%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : ITP196^1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n005.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 10:24:47 AM UTC 2026
% Result : Theorem 9.15s 1.77s
% Output : CNFRefutation 9.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 63
% Syntax : Number of formulae : 900 ( 337 unt; 0 typ; 0 def)
% Number of atoms : 5041 (3145 equ; 0 cnn)
% Maximal formula atoms : 5 ( 5 avg)
% Number of connectives : 10735 (1685 ~;1695 |; 9 &;7145 @)
% ( 0 <=>; 201 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 4 avg)
% Number of types : 28 ( 27 usr)
% Number of type conns : 1008 (1008 >; 0 *; 0 +; 0 <<)
% Number of symbols : 238 ( 235 usr; 13 con; 0-5 aty)
% Number of variables : 2905 ( 0 ^;2899 !; 6 ?;2905 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_list_P1001591419y_real,type,
list_P1001591419y_real: $tType ).
thf(tp_list_P657095678y_real,type,
list_P657095678y_real: $tType ).
thf(tp_list_P693436111y_real,type,
list_P693436111y_real: $tType ).
thf(tp_list_P736648811y_real,type,
list_P736648811y_real: $tType ).
thf(tp_list_P991700890y_real,type,
list_P991700890y_real: $tType ).
thf(tp_list_l1245274212y_real,type,
list_l1245274212y_real: $tType ).
thf(tp_list_l343759061y_real,type,
list_l343759061y_real: $tType ).
thf(tp_list_l6097393y_real,type,
list_l6097393y_real: $tType ).
thf(tp_list_list_poly_real,type,
list_list_poly_real: $tType ).
thf(tp_list_nat,type,
list_nat: $tType ).
thf(tp_list_poly_real,type,
list_poly_real: $tType ).
thf(tp_nat,type,
nat: $tType ).
thf(tp_option1330723604y_real,type,
option1330723604y_real: $tType ).
thf(tp_option293660815y_real,type,
option293660815y_real: $tType ).
thf(tp_option988260395y_real,type,
option988260395y_real: $tType ).
thf(tp_option_poly_real,type,
option_poly_real: $tType ).
thf(tp_poly_real,type,
poly_real: $tType ).
thf(tp_produc1060019729y_real,type,
produc1060019729y_real: $tType ).
thf(tp_produc1426596841y_real,type,
produc1426596841y_real: $tType ).
thf(tp_produc1456530199y_real,type,
produc1456530199y_real: $tType ).
thf(tp_produc321349221y_real,type,
produc321349221y_real: $tType ).
thf(tp_produc461822025y_real,type,
produc461822025y_real: $tType ).
thf(tp_produc796638169y_real,type,
produc796638169y_real: $tType ).
thf(tp_set_Pr1405268809y_real,type,
set_Pr1405268809y_real: $tType ).
thf(tp_set_Pr483210409y_real,type,
set_Pr483210409y_real: $tType ).
thf(tp_set_list_poly_real,type,
set_list_poly_real: $tType ).
thf(tp_set_poly_real,type,
set_poly_real: $tType ).
thf(tp_accp_P948088014y_real,type,
accp_P948088014y_real: ( produc1456530199y_real > produc1456530199y_real > $o ) > produc1456530199y_real > $o ).
thf(tp_append527544425y_real,type,
append527544425y_real: list_list_poly_real > list_list_poly_real > list_list_poly_real ).
thf(tp_append_poly_real,type,
append_poly_real: list_poly_real > list_poly_real > list_poly_real ).
thf(tp_bNF_Gr1644259033y_real,type,
bNF_Gr1644259033y_real: set_list_poly_real > list_poly_real > set_poly_real ).
thf(tp_bNF_Gr851617109y_real,type,
bNF_Gr851617109y_real: set_list_poly_real > poly_real > set_list_poly_real ).
thf(tp_bind_P120560694y_real,type,
bind_P120560694y_real: list_P693436111y_real > ( produc461822025y_real > list_poly_real ) > list_poly_real ).
thf(tp_bind_P1861132770y_real,type,
bind_P1861132770y_real: list_P736648811y_real > ( produc321349221y_real > list_list_poly_real ) > list_list_poly_real ).
thf(tp_bind_P755425362y_real,type,
bind_P755425362y_real: list_P736648811y_real > ( produc321349221y_real > list_poly_real ) > list_poly_real ).
thf(tp_bind_l146959617y_real,type,
bind_l146959617y_real: list_list_poly_real > ( list_poly_real > list_poly_real ) > list_poly_real ).
thf(tp_bind_l1810664209y_real,type,
bind_l1810664209y_real: list_list_poly_real > ( list_poly_real > list_list_poly_real ) > list_list_poly_real ).
thf(tp_bind_l429098840y_real,type,
bind_l429098840y_real: list_list_poly_real > ( list_poly_real > list_P736648811y_real ) > list_P736648811y_real ).
thf(tp_bind_p1226679937y_real,type,
bind_p1226679937y_real: list_poly_real > ( poly_real > list_list_poly_real ) > list_list_poly_real ).
thf(tp_bind_p420216945y_real,type,
bind_p420216945y_real: list_poly_real > ( poly_real > list_poly_real ) > list_poly_real ).
thf(tp_bind_p600434664y_real,type,
bind_p600434664y_real: list_poly_real > ( poly_real > list_P736648811y_real ) > list_P736648811y_real ).
thf(tp_bind_p988182092y_real,type,
bind_p988182092y_real: list_poly_real > ( poly_real > list_P693436111y_real ) > list_P693436111y_real ).
thf(tp_butlast_poly_real,type,
butlast_poly_real: list_poly_real > list_poly_real ).
thf(tp_collec1459394516y_real,type,
collec1459394516y_real: ( produc1426596841y_real > $o ) > set_Pr1405268809y_real ).
thf(tp_collec1537941401y_real,type,
collec1537941401y_real: ( list_poly_real > $o ) > set_list_poly_real ).
thf(tp_collec329281332y_real,type,
collec329281332y_real: ( produc461822025y_real > $o ) > set_Pr483210409y_real ).
thf(tp_collect_poly_real,type,
collect_poly_real: ( poly_real > $o ) > set_poly_real ).
thf(tp_concat_poly_real,type,
concat_poly_real: list_list_poly_real > list_poly_real ).
thf(tp_cons_P1027346459y_real,type,
cons_P1027346459y_real: produc321349221y_real > list_P736648811y_real > list_P736648811y_real ).
thf(tp_cons_P1129399039y_real,type,
cons_P1129399039y_real: produc461822025y_real > list_P693436111y_real > list_P693436111y_real ).
thf(tp_cons_l2022919326y_real,type,
cons_l2022919326y_real: list_list_poly_real > list_l1245274212y_real > list_l1245274212y_real ).
thf(tp_cons_l677353093y_real,type,
cons_l677353093y_real: list_P693436111y_real > list_l343759061y_real > list_l343759061y_real ).
thf(tp_cons_l730969377y_real,type,
cons_l730969377y_real: list_P736648811y_real > list_l6097393y_real > list_l6097393y_real ).
thf(tp_cons_list_poly_real,type,
cons_list_poly_real: list_poly_real > list_list_poly_real > list_list_poly_real ).
thf(tp_cons_poly_real,type,
cons_poly_real: poly_real > list_poly_real > list_poly_real ).
thf(tp_enumer1015405230y_real,type,
enumer1015405230y_real: nat > list_P693436111y_real > list_P657095678y_real ).
thf(tp_enumer1123002698y_real,type,
enumer1123002698y_real: nat > list_P736648811y_real > list_P991700890y_real ).
thf(tp_enumer1433313439y_real,type,
enumer1433313439y_real: nat > list_list_poly_real > list_P1001591419y_real ).
thf(tp_enumerate_poly_real,type,
enumerate_poly_real: nat > list_poly_real > list_P736648811y_real ).
thf(tp_foldr_2117681201y_real,type,
foldr_2117681201y_real: ( list_poly_real > list_poly_real > list_poly_real ) > list_list_poly_real > list_poly_real > list_poly_real ).
thf(tp_gen_le1160603377y_real,type,
gen_le1160603377y_real: nat > list_list_poly_real > nat ).
thf(tp_gen_le1524582876y_real,type,
gen_le1524582876y_real: nat > list_P693436111y_real > nat ).
thf(tp_gen_le904455032y_real,type,
gen_le904455032y_real: nat > list_P736648811y_real > nat ).
thf(tp_gen_length_poly_real,type,
gen_length_poly_real: nat > list_poly_real > nat ).
thf(tp_insert_poly_real,type,
insert_poly_real: poly_real > list_poly_real > list_poly_real ).
thf(tp_last_P21901160y_real,type,
last_P21901160y_real: list_P693436111y_real > produc461822025y_real ).
thf(tp_last_poly_real,type,
last_poly_real: list_poly_real > poly_real ).
thf(tp_lenlex_poly_real,type,
lenlex_poly_real: set_Pr483210409y_real > set_Pr1405268809y_real ).
thf(tp_lex_poly_real,type,
lex_poly_real: set_Pr483210409y_real > set_Pr1405268809y_real ).
thf(tp_lexord1053351061y_real,type,
lexord1053351061y_real: ( produc461822025y_real > produc461822025y_real > $o ) > list_P693436111y_real > list_P693436111y_real > $o ).
thf(tp_lexord1324236152y_real,type,
lexord1324236152y_real: ( list_poly_real > list_poly_real > $o ) > list_list_poly_real > list_list_poly_real > $o ).
thf(tp_lexord834705585y_real,type,
lexord834705585y_real: ( produc321349221y_real > produc321349221y_real > $o ) > list_P736648811y_real > list_P736648811y_real > $o ).
thf(tp_lexord_poly_real,type,
lexord_poly_real: set_Pr483210409y_real > set_Pr1405268809y_real ).
thf(tp_lexordp_eq_poly_real,type,
lexordp_eq_poly_real: ( poly_real > poly_real > $o ) > list_poly_real > list_poly_real > $o ).
thf(tp_list_e1312221069y_real,type,
list_e1312221069y_real: ( produc461822025y_real > $o ) > list_P693436111y_real > $o ).
thf(tp_list_e1507538962y_real,type,
list_e1507538962y_real: ( produc461822025y_real > $o ) > list_P693436111y_real > $o ).
thf(tp_list_e1892536494y_real,type,
list_e1892536494y_real: ( produc321349221y_real > $o ) > list_P736648811y_real > $o ).
thf(tp_list_e2093379497y_real,type,
list_e2093379497y_real: ( produc321349221y_real > $o ) > list_P736648811y_real > $o ).
thf(tp_list_e367462459y_real,type,
list_e367462459y_real: ( list_poly_real > $o ) > list_list_poly_real > $o ).
thf(tp_list_e809719936y_real,type,
list_e809719936y_real: ( list_poly_real > $o ) > list_list_poly_real > $o ).
thf(tp_list_ex1_poly_real,type,
list_ex1_poly_real: ( poly_real > $o ) > list_poly_real > $o ).
thf(tp_list_ex_poly_real,type,
list_ex_poly_real: ( poly_real > $o ) > list_poly_real > $o ).
thf(tp_listre1037026976y_real,type,
listre1037026976y_real: ( list_poly_real > produc321349221y_real > $o ) > list_list_poly_real > list_P736648811y_real > $o ).
thf(tp_listre1044472730y_real,type,
listre1044472730y_real: ( produc321349221y_real > poly_real > $o ) > list_P736648811y_real > list_poly_real > $o ).
thf(tp_listre1609905961y_real,type,
listre1609905961y_real: ( poly_real > poly_real > $o ) > list_poly_real > list_poly_real > $o ).
thf(tp_listre1751862142y_real,type,
listre1751862142y_real: ( produc461822025y_real > poly_real > $o ) > list_P693436111y_real > list_poly_real > $o ).
thf(tp_listre1763068361y_real,type,
listre1763068361y_real: ( list_poly_real > list_poly_real > $o ) > list_list_poly_real > list_list_poly_real > $o ).
thf(tp_listre1793073465y_real,type,
listre1793073465y_real: ( poly_real > list_poly_real > $o ) > list_poly_real > list_list_poly_real > $o ).
thf(tp_listre321577258y_real,type,
listre321577258y_real: ( produc321349221y_real > list_poly_real > $o ) > list_P736648811y_real > list_list_poly_real > $o ).
thf(tp_listre471999892y_real,type,
listre471999892y_real: ( poly_real > produc461822025y_real > $o ) > list_poly_real > list_P693436111y_real > $o ).
thf(tp_listre572247515y_real,type,
listre572247515y_real: set_Pr483210409y_real > set_Pr1405268809y_real ).
thf(tp_listre713353145y_real,type,
listre713353145y_real: ( list_poly_real > poly_real > $o ) > list_list_poly_real > list_poly_real > $o ).
thf(tp_listre889482032y_real,type,
listre889482032y_real: ( poly_real > produc321349221y_real > $o ) > list_poly_real > list_P736648811y_real > $o ).
thf(tp_listrel1_poly_real,type,
listrel1_poly_real: set_Pr483210409y_real > set_Pr1405268809y_real ).
thf(tp_map_fi1117002953y_real,type,
map_fi1117002953y_real: ( poly_real > option293660815y_real ) > list_poly_real > list_P693436111y_real ).
thf(tp_map_fi1183202740y_real,type,
map_fi1183202740y_real: ( poly_real > option_poly_real ) > list_poly_real > list_poly_real ).
thf(tp_map_fi1389003359y_real,type,
map_fi1389003359y_real: ( produc321349221y_real > option1330723604y_real ) > list_P736648811y_real > list_list_poly_real ).
thf(tp_map_fi1988340932y_real,type,
map_fi1988340932y_real: ( list_poly_real > option_poly_real ) > list_list_poly_real > list_poly_real ).
thf(tp_map_fi2104453077y_real,type,
map_fi2104453077y_real: ( list_poly_real > option988260395y_real ) > list_list_poly_real > list_P736648811y_real ).
thf(tp_map_fi249381555y_real,type,
map_fi249381555y_real: ( produc461822025y_real > option_poly_real ) > list_P693436111y_real > list_poly_real ).
thf(tp_map_fi357666132y_real,type,
map_fi357666132y_real: ( list_poly_real > option1330723604y_real ) > list_list_poly_real > list_list_poly_real ).
thf(tp_map_fi740944613y_real,type,
map_fi740944613y_real: ( poly_real > option988260395y_real ) > list_poly_real > list_P736648811y_real ).
thf(tp_map_fi895935311y_real,type,
map_fi895935311y_real: ( produc321349221y_real > option_poly_real ) > list_P736648811y_real > list_poly_real ).
thf(tp_map_fi920577604y_real,type,
map_fi920577604y_real: ( poly_real > option1330723604y_real ) > list_poly_real > list_list_poly_real ).
thf(tp_map_po2132607150y_real,type,
map_po2132607150y_real: ( poly_real > poly_real ) > list_poly_real > list_poly_real ).
thf(tp_map_ta1513955567y_real,type,
map_ta1513955567y_real: ( poly_real > list_poly_real ) > list_poly_real > list_list_poly_real > list_list_poly_real ).
thf(tp_map_ta1674185578y_real,type,
map_ta1674185578y_real: ( list_poly_real > produc321349221y_real ) > list_list_poly_real > list_P736648811y_real > list_P736648811y_real ).
thf(tp_map_ta1919289823y_real,type,
map_ta1919289823y_real: ( poly_real > poly_real ) > list_poly_real > list_poly_real > list_poly_real ).
thf(tp_map_ta316995199y_real,type,
map_ta316995199y_real: ( list_poly_real > list_poly_real ) > list_list_poly_real > list_list_poly_real > list_list_poly_real ).
thf(tp_map_ta434235247y_real,type,
map_ta434235247y_real: ( list_poly_real > poly_real ) > list_list_poly_real > list_poly_real > list_poly_real ).
thf(tp_map_ta53312584y_real,type,
map_ta53312584y_real: ( produc461822025y_real > poly_real ) > list_P693436111y_real > list_poly_real > list_poly_real ).
thf(tp_map_ta632757498y_real,type,
map_ta632757498y_real: ( poly_real > produc321349221y_real ) > list_poly_real > list_P736648811y_real > list_P736648811y_real ).
thf(tp_map_ta787748196y_real,type,
map_ta787748196y_real: ( produc321349221y_real > poly_real ) > list_P736648811y_real > list_poly_real > list_poly_real ).
thf(tp_map_ta920933982y_real,type,
map_ta920933982y_real: ( poly_real > produc461822025y_real ) > list_poly_real > list_P693436111y_real > list_P693436111y_real ).
thf(tp_map_ta954657966y_real,type,
map_ta954657966y_real: produc1456530199y_real > produc1456530199y_real > $o ).
thf(tp_map_ta958735860y_real,type,
map_ta958735860y_real: ( produc321349221y_real > list_poly_real ) > list_P736648811y_real > list_list_poly_real > list_list_poly_real ).
thf(tp_maps_P116184344y_real,type,
maps_P116184344y_real: ( produc321349221y_real > list_poly_real ) > list_P736648811y_real > list_poly_real ).
thf(tp_maps_P1366845948y_real,type,
maps_P1366845948y_real: ( produc461822025y_real > list_poly_real ) > list_P693436111y_real > list_poly_real ).
thf(tp_maps_P54557608y_real,type,
maps_P54557608y_real: ( produc321349221y_real > list_list_poly_real ) > list_P736648811y_real > list_list_poly_real ).
thf(tp_maps_l337560251y_real,type,
maps_l337560251y_real: ( list_poly_real > list_poly_real ) > list_list_poly_real > list_poly_real ).
thf(tp_maps_l502643659y_real,type,
maps_l502643659y_real: ( list_poly_real > list_list_poly_real ) > list_list_poly_real > list_list_poly_real ).
thf(tp_maps_l770007326y_real,type,
maps_l770007326y_real: ( list_poly_real > list_P736648811y_real ) > list_list_poly_real > list_P736648811y_real ).
thf(tp_maps_p1417280571y_real,type,
maps_p1417280571y_real: ( poly_real > list_list_poly_real ) > list_poly_real > list_list_poly_real ).
thf(tp_maps_p2108677294y_real,type,
maps_p2108677294y_real: ( poly_real > list_P736648811y_real ) > list_poly_real > list_P736648811y_real ).
thf(tp_maps_p86983698y_real,type,
maps_p86983698y_real: ( poly_real > list_P693436111y_real ) > list_poly_real > list_P693436111y_real ).
thf(tp_maps_p961674027y_real,type,
maps_p961674027y_real: ( poly_real > list_poly_real ) > list_poly_real > list_poly_real ).
thf(tp_member1782690048y_real,type,
member1782690048y_real: list_P736648811y_real > produc321349221y_real > $o ).
thf(tp_member1784523250y_real,type,
member1784523250y_real: produc461822025y_real > set_Pr483210409y_real > $o ).
thf(tp_member1829603177y_real,type,
member1829603177y_real: list_list_poly_real > list_poly_real > $o ).
thf(tp_member202023780y_real,type,
member202023780y_real: list_P693436111y_real > produc461822025y_real > $o ).
thf(tp_member403334290y_real,type,
member403334290y_real: produc1426596841y_real > set_Pr1405268809y_real > $o ).
thf(tp_member708095579y_real,type,
member708095579y_real: list_poly_real > set_list_poly_real > $o ).
thf(tp_member_poly_real,type,
member_poly_real: list_poly_real > poly_real > $o ).
thf(tp_member_poly_real2,type,
member_poly_real2: poly_real > set_poly_real > $o ).
thf(tp_nil_Pr1161137915y_real,type,
nil_Pr1161137915y_real: list_P1001591419y_real ).
thf(tp_nil_Pr1207979855y_real,type,
nil_Pr1207979855y_real: list_P693436111y_real ).
thf(tp_nil_Pr1492526187y_real,type,
nil_Pr1492526187y_real: list_P736648811y_real ).
thf(tp_nil_Pr2056488424y_real,type,
nil_Pr2056488424y_real: list_P657095678y_real ).
thf(tp_nil_Pr570652676y_real,type,
nil_Pr570652676y_real: list_P991700890y_real ).
thf(tp_nil_li1299462869y_real,type,
nil_li1299462869y_real: list_l343759061y_real ).
thf(tp_nil_li2088348750y_real,type,
nil_li2088348750y_real: list_l1245274212y_real ).
thf(tp_nil_li579690865y_real,type,
nil_li579690865y_real: list_l6097393y_real ).
thf(tp_nil_list_poly_real,type,
nil_list_poly_real: list_list_poly_real ).
thf(tp_nil_nat,type,
nil_nat: list_nat ).
thf(tp_nil_poly_real,type,
nil_poly_real: list_poly_real ).
thf(tp_null_P1782853975y_real,type,
null_P1782853975y_real: list_P693436111y_real > $o ).
thf(tp_null_P89569907y_real,type,
null_P89569907y_real: list_P736648811y_real > $o ).
thf(tp_null_list_poly_real,type,
null_list_poly_real: list_list_poly_real > $o ).
thf(tp_null_poly_real,type,
null_poly_real: list_poly_real > $o ).
thf(tp_ord_le1233681790y_real,type,
ord_le1233681790y_real: list_poly_real > list_poly_real > $o ).
thf(tp_ord_less_nat,type,
ord_less_nat: nat > nat > $o ).
thf(tp_plus_c288199817y_real,type,
plus_c288199817y_real: list_poly_real > list_poly_real > list_poly_real ).
thf(tp_produc1000427809y_real,type,
produc1000427809y_real: list_poly_real > list_poly_real > produc1426596841y_real ).
thf(tp_produc1345584779y_real,type,
produc1345584779y_real: ( poly_real > poly_real > $o ) > list_poly_real > produc1060019729y_real ).
thf(tp_produc1360353227y_real,type,
produc1360353227y_real: list_nat > list_poly_real > list_P736648811y_real ).
thf(tp_produc1733309743y_real,type,
produc1733309743y_real: list_poly_real > list_poly_real > list_P693436111y_real ).
thf(tp_produc1867601537y_real,type,
produc1867601537y_real: poly_real > poly_real > produc461822025y_real ).
thf(tp_produc2087464649y_real,type,
produc2087464649y_real: ( poly_real > poly_real ) > produc1426596841y_real > produc1456530199y_real ).
thf(tp_produc404352541y_real,type,
produc404352541y_real: nat > poly_real > produc321349221y_real ).
thf(tp_produc490255505y_real,type,
produc490255505y_real: poly_real > list_poly_real > produc796638169y_real ).
thf(tp_produc523415045y_real,type,
produc523415045y_real: list_list_poly_real > list_list_poly_real ).
thf(tp_rotate1_poly_real,type,
rotate1_poly_real: list_poly_real > list_poly_real ).
thf(tp_rotate623875384y_real,type,
rotate623875384y_real: list_P736648811y_real > list_P736648811y_real ).
thf(tp_rotate717473073y_real,type,
rotate717473073y_real: list_list_poly_real > list_list_poly_real ).
thf(tp_rotate867081116y_real,type,
rotate867081116y_real: list_P693436111y_real > list_P693436111y_real ).
thf(tp_rotate_poly_real,type,
rotate_poly_real: nat > list_poly_real > list_poly_real ).
thf(tp_sK10_SY440,type,
sK10_SY440: list_poly_real > ( list_poly_real > $o ) > list_poly_real ).
thf(tp_sK11_SY280,type,
sK11_SY280: list_poly_real > ( poly_real > poly_real > $o ) > ( ( poly_real > poly_real > $o ) > list_poly_real > $o ) > poly_real > poly_real > $o ).
thf(tp_sK12_SY289,type,
sK12_SY289: list_poly_real > list_poly_real > ( list_poly_real > list_poly_real > $o ) > list_poly_real ).
thf(tp_sK13_SY198,type,
sK13_SY198: list_poly_real > ( list_poly_real > $o ) > poly_real ).
thf(tp_sK14_SY443,type,
sK14_SY443: list_poly_real > list_poly_real ).
thf(tp_sK15_SY444,type,
sK15_SY444: list_poly_real > list_poly_real > ( list_poly_real > list_poly_real > $o ) > list_poly_real ).
thf(tp_sK16_SY246,type,
sK16_SY246: list_poly_real > ( list_poly_real > $o ) > poly_real ).
thf(tp_sK17_SY251,type,
sK17_SY251: list_poly_real > poly_real ).
thf(tp_sK18_SY447,type,
sK18_SY447: list_poly_real > list_poly_real ).
thf(tp_sK19_SY258,type,
sK19_SY258: list_poly_real > ( list_poly_real > $o ) > poly_real ).
thf(tp_sK1_SY261,type,
sK1_SY261: list_poly_real > poly_real ).
thf(tp_sK20_SY294,type,
sK20_SY294: list_poly_real > ( list_poly_real > $o ) > poly_real ).
thf(tp_sK21_SY299,type,
sK21_SY299: list_poly_real > list_poly_real > ( poly_real > poly_real ) > ( ( poly_real > poly_real ) > list_poly_real > list_poly_real > $o ) > poly_real > poly_real ).
thf(tp_sK22_SY215,type,
sK22_SY215: list_poly_real > list_poly_real > ( list_poly_real > list_poly_real > $o ) > poly_real ).
thf(tp_sK23_SY451,type,
sK23_SY451: list_poly_real > list_poly_real > ( list_poly_real > list_poly_real > $o ) > poly_real ).
thf(tp_sK24_SY338,type,
sK24_SY338: list_poly_real > ( list_poly_real > $o ) > poly_real ).
thf(tp_sK25_SY453,type,
sK25_SY453: list_poly_real > ( list_poly_real > $o ) > list_poly_real ).
thf(tp_sK26_SY454,type,
sK26_SY454: list_poly_real > ( list_poly_real > $o ) > list_poly_real ).
thf(tp_sK27_SY455,type,
sK27_SY455: ( poly_real > poly_real ) > list_poly_real > list_poly_real > ( ( poly_real > poly_real ) > list_poly_real > list_poly_real > $o ) > list_poly_real ).
thf(tp_sK28_SY208,type,
sK28_SY208: list_poly_real > list_poly_real > ( list_poly_real > list_poly_real > $o ) > list_poly_real ).
thf(tp_sK29_SY456,type,
sK29_SY456: list_poly_real > list_poly_real > ( list_poly_real > list_poly_real > $o ) > list_poly_real ).
thf(tp_sK2_SY433,type,
sK2_SY433: list_poly_real > list_poly_real ).
thf(tp_sK30_SY226,type,
sK30_SY226: list_poly_real > ( poly_real > poly_real > $o ) > ( ( poly_real > poly_real > $o ) > list_poly_real > $o ) > poly_real > poly_real > $o ).
thf(tp_sK31_SY457,type,
sK31_SY457: list_poly_real > list_poly_real > ( list_poly_real > list_poly_real > $o ) > list_poly_real ).
thf(tp_sK32_SY266,type,
sK32_SY266: list_poly_real > list_poly_real > ( list_poly_real > list_poly_real > $o ) > poly_real ).
thf(tp_sK33_SY281,type,
sK33_SY281: list_poly_real > ( poly_real > poly_real > $o ) > ( ( poly_real > poly_real > $o ) > list_poly_real > $o ) > poly_real > poly_real > $o ).
thf(tp_sK34_SY290,type,
sK34_SY290: list_poly_real > list_poly_real > ( list_poly_real > list_poly_real > $o ) > poly_real ).
thf(tp_sK35_SY199,type,
sK35_SY199: list_poly_real > ( list_poly_real > $o ) > poly_real ).
thf(tp_sK36_SY458,type,
sK36_SY458: ( poly_real > poly_real > $o ) > list_poly_real > ( ( poly_real > poly_real > $o ) > list_poly_real > $o ) > poly_real ).
thf(tp_sK37_SY247,type,
sK37_SY247: list_poly_real > ( list_poly_real > $o ) > poly_real ).
thf(tp_sK38_SY252,type,
sK38_SY252: list_poly_real > poly_real ).
thf(tp_sK39_SY460,type,
sK39_SY460: list_poly_real > list_poly_real > ( list_poly_real > list_poly_real > $o ) > list_poly_real ).
thf(tp_sK3_SY273,type,
sK3_SY273: list_poly_real > ( list_poly_real > $o ) > poly_real ).
thf(tp_sK40_SY462,type,
sK40_SY462: ( poly_real > poly_real > $o ) > list_poly_real > ( ( poly_real > poly_real > $o ) > list_poly_real > $o ) > poly_real ).
thf(tp_sK41_SY463,type,
sK41_SY463: list_poly_real > list_poly_real > ( list_poly_real > list_poly_real > $o ) > list_poly_real ).
thf(tp_sK42_SY194,type,
sK42_SY194: list_poly_real > poly_real ).
thf(tp_sK43_SY465,type,
sK43_SY465: ( list_poly_real > $o ) > list_poly_real > poly_real ).
thf(tp_sK44_SY467,type,
sK44_SY467: ( poly_real > poly_real > $o ) > list_poly_real > ( ( poly_real > poly_real > $o ) > list_poly_real > $o ) > list_poly_real ).
thf(tp_sK45_SY339,type,
sK45_SY339: list_poly_real > ( list_poly_real > $o ) > poly_real ).
thf(tp_sK46_SY468,type,
sK46_SY468: list_poly_real > ( list_poly_real > $o ) > poly_real ).
thf(tp_sK47_SY470,type,
sK47_SY470: list_poly_real > poly_real ).
thf(tp_sK48_SY472,type,
sK48_SY472: list_poly_real > list_poly_real > ( list_poly_real > list_poly_real > $o ) > list_poly_real ).
thf(tp_sK49_SY301,type,
sK49_SY301: list_poly_real > list_poly_real > ( poly_real > poly_real ) > ( ( poly_real > poly_real ) > list_poly_real > list_poly_real > $o ) > poly_real > poly_real ).
thf(tp_sK4_SY203,type,
sK4_SY203: list_poly_real > poly_real ).
thf(tp_sK50_SY474,type,
sK50_SY474: ( list_poly_real > $o ) > list_poly_real > list_poly_real ).
thf(tp_sK51_SY209,type,
sK51_SY209: list_poly_real > list_poly_real > ( list_poly_real > list_poly_real > $o ) > poly_real ).
thf(tp_sK52_SY217,type,
sK52_SY217: list_poly_real > list_poly_real > ( list_poly_real > list_poly_real > $o ) > poly_real ).
thf(tp_sK53_SY475,type,
sK53_SY475: list_poly_real > ( list_poly_real > $o ) > list_poly_real ).
thf(tp_sK54_SY476,type,
sK54_SY476: list_poly_real > ( list_poly_real > $o ) > list_poly_real ).
thf(tp_sK55_SY477,type,
sK55_SY477: list_poly_real > list_poly_real ).
thf(tp_sK56_SY478,type,
sK56_SY478: ( poly_real > poly_real ) > list_poly_real > list_poly_real > ( ( poly_real > poly_real ) > list_poly_real > list_poly_real > $o ) > poly_real ).
thf(tp_sK57_SY481,type,
sK57_SY481: list_poly_real > list_poly_real > ( list_poly_real > list_poly_real > $o ) > list_poly_real ).
thf(tp_sK58_SY484,type,
sK58_SY484: list_poly_real > list_poly_real > ( list_poly_real > list_poly_real > $o ) > list_poly_real ).
thf(tp_sK59_SY235,type,
sK59_SY235: list_poly_real > list_poly_real > ( list_poly_real > list_poly_real > $o ) > list_poly_real ).
thf(tp_sK5_SY207,type,
sK5_SY207: list_poly_real > list_poly_real > ( list_poly_real > list_poly_real > $o ) > list_poly_real ).
thf(tp_sK60_SY268,type,
sK60_SY268: list_poly_real > list_poly_real > ( list_poly_real > list_poly_real > $o ) > poly_real ).
thf(tp_sK61_SY283,type,
sK61_SY283: list_poly_real > ( poly_real > poly_real > $o ) > ( ( poly_real > poly_real > $o ) > list_poly_real > $o ) > poly_real > poly_real > $o ).
thf(tp_sK62_SY485,type,
sK62_SY485: ( poly_real > poly_real ) > list_poly_real > list_poly_real > ( ( poly_real > poly_real ) > list_poly_real > list_poly_real > $o ) > list_poly_real ).
thf(tp_sK63_SY473,type,
sK63_SY473: list_poly_real > list_poly_real ).
thf(tp_sK64_SY487,type,
sK64_SY487: list_poly_real > list_poly_real > ( list_poly_real > list_poly_real > $o ) > poly_real ).
thf(tp_sK65_SY235,type,
sK65_SY235: list_poly_real > list_poly_real > ( list_poly_real > list_poly_real > $o ) > list_poly_real ).
thf(tp_sK66_SY489,type,
sK66_SY489: list_poly_real > list_poly_real > ( list_poly_real > list_poly_real > $o ) > list_poly_real ).
thf(tp_sK67_SY492,type,
sK67_SY492: ( poly_real > poly_real > $o ) > list_poly_real > ( ( poly_real > poly_real > $o ) > list_poly_real > $o ) > poly_real ).
thf(tp_sK68_SY495,type,
sK68_SY495: ( poly_real > poly_real ) > list_poly_real > list_poly_real > ( ( poly_real > poly_real ) > list_poly_real > list_poly_real > $o ) > list_poly_real ).
thf(tp_sK69_SY496,type,
sK69_SY496: list_poly_real > list_poly_real > ( list_poly_real > list_poly_real > $o ) > list_poly_real ).
thf(tp_sK6_SY225,type,
sK6_SY225: list_poly_real > ( poly_real > poly_real > $o ) > ( ( poly_real > poly_real > $o ) > list_poly_real > $o ) > poly_real > poly_real > $o ).
thf(tp_sK70_SY497,type,
sK70_SY497: list_poly_real > list_poly_real > ( list_poly_real > list_poly_real > $o ) > poly_real ).
thf(tp_sK71_SY499,type,
sK71_SY499: ( poly_real > poly_real > $o ) > list_poly_real > ( ( poly_real > poly_real > $o ) > list_poly_real > $o ) > poly_real ).
thf(tp_sK72_SY194,type,
sK72_SY194: list_poly_real > poly_real > list_poly_real > poly_real ).
thf(tp_sK73_SY219,type,
sK73_SY219: list_poly_real > list_poly_real > ( list_poly_real > list_poly_real > $o ) > poly_real ).
thf(tp_sK74_SY236,type,
sK74_SY236: list_poly_real > list_poly_real > ( list_poly_real > list_poly_real > $o ) > poly_real ).
thf(tp_sK75_SY501,type,
sK75_SY501: list_poly_real > list_poly_real > ( list_poly_real > list_poly_real > $o ) > list_poly_real ).
thf(tp_sK76_SY502,type,
sK76_SY502: ( poly_real > poly_real > $o ) > list_poly_real > ( ( poly_real > poly_real > $o ) > list_poly_real > $o ) > list_poly_real ).
thf(tp_sK77_SY504,type,
sK77_SY504: list_poly_real > list_poly_real > ( list_poly_real > list_poly_real > $o ) > list_poly_real ).
thf(tp_sK78_SY236,type,
sK78_SY236: list_poly_real > list_poly_real > ( list_poly_real > list_poly_real > $o ) > poly_real ).
thf(tp_sK79_SY507,type,
sK79_SY507: list_poly_real > list_poly_real > ( list_poly_real > list_poly_real > $o ) > list_poly_real ).
thf(tp_sK7_SY231,type,
sK7_SY231: list_poly_real > list_poly_real > ( list_poly_real > list_poly_real > $o ) > poly_real ).
thf(tp_sK80_SY508,type,
sK80_SY508: list_poly_real > list_poly_real > ( list_poly_real > list_poly_real > $o ) > poly_real ).
thf(tp_sK81_SY510,type,
sK81_SY510: list_poly_real > list_poly_real > ( list_poly_real > list_poly_real > $o ) > list_poly_real ).
thf(tp_sK82_SY503,type,
sK82_SY503: poly_real > list_poly_real > list_poly_real > list_poly_real ).
thf(tp_sK83_SY511,type,
sK83_SY511: list_poly_real > list_poly_real > ( list_poly_real > list_poly_real > $o ) > list_poly_real ).
thf(tp_sK8_SY255,type,
sK8_SY255: list_poly_real > poly_real ).
thf(tp_sK9_SY265,type,
sK9_SY265: list_poly_real > list_poly_real > ( list_poly_real > list_poly_real > $o ) > list_poly_real ).
thf(tp_size_s259235672y_real,type,
size_s259235672y_real: list_poly_real > nat ).
thf(tp_splice1321784098y_real,type,
splice1321784098y_real: list_P693436111y_real > list_P693436111y_real > list_P693436111y_real ).
thf(tp_splice1383748542y_real,type,
splice1383748542y_real: list_P736648811y_real > list_P736648811y_real > list_P736648811y_real ).
thf(tp_splice2080530731y_real,type,
splice2080530731y_real: list_list_poly_real > list_list_poly_real > list_list_poly_real ).
thf(tp_splice_poly_real,type,
splice_poly_real: list_poly_real > list_poly_real > list_poly_real ).
thf(tp_sturm_1664866327rm_seq,type,
sturm_1664866327rm_seq: list_poly_real > poly_real > $o ).
thf(tp_sturm_1683633594axioms,type,
sturm_1683633594axioms: list_poly_real > poly_real > $o ).
thf(tp_sturm_891428828rm_seq,type,
sturm_891428828rm_seq: list_poly_real > $o ).
thf(tp_subseqs_poly_real,type,
subseqs_poly_real: list_poly_real > list_list_poly_real ).
thf(tp_suc,type,
suc: nat > nat ).
thf(tp_times_times_nat,type,
times_times_nat: nat > nat > nat ).
thf(tp_zip_nat_poly_real,type,
zip_nat_poly_real: list_nat > list_poly_real > list_P736648811y_real ).
thf(tp_zip_po657915297y_real,type,
zip_po657915297y_real: list_poly_real > list_poly_real > list_P693436111y_real ).
thf(1,axiom,
! [F: poly_real > poly_real,Xs: list_poly_real] :
( ( nil_poly_real
= ( map_po2132607150y_real @ F @ Xs ) )
= ( Xs = nil_poly_real ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_348_Nil__is__map__conv) ).
thf(2,axiom,
! [F: poly_real > poly_real,Xs: list_poly_real] :
( ( ( map_po2132607150y_real @ F @ Xs )
= nil_poly_real )
= ( Xs = nil_poly_real ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_347_map__is__Nil__conv) ).
thf(3,axiom,
! [F: poly_real > poly_real,A3: list_poly_real] :
( ( ( map_po2132607150y_real @ F @ A3 )
= nil_poly_real )
= ( A3 = nil_poly_real ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_346_list_Omap__disc__iff) ).
thf(58,axiom,
! [N: nat,Xs: list_poly_real] :
( ( ( rotate_poly_real @ N @ Xs )
= nil_poly_real )
= ( Xs = nil_poly_real ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_291_rotate__is__Nil__conv) ).
thf(66,axiom,
! [Xs: list_poly_real] :
( ( plus_c288199817y_real @ Xs @ nil_poly_real )
= Xs ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_283_plus__coeffs_Osimps_I1_J) ).
thf(72,axiom,
( ( butlast_poly_real @ nil_poly_real )
= nil_poly_real ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_277_butlast_Osimps_I1_J) ).
thf(95,axiom,
! [Ys: list_poly_real] : ( ord_le1233681790y_real @ nil_poly_real @ Ys ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_254_lexordp__eq_ONil) ).
thf(96,axiom,
! [A3: list_poly_real] :
( ( append_poly_real @ nil_poly_real @ A3 )
= A3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_253_append_Oleft__neutral) ).
thf(97,axiom,
! [Ys: list_poly_real] :
( ( append_poly_real @ nil_poly_real @ Ys )
= Ys ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_252_append__Nil) ).
thf(98,axiom,
! [Xs: list_poly_real,Ys: list_poly_real] :
( ( Xs = Ys )
=> ( Xs
= ( append_poly_real @ nil_poly_real @ Ys ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_251_eq__Nil__appendI) ).
thf(102,axiom,
! [Ys: list_poly_real] : ( ord_le1233681790y_real @ nil_poly_real @ Ys ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_247_lexordp__eq__simps_I1_J) ).
thf(103,axiom,
! [Xs: list_poly_real] :
( ( ord_le1233681790y_real @ Xs @ nil_poly_real )
= ( Xs = nil_poly_real ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_246_lexordp__eq__simps_I2_J) ).
thf(104,axiom,
! [A3: list_poly_real] :
( ( append_poly_real @ A3 @ nil_poly_real )
= A3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_245_append_Oright__neutral) ).
thf(105,axiom,
! [Xs: list_poly_real,Ys: list_poly_real] :
( ( ( append_poly_real @ Xs @ Ys )
= nil_poly_real )
= ( ( Xs = nil_poly_real )
& ( Ys = nil_poly_real ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_244_append__is__Nil__conv) ).
thf(106,axiom,
! [Xs: list_poly_real,Ys: list_poly_real] :
( ( nil_poly_real
= ( append_poly_real @ Xs @ Ys ) )
= ( ( Xs = nil_poly_real )
& ( Ys = nil_poly_real ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_243_Nil__is__append__conv) ).
thf(107,axiom,
! [Ys: list_poly_real,Xs: list_poly_real] :
( ( Ys
= ( append_poly_real @ Xs @ Ys ) )
= ( Xs = nil_poly_real ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_242_self__append__conv2) ).
thf(108,axiom,
! [Xs: list_poly_real,Ys: list_poly_real] :
( ( ( append_poly_real @ Xs @ Ys )
= Ys )
= ( Xs = nil_poly_real ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_241_append__self__conv2) ).
thf(109,axiom,
! [Xs: list_poly_real,Ys: list_poly_real] :
( ( Xs
= ( append_poly_real @ Xs @ Ys ) )
= ( Ys = nil_poly_real ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_240_self__append__conv) ).
thf(110,axiom,
! [Xs: list_poly_real,Ys: list_poly_real] :
( ( ( append_poly_real @ Xs @ Ys )
= Xs )
= ( Ys = nil_poly_real ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_239_append__self__conv) ).
thf(111,axiom,
! [Xs: list_poly_real] :
( ( append_poly_real @ Xs @ nil_poly_real )
= Xs ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_238_append__Nil2) ).
thf(117,axiom,
! [P3: list_poly_real > list_poly_real > $o,A0: list_poly_real,A12: list_poly_real] :
( ! [Xs2: list_poly_real] : ( P3 @ Xs2 @ nil_poly_real )
=> ( ! [V: poly_real,Va: list_poly_real] : ( P3 @ nil_poly_real @ ( cons_poly_real @ V @ Va ) )
=> ( ! [X3: poly_real,Xs2: list_poly_real,Y2: poly_real,Ys2: list_poly_real] :
( ( P3 @ Xs2 @ Ys2 )
=> ( P3 @ ( cons_poly_real @ X3 @ Xs2 ) @ ( cons_poly_real @ Y2 @ Ys2 ) ) )
=> ( P3 @ A0 @ A12 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_232_plus__coeffs_Oinduct) ).
thf(118,axiom,
! [P3: list_poly_real > list_poly_real > $o,A0: list_poly_real,A12: list_poly_real] :
( ! [X3: poly_real,Xs2: list_poly_real,Y2: poly_real,Ys2: list_poly_real] :
( ( P3 @ Xs2 @ Ys2 )
=> ( P3 @ ( cons_poly_real @ X3 @ Xs2 ) @ ( cons_poly_real @ Y2 @ Ys2 ) ) )
=> ( ! [Xs2: list_poly_real] : ( P3 @ Xs2 @ nil_poly_real )
=> ( ! [Y2: poly_real,Ys2: list_poly_real] : ( P3 @ nil_poly_real @ ( cons_poly_real @ Y2 @ Ys2 ) )
=> ( P3 @ A0 @ A12 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_231_minus__poly__rev__list_Oinduct) ).
thf(128,axiom,
! [X21: poly_real,X22: list_poly_real] :
( nil_poly_real
!= ( cons_poly_real @ X21 @ X22 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_221_list_Odistinct_I1_J) ).
thf(129,axiom,
! [List: list_poly_real,X21: poly_real,X22: list_poly_real] :
( ( List
= ( cons_poly_real @ X21 @ X22 ) )
=> ( List != nil_poly_real ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_220_list_OdiscI) ).
thf(130,axiom,
! [Y: list_poly_real] :
( ( Y != nil_poly_real )
=> ~ ! [X213: poly_real,X223: list_poly_real] :
( Y
!= ( cons_poly_real @ X213 @ X223 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_219_list_Oexhaust) ).
thf(131,axiom,
! [P3: list_poly_real > $o,List: list_poly_real] :
( ( P3 @ nil_poly_real )
=> ( ! [X12: poly_real,X23: list_poly_real] :
( ( P3 @ X23 )
=> ( P3 @ ( cons_poly_real @ X12 @ X23 ) ) )
=> ( P3 @ List ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_218_list_Oinducts) ).
thf(132,axiom,
! [Xs: list_poly_real] :
( ( Xs != nil_poly_real )
= ( ? [Y3: poly_real,Ys3: list_poly_real] :
( Xs
= ( cons_poly_real @ Y3 @ Ys3 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_217_neq__Nil__conv) ).
thf(133,axiom,
! [P3: list_poly_real > list_poly_real > $o,Xs: list_poly_real,Ys: list_poly_real] :
( ( P3 @ nil_poly_real @ nil_poly_real )
=> ( ! [X3: poly_real,Xs2: list_poly_real] : ( P3 @ ( cons_poly_real @ X3 @ Xs2 ) @ nil_poly_real )
=> ( ! [Y2: poly_real,Ys2: list_poly_real] : ( P3 @ nil_poly_real @ ( cons_poly_real @ Y2 @ Ys2 ) )
=> ( ! [X3: poly_real,Xs2: list_poly_real,Y2: poly_real,Ys2: list_poly_real] :
( ( P3 @ Xs2 @ Ys2 )
=> ( P3 @ ( cons_poly_real @ X3 @ Xs2 ) @ ( cons_poly_real @ Y2 @ Ys2 ) ) )
=> ( P3 @ Xs @ Ys ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_216_list__induct2_H) ).
thf(134,axiom,
! [P3: list_poly_real > list_poly_real > $o,A0: list_poly_real,A12: list_poly_real] :
( ! [X_1: list_poly_real] : ( P3 @ nil_poly_real @ X_1 )
=> ( ! [X3: poly_real,Xs2: list_poly_real,Ys2: list_poly_real] :
( ( P3 @ Ys2 @ Xs2 )
=> ( P3 @ ( cons_poly_real @ X3 @ Xs2 ) @ Ys2 ) )
=> ( P3 @ A0 @ A12 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_215_splice_Oinduct) ).
thf(135,axiom,
! [P3: list_poly_real > $o,Xs: list_poly_real] :
( ( P3 @ nil_poly_real )
=> ( ! [X3: poly_real] : ( P3 @ ( cons_poly_real @ X3 @ nil_poly_real ) )
=> ( ! [X3: poly_real,Y2: poly_real,Zs: list_poly_real] :
( ( P3 @ Zs )
=> ( ( P3 @ ( cons_poly_real @ Y2 @ Zs ) )
=> ( P3 @ ( cons_poly_real @ X3 @ ( cons_poly_real @ Y2 @ Zs ) ) ) ) )
=> ( P3 @ Xs ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_214_induct__list012) ).
thf(136,axiom,
! [X: list_poly_real] :
( ! [X3: poly_real,Xs2: list_poly_real] :
( X
!= ( cons_poly_real @ X3 @ Xs2 ) )
=> ( X = nil_poly_real ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_213_min__list_Ocases) ).
thf(137,axiom,
! [P3: list_poly_real > $o,A0: list_poly_real] :
( ! [X3: poly_real,Xs2: list_poly_real] :
( ! [X212: poly_real,X222: list_poly_real] :
( ( Xs2
= ( cons_poly_real @ X212 @ X222 ) )
=> ( P3 @ Xs2 ) )
=> ( P3 @ ( cons_poly_real @ X3 @ Xs2 ) ) )
=> ( ( P3 @ nil_poly_real )
=> ( P3 @ A0 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_212_min__list_Oinduct) ).
thf(138,axiom,
! [P3: list_poly_real > list_poly_real > $o,A0: list_poly_real,A12: list_poly_real] :
( ! [X_1: list_poly_real] : ( P3 @ nil_poly_real @ X_1 )
=> ( ! [Xs2: list_poly_real] : ( P3 @ Xs2 @ nil_poly_real )
=> ( ! [X3: poly_real,Xs2: list_poly_real,Y2: poly_real,Ys2: list_poly_real] :
( ( P3 @ Xs2 @ ( cons_poly_real @ Y2 @ Ys2 ) )
=> ( ( P3 @ ( cons_poly_real @ X3 @ Xs2 ) @ Ys2 )
=> ( P3 @ ( cons_poly_real @ X3 @ Xs2 ) @ ( cons_poly_real @ Y2 @ Ys2 ) ) ) )
=> ( P3 @ A0 @ A12 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_211_shuffles_Oinduct) ).
thf(139,axiom,
! [X: list_poly_real] :
( ( X != nil_poly_real )
=> ( ! [X3: poly_real] :
( X
!= ( cons_poly_real @ X3 @ nil_poly_real ) )
=> ~ ! [X3: poly_real,Y2: poly_real,Xs2: list_poly_real] :
( X
!= ( cons_poly_real @ X3 @ ( cons_poly_real @ Y2 @ Xs2 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_210_remdups__adj_Ocases) ).
thf(140,axiom,
! [P3: ( poly_real > poly_real > $o ) > list_poly_real > $o,A0: poly_real > poly_real > $o,A12: list_poly_real] :
( ! [P4: poly_real > poly_real > $o] : ( P3 @ P4 @ nil_poly_real )
=> ( ! [P4: poly_real > poly_real > $o,X3: poly_real,Ys2: list_poly_real] :
( ( P3 @ P4 @ Ys2 )
=> ( P3 @ P4 @ ( cons_poly_real @ X3 @ Ys2 ) ) )
=> ( P3 @ A0 @ A12 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_209_sorted__wrt_Oinduct) ).
thf(141,axiom,
! [P3: list_poly_real > $o,A0: list_poly_real] :
( ( P3 @ nil_poly_real )
=> ( ! [X3: poly_real] : ( P3 @ ( cons_poly_real @ X3 @ nil_poly_real ) )
=> ( ! [X3: poly_real,Y2: poly_real,Xs2: list_poly_real] :
( ( ( X3 = Y2 )
=> ( P3 @ ( cons_poly_real @ X3 @ Xs2 ) ) )
=> ( ( ( X3 != Y2 )
=> ( P3 @ ( cons_poly_real @ Y2 @ Xs2 ) ) )
=> ( P3 @ ( cons_poly_real @ X3 @ ( cons_poly_real @ Y2 @ Xs2 ) ) ) ) )
=> ( P3 @ A0 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_208_remdups__adj_Oinduct) ).
thf(142,axiom,
! [P3: ( poly_real > poly_real > $o ) > list_poly_real > $o,A0: poly_real > poly_real > $o,A12: list_poly_real] :
( ! [P4: poly_real > poly_real > $o] : ( P3 @ P4 @ nil_poly_real )
=> ( ! [P4: poly_real > poly_real > $o,X3: poly_real] : ( P3 @ P4 @ ( cons_poly_real @ X3 @ nil_poly_real ) )
=> ( ! [P4: poly_real > poly_real > $o,X3: poly_real,Y2: poly_real,Xs2: list_poly_real] :
( ( P3 @ P4 @ ( cons_poly_real @ Y2 @ Xs2 ) )
=> ( P3 @ P4 @ ( cons_poly_real @ X3 @ ( cons_poly_real @ Y2 @ Xs2 ) ) ) )
=> ( P3 @ A0 @ A12 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_207_successively_Oinduct) ).
thf(143,axiom,
! [Xs: list_poly_real,P3: list_poly_real > $o] :
( ( Xs != nil_poly_real )
=> ( ! [X3: poly_real] : ( P3 @ ( cons_poly_real @ X3 @ nil_poly_real ) )
=> ( ! [X3: poly_real,Xs2: list_poly_real] :
( ( Xs2 != nil_poly_real )
=> ( ( P3 @ Xs2 )
=> ( P3 @ ( cons_poly_real @ X3 @ Xs2 ) ) ) )
=> ( P3 @ Xs ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_206_list__nonempty__induct) ).
thf(144,axiom,
! [P3: ( poly_real > poly_real ) > list_poly_real > list_poly_real > $o,A0: poly_real > poly_real,A12: list_poly_real,A22: list_poly_real] :
( ! [F2: poly_real > poly_real,X_1: list_poly_real] : ( P3 @ F2 @ nil_poly_real @ X_1 )
=> ( ! [F2: poly_real > poly_real,A: poly_real,As: list_poly_real,Bs2: list_poly_real] :
( ( P3 @ F2 @ As @ ( cons_poly_real @ ( F2 @ A ) @ Bs2 ) )
=> ( P3 @ F2 @ ( cons_poly_real @ A @ As ) @ Bs2 ) )
=> ( P3 @ A0 @ A12 @ A22 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_205_map__tailrec__rev_Oinduct) ).
thf(148,axiom,
! [X: list_poly_real] :
( ( X != nil_poly_real )
=> ~ ! [X3: poly_real,Ys2: list_poly_real] :
( X
!= ( cons_poly_real @ X3 @ Ys2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_201_strict__sorted_Ocases) ).
thf(149,axiom,
! [P3: list_poly_real > $o,A0: list_poly_real] :
( ( P3 @ nil_poly_real )
=> ( ! [X3: poly_real,Ys2: list_poly_real] :
( ( P3 @ Ys2 )
=> ( P3 @ ( cons_poly_real @ X3 @ Ys2 ) ) )
=> ( P3 @ A0 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_200_strict__sorted_Oinduct) ).
thf(240,axiom,
( ( rotate1_poly_real @ nil_poly_real )
= nil_poly_real ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_109_rotate1_Osimps_I1_J) ).
thf(244,axiom,
! [Ys: list_poly_real] :
( ( splice_poly_real @ nil_poly_real @ Ys )
= Ys ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_105_splice_Osimps_I1_J) ).
thf(248,axiom,
! [Less: poly_real > poly_real > $o,Ys: list_poly_real] : ( lexordp_eq_poly_real @ Less @ nil_poly_real @ Ys ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_101_ord_Olexordp__eq_ONil) ).
thf(263,axiom,
! [R: poly_real > poly_real > $o] : ( listre1609905961y_real @ R @ nil_poly_real @ nil_poly_real ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_86_listrelp_ONil) ).
thf(264,axiom,
! [Less: poly_real > poly_real > $o,Xs: list_poly_real] :
( ( lexordp_eq_poly_real @ Less @ Xs @ nil_poly_real )
= ( Xs = nil_poly_real ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_85_ord_Olexordp__eq__simps_I2_J) ).
thf(268,axiom,
! [Less: poly_real > poly_real > $o,Ys: list_poly_real] : ( lexordp_eq_poly_real @ Less @ nil_poly_real @ Ys ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_81_ord_Olexordp__eq__simps_I1_J) ).
thf(272,axiom,
! [F: poly_real > poly_real,Bs: list_poly_real] :
( ( map_ta1919289823y_real @ F @ nil_poly_real @ Bs )
= Bs ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_77_map__tailrec__rev_Osimps_I1_J) ).
thf(279,axiom,
! [Xs: list_poly_real] :
( ( splice_poly_real @ Xs @ nil_poly_real )
= Xs ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_70_splice__Nil2) ).
thf(283,axiom,
! [Xs: list_poly_real,Ys: list_poly_real] :
( ( ( splice_poly_real @ Xs @ Ys )
= nil_poly_real )
= ( ( Xs = nil_poly_real )
& ( Ys = nil_poly_real ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_66_split__Nil__iff) ).
thf(287,axiom,
! [Xs: list_poly_real] :
( ( ( rotate1_poly_real @ Xs )
= nil_poly_real )
= ( Xs = nil_poly_real ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_62_rotate1__is__Nil__conv) ).
thf(291,axiom,
! [P3: poly_real > $o] :
~ ( list_ex_poly_real @ P3 @ nil_poly_real ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_58_list__ex__simps_I2_J) ).
thf(296,axiom,
! [Xs: list_poly_real] :
( ( Xs = nil_poly_real )
= ( null_poly_real @ Xs ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_53_eq__Nil__null) ).
thf(300,axiom,
null_poly_real @ nil_poly_real,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_49_null__rec_I2_J) ).
thf(313,axiom,
! [F: poly_real > option_poly_real] :
( ( map_fi1183202740y_real @ F @ nil_poly_real )
= nil_poly_real ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_36_map__filter__simps_I2_J) ).
thf(323,axiom,
! [F: poly_real > list_poly_real] :
( ( maps_p961674027y_real @ F @ nil_poly_real )
= nil_poly_real ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_26_maps__simps_I2_J) ).
thf(324,axiom,
! [N: nat] :
( ( gen_length_poly_real @ N @ nil_poly_real )
= N ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_25_gen__length__code_I1_J) ).
thf(328,axiom,
! [Y: poly_real] :
~ ( member_poly_real @ nil_poly_real @ Y ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_21_member__rec_I2_J) ).
thf(341,axiom,
! [F: poly_real > list_poly_real] :
( ( bind_p420216945y_real @ nil_poly_real @ F )
= nil_poly_real ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_8_bind__simps_I1_J) ).
thf(342,axiom,
! [P3: poly_real > $o] :
~ ( list_ex1_poly_real @ P3 @ nil_poly_real ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7_list__ex1__simps_I1_J) ).
thf(348,axiom,
! [Ps: list_poly_real,P: poly_real] :
( ( sturm_1664866327rm_seq @ Ps @ P )
=> ( sturm_891428828rm_seq @ Ps ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1_sturm__seq_Oquasi__sturm__seq) ).
thf(349,axiom,
! [Ps: list_poly_real] :
( ( sturm_891428828rm_seq @ Ps )
=> ( Ps != nil_poly_real ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0_quasi__sturm__seq_Ops__not__Nil) ).
thf(350,conjecture,
~ ( sturm_891428828rm_seq @ nil_poly_real ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
thf(351,negated_conjecture,
( ( ~ ( sturm_891428828rm_seq @ nil_poly_real ) )
= $false ),
inference(negate_conjecture,[status(cth)],[350]) ).
thf(352,plain,
( ( ~ ( sturm_891428828rm_seq @ nil_poly_real ) )
= $false ),
inference(unfold_def,[status(thm)],[351]) ).
thf(353,plain,
( ( ! [F: poly_real > poly_real,Xs: list_poly_real] :
( ( nil_poly_real
= ( map_po2132607150y_real @ F @ Xs ) )
= ( Xs = nil_poly_real ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(354,plain,
( ( ! [F: poly_real > poly_real,Xs: list_poly_real] :
( ( ( map_po2132607150y_real @ F @ Xs )
= nil_poly_real )
= ( Xs = nil_poly_real ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(355,plain,
( ( ! [F: poly_real > poly_real,A3: list_poly_real] :
( ( ( map_po2132607150y_real @ F @ A3 )
= nil_poly_real )
= ( A3 = nil_poly_real ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(356,plain,
( ( ! [N: nat,Xs: list_poly_real] :
( ( ( rotate_poly_real @ N @ Xs )
= nil_poly_real )
= ( Xs = nil_poly_real ) ) )
= $true ),
inference(unfold_def,[status(thm)],[58]) ).
thf(357,plain,
( ( ! [Xs: list_poly_real] :
( ( plus_c288199817y_real @ Xs @ nil_poly_real )
= Xs ) )
= $true ),
inference(unfold_def,[status(thm)],[66]) ).
thf(358,plain,
( ( ( butlast_poly_real @ nil_poly_real )
= nil_poly_real )
= $true ),
inference(unfold_def,[status(thm)],[72]) ).
thf(359,plain,
( ( ! [Ys: list_poly_real] : ( ord_le1233681790y_real @ nil_poly_real @ Ys ) )
= $true ),
inference(unfold_def,[status(thm)],[95]) ).
thf(360,plain,
( ( ! [A3: list_poly_real] :
( ( append_poly_real @ nil_poly_real @ A3 )
= A3 ) )
= $true ),
inference(unfold_def,[status(thm)],[96]) ).
thf(361,plain,
( ( ! [Ys: list_poly_real] :
( ( append_poly_real @ nil_poly_real @ Ys )
= Ys ) )
= $true ),
inference(unfold_def,[status(thm)],[97]) ).
thf(362,plain,
( ( ! [Xs: list_poly_real,Ys: list_poly_real] :
( ( Xs = Ys )
=> ( Xs
= ( append_poly_real @ nil_poly_real @ Ys ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[98]) ).
thf(363,plain,
( ( ! [Ys: list_poly_real] : ( ord_le1233681790y_real @ nil_poly_real @ Ys ) )
= $true ),
inference(unfold_def,[status(thm)],[102]) ).
thf(364,plain,
( ( ! [Xs: list_poly_real] :
( ( ord_le1233681790y_real @ Xs @ nil_poly_real )
= ( Xs = nil_poly_real ) ) )
= $true ),
inference(unfold_def,[status(thm)],[103]) ).
thf(365,plain,
( ( ! [A3: list_poly_real] :
( ( append_poly_real @ A3 @ nil_poly_real )
= A3 ) )
= $true ),
inference(unfold_def,[status(thm)],[104]) ).
thf(366,plain,
( ( ! [Xs: list_poly_real,Ys: list_poly_real] :
( ( ( append_poly_real @ Xs @ Ys )
= nil_poly_real )
= ( ( Xs = nil_poly_real )
& ( Ys = nil_poly_real ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[105]) ).
thf(367,plain,
( ( ! [Xs: list_poly_real,Ys: list_poly_real] :
( ( nil_poly_real
= ( append_poly_real @ Xs @ Ys ) )
= ( ( Xs = nil_poly_real )
& ( Ys = nil_poly_real ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[106]) ).
thf(368,plain,
( ( ! [Ys: list_poly_real,Xs: list_poly_real] :
( ( Ys
= ( append_poly_real @ Xs @ Ys ) )
= ( Xs = nil_poly_real ) ) )
= $true ),
inference(unfold_def,[status(thm)],[107]) ).
thf(369,plain,
( ( ! [Xs: list_poly_real,Ys: list_poly_real] :
( ( ( append_poly_real @ Xs @ Ys )
= Ys )
= ( Xs = nil_poly_real ) ) )
= $true ),
inference(unfold_def,[status(thm)],[108]) ).
thf(370,plain,
( ( ! [Xs: list_poly_real,Ys: list_poly_real] :
( ( Xs
= ( append_poly_real @ Xs @ Ys ) )
= ( Ys = nil_poly_real ) ) )
= $true ),
inference(unfold_def,[status(thm)],[109]) ).
thf(371,plain,
( ( ! [Xs: list_poly_real,Ys: list_poly_real] :
( ( ( append_poly_real @ Xs @ Ys )
= Xs )
= ( Ys = nil_poly_real ) ) )
= $true ),
inference(unfold_def,[status(thm)],[110]) ).
thf(372,plain,
( ( ! [Xs: list_poly_real] :
( ( append_poly_real @ Xs @ nil_poly_real )
= Xs ) )
= $true ),
inference(unfold_def,[status(thm)],[111]) ).
thf(373,plain,
( ( ! [P3: list_poly_real > list_poly_real > $o,A0: list_poly_real,A12: list_poly_real] :
( ! [Xs2: list_poly_real] : ( P3 @ Xs2 @ nil_poly_real )
=> ( ! [V: poly_real,Va: list_poly_real] : ( P3 @ nil_poly_real @ ( cons_poly_real @ V @ Va ) )
=> ( ! [X3: poly_real,Xs2: list_poly_real,Y2: poly_real,Ys2: list_poly_real] :
( ( P3 @ Xs2 @ Ys2 )
=> ( P3 @ ( cons_poly_real @ X3 @ Xs2 ) @ ( cons_poly_real @ Y2 @ Ys2 ) ) )
=> ( P3 @ A0 @ A12 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[117]) ).
thf(374,plain,
( ( ! [P3: list_poly_real > list_poly_real > $o,A0: list_poly_real,A12: list_poly_real] :
( ! [X3: poly_real,Xs2: list_poly_real,Y2: poly_real,Ys2: list_poly_real] :
( ( P3 @ Xs2 @ Ys2 )
=> ( P3 @ ( cons_poly_real @ X3 @ Xs2 ) @ ( cons_poly_real @ Y2 @ Ys2 ) ) )
=> ( ! [Xs2: list_poly_real] : ( P3 @ Xs2 @ nil_poly_real )
=> ( ! [Y2: poly_real,Ys2: list_poly_real] : ( P3 @ nil_poly_real @ ( cons_poly_real @ Y2 @ Ys2 ) )
=> ( P3 @ A0 @ A12 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[118]) ).
thf(375,plain,
( ( ! [X21: poly_real,X22: list_poly_real] :
( nil_poly_real
!= ( cons_poly_real @ X21 @ X22 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[128]) ).
thf(376,plain,
( ( ! [List: list_poly_real,X21: poly_real,X22: list_poly_real] :
( ( List
= ( cons_poly_real @ X21 @ X22 ) )
=> ( List != nil_poly_real ) ) )
= $true ),
inference(unfold_def,[status(thm)],[129]) ).
thf(377,plain,
( ( ! [Y: list_poly_real] :
( ( Y != nil_poly_real )
=> ~ ! [X213: poly_real,X223: list_poly_real] :
( Y
!= ( cons_poly_real @ X213 @ X223 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[130]) ).
thf(378,plain,
( ( ! [P3: list_poly_real > $o,List: list_poly_real] :
( ( P3 @ nil_poly_real )
=> ( ! [X12: poly_real,X23: list_poly_real] :
( ( P3 @ X23 )
=> ( P3 @ ( cons_poly_real @ X12 @ X23 ) ) )
=> ( P3 @ List ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[131]) ).
thf(379,plain,
( ( ! [Xs: list_poly_real] :
( ( Xs != nil_poly_real )
= ( ? [Y3: poly_real,Ys3: list_poly_real] :
( Xs
= ( cons_poly_real @ Y3 @ Ys3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[132]) ).
thf(380,plain,
( ( ! [P3: list_poly_real > list_poly_real > $o,Xs: list_poly_real,Ys: list_poly_real] :
( ( P3 @ nil_poly_real @ nil_poly_real )
=> ( ! [X3: poly_real,Xs2: list_poly_real] : ( P3 @ ( cons_poly_real @ X3 @ Xs2 ) @ nil_poly_real )
=> ( ! [Y2: poly_real,Ys2: list_poly_real] : ( P3 @ nil_poly_real @ ( cons_poly_real @ Y2 @ Ys2 ) )
=> ( ! [X3: poly_real,Xs2: list_poly_real,Y2: poly_real,Ys2: list_poly_real] :
( ( P3 @ Xs2 @ Ys2 )
=> ( P3 @ ( cons_poly_real @ X3 @ Xs2 ) @ ( cons_poly_real @ Y2 @ Ys2 ) ) )
=> ( P3 @ Xs @ Ys ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[133]) ).
thf(381,plain,
( ( ! [P3: list_poly_real > list_poly_real > $o,A0: list_poly_real,A12: list_poly_real] :
( ! [X_1: list_poly_real] : ( P3 @ nil_poly_real @ X_1 )
=> ( ! [X3: poly_real,Xs2: list_poly_real,Ys2: list_poly_real] :
( ( P3 @ Ys2 @ Xs2 )
=> ( P3 @ ( cons_poly_real @ X3 @ Xs2 ) @ Ys2 ) )
=> ( P3 @ A0 @ A12 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[134]) ).
thf(382,plain,
( ( ! [P3: list_poly_real > $o,Xs: list_poly_real] :
( ( P3 @ nil_poly_real )
=> ( ! [X3: poly_real] : ( P3 @ ( cons_poly_real @ X3 @ nil_poly_real ) )
=> ( ! [X3: poly_real,Y2: poly_real,Zs: list_poly_real] :
( ( P3 @ Zs )
=> ( ( P3 @ ( cons_poly_real @ Y2 @ Zs ) )
=> ( P3 @ ( cons_poly_real @ X3 @ ( cons_poly_real @ Y2 @ Zs ) ) ) ) )
=> ( P3 @ Xs ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[135]) ).
thf(383,plain,
( ( ! [X: list_poly_real] :
( ! [X3: poly_real,Xs2: list_poly_real] :
( X
!= ( cons_poly_real @ X3 @ Xs2 ) )
=> ( X = nil_poly_real ) ) )
= $true ),
inference(unfold_def,[status(thm)],[136]) ).
thf(384,plain,
( ( ! [P3: list_poly_real > $o,A0: list_poly_real] :
( ! [X3: poly_real,Xs2: list_poly_real] :
( ! [X212: poly_real,X222: list_poly_real] :
( ( Xs2
= ( cons_poly_real @ X212 @ X222 ) )
=> ( P3 @ Xs2 ) )
=> ( P3 @ ( cons_poly_real @ X3 @ Xs2 ) ) )
=> ( ( P3 @ nil_poly_real )
=> ( P3 @ A0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[137]) ).
thf(385,plain,
( ( ! [P3: list_poly_real > list_poly_real > $o,A0: list_poly_real,A12: list_poly_real] :
( ! [X_1: list_poly_real] : ( P3 @ nil_poly_real @ X_1 )
=> ( ! [Xs2: list_poly_real] : ( P3 @ Xs2 @ nil_poly_real )
=> ( ! [X3: poly_real,Xs2: list_poly_real,Y2: poly_real,Ys2: list_poly_real] :
( ( P3 @ Xs2 @ ( cons_poly_real @ Y2 @ Ys2 ) )
=> ( ( P3 @ ( cons_poly_real @ X3 @ Xs2 ) @ Ys2 )
=> ( P3 @ ( cons_poly_real @ X3 @ Xs2 ) @ ( cons_poly_real @ Y2 @ Ys2 ) ) ) )
=> ( P3 @ A0 @ A12 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[138]) ).
thf(386,plain,
( ( ! [X: list_poly_real] :
( ( X != nil_poly_real )
=> ( ! [X3: poly_real] :
( X
!= ( cons_poly_real @ X3 @ nil_poly_real ) )
=> ~ ! [X3: poly_real,Y2: poly_real,Xs2: list_poly_real] :
( X
!= ( cons_poly_real @ X3 @ ( cons_poly_real @ Y2 @ Xs2 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[139]) ).
thf(387,plain,
( ( ! [P3: ( poly_real > poly_real > $o ) > list_poly_real > $o,A0: poly_real > poly_real > $o,A12: list_poly_real] :
( ! [P4: poly_real > poly_real > $o] : ( P3 @ P4 @ nil_poly_real )
=> ( ! [P4: poly_real > poly_real > $o,X3: poly_real,Ys2: list_poly_real] :
( ( P3 @ P4 @ Ys2 )
=> ( P3 @ P4 @ ( cons_poly_real @ X3 @ Ys2 ) ) )
=> ( P3 @ A0 @ A12 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[140]) ).
thf(388,plain,
( ( ! [P3: list_poly_real > $o,A0: list_poly_real] :
( ( P3 @ nil_poly_real )
=> ( ! [X3: poly_real] : ( P3 @ ( cons_poly_real @ X3 @ nil_poly_real ) )
=> ( ! [X3: poly_real,Y2: poly_real,Xs2: list_poly_real] :
( ( ( X3 = Y2 )
=> ( P3 @ ( cons_poly_real @ X3 @ Xs2 ) ) )
=> ( ( ( X3 != Y2 )
=> ( P3 @ ( cons_poly_real @ Y2 @ Xs2 ) ) )
=> ( P3 @ ( cons_poly_real @ X3 @ ( cons_poly_real @ Y2 @ Xs2 ) ) ) ) )
=> ( P3 @ A0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[141]) ).
thf(389,plain,
( ( ! [P3: ( poly_real > poly_real > $o ) > list_poly_real > $o,A0: poly_real > poly_real > $o,A12: list_poly_real] :
( ! [P4: poly_real > poly_real > $o] : ( P3 @ P4 @ nil_poly_real )
=> ( ! [P4: poly_real > poly_real > $o,X3: poly_real] : ( P3 @ P4 @ ( cons_poly_real @ X3 @ nil_poly_real ) )
=> ( ! [P4: poly_real > poly_real > $o,X3: poly_real,Y2: poly_real,Xs2: list_poly_real] :
( ( P3 @ P4 @ ( cons_poly_real @ Y2 @ Xs2 ) )
=> ( P3 @ P4 @ ( cons_poly_real @ X3 @ ( cons_poly_real @ Y2 @ Xs2 ) ) ) )
=> ( P3 @ A0 @ A12 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[142]) ).
thf(390,plain,
( ( ! [Xs: list_poly_real,P3: list_poly_real > $o] :
( ( Xs != nil_poly_real )
=> ( ! [X3: poly_real] : ( P3 @ ( cons_poly_real @ X3 @ nil_poly_real ) )
=> ( ! [X3: poly_real,Xs2: list_poly_real] :
( ( Xs2 != nil_poly_real )
=> ( ( P3 @ Xs2 )
=> ( P3 @ ( cons_poly_real @ X3 @ Xs2 ) ) ) )
=> ( P3 @ Xs ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[143]) ).
thf(391,plain,
( ( ! [P3: ( poly_real > poly_real ) > list_poly_real > list_poly_real > $o,A0: poly_real > poly_real,A12: list_poly_real,A22: list_poly_real] :
( ! [F2: poly_real > poly_real,X_1: list_poly_real] : ( P3 @ F2 @ nil_poly_real @ X_1 )
=> ( ! [F2: poly_real > poly_real,A: poly_real,As: list_poly_real,Bs2: list_poly_real] :
( ( P3 @ F2 @ As @ ( cons_poly_real @ ( F2 @ A ) @ Bs2 ) )
=> ( P3 @ F2 @ ( cons_poly_real @ A @ As ) @ Bs2 ) )
=> ( P3 @ A0 @ A12 @ A22 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[144]) ).
thf(392,plain,
( ( ! [X: list_poly_real] :
( ( X != nil_poly_real )
=> ~ ! [X3: poly_real,Ys2: list_poly_real] :
( X
!= ( cons_poly_real @ X3 @ Ys2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[148]) ).
thf(393,plain,
( ( ! [P3: list_poly_real > $o,A0: list_poly_real] :
( ( P3 @ nil_poly_real )
=> ( ! [X3: poly_real,Ys2: list_poly_real] :
( ( P3 @ Ys2 )
=> ( P3 @ ( cons_poly_real @ X3 @ Ys2 ) ) )
=> ( P3 @ A0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[149]) ).
thf(394,plain,
( ( ( rotate1_poly_real @ nil_poly_real )
= nil_poly_real )
= $true ),
inference(unfold_def,[status(thm)],[240]) ).
thf(395,plain,
( ( ! [Ys: list_poly_real] :
( ( splice_poly_real @ nil_poly_real @ Ys )
= Ys ) )
= $true ),
inference(unfold_def,[status(thm)],[244]) ).
thf(396,plain,
( ( ! [Less: poly_real > poly_real > $o,Ys: list_poly_real] : ( lexordp_eq_poly_real @ Less @ nil_poly_real @ Ys ) )
= $true ),
inference(unfold_def,[status(thm)],[248]) ).
thf(397,plain,
( ( ! [R: poly_real > poly_real > $o] : ( listre1609905961y_real @ R @ nil_poly_real @ nil_poly_real ) )
= $true ),
inference(unfold_def,[status(thm)],[263]) ).
thf(398,plain,
( ( ! [Less: poly_real > poly_real > $o,Xs: list_poly_real] :
( ( lexordp_eq_poly_real @ Less @ Xs @ nil_poly_real )
= ( Xs = nil_poly_real ) ) )
= $true ),
inference(unfold_def,[status(thm)],[264]) ).
thf(399,plain,
( ( ! [Less: poly_real > poly_real > $o,Ys: list_poly_real] : ( lexordp_eq_poly_real @ Less @ nil_poly_real @ Ys ) )
= $true ),
inference(unfold_def,[status(thm)],[268]) ).
thf(400,plain,
( ( ! [F: poly_real > poly_real,Bs: list_poly_real] :
( ( map_ta1919289823y_real @ F @ nil_poly_real @ Bs )
= Bs ) )
= $true ),
inference(unfold_def,[status(thm)],[272]) ).
thf(401,plain,
( ( ! [Xs: list_poly_real] :
( ( splice_poly_real @ Xs @ nil_poly_real )
= Xs ) )
= $true ),
inference(unfold_def,[status(thm)],[279]) ).
thf(402,plain,
( ( ! [Xs: list_poly_real,Ys: list_poly_real] :
( ( ( splice_poly_real @ Xs @ Ys )
= nil_poly_real )
= ( ( Xs = nil_poly_real )
& ( Ys = nil_poly_real ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[283]) ).
thf(403,plain,
( ( ! [Xs: list_poly_real] :
( ( ( rotate1_poly_real @ Xs )
= nil_poly_real )
= ( Xs = nil_poly_real ) ) )
= $true ),
inference(unfold_def,[status(thm)],[287]) ).
thf(404,plain,
( ( ! [P3: poly_real > $o] :
~ ( list_ex_poly_real @ P3 @ nil_poly_real ) )
= $true ),
inference(unfold_def,[status(thm)],[291]) ).
thf(405,plain,
( ( ! [Xs: list_poly_real] :
( ( Xs = nil_poly_real )
= ( null_poly_real @ Xs ) ) )
= $true ),
inference(unfold_def,[status(thm)],[296]) ).
thf(406,plain,
( ( null_poly_real @ nil_poly_real )
= $true ),
inference(unfold_def,[status(thm)],[300]) ).
thf(407,plain,
( ( ! [F: poly_real > option_poly_real] :
( ( map_fi1183202740y_real @ F @ nil_poly_real )
= nil_poly_real ) )
= $true ),
inference(unfold_def,[status(thm)],[313]) ).
thf(408,plain,
( ( ! [F: poly_real > list_poly_real] :
( ( maps_p961674027y_real @ F @ nil_poly_real )
= nil_poly_real ) )
= $true ),
inference(unfold_def,[status(thm)],[323]) ).
thf(409,plain,
( ( ! [N: nat] :
( ( gen_length_poly_real @ N @ nil_poly_real )
= N ) )
= $true ),
inference(unfold_def,[status(thm)],[324]) ).
thf(410,plain,
( ( ! [Y: poly_real] :
~ ( member_poly_real @ nil_poly_real @ Y ) )
= $true ),
inference(unfold_def,[status(thm)],[328]) ).
thf(411,plain,
( ( ! [F: poly_real > list_poly_real] :
( ( bind_p420216945y_real @ nil_poly_real @ F )
= nil_poly_real ) )
= $true ),
inference(unfold_def,[status(thm)],[341]) ).
thf(412,plain,
( ( ! [P3: poly_real > $o] :
~ ( list_ex1_poly_real @ P3 @ nil_poly_real ) )
= $true ),
inference(unfold_def,[status(thm)],[342]) ).
thf(413,plain,
( ( ! [Ps: list_poly_real,P: poly_real] :
( ( sturm_1664866327rm_seq @ Ps @ P )
=> ( sturm_891428828rm_seq @ Ps ) ) )
= $true ),
inference(unfold_def,[status(thm)],[348]) ).
thf(414,plain,
( ( ! [Ps: list_poly_real] :
( ( sturm_891428828rm_seq @ Ps )
=> ( Ps != nil_poly_real ) ) )
= $true ),
inference(unfold_def,[status(thm)],[349]) ).
thf(415,plain,
( ( sturm_891428828rm_seq @ nil_poly_real )
= $true ),
inference(polarity_switch,[status(thm)],[352]) ).
thf(416,plain,
( ( ! [Ps: list_poly_real] :
( ( sturm_891428828rm_seq @ Ps )
=> ( Ps != nil_poly_real ) ) )
= $true ),
inference(copy,[status(thm)],[414]) ).
thf(417,plain,
( ( ! [Ps: list_poly_real,P: poly_real] :
( ( sturm_1664866327rm_seq @ Ps @ P )
=> ( sturm_891428828rm_seq @ Ps ) ) )
= $true ),
inference(copy,[status(thm)],[413]) ).
thf(418,plain,
( ( ! [P3: poly_real > $o] :
~ ( list_ex1_poly_real @ P3 @ nil_poly_real ) )
= $true ),
inference(copy,[status(thm)],[412]) ).
thf(419,plain,
( ( ! [F: poly_real > list_poly_real] :
( ( bind_p420216945y_real @ nil_poly_real @ F )
= nil_poly_real ) )
= $true ),
inference(copy,[status(thm)],[411]) ).
thf(420,plain,
( ( ! [Y: poly_real] :
~ ( member_poly_real @ nil_poly_real @ Y ) )
= $true ),
inference(copy,[status(thm)],[410]) ).
thf(421,plain,
( ( ! [N: nat] :
( ( gen_length_poly_real @ N @ nil_poly_real )
= N ) )
= $true ),
inference(copy,[status(thm)],[409]) ).
thf(422,plain,
( ( ! [F: poly_real > list_poly_real] :
( ( maps_p961674027y_real @ F @ nil_poly_real )
= nil_poly_real ) )
= $true ),
inference(copy,[status(thm)],[408]) ).
thf(423,plain,
( ( ! [F: poly_real > option_poly_real] :
( ( map_fi1183202740y_real @ F @ nil_poly_real )
= nil_poly_real ) )
= $true ),
inference(copy,[status(thm)],[407]) ).
thf(424,plain,
( ( null_poly_real @ nil_poly_real )
= $true ),
inference(copy,[status(thm)],[406]) ).
thf(425,plain,
( ( ! [Xs: list_poly_real] :
( ( Xs = nil_poly_real )
= ( null_poly_real @ Xs ) ) )
= $true ),
inference(copy,[status(thm)],[405]) ).
thf(426,plain,
( ( ! [P3: poly_real > $o] :
~ ( list_ex_poly_real @ P3 @ nil_poly_real ) )
= $true ),
inference(copy,[status(thm)],[404]) ).
thf(427,plain,
( ( ! [Xs: list_poly_real] :
( ( ( rotate1_poly_real @ Xs )
= nil_poly_real )
= ( Xs = nil_poly_real ) ) )
= $true ),
inference(copy,[status(thm)],[403]) ).
thf(428,plain,
( ( ! [Xs: list_poly_real,Ys: list_poly_real] :
( ( ( splice_poly_real @ Xs @ Ys )
= nil_poly_real )
= ( ( Xs = nil_poly_real )
& ( Ys = nil_poly_real ) ) ) )
= $true ),
inference(copy,[status(thm)],[402]) ).
thf(429,plain,
( ( ! [Xs: list_poly_real] :
( ( splice_poly_real @ Xs @ nil_poly_real )
= Xs ) )
= $true ),
inference(copy,[status(thm)],[401]) ).
thf(430,plain,
( ( ! [F: poly_real > poly_real,Bs: list_poly_real] :
( ( map_ta1919289823y_real @ F @ nil_poly_real @ Bs )
= Bs ) )
= $true ),
inference(copy,[status(thm)],[400]) ).
thf(431,plain,
( ( ! [Less: poly_real > poly_real > $o,Ys: list_poly_real] : ( lexordp_eq_poly_real @ Less @ nil_poly_real @ Ys ) )
= $true ),
inference(copy,[status(thm)],[399]) ).
thf(432,plain,
( ( ! [Less: poly_real > poly_real > $o,Xs: list_poly_real] :
( ( lexordp_eq_poly_real @ Less @ Xs @ nil_poly_real )
= ( Xs = nil_poly_real ) ) )
= $true ),
inference(copy,[status(thm)],[398]) ).
thf(433,plain,
( ( ! [R: poly_real > poly_real > $o] : ( listre1609905961y_real @ R @ nil_poly_real @ nil_poly_real ) )
= $true ),
inference(copy,[status(thm)],[397]) ).
thf(434,plain,
( ( ! [Less: poly_real > poly_real > $o,Ys: list_poly_real] : ( lexordp_eq_poly_real @ Less @ nil_poly_real @ Ys ) )
= $true ),
inference(copy,[status(thm)],[396]) ).
thf(435,plain,
( ( ! [Ys: list_poly_real] :
( ( splice_poly_real @ nil_poly_real @ Ys )
= Ys ) )
= $true ),
inference(copy,[status(thm)],[395]) ).
thf(436,plain,
( ( ( rotate1_poly_real @ nil_poly_real )
= nil_poly_real )
= $true ),
inference(copy,[status(thm)],[394]) ).
thf(437,plain,
( ( ! [P3: list_poly_real > $o,A0: list_poly_real] :
( ( P3 @ nil_poly_real )
=> ( ! [X3: poly_real,Ys2: list_poly_real] :
( ( P3 @ Ys2 )
=> ( P3 @ ( cons_poly_real @ X3 @ Ys2 ) ) )
=> ( P3 @ A0 ) ) ) )
= $true ),
inference(copy,[status(thm)],[393]) ).
thf(438,plain,
( ( ! [X: list_poly_real] :
( ( X != nil_poly_real )
=> ~ ! [X3: poly_real,Ys2: list_poly_real] :
( X
!= ( cons_poly_real @ X3 @ Ys2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[392]) ).
thf(439,plain,
( ( ! [P3: ( poly_real > poly_real ) > list_poly_real > list_poly_real > $o,A0: poly_real > poly_real,A12: list_poly_real,A22: list_poly_real] :
( ! [F2: poly_real > poly_real,X_1: list_poly_real] : ( P3 @ F2 @ nil_poly_real @ X_1 )
=> ( ! [F2: poly_real > poly_real,A: poly_real,As: list_poly_real,Bs2: list_poly_real] :
( ( P3 @ F2 @ As @ ( cons_poly_real @ ( F2 @ A ) @ Bs2 ) )
=> ( P3 @ F2 @ ( cons_poly_real @ A @ As ) @ Bs2 ) )
=> ( P3 @ A0 @ A12 @ A22 ) ) ) )
= $true ),
inference(copy,[status(thm)],[391]) ).
thf(440,plain,
( ( ! [Xs: list_poly_real,P3: list_poly_real > $o] :
( ( Xs != nil_poly_real )
=> ( ! [X3: poly_real] : ( P3 @ ( cons_poly_real @ X3 @ nil_poly_real ) )
=> ( ! [X3: poly_real,Xs2: list_poly_real] :
( ( Xs2 != nil_poly_real )
=> ( ( P3 @ Xs2 )
=> ( P3 @ ( cons_poly_real @ X3 @ Xs2 ) ) ) )
=> ( P3 @ Xs ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[390]) ).
thf(441,plain,
( ( ! [P3: ( poly_real > poly_real > $o ) > list_poly_real > $o,A0: poly_real > poly_real > $o,A12: list_poly_real] :
( ! [P4: poly_real > poly_real > $o] : ( P3 @ P4 @ nil_poly_real )
=> ( ! [P4: poly_real > poly_real > $o,X3: poly_real] : ( P3 @ P4 @ ( cons_poly_real @ X3 @ nil_poly_real ) )
=> ( ! [P4: poly_real > poly_real > $o,X3: poly_real,Y2: poly_real,Xs2: list_poly_real] :
( ( P3 @ P4 @ ( cons_poly_real @ Y2 @ Xs2 ) )
=> ( P3 @ P4 @ ( cons_poly_real @ X3 @ ( cons_poly_real @ Y2 @ Xs2 ) ) ) )
=> ( P3 @ A0 @ A12 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[389]) ).
thf(442,plain,
( ( ! [P3: list_poly_real > $o,A0: list_poly_real] :
( ( P3 @ nil_poly_real )
=> ( ! [X3: poly_real] : ( P3 @ ( cons_poly_real @ X3 @ nil_poly_real ) )
=> ( ! [X3: poly_real,Y2: poly_real,Xs2: list_poly_real] :
( ( ( X3 = Y2 )
=> ( P3 @ ( cons_poly_real @ X3 @ Xs2 ) ) )
=> ( ( ( X3 != Y2 )
=> ( P3 @ ( cons_poly_real @ Y2 @ Xs2 ) ) )
=> ( P3 @ ( cons_poly_real @ X3 @ ( cons_poly_real @ Y2 @ Xs2 ) ) ) ) )
=> ( P3 @ A0 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[388]) ).
thf(443,plain,
( ( ! [P3: ( poly_real > poly_real > $o ) > list_poly_real > $o,A0: poly_real > poly_real > $o,A12: list_poly_real] :
( ! [P4: poly_real > poly_real > $o] : ( P3 @ P4 @ nil_poly_real )
=> ( ! [P4: poly_real > poly_real > $o,X3: poly_real,Ys2: list_poly_real] :
( ( P3 @ P4 @ Ys2 )
=> ( P3 @ P4 @ ( cons_poly_real @ X3 @ Ys2 ) ) )
=> ( P3 @ A0 @ A12 ) ) ) )
= $true ),
inference(copy,[status(thm)],[387]) ).
thf(444,plain,
( ( ! [X: list_poly_real] :
( ( X != nil_poly_real )
=> ( ! [X3: poly_real] :
( X
!= ( cons_poly_real @ X3 @ nil_poly_real ) )
=> ~ ! [X3: poly_real,Y2: poly_real,Xs2: list_poly_real] :
( X
!= ( cons_poly_real @ X3 @ ( cons_poly_real @ Y2 @ Xs2 ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[386]) ).
thf(445,plain,
( ( ! [P3: list_poly_real > list_poly_real > $o,A0: list_poly_real,A12: list_poly_real] :
( ! [X_1: list_poly_real] : ( P3 @ nil_poly_real @ X_1 )
=> ( ! [Xs2: list_poly_real] : ( P3 @ Xs2 @ nil_poly_real )
=> ( ! [X3: poly_real,Xs2: list_poly_real,Y2: poly_real,Ys2: list_poly_real] :
( ( P3 @ Xs2 @ ( cons_poly_real @ Y2 @ Ys2 ) )
=> ( ( P3 @ ( cons_poly_real @ X3 @ Xs2 ) @ Ys2 )
=> ( P3 @ ( cons_poly_real @ X3 @ Xs2 ) @ ( cons_poly_real @ Y2 @ Ys2 ) ) ) )
=> ( P3 @ A0 @ A12 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[385]) ).
thf(446,plain,
( ( ! [P3: list_poly_real > $o,A0: list_poly_real] :
( ! [X3: poly_real,Xs2: list_poly_real] :
( ! [X212: poly_real,X222: list_poly_real] :
( ( Xs2
= ( cons_poly_real @ X212 @ X222 ) )
=> ( P3 @ Xs2 ) )
=> ( P3 @ ( cons_poly_real @ X3 @ Xs2 ) ) )
=> ( ( P3 @ nil_poly_real )
=> ( P3 @ A0 ) ) ) )
= $true ),
inference(copy,[status(thm)],[384]) ).
thf(447,plain,
( ( ! [X: list_poly_real] :
( ! [X3: poly_real,Xs2: list_poly_real] :
( X
!= ( cons_poly_real @ X3 @ Xs2 ) )
=> ( X = nil_poly_real ) ) )
= $true ),
inference(copy,[status(thm)],[383]) ).
thf(448,plain,
( ( ! [P3: list_poly_real > $o,Xs: list_poly_real] :
( ( P3 @ nil_poly_real )
=> ( ! [X3: poly_real] : ( P3 @ ( cons_poly_real @ X3 @ nil_poly_real ) )
=> ( ! [X3: poly_real,Y2: poly_real,Zs: list_poly_real] :
( ( P3 @ Zs )
=> ( ( P3 @ ( cons_poly_real @ Y2 @ Zs ) )
=> ( P3 @ ( cons_poly_real @ X3 @ ( cons_poly_real @ Y2 @ Zs ) ) ) ) )
=> ( P3 @ Xs ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[382]) ).
thf(449,plain,
( ( ! [P3: list_poly_real > list_poly_real > $o,A0: list_poly_real,A12: list_poly_real] :
( ! [X_1: list_poly_real] : ( P3 @ nil_poly_real @ X_1 )
=> ( ! [X3: poly_real,Xs2: list_poly_real,Ys2: list_poly_real] :
( ( P3 @ Ys2 @ Xs2 )
=> ( P3 @ ( cons_poly_real @ X3 @ Xs2 ) @ Ys2 ) )
=> ( P3 @ A0 @ A12 ) ) ) )
= $true ),
inference(copy,[status(thm)],[381]) ).
thf(450,plain,
( ( ! [P3: list_poly_real > list_poly_real > $o,Xs: list_poly_real,Ys: list_poly_real] :
( ( P3 @ nil_poly_real @ nil_poly_real )
=> ( ! [X3: poly_real,Xs2: list_poly_real] : ( P3 @ ( cons_poly_real @ X3 @ Xs2 ) @ nil_poly_real )
=> ( ! [Y2: poly_real,Ys2: list_poly_real] : ( P3 @ nil_poly_real @ ( cons_poly_real @ Y2 @ Ys2 ) )
=> ( ! [X3: poly_real,Xs2: list_poly_real,Y2: poly_real,Ys2: list_poly_real] :
( ( P3 @ Xs2 @ Ys2 )
=> ( P3 @ ( cons_poly_real @ X3 @ Xs2 ) @ ( cons_poly_real @ Y2 @ Ys2 ) ) )
=> ( P3 @ Xs @ Ys ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[380]) ).
thf(451,plain,
( ( ! [Xs: list_poly_real] :
( ( Xs != nil_poly_real )
= ( ? [Y3: poly_real,Ys3: list_poly_real] :
( Xs
= ( cons_poly_real @ Y3 @ Ys3 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[379]) ).
thf(452,plain,
( ( ! [P3: list_poly_real > $o,List: list_poly_real] :
( ( P3 @ nil_poly_real )
=> ( ! [X12: poly_real,X23: list_poly_real] :
( ( P3 @ X23 )
=> ( P3 @ ( cons_poly_real @ X12 @ X23 ) ) )
=> ( P3 @ List ) ) ) )
= $true ),
inference(copy,[status(thm)],[378]) ).
thf(453,plain,
( ( ! [Y: list_poly_real] :
( ( Y != nil_poly_real )
=> ~ ! [X213: poly_real,X223: list_poly_real] :
( Y
!= ( cons_poly_real @ X213 @ X223 ) ) ) )
= $true ),
inference(copy,[status(thm)],[377]) ).
thf(454,plain,
( ( ! [List: list_poly_real,X21: poly_real,X22: list_poly_real] :
( ( List
= ( cons_poly_real @ X21 @ X22 ) )
=> ( List != nil_poly_real ) ) )
= $true ),
inference(copy,[status(thm)],[376]) ).
thf(455,plain,
( ( ! [X21: poly_real,X22: list_poly_real] :
( nil_poly_real
!= ( cons_poly_real @ X21 @ X22 ) ) )
= $true ),
inference(copy,[status(thm)],[375]) ).
thf(456,plain,
( ( ! [P3: list_poly_real > list_poly_real > $o,A0: list_poly_real,A12: list_poly_real] :
( ! [X3: poly_real,Xs2: list_poly_real,Y2: poly_real,Ys2: list_poly_real] :
( ( P3 @ Xs2 @ Ys2 )
=> ( P3 @ ( cons_poly_real @ X3 @ Xs2 ) @ ( cons_poly_real @ Y2 @ Ys2 ) ) )
=> ( ! [Xs2: list_poly_real] : ( P3 @ Xs2 @ nil_poly_real )
=> ( ! [Y2: poly_real,Ys2: list_poly_real] : ( P3 @ nil_poly_real @ ( cons_poly_real @ Y2 @ Ys2 ) )
=> ( P3 @ A0 @ A12 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[374]) ).
thf(457,plain,
( ( ! [P3: list_poly_real > list_poly_real > $o,A0: list_poly_real,A12: list_poly_real] :
( ! [Xs2: list_poly_real] : ( P3 @ Xs2 @ nil_poly_real )
=> ( ! [V: poly_real,Va: list_poly_real] : ( P3 @ nil_poly_real @ ( cons_poly_real @ V @ Va ) )
=> ( ! [X3: poly_real,Xs2: list_poly_real,Y2: poly_real,Ys2: list_poly_real] :
( ( P3 @ Xs2 @ Ys2 )
=> ( P3 @ ( cons_poly_real @ X3 @ Xs2 ) @ ( cons_poly_real @ Y2 @ Ys2 ) ) )
=> ( P3 @ A0 @ A12 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[373]) ).
thf(458,plain,
( ( ! [Xs: list_poly_real] :
( ( append_poly_real @ Xs @ nil_poly_real )
= Xs ) )
= $true ),
inference(copy,[status(thm)],[372]) ).
thf(459,plain,
( ( ! [Xs: list_poly_real,Ys: list_poly_real] :
( ( ( append_poly_real @ Xs @ Ys )
= Xs )
= ( Ys = nil_poly_real ) ) )
= $true ),
inference(copy,[status(thm)],[371]) ).
thf(460,plain,
( ( ! [Xs: list_poly_real,Ys: list_poly_real] :
( ( Xs
= ( append_poly_real @ Xs @ Ys ) )
= ( Ys = nil_poly_real ) ) )
= $true ),
inference(copy,[status(thm)],[370]) ).
thf(461,plain,
( ( ! [Xs: list_poly_real,Ys: list_poly_real] :
( ( ( append_poly_real @ Xs @ Ys )
= Ys )
= ( Xs = nil_poly_real ) ) )
= $true ),
inference(copy,[status(thm)],[369]) ).
thf(462,plain,
( ( ! [Ys: list_poly_real,Xs: list_poly_real] :
( ( Ys
= ( append_poly_real @ Xs @ Ys ) )
= ( Xs = nil_poly_real ) ) )
= $true ),
inference(copy,[status(thm)],[368]) ).
thf(463,plain,
( ( ! [Xs: list_poly_real,Ys: list_poly_real] :
( ( nil_poly_real
= ( append_poly_real @ Xs @ Ys ) )
= ( ( Xs = nil_poly_real )
& ( Ys = nil_poly_real ) ) ) )
= $true ),
inference(copy,[status(thm)],[367]) ).
thf(464,plain,
( ( ! [Xs: list_poly_real,Ys: list_poly_real] :
( ( ( append_poly_real @ Xs @ Ys )
= nil_poly_real )
= ( ( Xs = nil_poly_real )
& ( Ys = nil_poly_real ) ) ) )
= $true ),
inference(copy,[status(thm)],[366]) ).
thf(465,plain,
( ( ! [A3: list_poly_real] :
( ( append_poly_real @ A3 @ nil_poly_real )
= A3 ) )
= $true ),
inference(copy,[status(thm)],[365]) ).
thf(466,plain,
( ( ! [Xs: list_poly_real] :
( ( ord_le1233681790y_real @ Xs @ nil_poly_real )
= ( Xs = nil_poly_real ) ) )
= $true ),
inference(copy,[status(thm)],[364]) ).
thf(467,plain,
( ( ! [Ys: list_poly_real] : ( ord_le1233681790y_real @ nil_poly_real @ Ys ) )
= $true ),
inference(copy,[status(thm)],[363]) ).
thf(468,plain,
( ( ! [Xs: list_poly_real,Ys: list_poly_real] :
( ( Xs = Ys )
=> ( Xs
= ( append_poly_real @ nil_poly_real @ Ys ) ) ) )
= $true ),
inference(copy,[status(thm)],[362]) ).
thf(469,plain,
( ( ! [Ys: list_poly_real] :
( ( append_poly_real @ nil_poly_real @ Ys )
= Ys ) )
= $true ),
inference(copy,[status(thm)],[361]) ).
thf(470,plain,
( ( ! [A3: list_poly_real] :
( ( append_poly_real @ nil_poly_real @ A3 )
= A3 ) )
= $true ),
inference(copy,[status(thm)],[360]) ).
thf(471,plain,
( ( ! [Ys: list_poly_real] : ( ord_le1233681790y_real @ nil_poly_real @ Ys ) )
= $true ),
inference(copy,[status(thm)],[359]) ).
thf(472,plain,
( ( ( butlast_poly_real @ nil_poly_real )
= nil_poly_real )
= $true ),
inference(copy,[status(thm)],[358]) ).
thf(473,plain,
( ( ! [Xs: list_poly_real] :
( ( plus_c288199817y_real @ Xs @ nil_poly_real )
= Xs ) )
= $true ),
inference(copy,[status(thm)],[357]) ).
thf(474,plain,
( ( ! [N: nat,Xs: list_poly_real] :
( ( ( rotate_poly_real @ N @ Xs )
= nil_poly_real )
= ( Xs = nil_poly_real ) ) )
= $true ),
inference(copy,[status(thm)],[356]) ).
thf(475,plain,
( ( ! [F: poly_real > poly_real,A3: list_poly_real] :
( ( ( map_po2132607150y_real @ F @ A3 )
= nil_poly_real )
= ( A3 = nil_poly_real ) ) )
= $true ),
inference(copy,[status(thm)],[355]) ).
thf(476,plain,
( ( ! [F: poly_real > poly_real,Xs: list_poly_real] :
( ( ( map_po2132607150y_real @ F @ Xs )
= nil_poly_real )
= ( Xs = nil_poly_real ) ) )
= $true ),
inference(copy,[status(thm)],[354]) ).
thf(477,plain,
( ( ! [F: poly_real > poly_real,Xs: list_poly_real] :
( ( nil_poly_real
= ( map_po2132607150y_real @ F @ Xs ) )
= ( Xs = nil_poly_real ) ) )
= $true ),
inference(copy,[status(thm)],[353]) ).
thf(478,plain,
( ( sturm_891428828rm_seq @ nil_poly_real )
= $true ),
inference(copy,[status(thm)],[415]) ).
thf(479,plain,
( ( ! [SX0: list_poly_real] :
( ( SX0 != nil_poly_real )
= ( ~ ! [SX1: poly_real] :
~ ~ ! [SX2: list_poly_real] :
( SX0
!= ( cons_poly_real @ SX1 @ SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[451]) ).
thf(480,plain,
( ( ! [SX0: poly_real,SX1: list_poly_real] :
( nil_poly_real
!= ( cons_poly_real @ SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[455]) ).
thf(481,plain,
( ( ! [SX0: list_poly_real > $o,SX1: list_poly_real] :
( ~ ( SX0 @ nil_poly_real )
| ~ ! [SX2: poly_real] : ( SX0 @ ( cons_poly_real @ SX2 @ nil_poly_real ) )
| ~ ! [SX2: poly_real,SX3: poly_real,SX4: list_poly_real] :
( ~ ( ( SX2 != SX3 )
| ( SX0 @ ( cons_poly_real @ SX2 @ SX4 ) ) )
| ~ ( ~ ( ( SX2 != SX3 ) )
| ( SX0 @ ( cons_poly_real @ SX3 @ SX4 ) ) )
| ( SX0 @ ( cons_poly_real @ SX2 @ ( cons_poly_real @ SX3 @ SX4 ) ) ) )
| ( SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[442]) ).
thf(482,plain,
( ( ! [SX0: list_poly_real,SX1: list_poly_real] :
( ( SX0 != SX1 )
| ( SX0
= ( append_poly_real @ nil_poly_real @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[468]) ).
thf(483,plain,
( ( ! [SX0: list_poly_real] :
( ~ ( ( SX0 != nil_poly_real ) )
| ~ ! [SX1: poly_real,SX2: list_poly_real] :
( SX0
!= ( cons_poly_real @ SX1 @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[438]) ).
thf(484,plain,
( ( ! [SX0: list_poly_real > list_poly_real > $o,SX1: list_poly_real,SX2: list_poly_real] :
( ~ ! [SX3: list_poly_real] : ( SX0 @ nil_poly_real @ SX3 )
| ~ ! [SX3: list_poly_real] : ( SX0 @ SX3 @ nil_poly_real )
| ~ ! [SX3: poly_real,SX4: list_poly_real,SX5: poly_real,SX6: list_poly_real] :
( ~ ( SX0 @ SX4 @ ( cons_poly_real @ SX5 @ SX6 ) )
| ~ ( SX0 @ ( cons_poly_real @ SX3 @ SX4 ) @ SX6 )
| ( SX0 @ ( cons_poly_real @ SX3 @ SX4 ) @ ( cons_poly_real @ SX5 @ SX6 ) ) )
| ( SX0 @ SX1 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[445]) ).
thf(485,plain,
( ( ! [SX0: list_poly_real > list_poly_real > $o,SX1: list_poly_real,SX2: list_poly_real] :
( ~ ( SX0 @ nil_poly_real @ nil_poly_real )
| ~ ! [SX3: poly_real,SX4: list_poly_real] : ( SX0 @ ( cons_poly_real @ SX3 @ SX4 ) @ nil_poly_real )
| ~ ! [SX3: poly_real,SX4: list_poly_real] : ( SX0 @ nil_poly_real @ ( cons_poly_real @ SX3 @ SX4 ) )
| ~ ! [SX3: poly_real,SX4: list_poly_real,SX5: poly_real,SX6: list_poly_real] :
( ~ ( SX0 @ SX4 @ SX6 )
| ( SX0 @ ( cons_poly_real @ SX3 @ SX4 ) @ ( cons_poly_real @ SX5 @ SX6 ) ) )
| ( SX0 @ SX1 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[450]) ).
thf(486,plain,
( ( ! [SX0: ( poly_real > poly_real > $o ) > list_poly_real > $o,SX1: poly_real > poly_real > $o,SX2: list_poly_real] :
( ~ ! [SX3: poly_real > poly_real > $o] : ( SX0 @ SX3 @ nil_poly_real )
| ~ ! [SX3: poly_real > poly_real > $o,SX4: poly_real,SX5: list_poly_real] :
( ~ ( SX0 @ SX3 @ SX5 )
| ( SX0 @ SX3 @ ( cons_poly_real @ SX4 @ SX5 ) ) )
| ( SX0 @ SX1 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[443]) ).
thf(487,plain,
( ( ! [SX0: list_poly_real > list_poly_real > $o,SX1: list_poly_real,SX2: list_poly_real] :
( ~ ! [SX3: poly_real,SX4: list_poly_real,SX5: poly_real,SX6: list_poly_real] :
( ~ ( SX0 @ SX4 @ SX6 )
| ( SX0 @ ( cons_poly_real @ SX3 @ SX4 ) @ ( cons_poly_real @ SX5 @ SX6 ) ) )
| ~ ! [SX3: list_poly_real] : ( SX0 @ SX3 @ nil_poly_real )
| ~ ! [SX3: poly_real,SX4: list_poly_real] : ( SX0 @ nil_poly_real @ ( cons_poly_real @ SX3 @ SX4 ) )
| ( SX0 @ SX1 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[456]) ).
thf(488,plain,
( ( ! [SX0: list_poly_real,SX1: list_poly_real > $o] :
( ~ ( ( SX0 != nil_poly_real ) )
| ~ ! [SX2: poly_real] : ( SX1 @ ( cons_poly_real @ SX2 @ nil_poly_real ) )
| ~ ! [SX2: poly_real,SX3: list_poly_real] :
( ~ ( ( SX3 != nil_poly_real ) )
| ~ ( SX1 @ SX3 )
| ( SX1 @ ( cons_poly_real @ SX2 @ SX3 ) ) )
| ( SX1 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[440]) ).
thf(489,plain,
( ( ! [SX0: list_poly_real,SX1: poly_real,SX2: list_poly_real] :
( ( SX0
!= ( cons_poly_real @ SX1 @ SX2 ) )
| ( SX0 != nil_poly_real ) ) )
= $true ),
inference(unfold_def,[status(thm)],[454]) ).
thf(490,plain,
( ( ! [SX0: list_poly_real,SX1: list_poly_real] :
( ( nil_poly_real
= ( append_poly_real @ SX0 @ SX1 ) )
= ( ~ ( ( SX0 != nil_poly_real )
| ( SX1 != nil_poly_real ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[463]) ).
thf(491,plain,
( ( ! [SX0: list_poly_real > $o,SX1: list_poly_real] :
( ~ ( SX0 @ nil_poly_real )
| ~ ! [SX2: poly_real] : ( SX0 @ ( cons_poly_real @ SX2 @ nil_poly_real ) )
| ~ ! [SX2: poly_real,SX3: poly_real,SX4: list_poly_real] :
( ~ ( SX0 @ SX4 )
| ~ ( SX0 @ ( cons_poly_real @ SX3 @ SX4 ) )
| ( SX0 @ ( cons_poly_real @ SX2 @ ( cons_poly_real @ SX3 @ SX4 ) ) ) )
| ( SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[448]) ).
thf(492,plain,
( ( ! [SX0: list_poly_real,SX1: list_poly_real] :
( ( ( splice_poly_real @ SX0 @ SX1 )
= nil_poly_real )
= ( ~ ( ( SX0 != nil_poly_real )
| ( SX1 != nil_poly_real ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[428]) ).
thf(493,plain,
( ( ! [SX0: list_poly_real] :
( ~ ( ( SX0 != nil_poly_real ) )
| ~ ! [SX1: poly_real] :
( SX0
!= ( cons_poly_real @ SX1 @ nil_poly_real ) )
| ~ ! [SX1: poly_real,SX2: poly_real,SX3: list_poly_real] :
( SX0
!= ( cons_poly_real @ SX1 @ ( cons_poly_real @ SX2 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[444]) ).
thf(494,plain,
( ( ! [SX0: list_poly_real] :
( ~ ( ( SX0 != nil_poly_real ) )
| ~ ! [SX1: poly_real,SX2: list_poly_real] :
( SX0
!= ( cons_poly_real @ SX1 @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[453]) ).
thf(495,plain,
( ( ! [SX0: list_poly_real > $o,SX1: list_poly_real] :
( ~ ( SX0 @ nil_poly_real )
| ~ ! [SX2: poly_real,SX3: list_poly_real] :
( ~ ( SX0 @ SX3 )
| ( SX0 @ ( cons_poly_real @ SX2 @ SX3 ) ) )
| ( SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[452]) ).
thf(496,plain,
( ( ! [SX0: list_poly_real,SX1: list_poly_real] :
( ( ( append_poly_real @ SX0 @ SX1 )
= nil_poly_real )
= ( ~ ( ( SX0 != nil_poly_real )
| ( SX1 != nil_poly_real ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[464]) ).
thf(497,plain,
( ( ! [SX0: list_poly_real] :
( ~ ! [SX1: poly_real,SX2: list_poly_real] :
( SX0
!= ( cons_poly_real @ SX1 @ SX2 ) )
| ( SX0 = nil_poly_real ) ) )
= $true ),
inference(unfold_def,[status(thm)],[447]) ).
thf(498,plain,
( ( ! [SX0: list_poly_real > list_poly_real > $o,SX1: list_poly_real,SX2: list_poly_real] :
( ~ ! [SX3: list_poly_real] : ( SX0 @ SX3 @ nil_poly_real )
| ~ ! [SX3: poly_real,SX4: list_poly_real] : ( SX0 @ nil_poly_real @ ( cons_poly_real @ SX3 @ SX4 ) )
| ~ ! [SX3: poly_real,SX4: list_poly_real,SX5: poly_real,SX6: list_poly_real] :
( ~ ( SX0 @ SX4 @ SX6 )
| ( SX0 @ ( cons_poly_real @ SX3 @ SX4 ) @ ( cons_poly_real @ SX5 @ SX6 ) ) )
| ( SX0 @ SX1 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[457]) ).
thf(499,plain,
( ( ! [SX0: list_poly_real > $o,SX1: list_poly_real] :
( ~ ! [SX2: poly_real,SX3: list_poly_real] :
( ~ ! [SX4: poly_real,SX5: list_poly_real] :
( ( SX3
!= ( cons_poly_real @ SX4 @ SX5 ) )
| ( SX0 @ SX3 ) )
| ( SX0 @ ( cons_poly_real @ SX2 @ SX3 ) ) )
| ~ ( SX0 @ nil_poly_real )
| ( SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[446]) ).
thf(500,plain,
( ( ! [SX0: list_poly_real,SX1: poly_real] :
( ~ ( sturm_1664866327rm_seq @ SX0 @ SX1 )
| ( sturm_891428828rm_seq @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[417]) ).
thf(501,plain,
( ( ! [SX0: ( poly_real > poly_real > $o ) > list_poly_real > $o,SX1: poly_real > poly_real > $o,SX2: list_poly_real] :
( ~ ! [SX3: poly_real > poly_real > $o] : ( SX0 @ SX3 @ nil_poly_real )
| ~ ! [SX3: poly_real > poly_real > $o,SX4: poly_real] : ( SX0 @ SX3 @ ( cons_poly_real @ SX4 @ nil_poly_real ) )
| ~ ! [SX3: poly_real > poly_real > $o,SX4: poly_real,SX5: poly_real,SX6: list_poly_real] :
( ~ ( SX0 @ SX3 @ ( cons_poly_real @ SX5 @ SX6 ) )
| ( SX0 @ SX3 @ ( cons_poly_real @ SX4 @ ( cons_poly_real @ SX5 @ SX6 ) ) ) )
| ( SX0 @ SX1 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[441]) ).
thf(502,plain,
( ( ! [SX0: list_poly_real] :
( ~ ( sturm_891428828rm_seq @ SX0 )
| ( SX0 != nil_poly_real ) ) )
= $true ),
inference(unfold_def,[status(thm)],[416]) ).
thf(503,plain,
( ( ! [SX0: list_poly_real > list_poly_real > $o,SX1: list_poly_real,SX2: list_poly_real] :
( ~ ! [SX3: list_poly_real] : ( SX0 @ nil_poly_real @ SX3 )
| ~ ! [SX3: poly_real,SX4: list_poly_real,SX5: list_poly_real] :
( ~ ( SX0 @ SX5 @ SX4 )
| ( SX0 @ ( cons_poly_real @ SX3 @ SX4 ) @ SX5 ) )
| ( SX0 @ SX1 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[449]) ).
thf(504,plain,
( ( ! [SX0: list_poly_real > $o,SX1: list_poly_real] :
( ~ ( SX0 @ nil_poly_real )
| ~ ! [SX2: poly_real,SX3: list_poly_real] :
( ~ ( SX0 @ SX3 )
| ( SX0 @ ( cons_poly_real @ SX2 @ SX3 ) ) )
| ( SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[437]) ).
thf(505,plain,
( ( ! [SX0: ( poly_real > poly_real ) > list_poly_real > list_poly_real > $o,SX1: poly_real > poly_real,SX2: list_poly_real,SX3: list_poly_real] :
( ~ ! [SX4: poly_real > poly_real,SX5: list_poly_real] : ( SX0 @ SX4 @ nil_poly_real @ SX5 )
| ~ ! [SX4: poly_real > poly_real,SX5: poly_real,SX6: list_poly_real,SX7: list_poly_real] :
( ~ ( SX0 @ SX4 @ SX6 @ ( cons_poly_real @ ( SX4 @ SX5 ) @ SX7 ) )
| ( SX0 @ SX4 @ ( cons_poly_real @ SX5 @ SX6 ) @ SX7 ) )
| ( SX0 @ SX1 @ SX2 @ SX3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[439]) ).
thf(506,plain,
! [SV1: poly_real > $o] :
( ( ~ ( list_ex1_poly_real @ SV1 @ nil_poly_real ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[418]) ).
thf(507,plain,
! [SV2: poly_real > list_poly_real] :
( ( ( bind_p420216945y_real @ nil_poly_real @ SV2 )
= nil_poly_real )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[419]) ).
thf(508,plain,
! [SV3: poly_real] :
( ( ~ ( member_poly_real @ nil_poly_real @ SV3 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[420]) ).
thf(509,plain,
! [SV4: nat] :
( ( ( gen_length_poly_real @ SV4 @ nil_poly_real )
= SV4 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[421]) ).
thf(510,plain,
! [SV5: poly_real > list_poly_real] :
( ( ( maps_p961674027y_real @ SV5 @ nil_poly_real )
= nil_poly_real )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[422]) ).
thf(511,plain,
! [SV6: poly_real > option_poly_real] :
( ( ( map_fi1183202740y_real @ SV6 @ nil_poly_real )
= nil_poly_real )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[423]) ).
thf(512,plain,
! [SV7: list_poly_real] :
( ( ( SV7 = nil_poly_real )
= ( null_poly_real @ SV7 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[425]) ).
thf(513,plain,
! [SV8: poly_real > $o] :
( ( ~ ( list_ex_poly_real @ SV8 @ nil_poly_real ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[426]) ).
thf(514,plain,
! [SV9: list_poly_real] :
( ( ( ( rotate1_poly_real @ SV9 )
= nil_poly_real )
= ( SV9 = nil_poly_real ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[427]) ).
thf(515,plain,
! [SV10: list_poly_real] :
( ( ( splice_poly_real @ SV10 @ nil_poly_real )
= SV10 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[429]) ).
thf(516,plain,
! [SV11: poly_real > poly_real] :
( ( ! [SY182: list_poly_real] :
( ( map_ta1919289823y_real @ SV11 @ nil_poly_real @ SY182 )
= SY182 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[430]) ).
thf(517,plain,
! [SV12: poly_real > poly_real > $o] :
( ( ! [SY183: list_poly_real] : ( lexordp_eq_poly_real @ SV12 @ nil_poly_real @ SY183 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[431]) ).
thf(518,plain,
! [SV13: poly_real > poly_real > $o] :
( ( ! [SY184: list_poly_real] :
( ( lexordp_eq_poly_real @ SV13 @ SY184 @ nil_poly_real )
= ( SY184 = nil_poly_real ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[432]) ).
thf(519,plain,
! [SV14: poly_real > poly_real > $o] :
( ( listre1609905961y_real @ SV14 @ nil_poly_real @ nil_poly_real )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[433]) ).
thf(520,plain,
! [SV15: poly_real > poly_real > $o] :
( ( ! [SY185: list_poly_real] : ( lexordp_eq_poly_real @ SV15 @ nil_poly_real @ SY185 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[434]) ).
thf(521,plain,
! [SV16: list_poly_real] :
( ( ( splice_poly_real @ nil_poly_real @ SV16 )
= SV16 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[435]) ).
thf(522,plain,
! [SV17: list_poly_real] :
( ( ( append_poly_real @ SV17 @ nil_poly_real )
= SV17 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[458]) ).
thf(523,plain,
! [SV18: list_poly_real] :
( ( ! [SY186: list_poly_real] :
( ( ( append_poly_real @ SV18 @ SY186 )
= SV18 )
= ( SY186 = nil_poly_real ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[459]) ).
thf(524,plain,
! [SV19: list_poly_real] :
( ( ! [SY187: list_poly_real] :
( ( SV19
= ( append_poly_real @ SV19 @ SY187 ) )
= ( SY187 = nil_poly_real ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[460]) ).
thf(525,plain,
! [SV20: list_poly_real] :
( ( ! [SY188: list_poly_real] :
( ( ( append_poly_real @ SV20 @ SY188 )
= SY188 )
= ( SV20 = nil_poly_real ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[461]) ).
thf(526,plain,
! [SV21: list_poly_real] :
( ( ! [SY189: list_poly_real] :
( ( SV21
= ( append_poly_real @ SY189 @ SV21 ) )
= ( SY189 = nil_poly_real ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[462]) ).
thf(527,plain,
! [SV22: list_poly_real] :
( ( ( append_poly_real @ SV22 @ nil_poly_real )
= SV22 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[465]) ).
thf(528,plain,
! [SV23: list_poly_real] :
( ( ( ord_le1233681790y_real @ SV23 @ nil_poly_real )
= ( SV23 = nil_poly_real ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[466]) ).
thf(529,plain,
! [SV24: list_poly_real] :
( ( ord_le1233681790y_real @ nil_poly_real @ SV24 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[467]) ).
thf(530,plain,
! [SV25: list_poly_real] :
( ( ( append_poly_real @ nil_poly_real @ SV25 )
= SV25 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[469]) ).
thf(531,plain,
! [SV26: list_poly_real] :
( ( ( append_poly_real @ nil_poly_real @ SV26 )
= SV26 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[470]) ).
thf(532,plain,
! [SV27: list_poly_real] :
( ( ord_le1233681790y_real @ nil_poly_real @ SV27 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[471]) ).
thf(533,plain,
! [SV28: list_poly_real] :
( ( ( plus_c288199817y_real @ SV28 @ nil_poly_real )
= SV28 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[473]) ).
thf(534,plain,
! [SV29: nat] :
( ( ! [SY190: list_poly_real] :
( ( ( rotate_poly_real @ SV29 @ SY190 )
= nil_poly_real )
= ( SY190 = nil_poly_real ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[474]) ).
thf(535,plain,
! [SV30: poly_real > poly_real] :
( ( ! [SY191: list_poly_real] :
( ( ( map_po2132607150y_real @ SV30 @ SY191 )
= nil_poly_real )
= ( SY191 = nil_poly_real ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[475]) ).
thf(536,plain,
! [SV31: poly_real > poly_real] :
( ( ! [SY192: list_poly_real] :
( ( ( map_po2132607150y_real @ SV31 @ SY192 )
= nil_poly_real )
= ( SY192 = nil_poly_real ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[476]) ).
thf(537,plain,
! [SV32: poly_real > poly_real] :
( ( ! [SY193: list_poly_real] :
( ( nil_poly_real
= ( map_po2132607150y_real @ SV32 @ SY193 ) )
= ( SY193 = nil_poly_real ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[477]) ).
thf(538,plain,
! [SV33: list_poly_real] :
( ( ( SV33 != nil_poly_real )
= ( ~ ! [SY194: poly_real] :
~ ~ ! [SY195: list_poly_real] :
( SV33
!= ( cons_poly_real @ SY194 @ SY195 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[479]) ).
thf(539,plain,
! [SV34: poly_real] :
( ( ! [SY196: list_poly_real] :
( nil_poly_real
!= ( cons_poly_real @ SV34 @ SY196 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[480]) ).
thf(540,plain,
! [SV35: list_poly_real > $o] :
( ( ! [SY197: list_poly_real] :
( ~ ( SV35 @ nil_poly_real )
| ~ ! [SY198: poly_real] : ( SV35 @ ( cons_poly_real @ SY198 @ nil_poly_real ) )
| ~ ! [SY199: poly_real,SY200: poly_real,SY201: list_poly_real] :
( ~ ( ( SY199 != SY200 )
| ( SV35 @ ( cons_poly_real @ SY199 @ SY201 ) ) )
| ~ ( ~ ( ( SY199 != SY200 ) )
| ( SV35 @ ( cons_poly_real @ SY200 @ SY201 ) ) )
| ( SV35 @ ( cons_poly_real @ SY199 @ ( cons_poly_real @ SY200 @ SY201 ) ) ) )
| ( SV35 @ SY197 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[481]) ).
thf(541,plain,
! [SV36: list_poly_real] :
( ( ! [SY202: list_poly_real] :
( ( SV36 != SY202 )
| ( SV36
= ( append_poly_real @ nil_poly_real @ SY202 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[482]) ).
thf(542,plain,
! [SV37: list_poly_real] :
( ( ~ ( ( SV37 != nil_poly_real ) )
| ~ ! [SY203: poly_real,SY204: list_poly_real] :
( SV37
!= ( cons_poly_real @ SY203 @ SY204 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[483]) ).
thf(543,plain,
! [SV38: list_poly_real > list_poly_real > $o] :
( ( ! [SY205: list_poly_real,SY206: list_poly_real] :
( ~ ! [SY207: list_poly_real] : ( SV38 @ nil_poly_real @ SY207 )
| ~ ! [SY208: list_poly_real] : ( SV38 @ SY208 @ nil_poly_real )
| ~ ! [SY209: poly_real,SY210: list_poly_real,SY211: poly_real,SY212: list_poly_real] :
( ~ ( SV38 @ SY210 @ ( cons_poly_real @ SY211 @ SY212 ) )
| ~ ( SV38 @ ( cons_poly_real @ SY209 @ SY210 ) @ SY212 )
| ( SV38 @ ( cons_poly_real @ SY209 @ SY210 ) @ ( cons_poly_real @ SY211 @ SY212 ) ) )
| ( SV38 @ SY205 @ SY206 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[484]) ).
thf(544,plain,
! [SV39: list_poly_real > list_poly_real > $o] :
( ( ! [SY213: list_poly_real,SY214: list_poly_real] :
( ~ ( SV39 @ nil_poly_real @ nil_poly_real )
| ~ ! [SY215: poly_real,SY216: list_poly_real] : ( SV39 @ ( cons_poly_real @ SY215 @ SY216 ) @ nil_poly_real )
| ~ ! [SY217: poly_real,SY218: list_poly_real] : ( SV39 @ nil_poly_real @ ( cons_poly_real @ SY217 @ SY218 ) )
| ~ ! [SY219: poly_real,SY220: list_poly_real,SY221: poly_real,SY222: list_poly_real] :
( ~ ( SV39 @ SY220 @ SY222 )
| ( SV39 @ ( cons_poly_real @ SY219 @ SY220 ) @ ( cons_poly_real @ SY221 @ SY222 ) ) )
| ( SV39 @ SY213 @ SY214 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[485]) ).
thf(545,plain,
! [SV40: ( poly_real > poly_real > $o ) > list_poly_real > $o] :
( ( ! [SY223: poly_real > poly_real > $o,SY224: list_poly_real] :
( ~ ! [SY225: poly_real > poly_real > $o] : ( SV40 @ SY225 @ nil_poly_real )
| ~ ! [SY226: poly_real > poly_real > $o,SY227: poly_real,SY228: list_poly_real] :
( ~ ( SV40 @ SY226 @ SY228 )
| ( SV40 @ SY226 @ ( cons_poly_real @ SY227 @ SY228 ) ) )
| ( SV40 @ SY223 @ SY224 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[486]) ).
thf(546,plain,
! [SV41: list_poly_real > list_poly_real > $o] :
( ( ! [SY229: list_poly_real,SY230: list_poly_real] :
( ~ ! [SY231: poly_real,SY232: list_poly_real,SY233: poly_real,SY234: list_poly_real] :
( ~ ( SV41 @ SY232 @ SY234 )
| ( SV41 @ ( cons_poly_real @ SY231 @ SY232 ) @ ( cons_poly_real @ SY233 @ SY234 ) ) )
| ~ ! [SY235: list_poly_real] : ( SV41 @ SY235 @ nil_poly_real )
| ~ ! [SY236: poly_real,SY237: list_poly_real] : ( SV41 @ nil_poly_real @ ( cons_poly_real @ SY236 @ SY237 ) )
| ( SV41 @ SY229 @ SY230 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[487]) ).
thf(547,plain,
! [SV42: list_poly_real] :
( ( ! [SY238: list_poly_real > $o] :
( ~ ( ( SV42 != nil_poly_real ) )
| ~ ! [SX2: poly_real] : ( SY238 @ ( cons_poly_real @ SX2 @ nil_poly_real ) )
| ~ ! [SX2: poly_real,SX3: list_poly_real] :
( ~ ( ( SX3 != nil_poly_real ) )
| ~ ( SY238 @ SX3 )
| ( SY238 @ ( cons_poly_real @ SX2 @ SX3 ) ) )
| ( SY238 @ SV42 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[488]) ).
thf(548,plain,
! [SV43: list_poly_real] :
( ( ! [SY242: poly_real,SY243: list_poly_real] :
( ( SV43
!= ( cons_poly_real @ SY242 @ SY243 ) )
| ( SV43 != nil_poly_real ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[489]) ).
thf(549,plain,
! [SV44: list_poly_real] :
( ( ! [SY244: list_poly_real] :
( ( nil_poly_real
= ( append_poly_real @ SV44 @ SY244 ) )
= ( ~ ( ( SV44 != nil_poly_real )
| ( SY244 != nil_poly_real ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[490]) ).
thf(550,plain,
! [SV45: list_poly_real > $o] :
( ( ! [SY245: list_poly_real] :
( ~ ( SV45 @ nil_poly_real )
| ~ ! [SY246: poly_real] : ( SV45 @ ( cons_poly_real @ SY246 @ nil_poly_real ) )
| ~ ! [SY247: poly_real,SY248: poly_real,SY249: list_poly_real] :
( ~ ( SV45 @ SY249 )
| ~ ( SV45 @ ( cons_poly_real @ SY248 @ SY249 ) )
| ( SV45 @ ( cons_poly_real @ SY247 @ ( cons_poly_real @ SY248 @ SY249 ) ) ) )
| ( SV45 @ SY245 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[491]) ).
thf(551,plain,
! [SV46: list_poly_real] :
( ( ! [SY250: list_poly_real] :
( ( ( splice_poly_real @ SV46 @ SY250 )
= nil_poly_real )
= ( ~ ( ( SV46 != nil_poly_real )
| ( SY250 != nil_poly_real ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[492]) ).
thf(552,plain,
! [SV47: list_poly_real] :
( ( ~ ( ( SV47 != nil_poly_real ) )
| ~ ! [SY251: poly_real] :
( SV47
!= ( cons_poly_real @ SY251 @ nil_poly_real ) )
| ~ ! [SY252: poly_real,SY253: poly_real,SY254: list_poly_real] :
( SV47
!= ( cons_poly_real @ SY252 @ ( cons_poly_real @ SY253 @ SY254 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[493]) ).
thf(553,plain,
! [SV48: list_poly_real] :
( ( ~ ( ( SV48 != nil_poly_real ) )
| ~ ! [SY255: poly_real,SY256: list_poly_real] :
( SV48
!= ( cons_poly_real @ SY255 @ SY256 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[494]) ).
thf(554,plain,
! [SV49: list_poly_real > $o] :
( ( ! [SY257: list_poly_real] :
( ~ ( SV49 @ nil_poly_real )
| ~ ! [SY258: poly_real,SY259: list_poly_real] :
( ~ ( SV49 @ SY259 )
| ( SV49 @ ( cons_poly_real @ SY258 @ SY259 ) ) )
| ( SV49 @ SY257 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[495]) ).
thf(555,plain,
! [SV50: list_poly_real] :
( ( ! [SY260: list_poly_real] :
( ( ( append_poly_real @ SV50 @ SY260 )
= nil_poly_real )
= ( ~ ( ( SV50 != nil_poly_real )
| ( SY260 != nil_poly_real ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[496]) ).
thf(556,plain,
! [SV51: list_poly_real] :
( ( ~ ! [SY261: poly_real,SY262: list_poly_real] :
( SV51
!= ( cons_poly_real @ SY261 @ SY262 ) )
| ( SV51 = nil_poly_real ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[497]) ).
thf(557,plain,
! [SV52: list_poly_real > list_poly_real > $o] :
( ( ! [SY263: list_poly_real,SY264: list_poly_real] :
( ~ ! [SY265: list_poly_real] : ( SV52 @ SY265 @ nil_poly_real )
| ~ ! [SY266: poly_real,SY267: list_poly_real] : ( SV52 @ nil_poly_real @ ( cons_poly_real @ SY266 @ SY267 ) )
| ~ ! [SY268: poly_real,SY269: list_poly_real,SY270: poly_real,SY271: list_poly_real] :
( ~ ( SV52 @ SY269 @ SY271 )
| ( SV52 @ ( cons_poly_real @ SY268 @ SY269 ) @ ( cons_poly_real @ SY270 @ SY271 ) ) )
| ( SV52 @ SY263 @ SY264 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[498]) ).
thf(558,plain,
! [SV53: list_poly_real > $o] :
( ( ! [SY272: list_poly_real] :
( ~ ! [SY273: poly_real,SY274: list_poly_real] :
( ~ ! [SY275: poly_real,SY276: list_poly_real] :
( ( SY274
!= ( cons_poly_real @ SY275 @ SY276 ) )
| ( SV53 @ SY274 ) )
| ( SV53 @ ( cons_poly_real @ SY273 @ SY274 ) ) )
| ~ ( SV53 @ nil_poly_real )
| ( SV53 @ SY272 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[499]) ).
thf(559,plain,
! [SV54: list_poly_real] :
( ( ! [SY277: poly_real] :
( ~ ( sturm_1664866327rm_seq @ SV54 @ SY277 )
| ( sturm_891428828rm_seq @ SV54 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[500]) ).
thf(560,plain,
! [SV55: ( poly_real > poly_real > $o ) > list_poly_real > $o] :
( ( ! [SY278: poly_real > poly_real > $o,SY279: list_poly_real] :
( ~ ! [SY280: poly_real > poly_real > $o] : ( SV55 @ SY280 @ nil_poly_real )
| ~ ! [SY281: poly_real > poly_real > $o,SY282: poly_real] : ( SV55 @ SY281 @ ( cons_poly_real @ SY282 @ nil_poly_real ) )
| ~ ! [SY283: poly_real > poly_real > $o,SY284: poly_real,SY285: poly_real,SY286: list_poly_real] :
( ~ ( SV55 @ SY283 @ ( cons_poly_real @ SY285 @ SY286 ) )
| ( SV55 @ SY283 @ ( cons_poly_real @ SY284 @ ( cons_poly_real @ SY285 @ SY286 ) ) ) )
| ( SV55 @ SY278 @ SY279 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[501]) ).
thf(561,plain,
! [SV56: list_poly_real] :
( ( ~ ( sturm_891428828rm_seq @ SV56 )
| ( SV56 != nil_poly_real ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[502]) ).
thf(562,plain,
! [SV57: list_poly_real > list_poly_real > $o] :
( ( ! [SY287: list_poly_real,SY288: list_poly_real] :
( ~ ! [SY289: list_poly_real] : ( SV57 @ nil_poly_real @ SY289 )
| ~ ! [SY290: poly_real,SY291: list_poly_real,SY292: list_poly_real] :
( ~ ( SV57 @ SY292 @ SY291 )
| ( SV57 @ ( cons_poly_real @ SY290 @ SY291 ) @ SY292 ) )
| ( SV57 @ SY287 @ SY288 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[503]) ).
thf(563,plain,
! [SV58: list_poly_real > $o] :
( ( ! [SY293: list_poly_real] :
( ~ ( SV58 @ nil_poly_real )
| ~ ! [SY294: poly_real,SY295: list_poly_real] :
( ~ ( SV58 @ SY295 )
| ( SV58 @ ( cons_poly_real @ SY294 @ SY295 ) ) )
| ( SV58 @ SY293 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[504]) ).
thf(564,plain,
! [SV59: ( poly_real > poly_real ) > list_poly_real > list_poly_real > $o] :
( ( ! [SY296: poly_real > poly_real,SY297: list_poly_real,SY298: list_poly_real] :
( ~ ! [SY299: poly_real > poly_real,SY300: list_poly_real] : ( SV59 @ SY299 @ nil_poly_real @ SY300 )
| ~ ! [SY301: poly_real > poly_real,SY302: poly_real,SY303: list_poly_real,SY304: list_poly_real] :
( ~ ( SV59 @ SY301 @ SY303 @ ( cons_poly_real @ ( SY301 @ SY302 ) @ SY304 ) )
| ( SV59 @ SY301 @ ( cons_poly_real @ SY302 @ SY303 ) @ SY304 ) )
| ( SV59 @ SY296 @ SY297 @ SY298 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[505]) ).
thf(565,plain,
! [SV1: poly_real > $o] :
( ( list_ex1_poly_real @ SV1 @ nil_poly_real )
= $false ),
inference(extcnf_not_pos,[status(thm)],[506]) ).
thf(566,plain,
! [SV3: poly_real] :
( ( member_poly_real @ nil_poly_real @ SV3 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[508]) ).
thf(567,plain,
! [SV7: list_poly_real] :
( ( ~ ( ( SV7 = nil_poly_real )
| ( null_poly_real @ SV7 ) )
| ~ ( ( SV7 != nil_poly_real )
| ~ ( null_poly_real @ SV7 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[512]) ).
thf(568,plain,
! [SV7: list_poly_real] :
( ( ( SV7 = nil_poly_real )
= ( null_poly_real @ SV7 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[512]) ).
thf(569,plain,
! [SV8: poly_real > $o] :
( ( list_ex_poly_real @ SV8 @ nil_poly_real )
= $false ),
inference(extcnf_not_pos,[status(thm)],[513]) ).
thf(570,plain,
! [SV9: list_poly_real] :
( ( ~ ( ( ( rotate1_poly_real @ SV9 )
= nil_poly_real )
| ( SV9 = nil_poly_real ) )
| ~ ( ( ( rotate1_poly_real @ SV9 )
!= nil_poly_real )
| ( SV9 != nil_poly_real ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[514]) ).
thf(571,plain,
! [SV9: list_poly_real] :
( ( ( ( rotate1_poly_real @ SV9 )
= nil_poly_real )
= ( SV9 = nil_poly_real ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[514]) ).
thf(572,plain,
! [SV60: list_poly_real,SV11: poly_real > poly_real] :
( ( ( map_ta1919289823y_real @ SV11 @ nil_poly_real @ SV60 )
= SV60 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[516]) ).
thf(573,plain,
! [SV61: list_poly_real,SV12: poly_real > poly_real > $o] :
( ( lexordp_eq_poly_real @ SV12 @ nil_poly_real @ SV61 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[517]) ).
thf(574,plain,
! [SV62: list_poly_real,SV13: poly_real > poly_real > $o] :
( ( ( lexordp_eq_poly_real @ SV13 @ SV62 @ nil_poly_real )
= ( SV62 = nil_poly_real ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[518]) ).
thf(575,plain,
! [SV63: list_poly_real,SV15: poly_real > poly_real > $o] :
( ( lexordp_eq_poly_real @ SV15 @ nil_poly_real @ SV63 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[520]) ).
thf(576,plain,
! [SV64: list_poly_real,SV18: list_poly_real] :
( ( ( ( append_poly_real @ SV18 @ SV64 )
= SV18 )
= ( SV64 = nil_poly_real ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[523]) ).
thf(577,plain,
! [SV65: list_poly_real,SV19: list_poly_real] :
( ( ( SV19
= ( append_poly_real @ SV19 @ SV65 ) )
= ( SV65 = nil_poly_real ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[524]) ).
thf(578,plain,
! [SV66: list_poly_real,SV20: list_poly_real] :
( ( ( ( append_poly_real @ SV20 @ SV66 )
= SV66 )
= ( SV20 = nil_poly_real ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[525]) ).
thf(579,plain,
! [SV67: list_poly_real,SV21: list_poly_real] :
( ( ( SV21
= ( append_poly_real @ SV67 @ SV21 ) )
= ( SV67 = nil_poly_real ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[526]) ).
thf(580,plain,
! [SV23: list_poly_real] :
( ( ~ ( ( ord_le1233681790y_real @ SV23 @ nil_poly_real )
| ( SV23 = nil_poly_real ) )
| ~ ( ~ ( ord_le1233681790y_real @ SV23 @ nil_poly_real )
| ( SV23 != nil_poly_real ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[528]) ).
thf(581,plain,
! [SV23: list_poly_real] :
( ( ( ord_le1233681790y_real @ SV23 @ nil_poly_real )
= ( SV23 = nil_poly_real ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[528]) ).
thf(582,plain,
! [SV68: list_poly_real,SV29: nat] :
( ( ( ( rotate_poly_real @ SV29 @ SV68 )
= nil_poly_real )
= ( SV68 = nil_poly_real ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[534]) ).
thf(583,plain,
! [SV69: list_poly_real,SV30: poly_real > poly_real] :
( ( ( ( map_po2132607150y_real @ SV30 @ SV69 )
= nil_poly_real )
= ( SV69 = nil_poly_real ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[535]) ).
thf(584,plain,
! [SV70: list_poly_real,SV31: poly_real > poly_real] :
( ( ( ( map_po2132607150y_real @ SV31 @ SV70 )
= nil_poly_real )
= ( SV70 = nil_poly_real ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[536]) ).
thf(585,plain,
! [SV71: list_poly_real,SV32: poly_real > poly_real] :
( ( ( nil_poly_real
= ( map_po2132607150y_real @ SV32 @ SV71 ) )
= ( SV71 = nil_poly_real ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[537]) ).
thf(586,plain,
! [SV33: list_poly_real] :
( ( ~ ( ( SV33 != nil_poly_real )
| ~ ! [SY194: poly_real] :
~ ~ ! [SY195: list_poly_real] :
( SV33
!= ( cons_poly_real @ SY194 @ SY195 ) ) )
| ~ ( ~ ( ( SV33 != nil_poly_real ) )
| ~ ~ ! [SY194: poly_real] :
~ ~ ! [SY195: list_poly_real] :
( SV33
!= ( cons_poly_real @ SY194 @ SY195 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[538]) ).
thf(587,plain,
! [SV33: list_poly_real] :
( ( ( SV33 != nil_poly_real )
= ( ~ ! [SY194: poly_real] :
~ ~ ! [SY195: list_poly_real] :
( SV33
!= ( cons_poly_real @ SY194 @ SY195 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[538]) ).
thf(588,plain,
! [SV72: list_poly_real,SV34: poly_real] :
( ( nil_poly_real
!= ( cons_poly_real @ SV34 @ SV72 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[539]) ).
thf(589,plain,
! [SV73: list_poly_real,SV35: list_poly_real > $o] :
( ( ~ ( SV35 @ nil_poly_real )
| ~ ! [SY198: poly_real] : ( SV35 @ ( cons_poly_real @ SY198 @ nil_poly_real ) )
| ~ ! [SY199: poly_real,SY200: poly_real,SY201: list_poly_real] :
( ~ ( ( SY199 != SY200 )
| ( SV35 @ ( cons_poly_real @ SY199 @ SY201 ) ) )
| ~ ( ~ ( ( SY199 != SY200 ) )
| ( SV35 @ ( cons_poly_real @ SY200 @ SY201 ) ) )
| ( SV35 @ ( cons_poly_real @ SY199 @ ( cons_poly_real @ SY200 @ SY201 ) ) ) )
| ( SV35 @ SV73 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[540]) ).
thf(590,plain,
! [SV74: list_poly_real,SV36: list_poly_real] :
( ( ( SV36 != SV74 )
| ( SV36
= ( append_poly_real @ nil_poly_real @ SV74 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[541]) ).
thf(591,plain,
! [SV37: list_poly_real] :
( ( ( ~ ( ( SV37 != nil_poly_real ) ) )
= $true )
| ( ( ~ ! [SY203: poly_real,SY204: list_poly_real] :
( SV37
!= ( cons_poly_real @ SY203 @ SY204 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[542]) ).
thf(592,plain,
! [SV75: list_poly_real,SV38: list_poly_real > list_poly_real > $o] :
( ( ! [SY309: list_poly_real] :
( ~ ! [SY207: list_poly_real] : ( SV38 @ nil_poly_real @ SY207 )
| ~ ! [SY208: list_poly_real] : ( SV38 @ SY208 @ nil_poly_real )
| ~ ! [SY209: poly_real,SY210: list_poly_real,SY211: poly_real,SY212: list_poly_real] :
( ~ ( SV38 @ SY210 @ ( cons_poly_real @ SY211 @ SY212 ) )
| ~ ( SV38 @ ( cons_poly_real @ SY209 @ SY210 ) @ SY212 )
| ( SV38 @ ( cons_poly_real @ SY209 @ SY210 ) @ ( cons_poly_real @ SY211 @ SY212 ) ) )
| ( SV38 @ SV75 @ SY309 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[543]) ).
thf(593,plain,
! [SV76: list_poly_real,SV39: list_poly_real > list_poly_real > $o] :
( ( ! [SY316: list_poly_real] :
( ~ ( SV39 @ nil_poly_real @ nil_poly_real )
| ~ ! [SY215: poly_real,SY216: list_poly_real] : ( SV39 @ ( cons_poly_real @ SY215 @ SY216 ) @ nil_poly_real )
| ~ ! [SY217: poly_real,SY218: list_poly_real] : ( SV39 @ nil_poly_real @ ( cons_poly_real @ SY217 @ SY218 ) )
| ~ ! [SY219: poly_real,SY220: list_poly_real,SY221: poly_real,SY222: list_poly_real] :
( ~ ( SV39 @ SY220 @ SY222 )
| ( SV39 @ ( cons_poly_real @ SY219 @ SY220 ) @ ( cons_poly_real @ SY221 @ SY222 ) ) )
| ( SV39 @ SV76 @ SY316 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[544]) ).
thf(594,plain,
! [SV77: poly_real > poly_real > $o,SV40: ( poly_real > poly_real > $o ) > list_poly_real > $o] :
( ( ! [SY325: list_poly_real] :
( ~ ! [SY225: poly_real > poly_real > $o] : ( SV40 @ SY225 @ nil_poly_real )
| ~ ! [SY226: poly_real > poly_real > $o,SY227: poly_real,SY228: list_poly_real] :
( ~ ( SV40 @ SY226 @ SY228 )
| ( SV40 @ SY226 @ ( cons_poly_real @ SY227 @ SY228 ) ) )
| ( SV40 @ SV77 @ SY325 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[545]) ).
thf(595,plain,
! [SV78: list_poly_real,SV41: list_poly_real > list_poly_real > $o] :
( ( ! [SY330: list_poly_real] :
( ~ ! [SY231: poly_real,SY232: list_poly_real,SY233: poly_real,SY234: list_poly_real] :
( ~ ( SV41 @ SY232 @ SY234 )
| ( SV41 @ ( cons_poly_real @ SY231 @ SY232 ) @ ( cons_poly_real @ SY233 @ SY234 ) ) )
| ~ ! [SY235: list_poly_real] : ( SV41 @ SY235 @ nil_poly_real )
| ~ ! [SY236: poly_real,SY237: list_poly_real] : ( SV41 @ nil_poly_real @ ( cons_poly_real @ SY236 @ SY237 ) )
| ( SV41 @ SV78 @ SY330 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[546]) ).
thf(596,plain,
! [SV79: list_poly_real > $o,SV42: list_poly_real] :
( ( ~ ( ( SV42 != nil_poly_real ) )
| ~ ! [SY338: poly_real] : ( SV79 @ ( cons_poly_real @ SY338 @ nil_poly_real ) )
| ~ ! [SY339: poly_real,SY340: list_poly_real] :
( ~ ( ( SY340 != nil_poly_real ) )
| ~ ( SV79 @ SY340 )
| ( SV79 @ ( cons_poly_real @ SY339 @ SY340 ) ) )
| ( SV79 @ SV42 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[547]) ).
thf(597,plain,
! [SV80: poly_real,SV43: list_poly_real] :
( ( ! [SY341: list_poly_real] :
( ( SV43
!= ( cons_poly_real @ SV80 @ SY341 ) )
| ( SV43 != nil_poly_real ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[548]) ).
thf(598,plain,
! [SV81: list_poly_real,SV44: list_poly_real] :
( ( ( nil_poly_real
= ( append_poly_real @ SV44 @ SV81 ) )
= ( ~ ( ( SV44 != nil_poly_real )
| ( SV81 != nil_poly_real ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[549]) ).
thf(599,plain,
! [SV82: list_poly_real,SV45: list_poly_real > $o] :
( ( ~ ( SV45 @ nil_poly_real )
| ~ ! [SY246: poly_real] : ( SV45 @ ( cons_poly_real @ SY246 @ nil_poly_real ) )
| ~ ! [SY247: poly_real,SY248: poly_real,SY249: list_poly_real] :
( ~ ( SV45 @ SY249 )
| ~ ( SV45 @ ( cons_poly_real @ SY248 @ SY249 ) )
| ( SV45 @ ( cons_poly_real @ SY247 @ ( cons_poly_real @ SY248 @ SY249 ) ) ) )
| ( SV45 @ SV82 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[550]) ).
thf(600,plain,
! [SV83: list_poly_real,SV46: list_poly_real] :
( ( ( ( splice_poly_real @ SV46 @ SV83 )
= nil_poly_real )
= ( ~ ( ( SV46 != nil_poly_real )
| ( SV83 != nil_poly_real ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[551]) ).
thf(601,plain,
! [SV47: list_poly_real] :
( ( ( ~ ( ( SV47 != nil_poly_real ) ) )
= $true )
| ( ( ~ ! [SY251: poly_real] :
( SV47
!= ( cons_poly_real @ SY251 @ nil_poly_real ) )
| ~ ! [SY252: poly_real,SY253: poly_real,SY254: list_poly_real] :
( SV47
!= ( cons_poly_real @ SY252 @ ( cons_poly_real @ SY253 @ SY254 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[552]) ).
thf(602,plain,
! [SV48: list_poly_real] :
( ( ( ~ ( ( SV48 != nil_poly_real ) ) )
= $true )
| ( ( ~ ! [SY255: poly_real,SY256: list_poly_real] :
( SV48
!= ( cons_poly_real @ SY255 @ SY256 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[553]) ).
thf(603,plain,
! [SV84: list_poly_real,SV49: list_poly_real > $o] :
( ( ~ ( SV49 @ nil_poly_real )
| ~ ! [SY258: poly_real,SY259: list_poly_real] :
( ~ ( SV49 @ SY259 )
| ( SV49 @ ( cons_poly_real @ SY258 @ SY259 ) ) )
| ( SV49 @ SV84 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[554]) ).
thf(604,plain,
! [SV85: list_poly_real,SV50: list_poly_real] :
( ( ( ( append_poly_real @ SV50 @ SV85 )
= nil_poly_real )
= ( ~ ( ( SV50 != nil_poly_real )
| ( SV85 != nil_poly_real ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[555]) ).
thf(605,plain,
! [SV51: list_poly_real] :
( ( ( ~ ! [SY261: poly_real,SY262: list_poly_real] :
( SV51
!= ( cons_poly_real @ SY261 @ SY262 ) ) )
= $true )
| ( ( SV51 = nil_poly_real )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[556]) ).
thf(606,plain,
! [SV86: list_poly_real,SV52: list_poly_real > list_poly_real > $o] :
( ( ! [SY348: list_poly_real] :
( ~ ! [SY265: list_poly_real] : ( SV52 @ SY265 @ nil_poly_real )
| ~ ! [SY266: poly_real,SY267: list_poly_real] : ( SV52 @ nil_poly_real @ ( cons_poly_real @ SY266 @ SY267 ) )
| ~ ! [SY268: poly_real,SY269: list_poly_real,SY270: poly_real,SY271: list_poly_real] :
( ~ ( SV52 @ SY269 @ SY271 )
| ( SV52 @ ( cons_poly_real @ SY268 @ SY269 ) @ ( cons_poly_real @ SY270 @ SY271 ) ) )
| ( SV52 @ SV86 @ SY348 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[557]) ).
thf(607,plain,
! [SV87: list_poly_real,SV53: list_poly_real > $o] :
( ( ~ ! [SY273: poly_real,SY274: list_poly_real] :
( ~ ! [SY275: poly_real,SY276: list_poly_real] :
( ( SY274
!= ( cons_poly_real @ SY275 @ SY276 ) )
| ( SV53 @ SY274 ) )
| ( SV53 @ ( cons_poly_real @ SY273 @ SY274 ) ) )
| ~ ( SV53 @ nil_poly_real )
| ( SV53 @ SV87 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[558]) ).
thf(608,plain,
! [SV88: poly_real,SV54: list_poly_real] :
( ( ~ ( sturm_1664866327rm_seq @ SV54 @ SV88 )
| ( sturm_891428828rm_seq @ SV54 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[559]) ).
thf(609,plain,
! [SV89: poly_real > poly_real > $o,SV55: ( poly_real > poly_real > $o ) > list_poly_real > $o] :
( ( ! [SY360: list_poly_real] :
( ~ ! [SY280: poly_real > poly_real > $o] : ( SV55 @ SY280 @ nil_poly_real )
| ~ ! [SY281: poly_real > poly_real > $o,SY282: poly_real] : ( SV55 @ SY281 @ ( cons_poly_real @ SY282 @ nil_poly_real ) )
| ~ ! [SY283: poly_real > poly_real > $o,SY284: poly_real,SY285: poly_real,SY286: list_poly_real] :
( ~ ( SV55 @ SY283 @ ( cons_poly_real @ SY285 @ SY286 ) )
| ( SV55 @ SY283 @ ( cons_poly_real @ SY284 @ ( cons_poly_real @ SY285 @ SY286 ) ) ) )
| ( SV55 @ SV89 @ SY360 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[560]) ).
thf(610,plain,
! [SV56: list_poly_real] :
( ( ( ~ ( sturm_891428828rm_seq @ SV56 ) )
= $true )
| ( ( SV56 != nil_poly_real )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[561]) ).
thf(611,plain,
! [SV90: list_poly_real,SV57: list_poly_real > list_poly_real > $o] :
( ( ! [SY368: list_poly_real] :
( ~ ! [SY289: list_poly_real] : ( SV57 @ nil_poly_real @ SY289 )
| ~ ! [SY290: poly_real,SY291: list_poly_real,SY292: list_poly_real] :
( ~ ( SV57 @ SY292 @ SY291 )
| ( SV57 @ ( cons_poly_real @ SY290 @ SY291 ) @ SY292 ) )
| ( SV57 @ SV90 @ SY368 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[562]) ).
thf(612,plain,
! [SV91: list_poly_real,SV58: list_poly_real > $o] :
( ( ~ ( SV58 @ nil_poly_real )
| ~ ! [SY294: poly_real,SY295: list_poly_real] :
( ~ ( SV58 @ SY295 )
| ( SV58 @ ( cons_poly_real @ SY294 @ SY295 ) ) )
| ( SV58 @ SV91 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[563]) ).
thf(613,plain,
! [SV92: poly_real > poly_real,SV59: ( poly_real > poly_real ) > list_poly_real > list_poly_real > $o] :
( ( ! [SY375: list_poly_real,SY376: list_poly_real] :
( ~ ! [SY299: poly_real > poly_real,SY300: list_poly_real] : ( SV59 @ SY299 @ nil_poly_real @ SY300 )
| ~ ! [SY301: poly_real > poly_real,SY302: poly_real,SY303: list_poly_real,SY304: list_poly_real] :
( ~ ( SV59 @ SY301 @ SY303 @ ( cons_poly_real @ ( SY301 @ SY302 ) @ SY304 ) )
| ( SV59 @ SY301 @ ( cons_poly_real @ SY302 @ SY303 ) @ SY304 ) )
| ( SV59 @ SV92 @ SY375 @ SY376 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[564]) ).
thf(614,plain,
! [SV7: list_poly_real] :
( ( ( ~ ( ( SV7 = nil_poly_real )
| ( null_poly_real @ SV7 ) ) )
= $true )
| ( ( ~ ( ( SV7 != nil_poly_real )
| ~ ( null_poly_real @ SV7 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[567]) ).
thf(615,plain,
! [SV9: list_poly_real] :
( ( ( ~ ( ( ( rotate1_poly_real @ SV9 )
= nil_poly_real )
| ( SV9 = nil_poly_real ) ) )
= $true )
| ( ( ~ ( ( ( rotate1_poly_real @ SV9 )
!= nil_poly_real )
| ( SV9 != nil_poly_real ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[570]) ).
thf(616,plain,
! [SV62: list_poly_real,SV13: poly_real > poly_real > $o] :
( ( ~ ( ( lexordp_eq_poly_real @ SV13 @ SV62 @ nil_poly_real )
| ( SV62 = nil_poly_real ) )
| ~ ( ~ ( lexordp_eq_poly_real @ SV13 @ SV62 @ nil_poly_real )
| ( SV62 != nil_poly_real ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[574]) ).
thf(617,plain,
! [SV62: list_poly_real,SV13: poly_real > poly_real > $o] :
( ( ( lexordp_eq_poly_real @ SV13 @ SV62 @ nil_poly_real )
= ( SV62 = nil_poly_real ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[574]) ).
thf(618,plain,
! [SV64: list_poly_real,SV18: list_poly_real] :
( ( ~ ( ( ( append_poly_real @ SV18 @ SV64 )
= SV18 )
| ( SV64 = nil_poly_real ) )
| ~ ( ( ( append_poly_real @ SV18 @ SV64 )
!= SV18 )
| ( SV64 != nil_poly_real ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[576]) ).
thf(619,plain,
! [SV64: list_poly_real,SV18: list_poly_real] :
( ( ( ( append_poly_real @ SV18 @ SV64 )
= SV18 )
= ( SV64 = nil_poly_real ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[576]) ).
thf(620,plain,
! [SV65: list_poly_real,SV19: list_poly_real] :
( ( ~ ( ( SV19
= ( append_poly_real @ SV19 @ SV65 ) )
| ( SV65 = nil_poly_real ) )
| ~ ( ( SV19
!= ( append_poly_real @ SV19 @ SV65 ) )
| ( SV65 != nil_poly_real ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[577]) ).
thf(621,plain,
! [SV65: list_poly_real,SV19: list_poly_real] :
( ( ( SV19
= ( append_poly_real @ SV19 @ SV65 ) )
= ( SV65 = nil_poly_real ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[577]) ).
thf(622,plain,
! [SV66: list_poly_real,SV20: list_poly_real] :
( ( ~ ( ( ( append_poly_real @ SV20 @ SV66 )
= SV66 )
| ( SV20 = nil_poly_real ) )
| ~ ( ( ( append_poly_real @ SV20 @ SV66 )
!= SV66 )
| ( SV20 != nil_poly_real ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[578]) ).
thf(623,plain,
! [SV66: list_poly_real,SV20: list_poly_real] :
( ( ( ( append_poly_real @ SV20 @ SV66 )
= SV66 )
= ( SV20 = nil_poly_real ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[578]) ).
thf(624,plain,
! [SV67: list_poly_real,SV21: list_poly_real] :
( ( ~ ( ( SV21
= ( append_poly_real @ SV67 @ SV21 ) )
| ( SV67 = nil_poly_real ) )
| ~ ( ( SV21
!= ( append_poly_real @ SV67 @ SV21 ) )
| ( SV67 != nil_poly_real ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[579]) ).
thf(625,plain,
! [SV67: list_poly_real,SV21: list_poly_real] :
( ( ( SV21
= ( append_poly_real @ SV67 @ SV21 ) )
= ( SV67 = nil_poly_real ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[579]) ).
thf(626,plain,
! [SV23: list_poly_real] :
( ( ( ~ ( ( ord_le1233681790y_real @ SV23 @ nil_poly_real )
| ( SV23 = nil_poly_real ) ) )
= $true )
| ( ( ~ ( ~ ( ord_le1233681790y_real @ SV23 @ nil_poly_real )
| ( SV23 != nil_poly_real ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[580]) ).
thf(627,plain,
! [SV68: list_poly_real,SV29: nat] :
( ( ~ ( ( ( rotate_poly_real @ SV29 @ SV68 )
= nil_poly_real )
| ( SV68 = nil_poly_real ) )
| ~ ( ( ( rotate_poly_real @ SV29 @ SV68 )
!= nil_poly_real )
| ( SV68 != nil_poly_real ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[582]) ).
thf(628,plain,
! [SV68: list_poly_real,SV29: nat] :
( ( ( ( rotate_poly_real @ SV29 @ SV68 )
= nil_poly_real )
= ( SV68 = nil_poly_real ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[582]) ).
thf(629,plain,
! [SV69: list_poly_real,SV30: poly_real > poly_real] :
( ( ~ ( ( ( map_po2132607150y_real @ SV30 @ SV69 )
= nil_poly_real )
| ( SV69 = nil_poly_real ) )
| ~ ( ( ( map_po2132607150y_real @ SV30 @ SV69 )
!= nil_poly_real )
| ( SV69 != nil_poly_real ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[583]) ).
thf(630,plain,
! [SV69: list_poly_real,SV30: poly_real > poly_real] :
( ( ( ( map_po2132607150y_real @ SV30 @ SV69 )
= nil_poly_real )
= ( SV69 = nil_poly_real ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[583]) ).
thf(631,plain,
! [SV70: list_poly_real,SV31: poly_real > poly_real] :
( ( ~ ( ( ( map_po2132607150y_real @ SV31 @ SV70 )
= nil_poly_real )
| ( SV70 = nil_poly_real ) )
| ~ ( ( ( map_po2132607150y_real @ SV31 @ SV70 )
!= nil_poly_real )
| ( SV70 != nil_poly_real ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[584]) ).
thf(632,plain,
! [SV70: list_poly_real,SV31: poly_real > poly_real] :
( ( ( ( map_po2132607150y_real @ SV31 @ SV70 )
= nil_poly_real )
= ( SV70 = nil_poly_real ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[584]) ).
thf(633,plain,
! [SV71: list_poly_real,SV32: poly_real > poly_real] :
( ( ~ ( ( nil_poly_real
= ( map_po2132607150y_real @ SV32 @ SV71 ) )
| ( SV71 = nil_poly_real ) )
| ~ ( ( nil_poly_real
!= ( map_po2132607150y_real @ SV32 @ SV71 ) )
| ( SV71 != nil_poly_real ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[585]) ).
thf(634,plain,
! [SV71: list_poly_real,SV32: poly_real > poly_real] :
( ( ( nil_poly_real
= ( map_po2132607150y_real @ SV32 @ SV71 ) )
= ( SV71 = nil_poly_real ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[585]) ).
thf(635,plain,
! [SV33: list_poly_real] :
( ( ( ~ ( ( SV33 != nil_poly_real )
| ~ ! [SY194: poly_real] :
~ ~ ! [SY195: list_poly_real] :
( SV33
!= ( cons_poly_real @ SY194 @ SY195 ) ) ) )
= $true )
| ( ( ~ ( ~ ( ( SV33 != nil_poly_real ) )
| ~ ~ ! [SY194: poly_real] :
~ ~ ! [SY195: list_poly_real] :
( SV33
!= ( cons_poly_real @ SY194 @ SY195 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[586]) ).
thf(636,plain,
! [SV72: list_poly_real,SV34: poly_real] :
( ( nil_poly_real
= ( cons_poly_real @ SV34 @ SV72 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[588]) ).
thf(637,plain,
! [SV73: list_poly_real,SV35: list_poly_real > $o] :
( ( ( ~ ( SV35 @ nil_poly_real ) )
= $true )
| ( ( ~ ! [SY198: poly_real] : ( SV35 @ ( cons_poly_real @ SY198 @ nil_poly_real ) )
| ~ ! [SY199: poly_real,SY200: poly_real,SY201: list_poly_real] :
( ~ ( ( SY199 != SY200 )
| ( SV35 @ ( cons_poly_real @ SY199 @ SY201 ) ) )
| ~ ( ~ ( ( SY199 != SY200 ) )
| ( SV35 @ ( cons_poly_real @ SY200 @ SY201 ) ) )
| ( SV35 @ ( cons_poly_real @ SY199 @ ( cons_poly_real @ SY200 @ SY201 ) ) ) )
| ( SV35 @ SV73 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[589]) ).
thf(638,plain,
! [SV74: list_poly_real,SV36: list_poly_real] :
( ( ( SV36 != SV74 )
= $true )
| ( ( SV36
= ( append_poly_real @ nil_poly_real @ SV74 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[590]) ).
thf(639,plain,
! [SV37: list_poly_real] :
( ( ( SV37 != nil_poly_real )
= $false )
| ( ( ~ ! [SY203: poly_real,SY204: list_poly_real] :
( SV37
!= ( cons_poly_real @ SY203 @ SY204 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[591]) ).
thf(640,plain,
! [SV93: list_poly_real,SV75: list_poly_real,SV38: list_poly_real > list_poly_real > $o] :
( ( ~ ! [SY207: list_poly_real] : ( SV38 @ nil_poly_real @ SY207 )
| ~ ! [SY208: list_poly_real] : ( SV38 @ SY208 @ nil_poly_real )
| ~ ! [SY209: poly_real,SY210: list_poly_real,SY211: poly_real,SY212: list_poly_real] :
( ~ ( SV38 @ SY210 @ ( cons_poly_real @ SY211 @ SY212 ) )
| ~ ( SV38 @ ( cons_poly_real @ SY209 @ SY210 ) @ SY212 )
| ( SV38 @ ( cons_poly_real @ SY209 @ SY210 ) @ ( cons_poly_real @ SY211 @ SY212 ) ) )
| ( SV38 @ SV75 @ SV93 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[592]) ).
thf(641,plain,
! [SV94: list_poly_real,SV76: list_poly_real,SV39: list_poly_real > list_poly_real > $o] :
( ( ~ ( SV39 @ nil_poly_real @ nil_poly_real )
| ~ ! [SY215: poly_real,SY216: list_poly_real] : ( SV39 @ ( cons_poly_real @ SY215 @ SY216 ) @ nil_poly_real )
| ~ ! [SY217: poly_real,SY218: list_poly_real] : ( SV39 @ nil_poly_real @ ( cons_poly_real @ SY217 @ SY218 ) )
| ~ ! [SY219: poly_real,SY220: list_poly_real,SY221: poly_real,SY222: list_poly_real] :
( ~ ( SV39 @ SY220 @ SY222 )
| ( SV39 @ ( cons_poly_real @ SY219 @ SY220 ) @ ( cons_poly_real @ SY221 @ SY222 ) ) )
| ( SV39 @ SV76 @ SV94 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[593]) ).
thf(642,plain,
! [SV95: list_poly_real,SV77: poly_real > poly_real > $o,SV40: ( poly_real > poly_real > $o ) > list_poly_real > $o] :
( ( ~ ! [SY225: poly_real > poly_real > $o] : ( SV40 @ SY225 @ nil_poly_real )
| ~ ! [SY226: poly_real > poly_real > $o,SY227: poly_real,SY228: list_poly_real] :
( ~ ( SV40 @ SY226 @ SY228 )
| ( SV40 @ SY226 @ ( cons_poly_real @ SY227 @ SY228 ) ) )
| ( SV40 @ SV77 @ SV95 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[594]) ).
thf(643,plain,
! [SV96: list_poly_real,SV78: list_poly_real,SV41: list_poly_real > list_poly_real > $o] :
( ( ~ ! [SY231: poly_real,SY232: list_poly_real,SY233: poly_real,SY234: list_poly_real] :
( ~ ( SV41 @ SY232 @ SY234 )
| ( SV41 @ ( cons_poly_real @ SY231 @ SY232 ) @ ( cons_poly_real @ SY233 @ SY234 ) ) )
| ~ ! [SY235: list_poly_real] : ( SV41 @ SY235 @ nil_poly_real )
| ~ ! [SY236: poly_real,SY237: list_poly_real] : ( SV41 @ nil_poly_real @ ( cons_poly_real @ SY236 @ SY237 ) )
| ( SV41 @ SV78 @ SV96 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[595]) ).
thf(644,plain,
! [SV79: list_poly_real > $o,SV42: list_poly_real] :
( ( ( ~ ( ( SV42 != nil_poly_real ) ) )
= $true )
| ( ( ~ ! [SY338: poly_real] : ( SV79 @ ( cons_poly_real @ SY338 @ nil_poly_real ) )
| ~ ! [SY339: poly_real,SY340: list_poly_real] :
( ~ ( ( SY340 != nil_poly_real ) )
| ~ ( SV79 @ SY340 )
| ( SV79 @ ( cons_poly_real @ SY339 @ SY340 ) ) )
| ( SV79 @ SV42 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[596]) ).
thf(645,plain,
! [SV97: list_poly_real,SV80: poly_real,SV43: list_poly_real] :
( ( ( SV43
!= ( cons_poly_real @ SV80 @ SV97 ) )
| ( SV43 != nil_poly_real ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[597]) ).
thf(646,plain,
! [SV81: list_poly_real,SV44: list_poly_real] :
( ( ~ ( ( nil_poly_real
= ( append_poly_real @ SV44 @ SV81 ) )
| ~ ( ( SV44 != nil_poly_real )
| ( SV81 != nil_poly_real ) ) )
| ~ ( ( nil_poly_real
!= ( append_poly_real @ SV44 @ SV81 ) )
| ~ ~ ( ( SV44 != nil_poly_real )
| ( SV81 != nil_poly_real ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[598]) ).
thf(647,plain,
! [SV81: list_poly_real,SV44: list_poly_real] :
( ( ( nil_poly_real
= ( append_poly_real @ SV44 @ SV81 ) )
= ( ~ ( ( SV44 != nil_poly_real )
| ( SV81 != nil_poly_real ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[598]) ).
thf(648,plain,
! [SV82: list_poly_real,SV45: list_poly_real > $o] :
( ( ( ~ ( SV45 @ nil_poly_real ) )
= $true )
| ( ( ~ ! [SY246: poly_real] : ( SV45 @ ( cons_poly_real @ SY246 @ nil_poly_real ) )
| ~ ! [SY247: poly_real,SY248: poly_real,SY249: list_poly_real] :
( ~ ( SV45 @ SY249 )
| ~ ( SV45 @ ( cons_poly_real @ SY248 @ SY249 ) )
| ( SV45 @ ( cons_poly_real @ SY247 @ ( cons_poly_real @ SY248 @ SY249 ) ) ) )
| ( SV45 @ SV82 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[599]) ).
thf(649,plain,
! [SV83: list_poly_real,SV46: list_poly_real] :
( ( ~ ( ( ( splice_poly_real @ SV46 @ SV83 )
= nil_poly_real )
| ~ ( ( SV46 != nil_poly_real )
| ( SV83 != nil_poly_real ) ) )
| ~ ( ( ( splice_poly_real @ SV46 @ SV83 )
!= nil_poly_real )
| ~ ~ ( ( SV46 != nil_poly_real )
| ( SV83 != nil_poly_real ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[600]) ).
thf(650,plain,
! [SV83: list_poly_real,SV46: list_poly_real] :
( ( ( ( splice_poly_real @ SV46 @ SV83 )
= nil_poly_real )
= ( ~ ( ( SV46 != nil_poly_real )
| ( SV83 != nil_poly_real ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[600]) ).
thf(651,plain,
! [SV47: list_poly_real] :
( ( ( SV47 != nil_poly_real )
= $false )
| ( ( ~ ! [SY251: poly_real] :
( SV47
!= ( cons_poly_real @ SY251 @ nil_poly_real ) )
| ~ ! [SY252: poly_real,SY253: poly_real,SY254: list_poly_real] :
( SV47
!= ( cons_poly_real @ SY252 @ ( cons_poly_real @ SY253 @ SY254 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[601]) ).
thf(652,plain,
! [SV48: list_poly_real] :
( ( ( SV48 != nil_poly_real )
= $false )
| ( ( ~ ! [SY255: poly_real,SY256: list_poly_real] :
( SV48
!= ( cons_poly_real @ SY255 @ SY256 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[602]) ).
thf(653,plain,
! [SV84: list_poly_real,SV49: list_poly_real > $o] :
( ( ( ~ ( SV49 @ nil_poly_real ) )
= $true )
| ( ( ~ ! [SY258: poly_real,SY259: list_poly_real] :
( ~ ( SV49 @ SY259 )
| ( SV49 @ ( cons_poly_real @ SY258 @ SY259 ) ) )
| ( SV49 @ SV84 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[603]) ).
thf(654,plain,
! [SV85: list_poly_real,SV50: list_poly_real] :
( ( ~ ( ( ( append_poly_real @ SV50 @ SV85 )
= nil_poly_real )
| ~ ( ( SV50 != nil_poly_real )
| ( SV85 != nil_poly_real ) ) )
| ~ ( ( ( append_poly_real @ SV50 @ SV85 )
!= nil_poly_real )
| ~ ~ ( ( SV50 != nil_poly_real )
| ( SV85 != nil_poly_real ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[604]) ).
thf(655,plain,
! [SV85: list_poly_real,SV50: list_poly_real] :
( ( ( ( append_poly_real @ SV50 @ SV85 )
= nil_poly_real )
= ( ~ ( ( SV50 != nil_poly_real )
| ( SV85 != nil_poly_real ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[604]) ).
thf(656,plain,
! [SV51: list_poly_real] :
( ( ( ! [SY261: poly_real,SY262: list_poly_real] :
( SV51
!= ( cons_poly_real @ SY261 @ SY262 ) ) )
= $false )
| ( ( SV51 = nil_poly_real )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[605]) ).
thf(657,plain,
! [SV98: list_poly_real,SV86: list_poly_real,SV52: list_poly_real > list_poly_real > $o] :
( ( ~ ! [SY265: list_poly_real] : ( SV52 @ SY265 @ nil_poly_real )
| ~ ! [SY266: poly_real,SY267: list_poly_real] : ( SV52 @ nil_poly_real @ ( cons_poly_real @ SY266 @ SY267 ) )
| ~ ! [SY268: poly_real,SY269: list_poly_real,SY270: poly_real,SY271: list_poly_real] :
( ~ ( SV52 @ SY269 @ SY271 )
| ( SV52 @ ( cons_poly_real @ SY268 @ SY269 ) @ ( cons_poly_real @ SY270 @ SY271 ) ) )
| ( SV52 @ SV86 @ SV98 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[606]) ).
thf(658,plain,
! [SV87: list_poly_real,SV53: list_poly_real > $o] :
( ( ( ~ ! [SY273: poly_real,SY274: list_poly_real] :
( ~ ! [SY275: poly_real,SY276: list_poly_real] :
( ( SY274
!= ( cons_poly_real @ SY275 @ SY276 ) )
| ( SV53 @ SY274 ) )
| ( SV53 @ ( cons_poly_real @ SY273 @ SY274 ) ) ) )
= $true )
| ( ( ~ ( SV53 @ nil_poly_real )
| ( SV53 @ SV87 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[607]) ).
thf(659,plain,
! [SV88: poly_real,SV54: list_poly_real] :
( ( ( ~ ( sturm_1664866327rm_seq @ SV54 @ SV88 ) )
= $true )
| ( ( sturm_891428828rm_seq @ SV54 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[608]) ).
thf(660,plain,
! [SV99: list_poly_real,SV89: poly_real > poly_real > $o,SV55: ( poly_real > poly_real > $o ) > list_poly_real > $o] :
( ( ~ ! [SY280: poly_real > poly_real > $o] : ( SV55 @ SY280 @ nil_poly_real )
| ~ ! [SY281: poly_real > poly_real > $o,SY282: poly_real] : ( SV55 @ SY281 @ ( cons_poly_real @ SY282 @ nil_poly_real ) )
| ~ ! [SY283: poly_real > poly_real > $o,SY284: poly_real,SY285: poly_real,SY286: list_poly_real] :
( ~ ( SV55 @ SY283 @ ( cons_poly_real @ SY285 @ SY286 ) )
| ( SV55 @ SY283 @ ( cons_poly_real @ SY284 @ ( cons_poly_real @ SY285 @ SY286 ) ) ) )
| ( SV55 @ SV89 @ SV99 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[609]) ).
thf(661,plain,
! [SV56: list_poly_real] :
( ( ( sturm_891428828rm_seq @ SV56 )
= $false )
| ( ( SV56 != nil_poly_real )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[610]) ).
thf(662,plain,
! [SV100: list_poly_real,SV90: list_poly_real,SV57: list_poly_real > list_poly_real > $o] :
( ( ~ ! [SY289: list_poly_real] : ( SV57 @ nil_poly_real @ SY289 )
| ~ ! [SY290: poly_real,SY291: list_poly_real,SY292: list_poly_real] :
( ~ ( SV57 @ SY292 @ SY291 )
| ( SV57 @ ( cons_poly_real @ SY290 @ SY291 ) @ SY292 ) )
| ( SV57 @ SV90 @ SV100 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[611]) ).
thf(663,plain,
! [SV91: list_poly_real,SV58: list_poly_real > $o] :
( ( ( ~ ( SV58 @ nil_poly_real ) )
= $true )
| ( ( ~ ! [SY294: poly_real,SY295: list_poly_real] :
( ~ ( SV58 @ SY295 )
| ( SV58 @ ( cons_poly_real @ SY294 @ SY295 ) ) )
| ( SV58 @ SV91 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[612]) ).
thf(664,plain,
! [SV101: list_poly_real,SV92: poly_real > poly_real,SV59: ( poly_real > poly_real ) > list_poly_real > list_poly_real > $o] :
( ( ! [SY426: list_poly_real] :
( ~ ! [SY299: poly_real > poly_real,SY300: list_poly_real] : ( SV59 @ SY299 @ nil_poly_real @ SY300 )
| ~ ! [SY301: poly_real > poly_real,SY302: poly_real,SY303: list_poly_real,SY304: list_poly_real] :
( ~ ( SV59 @ SY301 @ SY303 @ ( cons_poly_real @ ( SY301 @ SY302 ) @ SY304 ) )
| ( SV59 @ SY301 @ ( cons_poly_real @ SY302 @ SY303 ) @ SY304 ) )
| ( SV59 @ SV92 @ SV101 @ SY426 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[613]) ).
thf(665,plain,
! [SV7: list_poly_real] :
( ( ( ( SV7 = nil_poly_real )
| ( null_poly_real @ SV7 ) )
= $false )
| ( ( ~ ( ( SV7 != nil_poly_real )
| ~ ( null_poly_real @ SV7 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[614]) ).
thf(666,plain,
! [SV9: list_poly_real] :
( ( ( ( ( rotate1_poly_real @ SV9 )
= nil_poly_real )
| ( SV9 = nil_poly_real ) )
= $false )
| ( ( ~ ( ( ( rotate1_poly_real @ SV9 )
!= nil_poly_real )
| ( SV9 != nil_poly_real ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[615]) ).
thf(667,plain,
! [SV62: list_poly_real,SV13: poly_real > poly_real > $o] :
( ( ( ~ ( ( lexordp_eq_poly_real @ SV13 @ SV62 @ nil_poly_real )
| ( SV62 = nil_poly_real ) ) )
= $true )
| ( ( ~ ( ~ ( lexordp_eq_poly_real @ SV13 @ SV62 @ nil_poly_real )
| ( SV62 != nil_poly_real ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[616]) ).
thf(668,plain,
! [SV64: list_poly_real,SV18: list_poly_real] :
( ( ( ~ ( ( ( append_poly_real @ SV18 @ SV64 )
= SV18 )
| ( SV64 = nil_poly_real ) ) )
= $true )
| ( ( ~ ( ( ( append_poly_real @ SV18 @ SV64 )
!= SV18 )
| ( SV64 != nil_poly_real ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[618]) ).
thf(669,plain,
! [SV65: list_poly_real,SV19: list_poly_real] :
( ( ( ~ ( ( SV19
= ( append_poly_real @ SV19 @ SV65 ) )
| ( SV65 = nil_poly_real ) ) )
= $true )
| ( ( ~ ( ( SV19
!= ( append_poly_real @ SV19 @ SV65 ) )
| ( SV65 != nil_poly_real ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[620]) ).
thf(670,plain,
! [SV66: list_poly_real,SV20: list_poly_real] :
( ( ( ~ ( ( ( append_poly_real @ SV20 @ SV66 )
= SV66 )
| ( SV20 = nil_poly_real ) ) )
= $true )
| ( ( ~ ( ( ( append_poly_real @ SV20 @ SV66 )
!= SV66 )
| ( SV20 != nil_poly_real ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[622]) ).
thf(671,plain,
! [SV67: list_poly_real,SV21: list_poly_real] :
( ( ( ~ ( ( SV21
= ( append_poly_real @ SV67 @ SV21 ) )
| ( SV67 = nil_poly_real ) ) )
= $true )
| ( ( ~ ( ( SV21
!= ( append_poly_real @ SV67 @ SV21 ) )
| ( SV67 != nil_poly_real ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[624]) ).
thf(672,plain,
! [SV23: list_poly_real] :
( ( ( ( ord_le1233681790y_real @ SV23 @ nil_poly_real )
| ( SV23 = nil_poly_real ) )
= $false )
| ( ( ~ ( ~ ( ord_le1233681790y_real @ SV23 @ nil_poly_real )
| ( SV23 != nil_poly_real ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[626]) ).
thf(673,plain,
! [SV68: list_poly_real,SV29: nat] :
( ( ( ~ ( ( ( rotate_poly_real @ SV29 @ SV68 )
= nil_poly_real )
| ( SV68 = nil_poly_real ) ) )
= $true )
| ( ( ~ ( ( ( rotate_poly_real @ SV29 @ SV68 )
!= nil_poly_real )
| ( SV68 != nil_poly_real ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[627]) ).
thf(674,plain,
! [SV69: list_poly_real,SV30: poly_real > poly_real] :
( ( ( ~ ( ( ( map_po2132607150y_real @ SV30 @ SV69 )
= nil_poly_real )
| ( SV69 = nil_poly_real ) ) )
= $true )
| ( ( ~ ( ( ( map_po2132607150y_real @ SV30 @ SV69 )
!= nil_poly_real )
| ( SV69 != nil_poly_real ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[629]) ).
thf(675,plain,
! [SV70: list_poly_real,SV31: poly_real > poly_real] :
( ( ( ~ ( ( ( map_po2132607150y_real @ SV31 @ SV70 )
= nil_poly_real )
| ( SV70 = nil_poly_real ) ) )
= $true )
| ( ( ~ ( ( ( map_po2132607150y_real @ SV31 @ SV70 )
!= nil_poly_real )
| ( SV70 != nil_poly_real ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[631]) ).
thf(676,plain,
! [SV71: list_poly_real,SV32: poly_real > poly_real] :
( ( ( ~ ( ( nil_poly_real
= ( map_po2132607150y_real @ SV32 @ SV71 ) )
| ( SV71 = nil_poly_real ) ) )
= $true )
| ( ( ~ ( ( nil_poly_real
!= ( map_po2132607150y_real @ SV32 @ SV71 ) )
| ( SV71 != nil_poly_real ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[633]) ).
thf(677,plain,
! [SV33: list_poly_real] :
( ( ( ( SV33 != nil_poly_real )
| ~ ! [SY194: poly_real] :
~ ~ ! [SY195: list_poly_real] :
( SV33
!= ( cons_poly_real @ SY194 @ SY195 ) ) )
= $false )
| ( ( ~ ( ~ ( ( SV33 != nil_poly_real ) )
| ~ ~ ! [SY194: poly_real] :
~ ~ ! [SY195: list_poly_real] :
( SV33
!= ( cons_poly_real @ SY194 @ SY195 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[635]) ).
thf(678,plain,
! [SV73: list_poly_real,SV35: list_poly_real > $o] :
( ( ( SV35 @ nil_poly_real )
= $false )
| ( ( ~ ! [SY198: poly_real] : ( SV35 @ ( cons_poly_real @ SY198 @ nil_poly_real ) )
| ~ ! [SY199: poly_real,SY200: poly_real,SY201: list_poly_real] :
( ~ ( ( SY199 != SY200 )
| ( SV35 @ ( cons_poly_real @ SY199 @ SY201 ) ) )
| ~ ( ~ ( ( SY199 != SY200 ) )
| ( SV35 @ ( cons_poly_real @ SY200 @ SY201 ) ) )
| ( SV35 @ ( cons_poly_real @ SY199 @ ( cons_poly_real @ SY200 @ SY201 ) ) ) )
| ( SV35 @ SV73 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[637]) ).
thf(679,plain,
! [SV74: list_poly_real,SV36: list_poly_real] :
( ( ( SV36 = SV74 )
= $false )
| ( ( SV36
= ( append_poly_real @ nil_poly_real @ SV74 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[638]) ).
thf(680,plain,
! [SV37: list_poly_real] :
( ( ( SV37 = nil_poly_real )
= $true )
| ( ( ~ ! [SY203: poly_real,SY204: list_poly_real] :
( SV37
!= ( cons_poly_real @ SY203 @ SY204 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[639]) ).
thf(681,plain,
! [SV93: list_poly_real,SV75: list_poly_real,SV38: list_poly_real > list_poly_real > $o] :
( ( ( ~ ! [SY207: list_poly_real] : ( SV38 @ nil_poly_real @ SY207 ) )
= $true )
| ( ( ~ ! [SY208: list_poly_real] : ( SV38 @ SY208 @ nil_poly_real )
| ~ ! [SY209: poly_real,SY210: list_poly_real,SY211: poly_real,SY212: list_poly_real] :
( ~ ( SV38 @ SY210 @ ( cons_poly_real @ SY211 @ SY212 ) )
| ~ ( SV38 @ ( cons_poly_real @ SY209 @ SY210 ) @ SY212 )
| ( SV38 @ ( cons_poly_real @ SY209 @ SY210 ) @ ( cons_poly_real @ SY211 @ SY212 ) ) )
| ( SV38 @ SV75 @ SV93 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[640]) ).
thf(682,plain,
! [SV94: list_poly_real,SV76: list_poly_real,SV39: list_poly_real > list_poly_real > $o] :
( ( ( ~ ( SV39 @ nil_poly_real @ nil_poly_real ) )
= $true )
| ( ( ~ ! [SY215: poly_real,SY216: list_poly_real] : ( SV39 @ ( cons_poly_real @ SY215 @ SY216 ) @ nil_poly_real )
| ~ ! [SY217: poly_real,SY218: list_poly_real] : ( SV39 @ nil_poly_real @ ( cons_poly_real @ SY217 @ SY218 ) )
| ~ ! [SY219: poly_real,SY220: list_poly_real,SY221: poly_real,SY222: list_poly_real] :
( ~ ( SV39 @ SY220 @ SY222 )
| ( SV39 @ ( cons_poly_real @ SY219 @ SY220 ) @ ( cons_poly_real @ SY221 @ SY222 ) ) )
| ( SV39 @ SV76 @ SV94 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[641]) ).
thf(683,plain,
! [SV95: list_poly_real,SV77: poly_real > poly_real > $o,SV40: ( poly_real > poly_real > $o ) > list_poly_real > $o] :
( ( ( ~ ! [SY225: poly_real > poly_real > $o] : ( SV40 @ SY225 @ nil_poly_real ) )
= $true )
| ( ( ~ ! [SY226: poly_real > poly_real > $o,SY227: poly_real,SY228: list_poly_real] :
( ~ ( SV40 @ SY226 @ SY228 )
| ( SV40 @ SY226 @ ( cons_poly_real @ SY227 @ SY228 ) ) )
| ( SV40 @ SV77 @ SV95 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[642]) ).
thf(684,plain,
! [SV96: list_poly_real,SV78: list_poly_real,SV41: list_poly_real > list_poly_real > $o] :
( ( ( ~ ! [SY231: poly_real,SY232: list_poly_real,SY233: poly_real,SY234: list_poly_real] :
( ~ ( SV41 @ SY232 @ SY234 )
| ( SV41 @ ( cons_poly_real @ SY231 @ SY232 ) @ ( cons_poly_real @ SY233 @ SY234 ) ) ) )
= $true )
| ( ( ~ ! [SY235: list_poly_real] : ( SV41 @ SY235 @ nil_poly_real )
| ~ ! [SY236: poly_real,SY237: list_poly_real] : ( SV41 @ nil_poly_real @ ( cons_poly_real @ SY236 @ SY237 ) )
| ( SV41 @ SV78 @ SV96 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[643]) ).
thf(685,plain,
! [SV79: list_poly_real > $o,SV42: list_poly_real] :
( ( ( SV42 != nil_poly_real )
= $false )
| ( ( ~ ! [SY338: poly_real] : ( SV79 @ ( cons_poly_real @ SY338 @ nil_poly_real ) )
| ~ ! [SY339: poly_real,SY340: list_poly_real] :
( ~ ( ( SY340 != nil_poly_real ) )
| ~ ( SV79 @ SY340 )
| ( SV79 @ ( cons_poly_real @ SY339 @ SY340 ) ) )
| ( SV79 @ SV42 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[644]) ).
thf(686,plain,
! [SV97: list_poly_real,SV80: poly_real,SV43: list_poly_real] :
( ( ( SV43
!= ( cons_poly_real @ SV80 @ SV97 ) )
= $true )
| ( ( SV43 != nil_poly_real )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[645]) ).
thf(687,plain,
! [SV81: list_poly_real,SV44: list_poly_real] :
( ( ( ~ ( ( nil_poly_real
= ( append_poly_real @ SV44 @ SV81 ) )
| ~ ( ( SV44 != nil_poly_real )
| ( SV81 != nil_poly_real ) ) ) )
= $true )
| ( ( ~ ( ( nil_poly_real
!= ( append_poly_real @ SV44 @ SV81 ) )
| ~ ~ ( ( SV44 != nil_poly_real )
| ( SV81 != nil_poly_real ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[646]) ).
thf(688,plain,
! [SV82: list_poly_real,SV45: list_poly_real > $o] :
( ( ( SV45 @ nil_poly_real )
= $false )
| ( ( ~ ! [SY246: poly_real] : ( SV45 @ ( cons_poly_real @ SY246 @ nil_poly_real ) )
| ~ ! [SY247: poly_real,SY248: poly_real,SY249: list_poly_real] :
( ~ ( SV45 @ SY249 )
| ~ ( SV45 @ ( cons_poly_real @ SY248 @ SY249 ) )
| ( SV45 @ ( cons_poly_real @ SY247 @ ( cons_poly_real @ SY248 @ SY249 ) ) ) )
| ( SV45 @ SV82 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[648]) ).
thf(689,plain,
! [SV83: list_poly_real,SV46: list_poly_real] :
( ( ( ~ ( ( ( splice_poly_real @ SV46 @ SV83 )
= nil_poly_real )
| ~ ( ( SV46 != nil_poly_real )
| ( SV83 != nil_poly_real ) ) ) )
= $true )
| ( ( ~ ( ( ( splice_poly_real @ SV46 @ SV83 )
!= nil_poly_real )
| ~ ~ ( ( SV46 != nil_poly_real )
| ( SV83 != nil_poly_real ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[649]) ).
thf(690,plain,
! [SV47: list_poly_real] :
( ( ( SV47 = nil_poly_real )
= $true )
| ( ( ~ ! [SY251: poly_real] :
( SV47
!= ( cons_poly_real @ SY251 @ nil_poly_real ) )
| ~ ! [SY252: poly_real,SY253: poly_real,SY254: list_poly_real] :
( SV47
!= ( cons_poly_real @ SY252 @ ( cons_poly_real @ SY253 @ SY254 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[651]) ).
thf(691,plain,
! [SV48: list_poly_real] :
( ( ( SV48 = nil_poly_real )
= $true )
| ( ( ~ ! [SY255: poly_real,SY256: list_poly_real] :
( SV48
!= ( cons_poly_real @ SY255 @ SY256 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[652]) ).
thf(692,plain,
! [SV84: list_poly_real,SV49: list_poly_real > $o] :
( ( ( SV49 @ nil_poly_real )
= $false )
| ( ( ~ ! [SY258: poly_real,SY259: list_poly_real] :
( ~ ( SV49 @ SY259 )
| ( SV49 @ ( cons_poly_real @ SY258 @ SY259 ) ) )
| ( SV49 @ SV84 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[653]) ).
thf(693,plain,
! [SV85: list_poly_real,SV50: list_poly_real] :
( ( ( ~ ( ( ( append_poly_real @ SV50 @ SV85 )
= nil_poly_real )
| ~ ( ( SV50 != nil_poly_real )
| ( SV85 != nil_poly_real ) ) ) )
= $true )
| ( ( ~ ( ( ( append_poly_real @ SV50 @ SV85 )
!= nil_poly_real )
| ~ ~ ( ( SV50 != nil_poly_real )
| ( SV85 != nil_poly_real ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[654]) ).
thf(694,plain,
! [SV51: list_poly_real] :
( ( ( ! [SY433: list_poly_real] :
( SV51
!= ( cons_poly_real @ ( sK1_SY261 @ SV51 ) @ SY433 ) ) )
= $false )
| ( ( SV51 = nil_poly_real )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[656]) ).
thf(695,plain,
! [SV98: list_poly_real,SV86: list_poly_real,SV52: list_poly_real > list_poly_real > $o] :
( ( ( ~ ! [SY265: list_poly_real] : ( SV52 @ SY265 @ nil_poly_real ) )
= $true )
| ( ( ~ ! [SY266: poly_real,SY267: list_poly_real] : ( SV52 @ nil_poly_real @ ( cons_poly_real @ SY266 @ SY267 ) )
| ~ ! [SY268: poly_real,SY269: list_poly_real,SY270: poly_real,SY271: list_poly_real] :
( ~ ( SV52 @ SY269 @ SY271 )
| ( SV52 @ ( cons_poly_real @ SY268 @ SY269 ) @ ( cons_poly_real @ SY270 @ SY271 ) ) )
| ( SV52 @ SV86 @ SV98 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[657]) ).
thf(696,plain,
! [SV87: list_poly_real,SV53: list_poly_real > $o] :
( ( ( ! [SY273: poly_real,SY274: list_poly_real] :
( ~ ! [SY275: poly_real,SY276: list_poly_real] :
( ( SY274
!= ( cons_poly_real @ SY275 @ SY276 ) )
| ( SV53 @ SY274 ) )
| ( SV53 @ ( cons_poly_real @ SY273 @ SY274 ) ) ) )
= $false )
| ( ( ~ ( SV53 @ nil_poly_real )
| ( SV53 @ SV87 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[658]) ).
thf(697,plain,
! [SV88: poly_real,SV54: list_poly_real] :
( ( ( sturm_1664866327rm_seq @ SV54 @ SV88 )
= $false )
| ( ( sturm_891428828rm_seq @ SV54 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[659]) ).
thf(698,plain,
! [SV99: list_poly_real,SV89: poly_real > poly_real > $o,SV55: ( poly_real > poly_real > $o ) > list_poly_real > $o] :
( ( ( ~ ! [SY280: poly_real > poly_real > $o] : ( SV55 @ SY280 @ nil_poly_real ) )
= $true )
| ( ( ~ ! [SY281: poly_real > poly_real > $o,SY282: poly_real] : ( SV55 @ SY281 @ ( cons_poly_real @ SY282 @ nil_poly_real ) )
| ~ ! [SY283: poly_real > poly_real > $o,SY284: poly_real,SY285: poly_real,SY286: list_poly_real] :
( ~ ( SV55 @ SY283 @ ( cons_poly_real @ SY285 @ SY286 ) )
| ( SV55 @ SY283 @ ( cons_poly_real @ SY284 @ ( cons_poly_real @ SY285 @ SY286 ) ) ) )
| ( SV55 @ SV89 @ SV99 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[660]) ).
thf(699,plain,
! [SV56: list_poly_real] :
( ( ( SV56 = nil_poly_real )
= $false )
| ( ( sturm_891428828rm_seq @ SV56 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[661]) ).
thf(700,plain,
! [SV100: list_poly_real,SV90: list_poly_real,SV57: list_poly_real > list_poly_real > $o] :
( ( ( ~ ! [SY289: list_poly_real] : ( SV57 @ nil_poly_real @ SY289 ) )
= $true )
| ( ( ~ ! [SY290: poly_real,SY291: list_poly_real,SY292: list_poly_real] :
( ~ ( SV57 @ SY292 @ SY291 )
| ( SV57 @ ( cons_poly_real @ SY290 @ SY291 ) @ SY292 ) )
| ( SV57 @ SV90 @ SV100 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[662]) ).
thf(701,plain,
! [SV91: list_poly_real,SV58: list_poly_real > $o] :
( ( ( SV58 @ nil_poly_real )
= $false )
| ( ( ~ ! [SY294: poly_real,SY295: list_poly_real] :
( ~ ( SV58 @ SY295 )
| ( SV58 @ ( cons_poly_real @ SY294 @ SY295 ) ) )
| ( SV58 @ SV91 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[663]) ).
thf(702,plain,
! [SV102: list_poly_real,SV101: list_poly_real,SV92: poly_real > poly_real,SV59: ( poly_real > poly_real ) > list_poly_real > list_poly_real > $o] :
( ( ~ ! [SY299: poly_real > poly_real,SY300: list_poly_real] : ( SV59 @ SY299 @ nil_poly_real @ SY300 )
| ~ ! [SY301: poly_real > poly_real,SY302: poly_real,SY303: list_poly_real,SY304: list_poly_real] :
( ~ ( SV59 @ SY301 @ SY303 @ ( cons_poly_real @ ( SY301 @ SY302 ) @ SY304 ) )
| ( SV59 @ SY301 @ ( cons_poly_real @ SY302 @ SY303 ) @ SY304 ) )
| ( SV59 @ SV92 @ SV101 @ SV102 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[664]) ).
thf(703,plain,
! [SV7: list_poly_real] :
( ( ( SV7 = nil_poly_real )
= $false )
| ( ( ~ ( ( SV7 != nil_poly_real )
| ~ ( null_poly_real @ SV7 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[665]) ).
thf(704,plain,
! [SV7: list_poly_real] :
( ( ( null_poly_real @ SV7 )
= $false )
| ( ( ~ ( ( SV7 != nil_poly_real )
| ~ ( null_poly_real @ SV7 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[665]) ).
thf(705,plain,
! [SV9: list_poly_real] :
( ( ( ( rotate1_poly_real @ SV9 )
= nil_poly_real )
= $false )
| ( ( ~ ( ( ( rotate1_poly_real @ SV9 )
!= nil_poly_real )
| ( SV9 != nil_poly_real ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[666]) ).
thf(706,plain,
! [SV9: list_poly_real] :
( ( ( SV9 = nil_poly_real )
= $false )
| ( ( ~ ( ( ( rotate1_poly_real @ SV9 )
!= nil_poly_real )
| ( SV9 != nil_poly_real ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[666]) ).
thf(707,plain,
! [SV62: list_poly_real,SV13: poly_real > poly_real > $o] :
( ( ( ( lexordp_eq_poly_real @ SV13 @ SV62 @ nil_poly_real )
| ( SV62 = nil_poly_real ) )
= $false )
| ( ( ~ ( ~ ( lexordp_eq_poly_real @ SV13 @ SV62 @ nil_poly_real )
| ( SV62 != nil_poly_real ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[667]) ).
thf(708,plain,
! [SV64: list_poly_real,SV18: list_poly_real] :
( ( ( ( ( append_poly_real @ SV18 @ SV64 )
= SV18 )
| ( SV64 = nil_poly_real ) )
= $false )
| ( ( ~ ( ( ( append_poly_real @ SV18 @ SV64 )
!= SV18 )
| ( SV64 != nil_poly_real ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[668]) ).
thf(709,plain,
! [SV65: list_poly_real,SV19: list_poly_real] :
( ( ( ( SV19
= ( append_poly_real @ SV19 @ SV65 ) )
| ( SV65 = nil_poly_real ) )
= $false )
| ( ( ~ ( ( SV19
!= ( append_poly_real @ SV19 @ SV65 ) )
| ( SV65 != nil_poly_real ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[669]) ).
thf(710,plain,
! [SV66: list_poly_real,SV20: list_poly_real] :
( ( ( ( ( append_poly_real @ SV20 @ SV66 )
= SV66 )
| ( SV20 = nil_poly_real ) )
= $false )
| ( ( ~ ( ( ( append_poly_real @ SV20 @ SV66 )
!= SV66 )
| ( SV20 != nil_poly_real ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[670]) ).
thf(711,plain,
! [SV67: list_poly_real,SV21: list_poly_real] :
( ( ( ( SV21
= ( append_poly_real @ SV67 @ SV21 ) )
| ( SV67 = nil_poly_real ) )
= $false )
| ( ( ~ ( ( SV21
!= ( append_poly_real @ SV67 @ SV21 ) )
| ( SV67 != nil_poly_real ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[671]) ).
thf(712,plain,
! [SV23: list_poly_real] :
( ( ( ord_le1233681790y_real @ SV23 @ nil_poly_real )
= $false )
| ( ( ~ ( ~ ( ord_le1233681790y_real @ SV23 @ nil_poly_real )
| ( SV23 != nil_poly_real ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[672]) ).
thf(713,plain,
! [SV23: list_poly_real] :
( ( ( SV23 = nil_poly_real )
= $false )
| ( ( ~ ( ~ ( ord_le1233681790y_real @ SV23 @ nil_poly_real )
| ( SV23 != nil_poly_real ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[672]) ).
thf(714,plain,
! [SV68: list_poly_real,SV29: nat] :
( ( ( ( ( rotate_poly_real @ SV29 @ SV68 )
= nil_poly_real )
| ( SV68 = nil_poly_real ) )
= $false )
| ( ( ~ ( ( ( rotate_poly_real @ SV29 @ SV68 )
!= nil_poly_real )
| ( SV68 != nil_poly_real ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[673]) ).
thf(715,plain,
! [SV69: list_poly_real,SV30: poly_real > poly_real] :
( ( ( ( ( map_po2132607150y_real @ SV30 @ SV69 )
= nil_poly_real )
| ( SV69 = nil_poly_real ) )
= $false )
| ( ( ~ ( ( ( map_po2132607150y_real @ SV30 @ SV69 )
!= nil_poly_real )
| ( SV69 != nil_poly_real ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[674]) ).
thf(716,plain,
! [SV70: list_poly_real,SV31: poly_real > poly_real] :
( ( ( ( ( map_po2132607150y_real @ SV31 @ SV70 )
= nil_poly_real )
| ( SV70 = nil_poly_real ) )
= $false )
| ( ( ~ ( ( ( map_po2132607150y_real @ SV31 @ SV70 )
!= nil_poly_real )
| ( SV70 != nil_poly_real ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[675]) ).
thf(717,plain,
! [SV71: list_poly_real,SV32: poly_real > poly_real] :
( ( ( ( nil_poly_real
= ( map_po2132607150y_real @ SV32 @ SV71 ) )
| ( SV71 = nil_poly_real ) )
= $false )
| ( ( ~ ( ( nil_poly_real
!= ( map_po2132607150y_real @ SV32 @ SV71 ) )
| ( SV71 != nil_poly_real ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[676]) ).
thf(718,plain,
! [SV33: list_poly_real] :
( ( ( SV33 != nil_poly_real )
= $false )
| ( ( ~ ( ~ ( ( SV33 != nil_poly_real ) )
| ~ ~ ! [SY194: poly_real] :
~ ~ ! [SY195: list_poly_real] :
( SV33
!= ( cons_poly_real @ SY194 @ SY195 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[677]) ).
thf(719,plain,
! [SV33: list_poly_real] :
( ( ( ~ ! [SY194: poly_real] :
~ ~ ! [SY195: list_poly_real] :
( SV33
!= ( cons_poly_real @ SY194 @ SY195 ) ) )
= $false )
| ( ( ~ ( ~ ( ( SV33 != nil_poly_real ) )
| ~ ~ ! [SY194: poly_real] :
~ ~ ! [SY195: list_poly_real] :
( SV33
!= ( cons_poly_real @ SY194 @ SY195 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[677]) ).
thf(720,plain,
! [SV73: list_poly_real,SV35: list_poly_real > $o] :
( ( ( ~ ! [SY198: poly_real] : ( SV35 @ ( cons_poly_real @ SY198 @ nil_poly_real ) ) )
= $true )
| ( ( ~ ! [SY199: poly_real,SY200: poly_real,SY201: list_poly_real] :
( ~ ( ( SY199 != SY200 )
| ( SV35 @ ( cons_poly_real @ SY199 @ SY201 ) ) )
| ~ ( ~ ( ( SY199 != SY200 ) )
| ( SV35 @ ( cons_poly_real @ SY200 @ SY201 ) ) )
| ( SV35 @ ( cons_poly_real @ SY199 @ ( cons_poly_real @ SY200 @ SY201 ) ) ) )
| ( SV35 @ SV73 ) )
= $true )
| ( ( SV35 @ nil_poly_real )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[678]) ).
thf(721,plain,
! [SV37: list_poly_real] :
( ( ( ! [SY203: poly_real,SY204: list_poly_real] :
( SV37
!= ( cons_poly_real @ SY203 @ SY204 ) ) )
= $false )
| ( ( SV37 = nil_poly_real )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[680]) ).
thf(722,plain,
! [SV93: list_poly_real,SV75: list_poly_real,SV38: list_poly_real > list_poly_real > $o] :
( ( ( ! [SY207: list_poly_real] : ( SV38 @ nil_poly_real @ SY207 ) )
= $false )
| ( ( ~ ! [SY208: list_poly_real] : ( SV38 @ SY208 @ nil_poly_real )
| ~ ! [SY209: poly_real,SY210: list_poly_real,SY211: poly_real,SY212: list_poly_real] :
( ~ ( SV38 @ SY210 @ ( cons_poly_real @ SY211 @ SY212 ) )
| ~ ( SV38 @ ( cons_poly_real @ SY209 @ SY210 ) @ SY212 )
| ( SV38 @ ( cons_poly_real @ SY209 @ SY210 ) @ ( cons_poly_real @ SY211 @ SY212 ) ) )
| ( SV38 @ SV75 @ SV93 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[681]) ).
thf(723,plain,
! [SV94: list_poly_real,SV76: list_poly_real,SV39: list_poly_real > list_poly_real > $o] :
( ( ( SV39 @ nil_poly_real @ nil_poly_real )
= $false )
| ( ( ~ ! [SY215: poly_real,SY216: list_poly_real] : ( SV39 @ ( cons_poly_real @ SY215 @ SY216 ) @ nil_poly_real )
| ~ ! [SY217: poly_real,SY218: list_poly_real] : ( SV39 @ nil_poly_real @ ( cons_poly_real @ SY217 @ SY218 ) )
| ~ ! [SY219: poly_real,SY220: list_poly_real,SY221: poly_real,SY222: list_poly_real] :
( ~ ( SV39 @ SY220 @ SY222 )
| ( SV39 @ ( cons_poly_real @ SY219 @ SY220 ) @ ( cons_poly_real @ SY221 @ SY222 ) ) )
| ( SV39 @ SV76 @ SV94 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[682]) ).
thf(724,plain,
! [SV95: list_poly_real,SV77: poly_real > poly_real > $o,SV40: ( poly_real > poly_real > $o ) > list_poly_real > $o] :
( ( ( ! [SY225: poly_real > poly_real > $o] : ( SV40 @ SY225 @ nil_poly_real ) )
= $false )
| ( ( ~ ! [SY226: poly_real > poly_real > $o,SY227: poly_real,SY228: list_poly_real] :
( ~ ( SV40 @ SY226 @ SY228 )
| ( SV40 @ SY226 @ ( cons_poly_real @ SY227 @ SY228 ) ) )
| ( SV40 @ SV77 @ SV95 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[683]) ).
thf(725,plain,
! [SV96: list_poly_real,SV78: list_poly_real,SV41: list_poly_real > list_poly_real > $o] :
( ( ( ! [SY231: poly_real,SY232: list_poly_real,SY233: poly_real,SY234: list_poly_real] :
( ~ ( SV41 @ SY232 @ SY234 )
| ( SV41 @ ( cons_poly_real @ SY231 @ SY232 ) @ ( cons_poly_real @ SY233 @ SY234 ) ) ) )
= $false )
| ( ( ~ ! [SY235: list_poly_real] : ( SV41 @ SY235 @ nil_poly_real )
| ~ ! [SY236: poly_real,SY237: list_poly_real] : ( SV41 @ nil_poly_real @ ( cons_poly_real @ SY236 @ SY237 ) )
| ( SV41 @ SV78 @ SV96 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[684]) ).
thf(726,plain,
! [SV79: list_poly_real > $o,SV42: list_poly_real] :
( ( ( SV42 = nil_poly_real )
= $true )
| ( ( ~ ! [SY338: poly_real] : ( SV79 @ ( cons_poly_real @ SY338 @ nil_poly_real ) )
| ~ ! [SY339: poly_real,SY340: list_poly_real] :
( ~ ( ( SY340 != nil_poly_real ) )
| ~ ( SV79 @ SY340 )
| ( SV79 @ ( cons_poly_real @ SY339 @ SY340 ) ) )
| ( SV79 @ SV42 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[685]) ).
thf(727,plain,
! [SV97: list_poly_real,SV80: poly_real,SV43: list_poly_real] :
( ( ( SV43
= ( cons_poly_real @ SV80 @ SV97 ) )
= $false )
| ( ( SV43 != nil_poly_real )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[686]) ).
thf(728,plain,
! [SV81: list_poly_real,SV44: list_poly_real] :
( ( ( ( nil_poly_real
= ( append_poly_real @ SV44 @ SV81 ) )
| ~ ( ( SV44 != nil_poly_real )
| ( SV81 != nil_poly_real ) ) )
= $false )
| ( ( ~ ( ( nil_poly_real
!= ( append_poly_real @ SV44 @ SV81 ) )
| ~ ~ ( ( SV44 != nil_poly_real )
| ( SV81 != nil_poly_real ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[687]) ).
thf(729,plain,
! [SV82: list_poly_real,SV45: list_poly_real > $o] :
( ( ( ~ ! [SY246: poly_real] : ( SV45 @ ( cons_poly_real @ SY246 @ nil_poly_real ) ) )
= $true )
| ( ( ~ ! [SY247: poly_real,SY248: poly_real,SY249: list_poly_real] :
( ~ ( SV45 @ SY249 )
| ~ ( SV45 @ ( cons_poly_real @ SY248 @ SY249 ) )
| ( SV45 @ ( cons_poly_real @ SY247 @ ( cons_poly_real @ SY248 @ SY249 ) ) ) )
| ( SV45 @ SV82 ) )
= $true )
| ( ( SV45 @ nil_poly_real )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[688]) ).
thf(730,plain,
! [SV83: list_poly_real,SV46: list_poly_real] :
( ( ( ( ( splice_poly_real @ SV46 @ SV83 )
= nil_poly_real )
| ~ ( ( SV46 != nil_poly_real )
| ( SV83 != nil_poly_real ) ) )
= $false )
| ( ( ~ ( ( ( splice_poly_real @ SV46 @ SV83 )
!= nil_poly_real )
| ~ ~ ( ( SV46 != nil_poly_real )
| ( SV83 != nil_poly_real ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[689]) ).
thf(731,plain,
! [SV47: list_poly_real] :
( ( ( ~ ! [SY251: poly_real] :
( SV47
!= ( cons_poly_real @ SY251 @ nil_poly_real ) ) )
= $true )
| ( ( ~ ! [SY252: poly_real,SY253: poly_real,SY254: list_poly_real] :
( SV47
!= ( cons_poly_real @ SY252 @ ( cons_poly_real @ SY253 @ SY254 ) ) ) )
= $true )
| ( ( SV47 = nil_poly_real )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[690]) ).
thf(732,plain,
! [SV48: list_poly_real] :
( ( ( ! [SY255: poly_real,SY256: list_poly_real] :
( SV48
!= ( cons_poly_real @ SY255 @ SY256 ) ) )
= $false )
| ( ( SV48 = nil_poly_real )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[691]) ).
thf(733,plain,
! [SV84: list_poly_real,SV49: list_poly_real > $o] :
( ( ( ~ ! [SY258: poly_real,SY259: list_poly_real] :
( ~ ( SV49 @ SY259 )
| ( SV49 @ ( cons_poly_real @ SY258 @ SY259 ) ) ) )
= $true )
| ( ( SV49 @ SV84 )
= $true )
| ( ( SV49 @ nil_poly_real )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[692]) ).
thf(734,plain,
! [SV85: list_poly_real,SV50: list_poly_real] :
( ( ( ( ( append_poly_real @ SV50 @ SV85 )
= nil_poly_real )
| ~ ( ( SV50 != nil_poly_real )
| ( SV85 != nil_poly_real ) ) )
= $false )
| ( ( ~ ( ( ( append_poly_real @ SV50 @ SV85 )
!= nil_poly_real )
| ~ ~ ( ( SV50 != nil_poly_real )
| ( SV85 != nil_poly_real ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[693]) ).
thf(735,plain,
! [SV51: list_poly_real] :
( ( ( SV51
!= ( cons_poly_real @ ( sK1_SY261 @ SV51 ) @ ( sK2_SY433 @ SV51 ) ) )
= $false )
| ( ( SV51 = nil_poly_real )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[694]) ).
thf(736,plain,
! [SV98: list_poly_real,SV86: list_poly_real,SV52: list_poly_real > list_poly_real > $o] :
( ( ( ! [SY265: list_poly_real] : ( SV52 @ SY265 @ nil_poly_real ) )
= $false )
| ( ( ~ ! [SY266: poly_real,SY267: list_poly_real] : ( SV52 @ nil_poly_real @ ( cons_poly_real @ SY266 @ SY267 ) )
| ~ ! [SY268: poly_real,SY269: list_poly_real,SY270: poly_real,SY271: list_poly_real] :
( ~ ( SV52 @ SY269 @ SY271 )
| ( SV52 @ ( cons_poly_real @ SY268 @ SY269 ) @ ( cons_poly_real @ SY270 @ SY271 ) ) )
| ( SV52 @ SV86 @ SV98 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[695]) ).
thf(737,plain,
! [SV87: list_poly_real,SV53: list_poly_real > $o] :
( ( ( ! [SY440: list_poly_real] :
( ~ ! [SY275: poly_real,SY276: list_poly_real] :
( ( SY440
!= ( cons_poly_real @ SY275 @ SY276 ) )
| ( SV53 @ SY440 ) )
| ( SV53 @ ( cons_poly_real @ ( sK3_SY273 @ SV87 @ SV53 ) @ SY440 ) ) ) )
= $false )
| ( ( ~ ( SV53 @ nil_poly_real )
| ( SV53 @ SV87 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[696]) ).
thf(738,plain,
! [SV99: list_poly_real,SV89: poly_real > poly_real > $o,SV55: ( poly_real > poly_real > $o ) > list_poly_real > $o] :
( ( ( ! [SY280: poly_real > poly_real > $o] : ( SV55 @ SY280 @ nil_poly_real ) )
= $false )
| ( ( ~ ! [SY281: poly_real > poly_real > $o,SY282: poly_real] : ( SV55 @ SY281 @ ( cons_poly_real @ SY282 @ nil_poly_real ) )
| ~ ! [SY283: poly_real > poly_real > $o,SY284: poly_real,SY285: poly_real,SY286: list_poly_real] :
( ~ ( SV55 @ SY283 @ ( cons_poly_real @ SY285 @ SY286 ) )
| ( SV55 @ SY283 @ ( cons_poly_real @ SY284 @ ( cons_poly_real @ SY285 @ SY286 ) ) ) )
| ( SV55 @ SV89 @ SV99 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[698]) ).
thf(739,plain,
! [SV100: list_poly_real,SV90: list_poly_real,SV57: list_poly_real > list_poly_real > $o] :
( ( ( ! [SY289: list_poly_real] : ( SV57 @ nil_poly_real @ SY289 ) )
= $false )
| ( ( ~ ! [SY290: poly_real,SY291: list_poly_real,SY292: list_poly_real] :
( ~ ( SV57 @ SY292 @ SY291 )
| ( SV57 @ ( cons_poly_real @ SY290 @ SY291 ) @ SY292 ) )
| ( SV57 @ SV90 @ SV100 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[700]) ).
thf(740,plain,
! [SV91: list_poly_real,SV58: list_poly_real > $o] :
( ( ( ~ ! [SY294: poly_real,SY295: list_poly_real] :
( ~ ( SV58 @ SY295 )
| ( SV58 @ ( cons_poly_real @ SY294 @ SY295 ) ) ) )
= $true )
| ( ( SV58 @ SV91 )
= $true )
| ( ( SV58 @ nil_poly_real )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[701]) ).
thf(741,plain,
! [SV102: list_poly_real,SV101: list_poly_real,SV92: poly_real > poly_real,SV59: ( poly_real > poly_real ) > list_poly_real > list_poly_real > $o] :
( ( ( ~ ! [SY299: poly_real > poly_real,SY300: list_poly_real] : ( SV59 @ SY299 @ nil_poly_real @ SY300 ) )
= $true )
| ( ( ~ ! [SY301: poly_real > poly_real,SY302: poly_real,SY303: list_poly_real,SY304: list_poly_real] :
( ~ ( SV59 @ SY301 @ SY303 @ ( cons_poly_real @ ( SY301 @ SY302 ) @ SY304 ) )
| ( SV59 @ SY301 @ ( cons_poly_real @ SY302 @ SY303 ) @ SY304 ) )
| ( SV59 @ SV92 @ SV101 @ SV102 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[702]) ).
thf(742,plain,
! [SV7: list_poly_real] :
( ( ( ( SV7 != nil_poly_real )
| ~ ( null_poly_real @ SV7 ) )
= $false )
| ( ( SV7 = nil_poly_real )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[703]) ).
thf(743,plain,
! [SV7: list_poly_real] :
( ( ( ( SV7 != nil_poly_real )
| ~ ( null_poly_real @ SV7 ) )
= $false )
| ( ( null_poly_real @ SV7 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[704]) ).
thf(744,plain,
! [SV9: list_poly_real] :
( ( ( ( ( rotate1_poly_real @ SV9 )
!= nil_poly_real )
| ( SV9 != nil_poly_real ) )
= $false )
| ( ( ( rotate1_poly_real @ SV9 )
= nil_poly_real )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[705]) ).
thf(745,plain,
! [SV9: list_poly_real] :
( ( ( ( ( rotate1_poly_real @ SV9 )
!= nil_poly_real )
| ( SV9 != nil_poly_real ) )
= $false )
| ( ( SV9 = nil_poly_real )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[706]) ).
thf(746,plain,
! [SV62: list_poly_real,SV13: poly_real > poly_real > $o] :
( ( ( lexordp_eq_poly_real @ SV13 @ SV62 @ nil_poly_real )
= $false )
| ( ( ~ ( ~ ( lexordp_eq_poly_real @ SV13 @ SV62 @ nil_poly_real )
| ( SV62 != nil_poly_real ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[707]) ).
thf(747,plain,
! [SV13: poly_real > poly_real > $o,SV62: list_poly_real] :
( ( ( SV62 = nil_poly_real )
= $false )
| ( ( ~ ( ~ ( lexordp_eq_poly_real @ SV13 @ SV62 @ nil_poly_real )
| ( SV62 != nil_poly_real ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[707]) ).
thf(748,plain,
! [SV64: list_poly_real,SV18: list_poly_real] :
( ( ( ( append_poly_real @ SV18 @ SV64 )
= SV18 )
= $false )
| ( ( ~ ( ( ( append_poly_real @ SV18 @ SV64 )
!= SV18 )
| ( SV64 != nil_poly_real ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[708]) ).
thf(749,plain,
! [SV18: list_poly_real,SV64: list_poly_real] :
( ( ( SV64 = nil_poly_real )
= $false )
| ( ( ~ ( ( ( append_poly_real @ SV18 @ SV64 )
!= SV18 )
| ( SV64 != nil_poly_real ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[708]) ).
thf(750,plain,
! [SV65: list_poly_real,SV19: list_poly_real] :
( ( ( SV19
= ( append_poly_real @ SV19 @ SV65 ) )
= $false )
| ( ( ~ ( ( SV19
!= ( append_poly_real @ SV19 @ SV65 ) )
| ( SV65 != nil_poly_real ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[709]) ).
thf(751,plain,
! [SV19: list_poly_real,SV65: list_poly_real] :
( ( ( SV65 = nil_poly_real )
= $false )
| ( ( ~ ( ( SV19
!= ( append_poly_real @ SV19 @ SV65 ) )
| ( SV65 != nil_poly_real ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[709]) ).
thf(752,plain,
! [SV66: list_poly_real,SV20: list_poly_real] :
( ( ( ( append_poly_real @ SV20 @ SV66 )
= SV66 )
= $false )
| ( ( ~ ( ( ( append_poly_real @ SV20 @ SV66 )
!= SV66 )
| ( SV20 != nil_poly_real ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[710]) ).
thf(753,plain,
! [SV66: list_poly_real,SV20: list_poly_real] :
( ( ( SV20 = nil_poly_real )
= $false )
| ( ( ~ ( ( ( append_poly_real @ SV20 @ SV66 )
!= SV66 )
| ( SV20 != nil_poly_real ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[710]) ).
thf(754,plain,
! [SV67: list_poly_real,SV21: list_poly_real] :
( ( ( SV21
= ( append_poly_real @ SV67 @ SV21 ) )
= $false )
| ( ( ~ ( ( SV21
!= ( append_poly_real @ SV67 @ SV21 ) )
| ( SV67 != nil_poly_real ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[711]) ).
thf(755,plain,
! [SV21: list_poly_real,SV67: list_poly_real] :
( ( ( SV67 = nil_poly_real )
= $false )
| ( ( ~ ( ( SV21
!= ( append_poly_real @ SV67 @ SV21 ) )
| ( SV67 != nil_poly_real ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[711]) ).
thf(756,plain,
! [SV23: list_poly_real] :
( ( ( ~ ( ord_le1233681790y_real @ SV23 @ nil_poly_real )
| ( SV23 != nil_poly_real ) )
= $false )
| ( ( ord_le1233681790y_real @ SV23 @ nil_poly_real )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[712]) ).
thf(757,plain,
! [SV23: list_poly_real] :
( ( ( ~ ( ord_le1233681790y_real @ SV23 @ nil_poly_real )
| ( SV23 != nil_poly_real ) )
= $false )
| ( ( SV23 = nil_poly_real )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[713]) ).
thf(758,plain,
! [SV68: list_poly_real,SV29: nat] :
( ( ( ( rotate_poly_real @ SV29 @ SV68 )
= nil_poly_real )
= $false )
| ( ( ~ ( ( ( rotate_poly_real @ SV29 @ SV68 )
!= nil_poly_real )
| ( SV68 != nil_poly_real ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[714]) ).
thf(759,plain,
! [SV29: nat,SV68: list_poly_real] :
( ( ( SV68 = nil_poly_real )
= $false )
| ( ( ~ ( ( ( rotate_poly_real @ SV29 @ SV68 )
!= nil_poly_real )
| ( SV68 != nil_poly_real ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[714]) ).
thf(760,plain,
! [SV69: list_poly_real,SV30: poly_real > poly_real] :
( ( ( ( map_po2132607150y_real @ SV30 @ SV69 )
= nil_poly_real )
= $false )
| ( ( ~ ( ( ( map_po2132607150y_real @ SV30 @ SV69 )
!= nil_poly_real )
| ( SV69 != nil_poly_real ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[715]) ).
thf(761,plain,
! [SV30: poly_real > poly_real,SV69: list_poly_real] :
( ( ( SV69 = nil_poly_real )
= $false )
| ( ( ~ ( ( ( map_po2132607150y_real @ SV30 @ SV69 )
!= nil_poly_real )
| ( SV69 != nil_poly_real ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[715]) ).
thf(762,plain,
! [SV70: list_poly_real,SV31: poly_real > poly_real] :
( ( ( ( map_po2132607150y_real @ SV31 @ SV70 )
= nil_poly_real )
= $false )
| ( ( ~ ( ( ( map_po2132607150y_real @ SV31 @ SV70 )
!= nil_poly_real )
| ( SV70 != nil_poly_real ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[716]) ).
thf(763,plain,
! [SV31: poly_real > poly_real,SV70: list_poly_real] :
( ( ( SV70 = nil_poly_real )
= $false )
| ( ( ~ ( ( ( map_po2132607150y_real @ SV31 @ SV70 )
!= nil_poly_real )
| ( SV70 != nil_poly_real ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[716]) ).
thf(764,plain,
! [SV71: list_poly_real,SV32: poly_real > poly_real] :
( ( ( nil_poly_real
= ( map_po2132607150y_real @ SV32 @ SV71 ) )
= $false )
| ( ( ~ ( ( nil_poly_real
!= ( map_po2132607150y_real @ SV32 @ SV71 ) )
| ( SV71 != nil_poly_real ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[717]) ).
thf(765,plain,
! [SV32: poly_real > poly_real,SV71: list_poly_real] :
( ( ( SV71 = nil_poly_real )
= $false )
| ( ( ~ ( ( nil_poly_real
!= ( map_po2132607150y_real @ SV32 @ SV71 ) )
| ( SV71 != nil_poly_real ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[717]) ).
thf(766,plain,
! [SV33: list_poly_real] :
( ( ( SV33 = nil_poly_real )
= $true )
| ( ( ~ ( ~ ( ( SV33 != nil_poly_real ) )
| ~ ~ ! [SY194: poly_real] :
~ ~ ! [SY195: list_poly_real] :
( SV33
!= ( cons_poly_real @ SY194 @ SY195 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[718]) ).
thf(767,plain,
! [SV33: list_poly_real] :
( ( ( ! [SY194: poly_real] :
~ ~ ! [SY195: list_poly_real] :
( SV33
!= ( cons_poly_real @ SY194 @ SY195 ) ) )
= $true )
| ( ( ~ ( ~ ( ( SV33 != nil_poly_real ) )
| ~ ~ ! [SY194: poly_real] :
~ ~ ! [SY195: list_poly_real] :
( SV33
!= ( cons_poly_real @ SY194 @ SY195 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[719]) ).
thf(768,plain,
! [SV73: list_poly_real,SV35: list_poly_real > $o] :
( ( ( ! [SY198: poly_real] : ( SV35 @ ( cons_poly_real @ SY198 @ nil_poly_real ) ) )
= $false )
| ( ( ~ ! [SY199: poly_real,SY200: poly_real,SY201: list_poly_real] :
( ~ ( ( SY199 != SY200 )
| ( SV35 @ ( cons_poly_real @ SY199 @ SY201 ) ) )
| ~ ( ~ ( ( SY199 != SY200 ) )
| ( SV35 @ ( cons_poly_real @ SY200 @ SY201 ) ) )
| ( SV35 @ ( cons_poly_real @ SY199 @ ( cons_poly_real @ SY200 @ SY201 ) ) ) )
| ( SV35 @ SV73 ) )
= $true )
| ( ( SV35 @ nil_poly_real )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[720]) ).
thf(769,plain,
! [SV37: list_poly_real] :
( ( ( ! [SY443: list_poly_real] :
( SV37
!= ( cons_poly_real @ ( sK4_SY203 @ SV37 ) @ SY443 ) ) )
= $false )
| ( ( SV37 = nil_poly_real )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[721]) ).
thf(770,plain,
! [SV75: list_poly_real,SV93: list_poly_real,SV38: list_poly_real > list_poly_real > $o] :
( ( ( SV38 @ nil_poly_real @ ( sK5_SY207 @ SV93 @ SV75 @ SV38 ) )
= $false )
| ( ( ~ ! [SY208: list_poly_real] : ( SV38 @ SY208 @ nil_poly_real )
| ~ ! [SY209: poly_real,SY210: list_poly_real,SY211: poly_real,SY212: list_poly_real] :
( ~ ( SV38 @ SY210 @ ( cons_poly_real @ SY211 @ SY212 ) )
| ~ ( SV38 @ ( cons_poly_real @ SY209 @ SY210 ) @ SY212 )
| ( SV38 @ ( cons_poly_real @ SY209 @ SY210 ) @ ( cons_poly_real @ SY211 @ SY212 ) ) )
| ( SV38 @ SV75 @ SV93 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[722]) ).
thf(771,plain,
! [SV94: list_poly_real,SV76: list_poly_real,SV39: list_poly_real > list_poly_real > $o] :
( ( ( ~ ! [SY215: poly_real,SY216: list_poly_real] : ( SV39 @ ( cons_poly_real @ SY215 @ SY216 ) @ nil_poly_real ) )
= $true )
| ( ( ~ ! [SY217: poly_real,SY218: list_poly_real] : ( SV39 @ nil_poly_real @ ( cons_poly_real @ SY217 @ SY218 ) )
| ~ ! [SY219: poly_real,SY220: list_poly_real,SY221: poly_real,SY222: list_poly_real] :
( ~ ( SV39 @ SY220 @ SY222 )
| ( SV39 @ ( cons_poly_real @ SY219 @ SY220 ) @ ( cons_poly_real @ SY221 @ SY222 ) ) )
| ( SV39 @ SV76 @ SV94 ) )
= $true )
| ( ( SV39 @ nil_poly_real @ nil_poly_real )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[723]) ).
thf(772,plain,
! [SV77: poly_real > poly_real > $o,SV95: list_poly_real,SV40: ( poly_real > poly_real > $o ) > list_poly_real > $o] :
( ( ( SV40 @ ( sK6_SY225 @ SV95 @ SV77 @ SV40 ) @ nil_poly_real )
= $false )
| ( ( ~ ! [SY226: poly_real > poly_real > $o,SY227: poly_real,SY228: list_poly_real] :
( ~ ( SV40 @ SY226 @ SY228 )
| ( SV40 @ SY226 @ ( cons_poly_real @ SY227 @ SY228 ) ) )
| ( SV40 @ SV77 @ SV95 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[724]) ).
thf(773,plain,
! [SV78: list_poly_real,SV96: list_poly_real,SV41: list_poly_real > list_poly_real > $o] :
( ( ( ! [SY444: list_poly_real,SY445: poly_real,SY446: list_poly_real] :
( ~ ( SV41 @ SY444 @ SY446 )
| ( SV41 @ ( cons_poly_real @ ( sK7_SY231 @ SV96 @ SV78 @ SV41 ) @ SY444 ) @ ( cons_poly_real @ SY445 @ SY446 ) ) ) )
= $false )
| ( ( ~ ! [SY235: list_poly_real] : ( SV41 @ SY235 @ nil_poly_real )
| ~ ! [SY236: poly_real,SY237: list_poly_real] : ( SV41 @ nil_poly_real @ ( cons_poly_real @ SY236 @ SY237 ) )
| ( SV41 @ SV78 @ SV96 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[725]) ).
thf(774,plain,
! [SV42: list_poly_real,SV79: list_poly_real > $o] :
( ( ( ~ ! [SY338: poly_real] : ( SV79 @ ( cons_poly_real @ SY338 @ nil_poly_real ) ) )
= $true )
| ( ( ~ ! [SY339: poly_real,SY340: list_poly_real] :
( ~ ( ( SY340 != nil_poly_real ) )
| ~ ( SV79 @ SY340 )
| ( SV79 @ ( cons_poly_real @ SY339 @ SY340 ) ) )
| ( SV79 @ SV42 ) )
= $true )
| ( ( SV42 = nil_poly_real )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[726]) ).
thf(775,plain,
! [SV97: list_poly_real,SV80: poly_real,SV43: list_poly_real] :
( ( ( SV43 = nil_poly_real )
= $false )
| ( ( SV43
= ( cons_poly_real @ SV80 @ SV97 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[727]) ).
thf(776,plain,
! [SV81: list_poly_real,SV44: list_poly_real] :
( ( ( nil_poly_real
= ( append_poly_real @ SV44 @ SV81 ) )
= $false )
| ( ( ~ ( ( nil_poly_real
!= ( append_poly_real @ SV44 @ SV81 ) )
| ~ ~ ( ( SV44 != nil_poly_real )
| ( SV81 != nil_poly_real ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[728]) ).
thf(777,plain,
! [SV81: list_poly_real,SV44: list_poly_real] :
( ( ( ~ ( ( SV44 != nil_poly_real )
| ( SV81 != nil_poly_real ) ) )
= $false )
| ( ( ~ ( ( nil_poly_real
!= ( append_poly_real @ SV44 @ SV81 ) )
| ~ ~ ( ( SV44 != nil_poly_real )
| ( SV81 != nil_poly_real ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[728]) ).
thf(778,plain,
! [SV82: list_poly_real,SV45: list_poly_real > $o] :
( ( ( ! [SY246: poly_real] : ( SV45 @ ( cons_poly_real @ SY246 @ nil_poly_real ) ) )
= $false )
| ( ( ~ ! [SY247: poly_real,SY248: poly_real,SY249: list_poly_real] :
( ~ ( SV45 @ SY249 )
| ~ ( SV45 @ ( cons_poly_real @ SY248 @ SY249 ) )
| ( SV45 @ ( cons_poly_real @ SY247 @ ( cons_poly_real @ SY248 @ SY249 ) ) ) )
| ( SV45 @ SV82 ) )
= $true )
| ( ( SV45 @ nil_poly_real )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[729]) ).
thf(779,plain,
! [SV83: list_poly_real,SV46: list_poly_real] :
( ( ( ( splice_poly_real @ SV46 @ SV83 )
= nil_poly_real )
= $false )
| ( ( ~ ( ( ( splice_poly_real @ SV46 @ SV83 )
!= nil_poly_real )
| ~ ~ ( ( SV46 != nil_poly_real )
| ( SV83 != nil_poly_real ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[730]) ).
thf(780,plain,
! [SV83: list_poly_real,SV46: list_poly_real] :
( ( ( ~ ( ( SV46 != nil_poly_real )
| ( SV83 != nil_poly_real ) ) )
= $false )
| ( ( ~ ( ( ( splice_poly_real @ SV46 @ SV83 )
!= nil_poly_real )
| ~ ~ ( ( SV46 != nil_poly_real )
| ( SV83 != nil_poly_real ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[730]) ).
thf(781,plain,
! [SV47: list_poly_real] :
( ( ( ! [SY251: poly_real] :
( SV47
!= ( cons_poly_real @ SY251 @ nil_poly_real ) ) )
= $false )
| ( ( ~ ! [SY252: poly_real,SY253: poly_real,SY254: list_poly_real] :
( SV47
!= ( cons_poly_real @ SY252 @ ( cons_poly_real @ SY253 @ SY254 ) ) ) )
= $true )
| ( ( SV47 = nil_poly_real )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[731]) ).
thf(782,plain,
! [SV48: list_poly_real] :
( ( ( ! [SY447: list_poly_real] :
( SV48
!= ( cons_poly_real @ ( sK8_SY255 @ SV48 ) @ SY447 ) ) )
= $false )
| ( ( SV48 = nil_poly_real )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[732]) ).
thf(783,plain,
! [SV84: list_poly_real,SV49: list_poly_real > $o] :
( ( ( ! [SY258: poly_real,SY259: list_poly_real] :
( ~ ( SV49 @ SY259 )
| ( SV49 @ ( cons_poly_real @ SY258 @ SY259 ) ) ) )
= $false )
| ( ( SV49 @ SV84 )
= $true )
| ( ( SV49 @ nil_poly_real )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[733]) ).
thf(784,plain,
! [SV85: list_poly_real,SV50: list_poly_real] :
( ( ( ( append_poly_real @ SV50 @ SV85 )
= nil_poly_real )
= $false )
| ( ( ~ ( ( ( append_poly_real @ SV50 @ SV85 )
!= nil_poly_real )
| ~ ~ ( ( SV50 != nil_poly_real )
| ( SV85 != nil_poly_real ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[734]) ).
thf(785,plain,
! [SV85: list_poly_real,SV50: list_poly_real] :
( ( ( ~ ( ( SV50 != nil_poly_real )
| ( SV85 != nil_poly_real ) ) )
= $false )
| ( ( ~ ( ( ( append_poly_real @ SV50 @ SV85 )
!= nil_poly_real )
| ~ ~ ( ( SV50 != nil_poly_real )
| ( SV85 != nil_poly_real ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[734]) ).
thf(786,plain,
! [SV51: list_poly_real] :
( ( ( SV51
= ( cons_poly_real @ ( sK1_SY261 @ SV51 ) @ ( sK2_SY433 @ SV51 ) ) )
= $true )
| ( ( SV51 = nil_poly_real )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[735]) ).
thf(787,plain,
! [SV86: list_poly_real,SV98: list_poly_real,SV52: list_poly_real > list_poly_real > $o] :
( ( ( SV52 @ ( sK9_SY265 @ SV98 @ SV86 @ SV52 ) @ nil_poly_real )
= $false )
| ( ( ~ ! [SY266: poly_real,SY267: list_poly_real] : ( SV52 @ nil_poly_real @ ( cons_poly_real @ SY266 @ SY267 ) )
| ~ ! [SY268: poly_real,SY269: list_poly_real,SY270: poly_real,SY271: list_poly_real] :
( ~ ( SV52 @ SY269 @ SY271 )
| ( SV52 @ ( cons_poly_real @ SY268 @ SY269 ) @ ( cons_poly_real @ SY270 @ SY271 ) ) )
| ( SV52 @ SV86 @ SV98 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[736]) ).
thf(788,plain,
! [SV53: list_poly_real > $o,SV87: list_poly_real] :
( ( ( ~ ! [SY448: poly_real,SY449: list_poly_real] :
( ( ( sK10_SY440 @ SV87 @ SV53 )
!= ( cons_poly_real @ SY448 @ SY449 ) )
| ( SV53 @ ( sK10_SY440 @ SV87 @ SV53 ) ) )
| ( SV53 @ ( cons_poly_real @ ( sK3_SY273 @ SV87 @ SV53 ) @ ( sK10_SY440 @ SV87 @ SV53 ) ) ) )
= $false )
| ( ( ~ ( SV53 @ nil_poly_real )
| ( SV53 @ SV87 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[737]) ).
thf(789,plain,
! [SV89: poly_real > poly_real > $o,SV99: list_poly_real,SV55: ( poly_real > poly_real > $o ) > list_poly_real > $o] :
( ( ( SV55 @ ( sK11_SY280 @ SV99 @ SV89 @ SV55 ) @ nil_poly_real )
= $false )
| ( ( ~ ! [SY281: poly_real > poly_real > $o,SY282: poly_real] : ( SV55 @ SY281 @ ( cons_poly_real @ SY282 @ nil_poly_real ) )
| ~ ! [SY283: poly_real > poly_real > $o,SY284: poly_real,SY285: poly_real,SY286: list_poly_real] :
( ~ ( SV55 @ SY283 @ ( cons_poly_real @ SY285 @ SY286 ) )
| ( SV55 @ SY283 @ ( cons_poly_real @ SY284 @ ( cons_poly_real @ SY285 @ SY286 ) ) ) )
| ( SV55 @ SV89 @ SV99 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[738]) ).
thf(790,plain,
! [SV90: list_poly_real,SV100: list_poly_real,SV57: list_poly_real > list_poly_real > $o] :
( ( ( SV57 @ nil_poly_real @ ( sK12_SY289 @ SV100 @ SV90 @ SV57 ) )
= $false )
| ( ( ~ ! [SY290: poly_real,SY291: list_poly_real,SY292: list_poly_real] :
( ~ ( SV57 @ SY292 @ SY291 )
| ( SV57 @ ( cons_poly_real @ SY290 @ SY291 ) @ SY292 ) )
| ( SV57 @ SV90 @ SV100 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[739]) ).
thf(791,plain,
! [SV91: list_poly_real,SV58: list_poly_real > $o] :
( ( ( ! [SY294: poly_real,SY295: list_poly_real] :
( ~ ( SV58 @ SY295 )
| ( SV58 @ ( cons_poly_real @ SY294 @ SY295 ) ) ) )
= $false )
| ( ( SV58 @ SV91 )
= $true )
| ( ( SV58 @ nil_poly_real )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[740]) ).
thf(792,plain,
! [SV102: list_poly_real,SV101: list_poly_real,SV92: poly_real > poly_real,SV59: ( poly_real > poly_real ) > list_poly_real > list_poly_real > $o] :
( ( ( ! [SY299: poly_real > poly_real,SY300: list_poly_real] : ( SV59 @ SY299 @ nil_poly_real @ SY300 ) )
= $false )
| ( ( ~ ! [SY301: poly_real > poly_real,SY302: poly_real,SY303: list_poly_real,SY304: list_poly_real] :
( ~ ( SV59 @ SY301 @ SY303 @ ( cons_poly_real @ ( SY301 @ SY302 ) @ SY304 ) )
| ( SV59 @ SY301 @ ( cons_poly_real @ SY302 @ SY303 ) @ SY304 ) )
| ( SV59 @ SV92 @ SV101 @ SV102 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[741]) ).
thf(793,plain,
! [SV7: list_poly_real] :
( ( ( SV7 != nil_poly_real )
= $false )
| ( ( SV7 = nil_poly_real )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[742]) ).
thf(794,plain,
! [SV7: list_poly_real] :
( ( ( ~ ( null_poly_real @ SV7 ) )
= $false )
| ( ( SV7 = nil_poly_real )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[742]) ).
thf(795,plain,
! [SV7: list_poly_real] :
( ( ( SV7 != nil_poly_real )
= $false )
| ( ( null_poly_real @ SV7 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[743]) ).
thf(796,plain,
! [SV7: list_poly_real] :
( ( ( ~ ( null_poly_real @ SV7 ) )
= $false )
| ( ( null_poly_real @ SV7 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[743]) ).
thf(797,plain,
! [SV9: list_poly_real] :
( ( ( ( rotate1_poly_real @ SV9 )
!= nil_poly_real )
= $false )
| ( ( ( rotate1_poly_real @ SV9 )
= nil_poly_real )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[744]) ).
thf(798,plain,
! [SV9: list_poly_real] :
( ( ( SV9 != nil_poly_real )
= $false )
| ( ( ( rotate1_poly_real @ SV9 )
= nil_poly_real )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[744]) ).
thf(799,plain,
! [SV9: list_poly_real] :
( ( ( ( rotate1_poly_real @ SV9 )
!= nil_poly_real )
= $false )
| ( ( SV9 = nil_poly_real )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[745]) ).
thf(800,plain,
! [SV9: list_poly_real] :
( ( ( SV9 != nil_poly_real )
= $false )
| ( ( SV9 = nil_poly_real )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[745]) ).
thf(801,plain,
! [SV62: list_poly_real,SV13: poly_real > poly_real > $o] :
( ( ( ~ ( lexordp_eq_poly_real @ SV13 @ SV62 @ nil_poly_real )
| ( SV62 != nil_poly_real ) )
= $false )
| ( ( lexordp_eq_poly_real @ SV13 @ SV62 @ nil_poly_real )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[746]) ).
thf(802,plain,
! [SV62: list_poly_real,SV13: poly_real > poly_real > $o] :
( ( ( ~ ( lexordp_eq_poly_real @ SV13 @ SV62 @ nil_poly_real )
| ( SV62 != nil_poly_real ) )
= $false )
| ( ( SV62 = nil_poly_real )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[747]) ).
thf(803,plain,
! [SV64: list_poly_real,SV18: list_poly_real] :
( ( ( ( ( append_poly_real @ SV18 @ SV64 )
!= SV18 )
| ( SV64 != nil_poly_real ) )
= $false )
| ( ( ( append_poly_real @ SV18 @ SV64 )
= SV18 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[748]) ).
thf(804,plain,
! [SV64: list_poly_real,SV18: list_poly_real] :
( ( ( ( ( append_poly_real @ SV18 @ SV64 )
!= SV18 )
| ( SV64 != nil_poly_real ) )
= $false )
| ( ( SV64 = nil_poly_real )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[749]) ).
thf(805,plain,
! [SV65: list_poly_real,SV19: list_poly_real] :
( ( ( ( SV19
!= ( append_poly_real @ SV19 @ SV65 ) )
| ( SV65 != nil_poly_real ) )
= $false )
| ( ( SV19
= ( append_poly_real @ SV19 @ SV65 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[750]) ).
thf(806,plain,
! [SV65: list_poly_real,SV19: list_poly_real] :
( ( ( ( SV19
!= ( append_poly_real @ SV19 @ SV65 ) )
| ( SV65 != nil_poly_real ) )
= $false )
| ( ( SV65 = nil_poly_real )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[751]) ).
thf(807,plain,
! [SV66: list_poly_real,SV20: list_poly_real] :
( ( ( ( ( append_poly_real @ SV20 @ SV66 )
!= SV66 )
| ( SV20 != nil_poly_real ) )
= $false )
| ( ( ( append_poly_real @ SV20 @ SV66 )
= SV66 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[752]) ).
thf(808,plain,
! [SV66: list_poly_real,SV20: list_poly_real] :
( ( ( ( ( append_poly_real @ SV20 @ SV66 )
!= SV66 )
| ( SV20 != nil_poly_real ) )
= $false )
| ( ( SV20 = nil_poly_real )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[753]) ).
thf(809,plain,
! [SV67: list_poly_real,SV21: list_poly_real] :
( ( ( ( SV21
!= ( append_poly_real @ SV67 @ SV21 ) )
| ( SV67 != nil_poly_real ) )
= $false )
| ( ( SV21
= ( append_poly_real @ SV67 @ SV21 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[754]) ).
thf(810,plain,
! [SV67: list_poly_real,SV21: list_poly_real] :
( ( ( ( SV21
!= ( append_poly_real @ SV67 @ SV21 ) )
| ( SV67 != nil_poly_real ) )
= $false )
| ( ( SV67 = nil_poly_real )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[755]) ).
thf(811,plain,
! [SV23: list_poly_real] :
( ( ( ~ ( ord_le1233681790y_real @ SV23 @ nil_poly_real ) )
= $false )
| ( ( ord_le1233681790y_real @ SV23 @ nil_poly_real )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[756]) ).
thf(812,plain,
! [SV23: list_poly_real] :
( ( ( SV23 != nil_poly_real )
= $false )
| ( ( ord_le1233681790y_real @ SV23 @ nil_poly_real )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[756]) ).
thf(813,plain,
! [SV23: list_poly_real] :
( ( ( ~ ( ord_le1233681790y_real @ SV23 @ nil_poly_real ) )
= $false )
| ( ( SV23 = nil_poly_real )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[757]) ).
thf(814,plain,
! [SV23: list_poly_real] :
( ( ( SV23 != nil_poly_real )
= $false )
| ( ( SV23 = nil_poly_real )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[757]) ).
thf(815,plain,
! [SV68: list_poly_real,SV29: nat] :
( ( ( ( ( rotate_poly_real @ SV29 @ SV68 )
!= nil_poly_real )
| ( SV68 != nil_poly_real ) )
= $false )
| ( ( ( rotate_poly_real @ SV29 @ SV68 )
= nil_poly_real )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[758]) ).
thf(816,plain,
! [SV68: list_poly_real,SV29: nat] :
( ( ( ( ( rotate_poly_real @ SV29 @ SV68 )
!= nil_poly_real )
| ( SV68 != nil_poly_real ) )
= $false )
| ( ( SV68 = nil_poly_real )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[759]) ).
thf(817,plain,
! [SV69: list_poly_real,SV30: poly_real > poly_real] :
( ( ( ( ( map_po2132607150y_real @ SV30 @ SV69 )
!= nil_poly_real )
| ( SV69 != nil_poly_real ) )
= $false )
| ( ( ( map_po2132607150y_real @ SV30 @ SV69 )
= nil_poly_real )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[760]) ).
thf(818,plain,
! [SV69: list_poly_real,SV30: poly_real > poly_real] :
( ( ( ( ( map_po2132607150y_real @ SV30 @ SV69 )
!= nil_poly_real )
| ( SV69 != nil_poly_real ) )
= $false )
| ( ( SV69 = nil_poly_real )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[761]) ).
thf(819,plain,
! [SV70: list_poly_real,SV31: poly_real > poly_real] :
( ( ( ( ( map_po2132607150y_real @ SV31 @ SV70 )
!= nil_poly_real )
| ( SV70 != nil_poly_real ) )
= $false )
| ( ( ( map_po2132607150y_real @ SV31 @ SV70 )
= nil_poly_real )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[762]) ).
thf(820,plain,
! [SV70: list_poly_real,SV31: poly_real > poly_real] :
( ( ( ( ( map_po2132607150y_real @ SV31 @ SV70 )
!= nil_poly_real )
| ( SV70 != nil_poly_real ) )
= $false )
| ( ( SV70 = nil_poly_real )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[763]) ).
thf(821,plain,
! [SV71: list_poly_real,SV32: poly_real > poly_real] :
( ( ( ( nil_poly_real
!= ( map_po2132607150y_real @ SV32 @ SV71 ) )
| ( SV71 != nil_poly_real ) )
= $false )
| ( ( nil_poly_real
= ( map_po2132607150y_real @ SV32 @ SV71 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[764]) ).
thf(822,plain,
! [SV71: list_poly_real,SV32: poly_real > poly_real] :
( ( ( ( nil_poly_real
!= ( map_po2132607150y_real @ SV32 @ SV71 ) )
| ( SV71 != nil_poly_real ) )
= $false )
| ( ( SV71 = nil_poly_real )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[765]) ).
thf(823,plain,
! [SV33: list_poly_real] :
( ( ( ~ ( ( SV33 != nil_poly_real ) )
| ~ ~ ! [SY194: poly_real] :
~ ~ ! [SY195: list_poly_real] :
( SV33
!= ( cons_poly_real @ SY194 @ SY195 ) ) )
= $false )
| ( ( SV33 = nil_poly_real )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[766]) ).
thf(824,plain,
! [SV103: poly_real,SV33: list_poly_real] :
( ( ( ~ ~ ! [SY450: list_poly_real] :
( SV33
!= ( cons_poly_real @ SV103 @ SY450 ) ) )
= $true )
| ( ( ~ ( ~ ( ( SV33 != nil_poly_real ) )
| ~ ~ ! [SY194: poly_real] :
~ ~ ! [SY195: list_poly_real] :
( SV33
!= ( cons_poly_real @ SY194 @ SY195 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[767]) ).
thf(825,plain,
! [SV73: list_poly_real,SV35: list_poly_real > $o] :
( ( ( SV35 @ ( cons_poly_real @ ( sK13_SY198 @ SV73 @ SV35 ) @ nil_poly_real ) )
= $false )
| ( ( ~ ! [SY199: poly_real,SY200: poly_real,SY201: list_poly_real] :
( ~ ( ( SY199 != SY200 )
| ( SV35 @ ( cons_poly_real @ SY199 @ SY201 ) ) )
| ~ ( ~ ( ( SY199 != SY200 ) )
| ( SV35 @ ( cons_poly_real @ SY200 @ SY201 ) ) )
| ( SV35 @ ( cons_poly_real @ SY199 @ ( cons_poly_real @ SY200 @ SY201 ) ) ) )
| ( SV35 @ SV73 ) )
= $true )
| ( ( SV35 @ nil_poly_real )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[768]) ).
thf(826,plain,
! [SV37: list_poly_real] :
( ( ( SV37
!= ( cons_poly_real @ ( sK4_SY203 @ SV37 ) @ ( sK14_SY443 @ SV37 ) ) )
= $false )
| ( ( SV37 = nil_poly_real )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[769]) ).
thf(827,plain,
! [SV93: list_poly_real,SV75: list_poly_real,SV38: list_poly_real > list_poly_real > $o] :
( ( ( ~ ! [SY208: list_poly_real] : ( SV38 @ SY208 @ nil_poly_real ) )
= $true )
| ( ( ~ ! [SY209: poly_real,SY210: list_poly_real,SY211: poly_real,SY212: list_poly_real] :
( ~ ( SV38 @ SY210 @ ( cons_poly_real @ SY211 @ SY212 ) )
| ~ ( SV38 @ ( cons_poly_real @ SY209 @ SY210 ) @ SY212 )
| ( SV38 @ ( cons_poly_real @ SY209 @ SY210 ) @ ( cons_poly_real @ SY211 @ SY212 ) ) )
| ( SV38 @ SV75 @ SV93 ) )
= $true )
| ( ( SV38 @ nil_poly_real @ ( sK5_SY207 @ SV93 @ SV75 @ SV38 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[770]) ).
thf(828,plain,
! [SV94: list_poly_real,SV76: list_poly_real,SV39: list_poly_real > list_poly_real > $o] :
( ( ( ! [SY215: poly_real,SY216: list_poly_real] : ( SV39 @ ( cons_poly_real @ SY215 @ SY216 ) @ nil_poly_real ) )
= $false )
| ( ( ~ ! [SY217: poly_real,SY218: list_poly_real] : ( SV39 @ nil_poly_real @ ( cons_poly_real @ SY217 @ SY218 ) )
| ~ ! [SY219: poly_real,SY220: list_poly_real,SY221: poly_real,SY222: list_poly_real] :
( ~ ( SV39 @ SY220 @ SY222 )
| ( SV39 @ ( cons_poly_real @ SY219 @ SY220 ) @ ( cons_poly_real @ SY221 @ SY222 ) ) )
| ( SV39 @ SV76 @ SV94 ) )
= $true )
| ( ( SV39 @ nil_poly_real @ nil_poly_real )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[771]) ).
thf(829,plain,
! [SV95: list_poly_real,SV77: poly_real > poly_real > $o,SV40: ( poly_real > poly_real > $o ) > list_poly_real > $o] :
( ( ( ~ ! [SY226: poly_real > poly_real > $o,SY227: poly_real,SY228: list_poly_real] :
( ~ ( SV40 @ SY226 @ SY228 )
| ( SV40 @ SY226 @ ( cons_poly_real @ SY227 @ SY228 ) ) ) )
= $true )
| ( ( SV40 @ SV77 @ SV95 )
= $true )
| ( ( SV40 @ ( sK6_SY225 @ SV95 @ SV77 @ SV40 ) @ nil_poly_real )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[772]) ).
thf(830,plain,
! [SV96: list_poly_real,SV78: list_poly_real,SV41: list_poly_real > list_poly_real > $o] :
( ( ( ! [SY451: poly_real,SY452: list_poly_real] :
( ~ ( SV41 @ ( sK15_SY444 @ SV78 @ SV96 @ SV41 ) @ SY452 )
| ( SV41 @ ( cons_poly_real @ ( sK7_SY231 @ SV96 @ SV78 @ SV41 ) @ ( sK15_SY444 @ SV78 @ SV96 @ SV41 ) ) @ ( cons_poly_real @ SY451 @ SY452 ) ) ) )
= $false )
| ( ( ~ ! [SY235: list_poly_real] : ( SV41 @ SY235 @ nil_poly_real )
| ~ ! [SY236: poly_real,SY237: list_poly_real] : ( SV41 @ nil_poly_real @ ( cons_poly_real @ SY236 @ SY237 ) )
| ( SV41 @ SV78 @ SV96 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[773]) ).
thf(831,plain,
! [SV42: list_poly_real,SV79: list_poly_real > $o] :
( ( ( ! [SY338: poly_real] : ( SV79 @ ( cons_poly_real @ SY338 @ nil_poly_real ) ) )
= $false )
| ( ( ~ ! [SY339: poly_real,SY340: list_poly_real] :
( ~ ( ( SY340 != nil_poly_real ) )
| ~ ( SV79 @ SY340 )
| ( SV79 @ ( cons_poly_real @ SY339 @ SY340 ) ) )
| ( SV79 @ SV42 ) )
= $true )
| ( ( SV42 = nil_poly_real )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[774]) ).
thf(832,plain,
! [SV81: list_poly_real,SV44: list_poly_real] :
( ( ( ( nil_poly_real
!= ( append_poly_real @ SV44 @ SV81 ) )
| ~ ~ ( ( SV44 != nil_poly_real )
| ( SV81 != nil_poly_real ) ) )
= $false )
| ( ( nil_poly_real
= ( append_poly_real @ SV44 @ SV81 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[776]) ).
thf(833,plain,
! [SV81: list_poly_real,SV44: list_poly_real] :
( ( ( ( SV44 != nil_poly_real )
| ( SV81 != nil_poly_real ) )
= $true )
| ( ( ~ ( ( nil_poly_real
!= ( append_poly_real @ SV44 @ SV81 ) )
| ~ ~ ( ( SV44 != nil_poly_real )
| ( SV81 != nil_poly_real ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[777]) ).
thf(834,plain,
! [SV82: list_poly_real,SV45: list_poly_real > $o] :
( ( ( SV45 @ ( cons_poly_real @ ( sK16_SY246 @ SV82 @ SV45 ) @ nil_poly_real ) )
= $false )
| ( ( ~ ! [SY247: poly_real,SY248: poly_real,SY249: list_poly_real] :
( ~ ( SV45 @ SY249 )
| ~ ( SV45 @ ( cons_poly_real @ SY248 @ SY249 ) )
| ( SV45 @ ( cons_poly_real @ SY247 @ ( cons_poly_real @ SY248 @ SY249 ) ) ) )
| ( SV45 @ SV82 ) )
= $true )
| ( ( SV45 @ nil_poly_real )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[778]) ).
thf(835,plain,
! [SV83: list_poly_real,SV46: list_poly_real] :
( ( ( ( ( splice_poly_real @ SV46 @ SV83 )
!= nil_poly_real )
| ~ ~ ( ( SV46 != nil_poly_real )
| ( SV83 != nil_poly_real ) ) )
= $false )
| ( ( ( splice_poly_real @ SV46 @ SV83 )
= nil_poly_real )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[779]) ).
thf(836,plain,
! [SV83: list_poly_real,SV46: list_poly_real] :
( ( ( ( SV46 != nil_poly_real )
| ( SV83 != nil_poly_real ) )
= $true )
| ( ( ~ ( ( ( splice_poly_real @ SV46 @ SV83 )
!= nil_poly_real )
| ~ ~ ( ( SV46 != nil_poly_real )
| ( SV83 != nil_poly_real ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[780]) ).
thf(837,plain,
! [SV47: list_poly_real] :
( ( ( SV47
!= ( cons_poly_real @ ( sK17_SY251 @ SV47 ) @ nil_poly_real ) )
= $false )
| ( ( ~ ! [SY252: poly_real,SY253: poly_real,SY254: list_poly_real] :
( SV47
!= ( cons_poly_real @ SY252 @ ( cons_poly_real @ SY253 @ SY254 ) ) ) )
= $true )
| ( ( SV47 = nil_poly_real )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[781]) ).
thf(838,plain,
! [SV48: list_poly_real] :
( ( ( SV48
!= ( cons_poly_real @ ( sK8_SY255 @ SV48 ) @ ( sK18_SY447 @ SV48 ) ) )
= $false )
| ( ( SV48 = nil_poly_real )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[782]) ).
thf(839,plain,
! [SV84: list_poly_real,SV49: list_poly_real > $o] :
( ( ( ! [SY453: list_poly_real] :
( ~ ( SV49 @ SY453 )
| ( SV49 @ ( cons_poly_real @ ( sK19_SY258 @ SV84 @ SV49 ) @ SY453 ) ) ) )
= $false )
| ( ( SV49 @ SV84 )
= $true )
| ( ( SV49 @ nil_poly_real )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[783]) ).
thf(840,plain,
! [SV85: list_poly_real,SV50: list_poly_real] :
( ( ( ( ( append_poly_real @ SV50 @ SV85 )
!= nil_poly_real )
| ~ ~ ( ( SV50 != nil_poly_real )
| ( SV85 != nil_poly_real ) ) )
= $false )
| ( ( ( append_poly_real @ SV50 @ SV85 )
= nil_poly_real )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[784]) ).
thf(841,plain,
! [SV85: list_poly_real,SV50: list_poly_real] :
( ( ( ( SV50 != nil_poly_real )
| ( SV85 != nil_poly_real ) )
= $true )
| ( ( ~ ( ( ( append_poly_real @ SV50 @ SV85 )
!= nil_poly_real )
| ~ ~ ( ( SV50 != nil_poly_real )
| ( SV85 != nil_poly_real ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[785]) ).
thf(842,plain,
! [SV98: list_poly_real,SV86: list_poly_real,SV52: list_poly_real > list_poly_real > $o] :
( ( ( ~ ! [SY266: poly_real,SY267: list_poly_real] : ( SV52 @ nil_poly_real @ ( cons_poly_real @ SY266 @ SY267 ) ) )
= $true )
| ( ( ~ ! [SY268: poly_real,SY269: list_poly_real,SY270: poly_real,SY271: list_poly_real] :
( ~ ( SV52 @ SY269 @ SY271 )
| ( SV52 @ ( cons_poly_real @ SY268 @ SY269 ) @ ( cons_poly_real @ SY270 @ SY271 ) ) )
| ( SV52 @ SV86 @ SV98 ) )
= $true )
| ( ( SV52 @ ( sK9_SY265 @ SV98 @ SV86 @ SV52 ) @ nil_poly_real )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[787]) ).
thf(843,plain,
! [SV53: list_poly_real > $o,SV87: list_poly_real] :
( ( ( ~ ! [SY448: poly_real,SY449: list_poly_real] :
( ( ( sK10_SY440 @ SV87 @ SV53 )
!= ( cons_poly_real @ SY448 @ SY449 ) )
| ( SV53 @ ( sK10_SY440 @ SV87 @ SV53 ) ) ) )
= $false )
| ( ( ~ ( SV53 @ nil_poly_real )
| ( SV53 @ SV87 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[788]) ).
thf(844,plain,
! [SV87: list_poly_real,SV53: list_poly_real > $o] :
( ( ( SV53 @ ( cons_poly_real @ ( sK3_SY273 @ SV87 @ SV53 ) @ ( sK10_SY440 @ SV87 @ SV53 ) ) )
= $false )
| ( ( ~ ( SV53 @ nil_poly_real )
| ( SV53 @ SV87 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[788]) ).
thf(845,plain,
! [SV99: list_poly_real,SV89: poly_real > poly_real > $o,SV55: ( poly_real > poly_real > $o ) > list_poly_real > $o] :
( ( ( ~ ! [SY281: poly_real > poly_real > $o,SY282: poly_real] : ( SV55 @ SY281 @ ( cons_poly_real @ SY282 @ nil_poly_real ) ) )
= $true )
| ( ( ~ ! [SY283: poly_real > poly_real > $o,SY284: poly_real,SY285: poly_real,SY286: list_poly_real] :
( ~ ( SV55 @ SY283 @ ( cons_poly_real @ SY285 @ SY286 ) )
| ( SV55 @ SY283 @ ( cons_poly_real @ SY284 @ ( cons_poly_real @ SY285 @ SY286 ) ) ) )
| ( SV55 @ SV89 @ SV99 ) )
= $true )
| ( ( SV55 @ ( sK11_SY280 @ SV99 @ SV89 @ SV55 ) @ nil_poly_real )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[789]) ).
thf(846,plain,
! [SV100: list_poly_real,SV90: list_poly_real,SV57: list_poly_real > list_poly_real > $o] :
( ( ( ~ ! [SY290: poly_real,SY291: list_poly_real,SY292: list_poly_real] :
( ~ ( SV57 @ SY292 @ SY291 )
| ( SV57 @ ( cons_poly_real @ SY290 @ SY291 ) @ SY292 ) ) )
= $true )
| ( ( SV57 @ SV90 @ SV100 )
= $true )
| ( ( SV57 @ nil_poly_real @ ( sK12_SY289 @ SV100 @ SV90 @ SV57 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[790]) ).
thf(847,plain,
! [SV91: list_poly_real,SV58: list_poly_real > $o] :
( ( ( ! [SY454: list_poly_real] :
( ~ ( SV58 @ SY454 )
| ( SV58 @ ( cons_poly_real @ ( sK20_SY294 @ SV91 @ SV58 ) @ SY454 ) ) ) )
= $false )
| ( ( SV58 @ SV91 )
= $true )
| ( ( SV58 @ nil_poly_real )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[791]) ).
thf(848,plain,
! [SV92: poly_real > poly_real,SV101: list_poly_real,SV102: list_poly_real,SV59: ( poly_real > poly_real ) > list_poly_real > list_poly_real > $o] :
( ( ( ! [SY455: list_poly_real] : ( SV59 @ ( sK21_SY299 @ SV102 @ SV101 @ SV92 @ SV59 ) @ nil_poly_real @ SY455 ) )
= $false )
| ( ( ~ ! [SY301: poly_real > poly_real,SY302: poly_real,SY303: list_poly_real,SY304: list_poly_real] :
( ~ ( SV59 @ SY301 @ SY303 @ ( cons_poly_real @ ( SY301 @ SY302 ) @ SY304 ) )
| ( SV59 @ SY301 @ ( cons_poly_real @ SY302 @ SY303 ) @ SY304 ) )
| ( SV59 @ SV92 @ SV101 @ SV102 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[792]) ).
thf(849,plain,
! [SV7: list_poly_real] :
( ( ( SV7 = nil_poly_real )
= $true )
| ( ( SV7 = nil_poly_real )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[793]) ).
thf(850,plain,
! [SV7: list_poly_real] :
( ( ( null_poly_real @ SV7 )
= $true )
| ( ( SV7 = nil_poly_real )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[794]) ).
thf(851,plain,
! [SV7: list_poly_real] :
( ( ( SV7 = nil_poly_real )
= $true )
| ( ( null_poly_real @ SV7 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[795]) ).
thf(852,plain,
! [SV7: list_poly_real] :
( ( ( null_poly_real @ SV7 )
= $true )
| ( ( null_poly_real @ SV7 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[796]) ).
thf(853,plain,
! [SV9: list_poly_real] :
( ( ( ( rotate1_poly_real @ SV9 )
= nil_poly_real )
= $true )
| ( ( ( rotate1_poly_real @ SV9 )
= nil_poly_real )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[797]) ).
thf(854,plain,
! [SV9: list_poly_real] :
( ( ( SV9 = nil_poly_real )
= $true )
| ( ( ( rotate1_poly_real @ SV9 )
= nil_poly_real )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[798]) ).
thf(855,plain,
! [SV9: list_poly_real] :
( ( ( ( rotate1_poly_real @ SV9 )
= nil_poly_real )
= $true )
| ( ( SV9 = nil_poly_real )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[799]) ).
thf(856,plain,
! [SV9: list_poly_real] :
( ( ( SV9 = nil_poly_real )
= $true )
| ( ( SV9 = nil_poly_real )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[800]) ).
thf(857,plain,
! [SV62: list_poly_real,SV13: poly_real > poly_real > $o] :
( ( ( ~ ( lexordp_eq_poly_real @ SV13 @ SV62 @ nil_poly_real ) )
= $false )
| ( ( lexordp_eq_poly_real @ SV13 @ SV62 @ nil_poly_real )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[801]) ).
thf(858,plain,
! [SV13: poly_real > poly_real > $o,SV62: list_poly_real] :
( ( ( SV62 != nil_poly_real )
= $false )
| ( ( lexordp_eq_poly_real @ SV13 @ SV62 @ nil_poly_real )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[801]) ).
thf(859,plain,
! [SV62: list_poly_real,SV13: poly_real > poly_real > $o] :
( ( ( ~ ( lexordp_eq_poly_real @ SV13 @ SV62 @ nil_poly_real ) )
= $false )
| ( ( SV62 = nil_poly_real )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[802]) ).
thf(860,plain,
! [SV62: list_poly_real] :
( ( ( SV62 != nil_poly_real )
= $false )
| ( ( SV62 = nil_poly_real )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[802]) ).
thf(861,plain,
! [SV64: list_poly_real,SV18: list_poly_real] :
( ( ( ( append_poly_real @ SV18 @ SV64 )
!= SV18 )
= $false )
| ( ( ( append_poly_real @ SV18 @ SV64 )
= SV18 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[803]) ).
thf(862,plain,
! [SV18: list_poly_real,SV64: list_poly_real] :
( ( ( SV64 != nil_poly_real )
= $false )
| ( ( ( append_poly_real @ SV18 @ SV64 )
= SV18 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[803]) ).
thf(863,plain,
! [SV64: list_poly_real,SV18: list_poly_real] :
( ( ( ( append_poly_real @ SV18 @ SV64 )
!= SV18 )
= $false )
| ( ( SV64 = nil_poly_real )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[804]) ).
thf(864,plain,
! [SV64: list_poly_real] :
( ( ( SV64 != nil_poly_real )
= $false )
| ( ( SV64 = nil_poly_real )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[804]) ).
thf(865,plain,
! [SV65: list_poly_real,SV19: list_poly_real] :
( ( ( SV19
!= ( append_poly_real @ SV19 @ SV65 ) )
= $false )
| ( ( SV19
= ( append_poly_real @ SV19 @ SV65 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[805]) ).
thf(866,plain,
! [SV19: list_poly_real,SV65: list_poly_real] :
( ( ( SV65 != nil_poly_real )
= $false )
| ( ( SV19
= ( append_poly_real @ SV19 @ SV65 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[805]) ).
thf(867,plain,
! [SV65: list_poly_real,SV19: list_poly_real] :
( ( ( SV19
!= ( append_poly_real @ SV19 @ SV65 ) )
= $false )
| ( ( SV65 = nil_poly_real )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[806]) ).
thf(868,plain,
! [SV65: list_poly_real] :
( ( ( SV65 != nil_poly_real )
= $false )
| ( ( SV65 = nil_poly_real )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[806]) ).
thf(869,plain,
! [SV66: list_poly_real,SV20: list_poly_real] :
( ( ( ( append_poly_real @ SV20 @ SV66 )
!= SV66 )
= $false )
| ( ( ( append_poly_real @ SV20 @ SV66 )
= SV66 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[807]) ).
thf(870,plain,
! [SV66: list_poly_real,SV20: list_poly_real] :
( ( ( SV20 != nil_poly_real )
= $false )
| ( ( ( append_poly_real @ SV20 @ SV66 )
= SV66 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[807]) ).
thf(871,plain,
! [SV66: list_poly_real,SV20: list_poly_real] :
( ( ( ( append_poly_real @ SV20 @ SV66 )
!= SV66 )
= $false )
| ( ( SV20 = nil_poly_real )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[808]) ).
thf(872,plain,
! [SV20: list_poly_real] :
( ( ( SV20 != nil_poly_real )
= $false )
| ( ( SV20 = nil_poly_real )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[808]) ).
thf(873,plain,
! [SV67: list_poly_real,SV21: list_poly_real] :
( ( ( SV21
!= ( append_poly_real @ SV67 @ SV21 ) )
= $false )
| ( ( SV21
= ( append_poly_real @ SV67 @ SV21 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[809]) ).
thf(874,plain,
! [SV21: list_poly_real,SV67: list_poly_real] :
( ( ( SV67 != nil_poly_real )
= $false )
| ( ( SV21
= ( append_poly_real @ SV67 @ SV21 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[809]) ).
thf(875,plain,
! [SV67: list_poly_real,SV21: list_poly_real] :
( ( ( SV21
!= ( append_poly_real @ SV67 @ SV21 ) )
= $false )
| ( ( SV67 = nil_poly_real )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[810]) ).
thf(876,plain,
! [SV67: list_poly_real] :
( ( ( SV67 != nil_poly_real )
= $false )
| ( ( SV67 = nil_poly_real )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[810]) ).
thf(877,plain,
! [SV23: list_poly_real] :
( ( ( ord_le1233681790y_real @ SV23 @ nil_poly_real )
= $true )
| ( ( ord_le1233681790y_real @ SV23 @ nil_poly_real )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[811]) ).
thf(878,plain,
! [SV23: list_poly_real] :
( ( ( SV23 = nil_poly_real )
= $true )
| ( ( ord_le1233681790y_real @ SV23 @ nil_poly_real )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[812]) ).
thf(879,plain,
! [SV23: list_poly_real] :
( ( ( ord_le1233681790y_real @ SV23 @ nil_poly_real )
= $true )
| ( ( SV23 = nil_poly_real )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[813]) ).
thf(880,plain,
! [SV23: list_poly_real] :
( ( ( SV23 = nil_poly_real )
= $true )
| ( ( SV23 = nil_poly_real )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[814]) ).
thf(881,plain,
! [SV68: list_poly_real,SV29: nat] :
( ( ( ( rotate_poly_real @ SV29 @ SV68 )
!= nil_poly_real )
= $false )
| ( ( ( rotate_poly_real @ SV29 @ SV68 )
= nil_poly_real )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[815]) ).
thf(882,plain,
! [SV29: nat,SV68: list_poly_real] :
( ( ( SV68 != nil_poly_real )
= $false )
| ( ( ( rotate_poly_real @ SV29 @ SV68 )
= nil_poly_real )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[815]) ).
thf(883,plain,
! [SV68: list_poly_real,SV29: nat] :
( ( ( ( rotate_poly_real @ SV29 @ SV68 )
!= nil_poly_real )
= $false )
| ( ( SV68 = nil_poly_real )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[816]) ).
thf(884,plain,
! [SV68: list_poly_real] :
( ( ( SV68 != nil_poly_real )
= $false )
| ( ( SV68 = nil_poly_real )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[816]) ).
thf(885,plain,
! [SV69: list_poly_real,SV30: poly_real > poly_real] :
( ( ( ( map_po2132607150y_real @ SV30 @ SV69 )
!= nil_poly_real )
= $false )
| ( ( ( map_po2132607150y_real @ SV30 @ SV69 )
= nil_poly_real )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[817]) ).
thf(886,plain,
! [SV30: poly_real > poly_real,SV69: list_poly_real] :
( ( ( SV69 != nil_poly_real )
= $false )
| ( ( ( map_po2132607150y_real @ SV30 @ SV69 )
= nil_poly_real )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[817]) ).
thf(887,plain,
! [SV69: list_poly_real,SV30: poly_real > poly_real] :
( ( ( ( map_po2132607150y_real @ SV30 @ SV69 )
!= nil_poly_real )
= $false )
| ( ( SV69 = nil_poly_real )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[818]) ).
thf(888,plain,
! [SV69: list_poly_real] :
( ( ( SV69 != nil_poly_real )
= $false )
| ( ( SV69 = nil_poly_real )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[818]) ).
thf(889,plain,
! [SV70: list_poly_real,SV31: poly_real > poly_real] :
( ( ( ( map_po2132607150y_real @ SV31 @ SV70 )
!= nil_poly_real )
= $false )
| ( ( ( map_po2132607150y_real @ SV31 @ SV70 )
= nil_poly_real )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[819]) ).
thf(890,plain,
! [SV31: poly_real > poly_real,SV70: list_poly_real] :
( ( ( SV70 != nil_poly_real )
= $false )
| ( ( ( map_po2132607150y_real @ SV31 @ SV70 )
= nil_poly_real )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[819]) ).
thf(891,plain,
! [SV70: list_poly_real,SV31: poly_real > poly_real] :
( ( ( ( map_po2132607150y_real @ SV31 @ SV70 )
!= nil_poly_real )
= $false )
| ( ( SV70 = nil_poly_real )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[820]) ).
thf(892,plain,
! [SV70: list_poly_real] :
( ( ( SV70 != nil_poly_real )
= $false )
| ( ( SV70 = nil_poly_real )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[820]) ).
thf(893,plain,
! [SV71: list_poly_real,SV32: poly_real > poly_real] :
( ( ( nil_poly_real
!= ( map_po2132607150y_real @ SV32 @ SV71 ) )
= $false )
| ( ( nil_poly_real
= ( map_po2132607150y_real @ SV32 @ SV71 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[821]) ).
thf(894,plain,
! [SV32: poly_real > poly_real,SV71: list_poly_real] :
( ( ( SV71 != nil_poly_real )
= $false )
| ( ( nil_poly_real
= ( map_po2132607150y_real @ SV32 @ SV71 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[821]) ).
thf(895,plain,
! [SV71: list_poly_real,SV32: poly_real > poly_real] :
( ( ( nil_poly_real
!= ( map_po2132607150y_real @ SV32 @ SV71 ) )
= $false )
| ( ( SV71 = nil_poly_real )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[822]) ).
thf(896,plain,
! [SV71: list_poly_real] :
( ( ( SV71 != nil_poly_real )
= $false )
| ( ( SV71 = nil_poly_real )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[822]) ).
thf(897,plain,
! [SV33: list_poly_real] :
( ( ( ~ ( ( SV33 != nil_poly_real ) ) )
= $false )
| ( ( SV33 = nil_poly_real )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[823]) ).
thf(898,plain,
! [SV33: list_poly_real] :
( ( ( ~ ~ ! [SY194: poly_real] :
~ ~ ! [SY195: list_poly_real] :
( SV33
!= ( cons_poly_real @ SY194 @ SY195 ) ) )
= $false )
| ( ( SV33 = nil_poly_real )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[823]) ).
thf(899,plain,
! [SV103: poly_real,SV33: list_poly_real] :
( ( ( ~ ! [SY450: list_poly_real] :
( SV33
!= ( cons_poly_real @ SV103 @ SY450 ) ) )
= $false )
| ( ( ~ ( ~ ( ( SV33 != nil_poly_real ) )
| ~ ~ ! [SY194: poly_real] :
~ ~ ! [SY195: list_poly_real] :
( SV33
!= ( cons_poly_real @ SY194 @ SY195 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[824]) ).
thf(900,plain,
! [SV73: list_poly_real,SV35: list_poly_real > $o] :
( ( ( ~ ! [SY199: poly_real,SY200: poly_real,SY201: list_poly_real] :
( ~ ( ( SY199 != SY200 )
| ( SV35 @ ( cons_poly_real @ SY199 @ SY201 ) ) )
| ~ ( ~ ( ( SY199 != SY200 ) )
| ( SV35 @ ( cons_poly_real @ SY200 @ SY201 ) ) )
| ( SV35 @ ( cons_poly_real @ SY199 @ ( cons_poly_real @ SY200 @ SY201 ) ) ) ) )
= $true )
| ( ( SV35 @ SV73 )
= $true )
| ( ( SV35 @ ( cons_poly_real @ ( sK13_SY198 @ SV73 @ SV35 ) @ nil_poly_real ) )
= $false )
| ( ( SV35 @ nil_poly_real )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[825]) ).
thf(901,plain,
! [SV37: list_poly_real] :
( ( ( SV37
= ( cons_poly_real @ ( sK4_SY203 @ SV37 ) @ ( sK14_SY443 @ SV37 ) ) )
= $true )
| ( ( SV37 = nil_poly_real )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[826]) ).
thf(902,plain,
! [SV93: list_poly_real,SV75: list_poly_real,SV38: list_poly_real > list_poly_real > $o] :
( ( ( ! [SY208: list_poly_real] : ( SV38 @ SY208 @ nil_poly_real ) )
= $false )
| ( ( ~ ! [SY209: poly_real,SY210: list_poly_real,SY211: poly_real,SY212: list_poly_real] :
( ~ ( SV38 @ SY210 @ ( cons_poly_real @ SY211 @ SY212 ) )
| ~ ( SV38 @ ( cons_poly_real @ SY209 @ SY210 ) @ SY212 )
| ( SV38 @ ( cons_poly_real @ SY209 @ SY210 ) @ ( cons_poly_real @ SY211 @ SY212 ) ) )
| ( SV38 @ SV75 @ SV93 ) )
= $true )
| ( ( SV38 @ nil_poly_real @ ( sK5_SY207 @ SV93 @ SV75 @ SV38 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[827]) ).
thf(903,plain,
! [SV76: list_poly_real,SV94: list_poly_real,SV39: list_poly_real > list_poly_real > $o] :
( ( ( ! [SY456: list_poly_real] : ( SV39 @ ( cons_poly_real @ ( sK22_SY215 @ SV94 @ SV76 @ SV39 ) @ SY456 ) @ nil_poly_real ) )
= $false )
| ( ( ~ ! [SY217: poly_real,SY218: list_poly_real] : ( SV39 @ nil_poly_real @ ( cons_poly_real @ SY217 @ SY218 ) )
| ~ ! [SY219: poly_real,SY220: list_poly_real,SY221: poly_real,SY222: list_poly_real] :
( ~ ( SV39 @ SY220 @ SY222 )
| ( SV39 @ ( cons_poly_real @ SY219 @ SY220 ) @ ( cons_poly_real @ SY221 @ SY222 ) ) )
| ( SV39 @ SV76 @ SV94 ) )
= $true )
| ( ( SV39 @ nil_poly_real @ nil_poly_real )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[828]) ).
thf(904,plain,
! [SV95: list_poly_real,SV77: poly_real > poly_real > $o,SV40: ( poly_real > poly_real > $o ) > list_poly_real > $o] :
( ( ( ! [SY226: poly_real > poly_real > $o,SY227: poly_real,SY228: list_poly_real] :
( ~ ( SV40 @ SY226 @ SY228 )
| ( SV40 @ SY226 @ ( cons_poly_real @ SY227 @ SY228 ) ) ) )
= $false )
| ( ( SV40 @ SV77 @ SV95 )
= $true )
| ( ( SV40 @ ( sK6_SY225 @ SV95 @ SV77 @ SV40 ) @ nil_poly_real )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[829]) ).
thf(905,plain,
! [SV96: list_poly_real,SV78: list_poly_real,SV41: list_poly_real > list_poly_real > $o] :
( ( ( ! [SY457: list_poly_real] :
( ~ ( SV41 @ ( sK15_SY444 @ SV78 @ SV96 @ SV41 ) @ SY457 )
| ( SV41 @ ( cons_poly_real @ ( sK7_SY231 @ SV96 @ SV78 @ SV41 ) @ ( sK15_SY444 @ SV78 @ SV96 @ SV41 ) ) @ ( cons_poly_real @ ( sK23_SY451 @ SV96 @ SV78 @ SV41 ) @ SY457 ) ) ) )
= $false )
| ( ( ~ ! [SY235: list_poly_real] : ( SV41 @ SY235 @ nil_poly_real )
| ~ ! [SY236: poly_real,SY237: list_poly_real] : ( SV41 @ nil_poly_real @ ( cons_poly_real @ SY236 @ SY237 ) )
| ( SV41 @ SV78 @ SV96 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[830]) ).
thf(906,plain,
! [SV42: list_poly_real,SV79: list_poly_real > $o] :
( ( ( SV79 @ ( cons_poly_real @ ( sK24_SY338 @ SV42 @ SV79 ) @ nil_poly_real ) )
= $false )
| ( ( ~ ! [SY339: poly_real,SY340: list_poly_real] :
( ~ ( ( SY340 != nil_poly_real ) )
| ~ ( SV79 @ SY340 )
| ( SV79 @ ( cons_poly_real @ SY339 @ SY340 ) ) )
| ( SV79 @ SV42 ) )
= $true )
| ( ( SV42 = nil_poly_real )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[831]) ).
thf(907,plain,
! [SV81: list_poly_real,SV44: list_poly_real] :
( ( ( nil_poly_real
!= ( append_poly_real @ SV44 @ SV81 ) )
= $false )
| ( ( nil_poly_real
= ( append_poly_real @ SV44 @ SV81 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[832]) ).
thf(908,plain,
! [SV81: list_poly_real,SV44: list_poly_real] :
( ( ( ~ ~ ( ( SV44 != nil_poly_real )
| ( SV81 != nil_poly_real ) ) )
= $false )
| ( ( nil_poly_real
= ( append_poly_real @ SV44 @ SV81 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[832]) ).
thf(909,plain,
! [SV81: list_poly_real,SV44: list_poly_real] :
( ( ( SV44 != nil_poly_real )
= $true )
| ( ( SV81 != nil_poly_real )
= $true )
| ( ( ~ ( ( nil_poly_real
!= ( append_poly_real @ SV44 @ SV81 ) )
| ~ ~ ( ( SV44 != nil_poly_real )
| ( SV81 != nil_poly_real ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[833]) ).
thf(910,plain,
! [SV82: list_poly_real,SV45: list_poly_real > $o] :
( ( ( ~ ! [SY247: poly_real,SY248: poly_real,SY249: list_poly_real] :
( ~ ( SV45 @ SY249 )
| ~ ( SV45 @ ( cons_poly_real @ SY248 @ SY249 ) )
| ( SV45 @ ( cons_poly_real @ SY247 @ ( cons_poly_real @ SY248 @ SY249 ) ) ) ) )
= $true )
| ( ( SV45 @ SV82 )
= $true )
| ( ( SV45 @ ( cons_poly_real @ ( sK16_SY246 @ SV82 @ SV45 ) @ nil_poly_real ) )
= $false )
| ( ( SV45 @ nil_poly_real )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[834]) ).
thf(911,plain,
! [SV83: list_poly_real,SV46: list_poly_real] :
( ( ( ( splice_poly_real @ SV46 @ SV83 )
!= nil_poly_real )
= $false )
| ( ( ( splice_poly_real @ SV46 @ SV83 )
= nil_poly_real )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[835]) ).
thf(912,plain,
! [SV83: list_poly_real,SV46: list_poly_real] :
( ( ( ~ ~ ( ( SV46 != nil_poly_real )
| ( SV83 != nil_poly_real ) ) )
= $false )
| ( ( ( splice_poly_real @ SV46 @ SV83 )
= nil_poly_real )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[835]) ).
thf(913,plain,
! [SV83: list_poly_real,SV46: list_poly_real] :
( ( ( SV46 != nil_poly_real )
= $true )
| ( ( SV83 != nil_poly_real )
= $true )
| ( ( ~ ( ( ( splice_poly_real @ SV46 @ SV83 )
!= nil_poly_real )
| ~ ~ ( ( SV46 != nil_poly_real )
| ( SV83 != nil_poly_real ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[836]) ).
thf(914,plain,
! [SV47: list_poly_real] :
( ( ( SV47
= ( cons_poly_real @ ( sK17_SY251 @ SV47 ) @ nil_poly_real ) )
= $true )
| ( ( ~ ! [SY252: poly_real,SY253: poly_real,SY254: list_poly_real] :
( SV47
!= ( cons_poly_real @ SY252 @ ( cons_poly_real @ SY253 @ SY254 ) ) ) )
= $true )
| ( ( SV47 = nil_poly_real )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[837]) ).
thf(915,plain,
! [SV48: list_poly_real] :
( ( ( SV48
= ( cons_poly_real @ ( sK8_SY255 @ SV48 ) @ ( sK18_SY447 @ SV48 ) ) )
= $true )
| ( ( SV48 = nil_poly_real )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[838]) ).
thf(916,plain,
! [SV84: list_poly_real,SV49: list_poly_real > $o] :
( ( ( ~ ( SV49 @ ( sK25_SY453 @ SV84 @ SV49 ) )
| ( SV49 @ ( cons_poly_real @ ( sK19_SY258 @ SV84 @ SV49 ) @ ( sK25_SY453 @ SV84 @ SV49 ) ) ) )
= $false )
| ( ( SV49 @ SV84 )
= $true )
| ( ( SV49 @ nil_poly_real )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[839]) ).
thf(917,plain,
! [SV85: list_poly_real,SV50: list_poly_real] :
( ( ( ( append_poly_real @ SV50 @ SV85 )
!= nil_poly_real )
= $false )
| ( ( ( append_poly_real @ SV50 @ SV85 )
= nil_poly_real )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[840]) ).
thf(918,plain,
! [SV85: list_poly_real,SV50: list_poly_real] :
( ( ( ~ ~ ( ( SV50 != nil_poly_real )
| ( SV85 != nil_poly_real ) ) )
= $false )
| ( ( ( append_poly_real @ SV50 @ SV85 )
= nil_poly_real )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[840]) ).
thf(919,plain,
! [SV85: list_poly_real,SV50: list_poly_real] :
( ( ( SV50 != nil_poly_real )
= $true )
| ( ( SV85 != nil_poly_real )
= $true )
| ( ( ~ ( ( ( append_poly_real @ SV50 @ SV85 )
!= nil_poly_real )
| ~ ~ ( ( SV50 != nil_poly_real )
| ( SV85 != nil_poly_real ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[841]) ).
thf(920,plain,
! [SV98: list_poly_real,SV86: list_poly_real,SV52: list_poly_real > list_poly_real > $o] :
( ( ( ! [SY266: poly_real,SY267: list_poly_real] : ( SV52 @ nil_poly_real @ ( cons_poly_real @ SY266 @ SY267 ) ) )
= $false )
| ( ( ~ ! [SY268: poly_real,SY269: list_poly_real,SY270: poly_real,SY271: list_poly_real] :
( ~ ( SV52 @ SY269 @ SY271 )
| ( SV52 @ ( cons_poly_real @ SY268 @ SY269 ) @ ( cons_poly_real @ SY270 @ SY271 ) ) )
| ( SV52 @ SV86 @ SV98 ) )
= $true )
| ( ( SV52 @ ( sK9_SY265 @ SV98 @ SV86 @ SV52 ) @ nil_poly_real )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[842]) ).
thf(921,plain,
! [SV53: list_poly_real > $o,SV87: list_poly_real] :
( ( ( ! [SY448: poly_real,SY449: list_poly_real] :
( ( ( sK10_SY440 @ SV87 @ SV53 )
!= ( cons_poly_real @ SY448 @ SY449 ) )
| ( SV53 @ ( sK10_SY440 @ SV87 @ SV53 ) ) ) )
= $true )
| ( ( ~ ( SV53 @ nil_poly_real )
| ( SV53 @ SV87 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[843]) ).
thf(922,plain,
! [SV87: list_poly_real,SV53: list_poly_real > $o] :
( ( ( ~ ( SV53 @ nil_poly_real ) )
= $true )
| ( ( SV53 @ SV87 )
= $true )
| ( ( SV53 @ ( cons_poly_real @ ( sK3_SY273 @ SV87 @ SV53 ) @ ( sK10_SY440 @ SV87 @ SV53 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[844]) ).
thf(923,plain,
! [SV99: list_poly_real,SV89: poly_real > poly_real > $o,SV55: ( poly_real > poly_real > $o ) > list_poly_real > $o] :
( ( ( ! [SY281: poly_real > poly_real > $o,SY282: poly_real] : ( SV55 @ SY281 @ ( cons_poly_real @ SY282 @ nil_poly_real ) ) )
= $false )
| ( ( ~ ! [SY283: poly_real > poly_real > $o,SY284: poly_real,SY285: poly_real,SY286: list_poly_real] :
( ~ ( SV55 @ SY283 @ ( cons_poly_real @ SY285 @ SY286 ) )
| ( SV55 @ SY283 @ ( cons_poly_real @ SY284 @ ( cons_poly_real @ SY285 @ SY286 ) ) ) )
| ( SV55 @ SV89 @ SV99 ) )
= $true )
| ( ( SV55 @ ( sK11_SY280 @ SV99 @ SV89 @ SV55 ) @ nil_poly_real )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[845]) ).
thf(924,plain,
! [SV100: list_poly_real,SV90: list_poly_real,SV57: list_poly_real > list_poly_real > $o] :
( ( ( ! [SY290: poly_real,SY291: list_poly_real,SY292: list_poly_real] :
( ~ ( SV57 @ SY292 @ SY291 )
| ( SV57 @ ( cons_poly_real @ SY290 @ SY291 ) @ SY292 ) ) )
= $false )
| ( ( SV57 @ SV90 @ SV100 )
= $true )
| ( ( SV57 @ nil_poly_real @ ( sK12_SY289 @ SV100 @ SV90 @ SV57 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[846]) ).
thf(925,plain,
! [SV91: list_poly_real,SV58: list_poly_real > $o] :
( ( ( ~ ( SV58 @ ( sK26_SY454 @ SV91 @ SV58 ) )
| ( SV58 @ ( cons_poly_real @ ( sK20_SY294 @ SV91 @ SV58 ) @ ( sK26_SY454 @ SV91 @ SV58 ) ) ) )
= $false )
| ( ( SV58 @ SV91 )
= $true )
| ( ( SV58 @ nil_poly_real )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[847]) ).
thf(926,plain,
! [SV92: poly_real > poly_real,SV101: list_poly_real,SV102: list_poly_real,SV59: ( poly_real > poly_real ) > list_poly_real > list_poly_real > $o] :
( ( ( SV59 @ ( sK21_SY299 @ SV102 @ SV101 @ SV92 @ SV59 ) @ nil_poly_real @ ( sK27_SY455 @ SV92 @ SV101 @ SV102 @ SV59 ) )
= $false )
| ( ( ~ ! [SY301: poly_real > poly_real,SY302: poly_real,SY303: list_poly_real,SY304: list_poly_real] :
( ~ ( SV59 @ SY301 @ SY303 @ ( cons_poly_real @ ( SY301 @ SY302 ) @ SY304 ) )
| ( SV59 @ SY301 @ ( cons_poly_real @ SY302 @ SY303 ) @ SY304 ) )
| ( SV59 @ SV92 @ SV101 @ SV102 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[848]) ).
thf(927,plain,
! [SV62: list_poly_real,SV13: poly_real > poly_real > $o] :
( ( ( lexordp_eq_poly_real @ SV13 @ SV62 @ nil_poly_real )
= $true )
| ( ( lexordp_eq_poly_real @ SV13 @ SV62 @ nil_poly_real )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[857]) ).
thf(928,plain,
! [SV13: poly_real > poly_real > $o,SV62: list_poly_real] :
( ( ( SV62 = nil_poly_real )
= $true )
| ( ( lexordp_eq_poly_real @ SV13 @ SV62 @ nil_poly_real )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[858]) ).
thf(929,plain,
! [SV62: list_poly_real,SV13: poly_real > poly_real > $o] :
( ( ( lexordp_eq_poly_real @ SV13 @ SV62 @ nil_poly_real )
= $true )
| ( ( SV62 = nil_poly_real )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[859]) ).
thf(930,plain,
! [SV62: list_poly_real] :
( ( ( SV62 = nil_poly_real )
= $true )
| ( ( SV62 = nil_poly_real )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[860]) ).
thf(931,plain,
! [SV64: list_poly_real,SV18: list_poly_real] :
( ( ( ( append_poly_real @ SV18 @ SV64 )
= SV18 )
= $true )
| ( ( ( append_poly_real @ SV18 @ SV64 )
= SV18 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[861]) ).
thf(932,plain,
! [SV18: list_poly_real,SV64: list_poly_real] :
( ( ( SV64 = nil_poly_real )
= $true )
| ( ( ( append_poly_real @ SV18 @ SV64 )
= SV18 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[862]) ).
thf(933,plain,
! [SV64: list_poly_real,SV18: list_poly_real] :
( ( ( ( append_poly_real @ SV18 @ SV64 )
= SV18 )
= $true )
| ( ( SV64 = nil_poly_real )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[863]) ).
thf(934,plain,
! [SV64: list_poly_real] :
( ( ( SV64 = nil_poly_real )
= $true )
| ( ( SV64 = nil_poly_real )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[864]) ).
thf(935,plain,
! [SV65: list_poly_real,SV19: list_poly_real] :
( ( ( SV19
= ( append_poly_real @ SV19 @ SV65 ) )
= $true )
| ( ( SV19
= ( append_poly_real @ SV19 @ SV65 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[865]) ).
thf(936,plain,
! [SV19: list_poly_real,SV65: list_poly_real] :
( ( ( SV65 = nil_poly_real )
= $true )
| ( ( SV19
= ( append_poly_real @ SV19 @ SV65 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[866]) ).
thf(937,plain,
! [SV65: list_poly_real,SV19: list_poly_real] :
( ( ( SV19
= ( append_poly_real @ SV19 @ SV65 ) )
= $true )
| ( ( SV65 = nil_poly_real )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[867]) ).
thf(938,plain,
! [SV65: list_poly_real] :
( ( ( SV65 = nil_poly_real )
= $true )
| ( ( SV65 = nil_poly_real )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[868]) ).
thf(939,plain,
! [SV66: list_poly_real,SV20: list_poly_real] :
( ( ( ( append_poly_real @ SV20 @ SV66 )
= SV66 )
= $true )
| ( ( ( append_poly_real @ SV20 @ SV66 )
= SV66 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[869]) ).
thf(940,plain,
! [SV66: list_poly_real,SV20: list_poly_real] :
( ( ( SV20 = nil_poly_real )
= $true )
| ( ( ( append_poly_real @ SV20 @ SV66 )
= SV66 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[870]) ).
thf(941,plain,
! [SV66: list_poly_real,SV20: list_poly_real] :
( ( ( ( append_poly_real @ SV20 @ SV66 )
= SV66 )
= $true )
| ( ( SV20 = nil_poly_real )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[871]) ).
thf(942,plain,
! [SV20: list_poly_real] :
( ( ( SV20 = nil_poly_real )
= $true )
| ( ( SV20 = nil_poly_real )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[872]) ).
thf(943,plain,
! [SV67: list_poly_real,SV21: list_poly_real] :
( ( ( SV21
= ( append_poly_real @ SV67 @ SV21 ) )
= $true )
| ( ( SV21
= ( append_poly_real @ SV67 @ SV21 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[873]) ).
thf(944,plain,
! [SV21: list_poly_real,SV67: list_poly_real] :
( ( ( SV67 = nil_poly_real )
= $true )
| ( ( SV21
= ( append_poly_real @ SV67 @ SV21 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[874]) ).
thf(945,plain,
! [SV67: list_poly_real,SV21: list_poly_real] :
( ( ( SV21
= ( append_poly_real @ SV67 @ SV21 ) )
= $true )
| ( ( SV67 = nil_poly_real )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[875]) ).
thf(946,plain,
! [SV67: list_poly_real] :
( ( ( SV67 = nil_poly_real )
= $true )
| ( ( SV67 = nil_poly_real )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[876]) ).
thf(947,plain,
! [SV68: list_poly_real,SV29: nat] :
( ( ( ( rotate_poly_real @ SV29 @ SV68 )
= nil_poly_real )
= $true )
| ( ( ( rotate_poly_real @ SV29 @ SV68 )
= nil_poly_real )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[881]) ).
thf(948,plain,
! [SV29: nat,SV68: list_poly_real] :
( ( ( SV68 = nil_poly_real )
= $true )
| ( ( ( rotate_poly_real @ SV29 @ SV68 )
= nil_poly_real )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[882]) ).
thf(949,plain,
! [SV68: list_poly_real,SV29: nat] :
( ( ( ( rotate_poly_real @ SV29 @ SV68 )
= nil_poly_real )
= $true )
| ( ( SV68 = nil_poly_real )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[883]) ).
thf(950,plain,
! [SV68: list_poly_real] :
( ( ( SV68 = nil_poly_real )
= $true )
| ( ( SV68 = nil_poly_real )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[884]) ).
thf(951,plain,
! [SV69: list_poly_real,SV30: poly_real > poly_real] :
( ( ( ( map_po2132607150y_real @ SV30 @ SV69 )
= nil_poly_real )
= $true )
| ( ( ( map_po2132607150y_real @ SV30 @ SV69 )
= nil_poly_real )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[885]) ).
thf(952,plain,
! [SV30: poly_real > poly_real,SV69: list_poly_real] :
( ( ( SV69 = nil_poly_real )
= $true )
| ( ( ( map_po2132607150y_real @ SV30 @ SV69 )
= nil_poly_real )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[886]) ).
thf(953,plain,
! [SV69: list_poly_real,SV30: poly_real > poly_real] :
( ( ( ( map_po2132607150y_real @ SV30 @ SV69 )
= nil_poly_real )
= $true )
| ( ( SV69 = nil_poly_real )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[887]) ).
thf(954,plain,
! [SV69: list_poly_real] :
( ( ( SV69 = nil_poly_real )
= $true )
| ( ( SV69 = nil_poly_real )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[888]) ).
thf(955,plain,
! [SV70: list_poly_real,SV31: poly_real > poly_real] :
( ( ( ( map_po2132607150y_real @ SV31 @ SV70 )
= nil_poly_real )
= $true )
| ( ( ( map_po2132607150y_real @ SV31 @ SV70 )
= nil_poly_real )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[889]) ).
thf(956,plain,
! [SV31: poly_real > poly_real,SV70: list_poly_real] :
( ( ( SV70 = nil_poly_real )
= $true )
| ( ( ( map_po2132607150y_real @ SV31 @ SV70 )
= nil_poly_real )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[890]) ).
thf(957,plain,
! [SV70: list_poly_real,SV31: poly_real > poly_real] :
( ( ( ( map_po2132607150y_real @ SV31 @ SV70 )
= nil_poly_real )
= $true )
| ( ( SV70 = nil_poly_real )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[891]) ).
thf(958,plain,
! [SV70: list_poly_real] :
( ( ( SV70 = nil_poly_real )
= $true )
| ( ( SV70 = nil_poly_real )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[892]) ).
thf(959,plain,
! [SV71: list_poly_real,SV32: poly_real > poly_real] :
( ( ( nil_poly_real
= ( map_po2132607150y_real @ SV32 @ SV71 ) )
= $true )
| ( ( nil_poly_real
= ( map_po2132607150y_real @ SV32 @ SV71 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[893]) ).
thf(960,plain,
! [SV32: poly_real > poly_real,SV71: list_poly_real] :
( ( ( SV71 = nil_poly_real )
= $true )
| ( ( nil_poly_real
= ( map_po2132607150y_real @ SV32 @ SV71 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[894]) ).
thf(961,plain,
! [SV71: list_poly_real,SV32: poly_real > poly_real] :
( ( ( nil_poly_real
= ( map_po2132607150y_real @ SV32 @ SV71 ) )
= $true )
| ( ( SV71 = nil_poly_real )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[895]) ).
thf(962,plain,
! [SV71: list_poly_real] :
( ( ( SV71 = nil_poly_real )
= $true )
| ( ( SV71 = nil_poly_real )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[896]) ).
thf(963,plain,
! [SV33: list_poly_real] :
( ( ( SV33 != nil_poly_real )
= $true )
| ( ( SV33 = nil_poly_real )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[897]) ).
thf(964,plain,
! [SV33: list_poly_real] :
( ( ( ~ ! [SY194: poly_real] :
~ ~ ! [SY195: list_poly_real] :
( SV33
!= ( cons_poly_real @ SY194 @ SY195 ) ) )
= $true )
| ( ( SV33 = nil_poly_real )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[898]) ).
thf(965,plain,
! [SV103: poly_real,SV33: list_poly_real] :
( ( ( ! [SY450: list_poly_real] :
( SV33
!= ( cons_poly_real @ SV103 @ SY450 ) ) )
= $true )
| ( ( ~ ( ~ ( ( SV33 != nil_poly_real ) )
| ~ ~ ! [SY194: poly_real] :
~ ~ ! [SY195: list_poly_real] :
( SV33
!= ( cons_poly_real @ SY194 @ SY195 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[899]) ).
thf(966,plain,
! [SV73: list_poly_real,SV35: list_poly_real > $o] :
( ( ( ! [SY199: poly_real,SY200: poly_real,SY201: list_poly_real] :
( ~ ( ( SY199 != SY200 )
| ( SV35 @ ( cons_poly_real @ SY199 @ SY201 ) ) )
| ~ ( ~ ( ( SY199 != SY200 ) )
| ( SV35 @ ( cons_poly_real @ SY200 @ SY201 ) ) )
| ( SV35 @ ( cons_poly_real @ SY199 @ ( cons_poly_real @ SY200 @ SY201 ) ) ) ) )
= $false )
| ( ( SV35 @ SV73 )
= $true )
| ( ( SV35 @ ( cons_poly_real @ ( sK13_SY198 @ SV73 @ SV35 ) @ nil_poly_real ) )
= $false )
| ( ( SV35 @ nil_poly_real )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[900]) ).
thf(967,plain,
! [SV75: list_poly_real,SV93: list_poly_real,SV38: list_poly_real > list_poly_real > $o] :
( ( ( SV38 @ ( sK28_SY208 @ SV93 @ SV75 @ SV38 ) @ nil_poly_real )
= $false )
| ( ( ~ ! [SY209: poly_real,SY210: list_poly_real,SY211: poly_real,SY212: list_poly_real] :
( ~ ( SV38 @ SY210 @ ( cons_poly_real @ SY211 @ SY212 ) )
| ~ ( SV38 @ ( cons_poly_real @ SY209 @ SY210 ) @ SY212 )
| ( SV38 @ ( cons_poly_real @ SY209 @ SY210 ) @ ( cons_poly_real @ SY211 @ SY212 ) ) )
| ( SV38 @ SV75 @ SV93 ) )
= $true )
| ( ( SV38 @ nil_poly_real @ ( sK5_SY207 @ SV93 @ SV75 @ SV38 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[902]) ).
thf(968,plain,
! [SV76: list_poly_real,SV94: list_poly_real,SV39: list_poly_real > list_poly_real > $o] :
( ( ( SV39 @ ( cons_poly_real @ ( sK22_SY215 @ SV94 @ SV76 @ SV39 ) @ ( sK29_SY456 @ SV76 @ SV94 @ SV39 ) ) @ nil_poly_real )
= $false )
| ( ( ~ ! [SY217: poly_real,SY218: list_poly_real] : ( SV39 @ nil_poly_real @ ( cons_poly_real @ SY217 @ SY218 ) )
| ~ ! [SY219: poly_real,SY220: list_poly_real,SY221: poly_real,SY222: list_poly_real] :
( ~ ( SV39 @ SY220 @ SY222 )
| ( SV39 @ ( cons_poly_real @ SY219 @ SY220 ) @ ( cons_poly_real @ SY221 @ SY222 ) ) )
| ( SV39 @ SV76 @ SV94 ) )
= $true )
| ( ( SV39 @ nil_poly_real @ nil_poly_real )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[903]) ).
thf(969,plain,
! [SV77: poly_real > poly_real > $o,SV95: list_poly_real,SV40: ( poly_real > poly_real > $o ) > list_poly_real > $o] :
( ( ( ! [SY458: poly_real,SY459: list_poly_real] :
( ~ ( SV40 @ ( sK30_SY226 @ SV95 @ SV77 @ SV40 ) @ SY459 )
| ( SV40 @ ( sK30_SY226 @ SV95 @ SV77 @ SV40 ) @ ( cons_poly_real @ SY458 @ SY459 ) ) ) )
= $false )
| ( ( SV40 @ SV77 @ SV95 )
= $true )
| ( ( SV40 @ ( sK6_SY225 @ SV95 @ SV77 @ SV40 ) @ nil_poly_real )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[904]) ).
thf(970,plain,
! [SV96: list_poly_real,SV78: list_poly_real,SV41: list_poly_real > list_poly_real > $o] :
( ( ( ~ ( SV41 @ ( sK15_SY444 @ SV78 @ SV96 @ SV41 ) @ ( sK31_SY457 @ SV96 @ SV78 @ SV41 ) )
| ( SV41 @ ( cons_poly_real @ ( sK7_SY231 @ SV96 @ SV78 @ SV41 ) @ ( sK15_SY444 @ SV78 @ SV96 @ SV41 ) ) @ ( cons_poly_real @ ( sK23_SY451 @ SV96 @ SV78 @ SV41 ) @ ( sK31_SY457 @ SV96 @ SV78 @ SV41 ) ) ) )
= $false )
| ( ( ~ ! [SY235: list_poly_real] : ( SV41 @ SY235 @ nil_poly_real )
| ~ ! [SY236: poly_real,SY237: list_poly_real] : ( SV41 @ nil_poly_real @ ( cons_poly_real @ SY236 @ SY237 ) )
| ( SV41 @ SV78 @ SV96 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[905]) ).
thf(971,plain,
! [SV42: list_poly_real,SV79: list_poly_real > $o] :
( ( ( ~ ! [SY339: poly_real,SY340: list_poly_real] :
( ~ ( ( SY340 != nil_poly_real ) )
| ~ ( SV79 @ SY340 )
| ( SV79 @ ( cons_poly_real @ SY339 @ SY340 ) ) ) )
= $true )
| ( ( SV79 @ SV42 )
= $true )
| ( ( SV79 @ ( cons_poly_real @ ( sK24_SY338 @ SV42 @ SV79 ) @ nil_poly_real ) )
= $false )
| ( ( SV42 = nil_poly_real )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[906]) ).
thf(972,plain,
! [SV81: list_poly_real,SV44: list_poly_real] :
( ( ( nil_poly_real
= ( append_poly_real @ SV44 @ SV81 ) )
= $true )
| ( ( nil_poly_real
= ( append_poly_real @ SV44 @ SV81 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[907]) ).
thf(973,plain,
! [SV81: list_poly_real,SV44: list_poly_real] :
( ( ( ~ ( ( SV44 != nil_poly_real )
| ( SV81 != nil_poly_real ) ) )
= $true )
| ( ( nil_poly_real
= ( append_poly_real @ SV44 @ SV81 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[908]) ).
thf(974,plain,
! [SV81: list_poly_real,SV44: list_poly_real] :
( ( ( SV44 = nil_poly_real )
= $false )
| ( ( SV81 != nil_poly_real )
= $true )
| ( ( ~ ( ( nil_poly_real
!= ( append_poly_real @ SV44 @ SV81 ) )
| ~ ~ ( ( SV44 != nil_poly_real )
| ( SV81 != nil_poly_real ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[909]) ).
thf(975,plain,
! [SV82: list_poly_real,SV45: list_poly_real > $o] :
( ( ( ! [SY247: poly_real,SY248: poly_real,SY249: list_poly_real] :
( ~ ( SV45 @ SY249 )
| ~ ( SV45 @ ( cons_poly_real @ SY248 @ SY249 ) )
| ( SV45 @ ( cons_poly_real @ SY247 @ ( cons_poly_real @ SY248 @ SY249 ) ) ) ) )
= $false )
| ( ( SV45 @ SV82 )
= $true )
| ( ( SV45 @ ( cons_poly_real @ ( sK16_SY246 @ SV82 @ SV45 ) @ nil_poly_real ) )
= $false )
| ( ( SV45 @ nil_poly_real )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[910]) ).
thf(976,plain,
! [SV83: list_poly_real,SV46: list_poly_real] :
( ( ( ( splice_poly_real @ SV46 @ SV83 )
= nil_poly_real )
= $true )
| ( ( ( splice_poly_real @ SV46 @ SV83 )
= nil_poly_real )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[911]) ).
thf(977,plain,
! [SV83: list_poly_real,SV46: list_poly_real] :
( ( ( ~ ( ( SV46 != nil_poly_real )
| ( SV83 != nil_poly_real ) ) )
= $true )
| ( ( ( splice_poly_real @ SV46 @ SV83 )
= nil_poly_real )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[912]) ).
thf(978,plain,
! [SV83: list_poly_real,SV46: list_poly_real] :
( ( ( SV46 = nil_poly_real )
= $false )
| ( ( SV83 != nil_poly_real )
= $true )
| ( ( ~ ( ( ( splice_poly_real @ SV46 @ SV83 )
!= nil_poly_real )
| ~ ~ ( ( SV46 != nil_poly_real )
| ( SV83 != nil_poly_real ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[913]) ).
thf(979,plain,
! [SV47: list_poly_real] :
( ( ( ! [SY252: poly_real,SY253: poly_real,SY254: list_poly_real] :
( SV47
!= ( cons_poly_real @ SY252 @ ( cons_poly_real @ SY253 @ SY254 ) ) ) )
= $false )
| ( ( SV47
= ( cons_poly_real @ ( sK17_SY251 @ SV47 ) @ nil_poly_real ) )
= $true )
| ( ( SV47 = nil_poly_real )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[914]) ).
thf(980,plain,
! [SV84: list_poly_real,SV49: list_poly_real > $o] :
( ( ( ~ ( SV49 @ ( sK25_SY453 @ SV84 @ SV49 ) ) )
= $false )
| ( ( SV49 @ SV84 )
= $true )
| ( ( SV49 @ nil_poly_real )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[916]) ).
thf(981,plain,
! [SV84: list_poly_real,SV49: list_poly_real > $o] :
( ( ( SV49 @ ( cons_poly_real @ ( sK19_SY258 @ SV84 @ SV49 ) @ ( sK25_SY453 @ SV84 @ SV49 ) ) )
= $false )
| ( ( SV49 @ SV84 )
= $true )
| ( ( SV49 @ nil_poly_real )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[916]) ).
thf(982,plain,
! [SV85: list_poly_real,SV50: list_poly_real] :
( ( ( ( append_poly_real @ SV50 @ SV85 )
= nil_poly_real )
= $true )
| ( ( ( append_poly_real @ SV50 @ SV85 )
= nil_poly_real )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[917]) ).
thf(983,plain,
! [SV85: list_poly_real,SV50: list_poly_real] :
( ( ( ~ ( ( SV50 != nil_poly_real )
| ( SV85 != nil_poly_real ) ) )
= $true )
| ( ( ( append_poly_real @ SV50 @ SV85 )
= nil_poly_real )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[918]) ).
thf(984,plain,
! [SV85: list_poly_real,SV50: list_poly_real] :
( ( ( SV50 = nil_poly_real )
= $false )
| ( ( SV85 != nil_poly_real )
= $true )
| ( ( ~ ( ( ( append_poly_real @ SV50 @ SV85 )
!= nil_poly_real )
| ~ ~ ( ( SV50 != nil_poly_real )
| ( SV85 != nil_poly_real ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[919]) ).
thf(985,plain,
! [SV86: list_poly_real,SV98: list_poly_real,SV52: list_poly_real > list_poly_real > $o] :
( ( ( ! [SY460: list_poly_real] : ( SV52 @ nil_poly_real @ ( cons_poly_real @ ( sK32_SY266 @ SV98 @ SV86 @ SV52 ) @ SY460 ) ) )
= $false )
| ( ( ~ ! [SY268: poly_real,SY269: list_poly_real,SY270: poly_real,SY271: list_poly_real] :
( ~ ( SV52 @ SY269 @ SY271 )
| ( SV52 @ ( cons_poly_real @ SY268 @ SY269 ) @ ( cons_poly_real @ SY270 @ SY271 ) ) )
| ( SV52 @ SV86 @ SV98 ) )
= $true )
| ( ( SV52 @ ( sK9_SY265 @ SV98 @ SV86 @ SV52 ) @ nil_poly_real )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[920]) ).
thf(986,plain,
! [SV104: poly_real,SV53: list_poly_real > $o,SV87: list_poly_real] :
( ( ( ! [SY461: list_poly_real] :
( ( ( sK10_SY440 @ SV87 @ SV53 )
!= ( cons_poly_real @ SV104 @ SY461 ) )
| ( SV53 @ ( sK10_SY440 @ SV87 @ SV53 ) ) ) )
= $true )
| ( ( ~ ( SV53 @ nil_poly_real )
| ( SV53 @ SV87 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[921]) ).
thf(987,plain,
! [SV87: list_poly_real,SV53: list_poly_real > $o] :
( ( ( SV53 @ nil_poly_real )
= $false )
| ( ( SV53 @ SV87 )
= $true )
| ( ( SV53 @ ( cons_poly_real @ ( sK3_SY273 @ SV87 @ SV53 ) @ ( sK10_SY440 @ SV87 @ SV53 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[922]) ).
thf(988,plain,
! [SV89: poly_real > poly_real > $o,SV99: list_poly_real,SV55: ( poly_real > poly_real > $o ) > list_poly_real > $o] :
( ( ( ! [SY462: poly_real] : ( SV55 @ ( sK33_SY281 @ SV99 @ SV89 @ SV55 ) @ ( cons_poly_real @ SY462 @ nil_poly_real ) ) )
= $false )
| ( ( ~ ! [SY283: poly_real > poly_real > $o,SY284: poly_real,SY285: poly_real,SY286: list_poly_real] :
( ~ ( SV55 @ SY283 @ ( cons_poly_real @ SY285 @ SY286 ) )
| ( SV55 @ SY283 @ ( cons_poly_real @ SY284 @ ( cons_poly_real @ SY285 @ SY286 ) ) ) )
| ( SV55 @ SV89 @ SV99 ) )
= $true )
| ( ( SV55 @ ( sK11_SY280 @ SV99 @ SV89 @ SV55 ) @ nil_poly_real )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[923]) ).
thf(989,plain,
! [SV90: list_poly_real,SV100: list_poly_real,SV57: list_poly_real > list_poly_real > $o] :
( ( ( ! [SY463: list_poly_real,SY464: list_poly_real] :
( ~ ( SV57 @ SY464 @ SY463 )
| ( SV57 @ ( cons_poly_real @ ( sK34_SY290 @ SV100 @ SV90 @ SV57 ) @ SY463 ) @ SY464 ) ) )
= $false )
| ( ( SV57 @ SV90 @ SV100 )
= $true )
| ( ( SV57 @ nil_poly_real @ ( sK12_SY289 @ SV100 @ SV90 @ SV57 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[924]) ).
thf(990,plain,
! [SV91: list_poly_real,SV58: list_poly_real > $o] :
( ( ( ~ ( SV58 @ ( sK26_SY454 @ SV91 @ SV58 ) ) )
= $false )
| ( ( SV58 @ SV91 )
= $true )
| ( ( SV58 @ nil_poly_real )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[925]) ).
thf(991,plain,
! [SV91: list_poly_real,SV58: list_poly_real > $o] :
( ( ( SV58 @ ( cons_poly_real @ ( sK20_SY294 @ SV91 @ SV58 ) @ ( sK26_SY454 @ SV91 @ SV58 ) ) )
= $false )
| ( ( SV58 @ SV91 )
= $true )
| ( ( SV58 @ nil_poly_real )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[925]) ).
thf(992,plain,
! [SV102: list_poly_real,SV101: list_poly_real,SV92: poly_real > poly_real,SV59: ( poly_real > poly_real ) > list_poly_real > list_poly_real > $o] :
( ( ( ~ ! [SY301: poly_real > poly_real,SY302: poly_real,SY303: list_poly_real,SY304: list_poly_real] :
( ~ ( SV59 @ SY301 @ SY303 @ ( cons_poly_real @ ( SY301 @ SY302 ) @ SY304 ) )
| ( SV59 @ SY301 @ ( cons_poly_real @ SY302 @ SY303 ) @ SY304 ) ) )
= $true )
| ( ( SV59 @ SV92 @ SV101 @ SV102 )
= $true )
| ( ( SV59 @ ( sK21_SY299 @ SV102 @ SV101 @ SV92 @ SV59 ) @ nil_poly_real @ ( sK27_SY455 @ SV92 @ SV101 @ SV102 @ SV59 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[926]) ).
thf(993,plain,
! [SV33: list_poly_real] :
( ( ( SV33 = nil_poly_real )
= $false )
| ( ( SV33 = nil_poly_real )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[963]) ).
thf(994,plain,
! [SV33: list_poly_real] :
( ( ( ! [SY194: poly_real] :
~ ~ ! [SY195: list_poly_real] :
( SV33
!= ( cons_poly_real @ SY194 @ SY195 ) ) )
= $false )
| ( ( SV33 = nil_poly_real )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[964]) ).
thf(995,plain,
! [SV105: list_poly_real,SV103: poly_real,SV33: list_poly_real] :
( ( ( SV33
!= ( cons_poly_real @ SV103 @ SV105 ) )
= $true )
| ( ( ~ ( ~ ( ( SV33 != nil_poly_real ) )
| ~ ~ ! [SY194: poly_real] :
~ ~ ! [SY195: list_poly_real] :
( SV33
!= ( cons_poly_real @ SY194 @ SY195 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[965]) ).
thf(996,plain,
! [SV35: list_poly_real > $o,SV73: list_poly_real] :
( ( ( ! [SY465: poly_real,SY466: list_poly_real] :
( ~ ( ( ( sK35_SY199 @ SV73 @ SV35 )
!= SY465 )
| ( SV35 @ ( cons_poly_real @ ( sK35_SY199 @ SV73 @ SV35 ) @ SY466 ) ) )
| ~ ( ~ ( ( ( sK35_SY199 @ SV73 @ SV35 )
!= SY465 ) )
| ( SV35 @ ( cons_poly_real @ SY465 @ SY466 ) ) )
| ( SV35 @ ( cons_poly_real @ ( sK35_SY199 @ SV73 @ SV35 ) @ ( cons_poly_real @ SY465 @ SY466 ) ) ) ) )
= $false )
| ( ( SV35 @ SV73 )
= $true )
| ( ( SV35 @ ( cons_poly_real @ ( sK13_SY198 @ SV73 @ SV35 ) @ nil_poly_real ) )
= $false )
| ( ( SV35 @ nil_poly_real )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[966]) ).
thf(997,plain,
! [SV93: list_poly_real,SV75: list_poly_real,SV38: list_poly_real > list_poly_real > $o] :
( ( ( ~ ! [SY209: poly_real,SY210: list_poly_real,SY211: poly_real,SY212: list_poly_real] :
( ~ ( SV38 @ SY210 @ ( cons_poly_real @ SY211 @ SY212 ) )
| ~ ( SV38 @ ( cons_poly_real @ SY209 @ SY210 ) @ SY212 )
| ( SV38 @ ( cons_poly_real @ SY209 @ SY210 ) @ ( cons_poly_real @ SY211 @ SY212 ) ) ) )
= $true )
| ( ( SV38 @ SV75 @ SV93 )
= $true )
| ( ( SV38 @ ( sK28_SY208 @ SV93 @ SV75 @ SV38 ) @ nil_poly_real )
= $false )
| ( ( SV38 @ nil_poly_real @ ( sK5_SY207 @ SV93 @ SV75 @ SV38 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[967]) ).
thf(998,plain,
! [SV94: list_poly_real,SV76: list_poly_real,SV39: list_poly_real > list_poly_real > $o] :
( ( ( ~ ! [SY217: poly_real,SY218: list_poly_real] : ( SV39 @ nil_poly_real @ ( cons_poly_real @ SY217 @ SY218 ) ) )
= $true )
| ( ( ~ ! [SY219: poly_real,SY220: list_poly_real,SY221: poly_real,SY222: list_poly_real] :
( ~ ( SV39 @ SY220 @ SY222 )
| ( SV39 @ ( cons_poly_real @ SY219 @ SY220 ) @ ( cons_poly_real @ SY221 @ SY222 ) ) )
| ( SV39 @ SV76 @ SV94 ) )
= $true )
| ( ( SV39 @ ( cons_poly_real @ ( sK22_SY215 @ SV94 @ SV76 @ SV39 ) @ ( sK29_SY456 @ SV76 @ SV94 @ SV39 ) ) @ nil_poly_real )
= $false )
| ( ( SV39 @ nil_poly_real @ nil_poly_real )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[968]) ).
thf(999,plain,
! [SV77: poly_real > poly_real > $o,SV95: list_poly_real,SV40: ( poly_real > poly_real > $o ) > list_poly_real > $o] :
( ( ( ! [SY467: list_poly_real] :
( ~ ( SV40 @ ( sK30_SY226 @ SV95 @ SV77 @ SV40 ) @ SY467 )
| ( SV40 @ ( sK30_SY226 @ SV95 @ SV77 @ SV40 ) @ ( cons_poly_real @ ( sK36_SY458 @ SV77 @ SV95 @ SV40 ) @ SY467 ) ) ) )
= $false )
| ( ( SV40 @ SV77 @ SV95 )
= $true )
| ( ( SV40 @ ( sK6_SY225 @ SV95 @ SV77 @ SV40 ) @ nil_poly_real )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[969]) ).
thf(1000,plain,
! [SV96: list_poly_real,SV78: list_poly_real,SV41: list_poly_real > list_poly_real > $o] :
( ( ( ~ ( SV41 @ ( sK15_SY444 @ SV78 @ SV96 @ SV41 ) @ ( sK31_SY457 @ SV96 @ SV78 @ SV41 ) ) )
= $false )
| ( ( ~ ! [SY235: list_poly_real] : ( SV41 @ SY235 @ nil_poly_real )
| ~ ! [SY236: poly_real,SY237: list_poly_real] : ( SV41 @ nil_poly_real @ ( cons_poly_real @ SY236 @ SY237 ) )
| ( SV41 @ SV78 @ SV96 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[970]) ).
thf(1001,plain,
! [SV78: list_poly_real,SV96: list_poly_real,SV41: list_poly_real > list_poly_real > $o] :
( ( ( SV41 @ ( cons_poly_real @ ( sK7_SY231 @ SV96 @ SV78 @ SV41 ) @ ( sK15_SY444 @ SV78 @ SV96 @ SV41 ) ) @ ( cons_poly_real @ ( sK23_SY451 @ SV96 @ SV78 @ SV41 ) @ ( sK31_SY457 @ SV96 @ SV78 @ SV41 ) ) )
= $false )
| ( ( ~ ! [SY235: list_poly_real] : ( SV41 @ SY235 @ nil_poly_real )
| ~ ! [SY236: poly_real,SY237: list_poly_real] : ( SV41 @ nil_poly_real @ ( cons_poly_real @ SY236 @ SY237 ) )
| ( SV41 @ SV78 @ SV96 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[970]) ).
thf(1002,plain,
! [SV42: list_poly_real,SV79: list_poly_real > $o] :
( ( ( ! [SY339: poly_real,SY340: list_poly_real] :
( ~ ( ( SY340 != nil_poly_real ) )
| ~ ( SV79 @ SY340 )
| ( SV79 @ ( cons_poly_real @ SY339 @ SY340 ) ) ) )
= $false )
| ( ( SV79 @ SV42 )
= $true )
| ( ( SV79 @ ( cons_poly_real @ ( sK24_SY338 @ SV42 @ SV79 ) @ nil_poly_real ) )
= $false )
| ( ( SV42 = nil_poly_real )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[971]) ).
thf(1003,plain,
! [SV81: list_poly_real,SV44: list_poly_real] :
( ( ( ( SV44 != nil_poly_real )
| ( SV81 != nil_poly_real ) )
= $false )
| ( ( nil_poly_real
= ( append_poly_real @ SV44 @ SV81 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[973]) ).
thf(1004,plain,
! [SV44: list_poly_real,SV81: list_poly_real] :
( ( ( SV81 = nil_poly_real )
= $false )
| ( ( SV44 = nil_poly_real )
= $false )
| ( ( ~ ( ( nil_poly_real
!= ( append_poly_real @ SV44 @ SV81 ) )
| ~ ~ ( ( SV44 != nil_poly_real )
| ( SV81 != nil_poly_real ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[974]) ).
thf(1005,plain,
! [SV82: list_poly_real,SV45: list_poly_real > $o] :
( ( ( ! [SY468: poly_real,SY469: list_poly_real] :
( ~ ( SV45 @ SY469 )
| ~ ( SV45 @ ( cons_poly_real @ SY468 @ SY469 ) )
| ( SV45 @ ( cons_poly_real @ ( sK37_SY247 @ SV82 @ SV45 ) @ ( cons_poly_real @ SY468 @ SY469 ) ) ) ) )
= $false )
| ( ( SV45 @ SV82 )
= $true )
| ( ( SV45 @ ( cons_poly_real @ ( sK16_SY246 @ SV82 @ SV45 ) @ nil_poly_real ) )
= $false )
| ( ( SV45 @ nil_poly_real )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[975]) ).
thf(1006,plain,
! [SV83: list_poly_real,SV46: list_poly_real] :
( ( ( ( SV46 != nil_poly_real )
| ( SV83 != nil_poly_real ) )
= $false )
| ( ( ( splice_poly_real @ SV46 @ SV83 )
= nil_poly_real )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[977]) ).
thf(1007,plain,
! [SV46: list_poly_real,SV83: list_poly_real] :
( ( ( SV83 = nil_poly_real )
= $false )
| ( ( SV46 = nil_poly_real )
= $false )
| ( ( ~ ( ( ( splice_poly_real @ SV46 @ SV83 )
!= nil_poly_real )
| ~ ~ ( ( SV46 != nil_poly_real )
| ( SV83 != nil_poly_real ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[978]) ).
thf(1008,plain,
! [SV47: list_poly_real] :
( ( ( ! [SY470: poly_real,SY471: list_poly_real] :
( SV47
!= ( cons_poly_real @ ( sK38_SY252 @ SV47 ) @ ( cons_poly_real @ SY470 @ SY471 ) ) ) )
= $false )
| ( ( SV47
= ( cons_poly_real @ ( sK17_SY251 @ SV47 ) @ nil_poly_real ) )
= $true )
| ( ( SV47 = nil_poly_real )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[979]) ).
thf(1009,plain,
! [SV84: list_poly_real,SV49: list_poly_real > $o] :
( ( ( SV49 @ ( sK25_SY453 @ SV84 @ SV49 ) )
= $true )
| ( ( SV49 @ SV84 )
= $true )
| ( ( SV49 @ nil_poly_real )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[980]) ).
thf(1010,plain,
! [SV85: list_poly_real,SV50: list_poly_real] :
( ( ( ( SV50 != nil_poly_real )
| ( SV85 != nil_poly_real ) )
= $false )
| ( ( ( append_poly_real @ SV50 @ SV85 )
= nil_poly_real )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[983]) ).
thf(1011,plain,
! [SV50: list_poly_real,SV85: list_poly_real] :
( ( ( SV85 = nil_poly_real )
= $false )
| ( ( SV50 = nil_poly_real )
= $false )
| ( ( ~ ( ( ( append_poly_real @ SV50 @ SV85 )
!= nil_poly_real )
| ~ ~ ( ( SV50 != nil_poly_real )
| ( SV85 != nil_poly_real ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[984]) ).
thf(1012,plain,
! [SV86: list_poly_real,SV98: list_poly_real,SV52: list_poly_real > list_poly_real > $o] :
( ( ( SV52 @ nil_poly_real @ ( cons_poly_real @ ( sK32_SY266 @ SV98 @ SV86 @ SV52 ) @ ( sK39_SY460 @ SV86 @ SV98 @ SV52 ) ) )
= $false )
| ( ( ~ ! [SY268: poly_real,SY269: list_poly_real,SY270: poly_real,SY271: list_poly_real] :
( ~ ( SV52 @ SY269 @ SY271 )
| ( SV52 @ ( cons_poly_real @ SY268 @ SY269 ) @ ( cons_poly_real @ SY270 @ SY271 ) ) )
| ( SV52 @ SV86 @ SV98 ) )
= $true )
| ( ( SV52 @ ( sK9_SY265 @ SV98 @ SV86 @ SV52 ) @ nil_poly_real )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[985]) ).
thf(1013,plain,
! [SV106: list_poly_real,SV104: poly_real,SV53: list_poly_real > $o,SV87: list_poly_real] :
( ( ( ( ( sK10_SY440 @ SV87 @ SV53 )
!= ( cons_poly_real @ SV104 @ SV106 ) )
| ( SV53 @ ( sK10_SY440 @ SV87 @ SV53 ) ) )
= $true )
| ( ( ~ ( SV53 @ nil_poly_real )
| ( SV53 @ SV87 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[986]) ).
thf(1014,plain,
! [SV89: poly_real > poly_real > $o,SV99: list_poly_real,SV55: ( poly_real > poly_real > $o ) > list_poly_real > $o] :
( ( ( SV55 @ ( sK33_SY281 @ SV99 @ SV89 @ SV55 ) @ ( cons_poly_real @ ( sK40_SY462 @ SV89 @ SV99 @ SV55 ) @ nil_poly_real ) )
= $false )
| ( ( ~ ! [SY283: poly_real > poly_real > $o,SY284: poly_real,SY285: poly_real,SY286: list_poly_real] :
( ~ ( SV55 @ SY283 @ ( cons_poly_real @ SY285 @ SY286 ) )
| ( SV55 @ SY283 @ ( cons_poly_real @ SY284 @ ( cons_poly_real @ SY285 @ SY286 ) ) ) )
| ( SV55 @ SV89 @ SV99 ) )
= $true )
| ( ( SV55 @ ( sK11_SY280 @ SV99 @ SV89 @ SV55 ) @ nil_poly_real )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[988]) ).
thf(1015,plain,
! [SV100: list_poly_real,SV90: list_poly_real,SV57: list_poly_real > list_poly_real > $o] :
( ( ( ! [SY472: list_poly_real] :
( ~ ( SV57 @ SY472 @ ( sK41_SY463 @ SV90 @ SV100 @ SV57 ) )
| ( SV57 @ ( cons_poly_real @ ( sK34_SY290 @ SV100 @ SV90 @ SV57 ) @ ( sK41_SY463 @ SV90 @ SV100 @ SV57 ) ) @ SY472 ) ) )
= $false )
| ( ( SV57 @ SV90 @ SV100 )
= $true )
| ( ( SV57 @ nil_poly_real @ ( sK12_SY289 @ SV100 @ SV90 @ SV57 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[989]) ).
thf(1016,plain,
! [SV91: list_poly_real,SV58: list_poly_real > $o] :
( ( ( SV58 @ ( sK26_SY454 @ SV91 @ SV58 ) )
= $true )
| ( ( SV58 @ SV91 )
= $true )
| ( ( SV58 @ nil_poly_real )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[990]) ).
thf(1017,plain,
! [SV102: list_poly_real,SV101: list_poly_real,SV92: poly_real > poly_real,SV59: ( poly_real > poly_real ) > list_poly_real > list_poly_real > $o] :
( ( ( ! [SY301: poly_real > poly_real,SY302: poly_real,SY303: list_poly_real,SY304: list_poly_real] :
( ~ ( SV59 @ SY301 @ SY303 @ ( cons_poly_real @ ( SY301 @ SY302 ) @ SY304 ) )
| ( SV59 @ SY301 @ ( cons_poly_real @ SY302 @ SY303 ) @ SY304 ) ) )
= $false )
| ( ( SV59 @ SV92 @ SV101 @ SV102 )
= $true )
| ( ( SV59 @ ( sK21_SY299 @ SV102 @ SV101 @ SV92 @ SV59 ) @ nil_poly_real @ ( sK27_SY455 @ SV92 @ SV101 @ SV102 @ SV59 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[992]) ).
thf(1018,plain,
! [SV33: list_poly_real] :
( ( ( ~ ~ ! [SY473: list_poly_real] :
( SV33
!= ( cons_poly_real @ ( sK42_SY194 @ SV33 ) @ SY473 ) ) )
= $false )
| ( ( SV33 = nil_poly_real )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[994]) ).
thf(1019,plain,
! [SV105: list_poly_real,SV103: poly_real,SV33: list_poly_real] :
( ( ( SV33
= ( cons_poly_real @ SV103 @ SV105 ) )
= $false )
| ( ( ~ ( ~ ( ( SV33 != nil_poly_real ) )
| ~ ~ ! [SY194: poly_real] :
~ ~ ! [SY195: list_poly_real] :
( SV33
!= ( cons_poly_real @ SY194 @ SY195 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[995]) ).
thf(1020,plain,
! [SV35: list_poly_real > $o,SV73: list_poly_real] :
( ( ( ! [SY474: list_poly_real] :
( ~ ( ( ( sK35_SY199 @ SV73 @ SV35 )
!= ( sK43_SY465 @ SV35 @ SV73 ) )
| ( SV35 @ ( cons_poly_real @ ( sK35_SY199 @ SV73 @ SV35 ) @ SY474 ) ) )
| ~ ( ~ ( ( ( sK35_SY199 @ SV73 @ SV35 )
!= ( sK43_SY465 @ SV35 @ SV73 ) ) )
| ( SV35 @ ( cons_poly_real @ ( sK43_SY465 @ SV35 @ SV73 ) @ SY474 ) ) )
| ( SV35 @ ( cons_poly_real @ ( sK35_SY199 @ SV73 @ SV35 ) @ ( cons_poly_real @ ( sK43_SY465 @ SV35 @ SV73 ) @ SY474 ) ) ) ) )
= $false )
| ( ( SV35 @ SV73 )
= $true )
| ( ( SV35 @ ( cons_poly_real @ ( sK13_SY198 @ SV73 @ SV35 ) @ nil_poly_real ) )
= $false )
| ( ( SV35 @ nil_poly_real )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[996]) ).
thf(1021,plain,
! [SV93: list_poly_real,SV75: list_poly_real,SV38: list_poly_real > list_poly_real > $o] :
( ( ( ! [SY209: poly_real,SY210: list_poly_real,SY211: poly_real,SY212: list_poly_real] :
( ~ ( SV38 @ SY210 @ ( cons_poly_real @ SY211 @ SY212 ) )
| ~ ( SV38 @ ( cons_poly_real @ SY209 @ SY210 ) @ SY212 )
| ( SV38 @ ( cons_poly_real @ SY209 @ SY210 ) @ ( cons_poly_real @ SY211 @ SY212 ) ) ) )
= $false )
| ( ( SV38 @ SV75 @ SV93 )
= $true )
| ( ( SV38 @ ( sK28_SY208 @ SV93 @ SV75 @ SV38 ) @ nil_poly_real )
= $false )
| ( ( SV38 @ nil_poly_real @ ( sK5_SY207 @ SV93 @ SV75 @ SV38 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[997]) ).
thf(1022,plain,
! [SV94: list_poly_real,SV76: list_poly_real,SV39: list_poly_real > list_poly_real > $o] :
( ( ( ! [SY217: poly_real,SY218: list_poly_real] : ( SV39 @ nil_poly_real @ ( cons_poly_real @ SY217 @ SY218 ) ) )
= $false )
| ( ( ~ ! [SY219: poly_real,SY220: list_poly_real,SY221: poly_real,SY222: list_poly_real] :
( ~ ( SV39 @ SY220 @ SY222 )
| ( SV39 @ ( cons_poly_real @ SY219 @ SY220 ) @ ( cons_poly_real @ SY221 @ SY222 ) ) )
| ( SV39 @ SV76 @ SV94 ) )
= $true )
| ( ( SV39 @ ( cons_poly_real @ ( sK22_SY215 @ SV94 @ SV76 @ SV39 ) @ ( sK29_SY456 @ SV76 @ SV94 @ SV39 ) ) @ nil_poly_real )
= $false )
| ( ( SV39 @ nil_poly_real @ nil_poly_real )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[998]) ).
thf(1023,plain,
! [SV77: poly_real > poly_real > $o,SV95: list_poly_real,SV40: ( poly_real > poly_real > $o ) > list_poly_real > $o] :
( ( ( ~ ( SV40 @ ( sK30_SY226 @ SV95 @ SV77 @ SV40 ) @ ( sK44_SY467 @ SV77 @ SV95 @ SV40 ) )
| ( SV40 @ ( sK30_SY226 @ SV95 @ SV77 @ SV40 ) @ ( cons_poly_real @ ( sK36_SY458 @ SV77 @ SV95 @ SV40 ) @ ( sK44_SY467 @ SV77 @ SV95 @ SV40 ) ) ) )
= $false )
| ( ( SV40 @ SV77 @ SV95 )
= $true )
| ( ( SV40 @ ( sK6_SY225 @ SV95 @ SV77 @ SV40 ) @ nil_poly_real )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[999]) ).
thf(1024,plain,
! [SV96: list_poly_real,SV78: list_poly_real,SV41: list_poly_real > list_poly_real > $o] :
( ( ( SV41 @ ( sK15_SY444 @ SV78 @ SV96 @ SV41 ) @ ( sK31_SY457 @ SV96 @ SV78 @ SV41 ) )
= $true )
| ( ( ~ ! [SY235: list_poly_real] : ( SV41 @ SY235 @ nil_poly_real )
| ~ ! [SY236: poly_real,SY237: list_poly_real] : ( SV41 @ nil_poly_real @ ( cons_poly_real @ SY236 @ SY237 ) )
| ( SV41 @ SV78 @ SV96 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1000]) ).
thf(1025,plain,
! [SV96: list_poly_real,SV78: list_poly_real,SV41: list_poly_real > list_poly_real > $o] :
( ( ( ~ ! [SY235: list_poly_real] : ( SV41 @ SY235 @ nil_poly_real ) )
= $true )
| ( ( ~ ! [SY236: poly_real,SY237: list_poly_real] : ( SV41 @ nil_poly_real @ ( cons_poly_real @ SY236 @ SY237 ) )
| ( SV41 @ SV78 @ SV96 ) )
= $true )
| ( ( SV41 @ ( cons_poly_real @ ( sK7_SY231 @ SV96 @ SV78 @ SV41 ) @ ( sK15_SY444 @ SV78 @ SV96 @ SV41 ) ) @ ( cons_poly_real @ ( sK23_SY451 @ SV96 @ SV78 @ SV41 ) @ ( sK31_SY457 @ SV96 @ SV78 @ SV41 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1001]) ).
thf(1026,plain,
! [SV42: list_poly_real,SV79: list_poly_real > $o] :
( ( ( ! [SY475: list_poly_real] :
( ~ ( ( SY475 != nil_poly_real ) )
| ~ ( SV79 @ SY475 )
| ( SV79 @ ( cons_poly_real @ ( sK45_SY339 @ SV42 @ SV79 ) @ SY475 ) ) ) )
= $false )
| ( ( SV79 @ SV42 )
= $true )
| ( ( SV79 @ ( cons_poly_real @ ( sK24_SY338 @ SV42 @ SV79 ) @ nil_poly_real ) )
= $false )
| ( ( SV42 = nil_poly_real )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1002]) ).
thf(1027,plain,
! [SV81: list_poly_real,SV44: list_poly_real] :
( ( ( SV44 != nil_poly_real )
= $false )
| ( ( nil_poly_real
= ( append_poly_real @ SV44 @ SV81 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1003]) ).
thf(1028,plain,
! [SV44: list_poly_real,SV81: list_poly_real] :
( ( ( SV81 != nil_poly_real )
= $false )
| ( ( nil_poly_real
= ( append_poly_real @ SV44 @ SV81 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1003]) ).
thf(1029,plain,
! [SV81: list_poly_real,SV44: list_poly_real] :
( ( ( ( nil_poly_real
!= ( append_poly_real @ SV44 @ SV81 ) )
| ~ ~ ( ( SV44 != nil_poly_real )
| ( SV81 != nil_poly_real ) ) )
= $false )
| ( ( SV44 = nil_poly_real )
= $false )
| ( ( SV81 = nil_poly_real )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1004]) ).
thf(1030,plain,
! [SV82: list_poly_real,SV45: list_poly_real > $o] :
( ( ( ! [SY476: list_poly_real] :
( ~ ( SV45 @ SY476 )
| ~ ( SV45 @ ( cons_poly_real @ ( sK46_SY468 @ SV82 @ SV45 ) @ SY476 ) )
| ( SV45 @ ( cons_poly_real @ ( sK37_SY247 @ SV82 @ SV45 ) @ ( cons_poly_real @ ( sK46_SY468 @ SV82 @ SV45 ) @ SY476 ) ) ) ) )
= $false )
| ( ( SV45 @ SV82 )
= $true )
| ( ( SV45 @ ( cons_poly_real @ ( sK16_SY246 @ SV82 @ SV45 ) @ nil_poly_real ) )
= $false )
| ( ( SV45 @ nil_poly_real )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1005]) ).
thf(1031,plain,
! [SV83: list_poly_real,SV46: list_poly_real] :
( ( ( SV46 != nil_poly_real )
= $false )
| ( ( ( splice_poly_real @ SV46 @ SV83 )
= nil_poly_real )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1006]) ).
thf(1032,plain,
! [SV46: list_poly_real,SV83: list_poly_real] :
( ( ( SV83 != nil_poly_real )
= $false )
| ( ( ( splice_poly_real @ SV46 @ SV83 )
= nil_poly_real )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1006]) ).
thf(1033,plain,
! [SV83: list_poly_real,SV46: list_poly_real] :
( ( ( ( ( splice_poly_real @ SV46 @ SV83 )
!= nil_poly_real )
| ~ ~ ( ( SV46 != nil_poly_real )
| ( SV83 != nil_poly_real ) ) )
= $false )
| ( ( SV46 = nil_poly_real )
= $false )
| ( ( SV83 = nil_poly_real )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1007]) ).
thf(1034,plain,
! [SV47: list_poly_real] :
( ( ( ! [SY477: list_poly_real] :
( SV47
!= ( cons_poly_real @ ( sK38_SY252 @ SV47 ) @ ( cons_poly_real @ ( sK47_SY470 @ SV47 ) @ SY477 ) ) ) )
= $false )
| ( ( SV47
= ( cons_poly_real @ ( sK17_SY251 @ SV47 ) @ nil_poly_real ) )
= $true )
| ( ( SV47 = nil_poly_real )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1008]) ).
thf(1035,plain,
! [SV85: list_poly_real,SV50: list_poly_real] :
( ( ( SV50 != nil_poly_real )
= $false )
| ( ( ( append_poly_real @ SV50 @ SV85 )
= nil_poly_real )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1010]) ).
thf(1036,plain,
! [SV50: list_poly_real,SV85: list_poly_real] :
( ( ( SV85 != nil_poly_real )
= $false )
| ( ( ( append_poly_real @ SV50 @ SV85 )
= nil_poly_real )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1010]) ).
thf(1037,plain,
! [SV85: list_poly_real,SV50: list_poly_real] :
( ( ( ( ( append_poly_real @ SV50 @ SV85 )
!= nil_poly_real )
| ~ ~ ( ( SV50 != nil_poly_real )
| ( SV85 != nil_poly_real ) ) )
= $false )
| ( ( SV50 = nil_poly_real )
= $false )
| ( ( SV85 = nil_poly_real )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1011]) ).
thf(1038,plain,
! [SV98: list_poly_real,SV86: list_poly_real,SV52: list_poly_real > list_poly_real > $o] :
( ( ( ~ ! [SY268: poly_real,SY269: list_poly_real,SY270: poly_real,SY271: list_poly_real] :
( ~ ( SV52 @ SY269 @ SY271 )
| ( SV52 @ ( cons_poly_real @ SY268 @ SY269 ) @ ( cons_poly_real @ SY270 @ SY271 ) ) ) )
= $true )
| ( ( SV52 @ SV86 @ SV98 )
= $true )
| ( ( SV52 @ nil_poly_real @ ( cons_poly_real @ ( sK32_SY266 @ SV98 @ SV86 @ SV52 ) @ ( sK39_SY460 @ SV86 @ SV98 @ SV52 ) ) )
= $false )
| ( ( SV52 @ ( sK9_SY265 @ SV98 @ SV86 @ SV52 ) @ nil_poly_real )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1012]) ).
thf(1039,plain,
! [SV106: list_poly_real,SV104: poly_real,SV53: list_poly_real > $o,SV87: list_poly_real] :
( ( ( ( sK10_SY440 @ SV87 @ SV53 )
!= ( cons_poly_real @ SV104 @ SV106 ) )
= $true )
| ( ( SV53 @ ( sK10_SY440 @ SV87 @ SV53 ) )
= $true )
| ( ( ~ ( SV53 @ nil_poly_real )
| ( SV53 @ SV87 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1013]) ).
thf(1040,plain,
! [SV99: list_poly_real,SV89: poly_real > poly_real > $o,SV55: ( poly_real > poly_real > $o ) > list_poly_real > $o] :
( ( ( ~ ! [SY283: poly_real > poly_real > $o,SY284: poly_real,SY285: poly_real,SY286: list_poly_real] :
( ~ ( SV55 @ SY283 @ ( cons_poly_real @ SY285 @ SY286 ) )
| ( SV55 @ SY283 @ ( cons_poly_real @ SY284 @ ( cons_poly_real @ SY285 @ SY286 ) ) ) ) )
= $true )
| ( ( SV55 @ SV89 @ SV99 )
= $true )
| ( ( SV55 @ ( sK33_SY281 @ SV99 @ SV89 @ SV55 ) @ ( cons_poly_real @ ( sK40_SY462 @ SV89 @ SV99 @ SV55 ) @ nil_poly_real ) )
= $false )
| ( ( SV55 @ ( sK11_SY280 @ SV99 @ SV89 @ SV55 ) @ nil_poly_real )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1014]) ).
thf(1041,plain,
! [SV90: list_poly_real,SV100: list_poly_real,SV57: list_poly_real > list_poly_real > $o] :
( ( ( ~ ( SV57 @ ( sK48_SY472 @ SV100 @ SV90 @ SV57 ) @ ( sK41_SY463 @ SV90 @ SV100 @ SV57 ) )
| ( SV57 @ ( cons_poly_real @ ( sK34_SY290 @ SV100 @ SV90 @ SV57 ) @ ( sK41_SY463 @ SV90 @ SV100 @ SV57 ) ) @ ( sK48_SY472 @ SV100 @ SV90 @ SV57 ) ) )
= $false )
| ( ( SV57 @ SV90 @ SV100 )
= $true )
| ( ( SV57 @ nil_poly_real @ ( sK12_SY289 @ SV100 @ SV90 @ SV57 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1015]) ).
thf(1042,plain,
! [SV92: poly_real > poly_real,SV101: list_poly_real,SV102: list_poly_real,SV59: ( poly_real > poly_real ) > list_poly_real > list_poly_real > $o] :
( ( ( ! [SY478: poly_real,SY479: list_poly_real,SY480: list_poly_real] :
( ~ ( SV59 @ ( sK49_SY301 @ SV102 @ SV101 @ SV92 @ SV59 ) @ SY479 @ ( cons_poly_real @ ( sK49_SY301 @ SV102 @ SV101 @ SV92 @ SV59 @ SY478 ) @ SY480 ) )
| ( SV59 @ ( sK49_SY301 @ SV102 @ SV101 @ SV92 @ SV59 ) @ ( cons_poly_real @ SY478 @ SY479 ) @ SY480 ) ) )
= $false )
| ( ( SV59 @ SV92 @ SV101 @ SV102 )
= $true )
| ( ( SV59 @ ( sK21_SY299 @ SV102 @ SV101 @ SV92 @ SV59 ) @ nil_poly_real @ ( sK27_SY455 @ SV92 @ SV101 @ SV102 @ SV59 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1017]) ).
thf(1043,plain,
! [SV33: list_poly_real] :
( ( ( ~ ! [SY473: list_poly_real] :
( SV33
!= ( cons_poly_real @ ( sK42_SY194 @ SV33 ) @ SY473 ) ) )
= $true )
| ( ( SV33 = nil_poly_real )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1018]) ).
thf(1044,plain,
! [SV105: list_poly_real,SV103: poly_real,SV33: list_poly_real] :
( ( ( ~ ( ( SV33 != nil_poly_real ) )
| ~ ~ ! [SY194: poly_real] :
~ ~ ! [SY195: list_poly_real] :
( SV33
!= ( cons_poly_real @ SY194 @ SY195 ) ) )
= $false )
| ( ( SV33
= ( cons_poly_real @ SV103 @ SV105 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1019]) ).
thf(1045,plain,
! [SV35: list_poly_real > $o,SV73: list_poly_real] :
( ( ( ~ ( ( ( sK35_SY199 @ SV73 @ SV35 )
!= ( sK43_SY465 @ SV35 @ SV73 ) )
| ( SV35 @ ( cons_poly_real @ ( sK35_SY199 @ SV73 @ SV35 ) @ ( sK50_SY474 @ SV35 @ SV73 ) ) ) )
| ~ ( ~ ( ( ( sK35_SY199 @ SV73 @ SV35 )
!= ( sK43_SY465 @ SV35 @ SV73 ) ) )
| ( SV35 @ ( cons_poly_real @ ( sK43_SY465 @ SV35 @ SV73 ) @ ( sK50_SY474 @ SV35 @ SV73 ) ) ) )
| ( SV35 @ ( cons_poly_real @ ( sK35_SY199 @ SV73 @ SV35 ) @ ( cons_poly_real @ ( sK43_SY465 @ SV35 @ SV73 ) @ ( sK50_SY474 @ SV35 @ SV73 ) ) ) ) )
= $false )
| ( ( SV35 @ SV73 )
= $true )
| ( ( SV35 @ ( cons_poly_real @ ( sK13_SY198 @ SV73 @ SV35 ) @ nil_poly_real ) )
= $false )
| ( ( SV35 @ nil_poly_real )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1020]) ).
thf(1046,plain,
! [SV75: list_poly_real,SV93: list_poly_real,SV38: list_poly_real > list_poly_real > $o] :
( ( ( ! [SY481: list_poly_real,SY482: poly_real,SY483: list_poly_real] :
( ~ ( SV38 @ SY481 @ ( cons_poly_real @ SY482 @ SY483 ) )
| ~ ( SV38 @ ( cons_poly_real @ ( sK51_SY209 @ SV93 @ SV75 @ SV38 ) @ SY481 ) @ SY483 )
| ( SV38 @ ( cons_poly_real @ ( sK51_SY209 @ SV93 @ SV75 @ SV38 ) @ SY481 ) @ ( cons_poly_real @ SY482 @ SY483 ) ) ) )
= $false )
| ( ( SV38 @ SV75 @ SV93 )
= $true )
| ( ( SV38 @ ( sK28_SY208 @ SV93 @ SV75 @ SV38 ) @ nil_poly_real )
= $false )
| ( ( SV38 @ nil_poly_real @ ( sK5_SY207 @ SV93 @ SV75 @ SV38 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1021]) ).
thf(1047,plain,
! [SV76: list_poly_real,SV94: list_poly_real,SV39: list_poly_real > list_poly_real > $o] :
( ( ( ! [SY484: list_poly_real] : ( SV39 @ nil_poly_real @ ( cons_poly_real @ ( sK52_SY217 @ SV94 @ SV76 @ SV39 ) @ SY484 ) ) )
= $false )
| ( ( ~ ! [SY219: poly_real,SY220: list_poly_real,SY221: poly_real,SY222: list_poly_real] :
( ~ ( SV39 @ SY220 @ SY222 )
| ( SV39 @ ( cons_poly_real @ SY219 @ SY220 ) @ ( cons_poly_real @ SY221 @ SY222 ) ) )
| ( SV39 @ SV76 @ SV94 ) )
= $true )
| ( ( SV39 @ ( cons_poly_real @ ( sK22_SY215 @ SV94 @ SV76 @ SV39 ) @ ( sK29_SY456 @ SV76 @ SV94 @ SV39 ) ) @ nil_poly_real )
= $false )
| ( ( SV39 @ nil_poly_real @ nil_poly_real )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1022]) ).
thf(1048,plain,
! [SV77: poly_real > poly_real > $o,SV95: list_poly_real,SV40: ( poly_real > poly_real > $o ) > list_poly_real > $o] :
( ( ( ~ ( SV40 @ ( sK30_SY226 @ SV95 @ SV77 @ SV40 ) @ ( sK44_SY467 @ SV77 @ SV95 @ SV40 ) ) )
= $false )
| ( ( SV40 @ SV77 @ SV95 )
= $true )
| ( ( SV40 @ ( sK6_SY225 @ SV95 @ SV77 @ SV40 ) @ nil_poly_real )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1023]) ).
thf(1049,plain,
! [SV77: poly_real > poly_real > $o,SV95: list_poly_real,SV40: ( poly_real > poly_real > $o ) > list_poly_real > $o] :
( ( ( SV40 @ ( sK30_SY226 @ SV95 @ SV77 @ SV40 ) @ ( cons_poly_real @ ( sK36_SY458 @ SV77 @ SV95 @ SV40 ) @ ( sK44_SY467 @ SV77 @ SV95 @ SV40 ) ) )
= $false )
| ( ( SV40 @ SV77 @ SV95 )
= $true )
| ( ( SV40 @ ( sK6_SY225 @ SV95 @ SV77 @ SV40 ) @ nil_poly_real )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1023]) ).
thf(1050,plain,
! [SV96: list_poly_real,SV78: list_poly_real,SV41: list_poly_real > list_poly_real > $o] :
( ( ( ~ ! [SY235: list_poly_real] : ( SV41 @ SY235 @ nil_poly_real ) )
= $true )
| ( ( ~ ! [SY236: poly_real,SY237: list_poly_real] : ( SV41 @ nil_poly_real @ ( cons_poly_real @ SY236 @ SY237 ) )
| ( SV41 @ SV78 @ SV96 ) )
= $true )
| ( ( SV41 @ ( sK15_SY444 @ SV78 @ SV96 @ SV41 ) @ ( sK31_SY457 @ SV96 @ SV78 @ SV41 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1024]) ).
thf(1051,plain,
! [SV96: list_poly_real,SV78: list_poly_real,SV41: list_poly_real > list_poly_real > $o] :
( ( ( ! [SY235: list_poly_real] : ( SV41 @ SY235 @ nil_poly_real ) )
= $false )
| ( ( ~ ! [SY236: poly_real,SY237: list_poly_real] : ( SV41 @ nil_poly_real @ ( cons_poly_real @ SY236 @ SY237 ) )
| ( SV41 @ SV78 @ SV96 ) )
= $true )
| ( ( SV41 @ ( cons_poly_real @ ( sK7_SY231 @ SV96 @ SV78 @ SV41 ) @ ( sK15_SY444 @ SV78 @ SV96 @ SV41 ) ) @ ( cons_poly_real @ ( sK23_SY451 @ SV96 @ SV78 @ SV41 ) @ ( sK31_SY457 @ SV96 @ SV78 @ SV41 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1025]) ).
thf(1052,plain,
! [SV79: list_poly_real > $o,SV42: list_poly_real] :
( ( ( ~ ( ( ( sK53_SY475 @ SV42 @ SV79 )
!= nil_poly_real ) )
| ~ ( SV79 @ ( sK53_SY475 @ SV42 @ SV79 ) )
| ( SV79 @ ( cons_poly_real @ ( sK45_SY339 @ SV42 @ SV79 ) @ ( sK53_SY475 @ SV42 @ SV79 ) ) ) )
= $false )
| ( ( SV79 @ SV42 )
= $true )
| ( ( SV79 @ ( cons_poly_real @ ( sK24_SY338 @ SV42 @ SV79 ) @ nil_poly_real ) )
= $false )
| ( ( SV42 = nil_poly_real )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1026]) ).
thf(1053,plain,
! [SV81: list_poly_real,SV44: list_poly_real] :
( ( ( SV44 = nil_poly_real )
= $true )
| ( ( nil_poly_real
= ( append_poly_real @ SV44 @ SV81 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1027]) ).
thf(1054,plain,
! [SV44: list_poly_real,SV81: list_poly_real] :
( ( ( SV81 = nil_poly_real )
= $true )
| ( ( nil_poly_real
= ( append_poly_real @ SV44 @ SV81 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1028]) ).
thf(1055,plain,
! [SV81: list_poly_real,SV44: list_poly_real] :
( ( ( nil_poly_real
!= ( append_poly_real @ SV44 @ SV81 ) )
= $false )
| ( ( SV44 = nil_poly_real )
= $false )
| ( ( SV81 = nil_poly_real )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1029]) ).
thf(1056,plain,
! [SV81: list_poly_real,SV44: list_poly_real] :
( ( ( ~ ~ ( ( SV44 != nil_poly_real )
| ( SV81 != nil_poly_real ) ) )
= $false )
| ( ( SV44 = nil_poly_real )
= $false )
| ( ( SV81 = nil_poly_real )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1029]) ).
thf(1057,plain,
! [SV82: list_poly_real,SV45: list_poly_real > $o] :
( ( ( ~ ( SV45 @ ( sK54_SY476 @ SV82 @ SV45 ) )
| ~ ( SV45 @ ( cons_poly_real @ ( sK46_SY468 @ SV82 @ SV45 ) @ ( sK54_SY476 @ SV82 @ SV45 ) ) )
| ( SV45 @ ( cons_poly_real @ ( sK37_SY247 @ SV82 @ SV45 ) @ ( cons_poly_real @ ( sK46_SY468 @ SV82 @ SV45 ) @ ( sK54_SY476 @ SV82 @ SV45 ) ) ) ) )
= $false )
| ( ( SV45 @ SV82 )
= $true )
| ( ( SV45 @ ( cons_poly_real @ ( sK16_SY246 @ SV82 @ SV45 ) @ nil_poly_real ) )
= $false )
| ( ( SV45 @ nil_poly_real )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1030]) ).
thf(1058,plain,
! [SV83: list_poly_real,SV46: list_poly_real] :
( ( ( SV46 = nil_poly_real )
= $true )
| ( ( ( splice_poly_real @ SV46 @ SV83 )
= nil_poly_real )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1031]) ).
thf(1059,plain,
! [SV46: list_poly_real,SV83: list_poly_real] :
( ( ( SV83 = nil_poly_real )
= $true )
| ( ( ( splice_poly_real @ SV46 @ SV83 )
= nil_poly_real )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1032]) ).
thf(1060,plain,
! [SV83: list_poly_real,SV46: list_poly_real] :
( ( ( ( splice_poly_real @ SV46 @ SV83 )
!= nil_poly_real )
= $false )
| ( ( SV46 = nil_poly_real )
= $false )
| ( ( SV83 = nil_poly_real )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1033]) ).
thf(1061,plain,
! [SV83: list_poly_real,SV46: list_poly_real] :
( ( ( ~ ~ ( ( SV46 != nil_poly_real )
| ( SV83 != nil_poly_real ) ) )
= $false )
| ( ( SV46 = nil_poly_real )
= $false )
| ( ( SV83 = nil_poly_real )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1033]) ).
thf(1062,plain,
! [SV47: list_poly_real] :
( ( ( SV47
!= ( cons_poly_real @ ( sK38_SY252 @ SV47 ) @ ( cons_poly_real @ ( sK47_SY470 @ SV47 ) @ ( sK55_SY477 @ SV47 ) ) ) )
= $false )
| ( ( SV47
= ( cons_poly_real @ ( sK17_SY251 @ SV47 ) @ nil_poly_real ) )
= $true )
| ( ( SV47 = nil_poly_real )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1034]) ).
thf(1063,plain,
! [SV85: list_poly_real,SV50: list_poly_real] :
( ( ( SV50 = nil_poly_real )
= $true )
| ( ( ( append_poly_real @ SV50 @ SV85 )
= nil_poly_real )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1035]) ).
thf(1064,plain,
! [SV50: list_poly_real,SV85: list_poly_real] :
( ( ( SV85 = nil_poly_real )
= $true )
| ( ( ( append_poly_real @ SV50 @ SV85 )
= nil_poly_real )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1036]) ).
thf(1065,plain,
! [SV85: list_poly_real,SV50: list_poly_real] :
( ( ( ( append_poly_real @ SV50 @ SV85 )
!= nil_poly_real )
= $false )
| ( ( SV50 = nil_poly_real )
= $false )
| ( ( SV85 = nil_poly_real )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1037]) ).
thf(1066,plain,
! [SV85: list_poly_real,SV50: list_poly_real] :
( ( ( ~ ~ ( ( SV50 != nil_poly_real )
| ( SV85 != nil_poly_real ) ) )
= $false )
| ( ( SV50 = nil_poly_real )
= $false )
| ( ( SV85 = nil_poly_real )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1037]) ).
thf(1067,plain,
! [SV98: list_poly_real,SV86: list_poly_real,SV52: list_poly_real > list_poly_real > $o] :
( ( ( ! [SY268: poly_real,SY269: list_poly_real,SY270: poly_real,SY271: list_poly_real] :
( ~ ( SV52 @ SY269 @ SY271 )
| ( SV52 @ ( cons_poly_real @ SY268 @ SY269 ) @ ( cons_poly_real @ SY270 @ SY271 ) ) ) )
= $false )
| ( ( SV52 @ SV86 @ SV98 )
= $true )
| ( ( SV52 @ nil_poly_real @ ( cons_poly_real @ ( sK32_SY266 @ SV98 @ SV86 @ SV52 ) @ ( sK39_SY460 @ SV86 @ SV98 @ SV52 ) ) )
= $false )
| ( ( SV52 @ ( sK9_SY265 @ SV98 @ SV86 @ SV52 ) @ nil_poly_real )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1038]) ).
thf(1068,plain,
! [SV106: list_poly_real,SV104: poly_real,SV53: list_poly_real > $o,SV87: list_poly_real] :
( ( ( ( sK10_SY440 @ SV87 @ SV53 )
= ( cons_poly_real @ SV104 @ SV106 ) )
= $false )
| ( ( SV53 @ ( sK10_SY440 @ SV87 @ SV53 ) )
= $true )
| ( ( ~ ( SV53 @ nil_poly_real )
| ( SV53 @ SV87 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1039]) ).
thf(1069,plain,
! [SV99: list_poly_real,SV89: poly_real > poly_real > $o,SV55: ( poly_real > poly_real > $o ) > list_poly_real > $o] :
( ( ( ! [SY283: poly_real > poly_real > $o,SY284: poly_real,SY285: poly_real,SY286: list_poly_real] :
( ~ ( SV55 @ SY283 @ ( cons_poly_real @ SY285 @ SY286 ) )
| ( SV55 @ SY283 @ ( cons_poly_real @ SY284 @ ( cons_poly_real @ SY285 @ SY286 ) ) ) ) )
= $false )
| ( ( SV55 @ SV89 @ SV99 )
= $true )
| ( ( SV55 @ ( sK33_SY281 @ SV99 @ SV89 @ SV55 ) @ ( cons_poly_real @ ( sK40_SY462 @ SV89 @ SV99 @ SV55 ) @ nil_poly_real ) )
= $false )
| ( ( SV55 @ ( sK11_SY280 @ SV99 @ SV89 @ SV55 ) @ nil_poly_real )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1040]) ).
thf(1070,plain,
! [SV90: list_poly_real,SV100: list_poly_real,SV57: list_poly_real > list_poly_real > $o] :
( ( ( ~ ( SV57 @ ( sK48_SY472 @ SV100 @ SV90 @ SV57 ) @ ( sK41_SY463 @ SV90 @ SV100 @ SV57 ) ) )
= $false )
| ( ( SV57 @ SV90 @ SV100 )
= $true )
| ( ( SV57 @ nil_poly_real @ ( sK12_SY289 @ SV100 @ SV90 @ SV57 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1041]) ).
thf(1071,plain,
! [SV90: list_poly_real,SV100: list_poly_real,SV57: list_poly_real > list_poly_real > $o] :
( ( ( SV57 @ ( cons_poly_real @ ( sK34_SY290 @ SV100 @ SV90 @ SV57 ) @ ( sK41_SY463 @ SV90 @ SV100 @ SV57 ) ) @ ( sK48_SY472 @ SV100 @ SV90 @ SV57 ) )
= $false )
| ( ( SV57 @ SV90 @ SV100 )
= $true )
| ( ( SV57 @ nil_poly_real @ ( sK12_SY289 @ SV100 @ SV90 @ SV57 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1041]) ).
thf(1072,plain,
! [SV92: poly_real > poly_real,SV101: list_poly_real,SV102: list_poly_real,SV59: ( poly_real > poly_real ) > list_poly_real > list_poly_real > $o] :
( ( ( ! [SY485: list_poly_real,SY486: list_poly_real] :
( ~ ( SV59 @ ( sK49_SY301 @ SV102 @ SV101 @ SV92 @ SV59 ) @ SY485 @ ( cons_poly_real @ ( sK49_SY301 @ SV102 @ SV101 @ SV92 @ SV59 @ ( sK56_SY478 @ SV92 @ SV101 @ SV102 @ SV59 ) ) @ SY486 ) )
| ( SV59 @ ( sK49_SY301 @ SV102 @ SV101 @ SV92 @ SV59 ) @ ( cons_poly_real @ ( sK56_SY478 @ SV92 @ SV101 @ SV102 @ SV59 ) @ SY485 ) @ SY486 ) ) )
= $false )
| ( ( SV59 @ SV92 @ SV101 @ SV102 )
= $true )
| ( ( SV59 @ ( sK21_SY299 @ SV102 @ SV101 @ SV92 @ SV59 ) @ nil_poly_real @ ( sK27_SY455 @ SV92 @ SV101 @ SV102 @ SV59 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1042]) ).
thf(1073,plain,
! [SV33: list_poly_real] :
( ( ( ! [SY473: list_poly_real] :
( SV33
!= ( cons_poly_real @ ( sK42_SY194 @ SV33 ) @ SY473 ) ) )
= $false )
| ( ( SV33 = nil_poly_real )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1043]) ).
thf(1074,plain,
! [SV105: list_poly_real,SV103: poly_real,SV33: list_poly_real] :
( ( ( ~ ( ( SV33 != nil_poly_real ) ) )
= $false )
| ( ( SV33
= ( cons_poly_real @ SV103 @ SV105 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1044]) ).
thf(1075,plain,
! [SV105: list_poly_real,SV103: poly_real,SV33: list_poly_real] :
( ( ( ~ ~ ! [SY194: poly_real] :
~ ~ ! [SY195: list_poly_real] :
( SV33
!= ( cons_poly_real @ SY194 @ SY195 ) ) )
= $false )
| ( ( SV33
= ( cons_poly_real @ SV103 @ SV105 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1044]) ).
thf(1076,plain,
! [SV35: list_poly_real > $o,SV73: list_poly_real] :
( ( ( ~ ( ( ( sK35_SY199 @ SV73 @ SV35 )
!= ( sK43_SY465 @ SV35 @ SV73 ) )
| ( SV35 @ ( cons_poly_real @ ( sK35_SY199 @ SV73 @ SV35 ) @ ( sK50_SY474 @ SV35 @ SV73 ) ) ) ) )
= $false )
| ( ( SV35 @ SV73 )
= $true )
| ( ( SV35 @ ( cons_poly_real @ ( sK13_SY198 @ SV73 @ SV35 ) @ nil_poly_real ) )
= $false )
| ( ( SV35 @ nil_poly_real )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1045]) ).
thf(1077,plain,
! [SV35: list_poly_real > $o,SV73: list_poly_real] :
( ( ( ~ ( ~ ( ( ( sK35_SY199 @ SV73 @ SV35 )
!= ( sK43_SY465 @ SV35 @ SV73 ) ) )
| ( SV35 @ ( cons_poly_real @ ( sK43_SY465 @ SV35 @ SV73 ) @ ( sK50_SY474 @ SV35 @ SV73 ) ) ) )
| ( SV35 @ ( cons_poly_real @ ( sK35_SY199 @ SV73 @ SV35 ) @ ( cons_poly_real @ ( sK43_SY465 @ SV35 @ SV73 ) @ ( sK50_SY474 @ SV35 @ SV73 ) ) ) ) )
= $false )
| ( ( SV35 @ SV73 )
= $true )
| ( ( SV35 @ ( cons_poly_real @ ( sK13_SY198 @ SV73 @ SV35 ) @ nil_poly_real ) )
= $false )
| ( ( SV35 @ nil_poly_real )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1045]) ).
thf(1078,plain,
! [SV93: list_poly_real,SV75: list_poly_real,SV38: list_poly_real > list_poly_real > $o] :
( ( ( ! [SY487: poly_real,SY488: list_poly_real] :
( ~ ( SV38 @ ( sK57_SY481 @ SV75 @ SV93 @ SV38 ) @ ( cons_poly_real @ SY487 @ SY488 ) )
| ~ ( SV38 @ ( cons_poly_real @ ( sK51_SY209 @ SV93 @ SV75 @ SV38 ) @ ( sK57_SY481 @ SV75 @ SV93 @ SV38 ) ) @ SY488 )
| ( SV38 @ ( cons_poly_real @ ( sK51_SY209 @ SV93 @ SV75 @ SV38 ) @ ( sK57_SY481 @ SV75 @ SV93 @ SV38 ) ) @ ( cons_poly_real @ SY487 @ SY488 ) ) ) )
= $false )
| ( ( SV38 @ SV75 @ SV93 )
= $true )
| ( ( SV38 @ ( sK28_SY208 @ SV93 @ SV75 @ SV38 ) @ nil_poly_real )
= $false )
| ( ( SV38 @ nil_poly_real @ ( sK5_SY207 @ SV93 @ SV75 @ SV38 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1046]) ).
thf(1079,plain,
! [SV76: list_poly_real,SV94: list_poly_real,SV39: list_poly_real > list_poly_real > $o] :
( ( ( SV39 @ nil_poly_real @ ( cons_poly_real @ ( sK52_SY217 @ SV94 @ SV76 @ SV39 ) @ ( sK58_SY484 @ SV76 @ SV94 @ SV39 ) ) )
= $false )
| ( ( ~ ! [SY219: poly_real,SY220: list_poly_real,SY221: poly_real,SY222: list_poly_real] :
( ~ ( SV39 @ SY220 @ SY222 )
| ( SV39 @ ( cons_poly_real @ SY219 @ SY220 ) @ ( cons_poly_real @ SY221 @ SY222 ) ) )
| ( SV39 @ SV76 @ SV94 ) )
= $true )
| ( ( SV39 @ ( cons_poly_real @ ( sK22_SY215 @ SV94 @ SV76 @ SV39 ) @ ( sK29_SY456 @ SV76 @ SV94 @ SV39 ) ) @ nil_poly_real )
= $false )
| ( ( SV39 @ nil_poly_real @ nil_poly_real )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1047]) ).
thf(1080,plain,
! [SV77: poly_real > poly_real > $o,SV95: list_poly_real,SV40: ( poly_real > poly_real > $o ) > list_poly_real > $o] :
( ( ( SV40 @ ( sK30_SY226 @ SV95 @ SV77 @ SV40 ) @ ( sK44_SY467 @ SV77 @ SV95 @ SV40 ) )
= $true )
| ( ( SV40 @ SV77 @ SV95 )
= $true )
| ( ( SV40 @ ( sK6_SY225 @ SV95 @ SV77 @ SV40 ) @ nil_poly_real )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1048]) ).
thf(1081,plain,
! [SV96: list_poly_real,SV78: list_poly_real,SV41: list_poly_real > list_poly_real > $o] :
( ( ( ! [SY235: list_poly_real] : ( SV41 @ SY235 @ nil_poly_real ) )
= $false )
| ( ( ~ ! [SY236: poly_real,SY237: list_poly_real] : ( SV41 @ nil_poly_real @ ( cons_poly_real @ SY236 @ SY237 ) )
| ( SV41 @ SV78 @ SV96 ) )
= $true )
| ( ( SV41 @ ( sK15_SY444 @ SV78 @ SV96 @ SV41 ) @ ( sK31_SY457 @ SV96 @ SV78 @ SV41 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1050]) ).
thf(1082,plain,
! [SV78: list_poly_real,SV96: list_poly_real,SV41: list_poly_real > list_poly_real > $o] :
( ( ( SV41 @ ( sK59_SY235 @ SV96 @ SV78 @ SV41 ) @ nil_poly_real )
= $false )
| ( ( ~ ! [SY236: poly_real,SY237: list_poly_real] : ( SV41 @ nil_poly_real @ ( cons_poly_real @ SY236 @ SY237 ) )
| ( SV41 @ SV78 @ SV96 ) )
= $true )
| ( ( SV41 @ ( cons_poly_real @ ( sK7_SY231 @ SV96 @ SV78 @ SV41 ) @ ( sK15_SY444 @ SV78 @ SV96 @ SV41 ) ) @ ( cons_poly_real @ ( sK23_SY451 @ SV96 @ SV78 @ SV41 ) @ ( sK31_SY457 @ SV96 @ SV78 @ SV41 ) ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1051]) ).
thf(1083,plain,
! [SV79: list_poly_real > $o,SV42: list_poly_real] :
( ( ( ~ ( ( ( sK53_SY475 @ SV42 @ SV79 )
!= nil_poly_real ) ) )
= $false )
| ( ( SV79 @ SV42 )
= $true )
| ( ( SV79 @ ( cons_poly_real @ ( sK24_SY338 @ SV42 @ SV79 ) @ nil_poly_real ) )
= $false )
| ( ( SV42 = nil_poly_real )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1052]) ).
thf(1084,plain,
! [SV42: list_poly_real,SV79: list_poly_real > $o] :
( ( ( ~ ( SV79 @ ( sK53_SY475 @ SV42 @ SV79 ) )
| ( SV79 @ ( cons_poly_real @ ( sK45_SY339 @ SV42 @ SV79 ) @ ( sK53_SY475 @ SV42 @ SV79 ) ) ) )
= $false )
| ( ( SV79 @ SV42 )
= $true )
| ( ( SV79 @ ( cons_poly_real @ ( sK24_SY338 @ SV42 @ SV79 ) @ nil_poly_real ) )
= $false )
| ( ( SV42 = nil_poly_real )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1052]) ).
thf(1085,plain,
! [SV81: list_poly_real,SV44: list_poly_real] :
( ( ( nil_poly_real
= ( append_poly_real @ SV44 @ SV81 ) )
= $true )
| ( ( SV44 = nil_poly_real )
= $false )
| ( ( SV81 = nil_poly_real )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1055]) ).
thf(1086,plain,
! [SV81: list_poly_real,SV44: list_poly_real] :
( ( ( ~ ( ( SV44 != nil_poly_real )
| ( SV81 != nil_poly_real ) ) )
= $true )
| ( ( SV44 = nil_poly_real )
= $false )
| ( ( SV81 = nil_poly_real )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1056]) ).
thf(1087,plain,
! [SV82: list_poly_real,SV45: list_poly_real > $o] :
( ( ( ~ ( SV45 @ ( sK54_SY476 @ SV82 @ SV45 ) ) )
= $false )
| ( ( SV45 @ SV82 )
= $true )
| ( ( SV45 @ ( cons_poly_real @ ( sK16_SY246 @ SV82 @ SV45 ) @ nil_poly_real ) )
= $false )
| ( ( SV45 @ nil_poly_real )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1057]) ).
thf(1088,plain,
! [SV82: list_poly_real,SV45: list_poly_real > $o] :
( ( ( ~ ( SV45 @ ( cons_poly_real @ ( sK46_SY468 @ SV82 @ SV45 ) @ ( sK54_SY476 @ SV82 @ SV45 ) ) )
| ( SV45 @ ( cons_poly_real @ ( sK37_SY247 @ SV82 @ SV45 ) @ ( cons_poly_real @ ( sK46_SY468 @ SV82 @ SV45 ) @ ( sK54_SY476 @ SV82 @ SV45 ) ) ) ) )
= $false )
| ( ( SV45 @ SV82 )
= $true )
| ( ( SV45 @ ( cons_poly_real @ ( sK16_SY246 @ SV82 @ SV45 ) @ nil_poly_real ) )
= $false )
| ( ( SV45 @ nil_poly_real )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1057]) ).
thf(1089,plain,
! [SV83: list_poly_real,SV46: list_poly_real] :
( ( ( ( splice_poly_real @ SV46 @ SV83 )
= nil_poly_real )
= $true )
| ( ( SV46 = nil_poly_real )
= $false )
| ( ( SV83 = nil_poly_real )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1060]) ).
thf(1090,plain,
! [SV83: list_poly_real,SV46: list_poly_real] :
( ( ( ~ ( ( SV46 != nil_poly_real )
| ( SV83 != nil_poly_real ) ) )
= $true )
| ( ( SV46 = nil_poly_real )
= $false )
| ( ( SV83 = nil_poly_real )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1061]) ).
thf(1091,plain,
! [SV47: list_poly_real] :
( ( ( SV47
= ( cons_poly_real @ ( sK38_SY252 @ SV47 ) @ ( cons_poly_real @ ( sK47_SY470 @ SV47 ) @ ( sK55_SY477 @ SV47 ) ) ) )
= $true )
| ( ( SV47
= ( cons_poly_real @ ( sK17_SY251 @ SV47 ) @ nil_poly_real ) )
= $true )
| ( ( SV47 = nil_poly_real )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1062]) ).
thf(1092,plain,
! [SV85: list_poly_real,SV50: list_poly_real] :
( ( ( ( append_poly_real @ SV50 @ SV85 )
= nil_poly_real )
= $true )
| ( ( SV50 = nil_poly_real )
= $false )
| ( ( SV85 = nil_poly_real )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1065]) ).
thf(1093,plain,
! [SV85: list_poly_real,SV50: list_poly_real] :
( ( ( ~ ( ( SV50 != nil_poly_real )
| ( SV85 != nil_poly_real ) ) )
= $true )
| ( ( SV50 = nil_poly_real )
= $false )
| ( ( SV85 = nil_poly_real )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1066]) ).
thf(1094,plain,
! [SV86: list_poly_real,SV98: list_poly_real,SV52: list_poly_real > list_poly_real > $o] :
( ( ( ! [SY489: list_poly_real,SY490: poly_real,SY491: list_poly_real] :
( ~ ( SV52 @ SY489 @ SY491 )
| ( SV52 @ ( cons_poly_real @ ( sK60_SY268 @ SV98 @ SV86 @ SV52 ) @ SY489 ) @ ( cons_poly_real @ SY490 @ SY491 ) ) ) )
= $false )
| ( ( SV52 @ SV86 @ SV98 )
= $true )
| ( ( SV52 @ nil_poly_real @ ( cons_poly_real @ ( sK32_SY266 @ SV98 @ SV86 @ SV52 ) @ ( sK39_SY460 @ SV86 @ SV98 @ SV52 ) ) )
= $false )
| ( ( SV52 @ ( sK9_SY265 @ SV98 @ SV86 @ SV52 ) @ nil_poly_real )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1067]) ).
thf(1095,plain,
! [SV106: list_poly_real,SV104: poly_real,SV87: list_poly_real,SV53: list_poly_real > $o] :
( ( ( ~ ( SV53 @ nil_poly_real ) )
= $true )
| ( ( SV53 @ SV87 )
= $true )
| ( ( SV53 @ ( sK10_SY440 @ SV87 @ SV53 ) )
= $true )
| ( ( ( sK10_SY440 @ SV87 @ SV53 )
= ( cons_poly_real @ SV104 @ SV106 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1068]) ).
thf(1096,plain,
! [SV89: poly_real > poly_real > $o,SV99: list_poly_real,SV55: ( poly_real > poly_real > $o ) > list_poly_real > $o] :
( ( ( ! [SY492: poly_real,SY493: poly_real,SY494: list_poly_real] :
( ~ ( SV55 @ ( sK61_SY283 @ SV99 @ SV89 @ SV55 ) @ ( cons_poly_real @ SY493 @ SY494 ) )
| ( SV55 @ ( sK61_SY283 @ SV99 @ SV89 @ SV55 ) @ ( cons_poly_real @ SY492 @ ( cons_poly_real @ SY493 @ SY494 ) ) ) ) )
= $false )
| ( ( SV55 @ SV89 @ SV99 )
= $true )
| ( ( SV55 @ ( sK33_SY281 @ SV99 @ SV89 @ SV55 ) @ ( cons_poly_real @ ( sK40_SY462 @ SV89 @ SV99 @ SV55 ) @ nil_poly_real ) )
= $false )
| ( ( SV55 @ ( sK11_SY280 @ SV99 @ SV89 @ SV55 ) @ nil_poly_real )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1069]) ).
thf(1097,plain,
! [SV90: list_poly_real,SV100: list_poly_real,SV57: list_poly_real > list_poly_real > $o] :
( ( ( SV57 @ ( sK48_SY472 @ SV100 @ SV90 @ SV57 ) @ ( sK41_SY463 @ SV90 @ SV100 @ SV57 ) )
= $true )
| ( ( SV57 @ SV90 @ SV100 )
= $true )
| ( ( SV57 @ nil_poly_real @ ( sK12_SY289 @ SV100 @ SV90 @ SV57 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1070]) ).
thf(1098,plain,
! [SV92: poly_real > poly_real,SV101: list_poly_real,SV102: list_poly_real,SV59: ( poly_real > poly_real ) > list_poly_real > list_poly_real > $o] :
( ( ( ! [SY495: list_poly_real] :
( ~ ( SV59 @ ( sK49_SY301 @ SV102 @ SV101 @ SV92 @ SV59 ) @ ( sK62_SY485 @ SV92 @ SV101 @ SV102 @ SV59 ) @ ( cons_poly_real @ ( sK49_SY301 @ SV102 @ SV101 @ SV92 @ SV59 @ ( sK56_SY478 @ SV92 @ SV101 @ SV102 @ SV59 ) ) @ SY495 ) )
| ( SV59 @ ( sK49_SY301 @ SV102 @ SV101 @ SV92 @ SV59 ) @ ( cons_poly_real @ ( sK56_SY478 @ SV92 @ SV101 @ SV102 @ SV59 ) @ ( sK62_SY485 @ SV92 @ SV101 @ SV102 @ SV59 ) ) @ SY495 ) ) )
= $false )
| ( ( SV59 @ SV92 @ SV101 @ SV102 )
= $true )
| ( ( SV59 @ ( sK21_SY299 @ SV102 @ SV101 @ SV92 @ SV59 ) @ nil_poly_real @ ( sK27_SY455 @ SV92 @ SV101 @ SV102 @ SV59 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1072]) ).
thf(1099,plain,
! [SV33: list_poly_real] :
( ( ( SV33
!= ( cons_poly_real @ ( sK42_SY194 @ SV33 ) @ ( sK63_SY473 @ SV33 ) ) )
= $false )
| ( ( SV33 = nil_poly_real )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1073]) ).
thf(1100,plain,
! [SV105: list_poly_real,SV103: poly_real,SV33: list_poly_real] :
( ( ( SV33 != nil_poly_real )
= $true )
| ( ( SV33
= ( cons_poly_real @ SV103 @ SV105 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1074]) ).
thf(1101,plain,
! [SV105: list_poly_real,SV103: poly_real,SV33: list_poly_real] :
( ( ( ~ ! [SY194: poly_real] :
~ ~ ! [SY195: list_poly_real] :
( SV33
!= ( cons_poly_real @ SY194 @ SY195 ) ) )
= $true )
| ( ( SV33
= ( cons_poly_real @ SV103 @ SV105 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1075]) ).
thf(1102,plain,
! [SV35: list_poly_real > $o,SV73: list_poly_real] :
( ( ( ( ( sK35_SY199 @ SV73 @ SV35 )
!= ( sK43_SY465 @ SV35 @ SV73 ) )
| ( SV35 @ ( cons_poly_real @ ( sK35_SY199 @ SV73 @ SV35 ) @ ( sK50_SY474 @ SV35 @ SV73 ) ) ) )
= $true )
| ( ( SV35 @ SV73 )
= $true )
| ( ( SV35 @ ( cons_poly_real @ ( sK13_SY198 @ SV73 @ SV35 ) @ nil_poly_real ) )
= $false )
| ( ( SV35 @ nil_poly_real )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1076]) ).
thf(1103,plain,
! [SV35: list_poly_real > $o,SV73: list_poly_real] :
( ( ( ~ ( ~ ( ( ( sK35_SY199 @ SV73 @ SV35 )
!= ( sK43_SY465 @ SV35 @ SV73 ) ) )
| ( SV35 @ ( cons_poly_real @ ( sK43_SY465 @ SV35 @ SV73 ) @ ( sK50_SY474 @ SV35 @ SV73 ) ) ) ) )
= $false )
| ( ( SV35 @ SV73 )
= $true )
| ( ( SV35 @ ( cons_poly_real @ ( sK13_SY198 @ SV73 @ SV35 ) @ nil_poly_real ) )
= $false )
| ( ( SV35 @ nil_poly_real )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1077]) ).
thf(1104,plain,
! [SV73: list_poly_real,SV35: list_poly_real > $o] :
( ( ( SV35 @ ( cons_poly_real @ ( sK35_SY199 @ SV73 @ SV35 ) @ ( cons_poly_real @ ( sK43_SY465 @ SV35 @ SV73 ) @ ( sK50_SY474 @ SV35 @ SV73 ) ) ) )
= $false )
| ( ( SV35 @ SV73 )
= $true )
| ( ( SV35 @ ( cons_poly_real @ ( sK13_SY198 @ SV73 @ SV35 ) @ nil_poly_real ) )
= $false )
| ( ( SV35 @ nil_poly_real )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1077]) ).
thf(1105,plain,
! [SV93: list_poly_real,SV75: list_poly_real,SV38: list_poly_real > list_poly_real > $o] :
( ( ( ! [SY496: list_poly_real] :
( ~ ( SV38 @ ( sK57_SY481 @ SV75 @ SV93 @ SV38 ) @ ( cons_poly_real @ ( sK64_SY487 @ SV93 @ SV75 @ SV38 ) @ SY496 ) )
| ~ ( SV38 @ ( cons_poly_real @ ( sK51_SY209 @ SV93 @ SV75 @ SV38 ) @ ( sK57_SY481 @ SV75 @ SV93 @ SV38 ) ) @ SY496 )
| ( SV38 @ ( cons_poly_real @ ( sK51_SY209 @ SV93 @ SV75 @ SV38 ) @ ( sK57_SY481 @ SV75 @ SV93 @ SV38 ) ) @ ( cons_poly_real @ ( sK64_SY487 @ SV93 @ SV75 @ SV38 ) @ SY496 ) ) ) )
= $false )
| ( ( SV38 @ SV75 @ SV93 )
= $true )
| ( ( SV38 @ ( sK28_SY208 @ SV93 @ SV75 @ SV38 ) @ nil_poly_real )
= $false )
| ( ( SV38 @ nil_poly_real @ ( sK5_SY207 @ SV93 @ SV75 @ SV38 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1078]) ).
thf(1106,plain,
! [SV94: list_poly_real,SV76: list_poly_real,SV39: list_poly_real > list_poly_real > $o] :
( ( ( ~ ! [SY219: poly_real,SY220: list_poly_real,SY221: poly_real,SY222: list_poly_real] :
( ~ ( SV39 @ SY220 @ SY222 )
| ( SV39 @ ( cons_poly_real @ SY219 @ SY220 ) @ ( cons_poly_real @ SY221 @ SY222 ) ) ) )
= $true )
| ( ( SV39 @ SV76 @ SV94 )
= $true )
| ( ( SV39 @ nil_poly_real @ ( cons_poly_real @ ( sK52_SY217 @ SV94 @ SV76 @ SV39 ) @ ( sK58_SY484 @ SV76 @ SV94 @ SV39 ) ) )
= $false )
| ( ( SV39 @ ( cons_poly_real @ ( sK22_SY215 @ SV94 @ SV76 @ SV39 ) @ ( sK29_SY456 @ SV76 @ SV94 @ SV39 ) ) @ nil_poly_real )
= $false )
| ( ( SV39 @ nil_poly_real @ nil_poly_real )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1079]) ).
thf(1107,plain,
! [SV78: list_poly_real,SV96: list_poly_real,SV41: list_poly_real > list_poly_real > $o] :
( ( ( SV41 @ ( sK65_SY235 @ SV96 @ SV78 @ SV41 ) @ nil_poly_real )
= $false )
| ( ( ~ ! [SY236: poly_real,SY237: list_poly_real] : ( SV41 @ nil_poly_real @ ( cons_poly_real @ SY236 @ SY237 ) )
| ( SV41 @ SV78 @ SV96 ) )
= $true )
| ( ( SV41 @ ( sK15_SY444 @ SV78 @ SV96 @ SV41 ) @ ( sK31_SY457 @ SV96 @ SV78 @ SV41 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1081]) ).
thf(1108,plain,
! [SV96: list_poly_real,SV78: list_poly_real,SV41: list_poly_real > list_poly_real > $o] :
( ( ( ~ ! [SY236: poly_real,SY237: list_poly_real] : ( SV41 @ nil_poly_real @ ( cons_poly_real @ SY236 @ SY237 ) ) )
= $true )
| ( ( SV41 @ SV78 @ SV96 )
= $true )
| ( ( SV41 @ ( sK59_SY235 @ SV96 @ SV78 @ SV41 ) @ nil_poly_real )
= $false )
| ( ( SV41 @ ( cons_poly_real @ ( sK7_SY231 @ SV96 @ SV78 @ SV41 ) @ ( sK15_SY444 @ SV78 @ SV96 @ SV41 ) ) @ ( cons_poly_real @ ( sK23_SY451 @ SV96 @ SV78 @ SV41 ) @ ( sK31_SY457 @ SV96 @ SV78 @ SV41 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1082]) ).
thf(1109,plain,
! [SV79: list_poly_real > $o,SV42: list_poly_real] :
( ( ( ( sK53_SY475 @ SV42 @ SV79 )
!= nil_poly_real )
= $true )
| ( ( SV79 @ SV42 )
= $true )
| ( ( SV79 @ ( cons_poly_real @ ( sK24_SY338 @ SV42 @ SV79 ) @ nil_poly_real ) )
= $false )
| ( ( SV42 = nil_poly_real )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1083]) ).
thf(1110,plain,
! [SV42: list_poly_real,SV79: list_poly_real > $o] :
( ( ( ~ ( SV79 @ ( sK53_SY475 @ SV42 @ SV79 ) ) )
= $false )
| ( ( SV79 @ SV42 )
= $true )
| ( ( SV79 @ ( cons_poly_real @ ( sK24_SY338 @ SV42 @ SV79 ) @ nil_poly_real ) )
= $false )
| ( ( SV42 = nil_poly_real )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1084]) ).
thf(1111,plain,
! [SV42: list_poly_real,SV79: list_poly_real > $o] :
( ( ( SV79 @ ( cons_poly_real @ ( sK45_SY339 @ SV42 @ SV79 ) @ ( sK53_SY475 @ SV42 @ SV79 ) ) )
= $false )
| ( ( SV79 @ SV42 )
= $true )
| ( ( SV79 @ ( cons_poly_real @ ( sK24_SY338 @ SV42 @ SV79 ) @ nil_poly_real ) )
= $false )
| ( ( SV42 = nil_poly_real )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1084]) ).
thf(1112,plain,
! [SV81: list_poly_real,SV44: list_poly_real] :
( ( ( ( SV44 != nil_poly_real )
| ( SV81 != nil_poly_real ) )
= $false )
| ( ( SV44 = nil_poly_real )
= $false )
| ( ( SV81 = nil_poly_real )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1086]) ).
thf(1113,plain,
! [SV82: list_poly_real,SV45: list_poly_real > $o] :
( ( ( SV45 @ ( sK54_SY476 @ SV82 @ SV45 ) )
= $true )
| ( ( SV45 @ SV82 )
= $true )
| ( ( SV45 @ ( cons_poly_real @ ( sK16_SY246 @ SV82 @ SV45 ) @ nil_poly_real ) )
= $false )
| ( ( SV45 @ nil_poly_real )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1087]) ).
thf(1114,plain,
! [SV82: list_poly_real,SV45: list_poly_real > $o] :
( ( ( ~ ( SV45 @ ( cons_poly_real @ ( sK46_SY468 @ SV82 @ SV45 ) @ ( sK54_SY476 @ SV82 @ SV45 ) ) ) )
= $false )
| ( ( SV45 @ SV82 )
= $true )
| ( ( SV45 @ ( cons_poly_real @ ( sK16_SY246 @ SV82 @ SV45 ) @ nil_poly_real ) )
= $false )
| ( ( SV45 @ nil_poly_real )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1088]) ).
thf(1115,plain,
! [SV82: list_poly_real,SV45: list_poly_real > $o] :
( ( ( SV45 @ ( cons_poly_real @ ( sK37_SY247 @ SV82 @ SV45 ) @ ( cons_poly_real @ ( sK46_SY468 @ SV82 @ SV45 ) @ ( sK54_SY476 @ SV82 @ SV45 ) ) ) )
= $false )
| ( ( SV45 @ SV82 )
= $true )
| ( ( SV45 @ ( cons_poly_real @ ( sK16_SY246 @ SV82 @ SV45 ) @ nil_poly_real ) )
= $false )
| ( ( SV45 @ nil_poly_real )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1088]) ).
thf(1116,plain,
! [SV83: list_poly_real,SV46: list_poly_real] :
( ( ( ( SV46 != nil_poly_real )
| ( SV83 != nil_poly_real ) )
= $false )
| ( ( SV46 = nil_poly_real )
= $false )
| ( ( SV83 = nil_poly_real )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1090]) ).
thf(1117,plain,
! [SV85: list_poly_real,SV50: list_poly_real] :
( ( ( ( SV50 != nil_poly_real )
| ( SV85 != nil_poly_real ) )
= $false )
| ( ( SV50 = nil_poly_real )
= $false )
| ( ( SV85 = nil_poly_real )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1093]) ).
thf(1118,plain,
! [SV98: list_poly_real,SV86: list_poly_real,SV52: list_poly_real > list_poly_real > $o] :
( ( ( ! [SY497: poly_real,SY498: list_poly_real] :
( ~ ( SV52 @ ( sK66_SY489 @ SV86 @ SV98 @ SV52 ) @ SY498 )
| ( SV52 @ ( cons_poly_real @ ( sK60_SY268 @ SV98 @ SV86 @ SV52 ) @ ( sK66_SY489 @ SV86 @ SV98 @ SV52 ) ) @ ( cons_poly_real @ SY497 @ SY498 ) ) ) )
= $false )
| ( ( SV52 @ SV86 @ SV98 )
= $true )
| ( ( SV52 @ nil_poly_real @ ( cons_poly_real @ ( sK32_SY266 @ SV98 @ SV86 @ SV52 ) @ ( sK39_SY460 @ SV86 @ SV98 @ SV52 ) ) )
= $false )
| ( ( SV52 @ ( sK9_SY265 @ SV98 @ SV86 @ SV52 ) @ nil_poly_real )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1094]) ).
thf(1119,plain,
! [SV106: list_poly_real,SV104: poly_real,SV87: list_poly_real,SV53: list_poly_real > $o] :
( ( ( SV53 @ nil_poly_real )
= $false )
| ( ( SV53 @ SV87 )
= $true )
| ( ( SV53 @ ( sK10_SY440 @ SV87 @ SV53 ) )
= $true )
| ( ( ( sK10_SY440 @ SV87 @ SV53 )
= ( cons_poly_real @ SV104 @ SV106 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1095]) ).
thf(1120,plain,
! [SV89: poly_real > poly_real > $o,SV99: list_poly_real,SV55: ( poly_real > poly_real > $o ) > list_poly_real > $o] :
( ( ( ! [SY499: poly_real,SY500: list_poly_real] :
( ~ ( SV55 @ ( sK61_SY283 @ SV99 @ SV89 @ SV55 ) @ ( cons_poly_real @ SY499 @ SY500 ) )
| ( SV55 @ ( sK61_SY283 @ SV99 @ SV89 @ SV55 ) @ ( cons_poly_real @ ( sK67_SY492 @ SV89 @ SV99 @ SV55 ) @ ( cons_poly_real @ SY499 @ SY500 ) ) ) ) )
= $false )
| ( ( SV55 @ SV89 @ SV99 )
= $true )
| ( ( SV55 @ ( sK33_SY281 @ SV99 @ SV89 @ SV55 ) @ ( cons_poly_real @ ( sK40_SY462 @ SV89 @ SV99 @ SV55 ) @ nil_poly_real ) )
= $false )
| ( ( SV55 @ ( sK11_SY280 @ SV99 @ SV89 @ SV55 ) @ nil_poly_real )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1096]) ).
thf(1121,plain,
! [SV92: poly_real > poly_real,SV101: list_poly_real,SV102: list_poly_real,SV59: ( poly_real > poly_real ) > list_poly_real > list_poly_real > $o] :
( ( ( ~ ( SV59 @ ( sK49_SY301 @ SV102 @ SV101 @ SV92 @ SV59 ) @ ( sK62_SY485 @ SV92 @ SV101 @ SV102 @ SV59 ) @ ( cons_poly_real @ ( sK49_SY301 @ SV102 @ SV101 @ SV92 @ SV59 @ ( sK56_SY478 @ SV92 @ SV101 @ SV102 @ SV59 ) ) @ ( sK68_SY495 @ SV92 @ SV101 @ SV102 @ SV59 ) ) )
| ( SV59 @ ( sK49_SY301 @ SV102 @ SV101 @ SV92 @ SV59 ) @ ( cons_poly_real @ ( sK56_SY478 @ SV92 @ SV101 @ SV102 @ SV59 ) @ ( sK62_SY485 @ SV92 @ SV101 @ SV102 @ SV59 ) ) @ ( sK68_SY495 @ SV92 @ SV101 @ SV102 @ SV59 ) ) )
= $false )
| ( ( SV59 @ SV92 @ SV101 @ SV102 )
= $true )
| ( ( SV59 @ ( sK21_SY299 @ SV102 @ SV101 @ SV92 @ SV59 ) @ nil_poly_real @ ( sK27_SY455 @ SV92 @ SV101 @ SV102 @ SV59 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1098]) ).
thf(1122,plain,
! [SV33: list_poly_real] :
( ( ( SV33
= ( cons_poly_real @ ( sK42_SY194 @ SV33 ) @ ( sK63_SY473 @ SV33 ) ) )
= $true )
| ( ( SV33 = nil_poly_real )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1099]) ).
thf(1123,plain,
! [SV105: list_poly_real,SV103: poly_real,SV33: list_poly_real] :
( ( ( SV33 = nil_poly_real )
= $false )
| ( ( SV33
= ( cons_poly_real @ SV103 @ SV105 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1100]) ).
thf(1124,plain,
! [SV105: list_poly_real,SV103: poly_real,SV33: list_poly_real] :
( ( ( ! [SY194: poly_real] :
~ ~ ! [SY195: list_poly_real] :
( SV33
!= ( cons_poly_real @ SY194 @ SY195 ) ) )
= $false )
| ( ( SV33
= ( cons_poly_real @ SV103 @ SV105 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1101]) ).
thf(1125,plain,
! [SV35: list_poly_real > $o,SV73: list_poly_real] :
( ( ( ( sK35_SY199 @ SV73 @ SV35 )
!= ( sK43_SY465 @ SV35 @ SV73 ) )
= $true )
| ( ( SV35 @ ( cons_poly_real @ ( sK35_SY199 @ SV73 @ SV35 ) @ ( sK50_SY474 @ SV35 @ SV73 ) ) )
= $true )
| ( ( SV35 @ SV73 )
= $true )
| ( ( SV35 @ ( cons_poly_real @ ( sK13_SY198 @ SV73 @ SV35 ) @ nil_poly_real ) )
= $false )
| ( ( SV35 @ nil_poly_real )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1102]) ).
thf(1126,plain,
! [SV35: list_poly_real > $o,SV73: list_poly_real] :
( ( ( ~ ( ( ( sK35_SY199 @ SV73 @ SV35 )
!= ( sK43_SY465 @ SV35 @ SV73 ) ) )
| ( SV35 @ ( cons_poly_real @ ( sK43_SY465 @ SV35 @ SV73 ) @ ( sK50_SY474 @ SV35 @ SV73 ) ) ) )
= $true )
| ( ( SV35 @ SV73 )
= $true )
| ( ( SV35 @ ( cons_poly_real @ ( sK13_SY198 @ SV73 @ SV35 ) @ nil_poly_real ) )
= $false )
| ( ( SV35 @ nil_poly_real )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1103]) ).
thf(1127,plain,
! [SV93: list_poly_real,SV75: list_poly_real,SV38: list_poly_real > list_poly_real > $o] :
( ( ( ~ ( SV38 @ ( sK57_SY481 @ SV75 @ SV93 @ SV38 ) @ ( cons_poly_real @ ( sK64_SY487 @ SV93 @ SV75 @ SV38 ) @ ( sK69_SY496 @ SV93 @ SV75 @ SV38 ) ) )
| ~ ( SV38 @ ( cons_poly_real @ ( sK51_SY209 @ SV93 @ SV75 @ SV38 ) @ ( sK57_SY481 @ SV75 @ SV93 @ SV38 ) ) @ ( sK69_SY496 @ SV93 @ SV75 @ SV38 ) )
| ( SV38 @ ( cons_poly_real @ ( sK51_SY209 @ SV93 @ SV75 @ SV38 ) @ ( sK57_SY481 @ SV75 @ SV93 @ SV38 ) ) @ ( cons_poly_real @ ( sK64_SY487 @ SV93 @ SV75 @ SV38 ) @ ( sK69_SY496 @ SV93 @ SV75 @ SV38 ) ) ) )
= $false )
| ( ( SV38 @ SV75 @ SV93 )
= $true )
| ( ( SV38 @ ( sK28_SY208 @ SV93 @ SV75 @ SV38 ) @ nil_poly_real )
= $false )
| ( ( SV38 @ nil_poly_real @ ( sK5_SY207 @ SV93 @ SV75 @ SV38 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1105]) ).
thf(1128,plain,
! [SV94: list_poly_real,SV76: list_poly_real,SV39: list_poly_real > list_poly_real > $o] :
( ( ( ! [SY219: poly_real,SY220: list_poly_real,SY221: poly_real,SY222: list_poly_real] :
( ~ ( SV39 @ SY220 @ SY222 )
| ( SV39 @ ( cons_poly_real @ SY219 @ SY220 ) @ ( cons_poly_real @ SY221 @ SY222 ) ) ) )
= $false )
| ( ( SV39 @ SV76 @ SV94 )
= $true )
| ( ( SV39 @ nil_poly_real @ ( cons_poly_real @ ( sK52_SY217 @ SV94 @ SV76 @ SV39 ) @ ( sK58_SY484 @ SV76 @ SV94 @ SV39 ) ) )
= $false )
| ( ( SV39 @ ( cons_poly_real @ ( sK22_SY215 @ SV94 @ SV76 @ SV39 ) @ ( sK29_SY456 @ SV76 @ SV94 @ SV39 ) ) @ nil_poly_real )
= $false )
| ( ( SV39 @ nil_poly_real @ nil_poly_real )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1106]) ).
thf(1129,plain,
! [SV96: list_poly_real,SV78: list_poly_real,SV41: list_poly_real > list_poly_real > $o] :
( ( ( ~ ! [SY236: poly_real,SY237: list_poly_real] : ( SV41 @ nil_poly_real @ ( cons_poly_real @ SY236 @ SY237 ) ) )
= $true )
| ( ( SV41 @ SV78 @ SV96 )
= $true )
| ( ( SV41 @ ( sK65_SY235 @ SV96 @ SV78 @ SV41 ) @ nil_poly_real )
= $false )
| ( ( SV41 @ ( sK15_SY444 @ SV78 @ SV96 @ SV41 ) @ ( sK31_SY457 @ SV96 @ SV78 @ SV41 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1107]) ).
thf(1130,plain,
! [SV96: list_poly_real,SV78: list_poly_real,SV41: list_poly_real > list_poly_real > $o] :
( ( ( ! [SY236: poly_real,SY237: list_poly_real] : ( SV41 @ nil_poly_real @ ( cons_poly_real @ SY236 @ SY237 ) ) )
= $false )
| ( ( SV41 @ SV78 @ SV96 )
= $true )
| ( ( SV41 @ ( sK59_SY235 @ SV96 @ SV78 @ SV41 ) @ nil_poly_real )
= $false )
| ( ( SV41 @ ( cons_poly_real @ ( sK7_SY231 @ SV96 @ SV78 @ SV41 ) @ ( sK15_SY444 @ SV78 @ SV96 @ SV41 ) ) @ ( cons_poly_real @ ( sK23_SY451 @ SV96 @ SV78 @ SV41 ) @ ( sK31_SY457 @ SV96 @ SV78 @ SV41 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1108]) ).
thf(1131,plain,
! [SV79: list_poly_real > $o,SV42: list_poly_real] :
( ( ( ( sK53_SY475 @ SV42 @ SV79 )
= nil_poly_real )
= $false )
| ( ( SV79 @ SV42 )
= $true )
| ( ( SV79 @ ( cons_poly_real @ ( sK24_SY338 @ SV42 @ SV79 ) @ nil_poly_real ) )
= $false )
| ( ( SV42 = nil_poly_real )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1109]) ).
thf(1132,plain,
! [SV42: list_poly_real,SV79: list_poly_real > $o] :
( ( ( SV79 @ ( sK53_SY475 @ SV42 @ SV79 ) )
= $true )
| ( ( SV79 @ SV42 )
= $true )
| ( ( SV79 @ ( cons_poly_real @ ( sK24_SY338 @ SV42 @ SV79 ) @ nil_poly_real ) )
= $false )
| ( ( SV42 = nil_poly_real )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1110]) ).
thf(1133,plain,
! [SV81: list_poly_real,SV44: list_poly_real] :
( ( ( SV44 != nil_poly_real )
= $false )
| ( ( SV44 = nil_poly_real )
= $false )
| ( ( SV81 = nil_poly_real )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1112]) ).
thf(1134,plain,
! [SV44: list_poly_real,SV81: list_poly_real] :
( ( ( SV81 != nil_poly_real )
= $false )
| ( ( SV44 = nil_poly_real )
= $false )
| ( ( SV81 = nil_poly_real )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1112]) ).
thf(1135,plain,
! [SV82: list_poly_real,SV45: list_poly_real > $o] :
( ( ( SV45 @ ( cons_poly_real @ ( sK46_SY468 @ SV82 @ SV45 ) @ ( sK54_SY476 @ SV82 @ SV45 ) ) )
= $true )
| ( ( SV45 @ SV82 )
= $true )
| ( ( SV45 @ ( cons_poly_real @ ( sK16_SY246 @ SV82 @ SV45 ) @ nil_poly_real ) )
= $false )
| ( ( SV45 @ nil_poly_real )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1114]) ).
thf(1136,plain,
! [SV83: list_poly_real,SV46: list_poly_real] :
( ( ( SV46 != nil_poly_real )
= $false )
| ( ( SV46 = nil_poly_real )
= $false )
| ( ( SV83 = nil_poly_real )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1116]) ).
thf(1137,plain,
! [SV46: list_poly_real,SV83: list_poly_real] :
( ( ( SV83 != nil_poly_real )
= $false )
| ( ( SV46 = nil_poly_real )
= $false )
| ( ( SV83 = nil_poly_real )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1116]) ).
thf(1138,plain,
! [SV85: list_poly_real,SV50: list_poly_real] :
( ( ( SV50 != nil_poly_real )
= $false )
| ( ( SV50 = nil_poly_real )
= $false )
| ( ( SV85 = nil_poly_real )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1117]) ).
thf(1139,plain,
! [SV50: list_poly_real,SV85: list_poly_real] :
( ( ( SV85 != nil_poly_real )
= $false )
| ( ( SV50 = nil_poly_real )
= $false )
| ( ( SV85 = nil_poly_real )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1117]) ).
thf(1140,plain,
! [SV98: list_poly_real,SV86: list_poly_real,SV52: list_poly_real > list_poly_real > $o] :
( ( ( ! [SY501: list_poly_real] :
( ~ ( SV52 @ ( sK66_SY489 @ SV86 @ SV98 @ SV52 ) @ SY501 )
| ( SV52 @ ( cons_poly_real @ ( sK60_SY268 @ SV98 @ SV86 @ SV52 ) @ ( sK66_SY489 @ SV86 @ SV98 @ SV52 ) ) @ ( cons_poly_real @ ( sK70_SY497 @ SV98 @ SV86 @ SV52 ) @ SY501 ) ) ) )
= $false )
| ( ( SV52 @ SV86 @ SV98 )
= $true )
| ( ( SV52 @ nil_poly_real @ ( cons_poly_real @ ( sK32_SY266 @ SV98 @ SV86 @ SV52 ) @ ( sK39_SY460 @ SV86 @ SV98 @ SV52 ) ) )
= $false )
| ( ( SV52 @ ( sK9_SY265 @ SV98 @ SV86 @ SV52 ) @ nil_poly_real )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1118]) ).
thf(1141,plain,
! [SV89: poly_real > poly_real > $o,SV99: list_poly_real,SV55: ( poly_real > poly_real > $o ) > list_poly_real > $o] :
( ( ( ! [SY502: list_poly_real] :
( ~ ( SV55 @ ( sK61_SY283 @ SV99 @ SV89 @ SV55 ) @ ( cons_poly_real @ ( sK71_SY499 @ SV89 @ SV99 @ SV55 ) @ SY502 ) )
| ( SV55 @ ( sK61_SY283 @ SV99 @ SV89 @ SV55 ) @ ( cons_poly_real @ ( sK67_SY492 @ SV89 @ SV99 @ SV55 ) @ ( cons_poly_real @ ( sK71_SY499 @ SV89 @ SV99 @ SV55 ) @ SY502 ) ) ) ) )
= $false )
| ( ( SV55 @ SV89 @ SV99 )
= $true )
| ( ( SV55 @ ( sK33_SY281 @ SV99 @ SV89 @ SV55 ) @ ( cons_poly_real @ ( sK40_SY462 @ SV89 @ SV99 @ SV55 ) @ nil_poly_real ) )
= $false )
| ( ( SV55 @ ( sK11_SY280 @ SV99 @ SV89 @ SV55 ) @ nil_poly_real )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1120]) ).
thf(1142,plain,
! [SV92: poly_real > poly_real,SV101: list_poly_real,SV102: list_poly_real,SV59: ( poly_real > poly_real ) > list_poly_real > list_poly_real > $o] :
( ( ( ~ ( SV59 @ ( sK49_SY301 @ SV102 @ SV101 @ SV92 @ SV59 ) @ ( sK62_SY485 @ SV92 @ SV101 @ SV102 @ SV59 ) @ ( cons_poly_real @ ( sK49_SY301 @ SV102 @ SV101 @ SV92 @ SV59 @ ( sK56_SY478 @ SV92 @ SV101 @ SV102 @ SV59 ) ) @ ( sK68_SY495 @ SV92 @ SV101 @ SV102 @ SV59 ) ) ) )
= $false )
| ( ( SV59 @ SV92 @ SV101 @ SV102 )
= $true )
| ( ( SV59 @ ( sK21_SY299 @ SV102 @ SV101 @ SV92 @ SV59 ) @ nil_poly_real @ ( sK27_SY455 @ SV92 @ SV101 @ SV102 @ SV59 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1121]) ).
thf(1143,plain,
! [SV92: poly_real > poly_real,SV101: list_poly_real,SV102: list_poly_real,SV59: ( poly_real > poly_real ) > list_poly_real > list_poly_real > $o] :
( ( ( SV59 @ ( sK49_SY301 @ SV102 @ SV101 @ SV92 @ SV59 ) @ ( cons_poly_real @ ( sK56_SY478 @ SV92 @ SV101 @ SV102 @ SV59 ) @ ( sK62_SY485 @ SV92 @ SV101 @ SV102 @ SV59 ) ) @ ( sK68_SY495 @ SV92 @ SV101 @ SV102 @ SV59 ) )
= $false )
| ( ( SV59 @ SV92 @ SV101 @ SV102 )
= $true )
| ( ( SV59 @ ( sK21_SY299 @ SV102 @ SV101 @ SV92 @ SV59 ) @ nil_poly_real @ ( sK27_SY455 @ SV92 @ SV101 @ SV102 @ SV59 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1121]) ).
thf(1144,plain,
! [SV103: poly_real,SV105: list_poly_real,SV33: list_poly_real] :
( ( ( ~ ~ ! [SY503: list_poly_real] :
( SV33
!= ( cons_poly_real @ ( sK72_SY194 @ SV105 @ SV103 @ SV33 ) @ SY503 ) ) )
= $false )
| ( ( SV33
= ( cons_poly_real @ SV103 @ SV105 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1124]) ).
thf(1145,plain,
! [SV35: list_poly_real > $o,SV73: list_poly_real] :
( ( ( ( sK35_SY199 @ SV73 @ SV35 )
= ( sK43_SY465 @ SV35 @ SV73 ) )
= $false )
| ( ( SV35 @ ( cons_poly_real @ ( sK35_SY199 @ SV73 @ SV35 ) @ ( sK50_SY474 @ SV35 @ SV73 ) ) )
= $true )
| ( ( SV35 @ SV73 )
= $true )
| ( ( SV35 @ ( cons_poly_real @ ( sK13_SY198 @ SV73 @ SV35 ) @ nil_poly_real ) )
= $false )
| ( ( SV35 @ nil_poly_real )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1125]) ).
thf(1146,plain,
! [SV35: list_poly_real > $o,SV73: list_poly_real] :
( ( ( ~ ( ( ( sK35_SY199 @ SV73 @ SV35 )
!= ( sK43_SY465 @ SV35 @ SV73 ) ) ) )
= $true )
| ( ( SV35 @ ( cons_poly_real @ ( sK43_SY465 @ SV35 @ SV73 ) @ ( sK50_SY474 @ SV35 @ SV73 ) ) )
= $true )
| ( ( SV35 @ SV73 )
= $true )
| ( ( SV35 @ ( cons_poly_real @ ( sK13_SY198 @ SV73 @ SV35 ) @ nil_poly_real ) )
= $false )
| ( ( SV35 @ nil_poly_real )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1126]) ).
thf(1147,plain,
! [SV93: list_poly_real,SV75: list_poly_real,SV38: list_poly_real > list_poly_real > $o] :
( ( ( ~ ( SV38 @ ( sK57_SY481 @ SV75 @ SV93 @ SV38 ) @ ( cons_poly_real @ ( sK64_SY487 @ SV93 @ SV75 @ SV38 ) @ ( sK69_SY496 @ SV93 @ SV75 @ SV38 ) ) ) )
= $false )
| ( ( SV38 @ SV75 @ SV93 )
= $true )
| ( ( SV38 @ ( sK28_SY208 @ SV93 @ SV75 @ SV38 ) @ nil_poly_real )
= $false )
| ( ( SV38 @ nil_poly_real @ ( sK5_SY207 @ SV93 @ SV75 @ SV38 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1127]) ).
thf(1148,plain,
! [SV75: list_poly_real,SV93: list_poly_real,SV38: list_poly_real > list_poly_real > $o] :
( ( ( ~ ( SV38 @ ( cons_poly_real @ ( sK51_SY209 @ SV93 @ SV75 @ SV38 ) @ ( sK57_SY481 @ SV75 @ SV93 @ SV38 ) ) @ ( sK69_SY496 @ SV93 @ SV75 @ SV38 ) )
| ( SV38 @ ( cons_poly_real @ ( sK51_SY209 @ SV93 @ SV75 @ SV38 ) @ ( sK57_SY481 @ SV75 @ SV93 @ SV38 ) ) @ ( cons_poly_real @ ( sK64_SY487 @ SV93 @ SV75 @ SV38 ) @ ( sK69_SY496 @ SV93 @ SV75 @ SV38 ) ) ) )
= $false )
| ( ( SV38 @ SV75 @ SV93 )
= $true )
| ( ( SV38 @ ( sK28_SY208 @ SV93 @ SV75 @ SV38 ) @ nil_poly_real )
= $false )
| ( ( SV38 @ nil_poly_real @ ( sK5_SY207 @ SV93 @ SV75 @ SV38 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1127]) ).
thf(1149,plain,
! [SV76: list_poly_real,SV94: list_poly_real,SV39: list_poly_real > list_poly_real > $o] :
( ( ( ! [SY504: list_poly_real,SY505: poly_real,SY506: list_poly_real] :
( ~ ( SV39 @ SY504 @ SY506 )
| ( SV39 @ ( cons_poly_real @ ( sK73_SY219 @ SV94 @ SV76 @ SV39 ) @ SY504 ) @ ( cons_poly_real @ SY505 @ SY506 ) ) ) )
= $false )
| ( ( SV39 @ SV76 @ SV94 )
= $true )
| ( ( SV39 @ nil_poly_real @ ( cons_poly_real @ ( sK52_SY217 @ SV94 @ SV76 @ SV39 ) @ ( sK58_SY484 @ SV76 @ SV94 @ SV39 ) ) )
= $false )
| ( ( SV39 @ ( cons_poly_real @ ( sK22_SY215 @ SV94 @ SV76 @ SV39 ) @ ( sK29_SY456 @ SV76 @ SV94 @ SV39 ) ) @ nil_poly_real )
= $false )
| ( ( SV39 @ nil_poly_real @ nil_poly_real )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1128]) ).
thf(1150,plain,
! [SV96: list_poly_real,SV78: list_poly_real,SV41: list_poly_real > list_poly_real > $o] :
( ( ( ! [SY236: poly_real,SY237: list_poly_real] : ( SV41 @ nil_poly_real @ ( cons_poly_real @ SY236 @ SY237 ) ) )
= $false )
| ( ( SV41 @ SV78 @ SV96 )
= $true )
| ( ( SV41 @ ( sK65_SY235 @ SV96 @ SV78 @ SV41 ) @ nil_poly_real )
= $false )
| ( ( SV41 @ ( sK15_SY444 @ SV78 @ SV96 @ SV41 ) @ ( sK31_SY457 @ SV96 @ SV78 @ SV41 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1129]) ).
thf(1151,plain,
! [SV78: list_poly_real,SV96: list_poly_real,SV41: list_poly_real > list_poly_real > $o] :
( ( ( ! [SY507: list_poly_real] : ( SV41 @ nil_poly_real @ ( cons_poly_real @ ( sK74_SY236 @ SV96 @ SV78 @ SV41 ) @ SY507 ) ) )
= $false )
| ( ( SV41 @ SV78 @ SV96 )
= $true )
| ( ( SV41 @ ( sK59_SY235 @ SV96 @ SV78 @ SV41 ) @ nil_poly_real )
= $false )
| ( ( SV41 @ ( cons_poly_real @ ( sK7_SY231 @ SV96 @ SV78 @ SV41 ) @ ( sK15_SY444 @ SV78 @ SV96 @ SV41 ) ) @ ( cons_poly_real @ ( sK23_SY451 @ SV96 @ SV78 @ SV41 ) @ ( sK31_SY457 @ SV96 @ SV78 @ SV41 ) ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1130]) ).
thf(1152,plain,
! [SV81: list_poly_real,SV44: list_poly_real] :
( ( ( SV44 = nil_poly_real )
= $true )
| ( ( SV44 = nil_poly_real )
= $false )
| ( ( SV81 = nil_poly_real )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1133]) ).
thf(1153,plain,
! [SV44: list_poly_real,SV81: list_poly_real] :
( ( ( SV81 = nil_poly_real )
= $true )
| ( ( SV44 = nil_poly_real )
= $false )
| ( ( SV81 = nil_poly_real )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1134]) ).
thf(1154,plain,
! [SV83: list_poly_real,SV46: list_poly_real] :
( ( ( SV46 = nil_poly_real )
= $true )
| ( ( SV46 = nil_poly_real )
= $false )
| ( ( SV83 = nil_poly_real )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1136]) ).
thf(1155,plain,
! [SV46: list_poly_real,SV83: list_poly_real] :
( ( ( SV83 = nil_poly_real )
= $true )
| ( ( SV46 = nil_poly_real )
= $false )
| ( ( SV83 = nil_poly_real )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1137]) ).
thf(1156,plain,
! [SV85: list_poly_real,SV50: list_poly_real] :
( ( ( SV50 = nil_poly_real )
= $true )
| ( ( SV50 = nil_poly_real )
= $false )
| ( ( SV85 = nil_poly_real )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1138]) ).
thf(1157,plain,
! [SV50: list_poly_real,SV85: list_poly_real] :
( ( ( SV85 = nil_poly_real )
= $true )
| ( ( SV50 = nil_poly_real )
= $false )
| ( ( SV85 = nil_poly_real )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1139]) ).
thf(1158,plain,
! [SV98: list_poly_real,SV86: list_poly_real,SV52: list_poly_real > list_poly_real > $o] :
( ( ( ~ ( SV52 @ ( sK66_SY489 @ SV86 @ SV98 @ SV52 ) @ ( sK75_SY501 @ SV98 @ SV86 @ SV52 ) )
| ( SV52 @ ( cons_poly_real @ ( sK60_SY268 @ SV98 @ SV86 @ SV52 ) @ ( sK66_SY489 @ SV86 @ SV98 @ SV52 ) ) @ ( cons_poly_real @ ( sK70_SY497 @ SV98 @ SV86 @ SV52 ) @ ( sK75_SY501 @ SV98 @ SV86 @ SV52 ) ) ) )
= $false )
| ( ( SV52 @ SV86 @ SV98 )
= $true )
| ( ( SV52 @ nil_poly_real @ ( cons_poly_real @ ( sK32_SY266 @ SV98 @ SV86 @ SV52 ) @ ( sK39_SY460 @ SV86 @ SV98 @ SV52 ) ) )
= $false )
| ( ( SV52 @ ( sK9_SY265 @ SV98 @ SV86 @ SV52 ) @ nil_poly_real )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1140]) ).
thf(1159,plain,
! [SV89: poly_real > poly_real > $o,SV99: list_poly_real,SV55: ( poly_real > poly_real > $o ) > list_poly_real > $o] :
( ( ( ~ ( SV55 @ ( sK61_SY283 @ SV99 @ SV89 @ SV55 ) @ ( cons_poly_real @ ( sK71_SY499 @ SV89 @ SV99 @ SV55 ) @ ( sK76_SY502 @ SV89 @ SV99 @ SV55 ) ) )
| ( SV55 @ ( sK61_SY283 @ SV99 @ SV89 @ SV55 ) @ ( cons_poly_real @ ( sK67_SY492 @ SV89 @ SV99 @ SV55 ) @ ( cons_poly_real @ ( sK71_SY499 @ SV89 @ SV99 @ SV55 ) @ ( sK76_SY502 @ SV89 @ SV99 @ SV55 ) ) ) ) )
= $false )
| ( ( SV55 @ SV89 @ SV99 )
= $true )
| ( ( SV55 @ ( sK33_SY281 @ SV99 @ SV89 @ SV55 ) @ ( cons_poly_real @ ( sK40_SY462 @ SV89 @ SV99 @ SV55 ) @ nil_poly_real ) )
= $false )
| ( ( SV55 @ ( sK11_SY280 @ SV99 @ SV89 @ SV55 ) @ nil_poly_real )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1141]) ).
thf(1160,plain,
! [SV92: poly_real > poly_real,SV101: list_poly_real,SV102: list_poly_real,SV59: ( poly_real > poly_real ) > list_poly_real > list_poly_real > $o] :
( ( ( SV59 @ ( sK49_SY301 @ SV102 @ SV101 @ SV92 @ SV59 ) @ ( sK62_SY485 @ SV92 @ SV101 @ SV102 @ SV59 ) @ ( cons_poly_real @ ( sK49_SY301 @ SV102 @ SV101 @ SV92 @ SV59 @ ( sK56_SY478 @ SV92 @ SV101 @ SV102 @ SV59 ) ) @ ( sK68_SY495 @ SV92 @ SV101 @ SV102 @ SV59 ) ) )
= $true )
| ( ( SV59 @ SV92 @ SV101 @ SV102 )
= $true )
| ( ( SV59 @ ( sK21_SY299 @ SV102 @ SV101 @ SV92 @ SV59 ) @ nil_poly_real @ ( sK27_SY455 @ SV92 @ SV101 @ SV102 @ SV59 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1142]) ).
thf(1161,plain,
! [SV103: poly_real,SV105: list_poly_real,SV33: list_poly_real] :
( ( ( ~ ! [SY503: list_poly_real] :
( SV33
!= ( cons_poly_real @ ( sK72_SY194 @ SV105 @ SV103 @ SV33 ) @ SY503 ) ) )
= $true )
| ( ( SV33
= ( cons_poly_real @ SV103 @ SV105 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1144]) ).
thf(1162,plain,
! [SV35: list_poly_real > $o,SV73: list_poly_real] :
( ( ( ( sK35_SY199 @ SV73 @ SV35 )
!= ( sK43_SY465 @ SV35 @ SV73 ) )
= $false )
| ( ( SV35 @ ( cons_poly_real @ ( sK43_SY465 @ SV35 @ SV73 ) @ ( sK50_SY474 @ SV35 @ SV73 ) ) )
= $true )
| ( ( SV35 @ SV73 )
= $true )
| ( ( SV35 @ ( cons_poly_real @ ( sK13_SY198 @ SV73 @ SV35 ) @ nil_poly_real ) )
= $false )
| ( ( SV35 @ nil_poly_real )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1146]) ).
thf(1163,plain,
! [SV93: list_poly_real,SV75: list_poly_real,SV38: list_poly_real > list_poly_real > $o] :
( ( ( SV38 @ ( sK57_SY481 @ SV75 @ SV93 @ SV38 ) @ ( cons_poly_real @ ( sK64_SY487 @ SV93 @ SV75 @ SV38 ) @ ( sK69_SY496 @ SV93 @ SV75 @ SV38 ) ) )
= $true )
| ( ( SV38 @ SV75 @ SV93 )
= $true )
| ( ( SV38 @ ( sK28_SY208 @ SV93 @ SV75 @ SV38 ) @ nil_poly_real )
= $false )
| ( ( SV38 @ nil_poly_real @ ( sK5_SY207 @ SV93 @ SV75 @ SV38 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1147]) ).
thf(1164,plain,
! [SV75: list_poly_real,SV93: list_poly_real,SV38: list_poly_real > list_poly_real > $o] :
( ( ( ~ ( SV38 @ ( cons_poly_real @ ( sK51_SY209 @ SV93 @ SV75 @ SV38 ) @ ( sK57_SY481 @ SV75 @ SV93 @ SV38 ) ) @ ( sK69_SY496 @ SV93 @ SV75 @ SV38 ) ) )
= $false )
| ( ( SV38 @ SV75 @ SV93 )
= $true )
| ( ( SV38 @ ( sK28_SY208 @ SV93 @ SV75 @ SV38 ) @ nil_poly_real )
= $false )
| ( ( SV38 @ nil_poly_real @ ( sK5_SY207 @ SV93 @ SV75 @ SV38 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1148]) ).
thf(1165,plain,
! [SV75: list_poly_real,SV93: list_poly_real,SV38: list_poly_real > list_poly_real > $o] :
( ( ( SV38 @ ( cons_poly_real @ ( sK51_SY209 @ SV93 @ SV75 @ SV38 ) @ ( sK57_SY481 @ SV75 @ SV93 @ SV38 ) ) @ ( cons_poly_real @ ( sK64_SY487 @ SV93 @ SV75 @ SV38 ) @ ( sK69_SY496 @ SV93 @ SV75 @ SV38 ) ) )
= $false )
| ( ( SV38 @ SV75 @ SV93 )
= $true )
| ( ( SV38 @ ( sK28_SY208 @ SV93 @ SV75 @ SV38 ) @ nil_poly_real )
= $false )
| ( ( SV38 @ nil_poly_real @ ( sK5_SY207 @ SV93 @ SV75 @ SV38 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1148]) ).
thf(1166,plain,
! [SV94: list_poly_real,SV76: list_poly_real,SV39: list_poly_real > list_poly_real > $o] :
( ( ( ! [SY508: poly_real,SY509: list_poly_real] :
( ~ ( SV39 @ ( sK77_SY504 @ SV76 @ SV94 @ SV39 ) @ SY509 )
| ( SV39 @ ( cons_poly_real @ ( sK73_SY219 @ SV94 @ SV76 @ SV39 ) @ ( sK77_SY504 @ SV76 @ SV94 @ SV39 ) ) @ ( cons_poly_real @ SY508 @ SY509 ) ) ) )
= $false )
| ( ( SV39 @ SV76 @ SV94 )
= $true )
| ( ( SV39 @ nil_poly_real @ ( cons_poly_real @ ( sK52_SY217 @ SV94 @ SV76 @ SV39 ) @ ( sK58_SY484 @ SV76 @ SV94 @ SV39 ) ) )
= $false )
| ( ( SV39 @ ( cons_poly_real @ ( sK22_SY215 @ SV94 @ SV76 @ SV39 ) @ ( sK29_SY456 @ SV76 @ SV94 @ SV39 ) ) @ nil_poly_real )
= $false )
| ( ( SV39 @ nil_poly_real @ nil_poly_real )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1149]) ).
thf(1167,plain,
! [SV78: list_poly_real,SV96: list_poly_real,SV41: list_poly_real > list_poly_real > $o] :
( ( ( ! [SY510: list_poly_real] : ( SV41 @ nil_poly_real @ ( cons_poly_real @ ( sK78_SY236 @ SV96 @ SV78 @ SV41 ) @ SY510 ) ) )
= $false )
| ( ( SV41 @ SV78 @ SV96 )
= $true )
| ( ( SV41 @ ( sK65_SY235 @ SV96 @ SV78 @ SV41 ) @ nil_poly_real )
= $false )
| ( ( SV41 @ ( sK15_SY444 @ SV78 @ SV96 @ SV41 ) @ ( sK31_SY457 @ SV96 @ SV78 @ SV41 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1150]) ).
thf(1168,plain,
! [SV78: list_poly_real,SV96: list_poly_real,SV41: list_poly_real > list_poly_real > $o] :
( ( ( SV41 @ nil_poly_real @ ( cons_poly_real @ ( sK74_SY236 @ SV96 @ SV78 @ SV41 ) @ ( sK79_SY507 @ SV78 @ SV96 @ SV41 ) ) )
= $false )
| ( ( SV41 @ SV78 @ SV96 )
= $true )
| ( ( SV41 @ ( sK59_SY235 @ SV96 @ SV78 @ SV41 ) @ nil_poly_real )
= $false )
| ( ( SV41 @ ( cons_poly_real @ ( sK7_SY231 @ SV96 @ SV78 @ SV41 ) @ ( sK15_SY444 @ SV78 @ SV96 @ SV41 ) ) @ ( cons_poly_real @ ( sK23_SY451 @ SV96 @ SV78 @ SV41 ) @ ( sK31_SY457 @ SV96 @ SV78 @ SV41 ) ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1151]) ).
thf(1169,plain,
! [SV98: list_poly_real,SV86: list_poly_real,SV52: list_poly_real > list_poly_real > $o] :
( ( ( ~ ( SV52 @ ( sK66_SY489 @ SV86 @ SV98 @ SV52 ) @ ( sK75_SY501 @ SV98 @ SV86 @ SV52 ) ) )
= $false )
| ( ( SV52 @ SV86 @ SV98 )
= $true )
| ( ( SV52 @ nil_poly_real @ ( cons_poly_real @ ( sK32_SY266 @ SV98 @ SV86 @ SV52 ) @ ( sK39_SY460 @ SV86 @ SV98 @ SV52 ) ) )
= $false )
| ( ( SV52 @ ( sK9_SY265 @ SV98 @ SV86 @ SV52 ) @ nil_poly_real )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1158]) ).
thf(1170,plain,
! [SV86: list_poly_real,SV98: list_poly_real,SV52: list_poly_real > list_poly_real > $o] :
( ( ( SV52 @ ( cons_poly_real @ ( sK60_SY268 @ SV98 @ SV86 @ SV52 ) @ ( sK66_SY489 @ SV86 @ SV98 @ SV52 ) ) @ ( cons_poly_real @ ( sK70_SY497 @ SV98 @ SV86 @ SV52 ) @ ( sK75_SY501 @ SV98 @ SV86 @ SV52 ) ) )
= $false )
| ( ( SV52 @ SV86 @ SV98 )
= $true )
| ( ( SV52 @ nil_poly_real @ ( cons_poly_real @ ( sK32_SY266 @ SV98 @ SV86 @ SV52 ) @ ( sK39_SY460 @ SV86 @ SV98 @ SV52 ) ) )
= $false )
| ( ( SV52 @ ( sK9_SY265 @ SV98 @ SV86 @ SV52 ) @ nil_poly_real )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1158]) ).
thf(1171,plain,
! [SV89: poly_real > poly_real > $o,SV99: list_poly_real,SV55: ( poly_real > poly_real > $o ) > list_poly_real > $o] :
( ( ( ~ ( SV55 @ ( sK61_SY283 @ SV99 @ SV89 @ SV55 ) @ ( cons_poly_real @ ( sK71_SY499 @ SV89 @ SV99 @ SV55 ) @ ( sK76_SY502 @ SV89 @ SV99 @ SV55 ) ) ) )
= $false )
| ( ( SV55 @ SV89 @ SV99 )
= $true )
| ( ( SV55 @ ( sK33_SY281 @ SV99 @ SV89 @ SV55 ) @ ( cons_poly_real @ ( sK40_SY462 @ SV89 @ SV99 @ SV55 ) @ nil_poly_real ) )
= $false )
| ( ( SV55 @ ( sK11_SY280 @ SV99 @ SV89 @ SV55 ) @ nil_poly_real )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1159]) ).
thf(1172,plain,
! [SV89: poly_real > poly_real > $o,SV99: list_poly_real,SV55: ( poly_real > poly_real > $o ) > list_poly_real > $o] :
( ( ( SV55 @ ( sK61_SY283 @ SV99 @ SV89 @ SV55 ) @ ( cons_poly_real @ ( sK67_SY492 @ SV89 @ SV99 @ SV55 ) @ ( cons_poly_real @ ( sK71_SY499 @ SV89 @ SV99 @ SV55 ) @ ( sK76_SY502 @ SV89 @ SV99 @ SV55 ) ) ) )
= $false )
| ( ( SV55 @ SV89 @ SV99 )
= $true )
| ( ( SV55 @ ( sK33_SY281 @ SV99 @ SV89 @ SV55 ) @ ( cons_poly_real @ ( sK40_SY462 @ SV89 @ SV99 @ SV55 ) @ nil_poly_real ) )
= $false )
| ( ( SV55 @ ( sK11_SY280 @ SV99 @ SV89 @ SV55 ) @ nil_poly_real )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1159]) ).
thf(1173,plain,
! [SV103: poly_real,SV105: list_poly_real,SV33: list_poly_real] :
( ( ( ! [SY503: list_poly_real] :
( SV33
!= ( cons_poly_real @ ( sK72_SY194 @ SV105 @ SV103 @ SV33 ) @ SY503 ) ) )
= $false )
| ( ( SV33
= ( cons_poly_real @ SV103 @ SV105 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1161]) ).
thf(1174,plain,
! [SV35: list_poly_real > $o,SV73: list_poly_real] :
( ( ( ( sK35_SY199 @ SV73 @ SV35 )
= ( sK43_SY465 @ SV35 @ SV73 ) )
= $true )
| ( ( SV35 @ ( cons_poly_real @ ( sK43_SY465 @ SV35 @ SV73 ) @ ( sK50_SY474 @ SV35 @ SV73 ) ) )
= $true )
| ( ( SV35 @ SV73 )
= $true )
| ( ( SV35 @ ( cons_poly_real @ ( sK13_SY198 @ SV73 @ SV35 ) @ nil_poly_real ) )
= $false )
| ( ( SV35 @ nil_poly_real )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1162]) ).
thf(1175,plain,
! [SV75: list_poly_real,SV93: list_poly_real,SV38: list_poly_real > list_poly_real > $o] :
( ( ( SV38 @ ( cons_poly_real @ ( sK51_SY209 @ SV93 @ SV75 @ SV38 ) @ ( sK57_SY481 @ SV75 @ SV93 @ SV38 ) ) @ ( sK69_SY496 @ SV93 @ SV75 @ SV38 ) )
= $true )
| ( ( SV38 @ SV75 @ SV93 )
= $true )
| ( ( SV38 @ ( sK28_SY208 @ SV93 @ SV75 @ SV38 ) @ nil_poly_real )
= $false )
| ( ( SV38 @ nil_poly_real @ ( sK5_SY207 @ SV93 @ SV75 @ SV38 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1164]) ).
thf(1176,plain,
! [SV94: list_poly_real,SV76: list_poly_real,SV39: list_poly_real > list_poly_real > $o] :
( ( ( ! [SY511: list_poly_real] :
( ~ ( SV39 @ ( sK77_SY504 @ SV76 @ SV94 @ SV39 ) @ SY511 )
| ( SV39 @ ( cons_poly_real @ ( sK73_SY219 @ SV94 @ SV76 @ SV39 ) @ ( sK77_SY504 @ SV76 @ SV94 @ SV39 ) ) @ ( cons_poly_real @ ( sK80_SY508 @ SV94 @ SV76 @ SV39 ) @ SY511 ) ) ) )
= $false )
| ( ( SV39 @ SV76 @ SV94 )
= $true )
| ( ( SV39 @ nil_poly_real @ ( cons_poly_real @ ( sK52_SY217 @ SV94 @ SV76 @ SV39 ) @ ( sK58_SY484 @ SV76 @ SV94 @ SV39 ) ) )
= $false )
| ( ( SV39 @ ( cons_poly_real @ ( sK22_SY215 @ SV94 @ SV76 @ SV39 ) @ ( sK29_SY456 @ SV76 @ SV94 @ SV39 ) ) @ nil_poly_real )
= $false )
| ( ( SV39 @ nil_poly_real @ nil_poly_real )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1166]) ).
thf(1177,plain,
! [SV78: list_poly_real,SV96: list_poly_real,SV41: list_poly_real > list_poly_real > $o] :
( ( ( SV41 @ nil_poly_real @ ( cons_poly_real @ ( sK78_SY236 @ SV96 @ SV78 @ SV41 ) @ ( sK81_SY510 @ SV78 @ SV96 @ SV41 ) ) )
= $false )
| ( ( SV41 @ SV78 @ SV96 )
= $true )
| ( ( SV41 @ ( sK65_SY235 @ SV96 @ SV78 @ SV41 ) @ nil_poly_real )
= $false )
| ( ( SV41 @ ( sK15_SY444 @ SV78 @ SV96 @ SV41 ) @ ( sK31_SY457 @ SV96 @ SV78 @ SV41 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1167]) ).
thf(1178,plain,
! [SV98: list_poly_real,SV86: list_poly_real,SV52: list_poly_real > list_poly_real > $o] :
( ( ( SV52 @ ( sK66_SY489 @ SV86 @ SV98 @ SV52 ) @ ( sK75_SY501 @ SV98 @ SV86 @ SV52 ) )
= $true )
| ( ( SV52 @ SV86 @ SV98 )
= $true )
| ( ( SV52 @ nil_poly_real @ ( cons_poly_real @ ( sK32_SY266 @ SV98 @ SV86 @ SV52 ) @ ( sK39_SY460 @ SV86 @ SV98 @ SV52 ) ) )
= $false )
| ( ( SV52 @ ( sK9_SY265 @ SV98 @ SV86 @ SV52 ) @ nil_poly_real )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1169]) ).
thf(1179,plain,
! [SV89: poly_real > poly_real > $o,SV99: list_poly_real,SV55: ( poly_real > poly_real > $o ) > list_poly_real > $o] :
( ( ( SV55 @ ( sK61_SY283 @ SV99 @ SV89 @ SV55 ) @ ( cons_poly_real @ ( sK71_SY499 @ SV89 @ SV99 @ SV55 ) @ ( sK76_SY502 @ SV89 @ SV99 @ SV55 ) ) )
= $true )
| ( ( SV55 @ SV89 @ SV99 )
= $true )
| ( ( SV55 @ ( sK33_SY281 @ SV99 @ SV89 @ SV55 ) @ ( cons_poly_real @ ( sK40_SY462 @ SV89 @ SV99 @ SV55 ) @ nil_poly_real ) )
= $false )
| ( ( SV55 @ ( sK11_SY280 @ SV99 @ SV89 @ SV55 ) @ nil_poly_real )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1171]) ).
thf(1180,plain,
! [SV103: poly_real,SV105: list_poly_real,SV33: list_poly_real] :
( ( ( SV33
!= ( cons_poly_real @ ( sK72_SY194 @ SV105 @ SV103 @ SV33 ) @ ( sK82_SY503 @ SV103 @ SV105 @ SV33 ) ) )
= $false )
| ( ( SV33
= ( cons_poly_real @ SV103 @ SV105 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1173]) ).
thf(1181,plain,
! [SV94: list_poly_real,SV76: list_poly_real,SV39: list_poly_real > list_poly_real > $o] :
( ( ( ~ ( SV39 @ ( sK77_SY504 @ SV76 @ SV94 @ SV39 ) @ ( sK83_SY511 @ SV94 @ SV76 @ SV39 ) )
| ( SV39 @ ( cons_poly_real @ ( sK73_SY219 @ SV94 @ SV76 @ SV39 ) @ ( sK77_SY504 @ SV76 @ SV94 @ SV39 ) ) @ ( cons_poly_real @ ( sK80_SY508 @ SV94 @ SV76 @ SV39 ) @ ( sK83_SY511 @ SV94 @ SV76 @ SV39 ) ) ) )
= $false )
| ( ( SV39 @ SV76 @ SV94 )
= $true )
| ( ( SV39 @ nil_poly_real @ ( cons_poly_real @ ( sK52_SY217 @ SV94 @ SV76 @ SV39 ) @ ( sK58_SY484 @ SV76 @ SV94 @ SV39 ) ) )
= $false )
| ( ( SV39 @ ( cons_poly_real @ ( sK22_SY215 @ SV94 @ SV76 @ SV39 ) @ ( sK29_SY456 @ SV76 @ SV94 @ SV39 ) ) @ nil_poly_real )
= $false )
| ( ( SV39 @ nil_poly_real @ nil_poly_real )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1176]) ).
thf(1182,plain,
! [SV103: poly_real,SV105: list_poly_real,SV33: list_poly_real] :
( ( ( SV33
= ( cons_poly_real @ ( sK72_SY194 @ SV105 @ SV103 @ SV33 ) @ ( sK82_SY503 @ SV103 @ SV105 @ SV33 ) ) )
= $true )
| ( ( SV33
= ( cons_poly_real @ SV103 @ SV105 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1180]) ).
thf(1183,plain,
! [SV94: list_poly_real,SV76: list_poly_real,SV39: list_poly_real > list_poly_real > $o] :
( ( ( ~ ( SV39 @ ( sK77_SY504 @ SV76 @ SV94 @ SV39 ) @ ( sK83_SY511 @ SV94 @ SV76 @ SV39 ) ) )
= $false )
| ( ( SV39 @ SV76 @ SV94 )
= $true )
| ( ( SV39 @ nil_poly_real @ ( cons_poly_real @ ( sK52_SY217 @ SV94 @ SV76 @ SV39 ) @ ( sK58_SY484 @ SV76 @ SV94 @ SV39 ) ) )
= $false )
| ( ( SV39 @ ( cons_poly_real @ ( sK22_SY215 @ SV94 @ SV76 @ SV39 ) @ ( sK29_SY456 @ SV76 @ SV94 @ SV39 ) ) @ nil_poly_real )
= $false )
| ( ( SV39 @ nil_poly_real @ nil_poly_real )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1181]) ).
thf(1184,plain,
! [SV76: list_poly_real,SV94: list_poly_real,SV39: list_poly_real > list_poly_real > $o] :
( ( ( SV39 @ ( cons_poly_real @ ( sK73_SY219 @ SV94 @ SV76 @ SV39 ) @ ( sK77_SY504 @ SV76 @ SV94 @ SV39 ) ) @ ( cons_poly_real @ ( sK80_SY508 @ SV94 @ SV76 @ SV39 ) @ ( sK83_SY511 @ SV94 @ SV76 @ SV39 ) ) )
= $false )
| ( ( SV39 @ SV76 @ SV94 )
= $true )
| ( ( SV39 @ nil_poly_real @ ( cons_poly_real @ ( sK52_SY217 @ SV94 @ SV76 @ SV39 ) @ ( sK58_SY484 @ SV76 @ SV94 @ SV39 ) ) )
= $false )
| ( ( SV39 @ ( cons_poly_real @ ( sK22_SY215 @ SV94 @ SV76 @ SV39 ) @ ( sK29_SY456 @ SV76 @ SV94 @ SV39 ) ) @ nil_poly_real )
= $false )
| ( ( SV39 @ nil_poly_real @ nil_poly_real )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1181]) ).
thf(1185,plain,
! [SV94: list_poly_real,SV76: list_poly_real,SV39: list_poly_real > list_poly_real > $o] :
( ( ( SV39 @ ( sK77_SY504 @ SV76 @ SV94 @ SV39 ) @ ( sK83_SY511 @ SV94 @ SV76 @ SV39 ) )
= $true )
| ( ( SV39 @ SV76 @ SV94 )
= $true )
| ( ( SV39 @ nil_poly_real @ ( cons_poly_real @ ( sK52_SY217 @ SV94 @ SV76 @ SV39 ) @ ( sK58_SY484 @ SV76 @ SV94 @ SV39 ) ) )
= $false )
| ( ( SV39 @ ( cons_poly_real @ ( sK22_SY215 @ SV94 @ SV76 @ SV39 ) @ ( sK29_SY456 @ SV76 @ SV94 @ SV39 ) ) @ nil_poly_real )
= $false )
| ( ( SV39 @ nil_poly_real @ nil_poly_real )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1183]) ).
thf(1186,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[424,1185,1184,1182,1179,1178,1177,1175,1174,1172,1170,1168,1165,1163,1160,1157,1156,1155,1154,1153,1152,1145,1143,1135,1132,1131,1123,1122,1119,1115,1113,1111,1104,1097,1092,1091,1089,1085,1080,1071,1064,1063,1059,1058,1054,1053,1049,1016,1009,993,991,987,982,981,976,972,962,961,960,959,958,957,956,955,954,953,952,951,950,949,948,947,946,945,944,943,942,941,940,939,938,937,936,935,934,933,932,931,930,929,928,927,915,901,880,879,878,877,856,855,854,853,852,851,850,849,786,775,699,697,679,655,650,647,636,634,632,630,628,625,623,621,619,617,587,581,575,573,572,571,569,568,566,565,533,532,531,530,529,527,522,521,519,515,511,510,509,507,478,472,436]) ).
thf(1187,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[1186]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ITP196^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.04 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.06/0.17 % Computer : n005.cluster.edu
% 0.06/0.17 % Model : x86_64 x86_64
% 0.06/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.17 % Memory : 8046.5625MB
% 0.06/0.17 % OS : Linux 6.8.0-71-generic
% 0.06/0.17 % CPULimit : 300
% 0.06/0.18 % WCLimit : 300
% 0.06/0.18 % DateTime : Tue Oct 6 11:19:29 UTC 2026
% 0.06/0.18 % CPUTime :
% 0.06/0.18 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 9.15/1.77 ...
% 9.15/1.77
% 9.15/1.77 No.of.Axioms: 62
% 9.15/1.77
% 9.15/1.77 Length.of.Defs: 0
% 9.15/1.77
% 9.15/1.77 Contains.Choice.Funs: false
% 9.15/1.77 ............................
% 9.15/1.77
% 9.15/1.77 ********************************
% 9.15/1.77 * All subproblems solved! *
% 9.15/1.77 ********************************
% 9.15/1.77 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:1,axioms:62,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:1186,loop_count:0,foatp_calls:1,translation:fof_full)
% 9.15/1.78
% 9.15/1.78 %**** Beginning of derivation protocol ****
% 9.15/1.78 % SZS output start CNFRefutation
% See solution above
% 9.15/1.79
% 9.15/1.79 %**** End of derivation protocol ****
% 9.15/1.79 %**** no. of clauses in derivation: 900 ****
% 9.15/1.79 %**** clause counter: 1186 ****
% 9.15/1.79
% 9.15/1.79 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:1,axioms:62,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:1186,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------