%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : ITP190^1 : 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 : n013.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 10:24:42 AM UTC 2026
% Result : Theorem 63.91s 10.98s
% Output : CNFRefutation 63.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 104
% Syntax : Number of formulae : 1467 ( 643 unt; 0 typ; 0 def)
% Number of atoms : 9473 (5119 equ; 0 cnn)
% Maximal formula atoms : 7 ( 6 avg)
% Number of connectives : 14585 (2674 ~;2537 |; 33 &;9134 @)
% ( 0 <=>; 207 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 4 avg)
% Number of types : 41 ( 40 usr)
% Number of type conns : 480 ( 480 >; 0 *; 0 +; 0 <<)
% Number of symbols : 219 ( 216 usr; 18 con; 0-5 aty)
% Number of variables : 4192 ( 0 ^;4180 !; 12 ?;4192 :)
% 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_l1406151091e_name,type,
list_l1406151091e_name: $tType ).
thf(tp_list_name,type,
list_name: $tType ).
thf(tp_list_name_noption_pi,type,
list_name_noption_pi: $tType ).
thf(tp_list_pi,type,
list_pi: $tType ).
thf(tp_list_pi_Rep,type,
list_pi_Rep: $tType ).
thf(tp_name,type,
name: $tType ).
thf(tp_noption_pi,type,
noption_pi: $tType ).
thf(tp_pi,type,
pi: $tType ).
thf(tp_pi_Rep,type,
pi_Rep: $tType ).
thf(tp_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_Pr1834926343_pi_pi,type,
set_Pr1834926343_pi_pi: $tType ).
thf(tp_set_name,type,
set_name: $tType ).
thf(tp_set_pi,type,
set_pi: $tType ).
thf(tp_set_pi_Rep,type,
set_pi_Rep: $tType ).
thf(tp_aa,type,
aa: name ).
thf(tp_abs_fun_name_pi,type,
abs_fun_name_pi: name > pi > name > noption_pi ).
thf(tp_alpha,type,
alpha: late_freeRes ).
thf(tp_b,type,
b: 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_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_name_noption_pi,type,
cons_name_noption_pi: ( name > noption_pi ) > list_name_noption_pi > list_name_noption_pi ).
thf(tp_cons_pi,type,
cons_pi: pi > list_pi > list_pi ).
thf(tp_cons_pi_Rep,type,
cons_pi_Rep: pi_Rep > list_pi_Rep > list_pi_Rep ).
thf(tp_eqvt_pi,type,
eqvt_pi: set_Pr1834926343_pi_pi > $o ).
thf(tp_fresh_1135477378ion_pi,type,
fresh_1135477378ion_pi: name > list_name_noption_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_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_543891186ion_pi,type,
fresh_543891186ion_pi: name > ( name > noption_pi ) > $o ).
thf(tp_fresh_717452603ubject,type,
fresh_717452603ubject: name > late_subject > $o ).
thf(tp_fresh_81631222sidual,type,
fresh_81631222sidual: name > late_residual > $o ).
thf(tp_fresh_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_if_Late_freeRes,type,
if_Late_freeRes: $o > late_freeRes > late_freeRes > late_freeRes ).
thf(tp_if_Late_subject,type,
if_Late_subject: $o > late_subject > late_subject > late_subject ).
thf(tp_if_name,type,
if_name: $o > name > name > name ).
thf(tp_if_pi,type,
if_pi: $o > pi > pi > pi ).
thf(tp_if_pi_Rep,type,
if_pi_Rep: $o > pi_Rep > pi_Rep > pi_Rep ).
thf(tp_input,type,
input: name > name > pi > pi ).
thf(tp_late_BoundOutputS,type,
late_BoundOutputS: name > late_subject ).
thf(tp_late_BoundR,type,
late_BoundR: late_subject > name > pi > late_residual ).
thf(tp_late_FreeR,type,
late_FreeR: late_freeRes > pi > late_residual ).
thf(tp_late_InputS,type,
late_InputS: name > late_subject ).
thf(tp_late_OutputR,type,
late_OutputR: name > name > late_freeRes ).
thf(tp_late_TauR,type,
late_TauR: late_freeRes ).
thf(tp_late_r347633188eR_Rep,type,
late_r347633188eR_Rep: late_freeRes > pi > late_residual_Rep ).
thf(tp_late_transitions,type,
late_transitions: pi > late_residual > $o ).
thf(tp_member558706512_pi_pi,type,
member558706512_pi_pi: product_prod_pi_pi > set_Pr1834926343_pi_pi > $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_name_prm_name,type,
name_prm_name: list_P227219501e_name > name > name ).
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_p,type,
p: pi ).
thf(tp_p2,type,
p2: pi ).
thf(tp_par,type,
par: pi > pi > pi ).
thf(tp_perm_n1160739829e_name,type,
perm_n1160739829e_name: list_P227219501e_name > list_P227219501e_name > list_P227219501e_name ).
thf(tp_perm_n1174226579ubject,type,
perm_n1174226579ubject: list_P227219501e_name > produc214645451ubject > produc214645451ubject ).
thf(tp_perm_n1211707594Res_pi,type,
perm_n1211707594Res_pi: list_P227219501e_name > produc992857746Res_pi > produc992857746Res_pi ).
thf(tp_perm_n1314686611reeRes,type,
perm_n1314686611reeRes: list_P227219501e_name > produc355105483reeRes > produc355105483reeRes ).
thf(tp_perm_n1333244520reeRes,type,
perm_n1333244520reeRes: list_P227219501e_name > ( pi > late_freeRes ) > pi > late_freeRes ).
thf(tp_perm_n1387060402ubject,type,
perm_n1387060402ubject: list_P227219501e_name > ( name > late_subject ) > name > late_subject ).
thf(tp_perm_n1415585007_pi_pi,type,
perm_n1415585007_pi_pi: list_P227219501e_name > product_prod_pi_pi > product_prod_pi_pi ).
thf(tp_perm_n1446290985reeRes,type,
perm_n1446290985reeRes: list_P227219501e_name > ( late_freeRes > late_freeRes ) > late_freeRes > late_freeRes ).
thf(tp_perm_n1447856217ubject,type,
perm_n1447856217ubject: list_P227219501e_name > ( late_subject > late_subject ) > late_subject > late_subject ).
thf(tp_perm_n1467004033pi_Rep,type,
perm_n1467004033pi_Rep: list_P227219501e_name > produc257012921pi_Rep > produc257012921pi_Rep ).
thf(tp_perm_n1555914327reeRes,type,
perm_n1555914327reeRes: list_P227219501e_name > set_Late_freeRes > set_Late_freeRes ).
thf(tp_perm_n1559866809ubject,type,
perm_n1559866809ubject: list_P227219501e_name > late_subject > late_subject ).
thf(tp_perm_n1667196784ion_pi,type,
perm_n1667196784ion_pi: list_P227219501e_name > ( name > noption_pi ) > name > noption_pi ).
thf(tp_perm_n169932155reeRes,type,
perm_n169932155reeRes: list_P227219501e_name > produc1357834675reeRes > produc1357834675reeRes ).
thf(tp_perm_n171497387ubject,type,
perm_n171497387ubject: list_P227219501e_name > produc1359399907ubject > produc1359399907ubject ).
thf(tp_perm_n1812647369ubject,type,
perm_n1812647369ubject: list_P227219501e_name > list_Late_subject > list_Late_subject ).
thf(tp_perm_n1841560599reeRes,type,
perm_n1841560599reeRes: list_P227219501e_name > ( pi_Rep > late_freeRes ) > pi_Rep > late_freeRes ).
thf(tp_perm_n190055296ubject,type,
perm_n190055296ubject: list_P227219501e_name > ( pi > late_subject ) > pi > late_subject ).
thf(tp_perm_n1938283068es_Rep,type,
perm_n1938283068es_Rep: list_P227219501e_name > late_freeRes_Rep > late_freeRes_Rep ).
thf(tp_perm_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_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_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_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_pxQ,type,
pxQ: pi ).
thf(tp_q,type,
q: pi ).
thf(tp_q2,type,
q2: pi ).
thf(tp_q_a,type,
q_a: pi ).
thf(tp_rel,type,
rel: set_Pr1834926343_pi_pi ).
thf(tp_res,type,
res: name > pi > pi ).
thf(tp_sK10_SY392,type,
sK10_SY392: late_freeRes > ( late_freeRes > $o ) > name ).
thf(tp_sK11_SY395,type,
sK11_SY395: produc367475239e_name > ( produc367475239e_name > $o ) > name ).
thf(tp_sK12_SY405,type,
sK12_SY405: late_residual > ( late_residual > $o ) > late_subject ).
thf(tp_sK13_SY411,type,
sK13_SY411: produc367475239e_name > ( produc367475239e_name > $o ) > name ).
thf(tp_sK14_SY677,type,
sK14_SY677: late_freeRes > name ).
thf(tp_sK15_SY678,type,
sK15_SY678: late_freeRes > ( late_freeRes > $o ) > name ).
thf(tp_sK16_SY679,type,
sK16_SY679: produc367475239e_name > ( produc367475239e_name > $o ) > name ).
thf(tp_sK17_SY680,type,
sK17_SY680: late_residual > ( late_residual > $o ) > name ).
thf(tp_sK18_SY682,type,
sK18_SY682: produc367475239e_name > ( produc367475239e_name > $o ) > name ).
thf(tp_sK19_SY468,type,
sK19_SY468: list_P227219501e_name > list_P227219501e_name > ( list_P227219501e_name > list_P227219501e_name > $o ) > list_P227219501e_name ).
thf(tp_sK1_SY379,type,
sK1_SY379: produc367475239e_name > name ).
thf(tp_sK20_SY481,type,
sK20_SY481: list_P227219501e_name > list_P227219501e_name > ( list_P227219501e_name > list_P227219501e_name > $o ) > list_P227219501e_name ).
thf(tp_sK21_SY664,type,
sK21_SY664: produc367475239e_name > name ).
thf(tp_sK22_SY493,type,
sK22_SY493: list_P227219501e_name > produc367475239e_name ).
thf(tp_sK23_SY509,type,
sK23_SY509: list_P227219501e_name > ( produc367475239e_name > produc367475239e_name > $o ) > ( ( produc367475239e_name > produc367475239e_name > $o ) > list_P227219501e_name > $o ) > produc367475239e_name > produc367475239e_name > $o ).
thf(tp_sK24_SY388,type,
sK24_SY388: produc890461031e_name > produc367475239e_name ).
thf(tp_sK25_SY683,type,
sK25_SY683: late_residual > ( late_residual > $o ) > pi ).
thf(tp_sK26_SY429,type,
sK26_SY429: produc1872410278e_name > produc367475239e_name > produc367475239e_name > $o ).
thf(tp_sK27_SY433,type,
sK27_SY433: list_P227219501e_name > ( list_P227219501e_name > $o ) > produc367475239e_name ).
thf(tp_sK28_SY460,type,
sK28_SY460: list_P227219501e_name > produc367475239e_name ).
thf(tp_sK29_SY684,type,
sK29_SY684: list_P227219501e_name > list_P227219501e_name ).
thf(tp_sK2_SY489,type,
sK2_SY489: produc367475239e_name > name ).
thf(tp_sK30_SY517,type,
sK30_SY517: list_P227219501e_name > ( list_P227219501e_name > $o ) > produc367475239e_name ).
thf(tp_sK31_SY382,type,
sK31_SY382: produc890461031e_name > list_P227219501e_name ).
thf(tp_sK32_SY685,type,
sK32_SY685: produc890461031e_name > list_P227219501e_name ).
thf(tp_sK33_SY422,type,
sK33_SY422: produc1872410278e_name > produc367475239e_name > produc367475239e_name > $o ).
thf(tp_sK34_SY687,type,
sK34_SY687: produc1872410278e_name > produc367475239e_name ).
thf(tp_sK35_SY689,type,
sK35_SY689: list_P227219501e_name > ( list_P227219501e_name > $o ) > list_P227219501e_name ).
thf(tp_sK36_SY440,type,
sK36_SY440: list_P227219501e_name > list_P227219501e_name > ( list_P227219501e_name > list_P227219501e_name > $o ) > produc367475239e_name ).
thf(tp_sK37_SY691,type,
sK37_SY691: produc890461031e_name > list_P227219501e_name ).
thf(tp_sK38_SY692,type,
sK38_SY692: produc1872410278e_name > produc367475239e_name ).
thf(tp_sK39_SY693,type,
sK39_SY693: produc1872410278e_name > list_P227219501e_name ).
thf(tp_sK3_SY375,type,
sK3_SY375: ( list_P227219501e_name > $o ) > list_P227219501e_name ).
thf(tp_sK40_SY694,type,
sK40_SY694: list_P227219501e_name > list_P227219501e_name > ( list_P227219501e_name > list_P227219501e_name > $o ) > list_P227219501e_name ).
thf(tp_sK41_SY469,type,
sK41_SY469: list_P227219501e_name > list_P227219501e_name > ( list_P227219501e_name > list_P227219501e_name > $o ) > list_P227219501e_name ).
thf(tp_sK42_SY482,type,
sK42_SY482: list_P227219501e_name > list_P227219501e_name > ( list_P227219501e_name > list_P227219501e_name > $o ) > produc367475239e_name ).
thf(tp_sK43_SY510,type,
sK43_SY510: list_P227219501e_name > ( produc367475239e_name > produc367475239e_name > $o ) > ( ( produc367475239e_name > produc367475239e_name > $o ) > list_P227219501e_name > $o ) > produc367475239e_name > produc367475239e_name > $o ).
thf(tp_sK44_SY408,type,
sK44_SY408: late_residual > ( late_residual > $o ) > late_freeRes ).
thf(tp_sK45_SY461,type,
sK45_SY461: list_P227219501e_name > produc367475239e_name ).
thf(tp_sK46_SY695,type,
sK46_SY695: list_P227219501e_name > list_P227219501e_name > ( list_P227219501e_name > list_P227219501e_name > $o ) > list_P227219501e_name ).
thf(tp_sK47_SY697,type,
sK47_SY697: ( produc367475239e_name > produc367475239e_name > $o ) > list_P227219501e_name > ( ( produc367475239e_name > produc367475239e_name > $o ) > list_P227219501e_name > $o ) > produc367475239e_name ).
thf(tp_sK48_SY518,type,
sK48_SY518: list_P227219501e_name > ( list_P227219501e_name > $o ) > produc367475239e_name ).
thf(tp_sK49_SY383,type,
sK49_SY383: produc890461031e_name > produc367475239e_name ).
thf(tp_sK4_SY637,type,
sK4_SY637: produc367475239e_name > name ).
thf(tp_sK50_SY699,type,
sK50_SY699: late_residual > ( late_residual > $o ) > pi ).
thf(tp_sK51_SY700,type,
sK51_SY700: list_P227219501e_name > produc367475239e_name ).
thf(tp_sK52_SY702,type,
sK52_SY702: list_P227219501e_name > list_P227219501e_name > ( list_P227219501e_name > list_P227219501e_name > $o ) > list_P227219501e_name ).
thf(tp_sK53_SY491,type,
sK53_SY491: list_P227219501e_name > produc367475239e_name ).
thf(tp_sK54_SY703,type,
sK54_SY703: ( produc367475239e_name > produc367475239e_name > $o ) > list_P227219501e_name > ( ( produc367475239e_name > produc367475239e_name > $o ) > list_P227219501e_name > $o ) > list_P227219501e_name ).
thf(tp_sK55_SY704,type,
sK55_SY704: list_P227219501e_name > ( list_P227219501e_name > $o ) > produc367475239e_name ).
thf(tp_sK56_SY706,type,
sK56_SY706: produc890461031e_name > list_P227219501e_name ).
thf(tp_sK57_SY424,type,
sK57_SY424: produc1872410278e_name > produc367475239e_name > produc367475239e_name > $o ).
thf(tp_sK58_SY442,type,
sK58_SY442: list_P227219501e_name > list_P227219501e_name > ( list_P227219501e_name > list_P227219501e_name > $o ) > produc367475239e_name ).
thf(tp_sK59_SY709,type,
sK59_SY709: list_P227219501e_name > list_P227219501e_name ).
thf(tp_sK5_SY381,type,
sK5_SY381: produc890461031e_name > list_P227219501e_name ).
thf(tp_sK60_SY470,type,
sK60_SY470: list_P227219501e_name > list_P227219501e_name > ( list_P227219501e_name > list_P227219501e_name > $o ) > produc367475239e_name ).
thf(tp_sK61_SY711,type,
sK61_SY711: list_P227219501e_name > ( list_P227219501e_name > $o ) > list_P227219501e_name ).
thf(tp_sK62_SY712,type,
sK62_SY712: produc890461031e_name > produc367475239e_name ).
thf(tp_sK63_SY714,type,
sK63_SY714: produc1872410278e_name > produc367475239e_name ).
thf(tp_sK64_SY717,type,
sK64_SY717: list_P227219501e_name > list_P227219501e_name > ( list_P227219501e_name > list_P227219501e_name > $o ) > list_P227219501e_name ).
thf(tp_sK65_SY718,type,
sK65_SY718: list_P227219501e_name > list_P227219501e_name > ( list_P227219501e_name > list_P227219501e_name > $o ) > list_P227219501e_name ).
thf(tp_sK66_SY721,type,
sK66_SY721: produc890461031e_name > list_P227219501e_name ).
thf(tp_sK67_SY722,type,
sK67_SY722: produc1872410278e_name > produc367475239e_name ).
thf(tp_sK68_SY724,type,
sK68_SY724: list_P227219501e_name > list_P227219501e_name > ( list_P227219501e_name > list_P227219501e_name > $o ) > produc367475239e_name ).
thf(tp_sK69_SY710,type,
sK69_SY710: list_P227219501e_name > list_P227219501e_name ).
thf(tp_sK6_SY387,type,
sK6_SY387: produc890461031e_name > list_P227219501e_name ).
thf(tp_sK70_SY726,type,
sK70_SY726: produc1872410278e_name > list_P227219501e_name ).
thf(tp_sK71_SY727,type,
sK71_SY727: list_P227219501e_name > list_P227219501e_name > ( list_P227219501e_name > list_P227219501e_name > $o ) > list_P227219501e_name ).
thf(tp_sK72_SY444,type,
sK72_SY444: list_P227219501e_name > list_P227219501e_name > ( list_P227219501e_name > list_P227219501e_name > $o ) > produc367475239e_name ).
thf(tp_sK73_SY491,type,
sK73_SY491: list_P227219501e_name > produc367475239e_name > list_P227219501e_name > produc367475239e_name ).
thf(tp_sK74_SY728,type,
sK74_SY728: list_P227219501e_name > list_P227219501e_name > ( list_P227219501e_name > list_P227219501e_name > $o ) > list_P227219501e_name ).
thf(tp_sK75_SY732,type,
sK75_SY732: list_P227219501e_name > list_P227219501e_name > ( list_P227219501e_name > list_P227219501e_name > $o ) > produc367475239e_name ).
thf(tp_sK76_SY734,type,
sK76_SY734: list_P227219501e_name > list_P227219501e_name > ( list_P227219501e_name > list_P227219501e_name > $o ) > list_P227219501e_name ).
thf(tp_sK77_SY731,type,
sK77_SY731: produc367475239e_name > list_P227219501e_name > list_P227219501e_name > list_P227219501e_name ).
thf(tp_sK7_SY421,type,
sK7_SY421: produc1872410278e_name > produc367475239e_name > produc367475239e_name > $o ).
thf(tp_sK8_SY428,type,
sK8_SY428: produc1872410278e_name > produc367475239e_name > produc367475239e_name > $o ).
thf(tp_sK9_SY435,type,
sK9_SY435: late_freeRes > 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_subs,type,
subs: pi > name > name > pi ).
thf(tp_swap_name,type,
swap_name: produc367475239e_name > name > name ).
thf(tp_swap_name2,type,
swap_name2: produc367475239e_name > name > name ).
thf(tp_x,type,
x: name ).
thf(tp_y,type,
y: name ).
thf(tp_z,type,
z: name ).
thf(3,axiom,
! [P: $o] :
( ( P = $true )
| ( P = $false ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_If_3_1_If_001t__Late____Semantics__Osubject_T) ).
thf(19,axiom,
! [A: name] :
( ( name_prm_name @ nil_Pr743626285e_name @ A )
= A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_341_name__prm__name_Osimps_I1_J) ).
thf(25,axiom,
! [A: name,C2: name,B: name] :
( ( ( A = C2 )
=> ( ( swap_name @ ( produc1570949143e_name @ A @ B ) @ C2 )
= B ) )
& ( ( A != C2 )
=> ( ( ( B = C2 )
=> ( ( swap_name @ ( produc1570949143e_name @ A @ B ) @ C2 )
= A ) )
& ( ( B != C2 )
=> ( ( swap_name @ ( produc1570949143e_name @ A @ B ) @ C2 )
= C2 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_335_swap__name_Osimps) ).
thf(59,axiom,
! [A: name,X: name,P: pi,Alpha: late_freeRes,P2: pi] :
~ ( late_transitions @ ( input @ A @ X @ P ) @ ( late_FreeR @ Alpha @ P2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_301_inputFreeTrans) ).
thf(62,axiom,
! [A: name,C2: name,B: name] :
( ( ( A = C2 )
=> ( ( swap_name2 @ ( produc1570949143e_name @ A @ B ) @ C2 )
= B ) )
& ( ( A != C2 )
=> ( ( ( B = C2 )
=> ( ( swap_name2 @ ( produc1570949143e_name @ A @ B ) @ C2 )
= A ) )
& ( ( B != C2 )
=> ( ( swap_name2 @ ( produc1570949143e_name @ A @ B ) @ C2 )
= C2 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_298_name__calc_I3_J) ).
thf(63,axiom,
! [P: pi,Alpha: late_freeRes,P2: pi,Q: pi] :
( ( late_transitions @ P @ ( late_FreeR @ Alpha @ P2 ) )
=> ( late_transitions @ ( par @ P @ Q ) @ ( late_FreeR @ Alpha @ ( par @ P2 @ Q ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_297_Par1F) ).
thf(64,axiom,
! [Q: pi,Alpha: late_freeRes,Q2: pi,P: pi] :
( ( late_transitions @ Q @ ( late_FreeR @ Alpha @ Q2 ) )
=> ( late_transitions @ ( par @ P @ Q ) @ ( late_FreeR @ Alpha @ ( par @ P @ Q2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_296_Par2F) ).
thf(80,axiom,
! [Pi: list_P227219501e_name,X2: pi,X1: pi] :
( ( perm_name_pi @ Pi @ ( par @ X2 @ X1 ) )
= ( par @ ( perm_name_pi @ Pi @ X2 ) @ ( perm_name_pi @ Pi @ X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_280_pi_Operm_I8_J) ).
thf(87,axiom,
! [P: ( produc367475239e_name > produc367475239e_name > $o ) > list_P227219501e_name > $o,A0: produc367475239e_name > produc367475239e_name > $o,A1: list_P227219501e_name] :
( ! [P4: produc367475239e_name > produc367475239e_name > $o] : ( P @ P4 @ nil_Pr743626285e_name )
=> ( ! [P4: produc367475239e_name > produc367475239e_name > $o,X5: produc367475239e_name,Ys: list_P227219501e_name] :
( ( P @ P4 @ Ys )
=> ( P @ P4 @ ( cons_P1213805021e_name @ X5 @ Ys ) ) )
=> ( P @ A0 @ A1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_273_sorted__wrt_Oinduct) ).
thf(88,axiom,
! [X: list_P227219501e_name] :
( ( X != nil_Pr743626285e_name )
=> ( ! [X5: produc367475239e_name] :
( X
!= ( cons_P1213805021e_name @ X5 @ nil_Pr743626285e_name ) )
=> ~ ! [X5: produc367475239e_name,Y3: produc367475239e_name,Xs2: list_P227219501e_name] :
( X
!= ( cons_P1213805021e_name @ X5 @ ( cons_P1213805021e_name @ Y3 @ Xs2 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_272_remdups__adj_Ocases) ).
thf(90,axiom,
! [P: list_P227219501e_name > list_P227219501e_name > $o,A0: list_P227219501e_name,A1: list_P227219501e_name] :
( ! [X_1: list_P227219501e_name] : ( P @ nil_Pr743626285e_name @ X_1 )
=> ( ! [Xs2: list_P227219501e_name] : ( P @ Xs2 @ nil_Pr743626285e_name )
=> ( ! [X5: produc367475239e_name,Xs2: list_P227219501e_name,Y3: produc367475239e_name,Ys: list_P227219501e_name] :
( ( P @ Xs2 @ ( cons_P1213805021e_name @ Y3 @ Ys ) )
=> ( ( P @ ( cons_P1213805021e_name @ X5 @ Xs2 ) @ Ys )
=> ( P @ ( cons_P1213805021e_name @ X5 @ Xs2 ) @ ( cons_P1213805021e_name @ Y3 @ Ys ) ) ) )
=> ( P @ A0 @ A1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_270_shuffles_Oinduct) ).
thf(91,axiom,
! [P: list_P227219501e_name > $o,Xs: list_P227219501e_name] :
( ( P @ nil_Pr743626285e_name )
=> ( ! [X5: produc367475239e_name] : ( P @ ( cons_P1213805021e_name @ X5 @ nil_Pr743626285e_name ) )
=> ( ! [X5: produc367475239e_name,Y3: produc367475239e_name,Zs: list_P227219501e_name] :
( ( P @ Zs )
=> ( ( P @ ( cons_P1213805021e_name @ Y3 @ Zs ) )
=> ( P @ ( cons_P1213805021e_name @ X5 @ ( cons_P1213805021e_name @ Y3 @ Zs ) ) ) ) )
=> ( P @ Xs ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_269_induct__list012) ).
thf(92,axiom,
! [P: list_P227219501e_name > list_P227219501e_name > $o,A0: list_P227219501e_name,A1: list_P227219501e_name] :
( ! [X_1: list_P227219501e_name] : ( P @ nil_Pr743626285e_name @ X_1 )
=> ( ! [X5: produc367475239e_name,Xs2: list_P227219501e_name,Ys: list_P227219501e_name] :
( ( P @ Ys @ Xs2 )
=> ( P @ ( cons_P1213805021e_name @ X5 @ Xs2 ) @ Ys ) )
=> ( P @ A0 @ A1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_268_splice_Oinduct) ).
thf(93,axiom,
! [P: list_P227219501e_name > list_P227219501e_name > $o,Xs: list_P227219501e_name,Ys3: list_P227219501e_name] :
( ( P @ nil_Pr743626285e_name @ nil_Pr743626285e_name )
=> ( ! [X5: produc367475239e_name,Xs2: list_P227219501e_name] : ( P @ ( cons_P1213805021e_name @ X5 @ Xs2 ) @ nil_Pr743626285e_name )
=> ( ! [Y3: produc367475239e_name,Ys: list_P227219501e_name] : ( P @ nil_Pr743626285e_name @ ( cons_P1213805021e_name @ Y3 @ Ys ) )
=> ( ! [X5: produc367475239e_name,Xs2: list_P227219501e_name,Y3: produc367475239e_name,Ys: list_P227219501e_name] :
( ( P @ Xs2 @ Ys )
=> ( P @ ( cons_P1213805021e_name @ X5 @ Xs2 ) @ ( cons_P1213805021e_name @ Y3 @ Ys ) ) )
=> ( P @ Xs @ Ys3 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_267_list__induct2_H) ).
thf(94,axiom,
! [Xs: list_P227219501e_name] :
( ( Xs != nil_Pr743626285e_name )
= ( ? [Y5: produc367475239e_name,Ys2: list_P227219501e_name] :
( Xs
= ( cons_P1213805021e_name @ Y5 @ Ys2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_266_neq__Nil__conv) ).
thf(95,axiom,
! [P: list_P227219501e_name > $o,List: list_P227219501e_name] :
( ( P @ nil_Pr743626285e_name )
=> ( ! [X13: produc367475239e_name,X23: list_P227219501e_name] :
( ( P @ X23 )
=> ( P @ ( cons_P1213805021e_name @ X13 @ X23 ) ) )
=> ( P @ List ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_265_list_Oinducts) ).
thf(96,axiom,
! [Y: list_P227219501e_name] :
( ( Y != nil_Pr743626285e_name )
=> ~ ! [X212: produc367475239e_name,X222: list_P227219501e_name] :
( Y
!= ( cons_P1213805021e_name @ X212 @ X222 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_264_list_Oexhaust) ).
thf(97,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_263_list_OdiscI) ).
thf(98,axiom,
! [X21: produc367475239e_name,X22: list_P227219501e_name] :
( nil_Pr743626285e_name
!= ( cons_P1213805021e_name @ X21 @ X22 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_262_list_Odistinct_I1_J) ).
thf(111,axiom,
! [C2: $o,Pi: list_P227219501e_name,X: pi,Y: pi] :
( ( C2
=> ( ( perm_name_pi @ Pi @ ( if_pi @ C2 @ X @ Y ) )
= ( perm_name_pi @ Pi @ X ) ) )
& ( ~ C2
=> ( ( perm_name_pi @ Pi @ ( if_pi @ C2 @ X @ Y ) )
= ( perm_name_pi @ Pi @ Y ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_249_abs__fun__if) ).
thf(116,axiom,
! [X: pi,Y: pi,Pi: list_P227219501e_name] :
( ( X = Y )
=> ( ( perm_name_pi @ Pi @ X )
= ( perm_name_pi @ Pi @ Y ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_244_pt__bij3) ).
thf(126,axiom,
! [P: list_P227219501e_name > $o] :
( ! [X_1: list_P227219501e_name] : ( P @ X_1 )
=> ( P @ nil_Pr743626285e_name ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_234_allE__Nil) ).
thf(127,axiom,
! [X: produc367475239e_name,Xs: list_P227219501e_name] :
( ( cons_P1213805021e_name @ X @ Xs )
!= Xs ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_233_not__Cons__self2) ).
thf(129,axiom,
! [P: produc367475239e_name > $o,Prod: produc367475239e_name] :
( ! [A5: name,B4: name] : ( P @ ( produc1570949143e_name @ A5 @ B4 ) )
=> ( P @ Prod ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_231_old_Oprod_Oinducts) ).
thf(131,axiom,
! [Y: produc367475239e_name] :
~ ! [A5: name,B4: name] :
( Y
!= ( produc1570949143e_name @ A5 @ B4 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_229_old_Oprod_Oexhaust) ).
thf(133,axiom,
! [A: name,B: name,A4: name,B3: name] :
( ( ( produc1570949143e_name @ A @ B )
= ( produc1570949143e_name @ A4 @ B3 ) )
=> ~ ( ( A = A4 )
=> ( B != B3 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_227_Pair__inject) ).
thf(135,axiom,
! [P: produc367475239e_name > $o,P5: produc367475239e_name] :
( ! [A5: name,B4: name] : ( P @ ( produc1570949143e_name @ A5 @ B4 ) )
=> ( P @ P5 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_225_prod__cases) ).
thf(137,axiom,
! [P5: produc367475239e_name] :
? [X5: name,Y3: name] :
( P5
= ( produc1570949143e_name @ X5 @ Y3 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_223_surj__pair) ).
thf(152,axiom,
! [X: produc890461031e_name] :
( ! [Ys: list_P227219501e_name] :
( X
!= ( produc208131031e_name @ nil_Pr743626285e_name @ Ys ) )
=> ( ! [Xs2: list_P227219501e_name] :
( X
!= ( produc208131031e_name @ Xs2 @ nil_Pr743626285e_name ) )
=> ~ ! [X5: produc367475239e_name,Xs2: list_P227219501e_name,Y3: produc367475239e_name,Ys: list_P227219501e_name] :
( X
!= ( produc208131031e_name @ ( cons_P1213805021e_name @ X5 @ Xs2 ) @ ( cons_P1213805021e_name @ Y3 @ Ys ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_208_shuffles_Ocases) ).
thf(153,axiom,
! [X: produc890461031e_name] :
( ! [Ys: list_P227219501e_name] :
( X
!= ( produc208131031e_name @ nil_Pr743626285e_name @ Ys ) )
=> ~ ! [X5: produc367475239e_name,Xs2: list_P227219501e_name,Ys: list_P227219501e_name] :
( X
!= ( produc208131031e_name @ ( cons_P1213805021e_name @ X5 @ Xs2 ) @ Ys ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_207_splice_Ocases) ).
thf(154,axiom,
! [X: produc1872410278e_name] :
( ! [P4: produc367475239e_name > produc367475239e_name > $o] :
( X
!= ( produc1069608854e_name @ P4 @ nil_Pr743626285e_name ) )
=> ( ! [P4: produc367475239e_name > produc367475239e_name > $o,X5: produc367475239e_name] :
( X
!= ( produc1069608854e_name @ P4 @ ( cons_P1213805021e_name @ X5 @ nil_Pr743626285e_name ) ) )
=> ~ ! [P4: produc367475239e_name > produc367475239e_name > $o,X5: produc367475239e_name,Y3: produc367475239e_name,Xs2: list_P227219501e_name] :
( X
!= ( produc1069608854e_name @ P4 @ ( cons_P1213805021e_name @ X5 @ ( cons_P1213805021e_name @ Y3 @ Xs2 ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_206_successively_Ocases) ).
thf(155,axiom,
! [X: produc1872410278e_name] :
( ! [P4: produc367475239e_name > produc367475239e_name > $o] :
( X
!= ( produc1069608854e_name @ P4 @ nil_Pr743626285e_name ) )
=> ~ ! [P4: produc367475239e_name > produc367475239e_name > $o,X5: produc367475239e_name,Ys: list_P227219501e_name] :
( X
!= ( produc1069608854e_name @ P4 @ ( cons_P1213805021e_name @ X5 @ Ys ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_205_sorted__wrt_Ocases) ).
thf(157,axiom,
! [P: late_residual > $o,Residual: late_residual] :
( ! [Subject2: late_subject,Name3: name,Pi4: pi] : ( P @ ( late_BoundR @ Subject2 @ Name3 @ Pi4 ) )
=> ( ! [FreeRes3: late_freeRes,Pi4: pi] : ( P @ ( late_FreeR @ FreeRes3 @ Pi4 ) )
=> ( P @ Residual ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_203_residual_Oinducts) ).
thf(158,axiom,
! [Subject: late_subject,Name: name,Pi: pi,FreeRes2: late_freeRes,Pi3: pi] :
( ( late_BoundR @ Subject @ Name @ Pi )
!= ( late_FreeR @ FreeRes2 @ Pi3 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_202_residual_Odistinct_I1_J) ).
thf(190,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_170_prod_Oinject) ).
thf(192,axiom,
! [A: name,B: name,A4: name,B3: name] :
( ( ( produc1570949143e_name @ A @ B )
= ( produc1570949143e_name @ A4 @ B3 ) )
= ( ( A = A4 )
& ( B = B3 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_168_old_Oprod_Oinject) ).
thf(193,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_167_list_Oinject) ).
thf(204,axiom,
! [X2: late_freeRes,X1: pi,Y2: late_freeRes,Y1: pi] :
( ( ( late_FreeR @ X2 @ X1 )
= ( late_FreeR @ Y2 @ Y1 ) )
= ( ( X2 = Y2 )
& ( X1 = Y1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_156_residual_Oinject_I2_J) ).
thf(205,axiom,
! [Pi: list_P227219501e_name,X: pi,Y: pi] :
( ( perm_name_o @ Pi @ ( X = Y ) )
= ( ( perm_name_pi @ Pi @ X )
= ( perm_name_pi @ Pi @ Y ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_155_eq__eqvt) ).
thf(226,axiom,
! [Pi: list_P227219501e_name,X: pi,Y: pi] :
( ( ( perm_name_pi @ Pi @ X )
= ( perm_name_pi @ Pi @ Y ) )
= ( X = Y ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_134_perm__bij) ).
thf(231,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_129_perm__compose) ).
thf(236,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_124_name__perm__compose) ).
thf(241,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_119_cp__name__name1) ).
thf(247,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_113_fresh__aux) ).
thf(252,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_108_swap__simps_I3_J) ).
thf(253,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_107_swap__simps_I2_J) ).
thf(254,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_106_swap__simps_I1_J) ).
thf(255,axiom,
! [P: pi,Alpha: late_freeRes,P2: pi,Y: name] :
( ( late_transitions @ P @ ( late_FreeR @ Alpha @ P2 ) )
=> ( ( fresh_name_pi @ Y @ P )
=> ( fresh_name_pi @ Y @ P2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_105_freshFreeDerivative_I2_J) ).
thf(256,axiom,
! [Name12: name,Name22: name] :
( ( late_OutputR @ Name12 @ Name22 )
!= late_TauR ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_104_Late__Semantics_OfreeRes_Odistinct_I1_J) ).
thf(257,axiom,
! [X11: name,X12: name] :
( ( late_OutputR @ X11 @ X12 )
!= late_TauR ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_103_Late__Semantics1_OfreeRes_Odistinct_I1_J) ).
thf(258,axiom,
! [P: late_freeRes > $o,FreeRes: late_freeRes] :
( ! [Name1: name,Name2: name] : ( P @ ( late_OutputR @ Name1 @ Name2 ) )
=> ( ( P @ late_TauR )
=> ( P @ FreeRes ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_102_freeRes_Oinducts) ).
thf(259,axiom,
! [Y: late_freeRes] :
( ! [X112: name,X122: name] :
( Y
!= ( late_OutputR @ X112 @ X122 ) )
=> ( Y = late_TauR ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_101_freeRes_Oexhaust) ).
thf(260,axiom,
! [X: name] :
( ( perm_name_name @ nil_Pr743626285e_name @ X )
= X ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_100_name__calc_I2_J) ).
thf(288,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_72_name__fresh__fresh) ).
thf(294,axiom,
! [A: name,X: pi,B: name] :
( ( fresh_name_pi @ A @ X )
=> ( ( fresh_name_pi @ B @ X )
=> ( ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ X )
= X ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_66_perm__fresh__fresh) ).
thf(299,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_61_residual_Operm_I2_J) ).
thf(306,axiom,
! [Pi_Rep: pi_Rep] :
( ( perm_name_pi_Rep @ nil_Pr743626285e_name @ Pi_Rep )
= Pi_Rep ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_54_pi__perm__empty) ).
thf(307,axiom,
! [FreeRes_Rep: late_freeRes_Rep] :
( ( perm_n1938283068es_Rep @ nil_Pr743626285e_name @ FreeRes_Rep )
= FreeRes_Rep ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_53_freeRes__perm__empty) ).
thf(308,axiom,
! [Subject_Rep: late_subject_Rep] :
( ( perm_n697952036ct_Rep @ nil_Pr743626285e_name @ Subject_Rep )
= Subject_Rep ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_52_subject__perm__empty) ).
thf(309,axiom,
! [Residual_Rep: late_residual_Rep] :
( ( perm_n890803237al_Rep @ nil_Pr743626285e_name @ Residual_Rep )
= Residual_Rep ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_51_residual__perm__empty) ).
thf(316,axiom,
! [X11: name,X12: name,Y11: name,Y12: name] :
( ( ( late_OutputR @ X11 @ X12 )
= ( late_OutputR @ Y11 @ Y12 ) )
= ( ( X11 = Y11 )
& ( X12 = Y12 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_44_Late__Semantics1_OfreeRes_Oinject) ).
thf(317,axiom,
! [X2: name,X1: name,Y2: name,Y1: name] :
( ( ( late_OutputR @ X2 @ X1 )
= ( late_OutputR @ Y2 @ Y1 ) )
= ( ( X2 = Y2 )
& ( X1 = Y1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_43_Late__Semantics_OfreeRes_Oinject) ).
thf(318,axiom,
fresh_name_pi @ z @ q,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_42__092_060open_062z_A_092_060sharp_062_AQ_092_060close_062) ).
thf(319,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_41_eqvt) ).
thf(320,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_40_perm__swap_I2_J) ).
thf(321,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_39_perm__swap_I2_J) ).
thf(322,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_38_perm__swap_I2_J) ).
thf(323,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_37_perm__swap_I2_J) ).
thf(324,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_36_perm__swap_I2_J) ).
thf(325,axiom,
y != x,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_35__092_060open_062y_A_092_060noteq_062_Ax_092_060close_062) ).
thf(326,axiom,
! [X: pi] :
( ( perm_name_pi @ nil_Pr743626285e_name @ X )
= X ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_34_pt__name1) ).
thf(327,axiom,
! [X: name] :
( ( perm_name_name @ nil_Pr743626285e_name @ X )
= X ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_33_pt__name1) ).
thf(328,axiom,
! [X: pi_Rep] :
( ( perm_name_pi_Rep @ nil_Pr743626285e_name @ X )
= X ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_32_pt__name1) ).
thf(329,axiom,
! [X: late_freeRes] :
( ( perm_n336613537reeRes @ nil_Pr743626285e_name @ X )
= X ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_31_pt__name1) ).
thf(330,axiom,
! [X: late_subject] :
( ( perm_n1559866809ubject @ nil_Pr743626285e_name @ X )
= X ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_30_pt__name1) ).
thf(331,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_29_name__swap__bij) ).
thf(332,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_28_name__swap__bij) ).
thf(333,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_27_name__swap__bij) ).
thf(334,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_26_name__swap__bij) ).
thf(335,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_25_name__swap__bij) ).
thf(336,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_24_name__swap) ).
thf(337,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_23_name__swap) ).
thf(338,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_22_name__swap) ).
thf(339,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_21_name__swap) ).
thf(340,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_20_name__swap) ).
thf(341,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_19_name__id) ).
thf(342,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_18_name__id) ).
thf(343,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_17_name__id) ).
thf(344,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_16_name__id) ).
thf(345,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_15_name__id) ).
thf(346,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_14_perm__swap_I1_J) ).
thf(347,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_13_perm__swap_I1_J) ).
thf(348,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_12_perm__swap_I1_J) ).
thf(349,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_11_perm__swap_I1_J) ).
thf(350,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_10_perm__swap_I1_J) ).
thf(351,axiom,
fresh_name_name @ z @ x,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_9_cClose1_Ohyps_I13_J) ).
thf(354,axiom,
late_transitions @ q @ ( late_FreeR @ ( late_OutputR @ b @ x ) @ q_a ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6_cOpen_Ohyps_I1_J) ).
thf(355,axiom,
z != x,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5__092_060open_062z_A_092_060noteq_062_Ax_092_060close_062) ).
thf(356,axiom,
y != aa,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4_cClose1_Ohyps_I5_J) ).
thf(357,axiom,
y != z,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3_cClose1_Ohyps_I6_J) ).
thf(358,axiom,
z != aa,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2_cClose1_Ohyps_I10_J) ).
thf(359,axiom,
b != x,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1_cOpen_Ohyps_I2_J) ).
thf(360,axiom,
aa = b,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0__092_060open_062a_A_061_Ab_092_060close_062) ).
thf(361,conjecture,
late_transitions @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ z @ x ) @ nil_Pr743626285e_name ) @ q ) @ ( perm_n414416632sidual @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ z @ x ) @ nil_Pr743626285e_name ) @ ( late_FreeR @ ( late_OutputR @ aa @ x ) @ q_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
thf(362,negated_conjecture,
( ( late_transitions @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ z @ x ) @ nil_Pr743626285e_name ) @ q ) @ ( perm_n414416632sidual @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ z @ x ) @ nil_Pr743626285e_name ) @ ( late_FreeR @ ( late_OutputR @ aa @ x ) @ q_a ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[361]) ).
thf(363,plain,
( ( late_transitions @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ z @ x ) @ nil_Pr743626285e_name ) @ q ) @ ( perm_n414416632sidual @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ z @ x ) @ nil_Pr743626285e_name ) @ ( late_FreeR @ ( late_OutputR @ aa @ x ) @ q_a ) ) )
= $false ),
inference(unfold_def,[status(thm)],[362]) ).
thf(364,plain,
( ( ! [P: $o] :
( ( P = $true )
| ( P = $false ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(365,plain,
( ( ! [A: name] :
( ( name_prm_name @ nil_Pr743626285e_name @ A )
= A ) )
= $true ),
inference(unfold_def,[status(thm)],[19]) ).
thf(366,plain,
( ( ! [A: name,C2: name,B: name] :
( ( ( A = C2 )
=> ( ( swap_name @ ( produc1570949143e_name @ A @ B ) @ C2 )
= B ) )
& ( ( A != C2 )
=> ( ( ( B = C2 )
=> ( ( swap_name @ ( produc1570949143e_name @ A @ B ) @ C2 )
= A ) )
& ( ( B != C2 )
=> ( ( swap_name @ ( produc1570949143e_name @ A @ B ) @ C2 )
= C2 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[25]) ).
thf(367,plain,
( ( ! [A: name,X: name,P: pi,Alpha: late_freeRes,P2: pi] :
~ ( late_transitions @ ( input @ A @ X @ P ) @ ( late_FreeR @ Alpha @ P2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[59]) ).
thf(368,plain,
( ( ! [A: name,C2: name,B: name] :
( ( ( A = C2 )
=> ( ( swap_name2 @ ( produc1570949143e_name @ A @ B ) @ C2 )
= B ) )
& ( ( A != C2 )
=> ( ( ( B = C2 )
=> ( ( swap_name2 @ ( produc1570949143e_name @ A @ B ) @ C2 )
= A ) )
& ( ( B != C2 )
=> ( ( swap_name2 @ ( produc1570949143e_name @ A @ B ) @ C2 )
= C2 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[62]) ).
thf(369,plain,
( ( ! [P: pi,Alpha: late_freeRes,P2: pi,Q: pi] :
( ( late_transitions @ P @ ( late_FreeR @ Alpha @ P2 ) )
=> ( late_transitions @ ( par @ P @ Q ) @ ( late_FreeR @ Alpha @ ( par @ P2 @ Q ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[63]) ).
thf(370,plain,
( ( ! [Q: pi,Alpha: late_freeRes,Q2: pi,P: pi] :
( ( late_transitions @ Q @ ( late_FreeR @ Alpha @ Q2 ) )
=> ( late_transitions @ ( par @ P @ Q ) @ ( late_FreeR @ Alpha @ ( par @ P @ Q2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[64]) ).
thf(371,plain,
( ( ! [Pi: list_P227219501e_name,X2: pi,X1: pi] :
( ( perm_name_pi @ Pi @ ( par @ X2 @ X1 ) )
= ( par @ ( perm_name_pi @ Pi @ X2 ) @ ( perm_name_pi @ Pi @ X1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[80]) ).
thf(372,plain,
( ( ! [P: ( produc367475239e_name > produc367475239e_name > $o ) > list_P227219501e_name > $o,A0: produc367475239e_name > produc367475239e_name > $o,A1: list_P227219501e_name] :
( ! [P4: produc367475239e_name > produc367475239e_name > $o] : ( P @ P4 @ nil_Pr743626285e_name )
=> ( ! [P4: produc367475239e_name > produc367475239e_name > $o,X5: produc367475239e_name,Ys: list_P227219501e_name] :
( ( P @ P4 @ Ys )
=> ( P @ P4 @ ( cons_P1213805021e_name @ X5 @ Ys ) ) )
=> ( P @ A0 @ A1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[87]) ).
thf(373,plain,
( ( ! [X: list_P227219501e_name] :
( ( X != nil_Pr743626285e_name )
=> ( ! [X5: produc367475239e_name] :
( X
!= ( cons_P1213805021e_name @ X5 @ nil_Pr743626285e_name ) )
=> ~ ! [X5: produc367475239e_name,Y3: produc367475239e_name,Xs2: list_P227219501e_name] :
( X
!= ( cons_P1213805021e_name @ X5 @ ( cons_P1213805021e_name @ Y3 @ Xs2 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[88]) ).
thf(374,plain,
( ( ! [P: list_P227219501e_name > list_P227219501e_name > $o,A0: list_P227219501e_name,A1: list_P227219501e_name] :
( ! [X_1: list_P227219501e_name] : ( P @ nil_Pr743626285e_name @ X_1 )
=> ( ! [Xs2: list_P227219501e_name] : ( P @ Xs2 @ nil_Pr743626285e_name )
=> ( ! [X5: produc367475239e_name,Xs2: list_P227219501e_name,Y3: produc367475239e_name,Ys: list_P227219501e_name] :
( ( P @ Xs2 @ ( cons_P1213805021e_name @ Y3 @ Ys ) )
=> ( ( P @ ( cons_P1213805021e_name @ X5 @ Xs2 ) @ Ys )
=> ( P @ ( cons_P1213805021e_name @ X5 @ Xs2 ) @ ( cons_P1213805021e_name @ Y3 @ Ys ) ) ) )
=> ( P @ A0 @ A1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[90]) ).
thf(375,plain,
( ( ! [P: list_P227219501e_name > $o,Xs: list_P227219501e_name] :
( ( P @ nil_Pr743626285e_name )
=> ( ! [X5: produc367475239e_name] : ( P @ ( cons_P1213805021e_name @ X5 @ nil_Pr743626285e_name ) )
=> ( ! [X5: produc367475239e_name,Y3: produc367475239e_name,Zs: list_P227219501e_name] :
( ( P @ Zs )
=> ( ( P @ ( cons_P1213805021e_name @ Y3 @ Zs ) )
=> ( P @ ( cons_P1213805021e_name @ X5 @ ( cons_P1213805021e_name @ Y3 @ Zs ) ) ) ) )
=> ( P @ Xs ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[91]) ).
thf(376,plain,
( ( ! [P: list_P227219501e_name > list_P227219501e_name > $o,A0: list_P227219501e_name,A1: list_P227219501e_name] :
( ! [X_1: list_P227219501e_name] : ( P @ nil_Pr743626285e_name @ X_1 )
=> ( ! [X5: produc367475239e_name,Xs2: list_P227219501e_name,Ys: list_P227219501e_name] :
( ( P @ Ys @ Xs2 )
=> ( P @ ( cons_P1213805021e_name @ X5 @ Xs2 ) @ Ys ) )
=> ( P @ A0 @ A1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[92]) ).
thf(377,plain,
( ( ! [P: list_P227219501e_name > list_P227219501e_name > $o,Xs: list_P227219501e_name,Ys3: list_P227219501e_name] :
( ( P @ nil_Pr743626285e_name @ nil_Pr743626285e_name )
=> ( ! [X5: produc367475239e_name,Xs2: list_P227219501e_name] : ( P @ ( cons_P1213805021e_name @ X5 @ Xs2 ) @ nil_Pr743626285e_name )
=> ( ! [Y3: produc367475239e_name,Ys: list_P227219501e_name] : ( P @ nil_Pr743626285e_name @ ( cons_P1213805021e_name @ Y3 @ Ys ) )
=> ( ! [X5: produc367475239e_name,Xs2: list_P227219501e_name,Y3: produc367475239e_name,Ys: list_P227219501e_name] :
( ( P @ Xs2 @ Ys )
=> ( P @ ( cons_P1213805021e_name @ X5 @ Xs2 ) @ ( cons_P1213805021e_name @ Y3 @ Ys ) ) )
=> ( P @ Xs @ Ys3 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[93]) ).
thf(378,plain,
( ( ! [Xs: list_P227219501e_name] :
( ( Xs != nil_Pr743626285e_name )
= ( ? [Y5: produc367475239e_name,Ys2: list_P227219501e_name] :
( Xs
= ( cons_P1213805021e_name @ Y5 @ Ys2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[94]) ).
thf(379,plain,
( ( ! [P: list_P227219501e_name > $o,List: list_P227219501e_name] :
( ( P @ nil_Pr743626285e_name )
=> ( ! [X13: produc367475239e_name,X23: list_P227219501e_name] :
( ( P @ X23 )
=> ( P @ ( cons_P1213805021e_name @ X13 @ X23 ) ) )
=> ( P @ List ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[95]) ).
thf(380,plain,
( ( ! [Y: list_P227219501e_name] :
( ( Y != nil_Pr743626285e_name )
=> ~ ! [X212: produc367475239e_name,X222: list_P227219501e_name] :
( Y
!= ( cons_P1213805021e_name @ X212 @ X222 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[96]) ).
thf(381,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)],[97]) ).
thf(382,plain,
( ( ! [X21: produc367475239e_name,X22: list_P227219501e_name] :
( nil_Pr743626285e_name
!= ( cons_P1213805021e_name @ X21 @ X22 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[98]) ).
thf(383,plain,
( ( ! [C2: $o,Pi: list_P227219501e_name,X: pi,Y: pi] :
( ( C2
=> ( ( perm_name_pi @ Pi @ ( if_pi @ C2 @ X @ Y ) )
= ( perm_name_pi @ Pi @ X ) ) )
& ( ~ C2
=> ( ( perm_name_pi @ Pi @ ( if_pi @ C2 @ X @ Y ) )
= ( perm_name_pi @ Pi @ Y ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[111]) ).
thf(384,plain,
( ( ! [X: pi,Y: pi,Pi: list_P227219501e_name] :
( ( X = Y )
=> ( ( perm_name_pi @ Pi @ X )
= ( perm_name_pi @ Pi @ Y ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[116]) ).
thf(385,plain,
( ( ! [P: list_P227219501e_name > $o] :
( ! [X_1: list_P227219501e_name] : ( P @ X_1 )
=> ( P @ nil_Pr743626285e_name ) ) )
= $true ),
inference(unfold_def,[status(thm)],[126]) ).
thf(386,plain,
( ( ! [X: produc367475239e_name,Xs: list_P227219501e_name] :
( ( cons_P1213805021e_name @ X @ Xs )
!= Xs ) )
= $true ),
inference(unfold_def,[status(thm)],[127]) ).
thf(387,plain,
( ( ! [P: produc367475239e_name > $o,Prod: produc367475239e_name] :
( ! [A5: name,B4: name] : ( P @ ( produc1570949143e_name @ A5 @ B4 ) )
=> ( P @ Prod ) ) )
= $true ),
inference(unfold_def,[status(thm)],[129]) ).
thf(388,plain,
( ( ! [Y: produc367475239e_name] :
~ ! [A5: name,B4: name] :
( Y
!= ( produc1570949143e_name @ A5 @ B4 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[131]) ).
thf(389,plain,
( ( ! [A: name,B: name,A4: name,B3: name] :
( ( ( produc1570949143e_name @ A @ B )
= ( produc1570949143e_name @ A4 @ B3 ) )
=> ~ ( ( A = A4 )
=> ( B != B3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[133]) ).
thf(390,plain,
( ( ! [P: produc367475239e_name > $o,P5: produc367475239e_name] :
( ! [A5: name,B4: name] : ( P @ ( produc1570949143e_name @ A5 @ B4 ) )
=> ( P @ P5 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[135]) ).
thf(391,plain,
( ( ! [P5: produc367475239e_name] :
? [X5: name,Y3: name] :
( P5
= ( produc1570949143e_name @ X5 @ Y3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[137]) ).
thf(392,plain,
( ( ! [X: produc890461031e_name] :
( ! [Ys: list_P227219501e_name] :
( X
!= ( produc208131031e_name @ nil_Pr743626285e_name @ Ys ) )
=> ( ! [Xs2: list_P227219501e_name] :
( X
!= ( produc208131031e_name @ Xs2 @ nil_Pr743626285e_name ) )
=> ~ ! [X5: produc367475239e_name,Xs2: list_P227219501e_name,Y3: produc367475239e_name,Ys: list_P227219501e_name] :
( X
!= ( produc208131031e_name @ ( cons_P1213805021e_name @ X5 @ Xs2 ) @ ( cons_P1213805021e_name @ Y3 @ Ys ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[152]) ).
thf(393,plain,
( ( ! [X: produc890461031e_name] :
( ! [Ys: list_P227219501e_name] :
( X
!= ( produc208131031e_name @ nil_Pr743626285e_name @ Ys ) )
=> ~ ! [X5: produc367475239e_name,Xs2: list_P227219501e_name,Ys: list_P227219501e_name] :
( X
!= ( produc208131031e_name @ ( cons_P1213805021e_name @ X5 @ Xs2 ) @ Ys ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[153]) ).
thf(394,plain,
( ( ! [X: produc1872410278e_name] :
( ! [P4: produc367475239e_name > produc367475239e_name > $o] :
( X
!= ( produc1069608854e_name @ P4 @ nil_Pr743626285e_name ) )
=> ( ! [P4: produc367475239e_name > produc367475239e_name > $o,X5: produc367475239e_name] :
( X
!= ( produc1069608854e_name @ P4 @ ( cons_P1213805021e_name @ X5 @ nil_Pr743626285e_name ) ) )
=> ~ ! [P4: produc367475239e_name > produc367475239e_name > $o,X5: produc367475239e_name,Y3: produc367475239e_name,Xs2: list_P227219501e_name] :
( X
!= ( produc1069608854e_name @ P4 @ ( cons_P1213805021e_name @ X5 @ ( cons_P1213805021e_name @ Y3 @ Xs2 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[154]) ).
thf(395,plain,
( ( ! [X: produc1872410278e_name] :
( ! [P4: produc367475239e_name > produc367475239e_name > $o] :
( X
!= ( produc1069608854e_name @ P4 @ nil_Pr743626285e_name ) )
=> ~ ! [P4: produc367475239e_name > produc367475239e_name > $o,X5: produc367475239e_name,Ys: list_P227219501e_name] :
( X
!= ( produc1069608854e_name @ P4 @ ( cons_P1213805021e_name @ X5 @ Ys ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[155]) ).
thf(396,plain,
( ( ! [P: late_residual > $o,Residual: late_residual] :
( ! [Subject2: late_subject,Name3: name,Pi4: pi] : ( P @ ( late_BoundR @ Subject2 @ Name3 @ Pi4 ) )
=> ( ! [FreeRes3: late_freeRes,Pi4: pi] : ( P @ ( late_FreeR @ FreeRes3 @ Pi4 ) )
=> ( P @ Residual ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[157]) ).
thf(397,plain,
( ( ! [Subject: late_subject,Name: name,Pi: pi,FreeRes2: late_freeRes,Pi3: pi] :
( ( late_BoundR @ Subject @ Name @ Pi )
!= ( late_FreeR @ FreeRes2 @ Pi3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[158]) ).
thf(398,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)],[190]) ).
thf(399,plain,
( ( ! [A: name,B: name,A4: name,B3: name] :
( ( ( produc1570949143e_name @ A @ B )
= ( produc1570949143e_name @ A4 @ B3 ) )
= ( ( A = A4 )
& ( B = B3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[192]) ).
thf(400,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)],[193]) ).
thf(401,plain,
( ( ! [X2: late_freeRes,X1: pi,Y2: late_freeRes,Y1: pi] :
( ( ( late_FreeR @ X2 @ X1 )
= ( late_FreeR @ Y2 @ Y1 ) )
= ( ( X2 = Y2 )
& ( X1 = Y1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[204]) ).
thf(402,plain,
( ( ! [Pi: list_P227219501e_name,X: pi,Y: pi] :
( ( perm_name_o @ Pi @ ( X = Y ) )
= ( ( perm_name_pi @ Pi @ X )
= ( perm_name_pi @ Pi @ Y ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[205]) ).
thf(403,plain,
( ( ! [Pi: list_P227219501e_name,X: pi,Y: pi] :
( ( ( perm_name_pi @ Pi @ X )
= ( perm_name_pi @ Pi @ Y ) )
= ( X = Y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[226]) ).
thf(404,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)],[231]) ).
thf(405,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)],[236]) ).
thf(406,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)],[241]) ).
thf(407,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)],[247]) ).
thf(408,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)],[252]) ).
thf(409,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)],[253]) ).
thf(410,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)],[254]) ).
thf(411,plain,
( ( ! [P: pi,Alpha: late_freeRes,P2: pi,Y: name] :
( ( late_transitions @ P @ ( late_FreeR @ Alpha @ P2 ) )
=> ( ( fresh_name_pi @ Y @ P )
=> ( fresh_name_pi @ Y @ P2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[255]) ).
thf(412,plain,
( ( ! [Name12: name,Name22: name] :
( ( late_OutputR @ Name12 @ Name22 )
!= late_TauR ) )
= $true ),
inference(unfold_def,[status(thm)],[256]) ).
thf(413,plain,
( ( ! [X11: name,X12: name] :
( ( late_OutputR @ X11 @ X12 )
!= late_TauR ) )
= $true ),
inference(unfold_def,[status(thm)],[257]) ).
thf(414,plain,
( ( ! [P: late_freeRes > $o,FreeRes: late_freeRes] :
( ! [Name1: name,Name2: name] : ( P @ ( late_OutputR @ Name1 @ Name2 ) )
=> ( ( P @ late_TauR )
=> ( P @ FreeRes ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[258]) ).
thf(415,plain,
( ( ! [Y: late_freeRes] :
( ! [X112: name,X122: name] :
( Y
!= ( late_OutputR @ X112 @ X122 ) )
=> ( Y = late_TauR ) ) )
= $true ),
inference(unfold_def,[status(thm)],[259]) ).
thf(416,plain,
( ( ! [X: name] :
( ( perm_name_name @ nil_Pr743626285e_name @ X )
= X ) )
= $true ),
inference(unfold_def,[status(thm)],[260]) ).
thf(417,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)],[288]) ).
thf(418,plain,
( ( ! [A: name,X: pi,B: name] :
( ( fresh_name_pi @ A @ X )
=> ( ( fresh_name_pi @ B @ X )
=> ( ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ A @ B ) @ nil_Pr743626285e_name ) @ X )
= X ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[294]) ).
thf(419,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)],[299]) ).
thf(420,plain,
( ( ! [Pi_Rep: pi_Rep] :
( ( perm_name_pi_Rep @ nil_Pr743626285e_name @ Pi_Rep )
= Pi_Rep ) )
= $true ),
inference(unfold_def,[status(thm)],[306]) ).
thf(421,plain,
( ( ! [FreeRes_Rep: late_freeRes_Rep] :
( ( perm_n1938283068es_Rep @ nil_Pr743626285e_name @ FreeRes_Rep )
= FreeRes_Rep ) )
= $true ),
inference(unfold_def,[status(thm)],[307]) ).
thf(422,plain,
( ( ! [Subject_Rep: late_subject_Rep] :
( ( perm_n697952036ct_Rep @ nil_Pr743626285e_name @ Subject_Rep )
= Subject_Rep ) )
= $true ),
inference(unfold_def,[status(thm)],[308]) ).
thf(423,plain,
( ( ! [Residual_Rep: late_residual_Rep] :
( ( perm_n890803237al_Rep @ nil_Pr743626285e_name @ Residual_Rep )
= Residual_Rep ) )
= $true ),
inference(unfold_def,[status(thm)],[309]) ).
thf(424,plain,
( ( ! [X11: name,X12: name,Y11: name,Y12: name] :
( ( ( late_OutputR @ X11 @ X12 )
= ( late_OutputR @ Y11 @ Y12 ) )
= ( ( X11 = Y11 )
& ( X12 = Y12 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[316]) ).
thf(425,plain,
( ( ! [X2: name,X1: name,Y2: name,Y1: name] :
( ( ( late_OutputR @ X2 @ X1 )
= ( late_OutputR @ Y2 @ Y1 ) )
= ( ( X2 = Y2 )
& ( X1 = Y1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[317]) ).
thf(426,plain,
( ( fresh_name_pi @ z @ q )
= $true ),
inference(unfold_def,[status(thm)],[318]) ).
thf(427,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)],[319]) ).
thf(428,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)],[320]) ).
thf(429,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)],[321]) ).
thf(430,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)],[322]) ).
thf(431,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)],[323]) ).
thf(432,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)],[324]) ).
thf(433,plain,
( ( y != x )
= $true ),
inference(unfold_def,[status(thm)],[325]) ).
thf(434,plain,
( ( ! [X: pi] :
( ( perm_name_pi @ nil_Pr743626285e_name @ X )
= X ) )
= $true ),
inference(unfold_def,[status(thm)],[326]) ).
thf(435,plain,
( ( ! [X: name] :
( ( perm_name_name @ nil_Pr743626285e_name @ X )
= X ) )
= $true ),
inference(unfold_def,[status(thm)],[327]) ).
thf(436,plain,
( ( ! [X: pi_Rep] :
( ( perm_name_pi_Rep @ nil_Pr743626285e_name @ X )
= X ) )
= $true ),
inference(unfold_def,[status(thm)],[328]) ).
thf(437,plain,
( ( ! [X: late_freeRes] :
( ( perm_n336613537reeRes @ nil_Pr743626285e_name @ X )
= X ) )
= $true ),
inference(unfold_def,[status(thm)],[329]) ).
thf(438,plain,
( ( ! [X: late_subject] :
( ( perm_n1559866809ubject @ nil_Pr743626285e_name @ X )
= X ) )
= $true ),
inference(unfold_def,[status(thm)],[330]) ).
thf(439,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)],[331]) ).
thf(440,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)],[332]) ).
thf(441,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)],[333]) ).
thf(442,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)],[334]) ).
thf(443,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)],[335]) ).
thf(444,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)],[336]) ).
thf(445,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)],[337]) ).
thf(446,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)],[338]) ).
thf(447,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)],[339]) ).
thf(448,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)],[340]) ).
thf(449,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)],[341]) ).
thf(450,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)],[342]) ).
thf(451,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)],[343]) ).
thf(452,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)],[344]) ).
thf(453,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)],[345]) ).
thf(454,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)],[346]) ).
thf(455,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)],[347]) ).
thf(456,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)],[348]) ).
thf(457,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)],[349]) ).
thf(458,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)],[350]) ).
thf(459,plain,
( ( fresh_name_name @ z @ x )
= $true ),
inference(unfold_def,[status(thm)],[351]) ).
thf(460,plain,
( ( late_transitions @ q @ ( late_FreeR @ ( late_OutputR @ b @ x ) @ q_a ) )
= $true ),
inference(unfold_def,[status(thm)],[354]) ).
thf(461,plain,
( ( z != x )
= $true ),
inference(unfold_def,[status(thm)],[355]) ).
thf(462,plain,
( ( y != aa )
= $true ),
inference(unfold_def,[status(thm)],[356]) ).
thf(463,plain,
( ( y != z )
= $true ),
inference(unfold_def,[status(thm)],[357]) ).
thf(464,plain,
( ( z != aa )
= $true ),
inference(unfold_def,[status(thm)],[358]) ).
thf(465,plain,
( ( b != x )
= $true ),
inference(unfold_def,[status(thm)],[359]) ).
thf(466,plain,
( ( aa = b )
= $true ),
inference(unfold_def,[status(thm)],[360]) ).
thf(467,plain,
( ( ~ ( late_transitions @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ z @ x ) @ nil_Pr743626285e_name ) @ q ) @ ( perm_n414416632sidual @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ z @ x ) @ nil_Pr743626285e_name ) @ ( late_FreeR @ ( late_OutputR @ aa @ x ) @ q_a ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[363]) ).
thf(468,plain,
( ( aa = b )
= $true ),
inference(copy,[status(thm)],[466]) ).
thf(469,plain,
( ( b != x )
= $true ),
inference(copy,[status(thm)],[465]) ).
thf(470,plain,
( ( z != aa )
= $true ),
inference(copy,[status(thm)],[464]) ).
thf(471,plain,
( ( y != z )
= $true ),
inference(copy,[status(thm)],[463]) ).
thf(472,plain,
( ( y != aa )
= $true ),
inference(copy,[status(thm)],[462]) ).
thf(473,plain,
( ( z != x )
= $true ),
inference(copy,[status(thm)],[461]) ).
thf(474,plain,
( ( late_transitions @ q @ ( late_FreeR @ ( late_OutputR @ b @ x ) @ q_a ) )
= $true ),
inference(copy,[status(thm)],[460]) ).
thf(475,plain,
( ( fresh_name_name @ z @ x )
= $true ),
inference(copy,[status(thm)],[459]) ).
thf(476,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)],[458]) ).
thf(477,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)],[457]) ).
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 @ A @ B ) @ nil_Pr743626285e_name ) @ X ) )
= X ) )
= $true ),
inference(copy,[status(thm)],[456]) ).
thf(479,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)],[455]) ).
thf(480,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)],[454]) ).
thf(481,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)],[453]) ).
thf(482,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)],[452]) ).
thf(483,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)],[451]) ).
thf(484,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)],[450]) ).
thf(485,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)],[449]) ).
thf(486,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)],[448]) ).
thf(487,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)],[447]) ).
thf(488,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)],[446]) ).
thf(489,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)],[445]) ).
thf(490,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)],[444]) ).
thf(491,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)],[443]) ).
thf(492,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)],[442]) ).
thf(493,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)],[441]) ).
thf(494,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)],[440]) ).
thf(495,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)],[439]) ).
thf(496,plain,
( ( ! [X: late_subject] :
( ( perm_n1559866809ubject @ nil_Pr743626285e_name @ X )
= X ) )
= $true ),
inference(copy,[status(thm)],[438]) ).
thf(497,plain,
( ( ! [X: late_freeRes] :
( ( perm_n336613537reeRes @ nil_Pr743626285e_name @ X )
= X ) )
= $true ),
inference(copy,[status(thm)],[437]) ).
thf(498,plain,
( ( ! [X: pi_Rep] :
( ( perm_name_pi_Rep @ nil_Pr743626285e_name @ X )
= X ) )
= $true ),
inference(copy,[status(thm)],[436]) ).
thf(499,plain,
( ( ! [X: name] :
( ( perm_name_name @ nil_Pr743626285e_name @ X )
= X ) )
= $true ),
inference(copy,[status(thm)],[435]) ).
thf(500,plain,
( ( ! [X: pi] :
( ( perm_name_pi @ nil_Pr743626285e_name @ X )
= X ) )
= $true ),
inference(copy,[status(thm)],[434]) ).
thf(501,plain,
( ( y != x )
= $true ),
inference(copy,[status(thm)],[433]) ).
thf(502,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)],[432]) ).
thf(503,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)],[431]) ).
thf(504,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)],[430]) ).
thf(505,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)],[429]) ).
thf(506,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)],[428]) ).
thf(507,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)],[427]) ).
thf(508,plain,
( ( fresh_name_pi @ z @ q )
= $true ),
inference(copy,[status(thm)],[426]) ).
thf(509,plain,
( ( ! [X2: name,X1: name,Y2: name,Y1: name] :
( ( ( late_OutputR @ X2 @ X1 )
= ( late_OutputR @ Y2 @ Y1 ) )
= ( ( X2 = Y2 )
& ( X1 = Y1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[425]) ).
thf(510,plain,
( ( ! [X11: name,X12: name,Y11: name,Y12: name] :
( ( ( late_OutputR @ X11 @ X12 )
= ( late_OutputR @ Y11 @ Y12 ) )
= ( ( X11 = Y11 )
& ( X12 = Y12 ) ) ) )
= $true ),
inference(copy,[status(thm)],[424]) ).
thf(511,plain,
( ( ! [Residual_Rep: late_residual_Rep] :
( ( perm_n890803237al_Rep @ nil_Pr743626285e_name @ Residual_Rep )
= Residual_Rep ) )
= $true ),
inference(copy,[status(thm)],[423]) ).
thf(512,plain,
( ( ! [Subject_Rep: late_subject_Rep] :
( ( perm_n697952036ct_Rep @ nil_Pr743626285e_name @ Subject_Rep )
= Subject_Rep ) )
= $true ),
inference(copy,[status(thm)],[422]) ).
thf(513,plain,
( ( ! [FreeRes_Rep: late_freeRes_Rep] :
( ( perm_n1938283068es_Rep @ nil_Pr743626285e_name @ FreeRes_Rep )
= FreeRes_Rep ) )
= $true ),
inference(copy,[status(thm)],[421]) ).
thf(514,plain,
( ( ! [Pi_Rep: pi_Rep] :
( ( perm_name_pi_Rep @ nil_Pr743626285e_name @ Pi_Rep )
= Pi_Rep ) )
= $true ),
inference(copy,[status(thm)],[420]) ).
thf(515,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)],[419]) ).
thf(516,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)],[418]) ).
thf(517,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)],[417]) ).
thf(518,plain,
( ( ! [X: name] :
( ( perm_name_name @ nil_Pr743626285e_name @ X )
= X ) )
= $true ),
inference(copy,[status(thm)],[416]) ).
thf(519,plain,
( ( ! [Y: late_freeRes] :
( ! [X112: name,X122: name] :
( Y
!= ( late_OutputR @ X112 @ X122 ) )
=> ( Y = late_TauR ) ) )
= $true ),
inference(copy,[status(thm)],[415]) ).
thf(520,plain,
( ( ! [P: late_freeRes > $o,FreeRes: late_freeRes] :
( ! [Name1: name,Name2: name] : ( P @ ( late_OutputR @ Name1 @ Name2 ) )
=> ( ( P @ late_TauR )
=> ( P @ FreeRes ) ) ) )
= $true ),
inference(copy,[status(thm)],[414]) ).
thf(521,plain,
( ( ! [X11: name,X12: name] :
( ( late_OutputR @ X11 @ X12 )
!= late_TauR ) )
= $true ),
inference(copy,[status(thm)],[413]) ).
thf(522,plain,
( ( ! [Name12: name,Name22: name] :
( ( late_OutputR @ Name12 @ Name22 )
!= late_TauR ) )
= $true ),
inference(copy,[status(thm)],[412]) ).
thf(523,plain,
( ( ! [P: pi,Alpha: late_freeRes,P2: pi,Y: name] :
( ( late_transitions @ P @ ( late_FreeR @ Alpha @ P2 ) )
=> ( ( fresh_name_pi @ Y @ P )
=> ( fresh_name_pi @ Y @ P2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[411]) ).
thf(524,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)],[410]) ).
thf(525,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)],[409]) ).
thf(526,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)],[408]) ).
thf(527,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)],[407]) ).
thf(528,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)],[406]) ).
thf(529,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)],[405]) ).
thf(530,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)],[404]) ).
thf(531,plain,
( ( ! [Pi: list_P227219501e_name,X: pi,Y: pi] :
( ( ( perm_name_pi @ Pi @ X )
= ( perm_name_pi @ Pi @ Y ) )
= ( X = Y ) ) )
= $true ),
inference(copy,[status(thm)],[403]) ).
thf(532,plain,
( ( ! [Pi: list_P227219501e_name,X: pi,Y: pi] :
( ( perm_name_o @ Pi @ ( X = Y ) )
= ( ( perm_name_pi @ Pi @ X )
= ( perm_name_pi @ Pi @ Y ) ) ) )
= $true ),
inference(copy,[status(thm)],[402]) ).
thf(533,plain,
( ( ! [X2: late_freeRes,X1: pi,Y2: late_freeRes,Y1: pi] :
( ( ( late_FreeR @ X2 @ X1 )
= ( late_FreeR @ Y2 @ Y1 ) )
= ( ( X2 = Y2 )
& ( X1 = Y1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[401]) ).
thf(534,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)],[400]) ).
thf(535,plain,
( ( ! [A: name,B: name,A4: name,B3: name] :
( ( ( produc1570949143e_name @ A @ B )
= ( produc1570949143e_name @ A4 @ B3 ) )
= ( ( A = A4 )
& ( B = B3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[399]) ).
thf(536,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)],[398]) ).
thf(537,plain,
( ( ! [Subject: late_subject,Name: name,Pi: pi,FreeRes2: late_freeRes,Pi3: pi] :
( ( late_BoundR @ Subject @ Name @ Pi )
!= ( late_FreeR @ FreeRes2 @ Pi3 ) ) )
= $true ),
inference(copy,[status(thm)],[397]) ).
thf(538,plain,
( ( ! [P: late_residual > $o,Residual: late_residual] :
( ! [Subject2: late_subject,Name3: name,Pi4: pi] : ( P @ ( late_BoundR @ Subject2 @ Name3 @ Pi4 ) )
=> ( ! [FreeRes3: late_freeRes,Pi4: pi] : ( P @ ( late_FreeR @ FreeRes3 @ Pi4 ) )
=> ( P @ Residual ) ) ) )
= $true ),
inference(copy,[status(thm)],[396]) ).
thf(539,plain,
( ( ! [X: produc1872410278e_name] :
( ! [P4: produc367475239e_name > produc367475239e_name > $o] :
( X
!= ( produc1069608854e_name @ P4 @ nil_Pr743626285e_name ) )
=> ~ ! [P4: produc367475239e_name > produc367475239e_name > $o,X5: produc367475239e_name,Ys: list_P227219501e_name] :
( X
!= ( produc1069608854e_name @ P4 @ ( cons_P1213805021e_name @ X5 @ Ys ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[395]) ).
thf(540,plain,
( ( ! [X: produc1872410278e_name] :
( ! [P4: produc367475239e_name > produc367475239e_name > $o] :
( X
!= ( produc1069608854e_name @ P4 @ nil_Pr743626285e_name ) )
=> ( ! [P4: produc367475239e_name > produc367475239e_name > $o,X5: produc367475239e_name] :
( X
!= ( produc1069608854e_name @ P4 @ ( cons_P1213805021e_name @ X5 @ nil_Pr743626285e_name ) ) )
=> ~ ! [P4: produc367475239e_name > produc367475239e_name > $o,X5: produc367475239e_name,Y3: produc367475239e_name,Xs2: list_P227219501e_name] :
( X
!= ( produc1069608854e_name @ P4 @ ( cons_P1213805021e_name @ X5 @ ( cons_P1213805021e_name @ Y3 @ Xs2 ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[394]) ).
thf(541,plain,
( ( ! [X: produc890461031e_name] :
( ! [Ys: list_P227219501e_name] :
( X
!= ( produc208131031e_name @ nil_Pr743626285e_name @ Ys ) )
=> ~ ! [X5: produc367475239e_name,Xs2: list_P227219501e_name,Ys: list_P227219501e_name] :
( X
!= ( produc208131031e_name @ ( cons_P1213805021e_name @ X5 @ Xs2 ) @ Ys ) ) ) )
= $true ),
inference(copy,[status(thm)],[393]) ).
thf(542,plain,
( ( ! [X: produc890461031e_name] :
( ! [Ys: list_P227219501e_name] :
( X
!= ( produc208131031e_name @ nil_Pr743626285e_name @ Ys ) )
=> ( ! [Xs2: list_P227219501e_name] :
( X
!= ( produc208131031e_name @ Xs2 @ nil_Pr743626285e_name ) )
=> ~ ! [X5: produc367475239e_name,Xs2: list_P227219501e_name,Y3: produc367475239e_name,Ys: list_P227219501e_name] :
( X
!= ( produc208131031e_name @ ( cons_P1213805021e_name @ X5 @ Xs2 ) @ ( cons_P1213805021e_name @ Y3 @ Ys ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[392]) ).
thf(543,plain,
( ( ! [P5: produc367475239e_name] :
? [X5: name,Y3: name] :
( P5
= ( produc1570949143e_name @ X5 @ Y3 ) ) )
= $true ),
inference(copy,[status(thm)],[391]) ).
thf(544,plain,
( ( ! [P: produc367475239e_name > $o,P5: produc367475239e_name] :
( ! [A5: name,B4: name] : ( P @ ( produc1570949143e_name @ A5 @ B4 ) )
=> ( P @ P5 ) ) )
= $true ),
inference(copy,[status(thm)],[390]) ).
thf(545,plain,
( ( ! [A: name,B: name,A4: name,B3: name] :
( ( ( produc1570949143e_name @ A @ B )
= ( produc1570949143e_name @ A4 @ B3 ) )
=> ~ ( ( A = A4 )
=> ( B != B3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[389]) ).
thf(546,plain,
( ( ! [Y: produc367475239e_name] :
~ ! [A5: name,B4: name] :
( Y
!= ( produc1570949143e_name @ A5 @ B4 ) ) )
= $true ),
inference(copy,[status(thm)],[388]) ).
thf(547,plain,
( ( ! [P: produc367475239e_name > $o,Prod: produc367475239e_name] :
( ! [A5: name,B4: name] : ( P @ ( produc1570949143e_name @ A5 @ B4 ) )
=> ( P @ Prod ) ) )
= $true ),
inference(copy,[status(thm)],[387]) ).
thf(548,plain,
( ( ! [X: produc367475239e_name,Xs: list_P227219501e_name] :
( ( cons_P1213805021e_name @ X @ Xs )
!= Xs ) )
= $true ),
inference(copy,[status(thm)],[386]) ).
thf(549,plain,
( ( ! [P: list_P227219501e_name > $o] :
( ! [X_1: list_P227219501e_name] : ( P @ X_1 )
=> ( P @ nil_Pr743626285e_name ) ) )
= $true ),
inference(copy,[status(thm)],[385]) ).
thf(550,plain,
( ( ! [X: pi,Y: pi,Pi: list_P227219501e_name] :
( ( X = Y )
=> ( ( perm_name_pi @ Pi @ X )
= ( perm_name_pi @ Pi @ Y ) ) ) )
= $true ),
inference(copy,[status(thm)],[384]) ).
thf(551,plain,
( ( ! [C2: $o,Pi: list_P227219501e_name,X: pi,Y: pi] :
( ( C2
=> ( ( perm_name_pi @ Pi @ ( if_pi @ C2 @ X @ Y ) )
= ( perm_name_pi @ Pi @ X ) ) )
& ( ~ C2
=> ( ( perm_name_pi @ Pi @ ( if_pi @ C2 @ X @ Y ) )
= ( perm_name_pi @ Pi @ Y ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[383]) ).
thf(552,plain,
( ( ! [X21: produc367475239e_name,X22: list_P227219501e_name] :
( nil_Pr743626285e_name
!= ( cons_P1213805021e_name @ X21 @ X22 ) ) )
= $true ),
inference(copy,[status(thm)],[382]) ).
thf(553,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)],[381]) ).
thf(554,plain,
( ( ! [Y: list_P227219501e_name] :
( ( Y != nil_Pr743626285e_name )
=> ~ ! [X212: produc367475239e_name,X222: list_P227219501e_name] :
( Y
!= ( cons_P1213805021e_name @ X212 @ X222 ) ) ) )
= $true ),
inference(copy,[status(thm)],[380]) ).
thf(555,plain,
( ( ! [P: list_P227219501e_name > $o,List: list_P227219501e_name] :
( ( P @ nil_Pr743626285e_name )
=> ( ! [X13: produc367475239e_name,X23: list_P227219501e_name] :
( ( P @ X23 )
=> ( P @ ( cons_P1213805021e_name @ X13 @ X23 ) ) )
=> ( P @ List ) ) ) )
= $true ),
inference(copy,[status(thm)],[379]) ).
thf(556,plain,
( ( ! [Xs: list_P227219501e_name] :
( ( Xs != nil_Pr743626285e_name )
= ( ? [Y5: produc367475239e_name,Ys2: list_P227219501e_name] :
( Xs
= ( cons_P1213805021e_name @ Y5 @ Ys2 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[378]) ).
thf(557,plain,
( ( ! [P: list_P227219501e_name > list_P227219501e_name > $o,Xs: list_P227219501e_name,Ys3: list_P227219501e_name] :
( ( P @ nil_Pr743626285e_name @ nil_Pr743626285e_name )
=> ( ! [X5: produc367475239e_name,Xs2: list_P227219501e_name] : ( P @ ( cons_P1213805021e_name @ X5 @ Xs2 ) @ nil_Pr743626285e_name )
=> ( ! [Y3: produc367475239e_name,Ys: list_P227219501e_name] : ( P @ nil_Pr743626285e_name @ ( cons_P1213805021e_name @ Y3 @ Ys ) )
=> ( ! [X5: produc367475239e_name,Xs2: list_P227219501e_name,Y3: produc367475239e_name,Ys: list_P227219501e_name] :
( ( P @ Xs2 @ Ys )
=> ( P @ ( cons_P1213805021e_name @ X5 @ Xs2 ) @ ( cons_P1213805021e_name @ Y3 @ Ys ) ) )
=> ( P @ Xs @ Ys3 ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[377]) ).
thf(558,plain,
( ( ! [P: list_P227219501e_name > list_P227219501e_name > $o,A0: list_P227219501e_name,A1: list_P227219501e_name] :
( ! [X_1: list_P227219501e_name] : ( P @ nil_Pr743626285e_name @ X_1 )
=> ( ! [X5: produc367475239e_name,Xs2: list_P227219501e_name,Ys: list_P227219501e_name] :
( ( P @ Ys @ Xs2 )
=> ( P @ ( cons_P1213805021e_name @ X5 @ Xs2 ) @ Ys ) )
=> ( P @ A0 @ A1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[376]) ).
thf(559,plain,
( ( ! [P: list_P227219501e_name > $o,Xs: list_P227219501e_name] :
( ( P @ nil_Pr743626285e_name )
=> ( ! [X5: produc367475239e_name] : ( P @ ( cons_P1213805021e_name @ X5 @ nil_Pr743626285e_name ) )
=> ( ! [X5: produc367475239e_name,Y3: produc367475239e_name,Zs: list_P227219501e_name] :
( ( P @ Zs )
=> ( ( P @ ( cons_P1213805021e_name @ Y3 @ Zs ) )
=> ( P @ ( cons_P1213805021e_name @ X5 @ ( cons_P1213805021e_name @ Y3 @ Zs ) ) ) ) )
=> ( P @ Xs ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[375]) ).
thf(560,plain,
( ( ! [P: list_P227219501e_name > list_P227219501e_name > $o,A0: list_P227219501e_name,A1: list_P227219501e_name] :
( ! [X_1: list_P227219501e_name] : ( P @ nil_Pr743626285e_name @ X_1 )
=> ( ! [Xs2: list_P227219501e_name] : ( P @ Xs2 @ nil_Pr743626285e_name )
=> ( ! [X5: produc367475239e_name,Xs2: list_P227219501e_name,Y3: produc367475239e_name,Ys: list_P227219501e_name] :
( ( P @ Xs2 @ ( cons_P1213805021e_name @ Y3 @ Ys ) )
=> ( ( P @ ( cons_P1213805021e_name @ X5 @ Xs2 ) @ Ys )
=> ( P @ ( cons_P1213805021e_name @ X5 @ Xs2 ) @ ( cons_P1213805021e_name @ Y3 @ Ys ) ) ) )
=> ( P @ A0 @ A1 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[374]) ).
thf(561,plain,
( ( ! [X: list_P227219501e_name] :
( ( X != nil_Pr743626285e_name )
=> ( ! [X5: produc367475239e_name] :
( X
!= ( cons_P1213805021e_name @ X5 @ nil_Pr743626285e_name ) )
=> ~ ! [X5: produc367475239e_name,Y3: produc367475239e_name,Xs2: list_P227219501e_name] :
( X
!= ( cons_P1213805021e_name @ X5 @ ( cons_P1213805021e_name @ Y3 @ Xs2 ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[373]) ).
thf(562,plain,
( ( ! [P: ( produc367475239e_name > produc367475239e_name > $o ) > list_P227219501e_name > $o,A0: produc367475239e_name > produc367475239e_name > $o,A1: list_P227219501e_name] :
( ! [P4: produc367475239e_name > produc367475239e_name > $o] : ( P @ P4 @ nil_Pr743626285e_name )
=> ( ! [P4: produc367475239e_name > produc367475239e_name > $o,X5: produc367475239e_name,Ys: list_P227219501e_name] :
( ( P @ P4 @ Ys )
=> ( P @ P4 @ ( cons_P1213805021e_name @ X5 @ Ys ) ) )
=> ( P @ A0 @ A1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[372]) ).
thf(563,plain,
( ( ! [Pi: list_P227219501e_name,X2: pi,X1: pi] :
( ( perm_name_pi @ Pi @ ( par @ X2 @ X1 ) )
= ( par @ ( perm_name_pi @ Pi @ X2 ) @ ( perm_name_pi @ Pi @ X1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[371]) ).
thf(564,plain,
( ( ! [Q: pi,Alpha: late_freeRes,Q2: pi,P: pi] :
( ( late_transitions @ Q @ ( late_FreeR @ Alpha @ Q2 ) )
=> ( late_transitions @ ( par @ P @ Q ) @ ( late_FreeR @ Alpha @ ( par @ P @ Q2 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[370]) ).
thf(565,plain,
( ( ! [P: pi,Alpha: late_freeRes,P2: pi,Q: pi] :
( ( late_transitions @ P @ ( late_FreeR @ Alpha @ P2 ) )
=> ( late_transitions @ ( par @ P @ Q ) @ ( late_FreeR @ Alpha @ ( par @ P2 @ Q ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[369]) ).
thf(566,plain,
( ( ! [A: name,C2: name,B: name] :
( ( ( A = C2 )
=> ( ( swap_name2 @ ( produc1570949143e_name @ A @ B ) @ C2 )
= B ) )
& ( ( A != C2 )
=> ( ( ( B = C2 )
=> ( ( swap_name2 @ ( produc1570949143e_name @ A @ B ) @ C2 )
= A ) )
& ( ( B != C2 )
=> ( ( swap_name2 @ ( produc1570949143e_name @ A @ B ) @ C2 )
= C2 ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[368]) ).
thf(567,plain,
( ( ! [A: name,X: name,P: pi,Alpha: late_freeRes,P2: pi] :
~ ( late_transitions @ ( input @ A @ X @ P ) @ ( late_FreeR @ Alpha @ P2 ) ) )
= $true ),
inference(copy,[status(thm)],[367]) ).
thf(568,plain,
( ( ! [A: name,C2: name,B: name] :
( ( ( A = C2 )
=> ( ( swap_name @ ( produc1570949143e_name @ A @ B ) @ C2 )
= B ) )
& ( ( A != C2 )
=> ( ( ( B = C2 )
=> ( ( swap_name @ ( produc1570949143e_name @ A @ B ) @ C2 )
= A ) )
& ( ( B != C2 )
=> ( ( swap_name @ ( produc1570949143e_name @ A @ B ) @ C2 )
= C2 ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[366]) ).
thf(569,plain,
( ( ! [A: name] :
( ( name_prm_name @ nil_Pr743626285e_name @ A )
= A ) )
= $true ),
inference(copy,[status(thm)],[365]) ).
thf(570,plain,
( ( ! [P: $o] :
( ( P = $true )
| ( P = $false ) ) )
= $true ),
inference(copy,[status(thm)],[364]) ).
thf(571,plain,
( ( ~ ( late_transitions @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ z @ x ) @ nil_Pr743626285e_name ) @ q ) @ ( perm_n414416632sidual @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ z @ x ) @ nil_Pr743626285e_name ) @ ( late_FreeR @ ( late_OutputR @ aa @ x ) @ q_a ) ) ) )
= $true ),
inference(copy,[status(thm)],[467]) ).
thf(572,plain,
( ( b != x )
= $true ),
inference(unfold_def,[status(thm)],[469]) ).
thf(573,plain,
( ( ! [SX0: name,SX1: name,SX2: name,SX3: name] :
( ( ( late_OutputR @ SX0 @ SX1 )
= ( late_OutputR @ SX2 @ SX3 ) )
= ( ~ ( ( SX0 != SX2 )
| ( SX1 != SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[510]) ).
thf(574,plain,
( ( y != z )
= $true ),
inference(unfold_def,[status(thm)],[471]) ).
thf(575,plain,
( ( y != aa )
= $true ),
inference(unfold_def,[status(thm)],[472]) ).
thf(576,plain,
( ( ! [SX0: list_P227219501e_name > $o] :
( ~ ! [SX1: list_P227219501e_name] : ( SX0 @ SX1 )
| ( SX0 @ nil_Pr743626285e_name ) ) )
= $true ),
inference(unfold_def,[status(thm)],[549]) ).
thf(577,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)],[527]) ).
thf(578,plain,
( ( z != x )
= $true ),
inference(unfold_def,[status(thm)],[473]) ).
thf(579,plain,
( ( y != x )
= $true ),
inference(unfold_def,[status(thm)],[501]) ).
thf(580,plain,
( ( ! [SX0: produc367475239e_name] :
~ ! [SX1: name,SX2: name] :
( SX0
!= ( produc1570949143e_name @ SX1 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[546]) ).
thf(581,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)],[542]) ).
thf(582,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)],[541]) ).
thf(583,plain,
( ( ! [SX0: late_freeRes > $o,SX1: late_freeRes] :
( ~ ! [SX2: name,SX3: name] : ( SX0 @ ( late_OutputR @ SX2 @ SX3 ) )
| ~ ( SX0 @ late_TauR )
| ( SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[520]) ).
thf(584,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)],[544]) ).
thf(585,plain,
( ( ! [SX0: late_subject,SX1: name,SX2: pi,SX3: late_freeRes,SX4: pi] :
( ( late_BoundR @ SX0 @ SX1 @ SX2 )
!= ( late_FreeR @ SX3 @ SX4 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[537]) ).
thf(586,plain,
( ( ! [SX0: late_freeRes,SX1: pi,SX2: late_freeRes,SX3: pi] :
( ( ( late_FreeR @ SX0 @ SX1 )
= ( late_FreeR @ SX2 @ SX3 ) )
= ( ~ ( ( SX0 != SX2 )
| ( SX1 != SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[533]) ).
thf(587,plain,
( ( ! [SX0: late_residual > $o,SX1: late_residual] :
( ~ ! [SX2: late_subject,SX3: name,SX4: pi] : ( SX0 @ ( late_BoundR @ SX2 @ SX3 @ SX4 ) )
| ~ ! [SX2: late_freeRes,SX3: pi] : ( SX0 @ ( late_FreeR @ SX2 @ SX3 ) )
| ( SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[538]) ).
thf(588,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)],[547]) ).
thf(589,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)],[517]) ).
thf(590,plain,
( ( ! [SX0: produc367475239e_name,SX1: list_P227219501e_name] :
( nil_Pr743626285e_name
!= ( cons_P1213805021e_name @ SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[552]) ).
thf(591,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)],[507]) ).
thf(592,plain,
( ( ! [SX0: name,SX1: name,SX2: name,SX3: name] :
( ( ( late_OutputR @ SX0 @ SX1 )
= ( late_OutputR @ SX2 @ SX3 ) )
= ( ~ ( ( SX0 != SX2 )
| ( SX1 != SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[509]) ).
thf(593,plain,
( ( z != aa )
= $true ),
inference(unfold_def,[status(thm)],[470]) ).
thf(594,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)],[540]) ).
thf(595,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)],[539]) ).
thf(596,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)],[555]) ).
thf(597,plain,
( ( ! [SX0: late_freeRes] :
( ~ ! [SX1: name,SX2: name] :
( SX0
!= ( late_OutputR @ SX1 @ SX2 ) )
| ( SX0 = late_TauR ) ) )
= $true ),
inference(unfold_def,[status(thm)],[519]) ).
thf(598,plain,
( ( ! [SX0: produc367475239e_name,SX1: list_P227219501e_name] :
( ( cons_P1213805021e_name @ SX0 @ SX1 )
!= SX1 ) )
= $true ),
inference(unfold_def,[status(thm)],[548]) ).
thf(599,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)],[557]) ).
thf(600,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)],[516]) ).
thf(601,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)],[536]) ).
thf(602,plain,
( ( ! [SX0: name,SX1: name,SX2: name] :
~ ( ~ ( ( SX0 != SX1 )
| ( ( swap_name2 @ ( produc1570949143e_name @ SX0 @ SX2 ) @ SX1 )
= SX2 ) )
| ~ ( ~ ( ( SX0 != SX1 ) )
| ~ ( ~ ( ( SX2 != SX1 )
| ( ( swap_name2 @ ( produc1570949143e_name @ SX0 @ SX2 ) @ SX1 )
= SX0 ) )
| ~ ( ~ ( ( SX2 != SX1 ) )
| ( ( swap_name2 @ ( produc1570949143e_name @ SX0 @ SX2 ) @ SX1 )
= SX1 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[566]) ).
thf(603,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)],[526]) ).
thf(604,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)],[545]) ).
thf(605,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)],[561]) ).
thf(606,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)],[553]) ).
thf(607,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)],[560]) ).
thf(608,plain,
( ( ! [SX0: pi,SX1: late_freeRes,SX2: pi,SX3: name] :
( ~ ( late_transitions @ SX0 @ ( late_FreeR @ SX1 @ SX2 ) )
| ~ ( fresh_name_pi @ SX3 @ SX0 )
| ( fresh_name_pi @ SX3 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[523]) ).
thf(609,plain,
( ( ! [SX0: name,SX1: name,SX2: name] :
~ ( ~ ( ( SX0 != SX1 )
| ( ( swap_name @ ( produc1570949143e_name @ SX0 @ SX2 ) @ SX1 )
= SX2 ) )
| ~ ( ~ ( ( SX0 != SX1 ) )
| ~ ( ~ ( ( SX2 != SX1 )
| ( ( swap_name @ ( produc1570949143e_name @ SX0 @ SX2 ) @ SX1 )
= SX0 ) )
| ~ ( ~ ( ( SX2 != SX1 ) )
| ( ( swap_name @ ( produc1570949143e_name @ SX0 @ SX2 ) @ SX1 )
= SX1 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[568]) ).
thf(610,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)],[558]) ).
thf(611,plain,
( ( ! [SX0: name,SX1: name] :
( ( late_OutputR @ SX0 @ SX1 )
!= late_TauR ) )
= $true ),
inference(unfold_def,[status(thm)],[522]) ).
thf(612,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)],[535]) ).
thf(613,plain,
( ( ! [SX0: produc367475239e_name] :
~ ! [SX1: name] :
~ ~ ! [SX2: name] :
( SX0
!= ( produc1570949143e_name @ SX1 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[543]) ).
thf(614,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)],[556]) ).
thf(615,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)],[554]) ).
thf(616,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)],[534]) ).
thf(617,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)],[551]) ).
thf(618,plain,
( ( ! [SX0: pi,SX1: late_freeRes,SX2: pi,SX3: pi] :
( ~ ( late_transitions @ SX0 @ ( late_FreeR @ SX1 @ SX2 ) )
| ( late_transitions @ ( par @ SX0 @ SX3 ) @ ( late_FreeR @ SX1 @ ( par @ SX2 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[565]) ).
thf(619,plain,
( ( ! [SX0: pi,SX1: late_freeRes,SX2: pi,SX3: pi] :
( ~ ( late_transitions @ SX0 @ ( late_FreeR @ SX1 @ SX2 ) )
| ( late_transitions @ ( par @ SX3 @ SX0 ) @ ( late_FreeR @ SX1 @ ( par @ SX3 @ SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[564]) ).
thf(620,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)],[562]) ).
thf(621,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)],[550]) ).
thf(622,plain,
( ( ! [SX0: name,SX1: name] :
( ( late_OutputR @ SX0 @ SX1 )
!= late_TauR ) )
= $true ),
inference(unfold_def,[status(thm)],[521]) ).
thf(623,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)],[559]) ).
thf(624,plain,
! [SV1: name] :
( ( ! [SY307: name,SY308: late_subject] :
( ( perm_n1559866809ubject @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV1 @ SY307 ) @ nil_Pr743626285e_name ) @ ( perm_n1559866809ubject @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV1 @ SY307 ) @ nil_Pr743626285e_name ) @ SY308 ) )
= SY308 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[476]) ).
thf(625,plain,
! [SV2: name] :
( ( ! [SY309: name,SY310: late_freeRes] :
( ( perm_n336613537reeRes @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV2 @ SY309 ) @ nil_Pr743626285e_name ) @ ( perm_n336613537reeRes @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV2 @ SY309 ) @ nil_Pr743626285e_name ) @ SY310 ) )
= SY310 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[477]) ).
thf(626,plain,
! [SV3: name] :
( ( ! [SY311: name,SY312: pi_Rep] :
( ( perm_name_pi_Rep @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV3 @ SY311 ) @ nil_Pr743626285e_name ) @ ( perm_name_pi_Rep @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV3 @ SY311 ) @ nil_Pr743626285e_name ) @ SY312 ) )
= SY312 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[478]) ).
thf(627,plain,
! [SV4: name] :
( ( ! [SY313: name,SY314: name] :
( ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV4 @ SY313 ) @ nil_Pr743626285e_name ) @ ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV4 @ SY313 ) @ nil_Pr743626285e_name ) @ SY314 ) )
= SY314 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[479]) ).
thf(628,plain,
! [SV5: name] :
( ( ! [SY315: name,SY316: pi] :
( ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV5 @ SY315 ) @ nil_Pr743626285e_name ) @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV5 @ SY315 ) @ nil_Pr743626285e_name ) @ SY316 ) )
= SY316 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[480]) ).
thf(629,plain,
! [SV6: name] :
( ( ! [SY317: late_subject] :
( ( perm_n1559866809ubject @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV6 @ SV6 ) @ nil_Pr743626285e_name ) @ SY317 )
= SY317 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[481]) ).
thf(630,plain,
! [SV7: name] :
( ( ! [SY318: late_freeRes] :
( ( perm_n336613537reeRes @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV7 @ SV7 ) @ nil_Pr743626285e_name ) @ SY318 )
= SY318 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[482]) ).
thf(631,plain,
! [SV8: name] :
( ( ! [SY319: pi_Rep] :
( ( perm_name_pi_Rep @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV8 @ SV8 ) @ nil_Pr743626285e_name ) @ SY319 )
= SY319 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[483]) ).
thf(632,plain,
! [SV9: name] :
( ( ! [SY320: name] :
( ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV9 @ SV9 ) @ nil_Pr743626285e_name ) @ SY320 )
= SY320 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[484]) ).
thf(633,plain,
! [SV10: name] :
( ( ! [SY321: pi] :
( ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV10 @ SV10 ) @ nil_Pr743626285e_name ) @ SY321 )
= SY321 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[485]) ).
thf(634,plain,
! [SV11: name] :
( ( ! [SY322: name,SY323: late_subject] :
( ( perm_n1559866809ubject @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV11 @ SY322 ) @ nil_Pr743626285e_name ) @ SY323 )
= ( perm_n1559866809ubject @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SY322 @ SV11 ) @ nil_Pr743626285e_name ) @ SY323 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[486]) ).
thf(635,plain,
! [SV12: name] :
( ( ! [SY324: name,SY325: late_freeRes] :
( ( perm_n336613537reeRes @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV12 @ SY324 ) @ nil_Pr743626285e_name ) @ SY325 )
= ( perm_n336613537reeRes @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SY324 @ SV12 ) @ nil_Pr743626285e_name ) @ SY325 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[487]) ).
thf(636,plain,
! [SV13: name] :
( ( ! [SY326: name,SY327: pi_Rep] :
( ( perm_name_pi_Rep @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV13 @ SY326 ) @ nil_Pr743626285e_name ) @ SY327 )
= ( perm_name_pi_Rep @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SY326 @ SV13 ) @ nil_Pr743626285e_name ) @ SY327 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[488]) ).
thf(637,plain,
! [SV14: name] :
( ( ! [SY328: name,SY329: name] :
( ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV14 @ SY328 ) @ nil_Pr743626285e_name ) @ SY329 )
= ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SY328 @ SV14 ) @ nil_Pr743626285e_name ) @ SY329 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[489]) ).
thf(638,plain,
! [SV15: name] :
( ( ! [SY330: name,SY331: pi] :
( ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV15 @ SY330 ) @ nil_Pr743626285e_name ) @ SY331 )
= ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SY330 @ SV15 ) @ nil_Pr743626285e_name ) @ SY331 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[490]) ).
thf(639,plain,
! [SV16: name] :
( ( ! [SY332: name,SY333: late_subject] :
( ( perm_n1559866809ubject @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV16 @ SY332 ) @ nil_Pr743626285e_name ) @ ( perm_n1559866809ubject @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV16 @ SY332 ) @ nil_Pr743626285e_name ) @ SY333 ) )
= SY333 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[491]) ).
thf(640,plain,
! [SV17: name] :
( ( ! [SY334: name,SY335: late_freeRes] :
( ( perm_n336613537reeRes @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV17 @ SY334 ) @ nil_Pr743626285e_name ) @ ( perm_n336613537reeRes @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV17 @ SY334 ) @ nil_Pr743626285e_name ) @ SY335 ) )
= SY335 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[492]) ).
thf(641,plain,
! [SV18: name] :
( ( ! [SY336: name,SY337: pi_Rep] :
( ( perm_name_pi_Rep @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV18 @ SY336 ) @ nil_Pr743626285e_name ) @ ( perm_name_pi_Rep @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV18 @ SY336 ) @ nil_Pr743626285e_name ) @ SY337 ) )
= SY337 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[493]) ).
thf(642,plain,
! [SV19: name] :
( ( ! [SY338: name,SY339: name] :
( ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV19 @ SY338 ) @ nil_Pr743626285e_name ) @ ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV19 @ SY338 ) @ nil_Pr743626285e_name ) @ SY339 ) )
= SY339 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[494]) ).
thf(643,plain,
! [SV20: name] :
( ( ! [SY340: name,SY341: pi] :
( ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV20 @ SY340 ) @ nil_Pr743626285e_name ) @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV20 @ SY340 ) @ nil_Pr743626285e_name ) @ SY341 ) )
= SY341 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[495]) ).
thf(644,plain,
! [SV21: late_subject] :
( ( ( perm_n1559866809ubject @ nil_Pr743626285e_name @ SV21 )
= SV21 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[496]) ).
thf(645,plain,
! [SV22: late_freeRes] :
( ( ( perm_n336613537reeRes @ nil_Pr743626285e_name @ SV22 )
= SV22 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[497]) ).
thf(646,plain,
! [SV23: pi_Rep] :
( ( ( perm_name_pi_Rep @ nil_Pr743626285e_name @ SV23 )
= SV23 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[498]) ).
thf(647,plain,
! [SV24: name] :
( ( ( perm_name_name @ nil_Pr743626285e_name @ SV24 )
= SV24 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[499]) ).
thf(648,plain,
! [SV25: pi] :
( ( ( perm_name_pi @ nil_Pr743626285e_name @ SV25 )
= SV25 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[500]) ).
thf(649,plain,
! [SV26: name] :
( ( ! [SY342: name,SY343: late_subject] :
( ( perm_n1559866809ubject @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV26 @ SY342 ) @ nil_Pr743626285e_name ) @ ( perm_n1559866809ubject @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SY342 @ SV26 ) @ nil_Pr743626285e_name ) @ SY343 ) )
= SY343 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[502]) ).
thf(650,plain,
! [SV27: name] :
( ( ! [SY344: name,SY345: late_freeRes] :
( ( perm_n336613537reeRes @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV27 @ SY344 ) @ nil_Pr743626285e_name ) @ ( perm_n336613537reeRes @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SY344 @ SV27 ) @ nil_Pr743626285e_name ) @ SY345 ) )
= SY345 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[503]) ).
thf(651,plain,
! [SV28: name] :
( ( ! [SY346: name,SY347: pi_Rep] :
( ( perm_name_pi_Rep @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV28 @ SY346 ) @ nil_Pr743626285e_name ) @ ( perm_name_pi_Rep @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SY346 @ SV28 ) @ nil_Pr743626285e_name ) @ SY347 ) )
= SY347 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[504]) ).
thf(652,plain,
! [SV29: name] :
( ( ! [SY348: name,SY349: name] :
( ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV29 @ SY348 ) @ nil_Pr743626285e_name ) @ ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SY348 @ SV29 ) @ nil_Pr743626285e_name ) @ SY349 ) )
= SY349 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[505]) ).
thf(653,plain,
! [SV30: name] :
( ( ! [SY350: name,SY351: pi] :
( ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV30 @ SY350 ) @ nil_Pr743626285e_name ) @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SY350 @ SV30 ) @ nil_Pr743626285e_name ) @ SY351 ) )
= SY351 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[506]) ).
thf(654,plain,
! [SV31: late_residual_Rep] :
( ( ( perm_n890803237al_Rep @ nil_Pr743626285e_name @ SV31 )
= SV31 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[511]) ).
thf(655,plain,
! [SV32: late_subject_Rep] :
( ( ( perm_n697952036ct_Rep @ nil_Pr743626285e_name @ SV32 )
= SV32 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[512]) ).
thf(656,plain,
! [SV33: late_freeRes_Rep] :
( ( ( perm_n1938283068es_Rep @ nil_Pr743626285e_name @ SV33 )
= SV33 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[513]) ).
thf(657,plain,
! [SV34: pi_Rep] :
( ( ( perm_name_pi_Rep @ nil_Pr743626285e_name @ SV34 )
= SV34 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[514]) ).
thf(658,plain,
! [SV35: list_P227219501e_name] :
( ( ! [SY352: late_freeRes,SY353: pi] :
( ( perm_n414416632sidual @ SV35 @ ( late_FreeR @ SY352 @ SY353 ) )
= ( late_FreeR @ ( perm_n336613537reeRes @ SV35 @ SY352 ) @ ( perm_name_pi @ SV35 @ SY353 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[515]) ).
thf(659,plain,
! [SV36: name] :
( ( ( perm_name_name @ nil_Pr743626285e_name @ SV36 )
= SV36 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[518]) ).
thf(660,plain,
! [SV37: name] :
( ( ! [SY354: name] :
( ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV37 @ SY354 ) @ nil_Pr743626285e_name ) @ SV37 )
= SY354 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[524]) ).
thf(661,plain,
! [SV38: name] :
( ( ! [SY355: name] :
( ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV38 @ SY355 ) @ nil_Pr743626285e_name ) @ SY355 )
= SV38 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[525]) ).
thf(662,plain,
! [SV39: list_P227219501e_name] :
( ( ! [SY356: list_P227219501e_name,SY357: pi] :
( ( perm_name_pi @ SV39 @ ( perm_name_pi @ SY356 @ SY357 ) )
= ( perm_name_pi @ ( perm_n1160739829e_name @ SV39 @ SY356 ) @ ( perm_name_pi @ SV39 @ SY357 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[528]) ).
thf(663,plain,
! [SV40: list_P227219501e_name] :
( ( ! [SY358: list_P227219501e_name,SY359: pi] :
( ( perm_name_pi @ SV40 @ ( perm_name_pi @ SY358 @ SY359 ) )
= ( perm_name_pi @ ( perm_n1160739829e_name @ SV40 @ SY358 ) @ ( perm_name_pi @ SV40 @ SY359 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[529]) ).
thf(664,plain,
! [SV41: list_P227219501e_name] :
( ( ! [SY360: list_P227219501e_name,SY361: pi] :
( ( perm_name_pi @ SV41 @ ( perm_name_pi @ SY360 @ SY361 ) )
= ( perm_name_pi @ ( perm_n1160739829e_name @ SV41 @ SY360 ) @ ( perm_name_pi @ SV41 @ SY361 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[530]) ).
thf(665,plain,
! [SV42: list_P227219501e_name] :
( ( ! [SY362: pi,SY363: pi] :
( ( ( perm_name_pi @ SV42 @ SY362 )
= ( perm_name_pi @ SV42 @ SY363 ) )
= ( SY362 = SY363 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[531]) ).
thf(666,plain,
! [SV43: list_P227219501e_name] :
( ( ! [SY364: pi,SY365: pi] :
( ( perm_name_o @ SV43 @ ( SY364 = SY365 ) )
= ( ( perm_name_pi @ SV43 @ SY364 )
= ( perm_name_pi @ SV43 @ SY365 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[532]) ).
thf(667,plain,
! [SV44: list_P227219501e_name] :
( ( ! [SY366: pi,SY367: pi] :
( ( perm_name_pi @ SV44 @ ( par @ SY366 @ SY367 ) )
= ( par @ ( perm_name_pi @ SV44 @ SY366 ) @ ( perm_name_pi @ SV44 @ SY367 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[563]) ).
thf(668,plain,
! [SV45: name] :
( ( ! [SY368: name,SY369: pi,SY370: late_freeRes,SY371: pi] :
~ ( late_transitions @ ( input @ SV45 @ SY368 @ SY369 ) @ ( late_FreeR @ SY370 @ SY371 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[567]) ).
thf(669,plain,
! [SV46: name] :
( ( ( name_prm_name @ nil_Pr743626285e_name @ SV46 )
= SV46 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[569]) ).
thf(670,plain,
! [SV47: $o] :
( ( ( SV47 = $true )
| ( SV47 = $false ) )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[570]) ).
thf(671,plain,
( ( ( $true = $true )
| ( $true = $false ) )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[570]) ).
thf(672,plain,
( ( ( $false = $true )
| ( $false = $false ) )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[570]) ).
thf(673,plain,
( ( late_transitions @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ z @ x ) @ nil_Pr743626285e_name ) @ q ) @ ( perm_n414416632sidual @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ z @ x ) @ nil_Pr743626285e_name ) @ ( late_FreeR @ ( late_OutputR @ aa @ x ) @ q_a ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[571]) ).
thf(674,plain,
( ( b = x )
= $false ),
inference(extcnf_not_pos,[status(thm)],[572]) ).
thf(675,plain,
! [SV48: name] :
( ( ! [SY372: name,SY373: name,SY374: name] :
( ( ( late_OutputR @ SV48 @ SY372 )
= ( late_OutputR @ SY373 @ SY374 ) )
= ( ~ ( ( SV48 != SY373 )
| ( SY372 != SY374 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[573]) ).
thf(676,plain,
( ( y = z )
= $false ),
inference(extcnf_not_pos,[status(thm)],[574]) ).
thf(677,plain,
( ( y = aa )
= $false ),
inference(extcnf_not_pos,[status(thm)],[575]) ).
thf(678,plain,
! [SV49: list_P227219501e_name > $o] :
( ( ~ ! [SY375: list_P227219501e_name] : ( SV49 @ SY375 )
| ( SV49 @ nil_Pr743626285e_name ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[576]) ).
thf(679,plain,
! [SV50: name] :
( ( ! [SY376: name,SY377: pi,SY378: name] :
( ~ ( ( SV50 != SY376 ) )
| ~ ( fresh_name_pi @ SY376 @ SY377 )
| ~ ( fresh_name_pi @ SV50 @ SY377 )
| ( fresh_name_pi @ SV50 @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SY376 @ SY378 ) @ nil_Pr743626285e_name ) @ SY377 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[577]) ).
thf(680,plain,
( ( z = x )
= $false ),
inference(extcnf_not_pos,[status(thm)],[578]) ).
thf(681,plain,
( ( y = x )
= $false ),
inference(extcnf_not_pos,[status(thm)],[579]) ).
thf(682,plain,
! [SV51: produc367475239e_name] :
( ( ~ ! [SY379: name,SY380: name] :
( SV51
!= ( produc1570949143e_name @ SY379 @ SY380 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[580]) ).
thf(683,plain,
! [SV52: produc890461031e_name] :
( ( ~ ! [SY381: list_P227219501e_name] :
( SV52
!= ( produc208131031e_name @ nil_Pr743626285e_name @ SY381 ) )
| ~ ! [SY382: list_P227219501e_name] :
( SV52
!= ( produc208131031e_name @ SY382 @ nil_Pr743626285e_name ) )
| ~ ! [SY383: produc367475239e_name,SY384: list_P227219501e_name,SY385: produc367475239e_name,SY386: list_P227219501e_name] :
( SV52
!= ( produc208131031e_name @ ( cons_P1213805021e_name @ SY383 @ SY384 ) @ ( cons_P1213805021e_name @ SY385 @ SY386 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[581]) ).
thf(684,plain,
! [SV53: produc890461031e_name] :
( ( ~ ! [SY387: list_P227219501e_name] :
( SV53
!= ( produc208131031e_name @ nil_Pr743626285e_name @ SY387 ) )
| ~ ! [SY388: produc367475239e_name,SY389: list_P227219501e_name,SY390: list_P227219501e_name] :
( SV53
!= ( produc208131031e_name @ ( cons_P1213805021e_name @ SY388 @ SY389 ) @ SY390 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[582]) ).
thf(685,plain,
! [SV54: late_freeRes > $o] :
( ( ! [SY391: late_freeRes] :
( ~ ! [SY392: name,SY393: name] : ( SV54 @ ( late_OutputR @ SY392 @ SY393 ) )
| ~ ( SV54 @ late_TauR )
| ( SV54 @ SY391 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[583]) ).
thf(686,plain,
! [SV55: produc367475239e_name > $o] :
( ( ! [SY394: produc367475239e_name] :
( ~ ! [SY395: name,SY396: name] : ( SV55 @ ( produc1570949143e_name @ SY395 @ SY396 ) )
| ( SV55 @ SY394 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[584]) ).
thf(687,plain,
! [SV56: late_subject] :
( ( ! [SY397: name,SY398: pi,SY399: late_freeRes,SY400: pi] :
( ( late_BoundR @ SV56 @ SY397 @ SY398 )
!= ( late_FreeR @ SY399 @ SY400 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[585]) ).
thf(688,plain,
! [SV57: late_freeRes] :
( ( ! [SY401: pi,SY402: late_freeRes,SY403: pi] :
( ( ( late_FreeR @ SV57 @ SY401 )
= ( late_FreeR @ SY402 @ SY403 ) )
= ( ~ ( ( SV57 != SY402 )
| ( SY401 != SY403 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[586]) ).
thf(689,plain,
! [SV58: late_residual > $o] :
( ( ! [SY404: late_residual] :
( ~ ! [SY405: late_subject,SY406: name,SY407: pi] : ( SV58 @ ( late_BoundR @ SY405 @ SY406 @ SY407 ) )
| ~ ! [SY408: late_freeRes,SY409: pi] : ( SV58 @ ( late_FreeR @ SY408 @ SY409 ) )
| ( SV58 @ SY404 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[587]) ).
thf(690,plain,
! [SV59: produc367475239e_name > $o] :
( ( ! [SY410: produc367475239e_name] :
( ~ ! [SY411: name,SY412: name] : ( SV59 @ ( produc1570949143e_name @ SY411 @ SY412 ) )
| ( SV59 @ SY410 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[588]) ).
thf(691,plain,
! [SV60: name] :
( ( ! [SY413: pi,SY414: name] :
( ~ ( fresh_name_pi @ SV60 @ SY413 )
| ~ ( fresh_name_pi @ SY414 @ SY413 )
| ( ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV60 @ SY414 ) @ nil_Pr743626285e_name ) @ SY413 )
= SY413 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[589]) ).
thf(692,plain,
! [SV61: produc367475239e_name] :
( ( ! [SY415: list_P227219501e_name] :
( nil_Pr743626285e_name
!= ( cons_P1213805021e_name @ SV61 @ SY415 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[590]) ).
thf(693,plain,
! [SV62: pi] :
( ( ! [SY416: late_residual,SY417: list_P227219501e_name] :
( ~ ( late_transitions @ SV62 @ SY416 )
| ( late_transitions @ ( perm_name_pi @ SY417 @ SV62 ) @ ( perm_n414416632sidual @ SY417 @ SY416 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[591]) ).
thf(694,plain,
! [SV63: name] :
( ( ! [SY418: name,SY419: name,SY420: name] :
( ( ( late_OutputR @ SV63 @ SY418 )
= ( late_OutputR @ SY419 @ SY420 ) )
= ( ~ ( ( SV63 != SY419 )
| ( SY418 != SY420 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[592]) ).
thf(695,plain,
( ( z = aa )
= $false ),
inference(extcnf_not_pos,[status(thm)],[593]) ).
thf(696,plain,
! [SV64: produc1872410278e_name] :
( ( ~ ! [SY421: produc367475239e_name > produc367475239e_name > $o] :
( SV64
!= ( produc1069608854e_name @ SY421 @ nil_Pr743626285e_name ) )
| ~ ! [SY422: produc367475239e_name > produc367475239e_name > $o,SY423: produc367475239e_name] :
( SV64
!= ( produc1069608854e_name @ SY422 @ ( cons_P1213805021e_name @ SY423 @ nil_Pr743626285e_name ) ) )
| ~ ! [SY424: produc367475239e_name > produc367475239e_name > $o,SY425: produc367475239e_name,SY426: produc367475239e_name,SY427: list_P227219501e_name] :
( SV64
!= ( produc1069608854e_name @ SY424 @ ( cons_P1213805021e_name @ SY425 @ ( cons_P1213805021e_name @ SY426 @ SY427 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[594]) ).
thf(697,plain,
! [SV65: produc1872410278e_name] :
( ( ~ ! [SY428: produc367475239e_name > produc367475239e_name > $o] :
( SV65
!= ( produc1069608854e_name @ SY428 @ nil_Pr743626285e_name ) )
| ~ ! [SY429: produc367475239e_name > produc367475239e_name > $o,SY430: produc367475239e_name,SY431: list_P227219501e_name] :
( SV65
!= ( produc1069608854e_name @ SY429 @ ( cons_P1213805021e_name @ SY430 @ SY431 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[595]) ).
thf(698,plain,
! [SV66: list_P227219501e_name > $o] :
( ( ! [SY432: list_P227219501e_name] :
( ~ ( SV66 @ nil_Pr743626285e_name )
| ~ ! [SY433: produc367475239e_name,SY434: list_P227219501e_name] :
( ~ ( SV66 @ SY434 )
| ( SV66 @ ( cons_P1213805021e_name @ SY433 @ SY434 ) ) )
| ( SV66 @ SY432 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[596]) ).
thf(699,plain,
! [SV67: late_freeRes] :
( ( ~ ! [SY435: name,SY436: name] :
( SV67
!= ( late_OutputR @ SY435 @ SY436 ) )
| ( SV67 = late_TauR ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[597]) ).
thf(700,plain,
! [SV68: produc367475239e_name] :
( ( ! [SY437: list_P227219501e_name] :
( ( cons_P1213805021e_name @ SV68 @ SY437 )
!= SY437 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[598]) ).
thf(701,plain,
! [SV69: list_P227219501e_name > list_P227219501e_name > $o] :
( ( ! [SY438: list_P227219501e_name,SY439: list_P227219501e_name] :
( ~ ( SV69 @ nil_Pr743626285e_name @ nil_Pr743626285e_name )
| ~ ! [SY440: produc367475239e_name,SY441: list_P227219501e_name] : ( SV69 @ ( cons_P1213805021e_name @ SY440 @ SY441 ) @ nil_Pr743626285e_name )
| ~ ! [SY442: produc367475239e_name,SY443: list_P227219501e_name] : ( SV69 @ nil_Pr743626285e_name @ ( cons_P1213805021e_name @ SY442 @ SY443 ) )
| ~ ! [SY444: produc367475239e_name,SY445: list_P227219501e_name,SY446: produc367475239e_name,SY447: list_P227219501e_name] :
( ~ ( SV69 @ SY445 @ SY447 )
| ( SV69 @ ( cons_P1213805021e_name @ SY444 @ SY445 ) @ ( cons_P1213805021e_name @ SY446 @ SY447 ) ) )
| ( SV69 @ SY438 @ SY439 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[599]) ).
thf(702,plain,
! [SV70: name] :
( ( ! [SY448: pi,SY449: name] :
( ~ ( fresh_name_pi @ SV70 @ SY448 )
| ~ ( fresh_name_pi @ SY449 @ SY448 )
| ( ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV70 @ SY449 ) @ nil_Pr743626285e_name ) @ SY448 )
= SY448 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[600]) ).
thf(703,plain,
! [SV71: name] :
( ( ! [SY450: name,SY451: name,SY452: name] :
( ( ( produc1570949143e_name @ SV71 @ SY450 )
= ( produc1570949143e_name @ SY451 @ SY452 ) )
= ( ~ ( ( SV71 != SY451 )
| ( SY450 != SY452 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[601]) ).
thf(704,plain,
! [SV72: name] :
( ( ! [SY453: name,SY454: name] :
~ ( ~ ( ( SV72 != SY453 )
| ( ( swap_name2 @ ( produc1570949143e_name @ SV72 @ SY454 ) @ SY453 )
= SY454 ) )
| ~ ( ~ ( ( SV72 != SY453 ) )
| ~ ( ~ ( ( SY454 != SY453 )
| ( ( swap_name2 @ ( produc1570949143e_name @ SV72 @ SY454 ) @ SY453 )
= SV72 ) )
| ~ ( ~ ( ( SY454 != SY453 ) )
| ( ( swap_name2 @ ( produc1570949143e_name @ SV72 @ SY454 ) @ SY453 )
= SY453 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[602]) ).
thf(705,plain,
! [SV73: name] :
( ( ! [SY455: name,SY456: name] :
( ~ ( ( SV73 != SY455 ) )
| ~ ( ( SY456 != SY455 ) )
| ( ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV73 @ SY456 ) @ nil_Pr743626285e_name ) @ SY455 )
= SY455 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[603]) ).
thf(706,plain,
! [SV74: name] :
( ( ! [SY457: name,SY458: name,SY459: name] :
( ( ( produc1570949143e_name @ SV74 @ SY457 )
!= ( produc1570949143e_name @ SY458 @ SY459 ) )
| ~ ( ( SV74 != SY458 )
| ( SY457 != SY459 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[604]) ).
thf(707,plain,
! [SV75: list_P227219501e_name] :
( ( ~ ( ( SV75 != nil_Pr743626285e_name ) )
| ~ ! [SY460: produc367475239e_name] :
( SV75
!= ( cons_P1213805021e_name @ SY460 @ nil_Pr743626285e_name ) )
| ~ ! [SY461: produc367475239e_name,SY462: produc367475239e_name,SY463: list_P227219501e_name] :
( SV75
!= ( cons_P1213805021e_name @ SY461 @ ( cons_P1213805021e_name @ SY462 @ SY463 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[605]) ).
thf(708,plain,
! [SV76: list_P227219501e_name] :
( ( ! [SY464: produc367475239e_name,SY465: list_P227219501e_name] :
( ( SV76
!= ( cons_P1213805021e_name @ SY464 @ SY465 ) )
| ( SV76 != nil_Pr743626285e_name ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[606]) ).
thf(709,plain,
! [SV77: list_P227219501e_name > list_P227219501e_name > $o] :
( ( ! [SY466: list_P227219501e_name,SY467: list_P227219501e_name] :
( ~ ! [SY468: list_P227219501e_name] : ( SV77 @ nil_Pr743626285e_name @ SY468 )
| ~ ! [SY469: list_P227219501e_name] : ( SV77 @ SY469 @ nil_Pr743626285e_name )
| ~ ! [SY470: produc367475239e_name,SY471: list_P227219501e_name,SY472: produc367475239e_name,SY473: list_P227219501e_name] :
( ~ ( SV77 @ SY471 @ ( cons_P1213805021e_name @ SY472 @ SY473 ) )
| ~ ( SV77 @ ( cons_P1213805021e_name @ SY470 @ SY471 ) @ SY473 )
| ( SV77 @ ( cons_P1213805021e_name @ SY470 @ SY471 ) @ ( cons_P1213805021e_name @ SY472 @ SY473 ) ) )
| ( SV77 @ SY466 @ SY467 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[607]) ).
thf(710,plain,
! [SV78: pi] :
( ( ! [SY474: late_freeRes,SY475: pi,SY476: name] :
( ~ ( late_transitions @ SV78 @ ( late_FreeR @ SY474 @ SY475 ) )
| ~ ( fresh_name_pi @ SY476 @ SV78 )
| ( fresh_name_pi @ SY476 @ SY475 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[608]) ).
thf(711,plain,
! [SV79: name] :
( ( ! [SY477: name,SY478: name] :
~ ( ~ ( ( SV79 != SY477 )
| ( ( swap_name @ ( produc1570949143e_name @ SV79 @ SY478 ) @ SY477 )
= SY478 ) )
| ~ ( ~ ( ( SV79 != SY477 ) )
| ~ ( ~ ( ( SY478 != SY477 )
| ( ( swap_name @ ( produc1570949143e_name @ SV79 @ SY478 ) @ SY477 )
= SV79 ) )
| ~ ( ~ ( ( SY478 != SY477 ) )
| ( ( swap_name @ ( produc1570949143e_name @ SV79 @ SY478 ) @ SY477 )
= SY477 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[609]) ).
thf(712,plain,
! [SV80: list_P227219501e_name > list_P227219501e_name > $o] :
( ( ! [SY479: list_P227219501e_name,SY480: list_P227219501e_name] :
( ~ ! [SY481: list_P227219501e_name] : ( SV80 @ nil_Pr743626285e_name @ SY481 )
| ~ ! [SY482: produc367475239e_name,SY483: list_P227219501e_name,SY484: list_P227219501e_name] :
( ~ ( SV80 @ SY484 @ SY483 )
| ( SV80 @ ( cons_P1213805021e_name @ SY482 @ SY483 ) @ SY484 ) )
| ( SV80 @ SY479 @ SY480 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[610]) ).
thf(713,plain,
! [SV81: name] :
( ( ! [SY485: name] :
( ( late_OutputR @ SV81 @ SY485 )
!= late_TauR ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[611]) ).
thf(714,plain,
! [SV82: name] :
( ( ! [SY486: name,SY487: name,SY488: name] :
( ( ( produc1570949143e_name @ SV82 @ SY486 )
= ( produc1570949143e_name @ SY487 @ SY488 ) )
= ( ~ ( ( SV82 != SY487 )
| ( SY486 != SY488 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[612]) ).
thf(715,plain,
! [SV83: produc367475239e_name] :
( ( ~ ! [SY489: name] :
~ ~ ! [SY490: name] :
( SV83
!= ( produc1570949143e_name @ SY489 @ SY490 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[613]) ).
thf(716,plain,
! [SV84: list_P227219501e_name] :
( ( ( SV84 != nil_Pr743626285e_name )
= ( ~ ! [SY491: produc367475239e_name] :
~ ~ ! [SY492: list_P227219501e_name] :
( SV84
!= ( cons_P1213805021e_name @ SY491 @ SY492 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[614]) ).
thf(717,plain,
! [SV85: list_P227219501e_name] :
( ( ~ ( ( SV85 != nil_Pr743626285e_name ) )
| ~ ! [SY493: produc367475239e_name,SY494: list_P227219501e_name] :
( SV85
!= ( cons_P1213805021e_name @ SY493 @ SY494 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[615]) ).
thf(718,plain,
! [SV86: produc367475239e_name] :
( ( ! [SY495: list_P227219501e_name,SY496: produc367475239e_name,SY497: list_P227219501e_name] :
( ( ( cons_P1213805021e_name @ SV86 @ SY495 )
= ( cons_P1213805021e_name @ SY496 @ SY497 ) )
= ( ~ ( ( SV86 != SY496 )
| ( SY495 != SY497 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[616]) ).
thf(719,plain,
! [SV87: $o] :
( ( ! [SY498: list_P227219501e_name,SY499: pi,SY500: pi] :
~ ( ~ ( ~ SV87
| ( ( perm_name_pi @ SY498 @ ( if_pi @ SV87 @ SY499 @ SY500 ) )
= ( perm_name_pi @ SY498 @ SY499 ) ) )
| ~ ( ~ ~ SV87
| ( ( perm_name_pi @ SY498 @ ( if_pi @ SV87 @ SY499 @ SY500 ) )
= ( perm_name_pi @ SY498 @ SY500 ) ) ) ) )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[617]) ).
thf(720,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)],[617]) ).
thf(721,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)],[617]) ).
thf(722,plain,
! [SV88: pi] :
( ( ! [SY501: late_freeRes,SY502: pi,SY503: pi] :
( ~ ( late_transitions @ SV88 @ ( late_FreeR @ SY501 @ SY502 ) )
| ( late_transitions @ ( par @ SV88 @ SY503 ) @ ( late_FreeR @ SY501 @ ( par @ SY502 @ SY503 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[618]) ).
thf(723,plain,
! [SV89: pi] :
( ( ! [SY504: late_freeRes,SY505: pi,SY506: pi] :
( ~ ( late_transitions @ SV89 @ ( late_FreeR @ SY504 @ SY505 ) )
| ( late_transitions @ ( par @ SY506 @ SV89 ) @ ( late_FreeR @ SY504 @ ( par @ SY506 @ SY505 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[619]) ).
thf(724,plain,
! [SV90: ( produc367475239e_name > produc367475239e_name > $o ) > list_P227219501e_name > $o] :
( ( ! [SY507: produc367475239e_name > produc367475239e_name > $o,SY508: list_P227219501e_name] :
( ~ ! [SY509: produc367475239e_name > produc367475239e_name > $o] : ( SV90 @ SY509 @ nil_Pr743626285e_name )
| ~ ! [SY510: produc367475239e_name > produc367475239e_name > $o,SY511: produc367475239e_name,SY512: list_P227219501e_name] :
( ~ ( SV90 @ SY510 @ SY512 )
| ( SV90 @ SY510 @ ( cons_P1213805021e_name @ SY511 @ SY512 ) ) )
| ( SV90 @ SY507 @ SY508 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[620]) ).
thf(725,plain,
! [SV91: pi] :
( ( ! [SY513: pi,SY514: list_P227219501e_name] :
( ( SV91 != SY513 )
| ( ( perm_name_pi @ SY514 @ SV91 )
= ( perm_name_pi @ SY514 @ SY513 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[621]) ).
thf(726,plain,
! [SV92: name] :
( ( ! [SY515: name] :
( ( late_OutputR @ SV92 @ SY515 )
!= late_TauR ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[622]) ).
thf(727,plain,
! [SV93: list_P227219501e_name > $o] :
( ( ! [SY516: list_P227219501e_name] :
( ~ ( SV93 @ nil_Pr743626285e_name )
| ~ ! [SY517: produc367475239e_name] : ( SV93 @ ( cons_P1213805021e_name @ SY517 @ nil_Pr743626285e_name ) )
| ~ ! [SY518: produc367475239e_name,SY519: produc367475239e_name,SY520: list_P227219501e_name] :
( ~ ( SV93 @ SY520 )
| ~ ( SV93 @ ( cons_P1213805021e_name @ SY519 @ SY520 ) )
| ( SV93 @ ( cons_P1213805021e_name @ SY518 @ ( cons_P1213805021e_name @ SY519 @ SY520 ) ) ) )
| ( SV93 @ SY516 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[623]) ).
thf(728,plain,
! [SV94: name,SV1: name] :
( ( ! [SY521: late_subject] :
( ( perm_n1559866809ubject @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV1 @ SV94 ) @ nil_Pr743626285e_name ) @ ( perm_n1559866809ubject @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV1 @ SV94 ) @ nil_Pr743626285e_name ) @ SY521 ) )
= SY521 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[624]) ).
thf(729,plain,
! [SV95: name,SV2: name] :
( ( ! [SY522: late_freeRes] :
( ( perm_n336613537reeRes @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV2 @ SV95 ) @ nil_Pr743626285e_name ) @ ( perm_n336613537reeRes @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV2 @ SV95 ) @ nil_Pr743626285e_name ) @ SY522 ) )
= SY522 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[625]) ).
thf(730,plain,
! [SV96: name,SV3: name] :
( ( ! [SY523: pi_Rep] :
( ( perm_name_pi_Rep @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV3 @ SV96 ) @ nil_Pr743626285e_name ) @ ( perm_name_pi_Rep @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV3 @ SV96 ) @ nil_Pr743626285e_name ) @ SY523 ) )
= SY523 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[626]) ).
thf(731,plain,
! [SV97: name,SV4: name] :
( ( ! [SY524: name] :
( ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV4 @ SV97 ) @ nil_Pr743626285e_name ) @ ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV4 @ SV97 ) @ nil_Pr743626285e_name ) @ SY524 ) )
= SY524 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[627]) ).
thf(732,plain,
! [SV98: name,SV5: name] :
( ( ! [SY525: pi] :
( ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV5 @ SV98 ) @ nil_Pr743626285e_name ) @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV5 @ SV98 ) @ nil_Pr743626285e_name ) @ SY525 ) )
= SY525 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[628]) ).
thf(733,plain,
! [SV99: late_subject,SV6: name] :
( ( ( perm_n1559866809ubject @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV6 @ SV6 ) @ nil_Pr743626285e_name ) @ SV99 )
= SV99 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[629]) ).
thf(734,plain,
! [SV100: late_freeRes,SV7: name] :
( ( ( perm_n336613537reeRes @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV7 @ SV7 ) @ nil_Pr743626285e_name ) @ SV100 )
= SV100 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[630]) ).
thf(735,plain,
! [SV101: pi_Rep,SV8: name] :
( ( ( perm_name_pi_Rep @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV8 @ SV8 ) @ nil_Pr743626285e_name ) @ SV101 )
= SV101 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[631]) ).
thf(736,plain,
! [SV102: name,SV9: name] :
( ( ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV9 @ SV9 ) @ nil_Pr743626285e_name ) @ SV102 )
= SV102 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[632]) ).
thf(737,plain,
! [SV103: pi,SV10: name] :
( ( ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV10 @ SV10 ) @ nil_Pr743626285e_name ) @ SV103 )
= SV103 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[633]) ).
thf(738,plain,
! [SV104: name,SV11: name] :
( ( ! [SY526: late_subject] :
( ( perm_n1559866809ubject @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV11 @ SV104 ) @ nil_Pr743626285e_name ) @ SY526 )
= ( perm_n1559866809ubject @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV104 @ SV11 ) @ nil_Pr743626285e_name ) @ SY526 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[634]) ).
thf(739,plain,
! [SV105: name,SV12: name] :
( ( ! [SY527: late_freeRes] :
( ( perm_n336613537reeRes @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV12 @ SV105 ) @ nil_Pr743626285e_name ) @ SY527 )
= ( perm_n336613537reeRes @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV105 @ SV12 ) @ nil_Pr743626285e_name ) @ SY527 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[635]) ).
thf(740,plain,
! [SV106: name,SV13: name] :
( ( ! [SY528: pi_Rep] :
( ( perm_name_pi_Rep @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV13 @ SV106 ) @ nil_Pr743626285e_name ) @ SY528 )
= ( perm_name_pi_Rep @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV106 @ SV13 ) @ nil_Pr743626285e_name ) @ SY528 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[636]) ).
thf(741,plain,
! [SV107: name,SV14: name] :
( ( ! [SY529: name] :
( ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV14 @ SV107 ) @ nil_Pr743626285e_name ) @ SY529 )
= ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV107 @ SV14 ) @ nil_Pr743626285e_name ) @ SY529 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[637]) ).
thf(742,plain,
! [SV108: name,SV15: name] :
( ( ! [SY530: pi] :
( ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV15 @ SV108 ) @ nil_Pr743626285e_name ) @ SY530 )
= ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV108 @ SV15 ) @ nil_Pr743626285e_name ) @ SY530 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[638]) ).
thf(743,plain,
! [SV109: name,SV16: name] :
( ( ! [SY531: late_subject] :
( ( perm_n1559866809ubject @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV16 @ SV109 ) @ nil_Pr743626285e_name ) @ ( perm_n1559866809ubject @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV16 @ SV109 ) @ nil_Pr743626285e_name ) @ SY531 ) )
= SY531 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[639]) ).
thf(744,plain,
! [SV110: name,SV17: name] :
( ( ! [SY532: late_freeRes] :
( ( perm_n336613537reeRes @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV17 @ SV110 ) @ nil_Pr743626285e_name ) @ ( perm_n336613537reeRes @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV17 @ SV110 ) @ nil_Pr743626285e_name ) @ SY532 ) )
= SY532 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[640]) ).
thf(745,plain,
! [SV111: name,SV18: name] :
( ( ! [SY533: pi_Rep] :
( ( perm_name_pi_Rep @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV18 @ SV111 ) @ nil_Pr743626285e_name ) @ ( perm_name_pi_Rep @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV18 @ SV111 ) @ nil_Pr743626285e_name ) @ SY533 ) )
= SY533 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[641]) ).
thf(746,plain,
! [SV112: name,SV19: name] :
( ( ! [SY534: name] :
( ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV19 @ SV112 ) @ nil_Pr743626285e_name ) @ ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV19 @ SV112 ) @ nil_Pr743626285e_name ) @ SY534 ) )
= SY534 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[642]) ).
thf(747,plain,
! [SV113: name,SV20: name] :
( ( ! [SY535: pi] :
( ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV20 @ SV113 ) @ nil_Pr743626285e_name ) @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV20 @ SV113 ) @ nil_Pr743626285e_name ) @ SY535 ) )
= SY535 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[643]) ).
thf(748,plain,
! [SV114: name,SV26: name] :
( ( ! [SY536: late_subject] :
( ( perm_n1559866809ubject @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV26 @ SV114 ) @ nil_Pr743626285e_name ) @ ( perm_n1559866809ubject @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV114 @ SV26 ) @ nil_Pr743626285e_name ) @ SY536 ) )
= SY536 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[649]) ).
thf(749,plain,
! [SV115: name,SV27: name] :
( ( ! [SY537: late_freeRes] :
( ( perm_n336613537reeRes @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV27 @ SV115 ) @ nil_Pr743626285e_name ) @ ( perm_n336613537reeRes @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV115 @ SV27 ) @ nil_Pr743626285e_name ) @ SY537 ) )
= SY537 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[650]) ).
thf(750,plain,
! [SV116: name,SV28: name] :
( ( ! [SY538: pi_Rep] :
( ( perm_name_pi_Rep @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV28 @ SV116 ) @ nil_Pr743626285e_name ) @ ( perm_name_pi_Rep @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV116 @ SV28 ) @ nil_Pr743626285e_name ) @ SY538 ) )
= SY538 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[651]) ).
thf(751,plain,
! [SV117: name,SV29: name] :
( ( ! [SY539: name] :
( ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV29 @ SV117 ) @ nil_Pr743626285e_name ) @ ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV117 @ SV29 ) @ nil_Pr743626285e_name ) @ SY539 ) )
= SY539 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[652]) ).
thf(752,plain,
! [SV118: name,SV30: name] :
( ( ! [SY540: pi] :
( ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV30 @ SV118 ) @ nil_Pr743626285e_name ) @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV118 @ SV30 ) @ nil_Pr743626285e_name ) @ SY540 ) )
= SY540 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[653]) ).
thf(753,plain,
! [SV119: late_freeRes,SV35: list_P227219501e_name] :
( ( ! [SY541: pi] :
( ( perm_n414416632sidual @ SV35 @ ( late_FreeR @ SV119 @ SY541 ) )
= ( late_FreeR @ ( perm_n336613537reeRes @ SV35 @ SV119 ) @ ( perm_name_pi @ SV35 @ SY541 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[658]) ).
thf(754,plain,
! [SV120: name,SV37: name] :
( ( ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV37 @ SV120 ) @ nil_Pr743626285e_name ) @ SV37 )
= SV120 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[660]) ).
thf(755,plain,
! [SV121: name,SV38: name] :
( ( ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV38 @ SV121 ) @ nil_Pr743626285e_name ) @ SV121 )
= SV38 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[661]) ).
thf(756,plain,
! [SV122: list_P227219501e_name,SV39: list_P227219501e_name] :
( ( ! [SY542: pi] :
( ( perm_name_pi @ SV39 @ ( perm_name_pi @ SV122 @ SY542 ) )
= ( perm_name_pi @ ( perm_n1160739829e_name @ SV39 @ SV122 ) @ ( perm_name_pi @ SV39 @ SY542 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[662]) ).
thf(757,plain,
! [SV123: list_P227219501e_name,SV40: list_P227219501e_name] :
( ( ! [SY543: pi] :
( ( perm_name_pi @ SV40 @ ( perm_name_pi @ SV123 @ SY543 ) )
= ( perm_name_pi @ ( perm_n1160739829e_name @ SV40 @ SV123 ) @ ( perm_name_pi @ SV40 @ SY543 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[663]) ).
thf(758,plain,
! [SV124: list_P227219501e_name,SV41: list_P227219501e_name] :
( ( ! [SY544: pi] :
( ( perm_name_pi @ SV41 @ ( perm_name_pi @ SV124 @ SY544 ) )
= ( perm_name_pi @ ( perm_n1160739829e_name @ SV41 @ SV124 ) @ ( perm_name_pi @ SV41 @ SY544 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[664]) ).
thf(759,plain,
! [SV125: pi,SV42: list_P227219501e_name] :
( ( ! [SY545: pi] :
( ( ( perm_name_pi @ SV42 @ SV125 )
= ( perm_name_pi @ SV42 @ SY545 ) )
= ( SV125 = SY545 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[665]) ).
thf(760,plain,
! [SV126: pi,SV43: list_P227219501e_name] :
( ( ! [SY546: pi] :
( ( perm_name_o @ SV43 @ ( SV126 = SY546 ) )
= ( ( perm_name_pi @ SV43 @ SV126 )
= ( perm_name_pi @ SV43 @ SY546 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[666]) ).
thf(761,plain,
! [SV127: pi,SV44: list_P227219501e_name] :
( ( ! [SY547: pi] :
( ( perm_name_pi @ SV44 @ ( par @ SV127 @ SY547 ) )
= ( par @ ( perm_name_pi @ SV44 @ SV127 ) @ ( perm_name_pi @ SV44 @ SY547 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[667]) ).
thf(762,plain,
! [SV128: name,SV45: name] :
( ( ! [SY548: pi,SY549: late_freeRes,SY550: pi] :
~ ( late_transitions @ ( input @ SV45 @ SV128 @ SY548 ) @ ( late_FreeR @ SY549 @ SY550 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[668]) ).
thf(763,plain,
! [SV47: $o] :
( ( ( SV47 = $true )
= $true )
| ( ( SV47 = $false )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[670]) ).
thf(764,plain,
( ( ( $true = $true )
= $true )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[671]) ).
thf(765,plain,
( ( ( $false = $true )
= $true )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[672]) ).
thf(766,plain,
! [SV129: name,SV48: name] :
( ( ! [SY551: name,SY552: name] :
( ( ( late_OutputR @ SV48 @ SV129 )
= ( late_OutputR @ SY551 @ SY552 ) )
= ( ~ ( ( SV48 != SY551 )
| ( SV129 != SY552 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[675]) ).
thf(767,plain,
! [SV49: list_P227219501e_name > $o] :
( ( ( ~ ! [SY375: list_P227219501e_name] : ( SV49 @ SY375 ) )
= $true )
| ( ( SV49 @ nil_Pr743626285e_name )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[678]) ).
thf(768,plain,
! [SV130: name,SV50: name] :
( ( ! [SY553: pi,SY554: name] :
( ~ ( ( SV50 != SV130 ) )
| ~ ( fresh_name_pi @ SV130 @ SY553 )
| ~ ( fresh_name_pi @ SV50 @ SY553 )
| ( fresh_name_pi @ SV50 @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV130 @ SY554 ) @ nil_Pr743626285e_name ) @ SY553 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[679]) ).
thf(769,plain,
! [SV51: produc367475239e_name] :
( ( ! [SY379: name,SY380: name] :
( SV51
!= ( produc1570949143e_name @ SY379 @ SY380 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[682]) ).
thf(770,plain,
! [SV52: produc890461031e_name] :
( ( ( ~ ! [SY381: list_P227219501e_name] :
( SV52
!= ( produc208131031e_name @ nil_Pr743626285e_name @ SY381 ) ) )
= $true )
| ( ( ~ ! [SY382: list_P227219501e_name] :
( SV52
!= ( produc208131031e_name @ SY382 @ nil_Pr743626285e_name ) )
| ~ ! [SY383: produc367475239e_name,SY384: list_P227219501e_name,SY385: produc367475239e_name,SY386: list_P227219501e_name] :
( SV52
!= ( produc208131031e_name @ ( cons_P1213805021e_name @ SY383 @ SY384 ) @ ( cons_P1213805021e_name @ SY385 @ SY386 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[683]) ).
thf(771,plain,
! [SV53: produc890461031e_name] :
( ( ( ~ ! [SY387: list_P227219501e_name] :
( SV53
!= ( produc208131031e_name @ nil_Pr743626285e_name @ SY387 ) ) )
= $true )
| ( ( ~ ! [SY388: produc367475239e_name,SY389: list_P227219501e_name,SY390: list_P227219501e_name] :
( SV53
!= ( produc208131031e_name @ ( cons_P1213805021e_name @ SY388 @ SY389 ) @ SY390 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[684]) ).
thf(772,plain,
! [SV131: late_freeRes,SV54: late_freeRes > $o] :
( ( ~ ! [SY392: name,SY393: name] : ( SV54 @ ( late_OutputR @ SY392 @ SY393 ) )
| ~ ( SV54 @ late_TauR )
| ( SV54 @ SV131 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[685]) ).
thf(773,plain,
! [SV132: produc367475239e_name,SV55: produc367475239e_name > $o] :
( ( ~ ! [SY395: name,SY396: name] : ( SV55 @ ( produc1570949143e_name @ SY395 @ SY396 ) )
| ( SV55 @ SV132 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[686]) ).
thf(774,plain,
! [SV133: name,SV56: late_subject] :
( ( ! [SY559: pi,SY560: late_freeRes,SY561: pi] :
( ( late_BoundR @ SV56 @ SV133 @ SY559 )
!= ( late_FreeR @ SY560 @ SY561 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[687]) ).
thf(775,plain,
! [SV134: pi,SV57: late_freeRes] :
( ( ! [SY562: late_freeRes,SY563: pi] :
( ( ( late_FreeR @ SV57 @ SV134 )
= ( late_FreeR @ SY562 @ SY563 ) )
= ( ~ ( ( SV57 != SY562 )
| ( SV134 != SY563 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[688]) ).
thf(776,plain,
! [SV135: late_residual,SV58: late_residual > $o] :
( ( ~ ! [SY405: late_subject,SY406: name,SY407: pi] : ( SV58 @ ( late_BoundR @ SY405 @ SY406 @ SY407 ) )
| ~ ! [SY408: late_freeRes,SY409: pi] : ( SV58 @ ( late_FreeR @ SY408 @ SY409 ) )
| ( SV58 @ SV135 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[689]) ).
thf(777,plain,
! [SV136: produc367475239e_name,SV59: produc367475239e_name > $o] :
( ( ~ ! [SY411: name,SY412: name] : ( SV59 @ ( produc1570949143e_name @ SY411 @ SY412 ) )
| ( SV59 @ SV136 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[690]) ).
thf(778,plain,
! [SV137: pi,SV60: name] :
( ( ! [SY571: name] :
( ~ ( fresh_name_pi @ SV60 @ SV137 )
| ~ ( fresh_name_pi @ SY571 @ SV137 )
| ( ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV60 @ SY571 ) @ nil_Pr743626285e_name ) @ SV137 )
= SV137 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[691]) ).
thf(779,plain,
! [SV138: list_P227219501e_name,SV61: produc367475239e_name] :
( ( nil_Pr743626285e_name
!= ( cons_P1213805021e_name @ SV61 @ SV138 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[692]) ).
thf(780,plain,
! [SV139: late_residual,SV62: pi] :
( ( ! [SY572: list_P227219501e_name] :
( ~ ( late_transitions @ SV62 @ SV139 )
| ( late_transitions @ ( perm_name_pi @ SY572 @ SV62 ) @ ( perm_n414416632sidual @ SY572 @ SV139 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[693]) ).
thf(781,plain,
! [SV140: name,SV63: name] :
( ( ! [SY573: name,SY574: name] :
( ( ( late_OutputR @ SV63 @ SV140 )
= ( late_OutputR @ SY573 @ SY574 ) )
= ( ~ ( ( SV63 != SY573 )
| ( SV140 != SY574 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[694]) ).
thf(782,plain,
! [SV64: produc1872410278e_name] :
( ( ( ~ ! [SY421: produc367475239e_name > produc367475239e_name > $o] :
( SV64
!= ( produc1069608854e_name @ SY421 @ nil_Pr743626285e_name ) ) )
= $true )
| ( ( ~ ! [SY422: produc367475239e_name > produc367475239e_name > $o,SY423: produc367475239e_name] :
( SV64
!= ( produc1069608854e_name @ SY422 @ ( cons_P1213805021e_name @ SY423 @ nil_Pr743626285e_name ) ) )
| ~ ! [SY424: produc367475239e_name > produc367475239e_name > $o,SY425: produc367475239e_name,SY426: produc367475239e_name,SY427: list_P227219501e_name] :
( SV64
!= ( produc1069608854e_name @ SY424 @ ( cons_P1213805021e_name @ SY425 @ ( cons_P1213805021e_name @ SY426 @ SY427 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[696]) ).
thf(783,plain,
! [SV65: produc1872410278e_name] :
( ( ( ~ ! [SY428: produc367475239e_name > produc367475239e_name > $o] :
( SV65
!= ( produc1069608854e_name @ SY428 @ nil_Pr743626285e_name ) ) )
= $true )
| ( ( ~ ! [SY429: produc367475239e_name > produc367475239e_name > $o,SY430: produc367475239e_name,SY431: list_P227219501e_name] :
( SV65
!= ( produc1069608854e_name @ SY429 @ ( cons_P1213805021e_name @ SY430 @ SY431 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[697]) ).
thf(784,plain,
! [SV141: list_P227219501e_name,SV66: list_P227219501e_name > $o] :
( ( ~ ( SV66 @ nil_Pr743626285e_name )
| ~ ! [SY433: produc367475239e_name,SY434: list_P227219501e_name] :
( ~ ( SV66 @ SY434 )
| ( SV66 @ ( cons_P1213805021e_name @ SY433 @ SY434 ) ) )
| ( SV66 @ SV141 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[698]) ).
thf(785,plain,
! [SV67: late_freeRes] :
( ( ( ~ ! [SY435: name,SY436: name] :
( SV67
!= ( late_OutputR @ SY435 @ SY436 ) ) )
= $true )
| ( ( SV67 = late_TauR )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[699]) ).
thf(786,plain,
! [SV142: list_P227219501e_name,SV68: produc367475239e_name] :
( ( ( cons_P1213805021e_name @ SV68 @ SV142 )
!= SV142 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[700]) ).
thf(787,plain,
! [SV143: list_P227219501e_name,SV69: list_P227219501e_name > list_P227219501e_name > $o] :
( ( ! [SY577: list_P227219501e_name] :
( ~ ( SV69 @ nil_Pr743626285e_name @ nil_Pr743626285e_name )
| ~ ! [SY440: produc367475239e_name,SY441: list_P227219501e_name] : ( SV69 @ ( cons_P1213805021e_name @ SY440 @ SY441 ) @ nil_Pr743626285e_name )
| ~ ! [SY442: produc367475239e_name,SY443: list_P227219501e_name] : ( SV69 @ nil_Pr743626285e_name @ ( cons_P1213805021e_name @ SY442 @ SY443 ) )
| ~ ! [SY444: produc367475239e_name,SY445: list_P227219501e_name,SY446: produc367475239e_name,SY447: list_P227219501e_name] :
( ~ ( SV69 @ SY445 @ SY447 )
| ( SV69 @ ( cons_P1213805021e_name @ SY444 @ SY445 ) @ ( cons_P1213805021e_name @ SY446 @ SY447 ) ) )
| ( SV69 @ SV143 @ SY577 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[701]) ).
thf(788,plain,
! [SV144: pi,SV70: name] :
( ( ! [SY586: name] :
( ~ ( fresh_name_pi @ SV70 @ SV144 )
| ~ ( fresh_name_pi @ SY586 @ SV144 )
| ( ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV70 @ SY586 ) @ nil_Pr743626285e_name ) @ SV144 )
= SV144 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[702]) ).
thf(789,plain,
! [SV145: name,SV71: name] :
( ( ! [SY587: name,SY588: name] :
( ( ( produc1570949143e_name @ SV71 @ SV145 )
= ( produc1570949143e_name @ SY587 @ SY588 ) )
= ( ~ ( ( SV71 != SY587 )
| ( SV145 != SY588 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[703]) ).
thf(790,plain,
! [SV146: name,SV72: name] :
( ( ! [SY589: name] :
~ ( ~ ( ( SV72 != SV146 )
| ( ( swap_name2 @ ( produc1570949143e_name @ SV72 @ SY589 ) @ SV146 )
= SY589 ) )
| ~ ( ~ ( ( SV72 != SV146 ) )
| ~ ( ~ ( ( SY589 != SV146 )
| ( ( swap_name2 @ ( produc1570949143e_name @ SV72 @ SY589 ) @ SV146 )
= SV72 ) )
| ~ ( ~ ( ( SY589 != SV146 ) )
| ( ( swap_name2 @ ( produc1570949143e_name @ SV72 @ SY589 ) @ SV146 )
= SV146 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[704]) ).
thf(791,plain,
! [SV147: name,SV73: name] :
( ( ! [SY590: name] :
( ~ ( ( SV73 != SV147 ) )
| ~ ( ( SY590 != SV147 ) )
| ( ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV73 @ SY590 ) @ nil_Pr743626285e_name ) @ SV147 )
= SV147 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[705]) ).
thf(792,plain,
! [SV148: name,SV74: name] :
( ( ! [SY591: name,SY592: name] :
( ( ( produc1570949143e_name @ SV74 @ SV148 )
!= ( produc1570949143e_name @ SY591 @ SY592 ) )
| ~ ( ( SV74 != SY591 )
| ( SV148 != SY592 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[706]) ).
thf(793,plain,
! [SV75: list_P227219501e_name] :
( ( ( ~ ( ( SV75 != nil_Pr743626285e_name ) ) )
= $true )
| ( ( ~ ! [SY460: produc367475239e_name] :
( SV75
!= ( cons_P1213805021e_name @ SY460 @ nil_Pr743626285e_name ) )
| ~ ! [SY461: produc367475239e_name,SY462: produc367475239e_name,SY463: list_P227219501e_name] :
( SV75
!= ( cons_P1213805021e_name @ SY461 @ ( cons_P1213805021e_name @ SY462 @ SY463 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[707]) ).
thf(794,plain,
! [SV149: produc367475239e_name,SV76: list_P227219501e_name] :
( ( ! [SY593: list_P227219501e_name] :
( ( SV76
!= ( cons_P1213805021e_name @ SV149 @ SY593 ) )
| ( SV76 != nil_Pr743626285e_name ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[708]) ).
thf(795,plain,
! [SV150: list_P227219501e_name,SV77: list_P227219501e_name > list_P227219501e_name > $o] :
( ( ! [SY594: list_P227219501e_name] :
( ~ ! [SY468: list_P227219501e_name] : ( SV77 @ nil_Pr743626285e_name @ SY468 )
| ~ ! [SY469: list_P227219501e_name] : ( SV77 @ SY469 @ nil_Pr743626285e_name )
| ~ ! [SY470: produc367475239e_name,SY471: list_P227219501e_name,SY472: produc367475239e_name,SY473: list_P227219501e_name] :
( ~ ( SV77 @ SY471 @ ( cons_P1213805021e_name @ SY472 @ SY473 ) )
| ~ ( SV77 @ ( cons_P1213805021e_name @ SY470 @ SY471 ) @ SY473 )
| ( SV77 @ ( cons_P1213805021e_name @ SY470 @ SY471 ) @ ( cons_P1213805021e_name @ SY472 @ SY473 ) ) )
| ( SV77 @ SV150 @ SY594 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[709]) ).
thf(796,plain,
! [SV151: late_freeRes,SV78: pi] :
( ( ! [SY601: pi,SY602: name] :
( ~ ( late_transitions @ SV78 @ ( late_FreeR @ SV151 @ SY601 ) )
| ~ ( fresh_name_pi @ SY602 @ SV78 )
| ( fresh_name_pi @ SY602 @ SY601 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[710]) ).
thf(797,plain,
! [SV152: name,SV79: name] :
( ( ! [SY603: name] :
~ ( ~ ( ( SV79 != SV152 )
| ( ( swap_name @ ( produc1570949143e_name @ SV79 @ SY603 ) @ SV152 )
= SY603 ) )
| ~ ( ~ ( ( SV79 != SV152 ) )
| ~ ( ~ ( ( SY603 != SV152 )
| ( ( swap_name @ ( produc1570949143e_name @ SV79 @ SY603 ) @ SV152 )
= SV79 ) )
| ~ ( ~ ( ( SY603 != SV152 ) )
| ( ( swap_name @ ( produc1570949143e_name @ SV79 @ SY603 ) @ SV152 )
= SV152 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[711]) ).
thf(798,plain,
! [SV153: list_P227219501e_name,SV80: list_P227219501e_name > list_P227219501e_name > $o] :
( ( ! [SY604: list_P227219501e_name] :
( ~ ! [SY481: list_P227219501e_name] : ( SV80 @ nil_Pr743626285e_name @ SY481 )
| ~ ! [SY482: produc367475239e_name,SY483: list_P227219501e_name,SY484: list_P227219501e_name] :
( ~ ( SV80 @ SY484 @ SY483 )
| ( SV80 @ ( cons_P1213805021e_name @ SY482 @ SY483 ) @ SY484 ) )
| ( SV80 @ SV153 @ SY604 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[712]) ).
thf(799,plain,
! [SV154: name,SV81: name] :
( ( ( late_OutputR @ SV81 @ SV154 )
!= late_TauR )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[713]) ).
thf(800,plain,
! [SV155: name,SV82: name] :
( ( ! [SY609: name,SY610: name] :
( ( ( produc1570949143e_name @ SV82 @ SV155 )
= ( produc1570949143e_name @ SY609 @ SY610 ) )
= ( ~ ( ( SV82 != SY609 )
| ( SV155 != SY610 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[714]) ).
thf(801,plain,
! [SV83: produc367475239e_name] :
( ( ! [SY489: name] :
~ ~ ! [SY490: name] :
( SV83
!= ( produc1570949143e_name @ SY489 @ SY490 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[715]) ).
thf(802,plain,
! [SV84: list_P227219501e_name] :
( ( ~ ( ( SV84 != nil_Pr743626285e_name )
| ~ ! [SY491: produc367475239e_name] :
~ ~ ! [SY492: list_P227219501e_name] :
( SV84
!= ( cons_P1213805021e_name @ SY491 @ SY492 ) ) )
| ~ ( ~ ( ( SV84 != nil_Pr743626285e_name ) )
| ~ ~ ! [SY491: produc367475239e_name] :
~ ~ ! [SY492: list_P227219501e_name] :
( SV84
!= ( cons_P1213805021e_name @ SY491 @ SY492 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[716]) ).
thf(803,plain,
! [SV84: list_P227219501e_name] :
( ( ( SV84 != nil_Pr743626285e_name )
= ( ~ ! [SY491: produc367475239e_name] :
~ ~ ! [SY492: list_P227219501e_name] :
( SV84
!= ( cons_P1213805021e_name @ SY491 @ SY492 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[716]) ).
thf(804,plain,
! [SV85: list_P227219501e_name] :
( ( ( ~ ( ( SV85 != nil_Pr743626285e_name ) ) )
= $true )
| ( ( ~ ! [SY493: produc367475239e_name,SY494: list_P227219501e_name] :
( SV85
!= ( cons_P1213805021e_name @ SY493 @ SY494 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[717]) ).
thf(805,plain,
! [SV156: list_P227219501e_name,SV86: produc367475239e_name] :
( ( ! [SY611: produc367475239e_name,SY612: list_P227219501e_name] :
( ( ( cons_P1213805021e_name @ SV86 @ SV156 )
= ( cons_P1213805021e_name @ SY611 @ SY612 ) )
= ( ~ ( ( SV86 != SY611 )
| ( SV156 != SY612 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[718]) ).
thf(806,plain,
! [SV157: list_P227219501e_name,SV87: $o] :
( ( ! [SY613: pi,SY614: pi] :
~ ( ~ ( ~ SV87
| ( ( perm_name_pi @ SV157 @ ( if_pi @ SV87 @ SY613 @ SY614 ) )
= ( perm_name_pi @ SV157 @ SY613 ) ) )
| ~ ( ~ ~ SV87
| ( ( perm_name_pi @ SV157 @ ( if_pi @ SV87 @ SY613 @ SY614 ) )
= ( perm_name_pi @ SV157 @ SY614 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[719]) ).
thf(807,plain,
! [SV158: list_P227219501e_name] :
( ( ! [SY615: pi,SY616: pi] :
~ ( ~ ( ~ $true
| ( ( perm_name_pi @ SV158 @ ( if_pi @ $true @ SY615 @ SY616 ) )
= ( perm_name_pi @ SV158 @ SY615 ) ) )
| ~ ( ~ ~ $true
| ( ( perm_name_pi @ SV158 @ ( if_pi @ $true @ SY615 @ SY616 ) )
= ( perm_name_pi @ SV158 @ SY616 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[720]) ).
thf(808,plain,
! [SV159: list_P227219501e_name] :
( ( ! [SY617: pi,SY618: pi] :
~ ( ~ ( ~ $false
| ( ( perm_name_pi @ SV159 @ ( if_pi @ $false @ SY617 @ SY618 ) )
= ( perm_name_pi @ SV159 @ SY617 ) ) )
| ~ ( ~ ~ $false
| ( ( perm_name_pi @ SV159 @ ( if_pi @ $false @ SY617 @ SY618 ) )
= ( perm_name_pi @ SV159 @ SY618 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[721]) ).
thf(809,plain,
! [SV160: late_freeRes,SV88: pi] :
( ( ! [SY619: pi,SY620: pi] :
( ~ ( late_transitions @ SV88 @ ( late_FreeR @ SV160 @ SY619 ) )
| ( late_transitions @ ( par @ SV88 @ SY620 ) @ ( late_FreeR @ SV160 @ ( par @ SY619 @ SY620 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[722]) ).
thf(810,plain,
! [SV161: late_freeRes,SV89: pi] :
( ( ! [SY621: pi,SY622: pi] :
( ~ ( late_transitions @ SV89 @ ( late_FreeR @ SV161 @ SY621 ) )
| ( late_transitions @ ( par @ SY622 @ SV89 ) @ ( late_FreeR @ SV161 @ ( par @ SY622 @ SY621 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[723]) ).
thf(811,plain,
! [SV162: produc367475239e_name > produc367475239e_name > $o,SV90: ( produc367475239e_name > produc367475239e_name > $o ) > list_P227219501e_name > $o] :
( ( ! [SY623: list_P227219501e_name] :
( ~ ! [SY509: produc367475239e_name > produc367475239e_name > $o] : ( SV90 @ SY509 @ nil_Pr743626285e_name )
| ~ ! [SY510: produc367475239e_name > produc367475239e_name > $o,SY511: produc367475239e_name,SY512: list_P227219501e_name] :
( ~ ( SV90 @ SY510 @ SY512 )
| ( SV90 @ SY510 @ ( cons_P1213805021e_name @ SY511 @ SY512 ) ) )
| ( SV90 @ SV162 @ SY623 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[724]) ).
thf(812,plain,
! [SV163: pi,SV91: pi] :
( ( ! [SY628: list_P227219501e_name] :
( ( SV91 != SV163 )
| ( ( perm_name_pi @ SY628 @ SV91 )
= ( perm_name_pi @ SY628 @ SV163 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[725]) ).
thf(813,plain,
! [SV164: name,SV92: name] :
( ( ( late_OutputR @ SV92 @ SV164 )
!= late_TauR )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[726]) ).
thf(814,plain,
! [SV165: list_P227219501e_name,SV93: list_P227219501e_name > $o] :
( ( ~ ( SV93 @ nil_Pr743626285e_name )
| ~ ! [SY517: produc367475239e_name] : ( SV93 @ ( cons_P1213805021e_name @ SY517 @ nil_Pr743626285e_name ) )
| ~ ! [SY518: produc367475239e_name,SY519: produc367475239e_name,SY520: list_P227219501e_name] :
( ~ ( SV93 @ SY520 )
| ~ ( SV93 @ ( cons_P1213805021e_name @ SY519 @ SY520 ) )
| ( SV93 @ ( cons_P1213805021e_name @ SY518 @ ( cons_P1213805021e_name @ SY519 @ SY520 ) ) ) )
| ( SV93 @ SV165 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[727]) ).
thf(815,plain,
! [SV166: late_subject,SV94: name,SV1: name] :
( ( ( perm_n1559866809ubject @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV1 @ SV94 ) @ nil_Pr743626285e_name ) @ ( perm_n1559866809ubject @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV1 @ SV94 ) @ nil_Pr743626285e_name ) @ SV166 ) )
= SV166 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[728]) ).
thf(816,plain,
! [SV167: late_freeRes,SV95: name,SV2: name] :
( ( ( perm_n336613537reeRes @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV2 @ SV95 ) @ nil_Pr743626285e_name ) @ ( perm_n336613537reeRes @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV2 @ SV95 ) @ nil_Pr743626285e_name ) @ SV167 ) )
= SV167 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[729]) ).
thf(817,plain,
! [SV168: pi_Rep,SV96: name,SV3: name] :
( ( ( perm_name_pi_Rep @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV3 @ SV96 ) @ nil_Pr743626285e_name ) @ ( perm_name_pi_Rep @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV3 @ SV96 ) @ nil_Pr743626285e_name ) @ SV168 ) )
= SV168 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[730]) ).
thf(818,plain,
! [SV169: name,SV97: name,SV4: name] :
( ( ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV4 @ SV97 ) @ nil_Pr743626285e_name ) @ ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV4 @ SV97 ) @ nil_Pr743626285e_name ) @ SV169 ) )
= SV169 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[731]) ).
thf(819,plain,
! [SV170: pi,SV98: name,SV5: name] :
( ( ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV5 @ SV98 ) @ nil_Pr743626285e_name ) @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV5 @ SV98 ) @ nil_Pr743626285e_name ) @ SV170 ) )
= SV170 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[732]) ).
thf(820,plain,
! [SV171: late_subject,SV104: name,SV11: name] :
( ( ( perm_n1559866809ubject @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV11 @ SV104 ) @ nil_Pr743626285e_name ) @ SV171 )
= ( perm_n1559866809ubject @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV104 @ SV11 ) @ nil_Pr743626285e_name ) @ SV171 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[738]) ).
thf(821,plain,
! [SV172: late_freeRes,SV105: name,SV12: name] :
( ( ( perm_n336613537reeRes @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV12 @ SV105 ) @ nil_Pr743626285e_name ) @ SV172 )
= ( perm_n336613537reeRes @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV105 @ SV12 ) @ nil_Pr743626285e_name ) @ SV172 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[739]) ).
thf(822,plain,
! [SV173: pi_Rep,SV106: name,SV13: name] :
( ( ( perm_name_pi_Rep @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV13 @ SV106 ) @ nil_Pr743626285e_name ) @ SV173 )
= ( perm_name_pi_Rep @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV106 @ SV13 ) @ nil_Pr743626285e_name ) @ SV173 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[740]) ).
thf(823,plain,
! [SV174: name,SV107: name,SV14: name] :
( ( ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV14 @ SV107 ) @ nil_Pr743626285e_name ) @ SV174 )
= ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV107 @ SV14 ) @ nil_Pr743626285e_name ) @ SV174 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[741]) ).
thf(824,plain,
! [SV175: pi,SV108: name,SV15: name] :
( ( ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV15 @ SV108 ) @ nil_Pr743626285e_name ) @ SV175 )
= ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV108 @ SV15 ) @ nil_Pr743626285e_name ) @ SV175 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[742]) ).
thf(825,plain,
! [SV176: late_subject,SV109: name,SV16: name] :
( ( ( perm_n1559866809ubject @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV16 @ SV109 ) @ nil_Pr743626285e_name ) @ ( perm_n1559866809ubject @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV16 @ SV109 ) @ nil_Pr743626285e_name ) @ SV176 ) )
= SV176 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[743]) ).
thf(826,plain,
! [SV177: late_freeRes,SV110: name,SV17: name] :
( ( ( perm_n336613537reeRes @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV17 @ SV110 ) @ nil_Pr743626285e_name ) @ ( perm_n336613537reeRes @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV17 @ SV110 ) @ nil_Pr743626285e_name ) @ SV177 ) )
= SV177 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[744]) ).
thf(827,plain,
! [SV178: pi_Rep,SV111: name,SV18: name] :
( ( ( perm_name_pi_Rep @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV18 @ SV111 ) @ nil_Pr743626285e_name ) @ ( perm_name_pi_Rep @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV18 @ SV111 ) @ nil_Pr743626285e_name ) @ SV178 ) )
= SV178 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[745]) ).
thf(828,plain,
! [SV179: name,SV112: name,SV19: name] :
( ( ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV19 @ SV112 ) @ nil_Pr743626285e_name ) @ ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV19 @ SV112 ) @ nil_Pr743626285e_name ) @ SV179 ) )
= SV179 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[746]) ).
thf(829,plain,
! [SV180: pi,SV113: name,SV20: name] :
( ( ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV20 @ SV113 ) @ nil_Pr743626285e_name ) @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV20 @ SV113 ) @ nil_Pr743626285e_name ) @ SV180 ) )
= SV180 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[747]) ).
thf(830,plain,
! [SV181: late_subject,SV114: name,SV26: name] :
( ( ( perm_n1559866809ubject @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV26 @ SV114 ) @ nil_Pr743626285e_name ) @ ( perm_n1559866809ubject @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV114 @ SV26 ) @ nil_Pr743626285e_name ) @ SV181 ) )
= SV181 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[748]) ).
thf(831,plain,
! [SV182: late_freeRes,SV115: name,SV27: name] :
( ( ( perm_n336613537reeRes @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV27 @ SV115 ) @ nil_Pr743626285e_name ) @ ( perm_n336613537reeRes @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV115 @ SV27 ) @ nil_Pr743626285e_name ) @ SV182 ) )
= SV182 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[749]) ).
thf(832,plain,
! [SV183: pi_Rep,SV116: name,SV28: name] :
( ( ( perm_name_pi_Rep @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV28 @ SV116 ) @ nil_Pr743626285e_name ) @ ( perm_name_pi_Rep @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV116 @ SV28 ) @ nil_Pr743626285e_name ) @ SV183 ) )
= SV183 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[750]) ).
thf(833,plain,
! [SV184: name,SV117: name,SV29: name] :
( ( ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV29 @ SV117 ) @ nil_Pr743626285e_name ) @ ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV117 @ SV29 ) @ nil_Pr743626285e_name ) @ SV184 ) )
= SV184 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[751]) ).
thf(834,plain,
! [SV185: pi,SV118: name,SV30: name] :
( ( ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV30 @ SV118 ) @ nil_Pr743626285e_name ) @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV118 @ SV30 ) @ nil_Pr743626285e_name ) @ SV185 ) )
= SV185 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[752]) ).
thf(835,plain,
! [SV186: pi,SV119: late_freeRes,SV35: list_P227219501e_name] :
( ( ( perm_n414416632sidual @ SV35 @ ( late_FreeR @ SV119 @ SV186 ) )
= ( late_FreeR @ ( perm_n336613537reeRes @ SV35 @ SV119 ) @ ( perm_name_pi @ SV35 @ SV186 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[753]) ).
thf(836,plain,
! [SV187: pi,SV122: list_P227219501e_name,SV39: list_P227219501e_name] :
( ( ( perm_name_pi @ SV39 @ ( perm_name_pi @ SV122 @ SV187 ) )
= ( perm_name_pi @ ( perm_n1160739829e_name @ SV39 @ SV122 ) @ ( perm_name_pi @ SV39 @ SV187 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[756]) ).
thf(837,plain,
! [SV188: pi,SV123: list_P227219501e_name,SV40: list_P227219501e_name] :
( ( ( perm_name_pi @ SV40 @ ( perm_name_pi @ SV123 @ SV188 ) )
= ( perm_name_pi @ ( perm_n1160739829e_name @ SV40 @ SV123 ) @ ( perm_name_pi @ SV40 @ SV188 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[757]) ).
thf(838,plain,
! [SV189: pi,SV124: list_P227219501e_name,SV41: list_P227219501e_name] :
( ( ( perm_name_pi @ SV41 @ ( perm_name_pi @ SV124 @ SV189 ) )
= ( perm_name_pi @ ( perm_n1160739829e_name @ SV41 @ SV124 ) @ ( perm_name_pi @ SV41 @ SV189 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[758]) ).
thf(839,plain,
! [SV190: pi,SV125: pi,SV42: list_P227219501e_name] :
( ( ( ( perm_name_pi @ SV42 @ SV125 )
= ( perm_name_pi @ SV42 @ SV190 ) )
= ( SV125 = SV190 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[759]) ).
thf(840,plain,
! [SV191: pi,SV126: pi,SV43: list_P227219501e_name] :
( ( ( perm_name_o @ SV43 @ ( SV126 = SV191 ) )
= ( ( perm_name_pi @ SV43 @ SV126 )
= ( perm_name_pi @ SV43 @ SV191 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[760]) ).
thf(841,plain,
! [SV192: pi,SV127: pi,SV44: list_P227219501e_name] :
( ( ( perm_name_pi @ SV44 @ ( par @ SV127 @ SV192 ) )
= ( par @ ( perm_name_pi @ SV44 @ SV127 ) @ ( perm_name_pi @ SV44 @ SV192 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[761]) ).
thf(842,plain,
! [SV193: pi,SV128: name,SV45: name] :
( ( ! [SY633: late_freeRes,SY634: pi] :
~ ( late_transitions @ ( input @ SV45 @ SV128 @ SV193 ) @ ( late_FreeR @ SY633 @ SY634 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[762]) ).
thf(843,plain,
! [SV47: $o] :
( ( ( ~ ( SV47
| $true )
| ~ ( ~ SV47
| ~ $true ) )
= $true )
| ( ( SV47 = $false )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[763]) ).
thf(844,plain,
! [SV47: $o] :
( ( ( SV47 = $true )
= $true )
| ( ( SV47 = $false )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[763]) ).
thf(845,plain,
( ( ( ~ ( $true
| $true )
| ~ ( ~ $true
| ~ $true ) )
= $true )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[764]) ).
thf(846,plain,
( ( ( $true = $true )
= $true )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[764]) ).
thf(847,plain,
( ( ( ~ ( $false
| $true )
| ~ ( ~ $false
| ~ $true ) )
= $true )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[765]) ).
thf(848,plain,
( ( ( $false = $true )
= $true )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[765]) ).
thf(849,plain,
! [SV194: name,SV129: name,SV48: name] :
( ( ! [SY635: name] :
( ( ( late_OutputR @ SV48 @ SV129 )
= ( late_OutputR @ SV194 @ SY635 ) )
= ( ~ ( ( SV48 != SV194 )
| ( SV129 != SY635 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[766]) ).
thf(850,plain,
! [SV49: list_P227219501e_name > $o] :
( ( ( ! [SY375: list_P227219501e_name] : ( SV49 @ SY375 ) )
= $false )
| ( ( SV49 @ nil_Pr743626285e_name )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[767]) ).
thf(851,plain,
! [SV195: pi,SV130: name,SV50: name] :
( ( ! [SY636: name] :
( ~ ( ( SV50 != SV130 ) )
| ~ ( fresh_name_pi @ SV130 @ SV195 )
| ~ ( fresh_name_pi @ SV50 @ SV195 )
| ( fresh_name_pi @ SV50 @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV130 @ SY636 ) @ nil_Pr743626285e_name ) @ SV195 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[768]) ).
thf(852,plain,
! [SV51: produc367475239e_name] :
( ( ! [SY637: name] :
( SV51
!= ( produc1570949143e_name @ ( sK1_SY379 @ SV51 ) @ SY637 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[769]) ).
thf(853,plain,
! [SV52: produc890461031e_name] :
( ( ( ! [SY381: list_P227219501e_name] :
( SV52
!= ( produc208131031e_name @ nil_Pr743626285e_name @ SY381 ) ) )
= $false )
| ( ( ~ ! [SY382: list_P227219501e_name] :
( SV52
!= ( produc208131031e_name @ SY382 @ nil_Pr743626285e_name ) )
| ~ ! [SY383: produc367475239e_name,SY384: list_P227219501e_name,SY385: produc367475239e_name,SY386: list_P227219501e_name] :
( SV52
!= ( produc208131031e_name @ ( cons_P1213805021e_name @ SY383 @ SY384 ) @ ( cons_P1213805021e_name @ SY385 @ SY386 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[770]) ).
thf(854,plain,
! [SV53: produc890461031e_name] :
( ( ( ! [SY387: list_P227219501e_name] :
( SV53
!= ( produc208131031e_name @ nil_Pr743626285e_name @ SY387 ) ) )
= $false )
| ( ( ~ ! [SY388: produc367475239e_name,SY389: list_P227219501e_name,SY390: list_P227219501e_name] :
( SV53
!= ( produc208131031e_name @ ( cons_P1213805021e_name @ SY388 @ SY389 ) @ SY390 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[771]) ).
thf(855,plain,
! [SV131: late_freeRes,SV54: late_freeRes > $o] :
( ( ( ~ ! [SY392: name,SY393: name] : ( SV54 @ ( late_OutputR @ SY392 @ SY393 ) ) )
= $true )
| ( ( ~ ( SV54 @ late_TauR )
| ( SV54 @ SV131 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[772]) ).
thf(856,plain,
! [SV132: produc367475239e_name,SV55: produc367475239e_name > $o] :
( ( ( ~ ! [SY395: name,SY396: name] : ( SV55 @ ( produc1570949143e_name @ SY395 @ SY396 ) ) )
= $true )
| ( ( SV55 @ SV132 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[773]) ).
thf(857,plain,
! [SV196: pi,SV133: name,SV56: late_subject] :
( ( ! [SY638: late_freeRes,SY639: pi] :
( ( late_BoundR @ SV56 @ SV133 @ SV196 )
!= ( late_FreeR @ SY638 @ SY639 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[774]) ).
thf(858,plain,
! [SV197: late_freeRes,SV134: pi,SV57: late_freeRes] :
( ( ! [SY640: pi] :
( ( ( late_FreeR @ SV57 @ SV134 )
= ( late_FreeR @ SV197 @ SY640 ) )
= ( ~ ( ( SV57 != SV197 )
| ( SV134 != SY640 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[775]) ).
thf(859,plain,
! [SV135: late_residual,SV58: late_residual > $o] :
( ( ( ~ ! [SY405: late_subject,SY406: name,SY407: pi] : ( SV58 @ ( late_BoundR @ SY405 @ SY406 @ SY407 ) ) )
= $true )
| ( ( ~ ! [SY408: late_freeRes,SY409: pi] : ( SV58 @ ( late_FreeR @ SY408 @ SY409 ) )
| ( SV58 @ SV135 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[776]) ).
thf(860,plain,
! [SV136: produc367475239e_name,SV59: produc367475239e_name > $o] :
( ( ( ~ ! [SY411: name,SY412: name] : ( SV59 @ ( produc1570949143e_name @ SY411 @ SY412 ) ) )
= $true )
| ( ( SV59 @ SV136 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[777]) ).
thf(861,plain,
! [SV198: name,SV137: pi,SV60: name] :
( ( ~ ( fresh_name_pi @ SV60 @ SV137 )
| ~ ( fresh_name_pi @ SV198 @ SV137 )
| ( ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV60 @ SV198 ) @ nil_Pr743626285e_name ) @ SV137 )
= SV137 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[778]) ).
thf(862,plain,
! [SV138: list_P227219501e_name,SV61: produc367475239e_name] :
( ( nil_Pr743626285e_name
= ( cons_P1213805021e_name @ SV61 @ SV138 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[779]) ).
thf(863,plain,
! [SV199: list_P227219501e_name,SV139: late_residual,SV62: pi] :
( ( ~ ( late_transitions @ SV62 @ SV139 )
| ( late_transitions @ ( perm_name_pi @ SV199 @ SV62 ) @ ( perm_n414416632sidual @ SV199 @ SV139 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[780]) ).
thf(864,plain,
! [SV200: name,SV140: name,SV63: name] :
( ( ! [SY641: name] :
( ( ( late_OutputR @ SV63 @ SV140 )
= ( late_OutputR @ SV200 @ SY641 ) )
= ( ~ ( ( SV63 != SV200 )
| ( SV140 != SY641 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[781]) ).
thf(865,plain,
! [SV64: produc1872410278e_name] :
( ( ( ! [SY421: produc367475239e_name > produc367475239e_name > $o] :
( SV64
!= ( produc1069608854e_name @ SY421 @ nil_Pr743626285e_name ) ) )
= $false )
| ( ( ~ ! [SY422: produc367475239e_name > produc367475239e_name > $o,SY423: produc367475239e_name] :
( SV64
!= ( produc1069608854e_name @ SY422 @ ( cons_P1213805021e_name @ SY423 @ nil_Pr743626285e_name ) ) )
| ~ ! [SY424: produc367475239e_name > produc367475239e_name > $o,SY425: produc367475239e_name,SY426: produc367475239e_name,SY427: list_P227219501e_name] :
( SV64
!= ( produc1069608854e_name @ SY424 @ ( cons_P1213805021e_name @ SY425 @ ( cons_P1213805021e_name @ SY426 @ SY427 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[782]) ).
thf(866,plain,
! [SV65: produc1872410278e_name] :
( ( ( ! [SY428: produc367475239e_name > produc367475239e_name > $o] :
( SV65
!= ( produc1069608854e_name @ SY428 @ nil_Pr743626285e_name ) ) )
= $false )
| ( ( ~ ! [SY429: produc367475239e_name > produc367475239e_name > $o,SY430: produc367475239e_name,SY431: list_P227219501e_name] :
( SV65
!= ( produc1069608854e_name @ SY429 @ ( cons_P1213805021e_name @ SY430 @ SY431 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[783]) ).
thf(867,plain,
! [SV141: list_P227219501e_name,SV66: list_P227219501e_name > $o] :
( ( ( ~ ( SV66 @ nil_Pr743626285e_name ) )
= $true )
| ( ( ~ ! [SY433: produc367475239e_name,SY434: list_P227219501e_name] :
( ~ ( SV66 @ SY434 )
| ( SV66 @ ( cons_P1213805021e_name @ SY433 @ SY434 ) ) )
| ( SV66 @ SV141 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[784]) ).
thf(868,plain,
! [SV67: late_freeRes] :
( ( ( ! [SY435: name,SY436: name] :
( SV67
!= ( late_OutputR @ SY435 @ SY436 ) ) )
= $false )
| ( ( SV67 = late_TauR )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[785]) ).
thf(869,plain,
! [SV142: list_P227219501e_name,SV68: produc367475239e_name] :
( ( ( cons_P1213805021e_name @ SV68 @ SV142 )
= SV142 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[786]) ).
thf(870,plain,
! [SV201: list_P227219501e_name,SV143: list_P227219501e_name,SV69: list_P227219501e_name > list_P227219501e_name > $o] :
( ( ~ ( SV69 @ nil_Pr743626285e_name @ nil_Pr743626285e_name )
| ~ ! [SY440: produc367475239e_name,SY441: list_P227219501e_name] : ( SV69 @ ( cons_P1213805021e_name @ SY440 @ SY441 ) @ nil_Pr743626285e_name )
| ~ ! [SY442: produc367475239e_name,SY443: list_P227219501e_name] : ( SV69 @ nil_Pr743626285e_name @ ( cons_P1213805021e_name @ SY442 @ SY443 ) )
| ~ ! [SY444: produc367475239e_name,SY445: list_P227219501e_name,SY446: produc367475239e_name,SY447: list_P227219501e_name] :
( ~ ( SV69 @ SY445 @ SY447 )
| ( SV69 @ ( cons_P1213805021e_name @ SY444 @ SY445 ) @ ( cons_P1213805021e_name @ SY446 @ SY447 ) ) )
| ( SV69 @ SV143 @ SV201 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[787]) ).
thf(871,plain,
! [SV202: name,SV144: pi,SV70: name] :
( ( ~ ( fresh_name_pi @ SV70 @ SV144 )
| ~ ( fresh_name_pi @ SV202 @ SV144 )
| ( ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV70 @ SV202 ) @ nil_Pr743626285e_name ) @ SV144 )
= SV144 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[788]) ).
thf(872,plain,
! [SV203: name,SV145: name,SV71: name] :
( ( ! [SY650: name] :
( ( ( produc1570949143e_name @ SV71 @ SV145 )
= ( produc1570949143e_name @ SV203 @ SY650 ) )
= ( ~ ( ( SV71 != SV203 )
| ( SV145 != SY650 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[789]) ).
thf(873,plain,
! [SV204: name,SV146: name,SV72: name] :
( ( ~ ( ~ ( ( SV72 != SV146 )
| ( ( swap_name2 @ ( produc1570949143e_name @ SV72 @ SV204 ) @ SV146 )
= SV204 ) )
| ~ ( ~ ( ( SV72 != SV146 ) )
| ~ ( ~ ( ( SV204 != SV146 )
| ( ( swap_name2 @ ( produc1570949143e_name @ SV72 @ SV204 ) @ SV146 )
= SV72 ) )
| ~ ( ~ ( ( SV204 != SV146 ) )
| ( ( swap_name2 @ ( produc1570949143e_name @ SV72 @ SV204 ) @ SV146 )
= SV146 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[790]) ).
thf(874,plain,
! [SV205: name,SV147: name,SV73: name] :
( ( ~ ( ( SV73 != SV147 ) )
| ~ ( ( SV205 != SV147 ) )
| ( ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV73 @ SV205 ) @ nil_Pr743626285e_name ) @ SV147 )
= SV147 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[791]) ).
thf(875,plain,
! [SV206: name,SV148: name,SV74: name] :
( ( ! [SY651: name] :
( ( ( produc1570949143e_name @ SV74 @ SV148 )
!= ( produc1570949143e_name @ SV206 @ SY651 ) )
| ~ ( ( SV74 != SV206 )
| ( SV148 != SY651 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[792]) ).
thf(876,plain,
! [SV75: list_P227219501e_name] :
( ( ( SV75 != nil_Pr743626285e_name )
= $false )
| ( ( ~ ! [SY460: produc367475239e_name] :
( SV75
!= ( cons_P1213805021e_name @ SY460 @ nil_Pr743626285e_name ) )
| ~ ! [SY461: produc367475239e_name,SY462: produc367475239e_name,SY463: list_P227219501e_name] :
( SV75
!= ( cons_P1213805021e_name @ SY461 @ ( cons_P1213805021e_name @ SY462 @ SY463 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[793]) ).
thf(877,plain,
! [SV207: list_P227219501e_name,SV149: produc367475239e_name,SV76: list_P227219501e_name] :
( ( ( SV76
!= ( cons_P1213805021e_name @ SV149 @ SV207 ) )
| ( SV76 != nil_Pr743626285e_name ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[794]) ).
thf(878,plain,
! [SV208: list_P227219501e_name,SV150: list_P227219501e_name,SV77: list_P227219501e_name > list_P227219501e_name > $o] :
( ( ~ ! [SY468: list_P227219501e_name] : ( SV77 @ nil_Pr743626285e_name @ SY468 )
| ~ ! [SY469: list_P227219501e_name] : ( SV77 @ SY469 @ nil_Pr743626285e_name )
| ~ ! [SY470: produc367475239e_name,SY471: list_P227219501e_name,SY472: produc367475239e_name,SY473: list_P227219501e_name] :
( ~ ( SV77 @ SY471 @ ( cons_P1213805021e_name @ SY472 @ SY473 ) )
| ~ ( SV77 @ ( cons_P1213805021e_name @ SY470 @ SY471 ) @ SY473 )
| ( SV77 @ ( cons_P1213805021e_name @ SY470 @ SY471 ) @ ( cons_P1213805021e_name @ SY472 @ SY473 ) ) )
| ( SV77 @ SV150 @ SV208 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[795]) ).
thf(879,plain,
! [SV209: pi,SV151: late_freeRes,SV78: pi] :
( ( ! [SY658: name] :
( ~ ( late_transitions @ SV78 @ ( late_FreeR @ SV151 @ SV209 ) )
| ~ ( fresh_name_pi @ SY658 @ SV78 )
| ( fresh_name_pi @ SY658 @ SV209 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[796]) ).
thf(880,plain,
! [SV210: name,SV152: name,SV79: name] :
( ( ~ ( ~ ( ( SV79 != SV152 )
| ( ( swap_name @ ( produc1570949143e_name @ SV79 @ SV210 ) @ SV152 )
= SV210 ) )
| ~ ( ~ ( ( SV79 != SV152 ) )
| ~ ( ~ ( ( SV210 != SV152 )
| ( ( swap_name @ ( produc1570949143e_name @ SV79 @ SV210 ) @ SV152 )
= SV79 ) )
| ~ ( ~ ( ( SV210 != SV152 ) )
| ( ( swap_name @ ( produc1570949143e_name @ SV79 @ SV210 ) @ SV152 )
= SV152 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[797]) ).
thf(881,plain,
! [SV211: list_P227219501e_name,SV153: list_P227219501e_name,SV80: list_P227219501e_name > list_P227219501e_name > $o] :
( ( ~ ! [SY481: list_P227219501e_name] : ( SV80 @ nil_Pr743626285e_name @ SY481 )
| ~ ! [SY482: produc367475239e_name,SY483: list_P227219501e_name,SY484: list_P227219501e_name] :
( ~ ( SV80 @ SY484 @ SY483 )
| ( SV80 @ ( cons_P1213805021e_name @ SY482 @ SY483 ) @ SY484 ) )
| ( SV80 @ SV153 @ SV211 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[798]) ).
thf(882,plain,
! [SV154: name,SV81: name] :
( ( ( late_OutputR @ SV81 @ SV154 )
= late_TauR )
= $false ),
inference(extcnf_not_pos,[status(thm)],[799]) ).
thf(883,plain,
! [SV212: name,SV155: name,SV82: name] :
( ( ! [SY663: name] :
( ( ( produc1570949143e_name @ SV82 @ SV155 )
= ( produc1570949143e_name @ SV212 @ SY663 ) )
= ( ~ ( ( SV82 != SV212 )
| ( SV155 != SY663 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[800]) ).
thf(884,plain,
! [SV83: produc367475239e_name] :
( ( ~ ~ ! [SY664: name] :
( SV83
!= ( produc1570949143e_name @ ( sK2_SY489 @ SV83 ) @ SY664 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[801]) ).
thf(885,plain,
! [SV84: list_P227219501e_name] :
( ( ( ~ ( ( SV84 != nil_Pr743626285e_name )
| ~ ! [SY491: produc367475239e_name] :
~ ~ ! [SY492: list_P227219501e_name] :
( SV84
!= ( cons_P1213805021e_name @ SY491 @ SY492 ) ) ) )
= $true )
| ( ( ~ ( ~ ( ( SV84 != nil_Pr743626285e_name ) )
| ~ ~ ! [SY491: produc367475239e_name] :
~ ~ ! [SY492: list_P227219501e_name] :
( SV84
!= ( cons_P1213805021e_name @ SY491 @ SY492 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[802]) ).
thf(886,plain,
! [SV85: list_P227219501e_name] :
( ( ( SV85 != nil_Pr743626285e_name )
= $false )
| ( ( ~ ! [SY493: produc367475239e_name,SY494: list_P227219501e_name] :
( SV85
!= ( cons_P1213805021e_name @ SY493 @ SY494 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[804]) ).
thf(887,plain,
! [SV213: produc367475239e_name,SV156: list_P227219501e_name,SV86: produc367475239e_name] :
( ( ! [SY665: list_P227219501e_name] :
( ( ( cons_P1213805021e_name @ SV86 @ SV156 )
= ( cons_P1213805021e_name @ SV213 @ SY665 ) )
= ( ~ ( ( SV86 != SV213 )
| ( SV156 != SY665 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[805]) ).
thf(888,plain,
! [SV214: pi,SV157: list_P227219501e_name,SV87: $o] :
( ( ! [SY666: pi] :
~ ( ~ ( ~ SV87
| ( ( perm_name_pi @ SV157 @ ( if_pi @ SV87 @ SV214 @ SY666 ) )
= ( perm_name_pi @ SV157 @ SV214 ) ) )
| ~ ( ~ ~ SV87
| ( ( perm_name_pi @ SV157 @ ( if_pi @ SV87 @ SV214 @ SY666 ) )
= ( perm_name_pi @ SV157 @ SY666 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[806]) ).
thf(889,plain,
! [SV215: pi,SV158: list_P227219501e_name] :
( ( ! [SY667: pi] :
~ ( ~ ( ~ $true
| ( ( perm_name_pi @ SV158 @ ( if_pi @ $true @ SV215 @ SY667 ) )
= ( perm_name_pi @ SV158 @ SV215 ) ) )
| ~ ( ~ ~ $true
| ( ( perm_name_pi @ SV158 @ ( if_pi @ $true @ SV215 @ SY667 ) )
= ( perm_name_pi @ SV158 @ SY667 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[807]) ).
thf(890,plain,
! [SV216: pi,SV159: list_P227219501e_name] :
( ( ! [SY668: pi] :
~ ( ~ ( ~ $false
| ( ( perm_name_pi @ SV159 @ ( if_pi @ $false @ SV216 @ SY668 ) )
= ( perm_name_pi @ SV159 @ SV216 ) ) )
| ~ ( ~ ~ $false
| ( ( perm_name_pi @ SV159 @ ( if_pi @ $false @ SV216 @ SY668 ) )
= ( perm_name_pi @ SV159 @ SY668 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[808]) ).
thf(891,plain,
! [SV217: pi,SV160: late_freeRes,SV88: pi] :
( ( ! [SY669: pi] :
( ~ ( late_transitions @ SV88 @ ( late_FreeR @ SV160 @ SV217 ) )
| ( late_transitions @ ( par @ SV88 @ SY669 ) @ ( late_FreeR @ SV160 @ ( par @ SV217 @ SY669 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[809]) ).
thf(892,plain,
! [SV218: pi,SV161: late_freeRes,SV89: pi] :
( ( ! [SY670: pi] :
( ~ ( late_transitions @ SV89 @ ( late_FreeR @ SV161 @ SV218 ) )
| ( late_transitions @ ( par @ SY670 @ SV89 ) @ ( late_FreeR @ SV161 @ ( par @ SY670 @ SV218 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[810]) ).
thf(893,plain,
! [SV219: list_P227219501e_name,SV162: produc367475239e_name > produc367475239e_name > $o,SV90: ( produc367475239e_name > produc367475239e_name > $o ) > list_P227219501e_name > $o] :
( ( ~ ! [SY509: produc367475239e_name > produc367475239e_name > $o] : ( SV90 @ SY509 @ nil_Pr743626285e_name )
| ~ ! [SY510: produc367475239e_name > produc367475239e_name > $o,SY511: produc367475239e_name,SY512: list_P227219501e_name] :
( ~ ( SV90 @ SY510 @ SY512 )
| ( SV90 @ SY510 @ ( cons_P1213805021e_name @ SY511 @ SY512 ) ) )
| ( SV90 @ SV162 @ SV219 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[811]) ).
thf(894,plain,
! [SV220: list_P227219501e_name,SV163: pi,SV91: pi] :
( ( ( SV91 != SV163 )
| ( ( perm_name_pi @ SV220 @ SV91 )
= ( perm_name_pi @ SV220 @ SV163 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[812]) ).
thf(895,plain,
! [SV164: name,SV92: name] :
( ( ( late_OutputR @ SV92 @ SV164 )
= late_TauR )
= $false ),
inference(extcnf_not_pos,[status(thm)],[813]) ).
thf(896,plain,
! [SV165: list_P227219501e_name,SV93: list_P227219501e_name > $o] :
( ( ( ~ ( SV93 @ nil_Pr743626285e_name ) )
= $true )
| ( ( ~ ! [SY517: produc367475239e_name] : ( SV93 @ ( cons_P1213805021e_name @ SY517 @ nil_Pr743626285e_name ) )
| ~ ! [SY518: produc367475239e_name,SY519: produc367475239e_name,SY520: list_P227219501e_name] :
( ~ ( SV93 @ SY520 )
| ~ ( SV93 @ ( cons_P1213805021e_name @ SY519 @ SY520 ) )
| ( SV93 @ ( cons_P1213805021e_name @ SY518 @ ( cons_P1213805021e_name @ SY519 @ SY520 ) ) ) )
| ( SV93 @ SV165 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[814]) ).
thf(897,plain,
! [SV190: pi,SV125: pi,SV42: list_P227219501e_name] :
( ( ~ ( ( ( perm_name_pi @ SV42 @ SV125 )
= ( perm_name_pi @ SV42 @ SV190 ) )
| ( SV125 = SV190 ) )
| ~ ( ( ( perm_name_pi @ SV42 @ SV125 )
!= ( perm_name_pi @ SV42 @ SV190 ) )
| ( SV125 != SV190 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[839]) ).
thf(898,plain,
! [SV190: pi,SV125: pi,SV42: list_P227219501e_name] :
( ( ( ( perm_name_pi @ SV42 @ SV125 )
= ( perm_name_pi @ SV42 @ SV190 ) )
= ( SV125 = SV190 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[839]) ).
thf(899,plain,
! [SV191: pi,SV126: pi,SV43: list_P227219501e_name] :
( ( ~ ( ( perm_name_o @ SV43 @ ( SV126 = SV191 ) )
| ( ( perm_name_pi @ SV43 @ SV126 )
= ( perm_name_pi @ SV43 @ SV191 ) ) )
| ~ ( ~ ( perm_name_o @ SV43 @ ( SV126 = SV191 ) )
| ( ( perm_name_pi @ SV43 @ SV126 )
!= ( perm_name_pi @ SV43 @ SV191 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[840]) ).
thf(900,plain,
! [SV191: pi,SV126: pi,SV43: list_P227219501e_name] :
( ( ( perm_name_o @ SV43 @ ( SV126 = SV191 ) )
= ( ( perm_name_pi @ SV43 @ SV126 )
= ( perm_name_pi @ SV43 @ SV191 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[840]) ).
thf(901,plain,
! [SV221: late_freeRes,SV193: pi,SV128: name,SV45: name] :
( ( ! [SY675: pi] :
~ ( late_transitions @ ( input @ SV45 @ SV128 @ SV193 ) @ ( late_FreeR @ SV221 @ SY675 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[842]) ).
thf(902,plain,
! [SV47: $o] :
( ( ( ~ ( SV47
| $true ) )
= $true )
| ( ( ~ ( ~ SV47
| ~ $true ) )
= $true )
| ( ( SV47 = $false )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[843]) ).
thf(903,plain,
! [SV47: $o] :
( ( ( ~ ( SV47
| $false )
| ~ ( ~ SV47
| ~ $false ) )
= $true )
| ( ( SV47 = $true )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[844]) ).
thf(904,plain,
! [SV47: $o] :
( ( ( SV47 = $false )
= $true )
| ( ( SV47 = $true )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[844]) ).
thf(905,plain,
( ( ( ~ ( $true
| $true ) )
= $true )
| ( ( ~ ( ~ $true
| ~ $true ) )
= $true )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[845]) ).
thf(906,plain,
( ( ( ~ ( $true
| $false )
| ~ ( ~ $true
| ~ $false ) )
= $true )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[846]) ).
thf(907,plain,
( ( ( $true = $false )
= $true )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[846]) ).
thf(908,plain,
( ( ( ~ ( $false
| $true ) )
= $true )
| ( ( ~ ( ~ $false
| ~ $true ) )
= $true )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[847]) ).
thf(909,plain,
( ( ( ~ ( $false
| $false )
| ~ ( ~ $false
| ~ $false ) )
= $true )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[848]) ).
thf(910,plain,
( ( ( $false = $false )
= $true )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[848]) ).
thf(911,plain,
! [SV222: name,SV194: name,SV129: name,SV48: name] :
( ( ( ( late_OutputR @ SV48 @ SV129 )
= ( late_OutputR @ SV194 @ SV222 ) )
= ( ~ ( ( SV48 != SV194 )
| ( SV129 != SV222 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[849]) ).
thf(912,plain,
! [SV49: list_P227219501e_name > $o] :
( ( ( SV49 @ ( sK3_SY375 @ SV49 ) )
= $false )
| ( ( SV49 @ nil_Pr743626285e_name )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[850]) ).
thf(913,plain,
! [SV223: name,SV195: pi,SV130: name,SV50: name] :
( ( ~ ( ( SV50 != SV130 ) )
| ~ ( fresh_name_pi @ SV130 @ SV195 )
| ~ ( fresh_name_pi @ SV50 @ SV195 )
| ( fresh_name_pi @ SV50 @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV130 @ SV223 ) @ nil_Pr743626285e_name ) @ SV195 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[851]) ).
thf(914,plain,
! [SV51: produc367475239e_name] :
( ( SV51
!= ( produc1570949143e_name @ ( sK1_SY379 @ SV51 ) @ ( sK4_SY637 @ SV51 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[852]) ).
thf(915,plain,
! [SV52: produc890461031e_name] :
( ( ( SV52
!= ( produc208131031e_name @ nil_Pr743626285e_name @ ( sK5_SY381 @ SV52 ) ) )
= $false )
| ( ( ~ ! [SY382: list_P227219501e_name] :
( SV52
!= ( produc208131031e_name @ SY382 @ nil_Pr743626285e_name ) )
| ~ ! [SY383: produc367475239e_name,SY384: list_P227219501e_name,SY385: produc367475239e_name,SY386: list_P227219501e_name] :
( SV52
!= ( produc208131031e_name @ ( cons_P1213805021e_name @ SY383 @ SY384 ) @ ( cons_P1213805021e_name @ SY385 @ SY386 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[853]) ).
thf(916,plain,
! [SV53: produc890461031e_name] :
( ( ( SV53
!= ( produc208131031e_name @ nil_Pr743626285e_name @ ( sK6_SY387 @ SV53 ) ) )
= $false )
| ( ( ~ ! [SY388: produc367475239e_name,SY389: list_P227219501e_name,SY390: list_P227219501e_name] :
( SV53
!= ( produc208131031e_name @ ( cons_P1213805021e_name @ SY388 @ SY389 ) @ SY390 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[854]) ).
thf(917,plain,
! [SV131: late_freeRes,SV54: late_freeRes > $o] :
( ( ( ! [SY392: name,SY393: name] : ( SV54 @ ( late_OutputR @ SY392 @ SY393 ) ) )
= $false )
| ( ( ~ ( SV54 @ late_TauR )
| ( SV54 @ SV131 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[855]) ).
thf(918,plain,
! [SV132: produc367475239e_name,SV55: produc367475239e_name > $o] :
( ( ( ! [SY395: name,SY396: name] : ( SV55 @ ( produc1570949143e_name @ SY395 @ SY396 ) ) )
= $false )
| ( ( SV55 @ SV132 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[856]) ).
thf(919,plain,
! [SV224: late_freeRes,SV196: pi,SV133: name,SV56: late_subject] :
( ( ! [SY676: pi] :
( ( late_BoundR @ SV56 @ SV133 @ SV196 )
!= ( late_FreeR @ SV224 @ SY676 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[857]) ).
thf(920,plain,
! [SV225: pi,SV197: late_freeRes,SV134: pi,SV57: late_freeRes] :
( ( ( ( late_FreeR @ SV57 @ SV134 )
= ( late_FreeR @ SV197 @ SV225 ) )
= ( ~ ( ( SV57 != SV197 )
| ( SV134 != SV225 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[858]) ).
thf(921,plain,
! [SV135: late_residual,SV58: late_residual > $o] :
( ( ( ! [SY405: late_subject,SY406: name,SY407: pi] : ( SV58 @ ( late_BoundR @ SY405 @ SY406 @ SY407 ) ) )
= $false )
| ( ( ~ ! [SY408: late_freeRes,SY409: pi] : ( SV58 @ ( late_FreeR @ SY408 @ SY409 ) )
| ( SV58 @ SV135 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[859]) ).
thf(922,plain,
! [SV136: produc367475239e_name,SV59: produc367475239e_name > $o] :
( ( ( ! [SY411: name,SY412: name] : ( SV59 @ ( produc1570949143e_name @ SY411 @ SY412 ) ) )
= $false )
| ( ( SV59 @ SV136 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[860]) ).
thf(923,plain,
! [SV198: name,SV137: pi,SV60: name] :
( ( ( ~ ( fresh_name_pi @ SV60 @ SV137 ) )
= $true )
| ( ( ~ ( fresh_name_pi @ SV198 @ SV137 )
| ( ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV60 @ SV198 ) @ nil_Pr743626285e_name ) @ SV137 )
= SV137 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[861]) ).
thf(924,plain,
! [SV199: list_P227219501e_name,SV139: late_residual,SV62: pi] :
( ( ( ~ ( late_transitions @ SV62 @ SV139 ) )
= $true )
| ( ( late_transitions @ ( perm_name_pi @ SV199 @ SV62 ) @ ( perm_n414416632sidual @ SV199 @ SV139 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[863]) ).
thf(925,plain,
! [SV226: name,SV200: name,SV140: name,SV63: name] :
( ( ( ( late_OutputR @ SV63 @ SV140 )
= ( late_OutputR @ SV200 @ SV226 ) )
= ( ~ ( ( SV63 != SV200 )
| ( SV140 != SV226 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[864]) ).
thf(926,plain,
! [SV64: produc1872410278e_name] :
( ( ( SV64
!= ( produc1069608854e_name @ ( sK7_SY421 @ SV64 ) @ nil_Pr743626285e_name ) )
= $false )
| ( ( ~ ! [SY422: produc367475239e_name > produc367475239e_name > $o,SY423: produc367475239e_name] :
( SV64
!= ( produc1069608854e_name @ SY422 @ ( cons_P1213805021e_name @ SY423 @ nil_Pr743626285e_name ) ) )
| ~ ! [SY424: produc367475239e_name > produc367475239e_name > $o,SY425: produc367475239e_name,SY426: produc367475239e_name,SY427: list_P227219501e_name] :
( SV64
!= ( produc1069608854e_name @ SY424 @ ( cons_P1213805021e_name @ SY425 @ ( cons_P1213805021e_name @ SY426 @ SY427 ) ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[865]) ).
thf(927,plain,
! [SV65: produc1872410278e_name] :
( ( ( SV65
!= ( produc1069608854e_name @ ( sK8_SY428 @ SV65 ) @ nil_Pr743626285e_name ) )
= $false )
| ( ( ~ ! [SY429: produc367475239e_name > produc367475239e_name > $o,SY430: produc367475239e_name,SY431: list_P227219501e_name] :
( SV65
!= ( produc1069608854e_name @ SY429 @ ( cons_P1213805021e_name @ SY430 @ SY431 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[866]) ).
thf(928,plain,
! [SV141: list_P227219501e_name,SV66: list_P227219501e_name > $o] :
( ( ( SV66 @ nil_Pr743626285e_name )
= $false )
| ( ( ~ ! [SY433: produc367475239e_name,SY434: list_P227219501e_name] :
( ~ ( SV66 @ SY434 )
| ( SV66 @ ( cons_P1213805021e_name @ SY433 @ SY434 ) ) )
| ( SV66 @ SV141 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[867]) ).
thf(929,plain,
! [SV67: late_freeRes] :
( ( ( ! [SY677: name] :
( SV67
!= ( late_OutputR @ ( sK9_SY435 @ SV67 ) @ SY677 ) ) )
= $false )
| ( ( SV67 = late_TauR )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[868]) ).
thf(930,plain,
! [SV201: list_P227219501e_name,SV143: list_P227219501e_name,SV69: list_P227219501e_name > list_P227219501e_name > $o] :
( ( ( ~ ( SV69 @ nil_Pr743626285e_name @ nil_Pr743626285e_name ) )
= $true )
| ( ( ~ ! [SY440: produc367475239e_name,SY441: list_P227219501e_name] : ( SV69 @ ( cons_P1213805021e_name @ SY440 @ SY441 ) @ nil_Pr743626285e_name )
| ~ ! [SY442: produc367475239e_name,SY443: list_P227219501e_name] : ( SV69 @ nil_Pr743626285e_name @ ( cons_P1213805021e_name @ SY442 @ SY443 ) )
| ~ ! [SY444: produc367475239e_name,SY445: list_P227219501e_name,SY446: produc367475239e_name,SY447: list_P227219501e_name] :
( ~ ( SV69 @ SY445 @ SY447 )
| ( SV69 @ ( cons_P1213805021e_name @ SY444 @ SY445 ) @ ( cons_P1213805021e_name @ SY446 @ SY447 ) ) )
| ( SV69 @ SV143 @ SV201 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[870]) ).
thf(931,plain,
! [SV202: name,SV144: pi,SV70: name] :
( ( ( ~ ( fresh_name_pi @ SV70 @ SV144 ) )
= $true )
| ( ( ~ ( fresh_name_pi @ SV202 @ SV144 )
| ( ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV70 @ SV202 ) @ nil_Pr743626285e_name ) @ SV144 )
= SV144 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[871]) ).
thf(932,plain,
! [SV227: name,SV203: name,SV145: name,SV71: name] :
( ( ( ( produc1570949143e_name @ SV71 @ SV145 )
= ( produc1570949143e_name @ SV203 @ SV227 ) )
= ( ~ ( ( SV71 != SV203 )
| ( SV145 != SV227 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[872]) ).
thf(933,plain,
! [SV204: name,SV146: name,SV72: name] :
( ( ~ ( ( SV72 != SV146 )
| ( ( swap_name2 @ ( produc1570949143e_name @ SV72 @ SV204 ) @ SV146 )
= SV204 ) )
| ~ ( ~ ( ( SV72 != SV146 ) )
| ~ ( ~ ( ( SV204 != SV146 )
| ( ( swap_name2 @ ( produc1570949143e_name @ SV72 @ SV204 ) @ SV146 )
= SV72 ) )
| ~ ( ~ ( ( SV204 != SV146 ) )
| ( ( swap_name2 @ ( produc1570949143e_name @ SV72 @ SV204 ) @ SV146 )
= SV146 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[873]) ).
thf(934,plain,
! [SV205: name,SV147: name,SV73: name] :
( ( ( ~ ( ( SV73 != SV147 ) ) )
= $true )
| ( ( ~ ( ( SV205 != SV147 ) )
| ( ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV73 @ SV205 ) @ nil_Pr743626285e_name ) @ SV147 )
= SV147 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[874]) ).
thf(935,plain,
! [SV228: name,SV206: name,SV148: name,SV74: name] :
( ( ( ( produc1570949143e_name @ SV74 @ SV148 )
!= ( produc1570949143e_name @ SV206 @ SV228 ) )
| ~ ( ( SV74 != SV206 )
| ( SV148 != SV228 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[875]) ).
thf(936,plain,
! [SV75: list_P227219501e_name] :
( ( ( SV75 = nil_Pr743626285e_name )
= $true )
| ( ( ~ ! [SY460: produc367475239e_name] :
( SV75
!= ( cons_P1213805021e_name @ SY460 @ nil_Pr743626285e_name ) )
| ~ ! [SY461: produc367475239e_name,SY462: produc367475239e_name,SY463: list_P227219501e_name] :
( SV75
!= ( cons_P1213805021e_name @ SY461 @ ( cons_P1213805021e_name @ SY462 @ SY463 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[876]) ).
thf(937,plain,
! [SV207: list_P227219501e_name,SV149: produc367475239e_name,SV76: list_P227219501e_name] :
( ( ( SV76
!= ( cons_P1213805021e_name @ SV149 @ SV207 ) )
= $true )
| ( ( SV76 != nil_Pr743626285e_name )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[877]) ).
thf(938,plain,
! [SV208: list_P227219501e_name,SV150: list_P227219501e_name,SV77: list_P227219501e_name > list_P227219501e_name > $o] :
( ( ( ~ ! [SY468: list_P227219501e_name] : ( SV77 @ nil_Pr743626285e_name @ SY468 ) )
= $true )
| ( ( ~ ! [SY469: list_P227219501e_name] : ( SV77 @ SY469 @ nil_Pr743626285e_name )
| ~ ! [SY470: produc367475239e_name,SY471: list_P227219501e_name,SY472: produc367475239e_name,SY473: list_P227219501e_name] :
( ~ ( SV77 @ SY471 @ ( cons_P1213805021e_name @ SY472 @ SY473 ) )
| ~ ( SV77 @ ( cons_P1213805021e_name @ SY470 @ SY471 ) @ SY473 )
| ( SV77 @ ( cons_P1213805021e_name @ SY470 @ SY471 ) @ ( cons_P1213805021e_name @ SY472 @ SY473 ) ) )
| ( SV77 @ SV150 @ SV208 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[878]) ).
thf(939,plain,
! [SV229: name,SV209: pi,SV151: late_freeRes,SV78: pi] :
( ( ~ ( late_transitions @ SV78 @ ( late_FreeR @ SV151 @ SV209 ) )
| ~ ( fresh_name_pi @ SV229 @ SV78 )
| ( fresh_name_pi @ SV229 @ SV209 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[879]) ).
thf(940,plain,
! [SV210: name,SV152: name,SV79: name] :
( ( ~ ( ( SV79 != SV152 )
| ( ( swap_name @ ( produc1570949143e_name @ SV79 @ SV210 ) @ SV152 )
= SV210 ) )
| ~ ( ~ ( ( SV79 != SV152 ) )
| ~ ( ~ ( ( SV210 != SV152 )
| ( ( swap_name @ ( produc1570949143e_name @ SV79 @ SV210 ) @ SV152 )
= SV79 ) )
| ~ ( ~ ( ( SV210 != SV152 ) )
| ( ( swap_name @ ( produc1570949143e_name @ SV79 @ SV210 ) @ SV152 )
= SV152 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[880]) ).
thf(941,plain,
! [SV211: list_P227219501e_name,SV153: list_P227219501e_name,SV80: list_P227219501e_name > list_P227219501e_name > $o] :
( ( ( ~ ! [SY481: list_P227219501e_name] : ( SV80 @ nil_Pr743626285e_name @ SY481 ) )
= $true )
| ( ( ~ ! [SY482: produc367475239e_name,SY483: list_P227219501e_name,SY484: list_P227219501e_name] :
( ~ ( SV80 @ SY484 @ SY483 )
| ( SV80 @ ( cons_P1213805021e_name @ SY482 @ SY483 ) @ SY484 ) )
| ( SV80 @ SV153 @ SV211 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[881]) ).
thf(942,plain,
! [SV230: name,SV212: name,SV155: name,SV82: name] :
( ( ( ( produc1570949143e_name @ SV82 @ SV155 )
= ( produc1570949143e_name @ SV212 @ SV230 ) )
= ( ~ ( ( SV82 != SV212 )
| ( SV155 != SV230 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[883]) ).
thf(943,plain,
! [SV83: produc367475239e_name] :
( ( ~ ! [SY664: name] :
( SV83
!= ( produc1570949143e_name @ ( sK2_SY489 @ SV83 ) @ SY664 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[884]) ).
thf(944,plain,
! [SV84: list_P227219501e_name] :
( ( ( ( SV84 != nil_Pr743626285e_name )
| ~ ! [SY491: produc367475239e_name] :
~ ~ ! [SY492: list_P227219501e_name] :
( SV84
!= ( cons_P1213805021e_name @ SY491 @ SY492 ) ) )
= $false )
| ( ( ~ ( ~ ( ( SV84 != nil_Pr743626285e_name ) )
| ~ ~ ! [SY491: produc367475239e_name] :
~ ~ ! [SY492: list_P227219501e_name] :
( SV84
!= ( cons_P1213805021e_name @ SY491 @ SY492 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[885]) ).
thf(945,plain,
! [SV85: list_P227219501e_name] :
( ( ( SV85 = nil_Pr743626285e_name )
= $true )
| ( ( ~ ! [SY493: produc367475239e_name,SY494: list_P227219501e_name] :
( SV85
!= ( cons_P1213805021e_name @ SY493 @ SY494 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[886]) ).
thf(946,plain,
! [SV231: list_P227219501e_name,SV213: produc367475239e_name,SV156: list_P227219501e_name,SV86: produc367475239e_name] :
( ( ( ( cons_P1213805021e_name @ SV86 @ SV156 )
= ( cons_P1213805021e_name @ SV213 @ SV231 ) )
= ( ~ ( ( SV86 != SV213 )
| ( SV156 != SV231 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[887]) ).
thf(947,plain,
! [SV232: pi,SV214: pi,SV157: list_P227219501e_name,SV87: $o] :
( ( ~ ( ~ ( ~ SV87
| ( ( perm_name_pi @ SV157 @ ( if_pi @ SV87 @ SV214 @ SV232 ) )
= ( perm_name_pi @ SV157 @ SV214 ) ) )
| ~ ( ~ ~ SV87
| ( ( perm_name_pi @ SV157 @ ( if_pi @ SV87 @ SV214 @ SV232 ) )
= ( perm_name_pi @ SV157 @ SV232 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[888]) ).
thf(948,plain,
! [SV233: pi,SV215: pi,SV158: list_P227219501e_name] :
( ( ~ ( ~ ( ~ $true
| ( ( perm_name_pi @ SV158 @ ( if_pi @ $true @ SV215 @ SV233 ) )
= ( perm_name_pi @ SV158 @ SV215 ) ) )
| ~ ( ~ ~ $true
| ( ( perm_name_pi @ SV158 @ ( if_pi @ $true @ SV215 @ SV233 ) )
= ( perm_name_pi @ SV158 @ SV233 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[889]) ).
thf(949,plain,
! [SV234: pi,SV216: pi,SV159: list_P227219501e_name] :
( ( ~ ( ~ ( ~ $false
| ( ( perm_name_pi @ SV159 @ ( if_pi @ $false @ SV216 @ SV234 ) )
= ( perm_name_pi @ SV159 @ SV216 ) ) )
| ~ ( ~ ~ $false
| ( ( perm_name_pi @ SV159 @ ( if_pi @ $false @ SV216 @ SV234 ) )
= ( perm_name_pi @ SV159 @ SV234 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[890]) ).
thf(950,plain,
! [SV235: pi,SV217: pi,SV160: late_freeRes,SV88: pi] :
( ( ~ ( late_transitions @ SV88 @ ( late_FreeR @ SV160 @ SV217 ) )
| ( late_transitions @ ( par @ SV88 @ SV235 ) @ ( late_FreeR @ SV160 @ ( par @ SV217 @ SV235 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[891]) ).
thf(951,plain,
! [SV236: pi,SV218: pi,SV161: late_freeRes,SV89: pi] :
( ( ~ ( late_transitions @ SV89 @ ( late_FreeR @ SV161 @ SV218 ) )
| ( late_transitions @ ( par @ SV236 @ SV89 ) @ ( late_FreeR @ SV161 @ ( par @ SV236 @ SV218 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[892]) ).
thf(952,plain,
! [SV219: list_P227219501e_name,SV162: produc367475239e_name > produc367475239e_name > $o,SV90: ( produc367475239e_name > produc367475239e_name > $o ) > list_P227219501e_name > $o] :
( ( ( ~ ! [SY509: produc367475239e_name > produc367475239e_name > $o] : ( SV90 @ SY509 @ nil_Pr743626285e_name ) )
= $true )
| ( ( ~ ! [SY510: produc367475239e_name > produc367475239e_name > $o,SY511: produc367475239e_name,SY512: list_P227219501e_name] :
( ~ ( SV90 @ SY510 @ SY512 )
| ( SV90 @ SY510 @ ( cons_P1213805021e_name @ SY511 @ SY512 ) ) )
| ( SV90 @ SV162 @ SV219 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[893]) ).
thf(953,plain,
! [SV220: list_P227219501e_name,SV163: pi,SV91: pi] :
( ( ( SV91 != SV163 )
= $true )
| ( ( ( perm_name_pi @ SV220 @ SV91 )
= ( perm_name_pi @ SV220 @ SV163 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[894]) ).
thf(954,plain,
! [SV165: list_P227219501e_name,SV93: list_P227219501e_name > $o] :
( ( ( SV93 @ nil_Pr743626285e_name )
= $false )
| ( ( ~ ! [SY517: produc367475239e_name] : ( SV93 @ ( cons_P1213805021e_name @ SY517 @ nil_Pr743626285e_name ) )
| ~ ! [SY518: produc367475239e_name,SY519: produc367475239e_name,SY520: list_P227219501e_name] :
( ~ ( SV93 @ SY520 )
| ~ ( SV93 @ ( cons_P1213805021e_name @ SY519 @ SY520 ) )
| ( SV93 @ ( cons_P1213805021e_name @ SY518 @ ( cons_P1213805021e_name @ SY519 @ SY520 ) ) ) )
| ( SV93 @ SV165 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[896]) ).
thf(955,plain,
! [SV190: pi,SV125: pi,SV42: list_P227219501e_name] :
( ( ( ~ ( ( ( perm_name_pi @ SV42 @ SV125 )
= ( perm_name_pi @ SV42 @ SV190 ) )
| ( SV125 = SV190 ) ) )
= $true )
| ( ( ~ ( ( ( perm_name_pi @ SV42 @ SV125 )
!= ( perm_name_pi @ SV42 @ SV190 ) )
| ( SV125 != SV190 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[897]) ).
thf(956,plain,
! [SV191: pi,SV126: pi,SV43: list_P227219501e_name] :
( ( ( ~ ( ( perm_name_o @ SV43 @ ( SV126 = SV191 ) )
| ( ( perm_name_pi @ SV43 @ SV126 )
= ( perm_name_pi @ SV43 @ SV191 ) ) ) )
= $true )
| ( ( ~ ( ~ ( perm_name_o @ SV43 @ ( SV126 = SV191 ) )
| ( ( perm_name_pi @ SV43 @ SV126 )
!= ( perm_name_pi @ SV43 @ SV191 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[899]) ).
thf(957,plain,
! [SV237: pi,SV221: late_freeRes,SV193: pi,SV128: name,SV45: name] :
( ( ~ ( late_transitions @ ( input @ SV45 @ SV128 @ SV193 ) @ ( late_FreeR @ SV221 @ SV237 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[901]) ).
thf(958,plain,
! [SV47: $o] :
( ( ( SV47
| $true )
= $false )
| ( ( ~ ( ~ SV47
| ~ $true ) )
= $true )
| ( ( SV47 = $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[902]) ).
thf(959,plain,
! [SV47: $o] :
( ( ( ~ ( SV47
| $false ) )
= $true )
| ( ( ~ ( ~ SV47
| ~ $false ) )
= $true )
| ( ( SV47 = $true )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[903]) ).
thf(960,plain,
( ( ( $true
| $true )
= $false )
| ( ( ~ ( ~ $true
| ~ $true ) )
= $true )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[905]) ).
thf(961,plain,
( ( ( ~ ( $true
| $false ) )
= $true )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[906]) ).
thf(962,plain,
( ( ( $false
| $true )
= $false )
| ( ( ~ ( ~ $false
| ~ $true ) )
= $true )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[908]) ).
thf(963,plain,
( ( ( ~ ( $false
| $false ) )
= $true )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[909]) ).
thf(964,plain,
! [SV222: name,SV194: name,SV129: name,SV48: name] :
( ( ~ ( ( ( late_OutputR @ SV48 @ SV129 )
= ( late_OutputR @ SV194 @ SV222 ) )
| ~ ( ( SV48 != SV194 )
| ( SV129 != SV222 ) ) )
| ~ ( ( ( late_OutputR @ SV48 @ SV129 )
!= ( late_OutputR @ SV194 @ SV222 ) )
| ~ ~ ( ( SV48 != SV194 )
| ( SV129 != SV222 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[911]) ).
thf(965,plain,
! [SV222: name,SV194: name,SV129: name,SV48: name] :
( ( ( ( late_OutputR @ SV48 @ SV129 )
= ( late_OutputR @ SV194 @ SV222 ) )
= ( ~ ( ( SV48 != SV194 )
| ( SV129 != SV222 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[911]) ).
thf(966,plain,
! [SV223: name,SV195: pi,SV130: name,SV50: name] :
( ( ( ~ ( ( SV50 != SV130 ) ) )
= $true )
| ( ( ~ ( fresh_name_pi @ SV130 @ SV195 )
| ~ ( fresh_name_pi @ SV50 @ SV195 )
| ( fresh_name_pi @ SV50 @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV130 @ SV223 ) @ nil_Pr743626285e_name ) @ SV195 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[913]) ).
thf(967,plain,
! [SV51: produc367475239e_name] :
( ( SV51
= ( produc1570949143e_name @ ( sK1_SY379 @ SV51 ) @ ( sK4_SY637 @ SV51 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[914]) ).
thf(968,plain,
! [SV52: produc890461031e_name] :
( ( ( SV52
= ( produc208131031e_name @ nil_Pr743626285e_name @ ( sK5_SY381 @ SV52 ) ) )
= $true )
| ( ( ~ ! [SY382: list_P227219501e_name] :
( SV52
!= ( produc208131031e_name @ SY382 @ nil_Pr743626285e_name ) )
| ~ ! [SY383: produc367475239e_name,SY384: list_P227219501e_name,SY385: produc367475239e_name,SY386: list_P227219501e_name] :
( SV52
!= ( produc208131031e_name @ ( cons_P1213805021e_name @ SY383 @ SY384 ) @ ( cons_P1213805021e_name @ SY385 @ SY386 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[915]) ).
thf(969,plain,
! [SV53: produc890461031e_name] :
( ( ( SV53
= ( produc208131031e_name @ nil_Pr743626285e_name @ ( sK6_SY387 @ SV53 ) ) )
= $true )
| ( ( ~ ! [SY388: produc367475239e_name,SY389: list_P227219501e_name,SY390: list_P227219501e_name] :
( SV53
!= ( produc208131031e_name @ ( cons_P1213805021e_name @ SY388 @ SY389 ) @ SY390 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[916]) ).
thf(970,plain,
! [SV131: late_freeRes,SV54: late_freeRes > $o] :
( ( ( ! [SY678: name] : ( SV54 @ ( late_OutputR @ ( sK10_SY392 @ SV131 @ SV54 ) @ SY678 ) ) )
= $false )
| ( ( ~ ( SV54 @ late_TauR )
| ( SV54 @ SV131 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[917]) ).
thf(971,plain,
! [SV132: produc367475239e_name,SV55: produc367475239e_name > $o] :
( ( ( ! [SY679: name] : ( SV55 @ ( produc1570949143e_name @ ( sK11_SY395 @ SV132 @ SV55 ) @ SY679 ) ) )
= $false )
| ( ( SV55 @ SV132 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[918]) ).
thf(972,plain,
! [SV238: pi,SV224: late_freeRes,SV196: pi,SV133: name,SV56: late_subject] :
( ( ( late_BoundR @ SV56 @ SV133 @ SV196 )
!= ( late_FreeR @ SV224 @ SV238 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[919]) ).
thf(973,plain,
! [SV225: pi,SV197: late_freeRes,SV134: pi,SV57: late_freeRes] :
( ( ~ ( ( ( late_FreeR @ SV57 @ SV134 )
= ( late_FreeR @ SV197 @ SV225 ) )
| ~ ( ( SV57 != SV197 )
| ( SV134 != SV225 ) ) )
| ~ ( ( ( late_FreeR @ SV57 @ SV134 )
!= ( late_FreeR @ SV197 @ SV225 ) )
| ~ ~ ( ( SV57 != SV197 )
| ( SV134 != SV225 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[920]) ).
thf(974,plain,
! [SV225: pi,SV197: late_freeRes,SV134: pi,SV57: late_freeRes] :
( ( ( ( late_FreeR @ SV57 @ SV134 )
= ( late_FreeR @ SV197 @ SV225 ) )
= ( ~ ( ( SV57 != SV197 )
| ( SV134 != SV225 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[920]) ).
thf(975,plain,
! [SV135: late_residual,SV58: late_residual > $o] :
( ( ( ! [SY680: name,SY681: pi] : ( SV58 @ ( late_BoundR @ ( sK12_SY405 @ SV135 @ SV58 ) @ SY680 @ SY681 ) ) )
= $false )
| ( ( ~ ! [SY408: late_freeRes,SY409: pi] : ( SV58 @ ( late_FreeR @ SY408 @ SY409 ) )
| ( SV58 @ SV135 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[921]) ).
thf(976,plain,
! [SV136: produc367475239e_name,SV59: produc367475239e_name > $o] :
( ( ( ! [SY682: name] : ( SV59 @ ( produc1570949143e_name @ ( sK13_SY411 @ SV136 @ SV59 ) @ SY682 ) ) )
= $false )
| ( ( SV59 @ SV136 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[922]) ).
thf(977,plain,
! [SV198: name,SV137: pi,SV60: name] :
( ( ( fresh_name_pi @ SV60 @ SV137 )
= $false )
| ( ( ~ ( fresh_name_pi @ SV198 @ SV137 )
| ( ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV60 @ SV198 ) @ nil_Pr743626285e_name ) @ SV137 )
= SV137 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[923]) ).
thf(978,plain,
! [SV199: list_P227219501e_name,SV139: late_residual,SV62: pi] :
( ( ( late_transitions @ SV62 @ SV139 )
= $false )
| ( ( late_transitions @ ( perm_name_pi @ SV199 @ SV62 ) @ ( perm_n414416632sidual @ SV199 @ SV139 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[924]) ).
thf(979,plain,
! [SV226: name,SV200: name,SV140: name,SV63: name] :
( ( ~ ( ( ( late_OutputR @ SV63 @ SV140 )
= ( late_OutputR @ SV200 @ SV226 ) )
| ~ ( ( SV63 != SV200 )
| ( SV140 != SV226 ) ) )
| ~ ( ( ( late_OutputR @ SV63 @ SV140 )
!= ( late_OutputR @ SV200 @ SV226 ) )
| ~ ~ ( ( SV63 != SV200 )
| ( SV140 != SV226 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[925]) ).
thf(980,plain,
! [SV226: name,SV200: name,SV140: name,SV63: name] :
( ( ( ( late_OutputR @ SV63 @ SV140 )
= ( late_OutputR @ SV200 @ SV226 ) )
= ( ~ ( ( SV63 != SV200 )
| ( SV140 != SV226 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[925]) ).
thf(981,plain,
! [SV64: produc1872410278e_name] :
( ( ( SV64
= ( produc1069608854e_name @ ( sK7_SY421 @ SV64 ) @ nil_Pr743626285e_name ) )
= $true )
| ( ( ~ ! [SY422: produc367475239e_name > produc367475239e_name > $o,SY423: produc367475239e_name] :
( SV64
!= ( produc1069608854e_name @ SY422 @ ( cons_P1213805021e_name @ SY423 @ nil_Pr743626285e_name ) ) )
| ~ ! [SY424: produc367475239e_name > produc367475239e_name > $o,SY425: produc367475239e_name,SY426: produc367475239e_name,SY427: list_P227219501e_name] :
( SV64
!= ( produc1069608854e_name @ SY424 @ ( cons_P1213805021e_name @ SY425 @ ( cons_P1213805021e_name @ SY426 @ SY427 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[926]) ).
thf(982,plain,
! [SV65: produc1872410278e_name] :
( ( ( SV65
= ( produc1069608854e_name @ ( sK8_SY428 @ SV65 ) @ nil_Pr743626285e_name ) )
= $true )
| ( ( ~ ! [SY429: produc367475239e_name > produc367475239e_name > $o,SY430: produc367475239e_name,SY431: list_P227219501e_name] :
( SV65
!= ( produc1069608854e_name @ SY429 @ ( cons_P1213805021e_name @ SY430 @ SY431 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[927]) ).
thf(983,plain,
! [SV141: list_P227219501e_name,SV66: list_P227219501e_name > $o] :
( ( ( ~ ! [SY433: produc367475239e_name,SY434: list_P227219501e_name] :
( ~ ( SV66 @ SY434 )
| ( SV66 @ ( cons_P1213805021e_name @ SY433 @ SY434 ) ) ) )
= $true )
| ( ( SV66 @ SV141 )
= $true )
| ( ( SV66 @ nil_Pr743626285e_name )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[928]) ).
thf(984,plain,
! [SV67: late_freeRes] :
( ( ( SV67
!= ( late_OutputR @ ( sK9_SY435 @ SV67 ) @ ( sK14_SY677 @ SV67 ) ) )
= $false )
| ( ( SV67 = late_TauR )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[929]) ).
thf(985,plain,
! [SV201: list_P227219501e_name,SV143: list_P227219501e_name,SV69: list_P227219501e_name > list_P227219501e_name > $o] :
( ( ( SV69 @ nil_Pr743626285e_name @ nil_Pr743626285e_name )
= $false )
| ( ( ~ ! [SY440: produc367475239e_name,SY441: list_P227219501e_name] : ( SV69 @ ( cons_P1213805021e_name @ SY440 @ SY441 ) @ nil_Pr743626285e_name )
| ~ ! [SY442: produc367475239e_name,SY443: list_P227219501e_name] : ( SV69 @ nil_Pr743626285e_name @ ( cons_P1213805021e_name @ SY442 @ SY443 ) )
| ~ ! [SY444: produc367475239e_name,SY445: list_P227219501e_name,SY446: produc367475239e_name,SY447: list_P227219501e_name] :
( ~ ( SV69 @ SY445 @ SY447 )
| ( SV69 @ ( cons_P1213805021e_name @ SY444 @ SY445 ) @ ( cons_P1213805021e_name @ SY446 @ SY447 ) ) )
| ( SV69 @ SV143 @ SV201 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[930]) ).
thf(986,plain,
! [SV202: name,SV144: pi,SV70: name] :
( ( ( fresh_name_pi @ SV70 @ SV144 )
= $false )
| ( ( ~ ( fresh_name_pi @ SV202 @ SV144 )
| ( ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV70 @ SV202 ) @ nil_Pr743626285e_name ) @ SV144 )
= SV144 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[931]) ).
thf(987,plain,
! [SV227: name,SV203: name,SV145: name,SV71: name] :
( ( ~ ( ( ( produc1570949143e_name @ SV71 @ SV145 )
= ( produc1570949143e_name @ SV203 @ SV227 ) )
| ~ ( ( SV71 != SV203 )
| ( SV145 != SV227 ) ) )
| ~ ( ( ( produc1570949143e_name @ SV71 @ SV145 )
!= ( produc1570949143e_name @ SV203 @ SV227 ) )
| ~ ~ ( ( SV71 != SV203 )
| ( SV145 != SV227 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[932]) ).
thf(988,plain,
! [SV227: name,SV203: name,SV145: name,SV71: name] :
( ( ( ( produc1570949143e_name @ SV71 @ SV145 )
= ( produc1570949143e_name @ SV203 @ SV227 ) )
= ( ~ ( ( SV71 != SV203 )
| ( SV145 != SV227 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[932]) ).
thf(989,plain,
! [SV204: name,SV146: name,SV72: name] :
( ( ~ ( ( SV72 != SV146 )
| ( ( swap_name2 @ ( produc1570949143e_name @ SV72 @ SV204 ) @ SV146 )
= SV204 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[933]) ).
thf(990,plain,
! [SV204: name,SV146: name,SV72: name] :
( ( ~ ( ~ ( ( SV72 != SV146 ) )
| ~ ( ~ ( ( SV204 != SV146 )
| ( ( swap_name2 @ ( produc1570949143e_name @ SV72 @ SV204 ) @ SV146 )
= SV72 ) )
| ~ ( ~ ( ( SV204 != SV146 ) )
| ( ( swap_name2 @ ( produc1570949143e_name @ SV72 @ SV204 ) @ SV146 )
= SV146 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[933]) ).
thf(991,plain,
! [SV205: name,SV147: name,SV73: name] :
( ( ( SV73 != SV147 )
= $false )
| ( ( ~ ( ( SV205 != SV147 ) )
| ( ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV73 @ SV205 ) @ nil_Pr743626285e_name ) @ SV147 )
= SV147 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[934]) ).
thf(992,plain,
! [SV228: name,SV206: name,SV148: name,SV74: name] :
( ( ( ( produc1570949143e_name @ SV74 @ SV148 )
!= ( produc1570949143e_name @ SV206 @ SV228 ) )
= $true )
| ( ( ~ ( ( SV74 != SV206 )
| ( SV148 != SV228 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[935]) ).
thf(993,plain,
! [SV75: list_P227219501e_name] :
( ( ( ~ ! [SY460: produc367475239e_name] :
( SV75
!= ( cons_P1213805021e_name @ SY460 @ nil_Pr743626285e_name ) ) )
= $true )
| ( ( ~ ! [SY461: produc367475239e_name,SY462: produc367475239e_name,SY463: list_P227219501e_name] :
( SV75
!= ( cons_P1213805021e_name @ SY461 @ ( cons_P1213805021e_name @ SY462 @ SY463 ) ) ) )
= $true )
| ( ( SV75 = nil_Pr743626285e_name )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[936]) ).
thf(994,plain,
! [SV207: list_P227219501e_name,SV149: produc367475239e_name,SV76: list_P227219501e_name] :
( ( ( SV76
= ( cons_P1213805021e_name @ SV149 @ SV207 ) )
= $false )
| ( ( SV76 != nil_Pr743626285e_name )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[937]) ).
thf(995,plain,
! [SV208: list_P227219501e_name,SV150: list_P227219501e_name,SV77: list_P227219501e_name > list_P227219501e_name > $o] :
( ( ( ! [SY468: list_P227219501e_name] : ( SV77 @ nil_Pr743626285e_name @ SY468 ) )
= $false )
| ( ( ~ ! [SY469: list_P227219501e_name] : ( SV77 @ SY469 @ nil_Pr743626285e_name )
| ~ ! [SY470: produc367475239e_name,SY471: list_P227219501e_name,SY472: produc367475239e_name,SY473: list_P227219501e_name] :
( ~ ( SV77 @ SY471 @ ( cons_P1213805021e_name @ SY472 @ SY473 ) )
| ~ ( SV77 @ ( cons_P1213805021e_name @ SY470 @ SY471 ) @ SY473 )
| ( SV77 @ ( cons_P1213805021e_name @ SY470 @ SY471 ) @ ( cons_P1213805021e_name @ SY472 @ SY473 ) ) )
| ( SV77 @ SV150 @ SV208 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[938]) ).
thf(996,plain,
! [SV229: name,SV209: pi,SV151: late_freeRes,SV78: pi] :
( ( ( ~ ( late_transitions @ SV78 @ ( late_FreeR @ SV151 @ SV209 ) ) )
= $true )
| ( ( ~ ( fresh_name_pi @ SV229 @ SV78 )
| ( fresh_name_pi @ SV229 @ SV209 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[939]) ).
thf(997,plain,
! [SV210: name,SV152: name,SV79: name] :
( ( ~ ( ( SV79 != SV152 )
| ( ( swap_name @ ( produc1570949143e_name @ SV79 @ SV210 ) @ SV152 )
= SV210 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[940]) ).
thf(998,plain,
! [SV210: name,SV152: name,SV79: name] :
( ( ~ ( ~ ( ( SV79 != SV152 ) )
| ~ ( ~ ( ( SV210 != SV152 )
| ( ( swap_name @ ( produc1570949143e_name @ SV79 @ SV210 ) @ SV152 )
= SV79 ) )
| ~ ( ~ ( ( SV210 != SV152 ) )
| ( ( swap_name @ ( produc1570949143e_name @ SV79 @ SV210 ) @ SV152 )
= SV152 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[940]) ).
thf(999,plain,
! [SV211: list_P227219501e_name,SV153: list_P227219501e_name,SV80: list_P227219501e_name > list_P227219501e_name > $o] :
( ( ( ! [SY481: list_P227219501e_name] : ( SV80 @ nil_Pr743626285e_name @ SY481 ) )
= $false )
| ( ( ~ ! [SY482: produc367475239e_name,SY483: list_P227219501e_name,SY484: list_P227219501e_name] :
( ~ ( SV80 @ SY484 @ SY483 )
| ( SV80 @ ( cons_P1213805021e_name @ SY482 @ SY483 ) @ SY484 ) )
| ( SV80 @ SV153 @ SV211 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[941]) ).
thf(1000,plain,
! [SV230: name,SV212: name,SV155: name,SV82: name] :
( ( ~ ( ( ( produc1570949143e_name @ SV82 @ SV155 )
= ( produc1570949143e_name @ SV212 @ SV230 ) )
| ~ ( ( SV82 != SV212 )
| ( SV155 != SV230 ) ) )
| ~ ( ( ( produc1570949143e_name @ SV82 @ SV155 )
!= ( produc1570949143e_name @ SV212 @ SV230 ) )
| ~ ~ ( ( SV82 != SV212 )
| ( SV155 != SV230 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[942]) ).
thf(1001,plain,
! [SV230: name,SV212: name,SV155: name,SV82: name] :
( ( ( ( produc1570949143e_name @ SV82 @ SV155 )
= ( produc1570949143e_name @ SV212 @ SV230 ) )
= ( ~ ( ( SV82 != SV212 )
| ( SV155 != SV230 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[942]) ).
thf(1002,plain,
! [SV83: produc367475239e_name] :
( ( ! [SY664: name] :
( SV83
!= ( produc1570949143e_name @ ( sK2_SY489 @ SV83 ) @ SY664 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[943]) ).
thf(1003,plain,
! [SV84: list_P227219501e_name] :
( ( ( SV84 != nil_Pr743626285e_name )
= $false )
| ( ( ~ ( ~ ( ( SV84 != nil_Pr743626285e_name ) )
| ~ ~ ! [SY491: produc367475239e_name] :
~ ~ ! [SY492: list_P227219501e_name] :
( SV84
!= ( cons_P1213805021e_name @ SY491 @ SY492 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[944]) ).
thf(1004,plain,
! [SV84: list_P227219501e_name] :
( ( ( ~ ! [SY491: produc367475239e_name] :
~ ~ ! [SY492: list_P227219501e_name] :
( SV84
!= ( cons_P1213805021e_name @ SY491 @ SY492 ) ) )
= $false )
| ( ( ~ ( ~ ( ( SV84 != nil_Pr743626285e_name ) )
| ~ ~ ! [SY491: produc367475239e_name] :
~ ~ ! [SY492: list_P227219501e_name] :
( SV84
!= ( cons_P1213805021e_name @ SY491 @ SY492 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[944]) ).
thf(1005,plain,
! [SV85: list_P227219501e_name] :
( ( ( ! [SY493: produc367475239e_name,SY494: list_P227219501e_name] :
( SV85
!= ( cons_P1213805021e_name @ SY493 @ SY494 ) ) )
= $false )
| ( ( SV85 = nil_Pr743626285e_name )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[945]) ).
thf(1006,plain,
! [SV231: list_P227219501e_name,SV213: produc367475239e_name,SV156: list_P227219501e_name,SV86: produc367475239e_name] :
( ( ~ ( ( ( cons_P1213805021e_name @ SV86 @ SV156 )
= ( cons_P1213805021e_name @ SV213 @ SV231 ) )
| ~ ( ( SV86 != SV213 )
| ( SV156 != SV231 ) ) )
| ~ ( ( ( cons_P1213805021e_name @ SV86 @ SV156 )
!= ( cons_P1213805021e_name @ SV213 @ SV231 ) )
| ~ ~ ( ( SV86 != SV213 )
| ( SV156 != SV231 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[946]) ).
thf(1007,plain,
! [SV231: list_P227219501e_name,SV213: produc367475239e_name,SV156: list_P227219501e_name,SV86: produc367475239e_name] :
( ( ( ( cons_P1213805021e_name @ SV86 @ SV156 )
= ( cons_P1213805021e_name @ SV213 @ SV231 ) )
= ( ~ ( ( SV86 != SV213 )
| ( SV156 != SV231 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[946]) ).
thf(1008,plain,
! [SV232: pi,SV214: pi,SV157: list_P227219501e_name,SV87: $o] :
( ( ~ ( ~ SV87
| ( ( perm_name_pi @ SV157 @ ( if_pi @ SV87 @ SV214 @ SV232 ) )
= ( perm_name_pi @ SV157 @ SV214 ) ) )
| ~ ( ~ ~ SV87
| ( ( perm_name_pi @ SV157 @ ( if_pi @ SV87 @ SV214 @ SV232 ) )
= ( perm_name_pi @ SV157 @ SV232 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[947]) ).
thf(1009,plain,
! [SV233: pi,SV215: pi,SV158: list_P227219501e_name] :
( ( ~ ( ~ $true
| ( ( perm_name_pi @ SV158 @ ( if_pi @ $true @ SV215 @ SV233 ) )
= ( perm_name_pi @ SV158 @ SV215 ) ) )
| ~ ( ~ ~ $true
| ( ( perm_name_pi @ SV158 @ ( if_pi @ $true @ SV215 @ SV233 ) )
= ( perm_name_pi @ SV158 @ SV233 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[948]) ).
thf(1010,plain,
! [SV234: pi,SV216: pi,SV159: list_P227219501e_name] :
( ( ~ ( ~ $false
| ( ( perm_name_pi @ SV159 @ ( if_pi @ $false @ SV216 @ SV234 ) )
= ( perm_name_pi @ SV159 @ SV216 ) ) )
| ~ ( ~ ~ $false
| ( ( perm_name_pi @ SV159 @ ( if_pi @ $false @ SV216 @ SV234 ) )
= ( perm_name_pi @ SV159 @ SV234 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[949]) ).
thf(1011,plain,
! [SV235: pi,SV217: pi,SV160: late_freeRes,SV88: pi] :
( ( ( ~ ( late_transitions @ SV88 @ ( late_FreeR @ SV160 @ SV217 ) ) )
= $true )
| ( ( late_transitions @ ( par @ SV88 @ SV235 ) @ ( late_FreeR @ SV160 @ ( par @ SV217 @ SV235 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[950]) ).
thf(1012,plain,
! [SV236: pi,SV218: pi,SV161: late_freeRes,SV89: pi] :
( ( ( ~ ( late_transitions @ SV89 @ ( late_FreeR @ SV161 @ SV218 ) ) )
= $true )
| ( ( late_transitions @ ( par @ SV236 @ SV89 ) @ ( late_FreeR @ SV161 @ ( par @ SV236 @ SV218 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[951]) ).
thf(1013,plain,
! [SV219: list_P227219501e_name,SV162: produc367475239e_name > produc367475239e_name > $o,SV90: ( produc367475239e_name > produc367475239e_name > $o ) > list_P227219501e_name > $o] :
( ( ( ! [SY509: produc367475239e_name > produc367475239e_name > $o] : ( SV90 @ SY509 @ nil_Pr743626285e_name ) )
= $false )
| ( ( ~ ! [SY510: produc367475239e_name > produc367475239e_name > $o,SY511: produc367475239e_name,SY512: list_P227219501e_name] :
( ~ ( SV90 @ SY510 @ SY512 )
| ( SV90 @ SY510 @ ( cons_P1213805021e_name @ SY511 @ SY512 ) ) )
| ( SV90 @ SV162 @ SV219 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[952]) ).
thf(1014,plain,
! [SV220: list_P227219501e_name,SV163: pi,SV91: pi] :
( ( ( SV91 = SV163 )
= $false )
| ( ( ( perm_name_pi @ SV220 @ SV91 )
= ( perm_name_pi @ SV220 @ SV163 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[953]) ).
thf(1015,plain,
! [SV165: list_P227219501e_name,SV93: list_P227219501e_name > $o] :
( ( ( ~ ! [SY517: produc367475239e_name] : ( SV93 @ ( cons_P1213805021e_name @ SY517 @ nil_Pr743626285e_name ) ) )
= $true )
| ( ( ~ ! [SY518: produc367475239e_name,SY519: produc367475239e_name,SY520: list_P227219501e_name] :
( ~ ( SV93 @ SY520 )
| ~ ( SV93 @ ( cons_P1213805021e_name @ SY519 @ SY520 ) )
| ( SV93 @ ( cons_P1213805021e_name @ SY518 @ ( cons_P1213805021e_name @ SY519 @ SY520 ) ) ) )
| ( SV93 @ SV165 ) )
= $true )
| ( ( SV93 @ nil_Pr743626285e_name )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[954]) ).
thf(1016,plain,
! [SV190: pi,SV125: pi,SV42: list_P227219501e_name] :
( ( ( ( ( perm_name_pi @ SV42 @ SV125 )
= ( perm_name_pi @ SV42 @ SV190 ) )
| ( SV125 = SV190 ) )
= $false )
| ( ( ~ ( ( ( perm_name_pi @ SV42 @ SV125 )
!= ( perm_name_pi @ SV42 @ SV190 ) )
| ( SV125 != SV190 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[955]) ).
thf(1017,plain,
! [SV191: pi,SV126: pi,SV43: list_P227219501e_name] :
( ( ( ( perm_name_o @ SV43 @ ( SV126 = SV191 ) )
| ( ( perm_name_pi @ SV43 @ SV126 )
= ( perm_name_pi @ SV43 @ SV191 ) ) )
= $false )
| ( ( ~ ( ~ ( perm_name_o @ SV43 @ ( SV126 = SV191 ) )
| ( ( perm_name_pi @ SV43 @ SV126 )
!= ( perm_name_pi @ SV43 @ SV191 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[956]) ).
thf(1018,plain,
! [SV237: pi,SV221: late_freeRes,SV193: pi,SV128: name,SV45: name] :
( ( late_transitions @ ( input @ SV45 @ SV128 @ SV193 ) @ ( late_FreeR @ SV221 @ SV237 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[957]) ).
thf(1019,plain,
! [SV47: $o] :
( ( SV47 = $false )
| ( ( ~ ( ~ SV47
| ~ $true ) )
= $true )
| ( ( SV47 = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[958]) ).
thf(1020,plain,
! [SV47: $o] :
( ( $true = $false )
| ( ( ~ ( ~ SV47
| ~ $true ) )
= $true )
| ( ( SV47 = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[958]) ).
thf(1021,plain,
! [SV47: $o] :
( ( ( SV47
| $false )
= $false )
| ( ( ~ ( ~ SV47
| ~ $false ) )
= $true )
| ( ( SV47 = $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[959]) ).
thf(1022,plain,
( ( $true = $false )
| ( ( ~ ( ~ $true
| ~ $true ) )
= $true )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[960]) ).
thf(1023,plain,
( ( $true = $false )
| ( ( ~ ( ~ $true
| ~ $true ) )
= $true )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[960]) ).
thf(1024,plain,
( ( ( $true
| $false )
= $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[961]) ).
thf(1025,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $true ) )
= $true )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[962]) ).
thf(1026,plain,
( ( $true = $false )
| ( ( ~ ( ~ $false
| ~ $true ) )
= $true )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[962]) ).
thf(1027,plain,
( ( ( $false
| $false )
= $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[963]) ).
thf(1028,plain,
! [SV222: name,SV194: name,SV129: name,SV48: name] :
( ( ( ~ ( ( ( late_OutputR @ SV48 @ SV129 )
= ( late_OutputR @ SV194 @ SV222 ) )
| ~ ( ( SV48 != SV194 )
| ( SV129 != SV222 ) ) ) )
= $true )
| ( ( ~ ( ( ( late_OutputR @ SV48 @ SV129 )
!= ( late_OutputR @ SV194 @ SV222 ) )
| ~ ~ ( ( SV48 != SV194 )
| ( SV129 != SV222 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[964]) ).
thf(1029,plain,
! [SV223: name,SV195: pi,SV130: name,SV50: name] :
( ( ( SV50 != SV130 )
= $false )
| ( ( ~ ( fresh_name_pi @ SV130 @ SV195 )
| ~ ( fresh_name_pi @ SV50 @ SV195 )
| ( fresh_name_pi @ SV50 @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV130 @ SV223 ) @ nil_Pr743626285e_name ) @ SV195 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[966]) ).
thf(1030,plain,
! [SV52: produc890461031e_name] :
( ( ( ~ ! [SY382: list_P227219501e_name] :
( SV52
!= ( produc208131031e_name @ SY382 @ nil_Pr743626285e_name ) ) )
= $true )
| ( ( ~ ! [SY383: produc367475239e_name,SY384: list_P227219501e_name,SY385: produc367475239e_name,SY386: list_P227219501e_name] :
( SV52
!= ( produc208131031e_name @ ( cons_P1213805021e_name @ SY383 @ SY384 ) @ ( cons_P1213805021e_name @ SY385 @ SY386 ) ) ) )
= $true )
| ( ( SV52
= ( produc208131031e_name @ nil_Pr743626285e_name @ ( sK5_SY381 @ SV52 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[968]) ).
thf(1031,plain,
! [SV53: produc890461031e_name] :
( ( ( ! [SY388: produc367475239e_name,SY389: list_P227219501e_name,SY390: list_P227219501e_name] :
( SV53
!= ( produc208131031e_name @ ( cons_P1213805021e_name @ SY388 @ SY389 ) @ SY390 ) ) )
= $false )
| ( ( SV53
= ( produc208131031e_name @ nil_Pr743626285e_name @ ( sK6_SY387 @ SV53 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[969]) ).
thf(1032,plain,
! [SV131: late_freeRes,SV54: late_freeRes > $o] :
( ( ( SV54 @ ( late_OutputR @ ( sK10_SY392 @ SV131 @ SV54 ) @ ( sK15_SY678 @ SV131 @ SV54 ) ) )
= $false )
| ( ( ~ ( SV54 @ late_TauR )
| ( SV54 @ SV131 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[970]) ).
thf(1033,plain,
! [SV132: produc367475239e_name,SV55: produc367475239e_name > $o] :
( ( ( SV55 @ ( produc1570949143e_name @ ( sK11_SY395 @ SV132 @ SV55 ) @ ( sK16_SY679 @ SV132 @ SV55 ) ) )
= $false )
| ( ( SV55 @ SV132 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[971]) ).
thf(1034,plain,
! [SV238: pi,SV224: late_freeRes,SV196: pi,SV133: name,SV56: late_subject] :
( ( ( late_BoundR @ SV56 @ SV133 @ SV196 )
= ( late_FreeR @ SV224 @ SV238 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[972]) ).
thf(1035,plain,
! [SV225: pi,SV197: late_freeRes,SV134: pi,SV57: late_freeRes] :
( ( ( ~ ( ( ( late_FreeR @ SV57 @ SV134 )
= ( late_FreeR @ SV197 @ SV225 ) )
| ~ ( ( SV57 != SV197 )
| ( SV134 != SV225 ) ) ) )
= $true )
| ( ( ~ ( ( ( late_FreeR @ SV57 @ SV134 )
!= ( late_FreeR @ SV197 @ SV225 ) )
| ~ ~ ( ( SV57 != SV197 )
| ( SV134 != SV225 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[973]) ).
thf(1036,plain,
! [SV135: late_residual,SV58: late_residual > $o] :
( ( ( ! [SY683: pi] : ( SV58 @ ( late_BoundR @ ( sK12_SY405 @ SV135 @ SV58 ) @ ( sK17_SY680 @ SV135 @ SV58 ) @ SY683 ) ) )
= $false )
| ( ( ~ ! [SY408: late_freeRes,SY409: pi] : ( SV58 @ ( late_FreeR @ SY408 @ SY409 ) )
| ( SV58 @ SV135 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[975]) ).
thf(1037,plain,
! [SV136: produc367475239e_name,SV59: produc367475239e_name > $o] :
( ( ( SV59 @ ( produc1570949143e_name @ ( sK13_SY411 @ SV136 @ SV59 ) @ ( sK18_SY682 @ SV136 @ SV59 ) ) )
= $false )
| ( ( SV59 @ SV136 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[976]) ).
thf(1038,plain,
! [SV60: name,SV137: pi,SV198: name] :
( ( ( ~ ( fresh_name_pi @ SV198 @ SV137 ) )
= $true )
| ( ( ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV60 @ SV198 ) @ nil_Pr743626285e_name ) @ SV137 )
= SV137 )
= $true )
| ( ( fresh_name_pi @ SV60 @ SV137 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[977]) ).
thf(1039,plain,
! [SV226: name,SV200: name,SV140: name,SV63: name] :
( ( ( ~ ( ( ( late_OutputR @ SV63 @ SV140 )
= ( late_OutputR @ SV200 @ SV226 ) )
| ~ ( ( SV63 != SV200 )
| ( SV140 != SV226 ) ) ) )
= $true )
| ( ( ~ ( ( ( late_OutputR @ SV63 @ SV140 )
!= ( late_OutputR @ SV200 @ SV226 ) )
| ~ ~ ( ( SV63 != SV200 )
| ( SV140 != SV226 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[979]) ).
thf(1040,plain,
! [SV64: produc1872410278e_name] :
( ( ( ~ ! [SY422: produc367475239e_name > produc367475239e_name > $o,SY423: produc367475239e_name] :
( SV64
!= ( produc1069608854e_name @ SY422 @ ( cons_P1213805021e_name @ SY423 @ nil_Pr743626285e_name ) ) ) )
= $true )
| ( ( ~ ! [SY424: produc367475239e_name > produc367475239e_name > $o,SY425: produc367475239e_name,SY426: produc367475239e_name,SY427: list_P227219501e_name] :
( SV64
!= ( produc1069608854e_name @ SY424 @ ( cons_P1213805021e_name @ SY425 @ ( cons_P1213805021e_name @ SY426 @ SY427 ) ) ) ) )
= $true )
| ( ( SV64
= ( produc1069608854e_name @ ( sK7_SY421 @ SV64 ) @ nil_Pr743626285e_name ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[981]) ).
thf(1041,plain,
! [SV65: produc1872410278e_name] :
( ( ( ! [SY429: produc367475239e_name > produc367475239e_name > $o,SY430: produc367475239e_name,SY431: list_P227219501e_name] :
( SV65
!= ( produc1069608854e_name @ SY429 @ ( cons_P1213805021e_name @ SY430 @ SY431 ) ) ) )
= $false )
| ( ( SV65
= ( produc1069608854e_name @ ( sK8_SY428 @ SV65 ) @ nil_Pr743626285e_name ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[982]) ).
thf(1042,plain,
! [SV141: list_P227219501e_name,SV66: list_P227219501e_name > $o] :
( ( ( ! [SY433: produc367475239e_name,SY434: list_P227219501e_name] :
( ~ ( SV66 @ SY434 )
| ( SV66 @ ( cons_P1213805021e_name @ SY433 @ SY434 ) ) ) )
= $false )
| ( ( SV66 @ SV141 )
= $true )
| ( ( SV66 @ nil_Pr743626285e_name )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[983]) ).
thf(1043,plain,
! [SV67: late_freeRes] :
( ( ( SV67
= ( late_OutputR @ ( sK9_SY435 @ SV67 ) @ ( sK14_SY677 @ SV67 ) ) )
= $true )
| ( ( SV67 = late_TauR )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[984]) ).
thf(1044,plain,
! [SV201: list_P227219501e_name,SV143: list_P227219501e_name,SV69: list_P227219501e_name > list_P227219501e_name > $o] :
( ( ( ~ ! [SY440: produc367475239e_name,SY441: list_P227219501e_name] : ( SV69 @ ( cons_P1213805021e_name @ SY440 @ SY441 ) @ nil_Pr743626285e_name ) )
= $true )
| ( ( ~ ! [SY442: produc367475239e_name,SY443: list_P227219501e_name] : ( SV69 @ nil_Pr743626285e_name @ ( cons_P1213805021e_name @ SY442 @ SY443 ) )
| ~ ! [SY444: produc367475239e_name,SY445: list_P227219501e_name,SY446: produc367475239e_name,SY447: list_P227219501e_name] :
( ~ ( SV69 @ SY445 @ SY447 )
| ( SV69 @ ( cons_P1213805021e_name @ SY444 @ SY445 ) @ ( cons_P1213805021e_name @ SY446 @ SY447 ) ) )
| ( SV69 @ SV143 @ SV201 ) )
= $true )
| ( ( SV69 @ nil_Pr743626285e_name @ nil_Pr743626285e_name )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[985]) ).
thf(1045,plain,
! [SV70: name,SV144: pi,SV202: name] :
( ( ( ~ ( fresh_name_pi @ SV202 @ SV144 ) )
= $true )
| ( ( ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV70 @ SV202 ) @ nil_Pr743626285e_name ) @ SV144 )
= SV144 )
= $true )
| ( ( fresh_name_pi @ SV70 @ SV144 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[986]) ).
thf(1046,plain,
! [SV227: name,SV203: name,SV145: name,SV71: name] :
( ( ( ~ ( ( ( produc1570949143e_name @ SV71 @ SV145 )
= ( produc1570949143e_name @ SV203 @ SV227 ) )
| ~ ( ( SV71 != SV203 )
| ( SV145 != SV227 ) ) ) )
= $true )
| ( ( ~ ( ( ( produc1570949143e_name @ SV71 @ SV145 )
!= ( produc1570949143e_name @ SV203 @ SV227 ) )
| ~ ~ ( ( SV71 != SV203 )
| ( SV145 != SV227 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[987]) ).
thf(1047,plain,
! [SV204: name,SV146: name,SV72: name] :
( ( ( SV72 != SV146 )
| ( ( swap_name2 @ ( produc1570949143e_name @ SV72 @ SV204 ) @ SV146 )
= SV204 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[989]) ).
thf(1048,plain,
! [SV204: name,SV146: name,SV72: name] :
( ( ~ ( ( SV72 != SV146 ) )
| ~ ( ~ ( ( SV204 != SV146 )
| ( ( swap_name2 @ ( produc1570949143e_name @ SV72 @ SV204 ) @ SV146 )
= SV72 ) )
| ~ ( ~ ( ( SV204 != SV146 ) )
| ( ( swap_name2 @ ( produc1570949143e_name @ SV72 @ SV204 ) @ SV146 )
= SV146 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[990]) ).
thf(1049,plain,
! [SV205: name,SV147: name,SV73: name] :
( ( ( SV73 = SV147 )
= $true )
| ( ( ~ ( ( SV205 != SV147 ) )
| ( ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV73 @ SV205 ) @ nil_Pr743626285e_name ) @ SV147 )
= SV147 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[991]) ).
thf(1050,plain,
! [SV228: name,SV206: name,SV148: name,SV74: name] :
( ( ( ( produc1570949143e_name @ SV74 @ SV148 )
= ( produc1570949143e_name @ SV206 @ SV228 ) )
= $false )
| ( ( ~ ( ( SV74 != SV206 )
| ( SV148 != SV228 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[992]) ).
thf(1051,plain,
! [SV75: list_P227219501e_name] :
( ( ( ! [SY460: produc367475239e_name] :
( SV75
!= ( cons_P1213805021e_name @ SY460 @ nil_Pr743626285e_name ) ) )
= $false )
| ( ( ~ ! [SY461: produc367475239e_name,SY462: produc367475239e_name,SY463: list_P227219501e_name] :
( SV75
!= ( cons_P1213805021e_name @ SY461 @ ( cons_P1213805021e_name @ SY462 @ SY463 ) ) ) )
= $true )
| ( ( SV75 = nil_Pr743626285e_name )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[993]) ).
thf(1052,plain,
! [SV207: list_P227219501e_name,SV149: produc367475239e_name,SV76: list_P227219501e_name] :
( ( ( SV76 = nil_Pr743626285e_name )
= $false )
| ( ( SV76
= ( cons_P1213805021e_name @ SV149 @ SV207 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[994]) ).
thf(1053,plain,
! [SV150: list_P227219501e_name,SV208: list_P227219501e_name,SV77: list_P227219501e_name > list_P227219501e_name > $o] :
( ( ( SV77 @ nil_Pr743626285e_name @ ( sK19_SY468 @ SV208 @ SV150 @ SV77 ) )
= $false )
| ( ( ~ ! [SY469: list_P227219501e_name] : ( SV77 @ SY469 @ nil_Pr743626285e_name )
| ~ ! [SY470: produc367475239e_name,SY471: list_P227219501e_name,SY472: produc367475239e_name,SY473: list_P227219501e_name] :
( ~ ( SV77 @ SY471 @ ( cons_P1213805021e_name @ SY472 @ SY473 ) )
| ~ ( SV77 @ ( cons_P1213805021e_name @ SY470 @ SY471 ) @ SY473 )
| ( SV77 @ ( cons_P1213805021e_name @ SY470 @ SY471 ) @ ( cons_P1213805021e_name @ SY472 @ SY473 ) ) )
| ( SV77 @ SV150 @ SV208 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[995]) ).
thf(1054,plain,
! [SV229: name,SV209: pi,SV151: late_freeRes,SV78: pi] :
( ( ( late_transitions @ SV78 @ ( late_FreeR @ SV151 @ SV209 ) )
= $false )
| ( ( ~ ( fresh_name_pi @ SV229 @ SV78 )
| ( fresh_name_pi @ SV229 @ SV209 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[996]) ).
thf(1055,plain,
! [SV210: name,SV152: name,SV79: name] :
( ( ( SV79 != SV152 )
| ( ( swap_name @ ( produc1570949143e_name @ SV79 @ SV210 ) @ SV152 )
= SV210 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[997]) ).
thf(1056,plain,
! [SV210: name,SV152: name,SV79: name] :
( ( ~ ( ( SV79 != SV152 ) )
| ~ ( ~ ( ( SV210 != SV152 )
| ( ( swap_name @ ( produc1570949143e_name @ SV79 @ SV210 ) @ SV152 )
= SV79 ) )
| ~ ( ~ ( ( SV210 != SV152 ) )
| ( ( swap_name @ ( produc1570949143e_name @ SV79 @ SV210 ) @ SV152 )
= SV152 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[998]) ).
thf(1057,plain,
! [SV153: list_P227219501e_name,SV211: list_P227219501e_name,SV80: list_P227219501e_name > list_P227219501e_name > $o] :
( ( ( SV80 @ nil_Pr743626285e_name @ ( sK20_SY481 @ SV211 @ SV153 @ SV80 ) )
= $false )
| ( ( ~ ! [SY482: produc367475239e_name,SY483: list_P227219501e_name,SY484: list_P227219501e_name] :
( ~ ( SV80 @ SY484 @ SY483 )
| ( SV80 @ ( cons_P1213805021e_name @ SY482 @ SY483 ) @ SY484 ) )
| ( SV80 @ SV153 @ SV211 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[999]) ).
thf(1058,plain,
! [SV230: name,SV212: name,SV155: name,SV82: name] :
( ( ( ~ ( ( ( produc1570949143e_name @ SV82 @ SV155 )
= ( produc1570949143e_name @ SV212 @ SV230 ) )
| ~ ( ( SV82 != SV212 )
| ( SV155 != SV230 ) ) ) )
= $true )
| ( ( ~ ( ( ( produc1570949143e_name @ SV82 @ SV155 )
!= ( produc1570949143e_name @ SV212 @ SV230 ) )
| ~ ~ ( ( SV82 != SV212 )
| ( SV155 != SV230 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1000]) ).
thf(1059,plain,
! [SV83: produc367475239e_name] :
( ( SV83
!= ( produc1570949143e_name @ ( sK2_SY489 @ SV83 ) @ ( sK21_SY664 @ SV83 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[1002]) ).
thf(1060,plain,
! [SV84: list_P227219501e_name] :
( ( ( SV84 = nil_Pr743626285e_name )
= $true )
| ( ( ~ ( ~ ( ( SV84 != nil_Pr743626285e_name ) )
| ~ ~ ! [SY491: produc367475239e_name] :
~ ~ ! [SY492: list_P227219501e_name] :
( SV84
!= ( cons_P1213805021e_name @ SY491 @ SY492 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1003]) ).
thf(1061,plain,
! [SV84: list_P227219501e_name] :
( ( ( ! [SY491: produc367475239e_name] :
~ ~ ! [SY492: list_P227219501e_name] :
( SV84
!= ( cons_P1213805021e_name @ SY491 @ SY492 ) ) )
= $true )
| ( ( ~ ( ~ ( ( SV84 != nil_Pr743626285e_name ) )
| ~ ~ ! [SY491: produc367475239e_name] :
~ ~ ! [SY492: list_P227219501e_name] :
( SV84
!= ( cons_P1213805021e_name @ SY491 @ SY492 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1004]) ).
thf(1062,plain,
! [SV85: list_P227219501e_name] :
( ( ( ! [SY684: list_P227219501e_name] :
( SV85
!= ( cons_P1213805021e_name @ ( sK22_SY493 @ SV85 ) @ SY684 ) ) )
= $false )
| ( ( SV85 = nil_Pr743626285e_name )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1005]) ).
thf(1063,plain,
! [SV231: list_P227219501e_name,SV213: produc367475239e_name,SV156: list_P227219501e_name,SV86: produc367475239e_name] :
( ( ( ~ ( ( ( cons_P1213805021e_name @ SV86 @ SV156 )
= ( cons_P1213805021e_name @ SV213 @ SV231 ) )
| ~ ( ( SV86 != SV213 )
| ( SV156 != SV231 ) ) ) )
= $true )
| ( ( ~ ( ( ( cons_P1213805021e_name @ SV86 @ SV156 )
!= ( cons_P1213805021e_name @ SV213 @ SV231 ) )
| ~ ~ ( ( SV86 != SV213 )
| ( SV156 != SV231 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1006]) ).
thf(1064,plain,
! [SV232: pi,SV214: pi,SV157: list_P227219501e_name,SV87: $o] :
( ( ~ ( ~ SV87
| ( ( perm_name_pi @ SV157 @ ( if_pi @ SV87 @ SV214 @ SV232 ) )
= ( perm_name_pi @ SV157 @ SV214 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1008]) ).
thf(1065,plain,
! [SV232: pi,SV214: pi,SV157: list_P227219501e_name,SV87: $o] :
( ( ~ ( ~ ~ SV87
| ( ( perm_name_pi @ SV157 @ ( if_pi @ SV87 @ SV214 @ SV232 ) )
= ( perm_name_pi @ SV157 @ SV232 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1008]) ).
thf(1066,plain,
! [SV233: pi,SV215: pi,SV158: list_P227219501e_name] :
( ( ~ ( ~ $true
| ( ( perm_name_pi @ SV158 @ ( if_pi @ $true @ SV215 @ SV233 ) )
= ( perm_name_pi @ SV158 @ SV215 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1009]) ).
thf(1067,plain,
! [SV233: pi,SV215: pi,SV158: list_P227219501e_name] :
( ( ~ ( ~ ~ $true
| ( ( perm_name_pi @ SV158 @ ( if_pi @ $true @ SV215 @ SV233 ) )
= ( perm_name_pi @ SV158 @ SV233 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1009]) ).
thf(1068,plain,
! [SV234: pi,SV216: pi,SV159: list_P227219501e_name] :
( ( ~ ( ~ $false
| ( ( perm_name_pi @ SV159 @ ( if_pi @ $false @ SV216 @ SV234 ) )
= ( perm_name_pi @ SV159 @ SV216 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1010]) ).
thf(1069,plain,
! [SV234: pi,SV216: pi,SV159: list_P227219501e_name] :
( ( ~ ( ~ ~ $false
| ( ( perm_name_pi @ SV159 @ ( if_pi @ $false @ SV216 @ SV234 ) )
= ( perm_name_pi @ SV159 @ SV234 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1010]) ).
thf(1070,plain,
! [SV235: pi,SV217: pi,SV160: late_freeRes,SV88: pi] :
( ( ( late_transitions @ SV88 @ ( late_FreeR @ SV160 @ SV217 ) )
= $false )
| ( ( late_transitions @ ( par @ SV88 @ SV235 ) @ ( late_FreeR @ SV160 @ ( par @ SV217 @ SV235 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1011]) ).
thf(1071,plain,
! [SV236: pi,SV218: pi,SV161: late_freeRes,SV89: pi] :
( ( ( late_transitions @ SV89 @ ( late_FreeR @ SV161 @ SV218 ) )
= $false )
| ( ( late_transitions @ ( par @ SV236 @ SV89 ) @ ( late_FreeR @ SV161 @ ( par @ SV236 @ SV218 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1012]) ).
thf(1072,plain,
! [SV162: produc367475239e_name > produc367475239e_name > $o,SV219: list_P227219501e_name,SV90: ( produc367475239e_name > produc367475239e_name > $o ) > list_P227219501e_name > $o] :
( ( ( SV90 @ ( sK23_SY509 @ SV219 @ SV162 @ SV90 ) @ nil_Pr743626285e_name )
= $false )
| ( ( ~ ! [SY510: produc367475239e_name > produc367475239e_name > $o,SY511: produc367475239e_name,SY512: list_P227219501e_name] :
( ~ ( SV90 @ SY510 @ SY512 )
| ( SV90 @ SY510 @ ( cons_P1213805021e_name @ SY511 @ SY512 ) ) )
| ( SV90 @ SV162 @ SV219 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1013]) ).
thf(1073,plain,
! [SV165: list_P227219501e_name,SV93: list_P227219501e_name > $o] :
( ( ( ! [SY517: produc367475239e_name] : ( SV93 @ ( cons_P1213805021e_name @ SY517 @ nil_Pr743626285e_name ) ) )
= $false )
| ( ( ~ ! [SY518: produc367475239e_name,SY519: produc367475239e_name,SY520: list_P227219501e_name] :
( ~ ( SV93 @ SY520 )
| ~ ( SV93 @ ( cons_P1213805021e_name @ SY519 @ SY520 ) )
| ( SV93 @ ( cons_P1213805021e_name @ SY518 @ ( cons_P1213805021e_name @ SY519 @ SY520 ) ) ) )
| ( SV93 @ SV165 ) )
= $true )
| ( ( SV93 @ nil_Pr743626285e_name )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1015]) ).
thf(1074,plain,
! [SV190: pi,SV125: pi,SV42: list_P227219501e_name] :
( ( ( ( perm_name_pi @ SV42 @ SV125 )
= ( perm_name_pi @ SV42 @ SV190 ) )
= $false )
| ( ( ~ ( ( ( perm_name_pi @ SV42 @ SV125 )
!= ( perm_name_pi @ SV42 @ SV190 ) )
| ( SV125 != SV190 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1016]) ).
thf(1075,plain,
! [SV42: list_P227219501e_name,SV190: pi,SV125: pi] :
( ( ( SV125 = SV190 )
= $false )
| ( ( ~ ( ( ( perm_name_pi @ SV42 @ SV125 )
!= ( perm_name_pi @ SV42 @ SV190 ) )
| ( SV125 != SV190 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1016]) ).
thf(1076,plain,
! [SV191: pi,SV126: pi,SV43: list_P227219501e_name] :
( ( ( perm_name_o @ SV43 @ ( SV126 = SV191 ) )
= $false )
| ( ( ~ ( ~ ( perm_name_o @ SV43 @ ( SV126 = SV191 ) )
| ( ( perm_name_pi @ SV43 @ SV126 )
!= ( perm_name_pi @ SV43 @ SV191 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1017]) ).
thf(1077,plain,
! [SV191: pi,SV126: pi,SV43: list_P227219501e_name] :
( ( ( ( perm_name_pi @ SV43 @ SV126 )
= ( perm_name_pi @ SV43 @ SV191 ) )
= $false )
| ( ( ~ ( ~ ( perm_name_o @ SV43 @ ( SV126 = SV191 ) )
| ( ( perm_name_pi @ SV43 @ SV126 )
!= ( perm_name_pi @ SV43 @ SV191 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1017]) ).
thf(1078,plain,
! [SV47: $o] :
( ( ( ~ SV47
| ~ $true )
= $false )
| ( SV47 = $false )
| ( ( SV47 = $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1019]) ).
thf(1079,plain,
! [SV47: $o] :
( ( ( ~ SV47
| ~ $true )
= $false )
| ( $true = $false )
| ( ( SV47 = $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1020]) ).
thf(1080,plain,
! [SV47: $o] :
( ( SV47 = $false )
| ( ( ~ ( ~ SV47
| ~ $false ) )
= $true )
| ( ( SV47 = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1021]) ).
thf(1081,plain,
! [SV47: $o] :
( ( $false = $false )
| ( ( ~ ( ~ SV47
| ~ $false ) )
= $true )
| ( ( SV47 = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1021]) ).
thf(1082,plain,
( ( ( ~ $true
| ~ $true )
= $false )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1022]) ).
thf(1083,plain,
( ( ( ~ $true
| ~ $true )
= $false )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1023]) ).
thf(1084,plain,
( ( $true = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1024]) ).
thf(1085,plain,
( ( $false = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1024]) ).
thf(1086,plain,
( ( ( ~ $false
| ~ $true )
= $false )
| ( $false = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1025]) ).
thf(1087,plain,
( ( ( ~ $false
| ~ $true )
= $false )
| ( $true = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1026]) ).
thf(1088,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1027]) ).
thf(1089,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1027]) ).
thf(1090,plain,
! [SV222: name,SV194: name,SV129: name,SV48: name] :
( ( ( ( ( late_OutputR @ SV48 @ SV129 )
= ( late_OutputR @ SV194 @ SV222 ) )
| ~ ( ( SV48 != SV194 )
| ( SV129 != SV222 ) ) )
= $false )
| ( ( ~ ( ( ( late_OutputR @ SV48 @ SV129 )
!= ( late_OutputR @ SV194 @ SV222 ) )
| ~ ~ ( ( SV48 != SV194 )
| ( SV129 != SV222 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1028]) ).
thf(1091,plain,
! [SV223: name,SV195: pi,SV130: name,SV50: name] :
( ( ( SV50 = SV130 )
= $true )
| ( ( ~ ( fresh_name_pi @ SV130 @ SV195 )
| ~ ( fresh_name_pi @ SV50 @ SV195 )
| ( fresh_name_pi @ SV50 @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV130 @ SV223 ) @ nil_Pr743626285e_name ) @ SV195 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1029]) ).
thf(1092,plain,
! [SV52: produc890461031e_name] :
( ( ( ! [SY382: list_P227219501e_name] :
( SV52
!= ( produc208131031e_name @ SY382 @ nil_Pr743626285e_name ) ) )
= $false )
| ( ( ~ ! [SY383: produc367475239e_name,SY384: list_P227219501e_name,SY385: produc367475239e_name,SY386: list_P227219501e_name] :
( SV52
!= ( produc208131031e_name @ ( cons_P1213805021e_name @ SY383 @ SY384 ) @ ( cons_P1213805021e_name @ SY385 @ SY386 ) ) ) )
= $true )
| ( ( SV52
= ( produc208131031e_name @ nil_Pr743626285e_name @ ( sK5_SY381 @ SV52 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1030]) ).
thf(1093,plain,
! [SV53: produc890461031e_name] :
( ( ( ! [SY685: list_P227219501e_name,SY686: list_P227219501e_name] :
( SV53
!= ( produc208131031e_name @ ( cons_P1213805021e_name @ ( sK24_SY388 @ SV53 ) @ SY685 ) @ SY686 ) ) )
= $false )
| ( ( SV53
= ( produc208131031e_name @ nil_Pr743626285e_name @ ( sK6_SY387 @ SV53 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1031]) ).
thf(1094,plain,
! [SV131: late_freeRes,SV54: late_freeRes > $o] :
( ( ( ~ ( SV54 @ late_TauR ) )
= $true )
| ( ( SV54 @ SV131 )
= $true )
| ( ( SV54 @ ( late_OutputR @ ( sK10_SY392 @ SV131 @ SV54 ) @ ( sK15_SY678 @ SV131 @ SV54 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1032]) ).
thf(1095,plain,
! [SV225: pi,SV197: late_freeRes,SV134: pi,SV57: late_freeRes] :
( ( ( ( ( late_FreeR @ SV57 @ SV134 )
= ( late_FreeR @ SV197 @ SV225 ) )
| ~ ( ( SV57 != SV197 )
| ( SV134 != SV225 ) ) )
= $false )
| ( ( ~ ( ( ( late_FreeR @ SV57 @ SV134 )
!= ( late_FreeR @ SV197 @ SV225 ) )
| ~ ~ ( ( SV57 != SV197 )
| ( SV134 != SV225 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1035]) ).
thf(1096,plain,
! [SV135: late_residual,SV58: late_residual > $o] :
( ( ( SV58 @ ( late_BoundR @ ( sK12_SY405 @ SV135 @ SV58 ) @ ( sK17_SY680 @ SV135 @ SV58 ) @ ( sK25_SY683 @ SV135 @ SV58 ) ) )
= $false )
| ( ( ~ ! [SY408: late_freeRes,SY409: pi] : ( SV58 @ ( late_FreeR @ SY408 @ SY409 ) )
| ( SV58 @ SV135 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1036]) ).
thf(1097,plain,
! [SV60: name,SV137: pi,SV198: name] :
( ( ( fresh_name_pi @ SV198 @ SV137 )
= $false )
| ( ( ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV60 @ SV198 ) @ nil_Pr743626285e_name ) @ SV137 )
= SV137 )
= $true )
| ( ( fresh_name_pi @ SV60 @ SV137 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1038]) ).
thf(1098,plain,
! [SV226: name,SV200: name,SV140: name,SV63: name] :
( ( ( ( ( late_OutputR @ SV63 @ SV140 )
= ( late_OutputR @ SV200 @ SV226 ) )
| ~ ( ( SV63 != SV200 )
| ( SV140 != SV226 ) ) )
= $false )
| ( ( ~ ( ( ( late_OutputR @ SV63 @ SV140 )
!= ( late_OutputR @ SV200 @ SV226 ) )
| ~ ~ ( ( SV63 != SV200 )
| ( SV140 != SV226 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1039]) ).
thf(1099,plain,
! [SV64: produc1872410278e_name] :
( ( ( ! [SY422: produc367475239e_name > produc367475239e_name > $o,SY423: produc367475239e_name] :
( SV64
!= ( produc1069608854e_name @ SY422 @ ( cons_P1213805021e_name @ SY423 @ nil_Pr743626285e_name ) ) ) )
= $false )
| ( ( ~ ! [SY424: produc367475239e_name > produc367475239e_name > $o,SY425: produc367475239e_name,SY426: produc367475239e_name,SY427: list_P227219501e_name] :
( SV64
!= ( produc1069608854e_name @ SY424 @ ( cons_P1213805021e_name @ SY425 @ ( cons_P1213805021e_name @ SY426 @ SY427 ) ) ) ) )
= $true )
| ( ( SV64
= ( produc1069608854e_name @ ( sK7_SY421 @ SV64 ) @ nil_Pr743626285e_name ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1040]) ).
thf(1100,plain,
! [SV65: produc1872410278e_name] :
( ( ( ! [SY687: produc367475239e_name,SY688: list_P227219501e_name] :
( SV65
!= ( produc1069608854e_name @ ( sK26_SY429 @ SV65 ) @ ( cons_P1213805021e_name @ SY687 @ SY688 ) ) ) )
= $false )
| ( ( SV65
= ( produc1069608854e_name @ ( sK8_SY428 @ SV65 ) @ nil_Pr743626285e_name ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1041]) ).
thf(1101,plain,
! [SV141: list_P227219501e_name,SV66: list_P227219501e_name > $o] :
( ( ( ! [SY689: list_P227219501e_name] :
( ~ ( SV66 @ SY689 )
| ( SV66 @ ( cons_P1213805021e_name @ ( sK27_SY433 @ SV141 @ SV66 ) @ SY689 ) ) ) )
= $false )
| ( ( SV66 @ SV141 )
= $true )
| ( ( SV66 @ nil_Pr743626285e_name )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1042]) ).
thf(1102,plain,
! [SV201: list_P227219501e_name,SV143: list_P227219501e_name,SV69: list_P227219501e_name > list_P227219501e_name > $o] :
( ( ( ! [SY440: produc367475239e_name,SY441: list_P227219501e_name] : ( SV69 @ ( cons_P1213805021e_name @ SY440 @ SY441 ) @ nil_Pr743626285e_name ) )
= $false )
| ( ( ~ ! [SY442: produc367475239e_name,SY443: list_P227219501e_name] : ( SV69 @ nil_Pr743626285e_name @ ( cons_P1213805021e_name @ SY442 @ SY443 ) )
| ~ ! [SY444: produc367475239e_name,SY445: list_P227219501e_name,SY446: produc367475239e_name,SY447: list_P227219501e_name] :
( ~ ( SV69 @ SY445 @ SY447 )
| ( SV69 @ ( cons_P1213805021e_name @ SY444 @ SY445 ) @ ( cons_P1213805021e_name @ SY446 @ SY447 ) ) )
| ( SV69 @ SV143 @ SV201 ) )
= $true )
| ( ( SV69 @ nil_Pr743626285e_name @ nil_Pr743626285e_name )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1044]) ).
thf(1103,plain,
! [SV70: name,SV144: pi,SV202: name] :
( ( ( fresh_name_pi @ SV202 @ SV144 )
= $false )
| ( ( ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV70 @ SV202 ) @ nil_Pr743626285e_name ) @ SV144 )
= SV144 )
= $true )
| ( ( fresh_name_pi @ SV70 @ SV144 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1045]) ).
thf(1104,plain,
! [SV227: name,SV203: name,SV145: name,SV71: name] :
( ( ( ( ( produc1570949143e_name @ SV71 @ SV145 )
= ( produc1570949143e_name @ SV203 @ SV227 ) )
| ~ ( ( SV71 != SV203 )
| ( SV145 != SV227 ) ) )
= $false )
| ( ( ~ ( ( ( produc1570949143e_name @ SV71 @ SV145 )
!= ( produc1570949143e_name @ SV203 @ SV227 ) )
| ~ ~ ( ( SV71 != SV203 )
| ( SV145 != SV227 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1046]) ).
thf(1105,plain,
! [SV204: name,SV146: name,SV72: name] :
( ( ( SV72 != SV146 )
= $true )
| ( ( ( swap_name2 @ ( produc1570949143e_name @ SV72 @ SV204 ) @ SV146 )
= SV204 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1047]) ).
thf(1106,plain,
! [SV204: name,SV146: name,SV72: name] :
( ( ( ~ ( ( SV72 != SV146 ) ) )
= $true )
| ( ( ~ ( ~ ( ( SV204 != SV146 )
| ( ( swap_name2 @ ( produc1570949143e_name @ SV72 @ SV204 ) @ SV146 )
= SV72 ) )
| ~ ( ~ ( ( SV204 != SV146 ) )
| ( ( swap_name2 @ ( produc1570949143e_name @ SV72 @ SV204 ) @ SV146 )
= SV146 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1048]) ).
thf(1107,plain,
! [SV73: name,SV147: name,SV205: name] :
( ( ( ~ ( ( SV205 != SV147 ) ) )
= $true )
| ( ( ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV73 @ SV205 ) @ nil_Pr743626285e_name ) @ SV147 )
= SV147 )
= $true )
| ( ( SV73 = SV147 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1049]) ).
thf(1108,plain,
! [SV228: name,SV148: name,SV206: name,SV74: name] :
( ( ( ( SV74 != SV206 )
| ( SV148 != SV228 ) )
= $false )
| ( ( ( produc1570949143e_name @ SV74 @ SV148 )
= ( produc1570949143e_name @ SV206 @ SV228 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1050]) ).
thf(1109,plain,
! [SV75: list_P227219501e_name] :
( ( ( SV75
!= ( cons_P1213805021e_name @ ( sK28_SY460 @ SV75 ) @ nil_Pr743626285e_name ) )
= $false )
| ( ( ~ ! [SY461: produc367475239e_name,SY462: produc367475239e_name,SY463: list_P227219501e_name] :
( SV75
!= ( cons_P1213805021e_name @ SY461 @ ( cons_P1213805021e_name @ SY462 @ SY463 ) ) ) )
= $true )
| ( ( SV75 = nil_Pr743626285e_name )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1051]) ).
thf(1110,plain,
! [SV208: list_P227219501e_name,SV150: list_P227219501e_name,SV77: list_P227219501e_name > list_P227219501e_name > $o] :
( ( ( ~ ! [SY469: list_P227219501e_name] : ( SV77 @ SY469 @ nil_Pr743626285e_name ) )
= $true )
| ( ( ~ ! [SY470: produc367475239e_name,SY471: list_P227219501e_name,SY472: produc367475239e_name,SY473: list_P227219501e_name] :
( ~ ( SV77 @ SY471 @ ( cons_P1213805021e_name @ SY472 @ SY473 ) )
| ~ ( SV77 @ ( cons_P1213805021e_name @ SY470 @ SY471 ) @ SY473 )
| ( SV77 @ ( cons_P1213805021e_name @ SY470 @ SY471 ) @ ( cons_P1213805021e_name @ SY472 @ SY473 ) ) )
| ( SV77 @ SV150 @ SV208 ) )
= $true )
| ( ( SV77 @ nil_Pr743626285e_name @ ( sK19_SY468 @ SV208 @ SV150 @ SV77 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1053]) ).
thf(1111,plain,
! [SV151: late_freeRes,SV209: pi,SV78: pi,SV229: name] :
( ( ( ~ ( fresh_name_pi @ SV229 @ SV78 ) )
= $true )
| ( ( fresh_name_pi @ SV229 @ SV209 )
= $true )
| ( ( late_transitions @ SV78 @ ( late_FreeR @ SV151 @ SV209 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1054]) ).
thf(1112,plain,
! [SV210: name,SV152: name,SV79: name] :
( ( ( SV79 != SV152 )
= $true )
| ( ( ( swap_name @ ( produc1570949143e_name @ SV79 @ SV210 ) @ SV152 )
= SV210 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1055]) ).
thf(1113,plain,
! [SV210: name,SV152: name,SV79: name] :
( ( ( ~ ( ( SV79 != SV152 ) ) )
= $true )
| ( ( ~ ( ~ ( ( SV210 != SV152 )
| ( ( swap_name @ ( produc1570949143e_name @ SV79 @ SV210 ) @ SV152 )
= SV79 ) )
| ~ ( ~ ( ( SV210 != SV152 ) )
| ( ( swap_name @ ( produc1570949143e_name @ SV79 @ SV210 ) @ SV152 )
= SV152 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1056]) ).
thf(1114,plain,
! [SV211: list_P227219501e_name,SV153: list_P227219501e_name,SV80: list_P227219501e_name > list_P227219501e_name > $o] :
( ( ( ~ ! [SY482: produc367475239e_name,SY483: list_P227219501e_name,SY484: list_P227219501e_name] :
( ~ ( SV80 @ SY484 @ SY483 )
| ( SV80 @ ( cons_P1213805021e_name @ SY482 @ SY483 ) @ SY484 ) ) )
= $true )
| ( ( SV80 @ SV153 @ SV211 )
= $true )
| ( ( SV80 @ nil_Pr743626285e_name @ ( sK20_SY481 @ SV211 @ SV153 @ SV80 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1057]) ).
thf(1115,plain,
! [SV230: name,SV212: name,SV155: name,SV82: name] :
( ( ( ( ( produc1570949143e_name @ SV82 @ SV155 )
= ( produc1570949143e_name @ SV212 @ SV230 ) )
| ~ ( ( SV82 != SV212 )
| ( SV155 != SV230 ) ) )
= $false )
| ( ( ~ ( ( ( produc1570949143e_name @ SV82 @ SV155 )
!= ( produc1570949143e_name @ SV212 @ SV230 ) )
| ~ ~ ( ( SV82 != SV212 )
| ( SV155 != SV230 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1058]) ).
thf(1116,plain,
! [SV83: produc367475239e_name] :
( ( SV83
= ( produc1570949143e_name @ ( sK2_SY489 @ SV83 ) @ ( sK21_SY664 @ SV83 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1059]) ).
thf(1117,plain,
! [SV84: list_P227219501e_name] :
( ( ( ~ ( ( SV84 != nil_Pr743626285e_name ) )
| ~ ~ ! [SY491: produc367475239e_name] :
~ ~ ! [SY492: list_P227219501e_name] :
( SV84
!= ( cons_P1213805021e_name @ SY491 @ SY492 ) ) )
= $false )
| ( ( SV84 = nil_Pr743626285e_name )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1060]) ).
thf(1118,plain,
! [SV239: produc367475239e_name,SV84: list_P227219501e_name] :
( ( ( ~ ~ ! [SY690: list_P227219501e_name] :
( SV84
!= ( cons_P1213805021e_name @ SV239 @ SY690 ) ) )
= $true )
| ( ( ~ ( ~ ( ( SV84 != nil_Pr743626285e_name ) )
| ~ ~ ! [SY491: produc367475239e_name] :
~ ~ ! [SY492: list_P227219501e_name] :
( SV84
!= ( cons_P1213805021e_name @ SY491 @ SY492 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1061]) ).
thf(1119,plain,
! [SV85: list_P227219501e_name] :
( ( ( SV85
!= ( cons_P1213805021e_name @ ( sK22_SY493 @ SV85 ) @ ( sK29_SY684 @ SV85 ) ) )
= $false )
| ( ( SV85 = nil_Pr743626285e_name )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1062]) ).
thf(1120,plain,
! [SV231: list_P227219501e_name,SV213: produc367475239e_name,SV156: list_P227219501e_name,SV86: produc367475239e_name] :
( ( ( ( ( cons_P1213805021e_name @ SV86 @ SV156 )
= ( cons_P1213805021e_name @ SV213 @ SV231 ) )
| ~ ( ( SV86 != SV213 )
| ( SV156 != SV231 ) ) )
= $false )
| ( ( ~ ( ( ( cons_P1213805021e_name @ SV86 @ SV156 )
!= ( cons_P1213805021e_name @ SV213 @ SV231 ) )
| ~ ~ ( ( SV86 != SV213 )
| ( SV156 != SV231 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1063]) ).
thf(1121,plain,
! [SV232: pi,SV214: pi,SV157: list_P227219501e_name,SV87: $o] :
( ( ~ SV87
| ( ( perm_name_pi @ SV157 @ ( if_pi @ SV87 @ SV214 @ SV232 ) )
= ( perm_name_pi @ SV157 @ SV214 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1064]) ).
thf(1122,plain,
! [SV232: pi,SV214: pi,SV157: list_P227219501e_name,SV87: $o] :
( ( ~ ~ SV87
| ( ( perm_name_pi @ SV157 @ ( if_pi @ SV87 @ SV214 @ SV232 ) )
= ( perm_name_pi @ SV157 @ SV232 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1065]) ).
thf(1123,plain,
! [SV233: pi,SV215: pi,SV158: list_P227219501e_name] :
( ( ~ $true
| ( ( perm_name_pi @ SV158 @ ( if_pi @ $true @ SV215 @ SV233 ) )
= ( perm_name_pi @ SV158 @ SV215 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1066]) ).
thf(1124,plain,
! [SV233: pi,SV215: pi,SV158: list_P227219501e_name] :
( ( ~ ~ $true
| ( ( perm_name_pi @ SV158 @ ( if_pi @ $true @ SV215 @ SV233 ) )
= ( perm_name_pi @ SV158 @ SV233 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1067]) ).
thf(1125,plain,
! [SV234: pi,SV216: pi,SV159: list_P227219501e_name] :
( ( ~ $false
| ( ( perm_name_pi @ SV159 @ ( if_pi @ $false @ SV216 @ SV234 ) )
= ( perm_name_pi @ SV159 @ SV216 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1068]) ).
thf(1126,plain,
! [SV234: pi,SV216: pi,SV159: list_P227219501e_name] :
( ( ~ ~ $false
| ( ( perm_name_pi @ SV159 @ ( if_pi @ $false @ SV216 @ SV234 ) )
= ( perm_name_pi @ SV159 @ SV234 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1069]) ).
thf(1127,plain,
! [SV219: list_P227219501e_name,SV162: produc367475239e_name > produc367475239e_name > $o,SV90: ( produc367475239e_name > produc367475239e_name > $o ) > list_P227219501e_name > $o] :
( ( ( ~ ! [SY510: produc367475239e_name > produc367475239e_name > $o,SY511: produc367475239e_name,SY512: list_P227219501e_name] :
( ~ ( SV90 @ SY510 @ SY512 )
| ( SV90 @ SY510 @ ( cons_P1213805021e_name @ SY511 @ SY512 ) ) ) )
= $true )
| ( ( SV90 @ SV162 @ SV219 )
= $true )
| ( ( SV90 @ ( sK23_SY509 @ SV219 @ SV162 @ SV90 ) @ nil_Pr743626285e_name )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1072]) ).
thf(1128,plain,
! [SV165: list_P227219501e_name,SV93: list_P227219501e_name > $o] :
( ( ( SV93 @ ( cons_P1213805021e_name @ ( sK30_SY517 @ SV165 @ SV93 ) @ nil_Pr743626285e_name ) )
= $false )
| ( ( ~ ! [SY518: produc367475239e_name,SY519: produc367475239e_name,SY520: list_P227219501e_name] :
( ~ ( SV93 @ SY520 )
| ~ ( SV93 @ ( cons_P1213805021e_name @ SY519 @ SY520 ) )
| ( SV93 @ ( cons_P1213805021e_name @ SY518 @ ( cons_P1213805021e_name @ SY519 @ SY520 ) ) ) )
| ( SV93 @ SV165 ) )
= $true )
| ( ( SV93 @ nil_Pr743626285e_name )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1073]) ).
thf(1129,plain,
! [SV190: pi,SV125: pi,SV42: list_P227219501e_name] :
( ( ( ( ( perm_name_pi @ SV42 @ SV125 )
!= ( perm_name_pi @ SV42 @ SV190 ) )
| ( SV125 != SV190 ) )
= $false )
| ( ( ( perm_name_pi @ SV42 @ SV125 )
= ( perm_name_pi @ SV42 @ SV190 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1074]) ).
thf(1130,plain,
! [SV190: pi,SV125: pi,SV42: list_P227219501e_name] :
( ( ( ( ( perm_name_pi @ SV42 @ SV125 )
!= ( perm_name_pi @ SV42 @ SV190 ) )
| ( SV125 != SV190 ) )
= $false )
| ( ( SV125 = SV190 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1075]) ).
thf(1131,plain,
! [SV191: pi,SV126: pi,SV43: list_P227219501e_name] :
( ( ( ~ ( perm_name_o @ SV43 @ ( SV126 = SV191 ) )
| ( ( perm_name_pi @ SV43 @ SV126 )
!= ( perm_name_pi @ SV43 @ SV191 ) ) )
= $false )
| ( ( perm_name_o @ SV43 @ ( SV126 = SV191 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1076]) ).
thf(1132,plain,
! [SV191: pi,SV126: pi,SV43: list_P227219501e_name] :
( ( ( ~ ( perm_name_o @ SV43 @ ( SV126 = SV191 ) )
| ( ( perm_name_pi @ SV43 @ SV126 )
!= ( perm_name_pi @ SV43 @ SV191 ) ) )
= $false )
| ( ( ( perm_name_pi @ SV43 @ SV126 )
= ( perm_name_pi @ SV43 @ SV191 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1077]) ).
thf(1133,plain,
! [SV47: $o] :
( ( ( ~ SV47 ) = $false )
| ( SV47 = $false )
| ( ( SV47 = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1078]) ).
thf(1134,plain,
! [SV47: $o] :
( ( ( ~ $true ) = $false )
| ( SV47 = $false )
| ( ( SV47 = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1078]) ).
thf(1135,plain,
! [SV47: $o] :
( ( ( ~ SV47 ) = $false )
| ( $true = $false )
| ( ( SV47 = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1079]) ).
thf(1136,plain,
! [SV47: $o] :
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( ( SV47 = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1079]) ).
thf(1137,plain,
! [SV47: $o] :
( ( ( ~ SV47
| ~ $false )
= $false )
| ( SV47 = $false )
| ( ( SV47 = $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1080]) ).
thf(1138,plain,
! [SV47: $o] :
( ( ( ~ SV47
| ~ $false )
= $false )
| ( $false = $false )
| ( ( SV47 = $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1081]) ).
thf(1139,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1082]) ).
thf(1140,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1082]) ).
thf(1141,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1083]) ).
thf(1142,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1083]) ).
thf(1143,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $true = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1084]) ).
thf(1144,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $false = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1085]) ).
thf(1145,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1086]) ).
thf(1146,plain,
( ( ( ~ $true ) = $false )
| ( $false = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1086]) ).
thf(1147,plain,
( ( ( ~ $false ) = $false )
| ( $true = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1087]) ).
thf(1148,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1087]) ).
thf(1149,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1088]) ).
thf(1150,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1089]) ).
thf(1151,plain,
! [SV222: name,SV194: name,SV129: name,SV48: name] :
( ( ( ( late_OutputR @ SV48 @ SV129 )
= ( late_OutputR @ SV194 @ SV222 ) )
= $false )
| ( ( ~ ( ( ( late_OutputR @ SV48 @ SV129 )
!= ( late_OutputR @ SV194 @ SV222 ) )
| ~ ~ ( ( SV48 != SV194 )
| ( SV129 != SV222 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1090]) ).
thf(1152,plain,
! [SV222: name,SV129: name,SV194: name,SV48: name] :
( ( ( ~ ( ( SV48 != SV194 )
| ( SV129 != SV222 ) ) )
= $false )
| ( ( ~ ( ( ( late_OutputR @ SV48 @ SV129 )
!= ( late_OutputR @ SV194 @ SV222 ) )
| ~ ~ ( ( SV48 != SV194 )
| ( SV129 != SV222 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1090]) ).
thf(1153,plain,
! [SV223: name,SV50: name,SV195: pi,SV130: name] :
( ( ( ~ ( fresh_name_pi @ SV130 @ SV195 ) )
= $true )
| ( ( ~ ( fresh_name_pi @ SV50 @ SV195 )
| ( fresh_name_pi @ SV50 @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV130 @ SV223 ) @ nil_Pr743626285e_name ) @ SV195 ) ) )
= $true )
| ( ( SV50 = SV130 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1091]) ).
thf(1154,plain,
! [SV52: produc890461031e_name] :
( ( ( SV52
!= ( produc208131031e_name @ ( sK31_SY382 @ SV52 ) @ nil_Pr743626285e_name ) )
= $false )
| ( ( ~ ! [SY383: produc367475239e_name,SY384: list_P227219501e_name,SY385: produc367475239e_name,SY386: list_P227219501e_name] :
( SV52
!= ( produc208131031e_name @ ( cons_P1213805021e_name @ SY383 @ SY384 ) @ ( cons_P1213805021e_name @ SY385 @ SY386 ) ) ) )
= $true )
| ( ( SV52
= ( produc208131031e_name @ nil_Pr743626285e_name @ ( sK5_SY381 @ SV52 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1092]) ).
thf(1155,plain,
! [SV53: produc890461031e_name] :
( ( ( ! [SY691: list_P227219501e_name] :
( SV53
!= ( produc208131031e_name @ ( cons_P1213805021e_name @ ( sK24_SY388 @ SV53 ) @ ( sK32_SY685 @ SV53 ) ) @ SY691 ) ) )
= $false )
| ( ( SV53
= ( produc208131031e_name @ nil_Pr743626285e_name @ ( sK6_SY387 @ SV53 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1093]) ).
thf(1156,plain,
! [SV131: late_freeRes,SV54: late_freeRes > $o] :
( ( ( SV54 @ late_TauR )
= $false )
| ( ( SV54 @ SV131 )
= $true )
| ( ( SV54 @ ( late_OutputR @ ( sK10_SY392 @ SV131 @ SV54 ) @ ( sK15_SY678 @ SV131 @ SV54 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1094]) ).
thf(1157,plain,
! [SV225: pi,SV197: late_freeRes,SV134: pi,SV57: late_freeRes] :
( ( ( ( late_FreeR @ SV57 @ SV134 )
= ( late_FreeR @ SV197 @ SV225 ) )
= $false )
| ( ( ~ ( ( ( late_FreeR @ SV57 @ SV134 )
!= ( late_FreeR @ SV197 @ SV225 ) )
| ~ ~ ( ( SV57 != SV197 )
| ( SV134 != SV225 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1095]) ).
thf(1158,plain,
! [SV225: pi,SV134: pi,SV197: late_freeRes,SV57: late_freeRes] :
( ( ( ~ ( ( SV57 != SV197 )
| ( SV134 != SV225 ) ) )
= $false )
| ( ( ~ ( ( ( late_FreeR @ SV57 @ SV134 )
!= ( late_FreeR @ SV197 @ SV225 ) )
| ~ ~ ( ( SV57 != SV197 )
| ( SV134 != SV225 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1095]) ).
thf(1159,plain,
! [SV135: late_residual,SV58: late_residual > $o] :
( ( ( ~ ! [SY408: late_freeRes,SY409: pi] : ( SV58 @ ( late_FreeR @ SY408 @ SY409 ) ) )
= $true )
| ( ( SV58 @ SV135 )
= $true )
| ( ( SV58 @ ( late_BoundR @ ( sK12_SY405 @ SV135 @ SV58 ) @ ( sK17_SY680 @ SV135 @ SV58 ) @ ( sK25_SY683 @ SV135 @ SV58 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1096]) ).
thf(1160,plain,
! [SV226: name,SV200: name,SV140: name,SV63: name] :
( ( ( ( late_OutputR @ SV63 @ SV140 )
= ( late_OutputR @ SV200 @ SV226 ) )
= $false )
| ( ( ~ ( ( ( late_OutputR @ SV63 @ SV140 )
!= ( late_OutputR @ SV200 @ SV226 ) )
| ~ ~ ( ( SV63 != SV200 )
| ( SV140 != SV226 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1098]) ).
thf(1161,plain,
! [SV226: name,SV140: name,SV200: name,SV63: name] :
( ( ( ~ ( ( SV63 != SV200 )
| ( SV140 != SV226 ) ) )
= $false )
| ( ( ~ ( ( ( late_OutputR @ SV63 @ SV140 )
!= ( late_OutputR @ SV200 @ SV226 ) )
| ~ ~ ( ( SV63 != SV200 )
| ( SV140 != SV226 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1098]) ).
thf(1162,plain,
! [SV64: produc1872410278e_name] :
( ( ( ! [SY692: produc367475239e_name] :
( SV64
!= ( produc1069608854e_name @ ( sK33_SY422 @ SV64 ) @ ( cons_P1213805021e_name @ SY692 @ nil_Pr743626285e_name ) ) ) )
= $false )
| ( ( ~ ! [SY424: produc367475239e_name > produc367475239e_name > $o,SY425: produc367475239e_name,SY426: produc367475239e_name,SY427: list_P227219501e_name] :
( SV64
!= ( produc1069608854e_name @ SY424 @ ( cons_P1213805021e_name @ SY425 @ ( cons_P1213805021e_name @ SY426 @ SY427 ) ) ) ) )
= $true )
| ( ( SV64
= ( produc1069608854e_name @ ( sK7_SY421 @ SV64 ) @ nil_Pr743626285e_name ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1099]) ).
thf(1163,plain,
! [SV65: produc1872410278e_name] :
( ( ( ! [SY693: list_P227219501e_name] :
( SV65
!= ( produc1069608854e_name @ ( sK26_SY429 @ SV65 ) @ ( cons_P1213805021e_name @ ( sK34_SY687 @ SV65 ) @ SY693 ) ) ) )
= $false )
| ( ( SV65
= ( produc1069608854e_name @ ( sK8_SY428 @ SV65 ) @ nil_Pr743626285e_name ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1100]) ).
thf(1164,plain,
! [SV141: list_P227219501e_name,SV66: list_P227219501e_name > $o] :
( ( ( ~ ( SV66 @ ( sK35_SY689 @ SV141 @ SV66 ) )
| ( SV66 @ ( cons_P1213805021e_name @ ( sK27_SY433 @ SV141 @ SV66 ) @ ( sK35_SY689 @ SV141 @ SV66 ) ) ) )
= $false )
| ( ( SV66 @ SV141 )
= $true )
| ( ( SV66 @ nil_Pr743626285e_name )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1101]) ).
thf(1165,plain,
! [SV143: list_P227219501e_name,SV201: list_P227219501e_name,SV69: list_P227219501e_name > list_P227219501e_name > $o] :
( ( ( ! [SY694: list_P227219501e_name] : ( SV69 @ ( cons_P1213805021e_name @ ( sK36_SY440 @ SV201 @ SV143 @ SV69 ) @ SY694 ) @ nil_Pr743626285e_name ) )
= $false )
| ( ( ~ ! [SY442: produc367475239e_name,SY443: list_P227219501e_name] : ( SV69 @ nil_Pr743626285e_name @ ( cons_P1213805021e_name @ SY442 @ SY443 ) )
| ~ ! [SY444: produc367475239e_name,SY445: list_P227219501e_name,SY446: produc367475239e_name,SY447: list_P227219501e_name] :
( ~ ( SV69 @ SY445 @ SY447 )
| ( SV69 @ ( cons_P1213805021e_name @ SY444 @ SY445 ) @ ( cons_P1213805021e_name @ SY446 @ SY447 ) ) )
| ( SV69 @ SV143 @ SV201 ) )
= $true )
| ( ( SV69 @ nil_Pr743626285e_name @ nil_Pr743626285e_name )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1102]) ).
thf(1166,plain,
! [SV227: name,SV203: name,SV145: name,SV71: name] :
( ( ( ( produc1570949143e_name @ SV71 @ SV145 )
= ( produc1570949143e_name @ SV203 @ SV227 ) )
= $false )
| ( ( ~ ( ( ( produc1570949143e_name @ SV71 @ SV145 )
!= ( produc1570949143e_name @ SV203 @ SV227 ) )
| ~ ~ ( ( SV71 != SV203 )
| ( SV145 != SV227 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1104]) ).
thf(1167,plain,
! [SV227: name,SV145: name,SV203: name,SV71: name] :
( ( ( ~ ( ( SV71 != SV203 )
| ( SV145 != SV227 ) ) )
= $false )
| ( ( ~ ( ( ( produc1570949143e_name @ SV71 @ SV145 )
!= ( produc1570949143e_name @ SV203 @ SV227 ) )
| ~ ~ ( ( SV71 != SV203 )
| ( SV145 != SV227 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1104]) ).
thf(1168,plain,
! [SV204: name,SV146: name,SV72: name] :
( ( ( SV72 = SV146 )
= $false )
| ( ( ( swap_name2 @ ( produc1570949143e_name @ SV72 @ SV204 ) @ SV146 )
= SV204 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1105]) ).
thf(1169,plain,
! [SV204: name,SV146: name,SV72: name] :
( ( ( SV72 != SV146 )
= $false )
| ( ( ~ ( ~ ( ( SV204 != SV146 )
| ( ( swap_name2 @ ( produc1570949143e_name @ SV72 @ SV204 ) @ SV146 )
= SV72 ) )
| ~ ( ~ ( ( SV204 != SV146 ) )
| ( ( swap_name2 @ ( produc1570949143e_name @ SV72 @ SV204 ) @ SV146 )
= SV146 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1106]) ).
thf(1170,plain,
! [SV73: name,SV147: name,SV205: name] :
( ( ( SV205 != SV147 )
= $false )
| ( ( ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV73 @ SV205 ) @ nil_Pr743626285e_name ) @ SV147 )
= SV147 )
= $true )
| ( ( SV73 = SV147 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1107]) ).
thf(1171,plain,
! [SV228: name,SV148: name,SV206: name,SV74: name] :
( ( ( SV74 != SV206 )
= $false )
| ( ( ( produc1570949143e_name @ SV74 @ SV148 )
= ( produc1570949143e_name @ SV206 @ SV228 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1108]) ).
thf(1172,plain,
! [SV206: name,SV74: name,SV228: name,SV148: name] :
( ( ( SV148 != SV228 )
= $false )
| ( ( ( produc1570949143e_name @ SV74 @ SV148 )
= ( produc1570949143e_name @ SV206 @ SV228 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1108]) ).
thf(1173,plain,
! [SV75: list_P227219501e_name] :
( ( ( SV75
= ( cons_P1213805021e_name @ ( sK28_SY460 @ SV75 ) @ nil_Pr743626285e_name ) )
= $true )
| ( ( ~ ! [SY461: produc367475239e_name,SY462: produc367475239e_name,SY463: list_P227219501e_name] :
( SV75
!= ( cons_P1213805021e_name @ SY461 @ ( cons_P1213805021e_name @ SY462 @ SY463 ) ) ) )
= $true )
| ( ( SV75 = nil_Pr743626285e_name )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1109]) ).
thf(1174,plain,
! [SV208: list_P227219501e_name,SV150: list_P227219501e_name,SV77: list_P227219501e_name > list_P227219501e_name > $o] :
( ( ( ! [SY469: list_P227219501e_name] : ( SV77 @ SY469 @ nil_Pr743626285e_name ) )
= $false )
| ( ( ~ ! [SY470: produc367475239e_name,SY471: list_P227219501e_name,SY472: produc367475239e_name,SY473: list_P227219501e_name] :
( ~ ( SV77 @ SY471 @ ( cons_P1213805021e_name @ SY472 @ SY473 ) )
| ~ ( SV77 @ ( cons_P1213805021e_name @ SY470 @ SY471 ) @ SY473 )
| ( SV77 @ ( cons_P1213805021e_name @ SY470 @ SY471 ) @ ( cons_P1213805021e_name @ SY472 @ SY473 ) ) )
| ( SV77 @ SV150 @ SV208 ) )
= $true )
| ( ( SV77 @ nil_Pr743626285e_name @ ( sK19_SY468 @ SV208 @ SV150 @ SV77 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1110]) ).
thf(1175,plain,
! [SV151: late_freeRes,SV209: pi,SV78: pi,SV229: name] :
( ( ( fresh_name_pi @ SV229 @ SV78 )
= $false )
| ( ( fresh_name_pi @ SV229 @ SV209 )
= $true )
| ( ( late_transitions @ SV78 @ ( late_FreeR @ SV151 @ SV209 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1111]) ).
thf(1176,plain,
! [SV210: name,SV152: name,SV79: name] :
( ( ( SV79 = SV152 )
= $false )
| ( ( ( swap_name @ ( produc1570949143e_name @ SV79 @ SV210 ) @ SV152 )
= SV210 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1112]) ).
thf(1177,plain,
! [SV210: name,SV152: name,SV79: name] :
( ( ( SV79 != SV152 )
= $false )
| ( ( ~ ( ~ ( ( SV210 != SV152 )
| ( ( swap_name @ ( produc1570949143e_name @ SV79 @ SV210 ) @ SV152 )
= SV79 ) )
| ~ ( ~ ( ( SV210 != SV152 ) )
| ( ( swap_name @ ( produc1570949143e_name @ SV79 @ SV210 ) @ SV152 )
= SV152 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1113]) ).
thf(1178,plain,
! [SV211: list_P227219501e_name,SV153: list_P227219501e_name,SV80: list_P227219501e_name > list_P227219501e_name > $o] :
( ( ( ! [SY482: produc367475239e_name,SY483: list_P227219501e_name,SY484: list_P227219501e_name] :
( ~ ( SV80 @ SY484 @ SY483 )
| ( SV80 @ ( cons_P1213805021e_name @ SY482 @ SY483 ) @ SY484 ) ) )
= $false )
| ( ( SV80 @ SV153 @ SV211 )
= $true )
| ( ( SV80 @ nil_Pr743626285e_name @ ( sK20_SY481 @ SV211 @ SV153 @ SV80 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1114]) ).
thf(1179,plain,
! [SV230: name,SV212: name,SV155: name,SV82: name] :
( ( ( ( produc1570949143e_name @ SV82 @ SV155 )
= ( produc1570949143e_name @ SV212 @ SV230 ) )
= $false )
| ( ( ~ ( ( ( produc1570949143e_name @ SV82 @ SV155 )
!= ( produc1570949143e_name @ SV212 @ SV230 ) )
| ~ ~ ( ( SV82 != SV212 )
| ( SV155 != SV230 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1115]) ).
thf(1180,plain,
! [SV230: name,SV155: name,SV212: name,SV82: name] :
( ( ( ~ ( ( SV82 != SV212 )
| ( SV155 != SV230 ) ) )
= $false )
| ( ( ~ ( ( ( produc1570949143e_name @ SV82 @ SV155 )
!= ( produc1570949143e_name @ SV212 @ SV230 ) )
| ~ ~ ( ( SV82 != SV212 )
| ( SV155 != SV230 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1115]) ).
thf(1181,plain,
! [SV84: list_P227219501e_name] :
( ( ( ~ ( ( SV84 != nil_Pr743626285e_name ) ) )
= $false )
| ( ( SV84 = nil_Pr743626285e_name )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1117]) ).
thf(1182,plain,
! [SV84: list_P227219501e_name] :
( ( ( ~ ~ ! [SY491: produc367475239e_name] :
~ ~ ! [SY492: list_P227219501e_name] :
( SV84
!= ( cons_P1213805021e_name @ SY491 @ SY492 ) ) )
= $false )
| ( ( SV84 = nil_Pr743626285e_name )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1117]) ).
thf(1183,plain,
! [SV239: produc367475239e_name,SV84: list_P227219501e_name] :
( ( ( ~ ! [SY690: list_P227219501e_name] :
( SV84
!= ( cons_P1213805021e_name @ SV239 @ SY690 ) ) )
= $false )
| ( ( ~ ( ~ ( ( SV84 != nil_Pr743626285e_name ) )
| ~ ~ ! [SY491: produc367475239e_name] :
~ ~ ! [SY492: list_P227219501e_name] :
( SV84
!= ( cons_P1213805021e_name @ SY491 @ SY492 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1118]) ).
thf(1184,plain,
! [SV85: list_P227219501e_name] :
( ( ( SV85
= ( cons_P1213805021e_name @ ( sK22_SY493 @ SV85 ) @ ( sK29_SY684 @ SV85 ) ) )
= $true )
| ( ( SV85 = nil_Pr743626285e_name )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1119]) ).
thf(1185,plain,
! [SV231: list_P227219501e_name,SV213: produc367475239e_name,SV156: list_P227219501e_name,SV86: produc367475239e_name] :
( ( ( ( cons_P1213805021e_name @ SV86 @ SV156 )
= ( cons_P1213805021e_name @ SV213 @ SV231 ) )
= $false )
| ( ( ~ ( ( ( cons_P1213805021e_name @ SV86 @ SV156 )
!= ( cons_P1213805021e_name @ SV213 @ SV231 ) )
| ~ ~ ( ( SV86 != SV213 )
| ( SV156 != SV231 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1120]) ).
thf(1186,plain,
! [SV231: list_P227219501e_name,SV156: list_P227219501e_name,SV213: produc367475239e_name,SV86: produc367475239e_name] :
( ( ( ~ ( ( SV86 != SV213 )
| ( SV156 != SV231 ) ) )
= $false )
| ( ( ~ ( ( ( cons_P1213805021e_name @ SV86 @ SV156 )
!= ( cons_P1213805021e_name @ SV213 @ SV231 ) )
| ~ ~ ( ( SV86 != SV213 )
| ( SV156 != SV231 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1120]) ).
thf(1187,plain,
! [SV232: pi,SV214: pi,SV157: list_P227219501e_name,SV87: $o] :
( ( ( ~ SV87 ) = $true )
| ( ( ( perm_name_pi @ SV157 @ ( if_pi @ SV87 @ SV214 @ SV232 ) )
= ( perm_name_pi @ SV157 @ SV214 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1121]) ).
thf(1188,plain,
! [SV232: pi,SV214: pi,SV157: list_P227219501e_name,SV87: $o] :
( ( ( ~ ~ SV87 )
= $true )
| ( ( ( perm_name_pi @ SV157 @ ( if_pi @ SV87 @ SV214 @ SV232 ) )
= ( perm_name_pi @ SV157 @ SV232 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1122]) ).
thf(1189,plain,
! [SV233: pi,SV215: pi,SV158: list_P227219501e_name] :
( ( ( ~ $true ) = $true )
| ( ( ( perm_name_pi @ SV158 @ ( if_pi @ $true @ SV215 @ SV233 ) )
= ( perm_name_pi @ SV158 @ SV215 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1123]) ).
thf(1190,plain,
! [SV233: pi,SV215: pi,SV158: list_P227219501e_name] :
( ( ( ~ ~ $true )
= $true )
| ( ( ( perm_name_pi @ SV158 @ ( if_pi @ $true @ SV215 @ SV233 ) )
= ( perm_name_pi @ SV158 @ SV233 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1124]) ).
thf(1191,plain,
! [SV234: pi,SV216: pi,SV159: list_P227219501e_name] :
( ( ( ~ $false ) = $true )
| ( ( ( perm_name_pi @ SV159 @ ( if_pi @ $false @ SV216 @ SV234 ) )
= ( perm_name_pi @ SV159 @ SV216 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1125]) ).
thf(1192,plain,
! [SV234: pi,SV216: pi,SV159: list_P227219501e_name] :
( ( ( ~ ~ $false )
= $true )
| ( ( ( perm_name_pi @ SV159 @ ( if_pi @ $false @ SV216 @ SV234 ) )
= ( perm_name_pi @ SV159 @ SV234 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1126]) ).
thf(1193,plain,
! [SV219: list_P227219501e_name,SV162: produc367475239e_name > produc367475239e_name > $o,SV90: ( produc367475239e_name > produc367475239e_name > $o ) > list_P227219501e_name > $o] :
( ( ( ! [SY510: produc367475239e_name > produc367475239e_name > $o,SY511: produc367475239e_name,SY512: list_P227219501e_name] :
( ~ ( SV90 @ SY510 @ SY512 )
| ( SV90 @ SY510 @ ( cons_P1213805021e_name @ SY511 @ SY512 ) ) ) )
= $false )
| ( ( SV90 @ SV162 @ SV219 )
= $true )
| ( ( SV90 @ ( sK23_SY509 @ SV219 @ SV162 @ SV90 ) @ nil_Pr743626285e_name )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1127]) ).
thf(1194,plain,
! [SV165: list_P227219501e_name,SV93: list_P227219501e_name > $o] :
( ( ( ~ ! [SY518: produc367475239e_name,SY519: produc367475239e_name,SY520: list_P227219501e_name] :
( ~ ( SV93 @ SY520 )
| ~ ( SV93 @ ( cons_P1213805021e_name @ SY519 @ SY520 ) )
| ( SV93 @ ( cons_P1213805021e_name @ SY518 @ ( cons_P1213805021e_name @ SY519 @ SY520 ) ) ) ) )
= $true )
| ( ( SV93 @ SV165 )
= $true )
| ( ( SV93 @ ( cons_P1213805021e_name @ ( sK30_SY517 @ SV165 @ SV93 ) @ nil_Pr743626285e_name ) )
= $false )
| ( ( SV93 @ nil_Pr743626285e_name )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1128]) ).
thf(1195,plain,
! [SV190: pi,SV125: pi,SV42: list_P227219501e_name] :
( ( ( ( perm_name_pi @ SV42 @ SV125 )
!= ( perm_name_pi @ SV42 @ SV190 ) )
= $false )
| ( ( ( perm_name_pi @ SV42 @ SV125 )
= ( perm_name_pi @ SV42 @ SV190 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1129]) ).
thf(1196,plain,
! [SV42: list_P227219501e_name,SV190: pi,SV125: pi] :
( ( ( SV125 != SV190 )
= $false )
| ( ( ( perm_name_pi @ SV42 @ SV125 )
= ( perm_name_pi @ SV42 @ SV190 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1129]) ).
thf(1197,plain,
! [SV190: pi,SV125: pi,SV42: list_P227219501e_name] :
( ( ( ( perm_name_pi @ SV42 @ SV125 )
!= ( perm_name_pi @ SV42 @ SV190 ) )
= $false )
| ( ( SV125 = SV190 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1130]) ).
thf(1198,plain,
! [SV190: pi,SV125: pi] :
( ( ( SV125 != SV190 )
= $false )
| ( ( SV125 = SV190 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1130]) ).
thf(1199,plain,
! [SV191: pi,SV126: pi,SV43: list_P227219501e_name] :
( ( ( ~ ( perm_name_o @ SV43 @ ( SV126 = SV191 ) ) )
= $false )
| ( ( perm_name_o @ SV43 @ ( SV126 = SV191 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1131]) ).
thf(1200,plain,
! [SV191: pi,SV126: pi,SV43: list_P227219501e_name] :
( ( ( ( perm_name_pi @ SV43 @ SV126 )
!= ( perm_name_pi @ SV43 @ SV191 ) )
= $false )
| ( ( perm_name_o @ SV43 @ ( SV126 = SV191 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1131]) ).
thf(1201,plain,
! [SV191: pi,SV126: pi,SV43: list_P227219501e_name] :
( ( ( ~ ( perm_name_o @ SV43 @ ( SV126 = SV191 ) ) )
= $false )
| ( ( ( perm_name_pi @ SV43 @ SV126 )
= ( perm_name_pi @ SV43 @ SV191 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1132]) ).
thf(1202,plain,
! [SV191: pi,SV126: pi,SV43: list_P227219501e_name] :
( ( ( ( perm_name_pi @ SV43 @ SV126 )
!= ( perm_name_pi @ SV43 @ SV191 ) )
= $false )
| ( ( ( perm_name_pi @ SV43 @ SV126 )
= ( perm_name_pi @ SV43 @ SV191 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1132]) ).
thf(1203,plain,
! [SV47: $o] :
( ( SV47 = $true )
| ( SV47 = $false )
| ( ( SV47 = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1133]) ).
thf(1204,plain,
! [SV47: $o] :
( ( $true = $true )
| ( SV47 = $false )
| ( ( SV47 = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1134]) ).
thf(1205,plain,
! [SV47: $o] :
( ( SV47 = $true )
| ( $true = $false )
| ( ( SV47 = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1135]) ).
thf(1206,plain,
! [SV47: $o] :
( ( $true = $true )
| ( $true = $false )
| ( ( SV47 = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1136]) ).
thf(1207,plain,
! [SV47: $o] :
( ( ( ~ SV47 ) = $false )
| ( SV47 = $false )
| ( ( SV47 = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1137]) ).
thf(1208,plain,
! [SV47: $o] :
( ( ( ~ $false ) = $false )
| ( SV47 = $false )
| ( ( SV47 = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1137]) ).
thf(1209,plain,
! [SV47: $o] :
( ( ( ~ SV47 ) = $false )
| ( $false = $false )
| ( ( SV47 = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1138]) ).
thf(1210,plain,
! [SV47: $o] :
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( ( SV47 = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1138]) ).
thf(1211,plain,
( ( $true = $true )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1139]) ).
thf(1212,plain,
( ( $true = $true )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1140]) ).
thf(1213,plain,
( ( $true = $true )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1141]) ).
thf(1214,plain,
( ( $true = $true )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1142]) ).
thf(1215,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1143]) ).
thf(1216,plain,
( ( ( ~ $false ) = $false )
| ( $true = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1143]) ).
thf(1217,plain,
( ( ( ~ $true ) = $false )
| ( $false = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1144]) ).
thf(1218,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1144]) ).
thf(1219,plain,
( ( $false = $true )
| ( $false = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1145]) ).
thf(1220,plain,
( ( $true = $true )
| ( $false = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1146]) ).
thf(1221,plain,
( ( $false = $true )
| ( $true = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1147]) ).
thf(1222,plain,
( ( $true = $true )
| ( $true = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1148]) ).
thf(1223,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1149]) ).
thf(1224,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1149]) ).
thf(1225,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1150]) ).
thf(1226,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1150]) ).
thf(1227,plain,
! [SV222: name,SV194: name,SV129: name,SV48: name] :
( ( ( ( ( late_OutputR @ SV48 @ SV129 )
!= ( late_OutputR @ SV194 @ SV222 ) )
| ~ ~ ( ( SV48 != SV194 )
| ( SV129 != SV222 ) ) )
= $false )
| ( ( ( late_OutputR @ SV48 @ SV129 )
= ( late_OutputR @ SV194 @ SV222 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1151]) ).
thf(1228,plain,
! [SV222: name,SV129: name,SV194: name,SV48: name] :
( ( ( ( SV48 != SV194 )
| ( SV129 != SV222 ) )
= $true )
| ( ( ~ ( ( ( late_OutputR @ SV48 @ SV129 )
!= ( late_OutputR @ SV194 @ SV222 ) )
| ~ ~ ( ( SV48 != SV194 )
| ( SV129 != SV222 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1152]) ).
thf(1229,plain,
! [SV223: name,SV50: name,SV195: pi,SV130: name] :
( ( ( fresh_name_pi @ SV130 @ SV195 )
= $false )
| ( ( ~ ( fresh_name_pi @ SV50 @ SV195 )
| ( fresh_name_pi @ SV50 @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV130 @ SV223 ) @ nil_Pr743626285e_name ) @ SV195 ) ) )
= $true )
| ( ( SV50 = SV130 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1153]) ).
thf(1230,plain,
! [SV52: produc890461031e_name] :
( ( ( SV52
= ( produc208131031e_name @ ( sK31_SY382 @ SV52 ) @ nil_Pr743626285e_name ) )
= $true )
| ( ( ~ ! [SY383: produc367475239e_name,SY384: list_P227219501e_name,SY385: produc367475239e_name,SY386: list_P227219501e_name] :
( SV52
!= ( produc208131031e_name @ ( cons_P1213805021e_name @ SY383 @ SY384 ) @ ( cons_P1213805021e_name @ SY385 @ SY386 ) ) ) )
= $true )
| ( ( SV52
= ( produc208131031e_name @ nil_Pr743626285e_name @ ( sK5_SY381 @ SV52 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1154]) ).
thf(1231,plain,
! [SV53: produc890461031e_name] :
( ( ( SV53
!= ( produc208131031e_name @ ( cons_P1213805021e_name @ ( sK24_SY388 @ SV53 ) @ ( sK32_SY685 @ SV53 ) ) @ ( sK37_SY691 @ SV53 ) ) )
= $false )
| ( ( SV53
= ( produc208131031e_name @ nil_Pr743626285e_name @ ( sK6_SY387 @ SV53 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1155]) ).
thf(1232,plain,
! [SV225: pi,SV197: late_freeRes,SV134: pi,SV57: late_freeRes] :
( ( ( ( ( late_FreeR @ SV57 @ SV134 )
!= ( late_FreeR @ SV197 @ SV225 ) )
| ~ ~ ( ( SV57 != SV197 )
| ( SV134 != SV225 ) ) )
= $false )
| ( ( ( late_FreeR @ SV57 @ SV134 )
= ( late_FreeR @ SV197 @ SV225 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1157]) ).
thf(1233,plain,
! [SV225: pi,SV134: pi,SV197: late_freeRes,SV57: late_freeRes] :
( ( ( ( SV57 != SV197 )
| ( SV134 != SV225 ) )
= $true )
| ( ( ~ ( ( ( late_FreeR @ SV57 @ SV134 )
!= ( late_FreeR @ SV197 @ SV225 ) )
| ~ ~ ( ( SV57 != SV197 )
| ( SV134 != SV225 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1158]) ).
thf(1234,plain,
! [SV135: late_residual,SV58: late_residual > $o] :
( ( ( ! [SY408: late_freeRes,SY409: pi] : ( SV58 @ ( late_FreeR @ SY408 @ SY409 ) ) )
= $false )
| ( ( SV58 @ SV135 )
= $true )
| ( ( SV58 @ ( late_BoundR @ ( sK12_SY405 @ SV135 @ SV58 ) @ ( sK17_SY680 @ SV135 @ SV58 ) @ ( sK25_SY683 @ SV135 @ SV58 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1159]) ).
thf(1235,plain,
! [SV226: name,SV200: name,SV140: name,SV63: name] :
( ( ( ( ( late_OutputR @ SV63 @ SV140 )
!= ( late_OutputR @ SV200 @ SV226 ) )
| ~ ~ ( ( SV63 != SV200 )
| ( SV140 != SV226 ) ) )
= $false )
| ( ( ( late_OutputR @ SV63 @ SV140 )
= ( late_OutputR @ SV200 @ SV226 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1160]) ).
thf(1236,plain,
! [SV226: name,SV140: name,SV200: name,SV63: name] :
( ( ( ( SV63 != SV200 )
| ( SV140 != SV226 ) )
= $true )
| ( ( ~ ( ( ( late_OutputR @ SV63 @ SV140 )
!= ( late_OutputR @ SV200 @ SV226 ) )
| ~ ~ ( ( SV63 != SV200 )
| ( SV140 != SV226 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1161]) ).
thf(1237,plain,
! [SV64: produc1872410278e_name] :
( ( ( SV64
!= ( produc1069608854e_name @ ( sK33_SY422 @ SV64 ) @ ( cons_P1213805021e_name @ ( sK38_SY692 @ SV64 ) @ nil_Pr743626285e_name ) ) )
= $false )
| ( ( ~ ! [SY424: produc367475239e_name > produc367475239e_name > $o,SY425: produc367475239e_name,SY426: produc367475239e_name,SY427: list_P227219501e_name] :
( SV64
!= ( produc1069608854e_name @ SY424 @ ( cons_P1213805021e_name @ SY425 @ ( cons_P1213805021e_name @ SY426 @ SY427 ) ) ) ) )
= $true )
| ( ( SV64
= ( produc1069608854e_name @ ( sK7_SY421 @ SV64 ) @ nil_Pr743626285e_name ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1162]) ).
thf(1238,plain,
! [SV65: produc1872410278e_name] :
( ( ( SV65
!= ( produc1069608854e_name @ ( sK26_SY429 @ SV65 ) @ ( cons_P1213805021e_name @ ( sK34_SY687 @ SV65 ) @ ( sK39_SY693 @ SV65 ) ) ) )
= $false )
| ( ( SV65
= ( produc1069608854e_name @ ( sK8_SY428 @ SV65 ) @ nil_Pr743626285e_name ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1163]) ).
thf(1239,plain,
! [SV141: list_P227219501e_name,SV66: list_P227219501e_name > $o] :
( ( ( ~ ( SV66 @ ( sK35_SY689 @ SV141 @ SV66 ) ) )
= $false )
| ( ( SV66 @ SV141 )
= $true )
| ( ( SV66 @ nil_Pr743626285e_name )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1164]) ).
thf(1240,plain,
! [SV141: list_P227219501e_name,SV66: list_P227219501e_name > $o] :
( ( ( SV66 @ ( cons_P1213805021e_name @ ( sK27_SY433 @ SV141 @ SV66 ) @ ( sK35_SY689 @ SV141 @ SV66 ) ) )
= $false )
| ( ( SV66 @ SV141 )
= $true )
| ( ( SV66 @ nil_Pr743626285e_name )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1164]) ).
thf(1241,plain,
! [SV143: list_P227219501e_name,SV201: list_P227219501e_name,SV69: list_P227219501e_name > list_P227219501e_name > $o] :
( ( ( SV69 @ ( cons_P1213805021e_name @ ( sK36_SY440 @ SV201 @ SV143 @ SV69 ) @ ( sK40_SY694 @ SV143 @ SV201 @ SV69 ) ) @ nil_Pr743626285e_name )
= $false )
| ( ( ~ ! [SY442: produc367475239e_name,SY443: list_P227219501e_name] : ( SV69 @ nil_Pr743626285e_name @ ( cons_P1213805021e_name @ SY442 @ SY443 ) )
| ~ ! [SY444: produc367475239e_name,SY445: list_P227219501e_name,SY446: produc367475239e_name,SY447: list_P227219501e_name] :
( ~ ( SV69 @ SY445 @ SY447 )
| ( SV69 @ ( cons_P1213805021e_name @ SY444 @ SY445 ) @ ( cons_P1213805021e_name @ SY446 @ SY447 ) ) )
| ( SV69 @ SV143 @ SV201 ) )
= $true )
| ( ( SV69 @ nil_Pr743626285e_name @ nil_Pr743626285e_name )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1165]) ).
thf(1242,plain,
! [SV227: name,SV203: name,SV145: name,SV71: name] :
( ( ( ( ( produc1570949143e_name @ SV71 @ SV145 )
!= ( produc1570949143e_name @ SV203 @ SV227 ) )
| ~ ~ ( ( SV71 != SV203 )
| ( SV145 != SV227 ) ) )
= $false )
| ( ( ( produc1570949143e_name @ SV71 @ SV145 )
= ( produc1570949143e_name @ SV203 @ SV227 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1166]) ).
thf(1243,plain,
! [SV227: name,SV145: name,SV203: name,SV71: name] :
( ( ( ( SV71 != SV203 )
| ( SV145 != SV227 ) )
= $true )
| ( ( ~ ( ( ( produc1570949143e_name @ SV71 @ SV145 )
!= ( produc1570949143e_name @ SV203 @ SV227 ) )
| ~ ~ ( ( SV71 != SV203 )
| ( SV145 != SV227 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1167]) ).
thf(1244,plain,
! [SV204: name,SV146: name,SV72: name] :
( ( ( SV72 = SV146 )
= $true )
| ( ( ~ ( ~ ( ( SV204 != SV146 )
| ( ( swap_name2 @ ( produc1570949143e_name @ SV72 @ SV204 ) @ SV146 )
= SV72 ) )
| ~ ( ~ ( ( SV204 != SV146 ) )
| ( ( swap_name2 @ ( produc1570949143e_name @ SV72 @ SV204 ) @ SV146 )
= SV146 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1169]) ).
thf(1245,plain,
! [SV73: name,SV147: name,SV205: name] :
( ( ( SV205 = SV147 )
= $true )
| ( ( ( perm_name_name @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV73 @ SV205 ) @ nil_Pr743626285e_name ) @ SV147 )
= SV147 )
= $true )
| ( ( SV73 = SV147 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1170]) ).
thf(1246,plain,
! [SV228: name,SV148: name,SV206: name,SV74: name] :
( ( ( SV74 = SV206 )
= $true )
| ( ( ( produc1570949143e_name @ SV74 @ SV148 )
= ( produc1570949143e_name @ SV206 @ SV228 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1171]) ).
thf(1247,plain,
! [SV206: name,SV74: name,SV228: name,SV148: name] :
( ( ( SV148 = SV228 )
= $true )
| ( ( ( produc1570949143e_name @ SV74 @ SV148 )
= ( produc1570949143e_name @ SV206 @ SV228 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1172]) ).
thf(1248,plain,
! [SV75: list_P227219501e_name] :
( ( ( ! [SY461: produc367475239e_name,SY462: produc367475239e_name,SY463: list_P227219501e_name] :
( SV75
!= ( cons_P1213805021e_name @ SY461 @ ( cons_P1213805021e_name @ SY462 @ SY463 ) ) ) )
= $false )
| ( ( SV75
= ( cons_P1213805021e_name @ ( sK28_SY460 @ SV75 ) @ nil_Pr743626285e_name ) )
= $true )
| ( ( SV75 = nil_Pr743626285e_name )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1173]) ).
thf(1249,plain,
! [SV150: list_P227219501e_name,SV208: list_P227219501e_name,SV77: list_P227219501e_name > list_P227219501e_name > $o] :
( ( ( SV77 @ ( sK41_SY469 @ SV208 @ SV150 @ SV77 ) @ nil_Pr743626285e_name )
= $false )
| ( ( ~ ! [SY470: produc367475239e_name,SY471: list_P227219501e_name,SY472: produc367475239e_name,SY473: list_P227219501e_name] :
( ~ ( SV77 @ SY471 @ ( cons_P1213805021e_name @ SY472 @ SY473 ) )
| ~ ( SV77 @ ( cons_P1213805021e_name @ SY470 @ SY471 ) @ SY473 )
| ( SV77 @ ( cons_P1213805021e_name @ SY470 @ SY471 ) @ ( cons_P1213805021e_name @ SY472 @ SY473 ) ) )
| ( SV77 @ SV150 @ SV208 ) )
= $true )
| ( ( SV77 @ nil_Pr743626285e_name @ ( sK19_SY468 @ SV208 @ SV150 @ SV77 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1174]) ).
thf(1250,plain,
! [SV210: name,SV152: name,SV79: name] :
( ( ( SV79 = SV152 )
= $true )
| ( ( ~ ( ~ ( ( SV210 != SV152 )
| ( ( swap_name @ ( produc1570949143e_name @ SV79 @ SV210 ) @ SV152 )
= SV79 ) )
| ~ ( ~ ( ( SV210 != SV152 ) )
| ( ( swap_name @ ( produc1570949143e_name @ SV79 @ SV210 ) @ SV152 )
= SV152 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1177]) ).
thf(1251,plain,
! [SV153: list_P227219501e_name,SV211: list_P227219501e_name,SV80: list_P227219501e_name > list_P227219501e_name > $o] :
( ( ( ! [SY695: list_P227219501e_name,SY696: list_P227219501e_name] :
( ~ ( SV80 @ SY696 @ SY695 )
| ( SV80 @ ( cons_P1213805021e_name @ ( sK42_SY482 @ SV211 @ SV153 @ SV80 ) @ SY695 ) @ SY696 ) ) )
= $false )
| ( ( SV80 @ SV153 @ SV211 )
= $true )
| ( ( SV80 @ nil_Pr743626285e_name @ ( sK20_SY481 @ SV211 @ SV153 @ SV80 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1178]) ).
thf(1252,plain,
! [SV230: name,SV212: name,SV155: name,SV82: name] :
( ( ( ( ( produc1570949143e_name @ SV82 @ SV155 )
!= ( produc1570949143e_name @ SV212 @ SV230 ) )
| ~ ~ ( ( SV82 != SV212 )
| ( SV155 != SV230 ) ) )
= $false )
| ( ( ( produc1570949143e_name @ SV82 @ SV155 )
= ( produc1570949143e_name @ SV212 @ SV230 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1179]) ).
thf(1253,plain,
! [SV230: name,SV155: name,SV212: name,SV82: name] :
( ( ( ( SV82 != SV212 )
| ( SV155 != SV230 ) )
= $true )
| ( ( ~ ( ( ( produc1570949143e_name @ SV82 @ SV155 )
!= ( produc1570949143e_name @ SV212 @ SV230 ) )
| ~ ~ ( ( SV82 != SV212 )
| ( SV155 != SV230 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1180]) ).
thf(1254,plain,
! [SV84: list_P227219501e_name] :
( ( ( SV84 != nil_Pr743626285e_name )
= $true )
| ( ( SV84 = nil_Pr743626285e_name )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1181]) ).
thf(1255,plain,
! [SV84: list_P227219501e_name] :
( ( ( ~ ! [SY491: produc367475239e_name] :
~ ~ ! [SY492: list_P227219501e_name] :
( SV84
!= ( cons_P1213805021e_name @ SY491 @ SY492 ) ) )
= $true )
| ( ( SV84 = nil_Pr743626285e_name )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1182]) ).
thf(1256,plain,
! [SV239: produc367475239e_name,SV84: list_P227219501e_name] :
( ( ( ! [SY690: list_P227219501e_name] :
( SV84
!= ( cons_P1213805021e_name @ SV239 @ SY690 ) ) )
= $true )
| ( ( ~ ( ~ ( ( SV84 != nil_Pr743626285e_name ) )
| ~ ~ ! [SY491: produc367475239e_name] :
~ ~ ! [SY492: list_P227219501e_name] :
( SV84
!= ( cons_P1213805021e_name @ SY491 @ SY492 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1183]) ).
thf(1257,plain,
! [SV231: list_P227219501e_name,SV213: produc367475239e_name,SV156: list_P227219501e_name,SV86: produc367475239e_name] :
( ( ( ( ( cons_P1213805021e_name @ SV86 @ SV156 )
!= ( cons_P1213805021e_name @ SV213 @ SV231 ) )
| ~ ~ ( ( SV86 != SV213 )
| ( SV156 != SV231 ) ) )
= $false )
| ( ( ( cons_P1213805021e_name @ SV86 @ SV156 )
= ( cons_P1213805021e_name @ SV213 @ SV231 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1185]) ).
thf(1258,plain,
! [SV231: list_P227219501e_name,SV156: list_P227219501e_name,SV213: produc367475239e_name,SV86: produc367475239e_name] :
( ( ( ( SV86 != SV213 )
| ( SV156 != SV231 ) )
= $true )
| ( ( ~ ( ( ( cons_P1213805021e_name @ SV86 @ SV156 )
!= ( cons_P1213805021e_name @ SV213 @ SV231 ) )
| ~ ~ ( ( SV86 != SV213 )
| ( SV156 != SV231 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1186]) ).
thf(1259,plain,
! [SV232: pi,SV214: pi,SV157: list_P227219501e_name,SV87: $o] :
( ( SV87 = $false )
| ( ( ( perm_name_pi @ SV157 @ ( if_pi @ SV87 @ SV214 @ SV232 ) )
= ( perm_name_pi @ SV157 @ SV214 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1187]) ).
thf(1260,plain,
! [SV232: pi,SV214: pi,SV157: list_P227219501e_name,SV87: $o] :
( ( ( ~ SV87 ) = $false )
| ( ( ( perm_name_pi @ SV157 @ ( if_pi @ SV87 @ SV214 @ SV232 ) )
= ( perm_name_pi @ SV157 @ SV232 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1188]) ).
thf(1261,plain,
! [SV233: pi,SV215: pi,SV158: list_P227219501e_name] :
( ( $true = $false )
| ( ( ( perm_name_pi @ SV158 @ ( if_pi @ $true @ SV215 @ SV233 ) )
= ( perm_name_pi @ SV158 @ SV215 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1189]) ).
thf(1262,plain,
! [SV233: pi,SV215: pi,SV158: list_P227219501e_name] :
( ( ( ~ $true ) = $false )
| ( ( ( perm_name_pi @ SV158 @ ( if_pi @ $true @ SV215 @ SV233 ) )
= ( perm_name_pi @ SV158 @ SV233 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1190]) ).
thf(1263,plain,
! [SV234: pi,SV216: pi,SV159: list_P227219501e_name] :
( ( $false = $false )
| ( ( ( perm_name_pi @ SV159 @ ( if_pi @ $false @ SV216 @ SV234 ) )
= ( perm_name_pi @ SV159 @ SV216 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1191]) ).
thf(1264,plain,
! [SV234: pi,SV216: pi,SV159: list_P227219501e_name] :
( ( ( ~ $false ) = $false )
| ( ( ( perm_name_pi @ SV159 @ ( if_pi @ $false @ SV216 @ SV234 ) )
= ( perm_name_pi @ SV159 @ SV234 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1192]) ).
thf(1265,plain,
! [SV162: produc367475239e_name > produc367475239e_name > $o,SV219: list_P227219501e_name,SV90: ( produc367475239e_name > produc367475239e_name > $o ) > list_P227219501e_name > $o] :
( ( ( ! [SY697: produc367475239e_name,SY698: list_P227219501e_name] :
( ~ ( SV90 @ ( sK43_SY510 @ SV219 @ SV162 @ SV90 ) @ SY698 )
| ( SV90 @ ( sK43_SY510 @ SV219 @ SV162 @ SV90 ) @ ( cons_P1213805021e_name @ SY697 @ SY698 ) ) ) )
= $false )
| ( ( SV90 @ SV162 @ SV219 )
= $true )
| ( ( SV90 @ ( sK23_SY509 @ SV219 @ SV162 @ SV90 ) @ nil_Pr743626285e_name )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1193]) ).
thf(1266,plain,
! [SV165: list_P227219501e_name,SV93: list_P227219501e_name > $o] :
( ( ( ! [SY518: produc367475239e_name,SY519: produc367475239e_name,SY520: list_P227219501e_name] :
( ~ ( SV93 @ SY520 )
| ~ ( SV93 @ ( cons_P1213805021e_name @ SY519 @ SY520 ) )
| ( SV93 @ ( cons_P1213805021e_name @ SY518 @ ( cons_P1213805021e_name @ SY519 @ SY520 ) ) ) ) )
= $false )
| ( ( SV93 @ SV165 )
= $true )
| ( ( SV93 @ ( cons_P1213805021e_name @ ( sK30_SY517 @ SV165 @ SV93 ) @ nil_Pr743626285e_name ) )
= $false )
| ( ( SV93 @ nil_Pr743626285e_name )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1194]) ).
thf(1267,plain,
! [SV190: pi,SV125: pi,SV42: list_P227219501e_name] :
( ( ( ( perm_name_pi @ SV42 @ SV125 )
= ( perm_name_pi @ SV42 @ SV190 ) )
= $true )
| ( ( ( perm_name_pi @ SV42 @ SV125 )
= ( perm_name_pi @ SV42 @ SV190 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1195]) ).
thf(1268,plain,
! [SV42: list_P227219501e_name,SV190: pi,SV125: pi] :
( ( ( SV125 = SV190 )
= $true )
| ( ( ( perm_name_pi @ SV42 @ SV125 )
= ( perm_name_pi @ SV42 @ SV190 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1196]) ).
thf(1269,plain,
! [SV190: pi,SV125: pi,SV42: list_P227219501e_name] :
( ( ( ( perm_name_pi @ SV42 @ SV125 )
= ( perm_name_pi @ SV42 @ SV190 ) )
= $true )
| ( ( SV125 = SV190 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1197]) ).
thf(1270,plain,
! [SV190: pi,SV125: pi] :
( ( ( SV125 = SV190 )
= $true )
| ( ( SV125 = SV190 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1198]) ).
thf(1271,plain,
! [SV191: pi,SV126: pi,SV43: list_P227219501e_name] :
( ( ( perm_name_o @ SV43 @ ( SV126 = SV191 ) )
= $true )
| ( ( perm_name_o @ SV43 @ ( SV126 = SV191 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1199]) ).
thf(1272,plain,
! [SV191: pi,SV126: pi,SV43: list_P227219501e_name] :
( ( ( ( perm_name_pi @ SV43 @ SV126 )
= ( perm_name_pi @ SV43 @ SV191 ) )
= $true )
| ( ( perm_name_o @ SV43 @ ( SV126 = SV191 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1200]) ).
thf(1273,plain,
! [SV191: pi,SV126: pi,SV43: list_P227219501e_name] :
( ( ( perm_name_o @ SV43 @ ( SV126 = SV191 ) )
= $true )
| ( ( ( perm_name_pi @ SV43 @ SV126 )
= ( perm_name_pi @ SV43 @ SV191 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1201]) ).
thf(1274,plain,
! [SV191: pi,SV126: pi,SV43: list_P227219501e_name] :
( ( ( ( perm_name_pi @ SV43 @ SV126 )
= ( perm_name_pi @ SV43 @ SV191 ) )
= $true )
| ( ( ( perm_name_pi @ SV43 @ SV126 )
= ( perm_name_pi @ SV43 @ SV191 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1202]) ).
thf(1275,plain,
! [SV47: $o] :
( ( ( ~ ( SV47
| $false )
| ~ ( ~ SV47
| ~ $false ) )
= $true )
| ( SV47 = $false )
| ( SV47 = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1203]) ).
thf(1276,plain,
! [SV47: $o] :
( ( ( SV47 = $false )
= $true )
| ( SV47 = $false )
| ( SV47 = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1203]) ).
thf(1277,plain,
! [SV47: $o] :
( ( ( ~ ( SV47
| $false )
| ~ ( ~ SV47
| ~ $false ) )
= $true )
| ( SV47 = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1204]) ).
thf(1278,plain,
! [SV47: $o] :
( ( ( SV47 = $false )
= $true )
| ( SV47 = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1204]) ).
thf(1279,plain,
! [SV47: $o] :
( ( ( ~ ( SV47
| $false )
| ~ ( ~ SV47
| ~ $false ) )
= $true )
| ( $true = $false )
| ( SV47 = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1205]) ).
thf(1280,plain,
! [SV47: $o] :
( ( ( SV47 = $false )
= $true )
| ( $true = $false )
| ( SV47 = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1205]) ).
thf(1281,plain,
! [SV47: $o] :
( ( ( ~ ( SV47
| $false )
| ~ ( ~ SV47
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1206]) ).
thf(1282,plain,
! [SV47: $o] :
( ( ( SV47 = $false )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1206]) ).
thf(1283,plain,
! [SV47: $o] :
( ( SV47 = $true )
| ( SV47 = $false )
| ( ( SV47 = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1207]) ).
thf(1284,plain,
! [SV47: $o] :
( ( $false = $true )
| ( SV47 = $false )
| ( ( SV47 = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1208]) ).
thf(1285,plain,
! [SV47: $o] :
( ( SV47 = $true )
| ( $false = $false )
| ( ( SV47 = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1209]) ).
thf(1286,plain,
! [SV47: $o] :
( ( $false = $true )
| ( $false = $false )
| ( ( SV47 = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1210]) ).
thf(1287,plain,
( ( ( ~ ( $true
| $false )
| ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1211]) ).
thf(1288,plain,
( ( ( $true = $false )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1211]) ).
thf(1289,plain,
( ( ( ~ ( $true
| $false )
| ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1212]) ).
thf(1290,plain,
( ( ( $true = $false )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1212]) ).
thf(1291,plain,
( ( ( ~ ( $true
| $false )
| ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1213]) ).
thf(1292,plain,
( ( ( $true = $false )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1213]) ).
thf(1293,plain,
( ( ( ~ ( $true
| $false )
| ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1214]) ).
thf(1294,plain,
( ( ( $true = $false )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1214]) ).
thf(1295,plain,
( ( $true = $true )
| ( $true = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1215]) ).
thf(1296,plain,
( ( $false = $true )
| ( $true = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1216]) ).
thf(1297,plain,
( ( $true = $true )
| ( $false = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1217]) ).
thf(1298,plain,
( ( $false = $true )
| ( $false = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1218]) ).
thf(1299,plain,
( ( ( ~ ( $false
| $false )
| ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1219]) ).
thf(1300,plain,
( ( ( $false = $false )
= $true )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1219]) ).
thf(1301,plain,
( ( ( ~ ( $false
| $false )
| ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1220]) ).
thf(1302,plain,
( ( ( $false = $false )
= $true )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1220]) ).
thf(1303,plain,
( ( ( ~ ( $false
| $false )
| ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1221]) ).
thf(1304,plain,
( ( ( $false = $false )
= $true )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1221]) ).
thf(1305,plain,
( ( ( ~ ( $false
| $false )
| ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1222]) ).
thf(1306,plain,
( ( ( $false = $false )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1222]) ).
thf(1307,plain,
( ( $false = $true )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1223]) ).
thf(1308,plain,
( ( $false = $true )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1224]) ).
thf(1309,plain,
( ( $false = $true )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1225]) ).
thf(1310,plain,
( ( $false = $true )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1226]) ).
thf(1311,plain,
! [SV222: name,SV194: name,SV129: name,SV48: name] :
( ( ( ( late_OutputR @ SV48 @ SV129 )
!= ( late_OutputR @ SV194 @ SV222 ) )
= $false )
| ( ( ( late_OutputR @ SV48 @ SV129 )
= ( late_OutputR @ SV194 @ SV222 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1227]) ).
thf(1312,plain,
! [SV222: name,SV129: name,SV194: name,SV48: name] :
( ( ( ~ ~ ( ( SV48 != SV194 )
| ( SV129 != SV222 ) ) )
= $false )
| ( ( ( late_OutputR @ SV48 @ SV129 )
= ( late_OutputR @ SV194 @ SV222 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1227]) ).
thf(1313,plain,
! [SV222: name,SV129: name,SV194: name,SV48: name] :
( ( ( SV48 != SV194 )
= $true )
| ( ( SV129 != SV222 )
= $true )
| ( ( ~ ( ( ( late_OutputR @ SV48 @ SV129 )
!= ( late_OutputR @ SV194 @ SV222 ) )
| ~ ~ ( ( SV48 != SV194 )
| ( SV129 != SV222 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1228]) ).
thf(1314,plain,
! [SV223: name,SV130: name,SV195: pi,SV50: name] :
( ( ( ~ ( fresh_name_pi @ SV50 @ SV195 ) )
= $true )
| ( ( fresh_name_pi @ SV50 @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV130 @ SV223 ) @ nil_Pr743626285e_name ) @ SV195 ) )
= $true )
| ( ( fresh_name_pi @ SV130 @ SV195 )
= $false )
| ( ( SV50 = SV130 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1229]) ).
thf(1315,plain,
! [SV52: produc890461031e_name] :
( ( ( ! [SY383: produc367475239e_name,SY384: list_P227219501e_name,SY385: produc367475239e_name,SY386: list_P227219501e_name] :
( SV52
!= ( produc208131031e_name @ ( cons_P1213805021e_name @ SY383 @ SY384 ) @ ( cons_P1213805021e_name @ SY385 @ SY386 ) ) ) )
= $false )
| ( ( SV52
= ( produc208131031e_name @ ( sK31_SY382 @ SV52 ) @ nil_Pr743626285e_name ) )
= $true )
| ( ( SV52
= ( produc208131031e_name @ nil_Pr743626285e_name @ ( sK5_SY381 @ SV52 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1230]) ).
thf(1316,plain,
! [SV53: produc890461031e_name] :
( ( ( SV53
= ( produc208131031e_name @ ( cons_P1213805021e_name @ ( sK24_SY388 @ SV53 ) @ ( sK32_SY685 @ SV53 ) ) @ ( sK37_SY691 @ SV53 ) ) )
= $true )
| ( ( SV53
= ( produc208131031e_name @ nil_Pr743626285e_name @ ( sK6_SY387 @ SV53 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1231]) ).
thf(1317,plain,
! [SV225: pi,SV197: late_freeRes,SV134: pi,SV57: late_freeRes] :
( ( ( ( late_FreeR @ SV57 @ SV134 )
!= ( late_FreeR @ SV197 @ SV225 ) )
= $false )
| ( ( ( late_FreeR @ SV57 @ SV134 )
= ( late_FreeR @ SV197 @ SV225 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1232]) ).
thf(1318,plain,
! [SV225: pi,SV134: pi,SV197: late_freeRes,SV57: late_freeRes] :
( ( ( ~ ~ ( ( SV57 != SV197 )
| ( SV134 != SV225 ) ) )
= $false )
| ( ( ( late_FreeR @ SV57 @ SV134 )
= ( late_FreeR @ SV197 @ SV225 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1232]) ).
thf(1319,plain,
! [SV225: pi,SV134: pi,SV197: late_freeRes,SV57: late_freeRes] :
( ( ( SV57 != SV197 )
= $true )
| ( ( SV134 != SV225 )
= $true )
| ( ( ~ ( ( ( late_FreeR @ SV57 @ SV134 )
!= ( late_FreeR @ SV197 @ SV225 ) )
| ~ ~ ( ( SV57 != SV197 )
| ( SV134 != SV225 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1233]) ).
thf(1320,plain,
! [SV135: late_residual,SV58: late_residual > $o] :
( ( ( ! [SY699: pi] : ( SV58 @ ( late_FreeR @ ( sK44_SY408 @ SV135 @ SV58 ) @ SY699 ) ) )
= $false )
| ( ( SV58 @ SV135 )
= $true )
| ( ( SV58 @ ( late_BoundR @ ( sK12_SY405 @ SV135 @ SV58 ) @ ( sK17_SY680 @ SV135 @ SV58 ) @ ( sK25_SY683 @ SV135 @ SV58 ) ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1234]) ).
thf(1321,plain,
! [SV226: name,SV200: name,SV140: name,SV63: name] :
( ( ( ( late_OutputR @ SV63 @ SV140 )
!= ( late_OutputR @ SV200 @ SV226 ) )
= $false )
| ( ( ( late_OutputR @ SV63 @ SV140 )
= ( late_OutputR @ SV200 @ SV226 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1235]) ).
thf(1322,plain,
! [SV226: name,SV140: name,SV200: name,SV63: name] :
( ( ( ~ ~ ( ( SV63 != SV200 )
| ( SV140 != SV226 ) ) )
= $false )
| ( ( ( late_OutputR @ SV63 @ SV140 )
= ( late_OutputR @ SV200 @ SV226 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1235]) ).
thf(1323,plain,
! [SV226: name,SV140: name,SV200: name,SV63: name] :
( ( ( SV63 != SV200 )
= $true )
| ( ( SV140 != SV226 )
= $true )
| ( ( ~ ( ( ( late_OutputR @ SV63 @ SV140 )
!= ( late_OutputR @ SV200 @ SV226 ) )
| ~ ~ ( ( SV63 != SV200 )
| ( SV140 != SV226 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1236]) ).
thf(1324,plain,
! [SV64: produc1872410278e_name] :
( ( ( SV64
= ( produc1069608854e_name @ ( sK33_SY422 @ SV64 ) @ ( cons_P1213805021e_name @ ( sK38_SY692 @ SV64 ) @ nil_Pr743626285e_name ) ) )
= $true )
| ( ( ~ ! [SY424: produc367475239e_name > produc367475239e_name > $o,SY425: produc367475239e_name,SY426: produc367475239e_name,SY427: list_P227219501e_name] :
( SV64
!= ( produc1069608854e_name @ SY424 @ ( cons_P1213805021e_name @ SY425 @ ( cons_P1213805021e_name @ SY426 @ SY427 ) ) ) ) )
= $true )
| ( ( SV64
= ( produc1069608854e_name @ ( sK7_SY421 @ SV64 ) @ nil_Pr743626285e_name ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1237]) ).
thf(1325,plain,
! [SV65: produc1872410278e_name] :
( ( ( SV65
= ( produc1069608854e_name @ ( sK26_SY429 @ SV65 ) @ ( cons_P1213805021e_name @ ( sK34_SY687 @ SV65 ) @ ( sK39_SY693 @ SV65 ) ) ) )
= $true )
| ( ( SV65
= ( produc1069608854e_name @ ( sK8_SY428 @ SV65 ) @ nil_Pr743626285e_name ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1238]) ).
thf(1326,plain,
! [SV141: list_P227219501e_name,SV66: list_P227219501e_name > $o] :
( ( ( SV66 @ ( sK35_SY689 @ SV141 @ SV66 ) )
= $true )
| ( ( SV66 @ SV141 )
= $true )
| ( ( SV66 @ nil_Pr743626285e_name )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1239]) ).
thf(1327,plain,
! [SV201: list_P227219501e_name,SV143: list_P227219501e_name,SV69: list_P227219501e_name > list_P227219501e_name > $o] :
( ( ( ~ ! [SY442: produc367475239e_name,SY443: list_P227219501e_name] : ( SV69 @ nil_Pr743626285e_name @ ( cons_P1213805021e_name @ SY442 @ SY443 ) ) )
= $true )
| ( ( ~ ! [SY444: produc367475239e_name,SY445: list_P227219501e_name,SY446: produc367475239e_name,SY447: list_P227219501e_name] :
( ~ ( SV69 @ SY445 @ SY447 )
| ( SV69 @ ( cons_P1213805021e_name @ SY444 @ SY445 ) @ ( cons_P1213805021e_name @ SY446 @ SY447 ) ) )
| ( SV69 @ SV143 @ SV201 ) )
= $true )
| ( ( SV69 @ ( cons_P1213805021e_name @ ( sK36_SY440 @ SV201 @ SV143 @ SV69 ) @ ( sK40_SY694 @ SV143 @ SV201 @ SV69 ) ) @ nil_Pr743626285e_name )
= $false )
| ( ( SV69 @ nil_Pr743626285e_name @ nil_Pr743626285e_name )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1241]) ).
thf(1328,plain,
! [SV227: name,SV203: name,SV145: name,SV71: name] :
( ( ( ( produc1570949143e_name @ SV71 @ SV145 )
!= ( produc1570949143e_name @ SV203 @ SV227 ) )
= $false )
| ( ( ( produc1570949143e_name @ SV71 @ SV145 )
= ( produc1570949143e_name @ SV203 @ SV227 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1242]) ).
thf(1329,plain,
! [SV227: name,SV145: name,SV203: name,SV71: name] :
( ( ( ~ ~ ( ( SV71 != SV203 )
| ( SV145 != SV227 ) ) )
= $false )
| ( ( ( produc1570949143e_name @ SV71 @ SV145 )
= ( produc1570949143e_name @ SV203 @ SV227 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1242]) ).
thf(1330,plain,
! [SV227: name,SV145: name,SV203: name,SV71: name] :
( ( ( SV71 != SV203 )
= $true )
| ( ( SV145 != SV227 )
= $true )
| ( ( ~ ( ( ( produc1570949143e_name @ SV71 @ SV145 )
!= ( produc1570949143e_name @ SV203 @ SV227 ) )
| ~ ~ ( ( SV71 != SV203 )
| ( SV145 != SV227 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1243]) ).
thf(1331,plain,
! [SV72: name,SV146: name,SV204: name] :
( ( ( ~ ( ( SV204 != SV146 )
| ( ( swap_name2 @ ( produc1570949143e_name @ SV72 @ SV204 ) @ SV146 )
= SV72 ) )
| ~ ( ~ ( ( SV204 != SV146 ) )
| ( ( swap_name2 @ ( produc1570949143e_name @ SV72 @ SV204 ) @ SV146 )
= SV146 ) ) )
= $false )
| ( ( SV72 = SV146 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1244]) ).
thf(1332,plain,
! [SV75: list_P227219501e_name] :
( ( ( ! [SY700: produc367475239e_name,SY701: list_P227219501e_name] :
( SV75
!= ( cons_P1213805021e_name @ ( sK45_SY461 @ SV75 ) @ ( cons_P1213805021e_name @ SY700 @ SY701 ) ) ) )
= $false )
| ( ( SV75
= ( cons_P1213805021e_name @ ( sK28_SY460 @ SV75 ) @ nil_Pr743626285e_name ) )
= $true )
| ( ( SV75 = nil_Pr743626285e_name )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1248]) ).
thf(1333,plain,
! [SV208: list_P227219501e_name,SV150: list_P227219501e_name,SV77: list_P227219501e_name > list_P227219501e_name > $o] :
( ( ( ~ ! [SY470: produc367475239e_name,SY471: list_P227219501e_name,SY472: produc367475239e_name,SY473: list_P227219501e_name] :
( ~ ( SV77 @ SY471 @ ( cons_P1213805021e_name @ SY472 @ SY473 ) )
| ~ ( SV77 @ ( cons_P1213805021e_name @ SY470 @ SY471 ) @ SY473 )
| ( SV77 @ ( cons_P1213805021e_name @ SY470 @ SY471 ) @ ( cons_P1213805021e_name @ SY472 @ SY473 ) ) ) )
= $true )
| ( ( SV77 @ SV150 @ SV208 )
= $true )
| ( ( SV77 @ ( sK41_SY469 @ SV208 @ SV150 @ SV77 ) @ nil_Pr743626285e_name )
= $false )
| ( ( SV77 @ nil_Pr743626285e_name @ ( sK19_SY468 @ SV208 @ SV150 @ SV77 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1249]) ).
thf(1334,plain,
! [SV79: name,SV152: name,SV210: name] :
( ( ( ~ ( ( SV210 != SV152 )
| ( ( swap_name @ ( produc1570949143e_name @ SV79 @ SV210 ) @ SV152 )
= SV79 ) )
| ~ ( ~ ( ( SV210 != SV152 ) )
| ( ( swap_name @ ( produc1570949143e_name @ SV79 @ SV210 ) @ SV152 )
= SV152 ) ) )
= $false )
| ( ( SV79 = SV152 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1250]) ).
thf(1335,plain,
! [SV211: list_P227219501e_name,SV153: list_P227219501e_name,SV80: list_P227219501e_name > list_P227219501e_name > $o] :
( ( ( ! [SY702: list_P227219501e_name] :
( ~ ( SV80 @ SY702 @ ( sK46_SY695 @ SV153 @ SV211 @ SV80 ) )
| ( SV80 @ ( cons_P1213805021e_name @ ( sK42_SY482 @ SV211 @ SV153 @ SV80 ) @ ( sK46_SY695 @ SV153 @ SV211 @ SV80 ) ) @ SY702 ) ) )
= $false )
| ( ( SV80 @ SV153 @ SV211 )
= $true )
| ( ( SV80 @ nil_Pr743626285e_name @ ( sK20_SY481 @ SV211 @ SV153 @ SV80 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1251]) ).
thf(1336,plain,
! [SV230: name,SV212: name,SV155: name,SV82: name] :
( ( ( ( produc1570949143e_name @ SV82 @ SV155 )
!= ( produc1570949143e_name @ SV212 @ SV230 ) )
= $false )
| ( ( ( produc1570949143e_name @ SV82 @ SV155 )
= ( produc1570949143e_name @ SV212 @ SV230 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1252]) ).
thf(1337,plain,
! [SV230: name,SV155: name,SV212: name,SV82: name] :
( ( ( ~ ~ ( ( SV82 != SV212 )
| ( SV155 != SV230 ) ) )
= $false )
| ( ( ( produc1570949143e_name @ SV82 @ SV155 )
= ( produc1570949143e_name @ SV212 @ SV230 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1252]) ).
thf(1338,plain,
! [SV230: name,SV155: name,SV212: name,SV82: name] :
( ( ( SV82 != SV212 )
= $true )
| ( ( SV155 != SV230 )
= $true )
| ( ( ~ ( ( ( produc1570949143e_name @ SV82 @ SV155 )
!= ( produc1570949143e_name @ SV212 @ SV230 ) )
| ~ ~ ( ( SV82 != SV212 )
| ( SV155 != SV230 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1253]) ).
thf(1339,plain,
! [SV84: list_P227219501e_name] :
( ( ( SV84 = nil_Pr743626285e_name )
= $false )
| ( ( SV84 = nil_Pr743626285e_name )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1254]) ).
thf(1340,plain,
! [SV84: list_P227219501e_name] :
( ( ( ! [SY491: produc367475239e_name] :
~ ~ ! [SY492: list_P227219501e_name] :
( SV84
!= ( cons_P1213805021e_name @ SY491 @ SY492 ) ) )
= $false )
| ( ( SV84 = nil_Pr743626285e_name )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1255]) ).
thf(1341,plain,
! [SV240: list_P227219501e_name,SV239: produc367475239e_name,SV84: list_P227219501e_name] :
( ( ( SV84
!= ( cons_P1213805021e_name @ SV239 @ SV240 ) )
= $true )
| ( ( ~ ( ~ ( ( SV84 != nil_Pr743626285e_name ) )
| ~ ~ ! [SY491: produc367475239e_name] :
~ ~ ! [SY492: list_P227219501e_name] :
( SV84
!= ( cons_P1213805021e_name @ SY491 @ SY492 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1256]) ).
thf(1342,plain,
! [SV231: list_P227219501e_name,SV213: produc367475239e_name,SV156: list_P227219501e_name,SV86: produc367475239e_name] :
( ( ( ( cons_P1213805021e_name @ SV86 @ SV156 )
!= ( cons_P1213805021e_name @ SV213 @ SV231 ) )
= $false )
| ( ( ( cons_P1213805021e_name @ SV86 @ SV156 )
= ( cons_P1213805021e_name @ SV213 @ SV231 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1257]) ).
thf(1343,plain,
! [SV231: list_P227219501e_name,SV156: list_P227219501e_name,SV213: produc367475239e_name,SV86: produc367475239e_name] :
( ( ( ~ ~ ( ( SV86 != SV213 )
| ( SV156 != SV231 ) ) )
= $false )
| ( ( ( cons_P1213805021e_name @ SV86 @ SV156 )
= ( cons_P1213805021e_name @ SV213 @ SV231 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1257]) ).
thf(1344,plain,
! [SV231: list_P227219501e_name,SV156: list_P227219501e_name,SV213: produc367475239e_name,SV86: produc367475239e_name] :
( ( ( SV86 != SV213 )
= $true )
| ( ( SV156 != SV231 )
= $true )
| ( ( ~ ( ( ( cons_P1213805021e_name @ SV86 @ SV156 )
!= ( cons_P1213805021e_name @ SV213 @ SV231 ) )
| ~ ~ ( ( SV86 != SV213 )
| ( SV156 != SV231 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1258]) ).
thf(1345,plain,
! [SV232: pi,SV214: pi,SV157: list_P227219501e_name,SV87: $o] :
( ( SV87 = $true )
| ( ( ( perm_name_pi @ SV157 @ ( if_pi @ SV87 @ SV214 @ SV232 ) )
= ( perm_name_pi @ SV157 @ SV232 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1260]) ).
thf(1346,plain,
! [SV233: pi,SV215: pi,SV158: list_P227219501e_name] :
( ( $true = $true )
| ( ( ( perm_name_pi @ SV158 @ ( if_pi @ $true @ SV215 @ SV233 ) )
= ( perm_name_pi @ SV158 @ SV233 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1262]) ).
thf(1347,plain,
! [SV234: pi,SV216: pi,SV159: list_P227219501e_name] :
( ( $false = $true )
| ( ( ( perm_name_pi @ SV159 @ ( if_pi @ $false @ SV216 @ SV234 ) )
= ( perm_name_pi @ SV159 @ SV234 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1264]) ).
thf(1348,plain,
! [SV162: produc367475239e_name > produc367475239e_name > $o,SV219: list_P227219501e_name,SV90: ( produc367475239e_name > produc367475239e_name > $o ) > list_P227219501e_name > $o] :
( ( ( ! [SY703: list_P227219501e_name] :
( ~ ( SV90 @ ( sK43_SY510 @ SV219 @ SV162 @ SV90 ) @ SY703 )
| ( SV90 @ ( sK43_SY510 @ SV219 @ SV162 @ SV90 ) @ ( cons_P1213805021e_name @ ( sK47_SY697 @ SV162 @ SV219 @ SV90 ) @ SY703 ) ) ) )
= $false )
| ( ( SV90 @ SV162 @ SV219 )
= $true )
| ( ( SV90 @ ( sK23_SY509 @ SV219 @ SV162 @ SV90 ) @ nil_Pr743626285e_name )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1265]) ).
thf(1349,plain,
! [SV165: list_P227219501e_name,SV93: list_P227219501e_name > $o] :
( ( ( ! [SY704: produc367475239e_name,SY705: list_P227219501e_name] :
( ~ ( SV93 @ SY705 )
| ~ ( SV93 @ ( cons_P1213805021e_name @ SY704 @ SY705 ) )
| ( SV93 @ ( cons_P1213805021e_name @ ( sK48_SY518 @ SV165 @ SV93 ) @ ( cons_P1213805021e_name @ SY704 @ SY705 ) ) ) ) )
= $false )
| ( ( SV93 @ SV165 )
= $true )
| ( ( SV93 @ ( cons_P1213805021e_name @ ( sK30_SY517 @ SV165 @ SV93 ) @ nil_Pr743626285e_name ) )
= $false )
| ( ( SV93 @ nil_Pr743626285e_name )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1266]) ).
thf(1350,plain,
! [SV47: $o] :
( ( ( ~ ( SV47
| $false ) )
= $true )
| ( ( ~ ( ~ SV47
| ~ $false ) )
= $true )
| ( SV47 = $false )
| ( SV47 = $true ) ),
inference(extcnf_or_pos,[status(thm)],[1275]) ).
thf(1351,plain,
! [SV47: $o] :
( ( ( ~ ( SV47
| $false ) )
= $true )
| ( ( ~ ( ~ SV47
| ~ $false ) )
= $true )
| ( SV47 = $false )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[1277]) ).
thf(1352,plain,
! [SV47: $o] :
( ( ( ~ ( SV47
| $false ) )
= $true )
| ( ( ~ ( ~ SV47
| ~ $false ) )
= $true )
| ( $true = $false )
| ( SV47 = $true ) ),
inference(extcnf_or_pos,[status(thm)],[1279]) ).
thf(1353,plain,
! [SV47: $o] :
( ( ( ~ ( SV47
| $false ) )
= $true )
| ( ( ~ ( ~ SV47
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[1281]) ).
thf(1354,plain,
( ( ( ~ ( $true
| $false ) )
= $true )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[1287]) ).
thf(1355,plain,
( ( ( ~ ( $true
| $false ) )
= $true )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[1289]) ).
thf(1356,plain,
( ( ( ~ ( $true
| $false ) )
= $true )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[1291]) ).
thf(1357,plain,
( ( ( ~ ( $true
| $false ) )
= $true )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[1293]) ).
thf(1358,plain,
( ( ( ~ ( $false
| $false ) )
= $true )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_or_pos,[status(thm)],[1299]) ).
thf(1359,plain,
( ( ( ~ ( $false
| $false ) )
= $true )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[1301]) ).
thf(1360,plain,
( ( ( ~ ( $false
| $false ) )
= $true )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_or_pos,[status(thm)],[1303]) ).
thf(1361,plain,
( ( ( ~ ( $false
| $false ) )
= $true )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[1305]) ).
thf(1362,plain,
! [SV222: name,SV194: name,SV129: name,SV48: name] :
( ( ( ( late_OutputR @ SV48 @ SV129 )
= ( late_OutputR @ SV194 @ SV222 ) )
= $true )
| ( ( ( late_OutputR @ SV48 @ SV129 )
= ( late_OutputR @ SV194 @ SV222 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1311]) ).
thf(1363,plain,
! [SV222: name,SV129: name,SV194: name,SV48: name] :
( ( ( ~ ( ( SV48 != SV194 )
| ( SV129 != SV222 ) ) )
= $true )
| ( ( ( late_OutputR @ SV48 @ SV129 )
= ( late_OutputR @ SV194 @ SV222 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1312]) ).
thf(1364,plain,
! [SV222: name,SV129: name,SV194: name,SV48: name] :
( ( ( SV48 = SV194 )
= $false )
| ( ( SV129 != SV222 )
= $true )
| ( ( ~ ( ( ( late_OutputR @ SV48 @ SV129 )
!= ( late_OutputR @ SV194 @ SV222 ) )
| ~ ~ ( ( SV48 != SV194 )
| ( SV129 != SV222 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1313]) ).
thf(1365,plain,
! [SV223: name,SV130: name,SV195: pi,SV50: name] :
( ( ( fresh_name_pi @ SV50 @ SV195 )
= $false )
| ( ( fresh_name_pi @ SV50 @ ( perm_name_pi @ ( cons_P1213805021e_name @ ( produc1570949143e_name @ SV130 @ SV223 ) @ nil_Pr743626285e_name ) @ SV195 ) )
= $true )
| ( ( fresh_name_pi @ SV130 @ SV195 )
= $false )
| ( ( SV50 = SV130 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1314]) ).
thf(1366,plain,
! [SV52: produc890461031e_name] :
( ( ( ! [SY706: list_P227219501e_name,SY707: produc367475239e_name,SY708: list_P227219501e_name] :
( SV52
!= ( produc208131031e_name @ ( cons_P1213805021e_name @ ( sK49_SY383 @ SV52 ) @ SY706 ) @ ( cons_P1213805021e_name @ SY707 @ SY708 ) ) ) )
= $false )
| ( ( SV52
= ( produc208131031e_name @ ( sK31_SY382 @ SV52 ) @ nil_Pr743626285e_name ) )
= $true )
| ( ( SV52
= ( produc208131031e_name @ nil_Pr743626285e_name @ ( sK5_SY381 @ SV52 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1315]) ).
thf(1367,plain,
! [SV225: pi,SV197: late_freeRes,SV134: pi,SV57: late_freeRes] :
( ( ( ( late_FreeR @ SV57 @ SV134 )
= ( late_FreeR @ SV197 @ SV225 ) )
= $true )
| ( ( ( late_FreeR @ SV57 @ SV134 )
= ( late_FreeR @ SV197 @ SV225 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1317]) ).
thf(1368,plain,
! [SV225: pi,SV134: pi,SV197: late_freeRes,SV57: late_freeRes] :
( ( ( ~ ( ( SV57 != SV197 )
| ( SV134 != SV225 ) ) )
= $true )
| ( ( ( late_FreeR @ SV57 @ SV134 )
= ( late_FreeR @ SV197 @ SV225 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1318]) ).
thf(1369,plain,
! [SV225: pi,SV134: pi,SV197: late_freeRes,SV57: late_freeRes] :
( ( ( SV57 = SV197 )
= $false )
| ( ( SV134 != SV225 )
= $true )
| ( ( ~ ( ( ( late_FreeR @ SV57 @ SV134 )
!= ( late_FreeR @ SV197 @ SV225 ) )
| ~ ~ ( ( SV57 != SV197 )
| ( SV134 != SV225 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1319]) ).
thf(1370,plain,
! [SV135: late_residual,SV58: late_residual > $o] :
( ( ( SV58 @ ( late_FreeR @ ( sK44_SY408 @ SV135 @ SV58 ) @ ( sK50_SY699 @ SV135 @ SV58 ) ) )
= $false )
| ( ( SV58 @ SV135 )
= $true )
| ( ( SV58 @ ( late_BoundR @ ( sK12_SY405 @ SV135 @ SV58 ) @ ( sK17_SY680 @ SV135 @ SV58 ) @ ( sK25_SY683 @ SV135 @ SV58 ) ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1320]) ).
thf(1371,plain,
! [SV226: name,SV200: name,SV140: name,SV63: name] :
( ( ( ( late_OutputR @ SV63 @ SV140 )
= ( late_OutputR @ SV200 @ SV226 ) )
= $true )
| ( ( ( late_OutputR @ SV63 @ SV140 )
= ( late_OutputR @ SV200 @ SV226 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1321]) ).
thf(1372,plain,
! [SV226: name,SV140: name,SV200: name,SV63: name] :
( ( ( ~ ( ( SV63 != SV200 )
| ( SV140 != SV226 ) ) )
= $true )
| ( ( ( late_OutputR @ SV63 @ SV140 )
= ( late_OutputR @ SV200 @ SV226 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1322]) ).
thf(1373,plain,
! [SV226: name,SV140: name,SV200: name,SV63: name] :
( ( ( SV63 = SV200 )
= $false )
| ( ( SV140 != SV226 )
= $true )
| ( ( ~ ( ( ( late_OutputR @ SV63 @ SV140 )
!= ( late_OutputR @ SV200 @ SV226 ) )
| ~ ~ ( ( SV63 != SV200 )
| ( SV140 != SV226 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1323]) ).
thf(1374,plain,
! [SV64: produc1872410278e_name] :
( ( ( ! [SY424: produc367475239e_name > produc367475239e_name > $o,SY425: produc367475239e_name,SY426: produc367475239e_name,SY427: list_P227219501e_name] :
( SV64
!= ( produc1069608854e_name @ SY424 @ ( cons_P1213805021e_name @ SY425 @ ( cons_P1213805021e_name @ SY426 @ SY427 ) ) ) ) )
= $false )
| ( ( SV64
= ( produc1069608854e_name @ ( sK33_SY422 @ SV64 ) @ ( cons_P1213805021e_name @ ( sK38_SY692 @ SV64 ) @ nil_Pr743626285e_name ) ) )
= $true )
| ( ( SV64
= ( produc1069608854e_name @ ( sK7_SY421 @ SV64 ) @ nil_Pr743626285e_name ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1324]) ).
thf(1375,plain,
! [SV201: list_P227219501e_name,SV143: list_P227219501e_name,SV69: list_P227219501e_name > list_P227219501e_name > $o] :
( ( ( ! [SY442: produc367475239e_name,SY443: list_P227219501e_name] : ( SV69 @ nil_Pr743626285e_name @ ( cons_P1213805021e_name @ SY442 @ SY443 ) ) )
= $false )
| ( ( ~ ! [SY444: produc367475239e_name,SY445: list_P227219501e_name,SY446: produc367475239e_name,SY447: list_P227219501e_name] :
( ~ ( SV69 @ SY445 @ SY447 )
| ( SV69 @ ( cons_P1213805021e_name @ SY444 @ SY445 ) @ ( cons_P1213805021e_name @ SY446 @ SY447 ) ) )
| ( SV69 @ SV143 @ SV201 ) )
= $true )
| ( ( SV69 @ ( cons_P1213805021e_name @ ( sK36_SY440 @ SV201 @ SV143 @ SV69 ) @ ( sK40_SY694 @ SV143 @ SV201 @ SV69 ) ) @ nil_Pr743626285e_name )
= $false )
| ( ( SV69 @ nil_Pr743626285e_name @ nil_Pr743626285e_name )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1327]) ).
thf(1376,plain,
! [SV227: name,SV203: name,SV145: name,SV71: name] :
( ( ( ( produc1570949143e_name @ SV71 @ SV145 )
= ( produc1570949143e_name @ SV203 @ SV227 ) )
= $true )
| ( ( ( produc1570949143e_name @ SV71 @ SV145 )
= ( produc1570949143e_name @ SV203 @ SV227 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1328]) ).
thf(1377,plain,
! [SV227: name,SV145: name,SV203: name,SV71: name] :
( ( ( ~ ( ( SV71 != SV203 )
| ( SV145 != SV227 ) ) )
= $true )
| ( ( ( produc1570949143e_name @ SV71 @ SV145 )
= ( produc1570949143e_name @ SV203 @ SV227 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1329]) ).
thf(1378,plain,
! [SV227: name,SV145: name,SV203: name,SV71: name] :
( ( ( SV71 = SV203 )
= $false )
| ( ( SV145 != SV227 )
= $true )
| ( ( ~ ( ( ( produc1570949143e_name @ SV71 @ SV145 )
!= ( produc1570949143e_name @ SV203 @ SV227 ) )
| ~ ~ ( ( SV71 != SV203 )
| ( SV145 != SV227 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1330]) ).
thf(1379,plain,
! [SV72: name,SV146: name,SV204: name] :
( ( ( ~ ( ( SV204 != SV146 )
| ( ( swap_name2 @ ( produc1570949143e_name @ SV72 @ SV204 ) @ SV146 )
= SV72 ) ) )
= $false )
| ( ( SV72 = SV146 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1331]) ).
thf(1380,plain,
! [SV72: name,SV146: name,SV204: name] :
( ( ( ~ ( ~ ( ( SV204 != SV146 ) )
| ( ( swap_name2 @ ( produc1570949143e_name @ SV72 @ SV204 ) @ SV146 )
= SV146 ) ) )
= $false )
| ( ( SV72 = SV146 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1331]) ).
thf(1381,plain,
! [SV75: list_P227219501e_name] :
( ( ( ! [SY709: list_P227219501e_name] :
( SV75
!= ( cons_P1213805021e_name @ ( sK45_SY461 @ SV75 ) @ ( cons_P1213805021e_name @ ( sK51_SY700 @ SV75 ) @ SY709 ) ) ) )
= $false )
| ( ( SV75
= ( cons_P1213805021e_name @ ( sK28_SY460 @ SV75 ) @ nil_Pr743626285e_name ) )
= $true )
| ( ( SV75 = nil_Pr743626285e_name )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1332]) ).
thf(1382,plain,
! [SV208: list_P227219501e_name,SV150: list_P227219501e_name,SV77: list_P227219501e_name > list_P227219501e_name > $o] :
( ( ( ! [SY470: produc367475239e_name,SY471: list_P227219501e_name,SY472: produc367475239e_name,SY473: list_P227219501e_name] :
( ~ ( SV77 @ SY471 @ ( cons_P1213805021e_name @ SY472 @ SY473 ) )
| ~ ( SV77 @ ( cons_P1213805021e_name @ SY470 @ SY471 ) @ SY473 )
| ( SV77 @ ( cons_P1213805021e_name @ SY470 @ SY471 ) @ ( cons_P1213805021e_name @ SY472 @ SY473 ) ) ) )
= $false )
| ( ( SV77 @ SV150 @ SV208 )
= $true )
| ( ( SV77 @ ( sK41_SY469 @ SV208 @ SV150 @ SV77 ) @ nil_Pr743626285e_name )
= $false )
| ( ( SV77 @ nil_Pr743626285e_name @ ( sK19_SY468 @ SV208 @ SV150 @ SV77 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1333]) ).
thf(1383,plain,
! [SV79: name,SV152: name,SV210: name] :
( ( ( ~ ( ( SV210 != SV152 )
| ( ( swap_name @ ( produc1570949143e_name @ SV79 @ SV210 ) @ SV152 )
= SV79 ) ) )
= $false )
| ( ( SV79 = SV152 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1334]) ).
thf(1384,plain,
! [SV79: name,SV152: name,SV210: name] :
( ( ( ~ ( ~ ( ( SV210 != SV152 ) )
| ( ( swap_name @ ( produc1570949143e_name @ SV79 @ SV210 ) @ SV152 )
= SV152 ) ) )
= $false )
| ( ( SV79 = SV152 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1334]) ).
thf(1385,plain,
! [SV153: list_P227219501e_name,SV211: list_P227219501e_name,SV80: list_P227219501e_name > list_P227219501e_name > $o] :
( ( ( ~ ( SV80 @ ( sK52_SY702 @ SV211 @ SV153 @ SV80 ) @ ( sK46_SY695 @ SV153 @ SV211 @ SV80 ) )
| ( SV80 @ ( cons_P1213805021e_name @ ( sK42_SY482 @ SV211 @ SV153 @ SV80 ) @ ( sK46_SY695 @ SV153 @ SV211 @ SV80 ) ) @ ( sK52_SY702 @ SV211 @ SV153 @ SV80 ) ) )
= $false )
| ( ( SV80 @ SV153 @ SV211 )
= $true )
| ( ( SV80 @ nil_Pr743626285e_name @ ( sK20_SY481 @ SV211 @ SV153 @ SV80 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1335]) ).
thf(1386,plain,
! [SV230: name,SV212: name,SV155: name,SV82: name] :
( ( ( ( produc1570949143e_name @ SV82 @ SV155 )
= ( produc1570949143e_name @ SV212 @ SV230 ) )
= $true )
| ( ( ( produc1570949143e_name @ SV82 @ SV155 )
= ( produc1570949143e_name @ SV212 @ SV230 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1336]) ).
thf(1387,plain,
! [SV230: name,SV155: name,SV212: name,SV82: name] :
( ( ( ~ ( ( SV82 != SV212 )
| ( SV155 != SV230 ) ) )
= $true )
| ( ( ( produc1570949143e_name @ SV82 @ SV155 )
= ( produc1570949143e_name @ SV212 @ SV230 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1337]) ).
thf(1388,plain,
! [SV230: name,SV155: name,SV212: name,SV82: name] :
( ( ( SV82 = SV212 )
= $false )
| ( ( SV155 != SV230 )
= $true )
| ( ( ~ ( ( ( produc1570949143e_name @ SV82 @ SV155 )
!= ( produc1570949143e_name @ SV212 @ SV230 ) )
| ~ ~ ( ( SV82 != SV212 )
| ( SV155 != SV230 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1338]) ).
thf(1389,plain,
! [SV84: list_P227219501e_name] :
( ( ( ~ ~ ! [SY710: list_P227219501e_name] :
( SV84
!= ( cons_P1213805021e_name @ ( sK53_SY491 @ SV84 ) @ SY710 ) ) )
= $false )
| ( ( SV84 = nil_Pr743626285e_name )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1340]) ).
thf(1390,plain,
! [SV240: list_P227219501e_name,SV239: produc367475239e_name,SV84: list_P227219501e_name] :
( ( ( SV84
= ( cons_P1213805021e_name @ SV239 @ SV240 ) )
= $false )
| ( ( ~ ( ~ ( ( SV84 != nil_Pr743626285e_name ) )
| ~ ~ ! [SY491: produc367475239e_name] :
~ ~ ! [SY492: list_P227219501e_name] :
( SV84
!= ( cons_P1213805021e_name @ SY491 @ SY492 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1341]) ).
thf(1391,plain,
! [SV231: list_P227219501e_name,SV213: produc367475239e_name,SV156: list_P227219501e_name,SV86: produc367475239e_name] :
( ( ( ( cons_P1213805021e_name @ SV86 @ SV156 )
= ( cons_P1213805021e_name @ SV213 @ SV231 ) )
= $true )
| ( ( ( cons_P1213805021e_name @ SV86 @ SV156 )
= ( cons_P1213805021e_name @ SV213 @ SV231 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1342]) ).
thf(1392,plain,
! [SV231: list_P227219501e_name,SV156: list_P227219501e_name,SV213: produc367475239e_name,SV86: produc367475239e_name] :
( ( ( ~ ( ( SV86 != SV213 )
| ( SV156 != SV231 ) ) )
= $true )
| ( ( ( cons_P1213805021e_name @ SV86 @ SV156 )
= ( cons_P1213805021e_name @ SV213 @ SV231 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1343]) ).
thf(1393,plain,
! [SV231: list_P227219501e_name,SV156: list_P227219501e_name,SV213: produc367475239e_name,SV86: produc367475239e_name] :
( ( ( SV86 = SV213 )
= $false )
| ( ( SV156 != SV231 )
= $true )
| ( ( ~ ( ( ( cons_P1213805021e_name @ SV86 @ SV156 )
!= ( cons_P1213805021e_name @ SV213 @ SV231 ) )
| ~ ~ ( ( SV86 != SV213 )
| ( SV156 != SV231 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1344]) ).
thf(1394,plain,
! [SV162: produc367475239e_name > produc367475239e_name > $o,SV219: list_P227219501e_name,SV90: ( produc367475239e_name > produc367475239e_name > $o ) > list_P227219501e_name > $o] :
( ( ( ~ ( SV90 @ ( sK43_SY510 @ SV219 @ SV162 @ SV90 ) @ ( sK54_SY703 @ SV162 @ SV219 @ SV90 ) )
| ( SV90 @ ( sK43_SY510 @ SV219 @ SV162 @ SV90 ) @ ( cons_P1213805021e_name @ ( sK47_SY697 @ SV162 @ SV219 @ SV90 ) @ ( sK54_SY703 @ SV162 @ SV219 @ SV90 ) ) ) )
= $false )
| ( ( SV90 @ SV162 @ SV219 )
= $true )
| ( ( SV90 @ ( sK23_SY509 @ SV219 @ SV162 @ SV90 ) @ nil_Pr743626285e_name )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1348]) ).
thf(1395,plain,
! [SV165: list_P227219501e_name,SV93: list_P227219501e_name > $o] :
( ( ( ! [SY711: list_P227219501e_name] :
( ~ ( SV93 @ SY711 )
| ~ ( SV93 @ ( cons_P1213805021e_name @ ( sK55_SY704 @ SV165 @ SV93 ) @ SY711 ) )
| ( SV93 @ ( cons_P1213805021e_name @ ( sK48_SY518 @ SV165 @ SV93 ) @ ( cons_P1213805021e_name @ ( sK55_SY704 @ SV165 @ SV93 ) @ SY711 ) ) ) ) )
= $false )
| ( ( SV93 @ SV165 )
= $true )
| ( ( SV93 @ ( cons_P1213805021e_name @ ( sK30_SY517 @ SV165 @ SV93 ) @ nil_Pr743626285e_name ) )
= $false )
| ( ( SV93 @ nil_Pr743626285e_name )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1349]) ).
thf(1396,plain,
! [SV47: $o] :
( ( ( SV47
| $false )
= $false )
| ( ( ~ ( ~ SV47
| ~ $false ) )
= $true )
| ( SV47 = $false )
| ( SV47 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1350]) ).
thf(1397,plain,
! [SV47: $o] :
( ( ( SV47
| $false )
= $false )
| ( ( ~ ( ~ SV47
| ~ $false ) )
= $true )
| ( SV47 = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1351]) ).
thf(1398,plain,
! [SV47: $o] :
( ( ( SV47
| $false )
= $false )
| ( ( ~ ( ~ SV47
| ~ $false ) )
= $true )
| ( $true = $false )
| ( SV47 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1352]) ).
thf(1399,plain,
! [SV47: $o] :
( ( ( SV47
| $false )
= $false )
| ( ( ~ ( ~ SV47
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1353]) ).
thf(1400,plain,
( ( ( $true
| $false )
= $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1354]) ).
thf(1401,plain,
( ( ( $true
| $false )
= $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1355]) ).
thf(1402,plain,
( ( ( $true
| $false )
= $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1356]) ).
thf(1403,plain,
( ( ( $true
| $false )
= $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1357]) ).
thf(1404,plain,
( ( ( $false
| $false )
= $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1358]) ).
thf(1405,plain,
( ( ( $false
| $false )
= $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1359]) ).
thf(1406,plain,
( ( ( $false
| $false )
= $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1360]) ).
thf(1407,plain,
( ( ( $false
| $false )
= $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1361]) ).
thf(1408,plain,
! [SV222: name,SV129: name,SV194: name,SV48: name] :
( ( ( ( SV48 != SV194 )
| ( SV129 != SV222 ) )
= $false )
| ( ( ( late_OutputR @ SV48 @ SV129 )
= ( late_OutputR @ SV194 @ SV222 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1363]) ).
thf(1409,plain,
! [SV194: name,SV48: name,SV222: name,SV129: name] :
( ( ( SV129 = SV222 )
= $false )
| ( ( SV48 = SV194 )
= $false )
| ( ( ~ ( ( ( late_OutputR @ SV48 @ SV129 )
!= ( late_OutputR @ SV194 @ SV222 ) )
| ~ ~ ( ( SV48 != SV194 )
| ( SV129 != SV222 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1364]) ).
thf(1410,plain,
! [SV52: produc890461031e_name] :
( ( ( ! [SY712: produc367475239e_name,SY713: list_P227219501e_name] :
( SV52
!= ( produc208131031e_name @ ( cons_P1213805021e_name @ ( sK49_SY383 @ SV52 ) @ ( sK56_SY706 @ SV52 ) ) @ ( cons_P1213805021e_name @ SY712 @ SY713 ) ) ) )
= $false )
| ( ( SV52
= ( produc208131031e_name @ ( sK31_SY382 @ SV52 ) @ nil_Pr743626285e_name ) )
= $true )
| ( ( SV52
= ( produc208131031e_name @ nil_Pr743626285e_name @ ( sK5_SY381 @ SV52 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1366]) ).
thf(1411,plain,
! [SV225: pi,SV134: pi,SV197: late_freeRes,SV57: late_freeRes] :
( ( ( ( SV57 != SV197 )
| ( SV134 != SV225 ) )
= $false )
| ( ( ( late_FreeR @ SV57 @ SV134 )
= ( late_FreeR @ SV197 @ SV225 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1368]) ).
thf(1412,plain,
! [SV197: late_freeRes,SV57: late_freeRes,SV225: pi,SV134: pi] :
( ( ( SV134 = SV225 )
= $false )
| ( ( SV57 = SV197 )
= $false )
| ( ( ~ ( ( ( late_FreeR @ SV57 @ SV134 )
!= ( late_FreeR @ SV197 @ SV225 ) )
| ~ ~ ( ( SV57 != SV197 )
| ( SV134 != SV225 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1369]) ).
thf(1413,plain,
! [SV226: name,SV140: name,SV200: name,SV63: name] :
( ( ( ( SV63 != SV200 )
| ( SV140 != SV226 ) )
= $false )
| ( ( ( late_OutputR @ SV63 @ SV140 )
= ( late_OutputR @ SV200 @ SV226 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1372]) ).
thf(1414,plain,
! [SV200: name,SV63: name,SV226: name,SV140: name] :
( ( ( SV140 = SV226 )
= $false )
| ( ( SV63 = SV200 )
= $false )
| ( ( ~ ( ( ( late_OutputR @ SV63 @ SV140 )
!= ( late_OutputR @ SV200 @ SV226 ) )
| ~ ~ ( ( SV63 != SV200 )
| ( SV140 != SV226 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1373]) ).
thf(1415,plain,
! [SV64: produc1872410278e_name] :
( ( ( ! [SY714: produc367475239e_name,SY715: produc367475239e_name,SY716: list_P227219501e_name] :
( SV64
!= ( produc1069608854e_name @ ( sK57_SY424 @ SV64 ) @ ( cons_P1213805021e_name @ SY714 @ ( cons_P1213805021e_name @ SY715 @ SY716 ) ) ) ) )
= $false )
| ( ( SV64
= ( produc1069608854e_name @ ( sK33_SY422 @ SV64 ) @ ( cons_P1213805021e_name @ ( sK38_SY692 @ SV64 ) @ nil_Pr743626285e_name ) ) )
= $true )
| ( ( SV64
= ( produc1069608854e_name @ ( sK7_SY421 @ SV64 ) @ nil_Pr743626285e_name ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1374]) ).
thf(1416,plain,
! [SV143: list_P227219501e_name,SV201: list_P227219501e_name,SV69: list_P227219501e_name > list_P227219501e_name > $o] :
( ( ( ! [SY717: list_P227219501e_name] : ( SV69 @ nil_Pr743626285e_name @ ( cons_P1213805021e_name @ ( sK58_SY442 @ SV201 @ SV143 @ SV69 ) @ SY717 ) ) )
= $false )
| ( ( ~ ! [SY444: produc367475239e_name,SY445: list_P227219501e_name,SY446: produc367475239e_name,SY447: list_P227219501e_name] :
( ~ ( SV69 @ SY445 @ SY447 )
| ( SV69 @ ( cons_P1213805021e_name @ SY444 @ SY445 ) @ ( cons_P1213805021e_name @ SY446 @ SY447 ) ) )
| ( SV69 @ SV143 @ SV201 ) )
= $true )
| ( ( SV69 @ ( cons_P1213805021e_name @ ( sK36_SY440 @ SV201 @ SV143 @ SV69 ) @ ( sK40_SY694 @ SV143 @ SV201 @ SV69 ) ) @ nil_Pr743626285e_name )
= $false )
| ( ( SV69 @ nil_Pr743626285e_name @ nil_Pr743626285e_name )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1375]) ).
thf(1417,plain,
! [SV227: name,SV145: name,SV203: name,SV71: name] :
( ( ( ( SV71 != SV203 )
| ( SV145 != SV227 ) )
= $false )
| ( ( ( produc1570949143e_name @ SV71 @ SV145 )
= ( produc1570949143e_name @ SV203 @ SV227 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1377]) ).
thf(1418,plain,
! [SV203: name,SV71: name,SV227: name,SV145: name] :
( ( ( SV145 = SV227 )
= $false )
| ( ( SV71 = SV203 )
= $false )
| ( ( ~ ( ( ( produc1570949143e_name @ SV71 @ SV145 )
!= ( produc1570949143e_name @ SV203 @ SV227 ) )
| ~ ~ ( ( SV71 != SV203 )
| ( SV145 != SV227 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1378]) ).
thf(1419,plain,
! [SV72: name,SV146: name,SV204: name] :
( ( ( ( SV204 != SV146 )
| ( ( swap_name2 @ ( produc1570949143e_name @ SV72 @ SV204 ) @ SV146 )
= SV72 ) )
= $true )
| ( ( SV72 = SV146 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1379]) ).
thf(1420,plain,
! [SV72: name,SV146: name,SV204: name] :
( ( ( ~ ( ( SV204 != SV146 ) )
| ( ( swap_name2 @ ( produc1570949143e_name @ SV72 @ SV204 ) @ SV146 )
= SV146 ) )
= $true )
| ( ( SV72 = SV146 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1380]) ).
thf(1421,plain,
! [SV75: list_P227219501e_name] :
( ( ( SV75
!= ( cons_P1213805021e_name @ ( sK45_SY461 @ SV75 ) @ ( cons_P1213805021e_name @ ( sK51_SY700 @ SV75 ) @ ( sK59_SY709 @ SV75 ) ) ) )
= $false )
| ( ( SV75
= ( cons_P1213805021e_name @ ( sK28_SY460 @ SV75 ) @ nil_Pr743626285e_name ) )
= $true )
| ( ( SV75 = nil_Pr743626285e_name )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1381]) ).
thf(1422,plain,
! [SV150: list_P227219501e_name,SV208: list_P227219501e_name,SV77: list_P227219501e_name > list_P227219501e_name > $o] :
( ( ( ! [SY718: list_P227219501e_name,SY719: produc367475239e_name,SY720: list_P227219501e_name] :
( ~ ( SV77 @ SY718 @ ( cons_P1213805021e_name @ SY719 @ SY720 ) )
| ~ ( SV77 @ ( cons_P1213805021e_name @ ( sK60_SY470 @ SV208 @ SV150 @ SV77 ) @ SY718 ) @ SY720 )
| ( SV77 @ ( cons_P1213805021e_name @ ( sK60_SY470 @ SV208 @ SV150 @ SV77 ) @ SY718 ) @ ( cons_P1213805021e_name @ SY719 @ SY720 ) ) ) )
= $false )
| ( ( SV77 @ SV150 @ SV208 )
= $true )
| ( ( SV77 @ ( sK41_SY469 @ SV208 @ SV150 @ SV77 ) @ nil_Pr743626285e_name )
= $false )
| ( ( SV77 @ nil_Pr743626285e_name @ ( sK19_SY468 @ SV208 @ SV150 @ SV77 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1382]) ).
thf(1423,plain,
! [SV79: name,SV152: name,SV210: name] :
( ( ( ( SV210 != SV152 )
| ( ( swap_name @ ( produc1570949143e_name @ SV79 @ SV210 ) @ SV152 )
= SV79 ) )
= $true )
| ( ( SV79 = SV152 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1383]) ).
thf(1424,plain,
! [SV79: name,SV152: name,SV210: name] :
( ( ( ~ ( ( SV210 != SV152 ) )
| ( ( swap_name @ ( produc1570949143e_name @ SV79 @ SV210 ) @ SV152 )
= SV152 ) )
= $true )
| ( ( SV79 = SV152 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1384]) ).
thf(1425,plain,
! [SV153: list_P227219501e_name,SV211: list_P227219501e_name,SV80: list_P227219501e_name > list_P227219501e_name > $o] :
( ( ( ~ ( SV80 @ ( sK52_SY702 @ SV211 @ SV153 @ SV80 ) @ ( sK46_SY695 @ SV153 @ SV211 @ SV80 ) ) )
= $false )
| ( ( SV80 @ SV153 @ SV211 )
= $true )
| ( ( SV80 @ nil_Pr743626285e_name @ ( sK20_SY481 @ SV211 @ SV153 @ SV80 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1385]) ).
thf(1426,plain,
! [SV153: list_P227219501e_name,SV211: list_P227219501e_name,SV80: list_P227219501e_name > list_P227219501e_name > $o] :
( ( ( SV80 @ ( cons_P1213805021e_name @ ( sK42_SY482 @ SV211 @ SV153 @ SV80 ) @ ( sK46_SY695 @ SV153 @ SV211 @ SV80 ) ) @ ( sK52_SY702 @ SV211 @ SV153 @ SV80 ) )
= $false )
| ( ( SV80 @ SV153 @ SV211 )
= $true )
| ( ( SV80 @ nil_Pr743626285e_name @ ( sK20_SY481 @ SV211 @ SV153 @ SV80 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1385]) ).
thf(1427,plain,
! [SV230: name,SV155: name,SV212: name,SV82: name] :
( ( ( ( SV82 != SV212 )
| ( SV155 != SV230 ) )
= $false )
| ( ( ( produc1570949143e_name @ SV82 @ SV155 )
= ( produc1570949143e_name @ SV212 @ SV230 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1387]) ).
thf(1428,plain,
! [SV212: name,SV82: name,SV230: name,SV155: name] :
( ( ( SV155 = SV230 )
= $false )
| ( ( SV82 = SV212 )
= $false )
| ( ( ~ ( ( ( produc1570949143e_name @ SV82 @ SV155 )
!= ( produc1570949143e_name @ SV212 @ SV230 ) )
| ~ ~ ( ( SV82 != SV212 )
| ( SV155 != SV230 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1388]) ).
thf(1429,plain,
! [SV84: list_P227219501e_name] :
( ( ( ~ ! [SY710: list_P227219501e_name] :
( SV84
!= ( cons_P1213805021e_name @ ( sK53_SY491 @ SV84 ) @ SY710 ) ) )
= $true )
| ( ( SV84 = nil_Pr743626285e_name )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1389]) ).
thf(1430,plain,
! [SV240: list_P227219501e_name,SV239: produc367475239e_name,SV84: list_P227219501e_name] :
( ( ( ~ ( ( SV84 != nil_Pr743626285e_name ) )
| ~ ~ ! [SY491: produc367475239e_name] :
~ ~ ! [SY492: list_P227219501e_name] :
( SV84
!= ( cons_P1213805021e_name @ SY491 @ SY492 ) ) )
= $false )
| ( ( SV84
= ( cons_P1213805021e_name @ SV239 @ SV240 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1390]) ).
thf(1431,plain,
! [SV231: list_P227219501e_name,SV156: list_P227219501e_name,SV213: produc367475239e_name,SV86: produc367475239e_name] :
( ( ( ( SV86 != SV213 )
| ( SV156 != SV231 ) )
= $false )
| ( ( ( cons_P1213805021e_name @ SV86 @ SV156 )
= ( cons_P1213805021e_name @ SV213 @ SV231 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1392]) ).
thf(1432,plain,
! [SV213: produc367475239e_name,SV86: produc367475239e_name,SV231: list_P227219501e_name,SV156: list_P227219501e_name] :
( ( ( SV156 = SV231 )
= $false )
| ( ( SV86 = SV213 )
= $false )
| ( ( ~ ( ( ( cons_P1213805021e_name @ SV86 @ SV156 )
!= ( cons_P1213805021e_name @ SV213 @ SV231 ) )
| ~ ~ ( ( SV86 != SV213 )
| ( SV156 != SV231 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1393]) ).
thf(1433,plain,
! [SV162: produc367475239e_name > produc367475239e_name > $o,SV219: list_P227219501e_name,SV90: ( produc367475239e_name > produc367475239e_name > $o ) > list_P227219501e_name > $o] :
( ( ( ~ ( SV90 @ ( sK43_SY510 @ SV219 @ SV162 @ SV90 ) @ ( sK54_SY703 @ SV162 @ SV219 @ SV90 ) ) )
= $false )
| ( ( SV90 @ SV162 @ SV219 )
= $true )
| ( ( SV90 @ ( sK23_SY509 @ SV219 @ SV162 @ SV90 ) @ nil_Pr743626285e_name )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1394]) ).
thf(1434,plain,
! [SV162: produc367475239e_name > produc367475239e_name > $o,SV219: list_P227219501e_name,SV90: ( produc367475239e_name > produc367475239e_name > $o ) > list_P227219501e_name > $o] :
( ( ( SV90 @ ( sK43_SY510 @ SV219 @ SV162 @ SV90 ) @ ( cons_P1213805021e_name @ ( sK47_SY697 @ SV162 @ SV219 @ SV90 ) @ ( sK54_SY703 @ SV162 @ SV219 @ SV90 ) ) )
= $false )
| ( ( SV90 @ SV162 @ SV219 )
= $true )
| ( ( SV90 @ ( sK23_SY509 @ SV219 @ SV162 @ SV90 ) @ nil_Pr743626285e_name )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1394]) ).
thf(1435,plain,
! [SV165: list_P227219501e_name,SV93: list_P227219501e_name > $o] :
( ( ( ~ ( SV93 @ ( sK61_SY711 @ SV165 @ SV93 ) )
| ~ ( SV93 @ ( cons_P1213805021e_name @ ( sK55_SY704 @ SV165 @ SV93 ) @ ( sK61_SY711 @ SV165 @ SV93 ) ) )
| ( SV93 @ ( cons_P1213805021e_name @ ( sK48_SY518 @ SV165 @ SV93 ) @ ( cons_P1213805021e_name @ ( sK55_SY704 @ SV165 @ SV93 ) @ ( sK61_SY711 @ SV165 @ SV93 ) ) ) ) )
= $false )
| ( ( SV93 @ SV165 )
= $true )
| ( ( SV93 @ ( cons_P1213805021e_name @ ( sK30_SY517 @ SV165 @ SV93 ) @ nil_Pr743626285e_name ) )
= $false )
| ( ( SV93 @ nil_Pr743626285e_name )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1395]) ).
thf(1436,plain,
! [SV47: $o] :
( ( SV47 = $false )
| ( ( ~ ( ~ SV47
| ~ $false ) )
= $true )
| ( SV47 = $false )
| ( SV47 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1396]) ).
thf(1437,plain,
! [SV47: $o] :
( ( $false = $false )
| ( ( ~ ( ~ SV47
| ~ $false ) )
= $true )
| ( SV47 = $false )
| ( SV47 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1396]) ).
thf(1438,plain,
! [SV47: $o] :
( ( SV47 = $false )
| ( ( ~ ( ~ SV47
| ~ $false ) )
= $true )
| ( SV47 = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1397]) ).
thf(1439,plain,
! [SV47: $o] :
( ( $false = $false )
| ( ( ~ ( ~ SV47
| ~ $false ) )
= $true )
| ( SV47 = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1397]) ).
thf(1440,plain,
! [SV47: $o] :
( ( SV47 = $false )
| ( ( ~ ( ~ SV47
| ~ $false ) )
= $true )
| ( $true = $false )
| ( SV47 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1398]) ).
thf(1441,plain,
! [SV47: $o] :
( ( $false = $false )
| ( ( ~ ( ~ SV47
| ~ $false ) )
= $true )
| ( $true = $false )
| ( SV47 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1398]) ).
thf(1442,plain,
! [SV47: $o] :
( ( SV47 = $false )
| ( ( ~ ( ~ SV47
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1399]) ).
thf(1443,plain,
! [SV47: $o] :
( ( $false = $false )
| ( ( ~ ( ~ SV47
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1399]) ).
thf(1444,plain,
( ( $true = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1400]) ).
thf(1445,plain,
( ( $false = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1400]) ).
thf(1446,plain,
( ( $true = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1401]) ).
thf(1447,plain,
( ( $false = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1401]) ).
thf(1448,plain,
( ( $true = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1402]) ).
thf(1449,plain,
( ( $false = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1402]) ).
thf(1450,plain,
( ( $true = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1403]) ).
thf(1451,plain,
( ( $false = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1403]) ).
thf(1452,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1404]) ).
thf(1453,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1404]) ).
thf(1454,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1405]) ).
thf(1455,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1405]) ).
thf(1456,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1406]) ).
thf(1457,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1406]) ).
thf(1458,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1407]) ).
thf(1459,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1407]) ).
thf(1460,plain,
! [SV222: name,SV129: name,SV194: name,SV48: name] :
( ( ( SV48 != SV194 )
= $false )
| ( ( ( late_OutputR @ SV48 @ SV129 )
= ( late_OutputR @ SV194 @ SV222 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1408]) ).
thf(1461,plain,
! [SV194: name,SV48: name,SV222: name,SV129: name] :
( ( ( SV129 != SV222 )
= $false )
| ( ( ( late_OutputR @ SV48 @ SV129 )
= ( late_OutputR @ SV194 @ SV222 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1408]) ).
thf(1462,plain,
! [SV222: name,SV194: name,SV129: name,SV48: name] :
( ( ( ( ( late_OutputR @ SV48 @ SV129 )
!= ( late_OutputR @ SV194 @ SV222 ) )
| ~ ~ ( ( SV48 != SV194 )
| ( SV129 != SV222 ) ) )
= $false )
| ( ( SV48 = SV194 )
= $false )
| ( ( SV129 = SV222 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1409]) ).
thf(1463,plain,
! [SV52: produc890461031e_name] :
( ( ( ! [SY721: list_P227219501e_name] :
( SV52
!= ( produc208131031e_name @ ( cons_P1213805021e_name @ ( sK49_SY383 @ SV52 ) @ ( sK56_SY706 @ SV52 ) ) @ ( cons_P1213805021e_name @ ( sK62_SY712 @ SV52 ) @ SY721 ) ) ) )
= $false )
| ( ( SV52
= ( produc208131031e_name @ ( sK31_SY382 @ SV52 ) @ nil_Pr743626285e_name ) )
= $true )
| ( ( SV52
= ( produc208131031e_name @ nil_Pr743626285e_name @ ( sK5_SY381 @ SV52 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1410]) ).
thf(1464,plain,
! [SV225: pi,SV134: pi,SV197: late_freeRes,SV57: late_freeRes] :
( ( ( SV57 != SV197 )
= $false )
| ( ( ( late_FreeR @ SV57 @ SV134 )
= ( late_FreeR @ SV197 @ SV225 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1411]) ).
thf(1465,plain,
! [SV197: late_freeRes,SV57: late_freeRes,SV225: pi,SV134: pi] :
( ( ( SV134 != SV225 )
= $false )
| ( ( ( late_FreeR @ SV57 @ SV134 )
= ( late_FreeR @ SV197 @ SV225 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1411]) ).
thf(1466,plain,
! [SV225: pi,SV197: late_freeRes,SV134: pi,SV57: late_freeRes] :
( ( ( ( ( late_FreeR @ SV57 @ SV134 )
!= ( late_FreeR @ SV197 @ SV225 ) )
| ~ ~ ( ( SV57 != SV197 )
| ( SV134 != SV225 ) ) )
= $false )
| ( ( SV57 = SV197 )
= $false )
| ( ( SV134 = SV225 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1412]) ).
thf(1467,plain,
! [SV226: name,SV140: name,SV200: name,SV63: name] :
( ( ( SV63 != SV200 )
= $false )
| ( ( ( late_OutputR @ SV63 @ SV140 )
= ( late_OutputR @ SV200 @ SV226 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1413]) ).
thf(1468,plain,
! [SV200: name,SV63: name,SV226: name,SV140: name] :
( ( ( SV140 != SV226 )
= $false )
| ( ( ( late_OutputR @ SV63 @ SV140 )
= ( late_OutputR @ SV200 @ SV226 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1413]) ).
thf(1469,plain,
! [SV226: name,SV200: name,SV140: name,SV63: name] :
( ( ( ( ( late_OutputR @ SV63 @ SV140 )
!= ( late_OutputR @ SV200 @ SV226 ) )
| ~ ~ ( ( SV63 != SV200 )
| ( SV140 != SV226 ) ) )
= $false )
| ( ( SV63 = SV200 )
= $false )
| ( ( SV140 = SV226 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1414]) ).
thf(1470,plain,
! [SV64: produc1872410278e_name] :
( ( ( ! [SY722: produc367475239e_name,SY723: list_P227219501e_name] :
( SV64
!= ( produc1069608854e_name @ ( sK57_SY424 @ SV64 ) @ ( cons_P1213805021e_name @ ( sK63_SY714 @ SV64 ) @ ( cons_P1213805021e_name @ SY722 @ SY723 ) ) ) ) )
= $false )
| ( ( SV64
= ( produc1069608854e_name @ ( sK33_SY422 @ SV64 ) @ ( cons_P1213805021e_name @ ( sK38_SY692 @ SV64 ) @ nil_Pr743626285e_name ) ) )
= $true )
| ( ( SV64
= ( produc1069608854e_name @ ( sK7_SY421 @ SV64 ) @ nil_Pr743626285e_name ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1415]) ).
thf(1471,plain,
! [SV143: list_P227219501e_name,SV201: list_P227219501e_name,SV69: list_P227219501e_name > list_P227219501e_name > $o] :
( ( ( SV69 @ nil_Pr743626285e_name @ ( cons_P1213805021e_name @ ( sK58_SY442 @ SV201 @ SV143 @ SV69 ) @ ( sK64_SY717 @ SV143 @ SV201 @ SV69 ) ) )
= $false )
| ( ( ~ ! [SY444: produc367475239e_name,SY445: list_P227219501e_name,SY446: produc367475239e_name,SY447: list_P227219501e_name] :
( ~ ( SV69 @ SY445 @ SY447 )
| ( SV69 @ ( cons_P1213805021e_name @ SY444 @ SY445 ) @ ( cons_P1213805021e_name @ SY446 @ SY447 ) ) )
| ( SV69 @ SV143 @ SV201 ) )
= $true )
| ( ( SV69 @ ( cons_P1213805021e_name @ ( sK36_SY440 @ SV201 @ SV143 @ SV69 ) @ ( sK40_SY694 @ SV143 @ SV201 @ SV69 ) ) @ nil_Pr743626285e_name )
= $false )
| ( ( SV69 @ nil_Pr743626285e_name @ nil_Pr743626285e_name )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1416]) ).
thf(1472,plain,
! [SV227: name,SV145: name,SV203: name,SV71: name] :
( ( ( SV71 != SV203 )
= $false )
| ( ( ( produc1570949143e_name @ SV71 @ SV145 )
= ( produc1570949143e_name @ SV203 @ SV227 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1417]) ).
thf(1473,plain,
! [SV203: name,SV71: name,SV227: name,SV145: name] :
( ( ( SV145 != SV227 )
= $false )
| ( ( ( produc1570949143e_name @ SV71 @ SV145 )
= ( produc1570949143e_name @ SV203 @ SV227 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1417]) ).
thf(1474,plain,
! [SV227: name,SV203: name,SV145: name,SV71: name] :
( ( ( ( ( produc1570949143e_name @ SV71 @ SV145 )
!= ( produc1570949143e_name @ SV203 @ SV227 ) )
| ~ ~ ( ( SV71 != SV203 )
| ( SV145 != SV227 ) ) )
= $false )
| ( ( SV71 = SV203 )
= $false )
| ( ( SV145 = SV227 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1418]) ).
thf(1475,plain,
! [SV72: name,SV146: name,SV204: name] :
( ( ( SV204 != SV146 )
= $true )
| ( ( ( swap_name2 @ ( produc1570949143e_name @ SV72 @ SV204 ) @ SV146 )
= SV72 )
= $true )
| ( ( SV72 = SV146 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1419]) ).
thf(1476,plain,
! [SV72: name,SV146: name,SV204: name] :
( ( ( ~ ( ( SV204 != SV146 ) ) )
= $true )
| ( ( ( swap_name2 @ ( produc1570949143e_name @ SV72 @ SV204 ) @ SV146 )
= SV146 )
= $true )
| ( ( SV72 = SV146 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1420]) ).
thf(1477,plain,
! [SV75: list_P227219501e_name] :
( ( ( SV75
= ( cons_P1213805021e_name @ ( sK45_SY461 @ SV75 ) @ ( cons_P1213805021e_name @ ( sK51_SY700 @ SV75 ) @ ( sK59_SY709 @ SV75 ) ) ) )
= $true )
| ( ( SV75
= ( cons_P1213805021e_name @ ( sK28_SY460 @ SV75 ) @ nil_Pr743626285e_name ) )
= $true )
| ( ( SV75 = nil_Pr743626285e_name )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1421]) ).
thf(1478,plain,
! [SV208: list_P227219501e_name,SV150: list_P227219501e_name,SV77: list_P227219501e_name > list_P227219501e_name > $o] :
( ( ( ! [SY724: produc367475239e_name,SY725: list_P227219501e_name] :
( ~ ( SV77 @ ( sK65_SY718 @ SV150 @ SV208 @ SV77 ) @ ( cons_P1213805021e_name @ SY724 @ SY725 ) )
| ~ ( SV77 @ ( cons_P1213805021e_name @ ( sK60_SY470 @ SV208 @ SV150 @ SV77 ) @ ( sK65_SY718 @ SV150 @ SV208 @ SV77 ) ) @ SY725 )
| ( SV77 @ ( cons_P1213805021e_name @ ( sK60_SY470 @ SV208 @ SV150 @ SV77 ) @ ( sK65_SY718 @ SV150 @ SV208 @ SV77 ) ) @ ( cons_P1213805021e_name @ SY724 @ SY725 ) ) ) )
= $false )
| ( ( SV77 @ SV150 @ SV208 )
= $true )
| ( ( SV77 @ ( sK41_SY469 @ SV208 @ SV150 @ SV77 ) @ nil_Pr743626285e_name )
= $false )
| ( ( SV77 @ nil_Pr743626285e_name @ ( sK19_SY468 @ SV208 @ SV150 @ SV77 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1422]) ).
thf(1479,plain,
! [SV79: name,SV152: name,SV210: name] :
( ( ( SV210 != SV152 )
= $true )
| ( ( ( swap_name @ ( produc1570949143e_name @ SV79 @ SV210 ) @ SV152 )
= SV79 )
= $true )
| ( ( SV79 = SV152 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1423]) ).
thf(1480,plain,
! [SV79: name,SV152: name,SV210: name] :
( ( ( ~ ( ( SV210 != SV152 ) ) )
= $true )
| ( ( ( swap_name @ ( produc1570949143e_name @ SV79 @ SV210 ) @ SV152 )
= SV152 )
= $true )
| ( ( SV79 = SV152 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1424]) ).
thf(1481,plain,
! [SV153: list_P227219501e_name,SV211: list_P227219501e_name,SV80: list_P227219501e_name > list_P227219501e_name > $o] :
( ( ( SV80 @ ( sK52_SY702 @ SV211 @ SV153 @ SV80 ) @ ( sK46_SY695 @ SV153 @ SV211 @ SV80 ) )
= $true )
| ( ( SV80 @ SV153 @ SV211 )
= $true )
| ( ( SV80 @ nil_Pr743626285e_name @ ( sK20_SY481 @ SV211 @ SV153 @ SV80 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1425]) ).
thf(1482,plain,
! [SV230: name,SV155: name,SV212: name,SV82: name] :
( ( ( SV82 != SV212 )
= $false )
| ( ( ( produc1570949143e_name @ SV82 @ SV155 )
= ( produc1570949143e_name @ SV212 @ SV230 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1427]) ).
thf(1483,plain,
! [SV212: name,SV82: name,SV230: name,SV155: name] :
( ( ( SV155 != SV230 )
= $false )
| ( ( ( produc1570949143e_name @ SV82 @ SV155 )
= ( produc1570949143e_name @ SV212 @ SV230 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1427]) ).
thf(1484,plain,
! [SV230: name,SV212: name,SV155: name,SV82: name] :
( ( ( ( ( produc1570949143e_name @ SV82 @ SV155 )
!= ( produc1570949143e_name @ SV212 @ SV230 ) )
| ~ ~ ( ( SV82 != SV212 )
| ( SV155 != SV230 ) ) )
= $false )
| ( ( SV82 = SV212 )
= $false )
| ( ( SV155 = SV230 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1428]) ).
thf(1485,plain,
! [SV84: list_P227219501e_name] :
( ( ( ! [SY710: list_P227219501e_name] :
( SV84
!= ( cons_P1213805021e_name @ ( sK53_SY491 @ SV84 ) @ SY710 ) ) )
= $false )
| ( ( SV84 = nil_Pr743626285e_name )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1429]) ).
thf(1486,plain,
! [SV240: list_P227219501e_name,SV239: produc367475239e_name,SV84: list_P227219501e_name] :
( ( ( ~ ( ( SV84 != nil_Pr743626285e_name ) ) )
= $false )
| ( ( SV84
= ( cons_P1213805021e_name @ SV239 @ SV240 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1430]) ).
thf(1487,plain,
! [SV240: list_P227219501e_name,SV239: produc367475239e_name,SV84: list_P227219501e_name] :
( ( ( ~ ~ ! [SY491: produc367475239e_name] :
~ ~ ! [SY492: list_P227219501e_name] :
( SV84
!= ( cons_P1213805021e_name @ SY491 @ SY492 ) ) )
= $false )
| ( ( SV84
= ( cons_P1213805021e_name @ SV239 @ SV240 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1430]) ).
thf(1488,plain,
! [SV231: list_P227219501e_name,SV156: list_P227219501e_name,SV213: produc367475239e_name,SV86: produc367475239e_name] :
( ( ( SV86 != SV213 )
= $false )
| ( ( ( cons_P1213805021e_name @ SV86 @ SV156 )
= ( cons_P1213805021e_name @ SV213 @ SV231 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1431]) ).
thf(1489,plain,
! [SV213: produc367475239e_name,SV86: produc367475239e_name,SV231: list_P227219501e_name,SV156: list_P227219501e_name] :
( ( ( SV156 != SV231 )
= $false )
| ( ( ( cons_P1213805021e_name @ SV86 @ SV156 )
= ( cons_P1213805021e_name @ SV213 @ SV231 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1431]) ).
thf(1490,plain,
! [SV231: list_P227219501e_name,SV213: produc367475239e_name,SV156: list_P227219501e_name,SV86: produc367475239e_name] :
( ( ( ( ( cons_P1213805021e_name @ SV86 @ SV156 )
!= ( cons_P1213805021e_name @ SV213 @ SV231 ) )
| ~ ~ ( ( SV86 != SV213 )
| ( SV156 != SV231 ) ) )
= $false )
| ( ( SV86 = SV213 )
= $false )
| ( ( SV156 = SV231 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1432]) ).
thf(1491,plain,
! [SV162: produc367475239e_name > produc367475239e_name > $o,SV219: list_P227219501e_name,SV90: ( produc367475239e_name > produc367475239e_name > $o ) > list_P227219501e_name > $o] :
( ( ( SV90 @ ( sK43_SY510 @ SV219 @ SV162 @ SV90 ) @ ( sK54_SY703 @ SV162 @ SV219 @ SV90 ) )
= $true )
| ( ( SV90 @ SV162 @ SV219 )
= $true )
| ( ( SV90 @ ( sK23_SY509 @ SV219 @ SV162 @ SV90 ) @ nil_Pr743626285e_name )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1433]) ).
thf(1492,plain,
! [SV165: list_P227219501e_name,SV93: list_P227219501e_name > $o] :
( ( ( ~ ( SV93 @ ( sK61_SY711 @ SV165 @ SV93 ) ) )
= $false )
| ( ( SV93 @ SV165 )
= $true )
| ( ( SV93 @ ( cons_P1213805021e_name @ ( sK30_SY517 @ SV165 @ SV93 ) @ nil_Pr743626285e_name ) )
= $false )
| ( ( SV93 @ nil_Pr743626285e_name )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1435]) ).
thf(1493,plain,
! [SV165: list_P227219501e_name,SV93: list_P227219501e_name > $o] :
( ( ( ~ ( SV93 @ ( cons_P1213805021e_name @ ( sK55_SY704 @ SV165 @ SV93 ) @ ( sK61_SY711 @ SV165 @ SV93 ) ) )
| ( SV93 @ ( cons_P1213805021e_name @ ( sK48_SY518 @ SV165 @ SV93 ) @ ( cons_P1213805021e_name @ ( sK55_SY704 @ SV165 @ SV93 ) @ ( sK61_SY711 @ SV165 @ SV93 ) ) ) ) )
= $false )
| ( ( SV93 @ SV165 )
= $true )
| ( ( SV93 @ ( cons_P1213805021e_name @ ( sK30_SY517 @ SV165 @ SV93 ) @ nil_Pr743626285e_name ) )
= $false )
| ( ( SV93 @ nil_Pr743626285e_name )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1435]) ).
thf(1494,plain,
! [SV47: $o] :
( ( ( ~ SV47
| ~ $false )
= $false )
| ( SV47 = $false )
| ( SV47 = $false )
| ( SV47 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1436]) ).
thf(1495,plain,
! [SV47: $o] :
( ( ( ~ SV47
| ~ $false )
= $false )
| ( $false = $false )
| ( SV47 = $false )
| ( SV47 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1437]) ).
thf(1496,plain,
! [SV47: $o] :
( ( ( ~ SV47
| ~ $false )
= $false )
| ( SV47 = $false )
| ( SV47 = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1438]) ).
thf(1497,plain,
! [SV47: $o] :
( ( ( ~ SV47
| ~ $false )
= $false )
| ( $false = $false )
| ( SV47 = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1439]) ).
thf(1498,plain,
! [SV47: $o] :
( ( ( ~ SV47
| ~ $false )
= $false )
| ( SV47 = $false )
| ( $true = $false )
| ( SV47 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1440]) ).
thf(1499,plain,
! [SV47: $o] :
( ( ( ~ SV47
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( SV47 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1441]) ).
thf(1500,plain,
! [SV47: $o] :
( ( ( ~ SV47
| ~ $false )
= $false )
| ( SV47 = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1442]) ).
thf(1501,plain,
! [SV47: $o] :
( ( ( ~ SV47
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1443]) ).
thf(1502,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1444]) ).
thf(1503,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1445]) ).
thf(1504,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1446]) ).
thf(1505,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1447]) ).
thf(1506,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1448]) ).
thf(1507,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1449]) ).
thf(1508,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1450]) ).
thf(1509,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1451]) ).
thf(1510,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1452]) ).
thf(1511,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1453]) ).
thf(1512,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1454]) ).
thf(1513,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1455]) ).
thf(1514,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1456]) ).
thf(1515,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1457]) ).
thf(1516,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1458]) ).
thf(1517,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1459]) ).
thf(1518,plain,
! [SV222: name,SV129: name,SV194: name,SV48: name] :
( ( ( SV48 = SV194 )
= $true )
| ( ( ( late_OutputR @ SV48 @ SV129 )
= ( late_OutputR @ SV194 @ SV222 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1460]) ).
thf(1519,plain,
! [SV194: name,SV48: name,SV222: name,SV129: name] :
( ( ( SV129 = SV222 )
= $true )
| ( ( ( late_OutputR @ SV48 @ SV129 )
= ( late_OutputR @ SV194 @ SV222 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1461]) ).
thf(1520,plain,
! [SV222: name,SV194: name,SV129: name,SV48: name] :
( ( ( ( late_OutputR @ SV48 @ SV129 )
!= ( late_OutputR @ SV194 @ SV222 ) )
= $false )
| ( ( SV48 = SV194 )
= $false )
| ( ( SV129 = SV222 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1462]) ).
thf(1521,plain,
! [SV222: name,SV129: name,SV194: name,SV48: name] :
( ( ( ~ ~ ( ( SV48 != SV194 )
| ( SV129 != SV222 ) ) )
= $false )
| ( ( SV48 = SV194 )
= $false )
| ( ( SV129 = SV222 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1462]) ).
thf(1522,plain,
! [SV52: produc890461031e_name] :
( ( ( SV52
!= ( produc208131031e_name @ ( cons_P1213805021e_name @ ( sK49_SY383 @ SV52 ) @ ( sK56_SY706 @ SV52 ) ) @ ( cons_P1213805021e_name @ ( sK62_SY712 @ SV52 ) @ ( sK66_SY721 @ SV52 ) ) ) )
= $false )
| ( ( SV52
= ( produc208131031e_name @ ( sK31_SY382 @ SV52 ) @ nil_Pr743626285e_name ) )
= $true )
| ( ( SV52
= ( produc208131031e_name @ nil_Pr743626285e_name @ ( sK5_SY381 @ SV52 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1463]) ).
thf(1523,plain,
! [SV225: pi,SV134: pi,SV197: late_freeRes,SV57: late_freeRes] :
( ( ( SV57 = SV197 )
= $true )
| ( ( ( late_FreeR @ SV57 @ SV134 )
= ( late_FreeR @ SV197 @ SV225 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1464]) ).
thf(1524,plain,
! [SV197: late_freeRes,SV57: late_freeRes,SV225: pi,SV134: pi] :
( ( ( SV134 = SV225 )
= $true )
| ( ( ( late_FreeR @ SV57 @ SV134 )
= ( late_FreeR @ SV197 @ SV225 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1465]) ).
thf(1525,plain,
! [SV225: pi,SV197: late_freeRes,SV134: pi,SV57: late_freeRes] :
( ( ( ( late_FreeR @ SV57 @ SV134 )
!= ( late_FreeR @ SV197 @ SV225 ) )
= $false )
| ( ( SV57 = SV197 )
= $false )
| ( ( SV134 = SV225 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1466]) ).
thf(1526,plain,
! [SV225: pi,SV134: pi,SV197: late_freeRes,SV57: late_freeRes] :
( ( ( ~ ~ ( ( SV57 != SV197 )
| ( SV134 != SV225 ) ) )
= $false )
| ( ( SV57 = SV197 )
= $false )
| ( ( SV134 = SV225 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1466]) ).
thf(1527,plain,
! [SV226: name,SV140: name,SV200: name,SV63: name] :
( ( ( SV63 = SV200 )
= $true )
| ( ( ( late_OutputR @ SV63 @ SV140 )
= ( late_OutputR @ SV200 @ SV226 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1467]) ).
thf(1528,plain,
! [SV200: name,SV63: name,SV226: name,SV140: name] :
( ( ( SV140 = SV226 )
= $true )
| ( ( ( late_OutputR @ SV63 @ SV140 )
= ( late_OutputR @ SV200 @ SV226 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1468]) ).
thf(1529,plain,
! [SV226: name,SV200: name,SV140: name,SV63: name] :
( ( ( ( late_OutputR @ SV63 @ SV140 )
!= ( late_OutputR @ SV200 @ SV226 ) )
= $false )
| ( ( SV63 = SV200 )
= $false )
| ( ( SV140 = SV226 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1469]) ).
thf(1530,plain,
! [SV226: name,SV140: name,SV200: name,SV63: name] :
( ( ( ~ ~ ( ( SV63 != SV200 )
| ( SV140 != SV226 ) ) )
= $false )
| ( ( SV63 = SV200 )
= $false )
| ( ( SV140 = SV226 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1469]) ).
thf(1531,plain,
! [SV64: produc1872410278e_name] :
( ( ( ! [SY726: list_P227219501e_name] :
( SV64
!= ( produc1069608854e_name @ ( sK57_SY424 @ SV64 ) @ ( cons_P1213805021e_name @ ( sK63_SY714 @ SV64 ) @ ( cons_P1213805021e_name @ ( sK67_SY722 @ SV64 ) @ SY726 ) ) ) ) )
= $false )
| ( ( SV64
= ( produc1069608854e_name @ ( sK33_SY422 @ SV64 ) @ ( cons_P1213805021e_name @ ( sK38_SY692 @ SV64 ) @ nil_Pr743626285e_name ) ) )
= $true )
| ( ( SV64
= ( produc1069608854e_name @ ( sK7_SY421 @ SV64 ) @ nil_Pr743626285e_name ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1470]) ).
thf(1532,plain,
! [SV201: list_P227219501e_name,SV143: list_P227219501e_name,SV69: list_P227219501e_name > list_P227219501e_name > $o] :
( ( ( ~ ! [SY444: produc367475239e_name,SY445: list_P227219501e_name,SY446: produc367475239e_name,SY447: list_P227219501e_name] :
( ~ ( SV69 @ SY445 @ SY447 )
| ( SV69 @ ( cons_P1213805021e_name @ SY444 @ SY445 ) @ ( cons_P1213805021e_name @ SY446 @ SY447 ) ) ) )
= $true )
| ( ( SV69 @ SV143 @ SV201 )
= $true )
| ( ( SV69 @ nil_Pr743626285e_name @ ( cons_P1213805021e_name @ ( sK58_SY442 @ SV201 @ SV143 @ SV69 ) @ ( sK64_SY717 @ SV143 @ SV201 @ SV69 ) ) )
= $false )
| ( ( SV69 @ ( cons_P1213805021e_name @ ( sK36_SY440 @ SV201 @ SV143 @ SV69 ) @ ( sK40_SY694 @ SV143 @ SV201 @ SV69 ) ) @ nil_Pr743626285e_name )
= $false )
| ( ( SV69 @ nil_Pr743626285e_name @ nil_Pr743626285e_name )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1471]) ).
thf(1533,plain,
! [SV227: name,SV145: name,SV203: name,SV71: name] :
( ( ( SV71 = SV203 )
= $true )
| ( ( ( produc1570949143e_name @ SV71 @ SV145 )
= ( produc1570949143e_name @ SV203 @ SV227 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1472]) ).
thf(1534,plain,
! [SV203: name,SV71: name,SV227: name,SV145: name] :
( ( ( SV145 = SV227 )
= $true )
| ( ( ( produc1570949143e_name @ SV71 @ SV145 )
= ( produc1570949143e_name @ SV203 @ SV227 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1473]) ).
thf(1535,plain,
! [SV227: name,SV203: name,SV145: name,SV71: name] :
( ( ( ( produc1570949143e_name @ SV71 @ SV145 )
!= ( produc1570949143e_name @ SV203 @ SV227 ) )
= $false )
| ( ( SV71 = SV203 )
= $false )
| ( ( SV145 = SV227 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1474]) ).
thf(1536,plain,
! [SV227: name,SV145: name,SV203: name,SV71: name] :
( ( ( ~ ~ ( ( SV71 != SV203 )
| ( SV145 != SV227 ) ) )
= $false )
| ( ( SV71 = SV203 )
= $false )
| ( ( SV145 = SV227 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1474]) ).
thf(1537,plain,
! [SV72: name,SV146: name,SV204: name] :
( ( ( SV204 = SV146 )
= $false )
| ( ( ( swap_name2 @ ( produc1570949143e_name @ SV72 @ SV204 ) @ SV146 )
= SV72 )
= $true )
| ( ( SV72 = SV146 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1475]) ).
thf(1538,plain,
! [SV72: name,SV146: name,SV204: name] :
( ( ( SV204 != SV146 )
= $false )
| ( ( ( swap_name2 @ ( produc1570949143e_name @ SV72 @ SV204 ) @ SV146 )
= SV146 )
= $true )
| ( ( SV72 = SV146 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1476]) ).
thf(1539,plain,
! [SV208: list_P227219501e_name,SV150: list_P227219501e_name,SV77: list_P227219501e_name > list_P227219501e_name > $o] :
( ( ( ! [SY727: list_P227219501e_name] :
( ~ ( SV77 @ ( sK65_SY718 @ SV150 @ SV208 @ SV77 ) @ ( cons_P1213805021e_name @ ( sK68_SY724 @ SV208 @ SV150 @ SV77 ) @ SY727 ) )
| ~ ( SV77 @ ( cons_P1213805021e_name @ ( sK60_SY470 @ SV208 @ SV150 @ SV77 ) @ ( sK65_SY718 @ SV150 @ SV208 @ SV77 ) ) @ SY727 )
| ( SV77 @ ( cons_P1213805021e_name @ ( sK60_SY470 @ SV208 @ SV150 @ SV77 ) @ ( sK65_SY718 @ SV150 @ SV208 @ SV77 ) ) @ ( cons_P1213805021e_name @ ( sK68_SY724 @ SV208 @ SV150 @ SV77 ) @ SY727 ) ) ) )
= $false )
| ( ( SV77 @ SV150 @ SV208 )
= $true )
| ( ( SV77 @ ( sK41_SY469 @ SV208 @ SV150 @ SV77 ) @ nil_Pr743626285e_name )
= $false )
| ( ( SV77 @ nil_Pr743626285e_name @ ( sK19_SY468 @ SV208 @ SV150 @ SV77 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1478]) ).
thf(1540,plain,
! [SV79: name,SV152: name,SV210: name] :
( ( ( SV210 = SV152 )
= $false )
| ( ( ( swap_name @ ( produc1570949143e_name @ SV79 @ SV210 ) @ SV152 )
= SV79 )
= $true )
| ( ( SV79 = SV152 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1479]) ).
thf(1541,plain,
! [SV79: name,SV152: name,SV210: name] :
( ( ( SV210 != SV152 )
= $false )
| ( ( ( swap_name @ ( produc1570949143e_name @ SV79 @ SV210 ) @ SV152 )
= SV152 )
= $true )
| ( ( SV79 = SV152 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1480]) ).
thf(1542,plain,
! [SV230: name,SV155: name,SV212: name,SV82: name] :
( ( ( SV82 = SV212 )
= $true )
| ( ( ( produc1570949143e_name @ SV82 @ SV155 )
= ( produc1570949143e_name @ SV212 @ SV230 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1482]) ).
thf(1543,plain,
! [SV212: name,SV82: name,SV230: name,SV155: name] :
( ( ( SV155 = SV230 )
= $true )
| ( ( ( produc1570949143e_name @ SV82 @ SV155 )
= ( produc1570949143e_name @ SV212 @ SV230 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1483]) ).
thf(1544,plain,
! [SV230: name,SV212: name,SV155: name,SV82: name] :
( ( ( ( produc1570949143e_name @ SV82 @ SV155 )
!= ( produc1570949143e_name @ SV212 @ SV230 ) )
= $false )
| ( ( SV82 = SV212 )
= $false )
| ( ( SV155 = SV230 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1484]) ).
thf(1545,plain,
! [SV230: name,SV155: name,SV212: name,SV82: name] :
( ( ( ~ ~ ( ( SV82 != SV212 )
| ( SV155 != SV230 ) ) )
= $false )
| ( ( SV82 = SV212 )
= $false )
| ( ( SV155 = SV230 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1484]) ).
thf(1546,plain,
! [SV84: list_P227219501e_name] :
( ( ( SV84
!= ( cons_P1213805021e_name @ ( sK53_SY491 @ SV84 ) @ ( sK69_SY710 @ SV84 ) ) )
= $false )
| ( ( SV84 = nil_Pr743626285e_name )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1485]) ).
thf(1547,plain,
! [SV240: list_P227219501e_name,SV239: produc367475239e_name,SV84: list_P227219501e_name] :
( ( ( SV84 != nil_Pr743626285e_name )
= $true )
| ( ( SV84
= ( cons_P1213805021e_name @ SV239 @ SV240 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1486]) ).
thf(1548,plain,
! [SV240: list_P227219501e_name,SV239: produc367475239e_name,SV84: list_P227219501e_name] :
( ( ( ~ ! [SY491: produc367475239e_name] :
~ ~ ! [SY492: list_P227219501e_name] :
( SV84
!= ( cons_P1213805021e_name @ SY491 @ SY492 ) ) )
= $true )
| ( ( SV84
= ( cons_P1213805021e_name @ SV239 @ SV240 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1487]) ).
thf(1549,plain,
! [SV231: list_P227219501e_name,SV156: list_P227219501e_name,SV213: produc367475239e_name,SV86: produc367475239e_name] :
( ( ( SV86 = SV213 )
= $true )
| ( ( ( cons_P1213805021e_name @ SV86 @ SV156 )
= ( cons_P1213805021e_name @ SV213 @ SV231 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1488]) ).
thf(1550,plain,
! [SV213: produc367475239e_name,SV86: produc367475239e_name,SV231: list_P227219501e_name,SV156: list_P227219501e_name] :
( ( ( SV156 = SV231 )
= $true )
| ( ( ( cons_P1213805021e_name @ SV86 @ SV156 )
= ( cons_P1213805021e_name @ SV213 @ SV231 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1489]) ).
thf(1551,plain,
! [SV231: list_P227219501e_name,SV213: produc367475239e_name,SV156: list_P227219501e_name,SV86: produc367475239e_name] :
( ( ( ( cons_P1213805021e_name @ SV86 @ SV156 )
!= ( cons_P1213805021e_name @ SV213 @ SV231 ) )
= $false )
| ( ( SV86 = SV213 )
= $false )
| ( ( SV156 = SV231 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1490]) ).
thf(1552,plain,
! [SV231: list_P227219501e_name,SV156: list_P227219501e_name,SV213: produc367475239e_name,SV86: produc367475239e_name] :
( ( ( ~ ~ ( ( SV86 != SV213 )
| ( SV156 != SV231 ) ) )
= $false )
| ( ( SV86 = SV213 )
= $false )
| ( ( SV156 = SV231 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1490]) ).
thf(1553,plain,
! [SV165: list_P227219501e_name,SV93: list_P227219501e_name > $o] :
( ( ( SV93 @ ( sK61_SY711 @ SV165 @ SV93 ) )
= $true )
| ( ( SV93 @ SV165 )
= $true )
| ( ( SV93 @ ( cons_P1213805021e_name @ ( sK30_SY517 @ SV165 @ SV93 ) @ nil_Pr743626285e_name ) )
= $false )
| ( ( SV93 @ nil_Pr743626285e_name )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1492]) ).
thf(1554,plain,
! [SV165: list_P227219501e_name,SV93: list_P227219501e_name > $o] :
( ( ( ~ ( SV93 @ ( cons_P1213805021e_name @ ( sK55_SY704 @ SV165 @ SV93 ) @ ( sK61_SY711 @ SV165 @ SV93 ) ) ) )
= $false )
| ( ( SV93 @ SV165 )
= $true )
| ( ( SV93 @ ( cons_P1213805021e_name @ ( sK30_SY517 @ SV165 @ SV93 ) @ nil_Pr743626285e_name ) )
= $false )
| ( ( SV93 @ nil_Pr743626285e_name )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1493]) ).
thf(1555,plain,
! [SV165: list_P227219501e_name,SV93: list_P227219501e_name > $o] :
( ( ( SV93 @ ( cons_P1213805021e_name @ ( sK48_SY518 @ SV165 @ SV93 ) @ ( cons_P1213805021e_name @ ( sK55_SY704 @ SV165 @ SV93 ) @ ( sK61_SY711 @ SV165 @ SV93 ) ) ) )
= $false )
| ( ( SV93 @ SV165 )
= $true )
| ( ( SV93 @ ( cons_P1213805021e_name @ ( sK30_SY517 @ SV165 @ SV93 ) @ nil_Pr743626285e_name ) )
= $false )
| ( ( SV93 @ nil_Pr743626285e_name )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1493]) ).
thf(1556,plain,
! [SV47: $o] :
( ( ( ~ SV47 ) = $false )
| ( SV47 = $false )
| ( SV47 = $false )
| ( SV47 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1494]) ).
thf(1557,plain,
! [SV47: $o] :
( ( ( ~ $false ) = $false )
| ( SV47 = $false )
| ( SV47 = $false )
| ( SV47 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1494]) ).
thf(1558,plain,
! [SV47: $o] :
( ( ( ~ SV47 ) = $false )
| ( $false = $false )
| ( SV47 = $false )
| ( SV47 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1495]) ).
thf(1559,plain,
! [SV47: $o] :
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( SV47 = $false )
| ( SV47 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1495]) ).
thf(1560,plain,
! [SV47: $o] :
( ( ( ~ SV47 ) = $false )
| ( SV47 = $false )
| ( SV47 = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1496]) ).
thf(1561,plain,
! [SV47: $o] :
( ( ( ~ $false ) = $false )
| ( SV47 = $false )
| ( SV47 = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1496]) ).
thf(1562,plain,
! [SV47: $o] :
( ( ( ~ SV47 ) = $false )
| ( $false = $false )
| ( SV47 = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1497]) ).
thf(1563,plain,
! [SV47: $o] :
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( SV47 = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1497]) ).
thf(1564,plain,
! [SV47: $o] :
( ( ( ~ SV47 ) = $false )
| ( SV47 = $false )
| ( $true = $false )
| ( SV47 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1498]) ).
thf(1565,plain,
! [SV47: $o] :
( ( ( ~ $false ) = $false )
| ( SV47 = $false )
| ( $true = $false )
| ( SV47 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1498]) ).
thf(1566,plain,
! [SV47: $o] :
( ( ( ~ SV47 ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( SV47 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1499]) ).
thf(1567,plain,
! [SV47: $o] :
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( SV47 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1499]) ).
thf(1568,plain,
! [SV47: $o] :
( ( ( ~ SV47 ) = $false )
| ( SV47 = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1500]) ).
thf(1569,plain,
! [SV47: $o] :
( ( ( ~ $false ) = $false )
| ( SV47 = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1500]) ).
thf(1570,plain,
! [SV47: $o] :
( ( ( ~ SV47 ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1501]) ).
thf(1571,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1501]) ).
thf(1572,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1502]) ).
thf(1573,plain,
( ( ( ~ $false ) = $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1502]) ).
thf(1574,plain,
( ( ( ~ $true ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1503]) ).
thf(1575,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1503]) ).
thf(1576,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1504]) ).
thf(1577,plain,
( ( ( ~ $false ) = $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1504]) ).
thf(1578,plain,
( ( ( ~ $true ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1505]) ).
thf(1579,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1505]) ).
thf(1580,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1506]) ).
thf(1581,plain,
( ( ( ~ $false ) = $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1506]) ).
thf(1582,plain,
( ( ( ~ $true ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1507]) ).
thf(1583,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1507]) ).
thf(1584,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1508]) ).
thf(1585,plain,
( ( ( ~ $false ) = $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1508]) ).
thf(1586,plain,
( ( ( ~ $true ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1509]) ).
thf(1587,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1509]) ).
thf(1588,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1510]) ).
thf(1589,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1510]) ).
thf(1590,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1511]) ).
thf(1591,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1511]) ).
thf(1592,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1512]) ).
thf(1593,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1512]) ).
thf(1594,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1513]) ).
thf(1595,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1513]) ).
thf(1596,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1514]) ).
thf(1597,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1514]) ).
thf(1598,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1515]) ).
thf(1599,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1515]) ).
thf(1600,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1516]) ).
thf(1601,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1516]) ).
thf(1602,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1517]) ).
thf(1603,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1517]) ).
thf(1604,plain,
! [SV222: name,SV194: name,SV129: name,SV48: name] :
( ( ( ( late_OutputR @ SV48 @ SV129 )
= ( late_OutputR @ SV194 @ SV222 ) )
= $true )
| ( ( SV48 = SV194 )
= $false )
| ( ( SV129 = SV222 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1520]) ).
thf(1605,plain,
! [SV222: name,SV129: name,SV194: name,SV48: name] :
( ( ( ~ ( ( SV48 != SV194 )
| ( SV129 != SV222 ) ) )
= $true )
| ( ( SV48 = SV194 )
= $false )
| ( ( SV129 = SV222 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1521]) ).
thf(1606,plain,
! [SV52: produc890461031e_name] :
( ( ( SV52
= ( produc208131031e_name @ ( cons_P1213805021e_name @ ( sK49_SY383 @ SV52 ) @ ( sK56_SY706 @ SV52 ) ) @ ( cons_P1213805021e_name @ ( sK62_SY712 @ SV52 ) @ ( sK66_SY721 @ SV52 ) ) ) )
= $true )
| ( ( SV52
= ( produc208131031e_name @ ( sK31_SY382 @ SV52 ) @ nil_Pr743626285e_name ) )
= $true )
| ( ( SV52
= ( produc208131031e_name @ nil_Pr743626285e_name @ ( sK5_SY381 @ SV52 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1522]) ).
thf(1607,plain,
! [SV225: pi,SV197: late_freeRes,SV134: pi,SV57: late_freeRes] :
( ( ( ( late_FreeR @ SV57 @ SV134 )
= ( late_FreeR @ SV197 @ SV225 ) )
= $true )
| ( ( SV57 = SV197 )
= $false )
| ( ( SV134 = SV225 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1525]) ).
thf(1608,plain,
! [SV225: pi,SV134: pi,SV197: late_freeRes,SV57: late_freeRes] :
( ( ( ~ ( ( SV57 != SV197 )
| ( SV134 != SV225 ) ) )
= $true )
| ( ( SV57 = SV197 )
= $false )
| ( ( SV134 = SV225 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1526]) ).
thf(1609,plain,
! [SV226: name,SV200: name,SV140: name,SV63: name] :
( ( ( ( late_OutputR @ SV63 @ SV140 )
= ( late_OutputR @ SV200 @ SV226 ) )
= $true )
| ( ( SV63 = SV200 )
= $false )
| ( ( SV140 = SV226 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1529]) ).
thf(1610,plain,
! [SV226: name,SV140: name,SV200: name,SV63: name] :
( ( ( ~ ( ( SV63 != SV200 )
| ( SV140 != SV226 ) ) )
= $true )
| ( ( SV63 = SV200 )
= $false )
| ( ( SV140 = SV226 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1530]) ).
thf(1611,plain,
! [SV64: produc1872410278e_name] :
( ( ( SV64
!= ( produc1069608854e_name @ ( sK57_SY424 @ SV64 ) @ ( cons_P1213805021e_name @ ( sK63_SY714 @ SV64 ) @ ( cons_P1213805021e_name @ ( sK67_SY722 @ SV64 ) @ ( sK70_SY726 @ SV64 ) ) ) ) )
= $false )
| ( ( SV64
= ( produc1069608854e_name @ ( sK33_SY422 @ SV64 ) @ ( cons_P1213805021e_name @ ( sK38_SY692 @ SV64 ) @ nil_Pr743626285e_name ) ) )
= $true )
| ( ( SV64
= ( produc1069608854e_name @ ( sK7_SY421 @ SV64 ) @ nil_Pr743626285e_name ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1531]) ).
thf(1612,plain,
! [SV201: list_P227219501e_name,SV143: list_P227219501e_name,SV69: list_P227219501e_name > list_P227219501e_name > $o] :
( ( ( ! [SY444: produc367475239e_name,SY445: list_P227219501e_name,SY446: produc367475239e_name,SY447: list_P227219501e_name] :
( ~ ( SV69 @ SY445 @ SY447 )
| ( SV69 @ ( cons_P1213805021e_name @ SY444 @ SY445 ) @ ( cons_P1213805021e_name @ SY446 @ SY447 ) ) ) )
= $false )
| ( ( SV69 @ SV143 @ SV201 )
= $true )
| ( ( SV69 @ nil_Pr743626285e_name @ ( cons_P1213805021e_name @ ( sK58_SY442 @ SV201 @ SV143 @ SV69 ) @ ( sK64_SY717 @ SV143 @ SV201 @ SV69 ) ) )
= $false )
| ( ( SV69 @ ( cons_P1213805021e_name @ ( sK36_SY440 @ SV201 @ SV143 @ SV69 ) @ ( sK40_SY694 @ SV143 @ SV201 @ SV69 ) ) @ nil_Pr743626285e_name )
= $false )
| ( ( SV69 @ nil_Pr743626285e_name @ nil_Pr743626285e_name )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1532]) ).
thf(1613,plain,
! [SV227: name,SV203: name,SV145: name,SV71: name] :
( ( ( ( produc1570949143e_name @ SV71 @ SV145 )
= ( produc1570949143e_name @ SV203 @ SV227 ) )
= $true )
| ( ( SV71 = SV203 )
= $false )
| ( ( SV145 = SV227 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1535]) ).
thf(1614,plain,
! [SV227: name,SV145: name,SV203: name,SV71: name] :
( ( ( ~ ( ( SV71 != SV203 )
| ( SV145 != SV227 ) ) )
= $true )
| ( ( SV71 = SV203 )
= $false )
| ( ( SV145 = SV227 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1536]) ).
thf(1615,plain,
! [SV72: name,SV146: name,SV204: name] :
( ( ( SV204 = SV146 )
= $true )
| ( ( ( swap_name2 @ ( produc1570949143e_name @ SV72 @ SV204 ) @ SV146 )
= SV146 )
= $true )
| ( ( SV72 = SV146 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1538]) ).
thf(1616,plain,
! [SV208: list_P227219501e_name,SV150: list_P227219501e_name,SV77: list_P227219501e_name > list_P227219501e_name > $o] :
( ( ( ~ ( SV77 @ ( sK65_SY718 @ SV150 @ SV208 @ SV77 ) @ ( cons_P1213805021e_name @ ( sK68_SY724 @ SV208 @ SV150 @ SV77 ) @ ( sK71_SY727 @ SV208 @ SV150 @ SV77 ) ) )
| ~ ( SV77 @ ( cons_P1213805021e_name @ ( sK60_SY470 @ SV208 @ SV150 @ SV77 ) @ ( sK65_SY718 @ SV150 @ SV208 @ SV77 ) ) @ ( sK71_SY727 @ SV208 @ SV150 @ SV77 ) )
| ( SV77 @ ( cons_P1213805021e_name @ ( sK60_SY470 @ SV208 @ SV150 @ SV77 ) @ ( sK65_SY718 @ SV150 @ SV208 @ SV77 ) ) @ ( cons_P1213805021e_name @ ( sK68_SY724 @ SV208 @ SV150 @ SV77 ) @ ( sK71_SY727 @ SV208 @ SV150 @ SV77 ) ) ) )
= $false )
| ( ( SV77 @ SV150 @ SV208 )
= $true )
| ( ( SV77 @ ( sK41_SY469 @ SV208 @ SV150 @ SV77 ) @ nil_Pr743626285e_name )
= $false )
| ( ( SV77 @ nil_Pr743626285e_name @ ( sK19_SY468 @ SV208 @ SV150 @ SV77 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1539]) ).
thf(1617,plain,
! [SV79: name,SV152: name,SV210: name] :
( ( ( SV210 = SV152 )
= $true )
| ( ( ( swap_name @ ( produc1570949143e_name @ SV79 @ SV210 ) @ SV152 )
= SV152 )
= $true )
| ( ( SV79 = SV152 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1541]) ).
thf(1618,plain,
! [SV230: name,SV212: name,SV155: name,SV82: name] :
( ( ( ( produc1570949143e_name @ SV82 @ SV155 )
= ( produc1570949143e_name @ SV212 @ SV230 ) )
= $true )
| ( ( SV82 = SV212 )
= $false )
| ( ( SV155 = SV230 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1544]) ).
thf(1619,plain,
! [SV230: name,SV155: name,SV212: name,SV82: name] :
( ( ( ~ ( ( SV82 != SV212 )
| ( SV155 != SV230 ) ) )
= $true )
| ( ( SV82 = SV212 )
= $false )
| ( ( SV155 = SV230 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1545]) ).
thf(1620,plain,
! [SV84: list_P227219501e_name] :
( ( ( SV84
= ( cons_P1213805021e_name @ ( sK53_SY491 @ SV84 ) @ ( sK69_SY710 @ SV84 ) ) )
= $true )
| ( ( SV84 = nil_Pr743626285e_name )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1546]) ).
thf(1621,plain,
! [SV240: list_P227219501e_name,SV239: produc367475239e_name,SV84: list_P227219501e_name] :
( ( ( SV84 = nil_Pr743626285e_name )
= $false )
| ( ( SV84
= ( cons_P1213805021e_name @ SV239 @ SV240 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1547]) ).
thf(1622,plain,
! [SV240: list_P227219501e_name,SV239: produc367475239e_name,SV84: list_P227219501e_name] :
( ( ( ! [SY491: produc367475239e_name] :
~ ~ ! [SY492: list_P227219501e_name] :
( SV84
!= ( cons_P1213805021e_name @ SY491 @ SY492 ) ) )
= $false )
| ( ( SV84
= ( cons_P1213805021e_name @ SV239 @ SV240 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1548]) ).
thf(1623,plain,
! [SV231: list_P227219501e_name,SV213: produc367475239e_name,SV156: list_P227219501e_name,SV86: produc367475239e_name] :
( ( ( ( cons_P1213805021e_name @ SV86 @ SV156 )
= ( cons_P1213805021e_name @ SV213 @ SV231 ) )
= $true )
| ( ( SV86 = SV213 )
= $false )
| ( ( SV156 = SV231 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1551]) ).
thf(1624,plain,
! [SV231: list_P227219501e_name,SV156: list_P227219501e_name,SV213: produc367475239e_name,SV86: produc367475239e_name] :
( ( ( ~ ( ( SV86 != SV213 )
| ( SV156 != SV231 ) ) )
= $true )
| ( ( SV86 = SV213 )
= $false )
| ( ( SV156 = SV231 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1552]) ).
thf(1625,plain,
! [SV165: list_P227219501e_name,SV93: list_P227219501e_name > $o] :
( ( ( SV93 @ ( cons_P1213805021e_name @ ( sK55_SY704 @ SV165 @ SV93 ) @ ( sK61_SY711 @ SV165 @ SV93 ) ) )
= $true )
| ( ( SV93 @ SV165 )
= $true )
| ( ( SV93 @ ( cons_P1213805021e_name @ ( sK30_SY517 @ SV165 @ SV93 ) @ nil_Pr743626285e_name ) )
= $false )
| ( ( SV93 @ nil_Pr743626285e_name )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1554]) ).
thf(1626,plain,
! [SV47: $o] :
( ( SV47 = $true )
| ( SV47 = $false )
| ( SV47 = $false )
| ( SV47 = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1556]) ).
thf(1627,plain,
! [SV47: $o] :
( ( $false = $true )
| ( SV47 = $false )
| ( SV47 = $false )
| ( SV47 = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1557]) ).
thf(1628,plain,
! [SV47: $o] :
( ( SV47 = $true )
| ( $false = $false )
| ( SV47 = $false )
| ( SV47 = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1558]) ).
thf(1629,plain,
! [SV47: $o] :
( ( $false = $true )
| ( $false = $false )
| ( SV47 = $false )
| ( SV47 = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1559]) ).
thf(1630,plain,
! [SV47: $o] :
( ( SV47 = $true )
| ( SV47 = $false )
| ( SV47 = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1560]) ).
thf(1631,plain,
! [SV47: $o] :
( ( $false = $true )
| ( SV47 = $false )
| ( SV47 = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1561]) ).
thf(1632,plain,
! [SV47: $o] :
( ( SV47 = $true )
| ( $false = $false )
| ( SV47 = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1562]) ).
thf(1633,plain,
! [SV47: $o] :
( ( $false = $true )
| ( $false = $false )
| ( SV47 = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1563]) ).
thf(1634,plain,
! [SV47: $o] :
( ( SV47 = $true )
| ( SV47 = $false )
| ( $true = $false )
| ( SV47 = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1564]) ).
thf(1635,plain,
! [SV47: $o] :
( ( $false = $true )
| ( SV47 = $false )
| ( $true = $false )
| ( SV47 = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1565]) ).
thf(1636,plain,
! [SV47: $o] :
( ( SV47 = $true )
| ( $false = $false )
| ( $true = $false )
| ( SV47 = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1566]) ).
thf(1637,plain,
! [SV47: $o] :
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( SV47 = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1567]) ).
thf(1638,plain,
! [SV47: $o] :
( ( SV47 = $true )
| ( SV47 = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1568]) ).
thf(1639,plain,
! [SV47: $o] :
( ( $false = $true )
| ( SV47 = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1569]) ).
thf(1640,plain,
! [SV47: $o] :
( ( SV47 = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1570]) ).
thf(1641,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1571]) ).
thf(1642,plain,
( ( $true = $true )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1572]) ).
thf(1643,plain,
( ( $false = $true )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1573]) ).
thf(1644,plain,
( ( $true = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1574]) ).
thf(1645,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1575]) ).
thf(1646,plain,
( ( $true = $true )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1576]) ).
thf(1647,plain,
( ( $false = $true )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1577]) ).
thf(1648,plain,
( ( $true = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1578]) ).
thf(1649,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1579]) ).
thf(1650,plain,
( ( $true = $true )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1580]) ).
thf(1651,plain,
( ( $false = $true )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1581]) ).
thf(1652,plain,
( ( $true = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1582]) ).
thf(1653,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1583]) ).
thf(1654,plain,
( ( $true = $true )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1584]) ).
thf(1655,plain,
( ( $false = $true )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1585]) ).
thf(1656,plain,
( ( $true = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1586]) ).
thf(1657,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1587]) ).
thf(1658,plain,
( ( $false = $true )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1588]) ).
thf(1659,plain,
( ( $false = $true )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1589]) ).
thf(1660,plain,
( ( $false = $true )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1590]) ).
thf(1661,plain,
( ( $false = $true )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1591]) ).
thf(1662,plain,
( ( $false = $true )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1592]) ).
thf(1663,plain,
( ( $false = $true )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1593]) ).
thf(1664,plain,
( ( $false = $true )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1594]) ).
thf(1665,plain,
( ( $false = $true )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1595]) ).
thf(1666,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1596]) ).
thf(1667,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1597]) ).
thf(1668,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1598]) ).
thf(1669,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1599]) ).
thf(1670,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1600]) ).
thf(1671,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1601]) ).
thf(1672,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1602]) ).
thf(1673,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1603]) ).
thf(1674,plain,
! [SV222: name,SV129: name,SV194: name,SV48: name] :
( ( ( ( SV48 != SV194 )
| ( SV129 != SV222 ) )
= $false )
| ( ( SV48 = SV194 )
= $false )
| ( ( SV129 = SV222 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1605]) ).
thf(1675,plain,
! [SV225: pi,SV134: pi,SV197: late_freeRes,SV57: late_freeRes] :
( ( ( ( SV57 != SV197 )
| ( SV134 != SV225 ) )
= $false )
| ( ( SV57 = SV197 )
= $false )
| ( ( SV134 = SV225 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1608]) ).
thf(1676,plain,
! [SV226: name,SV140: name,SV200: name,SV63: name] :
( ( ( ( SV63 != SV200 )
| ( SV140 != SV226 ) )
= $false )
| ( ( SV63 = SV200 )
= $false )
| ( ( SV140 = SV226 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1610]) ).
thf(1677,plain,
! [SV64: produc1872410278e_name] :
( ( ( SV64
= ( produc1069608854e_name @ ( sK57_SY424 @ SV64 ) @ ( cons_P1213805021e_name @ ( sK63_SY714 @ SV64 ) @ ( cons_P1213805021e_name @ ( sK67_SY722 @ SV64 ) @ ( sK70_SY726 @ SV64 ) ) ) ) )
= $true )
| ( ( SV64
= ( produc1069608854e_name @ ( sK33_SY422 @ SV64 ) @ ( cons_P1213805021e_name @ ( sK38_SY692 @ SV64 ) @ nil_Pr743626285e_name ) ) )
= $true )
| ( ( SV64
= ( produc1069608854e_name @ ( sK7_SY421 @ SV64 ) @ nil_Pr743626285e_name ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1611]) ).
thf(1678,plain,
! [SV143: list_P227219501e_name,SV201: list_P227219501e_name,SV69: list_P227219501e_name > list_P227219501e_name > $o] :
( ( ( ! [SY728: list_P227219501e_name,SY729: produc367475239e_name,SY730: list_P227219501e_name] :
( ~ ( SV69 @ SY728 @ SY730 )
| ( SV69 @ ( cons_P1213805021e_name @ ( sK72_SY444 @ SV201 @ SV143 @ SV69 ) @ SY728 ) @ ( cons_P1213805021e_name @ SY729 @ SY730 ) ) ) )
= $false )
| ( ( SV69 @ SV143 @ SV201 )
= $true )
| ( ( SV69 @ nil_Pr743626285e_name @ ( cons_P1213805021e_name @ ( sK58_SY442 @ SV201 @ SV143 @ SV69 ) @ ( sK64_SY717 @ SV143 @ SV201 @ SV69 ) ) )
= $false )
| ( ( SV69 @ ( cons_P1213805021e_name @ ( sK36_SY440 @ SV201 @ SV143 @ SV69 ) @ ( sK40_SY694 @ SV143 @ SV201 @ SV69 ) ) @ nil_Pr743626285e_name )
= $false )
| ( ( SV69 @ nil_Pr743626285e_name @ nil_Pr743626285e_name )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1612]) ).
thf(1679,plain,
! [SV227: name,SV145: name,SV203: name,SV71: name] :
( ( ( ( SV71 != SV203 )
| ( SV145 != SV227 ) )
= $false )
| ( ( SV71 = SV203 )
= $false )
| ( ( SV145 = SV227 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1614]) ).
thf(1680,plain,
! [SV208: list_P227219501e_name,SV150: list_P227219501e_name,SV77: list_P227219501e_name > list_P227219501e_name > $o] :
( ( ( ~ ( SV77 @ ( sK65_SY718 @ SV150 @ SV208 @ SV77 ) @ ( cons_P1213805021e_name @ ( sK68_SY724 @ SV208 @ SV150 @ SV77 ) @ ( sK71_SY727 @ SV208 @ SV150 @ SV77 ) ) ) )
= $false )
| ( ( SV77 @ SV150 @ SV208 )
= $true )
| ( ( SV77 @ ( sK41_SY469 @ SV208 @ SV150 @ SV77 ) @ nil_Pr743626285e_name )
= $false )
| ( ( SV77 @ nil_Pr743626285e_name @ ( sK19_SY468 @ SV208 @ SV150 @ SV77 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1616]) ).
thf(1681,plain,
! [SV150: list_P227219501e_name,SV208: list_P227219501e_name,SV77: list_P227219501e_name > list_P227219501e_name > $o] :
( ( ( ~ ( SV77 @ ( cons_P1213805021e_name @ ( sK60_SY470 @ SV208 @ SV150 @ SV77 ) @ ( sK65_SY718 @ SV150 @ SV208 @ SV77 ) ) @ ( sK71_SY727 @ SV208 @ SV150 @ SV77 ) )
| ( SV77 @ ( cons_P1213805021e_name @ ( sK60_SY470 @ SV208 @ SV150 @ SV77 ) @ ( sK65_SY718 @ SV150 @ SV208 @ SV77 ) ) @ ( cons_P1213805021e_name @ ( sK68_SY724 @ SV208 @ SV150 @ SV77 ) @ ( sK71_SY727 @ SV208 @ SV150 @ SV77 ) ) ) )
= $false )
| ( ( SV77 @ SV150 @ SV208 )
= $true )
| ( ( SV77 @ ( sK41_SY469 @ SV208 @ SV150 @ SV77 ) @ nil_Pr743626285e_name )
= $false )
| ( ( SV77 @ nil_Pr743626285e_name @ ( sK19_SY468 @ SV208 @ SV150 @ SV77 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1616]) ).
thf(1682,plain,
! [SV230: name,SV155: name,SV212: name,SV82: name] :
( ( ( ( SV82 != SV212 )
| ( SV155 != SV230 ) )
= $false )
| ( ( SV82 = SV212 )
= $false )
| ( ( SV155 = SV230 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1619]) ).
thf(1683,plain,
! [SV239: produc367475239e_name,SV240: list_P227219501e_name,SV84: list_P227219501e_name] :
( ( ( ~ ~ ! [SY731: list_P227219501e_name] :
( SV84
!= ( cons_P1213805021e_name @ ( sK73_SY491 @ SV240 @ SV239 @ SV84 ) @ SY731 ) ) )
= $false )
| ( ( SV84
= ( cons_P1213805021e_name @ SV239 @ SV240 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1622]) ).
thf(1684,plain,
! [SV231: list_P227219501e_name,SV156: list_P227219501e_name,SV213: produc367475239e_name,SV86: produc367475239e_name] :
( ( ( ( SV86 != SV213 )
| ( SV156 != SV231 ) )
= $false )
| ( ( SV86 = SV213 )
= $false )
| ( ( SV156 = SV231 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1624]) ).
thf(1685,plain,
! [SV222: name,SV129: name,SV194: name,SV48: name] :
( ( ( SV48 != SV194 )
= $false )
| ( ( SV48 = SV194 )
= $false )
| ( ( SV129 = SV222 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1674]) ).
thf(1686,plain,
! [SV194: name,SV48: name,SV222: name,SV129: name] :
( ( ( SV129 != SV222 )
= $false )
| ( ( SV48 = SV194 )
= $false )
| ( ( SV129 = SV222 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1674]) ).
thf(1687,plain,
! [SV225: pi,SV134: pi,SV197: late_freeRes,SV57: late_freeRes] :
( ( ( SV57 != SV197 )
= $false )
| ( ( SV57 = SV197 )
= $false )
| ( ( SV134 = SV225 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1675]) ).
thf(1688,plain,
! [SV197: late_freeRes,SV57: late_freeRes,SV225: pi,SV134: pi] :
( ( ( SV134 != SV225 )
= $false )
| ( ( SV57 = SV197 )
= $false )
| ( ( SV134 = SV225 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1675]) ).
thf(1689,plain,
! [SV226: name,SV140: name,SV200: name,SV63: name] :
( ( ( SV63 != SV200 )
= $false )
| ( ( SV63 = SV200 )
= $false )
| ( ( SV140 = SV226 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1676]) ).
thf(1690,plain,
! [SV200: name,SV63: name,SV226: name,SV140: name] :
( ( ( SV140 != SV226 )
= $false )
| ( ( SV63 = SV200 )
= $false )
| ( ( SV140 = SV226 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1676]) ).
thf(1691,plain,
! [SV201: list_P227219501e_name,SV143: list_P227219501e_name,SV69: list_P227219501e_name > list_P227219501e_name > $o] :
( ( ( ! [SY732: produc367475239e_name,SY733: list_P227219501e_name] :
( ~ ( SV69 @ ( sK74_SY728 @ SV143 @ SV201 @ SV69 ) @ SY733 )
| ( SV69 @ ( cons_P1213805021e_name @ ( sK72_SY444 @ SV201 @ SV143 @ SV69 ) @ ( sK74_SY728 @ SV143 @ SV201 @ SV69 ) ) @ ( cons_P1213805021e_name @ SY732 @ SY733 ) ) ) )
= $false )
| ( ( SV69 @ SV143 @ SV201 )
= $true )
| ( ( SV69 @ nil_Pr743626285e_name @ ( cons_P1213805021e_name @ ( sK58_SY442 @ SV201 @ SV143 @ SV69 ) @ ( sK64_SY717 @ SV143 @ SV201 @ SV69 ) ) )
= $false )
| ( ( SV69 @ ( cons_P1213805021e_name @ ( sK36_SY440 @ SV201 @ SV143 @ SV69 ) @ ( sK40_SY694 @ SV143 @ SV201 @ SV69 ) ) @ nil_Pr743626285e_name )
= $false )
| ( ( SV69 @ nil_Pr743626285e_name @ nil_Pr743626285e_name )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1678]) ).
thf(1692,plain,
! [SV227: name,SV145: name,SV203: name,SV71: name] :
( ( ( SV71 != SV203 )
= $false )
| ( ( SV71 = SV203 )
= $false )
| ( ( SV145 = SV227 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1679]) ).
thf(1693,plain,
! [SV203: name,SV71: name,SV227: name,SV145: name] :
( ( ( SV145 != SV227 )
= $false )
| ( ( SV71 = SV203 )
= $false )
| ( ( SV145 = SV227 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1679]) ).
thf(1694,plain,
! [SV208: list_P227219501e_name,SV150: list_P227219501e_name,SV77: list_P227219501e_name > list_P227219501e_name > $o] :
( ( ( SV77 @ ( sK65_SY718 @ SV150 @ SV208 @ SV77 ) @ ( cons_P1213805021e_name @ ( sK68_SY724 @ SV208 @ SV150 @ SV77 ) @ ( sK71_SY727 @ SV208 @ SV150 @ SV77 ) ) )
= $true )
| ( ( SV77 @ SV150 @ SV208 )
= $true )
| ( ( SV77 @ ( sK41_SY469 @ SV208 @ SV150 @ SV77 ) @ nil_Pr743626285e_name )
= $false )
| ( ( SV77 @ nil_Pr743626285e_name @ ( sK19_SY468 @ SV208 @ SV150 @ SV77 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1680]) ).
thf(1695,plain,
! [SV150: list_P227219501e_name,SV208: list_P227219501e_name,SV77: list_P227219501e_name > list_P227219501e_name > $o] :
( ( ( ~ ( SV77 @ ( cons_P1213805021e_name @ ( sK60_SY470 @ SV208 @ SV150 @ SV77 ) @ ( sK65_SY718 @ SV150 @ SV208 @ SV77 ) ) @ ( sK71_SY727 @ SV208 @ SV150 @ SV77 ) ) )
= $false )
| ( ( SV77 @ SV150 @ SV208 )
= $true )
| ( ( SV77 @ ( sK41_SY469 @ SV208 @ SV150 @ SV77 ) @ nil_Pr743626285e_name )
= $false )
| ( ( SV77 @ nil_Pr743626285e_name @ ( sK19_SY468 @ SV208 @ SV150 @ SV77 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1681]) ).
thf(1696,plain,
! [SV150: list_P227219501e_name,SV208: list_P227219501e_name,SV77: list_P227219501e_name > list_P227219501e_name > $o] :
( ( ( SV77 @ ( cons_P1213805021e_name @ ( sK60_SY470 @ SV208 @ SV150 @ SV77 ) @ ( sK65_SY718 @ SV150 @ SV208 @ SV77 ) ) @ ( cons_P1213805021e_name @ ( sK68_SY724 @ SV208 @ SV150 @ SV77 ) @ ( sK71_SY727 @ SV208 @ SV150 @ SV77 ) ) )
= $false )
| ( ( SV77 @ SV150 @ SV208 )
= $true )
| ( ( SV77 @ ( sK41_SY469 @ SV208 @ SV150 @ SV77 ) @ nil_Pr743626285e_name )
= $false )
| ( ( SV77 @ nil_Pr743626285e_name @ ( sK19_SY468 @ SV208 @ SV150 @ SV77 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1681]) ).
thf(1697,plain,
! [SV230: name,SV155: name,SV212: name,SV82: name] :
( ( ( SV82 != SV212 )
= $false )
| ( ( SV82 = SV212 )
= $false )
| ( ( SV155 = SV230 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1682]) ).
thf(1698,plain,
! [SV212: name,SV82: name,SV230: name,SV155: name] :
( ( ( SV155 != SV230 )
= $false )
| ( ( SV82 = SV212 )
= $false )
| ( ( SV155 = SV230 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1682]) ).
thf(1699,plain,
! [SV239: produc367475239e_name,SV240: list_P227219501e_name,SV84: list_P227219501e_name] :
( ( ( ~ ! [SY731: list_P227219501e_name] :
( SV84
!= ( cons_P1213805021e_name @ ( sK73_SY491 @ SV240 @ SV239 @ SV84 ) @ SY731 ) ) )
= $true )
| ( ( SV84
= ( cons_P1213805021e_name @ SV239 @ SV240 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1683]) ).
thf(1700,plain,
! [SV231: list_P227219501e_name,SV156: list_P227219501e_name,SV213: produc367475239e_name,SV86: produc367475239e_name] :
( ( ( SV86 != SV213 )
= $false )
| ( ( SV86 = SV213 )
= $false )
| ( ( SV156 = SV231 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1684]) ).
thf(1701,plain,
! [SV213: produc367475239e_name,SV86: produc367475239e_name,SV231: list_P227219501e_name,SV156: list_P227219501e_name] :
( ( ( SV156 != SV231 )
= $false )
| ( ( SV86 = SV213 )
= $false )
| ( ( SV156 = SV231 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1684]) ).
thf(1702,plain,
! [SV222: name,SV129: name,SV194: name,SV48: name] :
( ( ( SV48 = SV194 )
= $true )
| ( ( SV48 = SV194 )
= $false )
| ( ( SV129 = SV222 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1685]) ).
thf(1703,plain,
! [SV194: name,SV48: name,SV222: name,SV129: name] :
( ( ( SV129 = SV222 )
= $true )
| ( ( SV48 = SV194 )
= $false )
| ( ( SV129 = SV222 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1686]) ).
thf(1704,plain,
! [SV225: pi,SV134: pi,SV197: late_freeRes,SV57: late_freeRes] :
( ( ( SV57 = SV197 )
= $true )
| ( ( SV57 = SV197 )
= $false )
| ( ( SV134 = SV225 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1687]) ).
thf(1705,plain,
! [SV197: late_freeRes,SV57: late_freeRes,SV225: pi,SV134: pi] :
( ( ( SV134 = SV225 )
= $true )
| ( ( SV57 = SV197 )
= $false )
| ( ( SV134 = SV225 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1688]) ).
thf(1706,plain,
! [SV226: name,SV140: name,SV200: name,SV63: name] :
( ( ( SV63 = SV200 )
= $true )
| ( ( SV63 = SV200 )
= $false )
| ( ( SV140 = SV226 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1689]) ).
thf(1707,plain,
! [SV200: name,SV63: name,SV226: name,SV140: name] :
( ( ( SV140 = SV226 )
= $true )
| ( ( SV63 = SV200 )
= $false )
| ( ( SV140 = SV226 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1690]) ).
thf(1708,plain,
! [SV201: list_P227219501e_name,SV143: list_P227219501e_name,SV69: list_P227219501e_name > list_P227219501e_name > $o] :
( ( ( ! [SY734: list_P227219501e_name] :
( ~ ( SV69 @ ( sK74_SY728 @ SV143 @ SV201 @ SV69 ) @ SY734 )
| ( SV69 @ ( cons_P1213805021e_name @ ( sK72_SY444 @ SV201 @ SV143 @ SV69 ) @ ( sK74_SY728 @ SV143 @ SV201 @ SV69 ) ) @ ( cons_P1213805021e_name @ ( sK75_SY732 @ SV201 @ SV143 @ SV69 ) @ SY734 ) ) ) )
= $false )
| ( ( SV69 @ SV143 @ SV201 )
= $true )
| ( ( SV69 @ nil_Pr743626285e_name @ ( cons_P1213805021e_name @ ( sK58_SY442 @ SV201 @ SV143 @ SV69 ) @ ( sK64_SY717 @ SV143 @ SV201 @ SV69 ) ) )
= $false )
| ( ( SV69 @ ( cons_P1213805021e_name @ ( sK36_SY440 @ SV201 @ SV143 @ SV69 ) @ ( sK40_SY694 @ SV143 @ SV201 @ SV69 ) ) @ nil_Pr743626285e_name )
= $false )
| ( ( SV69 @ nil_Pr743626285e_name @ nil_Pr743626285e_name )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1691]) ).
thf(1709,plain,
! [SV227: name,SV145: name,SV203: name,SV71: name] :
( ( ( SV71 = SV203 )
= $true )
| ( ( SV71 = SV203 )
= $false )
| ( ( SV145 = SV227 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1692]) ).
thf(1710,plain,
! [SV203: name,SV71: name,SV227: name,SV145: name] :
( ( ( SV145 = SV227 )
= $true )
| ( ( SV71 = SV203 )
= $false )
| ( ( SV145 = SV227 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1693]) ).
thf(1711,plain,
! [SV150: list_P227219501e_name,SV208: list_P227219501e_name,SV77: list_P227219501e_name > list_P227219501e_name > $o] :
( ( ( SV77 @ ( cons_P1213805021e_name @ ( sK60_SY470 @ SV208 @ SV150 @ SV77 ) @ ( sK65_SY718 @ SV150 @ SV208 @ SV77 ) ) @ ( sK71_SY727 @ SV208 @ SV150 @ SV77 ) )
= $true )
| ( ( SV77 @ SV150 @ SV208 )
= $true )
| ( ( SV77 @ ( sK41_SY469 @ SV208 @ SV150 @ SV77 ) @ nil_Pr743626285e_name )
= $false )
| ( ( SV77 @ nil_Pr743626285e_name @ ( sK19_SY468 @ SV208 @ SV150 @ SV77 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1695]) ).
thf(1712,plain,
! [SV230: name,SV155: name,SV212: name,SV82: name] :
( ( ( SV82 = SV212 )
= $true )
| ( ( SV82 = SV212 )
= $false )
| ( ( SV155 = SV230 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1697]) ).
thf(1713,plain,
! [SV212: name,SV82: name,SV230: name,SV155: name] :
( ( ( SV155 = SV230 )
= $true )
| ( ( SV82 = SV212 )
= $false )
| ( ( SV155 = SV230 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1698]) ).
thf(1714,plain,
! [SV239: produc367475239e_name,SV240: list_P227219501e_name,SV84: list_P227219501e_name] :
( ( ( ! [SY731: list_P227219501e_name] :
( SV84
!= ( cons_P1213805021e_name @ ( sK73_SY491 @ SV240 @ SV239 @ SV84 ) @ SY731 ) ) )
= $false )
| ( ( SV84
= ( cons_P1213805021e_name @ SV239 @ SV240 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1699]) ).
thf(1715,plain,
! [SV231: list_P227219501e_name,SV156: list_P227219501e_name,SV213: produc367475239e_name,SV86: produc367475239e_name] :
( ( ( SV86 = SV213 )
= $true )
| ( ( SV86 = SV213 )
= $false )
| ( ( SV156 = SV231 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1700]) ).
thf(1716,plain,
! [SV213: produc367475239e_name,SV86: produc367475239e_name,SV231: list_P227219501e_name,SV156: list_P227219501e_name] :
( ( ( SV156 = SV231 )
= $true )
| ( ( SV86 = SV213 )
= $false )
| ( ( SV156 = SV231 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1701]) ).
thf(1717,plain,
! [SV201: list_P227219501e_name,SV143: list_P227219501e_name,SV69: list_P227219501e_name > list_P227219501e_name > $o] :
( ( ( ~ ( SV69 @ ( sK74_SY728 @ SV143 @ SV201 @ SV69 ) @ ( sK76_SY734 @ SV201 @ SV143 @ SV69 ) )
| ( SV69 @ ( cons_P1213805021e_name @ ( sK72_SY444 @ SV201 @ SV143 @ SV69 ) @ ( sK74_SY728 @ SV143 @ SV201 @ SV69 ) ) @ ( cons_P1213805021e_name @ ( sK75_SY732 @ SV201 @ SV143 @ SV69 ) @ ( sK76_SY734 @ SV201 @ SV143 @ SV69 ) ) ) )
= $false )
| ( ( SV69 @ SV143 @ SV201 )
= $true )
| ( ( SV69 @ nil_Pr743626285e_name @ ( cons_P1213805021e_name @ ( sK58_SY442 @ SV201 @ SV143 @ SV69 ) @ ( sK64_SY717 @ SV143 @ SV201 @ SV69 ) ) )
= $false )
| ( ( SV69 @ ( cons_P1213805021e_name @ ( sK36_SY440 @ SV201 @ SV143 @ SV69 ) @ ( sK40_SY694 @ SV143 @ SV201 @ SV69 ) ) @ nil_Pr743626285e_name )
= $false )
| ( ( SV69 @ nil_Pr743626285e_name @ nil_Pr743626285e_name )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1708]) ).
thf(1718,plain,
! [SV239: produc367475239e_name,SV240: list_P227219501e_name,SV84: list_P227219501e_name] :
( ( ( SV84
!= ( cons_P1213805021e_name @ ( sK73_SY491 @ SV240 @ SV239 @ SV84 ) @ ( sK77_SY731 @ SV239 @ SV240 @ SV84 ) ) )
= $false )
| ( ( SV84
= ( cons_P1213805021e_name @ SV239 @ SV240 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1714]) ).
thf(1719,plain,
! [SV201: list_P227219501e_name,SV143: list_P227219501e_name,SV69: list_P227219501e_name > list_P227219501e_name > $o] :
( ( ( ~ ( SV69 @ ( sK74_SY728 @ SV143 @ SV201 @ SV69 ) @ ( sK76_SY734 @ SV201 @ SV143 @ SV69 ) ) )
= $false )
| ( ( SV69 @ SV143 @ SV201 )
= $true )
| ( ( SV69 @ nil_Pr743626285e_name @ ( cons_P1213805021e_name @ ( sK58_SY442 @ SV201 @ SV143 @ SV69 ) @ ( sK64_SY717 @ SV143 @ SV201 @ SV69 ) ) )
= $false )
| ( ( SV69 @ ( cons_P1213805021e_name @ ( sK36_SY440 @ SV201 @ SV143 @ SV69 ) @ ( sK40_SY694 @ SV143 @ SV201 @ SV69 ) ) @ nil_Pr743626285e_name )
= $false )
| ( ( SV69 @ nil_Pr743626285e_name @ nil_Pr743626285e_name )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1717]) ).
thf(1720,plain,
! [SV143: list_P227219501e_name,SV201: list_P227219501e_name,SV69: list_P227219501e_name > list_P227219501e_name > $o] :
( ( ( SV69 @ ( cons_P1213805021e_name @ ( sK72_SY444 @ SV201 @ SV143 @ SV69 ) @ ( sK74_SY728 @ SV143 @ SV201 @ SV69 ) ) @ ( cons_P1213805021e_name @ ( sK75_SY732 @ SV201 @ SV143 @ SV69 ) @ ( sK76_SY734 @ SV201 @ SV143 @ SV69 ) ) )
= $false )
| ( ( SV69 @ SV143 @ SV201 )
= $true )
| ( ( SV69 @ nil_Pr743626285e_name @ ( cons_P1213805021e_name @ ( sK58_SY442 @ SV201 @ SV143 @ SV69 ) @ ( sK64_SY717 @ SV143 @ SV201 @ SV69 ) ) )
= $false )
| ( ( SV69 @ ( cons_P1213805021e_name @ ( sK36_SY440 @ SV201 @ SV143 @ SV69 ) @ ( sK40_SY694 @ SV143 @ SV201 @ SV69 ) ) @ nil_Pr743626285e_name )
= $false )
| ( ( SV69 @ nil_Pr743626285e_name @ nil_Pr743626285e_name )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1717]) ).
thf(1721,plain,
! [SV239: produc367475239e_name,SV240: list_P227219501e_name,SV84: list_P227219501e_name] :
( ( ( SV84
= ( cons_P1213805021e_name @ ( sK73_SY491 @ SV240 @ SV239 @ SV84 ) @ ( sK77_SY731 @ SV239 @ SV240 @ SV84 ) ) )
= $true )
| ( ( SV84
= ( cons_P1213805021e_name @ SV239 @ SV240 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1718]) ).
thf(1722,plain,
! [SV201: list_P227219501e_name,SV143: list_P227219501e_name,SV69: list_P227219501e_name > list_P227219501e_name > $o] :
( ( ( SV69 @ ( sK74_SY728 @ SV143 @ SV201 @ SV69 ) @ ( sK76_SY734 @ SV201 @ SV143 @ SV69 ) )
= $true )
| ( ( SV69 @ SV143 @ SV201 )
= $true )
| ( ( SV69 @ nil_Pr743626285e_name @ ( cons_P1213805021e_name @ ( sK58_SY442 @ SV201 @ SV143 @ SV69 ) @ ( sK64_SY717 @ SV143 @ SV201 @ SV69 ) ) )
= $false )
| ( ( SV69 @ ( cons_P1213805021e_name @ ( sK36_SY440 @ SV201 @ SV143 @ SV69 ) @ ( sK40_SY694 @ SV143 @ SV201 @ SV69 ) ) @ nil_Pr743626285e_name )
= $false )
| ( ( SV69 @ nil_Pr743626285e_name @ nil_Pr743626285e_name )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1719]) ).
thf(1723,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[468,1722,1721,1720,1716,1715,1713,1712,1711,1710,1709,1707,1706,1705,1704,1703,1702,1696,1694,1677,1673,1672,1671,1670,1669,1668,1667,1666,1665,1664,1663,1662,1661,1660,1659,1658,1657,1656,1655,1654,1653,1652,1651,1650,1649,1648,1647,1646,1645,1644,1643,1642,1641,1640,1639,1638,1637,1636,1635,1634,1633,1632,1631,1630,1629,1628,1627,1626,1625,1623,1621,1620,1618,1617,1615,1613,1609,1607,1606,1604,1555,1553,1550,1549,1543,1542,1540,1537,1534,1533,1528,1527,1524,1523,1519,1518,1491,1481,1477,1434,1426,1391,1386,1376,1371,1370,1367,1365,1362,1347,1346,1345,1339,1326,1325,1316,1310,1309,1308,1307,1306,1304,1302,1300,1298,1297,1296,1295,1294,1292,1290,1288,1286,1285,1284,1283,1282,1280,1278,1276,1274,1273,1272,1271,1270,1269,1268,1267,1263,1261,1259,1247,1246,1245,1240,1184,1176,1175,1168,1156,1116,1103,1097,1071,1070,1052,1043,1037,1034,1033,1018,1014,1007,1001,988,980,978,974,967,965,912,910,907,904,900,898,895,882,869,862,841,838,837,836,835,834,833,832,831,830,829,828,827,826,825,824,823,822,821,820,819,818,817,816,815,803,755,754,737,736,735,734,733,695,681,680,677,676,674,673,669,659,657,656,655,654,648,647,646,645,644,508,475,474]) ).
thf(1724,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[1723]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP190^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.24 % Computer : n013.cluster.edu
% 0.09/0.24 % Model : x86_64 x86_64
% 0.09/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.24 % Memory : 8046.5625MB
% 0.09/0.24 % OS : Linux 6.8.0-71-generic
% 0.09/0.24 % CPULimit : 300
% 0.09/0.24 % WCLimit : 300
% 0.09/0.24 % DateTime : Tue Oct 6 11:18:52 UTC 2026
% 0.09/0.24 % CPUTime :
% 0.09/0.24 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 63.91/10.98 ..
% 63.91/10.98
% 63.91/10.98 No.of.Axioms: 103
% 63.91/10.98
% 63.91/10.98 Length.of.Defs: 0
% 63.91/10.98
% 63.91/10.98 Contains.Choice.Funs: false
% 63.91/10.98 ..........................................
% 63.91/10.98
% 63.91/10.98 ********************************
% 63.91/10.98 * All subproblems solved! *
% 63.91/10.98 ********************************
% 63.91/10.98 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:103,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:1723,loop_count:0,foatp_calls:1,translation:fof_full)
% 63.91/10.98
% 63.91/10.98 %**** Beginning of derivation protocol ****
% 63.91/10.98 % SZS output start CNFRefutation
% See solution above
% 63.91/11.00
% 63.91/11.00 %**** End of derivation protocol ****
% 63.91/11.00 %**** no. of clauses in derivation: 1467 ****
% 63.91/11.00 %**** clause counter: 1723 ****
% 63.91/11.00
% 63.91/11.00 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:103,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:1723,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------