212: name,SV309: name,SV94: name] :
( ( ( ~ ( fresh_name_name @ SV94 @ SV309 ) )
= $true )
| ( ( fresh_name_name @ SV94 @ ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV212 @ SV355 ) @ nil_Pr743626285e_name ) @ SV309 ) )
= $true )
| ( ( fresh_name_name @ SV212 @ SV309 )
= $false )
| ( ( SV94 = SV212 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1694]) ).
thf(1797,plain,
! [SV356: name,SV213: name,SV310: late_freeRes,SV95: name] :
( ( ( ~ ( fresh_1641682979reeRes @ SV95 @ SV310 ) )
= $true )
| ( ( fresh_1641682979reeRes @ SV95 @ ( perm_n336613537reeRes @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV213 @ SV356 ) @ nil_Pr743626285e_name ) @ SV310 ) )
= $true )
| ( ( fresh_1641682979reeRes @ SV213 @ SV310 )
= $false )
| ( ( SV95 = SV213 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1695]) ).
thf(1798,plain,
! [SV96: produc1872410278e_name] :
( ( ( SV96
= ( produc1069608854e_name @ ( sK35_SY677 @ SV96 ) @ ( cons_P1213805021e_name @ ( sK43_SY1078 @ SV96 ) @ nil_Pr743626285e_name ) ) )
= $true )
| ( ( ~ ! [SY679: produc367475239e_name > produc367475239e_name > $o,SY680: produc367475239e_name,SY681: produc367475239e_name,SY682: list_P227219501e_name] :
( SV96
!= ( produc1069608854e_name @ SY679 @ ( cons_P1213805021e_name @ SY680 @ ( cons_P1213805021e_name @ SY681 @ SY682 ) ) ) ) )
= $true )
| ( ( SV96
= ( produc1069608854e_name @ ( sK6_SY676 @ SV96 ) @ nil_Pr743626285e_name ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1696]) ).
thf(1799,plain,
! [SV311: list_P227219501e_name,SV214: list_P227219501e_name,SV97: list_P227219501e_name > list_P227219501e_name > $o] :
( ( ( ~ ! [SY687: produc367475239e_name,SY688: list_P227219501e_name,SY689: produc367475239e_name,SY690: list_P227219501e_name] :
( ~ ( SV97 @ SY688 @ ( cons_P1213805021e_name @ SY689 @ SY690 ) )
| ~ ( SV97 @ ( cons_P1213805021e_name @ SY687 @ SY688 ) @ SY690 )
| ( SV97 @ ( cons_P1213805021e_name @ SY687 @ SY688 ) @ ( cons_P1213805021e_name @ SY689 @ SY690 ) ) ) )
= $true )
| ( ( SV97 @ SV214 @ SV311 )
= $true )
| ( ( SV97 @ ( sK44_SY686 @ SV311 @ SV214 @ SV97 ) @ nil_Pr743626285e_name )
= $false )
| ( ( SV97 @ nil_Pr743626285e_name @ ( sK18_SY685 @ SV311 @ SV214 @ SV97 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1697]) ).
thf(1800,plain,
! [SV357: name,SV215: name,SV312: pi_Rep,SV98: name] :
( ( ( ~ ( fresh_name_pi_Rep @ SV98 @ SV312 ) )
= $true )
| ( ( fresh_name_pi_Rep @ SV98 @ ( perm_name_pi_Rep @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV215 @ SV357 ) @ nil_Pr743626285e_name ) @ SV312 ) )
= $true )
| ( ( fresh_name_pi_Rep @ SV215 @ SV312 )
= $false )
| ( ( SV98 = SV215 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1698]) ).
thf(1801,plain,
! [SV103: produc1872410278e_name] :
( ( ( SV103
= ( produc1069608854e_name @ ( sK26_SY703 @ SV103 ) @ ( cons_P1213805021e_name @ ( sK36_SY1071 @ SV103 ) @ ( sK45_SY1079 @ SV103 ) ) ) )
= $true )
| ( ( SV103
= ( produc1069608854e_name @ ( sK7_SY702 @ SV103 ) @ nil_Pr743626285e_name ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1699]) ).
thf(1802,plain,
! [SV220: list_P227219501e_name,SV104: list_P227219501e_name > $o] :
( ( ( SV104 @ ( sK37_SY1073 @ SV220 @ SV104 ) )
= $true )
| ( ( SV104 @ SV220 )
= $true )
| ( ( SV104 @ nil_Pr743626285e_name )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1700]) ).
thf(1803,plain,
! [SV359: pi,SV316: pi,SV221: $o,SV105: list_P227219501e_name] :
( ( ( perm_name_o @ SV105 @ SV221 )
= $true )
| ( ( ( perm_name_pi @ SV105 @ ( if_pi @ SV221 @ SV316 @ SV359 ) )
= ( perm_name_pi @ SV105 @ SV359 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1703]) ).
thf(1804,plain,
! [SV360: pi,SV317: pi,SV105: list_P227219501e_name] :
( ( ( perm_name_o @ SV105 @ $true )
= $true )
| ( ( ( perm_name_pi @ SV105 @ ( if_pi @ $true @ SV317 @ SV360 ) )
= ( perm_name_pi @ SV105 @ SV360 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1705]) ).
thf(1805,plain,
! [SV361: pi,SV318: pi,SV105: list_P227219501e_name] :
( ( ( perm_name_o @ SV105 @ $false )
= $true )
| ( ( ( perm_name_pi @ SV105 @ ( if_pi @ $false @ SV318 @ SV361 ) )
= ( perm_name_pi @ SV105 @ SV361 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1707]) ).
thf(1806,plain,
! [SV109: list_P227219501e_name] :
( ( ( SV109 = nil_Pr743626285e_name )
= $false )
| ( ( SV109 = nil_Pr743626285e_name )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1708]) ).
thf(1807,plain,
! [SV109: list_P227219501e_name] :
( ( ( ! [SY717: produc367475239e_name] :
~ ~ ! [SY718: list_P227219501e_name] :
( SV109
!= ( cons_P1213805021e_name @ SY717 @ SY718 ) ) )
= $false )
| ( ( SV109 = nil_Pr743626285e_name )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1709]) ).
thf(1808,plain,
! [SV380: list_P227219501e_name,SV379: produc367475239e_name,SV109: list_P227219501e_name] :
( ( ( SV109
!= ( cons_P1213805021e_name @ SV379 @ SV380 ) )
= $true )
| ( ( ~ ( ~ ( ( SV109 != nil_Pr743626285e_name ) )
| ~ ~ ! [SY717: produc367475239e_name] :
~ ~ ! [SY718: list_P227219501e_name] :
( SV109
!= ( cons_P1213805021e_name @ SY717 @ SY718 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1710]) ).
thf(1809,plain,
! [SV230: list_P227219501e_name,SV117: list_P227219501e_name > $o] :
( ( ( ! [SY1092: produc367475239e_name,SY1093: list_P227219501e_name] :
( ~ ( SV117 @ SY1093 )
| ~ ( SV117 @ ( cons_P1213805021e_name @ SY1092 @ SY1093 ) )
| ( SV117 @ ( cons_P1213805021e_name @ ( sK52_SY737 @ SV230 @ SV117 ) @ ( cons_P1213805021e_name @ SY1092 @ SY1093 ) ) ) ) )
= $false )
| ( ( SV117 @ SV230 )
= $true )
| ( ( SV117 @ ( cons_P1213805021e_name @ ( sK28_SY736 @ SV230 @ SV117 ) @ nil_Pr743626285e_name ) )
= $false )
| ( ( SV117 @ nil_Pr743626285e_name )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1711]) ).
thf(1810,plain,
! [SV118: produc890461031e_name] :
( ( ( SV118
= ( produc208131031e_name @ ( cons_P1213805021e_name @ ( sK29_SY741 @ SV118 ) @ ( sK38_SY1075 @ SV118 ) ) @ ( sK46_SY1080 @ SV118 ) ) )
= $true )
| ( ( SV118
= ( produc208131031e_name @ nil_Pr743626285e_name @ ( sK8_SY740 @ SV118 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1712]) ).
thf(1811,plain,
! [SV364: name,SV327: name,SV231: name,SV119: name] :
( ( ( ( produc1570949143e_name @ SV119 @ SV231 )
!= ( produc1570949143e_name @ SV327 @ SV364 ) )
= $false )
| ( ( ( produc1570949143e_name @ SV119 @ SV231 )
= ( produc1570949143e_name @ SV327 @ SV364 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1713]) ).
thf(1812,plain,
! [SV364: name,SV231: name,SV327: name,SV119: name] :
( ( ( ~ ~ ( ( SV119 != SV327 )
| ( SV231 != SV364 ) ) )
= $false )
| ( ( ( produc1570949143e_name @ SV119 @ SV231 )
= ( produc1570949143e_name @ SV327 @ SV364 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1713]) ).
thf(1813,plain,
! [SV364: name,SV231: name,SV327: name,SV119: name] :
( ( ( SV119 != SV327 )
= $true )
| ( ( SV231 != SV364 )
= $true )
| ( ( ~ ( ( ( produc1570949143e_name @ SV119 @ SV231 )
!= ( produc1570949143e_name @ SV327 @ SV364 ) )
| ~ ~ ( ( SV119 != SV327 )
| ( SV231 != SV364 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1714]) ).
thf(1814,plain,
! [SV365: name,SV329: late_subject,SV233: pi,SV121: pi,SV378: list_P227219501e_name,SV374: set_Pr1834926343_pi_pi] :
( ( ( eqvt_pi @ SV374 )
= $false )
| ( ( strong2129052853vative @ ( perm_name_pi @ SV378 @ SV121 ) @ ( perm_name_pi @ SV378 @ SV233 ) @ ( perm_n1559866809ubject @ SV378 @ SV329 ) @ ( perm_name_name @ SV378 @ SV365 ) @ SV374 )
= $true )
| ( ( strong2129052853vative @ SV121 @ SV233 @ SV329 @ SV365 @ SV374 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1715]) ).
thf(1815,plain,
! [SV123: list_P227219501e_name > $o,SV235: list_P227219501e_name] :
( ( ( ! [SY1094: produc367475239e_name,SY1095: list_P227219501e_name] :
( ~ ( ( ( sK53_SY759 @ SV235 @ SV123 )
!= SY1094 )
| ( SV123 @ ( cons_P1213805021e_name @ ( sK53_SY759 @ SV235 @ SV123 ) @ SY1095 ) ) )
| ~ ( ~ ( ( ( sK53_SY759 @ SV235 @ SV123 )
!= SY1094 ) )
| ( SV123 @ ( cons_P1213805021e_name @ SY1094 @ SY1095 ) ) )
| ( SV123 @ ( cons_P1213805021e_name @ ( sK53_SY759 @ SV235 @ SV123 ) @ ( cons_P1213805021e_name @ SY1094 @ SY1095 ) ) ) ) )
= $false )
| ( ( SV123 @ SV235 )
= $true )
| ( ( SV123 @ ( cons_P1213805021e_name @ ( sK30_SY758 @ SV235 @ SV123 ) @ nil_Pr743626285e_name ) )
= $false )
| ( ( SV123 @ nil_Pr743626285e_name )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1716]) ).
thf(1816,plain,
! [SV366: list_P227219501e_name,SV333: produc367475239e_name,SV240: list_P227219501e_name,SV128: produc367475239e_name] :
( ( ( ( cons_P1213805021e_name @ SV128 @ SV240 )
!= ( cons_P1213805021e_name @ SV333 @ SV366 ) )
= $false )
| ( ( ( cons_P1213805021e_name @ SV128 @ SV240 )
= ( cons_P1213805021e_name @ SV333 @ SV366 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1717]) ).
thf(1817,plain,
! [SV366: list_P227219501e_name,SV240: list_P227219501e_name,SV333: produc367475239e_name,SV128: produc367475239e_name] :
( ( ( ~ ~ ( ( SV128 != SV333 )
| ( SV240 != SV366 ) ) )
= $false )
| ( ( ( cons_P1213805021e_name @ SV128 @ SV240 )
= ( cons_P1213805021e_name @ SV333 @ SV366 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1717]) ).
thf(1818,plain,
! [SV366: list_P227219501e_name,SV240: list_P227219501e_name,SV333: produc367475239e_name,SV128: produc367475239e_name] :
( ( ( SV128 != SV333 )
= $true )
| ( ( SV240 != SV366 )
= $true )
| ( ( ~ ( ( ( cons_P1213805021e_name @ SV128 @ SV240 )
!= ( cons_P1213805021e_name @ SV333 @ SV366 ) )
| ~ ~ ( ( SV128 != SV333 )
| ( SV240 != SV366 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1718]) ).
thf(1819,plain,
! [SV369: name,SV244: name,SV337: produc1141751126_pi_pi,SV132: name] :
( ( ( ~ ( fresh_1376661020_pi_pi @ SV132 @ SV337 ) )
= $true )
| ( ( fresh_1376661020_pi_pi @ SV132 @ ( perm_n1255502110_pi_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV244 @ SV369 ) @ nil_Pr743626285e_name ) @ SV337 ) )
= $true )
| ( ( fresh_1376661020_pi_pi @ SV244 @ SV337 )
= $false )
| ( ( SV132 = SV244 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1719]) ).
thf(1820,plain,
! [SV63: $o] :
( ( ( ~ ( SV63
| $false ) )
= $true )
| ( ( ~ ( ~ SV63
| ~ $false ) )
= $true )
| ( SV63 = $false )
| ( SV63 = $true ) ),
inference(extcnf_or_pos,[status(thm)],[1740]) ).
thf(1821,plain,
! [SV63: $o] :
( ( ( ~ ( SV63
| $false ) )
= $true )
| ( ( ~ ( ~ SV63
| ~ $false ) )
= $true )
| ( SV63 = $false )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[1742]) ).
thf(1822,plain,
! [SV63: $o] :
( ( ( ~ ( SV63
| $false ) )
= $true )
| ( ( ~ ( ~ SV63
| ~ $false ) )
= $true )
| ( $true = $false )
| ( SV63 = $true ) ),
inference(extcnf_or_pos,[status(thm)],[1744]) ).
thf(1823,plain,
! [SV63: $o] :
( ( ( ~ ( SV63
| $false ) )
= $true )
| ( ( ~ ( ~ SV63
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[1746]) ).
thf(1824,plain,
( ( ( ~ ( $true
| $false ) )
= $true )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[1752]) ).
thf(1825,plain,
( ( ( ~ ( $true
| $false ) )
= $true )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[1754]) ).
thf(1826,plain,
( ( ( ~ ( $true
| $false ) )
= $true )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[1756]) ).
thf(1827,plain,
( ( ( ~ ( $true
| $false ) )
= $true )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[1758]) ).
thf(1828,plain,
( ( ( ~ ( $false
| $false ) )
= $true )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_or_pos,[status(thm)],[1764]) ).
thf(1829,plain,
( ( ( ~ ( $false
| $false ) )
= $true )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[1766]) ).
thf(1830,plain,
( ( ( ~ ( $false
| $false ) )
= $true )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_or_pos,[status(thm)],[1768]) ).
thf(1831,plain,
( ( ( ~ ( $false
| $false ) )
= $true )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[1770]) ).
thf(1832,plain,
! [SV186: list_P227219501e_name,SV286: list_P227219501e_name,SV64: list_P227219501e_name > list_P227219501e_name > $o] :
( ( ( ~ ( SV64 @ ( sK54_SY1086 @ SV286 @ SV186 @ SV64 ) @ ( sK47_SY1081 @ SV186 @ SV286 @ SV64 ) )
| ( SV64 @ ( cons_P1213805021e_name @ ( sK39_SY559 @ SV286 @ SV186 @ SV64 ) @ ( sK47_SY1081 @ SV186 @ SV286 @ SV64 ) ) @ ( sK54_SY1086 @ SV286 @ SV186 @ SV64 ) ) )
= $false )
| ( ( SV64 @ SV186 @ SV286 )
= $true )
| ( ( SV64 @ nil_Pr743626285e_name @ ( sK13_SY558 @ SV286 @ SV186 @ SV64 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1776]) ).
thf(1833,plain,
! [SV287: list_P227219501e_name,SV187: list_P227219501e_name,SV65: list_P227219501e_name > list_P227219501e_name > $o] :
( ( ( ! [SY566: produc367475239e_name,SY567: list_P227219501e_name] : ( SV65 @ nil_Pr743626285e_name @ ( cons_P1213805021e_name @ SY566 @ SY567 ) ) )
= $false )
| ( ( ~ ! [SY568: produc367475239e_name,SY569: list_P227219501e_name,SY570: produc367475239e_name,SY571: list_P227219501e_name] :
( ~ ( SV65 @ SY569 @ SY571 )
| ( SV65 @ ( cons_P1213805021e_name @ SY568 @ SY569 ) @ ( cons_P1213805021e_name @ SY570 @ SY571 ) ) )
| ( SV65 @ SV187 @ SV287 ) )
= $true )
| ( ( SV65 @ ( cons_P1213805021e_name @ ( sK31_SY564 @ SV287 @ SV187 @ SV65 ) @ ( sK40_SY1077 @ SV187 @ SV287 @ SV65 ) ) @ nil_Pr743626285e_name )
= $false )
| ( ( SV65 @ nil_Pr743626285e_name @ nil_Pr743626285e_name )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1777]) ).
thf(1834,plain,
! [SV189: set_Pr1834926343_pi_pi,SV289: pi,SV67: pi,SV371: list_P227219501e_name,SV342: set_Pr1834926343_pi_pi] :
( ( ( eqvt_pi @ SV342 )
= $false )
| ( ( strong743114133lation @ ( perm_name_pi @ SV371 @ SV67 ) @ SV342 @ ( perm_name_pi @ SV371 @ SV289 ) )
= $true )
| ( ( ord_le630093991_pi_pi @ SV189 @ SV342 )
= $false )
| ( ( strong743114133lation @ SV67 @ SV189 @ SV289 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1778]) ).
thf(1835,plain,
! [SV69: list_P227219501e_name] :
( ( ( ! [SY1096: list_P227219501e_name] :
( SV69
!= ( cons_P1213805021e_name @ ( sK48_SY581 @ SV69 ) @ ( cons_P1213805021e_name @ ( sK55_SY1087 @ SV69 ) @ SY1096 ) ) ) )
= $false )
| ( ( SV69
= ( cons_P1213805021e_name @ ( sK22_SY580 @ SV69 ) @ nil_Pr743626285e_name ) )
= $true )
| ( ( SV69 = nil_Pr743626285e_name )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1779]) ).
thf(1836,plain,
! [SV191: produc367475239e_name > produc367475239e_name > $o,SV291: list_P227219501e_name,SV70: ( produc367475239e_name > produc367475239e_name > $o ) > list_P227219501e_name > $o] :
( ( ( ~ ( SV70 @ ( sK41_SY587 @ SV291 @ SV191 @ SV70 ) @ ( sK56_SY1089 @ SV191 @ SV291 @ SV70 ) )
| ( SV70 @ ( sK41_SY587 @ SV291 @ SV191 @ SV70 ) @ ( cons_P1213805021e_name @ ( sK49_SY1083 @ SV191 @ SV291 @ SV70 ) @ ( sK56_SY1089 @ SV191 @ SV291 @ SV70 ) ) ) )
= $false )
| ( ( SV70 @ SV191 @ SV291 )
= $true )
| ( ( SV70 @ ( sK14_SY586 @ SV291 @ SV191 @ SV70 ) @ nil_Pr743626285e_name )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1780]) ).
thf(1837,plain,
! [SV192: produc367475239e_name > produc367475239e_name,SV292: list_P227219501e_name,SV343: list_P227219501e_name,SV71: ( produc367475239e_name > produc367475239e_name ) > list_P227219501e_name > list_P227219501e_name > $o] :
( ( ( ! [SY1097: produc367475239e_name,SY1098: list_P227219501e_name,SY1099: list_P227219501e_name] :
( ~ ( SV71 @ ( sK57_SY595 @ SV343 @ SV292 @ SV192 @ SV71 ) @ SY1098 @ ( cons_P1213805021e_name @ ( sK57_SY595 @ SV343 @ SV292 @ SV192 @ SV71 @ SY1097 ) @ SY1099 ) )
| ( SV71 @ ( sK57_SY595 @ SV343 @ SV292 @ SV192 @ SV71 ) @ ( cons_P1213805021e_name @ SY1097 @ SY1098 ) @ SY1099 ) ) )
= $false )
| ( ( SV71 @ SV192 @ SV292 @ SV343 )
= $true )
| ( ( SV71 @ ( sK23_SY593 @ SV343 @ SV292 @ SV192 @ SV71 ) @ nil_Pr743626285e_name @ ( sK32_SY1070 @ SV192 @ SV292 @ SV343 @ SV71 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1781]) ).
thf(1838,plain,
! [SV72: list_l1406151091e_name] :
( ( ( ! [SY1100: list_l1406151091e_name] :
( SV72
!= ( cons_l798145763e_name @ ( cons_P1213805021e_name @ ( sK50_SY600 @ SV72 ) @ ( sK58_SY1090 @ SV72 ) ) @ SY1100 ) ) )
= $false )
| ( ( SV72
= ( cons_l798145763e_name @ nil_Pr743626285e_name @ ( sK24_SY599 @ SV72 ) ) )
= $true )
| ( ( SV72 = nil_li29751603e_name )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1782]) ).
thf(1839,plain,
! [SV347: name,SV297: name,SV197: name,SV76: name] :
( ( ( ( produc1570949143e_name @ SV76 @ SV197 )
= ( produc1570949143e_name @ SV297 @ SV347 ) )
= $true )
| ( ( ( produc1570949143e_name @ SV76 @ SV197 )
= ( produc1570949143e_name @ SV297 @ SV347 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1786]) ).
thf(1840,plain,
! [SV347: name,SV197: name,SV297: name,SV76: name] :
( ( ( ~ ( ( SV76 != SV297 )
| ( SV197 != SV347 ) ) )
= $true )
| ( ( ( produc1570949143e_name @ SV76 @ SV197 )
= ( produc1570949143e_name @ SV297 @ SV347 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1787]) ).
thf(1841,plain,
! [SV347: name,SV197: name,SV297: name,SV76: name] :
( ( ( SV76 = SV297 )
= $false )
| ( ( SV197 != SV347 )
= $true )
| ( ( ~ ( ( ( produc1570949143e_name @ SV76 @ SV197 )
!= ( produc1570949143e_name @ SV297 @ SV347 ) )
| ~ ~ ( ( SV76 != SV297 )
| ( SV197 != SV347 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1788]) ).
thf(1842,plain,
! [SV79: produc890461031e_name] :
( ( ( ! [SY1101: list_P227219501e_name,SY1102: produc367475239e_name,SY1103: list_P227219501e_name] :
( SV79
!= ( produc208131031e_name @ ( cons_P1213805021e_name @ ( sK59_SY621 @ SV79 ) @ SY1101 ) @ ( cons_P1213805021e_name @ SY1102 @ SY1103 ) ) ) )
= $false )
| ( ( SV79
= ( produc208131031e_name @ ( sK33_SY620 @ SV79 ) @ nil_Pr743626285e_name ) )
= $true )
| ( ( SV79
= ( produc208131031e_name @ nil_Pr743626285e_name @ ( sK4_SY619 @ SV79 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1789]) ).
thf(1843,plain,
! [SV350: name,SV201: name,SV300: late_subject,SV81: name] :
( ( ( fresh_717452603ubject @ SV81 @ SV300 )
= $false )
| ( ( fresh_717452603ubject @ SV81 @ ( perm_n1559866809ubject @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV201 @ SV350 ) @ nil_Pr743626285e_name ) @ SV300 ) )
= $true )
| ( ( fresh_717452603ubject @ SV201 @ SV300 )
= $false )
| ( ( SV81 = SV201 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1790]) ).
thf(1844,plain,
! [SV351: name,SV203: name,SV301: pi,SV83: name] :
( ( ( fresh_name_pi @ SV83 @ SV301 )
= $false )
| ( ( fresh_name_pi @ SV83 @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV203 @ SV351 ) @ nil_Pr743626285e_name ) @ SV301 ) )
= $true )
| ( ( fresh_name_pi @ SV203 @ SV301 )
= $false )
| ( ( SV83 = SV203 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1791]) ).
thf(1845,plain,
! [SV305: list_P227219501e_name,SV207: produc367475239e_name > produc367475239e_name > $o,SV89: ( produc367475239e_name > produc367475239e_name > $o ) > list_P227219501e_name > $o] :
( ( ( ~ ! [SY652: produc367475239e_name > produc367475239e_name > $o,SY653: produc367475239e_name,SY654: produc367475239e_name,SY655: list_P227219501e_name] :
( ~ ( SV89 @ SY652 @ ( cons_P1213805021e_name @ SY654 @ SY655 ) )
| ( SV89 @ SY652 @ ( cons_P1213805021e_name @ SY653 @ ( cons_P1213805021e_name @ SY654 @ SY655 ) ) ) ) )
= $true )
| ( ( SV89 @ SV207 @ SV305 )
= $true )
| ( ( SV89 @ ( sK42_SY650 @ SV305 @ SV207 @ SV89 ) @ ( cons_P1213805021e_name @ ( sK51_SY1085 @ SV207 @ SV305 @ SV89 ) @ nil_Pr743626285e_name ) )
= $false )
| ( ( SV89 @ ( sK17_SY649 @ SV305 @ SV207 @ SV89 ) @ nil_Pr743626285e_name )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1793]) ).
thf(1846,plain,
! [SV91: list_P227219501e_name,SV209: list_P227219501e_name > $o] :
( ( ( ! [SY1104: list_P227219501e_name] :
( ~ ( ( SY1104 != nil_Pr743626285e_name ) )
| ~ ( SV209 @ SY1104 )
| ( SV209 @ ( cons_P1213805021e_name @ ( sK60_SY902 @ SV91 @ SV209 ) @ SY1104 ) ) ) )
= $false )
| ( ( SV209 @ SV91 )
= $true )
| ( ( SV209 @ ( cons_P1213805021e_name @ ( sK34_SY901 @ SV91 @ SV209 ) @ nil_Pr743626285e_name ) )
= $false )
| ( ( SV91 = nil_Pr743626285e_name )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1795]) ).
thf(1847,plain,
! [SV355: name,SV212: name,SV309: name,SV94: name] :
( ( ( fresh_name_name @ SV94 @ SV309 )
= $false )
| ( ( fresh_name_name @ SV94 @ ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV212 @ SV355 ) @ nil_Pr743626285e_name ) @ SV309 ) )
= $true )
| ( ( fresh_name_name @ SV212 @ SV309 )
= $false )
| ( ( SV94 = SV212 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1796]) ).
thf(1848,plain,
! [SV356: name,SV213: name,SV310: late_freeRes,SV95: name] :
( ( ( fresh_1641682979reeRes @ SV95 @ SV310 )
= $false )
| ( ( fresh_1641682979reeRes @ SV95 @ ( perm_n336613537reeRes @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV213 @ SV356 ) @ nil_Pr743626285e_name ) @ SV310 ) )
= $true )
| ( ( fresh_1641682979reeRes @ SV213 @ SV310 )
= $false )
| ( ( SV95 = SV213 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1797]) ).
thf(1849,plain,
! [SV96: produc1872410278e_name] :
( ( ( ! [SY679: produc367475239e_name > produc367475239e_name > $o,SY680: produc367475239e_name,SY681: produc367475239e_name,SY682: list_P227219501e_name] :
( SV96
!= ( produc1069608854e_name @ SY679 @ ( cons_P1213805021e_name @ SY680 @ ( cons_P1213805021e_name @ SY681 @ SY682 ) ) ) ) )
= $false )
| ( ( SV96
= ( produc1069608854e_name @ ( sK35_SY677 @ SV96 ) @ ( cons_P1213805021e_name @ ( sK43_SY1078 @ SV96 ) @ nil_Pr743626285e_name ) ) )
= $true )
| ( ( SV96
= ( produc1069608854e_name @ ( sK6_SY676 @ SV96 ) @ nil_Pr743626285e_name ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1798]) ).
thf(1850,plain,
! [SV311: list_P227219501e_name,SV214: list_P227219501e_name,SV97: list_P227219501e_name > list_P227219501e_name > $o] :
( ( ( ! [SY687: produc367475239e_name,SY688: list_P227219501e_name,SY689: produc367475239e_name,SY690: list_P227219501e_name] :
( ~ ( SV97 @ SY688 @ ( cons_P1213805021e_name @ SY689 @ SY690 ) )
| ~ ( SV97 @ ( cons_P1213805021e_name @ SY687 @ SY688 ) @ SY690 )
| ( SV97 @ ( cons_P1213805021e_name @ SY687 @ SY688 ) @ ( cons_P1213805021e_name @ SY689 @ SY690 ) ) ) )
= $false )
| ( ( SV97 @ SV214 @ SV311 )
= $true )
| ( ( SV97 @ ( sK44_SY686 @ SV311 @ SV214 @ SV97 ) @ nil_Pr743626285e_name )
= $false )
| ( ( SV97 @ nil_Pr743626285e_name @ ( sK18_SY685 @ SV311 @ SV214 @ SV97 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1799]) ).
thf(1851,plain,
! [SV357: name,SV215: name,SV312: pi_Rep,SV98: name] :
( ( ( fresh_name_pi_Rep @ SV98 @ SV312 )
= $false )
| ( ( fresh_name_pi_Rep @ SV98 @ ( perm_name_pi_Rep @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV215 @ SV357 ) @ nil_Pr743626285e_name ) @ SV312 ) )
= $true )
| ( ( fresh_name_pi_Rep @ SV215 @ SV312 )
= $false )
| ( ( SV98 = SV215 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1800]) ).
thf(1852,plain,
! [SV109: list_P227219501e_name] :
( ( ( ~ ~ ! [SY1105: list_P227219501e_name] :
( SV109
!= ( cons_P1213805021e_name @ ( sK61_SY717 @ SV109 ) @ SY1105 ) ) )
= $false )
| ( ( SV109 = nil_Pr743626285e_name )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1807]) ).
thf(1853,plain,
! [SV380: list_P227219501e_name,SV379: produc367475239e_name,SV109: list_P227219501e_name] :
( ( ( SV109
= ( cons_P1213805021e_name @ SV379 @ SV380 ) )
= $false )
| ( ( ~ ( ~ ( ( SV109 != nil_Pr743626285e_name ) )
| ~ ~ ! [SY717: produc367475239e_name] :
~ ~ ! [SY718: list_P227219501e_name] :
( SV109
!= ( cons_P1213805021e_name @ SY717 @ SY718 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1808]) ).
thf(1854,plain,
! [SV230: list_P227219501e_name,SV117: list_P227219501e_name > $o] :
( ( ( ! [SY1106: list_P227219501e_name] :
( ~ ( SV117 @ SY1106 )
| ~ ( SV117 @ ( cons_P1213805021e_name @ ( sK62_SY1092 @ SV230 @ SV117 ) @ SY1106 ) )
| ( SV117 @ ( cons_P1213805021e_name @ ( sK52_SY737 @ SV230 @ SV117 ) @ ( cons_P1213805021e_name @ ( sK62_SY1092 @ SV230 @ SV117 ) @ SY1106 ) ) ) ) )
= $false )
| ( ( SV117 @ SV230 )
= $true )
| ( ( SV117 @ ( cons_P1213805021e_name @ ( sK28_SY736 @ SV230 @ SV117 ) @ nil_Pr743626285e_name ) )
= $false )
| ( ( SV117 @ nil_Pr743626285e_name )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1809]) ).
thf(1855,plain,
! [SV364: name,SV327: name,SV231: name,SV119: name] :
( ( ( ( produc1570949143e_name @ SV119 @ SV231 )
= ( produc1570949143e_name @ SV327 @ SV364 ) )
= $true )
| ( ( ( produc1570949143e_name @ SV119 @ SV231 )
= ( produc1570949143e_name @ SV327 @ SV364 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1811]) ).
thf(1856,plain,
! [SV364: name,SV231: name,SV327: name,SV119: name] :
( ( ( ~ ( ( SV119 != SV327 )
| ( SV231 != SV364 ) ) )
= $true )
| ( ( ( produc1570949143e_name @ SV119 @ SV231 )
= ( produc1570949143e_name @ SV327 @ SV364 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1812]) ).
thf(1857,plain,
! [SV364: name,SV231: name,SV327: name,SV119: name] :
( ( ( SV119 = SV327 )
= $false )
| ( ( SV231 != SV364 )
= $true )
| ( ( ~ ( ( ( produc1570949143e_name @ SV119 @ SV231 )
!= ( produc1570949143e_name @ SV327 @ SV364 ) )
| ~ ~ ( ( SV119 != SV327 )
| ( SV231 != SV364 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1813]) ).
thf(1858,plain,
! [SV123: list_P227219501e_name > $o,SV235: list_P227219501e_name] :
( ( ( ! [SY1107: list_P227219501e_name] :
( ~ ( ( ( sK53_SY759 @ SV235 @ SV123 )
!= ( sK63_SY1094 @ SV123 @ SV235 ) )
| ( SV123 @ ( cons_P1213805021e_name @ ( sK53_SY759 @ SV235 @ SV123 ) @ SY1107 ) ) )
| ~ ( ~ ( ( ( sK53_SY759 @ SV235 @ SV123 )
!= ( sK63_SY1094 @ SV123 @ SV235 ) ) )
| ( SV123 @ ( cons_P1213805021e_name @ ( sK63_SY1094 @ SV123 @ SV235 ) @ SY1107 ) ) )
| ( SV123 @ ( cons_P1213805021e_name @ ( sK53_SY759 @ SV235 @ SV123 ) @ ( cons_P1213805021e_name @ ( sK63_SY1094 @ SV123 @ SV235 ) @ SY1107 ) ) ) ) )
= $false )
| ( ( SV123 @ SV235 )
= $true )
| ( ( SV123 @ ( cons_P1213805021e_name @ ( sK30_SY758 @ SV235 @ SV123 ) @ nil_Pr743626285e_name ) )
= $false )
| ( ( SV123 @ nil_Pr743626285e_name )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1815]) ).
thf(1859,plain,
! [SV366: list_P227219501e_name,SV333: produc367475239e_name,SV240: list_P227219501e_name,SV128: produc367475239e_name] :
( ( ( ( cons_P1213805021e_name @ SV128 @ SV240 )
= ( cons_P1213805021e_name @ SV333 @ SV366 ) )
= $true )
| ( ( ( cons_P1213805021e_name @ SV128 @ SV240 )
= ( cons_P1213805021e_name @ SV333 @ SV366 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1816]) ).
thf(1860,plain,
! [SV366: list_P227219501e_name,SV240: list_P227219501e_name,SV333: produc367475239e_name,SV128: produc367475239e_name] :
( ( ( ~ ( ( SV128 != SV333 )
| ( SV240 != SV366 ) ) )
= $true )
| ( ( ( cons_P1213805021e_name @ SV128 @ SV240 )
= ( cons_P1213805021e_name @ SV333 @ SV366 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1817]) ).
thf(1861,plain,
! [SV366: list_P227219501e_name,SV240: list_P227219501e_name,SV333: produc367475239e_name,SV128: produc367475239e_name] :
( ( ( SV128 = SV333 )
= $false )
| ( ( SV240 != SV366 )
= $true )
| ( ( ~ ( ( ( cons_P1213805021e_name @ SV128 @ SV240 )
!= ( cons_P1213805021e_name @ SV333 @ SV366 ) )
| ~ ~ ( ( SV128 != SV333 )
| ( SV240 != SV366 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1818]) ).
thf(1862,plain,
! [SV369: name,SV244: name,SV337: produc1141751126_pi_pi,SV132: name] :
( ( ( fresh_1376661020_pi_pi @ SV132 @ SV337 )
= $false )
| ( ( fresh_1376661020_pi_pi @ SV132 @ ( perm_n1255502110_pi_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV244 @ SV369 ) @ nil_Pr743626285e_name ) @ SV337 ) )
= $true )
| ( ( fresh_1376661020_pi_pi @ SV244 @ SV337 )
= $false )
| ( ( SV132 = SV244 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1819]) ).
thf(1863,plain,
! [SV63: $o] :
( ( ( SV63
| $false )
= $false )
| ( ( ~ ( ~ SV63
| ~ $false ) )
= $true )
| ( SV63 = $false )
| ( SV63 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1820]) ).
thf(1864,plain,
! [SV63: $o] :
( ( ( SV63
| $false )
= $false )
| ( ( ~ ( ~ SV63
| ~ $false ) )
= $true )
| ( SV63 = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1821]) ).
thf(1865,plain,
! [SV63: $o] :
( ( ( SV63
| $false )
= $false )
| ( ( ~ ( ~ SV63
| ~ $false ) )
= $true )
| ( $true = $false )
| ( SV63 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1822]) ).
thf(1866,plain,
! [SV63: $o] :
( ( ( SV63
| $false )
= $false )
| ( ( ~ ( ~ SV63
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1823]) ).
thf(1867,plain,
( ( ( $true
| $false )
= $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1824]) ).
thf(1868,plain,
( ( ( $true
| $false )
= $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1825]) ).
thf(1869,plain,
( ( ( $true
| $false )
= $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1826]) ).
thf(1870,plain,
( ( ( $true
| $false )
= $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1827]) ).
thf(1871,plain,
( ( ( $false
| $false )
= $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1828]) ).
thf(1872,plain,
( ( ( $false
| $false )
= $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1829]) ).
thf(1873,plain,
( ( ( $false
| $false )
= $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1830]) ).
thf(1874,plain,
( ( ( $false
| $false )
= $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1831]) ).
thf(1875,plain,
! [SV186: list_P227219501e_name,SV286: list_P227219501e_name,SV64: list_P227219501e_name > list_P227219501e_name > $o] :
( ( ( ~ ( SV64 @ ( sK54_SY1086 @ SV286 @ SV186 @ SV64 ) @ ( sK47_SY1081 @ SV186 @ SV286 @ SV64 ) ) )
= $false )
| ( ( SV64 @ SV186 @ SV286 )
= $true )
| ( ( SV64 @ nil_Pr743626285e_name @ ( sK13_SY558 @ SV286 @ SV186 @ SV64 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1832]) ).
thf(1876,plain,
! [SV186: list_P227219501e_name,SV286: list_P227219501e_name,SV64: list_P227219501e_name > list_P227219501e_name > $o] :
( ( ( SV64 @ ( cons_P1213805021e_name @ ( sK39_SY559 @ SV286 @ SV186 @ SV64 ) @ ( sK47_SY1081 @ SV186 @ SV286 @ SV64 ) ) @ ( sK54_SY1086 @ SV286 @ SV186 @ SV64 ) )
= $false )
| ( ( SV64 @ SV186 @ SV286 )
= $true )
| ( ( SV64 @ nil_Pr743626285e_name @ ( sK13_SY558 @ SV286 @ SV186 @ SV64 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1832]) ).
thf(1877,plain,
! [SV187: list_P227219501e_name,SV287: list_P227219501e_name,SV65: list_P227219501e_name > list_P227219501e_name > $o] :
( ( ( ! [SY1108: list_P227219501e_name] : ( SV65 @ nil_Pr743626285e_name @ ( cons_P1213805021e_name @ ( sK64_SY566 @ SV287 @ SV187 @ SV65 ) @ SY1108 ) ) )
= $false )
| ( ( ~ ! [SY568: produc367475239e_name,SY569: list_P227219501e_name,SY570: produc367475239e_name,SY571: list_P227219501e_name] :
( ~ ( SV65 @ SY569 @ SY571 )
| ( SV65 @ ( cons_P1213805021e_name @ SY568 @ SY569 ) @ ( cons_P1213805021e_name @ SY570 @ SY571 ) ) )
| ( SV65 @ SV187 @ SV287 ) )
= $true )
| ( ( SV65 @ ( cons_P1213805021e_name @ ( sK31_SY564 @ SV287 @ SV187 @ SV65 ) @ ( sK40_SY1077 @ SV187 @ SV287 @ SV65 ) ) @ nil_Pr743626285e_name )
= $false )
| ( ( SV65 @ nil_Pr743626285e_name @ nil_Pr743626285e_name )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1833]) ).
thf(1878,plain,
! [SV69: list_P227219501e_name] :
( ( ( SV69
!= ( cons_P1213805021e_name @ ( sK48_SY581 @ SV69 ) @ ( cons_P1213805021e_name @ ( sK55_SY1087 @ SV69 ) @ ( sK65_SY1096 @ SV69 ) ) ) )
= $false )
| ( ( SV69
= ( cons_P1213805021e_name @ ( sK22_SY580 @ SV69 ) @ nil_Pr743626285e_name ) )
= $true )
| ( ( SV69 = nil_Pr743626285e_name )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1835]) ).
thf(1879,plain,
! [SV191: produc367475239e_name > produc367475239e_name > $o,SV291: list_P227219501e_name,SV70: ( produc367475239e_name > produc367475239e_name > $o ) > list_P227219501e_name > $o] :
( ( ( ~ ( SV70 @ ( sK41_SY587 @ SV291 @ SV191 @ SV70 ) @ ( sK56_SY1089 @ SV191 @ SV291 @ SV70 ) ) )
= $false )
| ( ( SV70 @ SV191 @ SV291 )
= $true )
| ( ( SV70 @ ( sK14_SY586 @ SV291 @ SV191 @ SV70 ) @ nil_Pr743626285e_name )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1836]) ).
thf(1880,plain,
! [SV191: produc367475239e_name > produc367475239e_name > $o,SV291: list_P227219501e_name,SV70: ( produc367475239e_name > produc367475239e_name > $o ) > list_P227219501e_name > $o] :
( ( ( SV70 @ ( sK41_SY587 @ SV291 @ SV191 @ SV70 ) @ ( cons_P1213805021e_name @ ( sK49_SY1083 @ SV191 @ SV291 @ SV70 ) @ ( sK56_SY1089 @ SV191 @ SV291 @ SV70 ) ) )
= $false )
| ( ( SV70 @ SV191 @ SV291 )
= $true )
| ( ( SV70 @ ( sK14_SY586 @ SV291 @ SV191 @ SV70 ) @ nil_Pr743626285e_name )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1836]) ).
thf(1881,plain,
! [SV192: produc367475239e_name > produc367475239e_name,SV292: list_P227219501e_name,SV343: list_P227219501e_name,SV71: ( produc367475239e_name > produc367475239e_name ) > list_P227219501e_name > list_P227219501e_name > $o] :
( ( ( ! [SY1109: list_P227219501e_name,SY1110: list_P227219501e_name] :
( ~ ( SV71 @ ( sK57_SY595 @ SV343 @ SV292 @ SV192 @ SV71 ) @ SY1109 @ ( cons_P1213805021e_name @ ( sK57_SY595 @ SV343 @ SV292 @ SV192 @ SV71 @ ( sK66_SY1097 @ SV192 @ SV292 @ SV343 @ SV71 ) ) @ SY1110 ) )
| ( SV71 @ ( sK57_SY595 @ SV343 @ SV292 @ SV192 @ SV71 ) @ ( cons_P1213805021e_name @ ( sK66_SY1097 @ SV192 @ SV292 @ SV343 @ SV71 ) @ SY1109 ) @ SY1110 ) ) )
= $false )
| ( ( SV71 @ SV192 @ SV292 @ SV343 )
= $true )
| ( ( SV71 @ ( sK23_SY593 @ SV343 @ SV292 @ SV192 @ SV71 ) @ nil_Pr743626285e_name @ ( sK32_SY1070 @ SV192 @ SV292 @ SV343 @ SV71 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1837]) ).
thf(1882,plain,
! [SV72: list_l1406151091e_name] :
( ( ( SV72
!= ( cons_l798145763e_name @ ( cons_P1213805021e_name @ ( sK50_SY600 @ SV72 ) @ ( sK58_SY1090 @ SV72 ) ) @ ( sK67_SY1100 @ SV72 ) ) )
= $false )
| ( ( SV72
= ( cons_l798145763e_name @ nil_Pr743626285e_name @ ( sK24_SY599 @ SV72 ) ) )
= $true )
| ( ( SV72 = nil_li29751603e_name )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1838]) ).
thf(1883,plain,
! [SV347: name,SV197: name,SV297: name,SV76: name] :
( ( ( ( SV76 != SV297 )
| ( SV197 != SV347 ) )
= $false )
| ( ( ( produc1570949143e_name @ SV76 @ SV197 )
= ( produc1570949143e_name @ SV297 @ SV347 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1840]) ).
thf(1884,plain,
! [SV297: name,SV76: name,SV347: name,SV197: name] :
( ( ( SV197 = SV347 )
= $false )
| ( ( SV76 = SV297 )
= $false )
| ( ( ~ ( ( ( produc1570949143e_name @ SV76 @ SV197 )
!= ( produc1570949143e_name @ SV297 @ SV347 ) )
| ~ ~ ( ( SV76 != SV297 )
| ( SV197 != SV347 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1841]) ).
thf(1885,plain,
! [SV79: produc890461031e_name] :
( ( ( ! [SY1111: produc367475239e_name,SY1112: list_P227219501e_name] :
( SV79
!= ( produc208131031e_name @ ( cons_P1213805021e_name @ ( sK59_SY621 @ SV79 ) @ ( sK68_SY1101 @ SV79 ) ) @ ( cons_P1213805021e_name @ SY1111 @ SY1112 ) ) ) )
= $false )
| ( ( SV79
= ( produc208131031e_name @ ( sK33_SY620 @ SV79 ) @ nil_Pr743626285e_name ) )
= $true )
| ( ( SV79
= ( produc208131031e_name @ nil_Pr743626285e_name @ ( sK4_SY619 @ SV79 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1842]) ).
thf(1886,plain,
! [SV305: list_P227219501e_name,SV207: produc367475239e_name > produc367475239e_name > $o,SV89: ( produc367475239e_name > produc367475239e_name > $o ) > list_P227219501e_name > $o] :
( ( ( ! [SY652: produc367475239e_name > produc367475239e_name > $o,SY653: produc367475239e_name,SY654: produc367475239e_name,SY655: list_P227219501e_name] :
( ~ ( SV89 @ SY652 @ ( cons_P1213805021e_name @ SY654 @ SY655 ) )
| ( SV89 @ SY652 @ ( cons_P1213805021e_name @ SY653 @ ( cons_P1213805021e_name @ SY654 @ SY655 ) ) ) ) )
= $false )
| ( ( SV89 @ SV207 @ SV305 )
= $true )
| ( ( SV89 @ ( sK42_SY650 @ SV305 @ SV207 @ SV89 ) @ ( cons_P1213805021e_name @ ( sK51_SY1085 @ SV207 @ SV305 @ SV89 ) @ nil_Pr743626285e_name ) )
= $false )
| ( ( SV89 @ ( sK17_SY649 @ SV305 @ SV207 @ SV89 ) @ nil_Pr743626285e_name )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1845]) ).
thf(1887,plain,
! [SV209: list_P227219501e_name > $o,SV91: list_P227219501e_name] :
( ( ( ~ ( ( ( sK69_SY1104 @ SV91 @ SV209 )
!= nil_Pr743626285e_name ) )
| ~ ( SV209 @ ( sK69_SY1104 @ SV91 @ SV209 ) )
| ( SV209 @ ( cons_P1213805021e_name @ ( sK60_SY902 @ SV91 @ SV209 ) @ ( sK69_SY1104 @ SV91 @ SV209 ) ) ) )
= $false )
| ( ( SV209 @ SV91 )
= $true )
| ( ( SV209 @ ( cons_P1213805021e_name @ ( sK34_SY901 @ SV91 @ SV209 ) @ nil_Pr743626285e_name ) )
= $false )
| ( ( SV91 = nil_Pr743626285e_name )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1846]) ).
thf(1888,plain,
! [SV96: produc1872410278e_name] :
( ( ( ! [SY1113: produc367475239e_name,SY1114: produc367475239e_name,SY1115: list_P227219501e_name] :
( SV96
!= ( produc1069608854e_name @ ( sK70_SY679 @ SV96 ) @ ( cons_P1213805021e_name @ SY1113 @ ( cons_P1213805021e_name @ SY1114 @ SY1115 ) ) ) ) )
= $false )
| ( ( SV96
= ( produc1069608854e_name @ ( sK35_SY677 @ SV96 ) @ ( cons_P1213805021e_name @ ( sK43_SY1078 @ SV96 ) @ nil_Pr743626285e_name ) ) )
= $true )
| ( ( SV96
= ( produc1069608854e_name @ ( sK6_SY676 @ SV96 ) @ nil_Pr743626285e_name ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1849]) ).
thf(1889,plain,
! [SV214: list_P227219501e_name,SV311: list_P227219501e_name,SV97: list_P227219501e_name > list_P227219501e_name > $o] :
( ( ( ! [SY1116: list_P227219501e_name,SY1117: produc367475239e_name,SY1118: list_P227219501e_name] :
( ~ ( SV97 @ SY1116 @ ( cons_P1213805021e_name @ SY1117 @ SY1118 ) )
| ~ ( SV97 @ ( cons_P1213805021e_name @ ( sK71_SY687 @ SV311 @ SV214 @ SV97 ) @ SY1116 ) @ SY1118 )
| ( SV97 @ ( cons_P1213805021e_name @ ( sK71_SY687 @ SV311 @ SV214 @ SV97 ) @ SY1116 ) @ ( cons_P1213805021e_name @ SY1117 @ SY1118 ) ) ) )
= $false )
| ( ( SV97 @ SV214 @ SV311 )
= $true )
| ( ( SV97 @ ( sK44_SY686 @ SV311 @ SV214 @ SV97 ) @ nil_Pr743626285e_name )
= $false )
| ( ( SV97 @ nil_Pr743626285e_name @ ( sK18_SY685 @ SV311 @ SV214 @ SV97 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1850]) ).
thf(1890,plain,
! [SV109: list_P227219501e_name] :
( ( ( ~ ! [SY1105: list_P227219501e_name] :
( SV109
!= ( cons_P1213805021e_name @ ( sK61_SY717 @ SV109 ) @ SY1105 ) ) )
= $true )
| ( ( SV109 = nil_Pr743626285e_name )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1852]) ).
thf(1891,plain,
! [SV380: list_P227219501e_name,SV379: produc367475239e_name,SV109: list_P227219501e_name] :
( ( ( ~ ( ( SV109 != nil_Pr743626285e_name ) )
| ~ ~ ! [SY717: produc367475239e_name] :
~ ~ ! [SY718: list_P227219501e_name] :
( SV109
!= ( cons_P1213805021e_name @ SY717 @ SY718 ) ) )
= $false )
| ( ( SV109
= ( cons_P1213805021e_name @ SV379 @ SV380 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1853]) ).
thf(1892,plain,
! [SV230: list_P227219501e_name,SV117: list_P227219501e_name > $o] :
( ( ( ~ ( SV117 @ ( sK72_SY1106 @ SV230 @ SV117 ) )
| ~ ( SV117 @ ( cons_P1213805021e_name @ ( sK62_SY1092 @ SV230 @ SV117 ) @ ( sK72_SY1106 @ SV230 @ SV117 ) ) )
| ( SV117 @ ( cons_P1213805021e_name @ ( sK52_SY737 @ SV230 @ SV117 ) @ ( cons_P1213805021e_name @ ( sK62_SY1092 @ SV230 @ SV117 ) @ ( sK72_SY1106 @ SV230 @ SV117 ) ) ) ) )
= $false )
| ( ( SV117 @ SV230 )
= $true )
| ( ( SV117 @ ( cons_P1213805021e_name @ ( sK28_SY736 @ SV230 @ SV117 ) @ nil_Pr743626285e_name ) )
= $false )
| ( ( SV117 @ nil_Pr743626285e_name )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1854]) ).
thf(1893,plain,
! [SV364: name,SV231: name,SV327: name,SV119: name] :
( ( ( ( SV119 != SV327 )
| ( SV231 != SV364 ) )
= $false )
| ( ( ( produc1570949143e_name @ SV119 @ SV231 )
= ( produc1570949143e_name @ SV327 @ SV364 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1856]) ).
thf(1894,plain,
! [SV327: name,SV119: name,SV364: name,SV231: name] :
( ( ( SV231 = SV364 )
= $false )
| ( ( SV119 = SV327 )
= $false )
| ( ( ~ ( ( ( produc1570949143e_name @ SV119 @ SV231 )
!= ( produc1570949143e_name @ SV327 @ SV364 ) )
| ~ ~ ( ( SV119 != SV327 )
| ( SV231 != SV364 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1857]) ).
thf(1895,plain,
! [SV123: list_P227219501e_name > $o,SV235: list_P227219501e_name] :
( ( ( ~ ( ( ( sK53_SY759 @ SV235 @ SV123 )
!= ( sK63_SY1094 @ SV123 @ SV235 ) )
| ( SV123 @ ( cons_P1213805021e_name @ ( sK53_SY759 @ SV235 @ SV123 ) @ ( sK73_SY1107 @ SV123 @ SV235 ) ) ) )
| ~ ( ~ ( ( ( sK53_SY759 @ SV235 @ SV123 )
!= ( sK63_SY1094 @ SV123 @ SV235 ) ) )
| ( SV123 @ ( cons_P1213805021e_name @ ( sK63_SY1094 @ SV123 @ SV235 ) @ ( sK73_SY1107 @ SV123 @ SV235 ) ) ) )
| ( SV123 @ ( cons_P1213805021e_name @ ( sK53_SY759 @ SV235 @ SV123 ) @ ( cons_P1213805021e_name @ ( sK63_SY1094 @ SV123 @ SV235 ) @ ( sK73_SY1107 @ SV123 @ SV235 ) ) ) ) )
= $false )
| ( ( SV123 @ SV235 )
= $true )
| ( ( SV123 @ ( cons_P1213805021e_name @ ( sK30_SY758 @ SV235 @ SV123 ) @ nil_Pr743626285e_name ) )
= $false )
| ( ( SV123 @ nil_Pr743626285e_name )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1858]) ).
thf(1896,plain,
! [SV366: list_P227219501e_name,SV240: list_P227219501e_name,SV333: produc367475239e_name,SV128: produc367475239e_name] :
( ( ( ( SV128 != SV333 )
| ( SV240 != SV366 ) )
= $false )
| ( ( ( cons_P1213805021e_name @ SV128 @ SV240 )
= ( cons_P1213805021e_name @ SV333 @ SV366 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1860]) ).
thf(1897,plain,
! [SV333: produc367475239e_name,SV128: produc367475239e_name,SV366: list_P227219501e_name,SV240: list_P227219501e_name] :
( ( ( SV240 = SV366 )
= $false )
| ( ( SV128 = SV333 )
= $false )
| ( ( ~ ( ( ( cons_P1213805021e_name @ SV128 @ SV240 )
!= ( cons_P1213805021e_name @ SV333 @ SV366 ) )
| ~ ~ ( ( SV128 != SV333 )
| ( SV240 != SV366 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1861]) ).
thf(1898,plain,
! [SV63: $o] :
( ( SV63 = $false )
| ( ( ~ ( ~ SV63
| ~ $false ) )
= $true )
| ( SV63 = $false )
| ( SV63 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1863]) ).
thf(1899,plain,
! [SV63: $o] :
( ( $false = $false )
| ( ( ~ ( ~ SV63
| ~ $false ) )
= $true )
| ( SV63 = $false )
| ( SV63 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1863]) ).
thf(1900,plain,
! [SV63: $o] :
( ( SV63 = $false )
| ( ( ~ ( ~ SV63
| ~ $false ) )
= $true )
| ( SV63 = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1864]) ).
thf(1901,plain,
! [SV63: $o] :
( ( $false = $false )
| ( ( ~ ( ~ SV63
| ~ $false ) )
= $true )
| ( SV63 = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1864]) ).
thf(1902,plain,
! [SV63: $o] :
( ( SV63 = $false )
| ( ( ~ ( ~ SV63
| ~ $false ) )
= $true )
| ( $true = $false )
| ( SV63 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1865]) ).
thf(1903,plain,
! [SV63: $o] :
( ( $false = $false )
| ( ( ~ ( ~ SV63
| ~ $false ) )
= $true )
| ( $true = $false )
| ( SV63 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1865]) ).
thf(1904,plain,
! [SV63: $o] :
( ( SV63 = $false )
| ( ( ~ ( ~ SV63
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1866]) ).
thf(1905,plain,
! [SV63: $o] :
( ( $false = $false )
| ( ( ~ ( ~ SV63
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1866]) ).
thf(1906,plain,
( ( $true = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1867]) ).
thf(1907,plain,
( ( $false = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1867]) ).
thf(1908,plain,
( ( $true = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1868]) ).
thf(1909,plain,
( ( $false = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1868]) ).
thf(1910,plain,
( ( $true = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1869]) ).
thf(1911,plain,
( ( $false = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1869]) ).
thf(1912,plain,
( ( $true = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1870]) ).
thf(1913,plain,
( ( $false = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1870]) ).
thf(1914,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1871]) ).
thf(1915,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1871]) ).
thf(1916,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1872]) ).
thf(1917,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1872]) ).
thf(1918,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1873]) ).
thf(1919,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1873]) ).
thf(1920,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1874]) ).
thf(1921,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1874]) ).
thf(1922,plain,
! [SV186: list_P227219501e_name,SV286: list_P227219501e_name,SV64: list_P227219501e_name > list_P227219501e_name > $o] :
( ( ( SV64 @ ( sK54_SY1086 @ SV286 @ SV186 @ SV64 ) @ ( sK47_SY1081 @ SV186 @ SV286 @ SV64 ) )
= $true )
| ( ( SV64 @ SV186 @ SV286 )
= $true )
| ( ( SV64 @ nil_Pr743626285e_name @ ( sK13_SY558 @ SV286 @ SV186 @ SV64 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1875]) ).
thf(1923,plain,
! [SV187: list_P227219501e_name,SV287: list_P227219501e_name,SV65: list_P227219501e_name > list_P227219501e_name > $o] :
( ( ( SV65 @ nil_Pr743626285e_name @ ( cons_P1213805021e_name @ ( sK64_SY566 @ SV287 @ SV187 @ SV65 ) @ ( sK74_SY1108 @ SV187 @ SV287 @ SV65 ) ) )
= $false )
| ( ( ~ ! [SY568: produc367475239e_name,SY569: list_P227219501e_name,SY570: produc367475239e_name,SY571: list_P227219501e_name] :
( ~ ( SV65 @ SY569 @ SY571 )
| ( SV65 @ ( cons_P1213805021e_name @ SY568 @ SY569 ) @ ( cons_P1213805021e_name @ SY570 @ SY571 ) ) )
| ( SV65 @ SV187 @ SV287 ) )
= $true )
| ( ( SV65 @ ( cons_P1213805021e_name @ ( sK31_SY564 @ SV287 @ SV187 @ SV65 ) @ ( sK40_SY1077 @ SV187 @ SV287 @ SV65 ) ) @ nil_Pr743626285e_name )
= $false )
| ( ( SV65 @ nil_Pr743626285e_name @ nil_Pr743626285e_name )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1877]) ).
thf(1924,plain,
! [SV69: list_P227219501e_name] :
( ( ( SV69
= ( cons_P1213805021e_name @ ( sK48_SY581 @ SV69 ) @ ( cons_P1213805021e_name @ ( sK55_SY1087 @ SV69 ) @ ( sK65_SY1096 @ SV69 ) ) ) )
= $true )
| ( ( SV69
= ( cons_P1213805021e_name @ ( sK22_SY580 @ SV69 ) @ nil_Pr743626285e_name ) )
= $true )
| ( ( SV69 = nil_Pr743626285e_name )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1878]) ).
thf(1925,plain,
! [SV191: produc367475239e_name > produc367475239e_name > $o,SV291: list_P227219501e_name,SV70: ( produc367475239e_name > produc367475239e_name > $o ) > list_P227219501e_name > $o] :
( ( ( SV70 @ ( sK41_SY587 @ SV291 @ SV191 @ SV70 ) @ ( sK56_SY1089 @ SV191 @ SV291 @ SV70 ) )
= $true )
| ( ( SV70 @ SV191 @ SV291 )
= $true )
| ( ( SV70 @ ( sK14_SY586 @ SV291 @ SV191 @ SV70 ) @ nil_Pr743626285e_name )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1879]) ).
thf(1926,plain,
! [SV192: produc367475239e_name > produc367475239e_name,SV292: list_P227219501e_name,SV343: list_P227219501e_name,SV71: ( produc367475239e_name > produc367475239e_name ) > list_P227219501e_name > list_P227219501e_name > $o] :
( ( ( ! [SY1119: list_P227219501e_name] :
( ~ ( SV71 @ ( sK57_SY595 @ SV343 @ SV292 @ SV192 @ SV71 ) @ ( sK75_SY1109 @ SV192 @ SV292 @ SV343 @ SV71 ) @ ( cons_P1213805021e_name @ ( sK57_SY595 @ SV343 @ SV292 @ SV192 @ SV71 @ ( sK66_SY1097 @ SV192 @ SV292 @ SV343 @ SV71 ) ) @ SY1119 ) )
| ( SV71 @ ( sK57_SY595 @ SV343 @ SV292 @ SV192 @ SV71 ) @ ( cons_P1213805021e_name @ ( sK66_SY1097 @ SV192 @ SV292 @ SV343 @ SV71 ) @ ( sK75_SY1109 @ SV192 @ SV292 @ SV343 @ SV71 ) ) @ SY1119 ) ) )
= $false )
| ( ( SV71 @ SV192 @ SV292 @ SV343 )
= $true )
| ( ( SV71 @ ( sK23_SY593 @ SV343 @ SV292 @ SV192 @ SV71 ) @ nil_Pr743626285e_name @ ( sK32_SY1070 @ SV192 @ SV292 @ SV343 @ SV71 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1881]) ).
thf(1927,plain,
! [SV72: list_l1406151091e_name] :
( ( ( SV72
= ( cons_l798145763e_name @ ( cons_P1213805021e_name @ ( sK50_SY600 @ SV72 ) @ ( sK58_SY1090 @ SV72 ) ) @ ( sK67_SY1100 @ SV72 ) ) )
= $true )
| ( ( SV72
= ( cons_l798145763e_name @ nil_Pr743626285e_name @ ( sK24_SY599 @ SV72 ) ) )
= $true )
| ( ( SV72 = nil_li29751603e_name )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1882]) ).
thf(1928,plain,
! [SV347: name,SV197: name,SV297: name,SV76: name] :
( ( ( SV76 != SV297 )
= $false )
| ( ( ( produc1570949143e_name @ SV76 @ SV197 )
= ( produc1570949143e_name @ SV297 @ SV347 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1883]) ).
thf(1929,plain,
! [SV297: name,SV76: name,SV347: name,SV197: name] :
( ( ( SV197 != SV347 )
= $false )
| ( ( ( produc1570949143e_name @ SV76 @ SV197 )
= ( produc1570949143e_name @ SV297 @ SV347 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1883]) ).
thf(1930,plain,
! [SV347: name,SV297: name,SV197: name,SV76: name] :
( ( ( ( ( produc1570949143e_name @ SV76 @ SV197 )
!= ( produc1570949143e_name @ SV297 @ SV347 ) )
| ~ ~ ( ( SV76 != SV297 )
| ( SV197 != SV347 ) ) )
= $false )
| ( ( SV76 = SV297 )
= $false )
| ( ( SV197 = SV347 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1884]) ).
thf(1931,plain,
! [SV79: produc890461031e_name] :
( ( ( ! [SY1120: list_P227219501e_name] :
( SV79
!= ( produc208131031e_name @ ( cons_P1213805021e_name @ ( sK59_SY621 @ SV79 ) @ ( sK68_SY1101 @ SV79 ) ) @ ( cons_P1213805021e_name @ ( sK76_SY1111 @ SV79 ) @ SY1120 ) ) ) )
= $false )
| ( ( SV79
= ( produc208131031e_name @ ( sK33_SY620 @ SV79 ) @ nil_Pr743626285e_name ) )
= $true )
| ( ( SV79
= ( produc208131031e_name @ nil_Pr743626285e_name @ ( sK4_SY619 @ SV79 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1885]) ).
thf(1932,plain,
! [SV207: produc367475239e_name > produc367475239e_name > $o,SV305: list_P227219501e_name,SV89: ( produc367475239e_name > produc367475239e_name > $o ) > list_P227219501e_name > $o] :
( ( ( ! [SY1121: produc367475239e_name,SY1122: produc367475239e_name,SY1123: list_P227219501e_name] :
( ~ ( SV89 @ ( sK77_SY652 @ SV305 @ SV207 @ SV89 ) @ ( cons_P1213805021e_name @ SY1122 @ SY1123 ) )
| ( SV89 @ ( sK77_SY652 @ SV305 @ SV207 @ SV89 ) @ ( cons_P1213805021e_name @ SY1121 @ ( cons_P1213805021e_name @ SY1122 @ SY1123 ) ) ) ) )
= $false )
| ( ( SV89 @ SV207 @ SV305 )
= $true )
| ( ( SV89 @ ( sK42_SY650 @ SV305 @ SV207 @ SV89 ) @ ( cons_P1213805021e_name @ ( sK51_SY1085 @ SV207 @ SV305 @ SV89 ) @ nil_Pr743626285e_name ) )
= $false )
| ( ( SV89 @ ( sK17_SY649 @ SV305 @ SV207 @ SV89 ) @ nil_Pr743626285e_name )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1886]) ).
thf(1933,plain,
! [SV209: list_P227219501e_name > $o,SV91: list_P227219501e_name] :
( ( ( ~ ( ( ( sK69_SY1104 @ SV91 @ SV209 )
!= nil_Pr743626285e_name ) ) )
= $false )
| ( ( SV209 @ SV91 )
= $true )
| ( ( SV209 @ ( cons_P1213805021e_name @ ( sK34_SY901 @ SV91 @ SV209 ) @ nil_Pr743626285e_name ) )
= $false )
| ( ( SV91 = nil_Pr743626285e_name )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1887]) ).
thf(1934,plain,
! [SV91: list_P227219501e_name,SV209: list_P227219501e_name > $o] :
( ( ( ~ ( SV209 @ ( sK69_SY1104 @ SV91 @ SV209 ) )
| ( SV209 @ ( cons_P1213805021e_name @ ( sK60_SY902 @ SV91 @ SV209 ) @ ( sK69_SY1104 @ SV91 @ SV209 ) ) ) )
= $false )
| ( ( SV209 @ SV91 )
= $true )
| ( ( SV209 @ ( cons_P1213805021e_name @ ( sK34_SY901 @ SV91 @ SV209 ) @ nil_Pr743626285e_name ) )
= $false )
| ( ( SV91 = nil_Pr743626285e_name )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1887]) ).
thf(1935,plain,
! [SV96: produc1872410278e_name] :
( ( ( ! [SY1124: produc367475239e_name,SY1125: list_P227219501e_name] :
( SV96
!= ( produc1069608854e_name @ ( sK70_SY679 @ SV96 ) @ ( cons_P1213805021e_name @ ( sK78_SY1113 @ SV96 ) @ ( cons_P1213805021e_name @ SY1124 @ SY1125 ) ) ) ) )
= $false )
| ( ( SV96
= ( produc1069608854e_name @ ( sK35_SY677 @ SV96 ) @ ( cons_P1213805021e_name @ ( sK43_SY1078 @ SV96 ) @ nil_Pr743626285e_name ) ) )
= $true )
| ( ( SV96
= ( produc1069608854e_name @ ( sK6_SY676 @ SV96 ) @ nil_Pr743626285e_name ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1888]) ).
thf(1936,plain,
! [SV311: list_P227219501e_name,SV214: list_P227219501e_name,SV97: list_P227219501e_name > list_P227219501e_name > $o] :
( ( ( ! [SY1126: produc367475239e_name,SY1127: list_P227219501e_name] :
( ~ ( SV97 @ ( sK79_SY1116 @ SV214 @ SV311 @ SV97 ) @ ( cons_P1213805021e_name @ SY1126 @ SY1127 ) )
| ~ ( SV97 @ ( cons_P1213805021e_name @ ( sK71_SY687 @ SV311 @ SV214 @ SV97 ) @ ( sK79_SY1116 @ SV214 @ SV311 @ SV97 ) ) @ SY1127 )
| ( SV97 @ ( cons_P1213805021e_name @ ( sK71_SY687 @ SV311 @ SV214 @ SV97 ) @ ( sK79_SY1116 @ SV214 @ SV311 @ SV97 ) ) @ ( cons_P1213805021e_name @ SY1126 @ SY1127 ) ) ) )
= $false )
| ( ( SV97 @ SV214 @ SV311 )
= $true )
| ( ( SV97 @ ( sK44_SY686 @ SV311 @ SV214 @ SV97 ) @ nil_Pr743626285e_name )
= $false )
| ( ( SV97 @ nil_Pr743626285e_name @ ( sK18_SY685 @ SV311 @ SV214 @ SV97 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1889]) ).
thf(1937,plain,
! [SV109: list_P227219501e_name] :
( ( ( ! [SY1105: list_P227219501e_name] :
( SV109
!= ( cons_P1213805021e_name @ ( sK61_SY717 @ SV109 ) @ SY1105 ) ) )
= $false )
| ( ( SV109 = nil_Pr743626285e_name )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1890]) ).
thf(1938,plain,
! [SV380: list_P227219501e_name,SV379: produc367475239e_name,SV109: list_P227219501e_name] :
( ( ( ~ ( ( SV109 != nil_Pr743626285e_name ) ) )
= $false )
| ( ( SV109
= ( cons_P1213805021e_name @ SV379 @ SV380 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1891]) ).
thf(1939,plain,
! [SV380: list_P227219501e_name,SV379: produc367475239e_name,SV109: list_P227219501e_name] :
( ( ( ~ ~ ! [SY717: produc367475239e_name] :
~ ~ ! [SY718: list_P227219501e_name] :
( SV109
!= ( cons_P1213805021e_name @ SY717 @ SY718 ) ) )
= $false )
| ( ( SV109
= ( cons_P1213805021e_name @ SV379 @ SV380 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1891]) ).
thf(1940,plain,
! [SV230: list_P227219501e_name,SV117: list_P227219501e_name > $o] :
( ( ( ~ ( SV117 @ ( sK72_SY1106 @ SV230 @ SV117 ) ) )
= $false )
| ( ( SV117 @ SV230 )
= $true )
| ( ( SV117 @ ( cons_P1213805021e_name @ ( sK28_SY736 @ SV230 @ SV117 ) @ nil_Pr743626285e_name ) )
= $false )
| ( ( SV117 @ nil_Pr743626285e_name )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1892]) ).
thf(1941,plain,
! [SV230: list_P227219501e_name,SV117: list_P227219501e_name > $o] :
( ( ( ~ ( SV117 @ ( cons_P1213805021e_name @ ( sK62_SY1092 @ SV230 @ SV117 ) @ ( sK72_SY1106 @ SV230 @ SV117 ) ) )
| ( SV117 @ ( cons_P1213805021e_name @ ( sK52_SY737 @ SV230 @ SV117 ) @ ( cons_P1213805021e_name @ ( sK62_SY1092 @ SV230 @ SV117 ) @ ( sK72_SY1106 @ SV230 @ SV117 ) ) ) ) )
= $false )
| ( ( SV117 @ SV230 )
= $true )
| ( ( SV117 @ ( cons_P1213805021e_name @ ( sK28_SY736 @ SV230 @ SV117 ) @ nil_Pr743626285e_name ) )
= $false )
| ( ( SV117 @ nil_Pr743626285e_name )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1892]) ).
thf(1942,plain,
! [SV364: name,SV231: name,SV327: name,SV119: name] :
( ( ( SV119 != SV327 )
= $false )
| ( ( ( produc1570949143e_name @ SV119 @ SV231 )
= ( produc1570949143e_name @ SV327 @ SV364 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1893]) ).
thf(1943,plain,
! [SV327: name,SV119: name,SV364: name,SV231: name] :
( ( ( SV231 != SV364 )
= $false )
| ( ( ( produc1570949143e_name @ SV119 @ SV231 )
= ( produc1570949143e_name @ SV327 @ SV364 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1893]) ).
thf(1944,plain,
! [SV364: name,SV327: name,SV231: name,SV119: name] :
( ( ( ( ( produc1570949143e_name @ SV119 @ SV231 )
!= ( produc1570949143e_name @ SV327 @ SV364 ) )
| ~ ~ ( ( SV119 != SV327 )
| ( SV231 != SV364 ) ) )
= $false )
| ( ( SV119 = SV327 )
= $false )
| ( ( SV231 = SV364 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1894]) ).
thf(1945,plain,
! [SV123: list_P227219501e_name > $o,SV235: list_P227219501e_name] :
( ( ( ~ ( ( ( sK53_SY759 @ SV235 @ SV123 )
!= ( sK63_SY1094 @ SV123 @ SV235 ) )
| ( SV123 @ ( cons_P1213805021e_name @ ( sK53_SY759 @ SV235 @ SV123 ) @ ( sK73_SY1107 @ SV123 @ SV235 ) ) ) ) )
= $false )
| ( ( SV123 @ SV235 )
= $true )
| ( ( SV123 @ ( cons_P1213805021e_name @ ( sK30_SY758 @ SV235 @ SV123 ) @ nil_Pr743626285e_name ) )
= $false )
| ( ( SV123 @ nil_Pr743626285e_name )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1895]) ).
thf(1946,plain,
! [SV123: list_P227219501e_name > $o,SV235: list_P227219501e_name] :
( ( ( ~ ( ~ ( ( ( sK53_SY759 @ SV235 @ SV123 )
!= ( sK63_SY1094 @ SV123 @ SV235 ) ) )
| ( SV123 @ ( cons_P1213805021e_name @ ( sK63_SY1094 @ SV123 @ SV235 ) @ ( sK73_SY1107 @ SV123 @ SV235 ) ) ) )
| ( SV123 @ ( cons_P1213805021e_name @ ( sK53_SY759 @ SV235 @ SV123 ) @ ( cons_P1213805021e_name @ ( sK63_SY1094 @ SV123 @ SV235 ) @ ( sK73_SY1107 @ SV123 @ SV235 ) ) ) ) )
= $false )
| ( ( SV123 @ SV235 )
= $true )
| ( ( SV123 @ ( cons_P1213805021e_name @ ( sK30_SY758 @ SV235 @ SV123 ) @ nil_Pr743626285e_name ) )
= $false )
| ( ( SV123 @ nil_Pr743626285e_name )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1895]) ).
thf(1947,plain,
! [SV366: list_P227219501e_name,SV240: list_P227219501e_name,SV333: produc367475239e_name,SV128: produc367475239e_name] :
( ( ( SV128 != SV333 )
= $false )
| ( ( ( cons_P1213805021e_name @ SV128 @ SV240 )
= ( cons_P1213805021e_name @ SV333 @ SV366 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1896]) ).
thf(1948,plain,
! [SV333: produc367475239e_name,SV128: produc367475239e_name,SV366: list_P227219501e_name,SV240: list_P227219501e_name] :
( ( ( SV240 != SV366 )
= $false )
| ( ( ( cons_P1213805021e_name @ SV128 @ SV240 )
= ( cons_P1213805021e_name @ SV333 @ SV366 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1896]) ).
thf(1949,plain,
! [SV366: list_P227219501e_name,SV333: produc367475239e_name,SV240: list_P227219501e_name,SV128: produc367475239e_name] :
( ( ( ( ( cons_P1213805021e_name @ SV128 @ SV240 )
!= ( cons_P1213805021e_name @ SV333 @ SV366 ) )
| ~ ~ ( ( SV128 != SV333 )
| ( SV240 != SV366 ) ) )
= $false )
| ( ( SV128 = SV333 )
= $false )
| ( ( SV240 = SV366 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1897]) ).
thf(1950,plain,
! [SV63: $o] :
( ( ( ~ SV63
| ~ $false )
= $false )
| ( SV63 = $false )
| ( SV63 = $false )
| ( SV63 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1898]) ).
thf(1951,plain,
! [SV63: $o] :
( ( ( ~ SV63
| ~ $false )
= $false )
| ( $false = $false )
| ( SV63 = $false )
| ( SV63 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1899]) ).
thf(1952,plain,
! [SV63: $o] :
( ( ( ~ SV63
| ~ $false )
= $false )
| ( SV63 = $false )
| ( SV63 = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1900]) ).
thf(1953,plain,
! [SV63: $o] :
( ( ( ~ SV63
| ~ $false )
= $false )
| ( $false = $false )
| ( SV63 = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1901]) ).
thf(1954,plain,
! [SV63: $o] :
( ( ( ~ SV63
| ~ $false )
= $false )
| ( SV63 = $false )
| ( $true = $false )
| ( SV63 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1902]) ).
thf(1955,plain,
! [SV63: $o] :
( ( ( ~ SV63
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( SV63 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1903]) ).
thf(1956,plain,
! [SV63: $o] :
( ( ( ~ SV63
| ~ $false )
= $false )
| ( SV63 = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1904]) ).
thf(1957,plain,
! [SV63: $o] :
( ( ( ~ SV63
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1905]) ).
thf(1958,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1906]) ).
thf(1959,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1907]) ).
thf(1960,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1908]) ).
thf(1961,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1909]) ).
thf(1962,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1910]) ).
thf(1963,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1911]) ).
thf(1964,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1912]) ).
thf(1965,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1913]) ).
thf(1966,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1914]) ).
thf(1967,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1915]) ).
thf(1968,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1916]) ).
thf(1969,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1917]) ).
thf(1970,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1918]) ).
thf(1971,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1919]) ).
thf(1972,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1920]) ).
thf(1973,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1921]) ).
thf(1974,plain,
! [SV287: list_P227219501e_name,SV187: list_P227219501e_name,SV65: list_P227219501e_name > list_P227219501e_name > $o] :
( ( ( ~ ! [SY568: produc367475239e_name,SY569: list_P227219501e_name,SY570: produc367475239e_name,SY571: list_P227219501e_name] :
( ~ ( SV65 @ SY569 @ SY571 )
| ( SV65 @ ( cons_P1213805021e_name @ SY568 @ SY569 ) @ ( cons_P1213805021e_name @ SY570 @ SY571 ) ) ) )
= $true )
| ( ( SV65 @ SV187 @ SV287 )
= $true )
| ( ( SV65 @ nil_Pr743626285e_name @ ( cons_P1213805021e_name @ ( sK64_SY566 @ SV287 @ SV187 @ SV65 ) @ ( sK74_SY1108 @ SV187 @ SV287 @ SV65 ) ) )
= $false )
| ( ( SV65 @ ( cons_P1213805021e_name @ ( sK31_SY564 @ SV287 @ SV187 @ SV65 ) @ ( sK40_SY1077 @ SV187 @ SV287 @ SV65 ) ) @ nil_Pr743626285e_name )
= $false )
| ( ( SV65 @ nil_Pr743626285e_name @ nil_Pr743626285e_name )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1923]) ).
thf(1975,plain,
! [SV192: produc367475239e_name > produc367475239e_name,SV292: list_P227219501e_name,SV343: list_P227219501e_name,SV71: ( produc367475239e_name > produc367475239e_name ) > list_P227219501e_name > list_P227219501e_name > $o] :
( ( ( ~ ( SV71 @ ( sK57_SY595 @ SV343 @ SV292 @ SV192 @ SV71 ) @ ( sK75_SY1109 @ SV192 @ SV292 @ SV343 @ SV71 ) @ ( cons_P1213805021e_name @ ( sK57_SY595 @ SV343 @ SV292 @ SV192 @ SV71 @ ( sK66_SY1097 @ SV192 @ SV292 @ SV343 @ SV71 ) ) @ ( sK80_SY1119 @ SV192 @ SV292 @ SV343 @ SV71 ) ) )
| ( SV71 @ ( sK57_SY595 @ SV343 @ SV292 @ SV192 @ SV71 ) @ ( cons_P1213805021e_name @ ( sK66_SY1097 @ SV192 @ SV292 @ SV343 @ SV71 ) @ ( sK75_SY1109 @ SV192 @ SV292 @ SV343 @ SV71 ) ) @ ( sK80_SY1119 @ SV192 @ SV292 @ SV343 @ SV71 ) ) )
= $false )
| ( ( SV71 @ SV192 @ SV292 @ SV343 )
= $true )
| ( ( SV71 @ ( sK23_SY593 @ SV343 @ SV292 @ SV192 @ SV71 ) @ nil_Pr743626285e_name @ ( sK32_SY1070 @ SV192 @ SV292 @ SV343 @ SV71 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1926]) ).
thf(1976,plain,
! [SV347: name,SV197: name,SV297: name,SV76: name] :
( ( ( SV76 = SV297 )
= $true )
| ( ( ( produc1570949143e_name @ SV76 @ SV197 )
= ( produc1570949143e_name @ SV297 @ SV347 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1928]) ).
thf(1977,plain,
! [SV297: name,SV76: name,SV347: name,SV197: name] :
( ( ( SV197 = SV347 )
= $true )
| ( ( ( produc1570949143e_name @ SV76 @ SV197 )
= ( produc1570949143e_name @ SV297 @ SV347 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1929]) ).
thf(1978,plain,
! [SV347: name,SV297: name,SV197: name,SV76: name] :
( ( ( ( produc1570949143e_name @ SV76 @ SV197 )
!= ( produc1570949143e_name @ SV297 @ SV347 ) )
= $false )
| ( ( SV76 = SV297 )
= $false )
| ( ( SV197 = SV347 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1930]) ).
thf(1979,plain,
! [SV347: name,SV197: name,SV297: name,SV76: name] :
( ( ( ~ ~ ( ( SV76 != SV297 )
| ( SV197 != SV347 ) ) )
= $false )
| ( ( SV76 = SV297 )
= $false )
| ( ( SV197 = SV347 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1930]) ).
thf(1980,plain,
! [SV79: produc890461031e_name] :
( ( ( SV79
!= ( produc208131031e_name @ ( cons_P1213805021e_name @ ( sK59_SY621 @ SV79 ) @ ( sK68_SY1101 @ SV79 ) ) @ ( cons_P1213805021e_name @ ( sK76_SY1111 @ SV79 ) @ ( sK81_SY1120 @ SV79 ) ) ) )
= $false )
| ( ( SV79
= ( produc208131031e_name @ ( sK33_SY620 @ SV79 ) @ nil_Pr743626285e_name ) )
= $true )
| ( ( SV79
= ( produc208131031e_name @ nil_Pr743626285e_name @ ( sK4_SY619 @ SV79 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1931]) ).
thf(1981,plain,
! [SV207: produc367475239e_name > produc367475239e_name > $o,SV305: list_P227219501e_name,SV89: ( produc367475239e_name > produc367475239e_name > $o ) > list_P227219501e_name > $o] :
( ( ( ! [SY1128: produc367475239e_name,SY1129: list_P227219501e_name] :
( ~ ( SV89 @ ( sK77_SY652 @ SV305 @ SV207 @ SV89 ) @ ( cons_P1213805021e_name @ SY1128 @ SY1129 ) )
| ( SV89 @ ( sK77_SY652 @ SV305 @ SV207 @ SV89 ) @ ( cons_P1213805021e_name @ ( sK82_SY1121 @ SV207 @ SV305 @ SV89 ) @ ( cons_P1213805021e_name @ SY1128 @ SY1129 ) ) ) ) )
= $false )
| ( ( SV89 @ SV207 @ SV305 )
= $true )
| ( ( SV89 @ ( sK42_SY650 @ SV305 @ SV207 @ SV89 ) @ ( cons_P1213805021e_name @ ( sK51_SY1085 @ SV207 @ SV305 @ SV89 ) @ nil_Pr743626285e_name ) )
= $false )
| ( ( SV89 @ ( sK17_SY649 @ SV305 @ SV207 @ SV89 ) @ nil_Pr743626285e_name )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1932]) ).
thf(1982,plain,
! [SV209: list_P227219501e_name > $o,SV91: list_P227219501e_name] :
( ( ( ( sK69_SY1104 @ SV91 @ SV209 )
!= nil_Pr743626285e_name )
= $true )
| ( ( SV209 @ SV91 )
= $true )
| ( ( SV209 @ ( cons_P1213805021e_name @ ( sK34_SY901 @ SV91 @ SV209 ) @ nil_Pr743626285e_name ) )
= $false )
| ( ( SV91 = nil_Pr743626285e_name )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1933]) ).
thf(1983,plain,
! [SV91: list_P227219501e_name,SV209: list_P227219501e_name > $o] :
( ( ( ~ ( SV209 @ ( sK69_SY1104 @ SV91 @ SV209 ) ) )
= $false )
| ( ( SV209 @ SV91 )
= $true )
| ( ( SV209 @ ( cons_P1213805021e_name @ ( sK34_SY901 @ SV91 @ SV209 ) @ nil_Pr743626285e_name ) )
= $false )
| ( ( SV91 = nil_Pr743626285e_name )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1934]) ).
thf(1984,plain,
! [SV91: list_P227219501e_name,SV209: list_P227219501e_name > $o] :
( ( ( SV209 @ ( cons_P1213805021e_name @ ( sK60_SY902 @ SV91 @ SV209 ) @ ( sK69_SY1104 @ SV91 @ SV209 ) ) )
= $false )
| ( ( SV209 @ SV91 )
= $true )
| ( ( SV209 @ ( cons_P1213805021e_name @ ( sK34_SY901 @ SV91 @ SV209 ) @ nil_Pr743626285e_name ) )
= $false )
| ( ( SV91 = nil_Pr743626285e_name )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1934]) ).
thf(1985,plain,
! [SV96: produc1872410278e_name] :
( ( ( ! [SY1130: list_P227219501e_name] :
( SV96
!= ( produc1069608854e_name @ ( sK70_SY679 @ SV96 ) @ ( cons_P1213805021e_name @ ( sK78_SY1113 @ SV96 ) @ ( cons_P1213805021e_name @ ( sK83_SY1124 @ SV96 ) @ SY1130 ) ) ) ) )
= $false )
| ( ( SV96
= ( produc1069608854e_name @ ( sK35_SY677 @ SV96 ) @ ( cons_P1213805021e_name @ ( sK43_SY1078 @ SV96 ) @ nil_Pr743626285e_name ) ) )
= $true )
| ( ( SV96
= ( produc1069608854e_name @ ( sK6_SY676 @ SV96 ) @ nil_Pr743626285e_name ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1935]) ).
thf(1986,plain,
! [SV311: list_P227219501e_name,SV214: list_P227219501e_name,SV97: list_P227219501e_name > list_P227219501e_name > $o] :
( ( ( ! [SY1131: list_P227219501e_name] :
( ~ ( SV97 @ ( sK79_SY1116 @ SV214 @ SV311 @ SV97 ) @ ( cons_P1213805021e_name @ ( sK84_SY1126 @ SV311 @ SV214 @ SV97 ) @ SY1131 ) )
| ~ ( SV97 @ ( cons_P1213805021e_name @ ( sK71_SY687 @ SV311 @ SV214 @ SV97 ) @ ( sK79_SY1116 @ SV214 @ SV311 @ SV97 ) ) @ SY1131 )
| ( SV97 @ ( cons_P1213805021e_name @ ( sK71_SY687 @ SV311 @ SV214 @ SV97 ) @ ( sK79_SY1116 @ SV214 @ SV311 @ SV97 ) ) @ ( cons_P1213805021e_name @ ( sK84_SY1126 @ SV311 @ SV214 @ SV97 ) @ SY1131 ) ) ) )
= $false )
| ( ( SV97 @ SV214 @ SV311 )
= $true )
| ( ( SV97 @ ( sK44_SY686 @ SV311 @ SV214 @ SV97 ) @ nil_Pr743626285e_name )
= $false )
| ( ( SV97 @ nil_Pr743626285e_name @ ( sK18_SY685 @ SV311 @ SV214 @ SV97 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1936]) ).
thf(1987,plain,
! [SV109: list_P227219501e_name] :
( ( ( SV109
!= ( cons_P1213805021e_name @ ( sK61_SY717 @ SV109 ) @ ( sK85_SY1105 @ SV109 ) ) )
= $false )
| ( ( SV109 = nil_Pr743626285e_name )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1937]) ).
thf(1988,plain,
! [SV380: list_P227219501e_name,SV379: produc367475239e_name,SV109: list_P227219501e_name] :
( ( ( SV109 != nil_Pr743626285e_name )
= $true )
| ( ( SV109
= ( cons_P1213805021e_name @ SV379 @ SV380 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1938]) ).
thf(1989,plain,
! [SV380: list_P227219501e_name,SV379: produc367475239e_name,SV109: list_P227219501e_name] :
( ( ( ~ ! [SY717: produc367475239e_name] :
~ ~ ! [SY718: list_P227219501e_name] :
( SV109
!= ( cons_P1213805021e_name @ SY717 @ SY718 ) ) )
= $true )
| ( ( SV109
= ( cons_P1213805021e_name @ SV379 @ SV380 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1939]) ).
thf(1990,plain,
! [SV230: list_P227219501e_name,SV117: list_P227219501e_name > $o] :
( ( ( SV117 @ ( sK72_SY1106 @ SV230 @ SV117 ) )
= $true )
| ( ( SV117 @ SV230 )
= $true )
| ( ( SV117 @ ( cons_P1213805021e_name @ ( sK28_SY736 @ SV230 @ SV117 ) @ nil_Pr743626285e_name ) )
= $false )
| ( ( SV117 @ nil_Pr743626285e_name )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1940]) ).
thf(1991,plain,
! [SV230: list_P227219501e_name,SV117: list_P227219501e_name > $o] :
( ( ( ~ ( SV117 @ ( cons_P1213805021e_name @ ( sK62_SY1092 @ SV230 @ SV117 ) @ ( sK72_SY1106 @ SV230 @ SV117 ) ) ) )
= $false )
| ( ( SV117 @ SV230 )
= $true )
| ( ( SV117 @ ( cons_P1213805021e_name @ ( sK28_SY736 @ SV230 @ SV117 ) @ nil_Pr743626285e_name ) )
= $false )
| ( ( SV117 @ nil_Pr743626285e_name )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1941]) ).
thf(1992,plain,
! [SV230: list_P227219501e_name,SV117: list_P227219501e_name > $o] :
( ( ( SV117 @ ( cons_P1213805021e_name @ ( sK52_SY737 @ SV230 @ SV117 ) @ ( cons_P1213805021e_name @ ( sK62_SY1092 @ SV230 @ SV117 ) @ ( sK72_SY1106 @ SV230 @ SV117 ) ) ) )
= $false )
| ( ( SV117 @ SV230 )
= $true )
| ( ( SV117 @ ( cons_P1213805021e_name @ ( sK28_SY736 @ SV230 @ SV117 ) @ nil_Pr743626285e_name ) )
= $false )
| ( ( SV117 @ nil_Pr743626285e_name )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1941]) ).
thf(1993,plain,
! [SV364: name,SV231: name,SV327: name,SV119: name] :
( ( ( SV119 = SV327 )
= $true )
| ( ( ( produc1570949143e_name @ SV119 @ SV231 )
= ( produc1570949143e_name @ SV327 @ SV364 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1942]) ).
thf(1994,plain,
! [SV327: name,SV119: name,SV364: name,SV231: name] :
( ( ( SV231 = SV364 )
= $true )
| ( ( ( produc1570949143e_name @ SV119 @ SV231 )
= ( produc1570949143e_name @ SV327 @ SV364 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1943]) ).
thf(1995,plain,
! [SV364: name,SV327: name,SV231: name,SV119: name] :
( ( ( ( produc1570949143e_name @ SV119 @ SV231 )
!= ( produc1570949143e_name @ SV327 @ SV364 ) )
= $false )
| ( ( SV119 = SV327 )
= $false )
| ( ( SV231 = SV364 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1944]) ).
thf(1996,plain,
! [SV364: name,SV231: name,SV327: name,SV119: name] :
( ( ( ~ ~ ( ( SV119 != SV327 )
| ( SV231 != SV364 ) ) )
= $false )
| ( ( SV119 = SV327 )
= $false )
| ( ( SV231 = SV364 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1944]) ).
thf(1997,plain,
! [SV123: list_P227219501e_name > $o,SV235: list_P227219501e_name] :
( ( ( ( ( sK53_SY759 @ SV235 @ SV123 )
!= ( sK63_SY1094 @ SV123 @ SV235 ) )
| ( SV123 @ ( cons_P1213805021e_name @ ( sK53_SY759 @ SV235 @ SV123 ) @ ( sK73_SY1107 @ SV123 @ SV235 ) ) ) )
= $true )
| ( ( SV123 @ SV235 )
= $true )
| ( ( SV123 @ ( cons_P1213805021e_name @ ( sK30_SY758 @ SV235 @ SV123 ) @ nil_Pr743626285e_name ) )
= $false )
| ( ( SV123 @ nil_Pr743626285e_name )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1945]) ).
thf(1998,plain,
! [SV123: list_P227219501e_name > $o,SV235: list_P227219501e_name] :
( ( ( ~ ( ~ ( ( ( sK53_SY759 @ SV235 @ SV123 )
!= ( sK63_SY1094 @ SV123 @ SV235 ) ) )
| ( SV123 @ ( cons_P1213805021e_name @ ( sK63_SY1094 @ SV123 @ SV235 ) @ ( sK73_SY1107 @ SV123 @ SV235 ) ) ) ) )
= $false )
| ( ( SV123 @ SV235 )
= $true )
| ( ( SV123 @ ( cons_P1213805021e_name @ ( sK30_SY758 @ SV235 @ SV123 ) @ nil_Pr743626285e_name ) )
= $false )
| ( ( SV123 @ nil_Pr743626285e_name )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1946]) ).
thf(1999,plain,
! [SV235: list_P227219501e_name,SV123: list_P227219501e_name > $o] :
( ( ( SV123 @ ( cons_P1213805021e_name @ ( sK53_SY759 @ SV235 @ SV123 ) @ ( cons_P1213805021e_name @ ( sK63_SY1094 @ SV123 @ SV235 ) @ ( sK73_SY1107 @ SV123 @ SV235 ) ) ) )
= $false )
| ( ( SV123 @ SV235 )
= $true )
| ( ( SV123 @ ( cons_P1213805021e_name @ ( sK30_SY758 @ SV235 @ SV123 ) @ nil_Pr743626285e_name ) )
= $false )
| ( ( SV123 @ nil_Pr743626285e_name )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1946]) ).
thf(2000,plain,
! [SV366: list_P227219501e_name,SV240: list_P227219501e_name,SV333: produc367475239e_name,SV128: produc367475239e_name] :
( ( ( SV128 = SV333 )
= $true )
| ( ( ( cons_P1213805021e_name @ SV128 @ SV240 )
= ( cons_P1213805021e_name @ SV333 @ SV366 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1947]) ).
thf(2001,plain,
! [SV333: produc367475239e_name,SV128: produc367475239e_name,SV366: list_P227219501e_name,SV240: list_P227219501e_name] :
( ( ( SV240 = SV366 )
= $true )
| ( ( ( cons_P1213805021e_name @ SV128 @ SV240 )
= ( cons_P1213805021e_name @ SV333 @ SV366 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1948]) ).
thf(2002,plain,
! [SV366: list_P227219501e_name,SV333: produc367475239e_name,SV240: list_P227219501e_name,SV128: produc367475239e_name] :
( ( ( ( cons_P1213805021e_name @ SV128 @ SV240 )
!= ( cons_P1213805021e_name @ SV333 @ SV366 ) )
= $false )
| ( ( SV128 = SV333 )
= $false )
| ( ( SV240 = SV366 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1949]) ).
thf(2003,plain,
! [SV366: list_P227219501e_name,SV240: list_P227219501e_name,SV333: produc367475239e_name,SV128: produc367475239e_name] :
( ( ( ~ ~ ( ( SV128 != SV333 )
| ( SV240 != SV366 ) ) )
= $false )
| ( ( SV128 = SV333 )
= $false )
| ( ( SV240 = SV366 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1949]) ).
thf(2004,plain,
! [SV63: $o] :
( ( ( ~ SV63 ) = $false )
| ( SV63 = $false )
| ( SV63 = $false )
| ( SV63 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1950]) ).
thf(2005,plain,
! [SV63: $o] :
( ( ( ~ $false ) = $false )
| ( SV63 = $false )
| ( SV63 = $false )
| ( SV63 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1950]) ).
thf(2006,plain,
! [SV63: $o] :
( ( ( ~ SV63 ) = $false )
| ( $false = $false )
| ( SV63 = $false )
| ( SV63 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1951]) ).
thf(2007,plain,
! [SV63: $o] :
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( SV63 = $false )
| ( SV63 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1951]) ).
thf(2008,plain,
! [SV63: $o] :
( ( ( ~ SV63 ) = $false )
| ( SV63 = $false )
| ( SV63 = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1952]) ).
thf(2009,plain,
! [SV63: $o] :
( ( ( ~ $false ) = $false )
| ( SV63 = $false )
| ( SV63 = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1952]) ).
thf(2010,plain,
! [SV63: $o] :
( ( ( ~ SV63 ) = $false )
| ( $false = $false )
| ( SV63 = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1953]) ).
thf(2011,plain,
! [SV63: $o] :
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( SV63 = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1953]) ).
thf(2012,plain,
! [SV63: $o] :
( ( ( ~ SV63 ) = $false )
| ( SV63 = $false )
| ( $true = $false )
| ( SV63 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1954]) ).
thf(2013,plain,
! [SV63: $o] :
( ( ( ~ $false ) = $false )
| ( SV63 = $false )
| ( $true = $false )
| ( SV63 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1954]) ).
thf(2014,plain,
! [SV63: $o] :
( ( ( ~ SV63 ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( SV63 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1955]) ).
thf(2015,plain,
! [SV63: $o] :
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( SV63 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1955]) ).
thf(2016,plain,
! [SV63: $o] :
( ( ( ~ SV63 ) = $false )
| ( SV63 = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1956]) ).
thf(2017,plain,
! [SV63: $o] :
( ( ( ~ $false ) = $false )
| ( SV63 = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1956]) ).
thf(2018,plain,
! [SV63: $o] :
( ( ( ~ SV63 ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1957]) ).
thf(2019,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1957]) ).
thf(2020,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1958]) ).
thf(2021,plain,
( ( ( ~ $false ) = $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1958]) ).
thf(2022,plain,
( ( ( ~ $true ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1959]) ).
thf(2023,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1959]) ).
thf(2024,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1960]) ).
thf(2025,plain,
( ( ( ~ $false ) = $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1960]) ).
thf(2026,plain,
( ( ( ~ $true ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1961]) ).
thf(2027,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1961]) ).
thf(2028,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1962]) ).
thf(2029,plain,
( ( ( ~ $false ) = $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1962]) ).
thf(2030,plain,
( ( ( ~ $true ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1963]) ).
thf(2031,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1963]) ).
thf(2032,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1964]) ).
thf(2033,plain,
( ( ( ~ $false ) = $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1964]) ).
thf(2034,plain,
( ( ( ~ $true ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1965]) ).
thf(2035,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1965]) ).
thf(2036,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1966]) ).
thf(2037,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1966]) ).
thf(2038,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1967]) ).
thf(2039,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1967]) ).
thf(2040,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1968]) ).
thf(2041,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1968]) ).
thf(2042,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1969]) ).
thf(2043,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1969]) ).
thf(2044,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1970]) ).
thf(2045,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1970]) ).
thf(2046,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1971]) ).
thf(2047,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1971]) ).
thf(2048,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1972]) ).
thf(2049,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1972]) ).
thf(2050,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1973]) ).
thf(2051,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1973]) ).
thf(2052,plain,
! [SV287: list_P227219501e_name,SV187: list_P227219501e_name,SV65: list_P227219501e_name > list_P227219501e_name > $o] :
( ( ( ! [SY568: produc367475239e_name,SY569: list_P227219501e_name,SY570: produc367475239e_name,SY571: list_P227219501e_name] :
( ~ ( SV65 @ SY569 @ SY571 )
| ( SV65 @ ( cons_P1213805021e_name @ SY568 @ SY569 ) @ ( cons_P1213805021e_name @ SY570 @ SY571 ) ) ) )
= $false )
| ( ( SV65 @ SV187 @ SV287 )
= $true )
| ( ( SV65 @ nil_Pr743626285e_name @ ( cons_P1213805021e_name @ ( sK64_SY566 @ SV287 @ SV187 @ SV65 ) @ ( sK74_SY1108 @ SV187 @ SV287 @ SV65 ) ) )
= $false )
| ( ( SV65 @ ( cons_P1213805021e_name @ ( sK31_SY564 @ SV287 @ SV187 @ SV65 ) @ ( sK40_SY1077 @ SV187 @ SV287 @ SV65 ) ) @ nil_Pr743626285e_name )
= $false )
| ( ( SV65 @ nil_Pr743626285e_name @ nil_Pr743626285e_name )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1974]) ).
thf(2053,plain,
! [SV192: produc367475239e_name > produc367475239e_name,SV292: list_P227219501e_name,SV343: list_P227219501e_name,SV71: ( produc367475239e_name > produc367475239e_name ) > list_P227219501e_name > list_P227219501e_name > $o] :
( ( ( ~ ( SV71 @ ( sK57_SY595 @ SV343 @ SV292 @ SV192 @ SV71 ) @ ( sK75_SY1109 @ SV192 @ SV292 @ SV343 @ SV71 ) @ ( cons_P1213805021e_name @ ( sK57_SY595 @ SV343 @ SV292 @ SV192 @ SV71 @ ( sK66_SY1097 @ SV192 @ SV292 @ SV343 @ SV71 ) ) @ ( sK80_SY1119 @ SV192 @ SV292 @ SV343 @ SV71 ) ) ) )
= $false )
| ( ( SV71 @ SV192 @ SV292 @ SV343 )
= $true )
| ( ( SV71 @ ( sK23_SY593 @ SV343 @ SV292 @ SV192 @ SV71 ) @ nil_Pr743626285e_name @ ( sK32_SY1070 @ SV192 @ SV292 @ SV343 @ SV71 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1975]) ).
thf(2054,plain,
! [SV192: produc367475239e_name > produc367475239e_name,SV292: list_P227219501e_name,SV343: list_P227219501e_name,SV71: ( produc367475239e_name > produc367475239e_name ) > list_P227219501e_name > list_P227219501e_name > $o] :
( ( ( SV71 @ ( sK57_SY595 @ SV343 @ SV292 @ SV192 @ SV71 ) @ ( cons_P1213805021e_name @ ( sK66_SY1097 @ SV192 @ SV292 @ SV343 @ SV71 ) @ ( sK75_SY1109 @ SV192 @ SV292 @ SV343 @ SV71 ) ) @ ( sK80_SY1119 @ SV192 @ SV292 @ SV343 @ SV71 ) )
= $false )
| ( ( SV71 @ SV192 @ SV292 @ SV343 )
= $true )
| ( ( SV71 @ ( sK23_SY593 @ SV343 @ SV292 @ SV192 @ SV71 ) @ nil_Pr743626285e_name @ ( sK32_SY1070 @ SV192 @ SV292 @ SV343 @ SV71 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1975]) ).
thf(2055,plain,
! [SV347: name,SV297: name,SV197: name,SV76: name] :
( ( ( ( produc1570949143e_name @ SV76 @ SV197 )
= ( produc1570949143e_name @ SV297 @ SV347 ) )
= $true )
| ( ( SV76 = SV297 )
= $false )
| ( ( SV197 = SV347 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1978]) ).
thf(2056,plain,
! [SV347: name,SV197: name,SV297: name,SV76: name] :
( ( ( ~ ( ( SV76 != SV297 )
| ( SV197 != SV347 ) ) )
= $true )
| ( ( SV76 = SV297 )
= $false )
| ( ( SV197 = SV347 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1979]) ).
thf(2057,plain,
! [SV79: produc890461031e_name] :
( ( ( SV79
= ( produc208131031e_name @ ( cons_P1213805021e_name @ ( sK59_SY621 @ SV79 ) @ ( sK68_SY1101 @ SV79 ) ) @ ( cons_P1213805021e_name @ ( sK76_SY1111 @ SV79 ) @ ( sK81_SY1120 @ SV79 ) ) ) )
= $true )
| ( ( SV79
= ( produc208131031e_name @ ( sK33_SY620 @ SV79 ) @ nil_Pr743626285e_name ) )
= $true )
| ( ( SV79
= ( produc208131031e_name @ nil_Pr743626285e_name @ ( sK4_SY619 @ SV79 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1980]) ).
thf(2058,plain,
! [SV207: produc367475239e_name > produc367475239e_name > $o,SV305: list_P227219501e_name,SV89: ( produc367475239e_name > produc367475239e_name > $o ) > list_P227219501e_name > $o] :
( ( ( ! [SY1132: list_P227219501e_name] :
( ~ ( SV89 @ ( sK77_SY652 @ SV305 @ SV207 @ SV89 ) @ ( cons_P1213805021e_name @ ( sK86_SY1128 @ SV207 @ SV305 @ SV89 ) @ SY1132 ) )
| ( SV89 @ ( sK77_SY652 @ SV305 @ SV207 @ SV89 ) @ ( cons_P1213805021e_name @ ( sK82_SY1121 @ SV207 @ SV305 @ SV89 ) @ ( cons_P1213805021e_name @ ( sK86_SY1128 @ SV207 @ SV305 @ SV89 ) @ SY1132 ) ) ) ) )
= $false )
| ( ( SV89 @ SV207 @ SV305 )
= $true )
| ( ( SV89 @ ( sK42_SY650 @ SV305 @ SV207 @ SV89 ) @ ( cons_P1213805021e_name @ ( sK51_SY1085 @ SV207 @ SV305 @ SV89 ) @ nil_Pr743626285e_name ) )
= $false )
| ( ( SV89 @ ( sK17_SY649 @ SV305 @ SV207 @ SV89 ) @ nil_Pr743626285e_name )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1981]) ).
thf(2059,plain,
! [SV209: list_P227219501e_name > $o,SV91: list_P227219501e_name] :
( ( ( ( sK69_SY1104 @ SV91 @ SV209 )
= nil_Pr743626285e_name )
= $false )
| ( ( SV209 @ SV91 )
= $true )
| ( ( SV209 @ ( cons_P1213805021e_name @ ( sK34_SY901 @ SV91 @ SV209 ) @ nil_Pr743626285e_name ) )
= $false )
| ( ( SV91 = nil_Pr743626285e_name )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1982]) ).
thf(2060,plain,
! [SV91: list_P227219501e_name,SV209: list_P227219501e_name > $o] :
( ( ( SV209 @ ( sK69_SY1104 @ SV91 @ SV209 ) )
= $true )
| ( ( SV209 @ SV91 )
= $true )
| ( ( SV209 @ ( cons_P1213805021e_name @ ( sK34_SY901 @ SV91 @ SV209 ) @ nil_Pr743626285e_name ) )
= $false )
| ( ( SV91 = nil_Pr743626285e_name )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1983]) ).
thf(2061,plain,
! [SV96: produc1872410278e_name] :
( ( ( SV96
!= ( produc1069608854e_name @ ( sK70_SY679 @ SV96 ) @ ( cons_P1213805021e_name @ ( sK78_SY1113 @ SV96 ) @ ( cons_P1213805021e_name @ ( sK83_SY1124 @ SV96 ) @ ( sK87_SY1130 @ SV96 ) ) ) ) )
= $false )
| ( ( SV96
= ( produc1069608854e_name @ ( sK35_SY677 @ SV96 ) @ ( cons_P1213805021e_name @ ( sK43_SY1078 @ SV96 ) @ nil_Pr743626285e_name ) ) )
= $true )
| ( ( SV96
= ( produc1069608854e_name @ ( sK6_SY676 @ SV96 ) @ nil_Pr743626285e_name ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1985]) ).
thf(2062,plain,
! [SV311: list_P227219501e_name,SV214: list_P227219501e_name,SV97: list_P227219501e_name > list_P227219501e_name > $o] :
( ( ( ~ ( SV97 @ ( sK79_SY1116 @ SV214 @ SV311 @ SV97 ) @ ( cons_P1213805021e_name @ ( sK84_SY1126 @ SV311 @ SV214 @ SV97 ) @ ( sK88_SY1131 @ SV311 @ SV214 @ SV97 ) ) )
| ~ ( SV97 @ ( cons_P1213805021e_name @ ( sK71_SY687 @ SV311 @ SV214 @ SV97 ) @ ( sK79_SY1116 @ SV214 @ SV311 @ SV97 ) ) @ ( sK88_SY1131 @ SV311 @ SV214 @ SV97 ) )
| ( SV97 @ ( cons_P1213805021e_name @ ( sK71_SY687 @ SV311 @ SV214 @ SV97 ) @ ( sK79_SY1116 @ SV214 @ SV311 @ SV97 ) ) @ ( cons_P1213805021e_name @ ( sK84_SY1126 @ SV311 @ SV214 @ SV97 ) @ ( sK88_SY1131 @ SV311 @ SV214 @ SV97 ) ) ) )
= $false )
| ( ( SV97 @ SV214 @ SV311 )
= $true )
| ( ( SV97 @ ( sK44_SY686 @ SV311 @ SV214 @ SV97 ) @ nil_Pr743626285e_name )
= $false )
| ( ( SV97 @ nil_Pr743626285e_name @ ( sK18_SY685 @ SV311 @ SV214 @ SV97 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1986]) ).
thf(2063,plain,
! [SV109: list_P227219501e_name] :
( ( ( SV109
= ( cons_P1213805021e_name @ ( sK61_SY717 @ SV109 ) @ ( sK85_SY1105 @ SV109 ) ) )
= $true )
| ( ( SV109 = nil_Pr743626285e_name )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1987]) ).
thf(2064,plain,
! [SV380: list_P227219501e_name,SV379: produc367475239e_name,SV109: list_P227219501e_name] :
( ( ( SV109 = nil_Pr743626285e_name )
= $false )
| ( ( SV109
= ( cons_P1213805021e_name @ SV379 @ SV380 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1988]) ).
thf(2065,plain,
! [SV380: list_P227219501e_name,SV379: produc367475239e_name,SV109: list_P227219501e_name] :
( ( ( ! [SY717: produc367475239e_name] :
~ ~ ! [SY718: list_P227219501e_name] :
( SV109
!= ( cons_P1213805021e_name @ SY717 @ SY718 ) ) )
= $false )
| ( ( SV109
= ( cons_P1213805021e_name @ SV379 @ SV380 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1989]) ).
thf(2066,plain,
! [SV230: list_P227219501e_name,SV117: list_P227219501e_name > $o] :
( ( ( SV117 @ ( cons_P1213805021e_name @ ( sK62_SY1092 @ SV230 @ SV117 ) @ ( sK72_SY1106 @ SV230 @ SV117 ) ) )
= $true )
| ( ( SV117 @ SV230 )
= $true )
| ( ( SV117 @ ( cons_P1213805021e_name @ ( sK28_SY736 @ SV230 @ SV117 ) @ nil_Pr743626285e_name ) )
= $false )
| ( ( SV117 @ nil_Pr743626285e_name )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1991]) ).
thf(2067,plain,
! [SV364: name,SV327: name,SV231: name,SV119: name] :
( ( ( ( produc1570949143e_name @ SV119 @ SV231 )
= ( produc1570949143e_name @ SV327 @ SV364 ) )
= $true )
| ( ( SV119 = SV327 )
= $false )
| ( ( SV231 = SV364 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1995]) ).
thf(2068,plain,
! [SV364: name,SV231: name,SV327: name,SV119: name] :
( ( ( ~ ( ( SV119 != SV327 )
| ( SV231 != SV364 ) ) )
= $true )
| ( ( SV119 = SV327 )
= $false )
| ( ( SV231 = SV364 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1996]) ).
thf(2069,plain,
! [SV123: list_P227219501e_name > $o,SV235: list_P227219501e_name] :
( ( ( ( sK53_SY759 @ SV235 @ SV123 )
!= ( sK63_SY1094 @ SV123 @ SV235 ) )
= $true )
| ( ( SV123 @ ( cons_P1213805021e_name @ ( sK53_SY759 @ SV235 @ SV123 ) @ ( sK73_SY1107 @ SV123 @ SV235 ) ) )
= $true )
| ( ( SV123 @ SV235 )
= $true )
| ( ( SV123 @ ( cons_P1213805021e_name @ ( sK30_SY758 @ SV235 @ SV123 ) @ nil_Pr743626285e_name ) )
= $false )
| ( ( SV123 @ nil_Pr743626285e_name )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1997]) ).
thf(2070,plain,
! [SV123: list_P227219501e_name > $o,SV235: list_P227219501e_name] :
( ( ( ~ ( ( ( sK53_SY759 @ SV235 @ SV123 )
!= ( sK63_SY1094 @ SV123 @ SV235 ) ) )
| ( SV123 @ ( cons_P1213805021e_name @ ( sK63_SY1094 @ SV123 @ SV235 ) @ ( sK73_SY1107 @ SV123 @ SV235 ) ) ) )
= $true )
| ( ( SV123 @ SV235 )
= $true )
| ( ( SV123 @ ( cons_P1213805021e_name @ ( sK30_SY758 @ SV235 @ SV123 ) @ nil_Pr743626285e_name ) )
= $false )
| ( ( SV123 @ nil_Pr743626285e_name )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1998]) ).
thf(2071,plain,
! [SV366: list_P227219501e_name,SV333: produc367475239e_name,SV240: list_P227219501e_name,SV128: produc367475239e_name] :
( ( ( ( cons_P1213805021e_name @ SV128 @ SV240 )
= ( cons_P1213805021e_name @ SV333 @ SV366 ) )
= $true )
| ( ( SV128 = SV333 )
= $false )
| ( ( SV240 = SV366 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2002]) ).
thf(2072,plain,
! [SV366: list_P227219501e_name,SV240: list_P227219501e_name,SV333: produc367475239e_name,SV128: produc367475239e_name] :
( ( ( ~ ( ( SV128 != SV333 )
| ( SV240 != SV366 ) ) )
= $true )
| ( ( SV128 = SV333 )
= $false )
| ( ( SV240 = SV366 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2003]) ).
thf(2073,plain,
! [SV63: $o] :
( ( SV63 = $true )
| ( SV63 = $false )
| ( SV63 = $false )
| ( SV63 = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2004]) ).
thf(2074,plain,
! [SV63: $o] :
( ( $false = $true )
| ( SV63 = $false )
| ( SV63 = $false )
| ( SV63 = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2005]) ).
thf(2075,plain,
! [SV63: $o] :
( ( SV63 = $true )
| ( $false = $false )
| ( SV63 = $false )
| ( SV63 = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2006]) ).
thf(2076,plain,
! [SV63: $o] :
( ( $false = $true )
| ( $false = $false )
| ( SV63 = $false )
| ( SV63 = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2007]) ).
thf(2077,plain,
! [SV63: $o] :
( ( SV63 = $true )
| ( SV63 = $false )
| ( SV63 = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2008]) ).
thf(2078,plain,
! [SV63: $o] :
( ( $false = $true )
| ( SV63 = $false )
| ( SV63 = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2009]) ).
thf(2079,plain,
! [SV63: $o] :
( ( SV63 = $true )
| ( $false = $false )
| ( SV63 = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2010]) ).
thf(2080,plain,
! [SV63: $o] :
( ( $false = $true )
| ( $false = $false )
| ( SV63 = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2011]) ).
thf(2081,plain,
! [SV63: $o] :
( ( SV63 = $true )
| ( SV63 = $false )
| ( $true = $false )
| ( SV63 = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2012]) ).
thf(2082,plain,
! [SV63: $o] :
( ( $false = $true )
| ( SV63 = $false )
| ( $true = $false )
| ( SV63 = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2013]) ).
thf(2083,plain,
! [SV63: $o] :
( ( SV63 = $true )
| ( $false = $false )
| ( $true = $false )
| ( SV63 = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2014]) ).
thf(2084,plain,
! [SV63: $o] :
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( SV63 = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2015]) ).
thf(2085,plain,
! [SV63: $o] :
( ( SV63 = $true )
| ( SV63 = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2016]) ).
thf(2086,plain,
! [SV63: $o] :
( ( $false = $true )
| ( SV63 = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2017]) ).
thf(2087,plain,
! [SV63: $o] :
( ( SV63 = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2018]) ).
thf(2088,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2019]) ).
thf(2089,plain,
( ( $true = $true )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2020]) ).
thf(2090,plain,
( ( $false = $true )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2021]) ).
thf(2091,plain,
( ( $true = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2022]) ).
thf(2092,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2023]) ).
thf(2093,plain,
( ( $true = $true )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2024]) ).
thf(2094,plain,
( ( $false = $true )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2025]) ).
thf(2095,plain,
( ( $true = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2026]) ).
thf(2096,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2027]) ).
thf(2097,plain,
( ( $true = $true )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2028]) ).
thf(2098,plain,
( ( $false = $true )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2029]) ).
thf(2099,plain,
( ( $true = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2030]) ).
thf(2100,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2031]) ).
thf(2101,plain,
( ( $true = $true )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2032]) ).
thf(2102,plain,
( ( $false = $true )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2033]) ).
thf(2103,plain,
( ( $true = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2034]) ).
thf(2104,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2035]) ).
thf(2105,plain,
( ( $false = $true )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2036]) ).
thf(2106,plain,
( ( $false = $true )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2037]) ).
thf(2107,plain,
( ( $false = $true )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2038]) ).
thf(2108,plain,
( ( $false = $true )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2039]) ).
thf(2109,plain,
( ( $false = $true )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2040]) ).
thf(2110,plain,
( ( $false = $true )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2041]) ).
thf(2111,plain,
( ( $false = $true )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2042]) ).
thf(2112,plain,
( ( $false = $true )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2043]) ).
thf(2113,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2044]) ).
thf(2114,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2045]) ).
thf(2115,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2046]) ).
thf(2116,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2047]) ).
thf(2117,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2048]) ).
thf(2118,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2049]) ).
thf(2119,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2050]) ).
thf(2120,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2051]) ).
thf(2121,plain,
! [SV187: list_P227219501e_name,SV287: list_P227219501e_name,SV65: list_P227219501e_name > list_P227219501e_name > $o] :
( ( ( ! [SY1133: list_P227219501e_name,SY1134: produc367475239e_name,SY1135: list_P227219501e_name] :
( ~ ( SV65 @ SY1133 @ SY1135 )
| ( SV65 @ ( cons_P1213805021e_name @ ( sK89_SY568 @ SV287 @ SV187 @ SV65 ) @ SY1133 ) @ ( cons_P1213805021e_name @ SY1134 @ SY1135 ) ) ) )
= $false )
| ( ( SV65 @ SV187 @ SV287 )
= $true )
| ( ( SV65 @ nil_Pr743626285e_name @ ( cons_P1213805021e_name @ ( sK64_SY566 @ SV287 @ SV187 @ SV65 ) @ ( sK74_SY1108 @ SV187 @ SV287 @ SV65 ) ) )
= $false )
| ( ( SV65 @ ( cons_P1213805021e_name @ ( sK31_SY564 @ SV287 @ SV187 @ SV65 ) @ ( sK40_SY1077 @ SV187 @ SV287 @ SV65 ) ) @ nil_Pr743626285e_name )
= $false )
| ( ( SV65 @ nil_Pr743626285e_name @ nil_Pr743626285e_name )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2052]) ).
thf(2122,plain,
! [SV192: produc367475239e_name > produc367475239e_name,SV292: list_P227219501e_name,SV343: list_P227219501e_name,SV71: ( produc367475239e_name > produc367475239e_name ) > list_P227219501e_name > list_P227219501e_name > $o] :
( ( ( SV71 @ ( sK57_SY595 @ SV343 @ SV292 @ SV192 @ SV71 ) @ ( sK75_SY1109 @ SV192 @ SV292 @ SV343 @ SV71 ) @ ( cons_P1213805021e_name @ ( sK57_SY595 @ SV343 @ SV292 @ SV192 @ SV71 @ ( sK66_SY1097 @ SV192 @ SV292 @ SV343 @ SV71 ) ) @ ( sK80_SY1119 @ SV192 @ SV292 @ SV343 @ SV71 ) ) )
= $true )
| ( ( SV71 @ SV192 @ SV292 @ SV343 )
= $true )
| ( ( SV71 @ ( sK23_SY593 @ SV343 @ SV292 @ SV192 @ SV71 ) @ nil_Pr743626285e_name @ ( sK32_SY1070 @ SV192 @ SV292 @ SV343 @ SV71 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2053]) ).
thf(2123,plain,
! [SV347: name,SV197: name,SV297: name,SV76: name] :
( ( ( ( SV76 != SV297 )
| ( SV197 != SV347 ) )
= $false )
| ( ( SV76 = SV297 )
= $false )
| ( ( SV197 = SV347 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2056]) ).
thf(2124,plain,
! [SV207: produc367475239e_name > produc367475239e_name > $o,SV305: list_P227219501e_name,SV89: ( produc367475239e_name > produc367475239e_name > $o ) > list_P227219501e_name > $o] :
( ( ( ~ ( SV89 @ ( sK77_SY652 @ SV305 @ SV207 @ SV89 ) @ ( cons_P1213805021e_name @ ( sK86_SY1128 @ SV207 @ SV305 @ SV89 ) @ ( sK90_SY1132 @ SV207 @ SV305 @ SV89 ) ) )
| ( SV89 @ ( sK77_SY652 @ SV305 @ SV207 @ SV89 ) @ ( cons_P1213805021e_name @ ( sK82_SY1121 @ SV207 @ SV305 @ SV89 ) @ ( cons_P1213805021e_name @ ( sK86_SY1128 @ SV207 @ SV305 @ SV89 ) @ ( sK90_SY1132 @ SV207 @ SV305 @ SV89 ) ) ) ) )
= $false )
| ( ( SV89 @ SV207 @ SV305 )
= $true )
| ( ( SV89 @ ( sK42_SY650 @ SV305 @ SV207 @ SV89 ) @ ( cons_P1213805021e_name @ ( sK51_SY1085 @ SV207 @ SV305 @ SV89 ) @ nil_Pr743626285e_name ) )
= $false )
| ( ( SV89 @ ( sK17_SY649 @ SV305 @ SV207 @ SV89 ) @ nil_Pr743626285e_name )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2058]) ).
thf(2125,plain,
! [SV96: produc1872410278e_name] :
( ( ( SV96
= ( produc1069608854e_name @ ( sK70_SY679 @ SV96 ) @ ( cons_P1213805021e_name @ ( sK78_SY1113 @ SV96 ) @ ( cons_P1213805021e_name @ ( sK83_SY1124 @ SV96 ) @ ( sK87_SY1130 @ SV96 ) ) ) ) )
= $true )
| ( ( SV96
= ( produc1069608854e_name @ ( sK35_SY677 @ SV96 ) @ ( cons_P1213805021e_name @ ( sK43_SY1078 @ SV96 ) @ nil_Pr743626285e_name ) ) )
= $true )
| ( ( SV96
= ( produc1069608854e_name @ ( sK6_SY676 @ SV96 ) @ nil_Pr743626285e_name ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2061]) ).
thf(2126,plain,
! [SV311: list_P227219501e_name,SV214: list_P227219501e_name,SV97: list_P227219501e_name > list_P227219501e_name > $o] :
( ( ( ~ ( SV97 @ ( sK79_SY1116 @ SV214 @ SV311 @ SV97 ) @ ( cons_P1213805021e_name @ ( sK84_SY1126 @ SV311 @ SV214 @ SV97 ) @ ( sK88_SY1131 @ SV311 @ SV214 @ SV97 ) ) ) )
= $false )
| ( ( SV97 @ SV214 @ SV311 )
= $true )
| ( ( SV97 @ ( sK44_SY686 @ SV311 @ SV214 @ SV97 ) @ nil_Pr743626285e_name )
= $false )
| ( ( SV97 @ nil_Pr743626285e_name @ ( sK18_SY685 @ SV311 @ SV214 @ SV97 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2062]) ).
thf(2127,plain,
! [SV214: list_P227219501e_name,SV311: list_P227219501e_name,SV97: list_P227219501e_name > list_P227219501e_name > $o] :
( ( ( ~ ( SV97 @ ( cons_P1213805021e_name @ ( sK71_SY687 @ SV311 @ SV214 @ SV97 ) @ ( sK79_SY1116 @ SV214 @ SV311 @ SV97 ) ) @ ( sK88_SY1131 @ SV311 @ SV214 @ SV97 ) )
| ( SV97 @ ( cons_P1213805021e_name @ ( sK71_SY687 @ SV311 @ SV214 @ SV97 ) @ ( sK79_SY1116 @ SV214 @ SV311 @ SV97 ) ) @ ( cons_P1213805021e_name @ ( sK84_SY1126 @ SV311 @ SV214 @ SV97 ) @ ( sK88_SY1131 @ SV311 @ SV214 @ SV97 ) ) ) )
= $false )
| ( ( SV97 @ SV214 @ SV311 )
= $true )
| ( ( SV97 @ ( sK44_SY686 @ SV311 @ SV214 @ SV97 ) @ nil_Pr743626285e_name )
= $false )
| ( ( SV97 @ nil_Pr743626285e_name @ ( sK18_SY685 @ SV311 @ SV214 @ SV97 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2062]) ).
thf(2128,plain,
! [SV379: produc367475239e_name,SV380: list_P227219501e_name,SV109: list_P227219501e_name] :
( ( ( ~ ~ ! [SY1136: list_P227219501e_name] :
( SV109
!= ( cons_P1213805021e_name @ ( sK91_SY717 @ SV380 @ SV379 @ SV109 ) @ SY1136 ) ) )
= $false )
| ( ( SV109
= ( cons_P1213805021e_name @ SV379 @ SV380 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2065]) ).
thf(2129,plain,
! [SV364: name,SV231: name,SV327: name,SV119: name] :
( ( ( ( SV119 != SV327 )
| ( SV231 != SV364 ) )
= $false )
| ( ( SV119 = SV327 )
= $false )
| ( ( SV231 = SV364 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2068]) ).
thf(2130,plain,
! [SV123: list_P227219501e_name > $o,SV235: list_P227219501e_name] :
( ( ( ( sK53_SY759 @ SV235 @ SV123 )
= ( sK63_SY1094 @ SV123 @ SV235 ) )
= $false )
| ( ( SV123 @ ( cons_P1213805021e_name @ ( sK53_SY759 @ SV235 @ SV123 ) @ ( sK73_SY1107 @ SV123 @ SV235 ) ) )
= $true )
| ( ( SV123 @ SV235 )
= $true )
| ( ( SV123 @ ( cons_P1213805021e_name @ ( sK30_SY758 @ SV235 @ SV123 ) @ nil_Pr743626285e_name ) )
= $false )
| ( ( SV123 @ nil_Pr743626285e_name )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2069]) ).
thf(2131,plain,
! [SV123: list_P227219501e_name > $o,SV235: list_P227219501e_name] :
( ( ( ~ ( ( ( sK53_SY759 @ SV235 @ SV123 )
!= ( sK63_SY1094 @ SV123 @ SV235 ) ) ) )
= $true )
| ( ( SV123 @ ( cons_P1213805021e_name @ ( sK63_SY1094 @ SV123 @ SV235 ) @ ( sK73_SY1107 @ SV123 @ SV235 ) ) )
= $true )
| ( ( SV123 @ SV235 )
= $true )
| ( ( SV123 @ ( cons_P1213805021e_name @ ( sK30_SY758 @ SV235 @ SV123 ) @ nil_Pr743626285e_name ) )
= $false )
| ( ( SV123 @ nil_Pr743626285e_name )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2070]) ).
thf(2132,plain,
! [SV366: list_P227219501e_name,SV240: list_P227219501e_name,SV333: produc367475239e_name,SV128: produc367475239e_name] :
( ( ( ( SV128 != SV333 )
| ( SV240 != SV366 ) )
= $false )
| ( ( SV128 = SV333 )
= $false )
| ( ( SV240 = SV366 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2072]) ).
thf(2133,plain,
! [SV287: list_P227219501e_name,SV187: list_P227219501e_name,SV65: list_P227219501e_name > list_P227219501e_name > $o] :
( ( ( ! [SY1137: produc367475239e_name,SY1138: list_P227219501e_name] :
( ~ ( SV65 @ ( sK92_SY1133 @ SV187 @ SV287 @ SV65 ) @ SY1138 )
| ( SV65 @ ( cons_P1213805021e_name @ ( sK89_SY568 @ SV287 @ SV187 @ SV65 ) @ ( sK92_SY1133 @ SV187 @ SV287 @ SV65 ) ) @ ( cons_P1213805021e_name @ SY1137 @ SY1138 ) ) ) )
= $false )
| ( ( SV65 @ SV187 @ SV287 )
= $true )
| ( ( SV65 @ nil_Pr743626285e_name @ ( cons_P1213805021e_name @ ( sK64_SY566 @ SV287 @ SV187 @ SV65 ) @ ( sK74_SY1108 @ SV187 @ SV287 @ SV65 ) ) )
= $false )
| ( ( SV65 @ ( cons_P1213805021e_name @ ( sK31_SY564 @ SV287 @ SV187 @ SV65 ) @ ( sK40_SY1077 @ SV187 @ SV287 @ SV65 ) ) @ nil_Pr743626285e_name )
= $false )
| ( ( SV65 @ nil_Pr743626285e_name @ nil_Pr743626285e_name )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2121]) ).
thf(2134,plain,
! [SV347: name,SV197: name,SV297: name,SV76: name] :
( ( ( SV76 != SV297 )
= $false )
| ( ( SV76 = SV297 )
= $false )
| ( ( SV197 = SV347 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2123]) ).
thf(2135,plain,
! [SV297: name,SV76: name,SV347: name,SV197: name] :
( ( ( SV197 != SV347 )
= $false )
| ( ( SV76 = SV297 )
= $false )
| ( ( SV197 = SV347 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2123]) ).
thf(2136,plain,
! [SV207: produc367475239e_name > produc367475239e_name > $o,SV305: list_P227219501e_name,SV89: ( produc367475239e_name > produc367475239e_name > $o ) > list_P227219501e_name > $o] :
( ( ( ~ ( SV89 @ ( sK77_SY652 @ SV305 @ SV207 @ SV89 ) @ ( cons_P1213805021e_name @ ( sK86_SY1128 @ SV207 @ SV305 @ SV89 ) @ ( sK90_SY1132 @ SV207 @ SV305 @ SV89 ) ) ) )
= $false )
| ( ( SV89 @ SV207 @ SV305 )
= $true )
| ( ( SV89 @ ( sK42_SY650 @ SV305 @ SV207 @ SV89 ) @ ( cons_P1213805021e_name @ ( sK51_SY1085 @ SV207 @ SV305 @ SV89 ) @ nil_Pr743626285e_name ) )
= $false )
| ( ( SV89 @ ( sK17_SY649 @ SV305 @ SV207 @ SV89 ) @ nil_Pr743626285e_name )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2124]) ).
thf(2137,plain,
! [SV207: produc367475239e_name > produc367475239e_name > $o,SV305: list_P227219501e_name,SV89: ( produc367475239e_name > produc367475239e_name > $o ) > list_P227219501e_name > $o] :
( ( ( SV89 @ ( sK77_SY652 @ SV305 @ SV207 @ SV89 ) @ ( cons_P1213805021e_name @ ( sK82_SY1121 @ SV207 @ SV305 @ SV89 ) @ ( cons_P1213805021e_name @ ( sK86_SY1128 @ SV207 @ SV305 @ SV89 ) @ ( sK90_SY1132 @ SV207 @ SV305 @ SV89 ) ) ) )
= $false )
| ( ( SV89 @ SV207 @ SV305 )
= $true )
| ( ( SV89 @ ( sK42_SY650 @ SV305 @ SV207 @ SV89 ) @ ( cons_P1213805021e_name @ ( sK51_SY1085 @ SV207 @ SV305 @ SV89 ) @ nil_Pr743626285e_name ) )
= $false )
| ( ( SV89 @ ( sK17_SY649 @ SV305 @ SV207 @ SV89 ) @ nil_Pr743626285e_name )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2124]) ).
thf(2138,plain,
! [SV311: list_P227219501e_name,SV214: list_P227219501e_name,SV97: list_P227219501e_name > list_P227219501e_name > $o] :
( ( ( SV97 @ ( sK79_SY1116 @ SV214 @ SV311 @ SV97 ) @ ( cons_P1213805021e_name @ ( sK84_SY1126 @ SV311 @ SV214 @ SV97 ) @ ( sK88_SY1131 @ SV311 @ SV214 @ SV97 ) ) )
= $true )
| ( ( SV97 @ SV214 @ SV311 )
= $true )
| ( ( SV97 @ ( sK44_SY686 @ SV311 @ SV214 @ SV97 ) @ nil_Pr743626285e_name )
= $false )
| ( ( SV97 @ nil_Pr743626285e_name @ ( sK18_SY685 @ SV311 @ SV214 @ SV97 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2126]) ).
thf(2139,plain,
! [SV214: list_P227219501e_name,SV311: list_P227219501e_name,SV97: list_P227219501e_name > list_P227219501e_name > $o] :
( ( ( ~ ( SV97 @ ( cons_P1213805021e_name @ ( sK71_SY687 @ SV311 @ SV214 @ SV97 ) @ ( sK79_SY1116 @ SV214 @ SV311 @ SV97 ) ) @ ( sK88_SY1131 @ SV311 @ SV214 @ SV97 ) ) )
= $false )
| ( ( SV97 @ SV214 @ SV311 )
= $true )
| ( ( SV97 @ ( sK44_SY686 @ SV311 @ SV214 @ SV97 ) @ nil_Pr743626285e_name )
= $false )
| ( ( SV97 @ nil_Pr743626285e_name @ ( sK18_SY685 @ SV311 @ SV214 @ SV97 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2127]) ).
thf(2140,plain,
! [SV214: list_P227219501e_name,SV311: list_P227219501e_name,SV97: list_P227219501e_name > list_P227219501e_name > $o] :
( ( ( SV97 @ ( cons_P1213805021e_name @ ( sK71_SY687 @ SV311 @ SV214 @ SV97 ) @ ( sK79_SY1116 @ SV214 @ SV311 @ SV97 ) ) @ ( cons_P1213805021e_name @ ( sK84_SY1126 @ SV311 @ SV214 @ SV97 ) @ ( sK88_SY1131 @ SV311 @ SV214 @ SV97 ) ) )
= $false )
| ( ( SV97 @ SV214 @ SV311 )
= $true )
| ( ( SV97 @ ( sK44_SY686 @ SV311 @ SV214 @ SV97 ) @ nil_Pr743626285e_name )
= $false )
| ( ( SV97 @ nil_Pr743626285e_name @ ( sK18_SY685 @ SV311 @ SV214 @ SV97 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2127]) ).
thf(2141,plain,
! [SV379: produc367475239e_name,SV380: list_P227219501e_name,SV109: list_P227219501e_name] :
( ( ( ~ ! [SY1136: list_P227219501e_name] :
( SV109
!= ( cons_P1213805021e_name @ ( sK91_SY717 @ SV380 @ SV379 @ SV109 ) @ SY1136 ) ) )
= $true )
| ( ( SV109
= ( cons_P1213805021e_name @ SV379 @ SV380 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2128]) ).
thf(2142,plain,
! [SV364: name,SV231: name,SV327: name,SV119: name] :
( ( ( SV119 != SV327 )
= $false )
| ( ( SV119 = SV327 )
= $false )
| ( ( SV231 = SV364 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2129]) ).
thf(2143,plain,
! [SV327: name,SV119: name,SV364: name,SV231: name] :
( ( ( SV231 != SV364 )
= $false )
| ( ( SV119 = SV327 )
= $false )
| ( ( SV231 = SV364 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2129]) ).
thf(2144,plain,
! [SV123: list_P227219501e_name > $o,SV235: list_P227219501e_name] :
( ( ( ( sK53_SY759 @ SV235 @ SV123 )
!= ( sK63_SY1094 @ SV123 @ SV235 ) )
= $false )
| ( ( SV123 @ ( cons_P1213805021e_name @ ( sK63_SY1094 @ SV123 @ SV235 ) @ ( sK73_SY1107 @ SV123 @ SV235 ) ) )
= $true )
| ( ( SV123 @ SV235 )
= $true )
| ( ( SV123 @ ( cons_P1213805021e_name @ ( sK30_SY758 @ SV235 @ SV123 ) @ nil_Pr743626285e_name ) )
= $false )
| ( ( SV123 @ nil_Pr743626285e_name )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2131]) ).
thf(2145,plain,
! [SV366: list_P227219501e_name,SV240: list_P227219501e_name,SV333: produc367475239e_name,SV128: produc367475239e_name] :
( ( ( SV128 != SV333 )
= $false )
| ( ( SV128 = SV333 )
= $false )
| ( ( SV240 = SV366 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2132]) ).
thf(2146,plain,
! [SV333: produc367475239e_name,SV128: produc367475239e_name,SV366: list_P227219501e_name,SV240: list_P227219501e_name] :
( ( ( SV240 != SV366 )
= $false )
| ( ( SV128 = SV333 )
= $false )
| ( ( SV240 = SV366 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2132]) ).
thf(2147,plain,
! [SV287: list_P227219501e_name,SV187: list_P227219501e_name,SV65: list_P227219501e_name > list_P227219501e_name > $o] :
( ( ( ! [SY1139: list_P227219501e_name] :
( ~ ( SV65 @ ( sK92_SY1133 @ SV187 @ SV287 @ SV65 ) @ SY1139 )
| ( SV65 @ ( cons_P1213805021e_name @ ( sK89_SY568 @ SV287 @ SV187 @ SV65 ) @ ( sK92_SY1133 @ SV187 @ SV287 @ SV65 ) ) @ ( cons_P1213805021e_name @ ( sK93_SY1137 @ SV287 @ SV187 @ SV65 ) @ SY1139 ) ) ) )
= $false )
| ( ( SV65 @ SV187 @ SV287 )
= $true )
| ( ( SV65 @ nil_Pr743626285e_name @ ( cons_P1213805021e_name @ ( sK64_SY566 @ SV287 @ SV187 @ SV65 ) @ ( sK74_SY1108 @ SV187 @ SV287 @ SV65 ) ) )
= $false )
| ( ( SV65 @ ( cons_P1213805021e_name @ ( sK31_SY564 @ SV287 @ SV187 @ SV65 ) @ ( sK40_SY1077 @ SV187 @ SV287 @ SV65 ) ) @ nil_Pr743626285e_name )
= $false )
| ( ( SV65 @ nil_Pr743626285e_name @ nil_Pr743626285e_name )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2133]) ).
thf(2148,plain,
! [SV347: name,SV197: name,SV297: name,SV76: name] :
( ( ( SV76 = SV297 )
= $true )
| ( ( SV76 = SV297 )
= $false )
| ( ( SV197 = SV347 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2134]) ).
thf(2149,plain,
! [SV297: name,SV76: name,SV347: name,SV197: name] :
( ( ( SV197 = SV347 )
= $true )
| ( ( SV76 = SV297 )
= $false )
| ( ( SV197 = SV347 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2135]) ).
thf(2150,plain,
! [SV207: produc367475239e_name > produc367475239e_name > $o,SV305: list_P227219501e_name,SV89: ( produc367475239e_name > produc367475239e_name > $o ) > list_P227219501e_name > $o] :
( ( ( SV89 @ ( sK77_SY652 @ SV305 @ SV207 @ SV89 ) @ ( cons_P1213805021e_name @ ( sK86_SY1128 @ SV207 @ SV305 @ SV89 ) @ ( sK90_SY1132 @ SV207 @ SV305 @ SV89 ) ) )
= $true )
| ( ( SV89 @ SV207 @ SV305 )
= $true )
| ( ( SV89 @ ( sK42_SY650 @ SV305 @ SV207 @ SV89 ) @ ( cons_P1213805021e_name @ ( sK51_SY1085 @ SV207 @ SV305 @ SV89 ) @ nil_Pr743626285e_name ) )
= $false )
| ( ( SV89 @ ( sK17_SY649 @ SV305 @ SV207 @ SV89 ) @ nil_Pr743626285e_name )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2136]) ).
thf(2151,plain,
! [SV214: list_P227219501e_name,SV311: list_P227219501e_name,SV97: list_P227219501e_name > list_P227219501e_name > $o] :
( ( ( SV97 @ ( cons_P1213805021e_name @ ( sK71_SY687 @ SV311 @ SV214 @ SV97 ) @ ( sK79_SY1116 @ SV214 @ SV311 @ SV97 ) ) @ ( sK88_SY1131 @ SV311 @ SV214 @ SV97 ) )
= $true )
| ( ( SV97 @ SV214 @ SV311 )
= $true )
| ( ( SV97 @ ( sK44_SY686 @ SV311 @ SV214 @ SV97 ) @ nil_Pr743626285e_name )
= $false )
| ( ( SV97 @ nil_Pr743626285e_name @ ( sK18_SY685 @ SV311 @ SV214 @ SV97 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2139]) ).
thf(2152,plain,
! [SV379: produc367475239e_name,SV380: list_P227219501e_name,SV109: list_P227219501e_name] :
( ( ( ! [SY1136: list_P227219501e_name] :
( SV109
!= ( cons_P1213805021e_name @ ( sK91_SY717 @ SV380 @ SV379 @ SV109 ) @ SY1136 ) ) )
= $false )
| ( ( SV109
= ( cons_P1213805021e_name @ SV379 @ SV380 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2141]) ).
thf(2153,plain,
! [SV364: name,SV231: name,SV327: name,SV119: name] :
( ( ( SV119 = SV327 )
= $true )
| ( ( SV119 = SV327 )
= $false )
| ( ( SV231 = SV364 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2142]) ).
thf(2154,plain,
! [SV327: name,SV119: name,SV364: name,SV231: name] :
( ( ( SV231 = SV364 )
= $true )
| ( ( SV119 = SV327 )
= $false )
| ( ( SV231 = SV364 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2143]) ).
thf(2155,plain,
! [SV123: list_P227219501e_name > $o,SV235: list_P227219501e_name] :
( ( ( ( sK53_SY759 @ SV235 @ SV123 )
= ( sK63_SY1094 @ SV123 @ SV235 ) )
= $true )
| ( ( SV123 @ ( cons_P1213805021e_name @ ( sK63_SY1094 @ SV123 @ SV235 ) @ ( sK73_SY1107 @ SV123 @ SV235 ) ) )
= $true )
| ( ( SV123 @ SV235 )
= $true )
| ( ( SV123 @ ( cons_P1213805021e_name @ ( sK30_SY758 @ SV235 @ SV123 ) @ nil_Pr743626285e_name ) )
= $false )
| ( ( SV123 @ nil_Pr743626285e_name )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2144]) ).
thf(2156,plain,
! [SV366: list_P227219501e_name,SV240: list_P227219501e_name,SV333: produc367475239e_name,SV128: produc367475239e_name] :
( ( ( SV128 = SV333 )
= $true )
| ( ( SV128 = SV333 )
= $false )
| ( ( SV240 = SV366 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2145]) ).
thf(2157,plain,
! [SV333: produc367475239e_name,SV128: produc367475239e_name,SV366: list_P227219501e_name,SV240: list_P227219501e_name] :
( ( ( SV240 = SV366 )
= $true )
| ( ( SV128 = SV333 )
= $false )
| ( ( SV240 = SV366 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2146]) ).
thf(2158,plain,
! [SV287: list_P227219501e_name,SV187: list_P227219501e_name,SV65: list_P227219501e_name > list_P227219501e_name > $o] :
( ( ( ~ ( SV65 @ ( sK92_SY1133 @ SV187 @ SV287 @ SV65 ) @ ( sK94_SY1139 @ SV287 @ SV187 @ SV65 ) )
| ( SV65 @ ( cons_P1213805021e_name @ ( sK89_SY568 @ SV287 @ SV187 @ SV65 ) @ ( sK92_SY1133 @ SV187 @ SV287 @ SV65 ) ) @ ( cons_P1213805021e_name @ ( sK93_SY1137 @ SV287 @ SV187 @ SV65 ) @ ( sK94_SY1139 @ SV287 @ SV187 @ SV65 ) ) ) )
= $false )
| ( ( SV65 @ SV187 @ SV287 )
= $true )
| ( ( SV65 @ nil_Pr743626285e_name @ ( cons_P1213805021e_name @ ( sK64_SY566 @ SV287 @ SV187 @ SV65 ) @ ( sK74_SY1108 @ SV187 @ SV287 @ SV65 ) ) )
= $false )
| ( ( SV65 @ ( cons_P1213805021e_name @ ( sK31_SY564 @ SV287 @ SV187 @ SV65 ) @ ( sK40_SY1077 @ SV187 @ SV287 @ SV65 ) ) @ nil_Pr743626285e_name )
= $false )
| ( ( SV65 @ nil_Pr743626285e_name @ nil_Pr743626285e_name )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2147]) ).
thf(2159,plain,
! [SV379: produc367475239e_name,SV380: list_P227219501e_name,SV109: list_P227219501e_name] :
( ( ( SV109
!= ( cons_P1213805021e_name @ ( sK91_SY717 @ SV380 @ SV379 @ SV109 ) @ ( sK95_SY1136 @ SV379 @ SV380 @ SV109 ) ) )
= $false )
| ( ( SV109
= ( cons_P1213805021e_name @ SV379 @ SV380 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2152]) ).
thf(2160,plain,
! [SV287: list_P227219501e_name,SV187: list_P227219501e_name,SV65: list_P227219501e_name > list_P227219501e_name > $o] :
( ( ( ~ ( SV65 @ ( sK92_SY1133 @ SV187 @ SV287 @ SV65 ) @ ( sK94_SY1139 @ SV287 @ SV187 @ SV65 ) ) )
= $false )
| ( ( SV65 @ SV187 @ SV287 )
= $true )
| ( ( SV65 @ nil_Pr743626285e_name @ ( cons_P1213805021e_name @ ( sK64_SY566 @ SV287 @ SV187 @ SV65 ) @ ( sK74_SY1108 @ SV187 @ SV287 @ SV65 ) ) )
= $false )
| ( ( SV65 @ ( cons_P1213805021e_name @ ( sK31_SY564 @ SV287 @ SV187 @ SV65 ) @ ( sK40_SY1077 @ SV187 @ SV287 @ SV65 ) ) @ nil_Pr743626285e_name )
= $false )
| ( ( SV65 @ nil_Pr743626285e_name @ nil_Pr743626285e_name )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2158]) ).
thf(2161,plain,
! [SV187: list_P227219501e_name,SV287: list_P227219501e_name,SV65: list_P227219501e_name > list_P227219501e_name > $o] :
( ( ( SV65 @ ( cons_P1213805021e_name @ ( sK89_SY568 @ SV287 @ SV187 @ SV65 ) @ ( sK92_SY1133 @ SV187 @ SV287 @ SV65 ) ) @ ( cons_P1213805021e_name @ ( sK93_SY1137 @ SV287 @ SV187 @ SV65 ) @ ( sK94_SY1139 @ SV287 @ SV187 @ SV65 ) ) )
= $false )
| ( ( SV65 @ SV187 @ SV287 )
= $true )
| ( ( SV65 @ nil_Pr743626285e_name @ ( cons_P1213805021e_name @ ( sK64_SY566 @ SV287 @ SV187 @ SV65 ) @ ( sK74_SY1108 @ SV187 @ SV287 @ SV65 ) ) )
= $false )
| ( ( SV65 @ ( cons_P1213805021e_name @ ( sK31_SY564 @ SV287 @ SV187 @ SV65 ) @ ( sK40_SY1077 @ SV187 @ SV287 @ SV65 ) ) @ nil_Pr743626285e_name )
= $false )
| ( ( SV65 @ nil_Pr743626285e_name @ nil_Pr743626285e_name )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2158]) ).
thf(2162,plain,
! [SV379: produc367475239e_name,SV380: list_P227219501e_name,SV109: list_P227219501e_name] :
( ( ( SV109
= ( cons_P1213805021e_name @ ( sK91_SY717 @ SV380 @ SV379 @ SV109 ) @ ( sK95_SY1136 @ SV379 @ SV380 @ SV109 ) ) )
= $true )
| ( ( SV109
= ( cons_P1213805021e_name @ SV379 @ SV380 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2159]) ).
thf(2163,plain,
! [SV287: list_P227219501e_name,SV187: list_P227219501e_name,SV65: list_P227219501e_name > list_P227219501e_name > $o] :
( ( ( SV65 @ ( sK92_SY1133 @ SV187 @ SV287 @ SV65 ) @ ( sK94_SY1139 @ SV287 @ SV187 @ SV65 ) )
= $true )
| ( ( SV65 @ SV187 @ SV287 )
= $true )
| ( ( SV65 @ nil_Pr743626285e_name @ ( cons_P1213805021e_name @ ( sK64_SY566 @ SV287 @ SV187 @ SV65 ) @ ( sK74_SY1108 @ SV187 @ SV287 @ SV65 ) ) )
= $false )
| ( ( SV65 @ ( cons_P1213805021e_name @ ( sK31_SY564 @ SV287 @ SV187 @ SV65 ) @ ( sK40_SY1077 @ SV187 @ SV287 @ SV65 ) ) @ nil_Pr743626285e_name )
= $false )
| ( ( SV65 @ nil_Pr743626285e_name @ nil_Pr743626285e_name )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2160]) ).
thf(2164,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[512,2163,2162,2161,2157,2156,2155,2154,2153,2151,2150,2149,2148,2140,2138,2137,2130,2125,2122,2120,2119,2118,2117,2116,2115,2114,2113,2112,2111,2110,2109,2108,2107,2106,2105,2104,2103,2102,2101,2100,2099,2098,2097,2096,2095,2094,2093,2092,2091,2090,2089,2088,2087,2086,2085,2084,2083,2082,2081,2080,2079,2078,2077,2076,2075,2074,2073,2071,2067,2066,2064,2063,2060,2059,2057,2055,2054,2001,2000,1999,1994,1993,1992,1990,1984,1977,1976,1927,1925,1924,1922,1880,1876,1862,1859,1855,1851,1848,1847,1844,1843,1839,1834,1814,1810,1806,1805,1804,1803,1802,1801,1794,1792,1785,1784,1783,1775,1774,1773,1772,1771,1769,1767,1765,1763,1762,1761,1760,1759,1757,1755,1753,1751,1750,1749,1748,1747,1745,1743,1741,1739,1738,1737,1736,1735,1734,1733,1732,1731,1730,1729,1728,1727,1726,1725,1724,1723,1722,1721,1720,1706,1704,1702,1701,1689,1685,1684,1680,1678,1676,1644,1643,1642,1641,1640,1639,1638,1637,1616,1615,1614,1613,1612,1611,1610,1609,1607,1587,1581,1575,1572,1570,1508,1506,1503,1502,1499,1495,1494,1493,1492,1489,1479,1473,1465,1462,1446,1430,1411,1408,1401,1393,1392,1387,1376,1310,1308,1301,1296,1288,1257,1255,1251,1244,1177,1153,1150,1147,1144,1142,1139,1137,1135,1133,1131,1118,1092,1073,1043,1042,1041,1040,1039,1038,1037,1035,1031,1030,1028,1027,1026,1023,1021,1019,1018,1017,1016,1015,1014,1013,1012,1011,1010,1009,1008,1007,1006,1005,1004,1003,1002,1001,1000,974,901,900,897,879,878,877,876,875,841,802,794,780,768,764,763,762,761,753,752,751,750,749,621,618,570,549,516,514]) ).
thf(2165,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[2164]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : ITP182^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.02 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.00/0.11 % Computer : n012.cluster.edu
% 0.00/0.11 % Model : x86_64 x86_64
% 0.00/0.11 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.00/0.11 % Memory : 8046.5625MB
% 0.00/0.11 % OS : Linux 6.8.0-71-generic
% 0.00/0.11 % CPULimit : 300
% 0.00/0.11 % WCLimit : 300
% 0.00/0.11 % DateTime : Tue Oct 6 11:18:46 UTC 2026
% 0.00/0.11 % CPUTime :
% 0.00/0.11 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 14.95/2.75 ..
% 14.95/2.75
% 14.95/2.75 No.of.Axioms: 143
% 14.95/2.75
% 14.95/2.75 Length.of.Defs: 0
% 14.95/2.75
% 14.95/2.75 Contains.Choice.Funs: false
% 14.95/2.75 ...............................................................
% 14.95/2.75
% 14.95/2.75 ********************************
% 14.95/2.75 * All subproblems solved! *
% 14.95/2.75 ********************************
% 14.95/2.75 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:143,ps:0,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:2164,loop_count:0,foatp_calls:1,translation:fof_full)
% 14.95/2.75
% 14.95/2.75 %**** Beginning of derivation protocol ****
% 14.95/2.75 % SZS output start CNFRefutation
% See solution above
% 14.95/2.77
% 14.95/2.77 %**** End of derivation protocol ****
% 14.95/2.77 %**** no. of clauses in derivation: 1944 ****
% 14.95/2.77 %**** clause counter: 2164 ****
% 14.95/2.77
% 14.95/2.77 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:143,ps:0,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:2164,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------