%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : ITP175^1 : 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 : n011.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 10:24:35 AM UTC 2026
% Result : Theorem 19.94s 3.69s
% Output : CNFRefutation 19.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 65
% Number of leaves : 83
% Syntax : Number of formulae : 1664 ( 542 unt; 0 typ; 0 def)
% Number of atoms : 15281 (6643 equ; 0 cnn)
% Maximal formula atoms : 9 ( 9 avg)
% Number of connectives : 28025 (5961 ~;4936 |; 42 &;16762 @)
% ( 0 <=>; 324 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Number of types : 77 ( 76 usr)
% Number of type conns : 89 ( 89 >; 0 *; 0 +; 0 <<)
% Number of symbols : 267 ( 264 usr; 21 con; 0-5 aty)
% Number of variables : 5563 ( 57 ^;5491 !; 15 ?;5563 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_a,type,
a: $tType ).
thf(tp_allegorical_term_a,type,
allegorical_term_a: $tType ).
thf(tp_b,type,
b: $tType ).
thf(tp_labele1586099759_a_nat,type,
labele1586099759_a_nat: $tType ).
thf(tp_labele488176869od_b_b,type,
labele488176869od_b_b: $tType ).
thf(tp_labele553847424_a_nat,type,
labele553847424_a_nat: $tType ).
thf(tp_labeled_graph_a_b,type,
labeled_graph_a_b: $tType ).
thf(tp_labeled_graph_a_nat,type,
labeled_graph_a_nat: $tType ).
thf(tp_produc1053464231od_b_b,type,
produc1053464231od_b_b: $tType ).
thf(tp_produc1063300186_a_nat,type,
produc1063300186_a_nat: $tType ).
thf(tp_produc1099860071_a_nat,type,
produc1099860071_a_nat: $tType ).
thf(tp_produc1114535079od_b_b,type,
produc1114535079od_b_b: $tType ).
thf(tp_produc1133639312od_b_b,type,
produc1133639312od_b_b: $tType ).
thf(tp_produc1168037607od_b_b,type,
produc1168037607od_b_b: $tType ).
thf(tp_produc1230257585_a_nat,type,
produc1230257585_a_nat: $tType ).
thf(tp_produc1248251020_nat_b,type,
produc1248251020_nat_b: $tType ).
thf(tp_produc126142486_a_nat,type,
produc126142486_a_nat: $tType ).
thf(tp_produc130774173od_b_b,type,
produc130774173od_b_b: $tType ).
thf(tp_produc1428649885_a_nat,type,
produc1428649885_a_nat: $tType ).
thf(tp_produc150548199_set_b,type,
produc150548199_set_b: $tType ).
thf(tp_produc1529836775od_b_b,type,
produc1529836775od_b_b: $tType ).
thf(tp_produc1554726631od_b_b,type,
produc1554726631od_b_b: $tType ).
thf(tp_produc1614181008od_b_b,type,
produc1614181008od_b_b: $tType ).
thf(tp_produc1734972647_a_nat,type,
produc1734972647_a_nat: $tType ).
thf(tp_produc1869574247_a_nat,type,
produc1869574247_a_nat: $tType ).
thf(tp_produc1921243879od_b_b,type,
produc1921243879od_b_b: $tType ).
thf(tp_produc1942261264_a_nat,type,
produc1942261264_a_nat: $tType ).
thf(tp_produc197046951od_b_b,type,
produc197046951od_b_b: $tType ).
thf(tp_produc207618585_a_nat,type,
produc207618585_a_nat: $tType ).
thf(tp_produc2106791463_a_nat,type,
produc2106791463_a_nat: $tType ).
thf(tp_produc2112523263_b_b_b,type,
produc2112523263_b_b_b: $tType ).
thf(tp_produc255402447od_b_b,type,
produc255402447od_b_b: $tType ).
thf(tp_produc297983550_a_nat,type,
produc297983550_a_nat: $tType ).
thf(tp_produc300546791od_b_b,type,
produc300546791od_b_b: $tType ).
thf(tp_produc401211613od_b_b,type,
produc401211613od_b_b: $tType ).
thf(tp_produc51693287od_b_b,type,
produc51693287od_b_b: $tType ).
thf(tp_produc588599965_a_nat,type,
produc588599965_a_nat: $tType ).
thf(tp_produc598811825_a_nat,type,
produc598811825_a_nat: $tType ).
thf(tp_produc759315249_a_nat,type,
produc759315249_a_nat: $tType ).
thf(tp_produc776320369_a_nat,type,
produc776320369_a_nat: $tType ).
thf(tp_product_prod_b_b,type,
product_prod_b_b: $tType ).
thf(tp_set_Pr1045675335_a_nat,type,
set_Pr1045675335_a_nat: $tType ).
thf(tp_set_Pr1223907581_a_nat,type,
set_Pr1223907581_a_nat: $tType ).
thf(tp_set_Pr1229594311od_b_b,type,
set_Pr1229594311od_b_b: $tType ).
thf(tp_set_Pr1271557767od_b_b,type,
set_Pr1271557767od_b_b: $tType ).
thf(tp_set_Pr1370504391_a_nat,type,
set_Pr1370504391_a_nat: $tType ).
thf(tp_set_Pr1391123143od_b_b,type,
set_Pr1391123143od_b_b: $tType ).
thf(tp_set_Pr1463111367_set_b,type,
set_Pr1463111367_set_b: $tType ).
thf(tp_set_Pr1549208893od_b_b,type,
set_Pr1549208893od_b_b: $tType ).
thf(tp_set_Pr1626978257_a_nat,type,
set_Pr1626978257_a_nat: $tType ).
thf(tp_set_Pr1870121716_a_nat,type,
set_Pr1870121716_a_nat: $tType ).
thf(tp_set_Pr1900477680od_b_b,type,
set_Pr1900477680od_b_b: $tType ).
thf(tp_set_Pr1912306449_a_nat,type,
set_Pr1912306449_a_nat: $tType ).
thf(tp_set_Pr1914572181_nat_b,type,
set_Pr1914572181_nat_b: $tType ).
thf(tp_set_Pr2007082183od_b_b,type,
set_Pr2007082183od_b_b: $tType ).
thf(tp_set_Pr2010644300_a_nat,type,
set_Pr2010644300_a_nat: $tType ).
thf(tp_set_Pr2028709629od_b_b,type,
set_Pr2028709629od_b_b: $tType ).
thf(tp_set_Pr2054759953_a_nat,type,
set_Pr2054759953_a_nat: $tType ).
thf(tp_set_Pr2072721159_a_nat,type,
set_Pr2072721159_a_nat: $tType ).
thf(tp_set_Pr2074180935_a_nat,type,
set_Pr2074180935_a_nat: $tType ).
thf(tp_set_Pr2106913242_nat_b,type,
set_Pr2106913242_nat_b: $tType ).
thf(tp_set_Pr21610864_a_nat,type,
set_Pr21610864_a_nat: $tType ).
thf(tp_set_Pr352593785_a_nat,type,
set_Pr352593785_a_nat: $tType ).
thf(tp_set_Pr357419743_b_b_b,type,
set_Pr357419743_b_b_b: $tType ).
thf(tp_set_Pr406163591od_b_b,type,
set_Pr406163591od_b_b: $tType ).
thf(tp_set_Pr454079687od_b_b,type,
set_Pr454079687od_b_b: $tType ).
thf(tp_set_Pr471017666_nat_b,type,
set_Pr471017666_nat_b: $tType ).
thf(tp_set_Pr621705391od_b_b,type,
set_Pr621705391od_b_b: $tType ).
thf(tp_set_Pr773647559od_b_b,type,
set_Pr773647559od_b_b: $tType ).
thf(tp_set_Pr963356295od_b_b,type,
set_Pr963356295od_b_b: $tType ).
thf(tp_set_Product_prod_b_b,type,
set_Product_prod_b_b: $tType ).
thf(tp_set_b,type,
set_b: $tType ).
thf(tp_set_la1108361502_a_nat,type,
set_la1108361502_a_nat: $tType ).
thf(tp_set_se480333169_a_nat,type,
set_se480333169_a_nat: $tType ).
thf(tp_set_se668355239od_b_b,type,
set_se668355239od_b_b: $tType ).
thf(tp_set_set_b,type,
set_set_b: $tType ).
thf(tp_bNF_Gr1693995344od_b_b,type,
bNF_Gr1693995344od_b_b: ( b > product_prod_b_b ) > set_b > product_prod_b_b ).
thf(tp_bNF_Gr345950468_set_b,type,
bNF_Gr345950468_set_b: set_Product_prod_b_b > ( b > set_b ) > set_Pr1463111367_set_b ).
thf(tp_bot_bo1119737266_a_nat,type,
bot_bo1119737266_a_nat: set_la1108361502_a_nat ).
thf(tp_bot_bo1174586163od_b_b,type,
bot_bo1174586163od_b_b: set_Pr2007082183od_b_b ).
thf(tp_bot_bo1302443370_b_b_o,type,
bot_bo1302443370_b_b_o: product_prod_b_b > $o ).
thf(tp_bot_bo1343651123od_b_b,type,
bot_bo1343651123od_b_b: set_Product_prod_b_b ).
thf(tp_bot_bo1463793628_a_nat,type,
bot_bo1463793628_a_nat: set_Pr21610864_a_nat ).
thf(tp_bot_bo1746593245_a_nat,type,
bot_bo1746593245_a_nat: set_se480333169_a_nat ).
thf(tp_bot_bo1803599795_a_nat,type,
bot_bo1803599795_a_nat: set_Pr2074180935_a_nat ).
thf(tp_bot_bo1856908531od_b_b,type,
bot_bo1856908531od_b_b: set_Pr963356295od_b_b ).
thf(tp_bot_bo186023328_nat_o,type,
bot_bo186023328_nat_o: produc598811825_a_nat > $o ).
thf(tp_bot_bo1936722433_nat_b,type,
bot_bo1936722433_nat_b: set_Pr1914572181_nat_b ).
thf(tp_bot_bo2066531197_a_nat,type,
bot_bo2066531197_a_nat: set_Pr1912306449_a_nat ).
thf(tp_bot_bo2142478259_a_nat,type,
bot_bo2142478259_a_nat: set_Pr1045675335_a_nat ).
thf(tp_bot_bo519661404od_b_b,type,
bot_bo519661404od_b_b: set_Pr1900477680od_b_b ).
thf(tp_bot_bo896299827_a_nat,type,
bot_bo896299827_a_nat: set_Pr1370504391_a_nat ).
thf(tp_bot_bot_set_b,type,
bot_bot_set_b: set_b ).
thf(tp_collec1231052114od_b_b,type,
collec1231052114od_b_b: ( produc1168037607od_b_b > $o ) > set_Pr2007082183od_b_b ).
thf(tp_collec1481886546od_b_b,type,
collec1481886546od_b_b: ( product_prod_b_b > $o ) > set_Product_prod_b_b ).
thf(tp_collec1543202610od_b_b,type,
collec1543202610od_b_b: ( set_Product_prod_b_b > $o ) > set_se668355239od_b_b ).
thf(tp_collec971438076_a_nat,type,
collec971438076_a_nat: ( set_Pr1912306449_a_nat > $o ) > set_se480333169_a_nat ).
thf(tp_collec978177436_a_nat,type,
collec978177436_a_nat: ( produc598811825_a_nat > $o ) > set_Pr1912306449_a_nat ).
thf(tp_collect_b,type,
collect_b: ( b > $o ) > set_b ).
thf(tp_collect_set_b,type,
collect_set_b: ( set_b > $o ) > set_set_b ).
thf(tp_conseq1058228089_nat_b,type,
conseq1058228089_nat_b: set_Pr1912306449_a_nat > labeled_graph_a_b > $o ).
thf(tp_equiv_1125628061od_b_b,type,
equiv_1125628061od_b_b: set_Product_prod_b_b > set_Pr2007082183od_b_b > $o ).
thf(tp_equiv_1338033912_a_nat,type,
equiv_1338033912_a_nat: set_Pr1912306449_a_nat > set_Pr2074180935_a_nat > set_se480333169_a_nat ).
thf(tp_equiv_1530858158od_b_b,type,
equiv_1530858158od_b_b: set_Product_prod_b_b > set_Pr2007082183od_b_b > set_se668355239od_b_b ).
thf(tp_equiv_1778431934od_b_b,type,
equiv_1778431934od_b_b: set_Product_prod_b_b > ( b > product_prod_b_b ) > $o ).
thf(tp_equiv_1873824970_a_nat,type,
equiv_1873824970_a_nat: set_Pr2074180935_a_nat > produc598811825_a_nat > set_Pr1912306449_a_nat ).
thf(tp_equiv_270653002od_b_b,type,
equiv_270653002od_b_b: set_Pr2007082183od_b_b > product_prod_b_b > set_Product_prod_b_b ).
thf(tp_equiv_281634663_a_nat,type,
equiv_281634663_a_nat: set_Pr1912306449_a_nat > set_Pr2074180935_a_nat > $o ).
thf(tp_equiv_equiv_b,type,
equiv_equiv_b: set_b > set_Product_prod_b_b > $o ).
thf(tp_equiv_proj_b_b,type,
equiv_proj_b_b: set_Product_prod_b_b > b > set_b ).
thf(tp_equiv_quotient_b,type,
equiv_quotient_b: set_b > set_Product_prod_b_b > set_set_b ).
thf(tp_extensible_a_nat_b,type,
extensible_a_nat_b: produc598811825_a_nat > labeled_graph_a_b > set_Pr2106913242_nat_b > $o ).
thf(tp_fin_ma603645735_nat_b,type,
fin_ma603645735_nat_b: produc598811825_a_nat > labeled_graph_a_b > $o ).
thf(tp_g,type,
g: labeled_graph_a_b ).
thf(tp_getRel1183868946od_b_b,type,
getRel1183868946od_b_b: a > labele488176869od_b_b > set_Pr2007082183od_b_b ).
thf(tp_getRel1248627292_a_nat,type,
getRel1248627292_a_nat: a > labele1586099759_a_nat > set_Pr2074180935_a_nat ).
thf(tp_getRel1657740669_a_nat,type,
getRel1657740669_a_nat: a > labele553847424_a_nat > set_Pr1912306449_a_nat ).
thf(tp_getRel_a_b,type,
getRel_a_b: a > labeled_graph_a_b > set_Product_prod_b_b ).
thf(tp_graph_1322245399_a_b_b,type,
graph_1322245399_a_b_b: labeled_graph_a_b > labeled_graph_a_b > set_Product_prod_b_b > $o ).
thf(tp_graph_23275493_nat_b,type,
graph_23275493_nat_b: labele1586099759_a_nat > labeled_graph_a_b > set_Pr1914572181_nat_b > $o ).
thf(tp_graph_914848022_nat_b,type,
graph_914848022_nat_b: labeled_graph_a_nat > labeled_graph_a_b > set_Pr2106913242_nat_b > $o ).
thf(tp_graph_union_a_b,type,
graph_union_a_b: labeled_graph_a_b > labeled_graph_a_b > labeled_graph_a_b ).
thf(tp_i,type,
i: a ).
thf(tp_id_on_1401723275_a_nat,type,
id_on_1401723275_a_nat: set_la1108361502_a_nat > set_Pr1912306449_a_nat ).
thf(tp_id_on_1649591758_a_nat,type,
id_on_1649591758_a_nat: set_Pr1912306449_a_nat > set_Pr2074180935_a_nat ).
thf(tp_id_on_2019020932od_b_b,type,
id_on_2019020932od_b_b: set_Product_prod_b_b > set_Pr2007082183od_b_b ).
thf(tp_id_on_b,type,
id_on_b: set_b > set_Product_prod_b_b ).
thf(tp_id_on_set_b,type,
id_on_set_b: set_set_b > set_Pr1463111367_set_b ).
thf(tp_idempo365306145_a_nat,type,
idempo365306145_a_nat: set_Pr2074180935_a_nat > $o ).
thf(tp_idempo371692375od_b_b,type,
idempo371692375od_b_b: set_Pr2007082183od_b_b > $o ).
thf(tp_idempo848975736_a_nat,type,
idempo848975736_a_nat: set_Pr1912306449_a_nat > $o ).
thf(tp_idempotent_b,type,
idempotent_b: set_Product_prod_b_b > $o ).
thf(tp_insert1098249399od_b_b,type,
insert1098249399od_b_b: produc1168037607od_b_b > set_Pr2007082183od_b_b > set_Pr2007082183od_b_b ).
thf(tp_insert1220735201_a_nat,type,
insert1220735201_a_nat: set_Pr1912306449_a_nat > set_se480333169_a_nat > set_se480333169_a_nat ).
thf(tp_insert1337853464_a_nat,type,
insert1337853464_a_nat: labeled_graph_a_nat > set_la1108361502_a_nat > set_la1108361502_a_nat ).
thf(tp_insert1655137376od_b_b,type,
insert1655137376od_b_b: produc1133639312od_b_b > set_Pr1900477680od_b_b > set_Pr1900477680od_b_b ).
thf(tp_insert1772835511_a_nat,type,
insert1772835511_a_nat: produc1734972647_a_nat > set_Pr1370504391_a_nat > set_Pr1370504391_a_nat ).
thf(tp_insert1952693431od_b_b,type,
insert1952693431od_b_b: product_prod_b_b > set_Product_prod_b_b > set_Product_prod_b_b ).
thf(tp_insert2058869377_a_nat,type,
insert2058869377_a_nat: produc598811825_a_nat > set_Pr1912306449_a_nat > set_Pr1912306449_a_nat ).
thf(tp_insert354391607_a_nat,type,
insert354391607_a_nat: produc1099860071_a_nat > set_Pr2074180935_a_nat > set_Pr2074180935_a_nat ).
thf(tp_insert428421239od_b_b,type,
insert428421239od_b_b: produc197046951od_b_b > set_Pr963356295od_b_b > set_Pr963356295od_b_b ).
thf(tp_insert885128759_a_nat,type,
insert885128759_a_nat: produc1869574247_a_nat > set_Pr1045675335_a_nat > set_Pr1045675335_a_nat ).
thf(tp_insert_b,type,
insert_b: b > set_b > set_b ).
thf(tp_is_emp1506632323_a_nat,type,
is_emp1506632323_a_nat: set_Pr1912306449_a_nat > $o ).
thf(tp_is_sin1713057243od_b_b,type,
is_sin1713057243od_b_b: set_Product_prod_b_b > $o ).
thf(tp_is_sin1787449765_a_nat,type,
is_sin1787449765_a_nat: set_Pr1912306449_a_nat > $o ).
thf(tp_l,type,
l: a ).
thf(tp_labele1171788421_a_nat,type,
labele1171788421_a_nat: set_Pr21610864_a_nat > set_Pr1912306449_a_nat > labele1586099759_a_nat ).
thf(tp_labele198153475_a_nat,type,
labele198153475_a_nat: labele1586099759_a_nat > set_Pr1912306449_a_nat ).
thf(tp_labele240831545od_b_b,type,
labele240831545od_b_b: labele488176869od_b_b > set_Product_prod_b_b ).
thf(tp_labele953802518_a_nat,type,
labele953802518_a_nat: labele553847424_a_nat > set_la1108361502_a_nat ).
thf(tp_labeled_LG_a_b,type,
labeled_LG_a_b: set_Pr1900477680od_b_b > set_b > labeled_graph_a_b ).
thf(tp_labeled_edges_a_b,type,
labeled_edges_a_b: labeled_graph_a_b > set_Pr1900477680od_b_b ).
thf(tp_labeled_vertices_a_b,type,
labeled_vertices_a_b: labeled_graph_a_b > set_b ).
thf(tp_mainta1627462506_a_nat,type,
mainta1627462506_a_nat: produc598811825_a_nat > labele1586099759_a_nat > $o ).
thf(tp_mainta535344367_a_nat,type,
mainta535344367_a_nat: produc598811825_a_nat > labele553847424_a_nat > $o ).
thf(tp_mainta552012832od_b_b,type,
mainta552012832od_b_b: produc598811825_a_nat > labele488176869od_b_b > $o ).
thf(tp_maintained_a_nat_b,type,
maintained_a_nat_b: produc598811825_a_nat > labeled_graph_a_b > $o ).
thf(tp_member1009730320od_b_b,type,
member1009730320od_b_b: produc51693287od_b_b > set_Pr773647559od_b_b > $o ).
thf(tp_member101535418_a_nat,type,
member101535418_a_nat: set_Pr1912306449_a_nat > set_se480333169_a_nat > $o ).
thf(tp_member1023210704od_b_b,type,
member1023210704od_b_b: produc1114535079od_b_b > set_Pr1271557767od_b_b > $o ).
thf(tp_member1050118384od_b_b,type,
member1050118384od_b_b: set_Product_prod_b_b > set_se668355239od_b_b > $o ).
thf(tp_member1072844688_a_nat,type,
member1072844688_a_nat: produc1869574247_a_nat > set_Pr1045675335_a_nat > $o ).
thf(tp_member1199885584_set_b,type,
member1199885584_set_b: produc150548199_set_b > set_Pr1463111367_set_b > $o ).
thf(tp_member121756432_a_nat,type,
member121756432_a_nat: produc1734972647_a_nat > set_Pr1370504391_a_nat > $o ).
thf(tp_member1285940496od_b_b,type,
member1285940496od_b_b: product_prod_b_b > set_Product_prod_b_b > $o ).
thf(tp_member1379268944_a_nat,type,
member1379268944_a_nat: produc2106791463_a_nat > set_Pr2072721159_a_nat > $o ).
thf(tp_member1432657168od_b_b,type,
member1432657168od_b_b: produc1554726631od_b_b > set_Pr1229594311od_b_b > $o ).
thf(tp_member1542696848_a_nat,type,
member1542696848_a_nat: produc1099860071_a_nat > set_Pr2074180935_a_nat > $o ).
thf(tp_member154916863_a_nat,type,
member154916863_a_nat: labeled_graph_a_nat > set_la1108361502_a_nat > $o ).
thf(tp_member1652792080od_b_b,type,
member1652792080od_b_b: produc1168037607od_b_b > set_Pr2007082183od_b_b > $o ).
thf(tp_member1694913744od_b_b,type,
member1694913744od_b_b: produc197046951od_b_b > set_Pr963356295od_b_b > $o ).
thf(tp_member1769525082_a_nat,type,
member1769525082_a_nat: produc1230257585_a_nat > set_Pr2054759953_a_nat > $o ).
thf(tp_member178477328od_b_b,type,
member178477328od_b_b: produc300546791od_b_b > set_Pr1391123143od_b_b > $o ).
thf(tp_member1829919504od_b_b,type,
member1829919504od_b_b: produc1921243879od_b_b > set_Pr454079687od_b_b > $o ).
thf(tp_member1885627811_nat_b,type,
member1885627811_nat_b: produc1248251020_nat_b > set_Pr471017666_nat_b > $o ).
thf(tp_member2103088853_a_nat,type,
member2103088853_a_nat: produc297983550_a_nat > set_Pr1870121716_a_nat > $o ).
thf(tp_member327031898_a_nat,type,
member327031898_a_nat: produc598811825_a_nat > set_Pr1912306449_a_nat > $o ).
thf(tp_member351494440_b_b_b,type,
member351494440_b_b_b: produc2112523263_b_b_b > set_Pr357419743_b_b_b > $o ).
thf(tp_member428378182_a_nat,type,
member428378182_a_nat: produc588599965_a_nat > set_Pr1223907581_a_nat > $o ).
thf(tp_member442676358od_b_b,type,
member442676358od_b_b: produc401211613od_b_b > set_Pr1549208893od_b_b > $o ).
thf(tp_member641857272od_b_b,type,
member641857272od_b_b: produc255402447od_b_b > set_Pr621705391od_b_b > $o ).
thf(tp_member670041670od_b_b,type,
member670041670od_b_b: produc130774173od_b_b > set_Pr2028709629od_b_b > $o ).
thf(tp_member692218050_a_nat,type,
member692218050_a_nat: produc207618585_a_nat > set_Pr352593785_a_nat > $o ).
thf(tp_member763519277_a_nat,type,
member763519277_a_nat: produc126142486_a_nat > set_Pr2010644300_a_nat > $o ).
thf(tp_member817785114_a_nat,type,
member817785114_a_nat: produc776320369_a_nat > set_Pr1626978257_a_nat > $o ).
thf(tp_member962139856od_b_b,type,
member962139856od_b_b: produc1053464231od_b_b > set_Pr406163591od_b_b > $o ).
thf(tp_member_b,type,
member_b: b > set_b > $o ).
thf(tp_member_set_b,type,
member_set_b: set_b > set_set_b > $o ).
thf(tp_on_tri111564221od_b_b,type,
on_tri111564221od_b_b: set_Product_prod_b_b > set_Pr454079687od_b_b ).
thf(tp_on_tri1706508026od_b_b,type,
on_tri1706508026od_b_b: set_Pr471017666_nat_b > set_Pr2028709629od_b_b ).
thf(tp_on_tri1764442556_b_b_a,type,
on_tri1764442556_b_b_a: set_Pr357419743_b_b_b > set_Pr1271557767od_b_b ).
thf(tp_on_tri1766439058_a_nat,type,
on_tri1766439058_a_nat: set_Pr1870121716_a_nat > set_Pr1223907581_a_nat ).
thf(tp_on_tri1794757026_nat_a,type,
on_tri1794757026_nat_a: set_Pr352593785_a_nat > set_Pr2072721159_a_nat ).
thf(tp_on_tri1837931688od_b_b,type,
on_tri1837931688od_b_b: set_Pr2010644300_a_nat > set_Pr2054759953_a_nat ).
thf(tp_on_tri1993240081at_b_a,type,
on_tri1993240081at_b_a: set_Pr471017666_nat_b > set_Pr1549208893od_b_b ).
thf(tp_on_tri2003683308_b_b_a,type,
on_tri2003683308_b_b_a: set_Pr621705391od_b_b > set_Pr406163591od_b_b ).
thf(tp_on_tri2117183935_nat_a,type,
on_tri2117183935_nat_a: set_Pr2010644300_a_nat > set_Pr1626978257_a_nat ).
thf(tp_on_tri232494965_a_nat,type,
on_tri232494965_a_nat: set_Pr1912306449_a_nat > set_Pr1370504391_a_nat ).
thf(tp_on_tri927008213od_b_b,type,
on_tri927008213od_b_b: set_Pr621705391od_b_b > set_Pr1229594311od_b_b ).
thf(tp_on_tri97791909od_b_b,type,
on_tri97791909od_b_b: set_Pr357419743_b_b_b > set_Pr1391123143od_b_b ).
thf(tp_on_triple_b_b_a,type,
on_triple_b_b_a: set_Product_prod_b_b > set_Pr963356295od_b_b ).
thf(tp_ord_le1036320359od_b_b,type,
ord_le1036320359od_b_b: set_Product_prod_b_b > set_Product_prod_b_b > $o ).
thf(tp_ord_le1374266033_a_nat,type,
ord_le1374266033_a_nat: set_Pr1912306449_a_nat > set_Pr1912306449_a_nat > $o ).
thf(tp_ord_le1484132922_nat_b,type,
ord_le1484132922_nat_b: set_Pr2106913242_nat_b > set_Pr2106913242_nat_b > $o ).
thf(tp_ord_le2142668391_set_b,type,
ord_le2142668391_set_b: set_Pr1463111367_set_b > set_Pr1463111367_set_b > $o ).
thf(tp_ord_le887919760od_b_b,type,
ord_le887919760od_b_b: set_Pr1900477680od_b_b > set_Pr1900477680od_b_b > $o ).
thf(tp_ord_less_eq_set_b,type,
ord_less_eq_set_b: set_b > set_b > $o ).
thf(tp_order_1195372542od_b_b,type,
order_1195372542od_b_b: set_Product_prod_b_b > set_Pr2007082183od_b_b > $o ).
thf(tp_order_145089608_a_nat,type,
order_145089608_a_nat: set_Pr1912306449_a_nat > set_Pr2074180935_a_nat > $o ).
thf(tp_order_1458491494_a_nat,type,
order_1458491494_a_nat: set_Pr1912306449_a_nat > set_Pr2074180935_a_nat > $o ).
thf(tp_order_1770871027_a_nat,type,
order_1770871027_a_nat: set_la1108361502_a_nat > set_Pr1912306449_a_nat > $o ).
thf(tp_order_265664679od_b_b,type,
order_265664679od_b_b: set_Pr1900477680od_b_b > set_Pr963356295od_b_b > $o ).
thf(tp_order_640573096_a_nat,type,
order_640573096_a_nat: set_se480333169_a_nat > set_Pr1045675335_a_nat > $o ).
thf(tp_order_653178932r_on_b,type,
order_653178932r_on_b: set_b > set_Product_prod_b_b > $o ).
thf(tp_order_989282449_a_nat,type,
order_989282449_a_nat: set_la1108361502_a_nat > set_Pr1912306449_a_nat > $o ).
thf(tp_order_preorder_on_b,type,
order_preorder_on_b: set_b > set_Product_prod_b_b > $o ).
thf(tp_produc1001682799_b_b_b,type,
produc1001682799_b_b_b: product_prod_b_b > b > produc2112523263_b_b_b ).
thf(tp_produc1027169111od_b_b,type,
produc1027169111od_b_b: set_Product_prod_b_b > set_Product_prod_b_b > produc51693287od_b_b ).
thf(tp_produc1037687191od_b_b,type,
produc1037687191od_b_b: produc1133639312od_b_b > produc1133639312od_b_b > produc197046951od_b_b ).
thf(tp_produc1110849866_a_nat,type,
produc1110849866_a_nat: a > produc598811825_a_nat > produc1063300186_a_nat ).
thf(tp_produc1116925335od_b_b,type,
produc1116925335od_b_b: produc1614181008od_b_b > produc1133639312od_b_b > produc1114535079od_b_b ).
thf(tp_produc1257047359od_b_b,type,
produc1257047359od_b_b: b > product_prod_b_b > produc255402447od_b_b ).
thf(tp_produc1311571856_a_nat,type,
produc1311571856_a_nat: b > labeled_graph_a_nat > produc126142486_a_nat ).
thf(tp_produc1403229015od_b_b,type,
produc1403229015od_b_b: produc1168037607od_b_b > produc1168037607od_b_b > produc1921243879od_b_b ).
thf(tp_produc1403713879_set_b,type,
produc1403713879_set_b: set_b > set_b > produc150548199_set_b ).
thf(tp_produc1600512702_nat_b,type,
produc1600512702_nat_b: labeled_graph_a_nat > b > produc1248251020_nat_b ).
thf(tp_produc1645191821_a_nat,type,
produc1645191821_a_nat: produc1099860071_a_nat > produc1428649885_a_nat > produc588599965_a_nat ).
thf(tp_produc1767291095_a_nat,type,
produc1767291095_a_nat: set_Pr1912306449_a_nat > set_Pr1912306449_a_nat > produc1869574247_a_nat ).
thf(tp_produc1783652257_a_nat,type,
produc1783652257_a_nat: produc1168037607od_b_b > produc759315249_a_nat > produc1230257585_a_nat ).
thf(tp_produc179745357od_b_b,type,
produc179745357od_b_b: produc1063300186_a_nat > produc1133639312od_b_b > produc401211613od_b_b ).
thf(tp_produc1850071895od_b_b,type,
produc1850071895od_b_b: product_prod_b_b > produc1168037607od_b_b > produc1529836775od_b_b ).
thf(tp_produc1904940160_a_nat,type,
produc1904940160_a_nat: a > produc1099860071_a_nat > produc1942261264_a_nat ).
thf(tp_produc2000589545_a_nat,type,
produc2000589545_a_nat: labeled_graph_a_nat > labeled_graph_a_nat > produc598811825_a_nat ).
thf(tp_produc2092742640_a_nat,type,
produc2092742640_a_nat: labeled_graph_a_nat > produc598811825_a_nat > produc297983550_a_nat ).
thf(tp_produc2135284224od_b_b,type,
produc2135284224od_b_b: a > product_prod_b_b > produc1133639312od_b_b ).
thf(tp_produc255168265_a_nat,type,
produc255168265_a_nat: b > produc598811825_a_nat > produc207618585_a_nat ).
thf(tp_produc404908887_a_nat,type,
produc404908887_a_nat: produc1099860071_a_nat > produc1099860071_a_nat > produc1734972647_a_nat ).
thf(tp_produc410388695_a_nat,type,
produc410388695_a_nat: produc598811825_a_nat > produc598811825_a_nat > produc1099860071_a_nat ).
thf(tp_produc546497367od_b_b,type,
produc546497367od_b_b: product_prod_b_b > product_prod_b_b > produc1168037607od_b_b ).
thf(tp_produc639906189_a_nat,type,
produc639906189_a_nat: produc598811825_a_nat > produc1099860071_a_nat > produc1428649885_a_nat ).
thf(tp_produc690925568od_b_b,type,
produc690925568od_b_b: a > produc1168037607od_b_b > produc1614181008od_b_b ).
thf(tp_produc789452695od_b_b,type,
produc789452695od_b_b: produc1133639312od_b_b > produc1614181008od_b_b > produc1053464231od_b_b ).
thf(tp_produc797892631_a_nat,type,
produc797892631_a_nat: produc1133639312od_b_b > produc1942261264_a_nat > produc2106791463_a_nat ).
thf(tp_produc885982551od_b_b,type,
produc885982551od_b_b: produc1529836775od_b_b > produc1168037607od_b_b > produc300546791od_b_b ).
thf(tp_produc90796321_a_nat,type,
produc90796321_a_nat: product_prod_b_b > produc598811825_a_nat > produc759315249_a_nat ).
thf(tp_produc926922637od_b_b,type,
produc926922637od_b_b: produc759315249_a_nat > produc1168037607od_b_b > produc130774173od_b_b ).
thf(tp_produc962089303od_b_b,type,
produc962089303od_b_b: produc1168037607od_b_b > produc1529836775od_b_b > produc1554726631od_b_b ).
thf(tp_produc966067681_a_nat,type,
produc966067681_a_nat: produc1133639312od_b_b > produc1063300186_a_nat > produc776320369_a_nat ).
thf(tp_product_Pair_b_b,type,
product_Pair_b_b: b > b > product_prod_b_b ).
thf(tp_refl_o1018941609_a_nat,type,
refl_o1018941609_a_nat: set_la1108361502_a_nat > set_Pr1912306449_a_nat > $o ).
thf(tp_refl_o1899808198od_b_b,type,
refl_o1899808198od_b_b: set_se668355239od_b_b > set_Pr773647559od_b_b > $o ).
thf(tp_refl_o1941611494od_b_b,type,
refl_o1941611494od_b_b: set_Pr2007082183od_b_b > set_Pr454079687od_b_b > $o ).
thf(tp_refl_o206400048_a_nat,type,
refl_o206400048_a_nat: set_Pr1912306449_a_nat > set_Pr2074180935_a_nat > $o ).
thf(tp_refl_o2093460070_a_nat,type,
refl_o2093460070_a_nat: set_Pr2074180935_a_nat > set_Pr1370504391_a_nat > $o ).
thf(tp_refl_o2134473190od_b_b,type,
refl_o2134473190od_b_b: set_Product_prod_b_b > set_Pr2007082183od_b_b > $o ).
thf(tp_refl_o686103183od_b_b,type,
refl_o686103183od_b_b: set_Pr1900477680od_b_b > set_Pr963356295od_b_b > $o ).
thf(tp_refl_o730481808_a_nat,type,
refl_o730481808_a_nat: set_se480333169_a_nat > set_Pr1045675335_a_nat > $o ).
thf(tp_refl_on_b,type,
refl_on_b: set_b > set_Product_prod_b_b > $o ).
thf(tp_refl_on_set_b,type,
refl_on_set_b: set_set_b > set_Pr1463111367_set_b > $o ).
thf(tp_restri147273531_a_nat,type,
restri147273531_a_nat: labele1586099759_a_nat > labele1586099759_a_nat ).
thf(tp_restri1808752350_a_nat,type,
restri1808752350_a_nat: labele553847424_a_nat > labele553847424_a_nat ).
thf(tp_restri431340145od_b_b,type,
restri431340145od_b_b: labele488176869od_b_b > labele488176869od_b_b ).
thf(tp_restrict_a_b,type,
restrict_a_b: labeled_graph_a_b > labeled_graph_a_b ).
thf(tp_sK10_SY519,type,
sK10_SY519: produc1133639312od_b_b > b ).
thf(tp_sK11_SY382,type,
sK11_SY382: set_Product_prod_b_b > b ).
thf(tp_sK12_SY268,type,
sK12_SY268: product_prod_b_b > ( product_prod_b_b > $o ) > b ).
thf(tp_sK13_SY421,type,
sK13_SY421: set_Product_prod_b_b > set_b > b ).
thf(tp_sK14_SY274,type,
sK14_SY274: product_prod_b_b > ( product_prod_b_b > $o ) > b ).
thf(tp_sK15_SY425,type,
sK15_SY425: set_Product_prod_b_b > set_Product_prod_b_b > b ).
thf(tp_sK16_SY528,type,
sK16_SY528: produc1168037607od_b_b > b ).
thf(tp_sK17_SY439,type,
sK17_SY439: set_Product_prod_b_b > set_Product_prod_b_b > product_prod_b_b ).
thf(tp_sK18_SY307,type,
sK18_SY307: produc1133639312od_b_b > ( produc1133639312od_b_b > $o ) > a ).
thf(tp_sK19_SY533,type,
sK19_SY533: set_Product_prod_b_b > b ).
thf(tp_sK1_SY256,type,
sK1_SY256: product_prod_b_b > b ).
thf(tp_sK20_SY468,type,
sK20_SY468: set_Pr2007082183od_b_b > set_Product_prod_b_b > product_prod_b_b ).
thf(tp_sK21_SY357,type,
sK21_SY357: produc1168037607od_b_b > ( produc1168037607od_b_b > $o ) > product_prod_b_b ).
thf(tp_sK22_SY536,type,
sK22_SY536: produc1133639312od_b_b > b ).
thf(tp_sK23_SY537,type,
sK23_SY537: set_Product_prod_b_b > b ).
thf(tp_sK24_SY248,type,
sK24_SY248: set_Product_prod_b_b > product_prod_b_b ).
thf(tp_sK25_SY411,type,
sK25_SY411: product_prod_b_b > set_b > b ).
thf(tp_sK26_SY539,type,
sK26_SY539: product_prod_b_b > ( product_prod_b_b > $o ) > b ).
thf(tp_sK27_SY540,type,
sK27_SY540: set_b > set_Product_prod_b_b > b ).
thf(tp_sK28_SY541,type,
sK28_SY541: product_prod_b_b > ( product_prod_b_b > $o ) > b ).
thf(tp_sK29_SY542,type,
sK29_SY542: set_Product_prod_b_b > set_Product_prod_b_b > b ).
thf(tp_sK2_SY293,type,
sK2_SY293: produc1168037607od_b_b > product_prod_b_b ).
thf(tp_sK30_SY543,type,
sK30_SY543: produc1133639312od_b_b > ( produc1133639312od_b_b > $o ) > b ).
thf(tp_sK31_SY449,type,
sK31_SY449: produc1168037607od_b_b > set_Product_prod_b_b > product_prod_b_b ).
thf(tp_sK32_SY513,type,
sK32_SY513: product_prod_b_b > b ).
thf(tp_sK33_SY545,type,
sK33_SY545: set_Product_prod_b_b > b ).
thf(tp_sK34_SY546,type,
sK34_SY546: set_Product_prod_b_b > set_Pr2007082183od_b_b > product_prod_b_b ).
thf(tp_sK35_SY547,type,
sK35_SY547: produc1168037607od_b_b > ( produc1168037607od_b_b > $o ) > b ).
thf(tp_sK36_SY493,type,
sK36_SY493: product_prod_b_b > set_Product_prod_b_b > set_Product_prod_b_b ).
thf(tp_sK37_SY496,type,
sK37_SY496: product_prod_b_b > set_Product_prod_b_b > set_Product_prod_b_b ).
thf(tp_sK38_SY416,type,
sK38_SY416: set_Product_prod_b_b > b ).
thf(tp_sK39_SY440,type,
sK39_SY440: set_Product_prod_b_b > b ).
thf(tp_sK3_SY337,type,
sK3_SY337: product_prod_b_b > b ).
thf(tp_sK40_SY549,type,
sK40_SY549: produc1133639312od_b_b > ( produc1133639312od_b_b > $o ) > b ).
thf(tp_sK41_SY550,type,
sK41_SY550: produc1168037607od_b_b > ( produc1168037607od_b_b > $o ) > b ).
thf(tp_sK42_SY373,type,
sK42_SY373: set_Product_prod_b_b > product_prod_b_b ).
thf(tp_sK43_SY551,type,
sK43_SY551: set_Product_prod_b_b > b ).
thf(tp_sK44_SY553,type,
sK44_SY553: set_Product_prod_b_b > b ).
thf(tp_sK45_SY555,type,
sK45_SY555: set_Product_prod_b_b > product_prod_b_b ).
thf(tp_sK46_SY556,type,
sK46_SY556: set_Product_prod_b_b > b ).
thf(tp_sK47_SY529,type,
sK47_SY529: set_Product_prod_b_b > set_Product_prod_b_b > product_prod_b_b ).
thf(tp_sK48_SY530,type,
sK48_SY530: set_Product_prod_b_b > set_Product_prod_b_b > product_prod_b_b ).
thf(tp_sK49_SY531,type,
sK49_SY531: set_Product_prod_b_b > set_b > b ).
thf(tp_sK4_SY377,type,
sK4_SY377: produc1133639312od_b_b > a ).
thf(tp_sK50_SY329,type,
sK50_SY329: set_Product_prod_b_b > product_prod_b_b ).
thf(tp_sK51_SY557,type,
sK51_SY557: set_Product_prod_b_b > set_b > b ).
thf(tp_sK52_SY329,type,
sK52_SY329: product_prod_b_b > set_Product_prod_b_b > product_prod_b_b ).
thf(tp_sK53_SY538,type,
sK53_SY538: product_prod_b_b > set_Product_prod_b_b > product_prod_b_b > set_Product_prod_b_b > set_Product_prod_b_b ).
thf(tp_sK54_SY538,type,
sK54_SY538: product_prod_b_b > set_Product_prod_b_b > product_prod_b_b > set_Product_prod_b_b > set_Product_prod_b_b ).
thf(tp_sK55_SY538,type,
sK55_SY538: product_prod_b_b > set_Product_prod_b_b > product_prod_b_b > set_Product_prod_b_b > set_Product_prod_b_b ).
thf(tp_sK56_SY538,type,
sK56_SY538: set_Product_prod_b_b > product_prod_b_b > set_Product_prod_b_b > product_prod_b_b > set_Product_prod_b_b > set_Product_prod_b_b ).
thf(tp_sK57_SY538,type,
sK57_SY538: set_Product_prod_b_b > product_prod_b_b > set_Product_prod_b_b > product_prod_b_b > set_Product_prod_b_b > set_Product_prod_b_b ).
thf(tp_sK5_SY497,type,
sK5_SY497: product_prod_b_b > b ).
thf(tp_sK6_SY503,type,
sK6_SY503: produc1168037607od_b_b > b ).
thf(tp_sK7_SY349,type,
sK7_SY349: set_Product_prod_b_b > b ).
thf(tp_sK8_SY375,type,
sK8_SY375: set_Product_prod_b_b > product_prod_b_b ).
thf(tp_sK9_SY376,type,
sK9_SY376: set_Product_prod_b_b > product_prod_b_b ).
thf(tp_same_fst_b_b,type,
same_fst_b_b: ( b > $o ) > ( b > set_Product_prod_b_b ) > set_Pr2007082183od_b_b ).
thf(tp_semantics_a_b,type,
semantics_a_b: labeled_graph_a_b > allegorical_term_a > set_Product_prod_b_b ).
thf(tp_standa1329480012rule_a,type,
standa1329480012rule_a: a > produc598811825_a_nat ).
thf(tp_standa390703484rule_a,type,
standa390703484rule_a: a > produc598811825_a_nat ).
thf(tp_standa414753934rule_a,type,
standa414753934rule_a: a > a > produc598811825_a_nat ).
thf(tp_standa709637829rule_a,type,
standa709637829rule_a: a > produc598811825_a_nat ).
thf(tp_standa879863265rule_a,type,
standa879863265rule_a: produc598811825_a_nat ).
thf(tp_sym_b,type,
sym_b: set_Product_prod_b_b > $o ).
thf(tp_the_el537460006_a_nat,type,
the_el537460006_a_nat: set_Pr1912306449_a_nat > produc598811825_a_nat ).
thf(tp_total_178717291od_b_b,type,
total_178717291od_b_b: set_Product_prod_b_b > set_Pr2007082183od_b_b > $o ).
thf(tp_total_2145009205_a_nat,type,
total_2145009205_a_nat: set_Pr1912306449_a_nat > set_Pr2074180935_a_nat > $o ).
thf(tp_total_6094180_a_nat,type,
total_6094180_a_nat: set_la1108361502_a_nat > set_Pr1912306449_a_nat > $o ).
thf(tp_total_on_b,type,
total_on_b: set_b > set_Product_prod_b_b > $o ).
thf(tp_trans_1002055497_a_nat,type,
trans_1002055497_a_nat: set_Pr1912306449_a_nat > $o ).
thf(tp_trans_1808857926od_b_b,type,
trans_1808857926od_b_b: set_Pr2007082183od_b_b > $o ).
thf(tp_trans_444496784_a_nat,type,
trans_444496784_a_nat: set_Pr2074180935_a_nat > $o ).
thf(tp_trans_b,type,
trans_b: set_Product_prod_b_b > $o ).
thf(tp_y,type,
y: b ).
thf(tp_z,type,
z: b ).
thf(14,axiom,
! [A4: set_Product_prod_b_b] :
( ! [X3: product_prod_b_b] :
~ ( member1285940496od_b_b @ X3 @ A4 )
=> ( ord_le1036320359od_b_b @ A4 @ bot_bo1343651123od_b_b ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_341_subset__emptyI) ).
thf(15,axiom,
! [R2: b,S: b,R: set_Product_prod_b_b,S2: b] :
( ( member1285940496od_b_b @ ( product_Pair_b_b @ R2 @ S ) @ R )
=> ( ( S2 = S )
=> ( member1285940496od_b_b @ ( product_Pair_b_b @ R2 @ S2 ) @ R ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_340_ssubst__Pair__rhs) ).
thf(16,axiom,
! [X4: product_prod_b_b,A4: set_Product_prod_b_b,X6: set_Product_prod_b_b] :
( ( member1285940496od_b_b @ X4 @ A4 )
=> ( ( ord_le1036320359od_b_b @ X6 @ A4 )
=> ( ord_le1036320359od_b_b @ ( insert1952693431od_b_b @ X4 @ X6 ) @ A4 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_339_insert__subsetI) ).
thf(30,axiom,
! [A4: set_Product_prod_b_b,B4: set_Product_prod_b_b,X4: product_prod_b_b] :
( ( ord_le1036320359od_b_b @ A4 @ B4 )
=> ( ( member1285940496od_b_b @ X4 @ A4 )
=> ( member1285940496od_b_b @ X4 @ B4 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_325_in__mono) ).
thf(31,axiom,
! [A4: set_Product_prod_b_b,B4: set_Product_prod_b_b,C2: product_prod_b_b] :
( ( ord_le1036320359od_b_b @ A4 @ B4 )
=> ( ( member1285940496od_b_b @ C2 @ A4 )
=> ( member1285940496od_b_b @ C2 @ B4 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_324_subsetD) ).
thf(32,axiom,
( ord_le1036320359od_b_b
= ( ^ [A5: set_Product_prod_b_b,B6: set_Product_prod_b_b] :
! [X5: product_prod_b_b] :
( ( member1285940496od_b_b @ X5 @ A5 )
=> ( member1285940496od_b_b @ X5 @ B6 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_323_subset__eq) ).
thf(33,axiom,
( ord_le1036320359od_b_b
= ( ^ [A5: set_Product_prod_b_b,B6: set_Product_prod_b_b] :
! [T: product_prod_b_b] :
( ( member1285940496od_b_b @ T @ A5 )
=> ( member1285940496od_b_b @ T @ B6 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_322_subset__iff) ).
thf(38,axiom,
! [X4: product_prod_b_b,A4: set_Product_prod_b_b,B4: set_Product_prod_b_b] :
( ~ ( member1285940496od_b_b @ X4 @ A4 )
=> ( ( ord_le1036320359od_b_b @ A4 @ ( insert1952693431od_b_b @ X4 @ B4 ) )
= ( ord_le1036320359od_b_b @ A4 @ B4 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_317_subset__insert) ).
thf(41,axiom,
! [R2: set_Product_prod_b_b,S: set_Product_prod_b_b] :
( ! [X3: b,Y3: b] :
( ( member1285940496od_b_b @ ( product_Pair_b_b @ X3 @ Y3 ) @ R2 )
=> ( member1285940496od_b_b @ ( product_Pair_b_b @ X3 @ Y3 ) @ S ) )
=> ( ord_le1036320359od_b_b @ R2 @ S ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_314_subrelI) ).
thf(45,axiom,
! [X4: b,Y4: b,A4: set_b] :
( ( member1285940496od_b_b @ ( product_Pair_b_b @ X4 @ Y4 ) @ ( id_on_b @ A4 ) )
= ( ( X4 = Y4 )
& ( member_b @ X4 @ A4 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_310_Id__on__iff) ).
thf(46,axiom,
! [X4: product_prod_b_b,Y4: product_prod_b_b,A4: set_Product_prod_b_b] :
( ( member1652792080od_b_b @ ( produc546497367od_b_b @ X4 @ Y4 ) @ ( id_on_2019020932od_b_b @ A4 ) )
= ( ( X4 = Y4 )
& ( member1285940496od_b_b @ X4 @ A4 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_309_Id__on__iff) ).
thf(47,axiom,
! [A: b,B: b,A4: set_b] :
( ( A = B )
=> ( ( member_b @ A @ A4 )
=> ( member1285940496od_b_b @ ( product_Pair_b_b @ A @ B ) @ ( id_on_b @ A4 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_308_Id__on__eqI) ).
thf(48,axiom,
! [A: product_prod_b_b,B: product_prod_b_b,A4: set_Product_prod_b_b] :
( ( A = B )
=> ( ( member1285940496od_b_b @ A @ A4 )
=> ( member1652792080od_b_b @ ( produc546497367od_b_b @ A @ B ) @ ( id_on_2019020932od_b_b @ A4 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_307_Id__on__eqI) ).
thf(49,axiom,
! [C2: product_prod_b_b,A4: set_b] :
( ( member1285940496od_b_b @ C2 @ ( id_on_b @ A4 ) )
=> ~ ! [X3: b] :
( ( member_b @ X3 @ A4 )
=> ( C2
!= ( product_Pair_b_b @ X3 @ X3 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_306_Id__onE) ).
thf(50,axiom,
! [C2: produc1168037607od_b_b,A4: set_Product_prod_b_b] :
( ( member1652792080od_b_b @ C2 @ ( id_on_2019020932od_b_b @ A4 ) )
=> ~ ! [X3: product_prod_b_b] :
( ( member1285940496od_b_b @ X3 @ A4 )
=> ( C2
!= ( produc546497367od_b_b @ X3 @ X3 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_305_Id__onE) ).
thf(59,axiom,
! [A: b,A4: set_b] :
( ( member_b @ A @ A4 )
=> ( member1285940496od_b_b @ ( product_Pair_b_b @ A @ A ) @ ( id_on_b @ A4 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_296_Id__onI) ).
thf(60,axiom,
! [A: product_prod_b_b,A4: set_Product_prod_b_b] :
( ( member1285940496od_b_b @ A @ A4 )
=> ( member1652792080od_b_b @ ( produc546497367od_b_b @ A @ A ) @ ( id_on_2019020932od_b_b @ A4 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_295_Id__onI) ).
thf(61,axiom,
! [X4: product_prod_b_b,A4: set_Product_prod_b_b,B4: set_Product_prod_b_b] :
( ( ord_le1036320359od_b_b @ ( insert1952693431od_b_b @ X4 @ A4 ) @ B4 )
= ( ( member1285940496od_b_b @ X4 @ B4 )
& ( ord_le1036320359od_b_b @ A4 @ B4 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_294_insert__subset) ).
thf(65,axiom,
! [A4: set_Product_prod_b_b,B4: set_Product_prod_b_b] :
( ! [X3: product_prod_b_b] :
( ( member1285940496od_b_b @ X3 @ A4 )
=> ( member1285940496od_b_b @ X3 @ B4 ) )
=> ( ord_le1036320359od_b_b @ A4 @ B4 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_290_subsetI) ).
thf(66,axiom,
! [Y4: b,Z: b,L: a,G: labeled_graph_a_b,G2: labeled_graph_a_b] :
( ( member1285940496od_b_b @ ( product_Pair_b_b @ Y4 @ Z ) @ ( getRel_a_b @ L @ G ) )
=> ( ( graph_1322245399_a_b_b @ G @ G2 @ ( id_on_b @ ( labeled_vertices_a_b @ G ) ) )
=> ( member1285940496od_b_b @ ( product_Pair_b_b @ Y4 @ Z ) @ ( getRel_a_b @ L @ G2 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_289_getRel__subgraph) ).
thf(67,axiom,
! [P2: b > $o,X4: b,Y7: b,Y4: b,R: b > set_Product_prod_b_b] :
( ( P2 @ X4 )
=> ( ( member1285940496od_b_b @ ( product_Pair_b_b @ Y7 @ Y4 ) @ ( R @ X4 ) )
=> ( member1652792080od_b_b @ ( produc546497367od_b_b @ ( product_Pair_b_b @ X4 @ Y7 ) @ ( product_Pair_b_b @ X4 @ Y4 ) ) @ ( same_fst_b_b @ P2 @ R ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_288_same__fstI) ).
thf(97,axiom,
! [A4: set_Product_prod_b_b] :
( ( A4 != bot_bo1343651123od_b_b )
=> ( ! [X3: product_prod_b_b,Y3: product_prod_b_b] :
( ( member1285940496od_b_b @ X3 @ A4 )
=> ( ( member1285940496od_b_b @ Y3 @ A4 )
=> ( X3 = Y3 ) ) )
=> ( is_sin1713057243od_b_b @ A4 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_258_is__singletonI_H) ).
thf(101,axiom,
! [A4: set_b,R2: set_Product_prod_b_b] :
( ! [X3: b,Y3: b] :
( ( member_b @ X3 @ A4 )
=> ( ( member_b @ Y3 @ A4 )
=> ( ( X3 != Y3 )
=> ( ( member1285940496od_b_b @ ( product_Pair_b_b @ X3 @ Y3 ) @ R2 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ Y3 @ X3 ) @ R2 ) ) ) ) )
=> ( total_on_b @ A4 @ R2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_254_total__onI) ).
thf(102,axiom,
! [A4: set_Product_prod_b_b,R2: set_Pr2007082183od_b_b] :
( ! [X3: product_prod_b_b,Y3: product_prod_b_b] :
( ( member1285940496od_b_b @ X3 @ A4 )
=> ( ( member1285940496od_b_b @ Y3 @ A4 )
=> ( ( X3 != Y3 )
=> ( ( member1652792080od_b_b @ ( produc546497367od_b_b @ X3 @ Y3 ) @ R2 )
| ( member1652792080od_b_b @ ( produc546497367od_b_b @ Y3 @ X3 ) @ R2 ) ) ) ) )
=> ( total_178717291od_b_b @ A4 @ R2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_253_total__onI) ).
thf(103,axiom,
( total_on_b
= ( ^ [A5: set_b,R3: set_Product_prod_b_b] :
! [X5: b] :
( ( member_b @ X5 @ A5 )
=> ! [Y5: b] :
( ( member_b @ Y5 @ A5 )
=> ( ( X5 != Y5 )
=> ( ( member1285940496od_b_b @ ( product_Pair_b_b @ X5 @ Y5 ) @ R3 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ Y5 @ X5 ) @ R3 ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_252_total__on__def) ).
thf(104,axiom,
! [R2: set_Product_prod_b_b,B: b,A: b] :
( ( sym_b @ R2 )
=> ( ( member1285940496od_b_b @ ( product_Pair_b_b @ B @ A ) @ R2 )
=> ( member1285940496od_b_b @ ( product_Pair_b_b @ A @ B ) @ R2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_251_symD) ).
thf(105,axiom,
! [R2: set_Product_prod_b_b,B: b,A: b] :
( ( sym_b @ R2 )
=> ( ( member1285940496od_b_b @ ( product_Pair_b_b @ B @ A ) @ R2 )
=> ( member1285940496od_b_b @ ( product_Pair_b_b @ A @ B ) @ R2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_250_symE) ).
thf(106,axiom,
! [R2: set_Product_prod_b_b] :
( ! [A3: b,B3: b] :
( ( member1285940496od_b_b @ ( product_Pair_b_b @ A3 @ B3 ) @ R2 )
=> ( member1285940496od_b_b @ ( product_Pair_b_b @ B3 @ A3 ) @ R2 ) )
=> ( sym_b @ R2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_249_symI) ).
thf(107,axiom,
( sym_b
= ( ^ [R3: set_Product_prod_b_b] :
! [X5: b,Y5: b] :
( ( member1285940496od_b_b @ ( product_Pair_b_b @ X5 @ Y5 ) @ R3 )
=> ( member1285940496od_b_b @ ( product_Pair_b_b @ Y5 @ X5 ) @ R3 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_248_sym__def) ).
thf(110,axiom,
( bot_bo1302443370_b_b_o
= ( ^ [X5: product_prod_b_b] : ( member1285940496od_b_b @ X5 @ bot_bo1343651123od_b_b ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_245_bot__empty__eq) ).
thf(123,axiom,
! [B: product_prod_b_b,A: product_prod_b_b] :
( ( member1285940496od_b_b @ B @ ( insert1952693431od_b_b @ A @ bot_bo1343651123od_b_b ) )
=> ( B = A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_232_singletonD) ).
thf(125,axiom,
! [B: product_prod_b_b,A: product_prod_b_b] :
( ( member1285940496od_b_b @ B @ ( insert1952693431od_b_b @ A @ bot_bo1343651123od_b_b ) )
= ( B = A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_230_singleton__iff) ).
thf(129,axiom,
! [A: product_prod_b_b,B: product_prod_b_b,A4: set_Product_prod_b_b] :
( ( member1285940496od_b_b @ A @ ( insert1952693431od_b_b @ B @ A4 ) )
=> ( ( A != B )
=> ( member1285940496od_b_b @ A @ A4 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_226_insertE) ).
thf(131,axiom,
! [A: product_prod_b_b,B4: set_Product_prod_b_b] : ( member1285940496od_b_b @ A @ ( insert1952693431od_b_b @ A @ B4 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_224_insertI1) ).
thf(133,axiom,
! [A: product_prod_b_b,B4: set_Product_prod_b_b,B: product_prod_b_b] :
( ( member1285940496od_b_b @ A @ B4 )
=> ( member1285940496od_b_b @ A @ ( insert1952693431od_b_b @ B @ B4 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_222_insertI2) ).
thf(135,axiom,
! [X4: product_prod_b_b,A4: set_Product_prod_b_b] :
( ( member1285940496od_b_b @ X4 @ A4 )
=> ~ ! [B5: set_Product_prod_b_b] :
( ( A4
= ( insert1952693431od_b_b @ X4 @ B5 ) )
=> ( member1285940496od_b_b @ X4 @ B5 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_220_Set_Oset__insert) ).
thf(137,axiom,
! [X4: product_prod_b_b,A4: set_Product_prod_b_b,B4: set_Product_prod_b_b] :
( ~ ( member1285940496od_b_b @ X4 @ A4 )
=> ( ~ ( member1285940496od_b_b @ X4 @ B4 )
=> ( ( ( insert1952693431od_b_b @ X4 @ A4 )
= ( insert1952693431od_b_b @ X4 @ B4 ) )
= ( A4 = B4 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_218_insert__ident) ).
thf(139,axiom,
! [A: product_prod_b_b,A4: set_Product_prod_b_b] :
( ( member1285940496od_b_b @ A @ A4 )
=> ( ( insert1952693431od_b_b @ A @ A4 )
= A4 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_216_insert__absorb) ).
thf(141,axiom,
! [A: product_prod_b_b,A4: set_Product_prod_b_b,B: product_prod_b_b,B4: set_Product_prod_b_b] :
( ~ ( member1285940496od_b_b @ A @ A4 )
=> ( ~ ( member1285940496od_b_b @ B @ B4 )
=> ( ( ( insert1952693431od_b_b @ A @ A4 )
= ( insert1952693431od_b_b @ B @ B4 ) )
= ( ( ( A = B )
=> ( A4 = B4 ) )
& ( ( A != B )
=> ? [C3: set_Product_prod_b_b] :
( ( A4
= ( insert1952693431od_b_b @ B @ C3 ) )
& ~ ( member1285940496od_b_b @ B @ C3 )
& ( B4
= ( insert1952693431od_b_b @ A @ C3 ) )
& ~ ( member1285940496od_b_b @ A @ C3 ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_214_insert__eq__iff) ).
thf(144,axiom,
! [A: product_prod_b_b,A4: set_Product_prod_b_b] :
( ( member1285940496od_b_b @ A @ A4 )
=> ? [B5: set_Product_prod_b_b] :
( ( A4
= ( insert1952693431od_b_b @ A @ B5 ) )
& ~ ( member1285940496od_b_b @ A @ B5 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_211_mk__disjoint__insert) ).
thf(147,axiom,
! [A: product_prod_b_b] :
~ ( member1285940496od_b_b @ A @ bot_bo1343651123od_b_b ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_208_emptyE) ).
thf(149,axiom,
! [A4: set_Product_prod_b_b,A: product_prod_b_b] :
( ( A4 = bot_bo1343651123od_b_b )
=> ~ ( member1285940496od_b_b @ A @ A4 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_206_equals0D) ).
thf(151,axiom,
! [A4: set_Product_prod_b_b] :
( ! [Y3: product_prod_b_b] :
~ ( member1285940496od_b_b @ Y3 @ A4 )
=> ( A4 = bot_bo1343651123od_b_b ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_204_equals0I) ).
thf(153,axiom,
! [A4: set_Product_prod_b_b] :
( ( ? [X5: product_prod_b_b] : ( member1285940496od_b_b @ X5 @ A4 ) )
= ( A4 != bot_bo1343651123od_b_b ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_202_ex__in__conv) ).
thf(157,axiom,
! [A4: set_Product_prod_b_b] :
( ( ! [X5: product_prod_b_b] :
~ ( member1285940496od_b_b @ X5 @ A4 ) )
= ( A4 = bot_bo1343651123od_b_b ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_198_all__not__in__conv) ).
thf(159,axiom,
! [C2: product_prod_b_b] :
~ ( member1285940496od_b_b @ C2 @ bot_bo1343651123od_b_b ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_196_empty__iff) ).
thf(161,axiom,
! [A: product_prod_b_b,B: product_prod_b_b,A4: set_Product_prod_b_b] :
( ( member1285940496od_b_b @ A @ ( insert1952693431od_b_b @ B @ A4 ) )
= ( ( A = B )
| ( member1285940496od_b_b @ A @ A4 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_194_insert__iff) ).
thf(163,axiom,
! [A: product_prod_b_b,B4: set_Product_prod_b_b,B: product_prod_b_b] :
( ( ~ ( member1285940496od_b_b @ A @ B4 )
=> ( A = B ) )
=> ( member1285940496od_b_b @ A @ ( insert1952693431od_b_b @ B @ B4 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_192_insertCI) ).
thf(167,axiom,
! [A: product_prod_b_b] : ( member1285940496od_b_b @ A @ ( insert1952693431od_b_b @ A @ bot_bo1343651123od_b_b ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_188_singletonI) ).
thf(189,axiom,
! [A: b] : ( trans_b @ ( insert1952693431od_b_b @ ( product_Pair_b_b @ A @ A ) @ bot_bo1343651123od_b_b ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_166_trans__singleton) ).
thf(214,axiom,
! [A4: set_Product_prod_b_b] :
( ( collec1481886546od_b_b
@ ^ [X5: product_prod_b_b] : ( member1285940496od_b_b @ X5 @ A4 ) )
= A4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_141_Collect__mem__eq) ).
thf(221,axiom,
! [A: product_prod_b_b,P2: product_prod_b_b > $o] :
( ( member1285940496od_b_b @ A @ ( collec1481886546od_b_b @ P2 ) )
= ( P2 @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_134_mem__Collect__eq) ).
thf(251,axiom,
! [A4: set_b,R2: set_Product_prod_b_b,X4: b,Y4: b] :
( ( refl_on_b @ A4 @ R2 )
=> ( ( member1285940496od_b_b @ ( product_Pair_b_b @ X4 @ Y4 ) @ R2 )
=> ( member_b @ X4 @ A4 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_104_refl__onD1) ).
thf(252,axiom,
! [A4: set_Product_prod_b_b,R2: set_Pr2007082183od_b_b,X4: product_prod_b_b,Y4: product_prod_b_b] :
( ( refl_o2134473190od_b_b @ A4 @ R2 )
=> ( ( member1652792080od_b_b @ ( produc546497367od_b_b @ X4 @ Y4 ) @ R2 )
=> ( member1285940496od_b_b @ X4 @ A4 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_103_refl__onD1) ).
thf(259,axiom,
! [A4: set_b,R2: set_Product_prod_b_b,A: b] :
( ( refl_on_b @ A4 @ R2 )
=> ( ( member_b @ A @ A4 )
=> ( member1285940496od_b_b @ ( product_Pair_b_b @ A @ A ) @ R2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_96_refl__onD) ).
thf(260,axiom,
! [A4: set_Product_prod_b_b,R2: set_Pr2007082183od_b_b,A: product_prod_b_b] :
( ( refl_o2134473190od_b_b @ A4 @ R2 )
=> ( ( member1285940496od_b_b @ A @ A4 )
=> ( member1652792080od_b_b @ ( produc546497367od_b_b @ A @ A ) @ R2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_95_refl__onD) ).
thf(267,axiom,
( trans_b
= ( ^ [R3: set_Product_prod_b_b] :
! [X5: b,Y5: b,Z3: b] :
( ( member1285940496od_b_b @ ( product_Pair_b_b @ X5 @ Y5 ) @ R3 )
=> ( ( member1285940496od_b_b @ ( product_Pair_b_b @ Y5 @ Z3 ) @ R3 )
=> ( member1285940496od_b_b @ ( product_Pair_b_b @ X5 @ Z3 ) @ R3 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_88_Relation_Otrans__def) ).
thf(271,axiom,
! [R2: set_Product_prod_b_b] :
( ! [X3: b,Y3: b,Z2: b] :
( ( member1285940496od_b_b @ ( product_Pair_b_b @ X3 @ Y3 ) @ R2 )
=> ( ( member1285940496od_b_b @ ( product_Pair_b_b @ Y3 @ Z2 ) @ R2 )
=> ( member1285940496od_b_b @ ( product_Pair_b_b @ X3 @ Z2 ) @ R2 ) ) )
=> ( trans_b @ R2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_84_transI) ).
thf(275,axiom,
! [R2: set_Product_prod_b_b,X4: b,Y4: b,Z: b] :
( ( trans_b @ R2 )
=> ( ( member1285940496od_b_b @ ( product_Pair_b_b @ X4 @ Y4 ) @ R2 )
=> ( ( member1285940496od_b_b @ ( product_Pair_b_b @ Y4 @ Z ) @ R2 )
=> ( member1285940496od_b_b @ ( product_Pair_b_b @ X4 @ Z ) @ R2 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_80_transE) ).
thf(279,axiom,
! [R2: set_Product_prod_b_b,X4: b,Y4: b,Z: b] :
( ( trans_b @ R2 )
=> ( ( member1285940496od_b_b @ ( product_Pair_b_b @ X4 @ Y4 ) @ R2 )
=> ( ( member1285940496od_b_b @ ( product_Pair_b_b @ Y4 @ Z ) @ R2 )
=> ( member1285940496od_b_b @ ( product_Pair_b_b @ X4 @ Z ) @ R2 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_76_transD) ).
thf(283,axiom,
! [A4: set_b,R2: set_Product_prod_b_b,X4: b,Y4: b] :
( ( refl_on_b @ A4 @ R2 )
=> ( ( member1285940496od_b_b @ ( product_Pair_b_b @ X4 @ Y4 ) @ R2 )
=> ( member_b @ Y4 @ A4 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_72_refl__onD2) ).
thf(284,axiom,
! [A4: set_Product_prod_b_b,R2: set_Pr2007082183od_b_b,X4: product_prod_b_b,Y4: product_prod_b_b] :
( ( refl_o2134473190od_b_b @ A4 @ R2 )
=> ( ( member1652792080od_b_b @ ( produc546497367od_b_b @ X4 @ Y4 ) @ R2 )
=> ( member1285940496od_b_b @ Y4 @ A4 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_71_refl__onD2) ).
thf(291,axiom,
! [A4: set_b,R2: set_Product_prod_b_b,A: b,B: b] :
( ( refl_on_b @ A4 @ R2 )
=> ( ( member1285940496od_b_b @ ( product_Pair_b_b @ A @ B ) @ R2 )
=> ( ( member_b @ A @ A4 )
& ( member_b @ B @ A4 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_64_refl__on__domain) ).
thf(292,axiom,
! [A4: set_Product_prod_b_b,R2: set_Pr2007082183od_b_b,A: product_prod_b_b,B: product_prod_b_b] :
( ( refl_o2134473190od_b_b @ A4 @ R2 )
=> ( ( member1652792080od_b_b @ ( produc546497367od_b_b @ A @ B ) @ R2 )
=> ( ( member1285940496od_b_b @ A @ A4 )
& ( member1285940496od_b_b @ B @ A4 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_63_refl__on__domain) ).
thf(307,axiom,
! [G: labeled_graph_a_b,A: b,B: b,L: a] :
( ( G
= ( restrict_a_b @ G ) )
=> ( ( member1285940496od_b_b @ ( product_Pair_b_b @ A @ B ) @ ( getRel_a_b @ L @ G ) )
=> ( member_b @ B @ ( labeled_vertices_a_b @ G ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_48_getRel__dom_I2_J) ).
thf(308,axiom,
! [G: labeled_graph_a_b,A: b,B: b,L: a] :
( ( G
= ( restrict_a_b @ G ) )
=> ( ( member1285940496od_b_b @ ( product_Pair_b_b @ A @ B ) @ ( getRel_a_b @ L @ G ) )
=> ( member_b @ A @ ( labeled_vertices_a_b @ G ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_47_getRel__dom_I1_J) ).
thf(310,axiom,
! [P2: produc1133639312od_b_b > $o,X4: produc1133639312od_b_b] :
( ! [A3: a,B3: b,C: b] : ( P2 @ ( produc2135284224od_b_b @ A3 @ ( product_Pair_b_b @ B3 @ C ) ) )
=> ( P2 @ X4 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_45_prod__induct3) ).
thf(312,axiom,
! [P2: produc1168037607od_b_b > $o,X4: produc1168037607od_b_b] :
( ! [A3: product_prod_b_b,B3: b,C: b] : ( P2 @ ( produc546497367od_b_b @ A3 @ ( product_Pair_b_b @ B3 @ C ) ) )
=> ( P2 @ X4 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_43_prod__induct3) ).
thf(313,axiom,
! [Y4: product_prod_b_b] :
~ ! [A3: b,B3: b] :
( Y4
!= ( product_Pair_b_b @ A3 @ B3 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_42_old_Oprod_Oexhaust) ).
thf(318,axiom,
! [P2: product_prod_b_b > $o,Prod: product_prod_b_b] :
( ! [A3: b,B3: b] : ( P2 @ ( product_Pair_b_b @ A3 @ B3 ) )
=> ( P2 @ Prod ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_37_old_Oprod_Oinducts) ).
thf(323,axiom,
! [Y4: produc1133639312od_b_b] :
~ ! [A3: a,B3: b,C: b] :
( Y4
!= ( produc2135284224od_b_b @ A3 @ ( product_Pair_b_b @ B3 @ C ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_32_prod__cases3) ).
thf(325,axiom,
! [Y4: produc1168037607od_b_b] :
~ ! [A3: product_prod_b_b,B3: b,C: b] :
( Y4
!= ( produc546497367od_b_b @ A3 @ ( product_Pair_b_b @ B3 @ C ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_30_prod__cases3) ).
thf(326,axiom,
! [A: b,B: b,A2: b,B2: b] :
( ( ( product_Pair_b_b @ A @ B )
= ( product_Pair_b_b @ A2 @ B2 ) )
=> ~ ( ( A = A2 )
=> ( B != B2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_29_Pair__inject) ).
thf(331,axiom,
! [P2: product_prod_b_b > $o,P: product_prod_b_b] :
( ! [A3: b,B3: b] : ( P2 @ ( product_Pair_b_b @ A3 @ B3 ) )
=> ( P2 @ P ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_24_prod__cases) ).
thf(336,axiom,
! [P: product_prod_b_b] :
? [X3: b,Y3: b] :
( P
= ( product_Pair_b_b @ X3 @ Y3 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_19_surj__pair) ).
thf(341,axiom,
! [A: b,B: b,A2: b,B2: b] :
( ( ( product_Pair_b_b @ A @ B )
= ( product_Pair_b_b @ A2 @ B2 ) )
= ( ( A = A2 )
& ( B = B2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_14_old_Oprod_Oinject) ).
thf(346,axiom,
! [X1: b,X2: b,Y1: b,Y2: b] :
( ( ( product_Pair_b_b @ X1 @ X2 )
= ( product_Pair_b_b @ Y1 @ Y2 ) )
= ( ( X1 = Y1 )
& ( X2 = Y2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_9_prod_Oinject) ).
thf(351,axiom,
equiv_equiv_b @ ( labeled_vertices_a_b @ g ) @ ( getRel_a_b @ i @ g ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4_eq) ).
thf(352,axiom,
maintained_a_nat_b @ ( standa414753934rule_a @ i @ l ) @ g,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3_m) ).
thf(353,axiom,
( g
= ( restrict_a_b @ g ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2_g) ).
thf(354,axiom,
member1285940496od_b_b @ ( product_Pair_b_b @ y @ z ) @ ( getRel_a_b @ i @ g ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1_aI) ).
thf(355,axiom,
( ( refl_on_b @ ( labeled_vertices_a_b @ g ) @ ( getRel_a_b @ i @ g ) )
& ! [X: b,Y: b] :
( ( member1285940496od_b_b @ ( product_Pair_b_b @ X @ Y ) @ ( getRel_a_b @ i @ g ) )
=> ( member1285940496od_b_b @ ( product_Pair_b_b @ Y @ X ) @ ( getRel_a_b @ i @ g ) ) )
& ( trans_b @ ( getRel_a_b @ i @ g ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0__092_060open_062refl__on_A_Ivertices_AG_J_A_IgetRel_AI_AG_J_A_092_060and_062_A_I_092_060forall_062x_Ay_O_A_Ix_M_Ay_J_A_092_060in_062_AgetRel_AI_AG_A_092_060longrightarrow_062_A_Iy_M_Ax_J_A_092_060in_062_AgetRel_AI_AG_J_A_092_060and_062_Atrans_A_IgetRel_AI_AG_J_092_060close_062) ).
thf(356,conjecture,
member1285940496od_b_b @ ( product_Pair_b_b @ z @ y ) @ ( getRel_a_b @ i @ g ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
thf(357,negated_conjecture,
( ( member1285940496od_b_b @ ( product_Pair_b_b @ z @ y ) @ ( getRel_a_b @ i @ g ) )
= $false ),
inference(negate_conjecture,[status(cth)],[356]) ).
thf(358,plain,
( ( member1285940496od_b_b @ ( product_Pair_b_b @ z @ y ) @ ( getRel_a_b @ i @ g ) )
= $false ),
inference(unfold_def,[status(thm)],[357]) ).
thf(359,plain,
( ( ! [A4: set_Product_prod_b_b] :
( ! [X3: product_prod_b_b] :
~ ( member1285940496od_b_b @ X3 @ A4 )
=> ( ord_le1036320359od_b_b @ A4 @ bot_bo1343651123od_b_b ) ) )
= $true ),
inference(unfold_def,[status(thm)],[14]) ).
thf(360,plain,
( ( ! [R2: b,S: b,R: set_Product_prod_b_b,S2: b] :
( ( member1285940496od_b_b @ ( product_Pair_b_b @ R2 @ S ) @ R )
=> ( ( S2 = S )
=> ( member1285940496od_b_b @ ( product_Pair_b_b @ R2 @ S2 ) @ R ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[15]) ).
thf(361,plain,
( ( ! [X4: product_prod_b_b,A4: set_Product_prod_b_b,X6: set_Product_prod_b_b] :
( ( member1285940496od_b_b @ X4 @ A4 )
=> ( ( ord_le1036320359od_b_b @ X6 @ A4 )
=> ( ord_le1036320359od_b_b @ ( insert1952693431od_b_b @ X4 @ X6 ) @ A4 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[16]) ).
thf(362,plain,
( ( ! [A4: set_Product_prod_b_b,B4: set_Product_prod_b_b,X4: product_prod_b_b] :
( ( ord_le1036320359od_b_b @ A4 @ B4 )
=> ( ( member1285940496od_b_b @ X4 @ A4 )
=> ( member1285940496od_b_b @ X4 @ B4 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[30]) ).
thf(363,plain,
( ( ! [A4: set_Product_prod_b_b,B4: set_Product_prod_b_b,C2: product_prod_b_b] :
( ( ord_le1036320359od_b_b @ A4 @ B4 )
=> ( ( member1285940496od_b_b @ C2 @ A4 )
=> ( member1285940496od_b_b @ C2 @ B4 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[31]) ).
thf(364,plain,
( ( ord_le1036320359od_b_b
= ( ^ [A5: set_Product_prod_b_b,B6: set_Product_prod_b_b] :
! [X5: product_prod_b_b] :
( ( member1285940496od_b_b @ X5 @ A5 )
=> ( member1285940496od_b_b @ X5 @ B6 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[32]) ).
thf(365,plain,
( ( ord_le1036320359od_b_b
= ( ^ [A5: set_Product_prod_b_b,B6: set_Product_prod_b_b] :
! [T: product_prod_b_b] :
( ( member1285940496od_b_b @ T @ A5 )
=> ( member1285940496od_b_b @ T @ B6 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[33]) ).
thf(366,plain,
( ( ! [X4: product_prod_b_b,A4: set_Product_prod_b_b,B4: set_Product_prod_b_b] :
( ~ ( member1285940496od_b_b @ X4 @ A4 )
=> ( ( ord_le1036320359od_b_b @ A4 @ ( insert1952693431od_b_b @ X4 @ B4 ) )
= ( ord_le1036320359od_b_b @ A4 @ B4 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[38]) ).
thf(367,plain,
( ( ! [R2: set_Product_prod_b_b,S: set_Product_prod_b_b] :
( ! [X3: b,Y3: b] :
( ( member1285940496od_b_b @ ( product_Pair_b_b @ X3 @ Y3 ) @ R2 )
=> ( member1285940496od_b_b @ ( product_Pair_b_b @ X3 @ Y3 ) @ S ) )
=> ( ord_le1036320359od_b_b @ R2 @ S ) ) )
= $true ),
inference(unfold_def,[status(thm)],[41]) ).
thf(368,plain,
( ( ! [X4: b,Y4: b,A4: set_b] :
( ( member1285940496od_b_b @ ( product_Pair_b_b @ X4 @ Y4 ) @ ( id_on_b @ A4 ) )
= ( ( X4 = Y4 )
& ( member_b @ X4 @ A4 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[45]) ).
thf(369,plain,
( ( ! [X4: product_prod_b_b,Y4: product_prod_b_b,A4: set_Product_prod_b_b] :
( ( member1652792080od_b_b @ ( produc546497367od_b_b @ X4 @ Y4 ) @ ( id_on_2019020932od_b_b @ A4 ) )
= ( ( X4 = Y4 )
& ( member1285940496od_b_b @ X4 @ A4 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[46]) ).
thf(370,plain,
( ( ! [A: b,B: b,A4: set_b] :
( ( A = B )
=> ( ( member_b @ A @ A4 )
=> ( member1285940496od_b_b @ ( product_Pair_b_b @ A @ B ) @ ( id_on_b @ A4 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[47]) ).
thf(371,plain,
( ( ! [A: product_prod_b_b,B: product_prod_b_b,A4: set_Product_prod_b_b] :
( ( A = B )
=> ( ( member1285940496od_b_b @ A @ A4 )
=> ( member1652792080od_b_b @ ( produc546497367od_b_b @ A @ B ) @ ( id_on_2019020932od_b_b @ A4 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[48]) ).
thf(372,plain,
( ( ! [C2: product_prod_b_b,A4: set_b] :
( ( member1285940496od_b_b @ C2 @ ( id_on_b @ A4 ) )
=> ~ ! [X3: b] :
( ( member_b @ X3 @ A4 )
=> ( C2
!= ( product_Pair_b_b @ X3 @ X3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[49]) ).
thf(373,plain,
( ( ! [C2: produc1168037607od_b_b,A4: set_Product_prod_b_b] :
( ( member1652792080od_b_b @ C2 @ ( id_on_2019020932od_b_b @ A4 ) )
=> ~ ! [X3: product_prod_b_b] :
( ( member1285940496od_b_b @ X3 @ A4 )
=> ( C2
!= ( produc546497367od_b_b @ X3 @ X3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[50]) ).
thf(374,plain,
( ( ! [A: b,A4: set_b] :
( ( member_b @ A @ A4 )
=> ( member1285940496od_b_b @ ( product_Pair_b_b @ A @ A ) @ ( id_on_b @ A4 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[59]) ).
thf(375,plain,
( ( ! [A: product_prod_b_b,A4: set_Product_prod_b_b] :
( ( member1285940496od_b_b @ A @ A4 )
=> ( member1652792080od_b_b @ ( produc546497367od_b_b @ A @ A ) @ ( id_on_2019020932od_b_b @ A4 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[60]) ).
thf(376,plain,
( ( ! [X4: product_prod_b_b,A4: set_Product_prod_b_b,B4: set_Product_prod_b_b] :
( ( ord_le1036320359od_b_b @ ( insert1952693431od_b_b @ X4 @ A4 ) @ B4 )
= ( ( member1285940496od_b_b @ X4 @ B4 )
& ( ord_le1036320359od_b_b @ A4 @ B4 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[61]) ).
thf(377,plain,
( ( ! [A4: set_Product_prod_b_b,B4: set_Product_prod_b_b] :
( ! [X3: product_prod_b_b] :
( ( member1285940496od_b_b @ X3 @ A4 )
=> ( member1285940496od_b_b @ X3 @ B4 ) )
=> ( ord_le1036320359od_b_b @ A4 @ B4 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[65]) ).
thf(378,plain,
( ( ! [Y4: b,Z: b,L: a,G: labeled_graph_a_b,G2: labeled_graph_a_b] :
( ( member1285940496od_b_b @ ( product_Pair_b_b @ Y4 @ Z ) @ ( getRel_a_b @ L @ G ) )
=> ( ( graph_1322245399_a_b_b @ G @ G2 @ ( id_on_b @ ( labeled_vertices_a_b @ G ) ) )
=> ( member1285940496od_b_b @ ( product_Pair_b_b @ Y4 @ Z ) @ ( getRel_a_b @ L @ G2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[66]) ).
thf(379,plain,
( ( ! [P2: b > $o,X4: b,Y7: b,Y4: b,R: b > set_Product_prod_b_b] :
( ( P2 @ X4 )
=> ( ( member1285940496od_b_b @ ( product_Pair_b_b @ Y7 @ Y4 ) @ ( R @ X4 ) )
=> ( member1652792080od_b_b @ ( produc546497367od_b_b @ ( product_Pair_b_b @ X4 @ Y7 ) @ ( product_Pair_b_b @ X4 @ Y4 ) ) @ ( same_fst_b_b @ P2 @ R ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[67]) ).
thf(380,plain,
( ( ! [A4: set_Product_prod_b_b] :
( ( A4 != bot_bo1343651123od_b_b )
=> ( ! [X3: product_prod_b_b,Y3: product_prod_b_b] :
( ( member1285940496od_b_b @ X3 @ A4 )
=> ( ( member1285940496od_b_b @ Y3 @ A4 )
=> ( X3 = Y3 ) ) )
=> ( is_sin1713057243od_b_b @ A4 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[97]) ).
thf(381,plain,
( ( ! [A4: set_b,R2: set_Product_prod_b_b] :
( ! [X3: b,Y3: b] :
( ( member_b @ X3 @ A4 )
=> ( ( member_b @ Y3 @ A4 )
=> ( ( X3 != Y3 )
=> ( ( member1285940496od_b_b @ ( product_Pair_b_b @ X3 @ Y3 ) @ R2 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ Y3 @ X3 ) @ R2 ) ) ) ) )
=> ( total_on_b @ A4 @ R2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[101]) ).
thf(382,plain,
( ( ! [A4: set_Product_prod_b_b,R2: set_Pr2007082183od_b_b] :
( ! [X3: product_prod_b_b,Y3: product_prod_b_b] :
( ( member1285940496od_b_b @ X3 @ A4 )
=> ( ( member1285940496od_b_b @ Y3 @ A4 )
=> ( ( X3 != Y3 )
=> ( ( member1652792080od_b_b @ ( produc546497367od_b_b @ X3 @ Y3 ) @ R2 )
| ( member1652792080od_b_b @ ( produc546497367od_b_b @ Y3 @ X3 ) @ R2 ) ) ) ) )
=> ( total_178717291od_b_b @ A4 @ R2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[102]) ).
thf(383,plain,
( ( total_on_b
= ( ^ [A5: set_b,R3: set_Product_prod_b_b] :
! [X5: b] :
( ( member_b @ X5 @ A5 )
=> ! [Y5: b] :
( ( member_b @ Y5 @ A5 )
=> ( ( X5 != Y5 )
=> ( ( member1285940496od_b_b @ ( product_Pair_b_b @ X5 @ Y5 ) @ R3 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ Y5 @ X5 ) @ R3 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[103]) ).
thf(384,plain,
( ( ! [R2: set_Product_prod_b_b,B: b,A: b] :
( ( sym_b @ R2 )
=> ( ( member1285940496od_b_b @ ( product_Pair_b_b @ B @ A ) @ R2 )
=> ( member1285940496od_b_b @ ( product_Pair_b_b @ A @ B ) @ R2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[104]) ).
thf(385,plain,
( ( ! [R2: set_Product_prod_b_b,B: b,A: b] :
( ( sym_b @ R2 )
=> ( ( member1285940496od_b_b @ ( product_Pair_b_b @ B @ A ) @ R2 )
=> ( member1285940496od_b_b @ ( product_Pair_b_b @ A @ B ) @ R2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[105]) ).
thf(386,plain,
( ( ! [R2: set_Product_prod_b_b] :
( ! [A3: b,B3: b] :
( ( member1285940496od_b_b @ ( product_Pair_b_b @ A3 @ B3 ) @ R2 )
=> ( member1285940496od_b_b @ ( product_Pair_b_b @ B3 @ A3 ) @ R2 ) )
=> ( sym_b @ R2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[106]) ).
thf(387,plain,
( ( sym_b
= ( ^ [R3: set_Product_prod_b_b] :
! [X5: b,Y5: b] :
( ( member1285940496od_b_b @ ( product_Pair_b_b @ X5 @ Y5 ) @ R3 )
=> ( member1285940496od_b_b @ ( product_Pair_b_b @ Y5 @ X5 ) @ R3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[107]) ).
thf(388,plain,
( ( bot_bo1302443370_b_b_o
= ( ^ [X5: product_prod_b_b] : ( member1285940496od_b_b @ X5 @ bot_bo1343651123od_b_b ) ) )
= $true ),
inference(unfold_def,[status(thm)],[110]) ).
thf(389,plain,
( ( ! [B: product_prod_b_b,A: product_prod_b_b] :
( ( member1285940496od_b_b @ B @ ( insert1952693431od_b_b @ A @ bot_bo1343651123od_b_b ) )
=> ( B = A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[123]) ).
thf(390,plain,
( ( ! [B: product_prod_b_b,A: product_prod_b_b] :
( ( member1285940496od_b_b @ B @ ( insert1952693431od_b_b @ A @ bot_bo1343651123od_b_b ) )
= ( B = A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[125]) ).
thf(391,plain,
( ( ! [A: product_prod_b_b,B: product_prod_b_b,A4: set_Product_prod_b_b] :
( ( member1285940496od_b_b @ A @ ( insert1952693431od_b_b @ B @ A4 ) )
=> ( ( A != B )
=> ( member1285940496od_b_b @ A @ A4 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[129]) ).
thf(392,plain,
( ( ! [A: product_prod_b_b,B4: set_Product_prod_b_b] : ( member1285940496od_b_b @ A @ ( insert1952693431od_b_b @ A @ B4 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[131]) ).
thf(393,plain,
( ( ! [A: product_prod_b_b,B4: set_Product_prod_b_b,B: product_prod_b_b] :
( ( member1285940496od_b_b @ A @ B4 )
=> ( member1285940496od_b_b @ A @ ( insert1952693431od_b_b @ B @ B4 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[133]) ).
thf(394,plain,
( ( ! [X4: product_prod_b_b,A4: set_Product_prod_b_b] :
( ( member1285940496od_b_b @ X4 @ A4 )
=> ~ ! [B5: set_Product_prod_b_b] :
( ( A4
= ( insert1952693431od_b_b @ X4 @ B5 ) )
=> ( member1285940496od_b_b @ X4 @ B5 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[135]) ).
thf(395,plain,
( ( ! [X4: product_prod_b_b,A4: set_Product_prod_b_b,B4: set_Product_prod_b_b] :
( ~ ( member1285940496od_b_b @ X4 @ A4 )
=> ( ~ ( member1285940496od_b_b @ X4 @ B4 )
=> ( ( ( insert1952693431od_b_b @ X4 @ A4 )
= ( insert1952693431od_b_b @ X4 @ B4 ) )
= ( A4 = B4 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[137]) ).
thf(396,plain,
( ( ! [A: product_prod_b_b,A4: set_Product_prod_b_b] :
( ( member1285940496od_b_b @ A @ A4 )
=> ( ( insert1952693431od_b_b @ A @ A4 )
= A4 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[139]) ).
thf(397,plain,
( ( ! [A: product_prod_b_b,A4: set_Product_prod_b_b,B: product_prod_b_b,B4: set_Product_prod_b_b] :
( ~ ( member1285940496od_b_b @ A @ A4 )
=> ( ~ ( member1285940496od_b_b @ B @ B4 )
=> ( ( ( insert1952693431od_b_b @ A @ A4 )
= ( insert1952693431od_b_b @ B @ B4 ) )
= ( ( ( A = B )
=> ( A4 = B4 ) )
& ( ( A != B )
=> ? [C3: set_Product_prod_b_b] :
( ( A4
= ( insert1952693431od_b_b @ B @ C3 ) )
& ~ ( member1285940496od_b_b @ B @ C3 )
& ( B4
= ( insert1952693431od_b_b @ A @ C3 ) )
& ~ ( member1285940496od_b_b @ A @ C3 ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[141]) ).
thf(398,plain,
( ( ! [A: product_prod_b_b,A4: set_Product_prod_b_b] :
( ( member1285940496od_b_b @ A @ A4 )
=> ? [B5: set_Product_prod_b_b] :
( ( A4
= ( insert1952693431od_b_b @ A @ B5 ) )
& ~ ( member1285940496od_b_b @ A @ B5 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[144]) ).
thf(399,plain,
( ( ! [A: product_prod_b_b] :
~ ( member1285940496od_b_b @ A @ bot_bo1343651123od_b_b ) )
= $true ),
inference(unfold_def,[status(thm)],[147]) ).
thf(400,plain,
( ( ! [A4: set_Product_prod_b_b,A: product_prod_b_b] :
( ( A4 = bot_bo1343651123od_b_b )
=> ~ ( member1285940496od_b_b @ A @ A4 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[149]) ).
thf(401,plain,
( ( ! [A4: set_Product_prod_b_b] :
( ! [Y3: product_prod_b_b] :
~ ( member1285940496od_b_b @ Y3 @ A4 )
=> ( A4 = bot_bo1343651123od_b_b ) ) )
= $true ),
inference(unfold_def,[status(thm)],[151]) ).
thf(402,plain,
( ( ! [A4: set_Product_prod_b_b] :
( ( ? [X5: product_prod_b_b] : ( member1285940496od_b_b @ X5 @ A4 ) )
= ( A4 != bot_bo1343651123od_b_b ) ) )
= $true ),
inference(unfold_def,[status(thm)],[153]) ).
thf(403,plain,
( ( ! [A4: set_Product_prod_b_b] :
( ( ! [X5: product_prod_b_b] :
~ ( member1285940496od_b_b @ X5 @ A4 ) )
= ( A4 = bot_bo1343651123od_b_b ) ) )
= $true ),
inference(unfold_def,[status(thm)],[157]) ).
thf(404,plain,
( ( ! [C2: product_prod_b_b] :
~ ( member1285940496od_b_b @ C2 @ bot_bo1343651123od_b_b ) )
= $true ),
inference(unfold_def,[status(thm)],[159]) ).
thf(405,plain,
( ( ! [A: product_prod_b_b,B: product_prod_b_b,A4: set_Product_prod_b_b] :
( ( member1285940496od_b_b @ A @ ( insert1952693431od_b_b @ B @ A4 ) )
= ( ( A = B )
| ( member1285940496od_b_b @ A @ A4 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[161]) ).
thf(406,plain,
( ( ! [A: product_prod_b_b,B4: set_Product_prod_b_b,B: product_prod_b_b] :
( ( ~ ( member1285940496od_b_b @ A @ B4 )
=> ( A = B ) )
=> ( member1285940496od_b_b @ A @ ( insert1952693431od_b_b @ B @ B4 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[163]) ).
thf(407,plain,
( ( ! [A: product_prod_b_b] : ( member1285940496od_b_b @ A @ ( insert1952693431od_b_b @ A @ bot_bo1343651123od_b_b ) ) )
= $true ),
inference(unfold_def,[status(thm)],[167]) ).
thf(408,plain,
( ( ! [A: b] : ( trans_b @ ( insert1952693431od_b_b @ ( product_Pair_b_b @ A @ A ) @ bot_bo1343651123od_b_b ) ) )
= $true ),
inference(unfold_def,[status(thm)],[189]) ).
thf(409,plain,
( ( ! [A4: set_Product_prod_b_b] :
( ( collec1481886546od_b_b
@ ^ [X5: product_prod_b_b] : ( member1285940496od_b_b @ X5 @ A4 ) )
= A4 ) )
= $true ),
inference(unfold_def,[status(thm)],[214]) ).
thf(410,plain,
( ( ! [A: product_prod_b_b,P2: product_prod_b_b > $o] :
( ( member1285940496od_b_b @ A @ ( collec1481886546od_b_b @ P2 ) )
= ( P2 @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[221]) ).
thf(411,plain,
( ( ! [A4: set_b,R2: set_Product_prod_b_b,X4: b,Y4: b] :
( ( refl_on_b @ A4 @ R2 )
=> ( ( member1285940496od_b_b @ ( product_Pair_b_b @ X4 @ Y4 ) @ R2 )
=> ( member_b @ X4 @ A4 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[251]) ).
thf(412,plain,
( ( ! [A4: set_Product_prod_b_b,R2: set_Pr2007082183od_b_b,X4: product_prod_b_b,Y4: product_prod_b_b] :
( ( refl_o2134473190od_b_b @ A4 @ R2 )
=> ( ( member1652792080od_b_b @ ( produc546497367od_b_b @ X4 @ Y4 ) @ R2 )
=> ( member1285940496od_b_b @ X4 @ A4 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[252]) ).
thf(413,plain,
( ( ! [A4: set_b,R2: set_Product_prod_b_b,A: b] :
( ( refl_on_b @ A4 @ R2 )
=> ( ( member_b @ A @ A4 )
=> ( member1285940496od_b_b @ ( product_Pair_b_b @ A @ A ) @ R2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[259]) ).
thf(414,plain,
( ( ! [A4: set_Product_prod_b_b,R2: set_Pr2007082183od_b_b,A: product_prod_b_b] :
( ( refl_o2134473190od_b_b @ A4 @ R2 )
=> ( ( member1285940496od_b_b @ A @ A4 )
=> ( member1652792080od_b_b @ ( produc546497367od_b_b @ A @ A ) @ R2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[260]) ).
thf(415,plain,
( ( trans_b
= ( ^ [R3: set_Product_prod_b_b] :
! [X5: b,Y5: b,Z3: b] :
( ( member1285940496od_b_b @ ( product_Pair_b_b @ X5 @ Y5 ) @ R3 )
=> ( ( member1285940496od_b_b @ ( product_Pair_b_b @ Y5 @ Z3 ) @ R3 )
=> ( member1285940496od_b_b @ ( product_Pair_b_b @ X5 @ Z3 ) @ R3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[267]) ).
thf(416,plain,
( ( ! [R2: set_Product_prod_b_b] :
( ! [X3: b,Y3: b,Z2: b] :
( ( member1285940496od_b_b @ ( product_Pair_b_b @ X3 @ Y3 ) @ R2 )
=> ( ( member1285940496od_b_b @ ( product_Pair_b_b @ Y3 @ Z2 ) @ R2 )
=> ( member1285940496od_b_b @ ( product_Pair_b_b @ X3 @ Z2 ) @ R2 ) ) )
=> ( trans_b @ R2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[271]) ).
thf(417,plain,
( ( ! [R2: set_Product_prod_b_b,X4: b,Y4: b,Z: b] :
( ( trans_b @ R2 )
=> ( ( member1285940496od_b_b @ ( product_Pair_b_b @ X4 @ Y4 ) @ R2 )
=> ( ( member1285940496od_b_b @ ( product_Pair_b_b @ Y4 @ Z ) @ R2 )
=> ( member1285940496od_b_b @ ( product_Pair_b_b @ X4 @ Z ) @ R2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[275]) ).
thf(418,plain,
( ( ! [R2: set_Product_prod_b_b,X4: b,Y4: b,Z: b] :
( ( trans_b @ R2 )
=> ( ( member1285940496od_b_b @ ( product_Pair_b_b @ X4 @ Y4 ) @ R2 )
=> ( ( member1285940496od_b_b @ ( product_Pair_b_b @ Y4 @ Z ) @ R2 )
=> ( member1285940496od_b_b @ ( product_Pair_b_b @ X4 @ Z ) @ R2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[279]) ).
thf(419,plain,
( ( ! [A4: set_b,R2: set_Product_prod_b_b,X4: b,Y4: b] :
( ( refl_on_b @ A4 @ R2 )
=> ( ( member1285940496od_b_b @ ( product_Pair_b_b @ X4 @ Y4 ) @ R2 )
=> ( member_b @ Y4 @ A4 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[283]) ).
thf(420,plain,
( ( ! [A4: set_Product_prod_b_b,R2: set_Pr2007082183od_b_b,X4: product_prod_b_b,Y4: product_prod_b_b] :
( ( refl_o2134473190od_b_b @ A4 @ R2 )
=> ( ( member1652792080od_b_b @ ( produc546497367od_b_b @ X4 @ Y4 ) @ R2 )
=> ( member1285940496od_b_b @ Y4 @ A4 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[284]) ).
thf(421,plain,
( ( ! [A4: set_b,R2: set_Product_prod_b_b,A: b,B: b] :
( ( refl_on_b @ A4 @ R2 )
=> ( ( member1285940496od_b_b @ ( product_Pair_b_b @ A @ B ) @ R2 )
=> ( ( member_b @ A @ A4 )
& ( member_b @ B @ A4 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[291]) ).
thf(422,plain,
( ( ! [A4: set_Product_prod_b_b,R2: set_Pr2007082183od_b_b,A: product_prod_b_b,B: product_prod_b_b] :
( ( refl_o2134473190od_b_b @ A4 @ R2 )
=> ( ( member1652792080od_b_b @ ( produc546497367od_b_b @ A @ B ) @ R2 )
=> ( ( member1285940496od_b_b @ A @ A4 )
& ( member1285940496od_b_b @ B @ A4 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[292]) ).
thf(423,plain,
( ( ! [G: labeled_graph_a_b,A: b,B: b,L: a] :
( ( G
= ( restrict_a_b @ G ) )
=> ( ( member1285940496od_b_b @ ( product_Pair_b_b @ A @ B ) @ ( getRel_a_b @ L @ G ) )
=> ( member_b @ B @ ( labeled_vertices_a_b @ G ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[307]) ).
thf(424,plain,
( ( ! [G: labeled_graph_a_b,A: b,B: b,L: a] :
( ( G
= ( restrict_a_b @ G ) )
=> ( ( member1285940496od_b_b @ ( product_Pair_b_b @ A @ B ) @ ( getRel_a_b @ L @ G ) )
=> ( member_b @ A @ ( labeled_vertices_a_b @ G ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[308]) ).
thf(425,plain,
( ( ! [P2: produc1133639312od_b_b > $o,X4: produc1133639312od_b_b] :
( ! [A3: a,B3: b,C: b] : ( P2 @ ( produc2135284224od_b_b @ A3 @ ( product_Pair_b_b @ B3 @ C ) ) )
=> ( P2 @ X4 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[310]) ).
thf(426,plain,
( ( ! [P2: produc1168037607od_b_b > $o,X4: produc1168037607od_b_b] :
( ! [A3: product_prod_b_b,B3: b,C: b] : ( P2 @ ( produc546497367od_b_b @ A3 @ ( product_Pair_b_b @ B3 @ C ) ) )
=> ( P2 @ X4 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[312]) ).
thf(427,plain,
( ( ! [Y4: product_prod_b_b] :
~ ! [A3: b,B3: b] :
( Y4
!= ( product_Pair_b_b @ A3 @ B3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[313]) ).
thf(428,plain,
( ( ! [P2: product_prod_b_b > $o,Prod: product_prod_b_b] :
( ! [A3: b,B3: b] : ( P2 @ ( product_Pair_b_b @ A3 @ B3 ) )
=> ( P2 @ Prod ) ) )
= $true ),
inference(unfold_def,[status(thm)],[318]) ).
thf(429,plain,
( ( ! [Y4: produc1133639312od_b_b] :
~ ! [A3: a,B3: b,C: b] :
( Y4
!= ( produc2135284224od_b_b @ A3 @ ( product_Pair_b_b @ B3 @ C ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[323]) ).
thf(430,plain,
( ( ! [Y4: produc1168037607od_b_b] :
~ ! [A3: product_prod_b_b,B3: b,C: b] :
( Y4
!= ( produc546497367od_b_b @ A3 @ ( product_Pair_b_b @ B3 @ C ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[325]) ).
thf(431,plain,
( ( ! [A: b,B: b,A2: b,B2: b] :
( ( ( product_Pair_b_b @ A @ B )
= ( product_Pair_b_b @ A2 @ B2 ) )
=> ~ ( ( A = A2 )
=> ( B != B2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[326]) ).
thf(432,plain,
( ( ! [P2: product_prod_b_b > $o,P: product_prod_b_b] :
( ! [A3: b,B3: b] : ( P2 @ ( product_Pair_b_b @ A3 @ B3 ) )
=> ( P2 @ P ) ) )
= $true ),
inference(unfold_def,[status(thm)],[331]) ).
thf(433,plain,
( ( ! [P: product_prod_b_b] :
? [X3: b,Y3: b] :
( P
= ( product_Pair_b_b @ X3 @ Y3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[336]) ).
thf(434,plain,
( ( ! [A: b,B: b,A2: b,B2: b] :
( ( ( product_Pair_b_b @ A @ B )
= ( product_Pair_b_b @ A2 @ B2 ) )
= ( ( A = A2 )
& ( B = B2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[341]) ).
thf(435,plain,
( ( ! [X1: b,X2: b,Y1: b,Y2: b] :
( ( ( product_Pair_b_b @ X1 @ X2 )
= ( product_Pair_b_b @ Y1 @ Y2 ) )
= ( ( X1 = Y1 )
& ( X2 = Y2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[346]) ).
thf(436,plain,
( ( equiv_equiv_b @ ( labeled_vertices_a_b @ g ) @ ( getRel_a_b @ i @ g ) )
= $true ),
inference(unfold_def,[status(thm)],[351]) ).
thf(437,plain,
( ( maintained_a_nat_b @ ( standa414753934rule_a @ i @ l ) @ g )
= $true ),
inference(unfold_def,[status(thm)],[352]) ).
thf(438,plain,
( ( g
= ( restrict_a_b @ g ) )
= $true ),
inference(unfold_def,[status(thm)],[353]) ).
thf(439,plain,
( ( member1285940496od_b_b @ ( product_Pair_b_b @ y @ z ) @ ( getRel_a_b @ i @ g ) )
= $true ),
inference(unfold_def,[status(thm)],[354]) ).
thf(440,plain,
( ( ( refl_on_b @ ( labeled_vertices_a_b @ g ) @ ( getRel_a_b @ i @ g ) )
& ! [X: b,Y: b] :
( ( member1285940496od_b_b @ ( product_Pair_b_b @ X @ Y ) @ ( getRel_a_b @ i @ g ) )
=> ( member1285940496od_b_b @ ( product_Pair_b_b @ Y @ X ) @ ( getRel_a_b @ i @ g ) ) )
& ( trans_b @ ( getRel_a_b @ i @ g ) ) )
= $true ),
inference(unfold_def,[status(thm)],[355]) ).
thf(441,plain,
( ( ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ z @ y ) @ ( getRel_a_b @ i @ g ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[358]) ).
thf(442,plain,
( ( ( refl_on_b @ ( labeled_vertices_a_b @ g ) @ ( getRel_a_b @ i @ g ) )
& ! [X: b,Y: b] :
( ( member1285940496od_b_b @ ( product_Pair_b_b @ X @ Y ) @ ( getRel_a_b @ i @ g ) )
=> ( member1285940496od_b_b @ ( product_Pair_b_b @ Y @ X ) @ ( getRel_a_b @ i @ g ) ) )
& ( trans_b @ ( getRel_a_b @ i @ g ) ) )
= $true ),
inference(copy,[status(thm)],[440]) ).
thf(443,plain,
( ( member1285940496od_b_b @ ( product_Pair_b_b @ y @ z ) @ ( getRel_a_b @ i @ g ) )
= $true ),
inference(copy,[status(thm)],[439]) ).
thf(444,plain,
( ( g
= ( restrict_a_b @ g ) )
= $true ),
inference(copy,[status(thm)],[438]) ).
thf(445,plain,
( ( maintained_a_nat_b @ ( standa414753934rule_a @ i @ l ) @ g )
= $true ),
inference(copy,[status(thm)],[437]) ).
thf(446,plain,
( ( equiv_equiv_b @ ( labeled_vertices_a_b @ g ) @ ( getRel_a_b @ i @ g ) )
= $true ),
inference(copy,[status(thm)],[436]) ).
thf(447,plain,
( ( ! [X1: b,X2: b,Y1: b,Y2: b] :
( ( ( product_Pair_b_b @ X1 @ X2 )
= ( product_Pair_b_b @ Y1 @ Y2 ) )
= ( ( X1 = Y1 )
& ( X2 = Y2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[435]) ).
thf(448,plain,
( ( ! [A: b,B: b,A2: b,B2: b] :
( ( ( product_Pair_b_b @ A @ B )
= ( product_Pair_b_b @ A2 @ B2 ) )
= ( ( A = A2 )
& ( B = B2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[434]) ).
thf(449,plain,
( ( ! [P: product_prod_b_b] :
? [X3: b,Y3: b] :
( P
= ( product_Pair_b_b @ X3 @ Y3 ) ) )
= $true ),
inference(copy,[status(thm)],[433]) ).
thf(450,plain,
( ( ! [P2: product_prod_b_b > $o,P: product_prod_b_b] :
( ! [A3: b,B3: b] : ( P2 @ ( product_Pair_b_b @ A3 @ B3 ) )
=> ( P2 @ P ) ) )
= $true ),
inference(copy,[status(thm)],[432]) ).
thf(451,plain,
( ( ! [A: b,B: b,A2: b,B2: b] :
( ( ( product_Pair_b_b @ A @ B )
= ( product_Pair_b_b @ A2 @ B2 ) )
=> ~ ( ( A = A2 )
=> ( B != B2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[431]) ).
thf(452,plain,
( ( ! [Y4: produc1168037607od_b_b] :
~ ! [A3: product_prod_b_b,B3: b,C: b] :
( Y4
!= ( produc546497367od_b_b @ A3 @ ( product_Pair_b_b @ B3 @ C ) ) ) )
= $true ),
inference(copy,[status(thm)],[430]) ).
thf(453,plain,
( ( ! [Y4: produc1133639312od_b_b] :
~ ! [A3: a,B3: b,C: b] :
( Y4
!= ( produc2135284224od_b_b @ A3 @ ( product_Pair_b_b @ B3 @ C ) ) ) )
= $true ),
inference(copy,[status(thm)],[429]) ).
thf(454,plain,
( ( ! [P2: product_prod_b_b > $o,Prod: product_prod_b_b] :
( ! [A3: b,B3: b] : ( P2 @ ( product_Pair_b_b @ A3 @ B3 ) )
=> ( P2 @ Prod ) ) )
= $true ),
inference(copy,[status(thm)],[428]) ).
thf(455,plain,
( ( ! [Y4: product_prod_b_b] :
~ ! [A3: b,B3: b] :
( Y4
!= ( product_Pair_b_b @ A3 @ B3 ) ) )
= $true ),
inference(copy,[status(thm)],[427]) ).
thf(456,plain,
( ( ! [P2: produc1168037607od_b_b > $o,X4: produc1168037607od_b_b] :
( ! [A3: product_prod_b_b,B3: b,C: b] : ( P2 @ ( produc546497367od_b_b @ A3 @ ( product_Pair_b_b @ B3 @ C ) ) )
=> ( P2 @ X4 ) ) )
= $true ),
inference(copy,[status(thm)],[426]) ).
thf(457,plain,
( ( ! [P2: produc1133639312od_b_b > $o,X4: produc1133639312od_b_b] :
( ! [A3: a,B3: b,C: b] : ( P2 @ ( produc2135284224od_b_b @ A3 @ ( product_Pair_b_b @ B3 @ C ) ) )
=> ( P2 @ X4 ) ) )
= $true ),
inference(copy,[status(thm)],[425]) ).
thf(458,plain,
( ( ! [G: labeled_graph_a_b,A: b,B: b,L: a] :
( ( G
= ( restrict_a_b @ G ) )
=> ( ( member1285940496od_b_b @ ( product_Pair_b_b @ A @ B ) @ ( getRel_a_b @ L @ G ) )
=> ( member_b @ A @ ( labeled_vertices_a_b @ G ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[424]) ).
thf(459,plain,
( ( ! [G: labeled_graph_a_b,A: b,B: b,L: a] :
( ( G
= ( restrict_a_b @ G ) )
=> ( ( member1285940496od_b_b @ ( product_Pair_b_b @ A @ B ) @ ( getRel_a_b @ L @ G ) )
=> ( member_b @ B @ ( labeled_vertices_a_b @ G ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[423]) ).
thf(460,plain,
( ( ! [A4: set_Product_prod_b_b,R2: set_Pr2007082183od_b_b,A: product_prod_b_b,B: product_prod_b_b] :
( ( refl_o2134473190od_b_b @ A4 @ R2 )
=> ( ( member1652792080od_b_b @ ( produc546497367od_b_b @ A @ B ) @ R2 )
=> ( ( member1285940496od_b_b @ A @ A4 )
& ( member1285940496od_b_b @ B @ A4 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[422]) ).
thf(461,plain,
( ( ! [A4: set_b,R2: set_Product_prod_b_b,A: b,B: b] :
( ( refl_on_b @ A4 @ R2 )
=> ( ( member1285940496od_b_b @ ( product_Pair_b_b @ A @ B ) @ R2 )
=> ( ( member_b @ A @ A4 )
& ( member_b @ B @ A4 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[421]) ).
thf(462,plain,
( ( ! [A4: set_Product_prod_b_b,R2: set_Pr2007082183od_b_b,X4: product_prod_b_b,Y4: product_prod_b_b] :
( ( refl_o2134473190od_b_b @ A4 @ R2 )
=> ( ( member1652792080od_b_b @ ( produc546497367od_b_b @ X4 @ Y4 ) @ R2 )
=> ( member1285940496od_b_b @ Y4 @ A4 ) ) ) )
= $true ),
inference(copy,[status(thm)],[420]) ).
thf(463,plain,
( ( ! [A4: set_b,R2: set_Product_prod_b_b,X4: b,Y4: b] :
( ( refl_on_b @ A4 @ R2 )
=> ( ( member1285940496od_b_b @ ( product_Pair_b_b @ X4 @ Y4 ) @ R2 )
=> ( member_b @ Y4 @ A4 ) ) ) )
= $true ),
inference(copy,[status(thm)],[419]) ).
thf(464,plain,
( ( ! [R2: set_Product_prod_b_b,X4: b,Y4: b,Z: b] :
( ( trans_b @ R2 )
=> ( ( member1285940496od_b_b @ ( product_Pair_b_b @ X4 @ Y4 ) @ R2 )
=> ( ( member1285940496od_b_b @ ( product_Pair_b_b @ Y4 @ Z ) @ R2 )
=> ( member1285940496od_b_b @ ( product_Pair_b_b @ X4 @ Z ) @ R2 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[418]) ).
thf(465,plain,
( ( ! [R2: set_Product_prod_b_b,X4: b,Y4: b,Z: b] :
( ( trans_b @ R2 )
=> ( ( member1285940496od_b_b @ ( product_Pair_b_b @ X4 @ Y4 ) @ R2 )
=> ( ( member1285940496od_b_b @ ( product_Pair_b_b @ Y4 @ Z ) @ R2 )
=> ( member1285940496od_b_b @ ( product_Pair_b_b @ X4 @ Z ) @ R2 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[417]) ).
thf(466,plain,
( ( ! [R2: set_Product_prod_b_b] :
( ! [X3: b,Y3: b,Z2: b] :
( ( member1285940496od_b_b @ ( product_Pair_b_b @ X3 @ Y3 ) @ R2 )
=> ( ( member1285940496od_b_b @ ( product_Pair_b_b @ Y3 @ Z2 ) @ R2 )
=> ( member1285940496od_b_b @ ( product_Pair_b_b @ X3 @ Z2 ) @ R2 ) ) )
=> ( trans_b @ R2 ) ) )
= $true ),
inference(copy,[status(thm)],[416]) ).
thf(467,plain,
( ( trans_b
= ( ^ [R3: set_Product_prod_b_b] :
! [X5: b,Y5: b,Z3: b] :
( ( member1285940496od_b_b @ ( product_Pair_b_b @ X5 @ Y5 ) @ R3 )
=> ( ( member1285940496od_b_b @ ( product_Pair_b_b @ Y5 @ Z3 ) @ R3 )
=> ( member1285940496od_b_b @ ( product_Pair_b_b @ X5 @ Z3 ) @ R3 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[415]) ).
thf(468,plain,
( ( ! [A4: set_Product_prod_b_b,R2: set_Pr2007082183od_b_b,A: product_prod_b_b] :
( ( refl_o2134473190od_b_b @ A4 @ R2 )
=> ( ( member1285940496od_b_b @ A @ A4 )
=> ( member1652792080od_b_b @ ( produc546497367od_b_b @ A @ A ) @ R2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[414]) ).
thf(469,plain,
( ( ! [A4: set_b,R2: set_Product_prod_b_b,A: b] :
( ( refl_on_b @ A4 @ R2 )
=> ( ( member_b @ A @ A4 )
=> ( member1285940496od_b_b @ ( product_Pair_b_b @ A @ A ) @ R2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[413]) ).
thf(470,plain,
( ( ! [A4: set_Product_prod_b_b,R2: set_Pr2007082183od_b_b,X4: product_prod_b_b,Y4: product_prod_b_b] :
( ( refl_o2134473190od_b_b @ A4 @ R2 )
=> ( ( member1652792080od_b_b @ ( produc546497367od_b_b @ X4 @ Y4 ) @ R2 )
=> ( member1285940496od_b_b @ X4 @ A4 ) ) ) )
= $true ),
inference(copy,[status(thm)],[412]) ).
thf(471,plain,
( ( ! [A4: set_b,R2: set_Product_prod_b_b,X4: b,Y4: b] :
( ( refl_on_b @ A4 @ R2 )
=> ( ( member1285940496od_b_b @ ( product_Pair_b_b @ X4 @ Y4 ) @ R2 )
=> ( member_b @ X4 @ A4 ) ) ) )
= $true ),
inference(copy,[status(thm)],[411]) ).
thf(472,plain,
( ( ! [A: product_prod_b_b,P2: product_prod_b_b > $o] :
( ( member1285940496od_b_b @ A @ ( collec1481886546od_b_b @ P2 ) )
= ( P2 @ A ) ) )
= $true ),
inference(copy,[status(thm)],[410]) ).
thf(473,plain,
( ( ! [A4: set_Product_prod_b_b] :
( ( collec1481886546od_b_b
@ ^ [X5: product_prod_b_b] : ( member1285940496od_b_b @ X5 @ A4 ) )
= A4 ) )
= $true ),
inference(copy,[status(thm)],[409]) ).
thf(474,plain,
( ( ! [A: b] : ( trans_b @ ( insert1952693431od_b_b @ ( product_Pair_b_b @ A @ A ) @ bot_bo1343651123od_b_b ) ) )
= $true ),
inference(copy,[status(thm)],[408]) ).
thf(475,plain,
( ( ! [A: product_prod_b_b] : ( member1285940496od_b_b @ A @ ( insert1952693431od_b_b @ A @ bot_bo1343651123od_b_b ) ) )
= $true ),
inference(copy,[status(thm)],[407]) ).
thf(476,plain,
( ( ! [A: product_prod_b_b,B4: set_Product_prod_b_b,B: product_prod_b_b] :
( ( ~ ( member1285940496od_b_b @ A @ B4 )
=> ( A = B ) )
=> ( member1285940496od_b_b @ A @ ( insert1952693431od_b_b @ B @ B4 ) ) ) )
= $true ),
inference(copy,[status(thm)],[406]) ).
thf(477,plain,
( ( ! [A: product_prod_b_b,B: product_prod_b_b,A4: set_Product_prod_b_b] :
( ( member1285940496od_b_b @ A @ ( insert1952693431od_b_b @ B @ A4 ) )
= ( ( A = B )
| ( member1285940496od_b_b @ A @ A4 ) ) ) )
= $true ),
inference(copy,[status(thm)],[405]) ).
thf(478,plain,
( ( ! [C2: product_prod_b_b] :
~ ( member1285940496od_b_b @ C2 @ bot_bo1343651123od_b_b ) )
= $true ),
inference(copy,[status(thm)],[404]) ).
thf(479,plain,
( ( ! [A4: set_Product_prod_b_b] :
( ( ! [X5: product_prod_b_b] :
~ ( member1285940496od_b_b @ X5 @ A4 ) )
= ( A4 = bot_bo1343651123od_b_b ) ) )
= $true ),
inference(copy,[status(thm)],[403]) ).
thf(480,plain,
( ( ! [A4: set_Product_prod_b_b] :
( ( ? [X5: product_prod_b_b] : ( member1285940496od_b_b @ X5 @ A4 ) )
= ( A4 != bot_bo1343651123od_b_b ) ) )
= $true ),
inference(copy,[status(thm)],[402]) ).
thf(481,plain,
( ( ! [A4: set_Product_prod_b_b] :
( ! [Y3: product_prod_b_b] :
~ ( member1285940496od_b_b @ Y3 @ A4 )
=> ( A4 = bot_bo1343651123od_b_b ) ) )
= $true ),
inference(copy,[status(thm)],[401]) ).
thf(482,plain,
( ( ! [A4: set_Product_prod_b_b,A: product_prod_b_b] :
( ( A4 = bot_bo1343651123od_b_b )
=> ~ ( member1285940496od_b_b @ A @ A4 ) ) )
= $true ),
inference(copy,[status(thm)],[400]) ).
thf(483,plain,
( ( ! [A: product_prod_b_b] :
~ ( member1285940496od_b_b @ A @ bot_bo1343651123od_b_b ) )
= $true ),
inference(copy,[status(thm)],[399]) ).
thf(484,plain,
( ( ! [A: product_prod_b_b,A4: set_Product_prod_b_b] :
( ( member1285940496od_b_b @ A @ A4 )
=> ? [B5: set_Product_prod_b_b] :
( ( A4
= ( insert1952693431od_b_b @ A @ B5 ) )
& ~ ( member1285940496od_b_b @ A @ B5 ) ) ) )
= $true ),
inference(copy,[status(thm)],[398]) ).
thf(485,plain,
( ( ! [A: product_prod_b_b,A4: set_Product_prod_b_b,B: product_prod_b_b,B4: set_Product_prod_b_b] :
( ~ ( member1285940496od_b_b @ A @ A4 )
=> ( ~ ( member1285940496od_b_b @ B @ B4 )
=> ( ( ( insert1952693431od_b_b @ A @ A4 )
= ( insert1952693431od_b_b @ B @ B4 ) )
= ( ( ( A = B )
=> ( A4 = B4 ) )
& ( ( A != B )
=> ? [C3: set_Product_prod_b_b] :
( ( A4
= ( insert1952693431od_b_b @ B @ C3 ) )
& ~ ( member1285940496od_b_b @ B @ C3 )
& ( B4
= ( insert1952693431od_b_b @ A @ C3 ) )
& ~ ( member1285940496od_b_b @ A @ C3 ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[397]) ).
thf(486,plain,
( ( ! [A: product_prod_b_b,A4: set_Product_prod_b_b] :
( ( member1285940496od_b_b @ A @ A4 )
=> ( ( insert1952693431od_b_b @ A @ A4 )
= A4 ) ) )
= $true ),
inference(copy,[status(thm)],[396]) ).
thf(487,plain,
( ( ! [X4: product_prod_b_b,A4: set_Product_prod_b_b,B4: set_Product_prod_b_b] :
( ~ ( member1285940496od_b_b @ X4 @ A4 )
=> ( ~ ( member1285940496od_b_b @ X4 @ B4 )
=> ( ( ( insert1952693431od_b_b @ X4 @ A4 )
= ( insert1952693431od_b_b @ X4 @ B4 ) )
= ( A4 = B4 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[395]) ).
thf(488,plain,
( ( ! [X4: product_prod_b_b,A4: set_Product_prod_b_b] :
( ( member1285940496od_b_b @ X4 @ A4 )
=> ~ ! [B5: set_Product_prod_b_b] :
( ( A4
= ( insert1952693431od_b_b @ X4 @ B5 ) )
=> ( member1285940496od_b_b @ X4 @ B5 ) ) ) )
= $true ),
inference(copy,[status(thm)],[394]) ).
thf(489,plain,
( ( ! [A: product_prod_b_b,B4: set_Product_prod_b_b,B: product_prod_b_b] :
( ( member1285940496od_b_b @ A @ B4 )
=> ( member1285940496od_b_b @ A @ ( insert1952693431od_b_b @ B @ B4 ) ) ) )
= $true ),
inference(copy,[status(thm)],[393]) ).
thf(490,plain,
( ( ! [A: product_prod_b_b,B4: set_Product_prod_b_b] : ( member1285940496od_b_b @ A @ ( insert1952693431od_b_b @ A @ B4 ) ) )
= $true ),
inference(copy,[status(thm)],[392]) ).
thf(491,plain,
( ( ! [A: product_prod_b_b,B: product_prod_b_b,A4: set_Product_prod_b_b] :
( ( member1285940496od_b_b @ A @ ( insert1952693431od_b_b @ B @ A4 ) )
=> ( ( A != B )
=> ( member1285940496od_b_b @ A @ A4 ) ) ) )
= $true ),
inference(copy,[status(thm)],[391]) ).
thf(492,plain,
( ( ! [B: product_prod_b_b,A: product_prod_b_b] :
( ( member1285940496od_b_b @ B @ ( insert1952693431od_b_b @ A @ bot_bo1343651123od_b_b ) )
= ( B = A ) ) )
= $true ),
inference(copy,[status(thm)],[390]) ).
thf(493,plain,
( ( ! [B: product_prod_b_b,A: product_prod_b_b] :
( ( member1285940496od_b_b @ B @ ( insert1952693431od_b_b @ A @ bot_bo1343651123od_b_b ) )
=> ( B = A ) ) )
= $true ),
inference(copy,[status(thm)],[389]) ).
thf(494,plain,
( ( bot_bo1302443370_b_b_o
= ( ^ [X5: product_prod_b_b] : ( member1285940496od_b_b @ X5 @ bot_bo1343651123od_b_b ) ) )
= $true ),
inference(copy,[status(thm)],[388]) ).
thf(495,plain,
( ( sym_b
= ( ^ [R3: set_Product_prod_b_b] :
! [X5: b,Y5: b] :
( ( member1285940496od_b_b @ ( product_Pair_b_b @ X5 @ Y5 ) @ R3 )
=> ( member1285940496od_b_b @ ( product_Pair_b_b @ Y5 @ X5 ) @ R3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[387]) ).
thf(496,plain,
( ( ! [R2: set_Product_prod_b_b] :
( ! [A3: b,B3: b] :
( ( member1285940496od_b_b @ ( product_Pair_b_b @ A3 @ B3 ) @ R2 )
=> ( member1285940496od_b_b @ ( product_Pair_b_b @ B3 @ A3 ) @ R2 ) )
=> ( sym_b @ R2 ) ) )
= $true ),
inference(copy,[status(thm)],[386]) ).
thf(497,plain,
( ( ! [R2: set_Product_prod_b_b,B: b,A: b] :
( ( sym_b @ R2 )
=> ( ( member1285940496od_b_b @ ( product_Pair_b_b @ B @ A ) @ R2 )
=> ( member1285940496od_b_b @ ( product_Pair_b_b @ A @ B ) @ R2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[385]) ).
thf(498,plain,
( ( ! [R2: set_Product_prod_b_b,B: b,A: b] :
( ( sym_b @ R2 )
=> ( ( member1285940496od_b_b @ ( product_Pair_b_b @ B @ A ) @ R2 )
=> ( member1285940496od_b_b @ ( product_Pair_b_b @ A @ B ) @ R2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[384]) ).
thf(499,plain,
( ( total_on_b
= ( ^ [A5: set_b,R3: set_Product_prod_b_b] :
! [X5: b] :
( ( member_b @ X5 @ A5 )
=> ! [Y5: b] :
( ( member_b @ Y5 @ A5 )
=> ( ( X5 != Y5 )
=> ( ( member1285940496od_b_b @ ( product_Pair_b_b @ X5 @ Y5 ) @ R3 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ Y5 @ X5 ) @ R3 ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[383]) ).
thf(500,plain,
( ( ! [A4: set_Product_prod_b_b,R2: set_Pr2007082183od_b_b] :
( ! [X3: product_prod_b_b,Y3: product_prod_b_b] :
( ( member1285940496od_b_b @ X3 @ A4 )
=> ( ( member1285940496od_b_b @ Y3 @ A4 )
=> ( ( X3 != Y3 )
=> ( ( member1652792080od_b_b @ ( produc546497367od_b_b @ X3 @ Y3 ) @ R2 )
| ( member1652792080od_b_b @ ( produc546497367od_b_b @ Y3 @ X3 ) @ R2 ) ) ) ) )
=> ( total_178717291od_b_b @ A4 @ R2 ) ) )
= $true ),
inference(copy,[status(thm)],[382]) ).
thf(501,plain,
( ( ! [A4: set_b,R2: set_Product_prod_b_b] :
( ! [X3: b,Y3: b] :
( ( member_b @ X3 @ A4 )
=> ( ( member_b @ Y3 @ A4 )
=> ( ( X3 != Y3 )
=> ( ( member1285940496od_b_b @ ( product_Pair_b_b @ X3 @ Y3 ) @ R2 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ Y3 @ X3 ) @ R2 ) ) ) ) )
=> ( total_on_b @ A4 @ R2 ) ) )
= $true ),
inference(copy,[status(thm)],[381]) ).
thf(502,plain,
( ( ! [A4: set_Product_prod_b_b] :
( ( A4 != bot_bo1343651123od_b_b )
=> ( ! [X3: product_prod_b_b,Y3: product_prod_b_b] :
( ( member1285940496od_b_b @ X3 @ A4 )
=> ( ( member1285940496od_b_b @ Y3 @ A4 )
=> ( X3 = Y3 ) ) )
=> ( is_sin1713057243od_b_b @ A4 ) ) ) )
= $true ),
inference(copy,[status(thm)],[380]) ).
thf(503,plain,
( ( ! [P2: b > $o,X4: b,Y7: b,Y4: b,R: b > set_Product_prod_b_b] :
( ( P2 @ X4 )
=> ( ( member1285940496od_b_b @ ( product_Pair_b_b @ Y7 @ Y4 ) @ ( R @ X4 ) )
=> ( member1652792080od_b_b @ ( produc546497367od_b_b @ ( product_Pair_b_b @ X4 @ Y7 ) @ ( product_Pair_b_b @ X4 @ Y4 ) ) @ ( same_fst_b_b @ P2 @ R ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[379]) ).
thf(504,plain,
( ( ! [Y4: b,Z: b,L: a,G: labeled_graph_a_b,G2: labeled_graph_a_b] :
( ( member1285940496od_b_b @ ( product_Pair_b_b @ Y4 @ Z ) @ ( getRel_a_b @ L @ G ) )
=> ( ( graph_1322245399_a_b_b @ G @ G2 @ ( id_on_b @ ( labeled_vertices_a_b @ G ) ) )
=> ( member1285940496od_b_b @ ( product_Pair_b_b @ Y4 @ Z ) @ ( getRel_a_b @ L @ G2 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[378]) ).
thf(505,plain,
( ( ! [A4: set_Product_prod_b_b,B4: set_Product_prod_b_b] :
( ! [X3: product_prod_b_b] :
( ( member1285940496od_b_b @ X3 @ A4 )
=> ( member1285940496od_b_b @ X3 @ B4 ) )
=> ( ord_le1036320359od_b_b @ A4 @ B4 ) ) )
= $true ),
inference(copy,[status(thm)],[377]) ).
thf(506,plain,
( ( ! [X4: product_prod_b_b,A4: set_Product_prod_b_b,B4: set_Product_prod_b_b] :
( ( ord_le1036320359od_b_b @ ( insert1952693431od_b_b @ X4 @ A4 ) @ B4 )
= ( ( member1285940496od_b_b @ X4 @ B4 )
& ( ord_le1036320359od_b_b @ A4 @ B4 ) ) ) )
= $true ),
inference(copy,[status(thm)],[376]) ).
thf(507,plain,
( ( ! [A: product_prod_b_b,A4: set_Product_prod_b_b] :
( ( member1285940496od_b_b @ A @ A4 )
=> ( member1652792080od_b_b @ ( produc546497367od_b_b @ A @ A ) @ ( id_on_2019020932od_b_b @ A4 ) ) ) )
= $true ),
inference(copy,[status(thm)],[375]) ).
thf(508,plain,
( ( ! [A: b,A4: set_b] :
( ( member_b @ A @ A4 )
=> ( member1285940496od_b_b @ ( product_Pair_b_b @ A @ A ) @ ( id_on_b @ A4 ) ) ) )
= $true ),
inference(copy,[status(thm)],[374]) ).
thf(509,plain,
( ( ! [C2: produc1168037607od_b_b,A4: set_Product_prod_b_b] :
( ( member1652792080od_b_b @ C2 @ ( id_on_2019020932od_b_b @ A4 ) )
=> ~ ! [X3: product_prod_b_b] :
( ( member1285940496od_b_b @ X3 @ A4 )
=> ( C2
!= ( produc546497367od_b_b @ X3 @ X3 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[373]) ).
thf(510,plain,
( ( ! [C2: product_prod_b_b,A4: set_b] :
( ( member1285940496od_b_b @ C2 @ ( id_on_b @ A4 ) )
=> ~ ! [X3: b] :
( ( member_b @ X3 @ A4 )
=> ( C2
!= ( product_Pair_b_b @ X3 @ X3 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[372]) ).
thf(511,plain,
( ( ! [A: product_prod_b_b,B: product_prod_b_b,A4: set_Product_prod_b_b] :
( ( A = B )
=> ( ( member1285940496od_b_b @ A @ A4 )
=> ( member1652792080od_b_b @ ( produc546497367od_b_b @ A @ B ) @ ( id_on_2019020932od_b_b @ A4 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[371]) ).
thf(512,plain,
( ( ! [A: b,B: b,A4: set_b] :
( ( A = B )
=> ( ( member_b @ A @ A4 )
=> ( member1285940496od_b_b @ ( product_Pair_b_b @ A @ B ) @ ( id_on_b @ A4 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[370]) ).
thf(513,plain,
( ( ! [X4: product_prod_b_b,Y4: product_prod_b_b,A4: set_Product_prod_b_b] :
( ( member1652792080od_b_b @ ( produc546497367od_b_b @ X4 @ Y4 ) @ ( id_on_2019020932od_b_b @ A4 ) )
= ( ( X4 = Y4 )
& ( member1285940496od_b_b @ X4 @ A4 ) ) ) )
= $true ),
inference(copy,[status(thm)],[369]) ).
thf(514,plain,
( ( ! [X4: b,Y4: b,A4: set_b] :
( ( member1285940496od_b_b @ ( product_Pair_b_b @ X4 @ Y4 ) @ ( id_on_b @ A4 ) )
= ( ( X4 = Y4 )
& ( member_b @ X4 @ A4 ) ) ) )
= $true ),
inference(copy,[status(thm)],[368]) ).
thf(515,plain,
( ( ! [R2: set_Product_prod_b_b,S: set_Product_prod_b_b] :
( ! [X3: b,Y3: b] :
( ( member1285940496od_b_b @ ( product_Pair_b_b @ X3 @ Y3 ) @ R2 )
=> ( member1285940496od_b_b @ ( product_Pair_b_b @ X3 @ Y3 ) @ S ) )
=> ( ord_le1036320359od_b_b @ R2 @ S ) ) )
= $true ),
inference(copy,[status(thm)],[367]) ).
thf(516,plain,
( ( ! [X4: product_prod_b_b,A4: set_Product_prod_b_b,B4: set_Product_prod_b_b] :
( ~ ( member1285940496od_b_b @ X4 @ A4 )
=> ( ( ord_le1036320359od_b_b @ A4 @ ( insert1952693431od_b_b @ X4 @ B4 ) )
= ( ord_le1036320359od_b_b @ A4 @ B4 ) ) ) )
= $true ),
inference(copy,[status(thm)],[366]) ).
thf(517,plain,
( ( ord_le1036320359od_b_b
= ( ^ [A5: set_Product_prod_b_b,B6: set_Product_prod_b_b] :
! [T: product_prod_b_b] :
( ( member1285940496od_b_b @ T @ A5 )
=> ( member1285940496od_b_b @ T @ B6 ) ) ) )
= $true ),
inference(copy,[status(thm)],[365]) ).
thf(518,plain,
( ( ord_le1036320359od_b_b
= ( ^ [A5: set_Product_prod_b_b,B6: set_Product_prod_b_b] :
! [X5: product_prod_b_b] :
( ( member1285940496od_b_b @ X5 @ A5 )
=> ( member1285940496od_b_b @ X5 @ B6 ) ) ) )
= $true ),
inference(copy,[status(thm)],[364]) ).
thf(519,plain,
( ( ! [A4: set_Product_prod_b_b,B4: set_Product_prod_b_b,C2: product_prod_b_b] :
( ( ord_le1036320359od_b_b @ A4 @ B4 )
=> ( ( member1285940496od_b_b @ C2 @ A4 )
=> ( member1285940496od_b_b @ C2 @ B4 ) ) ) )
= $true ),
inference(copy,[status(thm)],[363]) ).
thf(520,plain,
( ( ! [A4: set_Product_prod_b_b,B4: set_Product_prod_b_b,X4: product_prod_b_b] :
( ( ord_le1036320359od_b_b @ A4 @ B4 )
=> ( ( member1285940496od_b_b @ X4 @ A4 )
=> ( member1285940496od_b_b @ X4 @ B4 ) ) ) )
= $true ),
inference(copy,[status(thm)],[362]) ).
thf(521,plain,
( ( ! [X4: product_prod_b_b,A4: set_Product_prod_b_b,X6: set_Product_prod_b_b] :
( ( member1285940496od_b_b @ X4 @ A4 )
=> ( ( ord_le1036320359od_b_b @ X6 @ A4 )
=> ( ord_le1036320359od_b_b @ ( insert1952693431od_b_b @ X4 @ X6 ) @ A4 ) ) ) )
= $true ),
inference(copy,[status(thm)],[361]) ).
thf(522,plain,
( ( ! [R2: b,S: b,R: set_Product_prod_b_b,S2: b] :
( ( member1285940496od_b_b @ ( product_Pair_b_b @ R2 @ S ) @ R )
=> ( ( S2 = S )
=> ( member1285940496od_b_b @ ( product_Pair_b_b @ R2 @ S2 ) @ R ) ) ) )
= $true ),
inference(copy,[status(thm)],[360]) ).
thf(523,plain,
( ( ! [A4: set_Product_prod_b_b] :
( ! [X3: product_prod_b_b] :
~ ( member1285940496od_b_b @ X3 @ A4 )
=> ( ord_le1036320359od_b_b @ A4 @ bot_bo1343651123od_b_b ) ) )
= $true ),
inference(copy,[status(thm)],[359]) ).
thf(524,plain,
( ( ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ z @ y ) @ ( getRel_a_b @ i @ g ) ) )
= $true ),
inference(copy,[status(thm)],[441]) ).
thf(525,plain,
( ( ! [SX0: set_b,SX1: set_Product_prod_b_b,SX2: b] :
( ~ ( refl_on_b @ SX0 @ SX1 )
| ~ ( member_b @ SX2 @ SX0 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SX2 @ SX2 ) @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[469]) ).
thf(526,plain,
( ( ! [SX0: product_prod_b_b,SX1: set_Product_prod_b_b] :
( ~ ( member1285940496od_b_b @ SX0 @ SX1 )
| ( ( insert1952693431od_b_b @ SX0 @ SX1 )
= SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[486]) ).
thf(527,plain,
( ( ! [SX0: product_prod_b_b,SX1: set_b] :
( ~ ( member1285940496od_b_b @ SX0 @ ( id_on_b @ SX1 ) )
| ~ ! [SX2: b] :
( ~ ( member_b @ SX2 @ SX1 )
| ( SX0
!= ( product_Pair_b_b @ SX2 @ SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[510]) ).
thf(528,plain,
( ( ! [SX0: product_prod_b_b] :
~ ! [SX1: b,SX2: b] :
( SX0
!= ( product_Pair_b_b @ SX1 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[455]) ).
thf(529,plain,
( ( ! [SX0: set_Product_prod_b_b,SX1: set_Pr2007082183od_b_b,SX2: product_prod_b_b,SX3: product_prod_b_b] :
( ~ ( refl_o2134473190od_b_b @ SX0 @ SX1 )
| ~ ( member1652792080od_b_b @ ( produc546497367od_b_b @ SX2 @ SX3 ) @ SX1 )
| ( member1285940496od_b_b @ SX3 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[462]) ).
thf(530,plain,
( ( ! [SX0: set_b,SX1: set_Product_prod_b_b,SX2: b,SX3: b] :
( ~ ( refl_on_b @ SX0 @ SX1 )
| ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SX2 @ SX3 ) @ SX1 )
| ( member_b @ SX2 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[471]) ).
thf(531,plain,
( ( trans_b
= ( ^ [SX0: set_Product_prod_b_b] :
! [SX1: b,SX2: b,SX3: b] :
( ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SX1 @ SX2 ) @ SX0 )
| ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SX2 @ SX3 ) @ SX0 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SX1 @ SX3 ) @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[467]) ).
thf(532,plain,
( ( ! [SX0: product_prod_b_b > $o,SX1: product_prod_b_b] :
( ~ ! [SX2: b,SX3: b] : ( SX0 @ ( product_Pair_b_b @ SX2 @ SX3 ) )
| ( SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[450]) ).
thf(533,plain,
( ( ! [SX0: set_b,SX1: set_Product_prod_b_b] :
( ~ ! [SX2: b,SX3: b] :
( ~ ( member_b @ SX2 @ SX0 )
| ~ ( member_b @ SX3 @ SX0 )
| ~ ( ( SX2 != SX3 ) )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SX2 @ SX3 ) @ SX1 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SX3 @ SX2 ) @ SX1 ) )
| ( total_on_b @ SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[501]) ).
thf(534,plain,
( ( ! [SX0: product_prod_b_b > $o,SX1: product_prod_b_b] :
( ~ ! [SX2: b,SX3: b] : ( SX0 @ ( product_Pair_b_b @ SX2 @ SX3 ) )
| ( SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[454]) ).
thf(535,plain,
( ( ! [SX0: set_Product_prod_b_b,SX1: set_Product_prod_b_b] :
( ~ ! [SX2: b,SX3: b] :
( ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SX2 @ SX3 ) @ SX0 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SX2 @ SX3 ) @ SX1 ) )
| ( ord_le1036320359od_b_b @ SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[515]) ).
thf(536,plain,
( ( ! [SX0: product_prod_b_b,SX1: set_Product_prod_b_b,SX2: set_Product_prod_b_b] :
( ( ord_le1036320359od_b_b @ ( insert1952693431od_b_b @ SX0 @ SX1 ) @ SX2 )
= ( ~ ( ~ ( member1285940496od_b_b @ SX0 @ SX2 )
| ~ ( ord_le1036320359od_b_b @ SX1 @ SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[506]) ).
thf(537,plain,
( ( ! [SX0: b,SX1: b,SX2: b,SX3: b] :
( ( ( product_Pair_b_b @ SX0 @ SX1 )
= ( product_Pair_b_b @ SX2 @ SX3 ) )
= ( ~ ( ( SX0 != SX2 )
| ( SX1 != SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[448]) ).
thf(538,plain,
( ( ! [SX0: b,SX1: b,SX2: a,SX3: labeled_graph_a_b,SX4: labeled_graph_a_b] :
( ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SX0 @ SX1 ) @ ( getRel_a_b @ SX2 @ SX3 ) )
| ~ ( graph_1322245399_a_b_b @ SX3 @ SX4 @ ( id_on_b @ ( labeled_vertices_a_b @ SX3 ) ) )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SX0 @ SX1 ) @ ( getRel_a_b @ SX2 @ SX4 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[504]) ).
thf(539,plain,
( ( ! [SX0: product_prod_b_b,SX1: set_Product_prod_b_b,SX2: product_prod_b_b] :
( ~ ( member1285940496od_b_b @ SX0 @ SX1 )
| ( member1285940496od_b_b @ SX0 @ ( insert1952693431od_b_b @ SX2 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[489]) ).
thf(540,plain,
( ( ! [SX0: set_Product_prod_b_b,SX1: set_Product_prod_b_b,SX2: product_prod_b_b] :
( ~ ( ord_le1036320359od_b_b @ SX0 @ SX1 )
| ~ ( member1285940496od_b_b @ SX2 @ SX0 )
| ( member1285940496od_b_b @ SX2 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[520]) ).
thf(541,plain,
( ( ! [SX0: b,SX1: set_b] :
( ~ ( member_b @ SX0 @ SX1 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SX0 @ SX0 ) @ ( id_on_b @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[508]) ).
thf(542,plain,
( ( ! [SX0: produc1168037607od_b_b] :
~ ! [SX1: product_prod_b_b,SX2: b,SX3: b] :
( SX0
!= ( produc546497367od_b_b @ SX1 @ ( product_Pair_b_b @ SX2 @ SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[452]) ).
thf(543,plain,
( ( ! [SX0: set_Product_prod_b_b,SX1: b,SX2: b,SX3: b] :
( ~ ( trans_b @ SX0 )
| ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SX1 @ SX2 ) @ SX0 )
| ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SX2 @ SX3 ) @ SX0 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SX1 @ SX3 ) @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[464]) ).
thf(544,plain,
( ( ! [SX0: b,SX1: b,SX2: b,SX3: b] :
( ( ( product_Pair_b_b @ SX0 @ SX1 )
= ( product_Pair_b_b @ SX2 @ SX3 ) )
= ( ~ ( ( SX0 != SX2 )
| ( SX1 != SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[447]) ).
thf(545,plain,
( ( ! [SX0: set_Product_prod_b_b,SX1: set_Product_prod_b_b] :
( ~ ! [SX2: product_prod_b_b] :
( ~ ( member1285940496od_b_b @ SX2 @ SX0 )
| ( member1285940496od_b_b @ SX2 @ SX1 ) )
| ( ord_le1036320359od_b_b @ SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[505]) ).
thf(546,plain,
( ( sym_b
= ( ^ [SX0: set_Product_prod_b_b] :
! [SX1: b,SX2: b] :
( ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SX1 @ SX2 ) @ SX0 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SX2 @ SX1 ) @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[495]) ).
thf(547,plain,
( ( ! [SX0: produc1133639312od_b_b > $o,SX1: produc1133639312od_b_b] :
( ~ ! [SX2: a,SX3: b,SX4: b] : ( SX0 @ ( produc2135284224od_b_b @ SX2 @ ( product_Pair_b_b @ SX3 @ SX4 ) ) )
| ( SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[457]) ).
thf(548,plain,
( ( ord_le1036320359od_b_b
= ( ^ [SX0: set_Product_prod_b_b,SX1: set_Product_prod_b_b] :
! [SX2: product_prod_b_b] :
( ~ ( member1285940496od_b_b @ SX2 @ SX0 )
| ( member1285940496od_b_b @ SX2 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[517]) ).
thf(549,plain,
( ( ord_le1036320359od_b_b
= ( ^ [SX0: set_Product_prod_b_b,SX1: set_Product_prod_b_b] :
! [SX2: product_prod_b_b] :
( ~ ( member1285940496od_b_b @ SX2 @ SX0 )
| ( member1285940496od_b_b @ SX2 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[518]) ).
thf(550,plain,
( ( ! [SX0: product_prod_b_b,SX1: set_Product_prod_b_b] :
( ~ ( member1285940496od_b_b @ SX0 @ SX1 )
| ( member1652792080od_b_b @ ( produc546497367od_b_b @ SX0 @ SX0 ) @ ( id_on_2019020932od_b_b @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[507]) ).
thf(551,plain,
( ( ! [SX0: produc1168037607od_b_b,SX1: set_Product_prod_b_b] :
( ~ ( member1652792080od_b_b @ SX0 @ ( id_on_2019020932od_b_b @ SX1 ) )
| ~ ! [SX2: product_prod_b_b] :
( ~ ( member1285940496od_b_b @ SX2 @ SX1 )
| ( SX0
!= ( produc546497367od_b_b @ SX2 @ SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[509]) ).
thf(552,plain,
( ( ! [SX0: product_prod_b_b,SX1: set_Product_prod_b_b,SX2: product_prod_b_b] :
( ~ ( ~ ~ ( member1285940496od_b_b @ SX0 @ SX1 )
| ( SX0 = SX2 ) )
| ( member1285940496od_b_b @ SX0 @ ( insert1952693431od_b_b @ SX2 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[476]) ).
thf(553,plain,
( ( ! [SX0: set_Product_prod_b_b,SX1: set_Pr2007082183od_b_b,SX2: product_prod_b_b,SX3: product_prod_b_b] :
( ~ ( refl_o2134473190od_b_b @ SX0 @ SX1 )
| ~ ( member1652792080od_b_b @ ( produc546497367od_b_b @ SX2 @ SX3 ) @ SX1 )
| ( member1285940496od_b_b @ SX2 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[470]) ).
thf(554,plain,
( ( ! [SX0: product_prod_b_b,SX1: product_prod_b_b,SX2: set_Product_prod_b_b] :
( ~ ( member1285940496od_b_b @ SX0 @ ( insert1952693431od_b_b @ SX1 @ SX2 ) )
| ~ ( ( SX0 != SX1 ) )
| ( member1285940496od_b_b @ SX0 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[491]) ).
thf(555,plain,
( ( ! [SX0: set_Product_prod_b_b,SX1: b,SX2: b] :
( ~ ( sym_b @ SX0 )
| ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SX1 @ SX2 ) @ SX0 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SX2 @ SX1 ) @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[498]) ).
thf(556,plain,
( ( ! [SX0: labeled_graph_a_b,SX1: b,SX2: b,SX3: a] :
( ( SX0
!= ( restrict_a_b @ SX0 ) )
| ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SX1 @ SX2 ) @ ( getRel_a_b @ SX3 @ SX0 ) )
| ( member_b @ SX1 @ ( labeled_vertices_a_b @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[458]) ).
thf(557,plain,
( ( ! [SX0: set_Product_prod_b_b] :
( ( ~ ! [SX1: product_prod_b_b] :
~ ( member1285940496od_b_b @ SX1 @ SX0 ) )
= ( SX0 != bot_bo1343651123od_b_b ) ) )
= $true ),
inference(unfold_def,[status(thm)],[480]) ).
thf(558,plain,
( ( ! [SX0: product_prod_b_b,SX1: product_prod_b_b,SX2: set_Product_prod_b_b] :
( ( SX0 != SX1 )
| ~ ( member1285940496od_b_b @ SX0 @ SX2 )
| ( member1652792080od_b_b @ ( produc546497367od_b_b @ SX0 @ SX1 ) @ ( id_on_2019020932od_b_b @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[511]) ).
thf(559,plain,
( ( total_on_b
= ( ^ [SX0: set_b,SX1: set_Product_prod_b_b] :
! [SX2: b] :
( ~ ( member_b @ SX2 @ SX0 )
| ! [SX3: b] :
( ~ ( member_b @ SX3 @ SX0 )
| ~ ( ( SX2 != SX3 ) )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SX2 @ SX3 ) @ SX1 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SX3 @ SX2 ) @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[499]) ).
thf(560,plain,
( ( ! [SX0: set_Product_prod_b_b,SX1: set_Product_prod_b_b,SX2: product_prod_b_b] :
( ~ ( ord_le1036320359od_b_b @ SX0 @ SX1 )
| ~ ( member1285940496od_b_b @ SX2 @ SX0 )
| ( member1285940496od_b_b @ SX2 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[519]) ).
thf(561,plain,
( ( ! [SX0: product_prod_b_b] :
~ ! [SX1: b] :
~ ~ ! [SX2: b] :
( SX0
!= ( product_Pair_b_b @ SX1 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[449]) ).
thf(562,plain,
( ( ! [SX0: labeled_graph_a_b,SX1: b,SX2: b,SX3: a] :
( ( SX0
!= ( restrict_a_b @ SX0 ) )
| ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SX1 @ SX2 ) @ ( getRel_a_b @ SX3 @ SX0 ) )
| ( member_b @ SX2 @ ( labeled_vertices_a_b @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[459]) ).
thf(563,plain,
( ( ! [SX0: b,SX1: b,SX2: b,SX3: b] :
( ( ( product_Pair_b_b @ SX0 @ SX1 )
!= ( product_Pair_b_b @ SX2 @ SX3 ) )
| ~ ( ( SX0 != SX2 )
| ( SX1 != SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[451]) ).
thf(564,plain,
( ( ! [SX0: product_prod_b_b,SX1: set_Product_prod_b_b,SX2: set_Product_prod_b_b] :
( ~ ~ ( member1285940496od_b_b @ SX0 @ SX1 )
| ( ( ord_le1036320359od_b_b @ SX1 @ ( insert1952693431od_b_b @ SX0 @ SX2 ) )
= ( ord_le1036320359od_b_b @ SX1 @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[516]) ).
thf(565,plain,
( ( ~ ( ~ ~ ( ~ ( refl_on_b @ ( labeled_vertices_a_b @ g ) @ ( getRel_a_b @ i @ g ) )
| ~ ! [SX0: b,SX1: b] :
( ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SX0 @ SX1 ) @ ( getRel_a_b @ i @ g ) )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SX1 @ SX0 ) @ ( getRel_a_b @ i @ g ) ) ) )
| ~ ( trans_b @ ( getRel_a_b @ i @ g ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[442]) ).
thf(566,plain,
( ( ! [SX0: set_Product_prod_b_b,SX1: set_Pr2007082183od_b_b,SX2: product_prod_b_b] :
( ~ ( refl_o2134473190od_b_b @ SX0 @ SX1 )
| ~ ( member1285940496od_b_b @ SX2 @ SX0 )
| ( member1652792080od_b_b @ ( produc546497367od_b_b @ SX2 @ SX2 ) @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[468]) ).
thf(567,plain,
( ( ! [SX0: set_Product_prod_b_b] :
( ~ ! [SX1: b,SX2: b,SX3: b] :
( ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SX1 @ SX2 ) @ SX0 )
| ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SX2 @ SX3 ) @ SX0 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SX1 @ SX3 ) @ SX0 ) )
| ( trans_b @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[466]) ).
thf(568,plain,
( ( ! [SX0: set_Product_prod_b_b,SX1: set_Pr2007082183od_b_b] :
( ~ ! [SX2: product_prod_b_b,SX3: product_prod_b_b] :
( ~ ( member1285940496od_b_b @ SX2 @ SX0 )
| ~ ( member1285940496od_b_b @ SX3 @ SX0 )
| ~ ( ( SX2 != SX3 ) )
| ( member1652792080od_b_b @ ( produc546497367od_b_b @ SX2 @ SX3 ) @ SX1 )
| ( member1652792080od_b_b @ ( produc546497367od_b_b @ SX3 @ SX2 ) @ SX1 ) )
| ( total_178717291od_b_b @ SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[500]) ).
thf(569,plain,
( ( ! [SX0: product_prod_b_b,SX1: product_prod_b_b] :
( ~ ( member1285940496od_b_b @ SX0 @ ( insert1952693431od_b_b @ SX1 @ bot_bo1343651123od_b_b ) )
| ( SX0 = SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[493]) ).
thf(570,plain,
( ( ! [SX0: produc1168037607od_b_b > $o,SX1: produc1168037607od_b_b] :
( ~ ! [SX2: product_prod_b_b,SX3: b,SX4: b] : ( SX0 @ ( produc546497367od_b_b @ SX2 @ ( product_Pair_b_b @ SX3 @ SX4 ) ) )
| ( SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[456]) ).
thf(571,plain,
( ( ! [SX0: b,SX1: b,SX2: set_b] :
( ( member1285940496od_b_b @ ( product_Pair_b_b @ SX0 @ SX1 ) @ ( id_on_b @ SX2 ) )
= ( ~ ( ( SX0 != SX1 )
| ~ ( member_b @ SX0 @ SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[514]) ).
thf(572,plain,
( ( ! [SX0: b > $o,SX1: b,SX2: b,SX3: b,SX4: b > set_Product_prod_b_b] :
( ~ ( SX0 @ SX1 )
| ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SX2 @ SX3 ) @ ( SX4 @ SX1 ) )
| ( member1652792080od_b_b @ ( produc546497367od_b_b @ ( product_Pair_b_b @ SX1 @ SX2 ) @ ( product_Pair_b_b @ SX1 @ SX3 ) ) @ ( same_fst_b_b @ SX0 @ SX4 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[503]) ).
thf(573,plain,
( ( ! [SX0: set_Product_prod_b_b,SX1: b,SX2: b] :
( ~ ( sym_b @ SX0 )
| ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SX1 @ SX2 ) @ SX0 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SX2 @ SX1 ) @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[497]) ).
thf(574,plain,
( ( ! [SX0: product_prod_b_b,SX1: product_prod_b_b,SX2: set_Product_prod_b_b] :
( ( member1652792080od_b_b @ ( produc546497367od_b_b @ SX0 @ SX1 ) @ ( id_on_2019020932od_b_b @ SX2 ) )
= ( ~ ( ( SX0 != SX1 )
| ~ ( member1285940496od_b_b @ SX0 @ SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[513]) ).
thf(575,plain,
( ( ! [SX0: set_b,SX1: set_Product_prod_b_b,SX2: b,SX3: b] :
( ~ ( refl_on_b @ SX0 @ SX1 )
| ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SX2 @ SX3 ) @ SX1 )
| ( member_b @ SX3 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[463]) ).
thf(576,plain,
( ( ! [SX0: set_Product_prod_b_b] :
( ~ ( ( SX0 != bot_bo1343651123od_b_b ) )
| ~ ! [SX1: product_prod_b_b,SX2: product_prod_b_b] :
( ~ ( member1285940496od_b_b @ SX1 @ SX0 )
| ~ ( member1285940496od_b_b @ SX2 @ SX0 )
| ( SX1 = SX2 ) )
| ( is_sin1713057243od_b_b @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[502]) ).
thf(577,plain,
( ( ! [SX0: set_Product_prod_b_b] :
( ~ ! [SX1: product_prod_b_b] :
~ ( member1285940496od_b_b @ SX1 @ SX0 )
| ( SX0 = bot_bo1343651123od_b_b ) ) )
= $true ),
inference(unfold_def,[status(thm)],[481]) ).
thf(578,plain,
( ( ! [SX0: set_Product_prod_b_b] :
( ~ ! [SX1: product_prod_b_b] :
~ ( member1285940496od_b_b @ SX1 @ SX0 )
| ( ord_le1036320359od_b_b @ SX0 @ bot_bo1343651123od_b_b ) ) )
= $true ),
inference(unfold_def,[status(thm)],[523]) ).
thf(579,plain,
( ( ! [SX0: produc1133639312od_b_b] :
~ ! [SX1: a,SX2: b,SX3: b] :
( SX0
!= ( produc2135284224od_b_b @ SX1 @ ( product_Pair_b_b @ SX2 @ SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[453]) ).
thf(580,plain,
( ( ! [SX0: b,SX1: b,SX2: set_b] :
( ( SX0 != SX1 )
| ~ ( member_b @ SX0 @ SX2 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SX0 @ SX1 ) @ ( id_on_b @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[512]) ).
thf(581,plain,
( ( ! [SX0: set_Product_prod_b_b] :
( ~ ! [SX1: b,SX2: b] :
( ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SX1 @ SX2 ) @ SX0 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SX2 @ SX1 ) @ SX0 ) )
| ( sym_b @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[496]) ).
thf(582,plain,
( ( ! [SX0: set_b,SX1: set_Product_prod_b_b,SX2: b,SX3: b] :
( ~ ( refl_on_b @ SX0 @ SX1 )
| ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SX2 @ SX3 ) @ SX1 )
| ~ ( ~ ( member_b @ SX2 @ SX0 )
| ~ ( member_b @ SX3 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[461]) ).
thf(583,plain,
( ( ! [SX0: b,SX1: b,SX2: set_Product_prod_b_b,SX3: b] :
( ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SX0 @ SX1 ) @ SX2 )
| ( SX3 != SX1 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SX0 @ SX3 ) @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[522]) ).
thf(584,plain,
( ( ! [SX0: product_prod_b_b,SX1: set_Product_prod_b_b,SX2: product_prod_b_b,SX3: set_Product_prod_b_b] :
( ~ ~ ( member1285940496od_b_b @ SX0 @ SX1 )
| ~ ~ ( member1285940496od_b_b @ SX2 @ SX3 )
| ( ( ( insert1952693431od_b_b @ SX0 @ SX1 )
= ( insert1952693431od_b_b @ SX2 @ SX3 ) )
= ( ~ ( ~ ( ( SX0 != SX2 )
| ( SX1 = SX3 ) )
| ~ ( ~ ( ( SX0 != SX2 ) )
| ~ ! [SX4: set_Product_prod_b_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SX1
!= ( insert1952693431od_b_b @ SX2 @ SX4 ) )
| ~ ~ ( member1285940496od_b_b @ SX2 @ SX4 ) )
| ( SX3
!= ( insert1952693431od_b_b @ SX0 @ SX4 ) ) )
| ~ ~ ( member1285940496od_b_b @ SX0 @ SX4 ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[485]) ).
thf(585,plain,
( ( ! [SX0: product_prod_b_b,SX1: set_Product_prod_b_b,SX2: set_Product_prod_b_b] :
( ~ ~ ( member1285940496od_b_b @ SX0 @ SX1 )
| ~ ~ ( member1285940496od_b_b @ SX0 @ SX2 )
| ( ( ( insert1952693431od_b_b @ SX0 @ SX1 )
= ( insert1952693431od_b_b @ SX0 @ SX2 ) )
= ( SX1 = SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[487]) ).
thf(586,plain,
( ( ! [SX0: set_Product_prod_b_b,SX1: product_prod_b_b] :
( ( SX0 != bot_bo1343651123od_b_b )
| ~ ( member1285940496od_b_b @ SX1 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[482]) ).
thf(587,plain,
( ( ! [SX0: set_Product_prod_b_b,SX1: set_Pr2007082183od_b_b,SX2: product_prod_b_b,SX3: product_prod_b_b] :
( ~ ( refl_o2134473190od_b_b @ SX0 @ SX1 )
| ~ ( member1652792080od_b_b @ ( produc546497367od_b_b @ SX2 @ SX3 ) @ SX1 )
| ~ ( ~ ( member1285940496od_b_b @ SX2 @ SX0 )
| ~ ( member1285940496od_b_b @ SX3 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[460]) ).
thf(588,plain,
( ( ! [SX0: product_prod_b_b,SX1: set_Product_prod_b_b,SX2: set_Product_prod_b_b] :
( ~ ( member1285940496od_b_b @ SX0 @ SX1 )
| ~ ( ord_le1036320359od_b_b @ SX2 @ SX1 )
| ( ord_le1036320359od_b_b @ ( insert1952693431od_b_b @ SX0 @ SX2 ) @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[521]) ).
thf(589,plain,
( ( ! [SX0: product_prod_b_b,SX1: set_Product_prod_b_b] :
( ~ ( member1285940496od_b_b @ SX0 @ SX1 )
| ~ ! [SX2: set_Product_prod_b_b] :
~ ~ ( ( SX1
!= ( insert1952693431od_b_b @ SX0 @ SX2 ) )
| ~ ~ ( member1285940496od_b_b @ SX0 @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[484]) ).
thf(590,plain,
( ( ! [SX0: set_Product_prod_b_b,SX1: b,SX2: b,SX3: b] :
( ~ ( trans_b @ SX0 )
| ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SX1 @ SX2 ) @ SX0 )
| ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SX2 @ SX3 ) @ SX0 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SX1 @ SX3 ) @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[465]) ).
thf(591,plain,
( ( ! [SX0: product_prod_b_b,SX1: set_Product_prod_b_b] :
( ~ ( member1285940496od_b_b @ SX0 @ SX1 )
| ~ ! [SX2: set_Product_prod_b_b] :
( ( SX1
!= ( insert1952693431od_b_b @ SX0 @ SX2 ) )
| ( member1285940496od_b_b @ SX0 @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[488]) ).
thf(592,plain,
! [SV1: product_prod_b_b] :
( ( ! [SY244: product_prod_b_b > $o] :
( ( member1285940496od_b_b @ SV1 @ ( collec1481886546od_b_b @ SY244 ) )
= ( SY244 @ SV1 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[472]) ).
thf(593,plain,
! [SV2: set_Product_prod_b_b] :
( ( ( collec1481886546od_b_b
@ ^ [SY245: product_prod_b_b] : ( member1285940496od_b_b @ SY245 @ SV2 ) )
= SV2 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[473]) ).
thf(594,plain,
! [SV3: b] :
( ( trans_b @ ( insert1952693431od_b_b @ ( product_Pair_b_b @ SV3 @ SV3 ) @ bot_bo1343651123od_b_b ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[474]) ).
thf(595,plain,
! [SV4: product_prod_b_b] :
( ( member1285940496od_b_b @ SV4 @ ( insert1952693431od_b_b @ SV4 @ bot_bo1343651123od_b_b ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[475]) ).
thf(596,plain,
! [SV5: product_prod_b_b] :
( ( ! [SY246: product_prod_b_b,SY247: set_Product_prod_b_b] :
( ( member1285940496od_b_b @ SV5 @ ( insert1952693431od_b_b @ SY246 @ SY247 ) )
= ( ( SV5 = SY246 )
| ( member1285940496od_b_b @ SV5 @ SY247 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[477]) ).
thf(597,plain,
! [SV6: product_prod_b_b] :
( ( ~ ( member1285940496od_b_b @ SV6 @ bot_bo1343651123od_b_b ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[478]) ).
thf(598,plain,
! [SV7: set_Product_prod_b_b] :
( ( ( ! [SY248: product_prod_b_b] :
~ ( member1285940496od_b_b @ SY248 @ SV7 ) )
= ( SV7 = bot_bo1343651123od_b_b ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[479]) ).
thf(599,plain,
! [SV8: product_prod_b_b] :
( ( ~ ( member1285940496od_b_b @ SV8 @ bot_bo1343651123od_b_b ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[483]) ).
thf(600,plain,
! [SV9: product_prod_b_b] :
( ( ! [SY249: set_Product_prod_b_b] : ( member1285940496od_b_b @ SV9 @ ( insert1952693431od_b_b @ SV9 @ SY249 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[490]) ).
thf(601,plain,
! [SV10: product_prod_b_b] :
( ( ! [SY250: product_prod_b_b] :
( ( member1285940496od_b_b @ SV10 @ ( insert1952693431od_b_b @ SY250 @ bot_bo1343651123od_b_b ) )
= ( SV10 = SY250 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[492]) ).
thf(602,plain,
( ( ! [SV11: product_prod_b_b] :
( ( bot_bo1302443370_b_b_o @ SV11 )
= ( member1285940496od_b_b @ SV11 @ bot_bo1343651123od_b_b ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[494]) ).
thf(603,plain,
( ( bot_bo1302443370_b_b_o
= ( ^ [X5: product_prod_b_b] : ( member1285940496od_b_b @ X5 @ bot_bo1343651123od_b_b ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[494]) ).
thf(604,plain,
( ( member1285940496od_b_b @ ( product_Pair_b_b @ z @ y ) @ ( getRel_a_b @ i @ g ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[524]) ).
thf(605,plain,
! [SV12: set_b] :
( ( ! [SY251: set_Product_prod_b_b,SY252: b] :
( ~ ( refl_on_b @ SV12 @ SY251 )
| ~ ( member_b @ SY252 @ SV12 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SY252 @ SY252 ) @ SY251 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[525]) ).
thf(606,plain,
! [SV13: product_prod_b_b] :
( ( ! [SY253: set_Product_prod_b_b] :
( ~ ( member1285940496od_b_b @ SV13 @ SY253 )
| ( ( insert1952693431od_b_b @ SV13 @ SY253 )
= SY253 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[526]) ).
thf(607,plain,
! [SV14: product_prod_b_b] :
( ( ! [SY254: set_b] :
( ~ ( member1285940496od_b_b @ SV14 @ ( id_on_b @ SY254 ) )
| ~ ! [SY255: b] :
( ~ ( member_b @ SY255 @ SY254 )
| ( SV14
!= ( product_Pair_b_b @ SY255 @ SY255 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[527]) ).
thf(608,plain,
! [SV15: product_prod_b_b] :
( ( ~ ! [SY256: b,SY257: b] :
( SV15
!= ( product_Pair_b_b @ SY256 @ SY257 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[528]) ).
thf(609,plain,
! [SV16: set_Product_prod_b_b] :
( ( ! [SY258: set_Pr2007082183od_b_b,SY259: product_prod_b_b,SY260: product_prod_b_b] :
( ~ ( refl_o2134473190od_b_b @ SV16 @ SY258 )
| ~ ( member1652792080od_b_b @ ( produc546497367od_b_b @ SY259 @ SY260 ) @ SY258 )
| ( member1285940496od_b_b @ SY260 @ SV16 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[529]) ).
thf(610,plain,
! [SV17: set_b] :
( ( ! [SY261: set_Product_prod_b_b,SY262: b,SY263: b] :
( ~ ( refl_on_b @ SV17 @ SY261 )
| ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SY262 @ SY263 ) @ SY261 )
| ( member_b @ SY262 @ SV17 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[530]) ).
thf(611,plain,
( ( ! [SV18: set_Product_prod_b_b] :
( ( trans_b @ SV18 )
= ( ! [SY264: b,SY265: b,SY266: b] :
( ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SY264 @ SY265 ) @ SV18 )
| ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SY265 @ SY266 ) @ SV18 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SY264 @ SY266 ) @ SV18 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[531]) ).
thf(612,plain,
( ( trans_b
= ( ^ [SX0: set_Product_prod_b_b] :
! [SX1: b,SX2: b,SX3: b] :
( ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SX1 @ SX2 ) @ SX0 )
| ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SX2 @ SX3 ) @ SX0 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SX1 @ SX3 ) @ SX0 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[531]) ).
thf(613,plain,
! [SV19: product_prod_b_b > $o] :
( ( ! [SY267: product_prod_b_b] :
( ~ ! [SY268: b,SY269: b] : ( SV19 @ ( product_Pair_b_b @ SY268 @ SY269 ) )
| ( SV19 @ SY267 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[532]) ).
thf(614,plain,
! [SV20: set_b] :
( ( ! [SY270: set_Product_prod_b_b] :
( ~ ! [SY271: b,SY272: b] :
( ~ ( member_b @ SY271 @ SV20 )
| ~ ( member_b @ SY272 @ SV20 )
| ~ ( ( SY271 != SY272 ) )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SY271 @ SY272 ) @ SY270 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SY272 @ SY271 ) @ SY270 ) )
| ( total_on_b @ SV20 @ SY270 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[533]) ).
thf(615,plain,
! [SV21: product_prod_b_b > $o] :
( ( ! [SY273: product_prod_b_b] :
( ~ ! [SY274: b,SY275: b] : ( SV21 @ ( product_Pair_b_b @ SY274 @ SY275 ) )
| ( SV21 @ SY273 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[534]) ).
thf(616,plain,
! [SV22: set_Product_prod_b_b] :
( ( ! [SY276: set_Product_prod_b_b] :
( ~ ! [SY277: b,SY278: b] :
( ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SY277 @ SY278 ) @ SV22 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SY277 @ SY278 ) @ SY276 ) )
| ( ord_le1036320359od_b_b @ SV22 @ SY276 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[535]) ).
thf(617,plain,
! [SV23: product_prod_b_b] :
( ( ! [SY279: set_Product_prod_b_b,SY280: set_Product_prod_b_b] :
( ( ord_le1036320359od_b_b @ ( insert1952693431od_b_b @ SV23 @ SY279 ) @ SY280 )
= ( ~ ( ~ ( member1285940496od_b_b @ SV23 @ SY280 )
| ~ ( ord_le1036320359od_b_b @ SY279 @ SY280 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[536]) ).
thf(618,plain,
! [SV24: b] :
( ( ! [SY281: b,SY282: b,SY283: b] :
( ( ( product_Pair_b_b @ SV24 @ SY281 )
= ( product_Pair_b_b @ SY282 @ SY283 ) )
= ( ~ ( ( SV24 != SY282 )
| ( SY281 != SY283 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[537]) ).
thf(619,plain,
! [SV25: b] :
( ( ! [SY284: b,SY285: a,SY286: labeled_graph_a_b,SY287: labeled_graph_a_b] :
( ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SV25 @ SY284 ) @ ( getRel_a_b @ SY285 @ SY286 ) )
| ~ ( graph_1322245399_a_b_b @ SY286 @ SY287 @ ( id_on_b @ ( labeled_vertices_a_b @ SY286 ) ) )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SV25 @ SY284 ) @ ( getRel_a_b @ SY285 @ SY287 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[538]) ).
thf(620,plain,
! [SV26: product_prod_b_b] :
( ( ! [SY288: set_Product_prod_b_b,SY289: product_prod_b_b] :
( ~ ( member1285940496od_b_b @ SV26 @ SY288 )
| ( member1285940496od_b_b @ SV26 @ ( insert1952693431od_b_b @ SY289 @ SY288 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[539]) ).
thf(621,plain,
! [SV27: set_Product_prod_b_b] :
( ( ! [SY290: set_Product_prod_b_b,SY291: product_prod_b_b] :
( ~ ( ord_le1036320359od_b_b @ SV27 @ SY290 )
| ~ ( member1285940496od_b_b @ SY291 @ SV27 )
| ( member1285940496od_b_b @ SY291 @ SY290 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[540]) ).
thf(622,plain,
! [SV28: b] :
( ( ! [SY292: set_b] :
( ~ ( member_b @ SV28 @ SY292 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SV28 @ SV28 ) @ ( id_on_b @ SY292 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[541]) ).
thf(623,plain,
! [SV29: produc1168037607od_b_b] :
( ( ~ ! [SY293: product_prod_b_b,SY294: b,SY295: b] :
( SV29
!= ( produc546497367od_b_b @ SY293 @ ( product_Pair_b_b @ SY294 @ SY295 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[542]) ).
thf(624,plain,
! [SV30: set_Product_prod_b_b] :
( ( ! [SY296: b,SY297: b,SY298: b] :
( ~ ( trans_b @ SV30 )
| ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SY296 @ SY297 ) @ SV30 )
| ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SY297 @ SY298 ) @ SV30 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SY296 @ SY298 ) @ SV30 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[543]) ).
thf(625,plain,
! [SV31: b] :
( ( ! [SY299: b,SY300: b,SY301: b] :
( ( ( product_Pair_b_b @ SV31 @ SY299 )
= ( product_Pair_b_b @ SY300 @ SY301 ) )
= ( ~ ( ( SV31 != SY300 )
| ( SY299 != SY301 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[544]) ).
thf(626,plain,
! [SV32: set_Product_prod_b_b] :
( ( ! [SY302: set_Product_prod_b_b] :
( ~ ! [SY303: product_prod_b_b] :
( ~ ( member1285940496od_b_b @ SY303 @ SV32 )
| ( member1285940496od_b_b @ SY303 @ SY302 ) )
| ( ord_le1036320359od_b_b @ SV32 @ SY302 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[545]) ).
thf(627,plain,
( ( ! [SV33: set_Product_prod_b_b] :
( ( sym_b @ SV33 )
= ( ! [SY304: b,SY305: b] :
( ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SY304 @ SY305 ) @ SV33 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SY305 @ SY304 ) @ SV33 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[546]) ).
thf(628,plain,
( ( sym_b
= ( ^ [SX0: set_Product_prod_b_b] :
! [SX1: b,SX2: b] :
( ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SX1 @ SX2 ) @ SX0 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SX2 @ SX1 ) @ SX0 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[546]) ).
thf(629,plain,
! [SV34: produc1133639312od_b_b > $o] :
( ( ! [SY306: produc1133639312od_b_b] :
( ~ ! [SY307: a,SY308: b,SY309: b] : ( SV34 @ ( produc2135284224od_b_b @ SY307 @ ( product_Pair_b_b @ SY308 @ SY309 ) ) )
| ( SV34 @ SY306 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[547]) ).
thf(630,plain,
( ( ! [SV35: set_Product_prod_b_b] :
( ( ord_le1036320359od_b_b @ SV35 )
= ( ^ [SY310: set_Product_prod_b_b] :
! [SY311: product_prod_b_b] :
( ~ ( member1285940496od_b_b @ SY311 @ SV35 )
| ( member1285940496od_b_b @ SY311 @ SY310 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[548]) ).
thf(631,plain,
( ( ord_le1036320359od_b_b
= ( ^ [SX0: set_Product_prod_b_b,SX1: set_Product_prod_b_b] :
! [SX2: product_prod_b_b] :
( ~ ( member1285940496od_b_b @ SX2 @ SX0 )
| ( member1285940496od_b_b @ SX2 @ SX1 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[548]) ).
thf(632,plain,
( ( ! [SV36: set_Product_prod_b_b] :
( ( ord_le1036320359od_b_b @ SV36 )
= ( ^ [SY312: set_Product_prod_b_b] :
! [SY313: product_prod_b_b] :
( ~ ( member1285940496od_b_b @ SY313 @ SV36 )
| ( member1285940496od_b_b @ SY313 @ SY312 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[549]) ).
thf(633,plain,
( ( ord_le1036320359od_b_b
= ( ^ [SX0: set_Product_prod_b_b,SX1: set_Product_prod_b_b] :
! [SX2: product_prod_b_b] :
( ~ ( member1285940496od_b_b @ SX2 @ SX0 )
| ( member1285940496od_b_b @ SX2 @ SX1 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[549]) ).
thf(634,plain,
! [SV37: product_prod_b_b] :
( ( ! [SY314: set_Product_prod_b_b] :
( ~ ( member1285940496od_b_b @ SV37 @ SY314 )
| ( member1652792080od_b_b @ ( produc546497367od_b_b @ SV37 @ SV37 ) @ ( id_on_2019020932od_b_b @ SY314 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[550]) ).
thf(635,plain,
! [SV38: produc1168037607od_b_b] :
( ( ! [SY315: set_Product_prod_b_b] :
( ~ ( member1652792080od_b_b @ SV38 @ ( id_on_2019020932od_b_b @ SY315 ) )
| ~ ! [SY316: product_prod_b_b] :
( ~ ( member1285940496od_b_b @ SY316 @ SY315 )
| ( SV38
!= ( produc546497367od_b_b @ SY316 @ SY316 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[551]) ).
thf(636,plain,
! [SV39: product_prod_b_b] :
( ( ! [SY317: set_Product_prod_b_b,SY318: product_prod_b_b] :
( ~ ( ~ ~ ( member1285940496od_b_b @ SV39 @ SY317 )
| ( SV39 = SY318 ) )
| ( member1285940496od_b_b @ SV39 @ ( insert1952693431od_b_b @ SY318 @ SY317 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[552]) ).
thf(637,plain,
! [SV40: set_Product_prod_b_b] :
( ( ! [SY319: set_Pr2007082183od_b_b,SY320: product_prod_b_b,SY321: product_prod_b_b] :
( ~ ( refl_o2134473190od_b_b @ SV40 @ SY319 )
| ~ ( member1652792080od_b_b @ ( produc546497367od_b_b @ SY320 @ SY321 ) @ SY319 )
| ( member1285940496od_b_b @ SY320 @ SV40 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[553]) ).
thf(638,plain,
! [SV41: product_prod_b_b] :
( ( ! [SY322: product_prod_b_b,SY323: set_Product_prod_b_b] :
( ~ ( member1285940496od_b_b @ SV41 @ ( insert1952693431od_b_b @ SY322 @ SY323 ) )
| ~ ( ( SV41 != SY322 ) )
| ( member1285940496od_b_b @ SV41 @ SY323 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[554]) ).
thf(639,plain,
! [SV42: set_Product_prod_b_b] :
( ( ! [SY324: b,SY325: b] :
( ~ ( sym_b @ SV42 )
| ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SY324 @ SY325 ) @ SV42 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SY325 @ SY324 ) @ SV42 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[555]) ).
thf(640,plain,
! [SV43: labeled_graph_a_b] :
( ( ! [SY326: b,SY327: b,SY328: a] :
( ( SV43
!= ( restrict_a_b @ SV43 ) )
| ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SY326 @ SY327 ) @ ( getRel_a_b @ SY328 @ SV43 ) )
| ( member_b @ SY326 @ ( labeled_vertices_a_b @ SV43 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[556]) ).
thf(641,plain,
! [SV44: set_Product_prod_b_b] :
( ( ( ~ ! [SY329: product_prod_b_b] :
~ ( member1285940496od_b_b @ SY329 @ SV44 ) )
= ( SV44 != bot_bo1343651123od_b_b ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[557]) ).
thf(642,plain,
! [SV45: product_prod_b_b] :
( ( ! [SY330: product_prod_b_b,SY331: set_Product_prod_b_b] :
( ( SV45 != SY330 )
| ~ ( member1285940496od_b_b @ SV45 @ SY331 )
| ( member1652792080od_b_b @ ( produc546497367od_b_b @ SV45 @ SY330 ) @ ( id_on_2019020932od_b_b @ SY331 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[558]) ).
thf(643,plain,
( ( ! [SV46: set_b] :
( ( total_on_b @ SV46 )
= ( ^ [SY332: set_Product_prod_b_b] :
! [SY333: b] :
( ~ ( member_b @ SY333 @ SV46 )
| ! [SY334: b] :
( ~ ( member_b @ SY334 @ SV46 )
| ~ ( ( SY333 != SY334 ) )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SY333 @ SY334 ) @ SY332 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SY334 @ SY333 ) @ SY332 ) ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[559]) ).
thf(644,plain,
( ( total_on_b
= ( ^ [SX0: set_b,SX1: set_Product_prod_b_b] :
! [SX2: b] :
( ~ ( member_b @ SX2 @ SX0 )
| ! [SX3: b] :
( ~ ( member_b @ SX3 @ SX0 )
| ~ ( ( SX2 != SX3 ) )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SX2 @ SX3 ) @ SX1 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SX3 @ SX2 ) @ SX1 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[559]) ).
thf(645,plain,
! [SV47: set_Product_prod_b_b] :
( ( ! [SY335: set_Product_prod_b_b,SY336: product_prod_b_b] :
( ~ ( ord_le1036320359od_b_b @ SV47 @ SY335 )
| ~ ( member1285940496od_b_b @ SY336 @ SV47 )
| ( member1285940496od_b_b @ SY336 @ SY335 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[560]) ).
thf(646,plain,
! [SV48: product_prod_b_b] :
( ( ~ ! [SY337: b] :
~ ~ ! [SY338: b] :
( SV48
!= ( product_Pair_b_b @ SY337 @ SY338 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[561]) ).
thf(647,plain,
! [SV49: labeled_graph_a_b] :
( ( ! [SY339: b,SY340: b,SY341: a] :
( ( SV49
!= ( restrict_a_b @ SV49 ) )
| ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SY339 @ SY340 ) @ ( getRel_a_b @ SY341 @ SV49 ) )
| ( member_b @ SY340 @ ( labeled_vertices_a_b @ SV49 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[562]) ).
thf(648,plain,
! [SV50: b] :
( ( ! [SY342: b,SY343: b,SY344: b] :
( ( ( product_Pair_b_b @ SV50 @ SY342 )
!= ( product_Pair_b_b @ SY343 @ SY344 ) )
| ~ ( ( SV50 != SY343 )
| ( SY342 != SY344 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[563]) ).
thf(649,plain,
! [SV51: product_prod_b_b] :
( ( ! [SY345: set_Product_prod_b_b,SY346: set_Product_prod_b_b] :
( ~ ~ ( member1285940496od_b_b @ SV51 @ SY345 )
| ( ( ord_le1036320359od_b_b @ SY345 @ ( insert1952693431od_b_b @ SV51 @ SY346 ) )
= ( ord_le1036320359od_b_b @ SY345 @ SY346 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[564]) ).
thf(650,plain,
( ( ~ ~ ( ~ ( refl_on_b @ ( labeled_vertices_a_b @ g ) @ ( getRel_a_b @ i @ g ) )
| ~ ! [SX0: b,SX1: b] :
( ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SX0 @ SX1 ) @ ( getRel_a_b @ i @ g ) )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SX1 @ SX0 ) @ ( getRel_a_b @ i @ g ) ) ) )
| ~ ( trans_b @ ( getRel_a_b @ i @ g ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[565]) ).
thf(651,plain,
! [SV52: set_Product_prod_b_b] :
( ( ! [SY347: set_Pr2007082183od_b_b,SY348: product_prod_b_b] :
( ~ ( refl_o2134473190od_b_b @ SV52 @ SY347 )
| ~ ( member1285940496od_b_b @ SY348 @ SV52 )
| ( member1652792080od_b_b @ ( produc546497367od_b_b @ SY348 @ SY348 ) @ SY347 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[566]) ).
thf(652,plain,
! [SV53: set_Product_prod_b_b] :
( ( ~ ! [SY349: b,SY350: b,SY351: b] :
( ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SY349 @ SY350 ) @ SV53 )
| ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SY350 @ SY351 ) @ SV53 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SY349 @ SY351 ) @ SV53 ) )
| ( trans_b @ SV53 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[567]) ).
thf(653,plain,
! [SV54: set_Product_prod_b_b] :
( ( ! [SY352: set_Pr2007082183od_b_b] :
( ~ ! [SY353: product_prod_b_b,SY354: product_prod_b_b] :
( ~ ( member1285940496od_b_b @ SY353 @ SV54 )
| ~ ( member1285940496od_b_b @ SY354 @ SV54 )
| ~ ( ( SY353 != SY354 ) )
| ( member1652792080od_b_b @ ( produc546497367od_b_b @ SY353 @ SY354 ) @ SY352 )
| ( member1652792080od_b_b @ ( produc546497367od_b_b @ SY354 @ SY353 ) @ SY352 ) )
| ( total_178717291od_b_b @ SV54 @ SY352 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[568]) ).
thf(654,plain,
! [SV55: product_prod_b_b] :
( ( ! [SY355: product_prod_b_b] :
( ~ ( member1285940496od_b_b @ SV55 @ ( insert1952693431od_b_b @ SY355 @ bot_bo1343651123od_b_b ) )
| ( SV55 = SY355 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[569]) ).
thf(655,plain,
! [SV56: produc1168037607od_b_b > $o] :
( ( ! [SY356: produc1168037607od_b_b] :
( ~ ! [SY357: product_prod_b_b,SY358: b,SY359: b] : ( SV56 @ ( produc546497367od_b_b @ SY357 @ ( product_Pair_b_b @ SY358 @ SY359 ) ) )
| ( SV56 @ SY356 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[570]) ).
thf(656,plain,
! [SV57: b] :
( ( ! [SY360: b,SY361: set_b] :
( ( member1285940496od_b_b @ ( product_Pair_b_b @ SV57 @ SY360 ) @ ( id_on_b @ SY361 ) )
= ( ~ ( ( SV57 != SY360 )
| ~ ( member_b @ SV57 @ SY361 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[571]) ).
thf(657,plain,
! [SV58: b > $o] :
( ( ! [SY362: b,SY363: b,SY364: b,SY365: b > set_Product_prod_b_b] :
( ~ ( SV58 @ SY362 )
| ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SY363 @ SY364 ) @ ( SY365 @ SY362 ) )
| ( member1652792080od_b_b @ ( produc546497367od_b_b @ ( product_Pair_b_b @ SY362 @ SY363 ) @ ( product_Pair_b_b @ SY362 @ SY364 ) ) @ ( same_fst_b_b @ SV58 @ SY365 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[572]) ).
thf(658,plain,
! [SV59: set_Product_prod_b_b] :
( ( ! [SY366: b,SY367: b] :
( ~ ( sym_b @ SV59 )
| ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SY366 @ SY367 ) @ SV59 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SY367 @ SY366 ) @ SV59 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[573]) ).
thf(659,plain,
! [SV60: product_prod_b_b] :
( ( ! [SY368: product_prod_b_b,SY369: set_Product_prod_b_b] :
( ( member1652792080od_b_b @ ( produc546497367od_b_b @ SV60 @ SY368 ) @ ( id_on_2019020932od_b_b @ SY369 ) )
= ( ~ ( ( SV60 != SY368 )
| ~ ( member1285940496od_b_b @ SV60 @ SY369 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[574]) ).
thf(660,plain,
! [SV61: set_b] :
( ( ! [SY370: set_Product_prod_b_b,SY371: b,SY372: b] :
( ~ ( refl_on_b @ SV61 @ SY370 )
| ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SY371 @ SY372 ) @ SY370 )
| ( member_b @ SY372 @ SV61 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[575]) ).
thf(661,plain,
! [SV62: set_Product_prod_b_b] :
( ( ~ ( ( SV62 != bot_bo1343651123od_b_b ) )
| ~ ! [SY373: product_prod_b_b,SY374: product_prod_b_b] :
( ~ ( member1285940496od_b_b @ SY373 @ SV62 )
| ~ ( member1285940496od_b_b @ SY374 @ SV62 )
| ( SY373 = SY374 ) )
| ( is_sin1713057243od_b_b @ SV62 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[576]) ).
thf(662,plain,
! [SV63: set_Product_prod_b_b] :
( ( ~ ! [SY375: product_prod_b_b] :
~ ( member1285940496od_b_b @ SY375 @ SV63 )
| ( SV63 = bot_bo1343651123od_b_b ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[577]) ).
thf(663,plain,
! [SV64: set_Product_prod_b_b] :
( ( ~ ! [SY376: product_prod_b_b] :
~ ( member1285940496od_b_b @ SY376 @ SV64 )
| ( ord_le1036320359od_b_b @ SV64 @ bot_bo1343651123od_b_b ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[578]) ).
thf(664,plain,
! [SV65: produc1133639312od_b_b] :
( ( ~ ! [SY377: a,SY378: b,SY379: b] :
( SV65
!= ( produc2135284224od_b_b @ SY377 @ ( product_Pair_b_b @ SY378 @ SY379 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[579]) ).
thf(665,plain,
! [SV66: b] :
( ( ! [SY380: b,SY381: set_b] :
( ( SV66 != SY380 )
| ~ ( member_b @ SV66 @ SY381 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SV66 @ SY380 ) @ ( id_on_b @ SY381 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[580]) ).
thf(666,plain,
! [SV67: set_Product_prod_b_b] :
( ( ~ ! [SY382: b,SY383: b] :
( ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SY382 @ SY383 ) @ SV67 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SY383 @ SY382 ) @ SV67 ) )
| ( sym_b @ SV67 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[581]) ).
thf(667,plain,
! [SV68: set_b] :
( ( ! [SY384: set_Product_prod_b_b,SY385: b,SY386: b] :
( ~ ( refl_on_b @ SV68 @ SY384 )
| ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SY385 @ SY386 ) @ SY384 )
| ~ ( ~ ( member_b @ SY385 @ SV68 )
| ~ ( member_b @ SY386 @ SV68 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[582]) ).
thf(668,plain,
! [SV69: b] :
( ( ! [SY387: b,SY388: set_Product_prod_b_b,SY389: b] :
( ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SV69 @ SY387 ) @ SY388 )
| ( SY389 != SY387 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SV69 @ SY389 ) @ SY388 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[583]) ).
thf(669,plain,
! [SV70: product_prod_b_b] :
( ( ! [SY390: set_Product_prod_b_b,SY391: product_prod_b_b,SY392: set_Product_prod_b_b] :
( ~ ~ ( member1285940496od_b_b @ SV70 @ SY390 )
| ~ ~ ( member1285940496od_b_b @ SY391 @ SY392 )
| ( ( ( insert1952693431od_b_b @ SV70 @ SY390 )
= ( insert1952693431od_b_b @ SY391 @ SY392 ) )
= ( ~ ( ~ ( ( SV70 != SY391 )
| ( SY390 = SY392 ) )
| ~ ( ~ ( ( SV70 != SY391 ) )
| ~ ! [SY393: set_Product_prod_b_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SY390
!= ( insert1952693431od_b_b @ SY391 @ SY393 ) )
| ~ ~ ( member1285940496od_b_b @ SY391 @ SY393 ) )
| ( SY392
!= ( insert1952693431od_b_b @ SV70 @ SY393 ) ) )
| ~ ~ ( member1285940496od_b_b @ SV70 @ SY393 ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[584]) ).
thf(670,plain,
! [SV71: product_prod_b_b] :
( ( ! [SY394: set_Product_prod_b_b,SY395: set_Product_prod_b_b] :
( ~ ~ ( member1285940496od_b_b @ SV71 @ SY394 )
| ~ ~ ( member1285940496od_b_b @ SV71 @ SY395 )
| ( ( ( insert1952693431od_b_b @ SV71 @ SY394 )
= ( insert1952693431od_b_b @ SV71 @ SY395 ) )
= ( SY394 = SY395 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[585]) ).
thf(671,plain,
! [SV72: set_Product_prod_b_b] :
( ( ! [SY396: product_prod_b_b] :
( ( SV72 != bot_bo1343651123od_b_b )
| ~ ( member1285940496od_b_b @ SY396 @ SV72 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[586]) ).
thf(672,plain,
! [SV73: set_Product_prod_b_b] :
( ( ! [SY397: set_Pr2007082183od_b_b,SY398: product_prod_b_b,SY399: product_prod_b_b] :
( ~ ( refl_o2134473190od_b_b @ SV73 @ SY397 )
| ~ ( member1652792080od_b_b @ ( produc546497367od_b_b @ SY398 @ SY399 ) @ SY397 )
| ~ ( ~ ( member1285940496od_b_b @ SY398 @ SV73 )
| ~ ( member1285940496od_b_b @ SY399 @ SV73 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[587]) ).
thf(673,plain,
! [SV74: product_prod_b_b] :
( ( ! [SY400: set_Product_prod_b_b,SY401: set_Product_prod_b_b] :
( ~ ( member1285940496od_b_b @ SV74 @ SY400 )
| ~ ( ord_le1036320359od_b_b @ SY401 @ SY400 )
| ( ord_le1036320359od_b_b @ ( insert1952693431od_b_b @ SV74 @ SY401 ) @ SY400 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[588]) ).
thf(674,plain,
! [SV75: product_prod_b_b] :
( ( ! [SY402: set_Product_prod_b_b] :
( ~ ( member1285940496od_b_b @ SV75 @ SY402 )
| ~ ! [SY403: set_Product_prod_b_b] :
~ ~ ( ( SY402
!= ( insert1952693431od_b_b @ SV75 @ SY403 ) )
| ~ ~ ( member1285940496od_b_b @ SV75 @ SY403 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[589]) ).
thf(675,plain,
! [SV76: set_Product_prod_b_b] :
( ( ! [SY404: b,SY405: b,SY406: b] :
( ~ ( trans_b @ SV76 )
| ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SY404 @ SY405 ) @ SV76 )
| ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SY405 @ SY406 ) @ SV76 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SY404 @ SY406 ) @ SV76 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[590]) ).
thf(676,plain,
! [SV77: product_prod_b_b] :
( ( ! [SY407: set_Product_prod_b_b] :
( ~ ( member1285940496od_b_b @ SV77 @ SY407 )
| ~ ! [SY408: set_Product_prod_b_b] :
( ( SY407
!= ( insert1952693431od_b_b @ SV77 @ SY408 ) )
| ( member1285940496od_b_b @ SV77 @ SY408 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[591]) ).
thf(677,plain,
! [SV78: product_prod_b_b > $o,SV1: product_prod_b_b] :
( ( ( member1285940496od_b_b @ SV1 @ ( collec1481886546od_b_b @ SV78 ) )
= ( SV78 @ SV1 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[592]) ).
thf(678,plain,
! [SV79: product_prod_b_b,SV5: product_prod_b_b] :
( ( ! [SY409: set_Product_prod_b_b] :
( ( member1285940496od_b_b @ SV5 @ ( insert1952693431od_b_b @ SV79 @ SY409 ) )
= ( ( SV5 = SV79 )
| ( member1285940496od_b_b @ SV5 @ SY409 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[596]) ).
thf(679,plain,
! [SV6: product_prod_b_b] :
( ( member1285940496od_b_b @ SV6 @ bot_bo1343651123od_b_b )
= $false ),
inference(extcnf_not_pos,[status(thm)],[597]) ).
thf(680,plain,
! [SV7: set_Product_prod_b_b] :
( ( ~ ( ! [SY248: product_prod_b_b] :
~ ( member1285940496od_b_b @ SY248 @ SV7 )
| ( SV7 = bot_bo1343651123od_b_b ) )
| ~ ( ~ ! [SY248: product_prod_b_b] :
~ ( member1285940496od_b_b @ SY248 @ SV7 )
| ( SV7 != bot_bo1343651123od_b_b ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[598]) ).
thf(681,plain,
! [SV7: set_Product_prod_b_b] :
( ( ( ! [SY248: product_prod_b_b] :
~ ( member1285940496od_b_b @ SY248 @ SV7 ) )
= ( SV7 = bot_bo1343651123od_b_b ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[598]) ).
thf(682,plain,
! [SV8: product_prod_b_b] :
( ( member1285940496od_b_b @ SV8 @ bot_bo1343651123od_b_b )
= $false ),
inference(extcnf_not_pos,[status(thm)],[599]) ).
thf(683,plain,
! [SV80: set_Product_prod_b_b,SV9: product_prod_b_b] :
( ( member1285940496od_b_b @ SV9 @ ( insert1952693431od_b_b @ SV9 @ SV80 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[600]) ).
thf(684,plain,
! [SV81: product_prod_b_b,SV10: product_prod_b_b] :
( ( ( member1285940496od_b_b @ SV10 @ ( insert1952693431od_b_b @ SV81 @ bot_bo1343651123od_b_b ) )
= ( SV10 = SV81 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[601]) ).
thf(685,plain,
! [SV82: product_prod_b_b] :
( ( ( bot_bo1302443370_b_b_o @ SV82 )
= ( member1285940496od_b_b @ SV82 @ bot_bo1343651123od_b_b ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[602]) ).
thf(686,plain,
! [SV83: set_Product_prod_b_b,SV12: set_b] :
( ( ! [SY410: b] :
( ~ ( refl_on_b @ SV12 @ SV83 )
| ~ ( member_b @ SY410 @ SV12 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SY410 @ SY410 ) @ SV83 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[605]) ).
thf(687,plain,
! [SV84: set_Product_prod_b_b,SV13: product_prod_b_b] :
( ( ~ ( member1285940496od_b_b @ SV13 @ SV84 )
| ( ( insert1952693431od_b_b @ SV13 @ SV84 )
= SV84 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[606]) ).
thf(688,plain,
! [SV85: set_b,SV14: product_prod_b_b] :
( ( ~ ( member1285940496od_b_b @ SV14 @ ( id_on_b @ SV85 ) )
| ~ ! [SY411: b] :
( ~ ( member_b @ SY411 @ SV85 )
| ( SV14
!= ( product_Pair_b_b @ SY411 @ SY411 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[607]) ).
thf(689,plain,
! [SV15: product_prod_b_b] :
( ( ! [SY256: b,SY257: b] :
( SV15
!= ( product_Pair_b_b @ SY256 @ SY257 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[608]) ).
thf(690,plain,
! [SV86: set_Pr2007082183od_b_b,SV16: set_Product_prod_b_b] :
( ( ! [SY412: product_prod_b_b,SY413: product_prod_b_b] :
( ~ ( refl_o2134473190od_b_b @ SV16 @ SV86 )
| ~ ( member1652792080od_b_b @ ( produc546497367od_b_b @ SY412 @ SY413 ) @ SV86 )
| ( member1285940496od_b_b @ SY413 @ SV16 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[609]) ).
thf(691,plain,
! [SV87: set_Product_prod_b_b,SV17: set_b] :
( ( ! [SY414: b,SY415: b] :
( ~ ( refl_on_b @ SV17 @ SV87 )
| ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SY414 @ SY415 ) @ SV87 )
| ( member_b @ SY414 @ SV17 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[610]) ).
thf(692,plain,
! [SV88: set_Product_prod_b_b] :
( ( ( trans_b @ SV88 )
= ( ! [SY416: b,SY417: b,SY418: b] :
( ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SY416 @ SY417 ) @ SV88 )
| ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SY417 @ SY418 ) @ SV88 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SY416 @ SY418 ) @ SV88 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[611]) ).
thf(693,plain,
! [SV89: product_prod_b_b,SV19: product_prod_b_b > $o] :
( ( ~ ! [SY268: b,SY269: b] : ( SV19 @ ( product_Pair_b_b @ SY268 @ SY269 ) )
| ( SV19 @ SV89 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[613]) ).
thf(694,plain,
! [SV90: set_Product_prod_b_b,SV20: set_b] :
( ( ~ ! [SY421: b,SY422: b] :
( ~ ( member_b @ SY421 @ SV20 )
| ~ ( member_b @ SY422 @ SV20 )
| ~ ( ( SY421 != SY422 ) )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SY421 @ SY422 ) @ SV90 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SY422 @ SY421 ) @ SV90 ) )
| ( total_on_b @ SV20 @ SV90 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[614]) ).
thf(695,plain,
! [SV91: product_prod_b_b,SV21: product_prod_b_b > $o] :
( ( ~ ! [SY274: b,SY275: b] : ( SV21 @ ( product_Pair_b_b @ SY274 @ SY275 ) )
| ( SV21 @ SV91 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[615]) ).
thf(696,plain,
! [SV92: set_Product_prod_b_b,SV22: set_Product_prod_b_b] :
( ( ~ ! [SY425: b,SY426: b] :
( ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SY425 @ SY426 ) @ SV22 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SY425 @ SY426 ) @ SV92 ) )
| ( ord_le1036320359od_b_b @ SV22 @ SV92 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[616]) ).
thf(697,plain,
! [SV93: set_Product_prod_b_b,SV23: product_prod_b_b] :
( ( ! [SY427: set_Product_prod_b_b] :
( ( ord_le1036320359od_b_b @ ( insert1952693431od_b_b @ SV23 @ SV93 ) @ SY427 )
= ( ~ ( ~ ( member1285940496od_b_b @ SV23 @ SY427 )
| ~ ( ord_le1036320359od_b_b @ SV93 @ SY427 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[617]) ).
thf(698,plain,
! [SV94: b,SV24: b] :
( ( ! [SY428: b,SY429: b] :
( ( ( product_Pair_b_b @ SV24 @ SV94 )
= ( product_Pair_b_b @ SY428 @ SY429 ) )
= ( ~ ( ( SV24 != SY428 )
| ( SV94 != SY429 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[618]) ).
thf(699,plain,
! [SV95: b,SV25: b] :
( ( ! [SY430: a,SY431: labeled_graph_a_b,SY432: labeled_graph_a_b] :
( ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SV25 @ SV95 ) @ ( getRel_a_b @ SY430 @ SY431 ) )
| ~ ( graph_1322245399_a_b_b @ SY431 @ SY432 @ ( id_on_b @ ( labeled_vertices_a_b @ SY431 ) ) )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SV25 @ SV95 ) @ ( getRel_a_b @ SY430 @ SY432 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[619]) ).
thf(700,plain,
! [SV96: set_Product_prod_b_b,SV26: product_prod_b_b] :
( ( ! [SY433: product_prod_b_b] :
( ~ ( member1285940496od_b_b @ SV26 @ SV96 )
| ( member1285940496od_b_b @ SV26 @ ( insert1952693431od_b_b @ SY433 @ SV96 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[620]) ).
thf(701,plain,
! [SV97: set_Product_prod_b_b,SV27: set_Product_prod_b_b] :
( ( ! [SY434: product_prod_b_b] :
( ~ ( ord_le1036320359od_b_b @ SV27 @ SV97 )
| ~ ( member1285940496od_b_b @ SY434 @ SV27 )
| ( member1285940496od_b_b @ SY434 @ SV97 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[621]) ).
thf(702,plain,
! [SV98: set_b,SV28: b] :
( ( ~ ( member_b @ SV28 @ SV98 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SV28 @ SV28 ) @ ( id_on_b @ SV98 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[622]) ).
thf(703,plain,
! [SV29: produc1168037607od_b_b] :
( ( ! [SY293: product_prod_b_b,SY294: b,SY295: b] :
( SV29
!= ( produc546497367od_b_b @ SY293 @ ( product_Pair_b_b @ SY294 @ SY295 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[623]) ).
thf(704,plain,
! [SV99: b,SV30: set_Product_prod_b_b] :
( ( ! [SY435: b,SY436: b] :
( ~ ( trans_b @ SV30 )
| ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SV99 @ SY435 ) @ SV30 )
| ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SY435 @ SY436 ) @ SV30 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SV99 @ SY436 ) @ SV30 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[624]) ).
thf(705,plain,
! [SV100: b,SV31: b] :
( ( ! [SY437: b,SY438: b] :
( ( ( product_Pair_b_b @ SV31 @ SV100 )
= ( product_Pair_b_b @ SY437 @ SY438 ) )
= ( ~ ( ( SV31 != SY437 )
| ( SV100 != SY438 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[625]) ).
thf(706,plain,
! [SV101: set_Product_prod_b_b,SV32: set_Product_prod_b_b] :
( ( ~ ! [SY439: product_prod_b_b] :
( ~ ( member1285940496od_b_b @ SY439 @ SV32 )
| ( member1285940496od_b_b @ SY439 @ SV101 ) )
| ( ord_le1036320359od_b_b @ SV32 @ SV101 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[626]) ).
thf(707,plain,
! [SV102: set_Product_prod_b_b] :
( ( ( sym_b @ SV102 )
= ( ! [SY440: b,SY441: b] :
( ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SY440 @ SY441 ) @ SV102 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SY441 @ SY440 ) @ SV102 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[627]) ).
thf(708,plain,
! [SV103: produc1133639312od_b_b,SV34: produc1133639312od_b_b > $o] :
( ( ~ ! [SY307: a,SY308: b,SY309: b] : ( SV34 @ ( produc2135284224od_b_b @ SY307 @ ( product_Pair_b_b @ SY308 @ SY309 ) ) )
| ( SV34 @ SV103 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[629]) ).
thf(709,plain,
! [SV104: set_Product_prod_b_b] :
( ( ( ord_le1036320359od_b_b @ SV104 )
= ( ^ [SY445: set_Product_prod_b_b] :
! [SY446: product_prod_b_b] :
( ~ ( member1285940496od_b_b @ SY446 @ SV104 )
| ( member1285940496od_b_b @ SY446 @ SY445 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[630]) ).
thf(710,plain,
! [SV105: set_Product_prod_b_b] :
( ( ( ord_le1036320359od_b_b @ SV105 )
= ( ^ [SY447: set_Product_prod_b_b] :
! [SY448: product_prod_b_b] :
( ~ ( member1285940496od_b_b @ SY448 @ SV105 )
| ( member1285940496od_b_b @ SY448 @ SY447 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[632]) ).
thf(711,plain,
! [SV106: set_Product_prod_b_b,SV37: product_prod_b_b] :
( ( ~ ( member1285940496od_b_b @ SV37 @ SV106 )
| ( member1652792080od_b_b @ ( produc546497367od_b_b @ SV37 @ SV37 ) @ ( id_on_2019020932od_b_b @ SV106 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[634]) ).
thf(712,plain,
! [SV107: set_Product_prod_b_b,SV38: produc1168037607od_b_b] :
( ( ~ ( member1652792080od_b_b @ SV38 @ ( id_on_2019020932od_b_b @ SV107 ) )
| ~ ! [SY449: product_prod_b_b] :
( ~ ( member1285940496od_b_b @ SY449 @ SV107 )
| ( SV38
!= ( produc546497367od_b_b @ SY449 @ SY449 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[635]) ).
thf(713,plain,
! [SV108: set_Product_prod_b_b,SV39: product_prod_b_b] :
( ( ! [SY450: product_prod_b_b] :
( ~ ( ~ ~ ( member1285940496od_b_b @ SV39 @ SV108 )
| ( SV39 = SY450 ) )
| ( member1285940496od_b_b @ SV39 @ ( insert1952693431od_b_b @ SY450 @ SV108 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[636]) ).
thf(714,plain,
! [SV109: set_Pr2007082183od_b_b,SV40: set_Product_prod_b_b] :
( ( ! [SY451: product_prod_b_b,SY452: product_prod_b_b] :
( ~ ( refl_o2134473190od_b_b @ SV40 @ SV109 )
| ~ ( member1652792080od_b_b @ ( produc546497367od_b_b @ SY451 @ SY452 ) @ SV109 )
| ( member1285940496od_b_b @ SY451 @ SV40 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[637]) ).
thf(715,plain,
! [SV110: product_prod_b_b,SV41: product_prod_b_b] :
( ( ! [SY453: set_Product_prod_b_b] :
( ~ ( member1285940496od_b_b @ SV41 @ ( insert1952693431od_b_b @ SV110 @ SY453 ) )
| ~ ( ( SV41 != SV110 ) )
| ( member1285940496od_b_b @ SV41 @ SY453 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[638]) ).
thf(716,plain,
! [SV111: b,SV42: set_Product_prod_b_b] :
( ( ! [SY454: b] :
( ~ ( sym_b @ SV42 )
| ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SV111 @ SY454 ) @ SV42 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SY454 @ SV111 ) @ SV42 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[639]) ).
thf(717,plain,
! [SV112: b,SV43: labeled_graph_a_b] :
( ( ! [SY455: b,SY456: a] :
( ( SV43
!= ( restrict_a_b @ SV43 ) )
| ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SV112 @ SY455 ) @ ( getRel_a_b @ SY456 @ SV43 ) )
| ( member_b @ SV112 @ ( labeled_vertices_a_b @ SV43 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[640]) ).
thf(718,plain,
! [SV44: set_Product_prod_b_b] :
( ( ~ ( ~ ! [SY329: product_prod_b_b] :
~ ( member1285940496od_b_b @ SY329 @ SV44 )
| ( SV44 != bot_bo1343651123od_b_b ) )
| ~ ( ~ ~ ! [SY329: product_prod_b_b] :
~ ( member1285940496od_b_b @ SY329 @ SV44 )
| ~ ( ( SV44 != bot_bo1343651123od_b_b ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[641]) ).
thf(719,plain,
! [SV44: set_Product_prod_b_b] :
( ( ( ~ ! [SY329: product_prod_b_b] :
~ ( member1285940496od_b_b @ SY329 @ SV44 ) )
= ( SV44 != bot_bo1343651123od_b_b ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[641]) ).
thf(720,plain,
! [SV113: product_prod_b_b,SV45: product_prod_b_b] :
( ( ! [SY457: set_Product_prod_b_b] :
( ( SV45 != SV113 )
| ~ ( member1285940496od_b_b @ SV45 @ SY457 )
| ( member1652792080od_b_b @ ( produc546497367od_b_b @ SV45 @ SV113 ) @ ( id_on_2019020932od_b_b @ SY457 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[642]) ).
thf(721,plain,
! [SV114: set_b] :
( ( ( total_on_b @ SV114 )
= ( ^ [SY458: set_Product_prod_b_b] :
! [SY459: b] :
( ~ ( member_b @ SY459 @ SV114 )
| ! [SY460: b] :
( ~ ( member_b @ SY460 @ SV114 )
| ~ ( ( SY459 != SY460 ) )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SY459 @ SY460 ) @ SY458 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SY460 @ SY459 ) @ SY458 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[643]) ).
thf(722,plain,
! [SV115: set_Product_prod_b_b,SV47: set_Product_prod_b_b] :
( ( ! [SY461: product_prod_b_b] :
( ~ ( ord_le1036320359od_b_b @ SV47 @ SV115 )
| ~ ( member1285940496od_b_b @ SY461 @ SV47 )
| ( member1285940496od_b_b @ SY461 @ SV115 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[645]) ).
thf(723,plain,
! [SV48: product_prod_b_b] :
( ( ! [SY337: b] :
~ ~ ! [SY338: b] :
( SV48
!= ( product_Pair_b_b @ SY337 @ SY338 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[646]) ).
thf(724,plain,
! [SV116: b,SV49: labeled_graph_a_b] :
( ( ! [SY462: b,SY463: a] :
( ( SV49
!= ( restrict_a_b @ SV49 ) )
| ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SV116 @ SY462 ) @ ( getRel_a_b @ SY463 @ SV49 ) )
| ( member_b @ SY462 @ ( labeled_vertices_a_b @ SV49 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[647]) ).
thf(725,plain,
! [SV117: b,SV50: b] :
( ( ! [SY464: b,SY465: b] :
( ( ( product_Pair_b_b @ SV50 @ SV117 )
!= ( product_Pair_b_b @ SY464 @ SY465 ) )
| ~ ( ( SV50 != SY464 )
| ( SV117 != SY465 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[648]) ).
thf(726,plain,
! [SV118: set_Product_prod_b_b,SV51: product_prod_b_b] :
( ( ! [SY466: set_Product_prod_b_b] :
( ~ ~ ( member1285940496od_b_b @ SV51 @ SV118 )
| ( ( ord_le1036320359od_b_b @ SV118 @ ( insert1952693431od_b_b @ SV51 @ SY466 ) )
= ( ord_le1036320359od_b_b @ SV118 @ SY466 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[649]) ).
thf(727,plain,
( ( ~ ~ ( ~ ( refl_on_b @ ( labeled_vertices_a_b @ g ) @ ( getRel_a_b @ i @ g ) )
| ~ ! [SX0: b,SX1: b] :
( ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SX0 @ SX1 ) @ ( getRel_a_b @ i @ g ) )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SX1 @ SX0 ) @ ( getRel_a_b @ i @ g ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[650]) ).
thf(728,plain,
( ( ~ ( trans_b @ ( getRel_a_b @ i @ g ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[650]) ).
thf(729,plain,
! [SV119: set_Pr2007082183od_b_b,SV52: set_Product_prod_b_b] :
( ( ! [SY467: product_prod_b_b] :
( ~ ( refl_o2134473190od_b_b @ SV52 @ SV119 )
| ~ ( member1285940496od_b_b @ SY467 @ SV52 )
| ( member1652792080od_b_b @ ( produc546497367od_b_b @ SY467 @ SY467 ) @ SV119 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[651]) ).
thf(730,plain,
! [SV53: set_Product_prod_b_b] :
( ( ( ~ ! [SY349: b,SY350: b,SY351: b] :
( ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SY349 @ SY350 ) @ SV53 )
| ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SY350 @ SY351 ) @ SV53 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SY349 @ SY351 ) @ SV53 ) ) )
= $true )
| ( ( trans_b @ SV53 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[652]) ).
thf(731,plain,
! [SV120: set_Pr2007082183od_b_b,SV54: set_Product_prod_b_b] :
( ( ~ ! [SY468: product_prod_b_b,SY469: product_prod_b_b] :
( ~ ( member1285940496od_b_b @ SY468 @ SV54 )
| ~ ( member1285940496od_b_b @ SY469 @ SV54 )
| ~ ( ( SY468 != SY469 ) )
| ( member1652792080od_b_b @ ( produc546497367od_b_b @ SY468 @ SY469 ) @ SV120 )
| ( member1652792080od_b_b @ ( produc546497367od_b_b @ SY469 @ SY468 ) @ SV120 ) )
| ( total_178717291od_b_b @ SV54 @ SV120 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[653]) ).
thf(732,plain,
! [SV121: product_prod_b_b,SV55: product_prod_b_b] :
( ( ~ ( member1285940496od_b_b @ SV55 @ ( insert1952693431od_b_b @ SV121 @ bot_bo1343651123od_b_b ) )
| ( SV55 = SV121 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[654]) ).
thf(733,plain,
! [SV122: produc1168037607od_b_b,SV56: produc1168037607od_b_b > $o] :
( ( ~ ! [SY357: product_prod_b_b,SY358: b,SY359: b] : ( SV56 @ ( produc546497367od_b_b @ SY357 @ ( product_Pair_b_b @ SY358 @ SY359 ) ) )
| ( SV56 @ SV122 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[655]) ).
thf(734,plain,
! [SV123: b,SV57: b] :
( ( ! [SY473: set_b] :
( ( member1285940496od_b_b @ ( product_Pair_b_b @ SV57 @ SV123 ) @ ( id_on_b @ SY473 ) )
= ( ~ ( ( SV57 != SV123 )
| ~ ( member_b @ SV57 @ SY473 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[656]) ).
thf(735,plain,
! [SV124: b,SV58: b > $o] :
( ( ! [SY474: b,SY475: b,SY476: b > set_Product_prod_b_b] :
( ~ ( SV58 @ SV124 )
| ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SY474 @ SY475 ) @ ( SY476 @ SV124 ) )
| ( member1652792080od_b_b @ ( produc546497367od_b_b @ ( product_Pair_b_b @ SV124 @ SY474 ) @ ( product_Pair_b_b @ SV124 @ SY475 ) ) @ ( same_fst_b_b @ SV58 @ SY476 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[657]) ).
thf(736,plain,
! [SV125: b,SV59: set_Product_prod_b_b] :
( ( ! [SY477: b] :
( ~ ( sym_b @ SV59 )
| ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SV125 @ SY477 ) @ SV59 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SY477 @ SV125 ) @ SV59 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[658]) ).
thf(737,plain,
! [SV126: product_prod_b_b,SV60: product_prod_b_b] :
( ( ! [SY478: set_Product_prod_b_b] :
( ( member1652792080od_b_b @ ( produc546497367od_b_b @ SV60 @ SV126 ) @ ( id_on_2019020932od_b_b @ SY478 ) )
= ( ~ ( ( SV60 != SV126 )
| ~ ( member1285940496od_b_b @ SV60 @ SY478 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[659]) ).
thf(738,plain,
! [SV127: set_Product_prod_b_b,SV61: set_b] :
( ( ! [SY479: b,SY480: b] :
( ~ ( refl_on_b @ SV61 @ SV127 )
| ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SY479 @ SY480 ) @ SV127 )
| ( member_b @ SY480 @ SV61 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[660]) ).
thf(739,plain,
! [SV62: set_Product_prod_b_b] :
( ( ( ~ ( ( SV62 != bot_bo1343651123od_b_b ) ) )
= $true )
| ( ( ~ ! [SY373: product_prod_b_b,SY374: product_prod_b_b] :
( ~ ( member1285940496od_b_b @ SY373 @ SV62 )
| ~ ( member1285940496od_b_b @ SY374 @ SV62 )
| ( SY373 = SY374 ) )
| ( is_sin1713057243od_b_b @ SV62 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[661]) ).
thf(740,plain,
! [SV63: set_Product_prod_b_b] :
( ( ( ~ ! [SY375: product_prod_b_b] :
~ ( member1285940496od_b_b @ SY375 @ SV63 ) )
= $true )
| ( ( SV63 = bot_bo1343651123od_b_b )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[662]) ).
thf(741,plain,
! [SV64: set_Product_prod_b_b] :
( ( ( ~ ! [SY376: product_prod_b_b] :
~ ( member1285940496od_b_b @ SY376 @ SV64 ) )
= $true )
| ( ( ord_le1036320359od_b_b @ SV64 @ bot_bo1343651123od_b_b )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[663]) ).
thf(742,plain,
! [SV65: produc1133639312od_b_b] :
( ( ! [SY377: a,SY378: b,SY379: b] :
( SV65
!= ( produc2135284224od_b_b @ SY377 @ ( product_Pair_b_b @ SY378 @ SY379 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[664]) ).
thf(743,plain,
! [SV128: b,SV66: b] :
( ( ! [SY481: set_b] :
( ( SV66 != SV128 )
| ~ ( member_b @ SV66 @ SY481 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SV66 @ SV128 ) @ ( id_on_b @ SY481 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[665]) ).
thf(744,plain,
! [SV67: set_Product_prod_b_b] :
( ( ( ~ ! [SY382: b,SY383: b] :
( ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SY382 @ SY383 ) @ SV67 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SY383 @ SY382 ) @ SV67 ) ) )
= $true )
| ( ( sym_b @ SV67 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[666]) ).
thf(745,plain,
! [SV129: set_Product_prod_b_b,SV68: set_b] :
( ( ! [SY482: b,SY483: b] :
( ~ ( refl_on_b @ SV68 @ SV129 )
| ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SY482 @ SY483 ) @ SV129 )
| ~ ( ~ ( member_b @ SY482 @ SV68 )
| ~ ( member_b @ SY483 @ SV68 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[667]) ).
thf(746,plain,
! [SV130: b,SV69: b] :
( ( ! [SY484: set_Product_prod_b_b,SY485: b] :
( ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SV69 @ SV130 ) @ SY484 )
| ( SY485 != SV130 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SV69 @ SY485 ) @ SY484 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[668]) ).
thf(747,plain,
! [SV131: set_Product_prod_b_b,SV70: product_prod_b_b] :
( ( ! [SY486: product_prod_b_b,SY487: set_Product_prod_b_b] :
( ~ ~ ( member1285940496od_b_b @ SV70 @ SV131 )
| ~ ~ ( member1285940496od_b_b @ SY486 @ SY487 )
| ( ( ( insert1952693431od_b_b @ SV70 @ SV131 )
= ( insert1952693431od_b_b @ SY486 @ SY487 ) )
= ( ~ ( ~ ( ( SV70 != SY486 )
| ( SV131 = SY487 ) )
| ~ ( ~ ( ( SV70 != SY486 ) )
| ~ ! [SY488: set_Product_prod_b_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV131
!= ( insert1952693431od_b_b @ SY486 @ SY488 ) )
| ~ ~ ( member1285940496od_b_b @ SY486 @ SY488 ) )
| ( SY487
!= ( insert1952693431od_b_b @ SV70 @ SY488 ) ) )
| ~ ~ ( member1285940496od_b_b @ SV70 @ SY488 ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[669]) ).
thf(748,plain,
! [SV132: set_Product_prod_b_b,SV71: product_prod_b_b] :
( ( ! [SY489: set_Product_prod_b_b] :
( ~ ~ ( member1285940496od_b_b @ SV71 @ SV132 )
| ~ ~ ( member1285940496od_b_b @ SV71 @ SY489 )
| ( ( ( insert1952693431od_b_b @ SV71 @ SV132 )
= ( insert1952693431od_b_b @ SV71 @ SY489 ) )
= ( SV132 = SY489 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[670]) ).
thf(749,plain,
! [SV133: product_prod_b_b,SV72: set_Product_prod_b_b] :
( ( ( SV72 != bot_bo1343651123od_b_b )
| ~ ( member1285940496od_b_b @ SV133 @ SV72 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[671]) ).
thf(750,plain,
! [SV134: set_Pr2007082183od_b_b,SV73: set_Product_prod_b_b] :
( ( ! [SY490: product_prod_b_b,SY491: product_prod_b_b] :
( ~ ( refl_o2134473190od_b_b @ SV73 @ SV134 )
| ~ ( member1652792080od_b_b @ ( produc546497367od_b_b @ SY490 @ SY491 ) @ SV134 )
| ~ ( ~ ( member1285940496od_b_b @ SY490 @ SV73 )
| ~ ( member1285940496od_b_b @ SY491 @ SV73 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[672]) ).
thf(751,plain,
! [SV135: set_Product_prod_b_b,SV74: product_prod_b_b] :
( ( ! [SY492: set_Product_prod_b_b] :
( ~ ( member1285940496od_b_b @ SV74 @ SV135 )
| ~ ( ord_le1036320359od_b_b @ SY492 @ SV135 )
| ( ord_le1036320359od_b_b @ ( insert1952693431od_b_b @ SV74 @ SY492 ) @ SV135 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[673]) ).
thf(752,plain,
! [SV136: set_Product_prod_b_b,SV75: product_prod_b_b] :
( ( ~ ( member1285940496od_b_b @ SV75 @ SV136 )
| ~ ! [SY493: set_Product_prod_b_b] :
~ ~ ( ( SV136
!= ( insert1952693431od_b_b @ SV75 @ SY493 ) )
| ~ ~ ( member1285940496od_b_b @ SV75 @ SY493 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[674]) ).
thf(753,plain,
! [SV137: b,SV76: set_Product_prod_b_b] :
( ( ! [SY494: b,SY495: b] :
( ~ ( trans_b @ SV76 )
| ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SV137 @ SY494 ) @ SV76 )
| ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SY494 @ SY495 ) @ SV76 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SV137 @ SY495 ) @ SV76 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[675]) ).
thf(754,plain,
! [SV138: set_Product_prod_b_b,SV77: product_prod_b_b] :
( ( ~ ( member1285940496od_b_b @ SV77 @ SV138 )
| ~ ! [SY496: set_Product_prod_b_b] :
( ( SV138
!= ( insert1952693431od_b_b @ SV77 @ SY496 ) )
| ( member1285940496od_b_b @ SV77 @ SY496 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[676]) ).
thf(755,plain,
! [SV78: product_prod_b_b > $o,SV1: product_prod_b_b] :
( ( ~ ( ( member1285940496od_b_b @ SV1 @ ( collec1481886546od_b_b @ SV78 ) )
| ( SV78 @ SV1 ) )
| ~ ( ~ ( member1285940496od_b_b @ SV1 @ ( collec1481886546od_b_b @ SV78 ) )
| ~ ( SV78 @ SV1 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[677]) ).
thf(756,plain,
! [SV78: product_prod_b_b > $o,SV1: product_prod_b_b] :
( ( ( member1285940496od_b_b @ SV1 @ ( collec1481886546od_b_b @ SV78 ) )
= ( SV78 @ SV1 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[677]) ).
thf(757,plain,
! [SV139: set_Product_prod_b_b,SV79: product_prod_b_b,SV5: product_prod_b_b] :
( ( ( member1285940496od_b_b @ SV5 @ ( insert1952693431od_b_b @ SV79 @ SV139 ) )
= ( ( SV5 = SV79 )
| ( member1285940496od_b_b @ SV5 @ SV139 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[678]) ).
thf(758,plain,
! [SV7: set_Product_prod_b_b] :
( ( ( ~ ( ! [SY248: product_prod_b_b] :
~ ( member1285940496od_b_b @ SY248 @ SV7 )
| ( SV7 = bot_bo1343651123od_b_b ) ) )
= $true )
| ( ( ~ ( ~ ! [SY248: product_prod_b_b] :
~ ( member1285940496od_b_b @ SY248 @ SV7 )
| ( SV7 != bot_bo1343651123od_b_b ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[680]) ).
thf(759,plain,
! [SV81: product_prod_b_b,SV10: product_prod_b_b] :
( ( ~ ( ( member1285940496od_b_b @ SV10 @ ( insert1952693431od_b_b @ SV81 @ bot_bo1343651123od_b_b ) )
| ( SV10 = SV81 ) )
| ~ ( ~ ( member1285940496od_b_b @ SV10 @ ( insert1952693431od_b_b @ SV81 @ bot_bo1343651123od_b_b ) )
| ( SV10 != SV81 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[684]) ).
thf(760,plain,
! [SV81: product_prod_b_b,SV10: product_prod_b_b] :
( ( ( member1285940496od_b_b @ SV10 @ ( insert1952693431od_b_b @ SV81 @ bot_bo1343651123od_b_b ) )
= ( SV10 = SV81 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[684]) ).
thf(761,plain,
! [SV82: product_prod_b_b] :
( ( ~ ( ( bot_bo1302443370_b_b_o @ SV82 )
| ( member1285940496od_b_b @ SV82 @ bot_bo1343651123od_b_b ) )
| ~ ( ~ ( bot_bo1302443370_b_b_o @ SV82 )
| ~ ( member1285940496od_b_b @ SV82 @ bot_bo1343651123od_b_b ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[685]) ).
thf(762,plain,
! [SV82: product_prod_b_b] :
( ( ( bot_bo1302443370_b_b_o @ SV82 )
= ( member1285940496od_b_b @ SV82 @ bot_bo1343651123od_b_b ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[685]) ).
thf(763,plain,
! [SV140: b,SV83: set_Product_prod_b_b,SV12: set_b] :
( ( ~ ( refl_on_b @ SV12 @ SV83 )
| ~ ( member_b @ SV140 @ SV12 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SV140 @ SV140 ) @ SV83 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[686]) ).
thf(764,plain,
! [SV84: set_Product_prod_b_b,SV13: product_prod_b_b] :
( ( ( ~ ( member1285940496od_b_b @ SV13 @ SV84 ) )
= $true )
| ( ( ( insert1952693431od_b_b @ SV13 @ SV84 )
= SV84 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[687]) ).
thf(765,plain,
! [SV85: set_b,SV14: product_prod_b_b] :
( ( ( ~ ( member1285940496od_b_b @ SV14 @ ( id_on_b @ SV85 ) ) )
= $true )
| ( ( ~ ! [SY411: b] :
( ~ ( member_b @ SY411 @ SV85 )
| ( SV14
!= ( product_Pair_b_b @ SY411 @ SY411 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[688]) ).
thf(766,plain,
! [SV15: product_prod_b_b] :
( ( ! [SY497: b] :
( SV15
!= ( product_Pair_b_b @ ( sK1_SY256 @ SV15 ) @ SY497 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[689]) ).
thf(767,plain,
! [SV141: product_prod_b_b,SV86: set_Pr2007082183od_b_b,SV16: set_Product_prod_b_b] :
( ( ! [SY498: product_prod_b_b] :
( ~ ( refl_o2134473190od_b_b @ SV16 @ SV86 )
| ~ ( member1652792080od_b_b @ ( produc546497367od_b_b @ SV141 @ SY498 ) @ SV86 )
| ( member1285940496od_b_b @ SY498 @ SV16 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[690]) ).
thf(768,plain,
! [SV142: b,SV87: set_Product_prod_b_b,SV17: set_b] :
( ( ! [SY499: b] :
( ~ ( refl_on_b @ SV17 @ SV87 )
| ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SV142 @ SY499 ) @ SV87 )
| ( member_b @ SV142 @ SV17 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[691]) ).
thf(769,plain,
! [SV88: set_Product_prod_b_b] :
( ( ~ ( ( trans_b @ SV88 )
| ! [SY416: b,SY417: b,SY418: b] :
( ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SY416 @ SY417 ) @ SV88 )
| ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SY417 @ SY418 ) @ SV88 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SY416 @ SY418 ) @ SV88 ) ) )
| ~ ( ~ ( trans_b @ SV88 )
| ~ ! [SY416: b,SY417: b,SY418: b] :
( ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SY416 @ SY417 ) @ SV88 )
| ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SY417 @ SY418 ) @ SV88 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SY416 @ SY418 ) @ SV88 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[692]) ).
thf(770,plain,
! [SV88: set_Product_prod_b_b] :
( ( ( trans_b @ SV88 )
= ( ! [SY416: b,SY417: b,SY418: b] :
( ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SY416 @ SY417 ) @ SV88 )
| ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SY417 @ SY418 ) @ SV88 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SY416 @ SY418 ) @ SV88 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[692]) ).
thf(771,plain,
! [SV89: product_prod_b_b,SV19: product_prod_b_b > $o] :
( ( ( ~ ! [SY268: b,SY269: b] : ( SV19 @ ( product_Pair_b_b @ SY268 @ SY269 ) ) )
= $true )
| ( ( SV19 @ SV89 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[693]) ).
thf(772,plain,
! [SV90: set_Product_prod_b_b,SV20: set_b] :
( ( ( ~ ! [SY421: b,SY422: b] :
( ~ ( member_b @ SY421 @ SV20 )
| ~ ( member_b @ SY422 @ SV20 )
| ~ ( ( SY421 != SY422 ) )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SY421 @ SY422 ) @ SV90 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SY422 @ SY421 ) @ SV90 ) ) )
= $true )
| ( ( total_on_b @ SV20 @ SV90 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[694]) ).
thf(773,plain,
! [SV91: product_prod_b_b,SV21: product_prod_b_b > $o] :
( ( ( ~ ! [SY274: b,SY275: b] : ( SV21 @ ( product_Pair_b_b @ SY274 @ SY275 ) ) )
= $true )
| ( ( SV21 @ SV91 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[695]) ).
thf(774,plain,
! [SV92: set_Product_prod_b_b,SV22: set_Product_prod_b_b] :
( ( ( ~ ! [SY425: b,SY426: b] :
( ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SY425 @ SY426 ) @ SV22 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SY425 @ SY426 ) @ SV92 ) ) )
= $true )
| ( ( ord_le1036320359od_b_b @ SV22 @ SV92 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[696]) ).
thf(775,plain,
! [SV143: set_Product_prod_b_b,SV93: set_Product_prod_b_b,SV23: product_prod_b_b] :
( ( ( ord_le1036320359od_b_b @ ( insert1952693431od_b_b @ SV23 @ SV93 ) @ SV143 )
= ( ~ ( ~ ( member1285940496od_b_b @ SV23 @ SV143 )
| ~ ( ord_le1036320359od_b_b @ SV93 @ SV143 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[697]) ).
thf(776,plain,
! [SV144: b,SV94: b,SV24: b] :
( ( ! [SY500: b] :
( ( ( product_Pair_b_b @ SV24 @ SV94 )
= ( product_Pair_b_b @ SV144 @ SY500 ) )
= ( ~ ( ( SV24 != SV144 )
| ( SV94 != SY500 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[698]) ).
thf(777,plain,
! [SV145: a,SV95: b,SV25: b] :
( ( ! [SY501: labeled_graph_a_b,SY502: labeled_graph_a_b] :
( ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SV25 @ SV95 ) @ ( getRel_a_b @ SV145 @ SY501 ) )
| ~ ( graph_1322245399_a_b_b @ SY501 @ SY502 @ ( id_on_b @ ( labeled_vertices_a_b @ SY501 ) ) )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SV25 @ SV95 ) @ ( getRel_a_b @ SV145 @ SY502 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[699]) ).
thf(778,plain,
! [SV146: product_prod_b_b,SV96: set_Product_prod_b_b,SV26: product_prod_b_b] :
( ( ~ ( member1285940496od_b_b @ SV26 @ SV96 )
| ( member1285940496od_b_b @ SV26 @ ( insert1952693431od_b_b @ SV146 @ SV96 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[700]) ).
thf(779,plain,
! [SV147: product_prod_b_b,SV97: set_Product_prod_b_b,SV27: set_Product_prod_b_b] :
( ( ~ ( ord_le1036320359od_b_b @ SV27 @ SV97 )
| ~ ( member1285940496od_b_b @ SV147 @ SV27 )
| ( member1285940496od_b_b @ SV147 @ SV97 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[701]) ).
thf(780,plain,
! [SV98: set_b,SV28: b] :
( ( ( ~ ( member_b @ SV28 @ SV98 ) )
= $true )
| ( ( member1285940496od_b_b @ ( product_Pair_b_b @ SV28 @ SV28 ) @ ( id_on_b @ SV98 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[702]) ).
thf(781,plain,
! [SV29: produc1168037607od_b_b] :
( ( ! [SY503: b,SY504: b] :
( SV29
!= ( produc546497367od_b_b @ ( sK2_SY293 @ SV29 ) @ ( product_Pair_b_b @ SY503 @ SY504 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[703]) ).
thf(782,plain,
! [SV148: b,SV99: b,SV30: set_Product_prod_b_b] :
( ( ! [SY505: b] :
( ~ ( trans_b @ SV30 )
| ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SV99 @ SV148 ) @ SV30 )
| ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SV148 @ SY505 ) @ SV30 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SV99 @ SY505 ) @ SV30 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[704]) ).
thf(783,plain,
! [SV149: b,SV100: b,SV31: b] :
( ( ! [SY506: b] :
( ( ( product_Pair_b_b @ SV31 @ SV100 )
= ( product_Pair_b_b @ SV149 @ SY506 ) )
= ( ~ ( ( SV31 != SV149 )
| ( SV100 != SY506 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[705]) ).
thf(784,plain,
! [SV101: set_Product_prod_b_b,SV32: set_Product_prod_b_b] :
( ( ( ~ ! [SY439: product_prod_b_b] :
( ~ ( member1285940496od_b_b @ SY439 @ SV32 )
| ( member1285940496od_b_b @ SY439 @ SV101 ) ) )
= $true )
| ( ( ord_le1036320359od_b_b @ SV32 @ SV101 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[706]) ).
thf(785,plain,
! [SV102: set_Product_prod_b_b] :
( ( ~ ( ( sym_b @ SV102 )
| ! [SY440: b,SY441: b] :
( ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SY440 @ SY441 ) @ SV102 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SY441 @ SY440 ) @ SV102 ) ) )
| ~ ( ~ ( sym_b @ SV102 )
| ~ ! [SY440: b,SY441: b] :
( ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SY440 @ SY441 ) @ SV102 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SY441 @ SY440 ) @ SV102 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[707]) ).
thf(786,plain,
! [SV102: set_Product_prod_b_b] :
( ( ( sym_b @ SV102 )
= ( ! [SY440: b,SY441: b] :
( ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SY440 @ SY441 ) @ SV102 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SY441 @ SY440 ) @ SV102 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[707]) ).
thf(787,plain,
! [SV103: produc1133639312od_b_b,SV34: produc1133639312od_b_b > $o] :
( ( ( ~ ! [SY307: a,SY308: b,SY309: b] : ( SV34 @ ( produc2135284224od_b_b @ SY307 @ ( product_Pair_b_b @ SY308 @ SY309 ) ) ) )
= $true )
| ( ( SV34 @ SV103 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[708]) ).
thf(788,plain,
! [SV104: set_Product_prod_b_b] :
( ( ! [SV150: set_Product_prod_b_b] :
( ( ord_le1036320359od_b_b @ SV104 @ SV150 )
= ( ! [SY507: product_prod_b_b] :
( ~ ( member1285940496od_b_b @ SY507 @ SV104 )
| ( member1285940496od_b_b @ SY507 @ SV150 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[709]) ).
thf(789,plain,
! [SV104: set_Product_prod_b_b] :
( ( ( ord_le1036320359od_b_b @ SV104 )
= ( ^ [SY445: set_Product_prod_b_b] :
! [SY446: product_prod_b_b] :
( ~ ( member1285940496od_b_b @ SY446 @ SV104 )
| ( member1285940496od_b_b @ SY446 @ SY445 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[709]) ).
thf(790,plain,
! [SV105: set_Product_prod_b_b] :
( ( ! [SV151: set_Product_prod_b_b] :
( ( ord_le1036320359od_b_b @ SV105 @ SV151 )
= ( ! [SY508: product_prod_b_b] :
( ~ ( member1285940496od_b_b @ SY508 @ SV105 )
| ( member1285940496od_b_b @ SY508 @ SV151 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[710]) ).
thf(791,plain,
! [SV105: set_Product_prod_b_b] :
( ( ( ord_le1036320359od_b_b @ SV105 )
= ( ^ [SY447: set_Product_prod_b_b] :
! [SY448: product_prod_b_b] :
( ~ ( member1285940496od_b_b @ SY448 @ SV105 )
| ( member1285940496od_b_b @ SY448 @ SY447 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[710]) ).
thf(792,plain,
! [SV106: set_Product_prod_b_b,SV37: product_prod_b_b] :
( ( ( ~ ( member1285940496od_b_b @ SV37 @ SV106 ) )
= $true )
| ( ( member1652792080od_b_b @ ( produc546497367od_b_b @ SV37 @ SV37 ) @ ( id_on_2019020932od_b_b @ SV106 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[711]) ).
thf(793,plain,
! [SV107: set_Product_prod_b_b,SV38: produc1168037607od_b_b] :
( ( ( ~ ( member1652792080od_b_b @ SV38 @ ( id_on_2019020932od_b_b @ SV107 ) ) )
= $true )
| ( ( ~ ! [SY449: product_prod_b_b] :
( ~ ( member1285940496od_b_b @ SY449 @ SV107 )
| ( SV38
!= ( produc546497367od_b_b @ SY449 @ SY449 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[712]) ).
thf(794,plain,
! [SV152: product_prod_b_b,SV108: set_Product_prod_b_b,SV39: product_prod_b_b] :
( ( ~ ( ~ ~ ( member1285940496od_b_b @ SV39 @ SV108 )
| ( SV39 = SV152 ) )
| ( member1285940496od_b_b @ SV39 @ ( insert1952693431od_b_b @ SV152 @ SV108 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[713]) ).
thf(795,plain,
! [SV153: product_prod_b_b,SV109: set_Pr2007082183od_b_b,SV40: set_Product_prod_b_b] :
( ( ! [SY509: product_prod_b_b] :
( ~ ( refl_o2134473190od_b_b @ SV40 @ SV109 )
| ~ ( member1652792080od_b_b @ ( produc546497367od_b_b @ SV153 @ SY509 ) @ SV109 )
| ( member1285940496od_b_b @ SV153 @ SV40 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[714]) ).
thf(796,plain,
! [SV154: set_Product_prod_b_b,SV110: product_prod_b_b,SV41: product_prod_b_b] :
( ( ~ ( member1285940496od_b_b @ SV41 @ ( insert1952693431od_b_b @ SV110 @ SV154 ) )
| ~ ( ( SV41 != SV110 ) )
| ( member1285940496od_b_b @ SV41 @ SV154 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[715]) ).
thf(797,plain,
! [SV155: b,SV111: b,SV42: set_Product_prod_b_b] :
( ( ~ ( sym_b @ SV42 )
| ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SV111 @ SV155 ) @ SV42 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SV155 @ SV111 ) @ SV42 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[716]) ).
thf(798,plain,
! [SV156: b,SV112: b,SV43: labeled_graph_a_b] :
( ( ! [SY510: a] :
( ( SV43
!= ( restrict_a_b @ SV43 ) )
| ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SV112 @ SV156 ) @ ( getRel_a_b @ SY510 @ SV43 ) )
| ( member_b @ SV112 @ ( labeled_vertices_a_b @ SV43 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[717]) ).
thf(799,plain,
! [SV44: set_Product_prod_b_b] :
( ( ( ~ ( ~ ! [SY329: product_prod_b_b] :
~ ( member1285940496od_b_b @ SY329 @ SV44 )
| ( SV44 != bot_bo1343651123od_b_b ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SY329: product_prod_b_b] :
~ ( member1285940496od_b_b @ SY329 @ SV44 )
| ~ ( ( SV44 != bot_bo1343651123od_b_b ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[718]) ).
thf(800,plain,
! [SV157: set_Product_prod_b_b,SV113: product_prod_b_b,SV45: product_prod_b_b] :
( ( ( SV45 != SV113 )
| ~ ( member1285940496od_b_b @ SV45 @ SV157 )
| ( member1652792080od_b_b @ ( produc546497367od_b_b @ SV45 @ SV113 ) @ ( id_on_2019020932od_b_b @ SV157 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[720]) ).
thf(801,plain,
! [SV114: set_b] :
( ( ! [SV158: set_Product_prod_b_b] :
( ( total_on_b @ SV114 @ SV158 )
= ( ! [SY511: b] :
( ~ ( member_b @ SY511 @ SV114 )
| ! [SY512: b] :
( ~ ( member_b @ SY512 @ SV114 )
| ~ ( ( SY511 != SY512 ) )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SY511 @ SY512 ) @ SV158 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SY512 @ SY511 ) @ SV158 ) ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[721]) ).
thf(802,plain,
! [SV114: set_b] :
( ( ( total_on_b @ SV114 )
= ( ^ [SY458: set_Product_prod_b_b] :
! [SY459: b] :
( ~ ( member_b @ SY459 @ SV114 )
| ! [SY460: b] :
( ~ ( member_b @ SY460 @ SV114 )
| ~ ( ( SY459 != SY460 ) )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SY459 @ SY460 ) @ SY458 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SY460 @ SY459 ) @ SY458 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[721]) ).
thf(803,plain,
! [SV159: product_prod_b_b,SV115: set_Product_prod_b_b,SV47: set_Product_prod_b_b] :
( ( ~ ( ord_le1036320359od_b_b @ SV47 @ SV115 )
| ~ ( member1285940496od_b_b @ SV159 @ SV47 )
| ( member1285940496od_b_b @ SV159 @ SV115 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[722]) ).
thf(804,plain,
! [SV48: product_prod_b_b] :
( ( ~ ~ ! [SY513: b] :
( SV48
!= ( product_Pair_b_b @ ( sK3_SY337 @ SV48 ) @ SY513 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[723]) ).
thf(805,plain,
! [SV160: b,SV116: b,SV49: labeled_graph_a_b] :
( ( ! [SY514: a] :
( ( SV49
!= ( restrict_a_b @ SV49 ) )
| ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SV116 @ SV160 ) @ ( getRel_a_b @ SY514 @ SV49 ) )
| ( member_b @ SV160 @ ( labeled_vertices_a_b @ SV49 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[724]) ).
thf(806,plain,
! [SV161: b,SV117: b,SV50: b] :
( ( ! [SY515: b] :
( ( ( product_Pair_b_b @ SV50 @ SV117 )
!= ( product_Pair_b_b @ SV161 @ SY515 ) )
| ~ ( ( SV50 != SV161 )
| ( SV117 != SY515 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[725]) ).
thf(807,plain,
! [SV162: set_Product_prod_b_b,SV118: set_Product_prod_b_b,SV51: product_prod_b_b] :
( ( ~ ~ ( member1285940496od_b_b @ SV51 @ SV118 )
| ( ( ord_le1036320359od_b_b @ SV118 @ ( insert1952693431od_b_b @ SV51 @ SV162 ) )
= ( ord_le1036320359od_b_b @ SV118 @ SV162 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[726]) ).
thf(808,plain,
( ( ~ ( ~ ( refl_on_b @ ( labeled_vertices_a_b @ g ) @ ( getRel_a_b @ i @ g ) )
| ~ ! [SX0: b,SX1: b] :
( ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SX0 @ SX1 ) @ ( getRel_a_b @ i @ g ) )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SX1 @ SX0 ) @ ( getRel_a_b @ i @ g ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[727]) ).
thf(809,plain,
( ( trans_b @ ( getRel_a_b @ i @ g ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[728]) ).
thf(810,plain,
! [SV163: product_prod_b_b,SV119: set_Pr2007082183od_b_b,SV52: set_Product_prod_b_b] :
( ( ~ ( refl_o2134473190od_b_b @ SV52 @ SV119 )
| ~ ( member1285940496od_b_b @ SV163 @ SV52 )
| ( member1652792080od_b_b @ ( produc546497367od_b_b @ SV163 @ SV163 ) @ SV119 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[729]) ).
thf(811,plain,
! [SV53: set_Product_prod_b_b] :
( ( ( ! [SY349: b,SY350: b,SY351: b] :
( ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SY349 @ SY350 ) @ SV53 )
| ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SY350 @ SY351 ) @ SV53 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SY349 @ SY351 ) @ SV53 ) ) )
= $false )
| ( ( trans_b @ SV53 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[730]) ).
thf(812,plain,
! [SV120: set_Pr2007082183od_b_b,SV54: set_Product_prod_b_b] :
( ( ( ~ ! [SY468: product_prod_b_b,SY469: product_prod_b_b] :
( ~ ( member1285940496od_b_b @ SY468 @ SV54 )
| ~ ( member1285940496od_b_b @ SY469 @ SV54 )
| ~ ( ( SY468 != SY469 ) )
| ( member1652792080od_b_b @ ( produc546497367od_b_b @ SY468 @ SY469 ) @ SV120 )
| ( member1652792080od_b_b @ ( produc546497367od_b_b @ SY469 @ SY468 ) @ SV120 ) ) )
= $true )
| ( ( total_178717291od_b_b @ SV54 @ SV120 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[731]) ).
thf(813,plain,
! [SV121: product_prod_b_b,SV55: product_prod_b_b] :
( ( ( ~ ( member1285940496od_b_b @ SV55 @ ( insert1952693431od_b_b @ SV121 @ bot_bo1343651123od_b_b ) ) )
= $true )
| ( ( SV55 = SV121 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[732]) ).
thf(814,plain,
! [SV122: produc1168037607od_b_b,SV56: produc1168037607od_b_b > $o] :
( ( ( ~ ! [SY357: product_prod_b_b,SY358: b,SY359: b] : ( SV56 @ ( produc546497367od_b_b @ SY357 @ ( product_Pair_b_b @ SY358 @ SY359 ) ) ) )
= $true )
| ( ( SV56 @ SV122 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[733]) ).
thf(815,plain,
! [SV164: set_b,SV123: b,SV57: b] :
( ( ( member1285940496od_b_b @ ( product_Pair_b_b @ SV57 @ SV123 ) @ ( id_on_b @ SV164 ) )
= ( ~ ( ( SV57 != SV123 )
| ~ ( member_b @ SV57 @ SV164 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[734]) ).
thf(816,plain,
! [SV165: b,SV124: b,SV58: b > $o] :
( ( ! [SY516: b,SY517: b > set_Product_prod_b_b] :
( ~ ( SV58 @ SV124 )
| ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SV165 @ SY516 ) @ ( SY517 @ SV124 ) )
| ( member1652792080od_b_b @ ( produc546497367od_b_b @ ( product_Pair_b_b @ SV124 @ SV165 ) @ ( product_Pair_b_b @ SV124 @ SY516 ) ) @ ( same_fst_b_b @ SV58 @ SY517 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[735]) ).
thf(817,plain,
! [SV166: b,SV125: b,SV59: set_Product_prod_b_b] :
( ( ~ ( sym_b @ SV59 )
| ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SV125 @ SV166 ) @ SV59 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SV166 @ SV125 ) @ SV59 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[736]) ).
thf(818,plain,
! [SV167: set_Product_prod_b_b,SV126: product_prod_b_b,SV60: product_prod_b_b] :
( ( ( member1652792080od_b_b @ ( produc546497367od_b_b @ SV60 @ SV126 ) @ ( id_on_2019020932od_b_b @ SV167 ) )
= ( ~ ( ( SV60 != SV126 )
| ~ ( member1285940496od_b_b @ SV60 @ SV167 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[737]) ).
thf(819,plain,
! [SV168: b,SV127: set_Product_prod_b_b,SV61: set_b] :
( ( ! [SY518: b] :
( ~ ( refl_on_b @ SV61 @ SV127 )
| ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SV168 @ SY518 ) @ SV127 )
| ( member_b @ SY518 @ SV61 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[738]) ).
thf(820,plain,
! [SV62: set_Product_prod_b_b] :
( ( ( SV62 != bot_bo1343651123od_b_b )
= $false )
| ( ( ~ ! [SY373: product_prod_b_b,SY374: product_prod_b_b] :
( ~ ( member1285940496od_b_b @ SY373 @ SV62 )
| ~ ( member1285940496od_b_b @ SY374 @ SV62 )
| ( SY373 = SY374 ) )
| ( is_sin1713057243od_b_b @ SV62 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[739]) ).
thf(821,plain,
! [SV63: set_Product_prod_b_b] :
( ( ( ! [SY375: product_prod_b_b] :
~ ( member1285940496od_b_b @ SY375 @ SV63 ) )
= $false )
| ( ( SV63 = bot_bo1343651123od_b_b )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[740]) ).
thf(822,plain,
! [SV64: set_Product_prod_b_b] :
( ( ( ! [SY376: product_prod_b_b] :
~ ( member1285940496od_b_b @ SY376 @ SV64 ) )
= $false )
| ( ( ord_le1036320359od_b_b @ SV64 @ bot_bo1343651123od_b_b )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[741]) ).
thf(823,plain,
! [SV65: produc1133639312od_b_b] :
( ( ! [SY519: b,SY520: b] :
( SV65
!= ( produc2135284224od_b_b @ ( sK4_SY377 @ SV65 ) @ ( product_Pair_b_b @ SY519 @ SY520 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[742]) ).
thf(824,plain,
! [SV169: set_b,SV128: b,SV66: b] :
( ( ( SV66 != SV128 )
| ~ ( member_b @ SV66 @ SV169 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SV66 @ SV128 ) @ ( id_on_b @ SV169 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[743]) ).
thf(825,plain,
! [SV67: set_Product_prod_b_b] :
( ( ( ! [SY382: b,SY383: b] :
( ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SY382 @ SY383 ) @ SV67 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SY383 @ SY382 ) @ SV67 ) ) )
= $false )
| ( ( sym_b @ SV67 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[744]) ).
thf(826,plain,
! [SV170: b,SV129: set_Product_prod_b_b,SV68: set_b] :
( ( ! [SY521: b] :
( ~ ( refl_on_b @ SV68 @ SV129 )
| ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SV170 @ SY521 ) @ SV129 )
| ~ ( ~ ( member_b @ SV170 @ SV68 )
| ~ ( member_b @ SY521 @ SV68 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[745]) ).
thf(827,plain,
! [SV171: set_Product_prod_b_b,SV130: b,SV69: b] :
( ( ! [SY522: b] :
( ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SV69 @ SV130 ) @ SV171 )
| ( SY522 != SV130 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SV69 @ SY522 ) @ SV171 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[746]) ).
thf(828,plain,
! [SV172: product_prod_b_b,SV131: set_Product_prod_b_b,SV70: product_prod_b_b] :
( ( ! [SY523: set_Product_prod_b_b] :
( ~ ~ ( member1285940496od_b_b @ SV70 @ SV131 )
| ~ ~ ( member1285940496od_b_b @ SV172 @ SY523 )
| ( ( ( insert1952693431od_b_b @ SV70 @ SV131 )
= ( insert1952693431od_b_b @ SV172 @ SY523 ) )
= ( ~ ( ~ ( ( SV70 != SV172 )
| ( SV131 = SY523 ) )
| ~ ( ~ ( ( SV70 != SV172 ) )
| ~ ! [SY524: set_Product_prod_b_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV131
!= ( insert1952693431od_b_b @ SV172 @ SY524 ) )
| ~ ~ ( member1285940496od_b_b @ SV172 @ SY524 ) )
| ( SY523
!= ( insert1952693431od_b_b @ SV70 @ SY524 ) ) )
| ~ ~ ( member1285940496od_b_b @ SV70 @ SY524 ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[747]) ).
thf(829,plain,
! [SV173: set_Product_prod_b_b,SV132: set_Product_prod_b_b,SV71: product_prod_b_b] :
( ( ~ ~ ( member1285940496od_b_b @ SV71 @ SV132 )
| ~ ~ ( member1285940496od_b_b @ SV71 @ SV173 )
| ( ( ( insert1952693431od_b_b @ SV71 @ SV132 )
= ( insert1952693431od_b_b @ SV71 @ SV173 ) )
= ( SV132 = SV173 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[748]) ).
thf(830,plain,
! [SV133: product_prod_b_b,SV72: set_Product_prod_b_b] :
( ( ( SV72 != bot_bo1343651123od_b_b )
= $true )
| ( ( ~ ( member1285940496od_b_b @ SV133 @ SV72 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[749]) ).
thf(831,plain,
! [SV174: product_prod_b_b,SV134: set_Pr2007082183od_b_b,SV73: set_Product_prod_b_b] :
( ( ! [SY525: product_prod_b_b] :
( ~ ( refl_o2134473190od_b_b @ SV73 @ SV134 )
| ~ ( member1652792080od_b_b @ ( produc546497367od_b_b @ SV174 @ SY525 ) @ SV134 )
| ~ ( ~ ( member1285940496od_b_b @ SV174 @ SV73 )
| ~ ( member1285940496od_b_b @ SY525 @ SV73 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[750]) ).
thf(832,plain,
! [SV175: set_Product_prod_b_b,SV135: set_Product_prod_b_b,SV74: product_prod_b_b] :
( ( ~ ( member1285940496od_b_b @ SV74 @ SV135 )
| ~ ( ord_le1036320359od_b_b @ SV175 @ SV135 )
| ( ord_le1036320359od_b_b @ ( insert1952693431od_b_b @ SV74 @ SV175 ) @ SV135 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[751]) ).
thf(833,plain,
! [SV136: set_Product_prod_b_b,SV75: product_prod_b_b] :
( ( ( ~ ( member1285940496od_b_b @ SV75 @ SV136 ) )
= $true )
| ( ( ~ ! [SY493: set_Product_prod_b_b] :
~ ~ ( ( SV136
!= ( insert1952693431od_b_b @ SV75 @ SY493 ) )
| ~ ~ ( member1285940496od_b_b @ SV75 @ SY493 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[752]) ).
thf(834,plain,
! [SV176: b,SV137: b,SV76: set_Product_prod_b_b] :
( ( ! [SY526: b] :
( ~ ( trans_b @ SV76 )
| ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SV137 @ SV176 ) @ SV76 )
| ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SV176 @ SY526 ) @ SV76 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SV137 @ SY526 ) @ SV76 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[753]) ).
thf(835,plain,
! [SV138: set_Product_prod_b_b,SV77: product_prod_b_b] :
( ( ( ~ ( member1285940496od_b_b @ SV77 @ SV138 ) )
= $true )
| ( ( ~ ! [SY496: set_Product_prod_b_b] :
( ( SV138
!= ( insert1952693431od_b_b @ SV77 @ SY496 ) )
| ( member1285940496od_b_b @ SV77 @ SY496 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[754]) ).
thf(836,plain,
! [SV78: product_prod_b_b > $o,SV1: product_prod_b_b] :
( ( ( ~ ( ( member1285940496od_b_b @ SV1 @ ( collec1481886546od_b_b @ SV78 ) )
| ( SV78 @ SV1 ) ) )
= $true )
| ( ( ~ ( ~ ( member1285940496od_b_b @ SV1 @ ( collec1481886546od_b_b @ SV78 ) )
| ~ ( SV78 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[755]) ).
thf(837,plain,
! [SV139: set_Product_prod_b_b,SV79: product_prod_b_b,SV5: product_prod_b_b] :
( ( ~ ( ( member1285940496od_b_b @ SV5 @ ( insert1952693431od_b_b @ SV79 @ SV139 ) )
| ( SV5 = SV79 )
| ( member1285940496od_b_b @ SV5 @ SV139 ) )
| ~ ( ~ ( member1285940496od_b_b @ SV5 @ ( insert1952693431od_b_b @ SV79 @ SV139 ) )
| ~ ( ( SV5 = SV79 )
| ( member1285940496od_b_b @ SV5 @ SV139 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[757]) ).
thf(838,plain,
! [SV139: set_Product_prod_b_b,SV79: product_prod_b_b,SV5: product_prod_b_b] :
( ( ( member1285940496od_b_b @ SV5 @ ( insert1952693431od_b_b @ SV79 @ SV139 ) )
= ( ( SV5 = SV79 )
| ( member1285940496od_b_b @ SV5 @ SV139 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[757]) ).
thf(839,plain,
! [SV7: set_Product_prod_b_b] :
( ( ( ! [SY248: product_prod_b_b] :
~ ( member1285940496od_b_b @ SY248 @ SV7 )
| ( SV7 = bot_bo1343651123od_b_b ) )
= $false )
| ( ( ~ ( ~ ! [SY248: product_prod_b_b] :
~ ( member1285940496od_b_b @ SY248 @ SV7 )
| ( SV7 != bot_bo1343651123od_b_b ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[758]) ).
thf(840,plain,
! [SV81: product_prod_b_b,SV10: product_prod_b_b] :
( ( ( ~ ( ( member1285940496od_b_b @ SV10 @ ( insert1952693431od_b_b @ SV81 @ bot_bo1343651123od_b_b ) )
| ( SV10 = SV81 ) ) )
= $true )
| ( ( ~ ( ~ ( member1285940496od_b_b @ SV10 @ ( insert1952693431od_b_b @ SV81 @ bot_bo1343651123od_b_b ) )
| ( SV10 != SV81 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[759]) ).
thf(841,plain,
! [SV82: product_prod_b_b] :
( ( ( ~ ( ( bot_bo1302443370_b_b_o @ SV82 )
| ( member1285940496od_b_b @ SV82 @ bot_bo1343651123od_b_b ) ) )
= $true )
| ( ( ~ ( ~ ( bot_bo1302443370_b_b_o @ SV82 )
| ~ ( member1285940496od_b_b @ SV82 @ bot_bo1343651123od_b_b ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[761]) ).
thf(842,plain,
! [SV140: b,SV83: set_Product_prod_b_b,SV12: set_b] :
( ( ( ~ ( refl_on_b @ SV12 @ SV83 ) )
= $true )
| ( ( ~ ( member_b @ SV140 @ SV12 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SV140 @ SV140 ) @ SV83 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[763]) ).
thf(843,plain,
! [SV84: set_Product_prod_b_b,SV13: product_prod_b_b] :
( ( ( member1285940496od_b_b @ SV13 @ SV84 )
= $false )
| ( ( ( insert1952693431od_b_b @ SV13 @ SV84 )
= SV84 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[764]) ).
thf(844,plain,
! [SV85: set_b,SV14: product_prod_b_b] :
( ( ( member1285940496od_b_b @ SV14 @ ( id_on_b @ SV85 ) )
= $false )
| ( ( ~ ! [SY411: b] :
( ~ ( member_b @ SY411 @ SV85 )
| ( SV14
!= ( product_Pair_b_b @ SY411 @ SY411 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[765]) ).
thf(845,plain,
! [SV15: product_prod_b_b] :
( ( SV15
!= ( product_Pair_b_b @ ( sK1_SY256 @ SV15 ) @ ( sK5_SY497 @ SV15 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[766]) ).
thf(846,plain,
! [SV177: product_prod_b_b,SV141: product_prod_b_b,SV86: set_Pr2007082183od_b_b,SV16: set_Product_prod_b_b] :
( ( ~ ( refl_o2134473190od_b_b @ SV16 @ SV86 )
| ~ ( member1652792080od_b_b @ ( produc546497367od_b_b @ SV141 @ SV177 ) @ SV86 )
| ( member1285940496od_b_b @ SV177 @ SV16 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[767]) ).
thf(847,plain,
! [SV178: b,SV142: b,SV87: set_Product_prod_b_b,SV17: set_b] :
( ( ~ ( refl_on_b @ SV17 @ SV87 )
| ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SV142 @ SV178 ) @ SV87 )
| ( member_b @ SV142 @ SV17 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[768]) ).
thf(848,plain,
! [SV88: set_Product_prod_b_b] :
( ( ( ~ ( ( trans_b @ SV88 )
| ! [SY416: b,SY417: b,SY418: b] :
( ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SY416 @ SY417 ) @ SV88 )
| ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SY417 @ SY418 ) @ SV88 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SY416 @ SY418 ) @ SV88 ) ) ) )
= $true )
| ( ( ~ ( ~ ( trans_b @ SV88 )
| ~ ! [SY416: b,SY417: b,SY418: b] :
( ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SY416 @ SY417 ) @ SV88 )
| ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SY417 @ SY418 ) @ SV88 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SY416 @ SY418 ) @ SV88 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[769]) ).
thf(849,plain,
! [SV89: product_prod_b_b,SV19: product_prod_b_b > $o] :
( ( ( ! [SY268: b,SY269: b] : ( SV19 @ ( product_Pair_b_b @ SY268 @ SY269 ) ) )
= $false )
| ( ( SV19 @ SV89 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[771]) ).
thf(850,plain,
! [SV90: set_Product_prod_b_b,SV20: set_b] :
( ( ( ! [SY421: b,SY422: b] :
( ~ ( member_b @ SY421 @ SV20 )
| ~ ( member_b @ SY422 @ SV20 )
| ~ ( ( SY421 != SY422 ) )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SY421 @ SY422 ) @ SV90 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SY422 @ SY421 ) @ SV90 ) ) )
= $false )
| ( ( total_on_b @ SV20 @ SV90 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[772]) ).
thf(851,plain,
! [SV91: product_prod_b_b,SV21: product_prod_b_b > $o] :
( ( ( ! [SY274: b,SY275: b] : ( SV21 @ ( product_Pair_b_b @ SY274 @ SY275 ) ) )
= $false )
| ( ( SV21 @ SV91 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[773]) ).
thf(852,plain,
! [SV92: set_Product_prod_b_b,SV22: set_Product_prod_b_b] :
( ( ( ! [SY425: b,SY426: b] :
( ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SY425 @ SY426 ) @ SV22 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SY425 @ SY426 ) @ SV92 ) ) )
= $false )
| ( ( ord_le1036320359od_b_b @ SV22 @ SV92 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[774]) ).
thf(853,plain,
! [SV143: set_Product_prod_b_b,SV93: set_Product_prod_b_b,SV23: product_prod_b_b] :
( ( ~ ( ( ord_le1036320359od_b_b @ ( insert1952693431od_b_b @ SV23 @ SV93 ) @ SV143 )
| ~ ( ~ ( member1285940496od_b_b @ SV23 @ SV143 )
| ~ ( ord_le1036320359od_b_b @ SV93 @ SV143 ) ) )
| ~ ( ~ ( ord_le1036320359od_b_b @ ( insert1952693431od_b_b @ SV23 @ SV93 ) @ SV143 )
| ~ ~ ( ~ ( member1285940496od_b_b @ SV23 @ SV143 )
| ~ ( ord_le1036320359od_b_b @ SV93 @ SV143 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[775]) ).
thf(854,plain,
! [SV143: set_Product_prod_b_b,SV93: set_Product_prod_b_b,SV23: product_prod_b_b] :
( ( ( ord_le1036320359od_b_b @ ( insert1952693431od_b_b @ SV23 @ SV93 ) @ SV143 )
= ( ~ ( ~ ( member1285940496od_b_b @ SV23 @ SV143 )
| ~ ( ord_le1036320359od_b_b @ SV93 @ SV143 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[775]) ).
thf(855,plain,
! [SV179: b,SV144: b,SV94: b,SV24: b] :
( ( ( ( product_Pair_b_b @ SV24 @ SV94 )
= ( product_Pair_b_b @ SV144 @ SV179 ) )
= ( ~ ( ( SV24 != SV144 )
| ( SV94 != SV179 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[776]) ).
thf(856,plain,
! [SV180: labeled_graph_a_b,SV145: a,SV95: b,SV25: b] :
( ( ! [SY527: labeled_graph_a_b] :
( ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SV25 @ SV95 ) @ ( getRel_a_b @ SV145 @ SV180 ) )
| ~ ( graph_1322245399_a_b_b @ SV180 @ SY527 @ ( id_on_b @ ( labeled_vertices_a_b @ SV180 ) ) )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SV25 @ SV95 ) @ ( getRel_a_b @ SV145 @ SY527 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[777]) ).
thf(857,plain,
! [SV146: product_prod_b_b,SV96: set_Product_prod_b_b,SV26: product_prod_b_b] :
( ( ( ~ ( member1285940496od_b_b @ SV26 @ SV96 ) )
= $true )
| ( ( member1285940496od_b_b @ SV26 @ ( insert1952693431od_b_b @ SV146 @ SV96 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[778]) ).
thf(858,plain,
! [SV147: product_prod_b_b,SV97: set_Product_prod_b_b,SV27: set_Product_prod_b_b] :
( ( ( ~ ( ord_le1036320359od_b_b @ SV27 @ SV97 ) )
= $true )
| ( ( ~ ( member1285940496od_b_b @ SV147 @ SV27 )
| ( member1285940496od_b_b @ SV147 @ SV97 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[779]) ).
thf(859,plain,
! [SV98: set_b,SV28: b] :
( ( ( member_b @ SV28 @ SV98 )
= $false )
| ( ( member1285940496od_b_b @ ( product_Pair_b_b @ SV28 @ SV28 ) @ ( id_on_b @ SV98 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[780]) ).
thf(860,plain,
! [SV29: produc1168037607od_b_b] :
( ( ! [SY528: b] :
( SV29
!= ( produc546497367od_b_b @ ( sK2_SY293 @ SV29 ) @ ( product_Pair_b_b @ ( sK6_SY503 @ SV29 ) @ SY528 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[781]) ).
thf(861,plain,
! [SV181: b,SV148: b,SV99: b,SV30: set_Product_prod_b_b] :
( ( ~ ( trans_b @ SV30 )
| ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SV99 @ SV148 ) @ SV30 )
| ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SV148 @ SV181 ) @ SV30 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SV99 @ SV181 ) @ SV30 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[782]) ).
thf(862,plain,
! [SV182: b,SV149: b,SV100: b,SV31: b] :
( ( ( ( product_Pair_b_b @ SV31 @ SV100 )
= ( product_Pair_b_b @ SV149 @ SV182 ) )
= ( ~ ( ( SV31 != SV149 )
| ( SV100 != SV182 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[783]) ).
thf(863,plain,
! [SV101: set_Product_prod_b_b,SV32: set_Product_prod_b_b] :
( ( ( ! [SY439: product_prod_b_b] :
( ~ ( member1285940496od_b_b @ SY439 @ SV32 )
| ( member1285940496od_b_b @ SY439 @ SV101 ) ) )
= $false )
| ( ( ord_le1036320359od_b_b @ SV32 @ SV101 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[784]) ).
thf(864,plain,
! [SV102: set_Product_prod_b_b] :
( ( ( ~ ( ( sym_b @ SV102 )
| ! [SY440: b,SY441: b] :
( ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SY440 @ SY441 ) @ SV102 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SY441 @ SY440 ) @ SV102 ) ) ) )
= $true )
| ( ( ~ ( ~ ( sym_b @ SV102 )
| ~ ! [SY440: b,SY441: b] :
( ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SY440 @ SY441 ) @ SV102 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SY441 @ SY440 ) @ SV102 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[785]) ).
thf(865,plain,
! [SV103: produc1133639312od_b_b,SV34: produc1133639312od_b_b > $o] :
( ( ( ! [SY307: a,SY308: b,SY309: b] : ( SV34 @ ( produc2135284224od_b_b @ SY307 @ ( product_Pair_b_b @ SY308 @ SY309 ) ) ) )
= $false )
| ( ( SV34 @ SV103 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[787]) ).
thf(866,plain,
! [SV183: set_Product_prod_b_b,SV104: set_Product_prod_b_b] :
( ( ( ord_le1036320359od_b_b @ SV104 @ SV183 )
= ( ! [SY529: product_prod_b_b] :
( ~ ( member1285940496od_b_b @ SY529 @ SV104 )
| ( member1285940496od_b_b @ SY529 @ SV183 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[788]) ).
thf(867,plain,
! [SV184: set_Product_prod_b_b,SV105: set_Product_prod_b_b] :
( ( ( ord_le1036320359od_b_b @ SV105 @ SV184 )
= ( ! [SY530: product_prod_b_b] :
( ~ ( member1285940496od_b_b @ SY530 @ SV105 )
| ( member1285940496od_b_b @ SY530 @ SV184 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[790]) ).
thf(868,plain,
! [SV106: set_Product_prod_b_b,SV37: product_prod_b_b] :
( ( ( member1285940496od_b_b @ SV37 @ SV106 )
= $false )
| ( ( member1652792080od_b_b @ ( produc546497367od_b_b @ SV37 @ SV37 ) @ ( id_on_2019020932od_b_b @ SV106 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[792]) ).
thf(869,plain,
! [SV107: set_Product_prod_b_b,SV38: produc1168037607od_b_b] :
( ( ( member1652792080od_b_b @ SV38 @ ( id_on_2019020932od_b_b @ SV107 ) )
= $false )
| ( ( ~ ! [SY449: product_prod_b_b] :
( ~ ( member1285940496od_b_b @ SY449 @ SV107 )
| ( SV38
!= ( produc546497367od_b_b @ SY449 @ SY449 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[793]) ).
thf(870,plain,
! [SV152: product_prod_b_b,SV108: set_Product_prod_b_b,SV39: product_prod_b_b] :
( ( ( ~ ( ~ ~ ( member1285940496od_b_b @ SV39 @ SV108 )
| ( SV39 = SV152 ) ) )
= $true )
| ( ( member1285940496od_b_b @ SV39 @ ( insert1952693431od_b_b @ SV152 @ SV108 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[794]) ).
thf(871,plain,
! [SV185: product_prod_b_b,SV153: product_prod_b_b,SV109: set_Pr2007082183od_b_b,SV40: set_Product_prod_b_b] :
( ( ~ ( refl_o2134473190od_b_b @ SV40 @ SV109 )
| ~ ( member1652792080od_b_b @ ( produc546497367od_b_b @ SV153 @ SV185 ) @ SV109 )
| ( member1285940496od_b_b @ SV153 @ SV40 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[795]) ).
thf(872,plain,
! [SV154: set_Product_prod_b_b,SV110: product_prod_b_b,SV41: product_prod_b_b] :
( ( ( ~ ( member1285940496od_b_b @ SV41 @ ( insert1952693431od_b_b @ SV110 @ SV154 ) ) )
= $true )
| ( ( ~ ( ( SV41 != SV110 ) )
| ( member1285940496od_b_b @ SV41 @ SV154 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[796]) ).
thf(873,plain,
! [SV155: b,SV111: b,SV42: set_Product_prod_b_b] :
( ( ( ~ ( sym_b @ SV42 ) )
= $true )
| ( ( ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SV111 @ SV155 ) @ SV42 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SV155 @ SV111 ) @ SV42 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[797]) ).
thf(874,plain,
! [SV186: a,SV156: b,SV112: b,SV43: labeled_graph_a_b] :
( ( ( SV43
!= ( restrict_a_b @ SV43 ) )
| ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SV112 @ SV156 ) @ ( getRel_a_b @ SV186 @ SV43 ) )
| ( member_b @ SV112 @ ( labeled_vertices_a_b @ SV43 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[798]) ).
thf(875,plain,
! [SV44: set_Product_prod_b_b] :
( ( ( ~ ! [SY329: product_prod_b_b] :
~ ( member1285940496od_b_b @ SY329 @ SV44 )
| ( SV44 != bot_bo1343651123od_b_b ) )
= $false )
| ( ( ~ ( ~ ~ ! [SY329: product_prod_b_b] :
~ ( member1285940496od_b_b @ SY329 @ SV44 )
| ~ ( ( SV44 != bot_bo1343651123od_b_b ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[799]) ).
thf(876,plain,
! [SV157: set_Product_prod_b_b,SV113: product_prod_b_b,SV45: product_prod_b_b] :
( ( ( SV45 != SV113 )
= $true )
| ( ( ~ ( member1285940496od_b_b @ SV45 @ SV157 )
| ( member1652792080od_b_b @ ( produc546497367od_b_b @ SV45 @ SV113 ) @ ( id_on_2019020932od_b_b @ SV157 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[800]) ).
thf(877,plain,
! [SV187: set_Product_prod_b_b,SV114: set_b] :
( ( ( total_on_b @ SV114 @ SV187 )
= ( ! [SY531: b] :
( ~ ( member_b @ SY531 @ SV114 )
| ! [SY532: b] :
( ~ ( member_b @ SY532 @ SV114 )
| ~ ( ( SY531 != SY532 ) )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SY531 @ SY532 ) @ SV187 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SY532 @ SY531 ) @ SV187 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[801]) ).
thf(878,plain,
! [SV159: product_prod_b_b,SV115: set_Product_prod_b_b,SV47: set_Product_prod_b_b] :
( ( ( ~ ( ord_le1036320359od_b_b @ SV47 @ SV115 ) )
= $true )
| ( ( ~ ( member1285940496od_b_b @ SV159 @ SV47 )
| ( member1285940496od_b_b @ SV159 @ SV115 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[803]) ).
thf(879,plain,
! [SV48: product_prod_b_b] :
( ( ~ ! [SY513: b] :
( SV48
!= ( product_Pair_b_b @ ( sK3_SY337 @ SV48 ) @ SY513 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[804]) ).
thf(880,plain,
! [SV188: a,SV160: b,SV116: b,SV49: labeled_graph_a_b] :
( ( ( SV49
!= ( restrict_a_b @ SV49 ) )
| ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SV116 @ SV160 ) @ ( getRel_a_b @ SV188 @ SV49 ) )
| ( member_b @ SV160 @ ( labeled_vertices_a_b @ SV49 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[805]) ).
thf(881,plain,
! [SV189: b,SV161: b,SV117: b,SV50: b] :
( ( ( ( product_Pair_b_b @ SV50 @ SV117 )
!= ( product_Pair_b_b @ SV161 @ SV189 ) )
| ~ ( ( SV50 != SV161 )
| ( SV117 != SV189 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[806]) ).
thf(882,plain,
! [SV162: set_Product_prod_b_b,SV118: set_Product_prod_b_b,SV51: product_prod_b_b] :
( ( ( ~ ~ ( member1285940496od_b_b @ SV51 @ SV118 ) )
= $true )
| ( ( ( ord_le1036320359od_b_b @ SV118 @ ( insert1952693431od_b_b @ SV51 @ SV162 ) )
= ( ord_le1036320359od_b_b @ SV118 @ SV162 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[807]) ).
thf(883,plain,
( ( ~ ( refl_on_b @ ( labeled_vertices_a_b @ g ) @ ( getRel_a_b @ i @ g ) )
| ~ ! [SX0: b,SX1: b] :
( ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SX0 @ SX1 ) @ ( getRel_a_b @ i @ g ) )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SX1 @ SX0 ) @ ( getRel_a_b @ i @ g ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[808]) ).
thf(884,plain,
! [SV163: product_prod_b_b,SV119: set_Pr2007082183od_b_b,SV52: set_Product_prod_b_b] :
( ( ( ~ ( refl_o2134473190od_b_b @ SV52 @ SV119 ) )
= $true )
| ( ( ~ ( member1285940496od_b_b @ SV163 @ SV52 )
| ( member1652792080od_b_b @ ( produc546497367od_b_b @ SV163 @ SV163 ) @ SV119 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[810]) ).
thf(885,plain,
! [SV53: set_Product_prod_b_b] :
( ( ( ! [SY533: b,SY534: b] :
( ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ ( sK7_SY349 @ SV53 ) @ SY533 ) @ SV53 )
| ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SY533 @ SY534 ) @ SV53 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ ( sK7_SY349 @ SV53 ) @ SY534 ) @ SV53 ) ) )
= $false )
| ( ( trans_b @ SV53 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[811]) ).
thf(886,plain,
! [SV120: set_Pr2007082183od_b_b,SV54: set_Product_prod_b_b] :
( ( ( ! [SY468: product_prod_b_b,SY469: product_prod_b_b] :
( ~ ( member1285940496od_b_b @ SY468 @ SV54 )
| ~ ( member1285940496od_b_b @ SY469 @ SV54 )
| ~ ( ( SY468 != SY469 ) )
| ( member1652792080od_b_b @ ( produc546497367od_b_b @ SY468 @ SY469 ) @ SV120 )
| ( member1652792080od_b_b @ ( produc546497367od_b_b @ SY469 @ SY468 ) @ SV120 ) ) )
= $false )
| ( ( total_178717291od_b_b @ SV54 @ SV120 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[812]) ).
thf(887,plain,
! [SV121: product_prod_b_b,SV55: product_prod_b_b] :
( ( ( member1285940496od_b_b @ SV55 @ ( insert1952693431od_b_b @ SV121 @ bot_bo1343651123od_b_b ) )
= $false )
| ( ( SV55 = SV121 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[813]) ).
thf(888,plain,
! [SV122: produc1168037607od_b_b,SV56: produc1168037607od_b_b > $o] :
( ( ( ! [SY357: product_prod_b_b,SY358: b,SY359: b] : ( SV56 @ ( produc546497367od_b_b @ SY357 @ ( product_Pair_b_b @ SY358 @ SY359 ) ) ) )
= $false )
| ( ( SV56 @ SV122 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[814]) ).
thf(889,plain,
! [SV164: set_b,SV123: b,SV57: b] :
( ( ~ ( ( member1285940496od_b_b @ ( product_Pair_b_b @ SV57 @ SV123 ) @ ( id_on_b @ SV164 ) )
| ~ ( ( SV57 != SV123 )
| ~ ( member_b @ SV57 @ SV164 ) ) )
| ~ ( ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SV57 @ SV123 ) @ ( id_on_b @ SV164 ) )
| ~ ~ ( ( SV57 != SV123 )
| ~ ( member_b @ SV57 @ SV164 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[815]) ).
thf(890,plain,
! [SV164: set_b,SV123: b,SV57: b] :
( ( ( member1285940496od_b_b @ ( product_Pair_b_b @ SV57 @ SV123 ) @ ( id_on_b @ SV164 ) )
= ( ~ ( ( SV57 != SV123 )
| ~ ( member_b @ SV57 @ SV164 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[815]) ).
thf(891,plain,
! [SV190: b,SV165: b,SV124: b,SV58: b > $o] :
( ( ! [SY535: b > set_Product_prod_b_b] :
( ~ ( SV58 @ SV124 )
| ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SV165 @ SV190 ) @ ( SY535 @ SV124 ) )
| ( member1652792080od_b_b @ ( produc546497367od_b_b @ ( product_Pair_b_b @ SV124 @ SV165 ) @ ( product_Pair_b_b @ SV124 @ SV190 ) ) @ ( same_fst_b_b @ SV58 @ SY535 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[816]) ).
thf(892,plain,
! [SV166: b,SV125: b,SV59: set_Product_prod_b_b] :
( ( ( ~ ( sym_b @ SV59 ) )
= $true )
| ( ( ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SV125 @ SV166 ) @ SV59 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SV166 @ SV125 ) @ SV59 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[817]) ).
thf(893,plain,
! [SV167: set_Product_prod_b_b,SV126: product_prod_b_b,SV60: product_prod_b_b] :
( ( ~ ( ( member1652792080od_b_b @ ( produc546497367od_b_b @ SV60 @ SV126 ) @ ( id_on_2019020932od_b_b @ SV167 ) )
| ~ ( ( SV60 != SV126 )
| ~ ( member1285940496od_b_b @ SV60 @ SV167 ) ) )
| ~ ( ~ ( member1652792080od_b_b @ ( produc546497367od_b_b @ SV60 @ SV126 ) @ ( id_on_2019020932od_b_b @ SV167 ) )
| ~ ~ ( ( SV60 != SV126 )
| ~ ( member1285940496od_b_b @ SV60 @ SV167 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[818]) ).
thf(894,plain,
! [SV167: set_Product_prod_b_b,SV126: product_prod_b_b,SV60: product_prod_b_b] :
( ( ( member1652792080od_b_b @ ( produc546497367od_b_b @ SV60 @ SV126 ) @ ( id_on_2019020932od_b_b @ SV167 ) )
= ( ~ ( ( SV60 != SV126 )
| ~ ( member1285940496od_b_b @ SV60 @ SV167 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[818]) ).
thf(895,plain,
! [SV191: b,SV168: b,SV127: set_Product_prod_b_b,SV61: set_b] :
( ( ~ ( refl_on_b @ SV61 @ SV127 )
| ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SV168 @ SV191 ) @ SV127 )
| ( member_b @ SV191 @ SV61 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[819]) ).
thf(896,plain,
! [SV62: set_Product_prod_b_b] :
( ( ( SV62 = bot_bo1343651123od_b_b )
= $true )
| ( ( ~ ! [SY373: product_prod_b_b,SY374: product_prod_b_b] :
( ~ ( member1285940496od_b_b @ SY373 @ SV62 )
| ~ ( member1285940496od_b_b @ SY374 @ SV62 )
| ( SY373 = SY374 ) )
| ( is_sin1713057243od_b_b @ SV62 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[820]) ).
thf(897,plain,
! [SV63: set_Product_prod_b_b] :
( ( ( ~ ( member1285940496od_b_b @ ( sK8_SY375 @ SV63 ) @ SV63 ) )
= $false )
| ( ( SV63 = bot_bo1343651123od_b_b )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[821]) ).
thf(898,plain,
! [SV64: set_Product_prod_b_b] :
( ( ( ~ ( member1285940496od_b_b @ ( sK9_SY376 @ SV64 ) @ SV64 ) )
= $false )
| ( ( ord_le1036320359od_b_b @ SV64 @ bot_bo1343651123od_b_b )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[822]) ).
thf(899,plain,
! [SV65: produc1133639312od_b_b] :
( ( ! [SY536: b] :
( SV65
!= ( produc2135284224od_b_b @ ( sK4_SY377 @ SV65 ) @ ( product_Pair_b_b @ ( sK10_SY519 @ SV65 ) @ SY536 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[823]) ).
thf(900,plain,
! [SV169: set_b,SV128: b,SV66: b] :
( ( ( SV66 != SV128 )
= $true )
| ( ( ~ ( member_b @ SV66 @ SV169 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SV66 @ SV128 ) @ ( id_on_b @ SV169 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[824]) ).
thf(901,plain,
! [SV67: set_Product_prod_b_b] :
( ( ( ! [SY537: b] :
( ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ ( sK11_SY382 @ SV67 ) @ SY537 ) @ SV67 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SY537 @ ( sK11_SY382 @ SV67 ) ) @ SV67 ) ) )
= $false )
| ( ( sym_b @ SV67 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[825]) ).
thf(902,plain,
! [SV192: b,SV170: b,SV129: set_Product_prod_b_b,SV68: set_b] :
( ( ~ ( refl_on_b @ SV68 @ SV129 )
| ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SV170 @ SV192 ) @ SV129 )
| ~ ( ~ ( member_b @ SV170 @ SV68 )
| ~ ( member_b @ SV192 @ SV68 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[826]) ).
thf(903,plain,
! [SV193: b,SV171: set_Product_prod_b_b,SV130: b,SV69: b] :
( ( ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SV69 @ SV130 ) @ SV171 )
| ( SV193 != SV130 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SV69 @ SV193 ) @ SV171 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[827]) ).
thf(904,plain,
! [SV194: set_Product_prod_b_b,SV172: product_prod_b_b,SV131: set_Product_prod_b_b,SV70: product_prod_b_b] :
( ( ~ ~ ( member1285940496od_b_b @ SV70 @ SV131 )
| ~ ~ ( member1285940496od_b_b @ SV172 @ SV194 )
| ( ( ( insert1952693431od_b_b @ SV70 @ SV131 )
= ( insert1952693431od_b_b @ SV172 @ SV194 ) )
= ( ~ ( ~ ( ( SV70 != SV172 )
| ( SV131 = SV194 ) )
| ~ ( ~ ( ( SV70 != SV172 ) )
| ~ ! [SY538: set_Product_prod_b_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV131
!= ( insert1952693431od_b_b @ SV172 @ SY538 ) )
| ~ ~ ( member1285940496od_b_b @ SV172 @ SY538 ) )
| ( SV194
!= ( insert1952693431od_b_b @ SV70 @ SY538 ) ) )
| ~ ~ ( member1285940496od_b_b @ SV70 @ SY538 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[828]) ).
thf(905,plain,
! [SV173: set_Product_prod_b_b,SV132: set_Product_prod_b_b,SV71: product_prod_b_b] :
( ( ( ~ ~ ( member1285940496od_b_b @ SV71 @ SV132 ) )
= $true )
| ( ( ~ ~ ( member1285940496od_b_b @ SV71 @ SV173 )
| ( ( ( insert1952693431od_b_b @ SV71 @ SV132 )
= ( insert1952693431od_b_b @ SV71 @ SV173 ) )
= ( SV132 = SV173 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[829]) ).
thf(906,plain,
! [SV133: product_prod_b_b,SV72: set_Product_prod_b_b] :
( ( ( SV72 = bot_bo1343651123od_b_b )
= $false )
| ( ( ~ ( member1285940496od_b_b @ SV133 @ SV72 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[830]) ).
thf(907,plain,
! [SV195: product_prod_b_b,SV174: product_prod_b_b,SV134: set_Pr2007082183od_b_b,SV73: set_Product_prod_b_b] :
( ( ~ ( refl_o2134473190od_b_b @ SV73 @ SV134 )
| ~ ( member1652792080od_b_b @ ( produc546497367od_b_b @ SV174 @ SV195 ) @ SV134 )
| ~ ( ~ ( member1285940496od_b_b @ SV174 @ SV73 )
| ~ ( member1285940496od_b_b @ SV195 @ SV73 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[831]) ).
thf(908,plain,
! [SV175: set_Product_prod_b_b,SV135: set_Product_prod_b_b,SV74: product_prod_b_b] :
( ( ( ~ ( member1285940496od_b_b @ SV74 @ SV135 ) )
= $true )
| ( ( ~ ( ord_le1036320359od_b_b @ SV175 @ SV135 )
| ( ord_le1036320359od_b_b @ ( insert1952693431od_b_b @ SV74 @ SV175 ) @ SV135 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[832]) ).
thf(909,plain,
! [SV136: set_Product_prod_b_b,SV75: product_prod_b_b] :
( ( ( member1285940496od_b_b @ SV75 @ SV136 )
= $false )
| ( ( ~ ! [SY493: set_Product_prod_b_b] :
~ ~ ( ( SV136
!= ( insert1952693431od_b_b @ SV75 @ SY493 ) )
| ~ ~ ( member1285940496od_b_b @ SV75 @ SY493 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[833]) ).
thf(910,plain,
! [SV196: b,SV176: b,SV137: b,SV76: set_Product_prod_b_b] :
( ( ~ ( trans_b @ SV76 )
| ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SV137 @ SV176 ) @ SV76 )
| ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SV176 @ SV196 ) @ SV76 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SV137 @ SV196 ) @ SV76 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[834]) ).
thf(911,plain,
! [SV138: set_Product_prod_b_b,SV77: product_prod_b_b] :
( ( ( member1285940496od_b_b @ SV77 @ SV138 )
= $false )
| ( ( ~ ! [SY496: set_Product_prod_b_b] :
( ( SV138
!= ( insert1952693431od_b_b @ SV77 @ SY496 ) )
| ( member1285940496od_b_b @ SV77 @ SY496 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[835]) ).
thf(912,plain,
! [SV78: product_prod_b_b > $o,SV1: product_prod_b_b] :
( ( ( ( member1285940496od_b_b @ SV1 @ ( collec1481886546od_b_b @ SV78 ) )
| ( SV78 @ SV1 ) )
= $false )
| ( ( ~ ( ~ ( member1285940496od_b_b @ SV1 @ ( collec1481886546od_b_b @ SV78 ) )
| ~ ( SV78 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[836]) ).
thf(913,plain,
! [SV139: set_Product_prod_b_b,SV79: product_prod_b_b,SV5: product_prod_b_b] :
( ( ( ~ ( ( member1285940496od_b_b @ SV5 @ ( insert1952693431od_b_b @ SV79 @ SV139 ) )
| ( SV5 = SV79 )
| ( member1285940496od_b_b @ SV5 @ SV139 ) ) )
= $true )
| ( ( ~ ( ~ ( member1285940496od_b_b @ SV5 @ ( insert1952693431od_b_b @ SV79 @ SV139 ) )
| ~ ( ( SV5 = SV79 )
| ( member1285940496od_b_b @ SV5 @ SV139 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[837]) ).
thf(914,plain,
! [SV7: set_Product_prod_b_b] :
( ( ( ! [SY248: product_prod_b_b] :
~ ( member1285940496od_b_b @ SY248 @ SV7 ) )
= $false )
| ( ( ~ ( ~ ! [SY248: product_prod_b_b] :
~ ( member1285940496od_b_b @ SY248 @ SV7 )
| ( SV7 != bot_bo1343651123od_b_b ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[839]) ).
thf(915,plain,
! [SV7: set_Product_prod_b_b] :
( ( ( SV7 = bot_bo1343651123od_b_b )
= $false )
| ( ( ~ ( ~ ! [SY248: product_prod_b_b] :
~ ( member1285940496od_b_b @ SY248 @ SV7 )
| ( SV7 != bot_bo1343651123od_b_b ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[839]) ).
thf(916,plain,
! [SV81: product_prod_b_b,SV10: product_prod_b_b] :
( ( ( ( member1285940496od_b_b @ SV10 @ ( insert1952693431od_b_b @ SV81 @ bot_bo1343651123od_b_b ) )
| ( SV10 = SV81 ) )
= $false )
| ( ( ~ ( ~ ( member1285940496od_b_b @ SV10 @ ( insert1952693431od_b_b @ SV81 @ bot_bo1343651123od_b_b ) )
| ( SV10 != SV81 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[840]) ).
thf(917,plain,
! [SV82: product_prod_b_b] :
( ( ( ( bot_bo1302443370_b_b_o @ SV82 )
| ( member1285940496od_b_b @ SV82 @ bot_bo1343651123od_b_b ) )
= $false )
| ( ( ~ ( ~ ( bot_bo1302443370_b_b_o @ SV82 )
| ~ ( member1285940496od_b_b @ SV82 @ bot_bo1343651123od_b_b ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[841]) ).
thf(918,plain,
! [SV140: b,SV83: set_Product_prod_b_b,SV12: set_b] :
( ( ( refl_on_b @ SV12 @ SV83 )
= $false )
| ( ( ~ ( member_b @ SV140 @ SV12 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SV140 @ SV140 ) @ SV83 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[842]) ).
thf(919,plain,
! [SV14: product_prod_b_b,SV85: set_b] :
( ( ( ! [SY411: b] :
( ~ ( member_b @ SY411 @ SV85 )
| ( SV14
!= ( product_Pair_b_b @ SY411 @ SY411 ) ) ) )
= $false )
| ( ( member1285940496od_b_b @ SV14 @ ( id_on_b @ SV85 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[844]) ).
thf(920,plain,
! [SV15: product_prod_b_b] :
( ( SV15
= ( product_Pair_b_b @ ( sK1_SY256 @ SV15 ) @ ( sK5_SY497 @ SV15 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[845]) ).
thf(921,plain,
! [SV177: product_prod_b_b,SV141: product_prod_b_b,SV86: set_Pr2007082183od_b_b,SV16: set_Product_prod_b_b] :
( ( ( ~ ( refl_o2134473190od_b_b @ SV16 @ SV86 ) )
= $true )
| ( ( ~ ( member1652792080od_b_b @ ( produc546497367od_b_b @ SV141 @ SV177 ) @ SV86 )
| ( member1285940496od_b_b @ SV177 @ SV16 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[846]) ).
thf(922,plain,
! [SV178: b,SV142: b,SV87: set_Product_prod_b_b,SV17: set_b] :
( ( ( ~ ( refl_on_b @ SV17 @ SV87 ) )
= $true )
| ( ( ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SV142 @ SV178 ) @ SV87 )
| ( member_b @ SV142 @ SV17 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[847]) ).
thf(923,plain,
! [SV88: set_Product_prod_b_b] :
( ( ( ( trans_b @ SV88 )
| ! [SY416: b,SY417: b,SY418: b] :
( ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SY416 @ SY417 ) @ SV88 )
| ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SY417 @ SY418 ) @ SV88 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SY416 @ SY418 ) @ SV88 ) ) )
= $false )
| ( ( ~ ( ~ ( trans_b @ SV88 )
| ~ ! [SY416: b,SY417: b,SY418: b] :
( ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SY416 @ SY417 ) @ SV88 )
| ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SY417 @ SY418 ) @ SV88 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SY416 @ SY418 ) @ SV88 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[848]) ).
thf(924,plain,
! [SV89: product_prod_b_b,SV19: product_prod_b_b > $o] :
( ( ( ! [SY539: b] : ( SV19 @ ( product_Pair_b_b @ ( sK12_SY268 @ SV89 @ SV19 ) @ SY539 ) ) )
= $false )
| ( ( SV19 @ SV89 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[849]) ).
thf(925,plain,
! [SV20: set_b,SV90: set_Product_prod_b_b] :
( ( ( ! [SY540: b] :
( ~ ( member_b @ ( sK13_SY421 @ SV90 @ SV20 ) @ SV20 )
| ~ ( member_b @ SY540 @ SV20 )
| ~ ( ( ( sK13_SY421 @ SV90 @ SV20 )
!= SY540 ) )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ ( sK13_SY421 @ SV90 @ SV20 ) @ SY540 ) @ SV90 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SY540 @ ( sK13_SY421 @ SV90 @ SV20 ) ) @ SV90 ) ) )
= $false )
| ( ( total_on_b @ SV20 @ SV90 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[850]) ).
thf(926,plain,
! [SV91: product_prod_b_b,SV21: product_prod_b_b > $o] :
( ( ( ! [SY541: b] : ( SV21 @ ( product_Pair_b_b @ ( sK14_SY274 @ SV91 @ SV21 ) @ SY541 ) ) )
= $false )
| ( ( SV21 @ SV91 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[851]) ).
thf(927,plain,
! [SV22: set_Product_prod_b_b,SV92: set_Product_prod_b_b] :
( ( ( ! [SY542: b] :
( ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ ( sK15_SY425 @ SV92 @ SV22 ) @ SY542 ) @ SV22 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ ( sK15_SY425 @ SV92 @ SV22 ) @ SY542 ) @ SV92 ) ) )
= $false )
| ( ( ord_le1036320359od_b_b @ SV22 @ SV92 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[852]) ).
thf(928,plain,
! [SV143: set_Product_prod_b_b,SV93: set_Product_prod_b_b,SV23: product_prod_b_b] :
( ( ( ~ ( ( ord_le1036320359od_b_b @ ( insert1952693431od_b_b @ SV23 @ SV93 ) @ SV143 )
| ~ ( ~ ( member1285940496od_b_b @ SV23 @ SV143 )
| ~ ( ord_le1036320359od_b_b @ SV93 @ SV143 ) ) ) )
= $true )
| ( ( ~ ( ~ ( ord_le1036320359od_b_b @ ( insert1952693431od_b_b @ SV23 @ SV93 ) @ SV143 )
| ~ ~ ( ~ ( member1285940496od_b_b @ SV23 @ SV143 )
| ~ ( ord_le1036320359od_b_b @ SV93 @ SV143 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[853]) ).
thf(929,plain,
! [SV179: b,SV144: b,SV94: b,SV24: b] :
( ( ~ ( ( ( product_Pair_b_b @ SV24 @ SV94 )
= ( product_Pair_b_b @ SV144 @ SV179 ) )
| ~ ( ( SV24 != SV144 )
| ( SV94 != SV179 ) ) )
| ~ ( ( ( product_Pair_b_b @ SV24 @ SV94 )
!= ( product_Pair_b_b @ SV144 @ SV179 ) )
| ~ ~ ( ( SV24 != SV144 )
| ( SV94 != SV179 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[855]) ).
thf(930,plain,
! [SV179: b,SV144: b,SV94: b,SV24: b] :
( ( ( ( product_Pair_b_b @ SV24 @ SV94 )
= ( product_Pair_b_b @ SV144 @ SV179 ) )
= ( ~ ( ( SV24 != SV144 )
| ( SV94 != SV179 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[855]) ).
thf(931,plain,
! [SV197: labeled_graph_a_b,SV180: labeled_graph_a_b,SV145: a,SV95: b,SV25: b] :
( ( ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SV25 @ SV95 ) @ ( getRel_a_b @ SV145 @ SV180 ) )
| ~ ( graph_1322245399_a_b_b @ SV180 @ SV197 @ ( id_on_b @ ( labeled_vertices_a_b @ SV180 ) ) )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SV25 @ SV95 ) @ ( getRel_a_b @ SV145 @ SV197 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[856]) ).
thf(932,plain,
! [SV146: product_prod_b_b,SV96: set_Product_prod_b_b,SV26: product_prod_b_b] :
( ( ( member1285940496od_b_b @ SV26 @ SV96 )
= $false )
| ( ( member1285940496od_b_b @ SV26 @ ( insert1952693431od_b_b @ SV146 @ SV96 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[857]) ).
thf(933,plain,
! [SV147: product_prod_b_b,SV97: set_Product_prod_b_b,SV27: set_Product_prod_b_b] :
( ( ( ord_le1036320359od_b_b @ SV27 @ SV97 )
= $false )
| ( ( ~ ( member1285940496od_b_b @ SV147 @ SV27 )
| ( member1285940496od_b_b @ SV147 @ SV97 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[858]) ).
thf(934,plain,
! [SV29: produc1168037607od_b_b] :
( ( SV29
!= ( produc546497367od_b_b @ ( sK2_SY293 @ SV29 ) @ ( product_Pair_b_b @ ( sK6_SY503 @ SV29 ) @ ( sK16_SY528 @ SV29 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[860]) ).
thf(935,plain,
! [SV181: b,SV148: b,SV99: b,SV30: set_Product_prod_b_b] :
( ( ( ~ ( trans_b @ SV30 ) )
= $true )
| ( ( ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SV99 @ SV148 ) @ SV30 )
| ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SV148 @ SV181 ) @ SV30 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SV99 @ SV181 ) @ SV30 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[861]) ).
thf(936,plain,
! [SV182: b,SV149: b,SV100: b,SV31: b] :
( ( ~ ( ( ( product_Pair_b_b @ SV31 @ SV100 )
= ( product_Pair_b_b @ SV149 @ SV182 ) )
| ~ ( ( SV31 != SV149 )
| ( SV100 != SV182 ) ) )
| ~ ( ( ( product_Pair_b_b @ SV31 @ SV100 )
!= ( product_Pair_b_b @ SV149 @ SV182 ) )
| ~ ~ ( ( SV31 != SV149 )
| ( SV100 != SV182 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[862]) ).
thf(937,plain,
! [SV182: b,SV149: b,SV100: b,SV31: b] :
( ( ( ( product_Pair_b_b @ SV31 @ SV100 )
= ( product_Pair_b_b @ SV149 @ SV182 ) )
= ( ~ ( ( SV31 != SV149 )
| ( SV100 != SV182 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[862]) ).
thf(938,plain,
! [SV32: set_Product_prod_b_b,SV101: set_Product_prod_b_b] :
( ( ( ~ ( member1285940496od_b_b @ ( sK17_SY439 @ SV101 @ SV32 ) @ SV32 )
| ( member1285940496od_b_b @ ( sK17_SY439 @ SV101 @ SV32 ) @ SV101 ) )
= $false )
| ( ( ord_le1036320359od_b_b @ SV32 @ SV101 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[863]) ).
thf(939,plain,
! [SV102: set_Product_prod_b_b] :
( ( ( ( sym_b @ SV102 )
| ! [SY440: b,SY441: b] :
( ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SY440 @ SY441 ) @ SV102 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SY441 @ SY440 ) @ SV102 ) ) )
= $false )
| ( ( ~ ( ~ ( sym_b @ SV102 )
| ~ ! [SY440: b,SY441: b] :
( ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SY440 @ SY441 ) @ SV102 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SY441 @ SY440 ) @ SV102 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[864]) ).
thf(940,plain,
! [SV103: produc1133639312od_b_b,SV34: produc1133639312od_b_b > $o] :
( ( ( ! [SY543: b,SY544: b] : ( SV34 @ ( produc2135284224od_b_b @ ( sK18_SY307 @ SV103 @ SV34 ) @ ( product_Pair_b_b @ SY543 @ SY544 ) ) ) )
= $false )
| ( ( SV34 @ SV103 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[865]) ).
thf(941,plain,
! [SV183: set_Product_prod_b_b,SV104: set_Product_prod_b_b] :
( ( ~ ( ( ord_le1036320359od_b_b @ SV104 @ SV183 )
| ! [SY529: product_prod_b_b] :
( ~ ( member1285940496od_b_b @ SY529 @ SV104 )
| ( member1285940496od_b_b @ SY529 @ SV183 ) ) )
| ~ ( ~ ( ord_le1036320359od_b_b @ SV104 @ SV183 )
| ~ ! [SY529: product_prod_b_b] :
( ~ ( member1285940496od_b_b @ SY529 @ SV104 )
| ( member1285940496od_b_b @ SY529 @ SV183 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[866]) ).
thf(942,plain,
! [SV183: set_Product_prod_b_b,SV104: set_Product_prod_b_b] :
( ( ( ord_le1036320359od_b_b @ SV104 @ SV183 )
= ( ! [SY529: product_prod_b_b] :
( ~ ( member1285940496od_b_b @ SY529 @ SV104 )
| ( member1285940496od_b_b @ SY529 @ SV183 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[866]) ).
thf(943,plain,
! [SV184: set_Product_prod_b_b,SV105: set_Product_prod_b_b] :
( ( ~ ( ( ord_le1036320359od_b_b @ SV105 @ SV184 )
| ! [SY530: product_prod_b_b] :
( ~ ( member1285940496od_b_b @ SY530 @ SV105 )
| ( member1285940496od_b_b @ SY530 @ SV184 ) ) )
| ~ ( ~ ( ord_le1036320359od_b_b @ SV105 @ SV184 )
| ~ ! [SY530: product_prod_b_b] :
( ~ ( member1285940496od_b_b @ SY530 @ SV105 )
| ( member1285940496od_b_b @ SY530 @ SV184 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[867]) ).
thf(944,plain,
! [SV184: set_Product_prod_b_b,SV105: set_Product_prod_b_b] :
( ( ( ord_le1036320359od_b_b @ SV105 @ SV184 )
= ( ! [SY530: product_prod_b_b] :
( ~ ( member1285940496od_b_b @ SY530 @ SV105 )
| ( member1285940496od_b_b @ SY530 @ SV184 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[867]) ).
thf(945,plain,
! [SV38: produc1168037607od_b_b,SV107: set_Product_prod_b_b] :
( ( ( ! [SY449: product_prod_b_b] :
( ~ ( member1285940496od_b_b @ SY449 @ SV107 )
| ( SV38
!= ( produc546497367od_b_b @ SY449 @ SY449 ) ) ) )
= $false )
| ( ( member1652792080od_b_b @ SV38 @ ( id_on_2019020932od_b_b @ SV107 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[869]) ).
thf(946,plain,
! [SV152: product_prod_b_b,SV108: set_Product_prod_b_b,SV39: product_prod_b_b] :
( ( ( ~ ~ ( member1285940496od_b_b @ SV39 @ SV108 )
| ( SV39 = SV152 ) )
= $false )
| ( ( member1285940496od_b_b @ SV39 @ ( insert1952693431od_b_b @ SV152 @ SV108 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[870]) ).
thf(947,plain,
! [SV185: product_prod_b_b,SV153: product_prod_b_b,SV109: set_Pr2007082183od_b_b,SV40: set_Product_prod_b_b] :
( ( ( ~ ( refl_o2134473190od_b_b @ SV40 @ SV109 ) )
= $true )
| ( ( ~ ( member1652792080od_b_b @ ( produc546497367od_b_b @ SV153 @ SV185 ) @ SV109 )
| ( member1285940496od_b_b @ SV153 @ SV40 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[871]) ).
thf(948,plain,
! [SV154: set_Product_prod_b_b,SV110: product_prod_b_b,SV41: product_prod_b_b] :
( ( ( member1285940496od_b_b @ SV41 @ ( insert1952693431od_b_b @ SV110 @ SV154 ) )
= $false )
| ( ( ~ ( ( SV41 != SV110 ) )
| ( member1285940496od_b_b @ SV41 @ SV154 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[872]) ).
thf(949,plain,
! [SV155: b,SV111: b,SV42: set_Product_prod_b_b] :
( ( ( sym_b @ SV42 )
= $false )
| ( ( ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SV111 @ SV155 ) @ SV42 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SV155 @ SV111 ) @ SV42 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[873]) ).
thf(950,plain,
! [SV186: a,SV156: b,SV112: b,SV43: labeled_graph_a_b] :
( ( ( SV43
!= ( restrict_a_b @ SV43 ) )
= $true )
| ( ( ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SV112 @ SV156 ) @ ( getRel_a_b @ SV186 @ SV43 ) )
| ( member_b @ SV112 @ ( labeled_vertices_a_b @ SV43 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[874]) ).
thf(951,plain,
! [SV44: set_Product_prod_b_b] :
( ( ( ~ ! [SY329: product_prod_b_b] :
~ ( member1285940496od_b_b @ SY329 @ SV44 ) )
= $false )
| ( ( ~ ( ~ ~ ! [SY329: product_prod_b_b] :
~ ( member1285940496od_b_b @ SY329 @ SV44 )
| ~ ( ( SV44 != bot_bo1343651123od_b_b ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[875]) ).
thf(952,plain,
! [SV44: set_Product_prod_b_b] :
( ( ( SV44 != bot_bo1343651123od_b_b )
= $false )
| ( ( ~ ( ~ ~ ! [SY329: product_prod_b_b] :
~ ( member1285940496od_b_b @ SY329 @ SV44 )
| ~ ( ( SV44 != bot_bo1343651123od_b_b ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[875]) ).
thf(953,plain,
! [SV157: set_Product_prod_b_b,SV113: product_prod_b_b,SV45: product_prod_b_b] :
( ( ( SV45 = SV113 )
= $false )
| ( ( ~ ( member1285940496od_b_b @ SV45 @ SV157 )
| ( member1652792080od_b_b @ ( produc546497367od_b_b @ SV45 @ SV113 ) @ ( id_on_2019020932od_b_b @ SV157 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[876]) ).
thf(954,plain,
! [SV187: set_Product_prod_b_b,SV114: set_b] :
( ( ~ ( ( total_on_b @ SV114 @ SV187 )
| ! [SY531: b] :
( ~ ( member_b @ SY531 @ SV114 )
| ! [SY532: b] :
( ~ ( member_b @ SY532 @ SV114 )
| ~ ( ( SY531 != SY532 ) )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SY531 @ SY532 ) @ SV187 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SY532 @ SY531 ) @ SV187 ) ) ) )
| ~ ( ~ ( total_on_b @ SV114 @ SV187 )
| ~ ! [SY531: b] :
( ~ ( member_b @ SY531 @ SV114 )
| ! [SY532: b] :
( ~ ( member_b @ SY532 @ SV114 )
| ~ ( ( SY531 != SY532 ) )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SY531 @ SY532 ) @ SV187 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SY532 @ SY531 ) @ SV187 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[877]) ).
thf(955,plain,
! [SV187: set_Product_prod_b_b,SV114: set_b] :
( ( ( total_on_b @ SV114 @ SV187 )
= ( ! [SY531: b] :
( ~ ( member_b @ SY531 @ SV114 )
| ! [SY532: b] :
( ~ ( member_b @ SY532 @ SV114 )
| ~ ( ( SY531 != SY532 ) )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SY531 @ SY532 ) @ SV187 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SY532 @ SY531 ) @ SV187 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[877]) ).
thf(956,plain,
! [SV159: product_prod_b_b,SV115: set_Product_prod_b_b,SV47: set_Product_prod_b_b] :
( ( ( ord_le1036320359od_b_b @ SV47 @ SV115 )
= $false )
| ( ( ~ ( member1285940496od_b_b @ SV159 @ SV47 )
| ( member1285940496od_b_b @ SV159 @ SV115 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[878]) ).
thf(957,plain,
! [SV48: product_prod_b_b] :
( ( ! [SY513: b] :
( SV48
!= ( product_Pair_b_b @ ( sK3_SY337 @ SV48 ) @ SY513 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[879]) ).
thf(958,plain,
! [SV188: a,SV160: b,SV116: b,SV49: labeled_graph_a_b] :
( ( ( SV49
!= ( restrict_a_b @ SV49 ) )
= $true )
| ( ( ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SV116 @ SV160 ) @ ( getRel_a_b @ SV188 @ SV49 ) )
| ( member_b @ SV160 @ ( labeled_vertices_a_b @ SV49 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[880]) ).
thf(959,plain,
! [SV189: b,SV161: b,SV117: b,SV50: b] :
( ( ( ( product_Pair_b_b @ SV50 @ SV117 )
!= ( product_Pair_b_b @ SV161 @ SV189 ) )
= $true )
| ( ( ~ ( ( SV50 != SV161 )
| ( SV117 != SV189 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[881]) ).
thf(960,plain,
! [SV162: set_Product_prod_b_b,SV118: set_Product_prod_b_b,SV51: product_prod_b_b] :
( ( ( ~ ( member1285940496od_b_b @ SV51 @ SV118 ) )
= $false )
| ( ( ( ord_le1036320359od_b_b @ SV118 @ ( insert1952693431od_b_b @ SV51 @ SV162 ) )
= ( ord_le1036320359od_b_b @ SV118 @ SV162 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[882]) ).
thf(961,plain,
( ( ~ ( refl_on_b @ ( labeled_vertices_a_b @ g ) @ ( getRel_a_b @ i @ g ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[883]) ).
thf(962,plain,
( ( ~ ! [SX0: b,SX1: b] :
( ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SX0 @ SX1 ) @ ( getRel_a_b @ i @ g ) )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SX1 @ SX0 ) @ ( getRel_a_b @ i @ g ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[883]) ).
thf(963,plain,
! [SV163: product_prod_b_b,SV119: set_Pr2007082183od_b_b,SV52: set_Product_prod_b_b] :
( ( ( refl_o2134473190od_b_b @ SV52 @ SV119 )
= $false )
| ( ( ~ ( member1285940496od_b_b @ SV163 @ SV52 )
| ( member1652792080od_b_b @ ( produc546497367od_b_b @ SV163 @ SV163 ) @ SV119 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[884]) ).
thf(964,plain,
! [SV53: set_Product_prod_b_b] :
( ( ( ! [SY545: b] :
( ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ ( sK7_SY349 @ SV53 ) @ ( sK19_SY533 @ SV53 ) ) @ SV53 )
| ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ ( sK19_SY533 @ SV53 ) @ SY545 ) @ SV53 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ ( sK7_SY349 @ SV53 ) @ SY545 ) @ SV53 ) ) )
= $false )
| ( ( trans_b @ SV53 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[885]) ).
thf(965,plain,
! [SV54: set_Product_prod_b_b,SV120: set_Pr2007082183od_b_b] :
( ( ( ! [SY546: product_prod_b_b] :
( ~ ( member1285940496od_b_b @ ( sK20_SY468 @ SV120 @ SV54 ) @ SV54 )
| ~ ( member1285940496od_b_b @ SY546 @ SV54 )
| ~ ( ( ( sK20_SY468 @ SV120 @ SV54 )
!= SY546 ) )
| ( member1652792080od_b_b @ ( produc546497367od_b_b @ ( sK20_SY468 @ SV120 @ SV54 ) @ SY546 ) @ SV120 )
| ( member1652792080od_b_b @ ( produc546497367od_b_b @ SY546 @ ( sK20_SY468 @ SV120 @ SV54 ) ) @ SV120 ) ) )
= $false )
| ( ( total_178717291od_b_b @ SV54 @ SV120 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[886]) ).
thf(966,plain,
! [SV122: produc1168037607od_b_b,SV56: produc1168037607od_b_b > $o] :
( ( ( ! [SY547: b,SY548: b] : ( SV56 @ ( produc546497367od_b_b @ ( sK21_SY357 @ SV122 @ SV56 ) @ ( product_Pair_b_b @ SY547 @ SY548 ) ) ) )
= $false )
| ( ( SV56 @ SV122 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[888]) ).
thf(967,plain,
! [SV164: set_b,SV123: b,SV57: b] :
( ( ( ~ ( ( member1285940496od_b_b @ ( product_Pair_b_b @ SV57 @ SV123 ) @ ( id_on_b @ SV164 ) )
| ~ ( ( SV57 != SV123 )
| ~ ( member_b @ SV57 @ SV164 ) ) ) )
= $true )
| ( ( ~ ( ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SV57 @ SV123 ) @ ( id_on_b @ SV164 ) )
| ~ ~ ( ( SV57 != SV123 )
| ~ ( member_b @ SV57 @ SV164 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[889]) ).
thf(968,plain,
! [SV198: b > set_Product_prod_b_b,SV190: b,SV165: b,SV124: b,SV58: b > $o] :
( ( ~ ( SV58 @ SV124 )
| ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SV165 @ SV190 ) @ ( SV198 @ SV124 ) )
| ( member1652792080od_b_b @ ( produc546497367od_b_b @ ( product_Pair_b_b @ SV124 @ SV165 ) @ ( product_Pair_b_b @ SV124 @ SV190 ) ) @ ( same_fst_b_b @ SV58 @ SV198 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[891]) ).
thf(969,plain,
! [SV166: b,SV125: b,SV59: set_Product_prod_b_b] :
( ( ( sym_b @ SV59 )
= $false )
| ( ( ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SV125 @ SV166 ) @ SV59 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SV166 @ SV125 ) @ SV59 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[892]) ).
thf(970,plain,
! [SV167: set_Product_prod_b_b,SV126: product_prod_b_b,SV60: product_prod_b_b] :
( ( ( ~ ( ( member1652792080od_b_b @ ( produc546497367od_b_b @ SV60 @ SV126 ) @ ( id_on_2019020932od_b_b @ SV167 ) )
| ~ ( ( SV60 != SV126 )
| ~ ( member1285940496od_b_b @ SV60 @ SV167 ) ) ) )
= $true )
| ( ( ~ ( ~ ( member1652792080od_b_b @ ( produc546497367od_b_b @ SV60 @ SV126 ) @ ( id_on_2019020932od_b_b @ SV167 ) )
| ~ ~ ( ( SV60 != SV126 )
| ~ ( member1285940496od_b_b @ SV60 @ SV167 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[893]) ).
thf(971,plain,
! [SV191: b,SV168: b,SV127: set_Product_prod_b_b,SV61: set_b] :
( ( ( ~ ( refl_on_b @ SV61 @ SV127 ) )
= $true )
| ( ( ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SV168 @ SV191 ) @ SV127 )
| ( member_b @ SV191 @ SV61 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[895]) ).
thf(972,plain,
! [SV62: set_Product_prod_b_b] :
( ( ( ~ ! [SY373: product_prod_b_b,SY374: product_prod_b_b] :
( ~ ( member1285940496od_b_b @ SY373 @ SV62 )
| ~ ( member1285940496od_b_b @ SY374 @ SV62 )
| ( SY373 = SY374 ) ) )
= $true )
| ( ( is_sin1713057243od_b_b @ SV62 )
= $true )
| ( ( SV62 = bot_bo1343651123od_b_b )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[896]) ).
thf(973,plain,
! [SV63: set_Product_prod_b_b] :
( ( ( member1285940496od_b_b @ ( sK8_SY375 @ SV63 ) @ SV63 )
= $true )
| ( ( SV63 = bot_bo1343651123od_b_b )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[897]) ).
thf(974,plain,
! [SV64: set_Product_prod_b_b] :
( ( ( member1285940496od_b_b @ ( sK9_SY376 @ SV64 ) @ SV64 )
= $true )
| ( ( ord_le1036320359od_b_b @ SV64 @ bot_bo1343651123od_b_b )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[898]) ).
thf(975,plain,
! [SV65: produc1133639312od_b_b] :
( ( SV65
!= ( produc2135284224od_b_b @ ( sK4_SY377 @ SV65 ) @ ( product_Pair_b_b @ ( sK10_SY519 @ SV65 ) @ ( sK22_SY536 @ SV65 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[899]) ).
thf(976,plain,
! [SV169: set_b,SV128: b,SV66: b] :
( ( ( SV66 = SV128 )
= $false )
| ( ( ~ ( member_b @ SV66 @ SV169 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SV66 @ SV128 ) @ ( id_on_b @ SV169 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[900]) ).
thf(977,plain,
! [SV67: set_Product_prod_b_b] :
( ( ( ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ ( sK11_SY382 @ SV67 ) @ ( sK23_SY537 @ SV67 ) ) @ SV67 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ ( sK23_SY537 @ SV67 ) @ ( sK11_SY382 @ SV67 ) ) @ SV67 ) )
= $false )
| ( ( sym_b @ SV67 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[901]) ).
thf(978,plain,
! [SV192: b,SV170: b,SV129: set_Product_prod_b_b,SV68: set_b] :
( ( ( ~ ( refl_on_b @ SV68 @ SV129 ) )
= $true )
| ( ( ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SV170 @ SV192 ) @ SV129 )
| ~ ( ~ ( member_b @ SV170 @ SV68 )
| ~ ( member_b @ SV192 @ SV68 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[902]) ).
thf(979,plain,
! [SV193: b,SV171: set_Product_prod_b_b,SV130: b,SV69: b] :
( ( ( ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SV69 @ SV130 ) @ SV171 ) )
= $true )
| ( ( ( SV193 != SV130 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SV69 @ SV193 ) @ SV171 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[903]) ).
thf(980,plain,
! [SV194: set_Product_prod_b_b,SV172: product_prod_b_b,SV131: set_Product_prod_b_b,SV70: product_prod_b_b] :
( ( ( ~ ~ ( member1285940496od_b_b @ SV70 @ SV131 ) )
= $true )
| ( ( ~ ~ ( member1285940496od_b_b @ SV172 @ SV194 )
| ( ( ( insert1952693431od_b_b @ SV70 @ SV131 )
= ( insert1952693431od_b_b @ SV172 @ SV194 ) )
= ( ~ ( ~ ( ( SV70 != SV172 )
| ( SV131 = SV194 ) )
| ~ ( ~ ( ( SV70 != SV172 ) )
| ~ ! [SY538: set_Product_prod_b_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV131
!= ( insert1952693431od_b_b @ SV172 @ SY538 ) )
| ~ ~ ( member1285940496od_b_b @ SV172 @ SY538 ) )
| ( SV194
!= ( insert1952693431od_b_b @ SV70 @ SY538 ) ) )
| ~ ~ ( member1285940496od_b_b @ SV70 @ SY538 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[904]) ).
thf(981,plain,
! [SV173: set_Product_prod_b_b,SV132: set_Product_prod_b_b,SV71: product_prod_b_b] :
( ( ( ~ ( member1285940496od_b_b @ SV71 @ SV132 ) )
= $false )
| ( ( ~ ~ ( member1285940496od_b_b @ SV71 @ SV173 )
| ( ( ( insert1952693431od_b_b @ SV71 @ SV132 )
= ( insert1952693431od_b_b @ SV71 @ SV173 ) )
= ( SV132 = SV173 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[905]) ).
thf(982,plain,
! [SV72: set_Product_prod_b_b,SV133: product_prod_b_b] :
( ( ( member1285940496od_b_b @ SV133 @ SV72 )
= $false )
| ( ( SV72 = bot_bo1343651123od_b_b )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[906]) ).
thf(983,plain,
! [SV195: product_prod_b_b,SV174: product_prod_b_b,SV134: set_Pr2007082183od_b_b,SV73: set_Product_prod_b_b] :
( ( ( ~ ( refl_o2134473190od_b_b @ SV73 @ SV134 ) )
= $true )
| ( ( ~ ( member1652792080od_b_b @ ( produc546497367od_b_b @ SV174 @ SV195 ) @ SV134 )
| ~ ( ~ ( member1285940496od_b_b @ SV174 @ SV73 )
| ~ ( member1285940496od_b_b @ SV195 @ SV73 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[907]) ).
thf(984,plain,
! [SV175: set_Product_prod_b_b,SV135: set_Product_prod_b_b,SV74: product_prod_b_b] :
( ( ( member1285940496od_b_b @ SV74 @ SV135 )
= $false )
| ( ( ~ ( ord_le1036320359od_b_b @ SV175 @ SV135 )
| ( ord_le1036320359od_b_b @ ( insert1952693431od_b_b @ SV74 @ SV175 ) @ SV135 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[908]) ).
thf(985,plain,
! [SV75: product_prod_b_b,SV136: set_Product_prod_b_b] :
( ( ( ! [SY493: set_Product_prod_b_b] :
~ ~ ( ( SV136
!= ( insert1952693431od_b_b @ SV75 @ SY493 ) )
| ~ ~ ( member1285940496od_b_b @ SV75 @ SY493 ) ) )
= $false )
| ( ( member1285940496od_b_b @ SV75 @ SV136 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[909]) ).
thf(986,plain,
! [SV196: b,SV176: b,SV137: b,SV76: set_Product_prod_b_b] :
( ( ( ~ ( trans_b @ SV76 ) )
= $true )
| ( ( ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SV137 @ SV176 ) @ SV76 )
| ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SV176 @ SV196 ) @ SV76 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SV137 @ SV196 ) @ SV76 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[910]) ).
thf(987,plain,
! [SV77: product_prod_b_b,SV138: set_Product_prod_b_b] :
( ( ( ! [SY496: set_Product_prod_b_b] :
( ( SV138
!= ( insert1952693431od_b_b @ SV77 @ SY496 ) )
| ( member1285940496od_b_b @ SV77 @ SY496 ) ) )
= $false )
| ( ( member1285940496od_b_b @ SV77 @ SV138 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[911]) ).
thf(988,plain,
! [SV78: product_prod_b_b > $o,SV1: product_prod_b_b] :
( ( ( member1285940496od_b_b @ SV1 @ ( collec1481886546od_b_b @ SV78 ) )
= $false )
| ( ( ~ ( ~ ( member1285940496od_b_b @ SV1 @ ( collec1481886546od_b_b @ SV78 ) )
| ~ ( SV78 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[912]) ).
thf(989,plain,
! [SV1: product_prod_b_b,SV78: product_prod_b_b > $o] :
( ( ( SV78 @ SV1 )
= $false )
| ( ( ~ ( ~ ( member1285940496od_b_b @ SV1 @ ( collec1481886546od_b_b @ SV78 ) )
| ~ ( SV78 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[912]) ).
thf(990,plain,
! [SV139: set_Product_prod_b_b,SV79: product_prod_b_b,SV5: product_prod_b_b] :
( ( ( ( member1285940496od_b_b @ SV5 @ ( insert1952693431od_b_b @ SV79 @ SV139 ) )
| ( SV5 = SV79 )
| ( member1285940496od_b_b @ SV5 @ SV139 ) )
= $false )
| ( ( ~ ( ~ ( member1285940496od_b_b @ SV5 @ ( insert1952693431od_b_b @ SV79 @ SV139 ) )
| ~ ( ( SV5 = SV79 )
| ( member1285940496od_b_b @ SV5 @ SV139 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[913]) ).
thf(991,plain,
! [SV7: set_Product_prod_b_b] :
( ( ( ~ ( member1285940496od_b_b @ ( sK24_SY248 @ SV7 ) @ SV7 ) )
= $false )
| ( ( ~ ( ~ ! [SY248: product_prod_b_b] :
~ ( member1285940496od_b_b @ SY248 @ SV7 )
| ( SV7 != bot_bo1343651123od_b_b ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[914]) ).
thf(992,plain,
! [SV7: set_Product_prod_b_b] :
( ( ( ~ ! [SY248: product_prod_b_b] :
~ ( member1285940496od_b_b @ SY248 @ SV7 )
| ( SV7 != bot_bo1343651123od_b_b ) )
= $false )
| ( ( SV7 = bot_bo1343651123od_b_b )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[915]) ).
thf(993,plain,
! [SV81: product_prod_b_b,SV10: product_prod_b_b] :
( ( ( member1285940496od_b_b @ SV10 @ ( insert1952693431od_b_b @ SV81 @ bot_bo1343651123od_b_b ) )
= $false )
| ( ( ~ ( ~ ( member1285940496od_b_b @ SV10 @ ( insert1952693431od_b_b @ SV81 @ bot_bo1343651123od_b_b ) )
| ( SV10 != SV81 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[916]) ).
thf(994,plain,
! [SV81: product_prod_b_b,SV10: product_prod_b_b] :
( ( ( SV10 = SV81 )
= $false )
| ( ( ~ ( ~ ( member1285940496od_b_b @ SV10 @ ( insert1952693431od_b_b @ SV81 @ bot_bo1343651123od_b_b ) )
| ( SV10 != SV81 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[916]) ).
thf(995,plain,
! [SV82: product_prod_b_b] :
( ( ( bot_bo1302443370_b_b_o @ SV82 )
= $false )
| ( ( ~ ( ~ ( bot_bo1302443370_b_b_o @ SV82 )
| ~ ( member1285940496od_b_b @ SV82 @ bot_bo1343651123od_b_b ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[917]) ).
thf(996,plain,
! [SV82: product_prod_b_b] :
( ( ( member1285940496od_b_b @ SV82 @ bot_bo1343651123od_b_b )
= $false )
| ( ( ~ ( ~ ( bot_bo1302443370_b_b_o @ SV82 )
| ~ ( member1285940496od_b_b @ SV82 @ bot_bo1343651123od_b_b ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[917]) ).
thf(997,plain,
! [SV83: set_Product_prod_b_b,SV12: set_b,SV140: b] :
( ( ( ~ ( member_b @ SV140 @ SV12 ) )
= $true )
| ( ( member1285940496od_b_b @ ( product_Pair_b_b @ SV140 @ SV140 ) @ SV83 )
= $true )
| ( ( refl_on_b @ SV12 @ SV83 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[918]) ).
thf(998,plain,
! [SV85: set_b,SV14: product_prod_b_b] :
( ( ( ~ ( member_b @ ( sK25_SY411 @ SV14 @ SV85 ) @ SV85 )
| ( SV14
!= ( product_Pair_b_b @ ( sK25_SY411 @ SV14 @ SV85 ) @ ( sK25_SY411 @ SV14 @ SV85 ) ) ) )
= $false )
| ( ( member1285940496od_b_b @ SV14 @ ( id_on_b @ SV85 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[919]) ).
thf(999,plain,
! [SV177: product_prod_b_b,SV141: product_prod_b_b,SV86: set_Pr2007082183od_b_b,SV16: set_Product_prod_b_b] :
( ( ( refl_o2134473190od_b_b @ SV16 @ SV86 )
= $false )
| ( ( ~ ( member1652792080od_b_b @ ( produc546497367od_b_b @ SV141 @ SV177 ) @ SV86 )
| ( member1285940496od_b_b @ SV177 @ SV16 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[921]) ).
thf(1000,plain,
! [SV178: b,SV142: b,SV87: set_Product_prod_b_b,SV17: set_b] :
( ( ( refl_on_b @ SV17 @ SV87 )
= $false )
| ( ( ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SV142 @ SV178 ) @ SV87 )
| ( member_b @ SV142 @ SV17 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[922]) ).
thf(1001,plain,
! [SV88: set_Product_prod_b_b] :
( ( ( trans_b @ SV88 )
= $false )
| ( ( ~ ( ~ ( trans_b @ SV88 )
| ~ ! [SY416: b,SY417: b,SY418: b] :
( ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SY416 @ SY417 ) @ SV88 )
| ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SY417 @ SY418 ) @ SV88 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SY416 @ SY418 ) @ SV88 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[923]) ).
thf(1002,plain,
! [SV88: set_Product_prod_b_b] :
( ( ( ! [SY416: b,SY417: b,SY418: b] :
( ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SY416 @ SY417 ) @ SV88 )
| ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SY417 @ SY418 ) @ SV88 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SY416 @ SY418 ) @ SV88 ) ) )
= $false )
| ( ( ~ ( ~ ( trans_b @ SV88 )
| ~ ! [SY416: b,SY417: b,SY418: b] :
( ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SY416 @ SY417 ) @ SV88 )
| ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SY417 @ SY418 ) @ SV88 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SY416 @ SY418 ) @ SV88 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[923]) ).
thf(1003,plain,
! [SV89: product_prod_b_b,SV19: product_prod_b_b > $o] :
( ( ( SV19 @ ( product_Pair_b_b @ ( sK12_SY268 @ SV89 @ SV19 ) @ ( sK26_SY539 @ SV89 @ SV19 ) ) )
= $false )
| ( ( SV19 @ SV89 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[924]) ).
thf(1004,plain,
! [SV20: set_b,SV90: set_Product_prod_b_b] :
( ( ( ~ ( member_b @ ( sK13_SY421 @ SV90 @ SV20 ) @ SV20 )
| ~ ( member_b @ ( sK27_SY540 @ SV20 @ SV90 ) @ SV20 )
| ~ ( ( ( sK13_SY421 @ SV90 @ SV20 )
!= ( sK27_SY540 @ SV20 @ SV90 ) ) )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ ( sK13_SY421 @ SV90 @ SV20 ) @ ( sK27_SY540 @ SV20 @ SV90 ) ) @ SV90 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ ( sK27_SY540 @ SV20 @ SV90 ) @ ( sK13_SY421 @ SV90 @ SV20 ) ) @ SV90 ) )
= $false )
| ( ( total_on_b @ SV20 @ SV90 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[925]) ).
thf(1005,plain,
! [SV91: product_prod_b_b,SV21: product_prod_b_b > $o] :
( ( ( SV21 @ ( product_Pair_b_b @ ( sK14_SY274 @ SV91 @ SV21 ) @ ( sK28_SY541 @ SV91 @ SV21 ) ) )
= $false )
| ( ( SV21 @ SV91 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[926]) ).
thf(1006,plain,
! [SV22: set_Product_prod_b_b,SV92: set_Product_prod_b_b] :
( ( ( ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ ( sK15_SY425 @ SV92 @ SV22 ) @ ( sK29_SY542 @ SV22 @ SV92 ) ) @ SV22 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ ( sK15_SY425 @ SV92 @ SV22 ) @ ( sK29_SY542 @ SV22 @ SV92 ) ) @ SV92 ) )
= $false )
| ( ( ord_le1036320359od_b_b @ SV22 @ SV92 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[927]) ).
thf(1007,plain,
! [SV143: set_Product_prod_b_b,SV93: set_Product_prod_b_b,SV23: product_prod_b_b] :
( ( ( ( ord_le1036320359od_b_b @ ( insert1952693431od_b_b @ SV23 @ SV93 ) @ SV143 )
| ~ ( ~ ( member1285940496od_b_b @ SV23 @ SV143 )
| ~ ( ord_le1036320359od_b_b @ SV93 @ SV143 ) ) )
= $false )
| ( ( ~ ( ~ ( ord_le1036320359od_b_b @ ( insert1952693431od_b_b @ SV23 @ SV93 ) @ SV143 )
| ~ ~ ( ~ ( member1285940496od_b_b @ SV23 @ SV143 )
| ~ ( ord_le1036320359od_b_b @ SV93 @ SV143 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[928]) ).
thf(1008,plain,
! [SV179: b,SV144: b,SV94: b,SV24: b] :
( ( ( ~ ( ( ( product_Pair_b_b @ SV24 @ SV94 )
= ( product_Pair_b_b @ SV144 @ SV179 ) )
| ~ ( ( SV24 != SV144 )
| ( SV94 != SV179 ) ) ) )
= $true )
| ( ( ~ ( ( ( product_Pair_b_b @ SV24 @ SV94 )
!= ( product_Pair_b_b @ SV144 @ SV179 ) )
| ~ ~ ( ( SV24 != SV144 )
| ( SV94 != SV179 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[929]) ).
thf(1009,plain,
! [SV197: labeled_graph_a_b,SV180: labeled_graph_a_b,SV145: a,SV95: b,SV25: b] :
( ( ( ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SV25 @ SV95 ) @ ( getRel_a_b @ SV145 @ SV180 ) ) )
= $true )
| ( ( ~ ( graph_1322245399_a_b_b @ SV180 @ SV197 @ ( id_on_b @ ( labeled_vertices_a_b @ SV180 ) ) )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SV25 @ SV95 ) @ ( getRel_a_b @ SV145 @ SV197 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[931]) ).
thf(1010,plain,
! [SV97: set_Product_prod_b_b,SV27: set_Product_prod_b_b,SV147: product_prod_b_b] :
( ( ( ~ ( member1285940496od_b_b @ SV147 @ SV27 ) )
= $true )
| ( ( member1285940496od_b_b @ SV147 @ SV97 )
= $true )
| ( ( ord_le1036320359od_b_b @ SV27 @ SV97 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[933]) ).
thf(1011,plain,
! [SV29: produc1168037607od_b_b] :
( ( SV29
= ( produc546497367od_b_b @ ( sK2_SY293 @ SV29 ) @ ( product_Pair_b_b @ ( sK6_SY503 @ SV29 ) @ ( sK16_SY528 @ SV29 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[934]) ).
thf(1012,plain,
! [SV181: b,SV148: b,SV99: b,SV30: set_Product_prod_b_b] :
( ( ( trans_b @ SV30 )
= $false )
| ( ( ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SV99 @ SV148 ) @ SV30 )
| ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SV148 @ SV181 ) @ SV30 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SV99 @ SV181 ) @ SV30 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[935]) ).
thf(1013,plain,
! [SV182: b,SV149: b,SV100: b,SV31: b] :
( ( ( ~ ( ( ( product_Pair_b_b @ SV31 @ SV100 )
= ( product_Pair_b_b @ SV149 @ SV182 ) )
| ~ ( ( SV31 != SV149 )
| ( SV100 != SV182 ) ) ) )
= $true )
| ( ( ~ ( ( ( product_Pair_b_b @ SV31 @ SV100 )
!= ( product_Pair_b_b @ SV149 @ SV182 ) )
| ~ ~ ( ( SV31 != SV149 )
| ( SV100 != SV182 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[936]) ).
thf(1014,plain,
! [SV32: set_Product_prod_b_b,SV101: set_Product_prod_b_b] :
( ( ( ~ ( member1285940496od_b_b @ ( sK17_SY439 @ SV101 @ SV32 ) @ SV32 ) )
= $false )
| ( ( ord_le1036320359od_b_b @ SV32 @ SV101 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[938]) ).
thf(1015,plain,
! [SV32: set_Product_prod_b_b,SV101: set_Product_prod_b_b] :
( ( ( member1285940496od_b_b @ ( sK17_SY439 @ SV101 @ SV32 ) @ SV101 )
= $false )
| ( ( ord_le1036320359od_b_b @ SV32 @ SV101 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[938]) ).
thf(1016,plain,
! [SV102: set_Product_prod_b_b] :
( ( ( sym_b @ SV102 )
= $false )
| ( ( ~ ( ~ ( sym_b @ SV102 )
| ~ ! [SY440: b,SY441: b] :
( ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SY440 @ SY441 ) @ SV102 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SY441 @ SY440 ) @ SV102 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[939]) ).
thf(1017,plain,
! [SV102: set_Product_prod_b_b] :
( ( ( ! [SY440: b,SY441: b] :
( ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SY440 @ SY441 ) @ SV102 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SY441 @ SY440 ) @ SV102 ) ) )
= $false )
| ( ( ~ ( ~ ( sym_b @ SV102 )
| ~ ! [SY440: b,SY441: b] :
( ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SY440 @ SY441 ) @ SV102 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SY441 @ SY440 ) @ SV102 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[939]) ).
thf(1018,plain,
! [SV103: produc1133639312od_b_b,SV34: produc1133639312od_b_b > $o] :
( ( ( ! [SY549: b] : ( SV34 @ ( produc2135284224od_b_b @ ( sK18_SY307 @ SV103 @ SV34 ) @ ( product_Pair_b_b @ ( sK30_SY543 @ SV103 @ SV34 ) @ SY549 ) ) ) )
= $false )
| ( ( SV34 @ SV103 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[940]) ).
thf(1019,plain,
! [SV183: set_Product_prod_b_b,SV104: set_Product_prod_b_b] :
( ( ( ~ ( ( ord_le1036320359od_b_b @ SV104 @ SV183 )
| ! [SY529: product_prod_b_b] :
( ~ ( member1285940496od_b_b @ SY529 @ SV104 )
| ( member1285940496od_b_b @ SY529 @ SV183 ) ) ) )
= $true )
| ( ( ~ ( ~ ( ord_le1036320359od_b_b @ SV104 @ SV183 )
| ~ ! [SY529: product_prod_b_b] :
( ~ ( member1285940496od_b_b @ SY529 @ SV104 )
| ( member1285940496od_b_b @ SY529 @ SV183 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[941]) ).
thf(1020,plain,
! [SV184: set_Product_prod_b_b,SV105: set_Product_prod_b_b] :
( ( ( ~ ( ( ord_le1036320359od_b_b @ SV105 @ SV184 )
| ! [SY530: product_prod_b_b] :
( ~ ( member1285940496od_b_b @ SY530 @ SV105 )
| ( member1285940496od_b_b @ SY530 @ SV184 ) ) ) )
= $true )
| ( ( ~ ( ~ ( ord_le1036320359od_b_b @ SV105 @ SV184 )
| ~ ! [SY530: product_prod_b_b] :
( ~ ( member1285940496od_b_b @ SY530 @ SV105 )
| ( member1285940496od_b_b @ SY530 @ SV184 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[943]) ).
thf(1021,plain,
! [SV107: set_Product_prod_b_b,SV38: produc1168037607od_b_b] :
( ( ( ~ ( member1285940496od_b_b @ ( sK31_SY449 @ SV38 @ SV107 ) @ SV107 )
| ( SV38
!= ( produc546497367od_b_b @ ( sK31_SY449 @ SV38 @ SV107 ) @ ( sK31_SY449 @ SV38 @ SV107 ) ) ) )
= $false )
| ( ( member1652792080od_b_b @ SV38 @ ( id_on_2019020932od_b_b @ SV107 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[945]) ).
thf(1022,plain,
! [SV152: product_prod_b_b,SV108: set_Product_prod_b_b,SV39: product_prod_b_b] :
( ( ( ~ ~ ( member1285940496od_b_b @ SV39 @ SV108 ) )
= $false )
| ( ( member1285940496od_b_b @ SV39 @ ( insert1952693431od_b_b @ SV152 @ SV108 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[946]) ).
thf(1023,plain,
! [SV108: set_Product_prod_b_b,SV152: product_prod_b_b,SV39: product_prod_b_b] :
( ( ( SV39 = SV152 )
= $false )
| ( ( member1285940496od_b_b @ SV39 @ ( insert1952693431od_b_b @ SV152 @ SV108 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[946]) ).
thf(1024,plain,
! [SV185: product_prod_b_b,SV153: product_prod_b_b,SV109: set_Pr2007082183od_b_b,SV40: set_Product_prod_b_b] :
( ( ( refl_o2134473190od_b_b @ SV40 @ SV109 )
= $false )
| ( ( ~ ( member1652792080od_b_b @ ( produc546497367od_b_b @ SV153 @ SV185 ) @ SV109 )
| ( member1285940496od_b_b @ SV153 @ SV40 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[947]) ).
thf(1025,plain,
! [SV154: set_Product_prod_b_b,SV110: product_prod_b_b,SV41: product_prod_b_b] :
( ( ( ~ ( ( SV41 != SV110 ) ) )
= $true )
| ( ( member1285940496od_b_b @ SV41 @ SV154 )
= $true )
| ( ( member1285940496od_b_b @ SV41 @ ( insert1952693431od_b_b @ SV110 @ SV154 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[948]) ).
thf(1026,plain,
! [SV42: set_Product_prod_b_b,SV155: b,SV111: b] :
( ( ( ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SV111 @ SV155 ) @ SV42 ) )
= $true )
| ( ( member1285940496od_b_b @ ( product_Pair_b_b @ SV155 @ SV111 ) @ SV42 )
= $true )
| ( ( sym_b @ SV42 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[949]) ).
thf(1027,plain,
! [SV186: a,SV156: b,SV112: b,SV43: labeled_graph_a_b] :
( ( ( SV43
= ( restrict_a_b @ SV43 ) )
= $false )
| ( ( ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SV112 @ SV156 ) @ ( getRel_a_b @ SV186 @ SV43 ) )
| ( member_b @ SV112 @ ( labeled_vertices_a_b @ SV43 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[950]) ).
thf(1028,plain,
! [SV44: set_Product_prod_b_b] :
( ( ( ! [SY329: product_prod_b_b] :
~ ( member1285940496od_b_b @ SY329 @ SV44 ) )
= $true )
| ( ( ~ ( ~ ~ ! [SY329: product_prod_b_b] :
~ ( member1285940496od_b_b @ SY329 @ SV44 )
| ~ ( ( SV44 != bot_bo1343651123od_b_b ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[951]) ).
thf(1029,plain,
! [SV44: set_Product_prod_b_b] :
( ( ( SV44 = bot_bo1343651123od_b_b )
= $true )
| ( ( ~ ( ~ ~ ! [SY329: product_prod_b_b] :
~ ( member1285940496od_b_b @ SY329 @ SV44 )
| ~ ( ( SV44 != bot_bo1343651123od_b_b ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[952]) ).
thf(1030,plain,
! [SV113: product_prod_b_b,SV157: set_Product_prod_b_b,SV45: product_prod_b_b] :
( ( ( ~ ( member1285940496od_b_b @ SV45 @ SV157 ) )
= $true )
| ( ( member1652792080od_b_b @ ( produc546497367od_b_b @ SV45 @ SV113 ) @ ( id_on_2019020932od_b_b @ SV157 ) )
= $true )
| ( ( SV45 = SV113 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[953]) ).
thf(1031,plain,
! [SV187: set_Product_prod_b_b,SV114: set_b] :
( ( ( ~ ( ( total_on_b @ SV114 @ SV187 )
| ! [SY531: b] :
( ~ ( member_b @ SY531 @ SV114 )
| ! [SY532: b] :
( ~ ( member_b @ SY532 @ SV114 )
| ~ ( ( SY531 != SY532 ) )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SY531 @ SY532 ) @ SV187 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SY532 @ SY531 ) @ SV187 ) ) ) ) )
= $true )
| ( ( ~ ( ~ ( total_on_b @ SV114 @ SV187 )
| ~ ! [SY531: b] :
( ~ ( member_b @ SY531 @ SV114 )
| ! [SY532: b] :
( ~ ( member_b @ SY532 @ SV114 )
| ~ ( ( SY531 != SY532 ) )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SY531 @ SY532 ) @ SV187 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SY532 @ SY531 ) @ SV187 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[954]) ).
thf(1032,plain,
! [SV115: set_Product_prod_b_b,SV47: set_Product_prod_b_b,SV159: product_prod_b_b] :
( ( ( ~ ( member1285940496od_b_b @ SV159 @ SV47 ) )
= $true )
| ( ( member1285940496od_b_b @ SV159 @ SV115 )
= $true )
| ( ( ord_le1036320359od_b_b @ SV47 @ SV115 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[956]) ).
thf(1033,plain,
! [SV48: product_prod_b_b] :
( ( SV48
!= ( product_Pair_b_b @ ( sK3_SY337 @ SV48 ) @ ( sK32_SY513 @ SV48 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[957]) ).
thf(1034,plain,
! [SV188: a,SV160: b,SV116: b,SV49: labeled_graph_a_b] :
( ( ( SV49
= ( restrict_a_b @ SV49 ) )
= $false )
| ( ( ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SV116 @ SV160 ) @ ( getRel_a_b @ SV188 @ SV49 ) )
| ( member_b @ SV160 @ ( labeled_vertices_a_b @ SV49 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[958]) ).
thf(1035,plain,
! [SV189: b,SV161: b,SV117: b,SV50: b] :
( ( ( ( product_Pair_b_b @ SV50 @ SV117 )
= ( product_Pair_b_b @ SV161 @ SV189 ) )
= $false )
| ( ( ~ ( ( SV50 != SV161 )
| ( SV117 != SV189 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[959]) ).
thf(1036,plain,
! [SV162: set_Product_prod_b_b,SV118: set_Product_prod_b_b,SV51: product_prod_b_b] :
( ( ( member1285940496od_b_b @ SV51 @ SV118 )
= $true )
| ( ( ( ord_le1036320359od_b_b @ SV118 @ ( insert1952693431od_b_b @ SV51 @ SV162 ) )
= ( ord_le1036320359od_b_b @ SV118 @ SV162 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[960]) ).
thf(1037,plain,
( ( refl_on_b @ ( labeled_vertices_a_b @ g ) @ ( getRel_a_b @ i @ g ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[961]) ).
thf(1038,plain,
( ( ! [SX0: b,SX1: b] :
( ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SX0 @ SX1 ) @ ( getRel_a_b @ i @ g ) )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SX1 @ SX0 ) @ ( getRel_a_b @ i @ g ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[962]) ).
thf(1039,plain,
! [SV119: set_Pr2007082183od_b_b,SV52: set_Product_prod_b_b,SV163: product_prod_b_b] :
( ( ( ~ ( member1285940496od_b_b @ SV163 @ SV52 ) )
= $true )
| ( ( member1652792080od_b_b @ ( produc546497367od_b_b @ SV163 @ SV163 ) @ SV119 )
= $true )
| ( ( refl_o2134473190od_b_b @ SV52 @ SV119 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[963]) ).
thf(1040,plain,
! [SV53: set_Product_prod_b_b] :
( ( ( ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ ( sK7_SY349 @ SV53 ) @ ( sK19_SY533 @ SV53 ) ) @ SV53 )
| ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ ( sK19_SY533 @ SV53 ) @ ( sK33_SY545 @ SV53 ) ) @ SV53 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ ( sK7_SY349 @ SV53 ) @ ( sK33_SY545 @ SV53 ) ) @ SV53 ) )
= $false )
| ( ( trans_b @ SV53 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[964]) ).
thf(1041,plain,
! [SV54: set_Product_prod_b_b,SV120: set_Pr2007082183od_b_b] :
( ( ( ~ ( member1285940496od_b_b @ ( sK20_SY468 @ SV120 @ SV54 ) @ SV54 )
| ~ ( member1285940496od_b_b @ ( sK34_SY546 @ SV54 @ SV120 ) @ SV54 )
| ~ ( ( ( sK20_SY468 @ SV120 @ SV54 )
!= ( sK34_SY546 @ SV54 @ SV120 ) ) )
| ( member1652792080od_b_b @ ( produc546497367od_b_b @ ( sK20_SY468 @ SV120 @ SV54 ) @ ( sK34_SY546 @ SV54 @ SV120 ) ) @ SV120 )
| ( member1652792080od_b_b @ ( produc546497367od_b_b @ ( sK34_SY546 @ SV54 @ SV120 ) @ ( sK20_SY468 @ SV120 @ SV54 ) ) @ SV120 ) )
= $false )
| ( ( total_178717291od_b_b @ SV54 @ SV120 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[965]) ).
thf(1042,plain,
! [SV122: produc1168037607od_b_b,SV56: produc1168037607od_b_b > $o] :
( ( ( ! [SY550: b] : ( SV56 @ ( produc546497367od_b_b @ ( sK21_SY357 @ SV122 @ SV56 ) @ ( product_Pair_b_b @ ( sK35_SY547 @ SV122 @ SV56 ) @ SY550 ) ) ) )
= $false )
| ( ( SV56 @ SV122 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[966]) ).
thf(1043,plain,
! [SV164: set_b,SV123: b,SV57: b] :
( ( ( ( member1285940496od_b_b @ ( product_Pair_b_b @ SV57 @ SV123 ) @ ( id_on_b @ SV164 ) )
| ~ ( ( SV57 != SV123 )
| ~ ( member_b @ SV57 @ SV164 ) ) )
= $false )
| ( ( ~ ( ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SV57 @ SV123 ) @ ( id_on_b @ SV164 ) )
| ~ ~ ( ( SV57 != SV123 )
| ~ ( member_b @ SV57 @ SV164 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[967]) ).
thf(1044,plain,
! [SV198: b > set_Product_prod_b_b,SV190: b,SV165: b,SV124: b,SV58: b > $o] :
( ( ( ~ ( SV58 @ SV124 ) )
= $true )
| ( ( ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SV165 @ SV190 ) @ ( SV198 @ SV124 ) )
| ( member1652792080od_b_b @ ( produc546497367od_b_b @ ( product_Pair_b_b @ SV124 @ SV165 ) @ ( product_Pair_b_b @ SV124 @ SV190 ) ) @ ( same_fst_b_b @ SV58 @ SV198 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[968]) ).
thf(1045,plain,
! [SV59: set_Product_prod_b_b,SV166: b,SV125: b] :
( ( ( ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SV125 @ SV166 ) @ SV59 ) )
= $true )
| ( ( member1285940496od_b_b @ ( product_Pair_b_b @ SV166 @ SV125 ) @ SV59 )
= $true )
| ( ( sym_b @ SV59 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[969]) ).
thf(1046,plain,
! [SV167: set_Product_prod_b_b,SV126: product_prod_b_b,SV60: product_prod_b_b] :
( ( ( ( member1652792080od_b_b @ ( produc546497367od_b_b @ SV60 @ SV126 ) @ ( id_on_2019020932od_b_b @ SV167 ) )
| ~ ( ( SV60 != SV126 )
| ~ ( member1285940496od_b_b @ SV60 @ SV167 ) ) )
= $false )
| ( ( ~ ( ~ ( member1652792080od_b_b @ ( produc546497367od_b_b @ SV60 @ SV126 ) @ ( id_on_2019020932od_b_b @ SV167 ) )
| ~ ~ ( ( SV60 != SV126 )
| ~ ( member1285940496od_b_b @ SV60 @ SV167 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[970]) ).
thf(1047,plain,
! [SV191: b,SV168: b,SV127: set_Product_prod_b_b,SV61: set_b] :
( ( ( refl_on_b @ SV61 @ SV127 )
= $false )
| ( ( ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SV168 @ SV191 ) @ SV127 )
| ( member_b @ SV191 @ SV61 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[971]) ).
thf(1048,plain,
! [SV62: set_Product_prod_b_b] :
( ( ( ! [SY373: product_prod_b_b,SY374: product_prod_b_b] :
( ~ ( member1285940496od_b_b @ SY373 @ SV62 )
| ~ ( member1285940496od_b_b @ SY374 @ SV62 )
| ( SY373 = SY374 ) ) )
= $false )
| ( ( is_sin1713057243od_b_b @ SV62 )
= $true )
| ( ( SV62 = bot_bo1343651123od_b_b )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[972]) ).
thf(1049,plain,
! [SV65: produc1133639312od_b_b] :
( ( SV65
= ( produc2135284224od_b_b @ ( sK4_SY377 @ SV65 ) @ ( product_Pair_b_b @ ( sK10_SY519 @ SV65 ) @ ( sK22_SY536 @ SV65 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[975]) ).
thf(1050,plain,
! [SV128: b,SV169: set_b,SV66: b] :
( ( ( ~ ( member_b @ SV66 @ SV169 ) )
= $true )
| ( ( member1285940496od_b_b @ ( product_Pair_b_b @ SV66 @ SV128 ) @ ( id_on_b @ SV169 ) )
= $true )
| ( ( SV66 = SV128 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[976]) ).
thf(1051,plain,
! [SV67: set_Product_prod_b_b] :
( ( ( ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ ( sK11_SY382 @ SV67 ) @ ( sK23_SY537 @ SV67 ) ) @ SV67 ) )
= $false )
| ( ( sym_b @ SV67 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[977]) ).
thf(1052,plain,
! [SV67: set_Product_prod_b_b] :
( ( ( member1285940496od_b_b @ ( product_Pair_b_b @ ( sK23_SY537 @ SV67 ) @ ( sK11_SY382 @ SV67 ) ) @ SV67 )
= $false )
| ( ( sym_b @ SV67 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[977]) ).
thf(1053,plain,
! [SV192: b,SV170: b,SV129: set_Product_prod_b_b,SV68: set_b] :
( ( ( refl_on_b @ SV68 @ SV129 )
= $false )
| ( ( ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SV170 @ SV192 ) @ SV129 )
| ~ ( ~ ( member_b @ SV170 @ SV68 )
| ~ ( member_b @ SV192 @ SV68 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[978]) ).
thf(1054,plain,
! [SV193: b,SV171: set_Product_prod_b_b,SV130: b,SV69: b] :
( ( ( member1285940496od_b_b @ ( product_Pair_b_b @ SV69 @ SV130 ) @ SV171 )
= $false )
| ( ( ( SV193 != SV130 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SV69 @ SV193 ) @ SV171 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[979]) ).
thf(1055,plain,
! [SV194: set_Product_prod_b_b,SV172: product_prod_b_b,SV131: set_Product_prod_b_b,SV70: product_prod_b_b] :
( ( ( ~ ( member1285940496od_b_b @ SV70 @ SV131 ) )
= $false )
| ( ( ~ ~ ( member1285940496od_b_b @ SV172 @ SV194 )
| ( ( ( insert1952693431od_b_b @ SV70 @ SV131 )
= ( insert1952693431od_b_b @ SV172 @ SV194 ) )
= ( ~ ( ~ ( ( SV70 != SV172 )
| ( SV131 = SV194 ) )
| ~ ( ~ ( ( SV70 != SV172 ) )
| ~ ! [SY538: set_Product_prod_b_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV131
!= ( insert1952693431od_b_b @ SV172 @ SY538 ) )
| ~ ~ ( member1285940496od_b_b @ SV172 @ SY538 ) )
| ( SV194
!= ( insert1952693431od_b_b @ SV70 @ SY538 ) ) )
| ~ ~ ( member1285940496od_b_b @ SV70 @ SY538 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[980]) ).
thf(1056,plain,
! [SV173: set_Product_prod_b_b,SV132: set_Product_prod_b_b,SV71: product_prod_b_b] :
( ( ( member1285940496od_b_b @ SV71 @ SV132 )
= $true )
| ( ( ~ ~ ( member1285940496od_b_b @ SV71 @ SV173 )
| ( ( ( insert1952693431od_b_b @ SV71 @ SV132 )
= ( insert1952693431od_b_b @ SV71 @ SV173 ) )
= ( SV132 = SV173 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[981]) ).
thf(1057,plain,
! [SV195: product_prod_b_b,SV174: product_prod_b_b,SV134: set_Pr2007082183od_b_b,SV73: set_Product_prod_b_b] :
( ( ( refl_o2134473190od_b_b @ SV73 @ SV134 )
= $false )
| ( ( ~ ( member1652792080od_b_b @ ( produc546497367od_b_b @ SV174 @ SV195 ) @ SV134 )
| ~ ( ~ ( member1285940496od_b_b @ SV174 @ SV73 )
| ~ ( member1285940496od_b_b @ SV195 @ SV73 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[983]) ).
thf(1058,plain,
! [SV74: product_prod_b_b,SV135: set_Product_prod_b_b,SV175: set_Product_prod_b_b] :
( ( ( ~ ( ord_le1036320359od_b_b @ SV175 @ SV135 ) )
= $true )
| ( ( ord_le1036320359od_b_b @ ( insert1952693431od_b_b @ SV74 @ SV175 ) @ SV135 )
= $true )
| ( ( member1285940496od_b_b @ SV74 @ SV135 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[984]) ).
thf(1059,plain,
! [SV75: product_prod_b_b,SV136: set_Product_prod_b_b] :
( ( ( ~ ~ ( ( SV136
!= ( insert1952693431od_b_b @ SV75 @ ( sK36_SY493 @ SV75 @ SV136 ) ) )
| ~ ~ ( member1285940496od_b_b @ SV75 @ ( sK36_SY493 @ SV75 @ SV136 ) ) ) )
= $false )
| ( ( member1285940496od_b_b @ SV75 @ SV136 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[985]) ).
thf(1060,plain,
! [SV196: b,SV176: b,SV137: b,SV76: set_Product_prod_b_b] :
( ( ( trans_b @ SV76 )
= $false )
| ( ( ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SV137 @ SV176 ) @ SV76 )
| ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SV176 @ SV196 ) @ SV76 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SV137 @ SV196 ) @ SV76 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[986]) ).
thf(1061,plain,
! [SV77: product_prod_b_b,SV138: set_Product_prod_b_b] :
( ( ( ( SV138
!= ( insert1952693431od_b_b @ SV77 @ ( sK37_SY496 @ SV77 @ SV138 ) ) )
| ( member1285940496od_b_b @ SV77 @ ( sK37_SY496 @ SV77 @ SV138 ) ) )
= $false )
| ( ( member1285940496od_b_b @ SV77 @ SV138 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[987]) ).
thf(1062,plain,
! [SV78: product_prod_b_b > $o,SV1: product_prod_b_b] :
( ( ( ~ ( member1285940496od_b_b @ SV1 @ ( collec1481886546od_b_b @ SV78 ) )
| ~ ( SV78 @ SV1 ) )
= $false )
| ( ( member1285940496od_b_b @ SV1 @ ( collec1481886546od_b_b @ SV78 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[988]) ).
thf(1063,plain,
! [SV78: product_prod_b_b > $o,SV1: product_prod_b_b] :
( ( ( ~ ( member1285940496od_b_b @ SV1 @ ( collec1481886546od_b_b @ SV78 ) )
| ~ ( SV78 @ SV1 ) )
= $false )
| ( ( SV78 @ SV1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[989]) ).
thf(1064,plain,
! [SV139: set_Product_prod_b_b,SV79: product_prod_b_b,SV5: product_prod_b_b] :
( ( ( member1285940496od_b_b @ SV5 @ ( insert1952693431od_b_b @ SV79 @ SV139 ) )
= $false )
| ( ( ~ ( ~ ( member1285940496od_b_b @ SV5 @ ( insert1952693431od_b_b @ SV79 @ SV139 ) )
| ~ ( ( SV5 = SV79 )
| ( member1285940496od_b_b @ SV5 @ SV139 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[990]) ).
thf(1065,plain,
! [SV139: set_Product_prod_b_b,SV79: product_prod_b_b,SV5: product_prod_b_b] :
( ( ( ( SV5 = SV79 )
| ( member1285940496od_b_b @ SV5 @ SV139 ) )
= $false )
| ( ( ~ ( ~ ( member1285940496od_b_b @ SV5 @ ( insert1952693431od_b_b @ SV79 @ SV139 ) )
| ~ ( ( SV5 = SV79 )
| ( member1285940496od_b_b @ SV5 @ SV139 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[990]) ).
thf(1066,plain,
! [SV7: set_Product_prod_b_b] :
( ( ( member1285940496od_b_b @ ( sK24_SY248 @ SV7 ) @ SV7 )
= $true )
| ( ( ~ ( ~ ! [SY248: product_prod_b_b] :
~ ( member1285940496od_b_b @ SY248 @ SV7 )
| ( SV7 != bot_bo1343651123od_b_b ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[991]) ).
thf(1067,plain,
! [SV7: set_Product_prod_b_b] :
( ( ( ~ ! [SY248: product_prod_b_b] :
~ ( member1285940496od_b_b @ SY248 @ SV7 ) )
= $false )
| ( ( SV7 = bot_bo1343651123od_b_b )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[992]) ).
thf(1068,plain,
! [SV7: set_Product_prod_b_b] :
( ( ( SV7 != bot_bo1343651123od_b_b )
= $false )
| ( ( SV7 = bot_bo1343651123od_b_b )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[992]) ).
thf(1069,plain,
! [SV81: product_prod_b_b,SV10: product_prod_b_b] :
( ( ( ~ ( member1285940496od_b_b @ SV10 @ ( insert1952693431od_b_b @ SV81 @ bot_bo1343651123od_b_b ) )
| ( SV10 != SV81 ) )
= $false )
| ( ( member1285940496od_b_b @ SV10 @ ( insert1952693431od_b_b @ SV81 @ bot_bo1343651123od_b_b ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[993]) ).
thf(1070,plain,
! [SV81: product_prod_b_b,SV10: product_prod_b_b] :
( ( ( ~ ( member1285940496od_b_b @ SV10 @ ( insert1952693431od_b_b @ SV81 @ bot_bo1343651123od_b_b ) )
| ( SV10 != SV81 ) )
= $false )
| ( ( SV10 = SV81 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[994]) ).
thf(1071,plain,
! [SV82: product_prod_b_b] :
( ( ( ~ ( bot_bo1302443370_b_b_o @ SV82 )
| ~ ( member1285940496od_b_b @ SV82 @ bot_bo1343651123od_b_b ) )
= $false )
| ( ( bot_bo1302443370_b_b_o @ SV82 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[995]) ).
thf(1072,plain,
! [SV82: product_prod_b_b] :
( ( ( ~ ( bot_bo1302443370_b_b_o @ SV82 )
| ~ ( member1285940496od_b_b @ SV82 @ bot_bo1343651123od_b_b ) )
= $false )
| ( ( member1285940496od_b_b @ SV82 @ bot_bo1343651123od_b_b )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[996]) ).
thf(1073,plain,
! [SV83: set_Product_prod_b_b,SV12: set_b,SV140: b] :
( ( ( member_b @ SV140 @ SV12 )
= $false )
| ( ( member1285940496od_b_b @ ( product_Pair_b_b @ SV140 @ SV140 ) @ SV83 )
= $true )
| ( ( refl_on_b @ SV12 @ SV83 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[997]) ).
thf(1074,plain,
! [SV85: set_b,SV14: product_prod_b_b] :
( ( ( ~ ( member_b @ ( sK25_SY411 @ SV14 @ SV85 ) @ SV85 ) )
= $false )
| ( ( member1285940496od_b_b @ SV14 @ ( id_on_b @ SV85 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[998]) ).
thf(1075,plain,
! [SV85: set_b,SV14: product_prod_b_b] :
( ( ( SV14
!= ( product_Pair_b_b @ ( sK25_SY411 @ SV14 @ SV85 ) @ ( sK25_SY411 @ SV14 @ SV85 ) ) )
= $false )
| ( ( member1285940496od_b_b @ SV14 @ ( id_on_b @ SV85 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[998]) ).
thf(1076,plain,
! [SV16: set_Product_prod_b_b,SV86: set_Pr2007082183od_b_b,SV177: product_prod_b_b,SV141: product_prod_b_b] :
( ( ( ~ ( member1652792080od_b_b @ ( produc546497367od_b_b @ SV141 @ SV177 ) @ SV86 ) )
= $true )
| ( ( member1285940496od_b_b @ SV177 @ SV16 )
= $true )
| ( ( refl_o2134473190od_b_b @ SV16 @ SV86 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[999]) ).
thf(1077,plain,
! [SV17: set_b,SV87: set_Product_prod_b_b,SV178: b,SV142: b] :
( ( ( ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SV142 @ SV178 ) @ SV87 ) )
= $true )
| ( ( member_b @ SV142 @ SV17 )
= $true )
| ( ( refl_on_b @ SV17 @ SV87 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1000]) ).
thf(1078,plain,
! [SV88: set_Product_prod_b_b] :
( ( ( ~ ( trans_b @ SV88 )
| ~ ! [SY416: b,SY417: b,SY418: b] :
( ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SY416 @ SY417 ) @ SV88 )
| ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SY417 @ SY418 ) @ SV88 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SY416 @ SY418 ) @ SV88 ) ) )
= $false )
| ( ( trans_b @ SV88 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1001]) ).
thf(1079,plain,
! [SV88: set_Product_prod_b_b] :
( ( ( ! [SY551: b,SY552: b] :
( ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ ( sK38_SY416 @ SV88 ) @ SY551 ) @ SV88 )
| ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SY551 @ SY552 ) @ SV88 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ ( sK38_SY416 @ SV88 ) @ SY552 ) @ SV88 ) ) )
= $false )
| ( ( ~ ( ~ ( trans_b @ SV88 )
| ~ ! [SY416: b,SY417: b,SY418: b] :
( ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SY416 @ SY417 ) @ SV88 )
| ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SY417 @ SY418 ) @ SV88 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SY416 @ SY418 ) @ SV88 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1002]) ).
thf(1080,plain,
! [SV20: set_b,SV90: set_Product_prod_b_b] :
( ( ( ~ ( member_b @ ( sK13_SY421 @ SV90 @ SV20 ) @ SV20 ) )
= $false )
| ( ( total_on_b @ SV20 @ SV90 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1004]) ).
thf(1081,plain,
! [SV90: set_Product_prod_b_b,SV20: set_b] :
( ( ( ~ ( member_b @ ( sK27_SY540 @ SV20 @ SV90 ) @ SV20 )
| ~ ( ( ( sK13_SY421 @ SV90 @ SV20 )
!= ( sK27_SY540 @ SV20 @ SV90 ) ) )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ ( sK13_SY421 @ SV90 @ SV20 ) @ ( sK27_SY540 @ SV20 @ SV90 ) ) @ SV90 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ ( sK27_SY540 @ SV20 @ SV90 ) @ ( sK13_SY421 @ SV90 @ SV20 ) ) @ SV90 ) )
= $false )
| ( ( total_on_b @ SV20 @ SV90 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1004]) ).
thf(1082,plain,
! [SV22: set_Product_prod_b_b,SV92: set_Product_prod_b_b] :
( ( ( ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ ( sK15_SY425 @ SV92 @ SV22 ) @ ( sK29_SY542 @ SV22 @ SV92 ) ) @ SV22 ) )
= $false )
| ( ( ord_le1036320359od_b_b @ SV22 @ SV92 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1006]) ).
thf(1083,plain,
! [SV22: set_Product_prod_b_b,SV92: set_Product_prod_b_b] :
( ( ( member1285940496od_b_b @ ( product_Pair_b_b @ ( sK15_SY425 @ SV92 @ SV22 ) @ ( sK29_SY542 @ SV22 @ SV92 ) ) @ SV92 )
= $false )
| ( ( ord_le1036320359od_b_b @ SV22 @ SV92 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1006]) ).
thf(1084,plain,
! [SV143: set_Product_prod_b_b,SV93: set_Product_prod_b_b,SV23: product_prod_b_b] :
( ( ( ord_le1036320359od_b_b @ ( insert1952693431od_b_b @ SV23 @ SV93 ) @ SV143 )
= $false )
| ( ( ~ ( ~ ( ord_le1036320359od_b_b @ ( insert1952693431od_b_b @ SV23 @ SV93 ) @ SV143 )
| ~ ~ ( ~ ( member1285940496od_b_b @ SV23 @ SV143 )
| ~ ( ord_le1036320359od_b_b @ SV93 @ SV143 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1007]) ).
thf(1085,plain,
! [SV93: set_Product_prod_b_b,SV143: set_Product_prod_b_b,SV23: product_prod_b_b] :
( ( ( ~ ( ~ ( member1285940496od_b_b @ SV23 @ SV143 )
| ~ ( ord_le1036320359od_b_b @ SV93 @ SV143 ) ) )
= $false )
| ( ( ~ ( ~ ( ord_le1036320359od_b_b @ ( insert1952693431od_b_b @ SV23 @ SV93 ) @ SV143 )
| ~ ~ ( ~ ( member1285940496od_b_b @ SV23 @ SV143 )
| ~ ( ord_le1036320359od_b_b @ SV93 @ SV143 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1007]) ).
thf(1086,plain,
! [SV179: b,SV144: b,SV94: b,SV24: b] :
( ( ( ( ( product_Pair_b_b @ SV24 @ SV94 )
= ( product_Pair_b_b @ SV144 @ SV179 ) )
| ~ ( ( SV24 != SV144 )
| ( SV94 != SV179 ) ) )
= $false )
| ( ( ~ ( ( ( product_Pair_b_b @ SV24 @ SV94 )
!= ( product_Pair_b_b @ SV144 @ SV179 ) )
| ~ ~ ( ( SV24 != SV144 )
| ( SV94 != SV179 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1008]) ).
thf(1087,plain,
! [SV197: labeled_graph_a_b,SV180: labeled_graph_a_b,SV145: a,SV95: b,SV25: b] :
( ( ( member1285940496od_b_b @ ( product_Pair_b_b @ SV25 @ SV95 ) @ ( getRel_a_b @ SV145 @ SV180 ) )
= $false )
| ( ( ~ ( graph_1322245399_a_b_b @ SV180 @ SV197 @ ( id_on_b @ ( labeled_vertices_a_b @ SV180 ) ) )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SV25 @ SV95 ) @ ( getRel_a_b @ SV145 @ SV197 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1009]) ).
thf(1088,plain,
! [SV97: set_Product_prod_b_b,SV27: set_Product_prod_b_b,SV147: product_prod_b_b] :
( ( ( member1285940496od_b_b @ SV147 @ SV27 )
= $false )
| ( ( member1285940496od_b_b @ SV147 @ SV97 )
= $true )
| ( ( ord_le1036320359od_b_b @ SV27 @ SV97 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1010]) ).
thf(1089,plain,
! [SV181: b,SV30: set_Product_prod_b_b,SV148: b,SV99: b] :
( ( ( ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SV99 @ SV148 ) @ SV30 ) )
= $true )
| ( ( ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SV148 @ SV181 ) @ SV30 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SV99 @ SV181 ) @ SV30 ) )
= $true )
| ( ( trans_b @ SV30 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1012]) ).
thf(1090,plain,
! [SV182: b,SV149: b,SV100: b,SV31: b] :
( ( ( ( ( product_Pair_b_b @ SV31 @ SV100 )
= ( product_Pair_b_b @ SV149 @ SV182 ) )
| ~ ( ( SV31 != SV149 )
| ( SV100 != SV182 ) ) )
= $false )
| ( ( ~ ( ( ( product_Pair_b_b @ SV31 @ SV100 )
!= ( product_Pair_b_b @ SV149 @ SV182 ) )
| ~ ~ ( ( SV31 != SV149 )
| ( SV100 != SV182 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1013]) ).
thf(1091,plain,
! [SV32: set_Product_prod_b_b,SV101: set_Product_prod_b_b] :
( ( ( member1285940496od_b_b @ ( sK17_SY439 @ SV101 @ SV32 ) @ SV32 )
= $true )
| ( ( ord_le1036320359od_b_b @ SV32 @ SV101 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1014]) ).
thf(1092,plain,
! [SV102: set_Product_prod_b_b] :
( ( ( ~ ( sym_b @ SV102 )
| ~ ! [SY440: b,SY441: b] :
( ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SY440 @ SY441 ) @ SV102 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SY441 @ SY440 ) @ SV102 ) ) )
= $false )
| ( ( sym_b @ SV102 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1016]) ).
thf(1093,plain,
! [SV102: set_Product_prod_b_b] :
( ( ( ! [SY553: b] :
( ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ ( sK39_SY440 @ SV102 ) @ SY553 ) @ SV102 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SY553 @ ( sK39_SY440 @ SV102 ) ) @ SV102 ) ) )
= $false )
| ( ( ~ ( ~ ( sym_b @ SV102 )
| ~ ! [SY440: b,SY441: b] :
( ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SY440 @ SY441 ) @ SV102 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SY441 @ SY440 ) @ SV102 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1017]) ).
thf(1094,plain,
! [SV103: produc1133639312od_b_b,SV34: produc1133639312od_b_b > $o] :
( ( ( SV34 @ ( produc2135284224od_b_b @ ( sK18_SY307 @ SV103 @ SV34 ) @ ( product_Pair_b_b @ ( sK30_SY543 @ SV103 @ SV34 ) @ ( sK40_SY549 @ SV103 @ SV34 ) ) ) )
= $false )
| ( ( SV34 @ SV103 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1018]) ).
thf(1095,plain,
! [SV183: set_Product_prod_b_b,SV104: set_Product_prod_b_b] :
( ( ( ( ord_le1036320359od_b_b @ SV104 @ SV183 )
| ! [SY529: product_prod_b_b] :
( ~ ( member1285940496od_b_b @ SY529 @ SV104 )
| ( member1285940496od_b_b @ SY529 @ SV183 ) ) )
= $false )
| ( ( ~ ( ~ ( ord_le1036320359od_b_b @ SV104 @ SV183 )
| ~ ! [SY529: product_prod_b_b] :
( ~ ( member1285940496od_b_b @ SY529 @ SV104 )
| ( member1285940496od_b_b @ SY529 @ SV183 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1019]) ).
thf(1096,plain,
! [SV184: set_Product_prod_b_b,SV105: set_Product_prod_b_b] :
( ( ( ( ord_le1036320359od_b_b @ SV105 @ SV184 )
| ! [SY530: product_prod_b_b] :
( ~ ( member1285940496od_b_b @ SY530 @ SV105 )
| ( member1285940496od_b_b @ SY530 @ SV184 ) ) )
= $false )
| ( ( ~ ( ~ ( ord_le1036320359od_b_b @ SV105 @ SV184 )
| ~ ! [SY530: product_prod_b_b] :
( ~ ( member1285940496od_b_b @ SY530 @ SV105 )
| ( member1285940496od_b_b @ SY530 @ SV184 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1020]) ).
thf(1097,plain,
! [SV107: set_Product_prod_b_b,SV38: produc1168037607od_b_b] :
( ( ( ~ ( member1285940496od_b_b @ ( sK31_SY449 @ SV38 @ SV107 ) @ SV107 ) )
= $false )
| ( ( member1652792080od_b_b @ SV38 @ ( id_on_2019020932od_b_b @ SV107 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1021]) ).
thf(1098,plain,
! [SV107: set_Product_prod_b_b,SV38: produc1168037607od_b_b] :
( ( ( SV38
!= ( produc546497367od_b_b @ ( sK31_SY449 @ SV38 @ SV107 ) @ ( sK31_SY449 @ SV38 @ SV107 ) ) )
= $false )
| ( ( member1652792080od_b_b @ SV38 @ ( id_on_2019020932od_b_b @ SV107 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1021]) ).
thf(1099,plain,
! [SV152: product_prod_b_b,SV108: set_Product_prod_b_b,SV39: product_prod_b_b] :
( ( ( ~ ( member1285940496od_b_b @ SV39 @ SV108 ) )
= $true )
| ( ( member1285940496od_b_b @ SV39 @ ( insert1952693431od_b_b @ SV152 @ SV108 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1022]) ).
thf(1100,plain,
! [SV40: set_Product_prod_b_b,SV109: set_Pr2007082183od_b_b,SV185: product_prod_b_b,SV153: product_prod_b_b] :
( ( ( ~ ( member1652792080od_b_b @ ( produc546497367od_b_b @ SV153 @ SV185 ) @ SV109 ) )
= $true )
| ( ( member1285940496od_b_b @ SV153 @ SV40 )
= $true )
| ( ( refl_o2134473190od_b_b @ SV40 @ SV109 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1024]) ).
thf(1101,plain,
! [SV154: set_Product_prod_b_b,SV110: product_prod_b_b,SV41: product_prod_b_b] :
( ( ( SV41 != SV110 )
= $false )
| ( ( member1285940496od_b_b @ SV41 @ SV154 )
= $true )
| ( ( member1285940496od_b_b @ SV41 @ ( insert1952693431od_b_b @ SV110 @ SV154 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1025]) ).
thf(1102,plain,
! [SV42: set_Product_prod_b_b,SV155: b,SV111: b] :
( ( ( member1285940496od_b_b @ ( product_Pair_b_b @ SV111 @ SV155 ) @ SV42 )
= $false )
| ( ( member1285940496od_b_b @ ( product_Pair_b_b @ SV155 @ SV111 ) @ SV42 )
= $true )
| ( ( sym_b @ SV42 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1026]) ).
thf(1103,plain,
! [SV43: labeled_graph_a_b,SV186: a,SV156: b,SV112: b] :
( ( ( ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SV112 @ SV156 ) @ ( getRel_a_b @ SV186 @ SV43 ) ) )
= $true )
| ( ( member_b @ SV112 @ ( labeled_vertices_a_b @ SV43 ) )
= $true )
| ( ( SV43
= ( restrict_a_b @ SV43 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1027]) ).
thf(1104,plain,
! [SV44: set_Product_prod_b_b,SV199: product_prod_b_b] :
( ( ( ~ ( member1285940496od_b_b @ SV199 @ SV44 ) )
= $true )
| ( ( ~ ( ~ ~ ! [SY329: product_prod_b_b] :
~ ( member1285940496od_b_b @ SY329 @ SV44 )
| ~ ( ( SV44 != bot_bo1343651123od_b_b ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1028]) ).
thf(1105,plain,
! [SV44: set_Product_prod_b_b] :
( ( ( ~ ~ ! [SY329: product_prod_b_b] :
~ ( member1285940496od_b_b @ SY329 @ SV44 )
| ~ ( ( SV44 != bot_bo1343651123od_b_b ) ) )
= $false )
| ( ( SV44 = bot_bo1343651123od_b_b )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1029]) ).
thf(1106,plain,
! [SV113: product_prod_b_b,SV157: set_Product_prod_b_b,SV45: product_prod_b_b] :
( ( ( member1285940496od_b_b @ SV45 @ SV157 )
= $false )
| ( ( member1652792080od_b_b @ ( produc546497367od_b_b @ SV45 @ SV113 ) @ ( id_on_2019020932od_b_b @ SV157 ) )
= $true )
| ( ( SV45 = SV113 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1030]) ).
thf(1107,plain,
! [SV187: set_Product_prod_b_b,SV114: set_b] :
( ( ( ( total_on_b @ SV114 @ SV187 )
| ! [SY531: b] :
( ~ ( member_b @ SY531 @ SV114 )
| ! [SY532: b] :
( ~ ( member_b @ SY532 @ SV114 )
| ~ ( ( SY531 != SY532 ) )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SY531 @ SY532 ) @ SV187 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SY532 @ SY531 ) @ SV187 ) ) ) )
= $false )
| ( ( ~ ( ~ ( total_on_b @ SV114 @ SV187 )
| ~ ! [SY531: b] :
( ~ ( member_b @ SY531 @ SV114 )
| ! [SY532: b] :
( ~ ( member_b @ SY532 @ SV114 )
| ~ ( ( SY531 != SY532 ) )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SY531 @ SY532 ) @ SV187 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SY532 @ SY531 ) @ SV187 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1031]) ).
thf(1108,plain,
! [SV115: set_Product_prod_b_b,SV47: set_Product_prod_b_b,SV159: product_prod_b_b] :
( ( ( member1285940496od_b_b @ SV159 @ SV47 )
= $false )
| ( ( member1285940496od_b_b @ SV159 @ SV115 )
= $true )
| ( ( ord_le1036320359od_b_b @ SV47 @ SV115 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1032]) ).
thf(1109,plain,
! [SV48: product_prod_b_b] :
( ( SV48
= ( product_Pair_b_b @ ( sK3_SY337 @ SV48 ) @ ( sK32_SY513 @ SV48 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1033]) ).
thf(1110,plain,
! [SV49: labeled_graph_a_b,SV188: a,SV160: b,SV116: b] :
( ( ( ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SV116 @ SV160 ) @ ( getRel_a_b @ SV188 @ SV49 ) ) )
= $true )
| ( ( member_b @ SV160 @ ( labeled_vertices_a_b @ SV49 ) )
= $true )
| ( ( SV49
= ( restrict_a_b @ SV49 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1034]) ).
thf(1111,plain,
! [SV189: b,SV117: b,SV161: b,SV50: b] :
( ( ( ( SV50 != SV161 )
| ( SV117 != SV189 ) )
= $false )
| ( ( ( product_Pair_b_b @ SV50 @ SV117 )
= ( product_Pair_b_b @ SV161 @ SV189 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1035]) ).
thf(1112,plain,
! [SV162: set_Product_prod_b_b,SV51: product_prod_b_b,SV118: set_Product_prod_b_b] :
( ( ( ~ ( ( ord_le1036320359od_b_b @ SV118 @ ( insert1952693431od_b_b @ SV51 @ SV162 ) )
| ( ord_le1036320359od_b_b @ SV118 @ SV162 ) )
| ~ ( ~ ( ord_le1036320359od_b_b @ SV118 @ ( insert1952693431od_b_b @ SV51 @ SV162 ) )
| ~ ( ord_le1036320359od_b_b @ SV118 @ SV162 ) ) )
= $true )
| ( ( member1285940496od_b_b @ SV51 @ SV118 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1036]) ).
thf(1113,plain,
! [SV162: set_Product_prod_b_b,SV51: product_prod_b_b,SV118: set_Product_prod_b_b] :
( ( ( ( ord_le1036320359od_b_b @ SV118 @ ( insert1952693431od_b_b @ SV51 @ SV162 ) )
= ( ord_le1036320359od_b_b @ SV118 @ SV162 ) )
= $true )
| ( ( member1285940496od_b_b @ SV51 @ SV118 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1036]) ).
thf(1114,plain,
! [SV200: b] :
( ( ! [SY554: b] :
( ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SV200 @ SY554 ) @ ( getRel_a_b @ i @ g ) )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SY554 @ SV200 ) @ ( getRel_a_b @ i @ g ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1038]) ).
thf(1115,plain,
! [SV119: set_Pr2007082183od_b_b,SV52: set_Product_prod_b_b,SV163: product_prod_b_b] :
( ( ( member1285940496od_b_b @ SV163 @ SV52 )
= $false )
| ( ( member1652792080od_b_b @ ( produc546497367od_b_b @ SV163 @ SV163 ) @ SV119 )
= $true )
| ( ( refl_o2134473190od_b_b @ SV52 @ SV119 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1039]) ).
thf(1116,plain,
! [SV53: set_Product_prod_b_b] :
( ( ( ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ ( sK7_SY349 @ SV53 ) @ ( sK19_SY533 @ SV53 ) ) @ SV53 ) )
= $false )
| ( ( trans_b @ SV53 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1040]) ).
thf(1117,plain,
! [SV53: set_Product_prod_b_b] :
( ( ( ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ ( sK19_SY533 @ SV53 ) @ ( sK33_SY545 @ SV53 ) ) @ SV53 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ ( sK7_SY349 @ SV53 ) @ ( sK33_SY545 @ SV53 ) ) @ SV53 ) )
= $false )
| ( ( trans_b @ SV53 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1040]) ).
thf(1118,plain,
! [SV54: set_Product_prod_b_b,SV120: set_Pr2007082183od_b_b] :
( ( ( ~ ( member1285940496od_b_b @ ( sK20_SY468 @ SV120 @ SV54 ) @ SV54 ) )
= $false )
| ( ( total_178717291od_b_b @ SV54 @ SV120 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1041]) ).
thf(1119,plain,
! [SV120: set_Pr2007082183od_b_b,SV54: set_Product_prod_b_b] :
( ( ( ~ ( member1285940496od_b_b @ ( sK34_SY546 @ SV54 @ SV120 ) @ SV54 )
| ~ ( ( ( sK20_SY468 @ SV120 @ SV54 )
!= ( sK34_SY546 @ SV54 @ SV120 ) ) )
| ( member1652792080od_b_b @ ( produc546497367od_b_b @ ( sK20_SY468 @ SV120 @ SV54 ) @ ( sK34_SY546 @ SV54 @ SV120 ) ) @ SV120 )
| ( member1652792080od_b_b @ ( produc546497367od_b_b @ ( sK34_SY546 @ SV54 @ SV120 ) @ ( sK20_SY468 @ SV120 @ SV54 ) ) @ SV120 ) )
= $false )
| ( ( total_178717291od_b_b @ SV54 @ SV120 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1041]) ).
thf(1120,plain,
! [SV122: produc1168037607od_b_b,SV56: produc1168037607od_b_b > $o] :
( ( ( SV56 @ ( produc546497367od_b_b @ ( sK21_SY357 @ SV122 @ SV56 ) @ ( product_Pair_b_b @ ( sK35_SY547 @ SV122 @ SV56 ) @ ( sK41_SY550 @ SV122 @ SV56 ) ) ) )
= $false )
| ( ( SV56 @ SV122 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1042]) ).
thf(1121,plain,
! [SV164: set_b,SV123: b,SV57: b] :
( ( ( member1285940496od_b_b @ ( product_Pair_b_b @ SV57 @ SV123 ) @ ( id_on_b @ SV164 ) )
= $false )
| ( ( ~ ( ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SV57 @ SV123 ) @ ( id_on_b @ SV164 ) )
| ~ ~ ( ( SV57 != SV123 )
| ~ ( member_b @ SV57 @ SV164 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1043]) ).
thf(1122,plain,
! [SV164: set_b,SV123: b,SV57: b] :
( ( ( ~ ( ( SV57 != SV123 )
| ~ ( member_b @ SV57 @ SV164 ) ) )
= $false )
| ( ( ~ ( ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SV57 @ SV123 ) @ ( id_on_b @ SV164 ) )
| ~ ~ ( ( SV57 != SV123 )
| ~ ( member_b @ SV57 @ SV164 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1043]) ).
thf(1123,plain,
! [SV198: b > set_Product_prod_b_b,SV190: b,SV165: b,SV124: b,SV58: b > $o] :
( ( ( SV58 @ SV124 )
= $false )
| ( ( ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SV165 @ SV190 ) @ ( SV198 @ SV124 ) )
| ( member1652792080od_b_b @ ( produc546497367od_b_b @ ( product_Pair_b_b @ SV124 @ SV165 ) @ ( product_Pair_b_b @ SV124 @ SV190 ) ) @ ( same_fst_b_b @ SV58 @ SV198 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1044]) ).
thf(1124,plain,
! [SV59: set_Product_prod_b_b,SV166: b,SV125: b] :
( ( ( member1285940496od_b_b @ ( product_Pair_b_b @ SV125 @ SV166 ) @ SV59 )
= $false )
| ( ( member1285940496od_b_b @ ( product_Pair_b_b @ SV166 @ SV125 ) @ SV59 )
= $true )
| ( ( sym_b @ SV59 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1045]) ).
thf(1125,plain,
! [SV167: set_Product_prod_b_b,SV126: product_prod_b_b,SV60: product_prod_b_b] :
( ( ( member1652792080od_b_b @ ( produc546497367od_b_b @ SV60 @ SV126 ) @ ( id_on_2019020932od_b_b @ SV167 ) )
= $false )
| ( ( ~ ( ~ ( member1652792080od_b_b @ ( produc546497367od_b_b @ SV60 @ SV126 ) @ ( id_on_2019020932od_b_b @ SV167 ) )
| ~ ~ ( ( SV60 != SV126 )
| ~ ( member1285940496od_b_b @ SV60 @ SV167 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1046]) ).
thf(1126,plain,
! [SV167: set_Product_prod_b_b,SV126: product_prod_b_b,SV60: product_prod_b_b] :
( ( ( ~ ( ( SV60 != SV126 )
| ~ ( member1285940496od_b_b @ SV60 @ SV167 ) ) )
= $false )
| ( ( ~ ( ~ ( member1652792080od_b_b @ ( produc546497367od_b_b @ SV60 @ SV126 ) @ ( id_on_2019020932od_b_b @ SV167 ) )
| ~ ~ ( ( SV60 != SV126 )
| ~ ( member1285940496od_b_b @ SV60 @ SV167 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1046]) ).
thf(1127,plain,
! [SV61: set_b,SV127: set_Product_prod_b_b,SV191: b,SV168: b] :
( ( ( ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SV168 @ SV191 ) @ SV127 ) )
= $true )
| ( ( member_b @ SV191 @ SV61 )
= $true )
| ( ( refl_on_b @ SV61 @ SV127 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1047]) ).
thf(1128,plain,
! [SV62: set_Product_prod_b_b] :
( ( ( ! [SY555: product_prod_b_b] :
( ~ ( member1285940496od_b_b @ ( sK42_SY373 @ SV62 ) @ SV62 )
| ~ ( member1285940496od_b_b @ SY555 @ SV62 )
| ( ( sK42_SY373 @ SV62 )
= SY555 ) ) )
= $false )
| ( ( is_sin1713057243od_b_b @ SV62 )
= $true )
| ( ( SV62 = bot_bo1343651123od_b_b )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1048]) ).
thf(1129,plain,
! [SV128: b,SV169: set_b,SV66: b] :
( ( ( member_b @ SV66 @ SV169 )
= $false )
| ( ( member1285940496od_b_b @ ( product_Pair_b_b @ SV66 @ SV128 ) @ ( id_on_b @ SV169 ) )
= $true )
| ( ( SV66 = SV128 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1050]) ).
thf(1130,plain,
! [SV67: set_Product_prod_b_b] :
( ( ( member1285940496od_b_b @ ( product_Pair_b_b @ ( sK11_SY382 @ SV67 ) @ ( sK23_SY537 @ SV67 ) ) @ SV67 )
= $true )
| ( ( sym_b @ SV67 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1051]) ).
thf(1131,plain,
! [SV68: set_b,SV129: set_Product_prod_b_b,SV192: b,SV170: b] :
( ( ( ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SV170 @ SV192 ) @ SV129 ) )
= $true )
| ( ( ~ ( ~ ( member_b @ SV170 @ SV68 )
| ~ ( member_b @ SV192 @ SV68 ) ) )
= $true )
| ( ( refl_on_b @ SV68 @ SV129 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1053]) ).
thf(1132,plain,
! [SV171: set_Product_prod_b_b,SV69: b,SV130: b,SV193: b] :
( ( ( SV193 != SV130 )
= $true )
| ( ( member1285940496od_b_b @ ( product_Pair_b_b @ SV69 @ SV193 ) @ SV171 )
= $true )
| ( ( member1285940496od_b_b @ ( product_Pair_b_b @ SV69 @ SV130 ) @ SV171 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1054]) ).
thf(1133,plain,
! [SV194: set_Product_prod_b_b,SV172: product_prod_b_b,SV131: set_Product_prod_b_b,SV70: product_prod_b_b] :
( ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true )
| ( ( ~ ~ ( member1285940496od_b_b @ SV172 @ SV194 )
| ( ( ( insert1952693431od_b_b @ SV70 @ SV131 )
= ( insert1952693431od_b_b @ SV172 @ SV194 ) )
= ( ~ ( ~ ( ( SV70 != SV172 )
| ( SV131 = SV194 ) )
| ~ ( ~ ( ( SV70 != SV172 ) )
| ~ ! [SY538: set_Product_prod_b_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV131
!= ( insert1952693431od_b_b @ SV172 @ SY538 ) )
| ~ ~ ( member1285940496od_b_b @ SV172 @ SY538 ) )
| ( SV194
!= ( insert1952693431od_b_b @ SV70 @ SY538 ) ) )
| ~ ~ ( member1285940496od_b_b @ SV70 @ SY538 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1055]) ).
thf(1134,plain,
! [SV132: set_Product_prod_b_b,SV173: set_Product_prod_b_b,SV71: product_prod_b_b] :
( ( ( ~ ~ ( member1285940496od_b_b @ SV71 @ SV173 ) )
= $true )
| ( ( ( ( insert1952693431od_b_b @ SV71 @ SV132 )
= ( insert1952693431od_b_b @ SV71 @ SV173 ) )
= ( SV132 = SV173 ) )
= $true )
| ( ( member1285940496od_b_b @ SV71 @ SV132 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1056]) ).
thf(1135,plain,
! [SV73: set_Product_prod_b_b,SV134: set_Pr2007082183od_b_b,SV195: product_prod_b_b,SV174: product_prod_b_b] :
( ( ( ~ ( member1652792080od_b_b @ ( produc546497367od_b_b @ SV174 @ SV195 ) @ SV134 ) )
= $true )
| ( ( ~ ( ~ ( member1285940496od_b_b @ SV174 @ SV73 )
| ~ ( member1285940496od_b_b @ SV195 @ SV73 ) ) )
= $true )
| ( ( refl_o2134473190od_b_b @ SV73 @ SV134 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1057]) ).
thf(1136,plain,
! [SV74: product_prod_b_b,SV135: set_Product_prod_b_b,SV175: set_Product_prod_b_b] :
( ( ( ord_le1036320359od_b_b @ SV175 @ SV135 )
= $false )
| ( ( ord_le1036320359od_b_b @ ( insert1952693431od_b_b @ SV74 @ SV175 ) @ SV135 )
= $true )
| ( ( member1285940496od_b_b @ SV74 @ SV135 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1058]) ).
thf(1137,plain,
! [SV75: product_prod_b_b,SV136: set_Product_prod_b_b] :
( ( ( ~ ( ( SV136
!= ( insert1952693431od_b_b @ SV75 @ ( sK36_SY493 @ SV75 @ SV136 ) ) )
| ~ ~ ( member1285940496od_b_b @ SV75 @ ( sK36_SY493 @ SV75 @ SV136 ) ) ) )
= $true )
| ( ( member1285940496od_b_b @ SV75 @ SV136 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1059]) ).
thf(1138,plain,
! [SV196: b,SV76: set_Product_prod_b_b,SV176: b,SV137: b] :
( ( ( ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SV137 @ SV176 ) @ SV76 ) )
= $true )
| ( ( ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SV176 @ SV196 ) @ SV76 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SV137 @ SV196 ) @ SV76 ) )
= $true )
| ( ( trans_b @ SV76 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1060]) ).
thf(1139,plain,
! [SV77: product_prod_b_b,SV138: set_Product_prod_b_b] :
( ( ( SV138
!= ( insert1952693431od_b_b @ SV77 @ ( sK37_SY496 @ SV77 @ SV138 ) ) )
= $false )
| ( ( member1285940496od_b_b @ SV77 @ SV138 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1061]) ).
thf(1140,plain,
! [SV138: set_Product_prod_b_b,SV77: product_prod_b_b] :
( ( ( member1285940496od_b_b @ SV77 @ ( sK37_SY496 @ SV77 @ SV138 ) )
= $false )
| ( ( member1285940496od_b_b @ SV77 @ SV138 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1061]) ).
thf(1141,plain,
! [SV78: product_prod_b_b > $o,SV1: product_prod_b_b] :
( ( ( ~ ( member1285940496od_b_b @ SV1 @ ( collec1481886546od_b_b @ SV78 ) ) )
= $false )
| ( ( member1285940496od_b_b @ SV1 @ ( collec1481886546od_b_b @ SV78 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1062]) ).
thf(1142,plain,
! [SV1: product_prod_b_b,SV78: product_prod_b_b > $o] :
( ( ( ~ ( SV78 @ SV1 ) )
= $false )
| ( ( member1285940496od_b_b @ SV1 @ ( collec1481886546od_b_b @ SV78 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1062]) ).
thf(1143,plain,
! [SV78: product_prod_b_b > $o,SV1: product_prod_b_b] :
( ( ( ~ ( member1285940496od_b_b @ SV1 @ ( collec1481886546od_b_b @ SV78 ) ) )
= $false )
| ( ( SV78 @ SV1 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1063]) ).
thf(1144,plain,
! [SV1: product_prod_b_b,SV78: product_prod_b_b > $o] :
( ( ( ~ ( SV78 @ SV1 ) )
= $false )
| ( ( SV78 @ SV1 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1063]) ).
thf(1145,plain,
! [SV139: set_Product_prod_b_b,SV79: product_prod_b_b,SV5: product_prod_b_b] :
( ( ( ~ ( member1285940496od_b_b @ SV5 @ ( insert1952693431od_b_b @ SV79 @ SV139 ) )
| ~ ( ( SV5 = SV79 )
| ( member1285940496od_b_b @ SV5 @ SV139 ) ) )
= $false )
| ( ( member1285940496od_b_b @ SV5 @ ( insert1952693431od_b_b @ SV79 @ SV139 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1064]) ).
thf(1146,plain,
! [SV139: set_Product_prod_b_b,SV79: product_prod_b_b,SV5: product_prod_b_b] :
( ( ( SV5 = SV79 )
= $false )
| ( ( ~ ( ~ ( member1285940496od_b_b @ SV5 @ ( insert1952693431od_b_b @ SV79 @ SV139 ) )
| ~ ( ( SV5 = SV79 )
| ( member1285940496od_b_b @ SV5 @ SV139 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1065]) ).
thf(1147,plain,
! [SV79: product_prod_b_b,SV139: set_Product_prod_b_b,SV5: product_prod_b_b] :
( ( ( member1285940496od_b_b @ SV5 @ SV139 )
= $false )
| ( ( ~ ( ~ ( member1285940496od_b_b @ SV5 @ ( insert1952693431od_b_b @ SV79 @ SV139 ) )
| ~ ( ( SV5 = SV79 )
| ( member1285940496od_b_b @ SV5 @ SV139 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1065]) ).
thf(1148,plain,
! [SV7: set_Product_prod_b_b] :
( ( ( ~ ! [SY248: product_prod_b_b] :
~ ( member1285940496od_b_b @ SY248 @ SV7 )
| ( SV7 != bot_bo1343651123od_b_b ) )
= $false )
| ( ( member1285940496od_b_b @ ( sK24_SY248 @ SV7 ) @ SV7 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1066]) ).
thf(1149,plain,
! [SV7: set_Product_prod_b_b] :
( ( ( ! [SY248: product_prod_b_b] :
~ ( member1285940496od_b_b @ SY248 @ SV7 ) )
= $true )
| ( ( SV7 = bot_bo1343651123od_b_b )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1067]) ).
thf(1150,plain,
! [SV7: set_Product_prod_b_b] :
( ( ( SV7 = bot_bo1343651123od_b_b )
= $true )
| ( ( SV7 = bot_bo1343651123od_b_b )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1068]) ).
thf(1151,plain,
! [SV81: product_prod_b_b,SV10: product_prod_b_b] :
( ( ( ~ ( member1285940496od_b_b @ SV10 @ ( insert1952693431od_b_b @ SV81 @ bot_bo1343651123od_b_b ) ) )
= $false )
| ( ( member1285940496od_b_b @ SV10 @ ( insert1952693431od_b_b @ SV81 @ bot_bo1343651123od_b_b ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1069]) ).
thf(1152,plain,
! [SV81: product_prod_b_b,SV10: product_prod_b_b] :
( ( ( SV10 != SV81 )
= $false )
| ( ( member1285940496od_b_b @ SV10 @ ( insert1952693431od_b_b @ SV81 @ bot_bo1343651123od_b_b ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1069]) ).
thf(1153,plain,
! [SV81: product_prod_b_b,SV10: product_prod_b_b] :
( ( ( ~ ( member1285940496od_b_b @ SV10 @ ( insert1952693431od_b_b @ SV81 @ bot_bo1343651123od_b_b ) ) )
= $false )
| ( ( SV10 = SV81 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1070]) ).
thf(1154,plain,
! [SV81: product_prod_b_b,SV10: product_prod_b_b] :
( ( ( SV10 != SV81 )
= $false )
| ( ( SV10 = SV81 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1070]) ).
thf(1155,plain,
! [SV82: product_prod_b_b] :
( ( ( ~ ( bot_bo1302443370_b_b_o @ SV82 ) )
= $false )
| ( ( bot_bo1302443370_b_b_o @ SV82 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1071]) ).
thf(1156,plain,
! [SV82: product_prod_b_b] :
( ( ( ~ ( member1285940496od_b_b @ SV82 @ bot_bo1343651123od_b_b ) )
= $false )
| ( ( bot_bo1302443370_b_b_o @ SV82 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1071]) ).
thf(1157,plain,
! [SV82: product_prod_b_b] :
( ( ( ~ ( bot_bo1302443370_b_b_o @ SV82 ) )
= $false )
| ( ( member1285940496od_b_b @ SV82 @ bot_bo1343651123od_b_b )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1072]) ).
thf(1158,plain,
! [SV82: product_prod_b_b] :
( ( ( ~ ( member1285940496od_b_b @ SV82 @ bot_bo1343651123od_b_b ) )
= $false )
| ( ( member1285940496od_b_b @ SV82 @ bot_bo1343651123od_b_b )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1072]) ).
thf(1159,plain,
! [SV85: set_b,SV14: product_prod_b_b] :
( ( ( member_b @ ( sK25_SY411 @ SV14 @ SV85 ) @ SV85 )
= $true )
| ( ( member1285940496od_b_b @ SV14 @ ( id_on_b @ SV85 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1074]) ).
thf(1160,plain,
! [SV85: set_b,SV14: product_prod_b_b] :
( ( ( SV14
= ( product_Pair_b_b @ ( sK25_SY411 @ SV14 @ SV85 ) @ ( sK25_SY411 @ SV14 @ SV85 ) ) )
= $true )
| ( ( member1285940496od_b_b @ SV14 @ ( id_on_b @ SV85 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1075]) ).
thf(1161,plain,
! [SV16: set_Product_prod_b_b,SV86: set_Pr2007082183od_b_b,SV177: product_prod_b_b,SV141: product_prod_b_b] :
( ( ( member1652792080od_b_b @ ( produc546497367od_b_b @ SV141 @ SV177 ) @ SV86 )
= $false )
| ( ( member1285940496od_b_b @ SV177 @ SV16 )
= $true )
| ( ( refl_o2134473190od_b_b @ SV16 @ SV86 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1076]) ).
thf(1162,plain,
! [SV17: set_b,SV87: set_Product_prod_b_b,SV178: b,SV142: b] :
( ( ( member1285940496od_b_b @ ( product_Pair_b_b @ SV142 @ SV178 ) @ SV87 )
= $false )
| ( ( member_b @ SV142 @ SV17 )
= $true )
| ( ( refl_on_b @ SV17 @ SV87 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1077]) ).
thf(1163,plain,
! [SV88: set_Product_prod_b_b] :
( ( ( ~ ( trans_b @ SV88 ) )
= $false )
| ( ( trans_b @ SV88 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1078]) ).
thf(1164,plain,
! [SV88: set_Product_prod_b_b] :
( ( ( ~ ! [SY416: b,SY417: b,SY418: b] :
( ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SY416 @ SY417 ) @ SV88 )
| ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SY417 @ SY418 ) @ SV88 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SY416 @ SY418 ) @ SV88 ) ) )
= $false )
| ( ( trans_b @ SV88 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1078]) ).
thf(1165,plain,
! [SV88: set_Product_prod_b_b] :
( ( ( ! [SY556: b] :
( ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ ( sK38_SY416 @ SV88 ) @ ( sK43_SY551 @ SV88 ) ) @ SV88 )
| ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ ( sK43_SY551 @ SV88 ) @ SY556 ) @ SV88 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ ( sK38_SY416 @ SV88 ) @ SY556 ) @ SV88 ) ) )
= $false )
| ( ( ~ ( ~ ( trans_b @ SV88 )
| ~ ! [SY416: b,SY417: b,SY418: b] :
( ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SY416 @ SY417 ) @ SV88 )
| ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SY417 @ SY418 ) @ SV88 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SY416 @ SY418 ) @ SV88 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1079]) ).
thf(1166,plain,
! [SV20: set_b,SV90: set_Product_prod_b_b] :
( ( ( member_b @ ( sK13_SY421 @ SV90 @ SV20 ) @ SV20 )
= $true )
| ( ( total_on_b @ SV20 @ SV90 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1080]) ).
thf(1167,plain,
! [SV90: set_Product_prod_b_b,SV20: set_b] :
( ( ( ~ ( member_b @ ( sK27_SY540 @ SV20 @ SV90 ) @ SV20 ) )
= $false )
| ( ( total_on_b @ SV20 @ SV90 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1081]) ).
thf(1168,plain,
! [SV20: set_b,SV90: set_Product_prod_b_b] :
( ( ( ~ ( ( ( sK13_SY421 @ SV90 @ SV20 )
!= ( sK27_SY540 @ SV20 @ SV90 ) ) )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ ( sK13_SY421 @ SV90 @ SV20 ) @ ( sK27_SY540 @ SV20 @ SV90 ) ) @ SV90 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ ( sK27_SY540 @ SV20 @ SV90 ) @ ( sK13_SY421 @ SV90 @ SV20 ) ) @ SV90 ) )
= $false )
| ( ( total_on_b @ SV20 @ SV90 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1081]) ).
thf(1169,plain,
! [SV22: set_Product_prod_b_b,SV92: set_Product_prod_b_b] :
( ( ( member1285940496od_b_b @ ( product_Pair_b_b @ ( sK15_SY425 @ SV92 @ SV22 ) @ ( sK29_SY542 @ SV22 @ SV92 ) ) @ SV22 )
= $true )
| ( ( ord_le1036320359od_b_b @ SV22 @ SV92 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1082]) ).
thf(1170,plain,
! [SV143: set_Product_prod_b_b,SV93: set_Product_prod_b_b,SV23: product_prod_b_b] :
( ( ( ~ ( ord_le1036320359od_b_b @ ( insert1952693431od_b_b @ SV23 @ SV93 ) @ SV143 )
| ~ ~ ( ~ ( member1285940496od_b_b @ SV23 @ SV143 )
| ~ ( ord_le1036320359od_b_b @ SV93 @ SV143 ) ) )
= $false )
| ( ( ord_le1036320359od_b_b @ ( insert1952693431od_b_b @ SV23 @ SV93 ) @ SV143 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1084]) ).
thf(1171,plain,
! [SV93: set_Product_prod_b_b,SV143: set_Product_prod_b_b,SV23: product_prod_b_b] :
( ( ( ~ ( member1285940496od_b_b @ SV23 @ SV143 )
| ~ ( ord_le1036320359od_b_b @ SV93 @ SV143 ) )
= $true )
| ( ( ~ ( ~ ( ord_le1036320359od_b_b @ ( insert1952693431od_b_b @ SV23 @ SV93 ) @ SV143 )
| ~ ~ ( ~ ( member1285940496od_b_b @ SV23 @ SV143 )
| ~ ( ord_le1036320359od_b_b @ SV93 @ SV143 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1085]) ).
thf(1172,plain,
! [SV179: b,SV144: b,SV94: b,SV24: b] :
( ( ( ( product_Pair_b_b @ SV24 @ SV94 )
= ( product_Pair_b_b @ SV144 @ SV179 ) )
= $false )
| ( ( ~ ( ( ( product_Pair_b_b @ SV24 @ SV94 )
!= ( product_Pair_b_b @ SV144 @ SV179 ) )
| ~ ~ ( ( SV24 != SV144 )
| ( SV94 != SV179 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1086]) ).
thf(1173,plain,
! [SV179: b,SV94: b,SV144: b,SV24: b] :
( ( ( ~ ( ( SV24 != SV144 )
| ( SV94 != SV179 ) ) )
= $false )
| ( ( ~ ( ( ( product_Pair_b_b @ SV24 @ SV94 )
!= ( product_Pair_b_b @ SV144 @ SV179 ) )
| ~ ~ ( ( SV24 != SV144 )
| ( SV94 != SV179 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1086]) ).
thf(1174,plain,
! [SV145: a,SV95: b,SV25: b,SV197: labeled_graph_a_b,SV180: labeled_graph_a_b] :
( ( ( ~ ( graph_1322245399_a_b_b @ SV180 @ SV197 @ ( id_on_b @ ( labeled_vertices_a_b @ SV180 ) ) ) )
= $true )
| ( ( member1285940496od_b_b @ ( product_Pair_b_b @ SV25 @ SV95 ) @ ( getRel_a_b @ SV145 @ SV197 ) )
= $true )
| ( ( member1285940496od_b_b @ ( product_Pair_b_b @ SV25 @ SV95 ) @ ( getRel_a_b @ SV145 @ SV180 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1087]) ).
thf(1175,plain,
! [SV181: b,SV30: set_Product_prod_b_b,SV148: b,SV99: b] :
( ( ( member1285940496od_b_b @ ( product_Pair_b_b @ SV99 @ SV148 ) @ SV30 )
= $false )
| ( ( ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SV148 @ SV181 ) @ SV30 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SV99 @ SV181 ) @ SV30 ) )
= $true )
| ( ( trans_b @ SV30 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1089]) ).
thf(1176,plain,
! [SV182: b,SV149: b,SV100: b,SV31: b] :
( ( ( ( product_Pair_b_b @ SV31 @ SV100 )
= ( product_Pair_b_b @ SV149 @ SV182 ) )
= $false )
| ( ( ~ ( ( ( product_Pair_b_b @ SV31 @ SV100 )
!= ( product_Pair_b_b @ SV149 @ SV182 ) )
| ~ ~ ( ( SV31 != SV149 )
| ( SV100 != SV182 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1090]) ).
thf(1177,plain,
! [SV182: b,SV100: b,SV149: b,SV31: b] :
( ( ( ~ ( ( SV31 != SV149 )
| ( SV100 != SV182 ) ) )
= $false )
| ( ( ~ ( ( ( product_Pair_b_b @ SV31 @ SV100 )
!= ( product_Pair_b_b @ SV149 @ SV182 ) )
| ~ ~ ( ( SV31 != SV149 )
| ( SV100 != SV182 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1090]) ).
thf(1178,plain,
! [SV102: set_Product_prod_b_b] :
( ( ( ~ ( sym_b @ SV102 ) )
= $false )
| ( ( sym_b @ SV102 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1092]) ).
thf(1179,plain,
! [SV102: set_Product_prod_b_b] :
( ( ( ~ ! [SY440: b,SY441: b] :
( ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SY440 @ SY441 ) @ SV102 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SY441 @ SY440 ) @ SV102 ) ) )
= $false )
| ( ( sym_b @ SV102 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1092]) ).
thf(1180,plain,
! [SV102: set_Product_prod_b_b] :
( ( ( ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ ( sK39_SY440 @ SV102 ) @ ( sK44_SY553 @ SV102 ) ) @ SV102 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ ( sK44_SY553 @ SV102 ) @ ( sK39_SY440 @ SV102 ) ) @ SV102 ) )
= $false )
| ( ( ~ ( ~ ( sym_b @ SV102 )
| ~ ! [SY440: b,SY441: b] :
( ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SY440 @ SY441 ) @ SV102 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SY441 @ SY440 ) @ SV102 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1093]) ).
thf(1181,plain,
! [SV183: set_Product_prod_b_b,SV104: set_Product_prod_b_b] :
( ( ( ord_le1036320359od_b_b @ SV104 @ SV183 )
= $false )
| ( ( ~ ( ~ ( ord_le1036320359od_b_b @ SV104 @ SV183 )
| ~ ! [SY529: product_prod_b_b] :
( ~ ( member1285940496od_b_b @ SY529 @ SV104 )
| ( member1285940496od_b_b @ SY529 @ SV183 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1095]) ).
thf(1182,plain,
! [SV183: set_Product_prod_b_b,SV104: set_Product_prod_b_b] :
( ( ( ! [SY529: product_prod_b_b] :
( ~ ( member1285940496od_b_b @ SY529 @ SV104 )
| ( member1285940496od_b_b @ SY529 @ SV183 ) ) )
= $false )
| ( ( ~ ( ~ ( ord_le1036320359od_b_b @ SV104 @ SV183 )
| ~ ! [SY529: product_prod_b_b] :
( ~ ( member1285940496od_b_b @ SY529 @ SV104 )
| ( member1285940496od_b_b @ SY529 @ SV183 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1095]) ).
thf(1183,plain,
! [SV184: set_Product_prod_b_b,SV105: set_Product_prod_b_b] :
( ( ( ord_le1036320359od_b_b @ SV105 @ SV184 )
= $false )
| ( ( ~ ( ~ ( ord_le1036320359od_b_b @ SV105 @ SV184 )
| ~ ! [SY530: product_prod_b_b] :
( ~ ( member1285940496od_b_b @ SY530 @ SV105 )
| ( member1285940496od_b_b @ SY530 @ SV184 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1096]) ).
thf(1184,plain,
! [SV184: set_Product_prod_b_b,SV105: set_Product_prod_b_b] :
( ( ( ! [SY530: product_prod_b_b] :
( ~ ( member1285940496od_b_b @ SY530 @ SV105 )
| ( member1285940496od_b_b @ SY530 @ SV184 ) ) )
= $false )
| ( ( ~ ( ~ ( ord_le1036320359od_b_b @ SV105 @ SV184 )
| ~ ! [SY530: product_prod_b_b] :
( ~ ( member1285940496od_b_b @ SY530 @ SV105 )
| ( member1285940496od_b_b @ SY530 @ SV184 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1096]) ).
thf(1185,plain,
! [SV107: set_Product_prod_b_b,SV38: produc1168037607od_b_b] :
( ( ( member1285940496od_b_b @ ( sK31_SY449 @ SV38 @ SV107 ) @ SV107 )
= $true )
| ( ( member1652792080od_b_b @ SV38 @ ( id_on_2019020932od_b_b @ SV107 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1097]) ).
thf(1186,plain,
! [SV107: set_Product_prod_b_b,SV38: produc1168037607od_b_b] :
( ( ( SV38
= ( produc546497367od_b_b @ ( sK31_SY449 @ SV38 @ SV107 ) @ ( sK31_SY449 @ SV38 @ SV107 ) ) )
= $true )
| ( ( member1652792080od_b_b @ SV38 @ ( id_on_2019020932od_b_b @ SV107 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1098]) ).
thf(1187,plain,
! [SV152: product_prod_b_b,SV108: set_Product_prod_b_b,SV39: product_prod_b_b] :
( ( ( member1285940496od_b_b @ SV39 @ SV108 )
= $false )
| ( ( member1285940496od_b_b @ SV39 @ ( insert1952693431od_b_b @ SV152 @ SV108 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1099]) ).
thf(1188,plain,
! [SV40: set_Product_prod_b_b,SV109: set_Pr2007082183od_b_b,SV185: product_prod_b_b,SV153: product_prod_b_b] :
( ( ( member1652792080od_b_b @ ( produc546497367od_b_b @ SV153 @ SV185 ) @ SV109 )
= $false )
| ( ( member1285940496od_b_b @ SV153 @ SV40 )
= $true )
| ( ( refl_o2134473190od_b_b @ SV40 @ SV109 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1100]) ).
thf(1189,plain,
! [SV154: set_Product_prod_b_b,SV110: product_prod_b_b,SV41: product_prod_b_b] :
( ( ( SV41 = SV110 )
= $true )
| ( ( member1285940496od_b_b @ SV41 @ SV154 )
= $true )
| ( ( member1285940496od_b_b @ SV41 @ ( insert1952693431od_b_b @ SV110 @ SV154 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1101]) ).
thf(1190,plain,
! [SV43: labeled_graph_a_b,SV186: a,SV156: b,SV112: b] :
( ( ( member1285940496od_b_b @ ( product_Pair_b_b @ SV112 @ SV156 ) @ ( getRel_a_b @ SV186 @ SV43 ) )
= $false )
| ( ( member_b @ SV112 @ ( labeled_vertices_a_b @ SV43 ) )
= $true )
| ( ( SV43
= ( restrict_a_b @ SV43 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1103]) ).
thf(1191,plain,
! [SV44: set_Product_prod_b_b,SV199: product_prod_b_b] :
( ( ( member1285940496od_b_b @ SV199 @ SV44 )
= $false )
| ( ( ~ ( ~ ~ ! [SY329: product_prod_b_b] :
~ ( member1285940496od_b_b @ SY329 @ SV44 )
| ~ ( ( SV44 != bot_bo1343651123od_b_b ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1104]) ).
thf(1192,plain,
! [SV44: set_Product_prod_b_b] :
( ( ( ~ ~ ! [SY329: product_prod_b_b] :
~ ( member1285940496od_b_b @ SY329 @ SV44 ) )
= $false )
| ( ( SV44 = bot_bo1343651123od_b_b )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1105]) ).
thf(1193,plain,
! [SV44: set_Product_prod_b_b] :
( ( ( ~ ( ( SV44 != bot_bo1343651123od_b_b ) ) )
= $false )
| ( ( SV44 = bot_bo1343651123od_b_b )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1105]) ).
thf(1194,plain,
! [SV187: set_Product_prod_b_b,SV114: set_b] :
( ( ( total_on_b @ SV114 @ SV187 )
= $false )
| ( ( ~ ( ~ ( total_on_b @ SV114 @ SV187 )
| ~ ! [SY531: b] :
( ~ ( member_b @ SY531 @ SV114 )
| ! [SY532: b] :
( ~ ( member_b @ SY532 @ SV114 )
| ~ ( ( SY531 != SY532 ) )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SY531 @ SY532 ) @ SV187 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SY532 @ SY531 ) @ SV187 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1107]) ).
thf(1195,plain,
! [SV187: set_Product_prod_b_b,SV114: set_b] :
( ( ( ! [SY531: b] :
( ~ ( member_b @ SY531 @ SV114 )
| ! [SY532: b] :
( ~ ( member_b @ SY532 @ SV114 )
| ~ ( ( SY531 != SY532 ) )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SY531 @ SY532 ) @ SV187 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SY532 @ SY531 ) @ SV187 ) ) ) )
= $false )
| ( ( ~ ( ~ ( total_on_b @ SV114 @ SV187 )
| ~ ! [SY531: b] :
( ~ ( member_b @ SY531 @ SV114 )
| ! [SY532: b] :
( ~ ( member_b @ SY532 @ SV114 )
| ~ ( ( SY531 != SY532 ) )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SY531 @ SY532 ) @ SV187 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SY532 @ SY531 ) @ SV187 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1107]) ).
thf(1196,plain,
! [SV49: labeled_graph_a_b,SV188: a,SV160: b,SV116: b] :
( ( ( member1285940496od_b_b @ ( product_Pair_b_b @ SV116 @ SV160 ) @ ( getRel_a_b @ SV188 @ SV49 ) )
= $false )
| ( ( member_b @ SV160 @ ( labeled_vertices_a_b @ SV49 ) )
= $true )
| ( ( SV49
= ( restrict_a_b @ SV49 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1110]) ).
thf(1197,plain,
! [SV189: b,SV117: b,SV161: b,SV50: b] :
( ( ( SV50 != SV161 )
= $false )
| ( ( ( product_Pair_b_b @ SV50 @ SV117 )
= ( product_Pair_b_b @ SV161 @ SV189 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1111]) ).
thf(1198,plain,
! [SV161: b,SV50: b,SV189: b,SV117: b] :
( ( ( SV117 != SV189 )
= $false )
| ( ( ( product_Pair_b_b @ SV50 @ SV117 )
= ( product_Pair_b_b @ SV161 @ SV189 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1111]) ).
thf(1199,plain,
! [SV162: set_Product_prod_b_b,SV51: product_prod_b_b,SV118: set_Product_prod_b_b] :
( ( ( ~ ( ( ord_le1036320359od_b_b @ SV118 @ ( insert1952693431od_b_b @ SV51 @ SV162 ) )
| ( ord_le1036320359od_b_b @ SV118 @ SV162 ) ) )
= $true )
| ( ( ~ ( ~ ( ord_le1036320359od_b_b @ SV118 @ ( insert1952693431od_b_b @ SV51 @ SV162 ) )
| ~ ( ord_le1036320359od_b_b @ SV118 @ SV162 ) ) )
= $true )
| ( ( member1285940496od_b_b @ SV51 @ SV118 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1112]) ).
thf(1200,plain,
! [SV201: b,SV200: b] :
( ( ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SV200 @ SV201 ) @ ( getRel_a_b @ i @ g ) )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SV201 @ SV200 ) @ ( getRel_a_b @ i @ g ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1114]) ).
thf(1201,plain,
! [SV53: set_Product_prod_b_b] :
( ( ( member1285940496od_b_b @ ( product_Pair_b_b @ ( sK7_SY349 @ SV53 ) @ ( sK19_SY533 @ SV53 ) ) @ SV53 )
= $true )
| ( ( trans_b @ SV53 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1116]) ).
thf(1202,plain,
! [SV53: set_Product_prod_b_b] :
( ( ( ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ ( sK19_SY533 @ SV53 ) @ ( sK33_SY545 @ SV53 ) ) @ SV53 ) )
= $false )
| ( ( trans_b @ SV53 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1117]) ).
thf(1203,plain,
! [SV53: set_Product_prod_b_b] :
( ( ( member1285940496od_b_b @ ( product_Pair_b_b @ ( sK7_SY349 @ SV53 ) @ ( sK33_SY545 @ SV53 ) ) @ SV53 )
= $false )
| ( ( trans_b @ SV53 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1117]) ).
thf(1204,plain,
! [SV54: set_Product_prod_b_b,SV120: set_Pr2007082183od_b_b] :
( ( ( member1285940496od_b_b @ ( sK20_SY468 @ SV120 @ SV54 ) @ SV54 )
= $true )
| ( ( total_178717291od_b_b @ SV54 @ SV120 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1118]) ).
thf(1205,plain,
! [SV120: set_Pr2007082183od_b_b,SV54: set_Product_prod_b_b] :
( ( ( ~ ( member1285940496od_b_b @ ( sK34_SY546 @ SV54 @ SV120 ) @ SV54 ) )
= $false )
| ( ( total_178717291od_b_b @ SV54 @ SV120 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1119]) ).
thf(1206,plain,
! [SV54: set_Product_prod_b_b,SV120: set_Pr2007082183od_b_b] :
( ( ( ~ ( ( ( sK20_SY468 @ SV120 @ SV54 )
!= ( sK34_SY546 @ SV54 @ SV120 ) ) )
| ( member1652792080od_b_b @ ( produc546497367od_b_b @ ( sK20_SY468 @ SV120 @ SV54 ) @ ( sK34_SY546 @ SV54 @ SV120 ) ) @ SV120 )
| ( member1652792080od_b_b @ ( produc546497367od_b_b @ ( sK34_SY546 @ SV54 @ SV120 ) @ ( sK20_SY468 @ SV120 @ SV54 ) ) @ SV120 ) )
= $false )
| ( ( total_178717291od_b_b @ SV54 @ SV120 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1119]) ).
thf(1207,plain,
! [SV164: set_b,SV123: b,SV57: b] :
( ( ( ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SV57 @ SV123 ) @ ( id_on_b @ SV164 ) )
| ~ ~ ( ( SV57 != SV123 )
| ~ ( member_b @ SV57 @ SV164 ) ) )
= $false )
| ( ( member1285940496od_b_b @ ( product_Pair_b_b @ SV57 @ SV123 ) @ ( id_on_b @ SV164 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1121]) ).
thf(1208,plain,
! [SV164: set_b,SV123: b,SV57: b] :
( ( ( ( SV57 != SV123 )
| ~ ( member_b @ SV57 @ SV164 ) )
= $true )
| ( ( ~ ( ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SV57 @ SV123 ) @ ( id_on_b @ SV164 ) )
| ~ ~ ( ( SV57 != SV123 )
| ~ ( member_b @ SV57 @ SV164 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1122]) ).
thf(1209,plain,
! [SV58: b > $o,SV124: b,SV198: b > set_Product_prod_b_b,SV190: b,SV165: b] :
( ( ( ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SV165 @ SV190 ) @ ( SV198 @ SV124 ) ) )
= $true )
| ( ( member1652792080od_b_b @ ( produc546497367od_b_b @ ( product_Pair_b_b @ SV124 @ SV165 ) @ ( product_Pair_b_b @ SV124 @ SV190 ) ) @ ( same_fst_b_b @ SV58 @ SV198 ) )
= $true )
| ( ( SV58 @ SV124 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1123]) ).
thf(1210,plain,
! [SV167: set_Product_prod_b_b,SV126: product_prod_b_b,SV60: product_prod_b_b] :
( ( ( ~ ( member1652792080od_b_b @ ( produc546497367od_b_b @ SV60 @ SV126 ) @ ( id_on_2019020932od_b_b @ SV167 ) )
| ~ ~ ( ( SV60 != SV126 )
| ~ ( member1285940496od_b_b @ SV60 @ SV167 ) ) )
= $false )
| ( ( member1652792080od_b_b @ ( produc546497367od_b_b @ SV60 @ SV126 ) @ ( id_on_2019020932od_b_b @ SV167 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1125]) ).
thf(1211,plain,
! [SV167: set_Product_prod_b_b,SV126: product_prod_b_b,SV60: product_prod_b_b] :
( ( ( ( SV60 != SV126 )
| ~ ( member1285940496od_b_b @ SV60 @ SV167 ) )
= $true )
| ( ( ~ ( ~ ( member1652792080od_b_b @ ( produc546497367od_b_b @ SV60 @ SV126 ) @ ( id_on_2019020932od_b_b @ SV167 ) )
| ~ ~ ( ( SV60 != SV126 )
| ~ ( member1285940496od_b_b @ SV60 @ SV167 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1126]) ).
thf(1212,plain,
! [SV61: set_b,SV127: set_Product_prod_b_b,SV191: b,SV168: b] :
( ( ( member1285940496od_b_b @ ( product_Pair_b_b @ SV168 @ SV191 ) @ SV127 )
= $false )
| ( ( member_b @ SV191 @ SV61 )
= $true )
| ( ( refl_on_b @ SV61 @ SV127 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1127]) ).
thf(1213,plain,
! [SV62: set_Product_prod_b_b] :
( ( ( ~ ( member1285940496od_b_b @ ( sK42_SY373 @ SV62 ) @ SV62 )
| ~ ( member1285940496od_b_b @ ( sK45_SY555 @ SV62 ) @ SV62 )
| ( ( sK42_SY373 @ SV62 )
= ( sK45_SY555 @ SV62 ) ) )
= $false )
| ( ( is_sin1713057243od_b_b @ SV62 )
= $true )
| ( ( SV62 = bot_bo1343651123od_b_b )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1128]) ).
thf(1214,plain,
! [SV68: set_b,SV129: set_Product_prod_b_b,SV192: b,SV170: b] :
( ( ( member1285940496od_b_b @ ( product_Pair_b_b @ SV170 @ SV192 ) @ SV129 )
= $false )
| ( ( ~ ( ~ ( member_b @ SV170 @ SV68 )
| ~ ( member_b @ SV192 @ SV68 ) ) )
= $true )
| ( ( refl_on_b @ SV68 @ SV129 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1131]) ).
thf(1215,plain,
! [SV171: set_Product_prod_b_b,SV69: b,SV130: b,SV193: b] :
( ( ( SV193 = SV130 )
= $false )
| ( ( member1285940496od_b_b @ ( product_Pair_b_b @ SV69 @ SV193 ) @ SV171 )
= $true )
| ( ( member1285940496od_b_b @ ( product_Pair_b_b @ SV69 @ SV130 ) @ SV171 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1132]) ).
thf(1216,plain,
! [SV131: set_Product_prod_b_b,SV70: product_prod_b_b,SV194: set_Product_prod_b_b,SV172: product_prod_b_b] :
( ( ( ~ ~ ( member1285940496od_b_b @ SV172 @ SV194 ) )
= $true )
| ( ( ( ( insert1952693431od_b_b @ SV70 @ SV131 )
= ( insert1952693431od_b_b @ SV172 @ SV194 ) )
= ( ~ ( ~ ( ( SV70 != SV172 )
| ( SV131 = SV194 ) )
| ~ ( ~ ( ( SV70 != SV172 ) )
| ~ ! [SY538: set_Product_prod_b_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV131
!= ( insert1952693431od_b_b @ SV172 @ SY538 ) )
| ~ ~ ( member1285940496od_b_b @ SV172 @ SY538 ) )
| ( SV194
!= ( insert1952693431od_b_b @ SV70 @ SY538 ) ) )
| ~ ~ ( member1285940496od_b_b @ SV70 @ SY538 ) ) ) ) ) )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1133]) ).
thf(1217,plain,
! [SV132: set_Product_prod_b_b,SV173: set_Product_prod_b_b,SV71: product_prod_b_b] :
( ( ( ~ ( member1285940496od_b_b @ SV71 @ SV173 ) )
= $false )
| ( ( ( ( insert1952693431od_b_b @ SV71 @ SV132 )
= ( insert1952693431od_b_b @ SV71 @ SV173 ) )
= ( SV132 = SV173 ) )
= $true )
| ( ( member1285940496od_b_b @ SV71 @ SV132 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1134]) ).
thf(1218,plain,
! [SV73: set_Product_prod_b_b,SV134: set_Pr2007082183od_b_b,SV195: product_prod_b_b,SV174: product_prod_b_b] :
( ( ( member1652792080od_b_b @ ( produc546497367od_b_b @ SV174 @ SV195 ) @ SV134 )
= $false )
| ( ( ~ ( ~ ( member1285940496od_b_b @ SV174 @ SV73 )
| ~ ( member1285940496od_b_b @ SV195 @ SV73 ) ) )
= $true )
| ( ( refl_o2134473190od_b_b @ SV73 @ SV134 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1135]) ).
thf(1219,plain,
! [SV75: product_prod_b_b,SV136: set_Product_prod_b_b] :
( ( ( ( SV136
!= ( insert1952693431od_b_b @ SV75 @ ( sK36_SY493 @ SV75 @ SV136 ) ) )
| ~ ~ ( member1285940496od_b_b @ SV75 @ ( sK36_SY493 @ SV75 @ SV136 ) ) )
= $false )
| ( ( member1285940496od_b_b @ SV75 @ SV136 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1137]) ).
thf(1220,plain,
! [SV196: b,SV76: set_Product_prod_b_b,SV176: b,SV137: b] :
( ( ( member1285940496od_b_b @ ( product_Pair_b_b @ SV137 @ SV176 ) @ SV76 )
= $false )
| ( ( ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SV176 @ SV196 ) @ SV76 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SV137 @ SV196 ) @ SV76 ) )
= $true )
| ( ( trans_b @ SV76 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1138]) ).
thf(1221,plain,
! [SV77: product_prod_b_b,SV138: set_Product_prod_b_b] :
( ( ( SV138
= ( insert1952693431od_b_b @ SV77 @ ( sK37_SY496 @ SV77 @ SV138 ) ) )
= $true )
| ( ( member1285940496od_b_b @ SV77 @ SV138 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1139]) ).
thf(1222,plain,
! [SV78: product_prod_b_b > $o,SV1: product_prod_b_b] :
( ( ( member1285940496od_b_b @ SV1 @ ( collec1481886546od_b_b @ SV78 ) )
= $true )
| ( ( member1285940496od_b_b @ SV1 @ ( collec1481886546od_b_b @ SV78 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1141]) ).
thf(1223,plain,
! [SV1: product_prod_b_b,SV78: product_prod_b_b > $o] :
( ( ( SV78 @ SV1 )
= $true )
| ( ( member1285940496od_b_b @ SV1 @ ( collec1481886546od_b_b @ SV78 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1142]) ).
thf(1224,plain,
! [SV78: product_prod_b_b > $o,SV1: product_prod_b_b] :
( ( ( member1285940496od_b_b @ SV1 @ ( collec1481886546od_b_b @ SV78 ) )
= $true )
| ( ( SV78 @ SV1 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1143]) ).
thf(1225,plain,
! [SV1: product_prod_b_b,SV78: product_prod_b_b > $o] :
( ( ( SV78 @ SV1 )
= $true )
| ( ( SV78 @ SV1 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1144]) ).
thf(1226,plain,
! [SV139: set_Product_prod_b_b,SV79: product_prod_b_b,SV5: product_prod_b_b] :
( ( ( ~ ( member1285940496od_b_b @ SV5 @ ( insert1952693431od_b_b @ SV79 @ SV139 ) ) )
= $false )
| ( ( member1285940496od_b_b @ SV5 @ ( insert1952693431od_b_b @ SV79 @ SV139 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1145]) ).
thf(1227,plain,
! [SV139: set_Product_prod_b_b,SV79: product_prod_b_b,SV5: product_prod_b_b] :
( ( ( ~ ( ( SV5 = SV79 )
| ( member1285940496od_b_b @ SV5 @ SV139 ) ) )
= $false )
| ( ( member1285940496od_b_b @ SV5 @ ( insert1952693431od_b_b @ SV79 @ SV139 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1145]) ).
thf(1228,plain,
! [SV139: set_Product_prod_b_b,SV79: product_prod_b_b,SV5: product_prod_b_b] :
( ( ( ~ ( member1285940496od_b_b @ SV5 @ ( insert1952693431od_b_b @ SV79 @ SV139 ) )
| ~ ( ( SV5 = SV79 )
| ( member1285940496od_b_b @ SV5 @ SV139 ) ) )
= $false )
| ( ( SV5 = SV79 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1146]) ).
thf(1229,plain,
! [SV139: set_Product_prod_b_b,SV79: product_prod_b_b,SV5: product_prod_b_b] :
( ( ( ~ ( member1285940496od_b_b @ SV5 @ ( insert1952693431od_b_b @ SV79 @ SV139 ) )
| ~ ( ( SV5 = SV79 )
| ( member1285940496od_b_b @ SV5 @ SV139 ) ) )
= $false )
| ( ( member1285940496od_b_b @ SV5 @ SV139 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1147]) ).
thf(1230,plain,
! [SV7: set_Product_prod_b_b] :
( ( ( ~ ! [SY248: product_prod_b_b] :
~ ( member1285940496od_b_b @ SY248 @ SV7 ) )
= $false )
| ( ( member1285940496od_b_b @ ( sK24_SY248 @ SV7 ) @ SV7 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1148]) ).
thf(1231,plain,
! [SV7: set_Product_prod_b_b] :
( ( ( SV7 != bot_bo1343651123od_b_b )
= $false )
| ( ( member1285940496od_b_b @ ( sK24_SY248 @ SV7 ) @ SV7 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1148]) ).
thf(1232,plain,
! [SV7: set_Product_prod_b_b,SV202: product_prod_b_b] :
( ( ( ~ ( member1285940496od_b_b @ SV202 @ SV7 ) )
= $true )
| ( ( SV7 = bot_bo1343651123od_b_b )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1149]) ).
thf(1233,plain,
! [SV81: product_prod_b_b,SV10: product_prod_b_b] :
( ( ( member1285940496od_b_b @ SV10 @ ( insert1952693431od_b_b @ SV81 @ bot_bo1343651123od_b_b ) )
= $true )
| ( ( member1285940496od_b_b @ SV10 @ ( insert1952693431od_b_b @ SV81 @ bot_bo1343651123od_b_b ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1151]) ).
thf(1234,plain,
! [SV81: product_prod_b_b,SV10: product_prod_b_b] :
( ( ( SV10 = SV81 )
= $true )
| ( ( member1285940496od_b_b @ SV10 @ ( insert1952693431od_b_b @ SV81 @ bot_bo1343651123od_b_b ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1152]) ).
thf(1235,plain,
! [SV81: product_prod_b_b,SV10: product_prod_b_b] :
( ( ( member1285940496od_b_b @ SV10 @ ( insert1952693431od_b_b @ SV81 @ bot_bo1343651123od_b_b ) )
= $true )
| ( ( SV10 = SV81 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1153]) ).
thf(1236,plain,
! [SV81: product_prod_b_b,SV10: product_prod_b_b] :
( ( ( SV10 = SV81 )
= $true )
| ( ( SV10 = SV81 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1154]) ).
thf(1237,plain,
! [SV82: product_prod_b_b] :
( ( ( bot_bo1302443370_b_b_o @ SV82 )
= $true )
| ( ( bot_bo1302443370_b_b_o @ SV82 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1155]) ).
thf(1238,plain,
! [SV82: product_prod_b_b] :
( ( ( member1285940496od_b_b @ SV82 @ bot_bo1343651123od_b_b )
= $true )
| ( ( bot_bo1302443370_b_b_o @ SV82 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1156]) ).
thf(1239,plain,
! [SV82: product_prod_b_b] :
( ( ( bot_bo1302443370_b_b_o @ SV82 )
= $true )
| ( ( member1285940496od_b_b @ SV82 @ bot_bo1343651123od_b_b )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1157]) ).
thf(1240,plain,
! [SV82: product_prod_b_b] :
( ( ( member1285940496od_b_b @ SV82 @ bot_bo1343651123od_b_b )
= $true )
| ( ( member1285940496od_b_b @ SV82 @ bot_bo1343651123od_b_b )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1158]) ).
thf(1241,plain,
! [SV88: set_Product_prod_b_b] :
( ( ( trans_b @ SV88 )
= $true )
| ( ( trans_b @ SV88 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1163]) ).
thf(1242,plain,
! [SV88: set_Product_prod_b_b] :
( ( ( ! [SY416: b,SY417: b,SY418: b] :
( ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SY416 @ SY417 ) @ SV88 )
| ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SY417 @ SY418 ) @ SV88 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SY416 @ SY418 ) @ SV88 ) ) )
= $true )
| ( ( trans_b @ SV88 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1164]) ).
thf(1243,plain,
! [SV88: set_Product_prod_b_b] :
( ( ( ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ ( sK38_SY416 @ SV88 ) @ ( sK43_SY551 @ SV88 ) ) @ SV88 )
| ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ ( sK43_SY551 @ SV88 ) @ ( sK46_SY556 @ SV88 ) ) @ SV88 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ ( sK38_SY416 @ SV88 ) @ ( sK46_SY556 @ SV88 ) ) @ SV88 ) )
= $false )
| ( ( ~ ( ~ ( trans_b @ SV88 )
| ~ ! [SY416: b,SY417: b,SY418: b] :
( ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SY416 @ SY417 ) @ SV88 )
| ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SY417 @ SY418 ) @ SV88 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SY416 @ SY418 ) @ SV88 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1165]) ).
thf(1244,plain,
! [SV90: set_Product_prod_b_b,SV20: set_b] :
( ( ( member_b @ ( sK27_SY540 @ SV20 @ SV90 ) @ SV20 )
= $true )
| ( ( total_on_b @ SV20 @ SV90 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1167]) ).
thf(1245,plain,
! [SV20: set_b,SV90: set_Product_prod_b_b] :
( ( ( ~ ( ( ( sK13_SY421 @ SV90 @ SV20 )
!= ( sK27_SY540 @ SV20 @ SV90 ) ) ) )
= $false )
| ( ( total_on_b @ SV20 @ SV90 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1168]) ).
thf(1246,plain,
! [SV20: set_b,SV90: set_Product_prod_b_b] :
( ( ( ( member1285940496od_b_b @ ( product_Pair_b_b @ ( sK13_SY421 @ SV90 @ SV20 ) @ ( sK27_SY540 @ SV20 @ SV90 ) ) @ SV90 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ ( sK27_SY540 @ SV20 @ SV90 ) @ ( sK13_SY421 @ SV90 @ SV20 ) ) @ SV90 ) )
= $false )
| ( ( total_on_b @ SV20 @ SV90 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1168]) ).
thf(1247,plain,
! [SV143: set_Product_prod_b_b,SV93: set_Product_prod_b_b,SV23: product_prod_b_b] :
( ( ( ~ ( ord_le1036320359od_b_b @ ( insert1952693431od_b_b @ SV23 @ SV93 ) @ SV143 ) )
= $false )
| ( ( ord_le1036320359od_b_b @ ( insert1952693431od_b_b @ SV23 @ SV93 ) @ SV143 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1170]) ).
thf(1248,plain,
! [SV93: set_Product_prod_b_b,SV143: set_Product_prod_b_b,SV23: product_prod_b_b] :
( ( ( ~ ~ ( ~ ( member1285940496od_b_b @ SV23 @ SV143 )
| ~ ( ord_le1036320359od_b_b @ SV93 @ SV143 ) ) )
= $false )
| ( ( ord_le1036320359od_b_b @ ( insert1952693431od_b_b @ SV23 @ SV93 ) @ SV143 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1170]) ).
thf(1249,plain,
! [SV93: set_Product_prod_b_b,SV143: set_Product_prod_b_b,SV23: product_prod_b_b] :
( ( ( ~ ( member1285940496od_b_b @ SV23 @ SV143 ) )
= $true )
| ( ( ~ ( ord_le1036320359od_b_b @ SV93 @ SV143 ) )
= $true )
| ( ( ~ ( ~ ( ord_le1036320359od_b_b @ ( insert1952693431od_b_b @ SV23 @ SV93 ) @ SV143 )
| ~ ~ ( ~ ( member1285940496od_b_b @ SV23 @ SV143 )
| ~ ( ord_le1036320359od_b_b @ SV93 @ SV143 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1171]) ).
thf(1250,plain,
! [SV179: b,SV144: b,SV94: b,SV24: b] :
( ( ( ( ( product_Pair_b_b @ SV24 @ SV94 )
!= ( product_Pair_b_b @ SV144 @ SV179 ) )
| ~ ~ ( ( SV24 != SV144 )
| ( SV94 != SV179 ) ) )
= $false )
| ( ( ( product_Pair_b_b @ SV24 @ SV94 )
= ( product_Pair_b_b @ SV144 @ SV179 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1172]) ).
thf(1251,plain,
! [SV179: b,SV94: b,SV144: b,SV24: b] :
( ( ( ( SV24 != SV144 )
| ( SV94 != SV179 ) )
= $true )
| ( ( ~ ( ( ( product_Pair_b_b @ SV24 @ SV94 )
!= ( product_Pair_b_b @ SV144 @ SV179 ) )
| ~ ~ ( ( SV24 != SV144 )
| ( SV94 != SV179 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1173]) ).
thf(1252,plain,
! [SV145: a,SV95: b,SV25: b,SV197: labeled_graph_a_b,SV180: labeled_graph_a_b] :
( ( ( graph_1322245399_a_b_b @ SV180 @ SV197 @ ( id_on_b @ ( labeled_vertices_a_b @ SV180 ) ) )
= $false )
| ( ( member1285940496od_b_b @ ( product_Pair_b_b @ SV25 @ SV95 ) @ ( getRel_a_b @ SV145 @ SV197 ) )
= $true )
| ( ( member1285940496od_b_b @ ( product_Pair_b_b @ SV25 @ SV95 ) @ ( getRel_a_b @ SV145 @ SV180 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1174]) ).
thf(1253,plain,
! [SV99: b,SV30: set_Product_prod_b_b,SV181: b,SV148: b] :
( ( ( ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SV148 @ SV181 ) @ SV30 ) )
= $true )
| ( ( member1285940496od_b_b @ ( product_Pair_b_b @ SV99 @ SV181 ) @ SV30 )
= $true )
| ( ( member1285940496od_b_b @ ( product_Pair_b_b @ SV99 @ SV148 ) @ SV30 )
= $false )
| ( ( trans_b @ SV30 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1175]) ).
thf(1254,plain,
! [SV182: b,SV149: b,SV100: b,SV31: b] :
( ( ( ( ( product_Pair_b_b @ SV31 @ SV100 )
!= ( product_Pair_b_b @ SV149 @ SV182 ) )
| ~ ~ ( ( SV31 != SV149 )
| ( SV100 != SV182 ) ) )
= $false )
| ( ( ( product_Pair_b_b @ SV31 @ SV100 )
= ( product_Pair_b_b @ SV149 @ SV182 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1176]) ).
thf(1255,plain,
! [SV182: b,SV100: b,SV149: b,SV31: b] :
( ( ( ( SV31 != SV149 )
| ( SV100 != SV182 ) )
= $true )
| ( ( ~ ( ( ( product_Pair_b_b @ SV31 @ SV100 )
!= ( product_Pair_b_b @ SV149 @ SV182 ) )
| ~ ~ ( ( SV31 != SV149 )
| ( SV100 != SV182 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1177]) ).
thf(1256,plain,
! [SV102: set_Product_prod_b_b] :
( ( ( sym_b @ SV102 )
= $true )
| ( ( sym_b @ SV102 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1178]) ).
thf(1257,plain,
! [SV102: set_Product_prod_b_b] :
( ( ( ! [SY440: b,SY441: b] :
( ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SY440 @ SY441 ) @ SV102 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SY441 @ SY440 ) @ SV102 ) ) )
= $true )
| ( ( sym_b @ SV102 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1179]) ).
thf(1258,plain,
! [SV102: set_Product_prod_b_b] :
( ( ( ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ ( sK39_SY440 @ SV102 ) @ ( sK44_SY553 @ SV102 ) ) @ SV102 ) )
= $false )
| ( ( ~ ( ~ ( sym_b @ SV102 )
| ~ ! [SY440: b,SY441: b] :
( ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SY440 @ SY441 ) @ SV102 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SY441 @ SY440 ) @ SV102 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1180]) ).
thf(1259,plain,
! [SV102: set_Product_prod_b_b] :
( ( ( member1285940496od_b_b @ ( product_Pair_b_b @ ( sK44_SY553 @ SV102 ) @ ( sK39_SY440 @ SV102 ) ) @ SV102 )
= $false )
| ( ( ~ ( ~ ( sym_b @ SV102 )
| ~ ! [SY440: b,SY441: b] :
( ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SY440 @ SY441 ) @ SV102 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SY441 @ SY440 ) @ SV102 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1180]) ).
thf(1260,plain,
! [SV183: set_Product_prod_b_b,SV104: set_Product_prod_b_b] :
( ( ( ~ ( ord_le1036320359od_b_b @ SV104 @ SV183 )
| ~ ! [SY529: product_prod_b_b] :
( ~ ( member1285940496od_b_b @ SY529 @ SV104 )
| ( member1285940496od_b_b @ SY529 @ SV183 ) ) )
= $false )
| ( ( ord_le1036320359od_b_b @ SV104 @ SV183 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1181]) ).
thf(1261,plain,
! [SV104: set_Product_prod_b_b,SV183: set_Product_prod_b_b] :
( ( ( ~ ( member1285940496od_b_b @ ( sK47_SY529 @ SV183 @ SV104 ) @ SV104 )
| ( member1285940496od_b_b @ ( sK47_SY529 @ SV183 @ SV104 ) @ SV183 ) )
= $false )
| ( ( ~ ( ~ ( ord_le1036320359od_b_b @ SV104 @ SV183 )
| ~ ! [SY529: product_prod_b_b] :
( ~ ( member1285940496od_b_b @ SY529 @ SV104 )
| ( member1285940496od_b_b @ SY529 @ SV183 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1182]) ).
thf(1262,plain,
! [SV184: set_Product_prod_b_b,SV105: set_Product_prod_b_b] :
( ( ( ~ ( ord_le1036320359od_b_b @ SV105 @ SV184 )
| ~ ! [SY530: product_prod_b_b] :
( ~ ( member1285940496od_b_b @ SY530 @ SV105 )
| ( member1285940496od_b_b @ SY530 @ SV184 ) ) )
= $false )
| ( ( ord_le1036320359od_b_b @ SV105 @ SV184 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1183]) ).
thf(1263,plain,
! [SV105: set_Product_prod_b_b,SV184: set_Product_prod_b_b] :
( ( ( ~ ( member1285940496od_b_b @ ( sK48_SY530 @ SV184 @ SV105 ) @ SV105 )
| ( member1285940496od_b_b @ ( sK48_SY530 @ SV184 @ SV105 ) @ SV184 ) )
= $false )
| ( ( ~ ( ~ ( ord_le1036320359od_b_b @ SV105 @ SV184 )
| ~ ! [SY530: product_prod_b_b] :
( ~ ( member1285940496od_b_b @ SY530 @ SV105 )
| ( member1285940496od_b_b @ SY530 @ SV184 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1184]) ).
thf(1264,plain,
! [SV199: product_prod_b_b,SV44: set_Product_prod_b_b] :
( ( ( ~ ~ ! [SY329: product_prod_b_b] :
~ ( member1285940496od_b_b @ SY329 @ SV44 )
| ~ ( ( SV44 != bot_bo1343651123od_b_b ) ) )
= $false )
| ( ( member1285940496od_b_b @ SV199 @ SV44 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1191]) ).
thf(1265,plain,
! [SV44: set_Product_prod_b_b] :
( ( ( ~ ! [SY329: product_prod_b_b] :
~ ( member1285940496od_b_b @ SY329 @ SV44 ) )
= $true )
| ( ( SV44 = bot_bo1343651123od_b_b )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1192]) ).
thf(1266,plain,
! [SV44: set_Product_prod_b_b] :
( ( ( SV44 != bot_bo1343651123od_b_b )
= $true )
| ( ( SV44 = bot_bo1343651123od_b_b )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1193]) ).
thf(1267,plain,
! [SV187: set_Product_prod_b_b,SV114: set_b] :
( ( ( ~ ( total_on_b @ SV114 @ SV187 )
| ~ ! [SY531: b] :
( ~ ( member_b @ SY531 @ SV114 )
| ! [SY532: b] :
( ~ ( member_b @ SY532 @ SV114 )
| ~ ( ( SY531 != SY532 ) )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SY531 @ SY532 ) @ SV187 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SY532 @ SY531 ) @ SV187 ) ) ) )
= $false )
| ( ( total_on_b @ SV114 @ SV187 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1194]) ).
thf(1268,plain,
! [SV114: set_b,SV187: set_Product_prod_b_b] :
( ( ( ~ ( member_b @ ( sK49_SY531 @ SV187 @ SV114 ) @ SV114 )
| ! [SY557: b] :
( ~ ( member_b @ SY557 @ SV114 )
| ~ ( ( ( sK49_SY531 @ SV187 @ SV114 )
!= SY557 ) )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ ( sK49_SY531 @ SV187 @ SV114 ) @ SY557 ) @ SV187 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SY557 @ ( sK49_SY531 @ SV187 @ SV114 ) ) @ SV187 ) ) )
= $false )
| ( ( ~ ( ~ ( total_on_b @ SV114 @ SV187 )
| ~ ! [SY531: b] :
( ~ ( member_b @ SY531 @ SV114 )
| ! [SY532: b] :
( ~ ( member_b @ SY532 @ SV114 )
| ~ ( ( SY531 != SY532 ) )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SY531 @ SY532 ) @ SV187 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SY532 @ SY531 ) @ SV187 ) ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1195]) ).
thf(1269,plain,
! [SV189: b,SV117: b,SV161: b,SV50: b] :
( ( ( SV50 = SV161 )
= $true )
| ( ( ( product_Pair_b_b @ SV50 @ SV117 )
= ( product_Pair_b_b @ SV161 @ SV189 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1197]) ).
thf(1270,plain,
! [SV161: b,SV50: b,SV189: b,SV117: b] :
( ( ( SV117 = SV189 )
= $true )
| ( ( ( product_Pair_b_b @ SV50 @ SV117 )
= ( product_Pair_b_b @ SV161 @ SV189 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1198]) ).
thf(1271,plain,
! [SV162: set_Product_prod_b_b,SV51: product_prod_b_b,SV118: set_Product_prod_b_b] :
( ( ( ( ord_le1036320359od_b_b @ SV118 @ ( insert1952693431od_b_b @ SV51 @ SV162 ) )
| ( ord_le1036320359od_b_b @ SV118 @ SV162 ) )
= $false )
| ( ( ~ ( ~ ( ord_le1036320359od_b_b @ SV118 @ ( insert1952693431od_b_b @ SV51 @ SV162 ) )
| ~ ( ord_le1036320359od_b_b @ SV118 @ SV162 ) ) )
= $true )
| ( ( member1285940496od_b_b @ SV51 @ SV118 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1199]) ).
thf(1272,plain,
! [SV201: b,SV200: b] :
( ( ( ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SV200 @ SV201 ) @ ( getRel_a_b @ i @ g ) ) )
= $true )
| ( ( member1285940496od_b_b @ ( product_Pair_b_b @ SV201 @ SV200 ) @ ( getRel_a_b @ i @ g ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1200]) ).
thf(1273,plain,
! [SV53: set_Product_prod_b_b] :
( ( ( member1285940496od_b_b @ ( product_Pair_b_b @ ( sK19_SY533 @ SV53 ) @ ( sK33_SY545 @ SV53 ) ) @ SV53 )
= $true )
| ( ( trans_b @ SV53 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1202]) ).
thf(1274,plain,
! [SV120: set_Pr2007082183od_b_b,SV54: set_Product_prod_b_b] :
( ( ( member1285940496od_b_b @ ( sK34_SY546 @ SV54 @ SV120 ) @ SV54 )
= $true )
| ( ( total_178717291od_b_b @ SV54 @ SV120 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1205]) ).
thf(1275,plain,
! [SV54: set_Product_prod_b_b,SV120: set_Pr2007082183od_b_b] :
( ( ( ~ ( ( ( sK20_SY468 @ SV120 @ SV54 )
!= ( sK34_SY546 @ SV54 @ SV120 ) ) ) )
= $false )
| ( ( total_178717291od_b_b @ SV54 @ SV120 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1206]) ).
thf(1276,plain,
! [SV54: set_Product_prod_b_b,SV120: set_Pr2007082183od_b_b] :
( ( ( ( member1652792080od_b_b @ ( produc546497367od_b_b @ ( sK20_SY468 @ SV120 @ SV54 ) @ ( sK34_SY546 @ SV54 @ SV120 ) ) @ SV120 )
| ( member1652792080od_b_b @ ( produc546497367od_b_b @ ( sK34_SY546 @ SV54 @ SV120 ) @ ( sK20_SY468 @ SV120 @ SV54 ) ) @ SV120 ) )
= $false )
| ( ( total_178717291od_b_b @ SV54 @ SV120 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1206]) ).
thf(1277,plain,
! [SV164: set_b,SV123: b,SV57: b] :
( ( ( ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SV57 @ SV123 ) @ ( id_on_b @ SV164 ) ) )
= $false )
| ( ( member1285940496od_b_b @ ( product_Pair_b_b @ SV57 @ SV123 ) @ ( id_on_b @ SV164 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1207]) ).
thf(1278,plain,
! [SV164: set_b,SV123: b,SV57: b] :
( ( ( ~ ~ ( ( SV57 != SV123 )
| ~ ( member_b @ SV57 @ SV164 ) ) )
= $false )
| ( ( member1285940496od_b_b @ ( product_Pair_b_b @ SV57 @ SV123 ) @ ( id_on_b @ SV164 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1207]) ).
thf(1279,plain,
! [SV164: set_b,SV123: b,SV57: b] :
( ( ( SV57 != SV123 )
= $true )
| ( ( ~ ( member_b @ SV57 @ SV164 ) )
= $true )
| ( ( ~ ( ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SV57 @ SV123 ) @ ( id_on_b @ SV164 ) )
| ~ ~ ( ( SV57 != SV123 )
| ~ ( member_b @ SV57 @ SV164 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1208]) ).
thf(1280,plain,
! [SV58: b > $o,SV124: b,SV198: b > set_Product_prod_b_b,SV190: b,SV165: b] :
( ( ( member1285940496od_b_b @ ( product_Pair_b_b @ SV165 @ SV190 ) @ ( SV198 @ SV124 ) )
= $false )
| ( ( member1652792080od_b_b @ ( produc546497367od_b_b @ ( product_Pair_b_b @ SV124 @ SV165 ) @ ( product_Pair_b_b @ SV124 @ SV190 ) ) @ ( same_fst_b_b @ SV58 @ SV198 ) )
= $true )
| ( ( SV58 @ SV124 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1209]) ).
thf(1281,plain,
! [SV167: set_Product_prod_b_b,SV126: product_prod_b_b,SV60: product_prod_b_b] :
( ( ( ~ ( member1652792080od_b_b @ ( produc546497367od_b_b @ SV60 @ SV126 ) @ ( id_on_2019020932od_b_b @ SV167 ) ) )
= $false )
| ( ( member1652792080od_b_b @ ( produc546497367od_b_b @ SV60 @ SV126 ) @ ( id_on_2019020932od_b_b @ SV167 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1210]) ).
thf(1282,plain,
! [SV167: set_Product_prod_b_b,SV126: product_prod_b_b,SV60: product_prod_b_b] :
( ( ( ~ ~ ( ( SV60 != SV126 )
| ~ ( member1285940496od_b_b @ SV60 @ SV167 ) ) )
= $false )
| ( ( member1652792080od_b_b @ ( produc546497367od_b_b @ SV60 @ SV126 ) @ ( id_on_2019020932od_b_b @ SV167 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1210]) ).
thf(1283,plain,
! [SV167: set_Product_prod_b_b,SV126: product_prod_b_b,SV60: product_prod_b_b] :
( ( ( SV60 != SV126 )
= $true )
| ( ( ~ ( member1285940496od_b_b @ SV60 @ SV167 ) )
= $true )
| ( ( ~ ( ~ ( member1652792080od_b_b @ ( produc546497367od_b_b @ SV60 @ SV126 ) @ ( id_on_2019020932od_b_b @ SV167 ) )
| ~ ~ ( ( SV60 != SV126 )
| ~ ( member1285940496od_b_b @ SV60 @ SV167 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1211]) ).
thf(1284,plain,
! [SV62: set_Product_prod_b_b] :
( ( ( ~ ( member1285940496od_b_b @ ( sK42_SY373 @ SV62 ) @ SV62 ) )
= $false )
| ( ( is_sin1713057243od_b_b @ SV62 )
= $true )
| ( ( SV62 = bot_bo1343651123od_b_b )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1213]) ).
thf(1285,plain,
! [SV62: set_Product_prod_b_b] :
( ( ( ~ ( member1285940496od_b_b @ ( sK45_SY555 @ SV62 ) @ SV62 )
| ( ( sK42_SY373 @ SV62 )
= ( sK45_SY555 @ SV62 ) ) )
= $false )
| ( ( is_sin1713057243od_b_b @ SV62 )
= $true )
| ( ( SV62 = bot_bo1343651123od_b_b )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1213]) ).
thf(1286,plain,
! [SV129: set_Product_prod_b_b,SV192: b,SV68: set_b,SV170: b] :
( ( ( ~ ( member_b @ SV170 @ SV68 )
| ~ ( member_b @ SV192 @ SV68 ) )
= $false )
| ( ( member1285940496od_b_b @ ( product_Pair_b_b @ SV170 @ SV192 ) @ SV129 )
= $false )
| ( ( refl_on_b @ SV68 @ SV129 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1214]) ).
thf(1287,plain,
! [SV131: set_Product_prod_b_b,SV70: product_prod_b_b,SV194: set_Product_prod_b_b,SV172: product_prod_b_b] :
( ( ( ~ ( member1285940496od_b_b @ SV172 @ SV194 ) )
= $false )
| ( ( ( ( insert1952693431od_b_b @ SV70 @ SV131 )
= ( insert1952693431od_b_b @ SV172 @ SV194 ) )
= ( ~ ( ~ ( ( SV70 != SV172 )
| ( SV131 = SV194 ) )
| ~ ( ~ ( ( SV70 != SV172 ) )
| ~ ! [SY538: set_Product_prod_b_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV131
!= ( insert1952693431od_b_b @ SV172 @ SY538 ) )
| ~ ~ ( member1285940496od_b_b @ SV172 @ SY538 ) )
| ( SV194
!= ( insert1952693431od_b_b @ SV70 @ SY538 ) ) )
| ~ ~ ( member1285940496od_b_b @ SV70 @ SY538 ) ) ) ) ) )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1216]) ).
thf(1288,plain,
! [SV132: set_Product_prod_b_b,SV173: set_Product_prod_b_b,SV71: product_prod_b_b] :
( ( ( member1285940496od_b_b @ SV71 @ SV173 )
= $true )
| ( ( ( ( insert1952693431od_b_b @ SV71 @ SV132 )
= ( insert1952693431od_b_b @ SV71 @ SV173 ) )
= ( SV132 = SV173 ) )
= $true )
| ( ( member1285940496od_b_b @ SV71 @ SV132 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1217]) ).
thf(1289,plain,
! [SV134: set_Pr2007082183od_b_b,SV195: product_prod_b_b,SV73: set_Product_prod_b_b,SV174: product_prod_b_b] :
( ( ( ~ ( member1285940496od_b_b @ SV174 @ SV73 )
| ~ ( member1285940496od_b_b @ SV195 @ SV73 ) )
= $false )
| ( ( member1652792080od_b_b @ ( produc546497367od_b_b @ SV174 @ SV195 ) @ SV134 )
= $false )
| ( ( refl_o2134473190od_b_b @ SV73 @ SV134 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1218]) ).
thf(1290,plain,
! [SV75: product_prod_b_b,SV136: set_Product_prod_b_b] :
( ( ( SV136
!= ( insert1952693431od_b_b @ SV75 @ ( sK36_SY493 @ SV75 @ SV136 ) ) )
= $false )
| ( ( member1285940496od_b_b @ SV75 @ SV136 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1219]) ).
thf(1291,plain,
! [SV136: set_Product_prod_b_b,SV75: product_prod_b_b] :
( ( ( ~ ~ ( member1285940496od_b_b @ SV75 @ ( sK36_SY493 @ SV75 @ SV136 ) ) )
= $false )
| ( ( member1285940496od_b_b @ SV75 @ SV136 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1219]) ).
thf(1292,plain,
! [SV137: b,SV76: set_Product_prod_b_b,SV196: b,SV176: b] :
( ( ( ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SV176 @ SV196 ) @ SV76 ) )
= $true )
| ( ( member1285940496od_b_b @ ( product_Pair_b_b @ SV137 @ SV196 ) @ SV76 )
= $true )
| ( ( member1285940496od_b_b @ ( product_Pair_b_b @ SV137 @ SV176 ) @ SV76 )
= $false )
| ( ( trans_b @ SV76 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1220]) ).
thf(1293,plain,
! [SV139: set_Product_prod_b_b,SV79: product_prod_b_b,SV5: product_prod_b_b] :
( ( ( member1285940496od_b_b @ SV5 @ ( insert1952693431od_b_b @ SV79 @ SV139 ) )
= $true )
| ( ( member1285940496od_b_b @ SV5 @ ( insert1952693431od_b_b @ SV79 @ SV139 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1226]) ).
thf(1294,plain,
! [SV139: set_Product_prod_b_b,SV79: product_prod_b_b,SV5: product_prod_b_b] :
( ( ( ( SV5 = SV79 )
| ( member1285940496od_b_b @ SV5 @ SV139 ) )
= $true )
| ( ( member1285940496od_b_b @ SV5 @ ( insert1952693431od_b_b @ SV79 @ SV139 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1227]) ).
thf(1295,plain,
! [SV139: set_Product_prod_b_b,SV79: product_prod_b_b,SV5: product_prod_b_b] :
( ( ( ~ ( member1285940496od_b_b @ SV5 @ ( insert1952693431od_b_b @ SV79 @ SV139 ) ) )
= $false )
| ( ( SV5 = SV79 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1228]) ).
thf(1296,plain,
! [SV139: set_Product_prod_b_b,SV79: product_prod_b_b,SV5: product_prod_b_b] :
( ( ( ~ ( ( SV5 = SV79 )
| ( member1285940496od_b_b @ SV5 @ SV139 ) ) )
= $false )
| ( ( SV5 = SV79 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1228]) ).
thf(1297,plain,
! [SV139: set_Product_prod_b_b,SV79: product_prod_b_b,SV5: product_prod_b_b] :
( ( ( ~ ( member1285940496od_b_b @ SV5 @ ( insert1952693431od_b_b @ SV79 @ SV139 ) ) )
= $false )
| ( ( member1285940496od_b_b @ SV5 @ SV139 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1229]) ).
thf(1298,plain,
! [SV139: set_Product_prod_b_b,SV79: product_prod_b_b,SV5: product_prod_b_b] :
( ( ( ~ ( ( SV5 = SV79 )
| ( member1285940496od_b_b @ SV5 @ SV139 ) ) )
= $false )
| ( ( member1285940496od_b_b @ SV5 @ SV139 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1229]) ).
thf(1299,plain,
! [SV7: set_Product_prod_b_b] :
( ( ( ! [SY248: product_prod_b_b] :
~ ( member1285940496od_b_b @ SY248 @ SV7 ) )
= $true )
| ( ( member1285940496od_b_b @ ( sK24_SY248 @ SV7 ) @ SV7 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1230]) ).
thf(1300,plain,
! [SV7: set_Product_prod_b_b] :
( ( ( SV7 = bot_bo1343651123od_b_b )
= $true )
| ( ( member1285940496od_b_b @ ( sK24_SY248 @ SV7 ) @ SV7 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1231]) ).
thf(1301,plain,
! [SV7: set_Product_prod_b_b,SV202: product_prod_b_b] :
( ( ( member1285940496od_b_b @ SV202 @ SV7 )
= $false )
| ( ( SV7 = bot_bo1343651123od_b_b )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1232]) ).
thf(1302,plain,
! [SV88: set_Product_prod_b_b,SV203: b] :
( ( ( ! [SY558: b,SY559: b] :
( ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SV203 @ SY558 ) @ SV88 )
| ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SY558 @ SY559 ) @ SV88 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SV203 @ SY559 ) @ SV88 ) ) )
= $true )
| ( ( trans_b @ SV88 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1242]) ).
thf(1303,plain,
! [SV88: set_Product_prod_b_b] :
( ( ( ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ ( sK38_SY416 @ SV88 ) @ ( sK43_SY551 @ SV88 ) ) @ SV88 ) )
= $false )
| ( ( ~ ( ~ ( trans_b @ SV88 )
| ~ ! [SY416: b,SY417: b,SY418: b] :
( ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SY416 @ SY417 ) @ SV88 )
| ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SY417 @ SY418 ) @ SV88 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SY416 @ SY418 ) @ SV88 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1243]) ).
thf(1304,plain,
! [SV88: set_Product_prod_b_b] :
( ( ( ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ ( sK43_SY551 @ SV88 ) @ ( sK46_SY556 @ SV88 ) ) @ SV88 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ ( sK38_SY416 @ SV88 ) @ ( sK46_SY556 @ SV88 ) ) @ SV88 ) )
= $false )
| ( ( ~ ( ~ ( trans_b @ SV88 )
| ~ ! [SY416: b,SY417: b,SY418: b] :
( ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SY416 @ SY417 ) @ SV88 )
| ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SY417 @ SY418 ) @ SV88 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SY416 @ SY418 ) @ SV88 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1243]) ).
thf(1305,plain,
! [SV20: set_b,SV90: set_Product_prod_b_b] :
( ( ( ( sK13_SY421 @ SV90 @ SV20 )
!= ( sK27_SY540 @ SV20 @ SV90 ) )
= $true )
| ( ( total_on_b @ SV20 @ SV90 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1245]) ).
thf(1306,plain,
! [SV20: set_b,SV90: set_Product_prod_b_b] :
( ( ( member1285940496od_b_b @ ( product_Pair_b_b @ ( sK13_SY421 @ SV90 @ SV20 ) @ ( sK27_SY540 @ SV20 @ SV90 ) ) @ SV90 )
= $false )
| ( ( total_on_b @ SV20 @ SV90 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1246]) ).
thf(1307,plain,
! [SV90: set_Product_prod_b_b,SV20: set_b] :
( ( ( member1285940496od_b_b @ ( product_Pair_b_b @ ( sK27_SY540 @ SV20 @ SV90 ) @ ( sK13_SY421 @ SV90 @ SV20 ) ) @ SV90 )
= $false )
| ( ( total_on_b @ SV20 @ SV90 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1246]) ).
thf(1308,plain,
! [SV143: set_Product_prod_b_b,SV93: set_Product_prod_b_b,SV23: product_prod_b_b] :
( ( ( ord_le1036320359od_b_b @ ( insert1952693431od_b_b @ SV23 @ SV93 ) @ SV143 )
= $true )
| ( ( ord_le1036320359od_b_b @ ( insert1952693431od_b_b @ SV23 @ SV93 ) @ SV143 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1247]) ).
thf(1309,plain,
! [SV93: set_Product_prod_b_b,SV143: set_Product_prod_b_b,SV23: product_prod_b_b] :
( ( ( ~ ( ~ ( member1285940496od_b_b @ SV23 @ SV143 )
| ~ ( ord_le1036320359od_b_b @ SV93 @ SV143 ) ) )
= $true )
| ( ( ord_le1036320359od_b_b @ ( insert1952693431od_b_b @ SV23 @ SV93 ) @ SV143 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1248]) ).
thf(1310,plain,
! [SV93: set_Product_prod_b_b,SV143: set_Product_prod_b_b,SV23: product_prod_b_b] :
( ( ( member1285940496od_b_b @ SV23 @ SV143 )
= $false )
| ( ( ~ ( ord_le1036320359od_b_b @ SV93 @ SV143 ) )
= $true )
| ( ( ~ ( ~ ( ord_le1036320359od_b_b @ ( insert1952693431od_b_b @ SV23 @ SV93 ) @ SV143 )
| ~ ~ ( ~ ( member1285940496od_b_b @ SV23 @ SV143 )
| ~ ( ord_le1036320359od_b_b @ SV93 @ SV143 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1249]) ).
thf(1311,plain,
! [SV179: b,SV144: b,SV94: b,SV24: b] :
( ( ( ( product_Pair_b_b @ SV24 @ SV94 )
!= ( product_Pair_b_b @ SV144 @ SV179 ) )
= $false )
| ( ( ( product_Pair_b_b @ SV24 @ SV94 )
= ( product_Pair_b_b @ SV144 @ SV179 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1250]) ).
thf(1312,plain,
! [SV179: b,SV94: b,SV144: b,SV24: b] :
( ( ( ~ ~ ( ( SV24 != SV144 )
| ( SV94 != SV179 ) ) )
= $false )
| ( ( ( product_Pair_b_b @ SV24 @ SV94 )
= ( product_Pair_b_b @ SV144 @ SV179 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1250]) ).
thf(1313,plain,
! [SV179: b,SV94: b,SV144: b,SV24: b] :
( ( ( SV24 != SV144 )
= $true )
| ( ( SV94 != SV179 )
= $true )
| ( ( ~ ( ( ( product_Pair_b_b @ SV24 @ SV94 )
!= ( product_Pair_b_b @ SV144 @ SV179 ) )
| ~ ~ ( ( SV24 != SV144 )
| ( SV94 != SV179 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1251]) ).
thf(1314,plain,
! [SV99: b,SV30: set_Product_prod_b_b,SV181: b,SV148: b] :
( ( ( member1285940496od_b_b @ ( product_Pair_b_b @ SV148 @ SV181 ) @ SV30 )
= $false )
| ( ( member1285940496od_b_b @ ( product_Pair_b_b @ SV99 @ SV181 ) @ SV30 )
= $true )
| ( ( member1285940496od_b_b @ ( product_Pair_b_b @ SV99 @ SV148 ) @ SV30 )
= $false )
| ( ( trans_b @ SV30 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1253]) ).
thf(1315,plain,
! [SV182: b,SV149: b,SV100: b,SV31: b] :
( ( ( ( product_Pair_b_b @ SV31 @ SV100 )
!= ( product_Pair_b_b @ SV149 @ SV182 ) )
= $false )
| ( ( ( product_Pair_b_b @ SV31 @ SV100 )
= ( product_Pair_b_b @ SV149 @ SV182 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1254]) ).
thf(1316,plain,
! [SV182: b,SV100: b,SV149: b,SV31: b] :
( ( ( ~ ~ ( ( SV31 != SV149 )
| ( SV100 != SV182 ) ) )
= $false )
| ( ( ( product_Pair_b_b @ SV31 @ SV100 )
= ( product_Pair_b_b @ SV149 @ SV182 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1254]) ).
thf(1317,plain,
! [SV182: b,SV100: b,SV149: b,SV31: b] :
( ( ( SV31 != SV149 )
= $true )
| ( ( SV100 != SV182 )
= $true )
| ( ( ~ ( ( ( product_Pair_b_b @ SV31 @ SV100 )
!= ( product_Pair_b_b @ SV149 @ SV182 ) )
| ~ ~ ( ( SV31 != SV149 )
| ( SV100 != SV182 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1255]) ).
thf(1318,plain,
! [SV102: set_Product_prod_b_b,SV204: b] :
( ( ( ! [SY560: b] :
( ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SV204 @ SY560 ) @ SV102 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SY560 @ SV204 ) @ SV102 ) ) )
= $true )
| ( ( sym_b @ SV102 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1257]) ).
thf(1319,plain,
! [SV102: set_Product_prod_b_b] :
( ( ( member1285940496od_b_b @ ( product_Pair_b_b @ ( sK39_SY440 @ SV102 ) @ ( sK44_SY553 @ SV102 ) ) @ SV102 )
= $true )
| ( ( ~ ( ~ ( sym_b @ SV102 )
| ~ ! [SY440: b,SY441: b] :
( ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SY440 @ SY441 ) @ SV102 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SY441 @ SY440 ) @ SV102 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1258]) ).
thf(1320,plain,
! [SV102: set_Product_prod_b_b] :
( ( ( ~ ( sym_b @ SV102 )
| ~ ! [SY440: b,SY441: b] :
( ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SY440 @ SY441 ) @ SV102 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SY441 @ SY440 ) @ SV102 ) ) )
= $false )
| ( ( member1285940496od_b_b @ ( product_Pair_b_b @ ( sK44_SY553 @ SV102 ) @ ( sK39_SY440 @ SV102 ) ) @ SV102 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1259]) ).
thf(1321,plain,
! [SV183: set_Product_prod_b_b,SV104: set_Product_prod_b_b] :
( ( ( ~ ( ord_le1036320359od_b_b @ SV104 @ SV183 ) )
= $false )
| ( ( ord_le1036320359od_b_b @ SV104 @ SV183 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1260]) ).
thf(1322,plain,
! [SV183: set_Product_prod_b_b,SV104: set_Product_prod_b_b] :
( ( ( ~ ! [SY529: product_prod_b_b] :
( ~ ( member1285940496od_b_b @ SY529 @ SV104 )
| ( member1285940496od_b_b @ SY529 @ SV183 ) ) )
= $false )
| ( ( ord_le1036320359od_b_b @ SV104 @ SV183 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1260]) ).
thf(1323,plain,
! [SV104: set_Product_prod_b_b,SV183: set_Product_prod_b_b] :
( ( ( ~ ( member1285940496od_b_b @ ( sK47_SY529 @ SV183 @ SV104 ) @ SV104 ) )
= $false )
| ( ( ~ ( ~ ( ord_le1036320359od_b_b @ SV104 @ SV183 )
| ~ ! [SY529: product_prod_b_b] :
( ~ ( member1285940496od_b_b @ SY529 @ SV104 )
| ( member1285940496od_b_b @ SY529 @ SV183 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1261]) ).
thf(1324,plain,
! [SV104: set_Product_prod_b_b,SV183: set_Product_prod_b_b] :
( ( ( member1285940496od_b_b @ ( sK47_SY529 @ SV183 @ SV104 ) @ SV183 )
= $false )
| ( ( ~ ( ~ ( ord_le1036320359od_b_b @ SV104 @ SV183 )
| ~ ! [SY529: product_prod_b_b] :
( ~ ( member1285940496od_b_b @ SY529 @ SV104 )
| ( member1285940496od_b_b @ SY529 @ SV183 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1261]) ).
thf(1325,plain,
! [SV184: set_Product_prod_b_b,SV105: set_Product_prod_b_b] :
( ( ( ~ ( ord_le1036320359od_b_b @ SV105 @ SV184 ) )
= $false )
| ( ( ord_le1036320359od_b_b @ SV105 @ SV184 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1262]) ).
thf(1326,plain,
! [SV184: set_Product_prod_b_b,SV105: set_Product_prod_b_b] :
( ( ( ~ ! [SY530: product_prod_b_b] :
( ~ ( member1285940496od_b_b @ SY530 @ SV105 )
| ( member1285940496od_b_b @ SY530 @ SV184 ) ) )
= $false )
| ( ( ord_le1036320359od_b_b @ SV105 @ SV184 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1262]) ).
thf(1327,plain,
! [SV105: set_Product_prod_b_b,SV184: set_Product_prod_b_b] :
( ( ( ~ ( member1285940496od_b_b @ ( sK48_SY530 @ SV184 @ SV105 ) @ SV105 ) )
= $false )
| ( ( ~ ( ~ ( ord_le1036320359od_b_b @ SV105 @ SV184 )
| ~ ! [SY530: product_prod_b_b] :
( ~ ( member1285940496od_b_b @ SY530 @ SV105 )
| ( member1285940496od_b_b @ SY530 @ SV184 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1263]) ).
thf(1328,plain,
! [SV105: set_Product_prod_b_b,SV184: set_Product_prod_b_b] :
( ( ( member1285940496od_b_b @ ( sK48_SY530 @ SV184 @ SV105 ) @ SV184 )
= $false )
| ( ( ~ ( ~ ( ord_le1036320359od_b_b @ SV105 @ SV184 )
| ~ ! [SY530: product_prod_b_b] :
( ~ ( member1285940496od_b_b @ SY530 @ SV105 )
| ( member1285940496od_b_b @ SY530 @ SV184 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1263]) ).
thf(1329,plain,
! [SV199: product_prod_b_b,SV44: set_Product_prod_b_b] :
( ( ( ~ ~ ! [SY329: product_prod_b_b] :
~ ( member1285940496od_b_b @ SY329 @ SV44 ) )
= $false )
| ( ( member1285940496od_b_b @ SV199 @ SV44 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1264]) ).
thf(1330,plain,
! [SV199: product_prod_b_b,SV44: set_Product_prod_b_b] :
( ( ( ~ ( ( SV44 != bot_bo1343651123od_b_b ) ) )
= $false )
| ( ( member1285940496od_b_b @ SV199 @ SV44 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1264]) ).
thf(1331,plain,
! [SV44: set_Product_prod_b_b] :
( ( ( ! [SY329: product_prod_b_b] :
~ ( member1285940496od_b_b @ SY329 @ SV44 ) )
= $false )
| ( ( SV44 = bot_bo1343651123od_b_b )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1265]) ).
thf(1332,plain,
! [SV44: set_Product_prod_b_b] :
( ( ( SV44 = bot_bo1343651123od_b_b )
= $false )
| ( ( SV44 = bot_bo1343651123od_b_b )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1266]) ).
thf(1333,plain,
! [SV187: set_Product_prod_b_b,SV114: set_b] :
( ( ( ~ ( total_on_b @ SV114 @ SV187 ) )
= $false )
| ( ( total_on_b @ SV114 @ SV187 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1267]) ).
thf(1334,plain,
! [SV187: set_Product_prod_b_b,SV114: set_b] :
( ( ( ~ ! [SY531: b] :
( ~ ( member_b @ SY531 @ SV114 )
| ! [SY532: b] :
( ~ ( member_b @ SY532 @ SV114 )
| ~ ( ( SY531 != SY532 ) )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SY531 @ SY532 ) @ SV187 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SY532 @ SY531 ) @ SV187 ) ) ) )
= $false )
| ( ( total_on_b @ SV114 @ SV187 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1267]) ).
thf(1335,plain,
! [SV114: set_b,SV187: set_Product_prod_b_b] :
( ( ( ~ ( member_b @ ( sK49_SY531 @ SV187 @ SV114 ) @ SV114 ) )
= $false )
| ( ( ~ ( ~ ( total_on_b @ SV114 @ SV187 )
| ~ ! [SY531: b] :
( ~ ( member_b @ SY531 @ SV114 )
| ! [SY532: b] :
( ~ ( member_b @ SY532 @ SV114 )
| ~ ( ( SY531 != SY532 ) )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SY531 @ SY532 ) @ SV187 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SY532 @ SY531 ) @ SV187 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1268]) ).
thf(1336,plain,
! [SV187: set_Product_prod_b_b,SV114: set_b] :
( ( ( ! [SY557: b] :
( ~ ( member_b @ SY557 @ SV114 )
| ~ ( ( ( sK49_SY531 @ SV187 @ SV114 )
!= SY557 ) )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ ( sK49_SY531 @ SV187 @ SV114 ) @ SY557 ) @ SV187 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SY557 @ ( sK49_SY531 @ SV187 @ SV114 ) ) @ SV187 ) ) )
= $false )
| ( ( ~ ( ~ ( total_on_b @ SV114 @ SV187 )
| ~ ! [SY531: b] :
( ~ ( member_b @ SY531 @ SV114 )
| ! [SY532: b] :
( ~ ( member_b @ SY532 @ SV114 )
| ~ ( ( SY531 != SY532 ) )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SY531 @ SY532 ) @ SV187 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SY532 @ SY531 ) @ SV187 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1268]) ).
thf(1337,plain,
! [SV162: set_Product_prod_b_b,SV51: product_prod_b_b,SV118: set_Product_prod_b_b] :
( ( ( ord_le1036320359od_b_b @ SV118 @ ( insert1952693431od_b_b @ SV51 @ SV162 ) )
= $false )
| ( ( ~ ( ~ ( ord_le1036320359od_b_b @ SV118 @ ( insert1952693431od_b_b @ SV51 @ SV162 ) )
| ~ ( ord_le1036320359od_b_b @ SV118 @ SV162 ) ) )
= $true )
| ( ( member1285940496od_b_b @ SV51 @ SV118 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1271]) ).
thf(1338,plain,
! [SV51: product_prod_b_b,SV162: set_Product_prod_b_b,SV118: set_Product_prod_b_b] :
( ( ( ord_le1036320359od_b_b @ SV118 @ SV162 )
= $false )
| ( ( ~ ( ~ ( ord_le1036320359od_b_b @ SV118 @ ( insert1952693431od_b_b @ SV51 @ SV162 ) )
| ~ ( ord_le1036320359od_b_b @ SV118 @ SV162 ) ) )
= $true )
| ( ( member1285940496od_b_b @ SV51 @ SV118 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1271]) ).
thf(1339,plain,
! [SV201: b,SV200: b] :
( ( ( member1285940496od_b_b @ ( product_Pair_b_b @ SV200 @ SV201 ) @ ( getRel_a_b @ i @ g ) )
= $false )
| ( ( member1285940496od_b_b @ ( product_Pair_b_b @ SV201 @ SV200 ) @ ( getRel_a_b @ i @ g ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1272]) ).
thf(1340,plain,
! [SV54: set_Product_prod_b_b,SV120: set_Pr2007082183od_b_b] :
( ( ( ( sK20_SY468 @ SV120 @ SV54 )
!= ( sK34_SY546 @ SV54 @ SV120 ) )
= $true )
| ( ( total_178717291od_b_b @ SV54 @ SV120 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1275]) ).
thf(1341,plain,
! [SV54: set_Product_prod_b_b,SV120: set_Pr2007082183od_b_b] :
( ( ( member1652792080od_b_b @ ( produc546497367od_b_b @ ( sK20_SY468 @ SV120 @ SV54 ) @ ( sK34_SY546 @ SV54 @ SV120 ) ) @ SV120 )
= $false )
| ( ( total_178717291od_b_b @ SV54 @ SV120 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1276]) ).
thf(1342,plain,
! [SV120: set_Pr2007082183od_b_b,SV54: set_Product_prod_b_b] :
( ( ( member1652792080od_b_b @ ( produc546497367od_b_b @ ( sK34_SY546 @ SV54 @ SV120 ) @ ( sK20_SY468 @ SV120 @ SV54 ) ) @ SV120 )
= $false )
| ( ( total_178717291od_b_b @ SV54 @ SV120 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1276]) ).
thf(1343,plain,
! [SV164: set_b,SV123: b,SV57: b] :
( ( ( member1285940496od_b_b @ ( product_Pair_b_b @ SV57 @ SV123 ) @ ( id_on_b @ SV164 ) )
= $true )
| ( ( member1285940496od_b_b @ ( product_Pair_b_b @ SV57 @ SV123 ) @ ( id_on_b @ SV164 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1277]) ).
thf(1344,plain,
! [SV164: set_b,SV123: b,SV57: b] :
( ( ( ~ ( ( SV57 != SV123 )
| ~ ( member_b @ SV57 @ SV164 ) ) )
= $true )
| ( ( member1285940496od_b_b @ ( product_Pair_b_b @ SV57 @ SV123 ) @ ( id_on_b @ SV164 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1278]) ).
thf(1345,plain,
! [SV164: set_b,SV123: b,SV57: b] :
( ( ( SV57 = SV123 )
= $false )
| ( ( ~ ( member_b @ SV57 @ SV164 ) )
= $true )
| ( ( ~ ( ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SV57 @ SV123 ) @ ( id_on_b @ SV164 ) )
| ~ ~ ( ( SV57 != SV123 )
| ~ ( member_b @ SV57 @ SV164 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1279]) ).
thf(1346,plain,
! [SV167: set_Product_prod_b_b,SV126: product_prod_b_b,SV60: product_prod_b_b] :
( ( ( member1652792080od_b_b @ ( produc546497367od_b_b @ SV60 @ SV126 ) @ ( id_on_2019020932od_b_b @ SV167 ) )
= $true )
| ( ( member1652792080od_b_b @ ( produc546497367od_b_b @ SV60 @ SV126 ) @ ( id_on_2019020932od_b_b @ SV167 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1281]) ).
thf(1347,plain,
! [SV167: set_Product_prod_b_b,SV126: product_prod_b_b,SV60: product_prod_b_b] :
( ( ( ~ ( ( SV60 != SV126 )
| ~ ( member1285940496od_b_b @ SV60 @ SV167 ) ) )
= $true )
| ( ( member1652792080od_b_b @ ( produc546497367od_b_b @ SV60 @ SV126 ) @ ( id_on_2019020932od_b_b @ SV167 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1282]) ).
thf(1348,plain,
! [SV167: set_Product_prod_b_b,SV126: product_prod_b_b,SV60: product_prod_b_b] :
( ( ( SV60 = SV126 )
= $false )
| ( ( ~ ( member1285940496od_b_b @ SV60 @ SV167 ) )
= $true )
| ( ( ~ ( ~ ( member1652792080od_b_b @ ( produc546497367od_b_b @ SV60 @ SV126 ) @ ( id_on_2019020932od_b_b @ SV167 ) )
| ~ ~ ( ( SV60 != SV126 )
| ~ ( member1285940496od_b_b @ SV60 @ SV167 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1283]) ).
thf(1349,plain,
! [SV62: set_Product_prod_b_b] :
( ( ( member1285940496od_b_b @ ( sK42_SY373 @ SV62 ) @ SV62 )
= $true )
| ( ( is_sin1713057243od_b_b @ SV62 )
= $true )
| ( ( SV62 = bot_bo1343651123od_b_b )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1284]) ).
thf(1350,plain,
! [SV62: set_Product_prod_b_b] :
( ( ( ~ ( member1285940496od_b_b @ ( sK45_SY555 @ SV62 ) @ SV62 ) )
= $false )
| ( ( is_sin1713057243od_b_b @ SV62 )
= $true )
| ( ( SV62 = bot_bo1343651123od_b_b )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1285]) ).
thf(1351,plain,
! [SV62: set_Product_prod_b_b] :
( ( ( ( sK42_SY373 @ SV62 )
= ( sK45_SY555 @ SV62 ) )
= $false )
| ( ( is_sin1713057243od_b_b @ SV62 )
= $true )
| ( ( SV62 = bot_bo1343651123od_b_b )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1285]) ).
thf(1352,plain,
! [SV129: set_Product_prod_b_b,SV192: b,SV68: set_b,SV170: b] :
( ( ( ~ ( member_b @ SV170 @ SV68 ) )
= $false )
| ( ( member1285940496od_b_b @ ( product_Pair_b_b @ SV170 @ SV192 ) @ SV129 )
= $false )
| ( ( refl_on_b @ SV68 @ SV129 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1286]) ).
thf(1353,plain,
! [SV129: set_Product_prod_b_b,SV170: b,SV68: set_b,SV192: b] :
( ( ( ~ ( member_b @ SV192 @ SV68 ) )
= $false )
| ( ( member1285940496od_b_b @ ( product_Pair_b_b @ SV170 @ SV192 ) @ SV129 )
= $false )
| ( ( refl_on_b @ SV68 @ SV129 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1286]) ).
thf(1354,plain,
! [SV131: set_Product_prod_b_b,SV70: product_prod_b_b,SV194: set_Product_prod_b_b,SV172: product_prod_b_b] :
( ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( ( ( insert1952693431od_b_b @ SV70 @ SV131 )
= ( insert1952693431od_b_b @ SV172 @ SV194 ) )
= ( ~ ( ~ ( ( SV70 != SV172 )
| ( SV131 = SV194 ) )
| ~ ( ~ ( ( SV70 != SV172 ) )
| ~ ! [SY538: set_Product_prod_b_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV131
!= ( insert1952693431od_b_b @ SV172 @ SY538 ) )
| ~ ~ ( member1285940496od_b_b @ SV172 @ SY538 ) )
| ( SV194
!= ( insert1952693431od_b_b @ SV70 @ SY538 ) ) )
| ~ ~ ( member1285940496od_b_b @ SV70 @ SY538 ) ) ) ) ) )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1287]) ).
thf(1355,plain,
! [SV173: set_Product_prod_b_b,SV132: set_Product_prod_b_b,SV71: product_prod_b_b] :
( ( ( ~ ( ( ( insert1952693431od_b_b @ SV71 @ SV132 )
= ( insert1952693431od_b_b @ SV71 @ SV173 ) )
| ( SV132 = SV173 ) )
| ~ ( ( ( insert1952693431od_b_b @ SV71 @ SV132 )
!= ( insert1952693431od_b_b @ SV71 @ SV173 ) )
| ( SV132 != SV173 ) ) )
= $true )
| ( ( member1285940496od_b_b @ SV71 @ SV173 )
= $true )
| ( ( member1285940496od_b_b @ SV71 @ SV132 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1288]) ).
thf(1356,plain,
! [SV173: set_Product_prod_b_b,SV132: set_Product_prod_b_b,SV71: product_prod_b_b] :
( ( ( ( ( insert1952693431od_b_b @ SV71 @ SV132 )
= ( insert1952693431od_b_b @ SV71 @ SV173 ) )
= ( SV132 = SV173 ) )
= $true )
| ( ( member1285940496od_b_b @ SV71 @ SV173 )
= $true )
| ( ( member1285940496od_b_b @ SV71 @ SV132 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1288]) ).
thf(1357,plain,
! [SV134: set_Pr2007082183od_b_b,SV195: product_prod_b_b,SV73: set_Product_prod_b_b,SV174: product_prod_b_b] :
( ( ( ~ ( member1285940496od_b_b @ SV174 @ SV73 ) )
= $false )
| ( ( member1652792080od_b_b @ ( produc546497367od_b_b @ SV174 @ SV195 ) @ SV134 )
= $false )
| ( ( refl_o2134473190od_b_b @ SV73 @ SV134 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1289]) ).
thf(1358,plain,
! [SV134: set_Pr2007082183od_b_b,SV174: product_prod_b_b,SV73: set_Product_prod_b_b,SV195: product_prod_b_b] :
( ( ( ~ ( member1285940496od_b_b @ SV195 @ SV73 ) )
= $false )
| ( ( member1652792080od_b_b @ ( produc546497367od_b_b @ SV174 @ SV195 ) @ SV134 )
= $false )
| ( ( refl_o2134473190od_b_b @ SV73 @ SV134 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1289]) ).
thf(1359,plain,
! [SV75: product_prod_b_b,SV136: set_Product_prod_b_b] :
( ( ( SV136
= ( insert1952693431od_b_b @ SV75 @ ( sK36_SY493 @ SV75 @ SV136 ) ) )
= $true )
| ( ( member1285940496od_b_b @ SV75 @ SV136 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1290]) ).
thf(1360,plain,
! [SV136: set_Product_prod_b_b,SV75: product_prod_b_b] :
( ( ( ~ ( member1285940496od_b_b @ SV75 @ ( sK36_SY493 @ SV75 @ SV136 ) ) )
= $true )
| ( ( member1285940496od_b_b @ SV75 @ SV136 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1291]) ).
thf(1361,plain,
! [SV137: b,SV76: set_Product_prod_b_b,SV196: b,SV176: b] :
( ( ( member1285940496od_b_b @ ( product_Pair_b_b @ SV176 @ SV196 ) @ SV76 )
= $false )
| ( ( member1285940496od_b_b @ ( product_Pair_b_b @ SV137 @ SV196 ) @ SV76 )
= $true )
| ( ( member1285940496od_b_b @ ( product_Pair_b_b @ SV137 @ SV176 ) @ SV76 )
= $false )
| ( ( trans_b @ SV76 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1292]) ).
thf(1362,plain,
! [SV139: set_Product_prod_b_b,SV79: product_prod_b_b,SV5: product_prod_b_b] :
( ( ( SV5 = SV79 )
= $true )
| ( ( member1285940496od_b_b @ SV5 @ SV139 )
= $true )
| ( ( member1285940496od_b_b @ SV5 @ ( insert1952693431od_b_b @ SV79 @ SV139 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1294]) ).
thf(1363,plain,
! [SV139: set_Product_prod_b_b,SV79: product_prod_b_b,SV5: product_prod_b_b] :
( ( ( member1285940496od_b_b @ SV5 @ ( insert1952693431od_b_b @ SV79 @ SV139 ) )
= $true )
| ( ( SV5 = SV79 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1295]) ).
thf(1364,plain,
! [SV139: set_Product_prod_b_b,SV79: product_prod_b_b,SV5: product_prod_b_b] :
( ( ( ( SV5 = SV79 )
| ( member1285940496od_b_b @ SV5 @ SV139 ) )
= $true )
| ( ( SV5 = SV79 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1296]) ).
thf(1365,plain,
! [SV139: set_Product_prod_b_b,SV79: product_prod_b_b,SV5: product_prod_b_b] :
( ( ( member1285940496od_b_b @ SV5 @ ( insert1952693431od_b_b @ SV79 @ SV139 ) )
= $true )
| ( ( member1285940496od_b_b @ SV5 @ SV139 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1297]) ).
thf(1366,plain,
! [SV139: set_Product_prod_b_b,SV79: product_prod_b_b,SV5: product_prod_b_b] :
( ( ( ( SV5 = SV79 )
| ( member1285940496od_b_b @ SV5 @ SV139 ) )
= $true )
| ( ( member1285940496od_b_b @ SV5 @ SV139 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1298]) ).
thf(1367,plain,
! [SV7: set_Product_prod_b_b,SV205: product_prod_b_b] :
( ( ( ~ ( member1285940496od_b_b @ SV205 @ SV7 ) )
= $true )
| ( ( member1285940496od_b_b @ ( sK24_SY248 @ SV7 ) @ SV7 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1299]) ).
thf(1368,plain,
! [SV88: set_Product_prod_b_b,SV206: b,SV203: b] :
( ( ( ! [SY561: b] :
( ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SV203 @ SV206 ) @ SV88 )
| ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SV206 @ SY561 ) @ SV88 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SV203 @ SY561 ) @ SV88 ) ) )
= $true )
| ( ( trans_b @ SV88 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1302]) ).
thf(1369,plain,
! [SV88: set_Product_prod_b_b] :
( ( ( member1285940496od_b_b @ ( product_Pair_b_b @ ( sK38_SY416 @ SV88 ) @ ( sK43_SY551 @ SV88 ) ) @ SV88 )
= $true )
| ( ( ~ ( ~ ( trans_b @ SV88 )
| ~ ! [SY416: b,SY417: b,SY418: b] :
( ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SY416 @ SY417 ) @ SV88 )
| ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SY417 @ SY418 ) @ SV88 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SY416 @ SY418 ) @ SV88 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1303]) ).
thf(1370,plain,
! [SV88: set_Product_prod_b_b] :
( ( ( ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ ( sK43_SY551 @ SV88 ) @ ( sK46_SY556 @ SV88 ) ) @ SV88 ) )
= $false )
| ( ( ~ ( ~ ( trans_b @ SV88 )
| ~ ! [SY416: b,SY417: b,SY418: b] :
( ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SY416 @ SY417 ) @ SV88 )
| ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SY417 @ SY418 ) @ SV88 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SY416 @ SY418 ) @ SV88 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1304]) ).
thf(1371,plain,
! [SV88: set_Product_prod_b_b] :
( ( ( member1285940496od_b_b @ ( product_Pair_b_b @ ( sK38_SY416 @ SV88 ) @ ( sK46_SY556 @ SV88 ) ) @ SV88 )
= $false )
| ( ( ~ ( ~ ( trans_b @ SV88 )
| ~ ! [SY416: b,SY417: b,SY418: b] :
( ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SY416 @ SY417 ) @ SV88 )
| ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SY417 @ SY418 ) @ SV88 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SY416 @ SY418 ) @ SV88 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1304]) ).
thf(1372,plain,
! [SV20: set_b,SV90: set_Product_prod_b_b] :
( ( ( ( sK13_SY421 @ SV90 @ SV20 )
= ( sK27_SY540 @ SV20 @ SV90 ) )
= $false )
| ( ( total_on_b @ SV20 @ SV90 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1305]) ).
thf(1373,plain,
! [SV93: set_Product_prod_b_b,SV143: set_Product_prod_b_b,SV23: product_prod_b_b] :
( ( ( ~ ( member1285940496od_b_b @ SV23 @ SV143 )
| ~ ( ord_le1036320359od_b_b @ SV93 @ SV143 ) )
= $false )
| ( ( ord_le1036320359od_b_b @ ( insert1952693431od_b_b @ SV23 @ SV93 ) @ SV143 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1309]) ).
thf(1374,plain,
! [SV23: product_prod_b_b,SV143: set_Product_prod_b_b,SV93: set_Product_prod_b_b] :
( ( ( ord_le1036320359od_b_b @ SV93 @ SV143 )
= $false )
| ( ( member1285940496od_b_b @ SV23 @ SV143 )
= $false )
| ( ( ~ ( ~ ( ord_le1036320359od_b_b @ ( insert1952693431od_b_b @ SV23 @ SV93 ) @ SV143 )
| ~ ~ ( ~ ( member1285940496od_b_b @ SV23 @ SV143 )
| ~ ( ord_le1036320359od_b_b @ SV93 @ SV143 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1310]) ).
thf(1375,plain,
! [SV179: b,SV144: b,SV94: b,SV24: b] :
( ( ( ( product_Pair_b_b @ SV24 @ SV94 )
= ( product_Pair_b_b @ SV144 @ SV179 ) )
= $true )
| ( ( ( product_Pair_b_b @ SV24 @ SV94 )
= ( product_Pair_b_b @ SV144 @ SV179 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1311]) ).
thf(1376,plain,
! [SV179: b,SV94: b,SV144: b,SV24: b] :
( ( ( ~ ( ( SV24 != SV144 )
| ( SV94 != SV179 ) ) )
= $true )
| ( ( ( product_Pair_b_b @ SV24 @ SV94 )
= ( product_Pair_b_b @ SV144 @ SV179 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1312]) ).
thf(1377,plain,
! [SV179: b,SV94: b,SV144: b,SV24: b] :
( ( ( SV24 = SV144 )
= $false )
| ( ( SV94 != SV179 )
= $true )
| ( ( ~ ( ( ( product_Pair_b_b @ SV24 @ SV94 )
!= ( product_Pair_b_b @ SV144 @ SV179 ) )
| ~ ~ ( ( SV24 != SV144 )
| ( SV94 != SV179 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1313]) ).
thf(1378,plain,
! [SV182: b,SV149: b,SV100: b,SV31: b] :
( ( ( ( product_Pair_b_b @ SV31 @ SV100 )
= ( product_Pair_b_b @ SV149 @ SV182 ) )
= $true )
| ( ( ( product_Pair_b_b @ SV31 @ SV100 )
= ( product_Pair_b_b @ SV149 @ SV182 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1315]) ).
thf(1379,plain,
! [SV182: b,SV100: b,SV149: b,SV31: b] :
( ( ( ~ ( ( SV31 != SV149 )
| ( SV100 != SV182 ) ) )
= $true )
| ( ( ( product_Pair_b_b @ SV31 @ SV100 )
= ( product_Pair_b_b @ SV149 @ SV182 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1316]) ).
thf(1380,plain,
! [SV182: b,SV100: b,SV149: b,SV31: b] :
( ( ( SV31 = SV149 )
= $false )
| ( ( SV100 != SV182 )
= $true )
| ( ( ~ ( ( ( product_Pair_b_b @ SV31 @ SV100 )
!= ( product_Pair_b_b @ SV149 @ SV182 ) )
| ~ ~ ( ( SV31 != SV149 )
| ( SV100 != SV182 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1317]) ).
thf(1381,plain,
! [SV102: set_Product_prod_b_b,SV207: b,SV204: b] :
( ( ( ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SV204 @ SV207 ) @ SV102 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SV207 @ SV204 ) @ SV102 ) )
= $true )
| ( ( sym_b @ SV102 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1318]) ).
thf(1382,plain,
! [SV102: set_Product_prod_b_b] :
( ( ( ~ ( sym_b @ SV102 )
| ~ ! [SY440: b,SY441: b] :
( ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SY440 @ SY441 ) @ SV102 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SY441 @ SY440 ) @ SV102 ) ) )
= $false )
| ( ( member1285940496od_b_b @ ( product_Pair_b_b @ ( sK39_SY440 @ SV102 ) @ ( sK44_SY553 @ SV102 ) ) @ SV102 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1319]) ).
thf(1383,plain,
! [SV102: set_Product_prod_b_b] :
( ( ( ~ ( sym_b @ SV102 ) )
= $false )
| ( ( member1285940496od_b_b @ ( product_Pair_b_b @ ( sK44_SY553 @ SV102 ) @ ( sK39_SY440 @ SV102 ) ) @ SV102 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1320]) ).
thf(1384,plain,
! [SV102: set_Product_prod_b_b] :
( ( ( ~ ! [SY440: b,SY441: b] :
( ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SY440 @ SY441 ) @ SV102 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SY441 @ SY440 ) @ SV102 ) ) )
= $false )
| ( ( member1285940496od_b_b @ ( product_Pair_b_b @ ( sK44_SY553 @ SV102 ) @ ( sK39_SY440 @ SV102 ) ) @ SV102 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1320]) ).
thf(1385,plain,
! [SV183: set_Product_prod_b_b,SV104: set_Product_prod_b_b] :
( ( ( ord_le1036320359od_b_b @ SV104 @ SV183 )
= $true )
| ( ( ord_le1036320359od_b_b @ SV104 @ SV183 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1321]) ).
thf(1386,plain,
! [SV183: set_Product_prod_b_b,SV104: set_Product_prod_b_b] :
( ( ( ! [SY529: product_prod_b_b] :
( ~ ( member1285940496od_b_b @ SY529 @ SV104 )
| ( member1285940496od_b_b @ SY529 @ SV183 ) ) )
= $true )
| ( ( ord_le1036320359od_b_b @ SV104 @ SV183 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1322]) ).
thf(1387,plain,
! [SV104: set_Product_prod_b_b,SV183: set_Product_prod_b_b] :
( ( ( member1285940496od_b_b @ ( sK47_SY529 @ SV183 @ SV104 ) @ SV104 )
= $true )
| ( ( ~ ( ~ ( ord_le1036320359od_b_b @ SV104 @ SV183 )
| ~ ! [SY529: product_prod_b_b] :
( ~ ( member1285940496od_b_b @ SY529 @ SV104 )
| ( member1285940496od_b_b @ SY529 @ SV183 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1323]) ).
thf(1388,plain,
! [SV183: set_Product_prod_b_b,SV104: set_Product_prod_b_b] :
( ( ( ~ ( ord_le1036320359od_b_b @ SV104 @ SV183 )
| ~ ! [SY529: product_prod_b_b] :
( ~ ( member1285940496od_b_b @ SY529 @ SV104 )
| ( member1285940496od_b_b @ SY529 @ SV183 ) ) )
= $false )
| ( ( member1285940496od_b_b @ ( sK47_SY529 @ SV183 @ SV104 ) @ SV183 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1324]) ).
thf(1389,plain,
! [SV184: set_Product_prod_b_b,SV105: set_Product_prod_b_b] :
( ( ( ord_le1036320359od_b_b @ SV105 @ SV184 )
= $true )
| ( ( ord_le1036320359od_b_b @ SV105 @ SV184 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1325]) ).
thf(1390,plain,
! [SV184: set_Product_prod_b_b,SV105: set_Product_prod_b_b] :
( ( ( ! [SY530: product_prod_b_b] :
( ~ ( member1285940496od_b_b @ SY530 @ SV105 )
| ( member1285940496od_b_b @ SY530 @ SV184 ) ) )
= $true )
| ( ( ord_le1036320359od_b_b @ SV105 @ SV184 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1326]) ).
thf(1391,plain,
! [SV105: set_Product_prod_b_b,SV184: set_Product_prod_b_b] :
( ( ( member1285940496od_b_b @ ( sK48_SY530 @ SV184 @ SV105 ) @ SV105 )
= $true )
| ( ( ~ ( ~ ( ord_le1036320359od_b_b @ SV105 @ SV184 )
| ~ ! [SY530: product_prod_b_b] :
( ~ ( member1285940496od_b_b @ SY530 @ SV105 )
| ( member1285940496od_b_b @ SY530 @ SV184 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1327]) ).
thf(1392,plain,
! [SV184: set_Product_prod_b_b,SV105: set_Product_prod_b_b] :
( ( ( ~ ( ord_le1036320359od_b_b @ SV105 @ SV184 )
| ~ ! [SY530: product_prod_b_b] :
( ~ ( member1285940496od_b_b @ SY530 @ SV105 )
| ( member1285940496od_b_b @ SY530 @ SV184 ) ) )
= $false )
| ( ( member1285940496od_b_b @ ( sK48_SY530 @ SV184 @ SV105 ) @ SV184 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1328]) ).
thf(1393,plain,
! [SV199: product_prod_b_b,SV44: set_Product_prod_b_b] :
( ( ( ~ ! [SY329: product_prod_b_b] :
~ ( member1285940496od_b_b @ SY329 @ SV44 ) )
= $true )
| ( ( member1285940496od_b_b @ SV199 @ SV44 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1329]) ).
thf(1394,plain,
! [SV199: product_prod_b_b,SV44: set_Product_prod_b_b] :
( ( ( SV44 != bot_bo1343651123od_b_b )
= $true )
| ( ( member1285940496od_b_b @ SV199 @ SV44 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1330]) ).
thf(1395,plain,
! [SV44: set_Product_prod_b_b] :
( ( ( ~ ( member1285940496od_b_b @ ( sK50_SY329 @ SV44 ) @ SV44 ) )
= $false )
| ( ( SV44 = bot_bo1343651123od_b_b )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1331]) ).
thf(1396,plain,
! [SV187: set_Product_prod_b_b,SV114: set_b] :
( ( ( total_on_b @ SV114 @ SV187 )
= $true )
| ( ( total_on_b @ SV114 @ SV187 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1333]) ).
thf(1397,plain,
! [SV187: set_Product_prod_b_b,SV114: set_b] :
( ( ( ! [SY531: b] :
( ~ ( member_b @ SY531 @ SV114 )
| ! [SY532: b] :
( ~ ( member_b @ SY532 @ SV114 )
| ~ ( ( SY531 != SY532 ) )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SY531 @ SY532 ) @ SV187 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SY532 @ SY531 ) @ SV187 ) ) ) )
= $true )
| ( ( total_on_b @ SV114 @ SV187 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1334]) ).
thf(1398,plain,
! [SV114: set_b,SV187: set_Product_prod_b_b] :
( ( ( member_b @ ( sK49_SY531 @ SV187 @ SV114 ) @ SV114 )
= $true )
| ( ( ~ ( ~ ( total_on_b @ SV114 @ SV187 )
| ~ ! [SY531: b] :
( ~ ( member_b @ SY531 @ SV114 )
| ! [SY532: b] :
( ~ ( member_b @ SY532 @ SV114 )
| ~ ( ( SY531 != SY532 ) )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SY531 @ SY532 ) @ SV187 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SY532 @ SY531 ) @ SV187 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1335]) ).
thf(1399,plain,
! [SV114: set_b,SV187: set_Product_prod_b_b] :
( ( ( ~ ( member_b @ ( sK51_SY557 @ SV187 @ SV114 ) @ SV114 )
| ~ ( ( ( sK49_SY531 @ SV187 @ SV114 )
!= ( sK51_SY557 @ SV187 @ SV114 ) ) )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ ( sK49_SY531 @ SV187 @ SV114 ) @ ( sK51_SY557 @ SV187 @ SV114 ) ) @ SV187 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ ( sK51_SY557 @ SV187 @ SV114 ) @ ( sK49_SY531 @ SV187 @ SV114 ) ) @ SV187 ) )
= $false )
| ( ( ~ ( ~ ( total_on_b @ SV114 @ SV187 )
| ~ ! [SY531: b] :
( ~ ( member_b @ SY531 @ SV114 )
| ! [SY532: b] :
( ~ ( member_b @ SY532 @ SV114 )
| ~ ( ( SY531 != SY532 ) )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SY531 @ SY532 ) @ SV187 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SY532 @ SY531 ) @ SV187 ) ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1336]) ).
thf(1400,plain,
! [SV162: set_Product_prod_b_b,SV51: product_prod_b_b,SV118: set_Product_prod_b_b] :
( ( ( ~ ( ord_le1036320359od_b_b @ SV118 @ ( insert1952693431od_b_b @ SV51 @ SV162 ) )
| ~ ( ord_le1036320359od_b_b @ SV118 @ SV162 ) )
= $false )
| ( ( ord_le1036320359od_b_b @ SV118 @ ( insert1952693431od_b_b @ SV51 @ SV162 ) )
= $false )
| ( ( member1285940496od_b_b @ SV51 @ SV118 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1337]) ).
thf(1401,plain,
! [SV162: set_Product_prod_b_b,SV51: product_prod_b_b,SV118: set_Product_prod_b_b] :
( ( ( ~ ( ord_le1036320359od_b_b @ SV118 @ ( insert1952693431od_b_b @ SV51 @ SV162 ) )
| ~ ( ord_le1036320359od_b_b @ SV118 @ SV162 ) )
= $false )
| ( ( ord_le1036320359od_b_b @ SV118 @ SV162 )
= $false )
| ( ( member1285940496od_b_b @ SV51 @ SV118 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1338]) ).
thf(1402,plain,
! [SV54: set_Product_prod_b_b,SV120: set_Pr2007082183od_b_b] :
( ( ( ( sK20_SY468 @ SV120 @ SV54 )
= ( sK34_SY546 @ SV54 @ SV120 ) )
= $false )
| ( ( total_178717291od_b_b @ SV54 @ SV120 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1340]) ).
thf(1403,plain,
! [SV164: set_b,SV123: b,SV57: b] :
( ( ( ( SV57 != SV123 )
| ~ ( member_b @ SV57 @ SV164 ) )
= $false )
| ( ( member1285940496od_b_b @ ( product_Pair_b_b @ SV57 @ SV123 ) @ ( id_on_b @ SV164 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1344]) ).
thf(1404,plain,
! [SV123: b,SV164: set_b,SV57: b] :
( ( ( member_b @ SV57 @ SV164 )
= $false )
| ( ( SV57 = SV123 )
= $false )
| ( ( ~ ( ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SV57 @ SV123 ) @ ( id_on_b @ SV164 ) )
| ~ ~ ( ( SV57 != SV123 )
| ~ ( member_b @ SV57 @ SV164 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1345]) ).
thf(1405,plain,
! [SV167: set_Product_prod_b_b,SV126: product_prod_b_b,SV60: product_prod_b_b] :
( ( ( ( SV60 != SV126 )
| ~ ( member1285940496od_b_b @ SV60 @ SV167 ) )
= $false )
| ( ( member1652792080od_b_b @ ( produc546497367od_b_b @ SV60 @ SV126 ) @ ( id_on_2019020932od_b_b @ SV167 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1347]) ).
thf(1406,plain,
! [SV126: product_prod_b_b,SV167: set_Product_prod_b_b,SV60: product_prod_b_b] :
( ( ( member1285940496od_b_b @ SV60 @ SV167 )
= $false )
| ( ( SV60 = SV126 )
= $false )
| ( ( ~ ( ~ ( member1652792080od_b_b @ ( produc546497367od_b_b @ SV60 @ SV126 ) @ ( id_on_2019020932od_b_b @ SV167 ) )
| ~ ~ ( ( SV60 != SV126 )
| ~ ( member1285940496od_b_b @ SV60 @ SV167 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1348]) ).
thf(1407,plain,
! [SV62: set_Product_prod_b_b] :
( ( ( member1285940496od_b_b @ ( sK45_SY555 @ SV62 ) @ SV62 )
= $true )
| ( ( is_sin1713057243od_b_b @ SV62 )
= $true )
| ( ( SV62 = bot_bo1343651123od_b_b )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1350]) ).
thf(1408,plain,
! [SV129: set_Product_prod_b_b,SV192: b,SV68: set_b,SV170: b] :
( ( ( member_b @ SV170 @ SV68 )
= $true )
| ( ( member1285940496od_b_b @ ( product_Pair_b_b @ SV170 @ SV192 ) @ SV129 )
= $false )
| ( ( refl_on_b @ SV68 @ SV129 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1352]) ).
thf(1409,plain,
! [SV129: set_Product_prod_b_b,SV170: b,SV68: set_b,SV192: b] :
( ( ( member_b @ SV192 @ SV68 )
= $true )
| ( ( member1285940496od_b_b @ ( product_Pair_b_b @ SV170 @ SV192 ) @ SV129 )
= $false )
| ( ( refl_on_b @ SV68 @ SV129 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1353]) ).
thf(1410,plain,
! [SV194: set_Product_prod_b_b,SV172: product_prod_b_b,SV131: set_Product_prod_b_b,SV70: product_prod_b_b] :
( ( ( ~ ( ( ( insert1952693431od_b_b @ SV70 @ SV131 )
= ( insert1952693431od_b_b @ SV172 @ SV194 ) )
| ~ ( ~ ( ( SV70 != SV172 )
| ( SV131 = SV194 ) )
| ~ ( ~ ( ( SV70 != SV172 ) )
| ~ ! [SY538: set_Product_prod_b_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV131
!= ( insert1952693431od_b_b @ SV172 @ SY538 ) )
| ~ ~ ( member1285940496od_b_b @ SV172 @ SY538 ) )
| ( SV194
!= ( insert1952693431od_b_b @ SV70 @ SY538 ) ) )
| ~ ~ ( member1285940496od_b_b @ SV70 @ SY538 ) ) ) ) )
| ~ ( ( ( insert1952693431od_b_b @ SV70 @ SV131 )
!= ( insert1952693431od_b_b @ SV172 @ SV194 ) )
| ~ ~ ( ~ ( ( SV70 != SV172 )
| ( SV131 = SV194 ) )
| ~ ( ~ ( ( SV70 != SV172 ) )
| ~ ! [SY538: set_Product_prod_b_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV131
!= ( insert1952693431od_b_b @ SV172 @ SY538 ) )
| ~ ~ ( member1285940496od_b_b @ SV172 @ SY538 ) )
| ( SV194
!= ( insert1952693431od_b_b @ SV70 @ SY538 ) ) )
| ~ ~ ( member1285940496od_b_b @ SV70 @ SY538 ) ) ) ) ) )
= $true )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1354]) ).
thf(1411,plain,
! [SV194: set_Product_prod_b_b,SV172: product_prod_b_b,SV131: set_Product_prod_b_b,SV70: product_prod_b_b] :
( ( ( ( ( insert1952693431od_b_b @ SV70 @ SV131 )
= ( insert1952693431od_b_b @ SV172 @ SV194 ) )
= ( ~ ( ~ ( ( SV70 != SV172 )
| ( SV131 = SV194 ) )
| ~ ( ~ ( ( SV70 != SV172 ) )
| ~ ! [SY538: set_Product_prod_b_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV131
!= ( insert1952693431od_b_b @ SV172 @ SY538 ) )
| ~ ~ ( member1285940496od_b_b @ SV172 @ SY538 ) )
| ( SV194
!= ( insert1952693431od_b_b @ SV70 @ SY538 ) ) )
| ~ ~ ( member1285940496od_b_b @ SV70 @ SY538 ) ) ) ) ) )
= $true )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1354]) ).
thf(1412,plain,
! [SV173: set_Product_prod_b_b,SV132: set_Product_prod_b_b,SV71: product_prod_b_b] :
( ( ( ~ ( ( ( insert1952693431od_b_b @ SV71 @ SV132 )
= ( insert1952693431od_b_b @ SV71 @ SV173 ) )
| ( SV132 = SV173 ) ) )
= $true )
| ( ( ~ ( ( ( insert1952693431od_b_b @ SV71 @ SV132 )
!= ( insert1952693431od_b_b @ SV71 @ SV173 ) )
| ( SV132 != SV173 ) ) )
= $true )
| ( ( member1285940496od_b_b @ SV71 @ SV173 )
= $true )
| ( ( member1285940496od_b_b @ SV71 @ SV132 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1355]) ).
thf(1413,plain,
! [SV134: set_Pr2007082183od_b_b,SV195: product_prod_b_b,SV73: set_Product_prod_b_b,SV174: product_prod_b_b] :
( ( ( member1285940496od_b_b @ SV174 @ SV73 )
= $true )
| ( ( member1652792080od_b_b @ ( produc546497367od_b_b @ SV174 @ SV195 ) @ SV134 )
= $false )
| ( ( refl_o2134473190od_b_b @ SV73 @ SV134 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1357]) ).
thf(1414,plain,
! [SV134: set_Pr2007082183od_b_b,SV174: product_prod_b_b,SV73: set_Product_prod_b_b,SV195: product_prod_b_b] :
( ( ( member1285940496od_b_b @ SV195 @ SV73 )
= $true )
| ( ( member1652792080od_b_b @ ( produc546497367od_b_b @ SV174 @ SV195 ) @ SV134 )
= $false )
| ( ( refl_o2134473190od_b_b @ SV73 @ SV134 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1358]) ).
thf(1415,plain,
! [SV136: set_Product_prod_b_b,SV75: product_prod_b_b] :
( ( ( member1285940496od_b_b @ SV75 @ ( sK36_SY493 @ SV75 @ SV136 ) )
= $false )
| ( ( member1285940496od_b_b @ SV75 @ SV136 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1360]) ).
thf(1416,plain,
! [SV139: set_Product_prod_b_b,SV79: product_prod_b_b,SV5: product_prod_b_b] :
( ( ( SV5 = SV79 )
= $true )
| ( ( member1285940496od_b_b @ SV5 @ SV139 )
= $true )
| ( ( SV5 = SV79 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1364]) ).
thf(1417,plain,
! [SV139: set_Product_prod_b_b,SV79: product_prod_b_b,SV5: product_prod_b_b] :
( ( ( SV5 = SV79 )
= $true )
| ( ( member1285940496od_b_b @ SV5 @ SV139 )
= $true )
| ( ( member1285940496od_b_b @ SV5 @ SV139 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1366]) ).
thf(1418,plain,
! [SV7: set_Product_prod_b_b,SV205: product_prod_b_b] :
( ( ( member1285940496od_b_b @ SV205 @ SV7 )
= $false )
| ( ( member1285940496od_b_b @ ( sK24_SY248 @ SV7 ) @ SV7 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1367]) ).
thf(1419,plain,
! [SV208: b,SV88: set_Product_prod_b_b,SV206: b,SV203: b] :
( ( ( ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SV203 @ SV206 ) @ SV88 )
| ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SV206 @ SV208 ) @ SV88 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SV203 @ SV208 ) @ SV88 ) )
= $true )
| ( ( trans_b @ SV88 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1368]) ).
thf(1420,plain,
! [SV88: set_Product_prod_b_b] :
( ( ( ~ ( trans_b @ SV88 )
| ~ ! [SY416: b,SY417: b,SY418: b] :
( ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SY416 @ SY417 ) @ SV88 )
| ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SY417 @ SY418 ) @ SV88 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SY416 @ SY418 ) @ SV88 ) ) )
= $false )
| ( ( member1285940496od_b_b @ ( product_Pair_b_b @ ( sK38_SY416 @ SV88 ) @ ( sK43_SY551 @ SV88 ) ) @ SV88 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1369]) ).
thf(1421,plain,
! [SV88: set_Product_prod_b_b] :
( ( ( member1285940496od_b_b @ ( product_Pair_b_b @ ( sK43_SY551 @ SV88 ) @ ( sK46_SY556 @ SV88 ) ) @ SV88 )
= $true )
| ( ( ~ ( ~ ( trans_b @ SV88 )
| ~ ! [SY416: b,SY417: b,SY418: b] :
( ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SY416 @ SY417 ) @ SV88 )
| ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SY417 @ SY418 ) @ SV88 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SY416 @ SY418 ) @ SV88 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1370]) ).
thf(1422,plain,
! [SV88: set_Product_prod_b_b] :
( ( ( ~ ( trans_b @ SV88 )
| ~ ! [SY416: b,SY417: b,SY418: b] :
( ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SY416 @ SY417 ) @ SV88 )
| ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SY417 @ SY418 ) @ SV88 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SY416 @ SY418 ) @ SV88 ) ) )
= $false )
| ( ( member1285940496od_b_b @ ( product_Pair_b_b @ ( sK38_SY416 @ SV88 ) @ ( sK46_SY556 @ SV88 ) ) @ SV88 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1371]) ).
thf(1423,plain,
! [SV93: set_Product_prod_b_b,SV143: set_Product_prod_b_b,SV23: product_prod_b_b] :
( ( ( ~ ( member1285940496od_b_b @ SV23 @ SV143 ) )
= $false )
| ( ( ord_le1036320359od_b_b @ ( insert1952693431od_b_b @ SV23 @ SV93 ) @ SV143 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1373]) ).
thf(1424,plain,
! [SV23: product_prod_b_b,SV143: set_Product_prod_b_b,SV93: set_Product_prod_b_b] :
( ( ( ~ ( ord_le1036320359od_b_b @ SV93 @ SV143 ) )
= $false )
| ( ( ord_le1036320359od_b_b @ ( insert1952693431od_b_b @ SV23 @ SV93 ) @ SV143 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1373]) ).
thf(1425,plain,
! [SV143: set_Product_prod_b_b,SV93: set_Product_prod_b_b,SV23: product_prod_b_b] :
( ( ( ~ ( ord_le1036320359od_b_b @ ( insert1952693431od_b_b @ SV23 @ SV93 ) @ SV143 )
| ~ ~ ( ~ ( member1285940496od_b_b @ SV23 @ SV143 )
| ~ ( ord_le1036320359od_b_b @ SV93 @ SV143 ) ) )
= $false )
| ( ( member1285940496od_b_b @ SV23 @ SV143 )
= $false )
| ( ( ord_le1036320359od_b_b @ SV93 @ SV143 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1374]) ).
thf(1426,plain,
! [SV179: b,SV94: b,SV144: b,SV24: b] :
( ( ( ( SV24 != SV144 )
| ( SV94 != SV179 ) )
= $false )
| ( ( ( product_Pair_b_b @ SV24 @ SV94 )
= ( product_Pair_b_b @ SV144 @ SV179 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1376]) ).
thf(1427,plain,
! [SV144: b,SV24: b,SV179: b,SV94: b] :
( ( ( SV94 = SV179 )
= $false )
| ( ( SV24 = SV144 )
= $false )
| ( ( ~ ( ( ( product_Pair_b_b @ SV24 @ SV94 )
!= ( product_Pair_b_b @ SV144 @ SV179 ) )
| ~ ~ ( ( SV24 != SV144 )
| ( SV94 != SV179 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1377]) ).
thf(1428,plain,
! [SV182: b,SV100: b,SV149: b,SV31: b] :
( ( ( ( SV31 != SV149 )
| ( SV100 != SV182 ) )
= $false )
| ( ( ( product_Pair_b_b @ SV31 @ SV100 )
= ( product_Pair_b_b @ SV149 @ SV182 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1379]) ).
thf(1429,plain,
! [SV149: b,SV31: b,SV182: b,SV100: b] :
( ( ( SV100 = SV182 )
= $false )
| ( ( SV31 = SV149 )
= $false )
| ( ( ~ ( ( ( product_Pair_b_b @ SV31 @ SV100 )
!= ( product_Pair_b_b @ SV149 @ SV182 ) )
| ~ ~ ( ( SV31 != SV149 )
| ( SV100 != SV182 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1380]) ).
thf(1430,plain,
! [SV102: set_Product_prod_b_b,SV207: b,SV204: b] :
( ( ( ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SV204 @ SV207 ) @ SV102 ) )
= $true )
| ( ( member1285940496od_b_b @ ( product_Pair_b_b @ SV207 @ SV204 ) @ SV102 )
= $true )
| ( ( sym_b @ SV102 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1381]) ).
thf(1431,plain,
! [SV102: set_Product_prod_b_b] :
( ( ( ~ ( sym_b @ SV102 ) )
= $false )
| ( ( member1285940496od_b_b @ ( product_Pair_b_b @ ( sK39_SY440 @ SV102 ) @ ( sK44_SY553 @ SV102 ) ) @ SV102 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1382]) ).
thf(1432,plain,
! [SV102: set_Product_prod_b_b] :
( ( ( ~ ! [SY440: b,SY441: b] :
( ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SY440 @ SY441 ) @ SV102 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SY441 @ SY440 ) @ SV102 ) ) )
= $false )
| ( ( member1285940496od_b_b @ ( product_Pair_b_b @ ( sK39_SY440 @ SV102 ) @ ( sK44_SY553 @ SV102 ) ) @ SV102 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1382]) ).
thf(1433,plain,
! [SV102: set_Product_prod_b_b] :
( ( ( sym_b @ SV102 )
= $true )
| ( ( member1285940496od_b_b @ ( product_Pair_b_b @ ( sK44_SY553 @ SV102 ) @ ( sK39_SY440 @ SV102 ) ) @ SV102 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1383]) ).
thf(1434,plain,
! [SV102: set_Product_prod_b_b] :
( ( ( ! [SY440: b,SY441: b] :
( ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SY440 @ SY441 ) @ SV102 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SY441 @ SY440 ) @ SV102 ) ) )
= $true )
| ( ( member1285940496od_b_b @ ( product_Pair_b_b @ ( sK44_SY553 @ SV102 ) @ ( sK39_SY440 @ SV102 ) ) @ SV102 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1384]) ).
thf(1435,plain,
! [SV183: set_Product_prod_b_b,SV104: set_Product_prod_b_b,SV209: product_prod_b_b] :
( ( ( ~ ( member1285940496od_b_b @ SV209 @ SV104 )
| ( member1285940496od_b_b @ SV209 @ SV183 ) )
= $true )
| ( ( ord_le1036320359od_b_b @ SV104 @ SV183 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1386]) ).
thf(1436,plain,
! [SV183: set_Product_prod_b_b,SV104: set_Product_prod_b_b] :
( ( ( ~ ( ord_le1036320359od_b_b @ SV104 @ SV183 )
| ~ ! [SY529: product_prod_b_b] :
( ~ ( member1285940496od_b_b @ SY529 @ SV104 )
| ( member1285940496od_b_b @ SY529 @ SV183 ) ) )
= $false )
| ( ( member1285940496od_b_b @ ( sK47_SY529 @ SV183 @ SV104 ) @ SV104 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1387]) ).
thf(1437,plain,
! [SV183: set_Product_prod_b_b,SV104: set_Product_prod_b_b] :
( ( ( ~ ( ord_le1036320359od_b_b @ SV104 @ SV183 ) )
= $false )
| ( ( member1285940496od_b_b @ ( sK47_SY529 @ SV183 @ SV104 ) @ SV183 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1388]) ).
thf(1438,plain,
! [SV183: set_Product_prod_b_b,SV104: set_Product_prod_b_b] :
( ( ( ~ ! [SY529: product_prod_b_b] :
( ~ ( member1285940496od_b_b @ SY529 @ SV104 )
| ( member1285940496od_b_b @ SY529 @ SV183 ) ) )
= $false )
| ( ( member1285940496od_b_b @ ( sK47_SY529 @ SV183 @ SV104 ) @ SV183 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1388]) ).
thf(1439,plain,
! [SV184: set_Product_prod_b_b,SV105: set_Product_prod_b_b,SV210: product_prod_b_b] :
( ( ( ~ ( member1285940496od_b_b @ SV210 @ SV105 )
| ( member1285940496od_b_b @ SV210 @ SV184 ) )
= $true )
| ( ( ord_le1036320359od_b_b @ SV105 @ SV184 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1390]) ).
thf(1440,plain,
! [SV184: set_Product_prod_b_b,SV105: set_Product_prod_b_b] :
( ( ( ~ ( ord_le1036320359od_b_b @ SV105 @ SV184 )
| ~ ! [SY530: product_prod_b_b] :
( ~ ( member1285940496od_b_b @ SY530 @ SV105 )
| ( member1285940496od_b_b @ SY530 @ SV184 ) ) )
= $false )
| ( ( member1285940496od_b_b @ ( sK48_SY530 @ SV184 @ SV105 ) @ SV105 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1391]) ).
thf(1441,plain,
! [SV184: set_Product_prod_b_b,SV105: set_Product_prod_b_b] :
( ( ( ~ ( ord_le1036320359od_b_b @ SV105 @ SV184 ) )
= $false )
| ( ( member1285940496od_b_b @ ( sK48_SY530 @ SV184 @ SV105 ) @ SV184 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1392]) ).
thf(1442,plain,
! [SV184: set_Product_prod_b_b,SV105: set_Product_prod_b_b] :
( ( ( ~ ! [SY530: product_prod_b_b] :
( ~ ( member1285940496od_b_b @ SY530 @ SV105 )
| ( member1285940496od_b_b @ SY530 @ SV184 ) ) )
= $false )
| ( ( member1285940496od_b_b @ ( sK48_SY530 @ SV184 @ SV105 ) @ SV184 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1392]) ).
thf(1443,plain,
! [SV199: product_prod_b_b,SV44: set_Product_prod_b_b] :
( ( ( ! [SY329: product_prod_b_b] :
~ ( member1285940496od_b_b @ SY329 @ SV44 ) )
= $false )
| ( ( member1285940496od_b_b @ SV199 @ SV44 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1393]) ).
thf(1444,plain,
! [SV199: product_prod_b_b,SV44: set_Product_prod_b_b] :
( ( ( SV44 = bot_bo1343651123od_b_b )
= $false )
| ( ( member1285940496od_b_b @ SV199 @ SV44 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1394]) ).
thf(1445,plain,
! [SV44: set_Product_prod_b_b] :
( ( ( member1285940496od_b_b @ ( sK50_SY329 @ SV44 ) @ SV44 )
= $true )
| ( ( SV44 = bot_bo1343651123od_b_b )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1395]) ).
thf(1446,plain,
! [SV187: set_Product_prod_b_b,SV114: set_b,SV211: b] :
( ( ( ~ ( member_b @ SV211 @ SV114 )
| ! [SY562: b] :
( ~ ( member_b @ SY562 @ SV114 )
| ~ ( ( SV211 != SY562 ) )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SV211 @ SY562 ) @ SV187 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SY562 @ SV211 ) @ SV187 ) ) )
= $true )
| ( ( total_on_b @ SV114 @ SV187 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1397]) ).
thf(1447,plain,
! [SV187: set_Product_prod_b_b,SV114: set_b] :
( ( ( ~ ( total_on_b @ SV114 @ SV187 )
| ~ ! [SY531: b] :
( ~ ( member_b @ SY531 @ SV114 )
| ! [SY532: b] :
( ~ ( member_b @ SY532 @ SV114 )
| ~ ( ( SY531 != SY532 ) )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SY531 @ SY532 ) @ SV187 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SY532 @ SY531 ) @ SV187 ) ) ) )
= $false )
| ( ( member_b @ ( sK49_SY531 @ SV187 @ SV114 ) @ SV114 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1398]) ).
thf(1448,plain,
! [SV114: set_b,SV187: set_Product_prod_b_b] :
( ( ( ~ ( member_b @ ( sK51_SY557 @ SV187 @ SV114 ) @ SV114 ) )
= $false )
| ( ( ~ ( ~ ( total_on_b @ SV114 @ SV187 )
| ~ ! [SY531: b] :
( ~ ( member_b @ SY531 @ SV114 )
| ! [SY532: b] :
( ~ ( member_b @ SY532 @ SV114 )
| ~ ( ( SY531 != SY532 ) )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SY531 @ SY532 ) @ SV187 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SY532 @ SY531 ) @ SV187 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1399]) ).
thf(1449,plain,
! [SV114: set_b,SV187: set_Product_prod_b_b] :
( ( ( ~ ( ( ( sK49_SY531 @ SV187 @ SV114 )
!= ( sK51_SY557 @ SV187 @ SV114 ) ) )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ ( sK49_SY531 @ SV187 @ SV114 ) @ ( sK51_SY557 @ SV187 @ SV114 ) ) @ SV187 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ ( sK51_SY557 @ SV187 @ SV114 ) @ ( sK49_SY531 @ SV187 @ SV114 ) ) @ SV187 ) )
= $false )
| ( ( ~ ( ~ ( total_on_b @ SV114 @ SV187 )
| ~ ! [SY531: b] :
( ~ ( member_b @ SY531 @ SV114 )
| ! [SY532: b] :
( ~ ( member_b @ SY532 @ SV114 )
| ~ ( ( SY531 != SY532 ) )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SY531 @ SY532 ) @ SV187 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SY532 @ SY531 ) @ SV187 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1399]) ).
thf(1450,plain,
! [SV162: set_Product_prod_b_b,SV51: product_prod_b_b,SV118: set_Product_prod_b_b] :
( ( ( ~ ( ord_le1036320359od_b_b @ SV118 @ ( insert1952693431od_b_b @ SV51 @ SV162 ) ) )
= $false )
| ( ( ord_le1036320359od_b_b @ SV118 @ ( insert1952693431od_b_b @ SV51 @ SV162 ) )
= $false )
| ( ( member1285940496od_b_b @ SV51 @ SV118 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1400]) ).
thf(1451,plain,
! [SV51: product_prod_b_b,SV162: set_Product_prod_b_b,SV118: set_Product_prod_b_b] :
( ( ( ~ ( ord_le1036320359od_b_b @ SV118 @ SV162 ) )
= $false )
| ( ( ord_le1036320359od_b_b @ SV118 @ ( insert1952693431od_b_b @ SV51 @ SV162 ) )
= $false )
| ( ( member1285940496od_b_b @ SV51 @ SV118 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1400]) ).
thf(1452,plain,
! [SV162: set_Product_prod_b_b,SV51: product_prod_b_b,SV118: set_Product_prod_b_b] :
( ( ( ~ ( ord_le1036320359od_b_b @ SV118 @ ( insert1952693431od_b_b @ SV51 @ SV162 ) ) )
= $false )
| ( ( ord_le1036320359od_b_b @ SV118 @ SV162 )
= $false )
| ( ( member1285940496od_b_b @ SV51 @ SV118 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1401]) ).
thf(1453,plain,
! [SV51: product_prod_b_b,SV162: set_Product_prod_b_b,SV118: set_Product_prod_b_b] :
( ( ( ~ ( ord_le1036320359od_b_b @ SV118 @ SV162 ) )
= $false )
| ( ( ord_le1036320359od_b_b @ SV118 @ SV162 )
= $false )
| ( ( member1285940496od_b_b @ SV51 @ SV118 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1401]) ).
thf(1454,plain,
! [SV164: set_b,SV123: b,SV57: b] :
( ( ( SV57 != SV123 )
= $false )
| ( ( member1285940496od_b_b @ ( product_Pair_b_b @ SV57 @ SV123 ) @ ( id_on_b @ SV164 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1403]) ).
thf(1455,plain,
! [SV123: b,SV164: set_b,SV57: b] :
( ( ( ~ ( member_b @ SV57 @ SV164 ) )
= $false )
| ( ( member1285940496od_b_b @ ( product_Pair_b_b @ SV57 @ SV123 ) @ ( id_on_b @ SV164 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1403]) ).
thf(1456,plain,
! [SV164: set_b,SV123: b,SV57: b] :
( ( ( ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SV57 @ SV123 ) @ ( id_on_b @ SV164 ) )
| ~ ~ ( ( SV57 != SV123 )
| ~ ( member_b @ SV57 @ SV164 ) ) )
= $false )
| ( ( SV57 = SV123 )
= $false )
| ( ( member_b @ SV57 @ SV164 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1404]) ).
thf(1457,plain,
! [SV167: set_Product_prod_b_b,SV126: product_prod_b_b,SV60: product_prod_b_b] :
( ( ( SV60 != SV126 )
= $false )
| ( ( member1652792080od_b_b @ ( produc546497367od_b_b @ SV60 @ SV126 ) @ ( id_on_2019020932od_b_b @ SV167 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1405]) ).
thf(1458,plain,
! [SV126: product_prod_b_b,SV167: set_Product_prod_b_b,SV60: product_prod_b_b] :
( ( ( ~ ( member1285940496od_b_b @ SV60 @ SV167 ) )
= $false )
| ( ( member1652792080od_b_b @ ( produc546497367od_b_b @ SV60 @ SV126 ) @ ( id_on_2019020932od_b_b @ SV167 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1405]) ).
thf(1459,plain,
! [SV167: set_Product_prod_b_b,SV126: product_prod_b_b,SV60: product_prod_b_b] :
( ( ( ~ ( member1652792080od_b_b @ ( produc546497367od_b_b @ SV60 @ SV126 ) @ ( id_on_2019020932od_b_b @ SV167 ) )
| ~ ~ ( ( SV60 != SV126 )
| ~ ( member1285940496od_b_b @ SV60 @ SV167 ) ) )
= $false )
| ( ( SV60 = SV126 )
= $false )
| ( ( member1285940496od_b_b @ SV60 @ SV167 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1406]) ).
thf(1460,plain,
! [SV194: set_Product_prod_b_b,SV172: product_prod_b_b,SV131: set_Product_prod_b_b,SV70: product_prod_b_b] :
( ( ( ~ ( ( ( insert1952693431od_b_b @ SV70 @ SV131 )
= ( insert1952693431od_b_b @ SV172 @ SV194 ) )
| ~ ( ~ ( ( SV70 != SV172 )
| ( SV131 = SV194 ) )
| ~ ( ~ ( ( SV70 != SV172 ) )
| ~ ! [SY538: set_Product_prod_b_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV131
!= ( insert1952693431od_b_b @ SV172 @ SY538 ) )
| ~ ~ ( member1285940496od_b_b @ SV172 @ SY538 ) )
| ( SV194
!= ( insert1952693431od_b_b @ SV70 @ SY538 ) ) )
| ~ ~ ( member1285940496od_b_b @ SV70 @ SY538 ) ) ) ) ) )
= $true )
| ( ( ~ ( ( ( insert1952693431od_b_b @ SV70 @ SV131 )
!= ( insert1952693431od_b_b @ SV172 @ SV194 ) )
| ~ ~ ( ~ ( ( SV70 != SV172 )
| ( SV131 = SV194 ) )
| ~ ( ~ ( ( SV70 != SV172 ) )
| ~ ! [SY538: set_Product_prod_b_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV131
!= ( insert1952693431od_b_b @ SV172 @ SY538 ) )
| ~ ~ ( member1285940496od_b_b @ SV172 @ SY538 ) )
| ( SV194
!= ( insert1952693431od_b_b @ SV70 @ SY538 ) ) )
| ~ ~ ( member1285940496od_b_b @ SV70 @ SY538 ) ) ) ) ) )
= $true )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1410]) ).
thf(1461,plain,
! [SV173: set_Product_prod_b_b,SV132: set_Product_prod_b_b,SV71: product_prod_b_b] :
( ( ( ( ( insert1952693431od_b_b @ SV71 @ SV132 )
= ( insert1952693431od_b_b @ SV71 @ SV173 ) )
| ( SV132 = SV173 ) )
= $false )
| ( ( ~ ( ( ( insert1952693431od_b_b @ SV71 @ SV132 )
!= ( insert1952693431od_b_b @ SV71 @ SV173 ) )
| ( SV132 != SV173 ) ) )
= $true )
| ( ( member1285940496od_b_b @ SV71 @ SV173 )
= $true )
| ( ( member1285940496od_b_b @ SV71 @ SV132 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1412]) ).
thf(1462,plain,
! [SV208: b,SV88: set_Product_prod_b_b,SV206: b,SV203: b] :
( ( ( ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SV203 @ SV206 ) @ SV88 ) )
= $true )
| ( ( ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SV206 @ SV208 ) @ SV88 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SV203 @ SV208 ) @ SV88 ) )
= $true )
| ( ( trans_b @ SV88 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1419]) ).
thf(1463,plain,
! [SV88: set_Product_prod_b_b] :
( ( ( ~ ( trans_b @ SV88 ) )
= $false )
| ( ( member1285940496od_b_b @ ( product_Pair_b_b @ ( sK38_SY416 @ SV88 ) @ ( sK43_SY551 @ SV88 ) ) @ SV88 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1420]) ).
thf(1464,plain,
! [SV88: set_Product_prod_b_b] :
( ( ( ~ ! [SY416: b,SY417: b,SY418: b] :
( ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SY416 @ SY417 ) @ SV88 )
| ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SY417 @ SY418 ) @ SV88 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SY416 @ SY418 ) @ SV88 ) ) )
= $false )
| ( ( member1285940496od_b_b @ ( product_Pair_b_b @ ( sK38_SY416 @ SV88 ) @ ( sK43_SY551 @ SV88 ) ) @ SV88 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1420]) ).
thf(1465,plain,
! [SV88: set_Product_prod_b_b] :
( ( ( ~ ( trans_b @ SV88 )
| ~ ! [SY416: b,SY417: b,SY418: b] :
( ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SY416 @ SY417 ) @ SV88 )
| ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SY417 @ SY418 ) @ SV88 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SY416 @ SY418 ) @ SV88 ) ) )
= $false )
| ( ( member1285940496od_b_b @ ( product_Pair_b_b @ ( sK43_SY551 @ SV88 ) @ ( sK46_SY556 @ SV88 ) ) @ SV88 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1421]) ).
thf(1466,plain,
! [SV88: set_Product_prod_b_b] :
( ( ( ~ ( trans_b @ SV88 ) )
= $false )
| ( ( member1285940496od_b_b @ ( product_Pair_b_b @ ( sK38_SY416 @ SV88 ) @ ( sK46_SY556 @ SV88 ) ) @ SV88 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1422]) ).
thf(1467,plain,
! [SV88: set_Product_prod_b_b] :
( ( ( ~ ! [SY416: b,SY417: b,SY418: b] :
( ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SY416 @ SY417 ) @ SV88 )
| ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SY417 @ SY418 ) @ SV88 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SY416 @ SY418 ) @ SV88 ) ) )
= $false )
| ( ( member1285940496od_b_b @ ( product_Pair_b_b @ ( sK38_SY416 @ SV88 ) @ ( sK46_SY556 @ SV88 ) ) @ SV88 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1422]) ).
thf(1468,plain,
! [SV93: set_Product_prod_b_b,SV143: set_Product_prod_b_b,SV23: product_prod_b_b] :
( ( ( member1285940496od_b_b @ SV23 @ SV143 )
= $true )
| ( ( ord_le1036320359od_b_b @ ( insert1952693431od_b_b @ SV23 @ SV93 ) @ SV143 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1423]) ).
thf(1469,plain,
! [SV23: product_prod_b_b,SV143: set_Product_prod_b_b,SV93: set_Product_prod_b_b] :
( ( ( ord_le1036320359od_b_b @ SV93 @ SV143 )
= $true )
| ( ( ord_le1036320359od_b_b @ ( insert1952693431od_b_b @ SV23 @ SV93 ) @ SV143 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1424]) ).
thf(1470,plain,
! [SV143: set_Product_prod_b_b,SV93: set_Product_prod_b_b,SV23: product_prod_b_b] :
( ( ( ~ ( ord_le1036320359od_b_b @ ( insert1952693431od_b_b @ SV23 @ SV93 ) @ SV143 ) )
= $false )
| ( ( member1285940496od_b_b @ SV23 @ SV143 )
= $false )
| ( ( ord_le1036320359od_b_b @ SV93 @ SV143 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1425]) ).
thf(1471,plain,
! [SV93: set_Product_prod_b_b,SV143: set_Product_prod_b_b,SV23: product_prod_b_b] :
( ( ( ~ ~ ( ~ ( member1285940496od_b_b @ SV23 @ SV143 )
| ~ ( ord_le1036320359od_b_b @ SV93 @ SV143 ) ) )
= $false )
| ( ( member1285940496od_b_b @ SV23 @ SV143 )
= $false )
| ( ( ord_le1036320359od_b_b @ SV93 @ SV143 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1425]) ).
thf(1472,plain,
! [SV179: b,SV94: b,SV144: b,SV24: b] :
( ( ( SV24 != SV144 )
= $false )
| ( ( ( product_Pair_b_b @ SV24 @ SV94 )
= ( product_Pair_b_b @ SV144 @ SV179 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1426]) ).
thf(1473,plain,
! [SV144: b,SV24: b,SV179: b,SV94: b] :
( ( ( SV94 != SV179 )
= $false )
| ( ( ( product_Pair_b_b @ SV24 @ SV94 )
= ( product_Pair_b_b @ SV144 @ SV179 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1426]) ).
thf(1474,plain,
! [SV179: b,SV144: b,SV94: b,SV24: b] :
( ( ( ( ( product_Pair_b_b @ SV24 @ SV94 )
!= ( product_Pair_b_b @ SV144 @ SV179 ) )
| ~ ~ ( ( SV24 != SV144 )
| ( SV94 != SV179 ) ) )
= $false )
| ( ( SV24 = SV144 )
= $false )
| ( ( SV94 = SV179 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1427]) ).
thf(1475,plain,
! [SV182: b,SV100: b,SV149: b,SV31: b] :
( ( ( SV31 != SV149 )
= $false )
| ( ( ( product_Pair_b_b @ SV31 @ SV100 )
= ( product_Pair_b_b @ SV149 @ SV182 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1428]) ).
thf(1476,plain,
! [SV149: b,SV31: b,SV182: b,SV100: b] :
( ( ( SV100 != SV182 )
= $false )
| ( ( ( product_Pair_b_b @ SV31 @ SV100 )
= ( product_Pair_b_b @ SV149 @ SV182 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1428]) ).
thf(1477,plain,
! [SV182: b,SV149: b,SV100: b,SV31: b] :
( ( ( ( ( product_Pair_b_b @ SV31 @ SV100 )
!= ( product_Pair_b_b @ SV149 @ SV182 ) )
| ~ ~ ( ( SV31 != SV149 )
| ( SV100 != SV182 ) ) )
= $false )
| ( ( SV31 = SV149 )
= $false )
| ( ( SV100 = SV182 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1429]) ).
thf(1478,plain,
! [SV102: set_Product_prod_b_b,SV207: b,SV204: b] :
( ( ( member1285940496od_b_b @ ( product_Pair_b_b @ SV204 @ SV207 ) @ SV102 )
= $false )
| ( ( member1285940496od_b_b @ ( product_Pair_b_b @ SV207 @ SV204 ) @ SV102 )
= $true )
| ( ( sym_b @ SV102 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1430]) ).
thf(1479,plain,
! [SV102: set_Product_prod_b_b] :
( ( ( sym_b @ SV102 )
= $true )
| ( ( member1285940496od_b_b @ ( product_Pair_b_b @ ( sK39_SY440 @ SV102 ) @ ( sK44_SY553 @ SV102 ) ) @ SV102 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1431]) ).
thf(1480,plain,
! [SV102: set_Product_prod_b_b] :
( ( ( ! [SY440: b,SY441: b] :
( ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SY440 @ SY441 ) @ SV102 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SY441 @ SY440 ) @ SV102 ) ) )
= $true )
| ( ( member1285940496od_b_b @ ( product_Pair_b_b @ ( sK39_SY440 @ SV102 ) @ ( sK44_SY553 @ SV102 ) ) @ SV102 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1432]) ).
thf(1481,plain,
! [SV102: set_Product_prod_b_b,SV212: b] :
( ( ( ! [SY563: b] :
( ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SV212 @ SY563 ) @ SV102 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SY563 @ SV212 ) @ SV102 ) ) )
= $true )
| ( ( member1285940496od_b_b @ ( product_Pair_b_b @ ( sK44_SY553 @ SV102 ) @ ( sK39_SY440 @ SV102 ) ) @ SV102 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1434]) ).
thf(1482,plain,
! [SV183: set_Product_prod_b_b,SV104: set_Product_prod_b_b,SV209: product_prod_b_b] :
( ( ( ~ ( member1285940496od_b_b @ SV209 @ SV104 ) )
= $true )
| ( ( member1285940496od_b_b @ SV209 @ SV183 )
= $true )
| ( ( ord_le1036320359od_b_b @ SV104 @ SV183 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1435]) ).
thf(1483,plain,
! [SV183: set_Product_prod_b_b,SV104: set_Product_prod_b_b] :
( ( ( ~ ( ord_le1036320359od_b_b @ SV104 @ SV183 ) )
= $false )
| ( ( member1285940496od_b_b @ ( sK47_SY529 @ SV183 @ SV104 ) @ SV104 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1436]) ).
thf(1484,plain,
! [SV183: set_Product_prod_b_b,SV104: set_Product_prod_b_b] :
( ( ( ~ ! [SY529: product_prod_b_b] :
( ~ ( member1285940496od_b_b @ SY529 @ SV104 )
| ( member1285940496od_b_b @ SY529 @ SV183 ) ) )
= $false )
| ( ( member1285940496od_b_b @ ( sK47_SY529 @ SV183 @ SV104 ) @ SV104 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1436]) ).
thf(1485,plain,
! [SV183: set_Product_prod_b_b,SV104: set_Product_prod_b_b] :
( ( ( ord_le1036320359od_b_b @ SV104 @ SV183 )
= $true )
| ( ( member1285940496od_b_b @ ( sK47_SY529 @ SV183 @ SV104 ) @ SV183 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1437]) ).
thf(1486,plain,
! [SV183: set_Product_prod_b_b,SV104: set_Product_prod_b_b] :
( ( ( ! [SY529: product_prod_b_b] :
( ~ ( member1285940496od_b_b @ SY529 @ SV104 )
| ( member1285940496od_b_b @ SY529 @ SV183 ) ) )
= $true )
| ( ( member1285940496od_b_b @ ( sK47_SY529 @ SV183 @ SV104 ) @ SV183 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1438]) ).
thf(1487,plain,
! [SV184: set_Product_prod_b_b,SV105: set_Product_prod_b_b,SV210: product_prod_b_b] :
( ( ( ~ ( member1285940496od_b_b @ SV210 @ SV105 ) )
= $true )
| ( ( member1285940496od_b_b @ SV210 @ SV184 )
= $true )
| ( ( ord_le1036320359od_b_b @ SV105 @ SV184 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1439]) ).
thf(1488,plain,
! [SV184: set_Product_prod_b_b,SV105: set_Product_prod_b_b] :
( ( ( ~ ( ord_le1036320359od_b_b @ SV105 @ SV184 ) )
= $false )
| ( ( member1285940496od_b_b @ ( sK48_SY530 @ SV184 @ SV105 ) @ SV105 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1440]) ).
thf(1489,plain,
! [SV184: set_Product_prod_b_b,SV105: set_Product_prod_b_b] :
( ( ( ~ ! [SY530: product_prod_b_b] :
( ~ ( member1285940496od_b_b @ SY530 @ SV105 )
| ( member1285940496od_b_b @ SY530 @ SV184 ) ) )
= $false )
| ( ( member1285940496od_b_b @ ( sK48_SY530 @ SV184 @ SV105 ) @ SV105 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1440]) ).
thf(1490,plain,
! [SV184: set_Product_prod_b_b,SV105: set_Product_prod_b_b] :
( ( ( ord_le1036320359od_b_b @ SV105 @ SV184 )
= $true )
| ( ( member1285940496od_b_b @ ( sK48_SY530 @ SV184 @ SV105 ) @ SV184 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1441]) ).
thf(1491,plain,
! [SV184: set_Product_prod_b_b,SV105: set_Product_prod_b_b] :
( ( ( ! [SY530: product_prod_b_b] :
( ~ ( member1285940496od_b_b @ SY530 @ SV105 )
| ( member1285940496od_b_b @ SY530 @ SV184 ) ) )
= $true )
| ( ( member1285940496od_b_b @ ( sK48_SY530 @ SV184 @ SV105 ) @ SV184 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1442]) ).
thf(1492,plain,
! [SV44: set_Product_prod_b_b,SV199: product_prod_b_b] :
( ( ( ~ ( member1285940496od_b_b @ ( sK52_SY329 @ SV199 @ SV44 ) @ SV44 ) )
= $false )
| ( ( member1285940496od_b_b @ SV199 @ SV44 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1443]) ).
thf(1493,plain,
! [SV187: set_Product_prod_b_b,SV114: set_b,SV211: b] :
( ( ( ~ ( member_b @ SV211 @ SV114 ) )
= $true )
| ( ( ! [SY562: b] :
( ~ ( member_b @ SY562 @ SV114 )
| ~ ( ( SV211 != SY562 ) )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SV211 @ SY562 ) @ SV187 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SY562 @ SV211 ) @ SV187 ) ) )
= $true )
| ( ( total_on_b @ SV114 @ SV187 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1446]) ).
thf(1494,plain,
! [SV187: set_Product_prod_b_b,SV114: set_b] :
( ( ( ~ ( total_on_b @ SV114 @ SV187 ) )
= $false )
| ( ( member_b @ ( sK49_SY531 @ SV187 @ SV114 ) @ SV114 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1447]) ).
thf(1495,plain,
! [SV187: set_Product_prod_b_b,SV114: set_b] :
( ( ( ~ ! [SY531: b] :
( ~ ( member_b @ SY531 @ SV114 )
| ! [SY532: b] :
( ~ ( member_b @ SY532 @ SV114 )
| ~ ( ( SY531 != SY532 ) )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SY531 @ SY532 ) @ SV187 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SY532 @ SY531 ) @ SV187 ) ) ) )
= $false )
| ( ( member_b @ ( sK49_SY531 @ SV187 @ SV114 ) @ SV114 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1447]) ).
thf(1496,plain,
! [SV114: set_b,SV187: set_Product_prod_b_b] :
( ( ( member_b @ ( sK51_SY557 @ SV187 @ SV114 ) @ SV114 )
= $true )
| ( ( ~ ( ~ ( total_on_b @ SV114 @ SV187 )
| ~ ! [SY531: b] :
( ~ ( member_b @ SY531 @ SV114 )
| ! [SY532: b] :
( ~ ( member_b @ SY532 @ SV114 )
| ~ ( ( SY531 != SY532 ) )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SY531 @ SY532 ) @ SV187 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SY532 @ SY531 ) @ SV187 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1448]) ).
thf(1497,plain,
! [SV114: set_b,SV187: set_Product_prod_b_b] :
( ( ( ~ ( ( ( sK49_SY531 @ SV187 @ SV114 )
!= ( sK51_SY557 @ SV187 @ SV114 ) ) ) )
= $false )
| ( ( ~ ( ~ ( total_on_b @ SV114 @ SV187 )
| ~ ! [SY531: b] :
( ~ ( member_b @ SY531 @ SV114 )
| ! [SY532: b] :
( ~ ( member_b @ SY532 @ SV114 )
| ~ ( ( SY531 != SY532 ) )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SY531 @ SY532 ) @ SV187 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SY532 @ SY531 ) @ SV187 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1449]) ).
thf(1498,plain,
! [SV114: set_b,SV187: set_Product_prod_b_b] :
( ( ( ( member1285940496od_b_b @ ( product_Pair_b_b @ ( sK49_SY531 @ SV187 @ SV114 ) @ ( sK51_SY557 @ SV187 @ SV114 ) ) @ SV187 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ ( sK51_SY557 @ SV187 @ SV114 ) @ ( sK49_SY531 @ SV187 @ SV114 ) ) @ SV187 ) )
= $false )
| ( ( ~ ( ~ ( total_on_b @ SV114 @ SV187 )
| ~ ! [SY531: b] :
( ~ ( member_b @ SY531 @ SV114 )
| ! [SY532: b] :
( ~ ( member_b @ SY532 @ SV114 )
| ~ ( ( SY531 != SY532 ) )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SY531 @ SY532 ) @ SV187 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SY532 @ SY531 ) @ SV187 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1449]) ).
thf(1499,plain,
! [SV162: set_Product_prod_b_b,SV51: product_prod_b_b,SV118: set_Product_prod_b_b] :
( ( ( ord_le1036320359od_b_b @ SV118 @ ( insert1952693431od_b_b @ SV51 @ SV162 ) )
= $true )
| ( ( ord_le1036320359od_b_b @ SV118 @ ( insert1952693431od_b_b @ SV51 @ SV162 ) )
= $false )
| ( ( member1285940496od_b_b @ SV51 @ SV118 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1450]) ).
thf(1500,plain,
! [SV51: product_prod_b_b,SV162: set_Product_prod_b_b,SV118: set_Product_prod_b_b] :
( ( ( ord_le1036320359od_b_b @ SV118 @ SV162 )
= $true )
| ( ( ord_le1036320359od_b_b @ SV118 @ ( insert1952693431od_b_b @ SV51 @ SV162 ) )
= $false )
| ( ( member1285940496od_b_b @ SV51 @ SV118 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1451]) ).
thf(1501,plain,
! [SV162: set_Product_prod_b_b,SV51: product_prod_b_b,SV118: set_Product_prod_b_b] :
( ( ( ord_le1036320359od_b_b @ SV118 @ ( insert1952693431od_b_b @ SV51 @ SV162 ) )
= $true )
| ( ( ord_le1036320359od_b_b @ SV118 @ SV162 )
= $false )
| ( ( member1285940496od_b_b @ SV51 @ SV118 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1452]) ).
thf(1502,plain,
! [SV51: product_prod_b_b,SV162: set_Product_prod_b_b,SV118: set_Product_prod_b_b] :
( ( ( ord_le1036320359od_b_b @ SV118 @ SV162 )
= $true )
| ( ( ord_le1036320359od_b_b @ SV118 @ SV162 )
= $false )
| ( ( member1285940496od_b_b @ SV51 @ SV118 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1453]) ).
thf(1503,plain,
! [SV164: set_b,SV123: b,SV57: b] :
( ( ( SV57 = SV123 )
= $true )
| ( ( member1285940496od_b_b @ ( product_Pair_b_b @ SV57 @ SV123 ) @ ( id_on_b @ SV164 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1454]) ).
thf(1504,plain,
! [SV123: b,SV164: set_b,SV57: b] :
( ( ( member_b @ SV57 @ SV164 )
= $true )
| ( ( member1285940496od_b_b @ ( product_Pair_b_b @ SV57 @ SV123 ) @ ( id_on_b @ SV164 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1455]) ).
thf(1505,plain,
! [SV164: set_b,SV123: b,SV57: b] :
( ( ( ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SV57 @ SV123 ) @ ( id_on_b @ SV164 ) ) )
= $false )
| ( ( SV57 = SV123 )
= $false )
| ( ( member_b @ SV57 @ SV164 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1456]) ).
thf(1506,plain,
! [SV164: set_b,SV123: b,SV57: b] :
( ( ( ~ ~ ( ( SV57 != SV123 )
| ~ ( member_b @ SV57 @ SV164 ) ) )
= $false )
| ( ( SV57 = SV123 )
= $false )
| ( ( member_b @ SV57 @ SV164 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1456]) ).
thf(1507,plain,
! [SV167: set_Product_prod_b_b,SV126: product_prod_b_b,SV60: product_prod_b_b] :
( ( ( SV60 = SV126 )
= $true )
| ( ( member1652792080od_b_b @ ( produc546497367od_b_b @ SV60 @ SV126 ) @ ( id_on_2019020932od_b_b @ SV167 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1457]) ).
thf(1508,plain,
! [SV126: product_prod_b_b,SV167: set_Product_prod_b_b,SV60: product_prod_b_b] :
( ( ( member1285940496od_b_b @ SV60 @ SV167 )
= $true )
| ( ( member1652792080od_b_b @ ( produc546497367od_b_b @ SV60 @ SV126 ) @ ( id_on_2019020932od_b_b @ SV167 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1458]) ).
thf(1509,plain,
! [SV167: set_Product_prod_b_b,SV126: product_prod_b_b,SV60: product_prod_b_b] :
( ( ( ~ ( member1652792080od_b_b @ ( produc546497367od_b_b @ SV60 @ SV126 ) @ ( id_on_2019020932od_b_b @ SV167 ) ) )
= $false )
| ( ( SV60 = SV126 )
= $false )
| ( ( member1285940496od_b_b @ SV60 @ SV167 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1459]) ).
thf(1510,plain,
! [SV167: set_Product_prod_b_b,SV126: product_prod_b_b,SV60: product_prod_b_b] :
( ( ( ~ ~ ( ( SV60 != SV126 )
| ~ ( member1285940496od_b_b @ SV60 @ SV167 ) ) )
= $false )
| ( ( SV60 = SV126 )
= $false )
| ( ( member1285940496od_b_b @ SV60 @ SV167 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1459]) ).
thf(1511,plain,
! [SV194: set_Product_prod_b_b,SV172: product_prod_b_b,SV131: set_Product_prod_b_b,SV70: product_prod_b_b] :
( ( ( ( ( insert1952693431od_b_b @ SV70 @ SV131 )
= ( insert1952693431od_b_b @ SV172 @ SV194 ) )
| ~ ( ~ ( ( SV70 != SV172 )
| ( SV131 = SV194 ) )
| ~ ( ~ ( ( SV70 != SV172 ) )
| ~ ! [SY538: set_Product_prod_b_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV131
!= ( insert1952693431od_b_b @ SV172 @ SY538 ) )
| ~ ~ ( member1285940496od_b_b @ SV172 @ SY538 ) )
| ( SV194
!= ( insert1952693431od_b_b @ SV70 @ SY538 ) ) )
| ~ ~ ( member1285940496od_b_b @ SV70 @ SY538 ) ) ) ) )
= $false )
| ( ( ~ ( ( ( insert1952693431od_b_b @ SV70 @ SV131 )
!= ( insert1952693431od_b_b @ SV172 @ SV194 ) )
| ~ ~ ( ~ ( ( SV70 != SV172 )
| ( SV131 = SV194 ) )
| ~ ( ~ ( ( SV70 != SV172 ) )
| ~ ! [SY538: set_Product_prod_b_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV131
!= ( insert1952693431od_b_b @ SV172 @ SY538 ) )
| ~ ~ ( member1285940496od_b_b @ SV172 @ SY538 ) )
| ( SV194
!= ( insert1952693431od_b_b @ SV70 @ SY538 ) ) )
| ~ ~ ( member1285940496od_b_b @ SV70 @ SY538 ) ) ) ) ) )
= $true )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1460]) ).
thf(1512,plain,
! [SV173: set_Product_prod_b_b,SV132: set_Product_prod_b_b,SV71: product_prod_b_b] :
( ( ( ( insert1952693431od_b_b @ SV71 @ SV132 )
= ( insert1952693431od_b_b @ SV71 @ SV173 ) )
= $false )
| ( ( ~ ( ( ( insert1952693431od_b_b @ SV71 @ SV132 )
!= ( insert1952693431od_b_b @ SV71 @ SV173 ) )
| ( SV132 != SV173 ) ) )
= $true )
| ( ( member1285940496od_b_b @ SV71 @ SV173 )
= $true )
| ( ( member1285940496od_b_b @ SV71 @ SV132 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1461]) ).
thf(1513,plain,
! [SV71: product_prod_b_b,SV173: set_Product_prod_b_b,SV132: set_Product_prod_b_b] :
( ( ( SV132 = SV173 )
= $false )
| ( ( ~ ( ( ( insert1952693431od_b_b @ SV71 @ SV132 )
!= ( insert1952693431od_b_b @ SV71 @ SV173 ) )
| ( SV132 != SV173 ) ) )
= $true )
| ( ( member1285940496od_b_b @ SV71 @ SV173 )
= $true )
| ( ( member1285940496od_b_b @ SV71 @ SV132 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1461]) ).
thf(1514,plain,
! [SV208: b,SV88: set_Product_prod_b_b,SV206: b,SV203: b] :
( ( ( member1285940496od_b_b @ ( product_Pair_b_b @ SV203 @ SV206 ) @ SV88 )
= $false )
| ( ( ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SV206 @ SV208 ) @ SV88 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SV203 @ SV208 ) @ SV88 ) )
= $true )
| ( ( trans_b @ SV88 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1462]) ).
thf(1515,plain,
! [SV88: set_Product_prod_b_b] :
( ( ( trans_b @ SV88 )
= $true )
| ( ( member1285940496od_b_b @ ( product_Pair_b_b @ ( sK38_SY416 @ SV88 ) @ ( sK43_SY551 @ SV88 ) ) @ SV88 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1463]) ).
thf(1516,plain,
! [SV88: set_Product_prod_b_b] :
( ( ( ! [SY416: b,SY417: b,SY418: b] :
( ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SY416 @ SY417 ) @ SV88 )
| ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SY417 @ SY418 ) @ SV88 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SY416 @ SY418 ) @ SV88 ) ) )
= $true )
| ( ( member1285940496od_b_b @ ( product_Pair_b_b @ ( sK38_SY416 @ SV88 ) @ ( sK43_SY551 @ SV88 ) ) @ SV88 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1464]) ).
thf(1517,plain,
! [SV88: set_Product_prod_b_b] :
( ( ( ~ ( trans_b @ SV88 ) )
= $false )
| ( ( member1285940496od_b_b @ ( product_Pair_b_b @ ( sK43_SY551 @ SV88 ) @ ( sK46_SY556 @ SV88 ) ) @ SV88 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1465]) ).
thf(1518,plain,
! [SV88: set_Product_prod_b_b] :
( ( ( ~ ! [SY416: b,SY417: b,SY418: b] :
( ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SY416 @ SY417 ) @ SV88 )
| ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SY417 @ SY418 ) @ SV88 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SY416 @ SY418 ) @ SV88 ) ) )
= $false )
| ( ( member1285940496od_b_b @ ( product_Pair_b_b @ ( sK43_SY551 @ SV88 ) @ ( sK46_SY556 @ SV88 ) ) @ SV88 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1465]) ).
thf(1519,plain,
! [SV88: set_Product_prod_b_b] :
( ( ( trans_b @ SV88 )
= $true )
| ( ( member1285940496od_b_b @ ( product_Pair_b_b @ ( sK38_SY416 @ SV88 ) @ ( sK46_SY556 @ SV88 ) ) @ SV88 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1466]) ).
thf(1520,plain,
! [SV88: set_Product_prod_b_b] :
( ( ( ! [SY416: b,SY417: b,SY418: b] :
( ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SY416 @ SY417 ) @ SV88 )
| ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SY417 @ SY418 ) @ SV88 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SY416 @ SY418 ) @ SV88 ) ) )
= $true )
| ( ( member1285940496od_b_b @ ( product_Pair_b_b @ ( sK38_SY416 @ SV88 ) @ ( sK46_SY556 @ SV88 ) ) @ SV88 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1467]) ).
thf(1521,plain,
! [SV143: set_Product_prod_b_b,SV93: set_Product_prod_b_b,SV23: product_prod_b_b] :
( ( ( ord_le1036320359od_b_b @ ( insert1952693431od_b_b @ SV23 @ SV93 ) @ SV143 )
= $true )
| ( ( member1285940496od_b_b @ SV23 @ SV143 )
= $false )
| ( ( ord_le1036320359od_b_b @ SV93 @ SV143 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1470]) ).
thf(1522,plain,
! [SV93: set_Product_prod_b_b,SV143: set_Product_prod_b_b,SV23: product_prod_b_b] :
( ( ( ~ ( ~ ( member1285940496od_b_b @ SV23 @ SV143 )
| ~ ( ord_le1036320359od_b_b @ SV93 @ SV143 ) ) )
= $true )
| ( ( member1285940496od_b_b @ SV23 @ SV143 )
= $false )
| ( ( ord_le1036320359od_b_b @ SV93 @ SV143 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1471]) ).
thf(1523,plain,
! [SV179: b,SV94: b,SV144: b,SV24: b] :
( ( ( SV24 = SV144 )
= $true )
| ( ( ( product_Pair_b_b @ SV24 @ SV94 )
= ( product_Pair_b_b @ SV144 @ SV179 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1472]) ).
thf(1524,plain,
! [SV144: b,SV24: b,SV179: b,SV94: b] :
( ( ( SV94 = SV179 )
= $true )
| ( ( ( product_Pair_b_b @ SV24 @ SV94 )
= ( product_Pair_b_b @ SV144 @ SV179 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1473]) ).
thf(1525,plain,
! [SV179: b,SV144: b,SV94: b,SV24: b] :
( ( ( ( product_Pair_b_b @ SV24 @ SV94 )
!= ( product_Pair_b_b @ SV144 @ SV179 ) )
= $false )
| ( ( SV24 = SV144 )
= $false )
| ( ( SV94 = SV179 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1474]) ).
thf(1526,plain,
! [SV179: b,SV94: b,SV144: b,SV24: b] :
( ( ( ~ ~ ( ( SV24 != SV144 )
| ( SV94 != SV179 ) ) )
= $false )
| ( ( SV24 = SV144 )
= $false )
| ( ( SV94 = SV179 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1474]) ).
thf(1527,plain,
! [SV182: b,SV100: b,SV149: b,SV31: b] :
( ( ( SV31 = SV149 )
= $true )
| ( ( ( product_Pair_b_b @ SV31 @ SV100 )
= ( product_Pair_b_b @ SV149 @ SV182 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1475]) ).
thf(1528,plain,
! [SV149: b,SV31: b,SV182: b,SV100: b] :
( ( ( SV100 = SV182 )
= $true )
| ( ( ( product_Pair_b_b @ SV31 @ SV100 )
= ( product_Pair_b_b @ SV149 @ SV182 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1476]) ).
thf(1529,plain,
! [SV182: b,SV149: b,SV100: b,SV31: b] :
( ( ( ( product_Pair_b_b @ SV31 @ SV100 )
!= ( product_Pair_b_b @ SV149 @ SV182 ) )
= $false )
| ( ( SV31 = SV149 )
= $false )
| ( ( SV100 = SV182 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1477]) ).
thf(1530,plain,
! [SV182: b,SV100: b,SV149: b,SV31: b] :
( ( ( ~ ~ ( ( SV31 != SV149 )
| ( SV100 != SV182 ) ) )
= $false )
| ( ( SV31 = SV149 )
= $false )
| ( ( SV100 = SV182 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1477]) ).
thf(1531,plain,
! [SV102: set_Product_prod_b_b,SV213: b] :
( ( ( ! [SY564: b] :
( ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SV213 @ SY564 ) @ SV102 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SY564 @ SV213 ) @ SV102 ) ) )
= $true )
| ( ( member1285940496od_b_b @ ( product_Pair_b_b @ ( sK39_SY440 @ SV102 ) @ ( sK44_SY553 @ SV102 ) ) @ SV102 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1480]) ).
thf(1532,plain,
! [SV102: set_Product_prod_b_b,SV214: b,SV212: b] :
( ( ( ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SV212 @ SV214 ) @ SV102 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SV214 @ SV212 ) @ SV102 ) )
= $true )
| ( ( member1285940496od_b_b @ ( product_Pair_b_b @ ( sK44_SY553 @ SV102 ) @ ( sK39_SY440 @ SV102 ) ) @ SV102 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1481]) ).
thf(1533,plain,
! [SV183: set_Product_prod_b_b,SV104: set_Product_prod_b_b,SV209: product_prod_b_b] :
( ( ( member1285940496od_b_b @ SV209 @ SV104 )
= $false )
| ( ( member1285940496od_b_b @ SV209 @ SV183 )
= $true )
| ( ( ord_le1036320359od_b_b @ SV104 @ SV183 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1482]) ).
thf(1534,plain,
! [SV183: set_Product_prod_b_b,SV104: set_Product_prod_b_b] :
( ( ( ord_le1036320359od_b_b @ SV104 @ SV183 )
= $true )
| ( ( member1285940496od_b_b @ ( sK47_SY529 @ SV183 @ SV104 ) @ SV104 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1483]) ).
thf(1535,plain,
! [SV183: set_Product_prod_b_b,SV104: set_Product_prod_b_b] :
( ( ( ! [SY529: product_prod_b_b] :
( ~ ( member1285940496od_b_b @ SY529 @ SV104 )
| ( member1285940496od_b_b @ SY529 @ SV183 ) ) )
= $true )
| ( ( member1285940496od_b_b @ ( sK47_SY529 @ SV183 @ SV104 ) @ SV104 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1484]) ).
thf(1536,plain,
! [SV183: set_Product_prod_b_b,SV104: set_Product_prod_b_b,SV215: product_prod_b_b] :
( ( ( ~ ( member1285940496od_b_b @ SV215 @ SV104 )
| ( member1285940496od_b_b @ SV215 @ SV183 ) )
= $true )
| ( ( member1285940496od_b_b @ ( sK47_SY529 @ SV183 @ SV104 ) @ SV183 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1486]) ).
thf(1537,plain,
! [SV184: set_Product_prod_b_b,SV105: set_Product_prod_b_b,SV210: product_prod_b_b] :
( ( ( member1285940496od_b_b @ SV210 @ SV105 )
= $false )
| ( ( member1285940496od_b_b @ SV210 @ SV184 )
= $true )
| ( ( ord_le1036320359od_b_b @ SV105 @ SV184 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1487]) ).
thf(1538,plain,
! [SV184: set_Product_prod_b_b,SV105: set_Product_prod_b_b] :
( ( ( ord_le1036320359od_b_b @ SV105 @ SV184 )
= $true )
| ( ( member1285940496od_b_b @ ( sK48_SY530 @ SV184 @ SV105 ) @ SV105 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1488]) ).
thf(1539,plain,
! [SV184: set_Product_prod_b_b,SV105: set_Product_prod_b_b] :
( ( ( ! [SY530: product_prod_b_b] :
( ~ ( member1285940496od_b_b @ SY530 @ SV105 )
| ( member1285940496od_b_b @ SY530 @ SV184 ) ) )
= $true )
| ( ( member1285940496od_b_b @ ( sK48_SY530 @ SV184 @ SV105 ) @ SV105 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1489]) ).
thf(1540,plain,
! [SV184: set_Product_prod_b_b,SV105: set_Product_prod_b_b,SV216: product_prod_b_b] :
( ( ( ~ ( member1285940496od_b_b @ SV216 @ SV105 )
| ( member1285940496od_b_b @ SV216 @ SV184 ) )
= $true )
| ( ( member1285940496od_b_b @ ( sK48_SY530 @ SV184 @ SV105 ) @ SV184 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1491]) ).
thf(1541,plain,
! [SV44: set_Product_prod_b_b,SV199: product_prod_b_b] :
( ( ( member1285940496od_b_b @ ( sK52_SY329 @ SV199 @ SV44 ) @ SV44 )
= $true )
| ( ( member1285940496od_b_b @ SV199 @ SV44 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1492]) ).
thf(1542,plain,
! [SV187: set_Product_prod_b_b,SV114: set_b,SV211: b] :
( ( ( member_b @ SV211 @ SV114 )
= $false )
| ( ( ! [SY562: b] :
( ~ ( member_b @ SY562 @ SV114 )
| ~ ( ( SV211 != SY562 ) )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SV211 @ SY562 ) @ SV187 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SY562 @ SV211 ) @ SV187 ) ) )
= $true )
| ( ( total_on_b @ SV114 @ SV187 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1493]) ).
thf(1543,plain,
! [SV187: set_Product_prod_b_b,SV114: set_b] :
( ( ( total_on_b @ SV114 @ SV187 )
= $true )
| ( ( member_b @ ( sK49_SY531 @ SV187 @ SV114 ) @ SV114 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1494]) ).
thf(1544,plain,
! [SV187: set_Product_prod_b_b,SV114: set_b] :
( ( ( ! [SY531: b] :
( ~ ( member_b @ SY531 @ SV114 )
| ! [SY532: b] :
( ~ ( member_b @ SY532 @ SV114 )
| ~ ( ( SY531 != SY532 ) )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SY531 @ SY532 ) @ SV187 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SY532 @ SY531 ) @ SV187 ) ) ) )
= $true )
| ( ( member_b @ ( sK49_SY531 @ SV187 @ SV114 ) @ SV114 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1495]) ).
thf(1545,plain,
! [SV187: set_Product_prod_b_b,SV114: set_b] :
( ( ( ~ ( total_on_b @ SV114 @ SV187 )
| ~ ! [SY531: b] :
( ~ ( member_b @ SY531 @ SV114 )
| ! [SY532: b] :
( ~ ( member_b @ SY532 @ SV114 )
| ~ ( ( SY531 != SY532 ) )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SY531 @ SY532 ) @ SV187 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SY532 @ SY531 ) @ SV187 ) ) ) )
= $false )
| ( ( member_b @ ( sK51_SY557 @ SV187 @ SV114 ) @ SV114 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1496]) ).
thf(1546,plain,
! [SV114: set_b,SV187: set_Product_prod_b_b] :
( ( ( ( sK49_SY531 @ SV187 @ SV114 )
!= ( sK51_SY557 @ SV187 @ SV114 ) )
= $true )
| ( ( ~ ( ~ ( total_on_b @ SV114 @ SV187 )
| ~ ! [SY531: b] :
( ~ ( member_b @ SY531 @ SV114 )
| ! [SY532: b] :
( ~ ( member_b @ SY532 @ SV114 )
| ~ ( ( SY531 != SY532 ) )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SY531 @ SY532 ) @ SV187 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SY532 @ SY531 ) @ SV187 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1497]) ).
thf(1547,plain,
! [SV114: set_b,SV187: set_Product_prod_b_b] :
( ( ( member1285940496od_b_b @ ( product_Pair_b_b @ ( sK49_SY531 @ SV187 @ SV114 ) @ ( sK51_SY557 @ SV187 @ SV114 ) ) @ SV187 )
= $false )
| ( ( ~ ( ~ ( total_on_b @ SV114 @ SV187 )
| ~ ! [SY531: b] :
( ~ ( member_b @ SY531 @ SV114 )
| ! [SY532: b] :
( ~ ( member_b @ SY532 @ SV114 )
| ~ ( ( SY531 != SY532 ) )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SY531 @ SY532 ) @ SV187 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SY532 @ SY531 ) @ SV187 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1498]) ).
thf(1548,plain,
! [SV114: set_b,SV187: set_Product_prod_b_b] :
( ( ( member1285940496od_b_b @ ( product_Pair_b_b @ ( sK51_SY557 @ SV187 @ SV114 ) @ ( sK49_SY531 @ SV187 @ SV114 ) ) @ SV187 )
= $false )
| ( ( ~ ( ~ ( total_on_b @ SV114 @ SV187 )
| ~ ! [SY531: b] :
( ~ ( member_b @ SY531 @ SV114 )
| ! [SY532: b] :
( ~ ( member_b @ SY532 @ SV114 )
| ~ ( ( SY531 != SY532 ) )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SY531 @ SY532 ) @ SV187 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SY532 @ SY531 ) @ SV187 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1498]) ).
thf(1549,plain,
! [SV164: set_b,SV123: b,SV57: b] :
( ( ( member1285940496od_b_b @ ( product_Pair_b_b @ SV57 @ SV123 ) @ ( id_on_b @ SV164 ) )
= $true )
| ( ( SV57 = SV123 )
= $false )
| ( ( member_b @ SV57 @ SV164 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1505]) ).
thf(1550,plain,
! [SV164: set_b,SV123: b,SV57: b] :
( ( ( ~ ( ( SV57 != SV123 )
| ~ ( member_b @ SV57 @ SV164 ) ) )
= $true )
| ( ( SV57 = SV123 )
= $false )
| ( ( member_b @ SV57 @ SV164 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1506]) ).
thf(1551,plain,
! [SV167: set_Product_prod_b_b,SV126: product_prod_b_b,SV60: product_prod_b_b] :
( ( ( member1652792080od_b_b @ ( produc546497367od_b_b @ SV60 @ SV126 ) @ ( id_on_2019020932od_b_b @ SV167 ) )
= $true )
| ( ( SV60 = SV126 )
= $false )
| ( ( member1285940496od_b_b @ SV60 @ SV167 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1509]) ).
thf(1552,plain,
! [SV167: set_Product_prod_b_b,SV126: product_prod_b_b,SV60: product_prod_b_b] :
( ( ( ~ ( ( SV60 != SV126 )
| ~ ( member1285940496od_b_b @ SV60 @ SV167 ) ) )
= $true )
| ( ( SV60 = SV126 )
= $false )
| ( ( member1285940496od_b_b @ SV60 @ SV167 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1510]) ).
thf(1553,plain,
! [SV194: set_Product_prod_b_b,SV172: product_prod_b_b,SV131: set_Product_prod_b_b,SV70: product_prod_b_b] :
( ( ( ( insert1952693431od_b_b @ SV70 @ SV131 )
= ( insert1952693431od_b_b @ SV172 @ SV194 ) )
= $false )
| ( ( ~ ( ( ( insert1952693431od_b_b @ SV70 @ SV131 )
!= ( insert1952693431od_b_b @ SV172 @ SV194 ) )
| ~ ~ ( ~ ( ( SV70 != SV172 )
| ( SV131 = SV194 ) )
| ~ ( ~ ( ( SV70 != SV172 ) )
| ~ ! [SY538: set_Product_prod_b_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV131
!= ( insert1952693431od_b_b @ SV172 @ SY538 ) )
| ~ ~ ( member1285940496od_b_b @ SV172 @ SY538 ) )
| ( SV194
!= ( insert1952693431od_b_b @ SV70 @ SY538 ) ) )
| ~ ~ ( member1285940496od_b_b @ SV70 @ SY538 ) ) ) ) ) )
= $true )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1511]) ).
thf(1554,plain,
! [SV194: set_Product_prod_b_b,SV131: set_Product_prod_b_b,SV172: product_prod_b_b,SV70: product_prod_b_b] :
( ( ( ~ ( ~ ( ( SV70 != SV172 )
| ( SV131 = SV194 ) )
| ~ ( ~ ( ( SV70 != SV172 ) )
| ~ ! [SY538: set_Product_prod_b_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV131
!= ( insert1952693431od_b_b @ SV172 @ SY538 ) )
| ~ ~ ( member1285940496od_b_b @ SV172 @ SY538 ) )
| ( SV194
!= ( insert1952693431od_b_b @ SV70 @ SY538 ) ) )
| ~ ~ ( member1285940496od_b_b @ SV70 @ SY538 ) ) ) ) )
= $false )
| ( ( ~ ( ( ( insert1952693431od_b_b @ SV70 @ SV131 )
!= ( insert1952693431od_b_b @ SV172 @ SV194 ) )
| ~ ~ ( ~ ( ( SV70 != SV172 )
| ( SV131 = SV194 ) )
| ~ ( ~ ( ( SV70 != SV172 ) )
| ~ ! [SY538: set_Product_prod_b_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV131
!= ( insert1952693431od_b_b @ SV172 @ SY538 ) )
| ~ ~ ( member1285940496od_b_b @ SV172 @ SY538 ) )
| ( SV194
!= ( insert1952693431od_b_b @ SV70 @ SY538 ) ) )
| ~ ~ ( member1285940496od_b_b @ SV70 @ SY538 ) ) ) ) ) )
= $true )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1511]) ).
thf(1555,plain,
! [SV173: set_Product_prod_b_b,SV132: set_Product_prod_b_b,SV71: product_prod_b_b] :
( ( ( ( ( insert1952693431od_b_b @ SV71 @ SV132 )
!= ( insert1952693431od_b_b @ SV71 @ SV173 ) )
| ( SV132 != SV173 ) )
= $false )
| ( ( ( insert1952693431od_b_b @ SV71 @ SV132 )
= ( insert1952693431od_b_b @ SV71 @ SV173 ) )
= $false )
| ( ( member1285940496od_b_b @ SV71 @ SV173 )
= $true )
| ( ( member1285940496od_b_b @ SV71 @ SV132 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1512]) ).
thf(1556,plain,
! [SV173: set_Product_prod_b_b,SV132: set_Product_prod_b_b,SV71: product_prod_b_b] :
( ( ( ( ( insert1952693431od_b_b @ SV71 @ SV132 )
!= ( insert1952693431od_b_b @ SV71 @ SV173 ) )
| ( SV132 != SV173 ) )
= $false )
| ( ( SV132 = SV173 )
= $false )
| ( ( member1285940496od_b_b @ SV71 @ SV173 )
= $true )
| ( ( member1285940496od_b_b @ SV71 @ SV132 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1513]) ).
thf(1557,plain,
! [SV203: b,SV88: set_Product_prod_b_b,SV208: b,SV206: b] :
( ( ( ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SV206 @ SV208 ) @ SV88 ) )
= $true )
| ( ( member1285940496od_b_b @ ( product_Pair_b_b @ SV203 @ SV208 ) @ SV88 )
= $true )
| ( ( member1285940496od_b_b @ ( product_Pair_b_b @ SV203 @ SV206 ) @ SV88 )
= $false )
| ( ( trans_b @ SV88 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1514]) ).
thf(1558,plain,
! [SV88: set_Product_prod_b_b,SV217: b] :
( ( ( ! [SY565: b,SY566: b] :
( ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SV217 @ SY565 ) @ SV88 )
| ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SY565 @ SY566 ) @ SV88 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SV217 @ SY566 ) @ SV88 ) ) )
= $true )
| ( ( member1285940496od_b_b @ ( product_Pair_b_b @ ( sK38_SY416 @ SV88 ) @ ( sK43_SY551 @ SV88 ) ) @ SV88 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1516]) ).
thf(1559,plain,
! [SV88: set_Product_prod_b_b] :
( ( ( trans_b @ SV88 )
= $true )
| ( ( member1285940496od_b_b @ ( product_Pair_b_b @ ( sK43_SY551 @ SV88 ) @ ( sK46_SY556 @ SV88 ) ) @ SV88 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1517]) ).
thf(1560,plain,
! [SV88: set_Product_prod_b_b] :
( ( ( ! [SY416: b,SY417: b,SY418: b] :
( ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SY416 @ SY417 ) @ SV88 )
| ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SY417 @ SY418 ) @ SV88 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SY416 @ SY418 ) @ SV88 ) ) )
= $true )
| ( ( member1285940496od_b_b @ ( product_Pair_b_b @ ( sK43_SY551 @ SV88 ) @ ( sK46_SY556 @ SV88 ) ) @ SV88 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1518]) ).
thf(1561,plain,
! [SV88: set_Product_prod_b_b,SV218: b] :
( ( ( ! [SY567: b,SY568: b] :
( ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SV218 @ SY567 ) @ SV88 )
| ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SY567 @ SY568 ) @ SV88 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SV218 @ SY568 ) @ SV88 ) ) )
= $true )
| ( ( member1285940496od_b_b @ ( product_Pair_b_b @ ( sK38_SY416 @ SV88 ) @ ( sK46_SY556 @ SV88 ) ) @ SV88 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1520]) ).
thf(1562,plain,
! [SV93: set_Product_prod_b_b,SV143: set_Product_prod_b_b,SV23: product_prod_b_b] :
( ( ( ~ ( member1285940496od_b_b @ SV23 @ SV143 )
| ~ ( ord_le1036320359od_b_b @ SV93 @ SV143 ) )
= $false )
| ( ( member1285940496od_b_b @ SV23 @ SV143 )
= $false )
| ( ( ord_le1036320359od_b_b @ SV93 @ SV143 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1522]) ).
thf(1563,plain,
! [SV179: b,SV144: b,SV94: b,SV24: b] :
( ( ( ( product_Pair_b_b @ SV24 @ SV94 )
= ( product_Pair_b_b @ SV144 @ SV179 ) )
= $true )
| ( ( SV24 = SV144 )
= $false )
| ( ( SV94 = SV179 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1525]) ).
thf(1564,plain,
! [SV179: b,SV94: b,SV144: b,SV24: b] :
( ( ( ~ ( ( SV24 != SV144 )
| ( SV94 != SV179 ) ) )
= $true )
| ( ( SV24 = SV144 )
= $false )
| ( ( SV94 = SV179 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1526]) ).
thf(1565,plain,
! [SV182: b,SV149: b,SV100: b,SV31: b] :
( ( ( ( product_Pair_b_b @ SV31 @ SV100 )
= ( product_Pair_b_b @ SV149 @ SV182 ) )
= $true )
| ( ( SV31 = SV149 )
= $false )
| ( ( SV100 = SV182 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1529]) ).
thf(1566,plain,
! [SV182: b,SV100: b,SV149: b,SV31: b] :
( ( ( ~ ( ( SV31 != SV149 )
| ( SV100 != SV182 ) ) )
= $true )
| ( ( SV31 = SV149 )
= $false )
| ( ( SV100 = SV182 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1530]) ).
thf(1567,plain,
! [SV102: set_Product_prod_b_b,SV219: b,SV213: b] :
( ( ( ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SV213 @ SV219 ) @ SV102 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SV219 @ SV213 ) @ SV102 ) )
= $true )
| ( ( member1285940496od_b_b @ ( product_Pair_b_b @ ( sK39_SY440 @ SV102 ) @ ( sK44_SY553 @ SV102 ) ) @ SV102 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1531]) ).
thf(1568,plain,
! [SV102: set_Product_prod_b_b,SV214: b,SV212: b] :
( ( ( ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SV212 @ SV214 ) @ SV102 ) )
= $true )
| ( ( member1285940496od_b_b @ ( product_Pair_b_b @ SV214 @ SV212 ) @ SV102 )
= $true )
| ( ( member1285940496od_b_b @ ( product_Pair_b_b @ ( sK44_SY553 @ SV102 ) @ ( sK39_SY440 @ SV102 ) ) @ SV102 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1532]) ).
thf(1569,plain,
! [SV183: set_Product_prod_b_b,SV104: set_Product_prod_b_b,SV220: product_prod_b_b] :
( ( ( ~ ( member1285940496od_b_b @ SV220 @ SV104 )
| ( member1285940496od_b_b @ SV220 @ SV183 ) )
= $true )
| ( ( member1285940496od_b_b @ ( sK47_SY529 @ SV183 @ SV104 ) @ SV104 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1535]) ).
thf(1570,plain,
! [SV183: set_Product_prod_b_b,SV104: set_Product_prod_b_b,SV215: product_prod_b_b] :
( ( ( ~ ( member1285940496od_b_b @ SV215 @ SV104 ) )
= $true )
| ( ( member1285940496od_b_b @ SV215 @ SV183 )
= $true )
| ( ( member1285940496od_b_b @ ( sK47_SY529 @ SV183 @ SV104 ) @ SV183 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1536]) ).
thf(1571,plain,
! [SV184: set_Product_prod_b_b,SV105: set_Product_prod_b_b,SV221: product_prod_b_b] :
( ( ( ~ ( member1285940496od_b_b @ SV221 @ SV105 )
| ( member1285940496od_b_b @ SV221 @ SV184 ) )
= $true )
| ( ( member1285940496od_b_b @ ( sK48_SY530 @ SV184 @ SV105 ) @ SV105 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1539]) ).
thf(1572,plain,
! [SV184: set_Product_prod_b_b,SV105: set_Product_prod_b_b,SV216: product_prod_b_b] :
( ( ( ~ ( member1285940496od_b_b @ SV216 @ SV105 ) )
= $true )
| ( ( member1285940496od_b_b @ SV216 @ SV184 )
= $true )
| ( ( member1285940496od_b_b @ ( sK48_SY530 @ SV184 @ SV105 ) @ SV184 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1540]) ).
thf(1573,plain,
! [SV187: set_Product_prod_b_b,SV211: b,SV114: set_b,SV222: b] :
( ( ( ~ ( member_b @ SV222 @ SV114 )
| ~ ( ( SV211 != SV222 ) )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SV211 @ SV222 ) @ SV187 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SV222 @ SV211 ) @ SV187 ) )
= $true )
| ( ( member_b @ SV211 @ SV114 )
= $false )
| ( ( total_on_b @ SV114 @ SV187 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1542]) ).
thf(1574,plain,
! [SV187: set_Product_prod_b_b,SV114: set_b,SV223: b] :
( ( ( ~ ( member_b @ SV223 @ SV114 )
| ! [SY569: b] :
( ~ ( member_b @ SY569 @ SV114 )
| ~ ( ( SV223 != SY569 ) )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SV223 @ SY569 ) @ SV187 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SY569 @ SV223 ) @ SV187 ) ) )
= $true )
| ( ( member_b @ ( sK49_SY531 @ SV187 @ SV114 ) @ SV114 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1544]) ).
thf(1575,plain,
! [SV187: set_Product_prod_b_b,SV114: set_b] :
( ( ( ~ ( total_on_b @ SV114 @ SV187 ) )
= $false )
| ( ( member_b @ ( sK51_SY557 @ SV187 @ SV114 ) @ SV114 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1545]) ).
thf(1576,plain,
! [SV187: set_Product_prod_b_b,SV114: set_b] :
( ( ( ~ ! [SY531: b] :
( ~ ( member_b @ SY531 @ SV114 )
| ! [SY532: b] :
( ~ ( member_b @ SY532 @ SV114 )
| ~ ( ( SY531 != SY532 ) )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SY531 @ SY532 ) @ SV187 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SY532 @ SY531 ) @ SV187 ) ) ) )
= $false )
| ( ( member_b @ ( sK51_SY557 @ SV187 @ SV114 ) @ SV114 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1545]) ).
thf(1577,plain,
! [SV114: set_b,SV187: set_Product_prod_b_b] :
( ( ( ( sK49_SY531 @ SV187 @ SV114 )
= ( sK51_SY557 @ SV187 @ SV114 ) )
= $false )
| ( ( ~ ( ~ ( total_on_b @ SV114 @ SV187 )
| ~ ! [SY531: b] :
( ~ ( member_b @ SY531 @ SV114 )
| ! [SY532: b] :
( ~ ( member_b @ SY532 @ SV114 )
| ~ ( ( SY531 != SY532 ) )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SY531 @ SY532 ) @ SV187 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SY532 @ SY531 ) @ SV187 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1546]) ).
thf(1578,plain,
! [SV187: set_Product_prod_b_b,SV114: set_b] :
( ( ( ~ ( total_on_b @ SV114 @ SV187 )
| ~ ! [SY531: b] :
( ~ ( member_b @ SY531 @ SV114 )
| ! [SY532: b] :
( ~ ( member_b @ SY532 @ SV114 )
| ~ ( ( SY531 != SY532 ) )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SY531 @ SY532 ) @ SV187 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SY532 @ SY531 ) @ SV187 ) ) ) )
= $false )
| ( ( member1285940496od_b_b @ ( product_Pair_b_b @ ( sK49_SY531 @ SV187 @ SV114 ) @ ( sK51_SY557 @ SV187 @ SV114 ) ) @ SV187 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1547]) ).
thf(1579,plain,
! [SV187: set_Product_prod_b_b,SV114: set_b] :
( ( ( ~ ( total_on_b @ SV114 @ SV187 )
| ~ ! [SY531: b] :
( ~ ( member_b @ SY531 @ SV114 )
| ! [SY532: b] :
( ~ ( member_b @ SY532 @ SV114 )
| ~ ( ( SY531 != SY532 ) )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SY531 @ SY532 ) @ SV187 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SY532 @ SY531 ) @ SV187 ) ) ) )
= $false )
| ( ( member1285940496od_b_b @ ( product_Pair_b_b @ ( sK51_SY557 @ SV187 @ SV114 ) @ ( sK49_SY531 @ SV187 @ SV114 ) ) @ SV187 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1548]) ).
thf(1580,plain,
! [SV164: set_b,SV123: b,SV57: b] :
( ( ( ( SV57 != SV123 )
| ~ ( member_b @ SV57 @ SV164 ) )
= $false )
| ( ( SV57 = SV123 )
= $false )
| ( ( member_b @ SV57 @ SV164 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1550]) ).
thf(1581,plain,
! [SV167: set_Product_prod_b_b,SV126: product_prod_b_b,SV60: product_prod_b_b] :
( ( ( ( SV60 != SV126 )
| ~ ( member1285940496od_b_b @ SV60 @ SV167 ) )
= $false )
| ( ( SV60 = SV126 )
= $false )
| ( ( member1285940496od_b_b @ SV60 @ SV167 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1552]) ).
thf(1582,plain,
! [SV194: set_Product_prod_b_b,SV172: product_prod_b_b,SV131: set_Product_prod_b_b,SV70: product_prod_b_b] :
( ( ( ( ( insert1952693431od_b_b @ SV70 @ SV131 )
!= ( insert1952693431od_b_b @ SV172 @ SV194 ) )
| ~ ~ ( ~ ( ( SV70 != SV172 )
| ( SV131 = SV194 ) )
| ~ ( ~ ( ( SV70 != SV172 ) )
| ~ ! [SY538: set_Product_prod_b_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV131
!= ( insert1952693431od_b_b @ SV172 @ SY538 ) )
| ~ ~ ( member1285940496od_b_b @ SV172 @ SY538 ) )
| ( SV194
!= ( insert1952693431od_b_b @ SV70 @ SY538 ) ) )
| ~ ~ ( member1285940496od_b_b @ SV70 @ SY538 ) ) ) ) )
= $false )
| ( ( ( insert1952693431od_b_b @ SV70 @ SV131 )
= ( insert1952693431od_b_b @ SV172 @ SV194 ) )
= $false )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1553]) ).
thf(1583,plain,
! [SV194: set_Product_prod_b_b,SV131: set_Product_prod_b_b,SV172: product_prod_b_b,SV70: product_prod_b_b] :
( ( ( ~ ( ( SV70 != SV172 )
| ( SV131 = SV194 ) )
| ~ ( ~ ( ( SV70 != SV172 ) )
| ~ ! [SY538: set_Product_prod_b_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV131
!= ( insert1952693431od_b_b @ SV172 @ SY538 ) )
| ~ ~ ( member1285940496od_b_b @ SV172 @ SY538 ) )
| ( SV194
!= ( insert1952693431od_b_b @ SV70 @ SY538 ) ) )
| ~ ~ ( member1285940496od_b_b @ SV70 @ SY538 ) ) ) )
= $true )
| ( ( ~ ( ( ( insert1952693431od_b_b @ SV70 @ SV131 )
!= ( insert1952693431od_b_b @ SV172 @ SV194 ) )
| ~ ~ ( ~ ( ( SV70 != SV172 )
| ( SV131 = SV194 ) )
| ~ ( ~ ( ( SV70 != SV172 ) )
| ~ ! [SY538: set_Product_prod_b_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV131
!= ( insert1952693431od_b_b @ SV172 @ SY538 ) )
| ~ ~ ( member1285940496od_b_b @ SV172 @ SY538 ) )
| ( SV194
!= ( insert1952693431od_b_b @ SV70 @ SY538 ) ) )
| ~ ~ ( member1285940496od_b_b @ SV70 @ SY538 ) ) ) ) ) )
= $true )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1554]) ).
thf(1584,plain,
! [SV173: set_Product_prod_b_b,SV132: set_Product_prod_b_b,SV71: product_prod_b_b] :
( ( ( ( insert1952693431od_b_b @ SV71 @ SV132 )
!= ( insert1952693431od_b_b @ SV71 @ SV173 ) )
= $false )
| ( ( ( insert1952693431od_b_b @ SV71 @ SV132 )
= ( insert1952693431od_b_b @ SV71 @ SV173 ) )
= $false )
| ( ( member1285940496od_b_b @ SV71 @ SV173 )
= $true )
| ( ( member1285940496od_b_b @ SV71 @ SV132 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1555]) ).
thf(1585,plain,
! [SV71: product_prod_b_b,SV173: set_Product_prod_b_b,SV132: set_Product_prod_b_b] :
( ( ( SV132 != SV173 )
= $false )
| ( ( ( insert1952693431od_b_b @ SV71 @ SV132 )
= ( insert1952693431od_b_b @ SV71 @ SV173 ) )
= $false )
| ( ( member1285940496od_b_b @ SV71 @ SV173 )
= $true )
| ( ( member1285940496od_b_b @ SV71 @ SV132 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1555]) ).
thf(1586,plain,
! [SV173: set_Product_prod_b_b,SV132: set_Product_prod_b_b,SV71: product_prod_b_b] :
( ( ( ( insert1952693431od_b_b @ SV71 @ SV132 )
!= ( insert1952693431od_b_b @ SV71 @ SV173 ) )
= $false )
| ( ( SV132 = SV173 )
= $false )
| ( ( member1285940496od_b_b @ SV71 @ SV173 )
= $true )
| ( ( member1285940496od_b_b @ SV71 @ SV132 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1556]) ).
thf(1587,plain,
! [SV71: product_prod_b_b,SV173: set_Product_prod_b_b,SV132: set_Product_prod_b_b] :
( ( ( SV132 != SV173 )
= $false )
| ( ( SV132 = SV173 )
= $false )
| ( ( member1285940496od_b_b @ SV71 @ SV173 )
= $true )
| ( ( member1285940496od_b_b @ SV71 @ SV132 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1556]) ).
thf(1588,plain,
! [SV203: b,SV88: set_Product_prod_b_b,SV208: b,SV206: b] :
( ( ( member1285940496od_b_b @ ( product_Pair_b_b @ SV206 @ SV208 ) @ SV88 )
= $false )
| ( ( member1285940496od_b_b @ ( product_Pair_b_b @ SV203 @ SV208 ) @ SV88 )
= $true )
| ( ( member1285940496od_b_b @ ( product_Pair_b_b @ SV203 @ SV206 ) @ SV88 )
= $false )
| ( ( trans_b @ SV88 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1557]) ).
thf(1589,plain,
! [SV88: set_Product_prod_b_b,SV224: b,SV217: b] :
( ( ( ! [SY570: b] :
( ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SV217 @ SV224 ) @ SV88 )
| ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SV224 @ SY570 ) @ SV88 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SV217 @ SY570 ) @ SV88 ) ) )
= $true )
| ( ( member1285940496od_b_b @ ( product_Pair_b_b @ ( sK38_SY416 @ SV88 ) @ ( sK43_SY551 @ SV88 ) ) @ SV88 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1558]) ).
thf(1590,plain,
! [SV88: set_Product_prod_b_b,SV225: b] :
( ( ( ! [SY571: b,SY572: b] :
( ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SV225 @ SY571 ) @ SV88 )
| ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SY571 @ SY572 ) @ SV88 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SV225 @ SY572 ) @ SV88 ) ) )
= $true )
| ( ( member1285940496od_b_b @ ( product_Pair_b_b @ ( sK43_SY551 @ SV88 ) @ ( sK46_SY556 @ SV88 ) ) @ SV88 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1560]) ).
thf(1591,plain,
! [SV88: set_Product_prod_b_b,SV226: b,SV218: b] :
( ( ( ! [SY573: b] :
( ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SV218 @ SV226 ) @ SV88 )
| ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SV226 @ SY573 ) @ SV88 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SV218 @ SY573 ) @ SV88 ) ) )
= $true )
| ( ( member1285940496od_b_b @ ( product_Pair_b_b @ ( sK38_SY416 @ SV88 ) @ ( sK46_SY556 @ SV88 ) ) @ SV88 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1561]) ).
thf(1592,plain,
! [SV93: set_Product_prod_b_b,SV143: set_Product_prod_b_b,SV23: product_prod_b_b] :
( ( ( ~ ( member1285940496od_b_b @ SV23 @ SV143 ) )
= $false )
| ( ( member1285940496od_b_b @ SV23 @ SV143 )
= $false )
| ( ( ord_le1036320359od_b_b @ SV93 @ SV143 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1562]) ).
thf(1593,plain,
! [SV23: product_prod_b_b,SV143: set_Product_prod_b_b,SV93: set_Product_prod_b_b] :
( ( ( ~ ( ord_le1036320359od_b_b @ SV93 @ SV143 ) )
= $false )
| ( ( member1285940496od_b_b @ SV23 @ SV143 )
= $false )
| ( ( ord_le1036320359od_b_b @ SV93 @ SV143 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1562]) ).
thf(1594,plain,
! [SV179: b,SV94: b,SV144: b,SV24: b] :
( ( ( ( SV24 != SV144 )
| ( SV94 != SV179 ) )
= $false )
| ( ( SV24 = SV144 )
= $false )
| ( ( SV94 = SV179 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1564]) ).
thf(1595,plain,
! [SV182: b,SV100: b,SV149: b,SV31: b] :
( ( ( ( SV31 != SV149 )
| ( SV100 != SV182 ) )
= $false )
| ( ( SV31 = SV149 )
= $false )
| ( ( SV100 = SV182 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1566]) ).
thf(1596,plain,
! [SV102: set_Product_prod_b_b,SV219: b,SV213: b] :
( ( ( ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SV213 @ SV219 ) @ SV102 ) )
= $true )
| ( ( member1285940496od_b_b @ ( product_Pair_b_b @ SV219 @ SV213 ) @ SV102 )
= $true )
| ( ( member1285940496od_b_b @ ( product_Pair_b_b @ ( sK39_SY440 @ SV102 ) @ ( sK44_SY553 @ SV102 ) ) @ SV102 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1567]) ).
thf(1597,plain,
! [SV102: set_Product_prod_b_b,SV214: b,SV212: b] :
( ( ( member1285940496od_b_b @ ( product_Pair_b_b @ SV212 @ SV214 ) @ SV102 )
= $false )
| ( ( member1285940496od_b_b @ ( product_Pair_b_b @ SV214 @ SV212 ) @ SV102 )
= $true )
| ( ( member1285940496od_b_b @ ( product_Pair_b_b @ ( sK44_SY553 @ SV102 ) @ ( sK39_SY440 @ SV102 ) ) @ SV102 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1568]) ).
thf(1598,plain,
! [SV183: set_Product_prod_b_b,SV104: set_Product_prod_b_b,SV220: product_prod_b_b] :
( ( ( ~ ( member1285940496od_b_b @ SV220 @ SV104 ) )
= $true )
| ( ( member1285940496od_b_b @ SV220 @ SV183 )
= $true )
| ( ( member1285940496od_b_b @ ( sK47_SY529 @ SV183 @ SV104 ) @ SV104 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1569]) ).
thf(1599,plain,
! [SV183: set_Product_prod_b_b,SV104: set_Product_prod_b_b,SV215: product_prod_b_b] :
( ( ( member1285940496od_b_b @ SV215 @ SV104 )
= $false )
| ( ( member1285940496od_b_b @ SV215 @ SV183 )
= $true )
| ( ( member1285940496od_b_b @ ( sK47_SY529 @ SV183 @ SV104 ) @ SV183 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1570]) ).
thf(1600,plain,
! [SV184: set_Product_prod_b_b,SV105: set_Product_prod_b_b,SV221: product_prod_b_b] :
( ( ( ~ ( member1285940496od_b_b @ SV221 @ SV105 ) )
= $true )
| ( ( member1285940496od_b_b @ SV221 @ SV184 )
= $true )
| ( ( member1285940496od_b_b @ ( sK48_SY530 @ SV184 @ SV105 ) @ SV105 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1571]) ).
thf(1601,plain,
! [SV184: set_Product_prod_b_b,SV105: set_Product_prod_b_b,SV216: product_prod_b_b] :
( ( ( member1285940496od_b_b @ SV216 @ SV105 )
= $false )
| ( ( member1285940496od_b_b @ SV216 @ SV184 )
= $true )
| ( ( member1285940496od_b_b @ ( sK48_SY530 @ SV184 @ SV105 ) @ SV184 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1572]) ).
thf(1602,plain,
! [SV187: set_Product_prod_b_b,SV211: b,SV114: set_b,SV222: b] :
( ( ( ~ ( member_b @ SV222 @ SV114 ) )
= $true )
| ( ( ~ ( ( SV211 != SV222 ) )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SV211 @ SV222 ) @ SV187 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SV222 @ SV211 ) @ SV187 ) )
= $true )
| ( ( member_b @ SV211 @ SV114 )
= $false )
| ( ( total_on_b @ SV114 @ SV187 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1573]) ).
thf(1603,plain,
! [SV187: set_Product_prod_b_b,SV114: set_b,SV223: b] :
( ( ( ~ ( member_b @ SV223 @ SV114 ) )
= $true )
| ( ( ! [SY569: b] :
( ~ ( member_b @ SY569 @ SV114 )
| ~ ( ( SV223 != SY569 ) )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SV223 @ SY569 ) @ SV187 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SY569 @ SV223 ) @ SV187 ) ) )
= $true )
| ( ( member_b @ ( sK49_SY531 @ SV187 @ SV114 ) @ SV114 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1574]) ).
thf(1604,plain,
! [SV187: set_Product_prod_b_b,SV114: set_b] :
( ( ( total_on_b @ SV114 @ SV187 )
= $true )
| ( ( member_b @ ( sK51_SY557 @ SV187 @ SV114 ) @ SV114 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1575]) ).
thf(1605,plain,
! [SV187: set_Product_prod_b_b,SV114: set_b] :
( ( ( ! [SY531: b] :
( ~ ( member_b @ SY531 @ SV114 )
| ! [SY532: b] :
( ~ ( member_b @ SY532 @ SV114 )
| ~ ( ( SY531 != SY532 ) )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SY531 @ SY532 ) @ SV187 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SY532 @ SY531 ) @ SV187 ) ) ) )
= $true )
| ( ( member_b @ ( sK51_SY557 @ SV187 @ SV114 ) @ SV114 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1576]) ).
thf(1606,plain,
! [SV187: set_Product_prod_b_b,SV114: set_b] :
( ( ( ~ ( total_on_b @ SV114 @ SV187 )
| ~ ! [SY531: b] :
( ~ ( member_b @ SY531 @ SV114 )
| ! [SY532: b] :
( ~ ( member_b @ SY532 @ SV114 )
| ~ ( ( SY531 != SY532 ) )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SY531 @ SY532 ) @ SV187 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SY532 @ SY531 ) @ SV187 ) ) ) )
= $false )
| ( ( ( sK49_SY531 @ SV187 @ SV114 )
= ( sK51_SY557 @ SV187 @ SV114 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1577]) ).
thf(1607,plain,
! [SV187: set_Product_prod_b_b,SV114: set_b] :
( ( ( ~ ( total_on_b @ SV114 @ SV187 ) )
= $false )
| ( ( member1285940496od_b_b @ ( product_Pair_b_b @ ( sK49_SY531 @ SV187 @ SV114 ) @ ( sK51_SY557 @ SV187 @ SV114 ) ) @ SV187 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1578]) ).
thf(1608,plain,
! [SV187: set_Product_prod_b_b,SV114: set_b] :
( ( ( ~ ! [SY531: b] :
( ~ ( member_b @ SY531 @ SV114 )
| ! [SY532: b] :
( ~ ( member_b @ SY532 @ SV114 )
| ~ ( ( SY531 != SY532 ) )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SY531 @ SY532 ) @ SV187 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SY532 @ SY531 ) @ SV187 ) ) ) )
= $false )
| ( ( member1285940496od_b_b @ ( product_Pair_b_b @ ( sK49_SY531 @ SV187 @ SV114 ) @ ( sK51_SY557 @ SV187 @ SV114 ) ) @ SV187 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1578]) ).
thf(1609,plain,
! [SV187: set_Product_prod_b_b,SV114: set_b] :
( ( ( ~ ( total_on_b @ SV114 @ SV187 ) )
= $false )
| ( ( member1285940496od_b_b @ ( product_Pair_b_b @ ( sK51_SY557 @ SV187 @ SV114 ) @ ( sK49_SY531 @ SV187 @ SV114 ) ) @ SV187 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1579]) ).
thf(1610,plain,
! [SV187: set_Product_prod_b_b,SV114: set_b] :
( ( ( ~ ! [SY531: b] :
( ~ ( member_b @ SY531 @ SV114 )
| ! [SY532: b] :
( ~ ( member_b @ SY532 @ SV114 )
| ~ ( ( SY531 != SY532 ) )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SY531 @ SY532 ) @ SV187 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SY532 @ SY531 ) @ SV187 ) ) ) )
= $false )
| ( ( member1285940496od_b_b @ ( product_Pair_b_b @ ( sK51_SY557 @ SV187 @ SV114 ) @ ( sK49_SY531 @ SV187 @ SV114 ) ) @ SV187 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1579]) ).
thf(1611,plain,
! [SV164: set_b,SV123: b,SV57: b] :
( ( ( SV57 != SV123 )
= $false )
| ( ( SV57 = SV123 )
= $false )
| ( ( member_b @ SV57 @ SV164 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1580]) ).
thf(1612,plain,
! [SV123: b,SV164: set_b,SV57: b] :
( ( ( ~ ( member_b @ SV57 @ SV164 ) )
= $false )
| ( ( SV57 = SV123 )
= $false )
| ( ( member_b @ SV57 @ SV164 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1580]) ).
thf(1613,plain,
! [SV167: set_Product_prod_b_b,SV126: product_prod_b_b,SV60: product_prod_b_b] :
( ( ( SV60 != SV126 )
= $false )
| ( ( SV60 = SV126 )
= $false )
| ( ( member1285940496od_b_b @ SV60 @ SV167 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1581]) ).
thf(1614,plain,
! [SV126: product_prod_b_b,SV167: set_Product_prod_b_b,SV60: product_prod_b_b] :
( ( ( ~ ( member1285940496od_b_b @ SV60 @ SV167 ) )
= $false )
| ( ( SV60 = SV126 )
= $false )
| ( ( member1285940496od_b_b @ SV60 @ SV167 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1581]) ).
thf(1615,plain,
! [SV194: set_Product_prod_b_b,SV172: product_prod_b_b,SV131: set_Product_prod_b_b,SV70: product_prod_b_b] :
( ( ( ( insert1952693431od_b_b @ SV70 @ SV131 )
!= ( insert1952693431od_b_b @ SV172 @ SV194 ) )
= $false )
| ( ( ( insert1952693431od_b_b @ SV70 @ SV131 )
= ( insert1952693431od_b_b @ SV172 @ SV194 ) )
= $false )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1582]) ).
thf(1616,plain,
! [SV194: set_Product_prod_b_b,SV131: set_Product_prod_b_b,SV172: product_prod_b_b,SV70: product_prod_b_b] :
( ( ( ~ ~ ( ~ ( ( SV70 != SV172 )
| ( SV131 = SV194 ) )
| ~ ( ~ ( ( SV70 != SV172 ) )
| ~ ! [SY538: set_Product_prod_b_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV131
!= ( insert1952693431od_b_b @ SV172 @ SY538 ) )
| ~ ~ ( member1285940496od_b_b @ SV172 @ SY538 ) )
| ( SV194
!= ( insert1952693431od_b_b @ SV70 @ SY538 ) ) )
| ~ ~ ( member1285940496od_b_b @ SV70 @ SY538 ) ) ) ) )
= $false )
| ( ( ( insert1952693431od_b_b @ SV70 @ SV131 )
= ( insert1952693431od_b_b @ SV172 @ SV194 ) )
= $false )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1582]) ).
thf(1617,plain,
! [SV194: set_Product_prod_b_b,SV131: set_Product_prod_b_b,SV172: product_prod_b_b,SV70: product_prod_b_b] :
( ( ( ~ ( ( SV70 != SV172 )
| ( SV131 = SV194 ) ) )
= $true )
| ( ( ~ ( ~ ( ( SV70 != SV172 ) )
| ~ ! [SY538: set_Product_prod_b_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV131
!= ( insert1952693431od_b_b @ SV172 @ SY538 ) )
| ~ ~ ( member1285940496od_b_b @ SV172 @ SY538 ) )
| ( SV194
!= ( insert1952693431od_b_b @ SV70 @ SY538 ) ) )
| ~ ~ ( member1285940496od_b_b @ SV70 @ SY538 ) ) ) )
= $true )
| ( ( ~ ( ( ( insert1952693431od_b_b @ SV70 @ SV131 )
!= ( insert1952693431od_b_b @ SV172 @ SV194 ) )
| ~ ~ ( ~ ( ( SV70 != SV172 )
| ( SV131 = SV194 ) )
| ~ ( ~ ( ( SV70 != SV172 ) )
| ~ ! [SY538: set_Product_prod_b_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV131
!= ( insert1952693431od_b_b @ SV172 @ SY538 ) )
| ~ ~ ( member1285940496od_b_b @ SV172 @ SY538 ) )
| ( SV194
!= ( insert1952693431od_b_b @ SV70 @ SY538 ) ) )
| ~ ~ ( member1285940496od_b_b @ SV70 @ SY538 ) ) ) ) ) )
= $true )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1583]) ).
thf(1618,plain,
! [SV173: set_Product_prod_b_b,SV132: set_Product_prod_b_b,SV71: product_prod_b_b] :
( ( ( ( insert1952693431od_b_b @ SV71 @ SV132 )
= ( insert1952693431od_b_b @ SV71 @ SV173 ) )
= $true )
| ( ( ( insert1952693431od_b_b @ SV71 @ SV132 )
= ( insert1952693431od_b_b @ SV71 @ SV173 ) )
= $false )
| ( ( member1285940496od_b_b @ SV71 @ SV173 )
= $true )
| ( ( member1285940496od_b_b @ SV71 @ SV132 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1584]) ).
thf(1619,plain,
! [SV71: product_prod_b_b,SV173: set_Product_prod_b_b,SV132: set_Product_prod_b_b] :
( ( ( SV132 = SV173 )
= $true )
| ( ( ( insert1952693431od_b_b @ SV71 @ SV132 )
= ( insert1952693431od_b_b @ SV71 @ SV173 ) )
= $false )
| ( ( member1285940496od_b_b @ SV71 @ SV173 )
= $true )
| ( ( member1285940496od_b_b @ SV71 @ SV132 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1585]) ).
thf(1620,plain,
! [SV173: set_Product_prod_b_b,SV132: set_Product_prod_b_b,SV71: product_prod_b_b] :
( ( ( ( insert1952693431od_b_b @ SV71 @ SV132 )
= ( insert1952693431od_b_b @ SV71 @ SV173 ) )
= $true )
| ( ( SV132 = SV173 )
= $false )
| ( ( member1285940496od_b_b @ SV71 @ SV173 )
= $true )
| ( ( member1285940496od_b_b @ SV71 @ SV132 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1586]) ).
thf(1621,plain,
! [SV71: product_prod_b_b,SV173: set_Product_prod_b_b,SV132: set_Product_prod_b_b] :
( ( ( SV132 = SV173 )
= $true )
| ( ( SV132 = SV173 )
= $false )
| ( ( member1285940496od_b_b @ SV71 @ SV173 )
= $true )
| ( ( member1285940496od_b_b @ SV71 @ SV132 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1587]) ).
thf(1622,plain,
! [SV227: b,SV88: set_Product_prod_b_b,SV224: b,SV217: b] :
( ( ( ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SV217 @ SV224 ) @ SV88 )
| ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SV224 @ SV227 ) @ SV88 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SV217 @ SV227 ) @ SV88 ) )
= $true )
| ( ( member1285940496od_b_b @ ( product_Pair_b_b @ ( sK38_SY416 @ SV88 ) @ ( sK43_SY551 @ SV88 ) ) @ SV88 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1589]) ).
thf(1623,plain,
! [SV88: set_Product_prod_b_b,SV228: b,SV225: b] :
( ( ( ! [SY574: b] :
( ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SV225 @ SV228 ) @ SV88 )
| ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SV228 @ SY574 ) @ SV88 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SV225 @ SY574 ) @ SV88 ) ) )
= $true )
| ( ( member1285940496od_b_b @ ( product_Pair_b_b @ ( sK43_SY551 @ SV88 ) @ ( sK46_SY556 @ SV88 ) ) @ SV88 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1590]) ).
thf(1624,plain,
! [SV229: b,SV88: set_Product_prod_b_b,SV226: b,SV218: b] :
( ( ( ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SV218 @ SV226 ) @ SV88 )
| ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SV226 @ SV229 ) @ SV88 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SV218 @ SV229 ) @ SV88 ) )
= $true )
| ( ( member1285940496od_b_b @ ( product_Pair_b_b @ ( sK38_SY416 @ SV88 ) @ ( sK46_SY556 @ SV88 ) ) @ SV88 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1591]) ).
thf(1625,plain,
! [SV93: set_Product_prod_b_b,SV143: set_Product_prod_b_b,SV23: product_prod_b_b] :
( ( ( member1285940496od_b_b @ SV23 @ SV143 )
= $true )
| ( ( member1285940496od_b_b @ SV23 @ SV143 )
= $false )
| ( ( ord_le1036320359od_b_b @ SV93 @ SV143 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1592]) ).
thf(1626,plain,
! [SV23: product_prod_b_b,SV143: set_Product_prod_b_b,SV93: set_Product_prod_b_b] :
( ( ( ord_le1036320359od_b_b @ SV93 @ SV143 )
= $true )
| ( ( member1285940496od_b_b @ SV23 @ SV143 )
= $false )
| ( ( ord_le1036320359od_b_b @ SV93 @ SV143 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1593]) ).
thf(1627,plain,
! [SV179: b,SV94: b,SV144: b,SV24: b] :
( ( ( SV24 != SV144 )
= $false )
| ( ( SV24 = SV144 )
= $false )
| ( ( SV94 = SV179 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1594]) ).
thf(1628,plain,
! [SV144: b,SV24: b,SV179: b,SV94: b] :
( ( ( SV94 != SV179 )
= $false )
| ( ( SV24 = SV144 )
= $false )
| ( ( SV94 = SV179 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1594]) ).
thf(1629,plain,
! [SV182: b,SV100: b,SV149: b,SV31: b] :
( ( ( SV31 != SV149 )
= $false )
| ( ( SV31 = SV149 )
= $false )
| ( ( SV100 = SV182 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1595]) ).
thf(1630,plain,
! [SV149: b,SV31: b,SV182: b,SV100: b] :
( ( ( SV100 != SV182 )
= $false )
| ( ( SV31 = SV149 )
= $false )
| ( ( SV100 = SV182 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1595]) ).
thf(1631,plain,
! [SV102: set_Product_prod_b_b,SV219: b,SV213: b] :
( ( ( member1285940496od_b_b @ ( product_Pair_b_b @ SV213 @ SV219 ) @ SV102 )
= $false )
| ( ( member1285940496od_b_b @ ( product_Pair_b_b @ SV219 @ SV213 ) @ SV102 )
= $true )
| ( ( member1285940496od_b_b @ ( product_Pair_b_b @ ( sK39_SY440 @ SV102 ) @ ( sK44_SY553 @ SV102 ) ) @ SV102 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1596]) ).
thf(1632,plain,
! [SV183: set_Product_prod_b_b,SV104: set_Product_prod_b_b,SV220: product_prod_b_b] :
( ( ( member1285940496od_b_b @ SV220 @ SV104 )
= $false )
| ( ( member1285940496od_b_b @ SV220 @ SV183 )
= $true )
| ( ( member1285940496od_b_b @ ( sK47_SY529 @ SV183 @ SV104 ) @ SV104 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1598]) ).
thf(1633,plain,
! [SV184: set_Product_prod_b_b,SV105: set_Product_prod_b_b,SV221: product_prod_b_b] :
( ( ( member1285940496od_b_b @ SV221 @ SV105 )
= $false )
| ( ( member1285940496od_b_b @ SV221 @ SV184 )
= $true )
| ( ( member1285940496od_b_b @ ( sK48_SY530 @ SV184 @ SV105 ) @ SV105 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1600]) ).
thf(1634,plain,
! [SV187: set_Product_prod_b_b,SV211: b,SV114: set_b,SV222: b] :
( ( ( member_b @ SV222 @ SV114 )
= $false )
| ( ( ~ ( ( SV211 != SV222 ) )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SV211 @ SV222 ) @ SV187 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SV222 @ SV211 ) @ SV187 ) )
= $true )
| ( ( member_b @ SV211 @ SV114 )
= $false )
| ( ( total_on_b @ SV114 @ SV187 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1602]) ).
thf(1635,plain,
! [SV187: set_Product_prod_b_b,SV114: set_b,SV223: b] :
( ( ( member_b @ SV223 @ SV114 )
= $false )
| ( ( ! [SY569: b] :
( ~ ( member_b @ SY569 @ SV114 )
| ~ ( ( SV223 != SY569 ) )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SV223 @ SY569 ) @ SV187 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SY569 @ SV223 ) @ SV187 ) ) )
= $true )
| ( ( member_b @ ( sK49_SY531 @ SV187 @ SV114 ) @ SV114 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1603]) ).
thf(1636,plain,
! [SV187: set_Product_prod_b_b,SV114: set_b,SV230: b] :
( ( ( ~ ( member_b @ SV230 @ SV114 )
| ! [SY575: b] :
( ~ ( member_b @ SY575 @ SV114 )
| ~ ( ( SV230 != SY575 ) )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SV230 @ SY575 ) @ SV187 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SY575 @ SV230 ) @ SV187 ) ) )
= $true )
| ( ( member_b @ ( sK51_SY557 @ SV187 @ SV114 ) @ SV114 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1605]) ).
thf(1637,plain,
! [SV187: set_Product_prod_b_b,SV114: set_b] :
( ( ( ~ ( total_on_b @ SV114 @ SV187 ) )
= $false )
| ( ( ( sK49_SY531 @ SV187 @ SV114 )
= ( sK51_SY557 @ SV187 @ SV114 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1606]) ).
thf(1638,plain,
! [SV187: set_Product_prod_b_b,SV114: set_b] :
( ( ( ~ ! [SY531: b] :
( ~ ( member_b @ SY531 @ SV114 )
| ! [SY532: b] :
( ~ ( member_b @ SY532 @ SV114 )
| ~ ( ( SY531 != SY532 ) )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SY531 @ SY532 ) @ SV187 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SY532 @ SY531 ) @ SV187 ) ) ) )
= $false )
| ( ( ( sK49_SY531 @ SV187 @ SV114 )
= ( sK51_SY557 @ SV187 @ SV114 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1606]) ).
thf(1639,plain,
! [SV187: set_Product_prod_b_b,SV114: set_b] :
( ( ( total_on_b @ SV114 @ SV187 )
= $true )
| ( ( member1285940496od_b_b @ ( product_Pair_b_b @ ( sK49_SY531 @ SV187 @ SV114 ) @ ( sK51_SY557 @ SV187 @ SV114 ) ) @ SV187 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1607]) ).
thf(1640,plain,
! [SV187: set_Product_prod_b_b,SV114: set_b] :
( ( ( ! [SY531: b] :
( ~ ( member_b @ SY531 @ SV114 )
| ! [SY532: b] :
( ~ ( member_b @ SY532 @ SV114 )
| ~ ( ( SY531 != SY532 ) )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SY531 @ SY532 ) @ SV187 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SY532 @ SY531 ) @ SV187 ) ) ) )
= $true )
| ( ( member1285940496od_b_b @ ( product_Pair_b_b @ ( sK49_SY531 @ SV187 @ SV114 ) @ ( sK51_SY557 @ SV187 @ SV114 ) ) @ SV187 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1608]) ).
thf(1641,plain,
! [SV187: set_Product_prod_b_b,SV114: set_b] :
( ( ( total_on_b @ SV114 @ SV187 )
= $true )
| ( ( member1285940496od_b_b @ ( product_Pair_b_b @ ( sK51_SY557 @ SV187 @ SV114 ) @ ( sK49_SY531 @ SV187 @ SV114 ) ) @ SV187 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1609]) ).
thf(1642,plain,
! [SV187: set_Product_prod_b_b,SV114: set_b] :
( ( ( ! [SY531: b] :
( ~ ( member_b @ SY531 @ SV114 )
| ! [SY532: b] :
( ~ ( member_b @ SY532 @ SV114 )
| ~ ( ( SY531 != SY532 ) )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SY531 @ SY532 ) @ SV187 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SY532 @ SY531 ) @ SV187 ) ) ) )
= $true )
| ( ( member1285940496od_b_b @ ( product_Pair_b_b @ ( sK51_SY557 @ SV187 @ SV114 ) @ ( sK49_SY531 @ SV187 @ SV114 ) ) @ SV187 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1610]) ).
thf(1643,plain,
! [SV164: set_b,SV123: b,SV57: b] :
( ( ( SV57 = SV123 )
= $true )
| ( ( SV57 = SV123 )
= $false )
| ( ( member_b @ SV57 @ SV164 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1611]) ).
thf(1644,plain,
! [SV123: b,SV164: set_b,SV57: b] :
( ( ( member_b @ SV57 @ SV164 )
= $true )
| ( ( SV57 = SV123 )
= $false )
| ( ( member_b @ SV57 @ SV164 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1612]) ).
thf(1645,plain,
! [SV167: set_Product_prod_b_b,SV126: product_prod_b_b,SV60: product_prod_b_b] :
( ( ( SV60 = SV126 )
= $true )
| ( ( SV60 = SV126 )
= $false )
| ( ( member1285940496od_b_b @ SV60 @ SV167 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1613]) ).
thf(1646,plain,
! [SV126: product_prod_b_b,SV167: set_Product_prod_b_b,SV60: product_prod_b_b] :
( ( ( member1285940496od_b_b @ SV60 @ SV167 )
= $true )
| ( ( SV60 = SV126 )
= $false )
| ( ( member1285940496od_b_b @ SV60 @ SV167 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1614]) ).
thf(1647,plain,
! [SV194: set_Product_prod_b_b,SV172: product_prod_b_b,SV131: set_Product_prod_b_b,SV70: product_prod_b_b] :
( ( ( ( insert1952693431od_b_b @ SV70 @ SV131 )
= ( insert1952693431od_b_b @ SV172 @ SV194 ) )
= $true )
| ( ( ( insert1952693431od_b_b @ SV70 @ SV131 )
= ( insert1952693431od_b_b @ SV172 @ SV194 ) )
= $false )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1615]) ).
thf(1648,plain,
! [SV194: set_Product_prod_b_b,SV131: set_Product_prod_b_b,SV172: product_prod_b_b,SV70: product_prod_b_b] :
( ( ( ~ ( ~ ( ( SV70 != SV172 )
| ( SV131 = SV194 ) )
| ~ ( ~ ( ( SV70 != SV172 ) )
| ~ ! [SY538: set_Product_prod_b_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV131
!= ( insert1952693431od_b_b @ SV172 @ SY538 ) )
| ~ ~ ( member1285940496od_b_b @ SV172 @ SY538 ) )
| ( SV194
!= ( insert1952693431od_b_b @ SV70 @ SY538 ) ) )
| ~ ~ ( member1285940496od_b_b @ SV70 @ SY538 ) ) ) ) )
= $true )
| ( ( ( insert1952693431od_b_b @ SV70 @ SV131 )
= ( insert1952693431od_b_b @ SV172 @ SV194 ) )
= $false )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1616]) ).
thf(1649,plain,
! [SV194: set_Product_prod_b_b,SV131: set_Product_prod_b_b,SV172: product_prod_b_b,SV70: product_prod_b_b] :
( ( ( ( SV70 != SV172 )
| ( SV131 = SV194 ) )
= $false )
| ( ( ~ ( ~ ( ( SV70 != SV172 ) )
| ~ ! [SY538: set_Product_prod_b_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV131
!= ( insert1952693431od_b_b @ SV172 @ SY538 ) )
| ~ ~ ( member1285940496od_b_b @ SV172 @ SY538 ) )
| ( SV194
!= ( insert1952693431od_b_b @ SV70 @ SY538 ) ) )
| ~ ~ ( member1285940496od_b_b @ SV70 @ SY538 ) ) ) )
= $true )
| ( ( ~ ( ( ( insert1952693431od_b_b @ SV70 @ SV131 )
!= ( insert1952693431od_b_b @ SV172 @ SV194 ) )
| ~ ~ ( ~ ( ( SV70 != SV172 )
| ( SV131 = SV194 ) )
| ~ ( ~ ( ( SV70 != SV172 ) )
| ~ ! [SY538: set_Product_prod_b_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV131
!= ( insert1952693431od_b_b @ SV172 @ SY538 ) )
| ~ ~ ( member1285940496od_b_b @ SV172 @ SY538 ) )
| ( SV194
!= ( insert1952693431od_b_b @ SV70 @ SY538 ) ) )
| ~ ~ ( member1285940496od_b_b @ SV70 @ SY538 ) ) ) ) ) )
= $true )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1617]) ).
thf(1650,plain,
! [SV227: b,SV88: set_Product_prod_b_b,SV224: b,SV217: b] :
( ( ( ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SV217 @ SV224 ) @ SV88 ) )
= $true )
| ( ( ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SV224 @ SV227 ) @ SV88 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SV217 @ SV227 ) @ SV88 ) )
= $true )
| ( ( member1285940496od_b_b @ ( product_Pair_b_b @ ( sK38_SY416 @ SV88 ) @ ( sK43_SY551 @ SV88 ) ) @ SV88 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1622]) ).
thf(1651,plain,
! [SV231: b,SV88: set_Product_prod_b_b,SV228: b,SV225: b] :
( ( ( ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SV225 @ SV228 ) @ SV88 )
| ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SV228 @ SV231 ) @ SV88 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SV225 @ SV231 ) @ SV88 ) )
= $true )
| ( ( member1285940496od_b_b @ ( product_Pair_b_b @ ( sK43_SY551 @ SV88 ) @ ( sK46_SY556 @ SV88 ) ) @ SV88 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1623]) ).
thf(1652,plain,
! [SV229: b,SV88: set_Product_prod_b_b,SV226: b,SV218: b] :
( ( ( ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SV218 @ SV226 ) @ SV88 ) )
= $true )
| ( ( ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SV226 @ SV229 ) @ SV88 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SV218 @ SV229 ) @ SV88 ) )
= $true )
| ( ( member1285940496od_b_b @ ( product_Pair_b_b @ ( sK38_SY416 @ SV88 ) @ ( sK46_SY556 @ SV88 ) ) @ SV88 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1624]) ).
thf(1653,plain,
! [SV179: b,SV94: b,SV144: b,SV24: b] :
( ( ( SV24 = SV144 )
= $true )
| ( ( SV24 = SV144 )
= $false )
| ( ( SV94 = SV179 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1627]) ).
thf(1654,plain,
! [SV144: b,SV24: b,SV179: b,SV94: b] :
( ( ( SV94 = SV179 )
= $true )
| ( ( SV24 = SV144 )
= $false )
| ( ( SV94 = SV179 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1628]) ).
thf(1655,plain,
! [SV182: b,SV100: b,SV149: b,SV31: b] :
( ( ( SV31 = SV149 )
= $true )
| ( ( SV31 = SV149 )
= $false )
| ( ( SV100 = SV182 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1629]) ).
thf(1656,plain,
! [SV149: b,SV31: b,SV182: b,SV100: b] :
( ( ( SV100 = SV182 )
= $true )
| ( ( SV31 = SV149 )
= $false )
| ( ( SV100 = SV182 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1630]) ).
thf(1657,plain,
! [SV114: set_b,SV187: set_Product_prod_b_b,SV222: b,SV211: b] :
( ( ( ~ ( ( SV211 != SV222 ) ) )
= $true )
| ( ( ( member1285940496od_b_b @ ( product_Pair_b_b @ SV211 @ SV222 ) @ SV187 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SV222 @ SV211 ) @ SV187 ) )
= $true )
| ( ( member_b @ SV222 @ SV114 )
= $false )
| ( ( member_b @ SV211 @ SV114 )
= $false )
| ( ( total_on_b @ SV114 @ SV187 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1634]) ).
thf(1658,plain,
! [SV187: set_Product_prod_b_b,SV223: b,SV114: set_b,SV232: b] :
( ( ( ~ ( member_b @ SV232 @ SV114 )
| ~ ( ( SV223 != SV232 ) )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SV223 @ SV232 ) @ SV187 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SV232 @ SV223 ) @ SV187 ) )
= $true )
| ( ( member_b @ SV223 @ SV114 )
= $false )
| ( ( member_b @ ( sK49_SY531 @ SV187 @ SV114 ) @ SV114 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1635]) ).
thf(1659,plain,
! [SV187: set_Product_prod_b_b,SV114: set_b,SV230: b] :
( ( ( ~ ( member_b @ SV230 @ SV114 ) )
= $true )
| ( ( ! [SY575: b] :
( ~ ( member_b @ SY575 @ SV114 )
| ~ ( ( SV230 != SY575 ) )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SV230 @ SY575 ) @ SV187 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SY575 @ SV230 ) @ SV187 ) ) )
= $true )
| ( ( member_b @ ( sK51_SY557 @ SV187 @ SV114 ) @ SV114 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1636]) ).
thf(1660,plain,
! [SV187: set_Product_prod_b_b,SV114: set_b] :
( ( ( total_on_b @ SV114 @ SV187 )
= $true )
| ( ( ( sK49_SY531 @ SV187 @ SV114 )
= ( sK51_SY557 @ SV187 @ SV114 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1637]) ).
thf(1661,plain,
! [SV187: set_Product_prod_b_b,SV114: set_b] :
( ( ( ! [SY531: b] :
( ~ ( member_b @ SY531 @ SV114 )
| ! [SY532: b] :
( ~ ( member_b @ SY532 @ SV114 )
| ~ ( ( SY531 != SY532 ) )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SY531 @ SY532 ) @ SV187 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SY532 @ SY531 ) @ SV187 ) ) ) )
= $true )
| ( ( ( sK49_SY531 @ SV187 @ SV114 )
= ( sK51_SY557 @ SV187 @ SV114 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1638]) ).
thf(1662,plain,
! [SV187: set_Product_prod_b_b,SV114: set_b,SV233: b] :
( ( ( ~ ( member_b @ SV233 @ SV114 )
| ! [SY576: b] :
( ~ ( member_b @ SY576 @ SV114 )
| ~ ( ( SV233 != SY576 ) )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SV233 @ SY576 ) @ SV187 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SY576 @ SV233 ) @ SV187 ) ) )
= $true )
| ( ( member1285940496od_b_b @ ( product_Pair_b_b @ ( sK49_SY531 @ SV187 @ SV114 ) @ ( sK51_SY557 @ SV187 @ SV114 ) ) @ SV187 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1640]) ).
thf(1663,plain,
! [SV187: set_Product_prod_b_b,SV114: set_b,SV234: b] :
( ( ( ~ ( member_b @ SV234 @ SV114 )
| ! [SY577: b] :
( ~ ( member_b @ SY577 @ SV114 )
| ~ ( ( SV234 != SY577 ) )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SV234 @ SY577 ) @ SV187 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SY577 @ SV234 ) @ SV187 ) ) )
= $true )
| ( ( member1285940496od_b_b @ ( product_Pair_b_b @ ( sK51_SY557 @ SV187 @ SV114 ) @ ( sK49_SY531 @ SV187 @ SV114 ) ) @ SV187 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1642]) ).
thf(1664,plain,
! [SV194: set_Product_prod_b_b,SV131: set_Product_prod_b_b,SV172: product_prod_b_b,SV70: product_prod_b_b] :
( ( ( ~ ( ( SV70 != SV172 )
| ( SV131 = SV194 ) )
| ~ ( ~ ( ( SV70 != SV172 ) )
| ~ ! [SY538: set_Product_prod_b_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV131
!= ( insert1952693431od_b_b @ SV172 @ SY538 ) )
| ~ ~ ( member1285940496od_b_b @ SV172 @ SY538 ) )
| ( SV194
!= ( insert1952693431od_b_b @ SV70 @ SY538 ) ) )
| ~ ~ ( member1285940496od_b_b @ SV70 @ SY538 ) ) ) )
= $false )
| ( ( ( insert1952693431od_b_b @ SV70 @ SV131 )
= ( insert1952693431od_b_b @ SV172 @ SV194 ) )
= $false )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1648]) ).
thf(1665,plain,
! [SV194: set_Product_prod_b_b,SV131: set_Product_prod_b_b,SV172: product_prod_b_b,SV70: product_prod_b_b] :
( ( ( SV70 != SV172 )
= $false )
| ( ( ~ ( ~ ( ( SV70 != SV172 ) )
| ~ ! [SY538: set_Product_prod_b_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV131
!= ( insert1952693431od_b_b @ SV172 @ SY538 ) )
| ~ ~ ( member1285940496od_b_b @ SV172 @ SY538 ) )
| ( SV194
!= ( insert1952693431od_b_b @ SV70 @ SY538 ) ) )
| ~ ~ ( member1285940496od_b_b @ SV70 @ SY538 ) ) ) )
= $true )
| ( ( ~ ( ( ( insert1952693431od_b_b @ SV70 @ SV131 )
!= ( insert1952693431od_b_b @ SV172 @ SV194 ) )
| ~ ~ ( ~ ( ( SV70 != SV172 )
| ( SV131 = SV194 ) )
| ~ ( ~ ( ( SV70 != SV172 ) )
| ~ ! [SY538: set_Product_prod_b_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV131
!= ( insert1952693431od_b_b @ SV172 @ SY538 ) )
| ~ ~ ( member1285940496od_b_b @ SV172 @ SY538 ) )
| ( SV194
!= ( insert1952693431od_b_b @ SV70 @ SY538 ) ) )
| ~ ~ ( member1285940496od_b_b @ SV70 @ SY538 ) ) ) ) ) )
= $true )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1649]) ).
thf(1666,plain,
! [SV172: product_prod_b_b,SV70: product_prod_b_b,SV194: set_Product_prod_b_b,SV131: set_Product_prod_b_b] :
( ( ( SV131 = SV194 )
= $false )
| ( ( ~ ( ~ ( ( SV70 != SV172 ) )
| ~ ! [SY538: set_Product_prod_b_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV131
!= ( insert1952693431od_b_b @ SV172 @ SY538 ) )
| ~ ~ ( member1285940496od_b_b @ SV172 @ SY538 ) )
| ( SV194
!= ( insert1952693431od_b_b @ SV70 @ SY538 ) ) )
| ~ ~ ( member1285940496od_b_b @ SV70 @ SY538 ) ) ) )
= $true )
| ( ( ~ ( ( ( insert1952693431od_b_b @ SV70 @ SV131 )
!= ( insert1952693431od_b_b @ SV172 @ SV194 ) )
| ~ ~ ( ~ ( ( SV70 != SV172 )
| ( SV131 = SV194 ) )
| ~ ( ~ ( ( SV70 != SV172 ) )
| ~ ! [SY538: set_Product_prod_b_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV131
!= ( insert1952693431od_b_b @ SV172 @ SY538 ) )
| ~ ~ ( member1285940496od_b_b @ SV172 @ SY538 ) )
| ( SV194
!= ( insert1952693431od_b_b @ SV70 @ SY538 ) ) )
| ~ ~ ( member1285940496od_b_b @ SV70 @ SY538 ) ) ) ) ) )
= $true )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1649]) ).
thf(1667,plain,
! [SV227: b,SV88: set_Product_prod_b_b,SV224: b,SV217: b] :
( ( ( member1285940496od_b_b @ ( product_Pair_b_b @ SV217 @ SV224 ) @ SV88 )
= $false )
| ( ( ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SV224 @ SV227 ) @ SV88 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SV217 @ SV227 ) @ SV88 ) )
= $true )
| ( ( member1285940496od_b_b @ ( product_Pair_b_b @ ( sK38_SY416 @ SV88 ) @ ( sK43_SY551 @ SV88 ) ) @ SV88 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1650]) ).
thf(1668,plain,
! [SV231: b,SV88: set_Product_prod_b_b,SV228: b,SV225: b] :
( ( ( ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SV225 @ SV228 ) @ SV88 ) )
= $true )
| ( ( ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SV228 @ SV231 ) @ SV88 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SV225 @ SV231 ) @ SV88 ) )
= $true )
| ( ( member1285940496od_b_b @ ( product_Pair_b_b @ ( sK43_SY551 @ SV88 ) @ ( sK46_SY556 @ SV88 ) ) @ SV88 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1651]) ).
thf(1669,plain,
! [SV229: b,SV88: set_Product_prod_b_b,SV226: b,SV218: b] :
( ( ( member1285940496od_b_b @ ( product_Pair_b_b @ SV218 @ SV226 ) @ SV88 )
= $false )
| ( ( ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SV226 @ SV229 ) @ SV88 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SV218 @ SV229 ) @ SV88 ) )
= $true )
| ( ( member1285940496od_b_b @ ( product_Pair_b_b @ ( sK38_SY416 @ SV88 ) @ ( sK46_SY556 @ SV88 ) ) @ SV88 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1652]) ).
thf(1670,plain,
! [SV114: set_b,SV187: set_Product_prod_b_b,SV222: b,SV211: b] :
( ( ( SV211 != SV222 )
= $false )
| ( ( ( member1285940496od_b_b @ ( product_Pair_b_b @ SV211 @ SV222 ) @ SV187 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SV222 @ SV211 ) @ SV187 ) )
= $true )
| ( ( member_b @ SV222 @ SV114 )
= $false )
| ( ( member_b @ SV211 @ SV114 )
= $false )
| ( ( total_on_b @ SV114 @ SV187 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1657]) ).
thf(1671,plain,
! [SV187: set_Product_prod_b_b,SV223: b,SV114: set_b,SV232: b] :
( ( ( ~ ( member_b @ SV232 @ SV114 ) )
= $true )
| ( ( ~ ( ( SV223 != SV232 ) )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SV223 @ SV232 ) @ SV187 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SV232 @ SV223 ) @ SV187 ) )
= $true )
| ( ( member_b @ SV223 @ SV114 )
= $false )
| ( ( member_b @ ( sK49_SY531 @ SV187 @ SV114 ) @ SV114 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1658]) ).
thf(1672,plain,
! [SV187: set_Product_prod_b_b,SV114: set_b,SV230: b] :
( ( ( member_b @ SV230 @ SV114 )
= $false )
| ( ( ! [SY575: b] :
( ~ ( member_b @ SY575 @ SV114 )
| ~ ( ( SV230 != SY575 ) )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SV230 @ SY575 ) @ SV187 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SY575 @ SV230 ) @ SV187 ) ) )
= $true )
| ( ( member_b @ ( sK51_SY557 @ SV187 @ SV114 ) @ SV114 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1659]) ).
thf(1673,plain,
! [SV187: set_Product_prod_b_b,SV114: set_b,SV235: b] :
( ( ( ~ ( member_b @ SV235 @ SV114 )
| ! [SY578: b] :
( ~ ( member_b @ SY578 @ SV114 )
| ~ ( ( SV235 != SY578 ) )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SV235 @ SY578 ) @ SV187 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SY578 @ SV235 ) @ SV187 ) ) )
= $true )
| ( ( ( sK49_SY531 @ SV187 @ SV114 )
= ( sK51_SY557 @ SV187 @ SV114 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1661]) ).
thf(1674,plain,
! [SV187: set_Product_prod_b_b,SV114: set_b,SV233: b] :
( ( ( ~ ( member_b @ SV233 @ SV114 ) )
= $true )
| ( ( ! [SY576: b] :
( ~ ( member_b @ SY576 @ SV114 )
| ~ ( ( SV233 != SY576 ) )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SV233 @ SY576 ) @ SV187 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SY576 @ SV233 ) @ SV187 ) ) )
= $true )
| ( ( member1285940496od_b_b @ ( product_Pair_b_b @ ( sK49_SY531 @ SV187 @ SV114 ) @ ( sK51_SY557 @ SV187 @ SV114 ) ) @ SV187 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1662]) ).
thf(1675,plain,
! [SV187: set_Product_prod_b_b,SV114: set_b,SV234: b] :
( ( ( ~ ( member_b @ SV234 @ SV114 ) )
= $true )
| ( ( ! [SY577: b] :
( ~ ( member_b @ SY577 @ SV114 )
| ~ ( ( SV234 != SY577 ) )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SV234 @ SY577 ) @ SV187 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SY577 @ SV234 ) @ SV187 ) ) )
= $true )
| ( ( member1285940496od_b_b @ ( product_Pair_b_b @ ( sK51_SY557 @ SV187 @ SV114 ) @ ( sK49_SY531 @ SV187 @ SV114 ) ) @ SV187 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1663]) ).
thf(1676,plain,
! [SV194: set_Product_prod_b_b,SV131: set_Product_prod_b_b,SV172: product_prod_b_b,SV70: product_prod_b_b] :
( ( ( ~ ( ( SV70 != SV172 )
| ( SV131 = SV194 ) ) )
= $false )
| ( ( ( insert1952693431od_b_b @ SV70 @ SV131 )
= ( insert1952693431od_b_b @ SV172 @ SV194 ) )
= $false )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1664]) ).
thf(1677,plain,
! [SV194: set_Product_prod_b_b,SV131: set_Product_prod_b_b,SV172: product_prod_b_b,SV70: product_prod_b_b] :
( ( ( ~ ( ~ ( ( SV70 != SV172 ) )
| ~ ! [SY538: set_Product_prod_b_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV131
!= ( insert1952693431od_b_b @ SV172 @ SY538 ) )
| ~ ~ ( member1285940496od_b_b @ SV172 @ SY538 ) )
| ( SV194
!= ( insert1952693431od_b_b @ SV70 @ SY538 ) ) )
| ~ ~ ( member1285940496od_b_b @ SV70 @ SY538 ) ) ) )
= $false )
| ( ( ( insert1952693431od_b_b @ SV70 @ SV131 )
= ( insert1952693431od_b_b @ SV172 @ SV194 ) )
= $false )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1664]) ).
thf(1678,plain,
! [SV194: set_Product_prod_b_b,SV131: set_Product_prod_b_b,SV172: product_prod_b_b,SV70: product_prod_b_b] :
( ( ( SV70 = SV172 )
= $true )
| ( ( ~ ( ~ ( ( SV70 != SV172 ) )
| ~ ! [SY538: set_Product_prod_b_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV131
!= ( insert1952693431od_b_b @ SV172 @ SY538 ) )
| ~ ~ ( member1285940496od_b_b @ SV172 @ SY538 ) )
| ( SV194
!= ( insert1952693431od_b_b @ SV70 @ SY538 ) ) )
| ~ ~ ( member1285940496od_b_b @ SV70 @ SY538 ) ) ) )
= $true )
| ( ( ~ ( ( ( insert1952693431od_b_b @ SV70 @ SV131 )
!= ( insert1952693431od_b_b @ SV172 @ SV194 ) )
| ~ ~ ( ~ ( ( SV70 != SV172 )
| ( SV131 = SV194 ) )
| ~ ( ~ ( ( SV70 != SV172 ) )
| ~ ! [SY538: set_Product_prod_b_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV131
!= ( insert1952693431od_b_b @ SV172 @ SY538 ) )
| ~ ~ ( member1285940496od_b_b @ SV172 @ SY538 ) )
| ( SV194
!= ( insert1952693431od_b_b @ SV70 @ SY538 ) ) )
| ~ ~ ( member1285940496od_b_b @ SV70 @ SY538 ) ) ) ) ) )
= $true )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1665]) ).
thf(1679,plain,
! [SV194: set_Product_prod_b_b,SV131: set_Product_prod_b_b,SV172: product_prod_b_b,SV70: product_prod_b_b] :
( ( ( ~ ( ( SV70 != SV172 ) )
| ~ ! [SY538: set_Product_prod_b_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV131
!= ( insert1952693431od_b_b @ SV172 @ SY538 ) )
| ~ ~ ( member1285940496od_b_b @ SV172 @ SY538 ) )
| ( SV194
!= ( insert1952693431od_b_b @ SV70 @ SY538 ) ) )
| ~ ~ ( member1285940496od_b_b @ SV70 @ SY538 ) ) )
= $false )
| ( ( SV131 = SV194 )
= $false )
| ( ( ~ ( ( ( insert1952693431od_b_b @ SV70 @ SV131 )
!= ( insert1952693431od_b_b @ SV172 @ SV194 ) )
| ~ ~ ( ~ ( ( SV70 != SV172 )
| ( SV131 = SV194 ) )
| ~ ( ~ ( ( SV70 != SV172 ) )
| ~ ! [SY538: set_Product_prod_b_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV131
!= ( insert1952693431od_b_b @ SV172 @ SY538 ) )
| ~ ~ ( member1285940496od_b_b @ SV172 @ SY538 ) )
| ( SV194
!= ( insert1952693431od_b_b @ SV70 @ SY538 ) ) )
| ~ ~ ( member1285940496od_b_b @ SV70 @ SY538 ) ) ) ) ) )
= $true )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1666]) ).
thf(1680,plain,
! [SV217: b,SV88: set_Product_prod_b_b,SV227: b,SV224: b] :
( ( ( ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SV224 @ SV227 ) @ SV88 ) )
= $true )
| ( ( member1285940496od_b_b @ ( product_Pair_b_b @ SV217 @ SV227 ) @ SV88 )
= $true )
| ( ( member1285940496od_b_b @ ( product_Pair_b_b @ SV217 @ SV224 ) @ SV88 )
= $false )
| ( ( member1285940496od_b_b @ ( product_Pair_b_b @ ( sK38_SY416 @ SV88 ) @ ( sK43_SY551 @ SV88 ) ) @ SV88 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1667]) ).
thf(1681,plain,
! [SV231: b,SV88: set_Product_prod_b_b,SV228: b,SV225: b] :
( ( ( member1285940496od_b_b @ ( product_Pair_b_b @ SV225 @ SV228 ) @ SV88 )
= $false )
| ( ( ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SV228 @ SV231 ) @ SV88 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SV225 @ SV231 ) @ SV88 ) )
= $true )
| ( ( member1285940496od_b_b @ ( product_Pair_b_b @ ( sK43_SY551 @ SV88 ) @ ( sK46_SY556 @ SV88 ) ) @ SV88 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1668]) ).
thf(1682,plain,
! [SV218: b,SV88: set_Product_prod_b_b,SV229: b,SV226: b] :
( ( ( ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SV226 @ SV229 ) @ SV88 ) )
= $true )
| ( ( member1285940496od_b_b @ ( product_Pair_b_b @ SV218 @ SV229 ) @ SV88 )
= $true )
| ( ( member1285940496od_b_b @ ( product_Pair_b_b @ SV218 @ SV226 ) @ SV88 )
= $false )
| ( ( member1285940496od_b_b @ ( product_Pair_b_b @ ( sK38_SY416 @ SV88 ) @ ( sK46_SY556 @ SV88 ) ) @ SV88 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1669]) ).
thf(1683,plain,
! [SV114: set_b,SV187: set_Product_prod_b_b,SV222: b,SV211: b] :
( ( ( SV211 = SV222 )
= $true )
| ( ( ( member1285940496od_b_b @ ( product_Pair_b_b @ SV211 @ SV222 ) @ SV187 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SV222 @ SV211 ) @ SV187 ) )
= $true )
| ( ( member_b @ SV222 @ SV114 )
= $false )
| ( ( member_b @ SV211 @ SV114 )
= $false )
| ( ( total_on_b @ SV114 @ SV187 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1670]) ).
thf(1684,plain,
! [SV187: set_Product_prod_b_b,SV223: b,SV114: set_b,SV232: b] :
( ( ( member_b @ SV232 @ SV114 )
= $false )
| ( ( ~ ( ( SV223 != SV232 ) )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SV223 @ SV232 ) @ SV187 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SV232 @ SV223 ) @ SV187 ) )
= $true )
| ( ( member_b @ SV223 @ SV114 )
= $false )
| ( ( member_b @ ( sK49_SY531 @ SV187 @ SV114 ) @ SV114 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1671]) ).
thf(1685,plain,
! [SV187: set_Product_prod_b_b,SV230: b,SV114: set_b,SV236: b] :
( ( ( ~ ( member_b @ SV236 @ SV114 )
| ~ ( ( SV230 != SV236 ) )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SV230 @ SV236 ) @ SV187 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SV236 @ SV230 ) @ SV187 ) )
= $true )
| ( ( member_b @ SV230 @ SV114 )
= $false )
| ( ( member_b @ ( sK51_SY557 @ SV187 @ SV114 ) @ SV114 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1672]) ).
thf(1686,plain,
! [SV187: set_Product_prod_b_b,SV114: set_b,SV235: b] :
( ( ( ~ ( member_b @ SV235 @ SV114 ) )
= $true )
| ( ( ! [SY578: b] :
( ~ ( member_b @ SY578 @ SV114 )
| ~ ( ( SV235 != SY578 ) )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SV235 @ SY578 ) @ SV187 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SY578 @ SV235 ) @ SV187 ) ) )
= $true )
| ( ( ( sK49_SY531 @ SV187 @ SV114 )
= ( sK51_SY557 @ SV187 @ SV114 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1673]) ).
thf(1687,plain,
! [SV187: set_Product_prod_b_b,SV114: set_b,SV233: b] :
( ( ( member_b @ SV233 @ SV114 )
= $false )
| ( ( ! [SY576: b] :
( ~ ( member_b @ SY576 @ SV114 )
| ~ ( ( SV233 != SY576 ) )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SV233 @ SY576 ) @ SV187 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SY576 @ SV233 ) @ SV187 ) ) )
= $true )
| ( ( member1285940496od_b_b @ ( product_Pair_b_b @ ( sK49_SY531 @ SV187 @ SV114 ) @ ( sK51_SY557 @ SV187 @ SV114 ) ) @ SV187 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1674]) ).
thf(1688,plain,
! [SV187: set_Product_prod_b_b,SV114: set_b,SV234: b] :
( ( ( member_b @ SV234 @ SV114 )
= $false )
| ( ( ! [SY577: b] :
( ~ ( member_b @ SY577 @ SV114 )
| ~ ( ( SV234 != SY577 ) )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SV234 @ SY577 ) @ SV187 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SY577 @ SV234 ) @ SV187 ) ) )
= $true )
| ( ( member1285940496od_b_b @ ( product_Pair_b_b @ ( sK51_SY557 @ SV187 @ SV114 ) @ ( sK49_SY531 @ SV187 @ SV114 ) ) @ SV187 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1675]) ).
thf(1689,plain,
! [SV194: set_Product_prod_b_b,SV131: set_Product_prod_b_b,SV172: product_prod_b_b,SV70: product_prod_b_b] :
( ( ( ( SV70 != SV172 )
| ( SV131 = SV194 ) )
= $true )
| ( ( ( insert1952693431od_b_b @ SV70 @ SV131 )
= ( insert1952693431od_b_b @ SV172 @ SV194 ) )
= $false )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1676]) ).
thf(1690,plain,
! [SV194: set_Product_prod_b_b,SV131: set_Product_prod_b_b,SV172: product_prod_b_b,SV70: product_prod_b_b] :
( ( ( ~ ( ( SV70 != SV172 ) )
| ~ ! [SY538: set_Product_prod_b_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV131
!= ( insert1952693431od_b_b @ SV172 @ SY538 ) )
| ~ ~ ( member1285940496od_b_b @ SV172 @ SY538 ) )
| ( SV194
!= ( insert1952693431od_b_b @ SV70 @ SY538 ) ) )
| ~ ~ ( member1285940496od_b_b @ SV70 @ SY538 ) ) )
= $true )
| ( ( ( insert1952693431od_b_b @ SV70 @ SV131 )
= ( insert1952693431od_b_b @ SV172 @ SV194 ) )
= $false )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1677]) ).
thf(1691,plain,
! [SV194: set_Product_prod_b_b,SV131: set_Product_prod_b_b,SV172: product_prod_b_b,SV70: product_prod_b_b] :
( ( ( ~ ( ( SV70 != SV172 ) )
| ~ ! [SY538: set_Product_prod_b_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV131
!= ( insert1952693431od_b_b @ SV172 @ SY538 ) )
| ~ ~ ( member1285940496od_b_b @ SV172 @ SY538 ) )
| ( SV194
!= ( insert1952693431od_b_b @ SV70 @ SY538 ) ) )
| ~ ~ ( member1285940496od_b_b @ SV70 @ SY538 ) ) )
= $false )
| ( ( SV70 = SV172 )
= $true )
| ( ( ~ ( ( ( insert1952693431od_b_b @ SV70 @ SV131 )
!= ( insert1952693431od_b_b @ SV172 @ SV194 ) )
| ~ ~ ( ~ ( ( SV70 != SV172 )
| ( SV131 = SV194 ) )
| ~ ( ~ ( ( SV70 != SV172 ) )
| ~ ! [SY538: set_Product_prod_b_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV131
!= ( insert1952693431od_b_b @ SV172 @ SY538 ) )
| ~ ~ ( member1285940496od_b_b @ SV172 @ SY538 ) )
| ( SV194
!= ( insert1952693431od_b_b @ SV70 @ SY538 ) ) )
| ~ ~ ( member1285940496od_b_b @ SV70 @ SY538 ) ) ) ) ) )
= $true )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1678]) ).
thf(1692,plain,
! [SV194: set_Product_prod_b_b,SV131: set_Product_prod_b_b,SV172: product_prod_b_b,SV70: product_prod_b_b] :
( ( ( ~ ( ( SV70 != SV172 ) ) )
= $false )
| ( ( SV131 = SV194 )
= $false )
| ( ( ~ ( ( ( insert1952693431od_b_b @ SV70 @ SV131 )
!= ( insert1952693431od_b_b @ SV172 @ SV194 ) )
| ~ ~ ( ~ ( ( SV70 != SV172 )
| ( SV131 = SV194 ) )
| ~ ( ~ ( ( SV70 != SV172 ) )
| ~ ! [SY538: set_Product_prod_b_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV131
!= ( insert1952693431od_b_b @ SV172 @ SY538 ) )
| ~ ~ ( member1285940496od_b_b @ SV172 @ SY538 ) )
| ( SV194
!= ( insert1952693431od_b_b @ SV70 @ SY538 ) ) )
| ~ ~ ( member1285940496od_b_b @ SV70 @ SY538 ) ) ) ) ) )
= $true )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1679]) ).
thf(1693,plain,
! [SV70: product_prod_b_b,SV194: set_Product_prod_b_b,SV172: product_prod_b_b,SV131: set_Product_prod_b_b] :
( ( ( ~ ! [SY538: set_Product_prod_b_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV131
!= ( insert1952693431od_b_b @ SV172 @ SY538 ) )
| ~ ~ ( member1285940496od_b_b @ SV172 @ SY538 ) )
| ( SV194
!= ( insert1952693431od_b_b @ SV70 @ SY538 ) ) )
| ~ ~ ( member1285940496od_b_b @ SV70 @ SY538 ) ) )
= $false )
| ( ( SV131 = SV194 )
= $false )
| ( ( ~ ( ( ( insert1952693431od_b_b @ SV70 @ SV131 )
!= ( insert1952693431od_b_b @ SV172 @ SV194 ) )
| ~ ~ ( ~ ( ( SV70 != SV172 )
| ( SV131 = SV194 ) )
| ~ ( ~ ( ( SV70 != SV172 ) )
| ~ ! [SY538: set_Product_prod_b_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV131
!= ( insert1952693431od_b_b @ SV172 @ SY538 ) )
| ~ ~ ( member1285940496od_b_b @ SV172 @ SY538 ) )
| ( SV194
!= ( insert1952693431od_b_b @ SV70 @ SY538 ) ) )
| ~ ~ ( member1285940496od_b_b @ SV70 @ SY538 ) ) ) ) ) )
= $true )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1679]) ).
thf(1694,plain,
! [SV217: b,SV88: set_Product_prod_b_b,SV227: b,SV224: b] :
( ( ( member1285940496od_b_b @ ( product_Pair_b_b @ SV224 @ SV227 ) @ SV88 )
= $false )
| ( ( member1285940496od_b_b @ ( product_Pair_b_b @ SV217 @ SV227 ) @ SV88 )
= $true )
| ( ( member1285940496od_b_b @ ( product_Pair_b_b @ SV217 @ SV224 ) @ SV88 )
= $false )
| ( ( member1285940496od_b_b @ ( product_Pair_b_b @ ( sK38_SY416 @ SV88 ) @ ( sK43_SY551 @ SV88 ) ) @ SV88 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1680]) ).
thf(1695,plain,
! [SV225: b,SV88: set_Product_prod_b_b,SV231: b,SV228: b] :
( ( ( ~ ( member1285940496od_b_b @ ( product_Pair_b_b @ SV228 @ SV231 ) @ SV88 ) )
= $true )
| ( ( member1285940496od_b_b @ ( product_Pair_b_b @ SV225 @ SV231 ) @ SV88 )
= $true )
| ( ( member1285940496od_b_b @ ( product_Pair_b_b @ SV225 @ SV228 ) @ SV88 )
= $false )
| ( ( member1285940496od_b_b @ ( product_Pair_b_b @ ( sK43_SY551 @ SV88 ) @ ( sK46_SY556 @ SV88 ) ) @ SV88 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1681]) ).
thf(1696,plain,
! [SV218: b,SV88: set_Product_prod_b_b,SV229: b,SV226: b] :
( ( ( member1285940496od_b_b @ ( product_Pair_b_b @ SV226 @ SV229 ) @ SV88 )
= $false )
| ( ( member1285940496od_b_b @ ( product_Pair_b_b @ SV218 @ SV229 ) @ SV88 )
= $true )
| ( ( member1285940496od_b_b @ ( product_Pair_b_b @ SV218 @ SV226 ) @ SV88 )
= $false )
| ( ( member1285940496od_b_b @ ( product_Pair_b_b @ ( sK38_SY416 @ SV88 ) @ ( sK46_SY556 @ SV88 ) ) @ SV88 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1682]) ).
thf(1697,plain,
! [SV114: set_b,SV187: set_Product_prod_b_b,SV222: b,SV211: b] :
( ( ( member1285940496od_b_b @ ( product_Pair_b_b @ SV211 @ SV222 ) @ SV187 )
= $true )
| ( ( member1285940496od_b_b @ ( product_Pair_b_b @ SV222 @ SV211 ) @ SV187 )
= $true )
| ( ( SV211 = SV222 )
= $true )
| ( ( member_b @ SV222 @ SV114 )
= $false )
| ( ( member_b @ SV211 @ SV114 )
= $false )
| ( ( total_on_b @ SV114 @ SV187 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1683]) ).
thf(1698,plain,
! [SV114: set_b,SV187: set_Product_prod_b_b,SV232: b,SV223: b] :
( ( ( ~ ( ( SV223 != SV232 ) ) )
= $true )
| ( ( ( member1285940496od_b_b @ ( product_Pair_b_b @ SV223 @ SV232 ) @ SV187 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SV232 @ SV223 ) @ SV187 ) )
= $true )
| ( ( member_b @ SV232 @ SV114 )
= $false )
| ( ( member_b @ SV223 @ SV114 )
= $false )
| ( ( member_b @ ( sK49_SY531 @ SV187 @ SV114 ) @ SV114 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1684]) ).
thf(1699,plain,
! [SV187: set_Product_prod_b_b,SV230: b,SV114: set_b,SV236: b] :
( ( ( ~ ( member_b @ SV236 @ SV114 ) )
= $true )
| ( ( ~ ( ( SV230 != SV236 ) )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SV230 @ SV236 ) @ SV187 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SV236 @ SV230 ) @ SV187 ) )
= $true )
| ( ( member_b @ SV230 @ SV114 )
= $false )
| ( ( member_b @ ( sK51_SY557 @ SV187 @ SV114 ) @ SV114 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1685]) ).
thf(1700,plain,
! [SV187: set_Product_prod_b_b,SV114: set_b,SV235: b] :
( ( ( member_b @ SV235 @ SV114 )
= $false )
| ( ( ! [SY578: b] :
( ~ ( member_b @ SY578 @ SV114 )
| ~ ( ( SV235 != SY578 ) )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SV235 @ SY578 ) @ SV187 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SY578 @ SV235 ) @ SV187 ) ) )
= $true )
| ( ( ( sK49_SY531 @ SV187 @ SV114 )
= ( sK51_SY557 @ SV187 @ SV114 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1686]) ).
thf(1701,plain,
! [SV187: set_Product_prod_b_b,SV233: b,SV114: set_b,SV237: b] :
( ( ( ~ ( member_b @ SV237 @ SV114 )
| ~ ( ( SV233 != SV237 ) )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SV233 @ SV237 ) @ SV187 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SV237 @ SV233 ) @ SV187 ) )
= $true )
| ( ( member_b @ SV233 @ SV114 )
= $false )
| ( ( member1285940496od_b_b @ ( product_Pair_b_b @ ( sK49_SY531 @ SV187 @ SV114 ) @ ( sK51_SY557 @ SV187 @ SV114 ) ) @ SV187 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1687]) ).
thf(1702,plain,
! [SV187: set_Product_prod_b_b,SV234: b,SV114: set_b,SV238: b] :
( ( ( ~ ( member_b @ SV238 @ SV114 )
| ~ ( ( SV234 != SV238 ) )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SV234 @ SV238 ) @ SV187 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SV238 @ SV234 ) @ SV187 ) )
= $true )
| ( ( member_b @ SV234 @ SV114 )
= $false )
| ( ( member1285940496od_b_b @ ( product_Pair_b_b @ ( sK51_SY557 @ SV187 @ SV114 ) @ ( sK49_SY531 @ SV187 @ SV114 ) ) @ SV187 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1688]) ).
thf(1703,plain,
! [SV194: set_Product_prod_b_b,SV131: set_Product_prod_b_b,SV172: product_prod_b_b,SV70: product_prod_b_b] :
( ( ( SV70 != SV172 )
= $true )
| ( ( SV131 = SV194 )
= $true )
| ( ( ( insert1952693431od_b_b @ SV70 @ SV131 )
= ( insert1952693431od_b_b @ SV172 @ SV194 ) )
= $false )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1689]) ).
thf(1704,plain,
! [SV194: set_Product_prod_b_b,SV131: set_Product_prod_b_b,SV172: product_prod_b_b,SV70: product_prod_b_b] :
( ( ( ~ ( ( SV70 != SV172 ) ) )
= $true )
| ( ( ~ ! [SY538: set_Product_prod_b_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV131
!= ( insert1952693431od_b_b @ SV172 @ SY538 ) )
| ~ ~ ( member1285940496od_b_b @ SV172 @ SY538 ) )
| ( SV194
!= ( insert1952693431od_b_b @ SV70 @ SY538 ) ) )
| ~ ~ ( member1285940496od_b_b @ SV70 @ SY538 ) ) )
= $true )
| ( ( ( insert1952693431od_b_b @ SV70 @ SV131 )
= ( insert1952693431od_b_b @ SV172 @ SV194 ) )
= $false )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1690]) ).
thf(1705,plain,
! [SV194: set_Product_prod_b_b,SV131: set_Product_prod_b_b,SV172: product_prod_b_b,SV70: product_prod_b_b] :
( ( ( ~ ( ( SV70 != SV172 ) ) )
= $false )
| ( ( SV70 = SV172 )
= $true )
| ( ( ~ ( ( ( insert1952693431od_b_b @ SV70 @ SV131 )
!= ( insert1952693431od_b_b @ SV172 @ SV194 ) )
| ~ ~ ( ~ ( ( SV70 != SV172 )
| ( SV131 = SV194 ) )
| ~ ( ~ ( ( SV70 != SV172 ) )
| ~ ! [SY538: set_Product_prod_b_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV131
!= ( insert1952693431od_b_b @ SV172 @ SY538 ) )
| ~ ~ ( member1285940496od_b_b @ SV172 @ SY538 ) )
| ( SV194
!= ( insert1952693431od_b_b @ SV70 @ SY538 ) ) )
| ~ ~ ( member1285940496od_b_b @ SV70 @ SY538 ) ) ) ) ) )
= $true )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1691]) ).
thf(1706,plain,
! [SV70: product_prod_b_b,SV194: set_Product_prod_b_b,SV172: product_prod_b_b,SV131: set_Product_prod_b_b] :
( ( ( ~ ! [SY538: set_Product_prod_b_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV131
!= ( insert1952693431od_b_b @ SV172 @ SY538 ) )
| ~ ~ ( member1285940496od_b_b @ SV172 @ SY538 ) )
| ( SV194
!= ( insert1952693431od_b_b @ SV70 @ SY538 ) ) )
| ~ ~ ( member1285940496od_b_b @ SV70 @ SY538 ) ) )
= $false )
| ( ( SV70 = SV172 )
= $true )
| ( ( ~ ( ( ( insert1952693431od_b_b @ SV70 @ SV131 )
!= ( insert1952693431od_b_b @ SV172 @ SV194 ) )
| ~ ~ ( ~ ( ( SV70 != SV172 )
| ( SV131 = SV194 ) )
| ~ ( ~ ( ( SV70 != SV172 ) )
| ~ ! [SY538: set_Product_prod_b_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV131
!= ( insert1952693431od_b_b @ SV172 @ SY538 ) )
| ~ ~ ( member1285940496od_b_b @ SV172 @ SY538 ) )
| ( SV194
!= ( insert1952693431od_b_b @ SV70 @ SY538 ) ) )
| ~ ~ ( member1285940496od_b_b @ SV70 @ SY538 ) ) ) ) ) )
= $true )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1691]) ).
thf(1707,plain,
! [SV194: set_Product_prod_b_b,SV131: set_Product_prod_b_b,SV172: product_prod_b_b,SV70: product_prod_b_b] :
( ( ( SV70 != SV172 )
= $true )
| ( ( SV131 = SV194 )
= $false )
| ( ( ~ ( ( ( insert1952693431od_b_b @ SV70 @ SV131 )
!= ( insert1952693431od_b_b @ SV172 @ SV194 ) )
| ~ ~ ( ~ ( ( SV70 != SV172 )
| ( SV131 = SV194 ) )
| ~ ( ~ ( ( SV70 != SV172 ) )
| ~ ! [SY538: set_Product_prod_b_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV131
!= ( insert1952693431od_b_b @ SV172 @ SY538 ) )
| ~ ~ ( member1285940496od_b_b @ SV172 @ SY538 ) )
| ( SV194
!= ( insert1952693431od_b_b @ SV70 @ SY538 ) ) )
| ~ ~ ( member1285940496od_b_b @ SV70 @ SY538 ) ) ) ) ) )
= $true )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1692]) ).
thf(1708,plain,
! [SV70: product_prod_b_b,SV194: set_Product_prod_b_b,SV172: product_prod_b_b,SV131: set_Product_prod_b_b] :
( ( ( ! [SY538: set_Product_prod_b_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV131
!= ( insert1952693431od_b_b @ SV172 @ SY538 ) )
| ~ ~ ( member1285940496od_b_b @ SV172 @ SY538 ) )
| ( SV194
!= ( insert1952693431od_b_b @ SV70 @ SY538 ) ) )
| ~ ~ ( member1285940496od_b_b @ SV70 @ SY538 ) ) )
= $true )
| ( ( SV131 = SV194 )
= $false )
| ( ( ~ ( ( ( insert1952693431od_b_b @ SV70 @ SV131 )
!= ( insert1952693431od_b_b @ SV172 @ SV194 ) )
| ~ ~ ( ~ ( ( SV70 != SV172 )
| ( SV131 = SV194 ) )
| ~ ( ~ ( ( SV70 != SV172 ) )
| ~ ! [SY538: set_Product_prod_b_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV131
!= ( insert1952693431od_b_b @ SV172 @ SY538 ) )
| ~ ~ ( member1285940496od_b_b @ SV172 @ SY538 ) )
| ( SV194
!= ( insert1952693431od_b_b @ SV70 @ SY538 ) ) )
| ~ ~ ( member1285940496od_b_b @ SV70 @ SY538 ) ) ) ) ) )
= $true )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1693]) ).
thf(1709,plain,
! [SV225: b,SV88: set_Product_prod_b_b,SV231: b,SV228: b] :
( ( ( member1285940496od_b_b @ ( product_Pair_b_b @ SV228 @ SV231 ) @ SV88 )
= $false )
| ( ( member1285940496od_b_b @ ( product_Pair_b_b @ SV225 @ SV231 ) @ SV88 )
= $true )
| ( ( member1285940496od_b_b @ ( product_Pair_b_b @ SV225 @ SV228 ) @ SV88 )
= $false )
| ( ( member1285940496od_b_b @ ( product_Pair_b_b @ ( sK43_SY551 @ SV88 ) @ ( sK46_SY556 @ SV88 ) ) @ SV88 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1695]) ).
thf(1710,plain,
! [SV114: set_b,SV187: set_Product_prod_b_b,SV232: b,SV223: b] :
( ( ( SV223 != SV232 )
= $false )
| ( ( ( member1285940496od_b_b @ ( product_Pair_b_b @ SV223 @ SV232 ) @ SV187 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SV232 @ SV223 ) @ SV187 ) )
= $true )
| ( ( member_b @ SV232 @ SV114 )
= $false )
| ( ( member_b @ SV223 @ SV114 )
= $false )
| ( ( member_b @ ( sK49_SY531 @ SV187 @ SV114 ) @ SV114 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1698]) ).
thf(1711,plain,
! [SV187: set_Product_prod_b_b,SV230: b,SV114: set_b,SV236: b] :
( ( ( member_b @ SV236 @ SV114 )
= $false )
| ( ( ~ ( ( SV230 != SV236 ) )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SV230 @ SV236 ) @ SV187 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SV236 @ SV230 ) @ SV187 ) )
= $true )
| ( ( member_b @ SV230 @ SV114 )
= $false )
| ( ( member_b @ ( sK51_SY557 @ SV187 @ SV114 ) @ SV114 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1699]) ).
thf(1712,plain,
! [SV187: set_Product_prod_b_b,SV235: b,SV114: set_b,SV239: b] :
( ( ( ~ ( member_b @ SV239 @ SV114 )
| ~ ( ( SV235 != SV239 ) )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SV235 @ SV239 ) @ SV187 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SV239 @ SV235 ) @ SV187 ) )
= $true )
| ( ( member_b @ SV235 @ SV114 )
= $false )
| ( ( ( sK49_SY531 @ SV187 @ SV114 )
= ( sK51_SY557 @ SV187 @ SV114 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1700]) ).
thf(1713,plain,
! [SV187: set_Product_prod_b_b,SV233: b,SV114: set_b,SV237: b] :
( ( ( ~ ( member_b @ SV237 @ SV114 ) )
= $true )
| ( ( ~ ( ( SV233 != SV237 ) )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SV233 @ SV237 ) @ SV187 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SV237 @ SV233 ) @ SV187 ) )
= $true )
| ( ( member_b @ SV233 @ SV114 )
= $false )
| ( ( member1285940496od_b_b @ ( product_Pair_b_b @ ( sK49_SY531 @ SV187 @ SV114 ) @ ( sK51_SY557 @ SV187 @ SV114 ) ) @ SV187 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1701]) ).
thf(1714,plain,
! [SV187: set_Product_prod_b_b,SV234: b,SV114: set_b,SV238: b] :
( ( ( ~ ( member_b @ SV238 @ SV114 ) )
= $true )
| ( ( ~ ( ( SV234 != SV238 ) )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SV234 @ SV238 ) @ SV187 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SV238 @ SV234 ) @ SV187 ) )
= $true )
| ( ( member_b @ SV234 @ SV114 )
= $false )
| ( ( member1285940496od_b_b @ ( product_Pair_b_b @ ( sK51_SY557 @ SV187 @ SV114 ) @ ( sK49_SY531 @ SV187 @ SV114 ) ) @ SV187 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1702]) ).
thf(1715,plain,
! [SV194: set_Product_prod_b_b,SV131: set_Product_prod_b_b,SV172: product_prod_b_b,SV70: product_prod_b_b] :
( ( ( SV70 = SV172 )
= $false )
| ( ( SV131 = SV194 )
= $true )
| ( ( ( insert1952693431od_b_b @ SV70 @ SV131 )
= ( insert1952693431od_b_b @ SV172 @ SV194 ) )
= $false )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1703]) ).
thf(1716,plain,
! [SV194: set_Product_prod_b_b,SV131: set_Product_prod_b_b,SV172: product_prod_b_b,SV70: product_prod_b_b] :
( ( ( SV70 != SV172 )
= $false )
| ( ( ~ ! [SY538: set_Product_prod_b_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV131
!= ( insert1952693431od_b_b @ SV172 @ SY538 ) )
| ~ ~ ( member1285940496od_b_b @ SV172 @ SY538 ) )
| ( SV194
!= ( insert1952693431od_b_b @ SV70 @ SY538 ) ) )
| ~ ~ ( member1285940496od_b_b @ SV70 @ SY538 ) ) )
= $true )
| ( ( ( insert1952693431od_b_b @ SV70 @ SV131 )
= ( insert1952693431od_b_b @ SV172 @ SV194 ) )
= $false )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1704]) ).
thf(1717,plain,
! [SV194: set_Product_prod_b_b,SV131: set_Product_prod_b_b,SV172: product_prod_b_b,SV70: product_prod_b_b] :
( ( ( SV70 != SV172 )
= $true )
| ( ( SV70 = SV172 )
= $true )
| ( ( ~ ( ( ( insert1952693431od_b_b @ SV70 @ SV131 )
!= ( insert1952693431od_b_b @ SV172 @ SV194 ) )
| ~ ~ ( ~ ( ( SV70 != SV172 )
| ( SV131 = SV194 ) )
| ~ ( ~ ( ( SV70 != SV172 ) )
| ~ ! [SY538: set_Product_prod_b_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV131
!= ( insert1952693431od_b_b @ SV172 @ SY538 ) )
| ~ ~ ( member1285940496od_b_b @ SV172 @ SY538 ) )
| ( SV194
!= ( insert1952693431od_b_b @ SV70 @ SY538 ) ) )
| ~ ~ ( member1285940496od_b_b @ SV70 @ SY538 ) ) ) ) ) )
= $true )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1705]) ).
thf(1718,plain,
! [SV70: product_prod_b_b,SV194: set_Product_prod_b_b,SV172: product_prod_b_b,SV131: set_Product_prod_b_b] :
( ( ( ! [SY538: set_Product_prod_b_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV131
!= ( insert1952693431od_b_b @ SV172 @ SY538 ) )
| ~ ~ ( member1285940496od_b_b @ SV172 @ SY538 ) )
| ( SV194
!= ( insert1952693431od_b_b @ SV70 @ SY538 ) ) )
| ~ ~ ( member1285940496od_b_b @ SV70 @ SY538 ) ) )
= $true )
| ( ( SV70 = SV172 )
= $true )
| ( ( ~ ( ( ( insert1952693431od_b_b @ SV70 @ SV131 )
!= ( insert1952693431od_b_b @ SV172 @ SV194 ) )
| ~ ~ ( ~ ( ( SV70 != SV172 )
| ( SV131 = SV194 ) )
| ~ ( ~ ( ( SV70 != SV172 ) )
| ~ ! [SY538: set_Product_prod_b_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV131
!= ( insert1952693431od_b_b @ SV172 @ SY538 ) )
| ~ ~ ( member1285940496od_b_b @ SV172 @ SY538 ) )
| ( SV194
!= ( insert1952693431od_b_b @ SV70 @ SY538 ) ) )
| ~ ~ ( member1285940496od_b_b @ SV70 @ SY538 ) ) ) ) ) )
= $true )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1706]) ).
thf(1719,plain,
! [SV194: set_Product_prod_b_b,SV131: set_Product_prod_b_b,SV172: product_prod_b_b,SV70: product_prod_b_b] :
( ( ( SV70 = SV172 )
= $false )
| ( ( SV131 = SV194 )
= $false )
| ( ( ~ ( ( ( insert1952693431od_b_b @ SV70 @ SV131 )
!= ( insert1952693431od_b_b @ SV172 @ SV194 ) )
| ~ ~ ( ~ ( ( SV70 != SV172 )
| ( SV131 = SV194 ) )
| ~ ( ~ ( ( SV70 != SV172 ) )
| ~ ! [SY538: set_Product_prod_b_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV131
!= ( insert1952693431od_b_b @ SV172 @ SY538 ) )
| ~ ~ ( member1285940496od_b_b @ SV172 @ SY538 ) )
| ( SV194
!= ( insert1952693431od_b_b @ SV70 @ SY538 ) ) )
| ~ ~ ( member1285940496od_b_b @ SV70 @ SY538 ) ) ) ) ) )
= $true )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1707]) ).
thf(1720,plain,
! [SV70: product_prod_b_b,SV194: set_Product_prod_b_b,SV240: set_Product_prod_b_b,SV172: product_prod_b_b,SV131: set_Product_prod_b_b] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV131
!= ( insert1952693431od_b_b @ SV172 @ SV240 ) )
| ~ ~ ( member1285940496od_b_b @ SV172 @ SV240 ) )
| ( SV194
!= ( insert1952693431od_b_b @ SV70 @ SV240 ) ) )
| ~ ~ ( member1285940496od_b_b @ SV70 @ SV240 ) ) )
= $true )
| ( ( SV131 = SV194 )
= $false )
| ( ( ~ ( ( ( insert1952693431od_b_b @ SV70 @ SV131 )
!= ( insert1952693431od_b_b @ SV172 @ SV194 ) )
| ~ ~ ( ~ ( ( SV70 != SV172 )
| ( SV131 = SV194 ) )
| ~ ( ~ ( ( SV70 != SV172 ) )
| ~ ! [SY538: set_Product_prod_b_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV131
!= ( insert1952693431od_b_b @ SV172 @ SY538 ) )
| ~ ~ ( member1285940496od_b_b @ SV172 @ SY538 ) )
| ( SV194
!= ( insert1952693431od_b_b @ SV70 @ SY538 ) ) )
| ~ ~ ( member1285940496od_b_b @ SV70 @ SY538 ) ) ) ) ) )
= $true )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1708]) ).
thf(1721,plain,
! [SV114: set_b,SV187: set_Product_prod_b_b,SV232: b,SV223: b] :
( ( ( SV223 = SV232 )
= $true )
| ( ( ( member1285940496od_b_b @ ( product_Pair_b_b @ SV223 @ SV232 ) @ SV187 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SV232 @ SV223 ) @ SV187 ) )
= $true )
| ( ( member_b @ SV232 @ SV114 )
= $false )
| ( ( member_b @ SV223 @ SV114 )
= $false )
| ( ( member_b @ ( sK49_SY531 @ SV187 @ SV114 ) @ SV114 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1710]) ).
thf(1722,plain,
! [SV114: set_b,SV187: set_Product_prod_b_b,SV236: b,SV230: b] :
( ( ( ~ ( ( SV230 != SV236 ) ) )
= $true )
| ( ( ( member1285940496od_b_b @ ( product_Pair_b_b @ SV230 @ SV236 ) @ SV187 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SV236 @ SV230 ) @ SV187 ) )
= $true )
| ( ( member_b @ SV236 @ SV114 )
= $false )
| ( ( member_b @ SV230 @ SV114 )
= $false )
| ( ( member_b @ ( sK51_SY557 @ SV187 @ SV114 ) @ SV114 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1711]) ).
thf(1723,plain,
! [SV187: set_Product_prod_b_b,SV235: b,SV114: set_b,SV239: b] :
( ( ( ~ ( member_b @ SV239 @ SV114 ) )
= $true )
| ( ( ~ ( ( SV235 != SV239 ) )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SV235 @ SV239 ) @ SV187 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SV239 @ SV235 ) @ SV187 ) )
= $true )
| ( ( member_b @ SV235 @ SV114 )
= $false )
| ( ( ( sK49_SY531 @ SV187 @ SV114 )
= ( sK51_SY557 @ SV187 @ SV114 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1712]) ).
thf(1724,plain,
! [SV187: set_Product_prod_b_b,SV233: b,SV114: set_b,SV237: b] :
( ( ( member_b @ SV237 @ SV114 )
= $false )
| ( ( ~ ( ( SV233 != SV237 ) )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SV233 @ SV237 ) @ SV187 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SV237 @ SV233 ) @ SV187 ) )
= $true )
| ( ( member_b @ SV233 @ SV114 )
= $false )
| ( ( member1285940496od_b_b @ ( product_Pair_b_b @ ( sK49_SY531 @ SV187 @ SV114 ) @ ( sK51_SY557 @ SV187 @ SV114 ) ) @ SV187 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1713]) ).
thf(1725,plain,
! [SV187: set_Product_prod_b_b,SV234: b,SV114: set_b,SV238: b] :
( ( ( member_b @ SV238 @ SV114 )
= $false )
| ( ( ~ ( ( SV234 != SV238 ) )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SV234 @ SV238 ) @ SV187 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SV238 @ SV234 ) @ SV187 ) )
= $true )
| ( ( member_b @ SV234 @ SV114 )
= $false )
| ( ( member1285940496od_b_b @ ( product_Pair_b_b @ ( sK51_SY557 @ SV187 @ SV114 ) @ ( sK49_SY531 @ SV187 @ SV114 ) ) @ SV187 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1714]) ).
thf(1726,plain,
! [SV194: set_Product_prod_b_b,SV131: set_Product_prod_b_b,SV172: product_prod_b_b,SV70: product_prod_b_b] :
( ( ( SV70 = SV172 )
= $true )
| ( ( ~ ! [SY538: set_Product_prod_b_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV131
!= ( insert1952693431od_b_b @ SV172 @ SY538 ) )
| ~ ~ ( member1285940496od_b_b @ SV172 @ SY538 ) )
| ( SV194
!= ( insert1952693431od_b_b @ SV70 @ SY538 ) ) )
| ~ ~ ( member1285940496od_b_b @ SV70 @ SY538 ) ) )
= $true )
| ( ( ( insert1952693431od_b_b @ SV70 @ SV131 )
= ( insert1952693431od_b_b @ SV172 @ SV194 ) )
= $false )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1716]) ).
thf(1727,plain,
! [SV194: set_Product_prod_b_b,SV131: set_Product_prod_b_b,SV172: product_prod_b_b,SV70: product_prod_b_b] :
( ( ( SV70 = SV172 )
= $false )
| ( ( SV70 = SV172 )
= $true )
| ( ( ~ ( ( ( insert1952693431od_b_b @ SV70 @ SV131 )
!= ( insert1952693431od_b_b @ SV172 @ SV194 ) )
| ~ ~ ( ~ ( ( SV70 != SV172 )
| ( SV131 = SV194 ) )
| ~ ( ~ ( ( SV70 != SV172 ) )
| ~ ! [SY538: set_Product_prod_b_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV131
!= ( insert1952693431od_b_b @ SV172 @ SY538 ) )
| ~ ~ ( member1285940496od_b_b @ SV172 @ SY538 ) )
| ( SV194
!= ( insert1952693431od_b_b @ SV70 @ SY538 ) ) )
| ~ ~ ( member1285940496od_b_b @ SV70 @ SY538 ) ) ) ) ) )
= $true )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1717]) ).
thf(1728,plain,
! [SV70: product_prod_b_b,SV194: set_Product_prod_b_b,SV241: set_Product_prod_b_b,SV172: product_prod_b_b,SV131: set_Product_prod_b_b] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV131
!= ( insert1952693431od_b_b @ SV172 @ SV241 ) )
| ~ ~ ( member1285940496od_b_b @ SV172 @ SV241 ) )
| ( SV194
!= ( insert1952693431od_b_b @ SV70 @ SV241 ) ) )
| ~ ~ ( member1285940496od_b_b @ SV70 @ SV241 ) ) )
= $true )
| ( ( SV70 = SV172 )
= $true )
| ( ( ~ ( ( ( insert1952693431od_b_b @ SV70 @ SV131 )
!= ( insert1952693431od_b_b @ SV172 @ SV194 ) )
| ~ ~ ( ~ ( ( SV70 != SV172 )
| ( SV131 = SV194 ) )
| ~ ( ~ ( ( SV70 != SV172 ) )
| ~ ! [SY538: set_Product_prod_b_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV131
!= ( insert1952693431od_b_b @ SV172 @ SY538 ) )
| ~ ~ ( member1285940496od_b_b @ SV172 @ SY538 ) )
| ( SV194
!= ( insert1952693431od_b_b @ SV70 @ SY538 ) ) )
| ~ ~ ( member1285940496od_b_b @ SV70 @ SY538 ) ) ) ) ) )
= $true )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1718]) ).
thf(1729,plain,
! [SV194: set_Product_prod_b_b,SV172: product_prod_b_b,SV131: set_Product_prod_b_b,SV70: product_prod_b_b] :
( ( ( ( ( insert1952693431od_b_b @ SV70 @ SV131 )
!= ( insert1952693431od_b_b @ SV172 @ SV194 ) )
| ~ ~ ( ~ ( ( SV70 != SV172 )
| ( SV131 = SV194 ) )
| ~ ( ~ ( ( SV70 != SV172 ) )
| ~ ! [SY538: set_Product_prod_b_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV131
!= ( insert1952693431od_b_b @ SV172 @ SY538 ) )
| ~ ~ ( member1285940496od_b_b @ SV172 @ SY538 ) )
| ( SV194
!= ( insert1952693431od_b_b @ SV70 @ SY538 ) ) )
| ~ ~ ( member1285940496od_b_b @ SV70 @ SY538 ) ) ) ) )
= $false )
| ( ( SV131 = SV194 )
= $false )
| ( ( SV70 = SV172 )
= $false )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1719]) ).
thf(1730,plain,
! [SV70: product_prod_b_b,SV194: set_Product_prod_b_b,SV240: set_Product_prod_b_b,SV172: product_prod_b_b,SV131: set_Product_prod_b_b] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ( SV131
!= ( insert1952693431od_b_b @ SV172 @ SV240 ) )
| ~ ~ ( member1285940496od_b_b @ SV172 @ SV240 ) )
| ( SV194
!= ( insert1952693431od_b_b @ SV70 @ SV240 ) ) )
| ~ ~ ( member1285940496od_b_b @ SV70 @ SV240 ) ) )
= $false )
| ( ( SV131 = SV194 )
= $false )
| ( ( ~ ( ( ( insert1952693431od_b_b @ SV70 @ SV131 )
!= ( insert1952693431od_b_b @ SV172 @ SV194 ) )
| ~ ~ ( ~ ( ( SV70 != SV172 )
| ( SV131 = SV194 ) )
| ~ ( ~ ( ( SV70 != SV172 ) )
| ~ ! [SY538: set_Product_prod_b_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV131
!= ( insert1952693431od_b_b @ SV172 @ SY538 ) )
| ~ ~ ( member1285940496od_b_b @ SV172 @ SY538 ) )
| ( SV194
!= ( insert1952693431od_b_b @ SV70 @ SY538 ) ) )
| ~ ~ ( member1285940496od_b_b @ SV70 @ SY538 ) ) ) ) ) )
= $true )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1720]) ).
thf(1731,plain,
! [SV114: set_b,SV187: set_Product_prod_b_b,SV232: b,SV223: b] :
( ( ( member1285940496od_b_b @ ( product_Pair_b_b @ SV223 @ SV232 ) @ SV187 )
= $true )
| ( ( member1285940496od_b_b @ ( product_Pair_b_b @ SV232 @ SV223 ) @ SV187 )
= $true )
| ( ( SV223 = SV232 )
= $true )
| ( ( member_b @ SV232 @ SV114 )
= $false )
| ( ( member_b @ SV223 @ SV114 )
= $false )
| ( ( member_b @ ( sK49_SY531 @ SV187 @ SV114 ) @ SV114 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1721]) ).
thf(1732,plain,
! [SV114: set_b,SV187: set_Product_prod_b_b,SV236: b,SV230: b] :
( ( ( SV230 != SV236 )
= $false )
| ( ( ( member1285940496od_b_b @ ( product_Pair_b_b @ SV230 @ SV236 ) @ SV187 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SV236 @ SV230 ) @ SV187 ) )
= $true )
| ( ( member_b @ SV236 @ SV114 )
= $false )
| ( ( member_b @ SV230 @ SV114 )
= $false )
| ( ( member_b @ ( sK51_SY557 @ SV187 @ SV114 ) @ SV114 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1722]) ).
thf(1733,plain,
! [SV187: set_Product_prod_b_b,SV235: b,SV114: set_b,SV239: b] :
( ( ( member_b @ SV239 @ SV114 )
= $false )
| ( ( ~ ( ( SV235 != SV239 ) )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SV235 @ SV239 ) @ SV187 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SV239 @ SV235 ) @ SV187 ) )
= $true )
| ( ( member_b @ SV235 @ SV114 )
= $false )
| ( ( ( sK49_SY531 @ SV187 @ SV114 )
= ( sK51_SY557 @ SV187 @ SV114 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1723]) ).
thf(1734,plain,
! [SV114: set_b,SV187: set_Product_prod_b_b,SV237: b,SV233: b] :
( ( ( ~ ( ( SV233 != SV237 ) ) )
= $true )
| ( ( ( member1285940496od_b_b @ ( product_Pair_b_b @ SV233 @ SV237 ) @ SV187 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SV237 @ SV233 ) @ SV187 ) )
= $true )
| ( ( member_b @ SV237 @ SV114 )
= $false )
| ( ( member_b @ SV233 @ SV114 )
= $false )
| ( ( member1285940496od_b_b @ ( product_Pair_b_b @ ( sK49_SY531 @ SV187 @ SV114 ) @ ( sK51_SY557 @ SV187 @ SV114 ) ) @ SV187 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1724]) ).
thf(1735,plain,
! [SV114: set_b,SV187: set_Product_prod_b_b,SV238: b,SV234: b] :
( ( ( ~ ( ( SV234 != SV238 ) ) )
= $true )
| ( ( ( member1285940496od_b_b @ ( product_Pair_b_b @ SV234 @ SV238 ) @ SV187 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SV238 @ SV234 ) @ SV187 ) )
= $true )
| ( ( member_b @ SV238 @ SV114 )
= $false )
| ( ( member_b @ SV234 @ SV114 )
= $false )
| ( ( member1285940496od_b_b @ ( product_Pair_b_b @ ( sK51_SY557 @ SV187 @ SV114 ) @ ( sK49_SY531 @ SV187 @ SV114 ) ) @ SV187 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1725]) ).
thf(1736,plain,
! [SV70: product_prod_b_b,SV194: set_Product_prod_b_b,SV172: product_prod_b_b,SV131: set_Product_prod_b_b] :
( ( ( ! [SY538: set_Product_prod_b_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV131
!= ( insert1952693431od_b_b @ SV172 @ SY538 ) )
| ~ ~ ( member1285940496od_b_b @ SV172 @ SY538 ) )
| ( SV194
!= ( insert1952693431od_b_b @ SV70 @ SY538 ) ) )
| ~ ~ ( member1285940496od_b_b @ SV70 @ SY538 ) ) )
= $false )
| ( ( SV70 = SV172 )
= $true )
| ( ( ( insert1952693431od_b_b @ SV70 @ SV131 )
= ( insert1952693431od_b_b @ SV172 @ SV194 ) )
= $false )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1726]) ).
thf(1737,plain,
! [SV194: set_Product_prod_b_b,SV172: product_prod_b_b,SV131: set_Product_prod_b_b,SV70: product_prod_b_b] :
( ( ( ( ( insert1952693431od_b_b @ SV70 @ SV131 )
!= ( insert1952693431od_b_b @ SV172 @ SV194 ) )
| ~ ~ ( ~ ( ( SV70 != SV172 )
| ( SV131 = SV194 ) )
| ~ ( ~ ( ( SV70 != SV172 ) )
| ~ ! [SY538: set_Product_prod_b_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV131
!= ( insert1952693431od_b_b @ SV172 @ SY538 ) )
| ~ ~ ( member1285940496od_b_b @ SV172 @ SY538 ) )
| ( SV194
!= ( insert1952693431od_b_b @ SV70 @ SY538 ) ) )
| ~ ~ ( member1285940496od_b_b @ SV70 @ SY538 ) ) ) ) )
= $false )
| ( ( SV70 = SV172 )
= $true )
| ( ( SV70 = SV172 )
= $false )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1727]) ).
thf(1738,plain,
! [SV70: product_prod_b_b,SV194: set_Product_prod_b_b,SV241: set_Product_prod_b_b,SV172: product_prod_b_b,SV131: set_Product_prod_b_b] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ( SV131
!= ( insert1952693431od_b_b @ SV172 @ SV241 ) )
| ~ ~ ( member1285940496od_b_b @ SV172 @ SV241 ) )
| ( SV194
!= ( insert1952693431od_b_b @ SV70 @ SV241 ) ) )
| ~ ~ ( member1285940496od_b_b @ SV70 @ SV241 ) ) )
= $false )
| ( ( SV70 = SV172 )
= $true )
| ( ( ~ ( ( ( insert1952693431od_b_b @ SV70 @ SV131 )
!= ( insert1952693431od_b_b @ SV172 @ SV194 ) )
| ~ ~ ( ~ ( ( SV70 != SV172 )
| ( SV131 = SV194 ) )
| ~ ( ~ ( ( SV70 != SV172 ) )
| ~ ! [SY538: set_Product_prod_b_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV131
!= ( insert1952693431od_b_b @ SV172 @ SY538 ) )
| ~ ~ ( member1285940496od_b_b @ SV172 @ SY538 ) )
| ( SV194
!= ( insert1952693431od_b_b @ SV70 @ SY538 ) ) )
| ~ ~ ( member1285940496od_b_b @ SV70 @ SY538 ) ) ) ) ) )
= $true )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1728]) ).
thf(1739,plain,
! [SV194: set_Product_prod_b_b,SV172: product_prod_b_b,SV131: set_Product_prod_b_b,SV70: product_prod_b_b] :
( ( ( ( insert1952693431od_b_b @ SV70 @ SV131 )
!= ( insert1952693431od_b_b @ SV172 @ SV194 ) )
= $false )
| ( ( SV131 = SV194 )
= $false )
| ( ( SV70 = SV172 )
= $false )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1729]) ).
thf(1740,plain,
! [SV194: set_Product_prod_b_b,SV131: set_Product_prod_b_b,SV172: product_prod_b_b,SV70: product_prod_b_b] :
( ( ( ~ ~ ( ~ ( ( SV70 != SV172 )
| ( SV131 = SV194 ) )
| ~ ( ~ ( ( SV70 != SV172 ) )
| ~ ! [SY538: set_Product_prod_b_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV131
!= ( insert1952693431od_b_b @ SV172 @ SY538 ) )
| ~ ~ ( member1285940496od_b_b @ SV172 @ SY538 ) )
| ( SV194
!= ( insert1952693431od_b_b @ SV70 @ SY538 ) ) )
| ~ ~ ( member1285940496od_b_b @ SV70 @ SY538 ) ) ) ) )
= $false )
| ( ( SV131 = SV194 )
= $false )
| ( ( SV70 = SV172 )
= $false )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1729]) ).
thf(1741,plain,
! [SV70: product_prod_b_b,SV194: set_Product_prod_b_b,SV240: set_Product_prod_b_b,SV172: product_prod_b_b,SV131: set_Product_prod_b_b] :
( ( ( ~ ~ ( ~ ~ ( ( SV131
!= ( insert1952693431od_b_b @ SV172 @ SV240 ) )
| ~ ~ ( member1285940496od_b_b @ SV172 @ SV240 ) )
| ( SV194
!= ( insert1952693431od_b_b @ SV70 @ SV240 ) ) )
| ~ ~ ( member1285940496od_b_b @ SV70 @ SV240 ) )
= $true )
| ( ( SV131 = SV194 )
= $false )
| ( ( ~ ( ( ( insert1952693431od_b_b @ SV70 @ SV131 )
!= ( insert1952693431od_b_b @ SV172 @ SV194 ) )
| ~ ~ ( ~ ( ( SV70 != SV172 )
| ( SV131 = SV194 ) )
| ~ ( ~ ( ( SV70 != SV172 ) )
| ~ ! [SY538: set_Product_prod_b_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV131
!= ( insert1952693431od_b_b @ SV172 @ SY538 ) )
| ~ ~ ( member1285940496od_b_b @ SV172 @ SY538 ) )
| ( SV194
!= ( insert1952693431od_b_b @ SV70 @ SY538 ) ) )
| ~ ~ ( member1285940496od_b_b @ SV70 @ SY538 ) ) ) ) ) )
= $true )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1730]) ).
thf(1742,plain,
! [SV114: set_b,SV187: set_Product_prod_b_b,SV236: b,SV230: b] :
( ( ( SV230 = SV236 )
= $true )
| ( ( ( member1285940496od_b_b @ ( product_Pair_b_b @ SV230 @ SV236 ) @ SV187 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SV236 @ SV230 ) @ SV187 ) )
= $true )
| ( ( member_b @ SV236 @ SV114 )
= $false )
| ( ( member_b @ SV230 @ SV114 )
= $false )
| ( ( member_b @ ( sK51_SY557 @ SV187 @ SV114 ) @ SV114 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1732]) ).
thf(1743,plain,
! [SV114: set_b,SV187: set_Product_prod_b_b,SV239: b,SV235: b] :
( ( ( ~ ( ( SV235 != SV239 ) ) )
= $true )
| ( ( ( member1285940496od_b_b @ ( product_Pair_b_b @ SV235 @ SV239 ) @ SV187 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SV239 @ SV235 ) @ SV187 ) )
= $true )
| ( ( member_b @ SV239 @ SV114 )
= $false )
| ( ( member_b @ SV235 @ SV114 )
= $false )
| ( ( ( sK49_SY531 @ SV187 @ SV114 )
= ( sK51_SY557 @ SV187 @ SV114 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1733]) ).
thf(1744,plain,
! [SV114: set_b,SV187: set_Product_prod_b_b,SV237: b,SV233: b] :
( ( ( SV233 != SV237 )
= $false )
| ( ( ( member1285940496od_b_b @ ( product_Pair_b_b @ SV233 @ SV237 ) @ SV187 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SV237 @ SV233 ) @ SV187 ) )
= $true )
| ( ( member_b @ SV237 @ SV114 )
= $false )
| ( ( member_b @ SV233 @ SV114 )
= $false )
| ( ( member1285940496od_b_b @ ( product_Pair_b_b @ ( sK49_SY531 @ SV187 @ SV114 ) @ ( sK51_SY557 @ SV187 @ SV114 ) ) @ SV187 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1734]) ).
thf(1745,plain,
! [SV114: set_b,SV187: set_Product_prod_b_b,SV238: b,SV234: b] :
( ( ( SV234 != SV238 )
= $false )
| ( ( ( member1285940496od_b_b @ ( product_Pair_b_b @ SV234 @ SV238 ) @ SV187 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SV238 @ SV234 ) @ SV187 ) )
= $true )
| ( ( member_b @ SV238 @ SV114 )
= $false )
| ( ( member_b @ SV234 @ SV114 )
= $false )
| ( ( member1285940496od_b_b @ ( product_Pair_b_b @ ( sK51_SY557 @ SV187 @ SV114 ) @ ( sK49_SY531 @ SV187 @ SV114 ) ) @ SV187 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1735]) ).
thf(1746,plain,
! [SV194: set_Product_prod_b_b,SV70: product_prod_b_b,SV172: product_prod_b_b,SV131: set_Product_prod_b_b] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV131
!= ( insert1952693431od_b_b @ SV172 @ ( sK53_SY538 @ SV70 @ SV194 @ SV172 @ SV131 ) ) )
| ~ ~ ( member1285940496od_b_b @ SV172 @ ( sK53_SY538 @ SV70 @ SV194 @ SV172 @ SV131 ) ) )
| ( SV194
!= ( insert1952693431od_b_b @ SV70 @ ( sK53_SY538 @ SV70 @ SV194 @ SV172 @ SV131 ) ) ) )
| ~ ~ ( member1285940496od_b_b @ SV70 @ ( sK53_SY538 @ SV70 @ SV194 @ SV172 @ SV131 ) ) ) )
= $false )
| ( ( SV70 = SV172 )
= $true )
| ( ( ( insert1952693431od_b_b @ SV70 @ SV131 )
= ( insert1952693431od_b_b @ SV172 @ SV194 ) )
= $false )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1736]) ).
thf(1747,plain,
! [SV194: set_Product_prod_b_b,SV172: product_prod_b_b,SV131: set_Product_prod_b_b,SV70: product_prod_b_b] :
( ( ( ( insert1952693431od_b_b @ SV70 @ SV131 )
!= ( insert1952693431od_b_b @ SV172 @ SV194 ) )
= $false )
| ( ( SV70 = SV172 )
= $true )
| ( ( SV70 = SV172 )
= $false )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1737]) ).
thf(1748,plain,
! [SV194: set_Product_prod_b_b,SV131: set_Product_prod_b_b,SV172: product_prod_b_b,SV70: product_prod_b_b] :
( ( ( ~ ~ ( ~ ( ( SV70 != SV172 )
| ( SV131 = SV194 ) )
| ~ ( ~ ( ( SV70 != SV172 ) )
| ~ ! [SY538: set_Product_prod_b_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV131
!= ( insert1952693431od_b_b @ SV172 @ SY538 ) )
| ~ ~ ( member1285940496od_b_b @ SV172 @ SY538 ) )
| ( SV194
!= ( insert1952693431od_b_b @ SV70 @ SY538 ) ) )
| ~ ~ ( member1285940496od_b_b @ SV70 @ SY538 ) ) ) ) )
= $false )
| ( ( SV70 = SV172 )
= $true )
| ( ( SV70 = SV172 )
= $false )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1737]) ).
thf(1749,plain,
! [SV70: product_prod_b_b,SV194: set_Product_prod_b_b,SV241: set_Product_prod_b_b,SV172: product_prod_b_b,SV131: set_Product_prod_b_b] :
( ( ( ~ ~ ( ~ ~ ( ( SV131
!= ( insert1952693431od_b_b @ SV172 @ SV241 ) )
| ~ ~ ( member1285940496od_b_b @ SV172 @ SV241 ) )
| ( SV194
!= ( insert1952693431od_b_b @ SV70 @ SV241 ) ) )
| ~ ~ ( member1285940496od_b_b @ SV70 @ SV241 ) )
= $true )
| ( ( SV70 = SV172 )
= $true )
| ( ( ~ ( ( ( insert1952693431od_b_b @ SV70 @ SV131 )
!= ( insert1952693431od_b_b @ SV172 @ SV194 ) )
| ~ ~ ( ~ ( ( SV70 != SV172 )
| ( SV131 = SV194 ) )
| ~ ( ~ ( ( SV70 != SV172 ) )
| ~ ! [SY538: set_Product_prod_b_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV131
!= ( insert1952693431od_b_b @ SV172 @ SY538 ) )
| ~ ~ ( member1285940496od_b_b @ SV172 @ SY538 ) )
| ( SV194
!= ( insert1952693431od_b_b @ SV70 @ SY538 ) ) )
| ~ ~ ( member1285940496od_b_b @ SV70 @ SY538 ) ) ) ) ) )
= $true )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1738]) ).
thf(1750,plain,
! [SV194: set_Product_prod_b_b,SV172: product_prod_b_b,SV131: set_Product_prod_b_b,SV70: product_prod_b_b] :
( ( ( ( insert1952693431od_b_b @ SV70 @ SV131 )
= ( insert1952693431od_b_b @ SV172 @ SV194 ) )
= $true )
| ( ( SV131 = SV194 )
= $false )
| ( ( SV70 = SV172 )
= $false )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1739]) ).
thf(1751,plain,
! [SV194: set_Product_prod_b_b,SV131: set_Product_prod_b_b,SV172: product_prod_b_b,SV70: product_prod_b_b] :
( ( ( ~ ( ~ ( ( SV70 != SV172 )
| ( SV131 = SV194 ) )
| ~ ( ~ ( ( SV70 != SV172 ) )
| ~ ! [SY538: set_Product_prod_b_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV131
!= ( insert1952693431od_b_b @ SV172 @ SY538 ) )
| ~ ~ ( member1285940496od_b_b @ SV172 @ SY538 ) )
| ( SV194
!= ( insert1952693431od_b_b @ SV70 @ SY538 ) ) )
| ~ ~ ( member1285940496od_b_b @ SV70 @ SY538 ) ) ) ) )
= $true )
| ( ( SV131 = SV194 )
= $false )
| ( ( SV70 = SV172 )
= $false )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1740]) ).
thf(1752,plain,
! [SV70: product_prod_b_b,SV194: set_Product_prod_b_b,SV240: set_Product_prod_b_b,SV172: product_prod_b_b,SV131: set_Product_prod_b_b] :
( ( ( ~ ~ ( ~ ~ ( ( SV131
!= ( insert1952693431od_b_b @ SV172 @ SV240 ) )
| ~ ~ ( member1285940496od_b_b @ SV172 @ SV240 ) )
| ( SV194
!= ( insert1952693431od_b_b @ SV70 @ SV240 ) ) ) )
= $true )
| ( ( ~ ~ ( member1285940496od_b_b @ SV70 @ SV240 ) )
= $true )
| ( ( SV131 = SV194 )
= $false )
| ( ( ~ ( ( ( insert1952693431od_b_b @ SV70 @ SV131 )
!= ( insert1952693431od_b_b @ SV172 @ SV194 ) )
| ~ ~ ( ~ ( ( SV70 != SV172 )
| ( SV131 = SV194 ) )
| ~ ( ~ ( ( SV70 != SV172 ) )
| ~ ! [SY538: set_Product_prod_b_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV131
!= ( insert1952693431od_b_b @ SV172 @ SY538 ) )
| ~ ~ ( member1285940496od_b_b @ SV172 @ SY538 ) )
| ( SV194
!= ( insert1952693431od_b_b @ SV70 @ SY538 ) ) )
| ~ ~ ( member1285940496od_b_b @ SV70 @ SY538 ) ) ) ) ) )
= $true )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1741]) ).
thf(1753,plain,
! [SV114: set_b,SV187: set_Product_prod_b_b,SV236: b,SV230: b] :
( ( ( member1285940496od_b_b @ ( product_Pair_b_b @ SV230 @ SV236 ) @ SV187 )
= $true )
| ( ( member1285940496od_b_b @ ( product_Pair_b_b @ SV236 @ SV230 ) @ SV187 )
= $true )
| ( ( SV230 = SV236 )
= $true )
| ( ( member_b @ SV236 @ SV114 )
= $false )
| ( ( member_b @ SV230 @ SV114 )
= $false )
| ( ( member_b @ ( sK51_SY557 @ SV187 @ SV114 ) @ SV114 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1742]) ).
thf(1754,plain,
! [SV114: set_b,SV187: set_Product_prod_b_b,SV239: b,SV235: b] :
( ( ( SV235 != SV239 )
= $false )
| ( ( ( member1285940496od_b_b @ ( product_Pair_b_b @ SV235 @ SV239 ) @ SV187 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SV239 @ SV235 ) @ SV187 ) )
= $true )
| ( ( member_b @ SV239 @ SV114 )
= $false )
| ( ( member_b @ SV235 @ SV114 )
= $false )
| ( ( ( sK49_SY531 @ SV187 @ SV114 )
= ( sK51_SY557 @ SV187 @ SV114 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1743]) ).
thf(1755,plain,
! [SV114: set_b,SV187: set_Product_prod_b_b,SV237: b,SV233: b] :
( ( ( SV233 = SV237 )
= $true )
| ( ( ( member1285940496od_b_b @ ( product_Pair_b_b @ SV233 @ SV237 ) @ SV187 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SV237 @ SV233 ) @ SV187 ) )
= $true )
| ( ( member_b @ SV237 @ SV114 )
= $false )
| ( ( member_b @ SV233 @ SV114 )
= $false )
| ( ( member1285940496od_b_b @ ( product_Pair_b_b @ ( sK49_SY531 @ SV187 @ SV114 ) @ ( sK51_SY557 @ SV187 @ SV114 ) ) @ SV187 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1744]) ).
thf(1756,plain,
! [SV114: set_b,SV187: set_Product_prod_b_b,SV238: b,SV234: b] :
( ( ( SV234 = SV238 )
= $true )
| ( ( ( member1285940496od_b_b @ ( product_Pair_b_b @ SV234 @ SV238 ) @ SV187 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SV238 @ SV234 ) @ SV187 ) )
= $true )
| ( ( member_b @ SV238 @ SV114 )
= $false )
| ( ( member_b @ SV234 @ SV114 )
= $false )
| ( ( member1285940496od_b_b @ ( product_Pair_b_b @ ( sK51_SY557 @ SV187 @ SV114 ) @ ( sK49_SY531 @ SV187 @ SV114 ) ) @ SV187 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1745]) ).
thf(1757,plain,
! [SV194: set_Product_prod_b_b,SV70: product_prod_b_b,SV172: product_prod_b_b,SV131: set_Product_prod_b_b] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ( SV131
!= ( insert1952693431od_b_b @ SV172 @ ( sK53_SY538 @ SV70 @ SV194 @ SV172 @ SV131 ) ) )
| ~ ~ ( member1285940496od_b_b @ SV172 @ ( sK53_SY538 @ SV70 @ SV194 @ SV172 @ SV131 ) ) )
| ( SV194
!= ( insert1952693431od_b_b @ SV70 @ ( sK53_SY538 @ SV70 @ SV194 @ SV172 @ SV131 ) ) ) )
| ~ ~ ( member1285940496od_b_b @ SV70 @ ( sK53_SY538 @ SV70 @ SV194 @ SV172 @ SV131 ) ) ) )
= $true )
| ( ( SV70 = SV172 )
= $true )
| ( ( ( insert1952693431od_b_b @ SV70 @ SV131 )
= ( insert1952693431od_b_b @ SV172 @ SV194 ) )
= $false )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1746]) ).
thf(1758,plain,
! [SV194: set_Product_prod_b_b,SV172: product_prod_b_b,SV131: set_Product_prod_b_b,SV70: product_prod_b_b] :
( ( ( ( insert1952693431od_b_b @ SV70 @ SV131 )
= ( insert1952693431od_b_b @ SV172 @ SV194 ) )
= $true )
| ( ( SV70 = SV172 )
= $true )
| ( ( SV70 = SV172 )
= $false )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1747]) ).
thf(1759,plain,
! [SV194: set_Product_prod_b_b,SV131: set_Product_prod_b_b,SV172: product_prod_b_b,SV70: product_prod_b_b] :
( ( ( ~ ( ~ ( ( SV70 != SV172 )
| ( SV131 = SV194 ) )
| ~ ( ~ ( ( SV70 != SV172 ) )
| ~ ! [SY538: set_Product_prod_b_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV131
!= ( insert1952693431od_b_b @ SV172 @ SY538 ) )
| ~ ~ ( member1285940496od_b_b @ SV172 @ SY538 ) )
| ( SV194
!= ( insert1952693431od_b_b @ SV70 @ SY538 ) ) )
| ~ ~ ( member1285940496od_b_b @ SV70 @ SY538 ) ) ) ) )
= $true )
| ( ( SV70 = SV172 )
= $true )
| ( ( SV70 = SV172 )
= $false )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1748]) ).
thf(1760,plain,
! [SV70: product_prod_b_b,SV194: set_Product_prod_b_b,SV241: set_Product_prod_b_b,SV172: product_prod_b_b,SV131: set_Product_prod_b_b] :
( ( ( ~ ~ ( ~ ~ ( ( SV131
!= ( insert1952693431od_b_b @ SV172 @ SV241 ) )
| ~ ~ ( member1285940496od_b_b @ SV172 @ SV241 ) )
| ( SV194
!= ( insert1952693431od_b_b @ SV70 @ SV241 ) ) ) )
= $true )
| ( ( ~ ~ ( member1285940496od_b_b @ SV70 @ SV241 ) )
= $true )
| ( ( SV70 = SV172 )
= $true )
| ( ( ~ ( ( ( insert1952693431od_b_b @ SV70 @ SV131 )
!= ( insert1952693431od_b_b @ SV172 @ SV194 ) )
| ~ ~ ( ~ ( ( SV70 != SV172 )
| ( SV131 = SV194 ) )
| ~ ( ~ ( ( SV70 != SV172 ) )
| ~ ! [SY538: set_Product_prod_b_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV131
!= ( insert1952693431od_b_b @ SV172 @ SY538 ) )
| ~ ~ ( member1285940496od_b_b @ SV172 @ SY538 ) )
| ( SV194
!= ( insert1952693431od_b_b @ SV70 @ SY538 ) ) )
| ~ ~ ( member1285940496od_b_b @ SV70 @ SY538 ) ) ) ) ) )
= $true )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1749]) ).
thf(1761,plain,
! [SV194: set_Product_prod_b_b,SV131: set_Product_prod_b_b,SV172: product_prod_b_b,SV70: product_prod_b_b] :
( ( ( ~ ( ( SV70 != SV172 )
| ( SV131 = SV194 ) )
| ~ ( ~ ( ( SV70 != SV172 ) )
| ~ ! [SY538: set_Product_prod_b_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV131
!= ( insert1952693431od_b_b @ SV172 @ SY538 ) )
| ~ ~ ( member1285940496od_b_b @ SV172 @ SY538 ) )
| ( SV194
!= ( insert1952693431od_b_b @ SV70 @ SY538 ) ) )
| ~ ~ ( member1285940496od_b_b @ SV70 @ SY538 ) ) ) )
= $false )
| ( ( SV131 = SV194 )
= $false )
| ( ( SV70 = SV172 )
= $false )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1751]) ).
thf(1762,plain,
! [SV70: product_prod_b_b,SV194: set_Product_prod_b_b,SV240: set_Product_prod_b_b,SV172: product_prod_b_b,SV131: set_Product_prod_b_b] :
( ( ( ~ ( ~ ~ ( ( SV131
!= ( insert1952693431od_b_b @ SV172 @ SV240 ) )
| ~ ~ ( member1285940496od_b_b @ SV172 @ SV240 ) )
| ( SV194
!= ( insert1952693431od_b_b @ SV70 @ SV240 ) ) ) )
= $false )
| ( ( ~ ~ ( member1285940496od_b_b @ SV70 @ SV240 ) )
= $true )
| ( ( SV131 = SV194 )
= $false )
| ( ( ~ ( ( ( insert1952693431od_b_b @ SV70 @ SV131 )
!= ( insert1952693431od_b_b @ SV172 @ SV194 ) )
| ~ ~ ( ~ ( ( SV70 != SV172 )
| ( SV131 = SV194 ) )
| ~ ( ~ ( ( SV70 != SV172 ) )
| ~ ! [SY538: set_Product_prod_b_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV131
!= ( insert1952693431od_b_b @ SV172 @ SY538 ) )
| ~ ~ ( member1285940496od_b_b @ SV172 @ SY538 ) )
| ( SV194
!= ( insert1952693431od_b_b @ SV70 @ SY538 ) ) )
| ~ ~ ( member1285940496od_b_b @ SV70 @ SY538 ) ) ) ) ) )
= $true )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1752]) ).
thf(1763,plain,
! [SV114: set_b,SV187: set_Product_prod_b_b,SV239: b,SV235: b] :
( ( ( SV235 = SV239 )
= $true )
| ( ( ( member1285940496od_b_b @ ( product_Pair_b_b @ SV235 @ SV239 ) @ SV187 )
| ( member1285940496od_b_b @ ( product_Pair_b_b @ SV239 @ SV235 ) @ SV187 ) )
= $true )
| ( ( member_b @ SV239 @ SV114 )
= $false )
| ( ( member_b @ SV235 @ SV114 )
= $false )
| ( ( ( sK49_SY531 @ SV187 @ SV114 )
= ( sK51_SY557 @ SV187 @ SV114 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1754]) ).
thf(1764,plain,
! [SV114: set_b,SV187: set_Product_prod_b_b,SV237: b,SV233: b] :
( ( ( member1285940496od_b_b @ ( product_Pair_b_b @ SV233 @ SV237 ) @ SV187 )
= $true )
| ( ( member1285940496od_b_b @ ( product_Pair_b_b @ SV237 @ SV233 ) @ SV187 )
= $true )
| ( ( SV233 = SV237 )
= $true )
| ( ( member_b @ SV237 @ SV114 )
= $false )
| ( ( member_b @ SV233 @ SV114 )
= $false )
| ( ( member1285940496od_b_b @ ( product_Pair_b_b @ ( sK49_SY531 @ SV187 @ SV114 ) @ ( sK51_SY557 @ SV187 @ SV114 ) ) @ SV187 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1755]) ).
thf(1765,plain,
! [SV114: set_b,SV187: set_Product_prod_b_b,SV238: b,SV234: b] :
( ( ( member1285940496od_b_b @ ( product_Pair_b_b @ SV234 @ SV238 ) @ SV187 )
= $true )
| ( ( member1285940496od_b_b @ ( product_Pair_b_b @ SV238 @ SV234 ) @ SV187 )
= $true )
| ( ( SV234 = SV238 )
= $true )
| ( ( member_b @ SV238 @ SV114 )
= $false )
| ( ( member_b @ SV234 @ SV114 )
= $false )
| ( ( member1285940496od_b_b @ ( product_Pair_b_b @ ( sK51_SY557 @ SV187 @ SV114 ) @ ( sK49_SY531 @ SV187 @ SV114 ) ) @ SV187 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1756]) ).
thf(1766,plain,
! [SV194: set_Product_prod_b_b,SV70: product_prod_b_b,SV172: product_prod_b_b,SV131: set_Product_prod_b_b] :
( ( ( ~ ~ ( ~ ~ ( ( SV131
!= ( insert1952693431od_b_b @ SV172 @ ( sK53_SY538 @ SV70 @ SV194 @ SV172 @ SV131 ) ) )
| ~ ~ ( member1285940496od_b_b @ SV172 @ ( sK53_SY538 @ SV70 @ SV194 @ SV172 @ SV131 ) ) )
| ( SV194
!= ( insert1952693431od_b_b @ SV70 @ ( sK53_SY538 @ SV70 @ SV194 @ SV172 @ SV131 ) ) ) )
| ~ ~ ( member1285940496od_b_b @ SV70 @ ( sK53_SY538 @ SV70 @ SV194 @ SV172 @ SV131 ) ) )
= $false )
| ( ( SV70 = SV172 )
= $true )
| ( ( ( insert1952693431od_b_b @ SV70 @ SV131 )
= ( insert1952693431od_b_b @ SV172 @ SV194 ) )
= $false )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1757]) ).
thf(1767,plain,
! [SV194: set_Product_prod_b_b,SV131: set_Product_prod_b_b,SV172: product_prod_b_b,SV70: product_prod_b_b] :
( ( ( ~ ( ( SV70 != SV172 )
| ( SV131 = SV194 ) )
| ~ ( ~ ( ( SV70 != SV172 ) )
| ~ ! [SY538: set_Product_prod_b_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV131
!= ( insert1952693431od_b_b @ SV172 @ SY538 ) )
| ~ ~ ( member1285940496od_b_b @ SV172 @ SY538 ) )
| ( SV194
!= ( insert1952693431od_b_b @ SV70 @ SY538 ) ) )
| ~ ~ ( member1285940496od_b_b @ SV70 @ SY538 ) ) ) )
= $false )
| ( ( SV70 = SV172 )
= $true )
| ( ( SV70 = SV172 )
= $false )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1759]) ).
thf(1768,plain,
! [SV70: product_prod_b_b,SV194: set_Product_prod_b_b,SV241: set_Product_prod_b_b,SV172: product_prod_b_b,SV131: set_Product_prod_b_b] :
( ( ( ~ ( ~ ~ ( ( SV131
!= ( insert1952693431od_b_b @ SV172 @ SV241 ) )
| ~ ~ ( member1285940496od_b_b @ SV172 @ SV241 ) )
| ( SV194
!= ( insert1952693431od_b_b @ SV70 @ SV241 ) ) ) )
= $false )
| ( ( ~ ~ ( member1285940496od_b_b @ SV70 @ SV241 ) )
= $true )
| ( ( SV70 = SV172 )
= $true )
| ( ( ~ ( ( ( insert1952693431od_b_b @ SV70 @ SV131 )
!= ( insert1952693431od_b_b @ SV172 @ SV194 ) )
| ~ ~ ( ~ ( ( SV70 != SV172 )
| ( SV131 = SV194 ) )
| ~ ( ~ ( ( SV70 != SV172 ) )
| ~ ! [SY538: set_Product_prod_b_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV131
!= ( insert1952693431od_b_b @ SV172 @ SY538 ) )
| ~ ~ ( member1285940496od_b_b @ SV172 @ SY538 ) )
| ( SV194
!= ( insert1952693431od_b_b @ SV70 @ SY538 ) ) )
| ~ ~ ( member1285940496od_b_b @ SV70 @ SY538 ) ) ) ) ) )
= $true )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1760]) ).
thf(1769,plain,
! [SV194: set_Product_prod_b_b,SV131: set_Product_prod_b_b,SV172: product_prod_b_b,SV70: product_prod_b_b] :
( ( ( ~ ( ( SV70 != SV172 )
| ( SV131 = SV194 ) ) )
= $false )
| ( ( SV131 = SV194 )
= $false )
| ( ( SV70 = SV172 )
= $false )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1761]) ).
thf(1770,plain,
! [SV194: set_Product_prod_b_b,SV131: set_Product_prod_b_b,SV172: product_prod_b_b,SV70: product_prod_b_b] :
( ( ( ~ ( ~ ( ( SV70 != SV172 ) )
| ~ ! [SY538: set_Product_prod_b_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV131
!= ( insert1952693431od_b_b @ SV172 @ SY538 ) )
| ~ ~ ( member1285940496od_b_b @ SV172 @ SY538 ) )
| ( SV194
!= ( insert1952693431od_b_b @ SV70 @ SY538 ) ) )
| ~ ~ ( member1285940496od_b_b @ SV70 @ SY538 ) ) ) )
= $false )
| ( ( SV131 = SV194 )
= $false )
| ( ( SV70 = SV172 )
= $false )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1761]) ).
thf(1771,plain,
! [SV70: product_prod_b_b,SV194: set_Product_prod_b_b,SV240: set_Product_prod_b_b,SV172: product_prod_b_b,SV131: set_Product_prod_b_b] :
( ( ( ~ ~ ( ( SV131
!= ( insert1952693431od_b_b @ SV172 @ SV240 ) )
| ~ ~ ( member1285940496od_b_b @ SV172 @ SV240 ) )
| ( SV194
!= ( insert1952693431od_b_b @ SV70 @ SV240 ) ) )
= $true )
| ( ( ~ ~ ( member1285940496od_b_b @ SV70 @ SV240 ) )
= $true )
| ( ( SV131 = SV194 )
= $false )
| ( ( ~ ( ( ( insert1952693431od_b_b @ SV70 @ SV131 )
!= ( insert1952693431od_b_b @ SV172 @ SV194 ) )
| ~ ~ ( ~ ( ( SV70 != SV172 )
| ( SV131 = SV194 ) )
| ~ ( ~ ( ( SV70 != SV172 ) )
| ~ ! [SY538: set_Product_prod_b_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV131
!= ( insert1952693431od_b_b @ SV172 @ SY538 ) )
| ~ ~ ( member1285940496od_b_b @ SV172 @ SY538 ) )
| ( SV194
!= ( insert1952693431od_b_b @ SV70 @ SY538 ) ) )
| ~ ~ ( member1285940496od_b_b @ SV70 @ SY538 ) ) ) ) ) )
= $true )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1762]) ).
thf(1772,plain,
! [SV114: set_b,SV187: set_Product_prod_b_b,SV239: b,SV235: b] :
( ( ( member1285940496od_b_b @ ( product_Pair_b_b @ SV235 @ SV239 ) @ SV187 )
= $true )
| ( ( member1285940496od_b_b @ ( product_Pair_b_b @ SV239 @ SV235 ) @ SV187 )
= $true )
| ( ( SV235 = SV239 )
= $true )
| ( ( member_b @ SV239 @ SV114 )
= $false )
| ( ( member_b @ SV235 @ SV114 )
= $false )
| ( ( ( sK49_SY531 @ SV187 @ SV114 )
= ( sK51_SY557 @ SV187 @ SV114 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1763]) ).
thf(1773,plain,
! [SV194: set_Product_prod_b_b,SV70: product_prod_b_b,SV172: product_prod_b_b,SV131: set_Product_prod_b_b] :
( ( ( ~ ~ ( ~ ~ ( ( SV131
!= ( insert1952693431od_b_b @ SV172 @ ( sK53_SY538 @ SV70 @ SV194 @ SV172 @ SV131 ) ) )
| ~ ~ ( member1285940496od_b_b @ SV172 @ ( sK53_SY538 @ SV70 @ SV194 @ SV172 @ SV131 ) ) )
| ( SV194
!= ( insert1952693431od_b_b @ SV70 @ ( sK53_SY538 @ SV70 @ SV194 @ SV172 @ SV131 ) ) ) ) )
= $false )
| ( ( SV70 = SV172 )
= $true )
| ( ( ( insert1952693431od_b_b @ SV70 @ SV131 )
= ( insert1952693431od_b_b @ SV172 @ SV194 ) )
= $false )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1766]) ).
thf(1774,plain,
! [SV131: set_Product_prod_b_b,SV172: product_prod_b_b,SV194: set_Product_prod_b_b,SV70: product_prod_b_b] :
( ( ( ~ ~ ( member1285940496od_b_b @ SV70 @ ( sK53_SY538 @ SV70 @ SV194 @ SV172 @ SV131 ) ) )
= $false )
| ( ( SV70 = SV172 )
= $true )
| ( ( ( insert1952693431od_b_b @ SV70 @ SV131 )
= ( insert1952693431od_b_b @ SV172 @ SV194 ) )
= $false )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1766]) ).
thf(1775,plain,
! [SV194: set_Product_prod_b_b,SV131: set_Product_prod_b_b,SV172: product_prod_b_b,SV70: product_prod_b_b] :
( ( ( ~ ( ( SV70 != SV172 )
| ( SV131 = SV194 ) ) )
= $false )
| ( ( SV70 = SV172 )
= $true )
| ( ( SV70 = SV172 )
= $false )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1767]) ).
thf(1776,plain,
! [SV194: set_Product_prod_b_b,SV131: set_Product_prod_b_b,SV172: product_prod_b_b,SV70: product_prod_b_b] :
( ( ( ~ ( ~ ( ( SV70 != SV172 ) )
| ~ ! [SY538: set_Product_prod_b_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV131
!= ( insert1952693431od_b_b @ SV172 @ SY538 ) )
| ~ ~ ( member1285940496od_b_b @ SV172 @ SY538 ) )
| ( SV194
!= ( insert1952693431od_b_b @ SV70 @ SY538 ) ) )
| ~ ~ ( member1285940496od_b_b @ SV70 @ SY538 ) ) ) )
= $false )
| ( ( SV70 = SV172 )
= $true )
| ( ( SV70 = SV172 )
= $false )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1767]) ).
thf(1777,plain,
! [SV70: product_prod_b_b,SV194: set_Product_prod_b_b,SV241: set_Product_prod_b_b,SV172: product_prod_b_b,SV131: set_Product_prod_b_b] :
( ( ( ~ ~ ( ( SV131
!= ( insert1952693431od_b_b @ SV172 @ SV241 ) )
| ~ ~ ( member1285940496od_b_b @ SV172 @ SV241 ) )
| ( SV194
!= ( insert1952693431od_b_b @ SV70 @ SV241 ) ) )
= $true )
| ( ( ~ ~ ( member1285940496od_b_b @ SV70 @ SV241 ) )
= $true )
| ( ( SV70 = SV172 )
= $true )
| ( ( ~ ( ( ( insert1952693431od_b_b @ SV70 @ SV131 )
!= ( insert1952693431od_b_b @ SV172 @ SV194 ) )
| ~ ~ ( ~ ( ( SV70 != SV172 )
| ( SV131 = SV194 ) )
| ~ ( ~ ( ( SV70 != SV172 ) )
| ~ ! [SY538: set_Product_prod_b_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV131
!= ( insert1952693431od_b_b @ SV172 @ SY538 ) )
| ~ ~ ( member1285940496od_b_b @ SV172 @ SY538 ) )
| ( SV194
!= ( insert1952693431od_b_b @ SV70 @ SY538 ) ) )
| ~ ~ ( member1285940496od_b_b @ SV70 @ SY538 ) ) ) ) ) )
= $true )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1768]) ).
thf(1778,plain,
! [SV194: set_Product_prod_b_b,SV131: set_Product_prod_b_b,SV172: product_prod_b_b,SV70: product_prod_b_b] :
( ( ( ( SV70 != SV172 )
| ( SV131 = SV194 ) )
= $true )
| ( ( SV131 = SV194 )
= $false )
| ( ( SV70 = SV172 )
= $false )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1769]) ).
thf(1779,plain,
! [SV194: set_Product_prod_b_b,SV131: set_Product_prod_b_b,SV172: product_prod_b_b,SV70: product_prod_b_b] :
( ( ( ~ ( ( SV70 != SV172 ) )
| ~ ! [SY538: set_Product_prod_b_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV131
!= ( insert1952693431od_b_b @ SV172 @ SY538 ) )
| ~ ~ ( member1285940496od_b_b @ SV172 @ SY538 ) )
| ( SV194
!= ( insert1952693431od_b_b @ SV70 @ SY538 ) ) )
| ~ ~ ( member1285940496od_b_b @ SV70 @ SY538 ) ) )
= $true )
| ( ( SV131 = SV194 )
= $false )
| ( ( SV70 = SV172 )
= $false )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1770]) ).
thf(1780,plain,
! [SV70: product_prod_b_b,SV194: set_Product_prod_b_b,SV240: set_Product_prod_b_b,SV172: product_prod_b_b,SV131: set_Product_prod_b_b] :
( ( ( ~ ~ ( ( SV131
!= ( insert1952693431od_b_b @ SV172 @ SV240 ) )
| ~ ~ ( member1285940496od_b_b @ SV172 @ SV240 ) ) )
= $true )
| ( ( SV194
!= ( insert1952693431od_b_b @ SV70 @ SV240 ) )
= $true )
| ( ( ~ ~ ( member1285940496od_b_b @ SV70 @ SV240 ) )
= $true )
| ( ( SV131 = SV194 )
= $false )
| ( ( ~ ( ( ( insert1952693431od_b_b @ SV70 @ SV131 )
!= ( insert1952693431od_b_b @ SV172 @ SV194 ) )
| ~ ~ ( ~ ( ( SV70 != SV172 )
| ( SV131 = SV194 ) )
| ~ ( ~ ( ( SV70 != SV172 ) )
| ~ ! [SY538: set_Product_prod_b_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV131
!= ( insert1952693431od_b_b @ SV172 @ SY538 ) )
| ~ ~ ( member1285940496od_b_b @ SV172 @ SY538 ) )
| ( SV194
!= ( insert1952693431od_b_b @ SV70 @ SY538 ) ) )
| ~ ~ ( member1285940496od_b_b @ SV70 @ SY538 ) ) ) ) ) )
= $true )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1771]) ).
thf(1781,plain,
! [SV194: set_Product_prod_b_b,SV70: product_prod_b_b,SV172: product_prod_b_b,SV131: set_Product_prod_b_b] :
( ( ( ~ ( ~ ~ ( ( SV131
!= ( insert1952693431od_b_b @ SV172 @ ( sK53_SY538 @ SV70 @ SV194 @ SV172 @ SV131 ) ) )
| ~ ~ ( member1285940496od_b_b @ SV172 @ ( sK53_SY538 @ SV70 @ SV194 @ SV172 @ SV131 ) ) )
| ( SV194
!= ( insert1952693431od_b_b @ SV70 @ ( sK53_SY538 @ SV70 @ SV194 @ SV172 @ SV131 ) ) ) ) )
= $true )
| ( ( SV70 = SV172 )
= $true )
| ( ( ( insert1952693431od_b_b @ SV70 @ SV131 )
= ( insert1952693431od_b_b @ SV172 @ SV194 ) )
= $false )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1773]) ).
thf(1782,plain,
! [SV131: set_Product_prod_b_b,SV172: product_prod_b_b,SV194: set_Product_prod_b_b,SV70: product_prod_b_b] :
( ( ( ~ ( member1285940496od_b_b @ SV70 @ ( sK53_SY538 @ SV70 @ SV194 @ SV172 @ SV131 ) ) )
= $true )
| ( ( SV70 = SV172 )
= $true )
| ( ( ( insert1952693431od_b_b @ SV70 @ SV131 )
= ( insert1952693431od_b_b @ SV172 @ SV194 ) )
= $false )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1774]) ).
thf(1783,plain,
! [SV194: set_Product_prod_b_b,SV131: set_Product_prod_b_b,SV172: product_prod_b_b,SV70: product_prod_b_b] :
( ( ( ( SV70 != SV172 )
| ( SV131 = SV194 ) )
= $true )
| ( ( SV70 = SV172 )
= $true )
| ( ( SV70 = SV172 )
= $false )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1775]) ).
thf(1784,plain,
! [SV194: set_Product_prod_b_b,SV131: set_Product_prod_b_b,SV172: product_prod_b_b,SV70: product_prod_b_b] :
( ( ( ~ ( ( SV70 != SV172 ) )
| ~ ! [SY538: set_Product_prod_b_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV131
!= ( insert1952693431od_b_b @ SV172 @ SY538 ) )
| ~ ~ ( member1285940496od_b_b @ SV172 @ SY538 ) )
| ( SV194
!= ( insert1952693431od_b_b @ SV70 @ SY538 ) ) )
| ~ ~ ( member1285940496od_b_b @ SV70 @ SY538 ) ) )
= $true )
| ( ( SV70 = SV172 )
= $true )
| ( ( SV70 = SV172 )
= $false )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1776]) ).
thf(1785,plain,
! [SV70: product_prod_b_b,SV194: set_Product_prod_b_b,SV241: set_Product_prod_b_b,SV172: product_prod_b_b,SV131: set_Product_prod_b_b] :
( ( ( ~ ~ ( ( SV131
!= ( insert1952693431od_b_b @ SV172 @ SV241 ) )
| ~ ~ ( member1285940496od_b_b @ SV172 @ SV241 ) ) )
= $true )
| ( ( SV194
!= ( insert1952693431od_b_b @ SV70 @ SV241 ) )
= $true )
| ( ( ~ ~ ( member1285940496od_b_b @ SV70 @ SV241 ) )
= $true )
| ( ( SV70 = SV172 )
= $true )
| ( ( ~ ( ( ( insert1952693431od_b_b @ SV70 @ SV131 )
!= ( insert1952693431od_b_b @ SV172 @ SV194 ) )
| ~ ~ ( ~ ( ( SV70 != SV172 )
| ( SV131 = SV194 ) )
| ~ ( ~ ( ( SV70 != SV172 ) )
| ~ ! [SY538: set_Product_prod_b_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV131
!= ( insert1952693431od_b_b @ SV172 @ SY538 ) )
| ~ ~ ( member1285940496od_b_b @ SV172 @ SY538 ) )
| ( SV194
!= ( insert1952693431od_b_b @ SV70 @ SY538 ) ) )
| ~ ~ ( member1285940496od_b_b @ SV70 @ SY538 ) ) ) ) ) )
= $true )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1777]) ).
thf(1786,plain,
! [SV194: set_Product_prod_b_b,SV131: set_Product_prod_b_b,SV172: product_prod_b_b,SV70: product_prod_b_b] :
( ( ( SV70 != SV172 )
= $true )
| ( ( SV131 = SV194 )
= $true )
| ( ( SV131 = SV194 )
= $false )
| ( ( SV70 = SV172 )
= $false )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1778]) ).
thf(1787,plain,
! [SV194: set_Product_prod_b_b,SV131: set_Product_prod_b_b,SV172: product_prod_b_b,SV70: product_prod_b_b] :
( ( ( ~ ( ( SV70 != SV172 ) ) )
= $true )
| ( ( ~ ! [SY538: set_Product_prod_b_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV131
!= ( insert1952693431od_b_b @ SV172 @ SY538 ) )
| ~ ~ ( member1285940496od_b_b @ SV172 @ SY538 ) )
| ( SV194
!= ( insert1952693431od_b_b @ SV70 @ SY538 ) ) )
| ~ ~ ( member1285940496od_b_b @ SV70 @ SY538 ) ) )
= $true )
| ( ( SV131 = SV194 )
= $false )
| ( ( SV70 = SV172 )
= $false )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1779]) ).
thf(1788,plain,
! [SV70: product_prod_b_b,SV194: set_Product_prod_b_b,SV240: set_Product_prod_b_b,SV172: product_prod_b_b,SV131: set_Product_prod_b_b] :
( ( ( ~ ( ( SV131
!= ( insert1952693431od_b_b @ SV172 @ SV240 ) )
| ~ ~ ( member1285940496od_b_b @ SV172 @ SV240 ) ) )
= $false )
| ( ( SV194
!= ( insert1952693431od_b_b @ SV70 @ SV240 ) )
= $true )
| ( ( ~ ~ ( member1285940496od_b_b @ SV70 @ SV240 ) )
= $true )
| ( ( SV131 = SV194 )
= $false )
| ( ( ~ ( ( ( insert1952693431od_b_b @ SV70 @ SV131 )
!= ( insert1952693431od_b_b @ SV172 @ SV194 ) )
| ~ ~ ( ~ ( ( SV70 != SV172 )
| ( SV131 = SV194 ) )
| ~ ( ~ ( ( SV70 != SV172 ) )
| ~ ! [SY538: set_Product_prod_b_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV131
!= ( insert1952693431od_b_b @ SV172 @ SY538 ) )
| ~ ~ ( member1285940496od_b_b @ SV172 @ SY538 ) )
| ( SV194
!= ( insert1952693431od_b_b @ SV70 @ SY538 ) ) )
| ~ ~ ( member1285940496od_b_b @ SV70 @ SY538 ) ) ) ) ) )
= $true )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1780]) ).
thf(1789,plain,
! [SV194: set_Product_prod_b_b,SV70: product_prod_b_b,SV172: product_prod_b_b,SV131: set_Product_prod_b_b] :
( ( ( ~ ~ ( ( SV131
!= ( insert1952693431od_b_b @ SV172 @ ( sK53_SY538 @ SV70 @ SV194 @ SV172 @ SV131 ) ) )
| ~ ~ ( member1285940496od_b_b @ SV172 @ ( sK53_SY538 @ SV70 @ SV194 @ SV172 @ SV131 ) ) )
| ( SV194
!= ( insert1952693431od_b_b @ SV70 @ ( sK53_SY538 @ SV70 @ SV194 @ SV172 @ SV131 ) ) ) )
= $false )
| ( ( SV70 = SV172 )
= $true )
| ( ( ( insert1952693431od_b_b @ SV70 @ SV131 )
= ( insert1952693431od_b_b @ SV172 @ SV194 ) )
= $false )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1781]) ).
thf(1790,plain,
! [SV131: set_Product_prod_b_b,SV172: product_prod_b_b,SV194: set_Product_prod_b_b,SV70: product_prod_b_b] :
( ( ( member1285940496od_b_b @ SV70 @ ( sK53_SY538 @ SV70 @ SV194 @ SV172 @ SV131 ) )
= $false )
| ( ( SV70 = SV172 )
= $true )
| ( ( ( insert1952693431od_b_b @ SV70 @ SV131 )
= ( insert1952693431od_b_b @ SV172 @ SV194 ) )
= $false )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1782]) ).
thf(1791,plain,
! [SV194: set_Product_prod_b_b,SV131: set_Product_prod_b_b,SV172: product_prod_b_b,SV70: product_prod_b_b] :
( ( ( SV70 != SV172 )
= $true )
| ( ( SV131 = SV194 )
= $true )
| ( ( SV70 = SV172 )
= $true )
| ( ( SV70 = SV172 )
= $false )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1783]) ).
thf(1792,plain,
! [SV194: set_Product_prod_b_b,SV131: set_Product_prod_b_b,SV172: product_prod_b_b,SV70: product_prod_b_b] :
( ( ( ~ ( ( SV70 != SV172 ) ) )
= $true )
| ( ( ~ ! [SY538: set_Product_prod_b_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV131
!= ( insert1952693431od_b_b @ SV172 @ SY538 ) )
| ~ ~ ( member1285940496od_b_b @ SV172 @ SY538 ) )
| ( SV194
!= ( insert1952693431od_b_b @ SV70 @ SY538 ) ) )
| ~ ~ ( member1285940496od_b_b @ SV70 @ SY538 ) ) )
= $true )
| ( ( SV70 = SV172 )
= $true )
| ( ( SV70 = SV172 )
= $false )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1784]) ).
thf(1793,plain,
! [SV70: product_prod_b_b,SV194: set_Product_prod_b_b,SV241: set_Product_prod_b_b,SV172: product_prod_b_b,SV131: set_Product_prod_b_b] :
( ( ( ~ ( ( SV131
!= ( insert1952693431od_b_b @ SV172 @ SV241 ) )
| ~ ~ ( member1285940496od_b_b @ SV172 @ SV241 ) ) )
= $false )
| ( ( SV194
!= ( insert1952693431od_b_b @ SV70 @ SV241 ) )
= $true )
| ( ( ~ ~ ( member1285940496od_b_b @ SV70 @ SV241 ) )
= $true )
| ( ( SV70 = SV172 )
= $true )
| ( ( ~ ( ( ( insert1952693431od_b_b @ SV70 @ SV131 )
!= ( insert1952693431od_b_b @ SV172 @ SV194 ) )
| ~ ~ ( ~ ( ( SV70 != SV172 )
| ( SV131 = SV194 ) )
| ~ ( ~ ( ( SV70 != SV172 ) )
| ~ ! [SY538: set_Product_prod_b_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV131
!= ( insert1952693431od_b_b @ SV172 @ SY538 ) )
| ~ ~ ( member1285940496od_b_b @ SV172 @ SY538 ) )
| ( SV194
!= ( insert1952693431od_b_b @ SV70 @ SY538 ) ) )
| ~ ~ ( member1285940496od_b_b @ SV70 @ SY538 ) ) ) ) ) )
= $true )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1785]) ).
thf(1794,plain,
! [SV194: set_Product_prod_b_b,SV131: set_Product_prod_b_b,SV172: product_prod_b_b,SV70: product_prod_b_b] :
( ( ( SV70 = SV172 )
= $false )
| ( ( SV131 = SV194 )
= $true )
| ( ( SV131 = SV194 )
= $false )
| ( ( SV70 = SV172 )
= $false )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1786]) ).
thf(1795,plain,
! [SV194: set_Product_prod_b_b,SV131: set_Product_prod_b_b,SV172: product_prod_b_b,SV70: product_prod_b_b] :
( ( ( SV70 != SV172 )
= $false )
| ( ( ~ ! [SY538: set_Product_prod_b_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV131
!= ( insert1952693431od_b_b @ SV172 @ SY538 ) )
| ~ ~ ( member1285940496od_b_b @ SV172 @ SY538 ) )
| ( SV194
!= ( insert1952693431od_b_b @ SV70 @ SY538 ) ) )
| ~ ~ ( member1285940496od_b_b @ SV70 @ SY538 ) ) )
= $true )
| ( ( SV131 = SV194 )
= $false )
| ( ( SV70 = SV172 )
= $false )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1787]) ).
thf(1796,plain,
! [SV70: product_prod_b_b,SV194: set_Product_prod_b_b,SV240: set_Product_prod_b_b,SV172: product_prod_b_b,SV131: set_Product_prod_b_b] :
( ( ( ( SV131
!= ( insert1952693431od_b_b @ SV172 @ SV240 ) )
| ~ ~ ( member1285940496od_b_b @ SV172 @ SV240 ) )
= $true )
| ( ( SV194
!= ( insert1952693431od_b_b @ SV70 @ SV240 ) )
= $true )
| ( ( ~ ~ ( member1285940496od_b_b @ SV70 @ SV240 ) )
= $true )
| ( ( SV131 = SV194 )
= $false )
| ( ( ~ ( ( ( insert1952693431od_b_b @ SV70 @ SV131 )
!= ( insert1952693431od_b_b @ SV172 @ SV194 ) )
| ~ ~ ( ~ ( ( SV70 != SV172 )
| ( SV131 = SV194 ) )
| ~ ( ~ ( ( SV70 != SV172 ) )
| ~ ! [SY538: set_Product_prod_b_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV131
!= ( insert1952693431od_b_b @ SV172 @ SY538 ) )
| ~ ~ ( member1285940496od_b_b @ SV172 @ SY538 ) )
| ( SV194
!= ( insert1952693431od_b_b @ SV70 @ SY538 ) ) )
| ~ ~ ( member1285940496od_b_b @ SV70 @ SY538 ) ) ) ) ) )
= $true )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1788]) ).
thf(1797,plain,
! [SV194: set_Product_prod_b_b,SV70: product_prod_b_b,SV172: product_prod_b_b,SV131: set_Product_prod_b_b] :
( ( ( ~ ~ ( ( SV131
!= ( insert1952693431od_b_b @ SV172 @ ( sK53_SY538 @ SV70 @ SV194 @ SV172 @ SV131 ) ) )
| ~ ~ ( member1285940496od_b_b @ SV172 @ ( sK53_SY538 @ SV70 @ SV194 @ SV172 @ SV131 ) ) ) )
= $false )
| ( ( SV70 = SV172 )
= $true )
| ( ( ( insert1952693431od_b_b @ SV70 @ SV131 )
= ( insert1952693431od_b_b @ SV172 @ SV194 ) )
= $false )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1789]) ).
thf(1798,plain,
! [SV131: set_Product_prod_b_b,SV172: product_prod_b_b,SV70: product_prod_b_b,SV194: set_Product_prod_b_b] :
( ( ( SV194
!= ( insert1952693431od_b_b @ SV70 @ ( sK53_SY538 @ SV70 @ SV194 @ SV172 @ SV131 ) ) )
= $false )
| ( ( SV70 = SV172 )
= $true )
| ( ( ( insert1952693431od_b_b @ SV70 @ SV131 )
= ( insert1952693431od_b_b @ SV172 @ SV194 ) )
= $false )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1789]) ).
thf(1799,plain,
! [SV194: set_Product_prod_b_b,SV131: set_Product_prod_b_b,SV172: product_prod_b_b,SV70: product_prod_b_b] :
( ( ( SV70 = SV172 )
= $false )
| ( ( SV131 = SV194 )
= $true )
| ( ( SV70 = SV172 )
= $true )
| ( ( SV70 = SV172 )
= $false )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1791]) ).
thf(1800,plain,
! [SV194: set_Product_prod_b_b,SV131: set_Product_prod_b_b,SV172: product_prod_b_b,SV70: product_prod_b_b] :
( ( ( SV70 != SV172 )
= $false )
| ( ( ~ ! [SY538: set_Product_prod_b_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV131
!= ( insert1952693431od_b_b @ SV172 @ SY538 ) )
| ~ ~ ( member1285940496od_b_b @ SV172 @ SY538 ) )
| ( SV194
!= ( insert1952693431od_b_b @ SV70 @ SY538 ) ) )
| ~ ~ ( member1285940496od_b_b @ SV70 @ SY538 ) ) )
= $true )
| ( ( SV70 = SV172 )
= $true )
| ( ( SV70 = SV172 )
= $false )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1792]) ).
thf(1801,plain,
! [SV70: product_prod_b_b,SV194: set_Product_prod_b_b,SV241: set_Product_prod_b_b,SV172: product_prod_b_b,SV131: set_Product_prod_b_b] :
( ( ( ( SV131
!= ( insert1952693431od_b_b @ SV172 @ SV241 ) )
| ~ ~ ( member1285940496od_b_b @ SV172 @ SV241 ) )
= $true )
| ( ( SV194
!= ( insert1952693431od_b_b @ SV70 @ SV241 ) )
= $true )
| ( ( ~ ~ ( member1285940496od_b_b @ SV70 @ SV241 ) )
= $true )
| ( ( SV70 = SV172 )
= $true )
| ( ( ~ ( ( ( insert1952693431od_b_b @ SV70 @ SV131 )
!= ( insert1952693431od_b_b @ SV172 @ SV194 ) )
| ~ ~ ( ~ ( ( SV70 != SV172 )
| ( SV131 = SV194 ) )
| ~ ( ~ ( ( SV70 != SV172 ) )
| ~ ! [SY538: set_Product_prod_b_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV131
!= ( insert1952693431od_b_b @ SV172 @ SY538 ) )
| ~ ~ ( member1285940496od_b_b @ SV172 @ SY538 ) )
| ( SV194
!= ( insert1952693431od_b_b @ SV70 @ SY538 ) ) )
| ~ ~ ( member1285940496od_b_b @ SV70 @ SY538 ) ) ) ) ) )
= $true )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1793]) ).
thf(1802,plain,
! [SV194: set_Product_prod_b_b,SV131: set_Product_prod_b_b,SV172: product_prod_b_b,SV70: product_prod_b_b] :
( ( ( SV70 = SV172 )
= $true )
| ( ( ~ ! [SY538: set_Product_prod_b_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV131
!= ( insert1952693431od_b_b @ SV172 @ SY538 ) )
| ~ ~ ( member1285940496od_b_b @ SV172 @ SY538 ) )
| ( SV194
!= ( insert1952693431od_b_b @ SV70 @ SY538 ) ) )
| ~ ~ ( member1285940496od_b_b @ SV70 @ SY538 ) ) )
= $true )
| ( ( SV131 = SV194 )
= $false )
| ( ( SV70 = SV172 )
= $false )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1795]) ).
thf(1803,plain,
! [SV70: product_prod_b_b,SV194: set_Product_prod_b_b,SV240: set_Product_prod_b_b,SV172: product_prod_b_b,SV131: set_Product_prod_b_b] :
( ( ( SV131
!= ( insert1952693431od_b_b @ SV172 @ SV240 ) )
= $true )
| ( ( ~ ~ ( member1285940496od_b_b @ SV172 @ SV240 ) )
= $true )
| ( ( SV194
!= ( insert1952693431od_b_b @ SV70 @ SV240 ) )
= $true )
| ( ( ~ ~ ( member1285940496od_b_b @ SV70 @ SV240 ) )
= $true )
| ( ( SV131 = SV194 )
= $false )
| ( ( ~ ( ( ( insert1952693431od_b_b @ SV70 @ SV131 )
!= ( insert1952693431od_b_b @ SV172 @ SV194 ) )
| ~ ~ ( ~ ( ( SV70 != SV172 )
| ( SV131 = SV194 ) )
| ~ ( ~ ( ( SV70 != SV172 ) )
| ~ ! [SY538: set_Product_prod_b_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV131
!= ( insert1952693431od_b_b @ SV172 @ SY538 ) )
| ~ ~ ( member1285940496od_b_b @ SV172 @ SY538 ) )
| ( SV194
!= ( insert1952693431od_b_b @ SV70 @ SY538 ) ) )
| ~ ~ ( member1285940496od_b_b @ SV70 @ SY538 ) ) ) ) ) )
= $true )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1796]) ).
thf(1804,plain,
! [SV194: set_Product_prod_b_b,SV70: product_prod_b_b,SV172: product_prod_b_b,SV131: set_Product_prod_b_b] :
( ( ( ~ ( ( SV131
!= ( insert1952693431od_b_b @ SV172 @ ( sK53_SY538 @ SV70 @ SV194 @ SV172 @ SV131 ) ) )
| ~ ~ ( member1285940496od_b_b @ SV172 @ ( sK53_SY538 @ SV70 @ SV194 @ SV172 @ SV131 ) ) ) )
= $true )
| ( ( SV70 = SV172 )
= $true )
| ( ( ( insert1952693431od_b_b @ SV70 @ SV131 )
= ( insert1952693431od_b_b @ SV172 @ SV194 ) )
= $false )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1797]) ).
thf(1805,plain,
! [SV131: set_Product_prod_b_b,SV172: product_prod_b_b,SV70: product_prod_b_b,SV194: set_Product_prod_b_b] :
( ( ( SV194
= ( insert1952693431od_b_b @ SV70 @ ( sK53_SY538 @ SV70 @ SV194 @ SV172 @ SV131 ) ) )
= $true )
| ( ( SV70 = SV172 )
= $true )
| ( ( ( insert1952693431od_b_b @ SV70 @ SV131 )
= ( insert1952693431od_b_b @ SV172 @ SV194 ) )
= $false )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1798]) ).
thf(1806,plain,
! [SV194: set_Product_prod_b_b,SV131: set_Product_prod_b_b,SV172: product_prod_b_b,SV70: product_prod_b_b] :
( ( ( SV70 = SV172 )
= $true )
| ( ( ~ ! [SY538: set_Product_prod_b_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV131
!= ( insert1952693431od_b_b @ SV172 @ SY538 ) )
| ~ ~ ( member1285940496od_b_b @ SV172 @ SY538 ) )
| ( SV194
!= ( insert1952693431od_b_b @ SV70 @ SY538 ) ) )
| ~ ~ ( member1285940496od_b_b @ SV70 @ SY538 ) ) )
= $true )
| ( ( SV70 = SV172 )
= $true )
| ( ( SV70 = SV172 )
= $false )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1800]) ).
thf(1807,plain,
! [SV70: product_prod_b_b,SV194: set_Product_prod_b_b,SV241: set_Product_prod_b_b,SV172: product_prod_b_b,SV131: set_Product_prod_b_b] :
( ( ( SV131
!= ( insert1952693431od_b_b @ SV172 @ SV241 ) )
= $true )
| ( ( ~ ~ ( member1285940496od_b_b @ SV172 @ SV241 ) )
= $true )
| ( ( SV194
!= ( insert1952693431od_b_b @ SV70 @ SV241 ) )
= $true )
| ( ( ~ ~ ( member1285940496od_b_b @ SV70 @ SV241 ) )
= $true )
| ( ( SV70 = SV172 )
= $true )
| ( ( ~ ( ( ( insert1952693431od_b_b @ SV70 @ SV131 )
!= ( insert1952693431od_b_b @ SV172 @ SV194 ) )
| ~ ~ ( ~ ( ( SV70 != SV172 )
| ( SV131 = SV194 ) )
| ~ ( ~ ( ( SV70 != SV172 ) )
| ~ ! [SY538: set_Product_prod_b_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV131
!= ( insert1952693431od_b_b @ SV172 @ SY538 ) )
| ~ ~ ( member1285940496od_b_b @ SV172 @ SY538 ) )
| ( SV194
!= ( insert1952693431od_b_b @ SV70 @ SY538 ) ) )
| ~ ~ ( member1285940496od_b_b @ SV70 @ SY538 ) ) ) ) ) )
= $true )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1801]) ).
thf(1808,plain,
! [SV70: product_prod_b_b,SV194: set_Product_prod_b_b,SV172: product_prod_b_b,SV131: set_Product_prod_b_b] :
( ( ( ! [SY538: set_Product_prod_b_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV131
!= ( insert1952693431od_b_b @ SV172 @ SY538 ) )
| ~ ~ ( member1285940496od_b_b @ SV172 @ SY538 ) )
| ( SV194
!= ( insert1952693431od_b_b @ SV70 @ SY538 ) ) )
| ~ ~ ( member1285940496od_b_b @ SV70 @ SY538 ) ) )
= $false )
| ( ( SV70 = SV172 )
= $true )
| ( ( SV131 = SV194 )
= $false )
| ( ( SV70 = SV172 )
= $false )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1802]) ).
thf(1809,plain,
! [SV70: product_prod_b_b,SV194: set_Product_prod_b_b,SV240: set_Product_prod_b_b,SV172: product_prod_b_b,SV131: set_Product_prod_b_b] :
( ( ( SV131
= ( insert1952693431od_b_b @ SV172 @ SV240 ) )
= $false )
| ( ( ~ ~ ( member1285940496od_b_b @ SV172 @ SV240 ) )
= $true )
| ( ( SV194
!= ( insert1952693431od_b_b @ SV70 @ SV240 ) )
= $true )
| ( ( ~ ~ ( member1285940496od_b_b @ SV70 @ SV240 ) )
= $true )
| ( ( SV131 = SV194 )
= $false )
| ( ( ~ ( ( ( insert1952693431od_b_b @ SV70 @ SV131 )
!= ( insert1952693431od_b_b @ SV172 @ SV194 ) )
| ~ ~ ( ~ ( ( SV70 != SV172 )
| ( SV131 = SV194 ) )
| ~ ( ~ ( ( SV70 != SV172 ) )
| ~ ! [SY538: set_Product_prod_b_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV131
!= ( insert1952693431od_b_b @ SV172 @ SY538 ) )
| ~ ~ ( member1285940496od_b_b @ SV172 @ SY538 ) )
| ( SV194
!= ( insert1952693431od_b_b @ SV70 @ SY538 ) ) )
| ~ ~ ( member1285940496od_b_b @ SV70 @ SY538 ) ) ) ) ) )
= $true )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1803]) ).
thf(1810,plain,
! [SV194: set_Product_prod_b_b,SV70: product_prod_b_b,SV172: product_prod_b_b,SV131: set_Product_prod_b_b] :
( ( ( ( SV131
!= ( insert1952693431od_b_b @ SV172 @ ( sK53_SY538 @ SV70 @ SV194 @ SV172 @ SV131 ) ) )
| ~ ~ ( member1285940496od_b_b @ SV172 @ ( sK53_SY538 @ SV70 @ SV194 @ SV172 @ SV131 ) ) )
= $false )
| ( ( SV70 = SV172 )
= $true )
| ( ( ( insert1952693431od_b_b @ SV70 @ SV131 )
= ( insert1952693431od_b_b @ SV172 @ SV194 ) )
= $false )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1804]) ).
thf(1811,plain,
! [SV70: product_prod_b_b,SV194: set_Product_prod_b_b,SV172: product_prod_b_b,SV131: set_Product_prod_b_b] :
( ( ( ! [SY538: set_Product_prod_b_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV131
!= ( insert1952693431od_b_b @ SV172 @ SY538 ) )
| ~ ~ ( member1285940496od_b_b @ SV172 @ SY538 ) )
| ( SV194
!= ( insert1952693431od_b_b @ SV70 @ SY538 ) ) )
| ~ ~ ( member1285940496od_b_b @ SV70 @ SY538 ) ) )
= $false )
| ( ( SV70 = SV172 )
= $true )
| ( ( SV70 = SV172 )
= $true )
| ( ( SV70 = SV172 )
= $false )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1806]) ).
thf(1812,plain,
! [SV70: product_prod_b_b,SV194: set_Product_prod_b_b,SV241: set_Product_prod_b_b,SV172: product_prod_b_b,SV131: set_Product_prod_b_b] :
( ( ( SV131
= ( insert1952693431od_b_b @ SV172 @ SV241 ) )
= $false )
| ( ( ~ ~ ( member1285940496od_b_b @ SV172 @ SV241 ) )
= $true )
| ( ( SV194
!= ( insert1952693431od_b_b @ SV70 @ SV241 ) )
= $true )
| ( ( ~ ~ ( member1285940496od_b_b @ SV70 @ SV241 ) )
= $true )
| ( ( SV70 = SV172 )
= $true )
| ( ( ~ ( ( ( insert1952693431od_b_b @ SV70 @ SV131 )
!= ( insert1952693431od_b_b @ SV172 @ SV194 ) )
| ~ ~ ( ~ ( ( SV70 != SV172 )
| ( SV131 = SV194 ) )
| ~ ( ~ ( ( SV70 != SV172 ) )
| ~ ! [SY538: set_Product_prod_b_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV131
!= ( insert1952693431od_b_b @ SV172 @ SY538 ) )
| ~ ~ ( member1285940496od_b_b @ SV172 @ SY538 ) )
| ( SV194
!= ( insert1952693431od_b_b @ SV70 @ SY538 ) ) )
| ~ ~ ( member1285940496od_b_b @ SV70 @ SY538 ) ) ) ) ) )
= $true )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1807]) ).
thf(1813,plain,
! [SV194: set_Product_prod_b_b,SV70: product_prod_b_b,SV172: product_prod_b_b,SV131: set_Product_prod_b_b] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV131
!= ( insert1952693431od_b_b @ SV172 @ ( sK54_SY538 @ SV70 @ SV194 @ SV172 @ SV131 ) ) )
| ~ ~ ( member1285940496od_b_b @ SV172 @ ( sK54_SY538 @ SV70 @ SV194 @ SV172 @ SV131 ) ) )
| ( SV194
!= ( insert1952693431od_b_b @ SV70 @ ( sK54_SY538 @ SV70 @ SV194 @ SV172 @ SV131 ) ) ) )
| ~ ~ ( member1285940496od_b_b @ SV70 @ ( sK54_SY538 @ SV70 @ SV194 @ SV172 @ SV131 ) ) ) )
= $false )
| ( ( SV70 = SV172 )
= $true )
| ( ( SV131 = SV194 )
= $false )
| ( ( SV70 = SV172 )
= $false )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1808]) ).
thf(1814,plain,
! [SV70: product_prod_b_b,SV194: set_Product_prod_b_b,SV131: set_Product_prod_b_b,SV240: set_Product_prod_b_b,SV172: product_prod_b_b] :
( ( ( ~ ( member1285940496od_b_b @ SV172 @ SV240 ) )
= $false )
| ( ( SV131
= ( insert1952693431od_b_b @ SV172 @ SV240 ) )
= $false )
| ( ( SV194
!= ( insert1952693431od_b_b @ SV70 @ SV240 ) )
= $true )
| ( ( ~ ~ ( member1285940496od_b_b @ SV70 @ SV240 ) )
= $true )
| ( ( SV131 = SV194 )
= $false )
| ( ( ~ ( ( ( insert1952693431od_b_b @ SV70 @ SV131 )
!= ( insert1952693431od_b_b @ SV172 @ SV194 ) )
| ~ ~ ( ~ ( ( SV70 != SV172 )
| ( SV131 = SV194 ) )
| ~ ( ~ ( ( SV70 != SV172 ) )
| ~ ! [SY538: set_Product_prod_b_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV131
!= ( insert1952693431od_b_b @ SV172 @ SY538 ) )
| ~ ~ ( member1285940496od_b_b @ SV172 @ SY538 ) )
| ( SV194
!= ( insert1952693431od_b_b @ SV70 @ SY538 ) ) )
| ~ ~ ( member1285940496od_b_b @ SV70 @ SY538 ) ) ) ) ) )
= $true )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1809]) ).
thf(1815,plain,
! [SV194: set_Product_prod_b_b,SV70: product_prod_b_b,SV172: product_prod_b_b,SV131: set_Product_prod_b_b] :
( ( ( SV131
!= ( insert1952693431od_b_b @ SV172 @ ( sK53_SY538 @ SV70 @ SV194 @ SV172 @ SV131 ) ) )
= $false )
| ( ( SV70 = SV172 )
= $true )
| ( ( ( insert1952693431od_b_b @ SV70 @ SV131 )
= ( insert1952693431od_b_b @ SV172 @ SV194 ) )
= $false )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1810]) ).
thf(1816,plain,
! [SV131: set_Product_prod_b_b,SV194: set_Product_prod_b_b,SV70: product_prod_b_b,SV172: product_prod_b_b] :
( ( ( ~ ~ ( member1285940496od_b_b @ SV172 @ ( sK53_SY538 @ SV70 @ SV194 @ SV172 @ SV131 ) ) )
= $false )
| ( ( SV70 = SV172 )
= $true )
| ( ( ( insert1952693431od_b_b @ SV70 @ SV131 )
= ( insert1952693431od_b_b @ SV172 @ SV194 ) )
= $false )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1810]) ).
thf(1817,plain,
! [SV194: set_Product_prod_b_b,SV70: product_prod_b_b,SV172: product_prod_b_b,SV131: set_Product_prod_b_b] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV131
!= ( insert1952693431od_b_b @ SV172 @ ( sK55_SY538 @ SV70 @ SV194 @ SV172 @ SV131 ) ) )
| ~ ~ ( member1285940496od_b_b @ SV172 @ ( sK55_SY538 @ SV70 @ SV194 @ SV172 @ SV131 ) ) )
| ( SV194
!= ( insert1952693431od_b_b @ SV70 @ ( sK55_SY538 @ SV70 @ SV194 @ SV172 @ SV131 ) ) ) )
| ~ ~ ( member1285940496od_b_b @ SV70 @ ( sK55_SY538 @ SV70 @ SV194 @ SV172 @ SV131 ) ) ) )
= $false )
| ( ( SV70 = SV172 )
= $true )
| ( ( SV70 = SV172 )
= $true )
| ( ( SV70 = SV172 )
= $false )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1811]) ).
thf(1818,plain,
! [SV70: product_prod_b_b,SV194: set_Product_prod_b_b,SV131: set_Product_prod_b_b,SV241: set_Product_prod_b_b,SV172: product_prod_b_b] :
( ( ( ~ ( member1285940496od_b_b @ SV172 @ SV241 ) )
= $false )
| ( ( SV131
= ( insert1952693431od_b_b @ SV172 @ SV241 ) )
= $false )
| ( ( SV194
!= ( insert1952693431od_b_b @ SV70 @ SV241 ) )
= $true )
| ( ( ~ ~ ( member1285940496od_b_b @ SV70 @ SV241 ) )
= $true )
| ( ( SV70 = SV172 )
= $true )
| ( ( ~ ( ( ( insert1952693431od_b_b @ SV70 @ SV131 )
!= ( insert1952693431od_b_b @ SV172 @ SV194 ) )
| ~ ~ ( ~ ( ( SV70 != SV172 )
| ( SV131 = SV194 ) )
| ~ ( ~ ( ( SV70 != SV172 ) )
| ~ ! [SY538: set_Product_prod_b_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV131
!= ( insert1952693431od_b_b @ SV172 @ SY538 ) )
| ~ ~ ( member1285940496od_b_b @ SV172 @ SY538 ) )
| ( SV194
!= ( insert1952693431od_b_b @ SV70 @ SY538 ) ) )
| ~ ~ ( member1285940496od_b_b @ SV70 @ SY538 ) ) ) ) ) )
= $true )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1812]) ).
thf(1819,plain,
! [SV194: set_Product_prod_b_b,SV70: product_prod_b_b,SV172: product_prod_b_b,SV131: set_Product_prod_b_b] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ( SV131
!= ( insert1952693431od_b_b @ SV172 @ ( sK54_SY538 @ SV70 @ SV194 @ SV172 @ SV131 ) ) )
| ~ ~ ( member1285940496od_b_b @ SV172 @ ( sK54_SY538 @ SV70 @ SV194 @ SV172 @ SV131 ) ) )
| ( SV194
!= ( insert1952693431od_b_b @ SV70 @ ( sK54_SY538 @ SV70 @ SV194 @ SV172 @ SV131 ) ) ) )
| ~ ~ ( member1285940496od_b_b @ SV70 @ ( sK54_SY538 @ SV70 @ SV194 @ SV172 @ SV131 ) ) ) )
= $true )
| ( ( SV70 = SV172 )
= $true )
| ( ( SV131 = SV194 )
= $false )
| ( ( SV70 = SV172 )
= $false )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1813]) ).
thf(1820,plain,
! [SV70: product_prod_b_b,SV194: set_Product_prod_b_b,SV131: set_Product_prod_b_b,SV240: set_Product_prod_b_b,SV172: product_prod_b_b] :
( ( ( member1285940496od_b_b @ SV172 @ SV240 )
= $true )
| ( ( SV131
= ( insert1952693431od_b_b @ SV172 @ SV240 ) )
= $false )
| ( ( SV194
!= ( insert1952693431od_b_b @ SV70 @ SV240 ) )
= $true )
| ( ( ~ ~ ( member1285940496od_b_b @ SV70 @ SV240 ) )
= $true )
| ( ( SV131 = SV194 )
= $false )
| ( ( ~ ( ( ( insert1952693431od_b_b @ SV70 @ SV131 )
!= ( insert1952693431od_b_b @ SV172 @ SV194 ) )
| ~ ~ ( ~ ( ( SV70 != SV172 )
| ( SV131 = SV194 ) )
| ~ ( ~ ( ( SV70 != SV172 ) )
| ~ ! [SY538: set_Product_prod_b_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV131
!= ( insert1952693431od_b_b @ SV172 @ SY538 ) )
| ~ ~ ( member1285940496od_b_b @ SV172 @ SY538 ) )
| ( SV194
!= ( insert1952693431od_b_b @ SV70 @ SY538 ) ) )
| ~ ~ ( member1285940496od_b_b @ SV70 @ SY538 ) ) ) ) ) )
= $true )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1814]) ).
thf(1821,plain,
! [SV194: set_Product_prod_b_b,SV70: product_prod_b_b,SV172: product_prod_b_b,SV131: set_Product_prod_b_b] :
( ( ( SV131
= ( insert1952693431od_b_b @ SV172 @ ( sK53_SY538 @ SV70 @ SV194 @ SV172 @ SV131 ) ) )
= $true )
| ( ( SV70 = SV172 )
= $true )
| ( ( ( insert1952693431od_b_b @ SV70 @ SV131 )
= ( insert1952693431od_b_b @ SV172 @ SV194 ) )
= $false )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1815]) ).
thf(1822,plain,
! [SV131: set_Product_prod_b_b,SV194: set_Product_prod_b_b,SV70: product_prod_b_b,SV172: product_prod_b_b] :
( ( ( ~ ( member1285940496od_b_b @ SV172 @ ( sK53_SY538 @ SV70 @ SV194 @ SV172 @ SV131 ) ) )
= $true )
| ( ( SV70 = SV172 )
= $true )
| ( ( ( insert1952693431od_b_b @ SV70 @ SV131 )
= ( insert1952693431od_b_b @ SV172 @ SV194 ) )
= $false )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1816]) ).
thf(1823,plain,
! [SV194: set_Product_prod_b_b,SV70: product_prod_b_b,SV172: product_prod_b_b,SV131: set_Product_prod_b_b] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ( SV131
!= ( insert1952693431od_b_b @ SV172 @ ( sK55_SY538 @ SV70 @ SV194 @ SV172 @ SV131 ) ) )
| ~ ~ ( member1285940496od_b_b @ SV172 @ ( sK55_SY538 @ SV70 @ SV194 @ SV172 @ SV131 ) ) )
| ( SV194
!= ( insert1952693431od_b_b @ SV70 @ ( sK55_SY538 @ SV70 @ SV194 @ SV172 @ SV131 ) ) ) )
| ~ ~ ( member1285940496od_b_b @ SV70 @ ( sK55_SY538 @ SV70 @ SV194 @ SV172 @ SV131 ) ) ) )
= $true )
| ( ( SV70 = SV172 )
= $true )
| ( ( SV70 = SV172 )
= $true )
| ( ( SV70 = SV172 )
= $false )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1817]) ).
thf(1824,plain,
! [SV70: product_prod_b_b,SV194: set_Product_prod_b_b,SV131: set_Product_prod_b_b,SV241: set_Product_prod_b_b,SV172: product_prod_b_b] :
( ( ( member1285940496od_b_b @ SV172 @ SV241 )
= $true )
| ( ( SV131
= ( insert1952693431od_b_b @ SV172 @ SV241 ) )
= $false )
| ( ( SV194
!= ( insert1952693431od_b_b @ SV70 @ SV241 ) )
= $true )
| ( ( ~ ~ ( member1285940496od_b_b @ SV70 @ SV241 ) )
= $true )
| ( ( SV70 = SV172 )
= $true )
| ( ( ~ ( ( ( insert1952693431od_b_b @ SV70 @ SV131 )
!= ( insert1952693431od_b_b @ SV172 @ SV194 ) )
| ~ ~ ( ~ ( ( SV70 != SV172 )
| ( SV131 = SV194 ) )
| ~ ( ~ ( ( SV70 != SV172 ) )
| ~ ! [SY538: set_Product_prod_b_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV131
!= ( insert1952693431od_b_b @ SV172 @ SY538 ) )
| ~ ~ ( member1285940496od_b_b @ SV172 @ SY538 ) )
| ( SV194
!= ( insert1952693431od_b_b @ SV70 @ SY538 ) ) )
| ~ ~ ( member1285940496od_b_b @ SV70 @ SY538 ) ) ) ) ) )
= $true )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1818]) ).
thf(1825,plain,
! [SV194: set_Product_prod_b_b,SV70: product_prod_b_b,SV172: product_prod_b_b,SV131: set_Product_prod_b_b] :
( ( ( ~ ~ ( ~ ~ ( ( SV131
!= ( insert1952693431od_b_b @ SV172 @ ( sK54_SY538 @ SV70 @ SV194 @ SV172 @ SV131 ) ) )
| ~ ~ ( member1285940496od_b_b @ SV172 @ ( sK54_SY538 @ SV70 @ SV194 @ SV172 @ SV131 ) ) )
| ( SV194
!= ( insert1952693431od_b_b @ SV70 @ ( sK54_SY538 @ SV70 @ SV194 @ SV172 @ SV131 ) ) ) )
| ~ ~ ( member1285940496od_b_b @ SV70 @ ( sK54_SY538 @ SV70 @ SV194 @ SV172 @ SV131 ) ) )
= $false )
| ( ( SV70 = SV172 )
= $true )
| ( ( SV131 = SV194 )
= $false )
| ( ( SV70 = SV172 )
= $false )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1819]) ).
thf(1826,plain,
! [SV172: product_prod_b_b,SV131: set_Product_prod_b_b,SV240: set_Product_prod_b_b,SV70: product_prod_b_b,SV194: set_Product_prod_b_b] :
( ( ( SV194
= ( insert1952693431od_b_b @ SV70 @ SV240 ) )
= $false )
| ( ( SV131
= ( insert1952693431od_b_b @ SV172 @ SV240 ) )
= $false )
| ( ( member1285940496od_b_b @ SV172 @ SV240 )
= $true )
| ( ( ~ ~ ( member1285940496od_b_b @ SV70 @ SV240 ) )
= $true )
| ( ( SV131 = SV194 )
= $false )
| ( ( ~ ( ( ( insert1952693431od_b_b @ SV70 @ SV131 )
!= ( insert1952693431od_b_b @ SV172 @ SV194 ) )
| ~ ~ ( ~ ( ( SV70 != SV172 )
| ( SV131 = SV194 ) )
| ~ ( ~ ( ( SV70 != SV172 ) )
| ~ ! [SY538: set_Product_prod_b_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV131
!= ( insert1952693431od_b_b @ SV172 @ SY538 ) )
| ~ ~ ( member1285940496od_b_b @ SV172 @ SY538 ) )
| ( SV194
!= ( insert1952693431od_b_b @ SV70 @ SY538 ) ) )
| ~ ~ ( member1285940496od_b_b @ SV70 @ SY538 ) ) ) ) ) )
= $true )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1820]) ).
thf(1827,plain,
! [SV131: set_Product_prod_b_b,SV194: set_Product_prod_b_b,SV70: product_prod_b_b,SV172: product_prod_b_b] :
( ( ( member1285940496od_b_b @ SV172 @ ( sK53_SY538 @ SV70 @ SV194 @ SV172 @ SV131 ) )
= $false )
| ( ( SV70 = SV172 )
= $true )
| ( ( ( insert1952693431od_b_b @ SV70 @ SV131 )
= ( insert1952693431od_b_b @ SV172 @ SV194 ) )
= $false )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1822]) ).
thf(1828,plain,
! [SV194: set_Product_prod_b_b,SV70: product_prod_b_b,SV172: product_prod_b_b,SV131: set_Product_prod_b_b] :
( ( ( ~ ~ ( ~ ~ ( ( SV131
!= ( insert1952693431od_b_b @ SV172 @ ( sK55_SY538 @ SV70 @ SV194 @ SV172 @ SV131 ) ) )
| ~ ~ ( member1285940496od_b_b @ SV172 @ ( sK55_SY538 @ SV70 @ SV194 @ SV172 @ SV131 ) ) )
| ( SV194
!= ( insert1952693431od_b_b @ SV70 @ ( sK55_SY538 @ SV70 @ SV194 @ SV172 @ SV131 ) ) ) )
| ~ ~ ( member1285940496od_b_b @ SV70 @ ( sK55_SY538 @ SV70 @ SV194 @ SV172 @ SV131 ) ) )
= $false )
| ( ( SV70 = SV172 )
= $true )
| ( ( SV70 = SV172 )
= $true )
| ( ( SV70 = SV172 )
= $false )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1823]) ).
thf(1829,plain,
! [SV172: product_prod_b_b,SV131: set_Product_prod_b_b,SV241: set_Product_prod_b_b,SV70: product_prod_b_b,SV194: set_Product_prod_b_b] :
( ( ( SV194
= ( insert1952693431od_b_b @ SV70 @ SV241 ) )
= $false )
| ( ( SV131
= ( insert1952693431od_b_b @ SV172 @ SV241 ) )
= $false )
| ( ( member1285940496od_b_b @ SV172 @ SV241 )
= $true )
| ( ( ~ ~ ( member1285940496od_b_b @ SV70 @ SV241 ) )
= $true )
| ( ( SV70 = SV172 )
= $true )
| ( ( ~ ( ( ( insert1952693431od_b_b @ SV70 @ SV131 )
!= ( insert1952693431od_b_b @ SV172 @ SV194 ) )
| ~ ~ ( ~ ( ( SV70 != SV172 )
| ( SV131 = SV194 ) )
| ~ ( ~ ( ( SV70 != SV172 ) )
| ~ ! [SY538: set_Product_prod_b_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV131
!= ( insert1952693431od_b_b @ SV172 @ SY538 ) )
| ~ ~ ( member1285940496od_b_b @ SV172 @ SY538 ) )
| ( SV194
!= ( insert1952693431od_b_b @ SV70 @ SY538 ) ) )
| ~ ~ ( member1285940496od_b_b @ SV70 @ SY538 ) ) ) ) ) )
= $true )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1824]) ).
thf(1830,plain,
! [SV194: set_Product_prod_b_b,SV70: product_prod_b_b,SV172: product_prod_b_b,SV131: set_Product_prod_b_b] :
( ( ( ~ ~ ( ~ ~ ( ( SV131
!= ( insert1952693431od_b_b @ SV172 @ ( sK54_SY538 @ SV70 @ SV194 @ SV172 @ SV131 ) ) )
| ~ ~ ( member1285940496od_b_b @ SV172 @ ( sK54_SY538 @ SV70 @ SV194 @ SV172 @ SV131 ) ) )
| ( SV194
!= ( insert1952693431od_b_b @ SV70 @ ( sK54_SY538 @ SV70 @ SV194 @ SV172 @ SV131 ) ) ) ) )
= $false )
| ( ( SV70 = SV172 )
= $true )
| ( ( SV131 = SV194 )
= $false )
| ( ( SV70 = SV172 )
= $false )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1825]) ).
thf(1831,plain,
! [SV131: set_Product_prod_b_b,SV172: product_prod_b_b,SV194: set_Product_prod_b_b,SV70: product_prod_b_b] :
( ( ( ~ ~ ( member1285940496od_b_b @ SV70 @ ( sK54_SY538 @ SV70 @ SV194 @ SV172 @ SV131 ) ) )
= $false )
| ( ( SV70 = SV172 )
= $true )
| ( ( SV131 = SV194 )
= $false )
| ( ( SV70 = SV172 )
= $false )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1825]) ).
thf(1832,plain,
! [SV194: set_Product_prod_b_b,SV131: set_Product_prod_b_b,SV172: product_prod_b_b,SV240: set_Product_prod_b_b,SV70: product_prod_b_b] :
( ( ( ~ ( member1285940496od_b_b @ SV70 @ SV240 ) )
= $false )
| ( ( member1285940496od_b_b @ SV172 @ SV240 )
= $true )
| ( ( SV131
= ( insert1952693431od_b_b @ SV172 @ SV240 ) )
= $false )
| ( ( SV194
= ( insert1952693431od_b_b @ SV70 @ SV240 ) )
= $false )
| ( ( SV131 = SV194 )
= $false )
| ( ( ~ ( ( ( insert1952693431od_b_b @ SV70 @ SV131 )
!= ( insert1952693431od_b_b @ SV172 @ SV194 ) )
| ~ ~ ( ~ ( ( SV70 != SV172 )
| ( SV131 = SV194 ) )
| ~ ( ~ ( ( SV70 != SV172 ) )
| ~ ! [SY538: set_Product_prod_b_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV131
!= ( insert1952693431od_b_b @ SV172 @ SY538 ) )
| ~ ~ ( member1285940496od_b_b @ SV172 @ SY538 ) )
| ( SV194
!= ( insert1952693431od_b_b @ SV70 @ SY538 ) ) )
| ~ ~ ( member1285940496od_b_b @ SV70 @ SY538 ) ) ) ) ) )
= $true )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1826]) ).
thf(1833,plain,
! [SV194: set_Product_prod_b_b,SV70: product_prod_b_b,SV172: product_prod_b_b,SV131: set_Product_prod_b_b] :
( ( ( ~ ~ ( ~ ~ ( ( SV131
!= ( insert1952693431od_b_b @ SV172 @ ( sK55_SY538 @ SV70 @ SV194 @ SV172 @ SV131 ) ) )
| ~ ~ ( member1285940496od_b_b @ SV172 @ ( sK55_SY538 @ SV70 @ SV194 @ SV172 @ SV131 ) ) )
| ( SV194
!= ( insert1952693431od_b_b @ SV70 @ ( sK55_SY538 @ SV70 @ SV194 @ SV172 @ SV131 ) ) ) ) )
= $false )
| ( ( SV70 = SV172 )
= $true )
| ( ( SV70 = SV172 )
= $true )
| ( ( SV70 = SV172 )
= $false )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1828]) ).
thf(1834,plain,
! [SV131: set_Product_prod_b_b,SV172: product_prod_b_b,SV194: set_Product_prod_b_b,SV70: product_prod_b_b] :
( ( ( ~ ~ ( member1285940496od_b_b @ SV70 @ ( sK55_SY538 @ SV70 @ SV194 @ SV172 @ SV131 ) ) )
= $false )
| ( ( SV70 = SV172 )
= $true )
| ( ( SV70 = SV172 )
= $true )
| ( ( SV70 = SV172 )
= $false )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1828]) ).
thf(1835,plain,
! [SV194: set_Product_prod_b_b,SV131: set_Product_prod_b_b,SV172: product_prod_b_b,SV241: set_Product_prod_b_b,SV70: product_prod_b_b] :
( ( ( ~ ( member1285940496od_b_b @ SV70 @ SV241 ) )
= $false )
| ( ( member1285940496od_b_b @ SV172 @ SV241 )
= $true )
| ( ( SV131
= ( insert1952693431od_b_b @ SV172 @ SV241 ) )
= $false )
| ( ( SV194
= ( insert1952693431od_b_b @ SV70 @ SV241 ) )
= $false )
| ( ( SV70 = SV172 )
= $true )
| ( ( ~ ( ( ( insert1952693431od_b_b @ SV70 @ SV131 )
!= ( insert1952693431od_b_b @ SV172 @ SV194 ) )
| ~ ~ ( ~ ( ( SV70 != SV172 )
| ( SV131 = SV194 ) )
| ~ ( ~ ( ( SV70 != SV172 ) )
| ~ ! [SY538: set_Product_prod_b_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV131
!= ( insert1952693431od_b_b @ SV172 @ SY538 ) )
| ~ ~ ( member1285940496od_b_b @ SV172 @ SY538 ) )
| ( SV194
!= ( insert1952693431od_b_b @ SV70 @ SY538 ) ) )
| ~ ~ ( member1285940496od_b_b @ SV70 @ SY538 ) ) ) ) ) )
= $true )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1829]) ).
thf(1836,plain,
! [SV194: set_Product_prod_b_b,SV70: product_prod_b_b,SV172: product_prod_b_b,SV131: set_Product_prod_b_b] :
( ( ( ~ ( ~ ~ ( ( SV131
!= ( insert1952693431od_b_b @ SV172 @ ( sK54_SY538 @ SV70 @ SV194 @ SV172 @ SV131 ) ) )
| ~ ~ ( member1285940496od_b_b @ SV172 @ ( sK54_SY538 @ SV70 @ SV194 @ SV172 @ SV131 ) ) )
| ( SV194
!= ( insert1952693431od_b_b @ SV70 @ ( sK54_SY538 @ SV70 @ SV194 @ SV172 @ SV131 ) ) ) ) )
= $true )
| ( ( SV70 = SV172 )
= $true )
| ( ( SV131 = SV194 )
= $false )
| ( ( SV70 = SV172 )
= $false )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1830]) ).
thf(1837,plain,
! [SV131: set_Product_prod_b_b,SV172: product_prod_b_b,SV194: set_Product_prod_b_b,SV70: product_prod_b_b] :
( ( ( ~ ( member1285940496od_b_b @ SV70 @ ( sK54_SY538 @ SV70 @ SV194 @ SV172 @ SV131 ) ) )
= $true )
| ( ( SV70 = SV172 )
= $true )
| ( ( SV131 = SV194 )
= $false )
| ( ( SV70 = SV172 )
= $false )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1831]) ).
thf(1838,plain,
! [SV194: set_Product_prod_b_b,SV131: set_Product_prod_b_b,SV172: product_prod_b_b,SV240: set_Product_prod_b_b,SV70: product_prod_b_b] :
( ( ( member1285940496od_b_b @ SV70 @ SV240 )
= $true )
| ( ( member1285940496od_b_b @ SV172 @ SV240 )
= $true )
| ( ( SV131
= ( insert1952693431od_b_b @ SV172 @ SV240 ) )
= $false )
| ( ( SV194
= ( insert1952693431od_b_b @ SV70 @ SV240 ) )
= $false )
| ( ( SV131 = SV194 )
= $false )
| ( ( ~ ( ( ( insert1952693431od_b_b @ SV70 @ SV131 )
!= ( insert1952693431od_b_b @ SV172 @ SV194 ) )
| ~ ~ ( ~ ( ( SV70 != SV172 )
| ( SV131 = SV194 ) )
| ~ ( ~ ( ( SV70 != SV172 ) )
| ~ ! [SY538: set_Product_prod_b_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV131
!= ( insert1952693431od_b_b @ SV172 @ SY538 ) )
| ~ ~ ( member1285940496od_b_b @ SV172 @ SY538 ) )
| ( SV194
!= ( insert1952693431od_b_b @ SV70 @ SY538 ) ) )
| ~ ~ ( member1285940496od_b_b @ SV70 @ SY538 ) ) ) ) ) )
= $true )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1832]) ).
thf(1839,plain,
! [SV194: set_Product_prod_b_b,SV70: product_prod_b_b,SV172: product_prod_b_b,SV131: set_Product_prod_b_b] :
( ( ( ~ ( ~ ~ ( ( SV131
!= ( insert1952693431od_b_b @ SV172 @ ( sK55_SY538 @ SV70 @ SV194 @ SV172 @ SV131 ) ) )
| ~ ~ ( member1285940496od_b_b @ SV172 @ ( sK55_SY538 @ SV70 @ SV194 @ SV172 @ SV131 ) ) )
| ( SV194
!= ( insert1952693431od_b_b @ SV70 @ ( sK55_SY538 @ SV70 @ SV194 @ SV172 @ SV131 ) ) ) ) )
= $true )
| ( ( SV70 = SV172 )
= $true )
| ( ( SV70 = SV172 )
= $true )
| ( ( SV70 = SV172 )
= $false )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1833]) ).
thf(1840,plain,
! [SV131: set_Product_prod_b_b,SV172: product_prod_b_b,SV194: set_Product_prod_b_b,SV70: product_prod_b_b] :
( ( ( ~ ( member1285940496od_b_b @ SV70 @ ( sK55_SY538 @ SV70 @ SV194 @ SV172 @ SV131 ) ) )
= $true )
| ( ( SV70 = SV172 )
= $true )
| ( ( SV70 = SV172 )
= $true )
| ( ( SV70 = SV172 )
= $false )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1834]) ).
thf(1841,plain,
! [SV194: set_Product_prod_b_b,SV131: set_Product_prod_b_b,SV172: product_prod_b_b,SV241: set_Product_prod_b_b,SV70: product_prod_b_b] :
( ( ( member1285940496od_b_b @ SV70 @ SV241 )
= $true )
| ( ( member1285940496od_b_b @ SV172 @ SV241 )
= $true )
| ( ( SV131
= ( insert1952693431od_b_b @ SV172 @ SV241 ) )
= $false )
| ( ( SV194
= ( insert1952693431od_b_b @ SV70 @ SV241 ) )
= $false )
| ( ( SV70 = SV172 )
= $true )
| ( ( ~ ( ( ( insert1952693431od_b_b @ SV70 @ SV131 )
!= ( insert1952693431od_b_b @ SV172 @ SV194 ) )
| ~ ~ ( ~ ( ( SV70 != SV172 )
| ( SV131 = SV194 ) )
| ~ ( ~ ( ( SV70 != SV172 ) )
| ~ ! [SY538: set_Product_prod_b_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV131
!= ( insert1952693431od_b_b @ SV172 @ SY538 ) )
| ~ ~ ( member1285940496od_b_b @ SV172 @ SY538 ) )
| ( SV194
!= ( insert1952693431od_b_b @ SV70 @ SY538 ) ) )
| ~ ~ ( member1285940496od_b_b @ SV70 @ SY538 ) ) ) ) ) )
= $true )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1835]) ).
thf(1842,plain,
! [SV194: set_Product_prod_b_b,SV70: product_prod_b_b,SV172: product_prod_b_b,SV131: set_Product_prod_b_b] :
( ( ( ~ ~ ( ( SV131
!= ( insert1952693431od_b_b @ SV172 @ ( sK54_SY538 @ SV70 @ SV194 @ SV172 @ SV131 ) ) )
| ~ ~ ( member1285940496od_b_b @ SV172 @ ( sK54_SY538 @ SV70 @ SV194 @ SV172 @ SV131 ) ) )
| ( SV194
!= ( insert1952693431od_b_b @ SV70 @ ( sK54_SY538 @ SV70 @ SV194 @ SV172 @ SV131 ) ) ) )
= $false )
| ( ( SV70 = SV172 )
= $true )
| ( ( SV131 = SV194 )
= $false )
| ( ( SV70 = SV172 )
= $false )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1836]) ).
thf(1843,plain,
! [SV131: set_Product_prod_b_b,SV172: product_prod_b_b,SV194: set_Product_prod_b_b,SV70: product_prod_b_b] :
( ( ( member1285940496od_b_b @ SV70 @ ( sK54_SY538 @ SV70 @ SV194 @ SV172 @ SV131 ) )
= $false )
| ( ( SV70 = SV172 )
= $true )
| ( ( SV131 = SV194 )
= $false )
| ( ( SV70 = SV172 )
= $false )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1837]) ).
thf(1844,plain,
! [SV240: set_Product_prod_b_b,SV194: set_Product_prod_b_b,SV172: product_prod_b_b,SV131: set_Product_prod_b_b,SV70: product_prod_b_b] :
( ( ( ( ( insert1952693431od_b_b @ SV70 @ SV131 )
!= ( insert1952693431od_b_b @ SV172 @ SV194 ) )
| ~ ~ ( ~ ( ( SV70 != SV172 )
| ( SV131 = SV194 ) )
| ~ ( ~ ( ( SV70 != SV172 ) )
| ~ ! [SY538: set_Product_prod_b_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV131
!= ( insert1952693431od_b_b @ SV172 @ SY538 ) )
| ~ ~ ( member1285940496od_b_b @ SV172 @ SY538 ) )
| ( SV194
!= ( insert1952693431od_b_b @ SV70 @ SY538 ) ) )
| ~ ~ ( member1285940496od_b_b @ SV70 @ SY538 ) ) ) ) )
= $false )
| ( ( SV131 = SV194 )
= $false )
| ( ( SV194
= ( insert1952693431od_b_b @ SV70 @ SV240 ) )
= $false )
| ( ( SV131
= ( insert1952693431od_b_b @ SV172 @ SV240 ) )
= $false )
| ( ( member1285940496od_b_b @ SV172 @ SV240 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV240 )
= $true )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1838]) ).
thf(1845,plain,
! [SV194: set_Product_prod_b_b,SV70: product_prod_b_b,SV172: product_prod_b_b,SV131: set_Product_prod_b_b] :
( ( ( ~ ~ ( ( SV131
!= ( insert1952693431od_b_b @ SV172 @ ( sK55_SY538 @ SV70 @ SV194 @ SV172 @ SV131 ) ) )
| ~ ~ ( member1285940496od_b_b @ SV172 @ ( sK55_SY538 @ SV70 @ SV194 @ SV172 @ SV131 ) ) )
| ( SV194
!= ( insert1952693431od_b_b @ SV70 @ ( sK55_SY538 @ SV70 @ SV194 @ SV172 @ SV131 ) ) ) )
= $false )
| ( ( SV70 = SV172 )
= $true )
| ( ( SV70 = SV172 )
= $true )
| ( ( SV70 = SV172 )
= $false )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1839]) ).
thf(1846,plain,
! [SV131: set_Product_prod_b_b,SV172: product_prod_b_b,SV194: set_Product_prod_b_b,SV70: product_prod_b_b] :
( ( ( member1285940496od_b_b @ SV70 @ ( sK55_SY538 @ SV70 @ SV194 @ SV172 @ SV131 ) )
= $false )
| ( ( SV70 = SV172 )
= $true )
| ( ( SV70 = SV172 )
= $true )
| ( ( SV70 = SV172 )
= $false )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1840]) ).
thf(1847,plain,
! [SV241: set_Product_prod_b_b,SV194: set_Product_prod_b_b,SV172: product_prod_b_b,SV131: set_Product_prod_b_b,SV70: product_prod_b_b] :
( ( ( ( ( insert1952693431od_b_b @ SV70 @ SV131 )
!= ( insert1952693431od_b_b @ SV172 @ SV194 ) )
| ~ ~ ( ~ ( ( SV70 != SV172 )
| ( SV131 = SV194 ) )
| ~ ( ~ ( ( SV70 != SV172 ) )
| ~ ! [SY538: set_Product_prod_b_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV131
!= ( insert1952693431od_b_b @ SV172 @ SY538 ) )
| ~ ~ ( member1285940496od_b_b @ SV172 @ SY538 ) )
| ( SV194
!= ( insert1952693431od_b_b @ SV70 @ SY538 ) ) )
| ~ ~ ( member1285940496od_b_b @ SV70 @ SY538 ) ) ) ) )
= $false )
| ( ( SV70 = SV172 )
= $true )
| ( ( SV194
= ( insert1952693431od_b_b @ SV70 @ SV241 ) )
= $false )
| ( ( SV131
= ( insert1952693431od_b_b @ SV172 @ SV241 ) )
= $false )
| ( ( member1285940496od_b_b @ SV172 @ SV241 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV241 )
= $true )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1841]) ).
thf(1848,plain,
! [SV194: set_Product_prod_b_b,SV70: product_prod_b_b,SV172: product_prod_b_b,SV131: set_Product_prod_b_b] :
( ( ( ~ ~ ( ( SV131
!= ( insert1952693431od_b_b @ SV172 @ ( sK54_SY538 @ SV70 @ SV194 @ SV172 @ SV131 ) ) )
| ~ ~ ( member1285940496od_b_b @ SV172 @ ( sK54_SY538 @ SV70 @ SV194 @ SV172 @ SV131 ) ) ) )
= $false )
| ( ( SV70 = SV172 )
= $true )
| ( ( SV131 = SV194 )
= $false )
| ( ( SV70 = SV172 )
= $false )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1842]) ).
thf(1849,plain,
! [SV131: set_Product_prod_b_b,SV172: product_prod_b_b,SV70: product_prod_b_b,SV194: set_Product_prod_b_b] :
( ( ( SV194
!= ( insert1952693431od_b_b @ SV70 @ ( sK54_SY538 @ SV70 @ SV194 @ SV172 @ SV131 ) ) )
= $false )
| ( ( SV70 = SV172 )
= $true )
| ( ( SV131 = SV194 )
= $false )
| ( ( SV70 = SV172 )
= $false )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1842]) ).
thf(1850,plain,
! [SV240: set_Product_prod_b_b,SV194: set_Product_prod_b_b,SV172: product_prod_b_b,SV131: set_Product_prod_b_b,SV70: product_prod_b_b] :
( ( ( ( insert1952693431od_b_b @ SV70 @ SV131 )
!= ( insert1952693431od_b_b @ SV172 @ SV194 ) )
= $false )
| ( ( SV131 = SV194 )
= $false )
| ( ( SV194
= ( insert1952693431od_b_b @ SV70 @ SV240 ) )
= $false )
| ( ( SV131
= ( insert1952693431od_b_b @ SV172 @ SV240 ) )
= $false )
| ( ( member1285940496od_b_b @ SV172 @ SV240 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV240 )
= $true )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1844]) ).
thf(1851,plain,
! [SV240: set_Product_prod_b_b,SV194: set_Product_prod_b_b,SV131: set_Product_prod_b_b,SV172: product_prod_b_b,SV70: product_prod_b_b] :
( ( ( ~ ~ ( ~ ( ( SV70 != SV172 )
| ( SV131 = SV194 ) )
| ~ ( ~ ( ( SV70 != SV172 ) )
| ~ ! [SY538: set_Product_prod_b_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV131
!= ( insert1952693431od_b_b @ SV172 @ SY538 ) )
| ~ ~ ( member1285940496od_b_b @ SV172 @ SY538 ) )
| ( SV194
!= ( insert1952693431od_b_b @ SV70 @ SY538 ) ) )
| ~ ~ ( member1285940496od_b_b @ SV70 @ SY538 ) ) ) ) )
= $false )
| ( ( SV131 = SV194 )
= $false )
| ( ( SV194
= ( insert1952693431od_b_b @ SV70 @ SV240 ) )
= $false )
| ( ( SV131
= ( insert1952693431od_b_b @ SV172 @ SV240 ) )
= $false )
| ( ( member1285940496od_b_b @ SV172 @ SV240 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV240 )
= $true )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1844]) ).
thf(1852,plain,
! [SV194: set_Product_prod_b_b,SV70: product_prod_b_b,SV172: product_prod_b_b,SV131: set_Product_prod_b_b] :
( ( ( ~ ~ ( ( SV131
!= ( insert1952693431od_b_b @ SV172 @ ( sK55_SY538 @ SV70 @ SV194 @ SV172 @ SV131 ) ) )
| ~ ~ ( member1285940496od_b_b @ SV172 @ ( sK55_SY538 @ SV70 @ SV194 @ SV172 @ SV131 ) ) ) )
= $false )
| ( ( SV70 = SV172 )
= $true )
| ( ( SV70 = SV172 )
= $true )
| ( ( SV70 = SV172 )
= $false )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1845]) ).
thf(1853,plain,
! [SV131: set_Product_prod_b_b,SV172: product_prod_b_b,SV70: product_prod_b_b,SV194: set_Product_prod_b_b] :
( ( ( SV194
!= ( insert1952693431od_b_b @ SV70 @ ( sK55_SY538 @ SV70 @ SV194 @ SV172 @ SV131 ) ) )
= $false )
| ( ( SV70 = SV172 )
= $true )
| ( ( SV70 = SV172 )
= $true )
| ( ( SV70 = SV172 )
= $false )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1845]) ).
thf(1854,plain,
! [SV241: set_Product_prod_b_b,SV194: set_Product_prod_b_b,SV172: product_prod_b_b,SV131: set_Product_prod_b_b,SV70: product_prod_b_b] :
( ( ( ( insert1952693431od_b_b @ SV70 @ SV131 )
!= ( insert1952693431od_b_b @ SV172 @ SV194 ) )
= $false )
| ( ( SV70 = SV172 )
= $true )
| ( ( SV194
= ( insert1952693431od_b_b @ SV70 @ SV241 ) )
= $false )
| ( ( SV131
= ( insert1952693431od_b_b @ SV172 @ SV241 ) )
= $false )
| ( ( member1285940496od_b_b @ SV172 @ SV241 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV241 )
= $true )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1847]) ).
thf(1855,plain,
! [SV241: set_Product_prod_b_b,SV194: set_Product_prod_b_b,SV131: set_Product_prod_b_b,SV172: product_prod_b_b,SV70: product_prod_b_b] :
( ( ( ~ ~ ( ~ ( ( SV70 != SV172 )
| ( SV131 = SV194 ) )
| ~ ( ~ ( ( SV70 != SV172 ) )
| ~ ! [SY538: set_Product_prod_b_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV131
!= ( insert1952693431od_b_b @ SV172 @ SY538 ) )
| ~ ~ ( member1285940496od_b_b @ SV172 @ SY538 ) )
| ( SV194
!= ( insert1952693431od_b_b @ SV70 @ SY538 ) ) )
| ~ ~ ( member1285940496od_b_b @ SV70 @ SY538 ) ) ) ) )
= $false )
| ( ( SV70 = SV172 )
= $true )
| ( ( SV194
= ( insert1952693431od_b_b @ SV70 @ SV241 ) )
= $false )
| ( ( SV131
= ( insert1952693431od_b_b @ SV172 @ SV241 ) )
= $false )
| ( ( member1285940496od_b_b @ SV172 @ SV241 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV241 )
= $true )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1847]) ).
thf(1856,plain,
! [SV194: set_Product_prod_b_b,SV70: product_prod_b_b,SV172: product_prod_b_b,SV131: set_Product_prod_b_b] :
( ( ( ~ ( ( SV131
!= ( insert1952693431od_b_b @ SV172 @ ( sK54_SY538 @ SV70 @ SV194 @ SV172 @ SV131 ) ) )
| ~ ~ ( member1285940496od_b_b @ SV172 @ ( sK54_SY538 @ SV70 @ SV194 @ SV172 @ SV131 ) ) ) )
= $true )
| ( ( SV70 = SV172 )
= $true )
| ( ( SV131 = SV194 )
= $false )
| ( ( SV70 = SV172 )
= $false )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1848]) ).
thf(1857,plain,
! [SV131: set_Product_prod_b_b,SV172: product_prod_b_b,SV70: product_prod_b_b,SV194: set_Product_prod_b_b] :
( ( ( SV194
= ( insert1952693431od_b_b @ SV70 @ ( sK54_SY538 @ SV70 @ SV194 @ SV172 @ SV131 ) ) )
= $true )
| ( ( SV70 = SV172 )
= $true )
| ( ( SV131 = SV194 )
= $false )
| ( ( SV70 = SV172 )
= $false )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1849]) ).
thf(1858,plain,
! [SV240: set_Product_prod_b_b,SV194: set_Product_prod_b_b,SV172: product_prod_b_b,SV131: set_Product_prod_b_b,SV70: product_prod_b_b] :
( ( ( ( insert1952693431od_b_b @ SV70 @ SV131 )
= ( insert1952693431od_b_b @ SV172 @ SV194 ) )
= $true )
| ( ( SV131 = SV194 )
= $false )
| ( ( SV194
= ( insert1952693431od_b_b @ SV70 @ SV240 ) )
= $false )
| ( ( SV131
= ( insert1952693431od_b_b @ SV172 @ SV240 ) )
= $false )
| ( ( member1285940496od_b_b @ SV172 @ SV240 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV240 )
= $true )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1850]) ).
thf(1859,plain,
! [SV240: set_Product_prod_b_b,SV194: set_Product_prod_b_b,SV131: set_Product_prod_b_b,SV172: product_prod_b_b,SV70: product_prod_b_b] :
( ( ( ~ ( ~ ( ( SV70 != SV172 )
| ( SV131 = SV194 ) )
| ~ ( ~ ( ( SV70 != SV172 ) )
| ~ ! [SY538: set_Product_prod_b_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV131
!= ( insert1952693431od_b_b @ SV172 @ SY538 ) )
| ~ ~ ( member1285940496od_b_b @ SV172 @ SY538 ) )
| ( SV194
!= ( insert1952693431od_b_b @ SV70 @ SY538 ) ) )
| ~ ~ ( member1285940496od_b_b @ SV70 @ SY538 ) ) ) ) )
= $true )
| ( ( SV131 = SV194 )
= $false )
| ( ( SV194
= ( insert1952693431od_b_b @ SV70 @ SV240 ) )
= $false )
| ( ( SV131
= ( insert1952693431od_b_b @ SV172 @ SV240 ) )
= $false )
| ( ( member1285940496od_b_b @ SV172 @ SV240 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV240 )
= $true )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1851]) ).
thf(1860,plain,
! [SV194: set_Product_prod_b_b,SV70: product_prod_b_b,SV172: product_prod_b_b,SV131: set_Product_prod_b_b] :
( ( ( ~ ( ( SV131
!= ( insert1952693431od_b_b @ SV172 @ ( sK55_SY538 @ SV70 @ SV194 @ SV172 @ SV131 ) ) )
| ~ ~ ( member1285940496od_b_b @ SV172 @ ( sK55_SY538 @ SV70 @ SV194 @ SV172 @ SV131 ) ) ) )
= $true )
| ( ( SV70 = SV172 )
= $true )
| ( ( SV70 = SV172 )
= $true )
| ( ( SV70 = SV172 )
= $false )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1852]) ).
thf(1861,plain,
! [SV131: set_Product_prod_b_b,SV172: product_prod_b_b,SV70: product_prod_b_b,SV194: set_Product_prod_b_b] :
( ( ( SV194
= ( insert1952693431od_b_b @ SV70 @ ( sK55_SY538 @ SV70 @ SV194 @ SV172 @ SV131 ) ) )
= $true )
| ( ( SV70 = SV172 )
= $true )
| ( ( SV70 = SV172 )
= $true )
| ( ( SV70 = SV172 )
= $false )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1853]) ).
thf(1862,plain,
! [SV241: set_Product_prod_b_b,SV194: set_Product_prod_b_b,SV172: product_prod_b_b,SV131: set_Product_prod_b_b,SV70: product_prod_b_b] :
( ( ( ( insert1952693431od_b_b @ SV70 @ SV131 )
= ( insert1952693431od_b_b @ SV172 @ SV194 ) )
= $true )
| ( ( SV70 = SV172 )
= $true )
| ( ( SV194
= ( insert1952693431od_b_b @ SV70 @ SV241 ) )
= $false )
| ( ( SV131
= ( insert1952693431od_b_b @ SV172 @ SV241 ) )
= $false )
| ( ( member1285940496od_b_b @ SV172 @ SV241 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV241 )
= $true )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1854]) ).
thf(1863,plain,
! [SV241: set_Product_prod_b_b,SV194: set_Product_prod_b_b,SV131: set_Product_prod_b_b,SV172: product_prod_b_b,SV70: product_prod_b_b] :
( ( ( ~ ( ~ ( ( SV70 != SV172 )
| ( SV131 = SV194 ) )
| ~ ( ~ ( ( SV70 != SV172 ) )
| ~ ! [SY538: set_Product_prod_b_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV131
!= ( insert1952693431od_b_b @ SV172 @ SY538 ) )
| ~ ~ ( member1285940496od_b_b @ SV172 @ SY538 ) )
| ( SV194
!= ( insert1952693431od_b_b @ SV70 @ SY538 ) ) )
| ~ ~ ( member1285940496od_b_b @ SV70 @ SY538 ) ) ) ) )
= $true )
| ( ( SV70 = SV172 )
= $true )
| ( ( SV194
= ( insert1952693431od_b_b @ SV70 @ SV241 ) )
= $false )
| ( ( SV131
= ( insert1952693431od_b_b @ SV172 @ SV241 ) )
= $false )
| ( ( member1285940496od_b_b @ SV172 @ SV241 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV241 )
= $true )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1855]) ).
thf(1864,plain,
! [SV194: set_Product_prod_b_b,SV70: product_prod_b_b,SV172: product_prod_b_b,SV131: set_Product_prod_b_b] :
( ( ( ( SV131
!= ( insert1952693431od_b_b @ SV172 @ ( sK54_SY538 @ SV70 @ SV194 @ SV172 @ SV131 ) ) )
| ~ ~ ( member1285940496od_b_b @ SV172 @ ( sK54_SY538 @ SV70 @ SV194 @ SV172 @ SV131 ) ) )
= $false )
| ( ( SV70 = SV172 )
= $true )
| ( ( SV131 = SV194 )
= $false )
| ( ( SV70 = SV172 )
= $false )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1856]) ).
thf(1865,plain,
! [SV240: set_Product_prod_b_b,SV194: set_Product_prod_b_b,SV131: set_Product_prod_b_b,SV172: product_prod_b_b,SV70: product_prod_b_b] :
( ( ( ~ ( ( SV70 != SV172 )
| ( SV131 = SV194 ) )
| ~ ( ~ ( ( SV70 != SV172 ) )
| ~ ! [SY538: set_Product_prod_b_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV131
!= ( insert1952693431od_b_b @ SV172 @ SY538 ) )
| ~ ~ ( member1285940496od_b_b @ SV172 @ SY538 ) )
| ( SV194
!= ( insert1952693431od_b_b @ SV70 @ SY538 ) ) )
| ~ ~ ( member1285940496od_b_b @ SV70 @ SY538 ) ) ) )
= $false )
| ( ( SV131 = SV194 )
= $false )
| ( ( SV194
= ( insert1952693431od_b_b @ SV70 @ SV240 ) )
= $false )
| ( ( SV131
= ( insert1952693431od_b_b @ SV172 @ SV240 ) )
= $false )
| ( ( member1285940496od_b_b @ SV172 @ SV240 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV240 )
= $true )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1859]) ).
thf(1866,plain,
! [SV194: set_Product_prod_b_b,SV70: product_prod_b_b,SV172: product_prod_b_b,SV131: set_Product_prod_b_b] :
( ( ( ( SV131
!= ( insert1952693431od_b_b @ SV172 @ ( sK55_SY538 @ SV70 @ SV194 @ SV172 @ SV131 ) ) )
| ~ ~ ( member1285940496od_b_b @ SV172 @ ( sK55_SY538 @ SV70 @ SV194 @ SV172 @ SV131 ) ) )
= $false )
| ( ( SV70 = SV172 )
= $true )
| ( ( SV70 = SV172 )
= $true )
| ( ( SV70 = SV172 )
= $false )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1860]) ).
thf(1867,plain,
! [SV241: set_Product_prod_b_b,SV194: set_Product_prod_b_b,SV131: set_Product_prod_b_b,SV172: product_prod_b_b,SV70: product_prod_b_b] :
( ( ( ~ ( ( SV70 != SV172 )
| ( SV131 = SV194 ) )
| ~ ( ~ ( ( SV70 != SV172 ) )
| ~ ! [SY538: set_Product_prod_b_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV131
!= ( insert1952693431od_b_b @ SV172 @ SY538 ) )
| ~ ~ ( member1285940496od_b_b @ SV172 @ SY538 ) )
| ( SV194
!= ( insert1952693431od_b_b @ SV70 @ SY538 ) ) )
| ~ ~ ( member1285940496od_b_b @ SV70 @ SY538 ) ) ) )
= $false )
| ( ( SV70 = SV172 )
= $true )
| ( ( SV194
= ( insert1952693431od_b_b @ SV70 @ SV241 ) )
= $false )
| ( ( SV131
= ( insert1952693431od_b_b @ SV172 @ SV241 ) )
= $false )
| ( ( member1285940496od_b_b @ SV172 @ SV241 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV241 )
= $true )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1863]) ).
thf(1868,plain,
! [SV194: set_Product_prod_b_b,SV70: product_prod_b_b,SV172: product_prod_b_b,SV131: set_Product_prod_b_b] :
( ( ( SV131
!= ( insert1952693431od_b_b @ SV172 @ ( sK54_SY538 @ SV70 @ SV194 @ SV172 @ SV131 ) ) )
= $false )
| ( ( SV70 = SV172 )
= $true )
| ( ( SV131 = SV194 )
= $false )
| ( ( SV70 = SV172 )
= $false )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1864]) ).
thf(1869,plain,
! [SV131: set_Product_prod_b_b,SV194: set_Product_prod_b_b,SV70: product_prod_b_b,SV172: product_prod_b_b] :
( ( ( ~ ~ ( member1285940496od_b_b @ SV172 @ ( sK54_SY538 @ SV70 @ SV194 @ SV172 @ SV131 ) ) )
= $false )
| ( ( SV70 = SV172 )
= $true )
| ( ( SV131 = SV194 )
= $false )
| ( ( SV70 = SV172 )
= $false )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1864]) ).
thf(1870,plain,
! [SV240: set_Product_prod_b_b,SV194: set_Product_prod_b_b,SV131: set_Product_prod_b_b,SV172: product_prod_b_b,SV70: product_prod_b_b] :
( ( ( ~ ( ( SV70 != SV172 )
| ( SV131 = SV194 ) ) )
= $false )
| ( ( SV131 = SV194 )
= $false )
| ( ( SV194
= ( insert1952693431od_b_b @ SV70 @ SV240 ) )
= $false )
| ( ( SV131
= ( insert1952693431od_b_b @ SV172 @ SV240 ) )
= $false )
| ( ( member1285940496od_b_b @ SV172 @ SV240 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV240 )
= $true )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1865]) ).
thf(1871,plain,
! [SV240: set_Product_prod_b_b,SV194: set_Product_prod_b_b,SV131: set_Product_prod_b_b,SV172: product_prod_b_b,SV70: product_prod_b_b] :
( ( ( ~ ( ~ ( ( SV70 != SV172 ) )
| ~ ! [SY538: set_Product_prod_b_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV131
!= ( insert1952693431od_b_b @ SV172 @ SY538 ) )
| ~ ~ ( member1285940496od_b_b @ SV172 @ SY538 ) )
| ( SV194
!= ( insert1952693431od_b_b @ SV70 @ SY538 ) ) )
| ~ ~ ( member1285940496od_b_b @ SV70 @ SY538 ) ) ) )
= $false )
| ( ( SV131 = SV194 )
= $false )
| ( ( SV194
= ( insert1952693431od_b_b @ SV70 @ SV240 ) )
= $false )
| ( ( SV131
= ( insert1952693431od_b_b @ SV172 @ SV240 ) )
= $false )
| ( ( member1285940496od_b_b @ SV172 @ SV240 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV240 )
= $true )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1865]) ).
thf(1872,plain,
! [SV194: set_Product_prod_b_b,SV70: product_prod_b_b,SV172: product_prod_b_b,SV131: set_Product_prod_b_b] :
( ( ( SV131
!= ( insert1952693431od_b_b @ SV172 @ ( sK55_SY538 @ SV70 @ SV194 @ SV172 @ SV131 ) ) )
= $false )
| ( ( SV70 = SV172 )
= $true )
| ( ( SV70 = SV172 )
= $true )
| ( ( SV70 = SV172 )
= $false )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1866]) ).
thf(1873,plain,
! [SV131: set_Product_prod_b_b,SV194: set_Product_prod_b_b,SV70: product_prod_b_b,SV172: product_prod_b_b] :
( ( ( ~ ~ ( member1285940496od_b_b @ SV172 @ ( sK55_SY538 @ SV70 @ SV194 @ SV172 @ SV131 ) ) )
= $false )
| ( ( SV70 = SV172 )
= $true )
| ( ( SV70 = SV172 )
= $true )
| ( ( SV70 = SV172 )
= $false )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1866]) ).
thf(1874,plain,
! [SV241: set_Product_prod_b_b,SV194: set_Product_prod_b_b,SV131: set_Product_prod_b_b,SV172: product_prod_b_b,SV70: product_prod_b_b] :
( ( ( ~ ( ( SV70 != SV172 )
| ( SV131 = SV194 ) ) )
= $false )
| ( ( SV70 = SV172 )
= $true )
| ( ( SV194
= ( insert1952693431od_b_b @ SV70 @ SV241 ) )
= $false )
| ( ( SV131
= ( insert1952693431od_b_b @ SV172 @ SV241 ) )
= $false )
| ( ( member1285940496od_b_b @ SV172 @ SV241 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV241 )
= $true )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1867]) ).
thf(1875,plain,
! [SV241: set_Product_prod_b_b,SV194: set_Product_prod_b_b,SV131: set_Product_prod_b_b,SV172: product_prod_b_b,SV70: product_prod_b_b] :
( ( ( ~ ( ~ ( ( SV70 != SV172 ) )
| ~ ! [SY538: set_Product_prod_b_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV131
!= ( insert1952693431od_b_b @ SV172 @ SY538 ) )
| ~ ~ ( member1285940496od_b_b @ SV172 @ SY538 ) )
| ( SV194
!= ( insert1952693431od_b_b @ SV70 @ SY538 ) ) )
| ~ ~ ( member1285940496od_b_b @ SV70 @ SY538 ) ) ) )
= $false )
| ( ( SV70 = SV172 )
= $true )
| ( ( SV194
= ( insert1952693431od_b_b @ SV70 @ SV241 ) )
= $false )
| ( ( SV131
= ( insert1952693431od_b_b @ SV172 @ SV241 ) )
= $false )
| ( ( member1285940496od_b_b @ SV172 @ SV241 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV241 )
= $true )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1867]) ).
thf(1876,plain,
! [SV194: set_Product_prod_b_b,SV70: product_prod_b_b,SV172: product_prod_b_b,SV131: set_Product_prod_b_b] :
( ( ( SV131
= ( insert1952693431od_b_b @ SV172 @ ( sK54_SY538 @ SV70 @ SV194 @ SV172 @ SV131 ) ) )
= $true )
| ( ( SV70 = SV172 )
= $true )
| ( ( SV131 = SV194 )
= $false )
| ( ( SV70 = SV172 )
= $false )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1868]) ).
thf(1877,plain,
! [SV131: set_Product_prod_b_b,SV194: set_Product_prod_b_b,SV70: product_prod_b_b,SV172: product_prod_b_b] :
( ( ( ~ ( member1285940496od_b_b @ SV172 @ ( sK54_SY538 @ SV70 @ SV194 @ SV172 @ SV131 ) ) )
= $true )
| ( ( SV70 = SV172 )
= $true )
| ( ( SV131 = SV194 )
= $false )
| ( ( SV70 = SV172 )
= $false )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1869]) ).
thf(1878,plain,
! [SV240: set_Product_prod_b_b,SV194: set_Product_prod_b_b,SV131: set_Product_prod_b_b,SV172: product_prod_b_b,SV70: product_prod_b_b] :
( ( ( ( SV70 != SV172 )
| ( SV131 = SV194 ) )
= $true )
| ( ( SV131 = SV194 )
= $false )
| ( ( SV194
= ( insert1952693431od_b_b @ SV70 @ SV240 ) )
= $false )
| ( ( SV131
= ( insert1952693431od_b_b @ SV172 @ SV240 ) )
= $false )
| ( ( member1285940496od_b_b @ SV172 @ SV240 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV240 )
= $true )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1870]) ).
thf(1879,plain,
! [SV240: set_Product_prod_b_b,SV194: set_Product_prod_b_b,SV131: set_Product_prod_b_b,SV172: product_prod_b_b,SV70: product_prod_b_b] :
( ( ( ~ ( ( SV70 != SV172 ) )
| ~ ! [SY538: set_Product_prod_b_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV131
!= ( insert1952693431od_b_b @ SV172 @ SY538 ) )
| ~ ~ ( member1285940496od_b_b @ SV172 @ SY538 ) )
| ( SV194
!= ( insert1952693431od_b_b @ SV70 @ SY538 ) ) )
| ~ ~ ( member1285940496od_b_b @ SV70 @ SY538 ) ) )
= $true )
| ( ( SV131 = SV194 )
= $false )
| ( ( SV194
= ( insert1952693431od_b_b @ SV70 @ SV240 ) )
= $false )
| ( ( SV131
= ( insert1952693431od_b_b @ SV172 @ SV240 ) )
= $false )
| ( ( member1285940496od_b_b @ SV172 @ SV240 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV240 )
= $true )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1871]) ).
thf(1880,plain,
! [SV194: set_Product_prod_b_b,SV70: product_prod_b_b,SV172: product_prod_b_b,SV131: set_Product_prod_b_b] :
( ( ( SV131
= ( insert1952693431od_b_b @ SV172 @ ( sK55_SY538 @ SV70 @ SV194 @ SV172 @ SV131 ) ) )
= $true )
| ( ( SV70 = SV172 )
= $true )
| ( ( SV70 = SV172 )
= $true )
| ( ( SV70 = SV172 )
= $false )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1872]) ).
thf(1881,plain,
! [SV131: set_Product_prod_b_b,SV194: set_Product_prod_b_b,SV70: product_prod_b_b,SV172: product_prod_b_b] :
( ( ( ~ ( member1285940496od_b_b @ SV172 @ ( sK55_SY538 @ SV70 @ SV194 @ SV172 @ SV131 ) ) )
= $true )
| ( ( SV70 = SV172 )
= $true )
| ( ( SV70 = SV172 )
= $true )
| ( ( SV70 = SV172 )
= $false )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1873]) ).
thf(1882,plain,
! [SV241: set_Product_prod_b_b,SV194: set_Product_prod_b_b,SV131: set_Product_prod_b_b,SV172: product_prod_b_b,SV70: product_prod_b_b] :
( ( ( ( SV70 != SV172 )
| ( SV131 = SV194 ) )
= $true )
| ( ( SV70 = SV172 )
= $true )
| ( ( SV194
= ( insert1952693431od_b_b @ SV70 @ SV241 ) )
= $false )
| ( ( SV131
= ( insert1952693431od_b_b @ SV172 @ SV241 ) )
= $false )
| ( ( member1285940496od_b_b @ SV172 @ SV241 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV241 )
= $true )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1874]) ).
thf(1883,plain,
! [SV241: set_Product_prod_b_b,SV194: set_Product_prod_b_b,SV131: set_Product_prod_b_b,SV172: product_prod_b_b,SV70: product_prod_b_b] :
( ( ( ~ ( ( SV70 != SV172 ) )
| ~ ! [SY538: set_Product_prod_b_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV131
!= ( insert1952693431od_b_b @ SV172 @ SY538 ) )
| ~ ~ ( member1285940496od_b_b @ SV172 @ SY538 ) )
| ( SV194
!= ( insert1952693431od_b_b @ SV70 @ SY538 ) ) )
| ~ ~ ( member1285940496od_b_b @ SV70 @ SY538 ) ) )
= $true )
| ( ( SV70 = SV172 )
= $true )
| ( ( SV194
= ( insert1952693431od_b_b @ SV70 @ SV241 ) )
= $false )
| ( ( SV131
= ( insert1952693431od_b_b @ SV172 @ SV241 ) )
= $false )
| ( ( member1285940496od_b_b @ SV172 @ SV241 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV241 )
= $true )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1875]) ).
thf(1884,plain,
! [SV131: set_Product_prod_b_b,SV194: set_Product_prod_b_b,SV70: product_prod_b_b,SV172: product_prod_b_b] :
( ( ( member1285940496od_b_b @ SV172 @ ( sK54_SY538 @ SV70 @ SV194 @ SV172 @ SV131 ) )
= $false )
| ( ( SV70 = SV172 )
= $true )
| ( ( SV131 = SV194 )
= $false )
| ( ( SV70 = SV172 )
= $false )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1877]) ).
thf(1885,plain,
! [SV240: set_Product_prod_b_b,SV194: set_Product_prod_b_b,SV131: set_Product_prod_b_b,SV172: product_prod_b_b,SV70: product_prod_b_b] :
( ( ( SV70 != SV172 )
= $true )
| ( ( SV131 = SV194 )
= $true )
| ( ( SV131 = SV194 )
= $false )
| ( ( SV194
= ( insert1952693431od_b_b @ SV70 @ SV240 ) )
= $false )
| ( ( SV131
= ( insert1952693431od_b_b @ SV172 @ SV240 ) )
= $false )
| ( ( member1285940496od_b_b @ SV172 @ SV240 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV240 )
= $true )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1878]) ).
thf(1886,plain,
! [SV240: set_Product_prod_b_b,SV194: set_Product_prod_b_b,SV131: set_Product_prod_b_b,SV172: product_prod_b_b,SV70: product_prod_b_b] :
( ( ( ~ ( ( SV70 != SV172 ) ) )
= $true )
| ( ( ~ ! [SY538: set_Product_prod_b_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV131
!= ( insert1952693431od_b_b @ SV172 @ SY538 ) )
| ~ ~ ( member1285940496od_b_b @ SV172 @ SY538 ) )
| ( SV194
!= ( insert1952693431od_b_b @ SV70 @ SY538 ) ) )
| ~ ~ ( member1285940496od_b_b @ SV70 @ SY538 ) ) )
= $true )
| ( ( SV131 = SV194 )
= $false )
| ( ( SV194
= ( insert1952693431od_b_b @ SV70 @ SV240 ) )
= $false )
| ( ( SV131
= ( insert1952693431od_b_b @ SV172 @ SV240 ) )
= $false )
| ( ( member1285940496od_b_b @ SV172 @ SV240 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV240 )
= $true )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1879]) ).
thf(1887,plain,
! [SV131: set_Product_prod_b_b,SV194: set_Product_prod_b_b,SV70: product_prod_b_b,SV172: product_prod_b_b] :
( ( ( member1285940496od_b_b @ SV172 @ ( sK55_SY538 @ SV70 @ SV194 @ SV172 @ SV131 ) )
= $false )
| ( ( SV70 = SV172 )
= $true )
| ( ( SV70 = SV172 )
= $true )
| ( ( SV70 = SV172 )
= $false )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1881]) ).
thf(1888,plain,
! [SV241: set_Product_prod_b_b,SV194: set_Product_prod_b_b,SV131: set_Product_prod_b_b,SV172: product_prod_b_b,SV70: product_prod_b_b] :
( ( ( SV70 != SV172 )
= $true )
| ( ( SV131 = SV194 )
= $true )
| ( ( SV70 = SV172 )
= $true )
| ( ( SV194
= ( insert1952693431od_b_b @ SV70 @ SV241 ) )
= $false )
| ( ( SV131
= ( insert1952693431od_b_b @ SV172 @ SV241 ) )
= $false )
| ( ( member1285940496od_b_b @ SV172 @ SV241 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV241 )
= $true )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1882]) ).
thf(1889,plain,
! [SV241: set_Product_prod_b_b,SV194: set_Product_prod_b_b,SV131: set_Product_prod_b_b,SV172: product_prod_b_b,SV70: product_prod_b_b] :
( ( ( ~ ( ( SV70 != SV172 ) ) )
= $true )
| ( ( ~ ! [SY538: set_Product_prod_b_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV131
!= ( insert1952693431od_b_b @ SV172 @ SY538 ) )
| ~ ~ ( member1285940496od_b_b @ SV172 @ SY538 ) )
| ( SV194
!= ( insert1952693431od_b_b @ SV70 @ SY538 ) ) )
| ~ ~ ( member1285940496od_b_b @ SV70 @ SY538 ) ) )
= $true )
| ( ( SV70 = SV172 )
= $true )
| ( ( SV194
= ( insert1952693431od_b_b @ SV70 @ SV241 ) )
= $false )
| ( ( SV131
= ( insert1952693431od_b_b @ SV172 @ SV241 ) )
= $false )
| ( ( member1285940496od_b_b @ SV172 @ SV241 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV241 )
= $true )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1883]) ).
thf(1890,plain,
! [SV240: set_Product_prod_b_b,SV194: set_Product_prod_b_b,SV131: set_Product_prod_b_b,SV172: product_prod_b_b,SV70: product_prod_b_b] :
( ( ( SV70 = SV172 )
= $false )
| ( ( SV131 = SV194 )
= $true )
| ( ( SV131 = SV194 )
= $false )
| ( ( SV194
= ( insert1952693431od_b_b @ SV70 @ SV240 ) )
= $false )
| ( ( SV131
= ( insert1952693431od_b_b @ SV172 @ SV240 ) )
= $false )
| ( ( member1285940496od_b_b @ SV172 @ SV240 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV240 )
= $true )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1885]) ).
thf(1891,plain,
! [SV240: set_Product_prod_b_b,SV194: set_Product_prod_b_b,SV131: set_Product_prod_b_b,SV172: product_prod_b_b,SV70: product_prod_b_b] :
( ( ( SV70 != SV172 )
= $false )
| ( ( ~ ! [SY538: set_Product_prod_b_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV131
!= ( insert1952693431od_b_b @ SV172 @ SY538 ) )
| ~ ~ ( member1285940496od_b_b @ SV172 @ SY538 ) )
| ( SV194
!= ( insert1952693431od_b_b @ SV70 @ SY538 ) ) )
| ~ ~ ( member1285940496od_b_b @ SV70 @ SY538 ) ) )
= $true )
| ( ( SV131 = SV194 )
= $false )
| ( ( SV194
= ( insert1952693431od_b_b @ SV70 @ SV240 ) )
= $false )
| ( ( SV131
= ( insert1952693431od_b_b @ SV172 @ SV240 ) )
= $false )
| ( ( member1285940496od_b_b @ SV172 @ SV240 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV240 )
= $true )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1886]) ).
thf(1892,plain,
! [SV241: set_Product_prod_b_b,SV194: set_Product_prod_b_b,SV131: set_Product_prod_b_b,SV172: product_prod_b_b,SV70: product_prod_b_b] :
( ( ( SV70 = SV172 )
= $false )
| ( ( SV131 = SV194 )
= $true )
| ( ( SV70 = SV172 )
= $true )
| ( ( SV194
= ( insert1952693431od_b_b @ SV70 @ SV241 ) )
= $false )
| ( ( SV131
= ( insert1952693431od_b_b @ SV172 @ SV241 ) )
= $false )
| ( ( member1285940496od_b_b @ SV172 @ SV241 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV241 )
= $true )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1888]) ).
thf(1893,plain,
! [SV241: set_Product_prod_b_b,SV194: set_Product_prod_b_b,SV131: set_Product_prod_b_b,SV172: product_prod_b_b,SV70: product_prod_b_b] :
( ( ( SV70 != SV172 )
= $false )
| ( ( ~ ! [SY538: set_Product_prod_b_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV131
!= ( insert1952693431od_b_b @ SV172 @ SY538 ) )
| ~ ~ ( member1285940496od_b_b @ SV172 @ SY538 ) )
| ( SV194
!= ( insert1952693431od_b_b @ SV70 @ SY538 ) ) )
| ~ ~ ( member1285940496od_b_b @ SV70 @ SY538 ) ) )
= $true )
| ( ( SV70 = SV172 )
= $true )
| ( ( SV194
= ( insert1952693431od_b_b @ SV70 @ SV241 ) )
= $false )
| ( ( SV131
= ( insert1952693431od_b_b @ SV172 @ SV241 ) )
= $false )
| ( ( member1285940496od_b_b @ SV172 @ SV241 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV241 )
= $true )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1889]) ).
thf(1894,plain,
! [SV240: set_Product_prod_b_b,SV194: set_Product_prod_b_b,SV131: set_Product_prod_b_b,SV172: product_prod_b_b,SV70: product_prod_b_b] :
( ( ( SV70 = SV172 )
= $true )
| ( ( ~ ! [SY538: set_Product_prod_b_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV131
!= ( insert1952693431od_b_b @ SV172 @ SY538 ) )
| ~ ~ ( member1285940496od_b_b @ SV172 @ SY538 ) )
| ( SV194
!= ( insert1952693431od_b_b @ SV70 @ SY538 ) ) )
| ~ ~ ( member1285940496od_b_b @ SV70 @ SY538 ) ) )
= $true )
| ( ( SV131 = SV194 )
= $false )
| ( ( SV194
= ( insert1952693431od_b_b @ SV70 @ SV240 ) )
= $false )
| ( ( SV131
= ( insert1952693431od_b_b @ SV172 @ SV240 ) )
= $false )
| ( ( member1285940496od_b_b @ SV172 @ SV240 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV240 )
= $true )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1891]) ).
thf(1895,plain,
! [SV241: set_Product_prod_b_b,SV194: set_Product_prod_b_b,SV131: set_Product_prod_b_b,SV172: product_prod_b_b,SV70: product_prod_b_b] :
( ( ( SV70 = SV172 )
= $true )
| ( ( ~ ! [SY538: set_Product_prod_b_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV131
!= ( insert1952693431od_b_b @ SV172 @ SY538 ) )
| ~ ~ ( member1285940496od_b_b @ SV172 @ SY538 ) )
| ( SV194
!= ( insert1952693431od_b_b @ SV70 @ SY538 ) ) )
| ~ ~ ( member1285940496od_b_b @ SV70 @ SY538 ) ) )
= $true )
| ( ( SV70 = SV172 )
= $true )
| ( ( SV194
= ( insert1952693431od_b_b @ SV70 @ SV241 ) )
= $false )
| ( ( SV131
= ( insert1952693431od_b_b @ SV172 @ SV241 ) )
= $false )
| ( ( member1285940496od_b_b @ SV172 @ SV241 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV241 )
= $true )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1893]) ).
thf(1896,plain,
! [SV240: set_Product_prod_b_b,SV70: product_prod_b_b,SV194: set_Product_prod_b_b,SV172: product_prod_b_b,SV131: set_Product_prod_b_b] :
( ( ( ! [SY538: set_Product_prod_b_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV131
!= ( insert1952693431od_b_b @ SV172 @ SY538 ) )
| ~ ~ ( member1285940496od_b_b @ SV172 @ SY538 ) )
| ( SV194
!= ( insert1952693431od_b_b @ SV70 @ SY538 ) ) )
| ~ ~ ( member1285940496od_b_b @ SV70 @ SY538 ) ) )
= $false )
| ( ( SV70 = SV172 )
= $true )
| ( ( SV131 = SV194 )
= $false )
| ( ( SV194
= ( insert1952693431od_b_b @ SV70 @ SV240 ) )
= $false )
| ( ( SV131
= ( insert1952693431od_b_b @ SV172 @ SV240 ) )
= $false )
| ( ( member1285940496od_b_b @ SV172 @ SV240 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV240 )
= $true )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1894]) ).
thf(1897,plain,
! [SV241: set_Product_prod_b_b,SV70: product_prod_b_b,SV194: set_Product_prod_b_b,SV172: product_prod_b_b,SV131: set_Product_prod_b_b] :
( ( ( ! [SY538: set_Product_prod_b_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV131
!= ( insert1952693431od_b_b @ SV172 @ SY538 ) )
| ~ ~ ( member1285940496od_b_b @ SV172 @ SY538 ) )
| ( SV194
!= ( insert1952693431od_b_b @ SV70 @ SY538 ) ) )
| ~ ~ ( member1285940496od_b_b @ SV70 @ SY538 ) ) )
= $false )
| ( ( SV70 = SV172 )
= $true )
| ( ( SV70 = SV172 )
= $true )
| ( ( SV194
= ( insert1952693431od_b_b @ SV70 @ SV241 ) )
= $false )
| ( ( SV131
= ( insert1952693431od_b_b @ SV172 @ SV241 ) )
= $false )
| ( ( member1285940496od_b_b @ SV172 @ SV241 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV241 )
= $true )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1895]) ).
thf(1898,plain,
! [SV194: set_Product_prod_b_b,SV70: product_prod_b_b,SV240: set_Product_prod_b_b,SV172: product_prod_b_b,SV131: set_Product_prod_b_b] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV131
!= ( insert1952693431od_b_b @ SV172 @ ( sK56_SY538 @ SV240 @ SV70 @ SV194 @ SV172 @ SV131 ) ) )
| ~ ~ ( member1285940496od_b_b @ SV172 @ ( sK56_SY538 @ SV240 @ SV70 @ SV194 @ SV172 @ SV131 ) ) )
| ( SV194
!= ( insert1952693431od_b_b @ SV70 @ ( sK56_SY538 @ SV240 @ SV70 @ SV194 @ SV172 @ SV131 ) ) ) )
| ~ ~ ( member1285940496od_b_b @ SV70 @ ( sK56_SY538 @ SV240 @ SV70 @ SV194 @ SV172 @ SV131 ) ) ) )
= $false )
| ( ( SV70 = SV172 )
= $true )
| ( ( SV131 = SV194 )
= $false )
| ( ( SV194
= ( insert1952693431od_b_b @ SV70 @ SV240 ) )
= $false )
| ( ( SV131
= ( insert1952693431od_b_b @ SV172 @ SV240 ) )
= $false )
| ( ( member1285940496od_b_b @ SV172 @ SV240 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV240 )
= $true )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1896]) ).
thf(1899,plain,
! [SV194: set_Product_prod_b_b,SV70: product_prod_b_b,SV241: set_Product_prod_b_b,SV172: product_prod_b_b,SV131: set_Product_prod_b_b] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV131
!= ( insert1952693431od_b_b @ SV172 @ ( sK57_SY538 @ SV241 @ SV70 @ SV194 @ SV172 @ SV131 ) ) )
| ~ ~ ( member1285940496od_b_b @ SV172 @ ( sK57_SY538 @ SV241 @ SV70 @ SV194 @ SV172 @ SV131 ) ) )
| ( SV194
!= ( insert1952693431od_b_b @ SV70 @ ( sK57_SY538 @ SV241 @ SV70 @ SV194 @ SV172 @ SV131 ) ) ) )
| ~ ~ ( member1285940496od_b_b @ SV70 @ ( sK57_SY538 @ SV241 @ SV70 @ SV194 @ SV172 @ SV131 ) ) ) )
= $false )
| ( ( SV70 = SV172 )
= $true )
| ( ( SV70 = SV172 )
= $true )
| ( ( SV194
= ( insert1952693431od_b_b @ SV70 @ SV241 ) )
= $false )
| ( ( SV131
= ( insert1952693431od_b_b @ SV172 @ SV241 ) )
= $false )
| ( ( member1285940496od_b_b @ SV172 @ SV241 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV241 )
= $true )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1897]) ).
thf(1900,plain,
! [SV194: set_Product_prod_b_b,SV70: product_prod_b_b,SV240: set_Product_prod_b_b,SV172: product_prod_b_b,SV131: set_Product_prod_b_b] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ( SV131
!= ( insert1952693431od_b_b @ SV172 @ ( sK56_SY538 @ SV240 @ SV70 @ SV194 @ SV172 @ SV131 ) ) )
| ~ ~ ( member1285940496od_b_b @ SV172 @ ( sK56_SY538 @ SV240 @ SV70 @ SV194 @ SV172 @ SV131 ) ) )
| ( SV194
!= ( insert1952693431od_b_b @ SV70 @ ( sK56_SY538 @ SV240 @ SV70 @ SV194 @ SV172 @ SV131 ) ) ) )
| ~ ~ ( member1285940496od_b_b @ SV70 @ ( sK56_SY538 @ SV240 @ SV70 @ SV194 @ SV172 @ SV131 ) ) ) )
= $true )
| ( ( SV70 = SV172 )
= $true )
| ( ( SV131 = SV194 )
= $false )
| ( ( SV194
= ( insert1952693431od_b_b @ SV70 @ SV240 ) )
= $false )
| ( ( SV131
= ( insert1952693431od_b_b @ SV172 @ SV240 ) )
= $false )
| ( ( member1285940496od_b_b @ SV172 @ SV240 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV240 )
= $true )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1898]) ).
thf(1901,plain,
! [SV194: set_Product_prod_b_b,SV70: product_prod_b_b,SV241: set_Product_prod_b_b,SV172: product_prod_b_b,SV131: set_Product_prod_b_b] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ( SV131
!= ( insert1952693431od_b_b @ SV172 @ ( sK57_SY538 @ SV241 @ SV70 @ SV194 @ SV172 @ SV131 ) ) )
| ~ ~ ( member1285940496od_b_b @ SV172 @ ( sK57_SY538 @ SV241 @ SV70 @ SV194 @ SV172 @ SV131 ) ) )
| ( SV194
!= ( insert1952693431od_b_b @ SV70 @ ( sK57_SY538 @ SV241 @ SV70 @ SV194 @ SV172 @ SV131 ) ) ) )
| ~ ~ ( member1285940496od_b_b @ SV70 @ ( sK57_SY538 @ SV241 @ SV70 @ SV194 @ SV172 @ SV131 ) ) ) )
= $true )
| ( ( SV70 = SV172 )
= $true )
| ( ( SV70 = SV172 )
= $true )
| ( ( SV194
= ( insert1952693431od_b_b @ SV70 @ SV241 ) )
= $false )
| ( ( SV131
= ( insert1952693431od_b_b @ SV172 @ SV241 ) )
= $false )
| ( ( member1285940496od_b_b @ SV172 @ SV241 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV241 )
= $true )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1899]) ).
thf(1902,plain,
! [SV194: set_Product_prod_b_b,SV70: product_prod_b_b,SV240: set_Product_prod_b_b,SV172: product_prod_b_b,SV131: set_Product_prod_b_b] :
( ( ( ~ ~ ( ~ ~ ( ( SV131
!= ( insert1952693431od_b_b @ SV172 @ ( sK56_SY538 @ SV240 @ SV70 @ SV194 @ SV172 @ SV131 ) ) )
| ~ ~ ( member1285940496od_b_b @ SV172 @ ( sK56_SY538 @ SV240 @ SV70 @ SV194 @ SV172 @ SV131 ) ) )
| ( SV194
!= ( insert1952693431od_b_b @ SV70 @ ( sK56_SY538 @ SV240 @ SV70 @ SV194 @ SV172 @ SV131 ) ) ) )
| ~ ~ ( member1285940496od_b_b @ SV70 @ ( sK56_SY538 @ SV240 @ SV70 @ SV194 @ SV172 @ SV131 ) ) )
= $false )
| ( ( SV70 = SV172 )
= $true )
| ( ( SV131 = SV194 )
= $false )
| ( ( SV194
= ( insert1952693431od_b_b @ SV70 @ SV240 ) )
= $false )
| ( ( SV131
= ( insert1952693431od_b_b @ SV172 @ SV240 ) )
= $false )
| ( ( member1285940496od_b_b @ SV172 @ SV240 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV240 )
= $true )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1900]) ).
thf(1903,plain,
! [SV194: set_Product_prod_b_b,SV70: product_prod_b_b,SV241: set_Product_prod_b_b,SV172: product_prod_b_b,SV131: set_Product_prod_b_b] :
( ( ( ~ ~ ( ~ ~ ( ( SV131
!= ( insert1952693431od_b_b @ SV172 @ ( sK57_SY538 @ SV241 @ SV70 @ SV194 @ SV172 @ SV131 ) ) )
| ~ ~ ( member1285940496od_b_b @ SV172 @ ( sK57_SY538 @ SV241 @ SV70 @ SV194 @ SV172 @ SV131 ) ) )
| ( SV194
!= ( insert1952693431od_b_b @ SV70 @ ( sK57_SY538 @ SV241 @ SV70 @ SV194 @ SV172 @ SV131 ) ) ) )
| ~ ~ ( member1285940496od_b_b @ SV70 @ ( sK57_SY538 @ SV241 @ SV70 @ SV194 @ SV172 @ SV131 ) ) )
= $false )
| ( ( SV70 = SV172 )
= $true )
| ( ( SV70 = SV172 )
= $true )
| ( ( SV194
= ( insert1952693431od_b_b @ SV70 @ SV241 ) )
= $false )
| ( ( SV131
= ( insert1952693431od_b_b @ SV172 @ SV241 ) )
= $false )
| ( ( member1285940496od_b_b @ SV172 @ SV241 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV241 )
= $true )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1901]) ).
thf(1904,plain,
! [SV194: set_Product_prod_b_b,SV70: product_prod_b_b,SV240: set_Product_prod_b_b,SV172: product_prod_b_b,SV131: set_Product_prod_b_b] :
( ( ( ~ ~ ( ~ ~ ( ( SV131
!= ( insert1952693431od_b_b @ SV172 @ ( sK56_SY538 @ SV240 @ SV70 @ SV194 @ SV172 @ SV131 ) ) )
| ~ ~ ( member1285940496od_b_b @ SV172 @ ( sK56_SY538 @ SV240 @ SV70 @ SV194 @ SV172 @ SV131 ) ) )
| ( SV194
!= ( insert1952693431od_b_b @ SV70 @ ( sK56_SY538 @ SV240 @ SV70 @ SV194 @ SV172 @ SV131 ) ) ) ) )
= $false )
| ( ( SV70 = SV172 )
= $true )
| ( ( SV131 = SV194 )
= $false )
| ( ( SV194
= ( insert1952693431od_b_b @ SV70 @ SV240 ) )
= $false )
| ( ( SV131
= ( insert1952693431od_b_b @ SV172 @ SV240 ) )
= $false )
| ( ( member1285940496od_b_b @ SV172 @ SV240 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV240 )
= $true )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1902]) ).
thf(1905,plain,
! [SV131: set_Product_prod_b_b,SV172: product_prod_b_b,SV194: set_Product_prod_b_b,SV240: set_Product_prod_b_b,SV70: product_prod_b_b] :
( ( ( ~ ~ ( member1285940496od_b_b @ SV70 @ ( sK56_SY538 @ SV240 @ SV70 @ SV194 @ SV172 @ SV131 ) ) )
= $false )
| ( ( SV70 = SV172 )
= $true )
| ( ( SV131 = SV194 )
= $false )
| ( ( SV194
= ( insert1952693431od_b_b @ SV70 @ SV240 ) )
= $false )
| ( ( SV131
= ( insert1952693431od_b_b @ SV172 @ SV240 ) )
= $false )
| ( ( member1285940496od_b_b @ SV172 @ SV240 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV240 )
= $true )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1902]) ).
thf(1906,plain,
! [SV194: set_Product_prod_b_b,SV70: product_prod_b_b,SV241: set_Product_prod_b_b,SV172: product_prod_b_b,SV131: set_Product_prod_b_b] :
( ( ( ~ ~ ( ~ ~ ( ( SV131
!= ( insert1952693431od_b_b @ SV172 @ ( sK57_SY538 @ SV241 @ SV70 @ SV194 @ SV172 @ SV131 ) ) )
| ~ ~ ( member1285940496od_b_b @ SV172 @ ( sK57_SY538 @ SV241 @ SV70 @ SV194 @ SV172 @ SV131 ) ) )
| ( SV194
!= ( insert1952693431od_b_b @ SV70 @ ( sK57_SY538 @ SV241 @ SV70 @ SV194 @ SV172 @ SV131 ) ) ) ) )
= $false )
| ( ( SV70 = SV172 )
= $true )
| ( ( SV70 = SV172 )
= $true )
| ( ( SV194
= ( insert1952693431od_b_b @ SV70 @ SV241 ) )
= $false )
| ( ( SV131
= ( insert1952693431od_b_b @ SV172 @ SV241 ) )
= $false )
| ( ( member1285940496od_b_b @ SV172 @ SV241 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV241 )
= $true )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1903]) ).
thf(1907,plain,
! [SV131: set_Product_prod_b_b,SV172: product_prod_b_b,SV194: set_Product_prod_b_b,SV241: set_Product_prod_b_b,SV70: product_prod_b_b] :
( ( ( ~ ~ ( member1285940496od_b_b @ SV70 @ ( sK57_SY538 @ SV241 @ SV70 @ SV194 @ SV172 @ SV131 ) ) )
= $false )
| ( ( SV70 = SV172 )
= $true )
| ( ( SV70 = SV172 )
= $true )
| ( ( SV194
= ( insert1952693431od_b_b @ SV70 @ SV241 ) )
= $false )
| ( ( SV131
= ( insert1952693431od_b_b @ SV172 @ SV241 ) )
= $false )
| ( ( member1285940496od_b_b @ SV172 @ SV241 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV241 )
= $true )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1903]) ).
thf(1908,plain,
! [SV194: set_Product_prod_b_b,SV70: product_prod_b_b,SV240: set_Product_prod_b_b,SV172: product_prod_b_b,SV131: set_Product_prod_b_b] :
( ( ( ~ ( ~ ~ ( ( SV131
!= ( insert1952693431od_b_b @ SV172 @ ( sK56_SY538 @ SV240 @ SV70 @ SV194 @ SV172 @ SV131 ) ) )
| ~ ~ ( member1285940496od_b_b @ SV172 @ ( sK56_SY538 @ SV240 @ SV70 @ SV194 @ SV172 @ SV131 ) ) )
| ( SV194
!= ( insert1952693431od_b_b @ SV70 @ ( sK56_SY538 @ SV240 @ SV70 @ SV194 @ SV172 @ SV131 ) ) ) ) )
= $true )
| ( ( SV70 = SV172 )
= $true )
| ( ( SV131 = SV194 )
= $false )
| ( ( SV194
= ( insert1952693431od_b_b @ SV70 @ SV240 ) )
= $false )
| ( ( SV131
= ( insert1952693431od_b_b @ SV172 @ SV240 ) )
= $false )
| ( ( member1285940496od_b_b @ SV172 @ SV240 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV240 )
= $true )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1904]) ).
thf(1909,plain,
! [SV131: set_Product_prod_b_b,SV172: product_prod_b_b,SV194: set_Product_prod_b_b,SV240: set_Product_prod_b_b,SV70: product_prod_b_b] :
( ( ( ~ ( member1285940496od_b_b @ SV70 @ ( sK56_SY538 @ SV240 @ SV70 @ SV194 @ SV172 @ SV131 ) ) )
= $true )
| ( ( SV70 = SV172 )
= $true )
| ( ( SV131 = SV194 )
= $false )
| ( ( SV194
= ( insert1952693431od_b_b @ SV70 @ SV240 ) )
= $false )
| ( ( SV131
= ( insert1952693431od_b_b @ SV172 @ SV240 ) )
= $false )
| ( ( member1285940496od_b_b @ SV172 @ SV240 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV240 )
= $true )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1905]) ).
thf(1910,plain,
! [SV194: set_Product_prod_b_b,SV70: product_prod_b_b,SV241: set_Product_prod_b_b,SV172: product_prod_b_b,SV131: set_Product_prod_b_b] :
( ( ( ~ ( ~ ~ ( ( SV131
!= ( insert1952693431od_b_b @ SV172 @ ( sK57_SY538 @ SV241 @ SV70 @ SV194 @ SV172 @ SV131 ) ) )
| ~ ~ ( member1285940496od_b_b @ SV172 @ ( sK57_SY538 @ SV241 @ SV70 @ SV194 @ SV172 @ SV131 ) ) )
| ( SV194
!= ( insert1952693431od_b_b @ SV70 @ ( sK57_SY538 @ SV241 @ SV70 @ SV194 @ SV172 @ SV131 ) ) ) ) )
= $true )
| ( ( SV70 = SV172 )
= $true )
| ( ( SV70 = SV172 )
= $true )
| ( ( SV194
= ( insert1952693431od_b_b @ SV70 @ SV241 ) )
= $false )
| ( ( SV131
= ( insert1952693431od_b_b @ SV172 @ SV241 ) )
= $false )
| ( ( member1285940496od_b_b @ SV172 @ SV241 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV241 )
= $true )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1906]) ).
thf(1911,plain,
! [SV131: set_Product_prod_b_b,SV172: product_prod_b_b,SV194: set_Product_prod_b_b,SV241: set_Product_prod_b_b,SV70: product_prod_b_b] :
( ( ( ~ ( member1285940496od_b_b @ SV70 @ ( sK57_SY538 @ SV241 @ SV70 @ SV194 @ SV172 @ SV131 ) ) )
= $true )
| ( ( SV70 = SV172 )
= $true )
| ( ( SV70 = SV172 )
= $true )
| ( ( SV194
= ( insert1952693431od_b_b @ SV70 @ SV241 ) )
= $false )
| ( ( SV131
= ( insert1952693431od_b_b @ SV172 @ SV241 ) )
= $false )
| ( ( member1285940496od_b_b @ SV172 @ SV241 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV241 )
= $true )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1907]) ).
thf(1912,plain,
! [SV194: set_Product_prod_b_b,SV70: product_prod_b_b,SV240: set_Product_prod_b_b,SV172: product_prod_b_b,SV131: set_Product_prod_b_b] :
( ( ( ~ ~ ( ( SV131
!= ( insert1952693431od_b_b @ SV172 @ ( sK56_SY538 @ SV240 @ SV70 @ SV194 @ SV172 @ SV131 ) ) )
| ~ ~ ( member1285940496od_b_b @ SV172 @ ( sK56_SY538 @ SV240 @ SV70 @ SV194 @ SV172 @ SV131 ) ) )
| ( SV194
!= ( insert1952693431od_b_b @ SV70 @ ( sK56_SY538 @ SV240 @ SV70 @ SV194 @ SV172 @ SV131 ) ) ) )
= $false )
| ( ( SV70 = SV172 )
= $true )
| ( ( SV131 = SV194 )
= $false )
| ( ( SV194
= ( insert1952693431od_b_b @ SV70 @ SV240 ) )
= $false )
| ( ( SV131
= ( insert1952693431od_b_b @ SV172 @ SV240 ) )
= $false )
| ( ( member1285940496od_b_b @ SV172 @ SV240 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV240 )
= $true )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1908]) ).
thf(1913,plain,
! [SV131: set_Product_prod_b_b,SV172: product_prod_b_b,SV194: set_Product_prod_b_b,SV240: set_Product_prod_b_b,SV70: product_prod_b_b] :
( ( ( member1285940496od_b_b @ SV70 @ ( sK56_SY538 @ SV240 @ SV70 @ SV194 @ SV172 @ SV131 ) )
= $false )
| ( ( SV70 = SV172 )
= $true )
| ( ( SV131 = SV194 )
= $false )
| ( ( SV194
= ( insert1952693431od_b_b @ SV70 @ SV240 ) )
= $false )
| ( ( SV131
= ( insert1952693431od_b_b @ SV172 @ SV240 ) )
= $false )
| ( ( member1285940496od_b_b @ SV172 @ SV240 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV240 )
= $true )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1909]) ).
thf(1914,plain,
! [SV194: set_Product_prod_b_b,SV70: product_prod_b_b,SV241: set_Product_prod_b_b,SV172: product_prod_b_b,SV131: set_Product_prod_b_b] :
( ( ( ~ ~ ( ( SV131
!= ( insert1952693431od_b_b @ SV172 @ ( sK57_SY538 @ SV241 @ SV70 @ SV194 @ SV172 @ SV131 ) ) )
| ~ ~ ( member1285940496od_b_b @ SV172 @ ( sK57_SY538 @ SV241 @ SV70 @ SV194 @ SV172 @ SV131 ) ) )
| ( SV194
!= ( insert1952693431od_b_b @ SV70 @ ( sK57_SY538 @ SV241 @ SV70 @ SV194 @ SV172 @ SV131 ) ) ) )
= $false )
| ( ( SV70 = SV172 )
= $true )
| ( ( SV70 = SV172 )
= $true )
| ( ( SV194
= ( insert1952693431od_b_b @ SV70 @ SV241 ) )
= $false )
| ( ( SV131
= ( insert1952693431od_b_b @ SV172 @ SV241 ) )
= $false )
| ( ( member1285940496od_b_b @ SV172 @ SV241 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV241 )
= $true )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1910]) ).
thf(1915,plain,
! [SV131: set_Product_prod_b_b,SV172: product_prod_b_b,SV194: set_Product_prod_b_b,SV241: set_Product_prod_b_b,SV70: product_prod_b_b] :
( ( ( member1285940496od_b_b @ SV70 @ ( sK57_SY538 @ SV241 @ SV70 @ SV194 @ SV172 @ SV131 ) )
= $false )
| ( ( SV70 = SV172 )
= $true )
| ( ( SV70 = SV172 )
= $true )
| ( ( SV194
= ( insert1952693431od_b_b @ SV70 @ SV241 ) )
= $false )
| ( ( SV131
= ( insert1952693431od_b_b @ SV172 @ SV241 ) )
= $false )
| ( ( member1285940496od_b_b @ SV172 @ SV241 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV241 )
= $true )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1911]) ).
thf(1916,plain,
! [SV194: set_Product_prod_b_b,SV70: product_prod_b_b,SV240: set_Product_prod_b_b,SV172: product_prod_b_b,SV131: set_Product_prod_b_b] :
( ( ( ~ ~ ( ( SV131
!= ( insert1952693431od_b_b @ SV172 @ ( sK56_SY538 @ SV240 @ SV70 @ SV194 @ SV172 @ SV131 ) ) )
| ~ ~ ( member1285940496od_b_b @ SV172 @ ( sK56_SY538 @ SV240 @ SV70 @ SV194 @ SV172 @ SV131 ) ) ) )
= $false )
| ( ( SV70 = SV172 )
= $true )
| ( ( SV131 = SV194 )
= $false )
| ( ( SV194
= ( insert1952693431od_b_b @ SV70 @ SV240 ) )
= $false )
| ( ( SV131
= ( insert1952693431od_b_b @ SV172 @ SV240 ) )
= $false )
| ( ( member1285940496od_b_b @ SV172 @ SV240 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV240 )
= $true )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1912]) ).
thf(1917,plain,
! [SV131: set_Product_prod_b_b,SV172: product_prod_b_b,SV240: set_Product_prod_b_b,SV70: product_prod_b_b,SV194: set_Product_prod_b_b] :
( ( ( SV194
!= ( insert1952693431od_b_b @ SV70 @ ( sK56_SY538 @ SV240 @ SV70 @ SV194 @ SV172 @ SV131 ) ) )
= $false )
| ( ( SV70 = SV172 )
= $true )
| ( ( SV131 = SV194 )
= $false )
| ( ( SV194
= ( insert1952693431od_b_b @ SV70 @ SV240 ) )
= $false )
| ( ( SV131
= ( insert1952693431od_b_b @ SV172 @ SV240 ) )
= $false )
| ( ( member1285940496od_b_b @ SV172 @ SV240 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV240 )
= $true )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1912]) ).
thf(1918,plain,
! [SV194: set_Product_prod_b_b,SV70: product_prod_b_b,SV241: set_Product_prod_b_b,SV172: product_prod_b_b,SV131: set_Product_prod_b_b] :
( ( ( ~ ~ ( ( SV131
!= ( insert1952693431od_b_b @ SV172 @ ( sK57_SY538 @ SV241 @ SV70 @ SV194 @ SV172 @ SV131 ) ) )
| ~ ~ ( member1285940496od_b_b @ SV172 @ ( sK57_SY538 @ SV241 @ SV70 @ SV194 @ SV172 @ SV131 ) ) ) )
= $false )
| ( ( SV70 = SV172 )
= $true )
| ( ( SV70 = SV172 )
= $true )
| ( ( SV194
= ( insert1952693431od_b_b @ SV70 @ SV241 ) )
= $false )
| ( ( SV131
= ( insert1952693431od_b_b @ SV172 @ SV241 ) )
= $false )
| ( ( member1285940496od_b_b @ SV172 @ SV241 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV241 )
= $true )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1914]) ).
thf(1919,plain,
! [SV131: set_Product_prod_b_b,SV172: product_prod_b_b,SV241: set_Product_prod_b_b,SV70: product_prod_b_b,SV194: set_Product_prod_b_b] :
( ( ( SV194
!= ( insert1952693431od_b_b @ SV70 @ ( sK57_SY538 @ SV241 @ SV70 @ SV194 @ SV172 @ SV131 ) ) )
= $false )
| ( ( SV70 = SV172 )
= $true )
| ( ( SV70 = SV172 )
= $true )
| ( ( SV194
= ( insert1952693431od_b_b @ SV70 @ SV241 ) )
= $false )
| ( ( SV131
= ( insert1952693431od_b_b @ SV172 @ SV241 ) )
= $false )
| ( ( member1285940496od_b_b @ SV172 @ SV241 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV241 )
= $true )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1914]) ).
thf(1920,plain,
! [SV194: set_Product_prod_b_b,SV70: product_prod_b_b,SV240: set_Product_prod_b_b,SV172: product_prod_b_b,SV131: set_Product_prod_b_b] :
( ( ( ~ ( ( SV131
!= ( insert1952693431od_b_b @ SV172 @ ( sK56_SY538 @ SV240 @ SV70 @ SV194 @ SV172 @ SV131 ) ) )
| ~ ~ ( member1285940496od_b_b @ SV172 @ ( sK56_SY538 @ SV240 @ SV70 @ SV194 @ SV172 @ SV131 ) ) ) )
= $true )
| ( ( SV70 = SV172 )
= $true )
| ( ( SV131 = SV194 )
= $false )
| ( ( SV194
= ( insert1952693431od_b_b @ SV70 @ SV240 ) )
= $false )
| ( ( SV131
= ( insert1952693431od_b_b @ SV172 @ SV240 ) )
= $false )
| ( ( member1285940496od_b_b @ SV172 @ SV240 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV240 )
= $true )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1916]) ).
thf(1921,plain,
! [SV131: set_Product_prod_b_b,SV172: product_prod_b_b,SV240: set_Product_prod_b_b,SV70: product_prod_b_b,SV194: set_Product_prod_b_b] :
( ( ( SV194
= ( insert1952693431od_b_b @ SV70 @ ( sK56_SY538 @ SV240 @ SV70 @ SV194 @ SV172 @ SV131 ) ) )
= $true )
| ( ( SV70 = SV172 )
= $true )
| ( ( SV131 = SV194 )
= $false )
| ( ( SV194
= ( insert1952693431od_b_b @ SV70 @ SV240 ) )
= $false )
| ( ( SV131
= ( insert1952693431od_b_b @ SV172 @ SV240 ) )
= $false )
| ( ( member1285940496od_b_b @ SV172 @ SV240 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV240 )
= $true )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1917]) ).
thf(1922,plain,
! [SV194: set_Product_prod_b_b,SV70: product_prod_b_b,SV241: set_Product_prod_b_b,SV172: product_prod_b_b,SV131: set_Product_prod_b_b] :
( ( ( ~ ( ( SV131
!= ( insert1952693431od_b_b @ SV172 @ ( sK57_SY538 @ SV241 @ SV70 @ SV194 @ SV172 @ SV131 ) ) )
| ~ ~ ( member1285940496od_b_b @ SV172 @ ( sK57_SY538 @ SV241 @ SV70 @ SV194 @ SV172 @ SV131 ) ) ) )
= $true )
| ( ( SV70 = SV172 )
= $true )
| ( ( SV70 = SV172 )
= $true )
| ( ( SV194
= ( insert1952693431od_b_b @ SV70 @ SV241 ) )
= $false )
| ( ( SV131
= ( insert1952693431od_b_b @ SV172 @ SV241 ) )
= $false )
| ( ( member1285940496od_b_b @ SV172 @ SV241 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV241 )
= $true )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1918]) ).
thf(1923,plain,
! [SV131: set_Product_prod_b_b,SV172: product_prod_b_b,SV241: set_Product_prod_b_b,SV70: product_prod_b_b,SV194: set_Product_prod_b_b] :
( ( ( SV194
= ( insert1952693431od_b_b @ SV70 @ ( sK57_SY538 @ SV241 @ SV70 @ SV194 @ SV172 @ SV131 ) ) )
= $true )
| ( ( SV70 = SV172 )
= $true )
| ( ( SV70 = SV172 )
= $true )
| ( ( SV194
= ( insert1952693431od_b_b @ SV70 @ SV241 ) )
= $false )
| ( ( SV131
= ( insert1952693431od_b_b @ SV172 @ SV241 ) )
= $false )
| ( ( member1285940496od_b_b @ SV172 @ SV241 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV241 )
= $true )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1919]) ).
thf(1924,plain,
! [SV194: set_Product_prod_b_b,SV70: product_prod_b_b,SV240: set_Product_prod_b_b,SV172: product_prod_b_b,SV131: set_Product_prod_b_b] :
( ( ( ( SV131
!= ( insert1952693431od_b_b @ SV172 @ ( sK56_SY538 @ SV240 @ SV70 @ SV194 @ SV172 @ SV131 ) ) )
| ~ ~ ( member1285940496od_b_b @ SV172 @ ( sK56_SY538 @ SV240 @ SV70 @ SV194 @ SV172 @ SV131 ) ) )
= $false )
| ( ( SV70 = SV172 )
= $true )
| ( ( SV131 = SV194 )
= $false )
| ( ( SV194
= ( insert1952693431od_b_b @ SV70 @ SV240 ) )
= $false )
| ( ( SV131
= ( insert1952693431od_b_b @ SV172 @ SV240 ) )
= $false )
| ( ( member1285940496od_b_b @ SV172 @ SV240 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV240 )
= $true )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1920]) ).
thf(1925,plain,
! [SV194: set_Product_prod_b_b,SV70: product_prod_b_b,SV241: set_Product_prod_b_b,SV172: product_prod_b_b,SV131: set_Product_prod_b_b] :
( ( ( ( SV131
!= ( insert1952693431od_b_b @ SV172 @ ( sK57_SY538 @ SV241 @ SV70 @ SV194 @ SV172 @ SV131 ) ) )
| ~ ~ ( member1285940496od_b_b @ SV172 @ ( sK57_SY538 @ SV241 @ SV70 @ SV194 @ SV172 @ SV131 ) ) )
= $false )
| ( ( SV70 = SV172 )
= $true )
| ( ( SV70 = SV172 )
= $true )
| ( ( SV194
= ( insert1952693431od_b_b @ SV70 @ SV241 ) )
= $false )
| ( ( SV131
= ( insert1952693431od_b_b @ SV172 @ SV241 ) )
= $false )
| ( ( member1285940496od_b_b @ SV172 @ SV241 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV241 )
= $true )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1922]) ).
thf(1926,plain,
! [SV194: set_Product_prod_b_b,SV70: product_prod_b_b,SV240: set_Product_prod_b_b,SV172: product_prod_b_b,SV131: set_Product_prod_b_b] :
( ( ( SV131
!= ( insert1952693431od_b_b @ SV172 @ ( sK56_SY538 @ SV240 @ SV70 @ SV194 @ SV172 @ SV131 ) ) )
= $false )
| ( ( SV70 = SV172 )
= $true )
| ( ( SV131 = SV194 )
= $false )
| ( ( SV194
= ( insert1952693431od_b_b @ SV70 @ SV240 ) )
= $false )
| ( ( SV131
= ( insert1952693431od_b_b @ SV172 @ SV240 ) )
= $false )
| ( ( member1285940496od_b_b @ SV172 @ SV240 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV240 )
= $true )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1924]) ).
thf(1927,plain,
! [SV131: set_Product_prod_b_b,SV194: set_Product_prod_b_b,SV70: product_prod_b_b,SV240: set_Product_prod_b_b,SV172: product_prod_b_b] :
( ( ( ~ ~ ( member1285940496od_b_b @ SV172 @ ( sK56_SY538 @ SV240 @ SV70 @ SV194 @ SV172 @ SV131 ) ) )
= $false )
| ( ( SV70 = SV172 )
= $true )
| ( ( SV131 = SV194 )
= $false )
| ( ( SV194
= ( insert1952693431od_b_b @ SV70 @ SV240 ) )
= $false )
| ( ( SV131
= ( insert1952693431od_b_b @ SV172 @ SV240 ) )
= $false )
| ( ( member1285940496od_b_b @ SV172 @ SV240 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV240 )
= $true )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1924]) ).
thf(1928,plain,
! [SV194: set_Product_prod_b_b,SV70: product_prod_b_b,SV241: set_Product_prod_b_b,SV172: product_prod_b_b,SV131: set_Product_prod_b_b] :
( ( ( SV131
!= ( insert1952693431od_b_b @ SV172 @ ( sK57_SY538 @ SV241 @ SV70 @ SV194 @ SV172 @ SV131 ) ) )
= $false )
| ( ( SV70 = SV172 )
= $true )
| ( ( SV70 = SV172 )
= $true )
| ( ( SV194
= ( insert1952693431od_b_b @ SV70 @ SV241 ) )
= $false )
| ( ( SV131
= ( insert1952693431od_b_b @ SV172 @ SV241 ) )
= $false )
| ( ( member1285940496od_b_b @ SV172 @ SV241 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV241 )
= $true )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1925]) ).
thf(1929,plain,
! [SV131: set_Product_prod_b_b,SV194: set_Product_prod_b_b,SV70: product_prod_b_b,SV241: set_Product_prod_b_b,SV172: product_prod_b_b] :
( ( ( ~ ~ ( member1285940496od_b_b @ SV172 @ ( sK57_SY538 @ SV241 @ SV70 @ SV194 @ SV172 @ SV131 ) ) )
= $false )
| ( ( SV70 = SV172 )
= $true )
| ( ( SV70 = SV172 )
= $true )
| ( ( SV194
= ( insert1952693431od_b_b @ SV70 @ SV241 ) )
= $false )
| ( ( SV131
= ( insert1952693431od_b_b @ SV172 @ SV241 ) )
= $false )
| ( ( member1285940496od_b_b @ SV172 @ SV241 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV241 )
= $true )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1925]) ).
thf(1930,plain,
! [SV194: set_Product_prod_b_b,SV70: product_prod_b_b,SV240: set_Product_prod_b_b,SV172: product_prod_b_b,SV131: set_Product_prod_b_b] :
( ( ( SV131
= ( insert1952693431od_b_b @ SV172 @ ( sK56_SY538 @ SV240 @ SV70 @ SV194 @ SV172 @ SV131 ) ) )
= $true )
| ( ( SV70 = SV172 )
= $true )
| ( ( SV131 = SV194 )
= $false )
| ( ( SV194
= ( insert1952693431od_b_b @ SV70 @ SV240 ) )
= $false )
| ( ( SV131
= ( insert1952693431od_b_b @ SV172 @ SV240 ) )
= $false )
| ( ( member1285940496od_b_b @ SV172 @ SV240 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV240 )
= $true )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1926]) ).
thf(1931,plain,
! [SV131: set_Product_prod_b_b,SV194: set_Product_prod_b_b,SV70: product_prod_b_b,SV240: set_Product_prod_b_b,SV172: product_prod_b_b] :
( ( ( ~ ( member1285940496od_b_b @ SV172 @ ( sK56_SY538 @ SV240 @ SV70 @ SV194 @ SV172 @ SV131 ) ) )
= $true )
| ( ( SV70 = SV172 )
= $true )
| ( ( SV131 = SV194 )
= $false )
| ( ( SV194
= ( insert1952693431od_b_b @ SV70 @ SV240 ) )
= $false )
| ( ( SV131
= ( insert1952693431od_b_b @ SV172 @ SV240 ) )
= $false )
| ( ( member1285940496od_b_b @ SV172 @ SV240 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV240 )
= $true )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1927]) ).
thf(1932,plain,
! [SV194: set_Product_prod_b_b,SV70: product_prod_b_b,SV241: set_Product_prod_b_b,SV172: product_prod_b_b,SV131: set_Product_prod_b_b] :
( ( ( SV131
= ( insert1952693431od_b_b @ SV172 @ ( sK57_SY538 @ SV241 @ SV70 @ SV194 @ SV172 @ SV131 ) ) )
= $true )
| ( ( SV70 = SV172 )
= $true )
| ( ( SV70 = SV172 )
= $true )
| ( ( SV194
= ( insert1952693431od_b_b @ SV70 @ SV241 ) )
= $false )
| ( ( SV131
= ( insert1952693431od_b_b @ SV172 @ SV241 ) )
= $false )
| ( ( member1285940496od_b_b @ SV172 @ SV241 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV241 )
= $true )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1928]) ).
thf(1933,plain,
! [SV131: set_Product_prod_b_b,SV194: set_Product_prod_b_b,SV70: product_prod_b_b,SV241: set_Product_prod_b_b,SV172: product_prod_b_b] :
( ( ( ~ ( member1285940496od_b_b @ SV172 @ ( sK57_SY538 @ SV241 @ SV70 @ SV194 @ SV172 @ SV131 ) ) )
= $true )
| ( ( SV70 = SV172 )
= $true )
| ( ( SV70 = SV172 )
= $true )
| ( ( SV194
= ( insert1952693431od_b_b @ SV70 @ SV241 ) )
= $false )
| ( ( SV131
= ( insert1952693431od_b_b @ SV172 @ SV241 ) )
= $false )
| ( ( member1285940496od_b_b @ SV172 @ SV241 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV241 )
= $true )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1929]) ).
thf(1934,plain,
! [SV131: set_Product_prod_b_b,SV194: set_Product_prod_b_b,SV70: product_prod_b_b,SV240: set_Product_prod_b_b,SV172: product_prod_b_b] :
( ( ( member1285940496od_b_b @ SV172 @ ( sK56_SY538 @ SV240 @ SV70 @ SV194 @ SV172 @ SV131 ) )
= $false )
| ( ( SV70 = SV172 )
= $true )
| ( ( SV131 = SV194 )
= $false )
| ( ( SV194
= ( insert1952693431od_b_b @ SV70 @ SV240 ) )
= $false )
| ( ( SV131
= ( insert1952693431od_b_b @ SV172 @ SV240 ) )
= $false )
| ( ( member1285940496od_b_b @ SV172 @ SV240 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV240 )
= $true )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1931]) ).
thf(1935,plain,
! [SV131: set_Product_prod_b_b,SV194: set_Product_prod_b_b,SV70: product_prod_b_b,SV241: set_Product_prod_b_b,SV172: product_prod_b_b] :
( ( ( member1285940496od_b_b @ SV172 @ ( sK57_SY538 @ SV241 @ SV70 @ SV194 @ SV172 @ SV131 ) )
= $false )
| ( ( SV70 = SV172 )
= $true )
| ( ( SV70 = SV172 )
= $true )
| ( ( SV194
= ( insert1952693431od_b_b @ SV70 @ SV241 ) )
= $false )
| ( ( SV131
= ( insert1952693431od_b_b @ SV172 @ SV241 ) )
= $false )
| ( ( member1285940496od_b_b @ SV172 @ SV241 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV241 )
= $true )
| ( ( member1285940496od_b_b @ SV172 @ SV194 )
= $true )
| ( ( member1285940496od_b_b @ SV70 @ SV131 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1933]) ).
thf(1936,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[443,1935,1934,1932,1930,1923,1921,1915,1913,1892,1890,1887,1884,1880,1876,1862,1861,1858,1857,1846,1843,1827,1821,1805,1799,1794,1790,1772,1765,1764,1758,1753,1750,1731,1715,1709,1697,1696,1694,1660,1656,1655,1654,1653,1647,1646,1645,1644,1643,1641,1639,1633,1632,1631,1626,1625,1621,1620,1619,1618,1604,1601,1599,1597,1588,1565,1563,1559,1551,1549,1543,1541,1538,1537,1534,1533,1528,1527,1524,1523,1521,1519,1515,1508,1507,1504,1503,1502,1501,1500,1499,1490,1485,1479,1478,1469,1468,1445,1444,1433,1418,1417,1416,1415,1414,1413,1411,1409,1408,1407,1402,1396,1389,1385,1378,1375,1372,1365,1363,1362,1361,1359,1356,1351,1349,1346,1343,1342,1341,1339,1332,1314,1308,1307,1306,1301,1300,1293,1280,1274,1273,1270,1269,1256,1252,1244,1241,1240,1239,1238,1237,1236,1235,1234,1233,1225,1224,1223,1222,1221,1215,1212,1204,1203,1201,1196,1190,1189,1188,1187,1186,1185,1169,1166,1162,1161,1160,1159,1150,1140,1136,1130,1129,1124,1120,1115,1113,1109,1108,1106,1102,1094,1091,1088,1083,1073,1052,1049,1037,1023,1015,1011,1005,1003,982,974,973,955,944,942,937,932,930,920,894,890,887,868,859,854,843,838,809,802,791,789,786,770,762,760,756,719,683,682,681,679,644,633,631,628,612,604,603,595,594,593,446,445,444]) ).
thf(1937,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[1936]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ITP175^1 : 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
% 0.09/0.15 % Computer : n011.cluster.edu
% 0.09/0.15 % Model : x86_64 x86_64
% 0.09/0.15 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.15 % Memory : 8046.5625MB
% 0.09/0.15 % OS : Linux 6.8.0-71-generic
% 0.09/0.15 % CPULimit : 300
% 0.09/0.15 % WCLimit : 300
% 0.09/0.15 % DateTime : Tue Oct 6 11:19:21 UTC 2026
% 0.09/0.15 % CPUTime :
% 0.09/0.15 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 19.94/3.69 ..
% 19.94/3.69
% 19.94/3.69 No.of.Axioms: 82
% 19.94/3.69
% 19.94/3.69 Length.of.Defs: 0
% 19.94/3.69
% 19.94/3.69 Contains.Choice.Funs: false
% 19.94/3.69 ...............................................................
% 19.94/3.69
% 19.94/3.69 ********************************
% 19.94/3.69 * All subproblems solved! *
% 19.94/3.69 ********************************
% 19.94/3.69 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:1,axioms:82,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:1936,loop_count:0,foatp_calls:1,translation:fof_full)
% 19.94/3.69
% 19.94/3.69 %**** Beginning of derivation protocol ****
% 19.94/3.69 % SZS output start CNFRefutation
% See solution above
% 19.94/3.70
% 19.94/3.70 %**** End of derivation protocol ****
% 19.94/3.70 %**** no. of clauses in derivation: 1664 ****
% 19.94/3.70 %**** clause counter: 1936 ****
% 19.94/3.70
% 19.94/3.70 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:1,axioms:82,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:1936,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------