%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : ITP178^1 : 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 : n006.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 10:24:37 AM UTC 2026
% Result : Theorem 88.30s 14.95s
% Output : CNFRefutation 88.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 94
% Syntax : Number of formulae : 4266 (2049 unt; 0 typ; 0 def)
% Number of atoms : 24993 (15506 equ; 0 cnn)
% Maximal formula atoms : 4 ( 5 avg)
% Number of connectives : 43828 (9748 ~;6424 |; 165 &;27095 @)
% ( 0 <=>; 396 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 4 avg)
% Number of types : 42 ( 41 usr)
% Number of type conns : 866 ( 866 >; 0 *; 0 +; 0 <<)
% Number of symbols : 259 ( 256 usr; 14 con; 0-6 aty)
% Number of variables : 11670 ( 170 ^;11452 !; 48 ?;11670 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_allego1565409692at_nat,type,
allego1565409692at_nat: $tType ).
thf(tp_allego510293162tant_a,type,
allego510293162tant_a: $tType ).
thf(tp_allegorical_term_b,type,
allegorical_term_b: $tType ).
thf(tp_b,type,
b: $tType ).
thf(tp_itself_nat,type,
itself_nat: $tType ).
thf(tp_labele1835409643at_nat,type,
labele1835409643at_nat: $tType ).
thf(tp_labele935650037_a_nat,type,
labele935650037_a_nat: $tType ).
thf(tp_labeled_graph_b_nat,type,
labeled_graph_b_nat: $tType ).
thf(tp_nat,type,
nat: $tType ).
thf(tp_produc1116408039term_b,type,
produc1116408039term_b: $tType ).
thf(tp_produc116665063_a_nat,type,
produc116665063_a_nat: $tType ).
thf(tp_produc1235635379_b_nat,type,
produc1235635379_b_nat: $tType ).
thf(tp_produc1391440311at_nat,type,
produc1391440311at_nat: $tType ).
thf(tp_produc1478835367term_b,type,
produc1478835367term_b: $tType ).
thf(tp_produc1871334759_a_nat,type,
produc1871334759_a_nat: $tType ).
thf(tp_produc398057191_a_nat,type,
produc398057191_a_nat: $tType ).
thf(tp_produc446386919_b_nat,type,
produc446386919_b_nat: $tType ).
thf(tp_produc842455143at_nat,type,
produc842455143at_nat: $tType ).
thf(tp_product_prod_nat_nat,type,
product_prod_nat_nat: $tType ).
thf(tp_set_Pr1163220871term_b,type,
set_Pr1163220871term_b: $tType ).
thf(tp_set_Pr1173424071_b_nat,type,
set_Pr1173424071_b_nat: $tType ).
thf(tp_set_Pr1490359111at_nat,type,
set_Pr1490359111at_nat: $tType ).
thf(tp_set_Pr1647387645at_nat,type,
set_Pr1647387645at_nat: $tType ).
thf(tp_set_Pr1839611079term_b,type,
set_Pr1839611079term_b: $tType ).
thf(tp_set_Pr1986765409at_nat,type,
set_Pr1986765409at_nat: $tType ).
thf(tp_set_Pr1987088711_a_nat,type,
set_Pr1987088711_a_nat: $tType ).
thf(tp_set_Pr2041158302at_nat,type,
set_Pr2041158302at_nat: $tType ).
thf(tp_set_Pr2123625671_a_nat,type,
set_Pr2123625671_a_nat: $tType ).
thf(tp_set_Pr551076371_b_nat,type,
set_Pr551076371_b_nat: $tType ).
thf(tp_set_Pr665622551at_nat,type,
set_Pr665622551at_nat: $tType ).
thf(tp_set_Pr924198087_a_nat,type,
set_Pr924198087_a_nat: $tType ).
thf(tp_set_Pr9961929at_nat,type,
set_Pr9961929at_nat: $tType ).
thf(tp_set_Product_prod_b_b,type,
set_Product_prod_b_b: $tType ).
thf(tp_set_St761939237tant_a,type,
set_St761939237tant_a: $tType ).
thf(tp_set_a,type,
set_a: $tType ).
thf(tp_set_al1193902458term_b,type,
set_al1193902458term_b: $tType ).
thf(tp_set_b,type,
set_b: $tType ).
thf(tp_set_la1083530965_a_nat,type,
set_la1083530965_a_nat: $tType ).
thf(tp_set_la1976028319_b_nat,type,
set_la1976028319_b_nat: $tType ).
thf(tp_set_nat,type,
set_nat: $tType ).
thf(tp_standard_Constant_a,type,
standard_Constant_a: $tType ).
thf(tp_agree_on_b_nat_nat,type,
agree_on_b_nat_nat: labeled_graph_b_nat > set_Pr1986765409at_nat > set_Pr1986765409at_nat > $o ).
thf(tp_allego266765201at_nat,type,
allego266765201at_nat: allego1565409692at_nat > allego1565409692at_nat > allego1565409692at_nat ).
thf(tp_allego745587551tant_a,type,
allego745587551tant_a: allego510293162tant_a > allego510293162tant_a > allego510293162tant_a ).
thf(tp_allegorical_A_Int_b,type,
allegorical_A_Int_b: allegorical_term_b > allegorical_term_b > allegorical_term_b ).
thf(tp_bot_bo1024461546_nat_o,type,
bot_bo1024461546_nat_o: produc1871334759_a_nat > $o ).
thf(tp_bot_bo1626616373at_nat,type,
bot_bo1626616373at_nat: set_Pr9961929at_nat ).
thf(tp_bot_bo1836341171_a_nat,type,
bot_bo1836341171_a_nat: set_Pr1987088711_a_nat ).
thf(tp_bot_bo2130386637at_nat,type,
bot_bo2130386637at_nat: set_Pr1986765409at_nat ).
thf(tp_bot_bot_nat,type,
bot_bot_nat: nat ).
thf(tp_bot_bot_set_nat,type,
bot_bot_set_nat: set_nat ).
thf(tp_c,type,
c: set_a ).
thf(tp_chain_b_nat,type,
chain_b_nat: ( nat > labeled_graph_b_nat ) > $o ).
thf(tp_chain_sup_b_nat,type,
chain_sup_b_nat: ( nat > labeled_graph_b_nat ) > labeled_graph_b_nat ).
thf(tp_collec135640594term_b,type,
collec135640594term_b: ( produc1478835367term_b > $o ) > set_Pr1163220871term_b ).
thf(tp_collec1615000990_b_nat,type,
collec1615000990_b_nat: ( produc1235635379_b_nat > $o ) > set_Pr551076371_b_nat ).
thf(tp_collec1701899602_a_nat,type,
collec1701899602_a_nat: ( produc398057191_a_nat > $o ) > set_Pr924198087_a_nat ).
thf(tp_collec357096914_a_nat,type,
collec357096914_a_nat: ( produc1871334759_a_nat > $o ) > set_Pr1987088711_a_nat ).
thf(tp_collec7649004at_nat,type,
collec7649004at_nat: ( product_prod_nat_nat > $o ) > set_Pr1986765409at_nat ).
thf(tp_collect_nat,type,
collect_nat: ( nat > $o ) > set_nat ).
thf(tp_conseq1730780375at_nat,type,
conseq1730780375at_nat: set_Pr551076371_b_nat > labeled_graph_b_nat > $o ).
thf(tp_domain1068567884_a_nat,type,
domain1068567884_a_nat: set_Pr1987088711_a_nat > set_la1083530965_a_nat ).
thf(tp_domain1101989710at_nat,type,
domain1101989710at_nat: set_Pr9961929at_nat > set_b ).
thf(tp_domain767519072_b_nat,type,
domain767519072_b_nat: set_Pr551076371_b_nat > set_la1976028319_b_nat ).
thf(tp_domain859272460term_b,type,
domain859272460term_b: set_Pr1163220871term_b > set_al1193902458term_b ).
thf(tp_domain_nat_nat,type,
domain_nat_nat: set_Pr1986765409at_nat > set_nat ).
thf(tp_extensible_b_nat_nat,type,
extensible_b_nat_nat: produc1235635379_b_nat > labeled_graph_b_nat > set_Pr1986765409at_nat > $o ).
thf(tp_fair_chain_b_nat_nat,type,
fair_chain_b_nat_nat: set_Pr551076371_b_nat > ( nat > labeled_graph_b_nat ) > $o ).
thf(tp_fin_ma971967913at_nat,type,
fin_ma971967913at_nat: produc1235635379_b_nat > labeled_graph_b_nat > $o ).
thf(tp_finite1015599120od_b_b,type,
finite1015599120od_b_b: set_Product_prod_b_b > $o ).
thf(tp_finite1242387294at_nat,type,
finite1242387294at_nat: set_Pr1647387645at_nat > $o ).
thf(tp_finite1987068434at_nat,type,
finite1987068434at_nat: set_Pr9961929at_nat > $o ).
thf(tp_finite48957584at_nat,type,
finite48957584at_nat: set_Pr1490359111at_nat > $o ).
thf(tp_finite772653738at_nat,type,
finite772653738at_nat: set_Pr1986765409at_nat > $o ).
thf(tp_finite_finite_b,type,
finite_finite_b: set_b > $o ).
thf(tp_finite_finite_nat,type,
finite_finite_nat: set_nat > $o ).
thf(tp_graph_2111906684at_nat,type,
graph_2111906684at_nat: labele1835409643at_nat > labele1835409643at_nat > set_Pr1986765409at_nat > $o ).
thf(tp_graph_2130075512at_nat,type,
graph_2130075512at_nat: labele935650037_a_nat > labele935650037_a_nat > set_Pr1986765409at_nat > $o ).
thf(tp_graph_529870330at_nat,type,
graph_529870330at_nat: labeled_graph_b_nat > labeled_graph_b_nat > set_Pr1986765409at_nat > $o ).
thf(tp_graph_union_b_nat,type,
graph_union_b_nat: labeled_graph_b_nat > labeled_graph_b_nat > labeled_graph_b_nat ).
thf(tp_id_on_138931664_b_nat,type,
id_on_138931664_b_nat: set_Pr551076371_b_nat > set_Pr1173424071_b_nat ).
thf(tp_id_on_1395957380_a_nat,type,
id_on_1395957380_a_nat: set_Pr924198087_a_nat > set_Pr2123625671_a_nat ).
thf(tp_id_on_1536886967term_b,type,
id_on_1536886967term_b: set_al1193902458term_b > set_Pr1163220871term_b ).
thf(tp_id_on_1651096324_a_nat,type,
id_on_1651096324_a_nat: set_Pr1987088711_a_nat > set_Pr924198087_a_nat ).
thf(tp_id_on_1664915780term_b,type,
id_on_1664915780term_b: set_Pr1163220871term_b > set_Pr1839611079term_b ).
thf(tp_id_on_2144791838at_nat,type,
id_on_2144791838at_nat: set_Pr1986765409at_nat > set_Pr1490359111at_nat ).
thf(tp_id_on_583275916_b_nat,type,
id_on_583275916_b_nat: set_la1976028319_b_nat > set_Pr551076371_b_nat ).
thf(tp_id_on_689842066_a_nat,type,
id_on_689842066_a_nat: set_la1083530965_a_nat > set_Pr1987088711_a_nat ).
thf(tp_id_on_nat,type,
id_on_nat: set_nat > set_Pr1986765409at_nat ).
thf(tp_image_1168831379_a_nat,type,
image_1168831379_a_nat: set_Pr924198087_a_nat > set_Pr1987088711_a_nat > set_Pr1987088711_a_nat ).
thf(tp_image_1183964583_b_nat,type,
image_1183964583_b_nat: set_Pr551076371_b_nat > set_la1976028319_b_nat > set_la1976028319_b_nat ).
thf(tp_image_1356842150at_nat,type,
image_1356842150at_nat: set_Pr2041158302at_nat > set_Pr9961929at_nat > set_nat ).
thf(tp_image_1971191571_a_nat,type,
image_1971191571_a_nat: set_Pr1987088711_a_nat > set_la1083530965_a_nat > set_la1083530965_a_nat ).
thf(tp_image_2112855445at_nat,type,
image_2112855445at_nat: set_Pr9961929at_nat > set_b > set_Pr1986765409at_nat ).
thf(tp_image_329221075term_b,type,
image_329221075term_b: set_Pr1163220871term_b > set_al1193902458term_b > set_al1193902458term_b ).
thf(tp_image_nat_nat,type,
image_nat_nat: set_Pr1986765409at_nat > set_nat > set_nat ).
thf(tp_inv_translation,type,
inv_translation: set_nat > $o ).
thf(tp_labele1810595089_a_nat,type,
labele1810595089_a_nat: labele935650037_a_nat > set_nat ).
thf(tp_labele195203296_a_nat,type,
labele195203296_a_nat: labele935650037_a_nat > set_Pr1647387645at_nat ).
thf(tp_labele2032268018at_nat,type,
labele2032268018at_nat: labele1835409643at_nat > set_Pr1490359111at_nat ).
thf(tp_labele460410879_b_nat,type,
labele460410879_b_nat: labeled_graph_b_nat > set_nat ).
thf(tp_labele560327297at_nat,type,
labele560327297at_nat: labele1835409643at_nat > set_nat ).
thf(tp_labeled_LG_b_nat,type,
labeled_LG_b_nat: set_Pr9961929at_nat > set_nat > labeled_graph_b_nat ).
thf(tp_labeled_edges_b_nat,type,
labeled_edges_b_nat: labeled_graph_b_nat > set_Pr9961929at_nat ).
thf(tp_maintained_b_nat_nat,type,
maintained_b_nat_nat: produc1235635379_b_nat > labeled_graph_b_nat > $o ).
thf(tp_member1129678944at_nat,type,
member1129678944at_nat: produc1391440311at_nat > set_Pr665622551at_nat > $o ).
thf(tp_member1449757456term_b,type,
member1449757456term_b: produc1116408039term_b > set_Pr1839611079term_b > $o ).
thf(tp_member1483953152_b_nat,type,
member1483953152_b_nat: labeled_graph_b_nat > set_la1976028319_b_nat > $o ).
thf(tp_member2027625872at_nat,type,
member2027625872at_nat: produc842455143at_nat > set_Pr1490359111at_nat > $o ).
thf(tp_member516522448term_b,type,
member516522448term_b: produc1478835367term_b > set_Pr1163220871term_b > $o ).
thf(tp_member584645392_a_nat,type,
member584645392_a_nat: produc398057191_a_nat > set_Pr924198087_a_nat > $o ).
thf(tp_member701585322at_nat,type,
member701585322at_nat: product_prod_nat_nat > set_Pr1986765409at_nat > $o ).
thf(tp_member829905680_a_nat,type,
member829905680_a_nat: produc116665063_a_nat > set_Pr2123625671_a_nat > $o ).
thf(tp_member832397200_a_nat,type,
member832397200_a_nat: produc1871334759_a_nat > set_Pr1987088711_a_nat > $o ).
thf(tp_member889223696_b_nat,type,
member889223696_b_nat: produc446386919_b_nat > set_Pr1173424071_b_nat > $o ).
thf(tp_member93680451term_b,type,
member93680451term_b: allegorical_term_b > set_al1193902458term_b > $o ).
thf(tp_member963855452_b_nat,type,
member963855452_b_nat: produc1235635379_b_nat > set_Pr551076371_b_nat > $o ).
thf(tp_member964390942_a_nat,type,
member964390942_a_nat: labele935650037_a_nat > set_la1083530965_a_nat > $o ).
thf(tp_member_nat,type,
member_nat: nat > set_nat > $o ).
thf(tp_ord_le13035955_b_nat,type,
ord_le13035955_b_nat: set_Pr551076371_b_nat > set_Pr551076371_b_nat > $o ).
thf(tp_ord_le138473255term_b,type,
ord_le138473255term_b: set_Pr1163220871term_b > set_Pr1163220871term_b > $o ).
thf(tp_ord_le1718765799_a_nat,type,
ord_le1718765799_a_nat: set_Pr1987088711_a_nat > set_Pr1987088711_a_nat > $o ).
thf(tp_ord_le841296385at_nat,type,
ord_le841296385at_nat: set_Pr1986765409at_nat > set_Pr1986765409at_nat > $o ).
thf(tp_ord_le910748009at_nat,type,
ord_le910748009at_nat: set_Pr9961929at_nat > set_Pr9961929at_nat > $o ).
thf(tp_ord_less_eq_nat,type,
ord_less_eq_nat: nat > nat > $o ).
thf(tp_ord_less_eq_set_nat,type,
ord_less_eq_set_nat: set_nat > set_nat > $o ).
thf(tp_produc1022852229_a_nat,type,
produc1022852229_a_nat: produc398057191_a_nat > produc1871334759_a_nat ).
thf(tp_produc1049080131_a_nat,type,
produc1049080131_a_nat: produc398057191_a_nat > produc1871334759_a_nat ).
thf(tp_produc1168807639at_nat,type,
produc1168807639at_nat: product_prod_nat_nat > product_prod_nat_nat > produc842455143at_nat ).
thf(tp_produc1223098053term_b,type,
produc1223098053term_b: produc1478835367term_b > allegorical_term_b ).
thf(tp_produc1542243159_b_nat,type,
produc1542243159_b_nat: produc1235635379_b_nat > labeled_graph_b_nat ).
thf(tp_produc1564126365at_nat,type,
produc1564126365at_nat: produc1391440311at_nat > labele1835409643at_nat ).
thf(tp_produc1676969687_a_nat,type,
produc1676969687_a_nat: labele935650037_a_nat > labele935650037_a_nat > produc1871334759_a_nat ).
thf(tp_produc1677124439_a_nat,type,
produc1677124439_a_nat: produc1871334759_a_nat > produc1871334759_a_nat > produc398057191_a_nat ).
thf(tp_produc170611543_a_nat,type,
produc170611543_a_nat: produc398057191_a_nat > produc398057191_a_nat > produc116665063_a_nat ).
thf(tp_produc1754969175_b_nat,type,
produc1754969175_b_nat: produc1235635379_b_nat > produc1235635379_b_nat > produc446386919_b_nat ).
thf(tp_produc194497945_b_nat,type,
produc194497945_b_nat: produc1235635379_b_nat > labeled_graph_b_nat ).
thf(tp_produc1990145943term_b,type,
produc1990145943term_b: allegorical_term_b > allegorical_term_b > produc1478835367term_b ).
thf(tp_produc1995789403at_nat,type,
produc1995789403at_nat: produc1391440311at_nat > labele1835409643at_nat ).
thf(tp_produc590202991at_nat,type,
produc590202991at_nat: labele1835409643at_nat > labele1835409643at_nat > produc1391440311at_nat ).
thf(tp_produc719117507_a_nat,type,
produc719117507_a_nat: produc1871334759_a_nat > labele935650037_a_nat ).
thf(tp_produc854192515term_b,type,
produc854192515term_b: produc1478835367term_b > allegorical_term_b ).
thf(tp_produc859843415term_b,type,
produc859843415term_b: produc1478835367term_b > produc1478835367term_b > produc1116408039term_b ).
thf(tp_produc880161797_a_nat,type,
produc880161797_a_nat: produc1871334759_a_nat > labele935650037_a_nat ).
thf(tp_produc951298923_b_nat,type,
produc951298923_b_nat: labeled_graph_b_nat > labeled_graph_b_nat > produc1235635379_b_nat ).
thf(tp_product_Pair_nat_nat,type,
product_Pair_nat_nat: nat > nat > product_prod_nat_nat ).
thf(tp_product_fst_nat_nat,type,
product_fst_nat_nat: product_prod_nat_nat > nat ).
thf(tp_product_snd_nat_nat,type,
product_snd_nat_nat: product_prod_nat_nat > nat ).
thf(tp_relcom1338300020_a_nat,type,
relcom1338300020_a_nat: set_Pr1987088711_a_nat > set_Pr1987088711_a_nat > set_Pr1987088711_a_nat ).
thf(tp_relcom14055552at_nat,type,
relcom14055552at_nat: set_Product_prod_b_b > set_Pr9961929at_nat > set_Pr9961929at_nat ).
thf(tp_relcom1426860350_b_nat,type,
relcom1426860350_b_nat: set_Pr551076371_b_nat > set_Pr551076371_b_nat > set_Pr551076371_b_nat ).
thf(tp_relcom195261566at_nat,type,
relcom195261566at_nat: set_Pr9961929at_nat > set_Pr1490359111at_nat > set_Pr9961929at_nat ).
thf(tp_relcom1955155673term_b,type,
relcom1955155673term_b: set_Pr1163220871term_b > set_Pr1163220871term_b > set_Pr1163220871term_b ).
thf(tp_relcomp_nat_nat_nat,type,
relcomp_nat_nat_nat: set_Pr1986765409at_nat > set_Pr1986765409at_nat > set_Pr1986765409at_nat ).
thf(tp_restri321299017at_nat,type,
restri321299017at_nat: labele1835409643at_nat > labele1835409643at_nat ).
thf(tp_restri572569417_a_nat,type,
restri572569417_a_nat: labele935650037_a_nat > labele935650037_a_nat ).
thf(tp_restrict_b_nat,type,
restrict_b_nat: labeled_graph_b_nat > labeled_graph_b_nat ).
thf(tp_sK100_SY1103,type,
sK100_SY1103: produc1478835367term_b > ( produc1478835367term_b > $o ) > allegorical_term_b ).
thf(tp_sK101_SY1003,type,
sK101_SY1003: produc1478835367term_b > ( allegorical_term_b > allegorical_term_b > $o ) > allegorical_term_b ).
thf(tp_sK102_SY1104,type,
sK102_SY1104: produc1235635379_b_nat > ( produc1235635379_b_nat > $o ) > labeled_graph_b_nat ).
thf(tp_sK103_SY1105,type,
sK103_SY1105: produc1235635379_b_nat > ( labeled_graph_b_nat > labeled_graph_b_nat > $o ) > labeled_graph_b_nat ).
thf(tp_sK104_SY1106,type,
sK104_SY1106: produc1478835367term_b > ( allegorical_term_b > allegorical_term_b > $o ) > allegorical_term_b ).
thf(tp_sK105_SY1017,type,
sK105_SY1017: allegorical_term_b > produc1478835367term_b > allegorical_term_b ).
thf(tp_sK106_SY1048,type,
sK106_SY1048: labeled_graph_b_nat > produc1235635379_b_nat > labeled_graph_b_nat ).
thf(tp_sK107_SY1050,type,
sK107_SY1050: labeled_graph_b_nat > produc1235635379_b_nat > labeled_graph_b_nat ).
thf(tp_sK108_SY1079,type,
sK108_SY1079: allegorical_term_b > produc1478835367term_b > allegorical_term_b ).
thf(tp_sK109_SY1017,type,
sK109_SY1017: allegorical_term_b > allegorical_term_b > produc1478835367term_b > allegorical_term_b ).
thf(tp_sK10_SY352,type,
sK10_SY352: produc1235635379_b_nat > ( produc1235635379_b_nat > $o ) > labeled_graph_b_nat ).
thf(tp_sK110_SY1048,type,
sK110_SY1048: labeled_graph_b_nat > labeled_graph_b_nat > produc1235635379_b_nat > labeled_graph_b_nat ).
thf(tp_sK111_SY1050,type,
sK111_SY1050: labeled_graph_b_nat > labeled_graph_b_nat > produc1235635379_b_nat > labeled_graph_b_nat ).
thf(tp_sK112_SY1079,type,
sK112_SY1079: allegorical_term_b > allegorical_term_b > produc1478835367term_b > allegorical_term_b ).
thf(tp_sK11_SY417,type,
sK11_SY417: produc1235635379_b_nat > labeled_graph_b_nat ).
thf(tp_sK12_SY438,type,
sK12_SY438: produc1235635379_b_nat > ( produc1235635379_b_nat > $o ) > labeled_graph_b_nat ).
thf(tp_sK13_SY280,type,
sK13_SY280: produc1478835367term_b > ( allegorical_term_b > allegorical_term_b > $o ) > allegorical_term_b ).
thf(tp_sK14_SY301,type,
sK14_SY301: produc1235635379_b_nat > ( labeled_graph_b_nat > labeled_graph_b_nat > $o ) > labeled_graph_b_nat ).
thf(tp_sK15_SY439,type,
sK15_SY439: produc1478835367term_b > ( produc1478835367term_b > $o ) > allegorical_term_b ).
thf(tp_sK16_SY440,type,
sK16_SY440: produc1478835367term_b > ( produc1478835367term_b > $o ) > allegorical_term_b ).
thf(tp_sK17_SY434,type,
sK17_SY434: produc1478835367term_b > allegorical_term_b ).
thf(tp_sK18_SY441,type,
sK18_SY441: produc1235635379_b_nat > ( produc1235635379_b_nat > $o ) > labeled_graph_b_nat ).
thf(tp_sK19_SY442,type,
sK19_SY442: produc1478835367term_b > ( allegorical_term_b > allegorical_term_b > $o ) > allegorical_term_b ).
thf(tp_sK1_SY229,type,
sK1_SY229: produc1235635379_b_nat > labeled_graph_b_nat ).
thf(tp_sK20_SY443,type,
sK20_SY443: produc1235635379_b_nat > ( labeled_graph_b_nat > labeled_graph_b_nat > $o ) > labeled_graph_b_nat ).
thf(tp_sK21_SY359,type,
sK21_SY359: labeled_graph_b_nat > produc1235635379_b_nat > labeled_graph_b_nat ).
thf(tp_sK22_SY362,type,
sK22_SY362: allegorical_term_b > produc1478835367term_b > allegorical_term_b ).
thf(tp_sK23_SY367,type,
sK23_SY367: allegorical_term_b > produc1478835367term_b > allegorical_term_b ).
thf(tp_sK24_SY392,type,
sK24_SY392: labeled_graph_b_nat > produc1235635379_b_nat > labeled_graph_b_nat ).
thf(tp_sK25_SY359,type,
sK25_SY359: labeled_graph_b_nat > labeled_graph_b_nat > produc1235635379_b_nat > labeled_graph_b_nat ).
thf(tp_sK26_SY362,type,
sK26_SY362: allegorical_term_b > allegorical_term_b > produc1478835367term_b > allegorical_term_b ).
thf(tp_sK27_SY367,type,
sK27_SY367: allegorical_term_b > allegorical_term_b > produc1478835367term_b > allegorical_term_b ).
thf(tp_sK28_SY392,type,
sK28_SY392: labeled_graph_b_nat > labeled_graph_b_nat > produc1235635379_b_nat > labeled_graph_b_nat ).
thf(tp_sK29_SY456,type,
sK29_SY456: produc1478835367term_b > allegorical_term_b ).
thf(tp_sK2_SY292,type,
sK2_SY292: produc1235635379_b_nat > labeled_graph_b_nat ).
thf(tp_sK30_SY475,type,
sK30_SY475: produc1235635379_b_nat > labeled_graph_b_nat ).
thf(tp_sK31_SY489,type,
sK31_SY489: produc1478835367term_b > allegorical_term_b ).
thf(tp_sK32_SY573,type,
sK32_SY573: produc1235635379_b_nat > labeled_graph_b_nat ).
thf(tp_sK33_SY640,type,
sK33_SY640: produc1478835367term_b > allegorical_term_b ).
thf(tp_sK34_SY657,type,
sK34_SY657: produc1235635379_b_nat > labeled_graph_b_nat ).
thf(tp_sK35_SY492,type,
sK35_SY492: produc1478835367term_b > ( produc1478835367term_b > $o ) > allegorical_term_b ).
thf(tp_sK36_SY526,type,
sK36_SY526: produc1235635379_b_nat > ( produc1235635379_b_nat > $o ) > labeled_graph_b_nat ).
thf(tp_sK37_SY536,type,
sK37_SY536: produc1235635379_b_nat > ( produc1235635379_b_nat > $o ) > labeled_graph_b_nat ).
thf(tp_sK38_SY565,type,
sK38_SY565: produc1478835367term_b > ( produc1478835367term_b > $o ) > allegorical_term_b ).
thf(tp_sK39_SY642,type,
sK39_SY642: produc1235635379_b_nat > labeled_graph_b_nat ).
thf(tp_sK3_SY323,type,
sK3_SY323: produc1478835367term_b > allegorical_term_b ).
thf(tp_sK40_SY486,type,
sK40_SY486: produc1235635379_b_nat > ( labeled_graph_b_nat > labeled_graph_b_nat > $o ) > labeled_graph_b_nat ).
thf(tp_sK41_SY645,type,
sK41_SY645: produc1478835367term_b > allegorical_term_b ).
thf(tp_sK42_SY659,type,
sK42_SY659: produc1478835367term_b > ( produc1478835367term_b > $o ) > allegorical_term_b ).
thf(tp_sK43_SY660,type,
sK43_SY660: produc1235635379_b_nat > ( produc1235635379_b_nat > $o ) > labeled_graph_b_nat ).
thf(tp_sK44_SY661,type,
sK44_SY661: produc1235635379_b_nat > ( produc1235635379_b_nat > $o ) > labeled_graph_b_nat ).
thf(tp_sK45_SY548,type,
sK45_SY548: produc1478835367term_b > ( allegorical_term_b > allegorical_term_b > $o ) > allegorical_term_b ).
thf(tp_sK46_SY662,type,
sK46_SY662: produc1478835367term_b > ( produc1478835367term_b > $o ) > allegorical_term_b ).
thf(tp_sK47_SY663,type,
sK47_SY663: produc1235635379_b_nat > ( labeled_graph_b_nat > labeled_graph_b_nat > $o ) > labeled_graph_b_nat ).
thf(tp_sK48_SY664,type,
sK48_SY664: produc1478835367term_b > ( allegorical_term_b > allegorical_term_b > $o ) > allegorical_term_b ).
thf(tp_sK49_SY595,type,
sK49_SY595: allegorical_term_b > produc1478835367term_b > allegorical_term_b ).
thf(tp_sK4_SY340,type,
sK4_SY340: produc1478835367term_b > allegorical_term_b ).
thf(tp_sK50_SY599,type,
sK50_SY599: allegorical_term_b > produc1478835367term_b > allegorical_term_b ).
thf(tp_sK51_SY621,type,
sK51_SY621: labeled_graph_b_nat > produc1235635379_b_nat > labeled_graph_b_nat ).
thf(tp_sK52_SY635,type,
sK52_SY635: labeled_graph_b_nat > produc1235635379_b_nat > labeled_graph_b_nat ).
thf(tp_sK53_SY595,type,
sK53_SY595: allegorical_term_b > allegorical_term_b > produc1478835367term_b > allegorical_term_b ).
thf(tp_sK54_SY599,type,
sK54_SY599: allegorical_term_b > allegorical_term_b > produc1478835367term_b > allegorical_term_b ).
thf(tp_sK55_SY621,type,
sK55_SY621: labeled_graph_b_nat > labeled_graph_b_nat > produc1235635379_b_nat > labeled_graph_b_nat ).
thf(tp_sK56_SY635,type,
sK56_SY635: labeled_graph_b_nat > labeled_graph_b_nat > produc1235635379_b_nat > labeled_graph_b_nat ).
thf(tp_sK57_SY680,type,
sK57_SY680: produc1235635379_b_nat > labeled_graph_b_nat ).
thf(tp_sK58_SY720,type,
sK58_SY720: produc1478835367term_b > allegorical_term_b ).
thf(tp_sK59_SY734,type,
sK59_SY734: produc1478835367term_b > allegorical_term_b ).
thf(tp_sK5_SY427,type,
sK5_SY427: produc1235635379_b_nat > labeled_graph_b_nat ).
thf(tp_sK60_SY777,type,
sK60_SY777: produc1235635379_b_nat > labeled_graph_b_nat ).
thf(tp_sK61_SY869,type,
sK61_SY869: produc1478835367term_b > allegorical_term_b ).
thf(tp_sK62_SY876,type,
sK62_SY876: produc1235635379_b_nat > labeled_graph_b_nat ).
thf(tp_sK63_SY691,type,
sK63_SY691: produc1478835367term_b > ( produc1478835367term_b > $o ) > allegorical_term_b ).
thf(tp_sK64_SY742,type,
sK64_SY742: produc1235635379_b_nat > ( produc1235635379_b_nat > $o ) > labeled_graph_b_nat ).
thf(tp_sK65_SY775,type,
sK65_SY775: produc1235635379_b_nat > ( produc1235635379_b_nat > $o ) > labeled_graph_b_nat ).
thf(tp_sK66_SY794,type,
sK66_SY794: produc1478835367term_b > ( produc1478835367term_b > $o ) > allegorical_term_b ).
thf(tp_sK67_SY861,type,
sK67_SY861: produc1235635379_b_nat > labeled_graph_b_nat ).
thf(tp_sK68_SY880,type,
sK68_SY880: produc1478835367term_b > ( produc1478835367term_b > $o ) > allegorical_term_b ).
thf(tp_sK69_SY702,type,
sK69_SY702: produc1235635379_b_nat > ( labeled_graph_b_nat > labeled_graph_b_nat > $o ) > labeled_graph_b_nat ).
thf(tp_sK6_SY432,type,
sK6_SY432: produc1478835367term_b > allegorical_term_b ).
thf(tp_sK70_SY870,type,
sK70_SY870: produc1478835367term_b > allegorical_term_b ).
thf(tp_sK71_SY881,type,
sK71_SY881: produc1235635379_b_nat > ( produc1235635379_b_nat > $o ) > labeled_graph_b_nat ).
thf(tp_sK72_SY765,type,
sK72_SY765: produc1478835367term_b > ( allegorical_term_b > allegorical_term_b > $o ) > allegorical_term_b ).
thf(tp_sK73_SY882,type,
sK73_SY882: produc1235635379_b_nat > ( produc1235635379_b_nat > $o ) > labeled_graph_b_nat ).
thf(tp_sK74_SY883,type,
sK74_SY883: produc1478835367term_b > ( produc1478835367term_b > $o ) > allegorical_term_b ).
thf(tp_sK75_SY884,type,
sK75_SY884: produc1235635379_b_nat > ( labeled_graph_b_nat > labeled_graph_b_nat > $o ) > labeled_graph_b_nat ).
thf(tp_sK76_SY885,type,
sK76_SY885: produc1478835367term_b > ( allegorical_term_b > allegorical_term_b > $o ) > allegorical_term_b ).
thf(tp_sK77_SY805,type,
sK77_SY805: labeled_graph_b_nat > produc1235635379_b_nat > labeled_graph_b_nat ).
thf(tp_sK78_SY811,type,
sK78_SY811: allegorical_term_b > produc1478835367term_b > allegorical_term_b ).
thf(tp_sK79_SY823,type,
sK79_SY823: labeled_graph_b_nat > produc1235635379_b_nat > labeled_graph_b_nat ).
thf(tp_sK7_SY261,type,
sK7_SY261: produc1235635379_b_nat > ( produc1235635379_b_nat > $o ) > labeled_graph_b_nat ).
thf(tp_sK80_SY830,type,
sK80_SY830: allegorical_term_b > produc1478835367term_b > allegorical_term_b ).
thf(tp_sK81_SY805,type,
sK81_SY805: labeled_graph_b_nat > labeled_graph_b_nat > produc1235635379_b_nat > labeled_graph_b_nat ).
thf(tp_sK82_SY811,type,
sK82_SY811: allegorical_term_b > allegorical_term_b > produc1478835367term_b > allegorical_term_b ).
thf(tp_sK83_SY823,type,
sK83_SY823: labeled_graph_b_nat > labeled_graph_b_nat > produc1235635379_b_nat > labeled_graph_b_nat ).
thf(tp_sK84_SY830,type,
sK84_SY830: allegorical_term_b > allegorical_term_b > produc1478835367term_b > allegorical_term_b ).
thf(tp_sK85_SY927,type,
sK85_SY927: produc1478835367term_b > allegorical_term_b ).
thf(tp_sK86_SY964,type,
sK86_SY964: produc1235635379_b_nat > labeled_graph_b_nat ).
thf(tp_sK87_SY977,type,
sK87_SY977: produc1235635379_b_nat > labeled_graph_b_nat ).
thf(tp_sK88_SY992,type,
sK88_SY992: produc1478835367term_b > allegorical_term_b ).
thf(tp_sK89_SY1092,type,
sK89_SY1092: produc1235635379_b_nat > labeled_graph_b_nat ).
thf(tp_sK8_SY310,type,
sK8_SY310: produc1478835367term_b > ( produc1478835367term_b > $o ) > allegorical_term_b ).
thf(tp_sK90_SY1097,type,
sK90_SY1097: produc1478835367term_b > allegorical_term_b ).
thf(tp_sK91_SY899,type,
sK91_SY899: produc1478835367term_b > ( produc1478835367term_b > $o ) > allegorical_term_b ).
thf(tp_sK92_SY955,type,
sK92_SY955: produc1235635379_b_nat > ( produc1235635379_b_nat > $o ) > labeled_graph_b_nat ).
thf(tp_sK93_SY985,type,
sK93_SY985: produc1478835367term_b > ( produc1478835367term_b > $o ) > allegorical_term_b ).
thf(tp_sK94_SY1011,type,
sK94_SY1011: produc1235635379_b_nat > ( produc1235635379_b_nat > $o ) > labeled_graph_b_nat ).
thf(tp_sK95_SY1101,type,
sK95_SY1101: produc1478835367term_b > ( produc1478835367term_b > $o ) > allegorical_term_b ).
thf(tp_sK96_SY1089,type,
sK96_SY1089: produc1478835367term_b > allegorical_term_b ).
thf(tp_sK97_SY1102,type,
sK97_SY1102: produc1235635379_b_nat > ( produc1235635379_b_nat > $o ) > labeled_graph_b_nat ).
thf(tp_sK98_SY959,type,
sK98_SY959: produc1235635379_b_nat > ( labeled_graph_b_nat > labeled_graph_b_nat > $o ) > labeled_graph_b_nat ).
thf(tp_sK99_SY1095,type,
sK99_SY1095: produc1235635379_b_nat > labeled_graph_b_nat ).
thf(tp_sK9_SY336,type,
sK9_SY336: produc1478835367term_b > ( produc1478835367term_b > $o ) > allegorical_term_b ).
thf(tp_semantics_b_nat,type,
semantics_b_nat: labeled_graph_b_nat > allegorical_term_b > set_Pr1986765409at_nat ).
thf(tp_set_of1384085797_a_nat,type,
set_of1384085797_a_nat: set_Pr1987088711_a_nat > $o ).
thf(tp_set_of195930477at_nat,type,
set_of195930477at_nat: set_Pr665622551at_nat > $o ).
thf(tp_set_of41538795_b_nat,type,
set_of41538795_b_nat: set_Pr551076371_b_nat > $o ).
thf(tp_standa1329480013rule_b,type,
standa1329480013rule_b: b > produc1235635379_b_nat ).
thf(tp_standa1360217389rule_b,type,
standa1360217389rule_b: b > produc1235635379_b_nat ).
thf(tp_standa1410829644tant_a,type,
standa1410829644tant_a: produc1871334759_a_nat ).
thf(tp_standa153097263at_nat,type,
standa153097263at_nat: product_prod_nat_nat > produc1391440311at_nat ).
thf(tp_standa1568205540ules_a,type,
standa1568205540ules_a: set_St761939237tant_a > set_Pr1987088711_a_nat ).
thf(tp_standa1897115818ules_a,type,
standa1897115818ules_a: set_a > set_Pr1987088711_a_nat ).
thf(tp_standa2131591247at_nat,type,
standa2131591247at_nat: product_prod_nat_nat > produc1391440311at_nat ).
thf(tp_standa214789732at_nat,type,
standa214789732at_nat: produc1391440311at_nat ).
thf(tp_standa305748545tant_a,type,
standa305748545tant_a: standard_Constant_a > produc1871334759_a_nat ).
thf(tp_standa63370785tant_a,type,
standa63370785tant_a: standard_Constant_a > produc1871334759_a_nat ).
thf(tp_standa879863266rule_b,type,
standa879863266rule_b: produc1235635379_b_nat ).
thf(tp_transl1275713022tant_a,type,
transl1275713022tant_a: allego510293162tant_a > labele935650037_a_nat ).
thf(tp_transl490985778at_nat,type,
transl490985778at_nat: allego1565409692at_nat > labele1835409643at_nat ).
thf(tp_translation_b,type,
translation_b: allegorical_term_b > labeled_graph_b_nat ).
thf(tp_u,type,
u: allegorical_term_b ).
thf(tp_unival1191217828term_b,type,
unival1191217828term_b: set_Pr1163220871term_b > $o ).
thf(tp_unival1637751524_a_nat,type,
unival1637751524_a_nat: set_Pr1987088711_a_nat > $o ).
thf(tp_unival633212949at_nat,type,
unival633212949at_nat: set_Pr2041158302at_nat > $o ).
thf(tp_unival857119480_b_nat,type,
unival857119480_b_nat: set_Pr551076371_b_nat > $o ).
thf(tp_unival989235430at_nat,type,
unival989235430at_nat: set_Pr9961929at_nat > $o ).
thf(tp_univalent_nat_nat,type,
univalent_nat_nat: set_Pr1986765409at_nat > $o ).
thf(tp_v,type,
v: allegorical_term_b ).
thf(tp_weak_u2026406106at_nat,type,
weak_u2026406106at_nat: itself_nat > produc1235635379_b_nat > labeled_graph_b_nat > labeled_graph_b_nat > set_Pr1986765409at_nat > set_Pr1986765409at_nat > $o ).
thf(tp_x,type,
x: produc1871334759_a_nat ).
thf(29,axiom,
! [A4: set_nat] :
( ( domain_nat_nat @ ( id_on_nat @ A4 ) )
= A4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_326_Domain__Id__on) ).
thf(42,axiom,
! [X3: set_nat] : ( univalent_nat_nat @ ( id_on_nat @ X3 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_313_id__univalent) ).
thf(44,axiom,
! [R4: allegorical_term_b,S4: allegorical_term_b,R: set_Pr1163220871term_b,S5: allegorical_term_b] :
( ( member516522448term_b @ ( produc1990145943term_b @ R4 @ S4 ) @ R )
=> ( ( S5 = S4 )
=> ( member516522448term_b @ ( produc1990145943term_b @ R4 @ S5 ) @ R ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_311_ssubst__Pair__rhs) ).
thf(45,axiom,
! [R4: labeled_graph_b_nat,S4: labeled_graph_b_nat,R: set_Pr551076371_b_nat,S5: labeled_graph_b_nat] :
( ( member963855452_b_nat @ ( produc951298923_b_nat @ R4 @ S4 ) @ R )
=> ( ( S5 = S4 )
=> ( member963855452_b_nat @ ( produc951298923_b_nat @ R4 @ S5 ) @ R ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_310_ssubst__Pair__rhs) ).
thf(62,axiom,
! [S2: set_Pr9961929at_nat] :
( ~ ( finite1987068434at_nat @ S2 )
=> ( S2 != bot_bo1626616373at_nat ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_293_infinite__imp__nonempty) ).
thf(63,axiom,
! [S2: set_nat] :
( ~ ( finite_finite_nat @ S2 )
=> ( S2 != bot_bot_set_nat ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_292_infinite__imp__nonempty) ).
thf(64,axiom,
finite1987068434at_nat @ bot_bo1626616373at_nat,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_291_finite_OemptyI) ).
thf(65,axiom,
finite_finite_nat @ bot_bot_set_nat,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_290_finite_OemptyI) ).
thf(89,axiom,
! [A: labeled_graph_b_nat,B: labeled_graph_b_nat,X3: set_Pr1986765409at_nat,C2: labeled_graph_b_nat,Y3: set_Pr1986765409at_nat] :
( ( graph_529870330at_nat @ A @ B @ X3 )
=> ( ( graph_529870330at_nat @ B @ C2 @ Y3 )
=> ( graph_529870330at_nat @ A @ C2 @ ( relcomp_nat_nat_nat @ X3 @ Y3 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_266_graph__homomorphism__composes) ).
thf(95,axiom,
! [G_1: labeled_graph_b_nat,G_2: labeled_graph_b_nat] :
( ( graph_529870330at_nat @ G_1 @ G_2 @ ( id_on_nat @ ( labele460410879_b_nat @ G_1 ) ) )
= ( ( G_1
= ( restrict_b_nat @ G_1 ) )
& ( G_2
= ( restrict_b_nat @ G_2 ) )
& ( ( graph_union_b_nat @ G_1 @ G_2 )
= G_2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_260_subgraph__def) ).
thf(96,axiom,
! [G_1: labeled_graph_b_nat,G_2: labeled_graph_b_nat] :
( ( G_1
= ( restrict_b_nat @ G_1 ) )
=> ( ( G_2
= ( restrict_b_nat @ G_2 ) )
=> ( ( graph_union_b_nat @ G_1 @ G_2 )
= ( restrict_b_nat @ ( graph_union_b_nat @ G_1 @ G_2 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_259_graph__union__preserves__restrict) ).
thf(131,axiom,
! [G_1: labeled_graph_b_nat,G_2: labeled_graph_b_nat] :
( ( graph_529870330at_nat @ G_1 @ G_2 @ ( id_on_nat @ ( labele460410879_b_nat @ G_1 ) ) )
=> ( ord_le910748009at_nat @ ( labeled_edges_b_nat @ ( restrict_b_nat @ G_1 ) ) @ ( labeled_edges_b_nat @ G_2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_224_subgraph__subset_I2_J) ).
thf(133,axiom,
! [G_1: labeled_graph_b_nat,G_2: labeled_graph_b_nat] :
( ( graph_529870330at_nat @ G_1 @ G_2 @ ( id_on_nat @ ( labele460410879_b_nat @ G_1 ) ) )
=> ( ord_less_eq_set_nat @ ( labele460410879_b_nat @ G_1 ) @ ( labele460410879_b_nat @ G_2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_222_subgraph__subset_I1_J) ).
thf(134,axiom,
! [Labeled_graph: labeled_graph_b_nat] :
( Labeled_graph
= ( labeled_LG_b_nat @ ( labeled_edges_b_nat @ Labeled_graph ) @ ( labele460410879_b_nat @ Labeled_graph ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_221_labeled__graph_Oexhaust__sel) ).
thf(136,axiom,
! [G: labeled_graph_b_nat] :
( ( ord_le910748009at_nat @ ( labeled_edges_b_nat @ G ) @ ( labeled_edges_b_nat @ ( restrict_b_nat @ G ) ) )
=> ( G
= ( restrict_b_nat @ G ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_219_restrict__subsD) ).
thf(137,axiom,
! [X1: set_Pr9961929at_nat,X22: set_nat] :
( ( labeled_edges_b_nat @ ( labeled_LG_b_nat @ X1 @ X22 ) )
= X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_218_labeled__graph_Osel_I1_J) ).
thf(138,axiom,
! [X1: set_Pr9961929at_nat,X22: set_nat] :
( ( labele460410879_b_nat @ ( labeled_LG_b_nat @ X1 @ X22 ) )
= X22 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_217_labeled__graph_Osel_I2_J) ).
thf(139,axiom,
! [B4: set_Pr9961929at_nat,A4: set_Pr9961929at_nat] :
( ( finite1987068434at_nat @ B4 )
=> ( ( ord_le910748009at_nat @ A4 @ B4 )
=> ( finite1987068434at_nat @ A4 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_216_rev__finite__subset) ).
thf(140,axiom,
! [B4: set_nat,A4: set_nat] :
( ( finite_finite_nat @ B4 )
=> ( ( ord_less_eq_set_nat @ A4 @ B4 )
=> ( finite_finite_nat @ A4 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_215_rev__finite__subset) ).
thf(141,axiom,
! [S2: set_Pr9961929at_nat,T3: set_Pr9961929at_nat] :
( ( ord_le910748009at_nat @ S2 @ T3 )
=> ( ~ ( finite1987068434at_nat @ S2 )
=> ~ ( finite1987068434at_nat @ T3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_214_infinite__super) ).
thf(142,axiom,
! [S2: set_nat,T3: set_nat] :
( ( ord_less_eq_set_nat @ S2 @ T3 )
=> ( ~ ( finite_finite_nat @ S2 )
=> ~ ( finite_finite_nat @ T3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_213_infinite__super) ).
thf(143,axiom,
! [A4: set_Pr9961929at_nat,B4: set_Pr9961929at_nat] :
( ( ord_le910748009at_nat @ A4 @ B4 )
=> ( ( finite1987068434at_nat @ B4 )
=> ( finite1987068434at_nat @ A4 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_212_finite__subset) ).
thf(144,axiom,
! [A4: set_nat,B4: set_nat] :
( ( ord_less_eq_set_nat @ A4 @ B4 )
=> ( ( finite_finite_nat @ B4 )
=> ( finite_finite_nat @ A4 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_211_finite__subset) ).
thf(151,axiom,
! [Labeled_graph: labeled_graph_b_nat] :
( ( labeled_LG_b_nat @ ( labeled_edges_b_nat @ Labeled_graph ) @ ( labele460410879_b_nat @ Labeled_graph ) )
= Labeled_graph ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_204_labeled__graph_Ocollapse) ).
thf(152,axiom,
! [A: allegorical_term_b,P2: produc1478835367term_b] :
( ( A
= ( produc854192515term_b @ P2 ) )
= ( ? [B5: allegorical_term_b] :
( P2
= ( produc1990145943term_b @ A @ B5 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_203_eq__fst__iff) ).
thf(153,axiom,
! [A: labeled_graph_b_nat,P2: produc1235635379_b_nat] :
( ( A
= ( produc1542243159_b_nat @ P2 ) )
= ( ? [B5: labeled_graph_b_nat] :
( P2
= ( produc951298923_b_nat @ A @ B5 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_202_eq__fst__iff) ).
thf(154,axiom,
! [B: labeled_graph_b_nat,P2: produc1235635379_b_nat] :
( ( B
= ( produc194497945_b_nat @ P2 ) )
= ( ? [A5: labeled_graph_b_nat] :
( P2
= ( produc951298923_b_nat @ A5 @ B ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_201_eq__snd__iff) ).
thf(155,axiom,
! [B: allegorical_term_b,P2: produc1478835367term_b] :
( ( B
= ( produc1223098053term_b @ P2 ) )
= ( ? [A5: allegorical_term_b] :
( P2
= ( produc1990145943term_b @ A5 @ B ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_200_eq__snd__iff) ).
thf(162,axiom,
! [S2: nat > labeled_graph_b_nat,I: nat] :
( ( chain_b_nat @ S2 )
=> ( ( S2 @ I )
= ( restrict_b_nat @ ( S2 @ I ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_193_chain__then__restrict) ).
thf(168,axiom,
! [X3: produc1478835367term_b,Y3: allegorical_term_b,Z2: allegorical_term_b] :
( ( X3
= ( produc1990145943term_b @ Y3 @ Z2 ) )
=> ( ( produc854192515term_b @ X3 )
= Y3 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_187_fstI) ).
thf(169,axiom,
! [X3: produc1235635379_b_nat,Y3: labeled_graph_b_nat,Z2: labeled_graph_b_nat] :
( ( X3
= ( produc951298923_b_nat @ Y3 @ Z2 ) )
=> ( ( produc1542243159_b_nat @ X3 )
= Y3 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_186_fstI) ).
thf(174,axiom,
! [X3: produc1235635379_b_nat,Y3: labeled_graph_b_nat,Z2: labeled_graph_b_nat] :
( ( X3
= ( produc951298923_b_nat @ Y3 @ Z2 ) )
=> ( ( produc194497945_b_nat @ X3 )
= Z2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_181_sndI) ).
thf(175,axiom,
! [X3: produc1478835367term_b,Y3: allegorical_term_b,Z2: allegorical_term_b] :
( ( X3
= ( produc1990145943term_b @ Y3 @ Z2 ) )
=> ( ( produc1223098053term_b @ X3 )
= Z2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_180_sndI) ).
thf(195,axiom,
! [P: labeled_graph_b_nat > labeled_graph_b_nat > $o,P2: produc1235635379_b_nat] :
( ( P @ ( produc194497945_b_nat @ P2 ) @ ( produc1542243159_b_nat @ P2 ) )
=> ~ ! [X4: labeled_graph_b_nat,Y4: labeled_graph_b_nat] :
~ ( P @ Y4 @ X4 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_160_exE__realizer_H) ).
thf(196,axiom,
! [P: allegorical_term_b > allegorical_term_b > $o,P2: produc1478835367term_b] :
( ( P @ ( produc1223098053term_b @ P2 ) @ ( produc854192515term_b @ P2 ) )
=> ~ ! [X4: allegorical_term_b,Y4: allegorical_term_b] :
~ ( P @ Y4 @ X4 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_159_exE__realizer_H) ).
thf(199,axiom,
! [R: labeled_graph_b_nat,G: labeled_graph_b_nat,F3: set_Pr1986765409at_nat] :
( ( graph_529870330at_nat @ R @ G @ F3 )
=> ( extensible_b_nat_nat @ ( produc951298923_b_nat @ R @ R ) @ G @ F3 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_156_extensible__refl) ).
thf(205,axiom,
! [X11: allegorical_term_b,X12: allegorical_term_b,Y11: allegorical_term_b,Y12: allegorical_term_b] :
( ( ( allegorical_A_Int_b @ X11 @ X12 )
= ( allegorical_A_Int_b @ Y11 @ Y12 ) )
= ( ( X11 = Y11 )
& ( X12 = Y12 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_150_allegorical__term_Oinject_I1_J) ).
thf(206,axiom,
! [P: labeled_graph_b_nat > labeled_graph_b_nat > $o,Y3: labeled_graph_b_nat,X3: labeled_graph_b_nat] :
( ( P @ Y3 @ X3 )
=> ( P @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ X3 @ Y3 ) ) @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ X3 @ Y3 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_149_exI__realizer) ).
thf(207,axiom,
! [P: allegorical_term_b > allegorical_term_b > $o,Y3: allegorical_term_b,X3: allegorical_term_b] :
( ( P @ Y3 @ X3 )
=> ( P @ ( produc1223098053term_b @ ( produc1990145943term_b @ X3 @ Y3 ) ) @ ( produc854192515term_b @ ( produc1990145943term_b @ X3 @ Y3 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_148_exI__realizer) ).
thf(208,axiom,
! [P: labeled_graph_b_nat > $o,P2: labeled_graph_b_nat,Q2: labeled_graph_b_nat > $o,Q: labeled_graph_b_nat] :
( ( P @ P2 )
=> ( ( Q2 @ Q )
=> ( ( P @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ P2 @ Q ) ) )
& ( Q2 @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ P2 @ Q ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_147_conjI__realizer) ).
thf(209,axiom,
! [P: allegorical_term_b > $o,P2: allegorical_term_b,Q2: allegorical_term_b > $o,Q: allegorical_term_b] :
( ( P @ P2 )
=> ( ( Q2 @ Q )
=> ( ( P @ ( produc854192515term_b @ ( produc1990145943term_b @ P2 @ Q ) ) )
& ( Q2 @ ( produc1223098053term_b @ ( produc1990145943term_b @ P2 @ Q ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_146_conjI__realizer) ).
thf(210,axiom,
! [P: labeled_graph_b_nat > labeled_graph_b_nat > $o,X3: labeled_graph_b_nat,Y3: labeled_graph_b_nat,A: produc1235635379_b_nat] :
( ( P @ X3 @ Y3 )
=> ( ( A
= ( produc951298923_b_nat @ X3 @ Y3 ) )
=> ( P @ ( produc1542243159_b_nat @ A ) @ ( produc194497945_b_nat @ A ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_145_BNF__Greatest__Fixpoint_Osubst__Pair) ).
thf(211,axiom,
! [P: allegorical_term_b > allegorical_term_b > $o,X3: allegorical_term_b,Y3: allegorical_term_b,A: produc1478835367term_b] :
( ( P @ X3 @ Y3 )
=> ( ( A
= ( produc1990145943term_b @ X3 @ Y3 ) )
=> ( P @ ( produc854192515term_b @ A ) @ ( produc1223098053term_b @ A ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_144_BNF__Greatest__Fixpoint_Osubst__Pair) ).
thf(212,axiom,
! [X: allegorical_term_b] : ( inv_translation @ ( labele460410879_b_nat @ ( translation_b @ X ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_143_verts__in__translation) ).
thf(239,axiom,
! [G_1: labeled_graph_b_nat,G_2: labeled_graph_b_nat,G_3: labeled_graph_b_nat] :
( ( graph_529870330at_nat @ G_1 @ G_2 @ ( id_on_nat @ ( labele460410879_b_nat @ G_1 ) ) )
=> ( ( graph_529870330at_nat @ G_2 @ G_3 @ ( id_on_nat @ ( labele460410879_b_nat @ G_2 ) ) )
=> ( graph_529870330at_nat @ G_1 @ G_3 @ ( id_on_nat @ ( labele460410879_b_nat @ G_1 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_116_subgraph__trans) ).
thf(241,axiom,
! [A4: labeled_graph_b_nat,B4: labeled_graph_b_nat,X: labeled_graph_b_nat,H: set_Pr1986765409at_nat] :
( ( graph_529870330at_nat @ A4 @ B4 @ ( id_on_nat @ ( labele460410879_b_nat @ A4 ) ) )
=> ( ( graph_529870330at_nat @ X @ A4 @ H )
=> ( graph_529870330at_nat @ X @ B4 @ H ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_114_subgraph__preserves__hom) ).
thf(243,axiom,
! [Prod: produc1235635379_b_nat] :
( Prod
= ( produc951298923_b_nat @ ( produc1542243159_b_nat @ Prod ) @ ( produc194497945_b_nat @ Prod ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_112_prod_Oexhaust__sel) ).
thf(244,axiom,
! [Prod: produc1478835367term_b] :
( Prod
= ( produc1990145943term_b @ ( produc854192515term_b @ Prod ) @ ( produc1223098053term_b @ Prod ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_111_prod_Oexhaust__sel) ).
thf(248,axiom,
! [T: produc1235635379_b_nat] :
( T
= ( produc951298923_b_nat @ ( produc1542243159_b_nat @ T ) @ ( produc194497945_b_nat @ T ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_107_surjective__pairing) ).
thf(249,axiom,
! [T: produc1478835367term_b] :
( T
= ( produc1990145943term_b @ ( produc854192515term_b @ T ) @ ( produc1223098053term_b @ T ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_106_surjective__pairing) ).
thf(253,axiom,
! [Labeled_graph: labeled_graph_b_nat,Labeled_graph2: labeled_graph_b_nat] :
( ( ( ( labeled_edges_b_nat @ Labeled_graph )
= ( labeled_edges_b_nat @ Labeled_graph2 ) )
& ( ( labele460410879_b_nat @ Labeled_graph )
= ( labele460410879_b_nat @ Labeled_graph2 ) ) )
=> ( Labeled_graph = Labeled_graph2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_102_labeled__graph_Oexpand) ).
thf(255,axiom,
! [P2: produc1235635379_b_nat,Q: produc1235635379_b_nat] :
( ( ( produc1542243159_b_nat @ P2 )
= ( produc1542243159_b_nat @ Q ) )
=> ( ( ( produc194497945_b_nat @ P2 )
= ( produc194497945_b_nat @ Q ) )
=> ( P2 = Q ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_100_prod__eqI) ).
thf(256,axiom,
! [P2: produc1478835367term_b,Q: produc1478835367term_b] :
( ( ( produc854192515term_b @ P2 )
= ( produc854192515term_b @ Q ) )
=> ( ( ( produc1223098053term_b @ P2 )
= ( produc1223098053term_b @ Q ) )
=> ( P2 = Q ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_99_prod__eqI) ).
thf(258,axiom,
! [Prod: produc1235635379_b_nat,Prod2: produc1235635379_b_nat] :
( ( ( ( produc1542243159_b_nat @ Prod )
= ( produc1542243159_b_nat @ Prod2 ) )
& ( ( produc194497945_b_nat @ Prod )
= ( produc194497945_b_nat @ Prod2 ) ) )
=> ( Prod = Prod2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_97_prod_Oexpand) ).
thf(259,axiom,
! [Prod: produc1478835367term_b,Prod2: produc1478835367term_b] :
( ( ( ( produc854192515term_b @ Prod )
= ( produc854192515term_b @ Prod2 ) )
& ( ( produc1223098053term_b @ Prod )
= ( produc1223098053term_b @ Prod2 ) ) )
=> ( Prod = Prod2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_96_prod_Oexpand) ).
thf(261,axiom,
( ( ^ [Y5: produc1235635379_b_nat,Z: produc1235635379_b_nat] : ( Y5 = Z ) )
= ( ^ [S: produc1235635379_b_nat,T2: produc1235635379_b_nat] :
( ( ( produc1542243159_b_nat @ S )
= ( produc1542243159_b_nat @ T2 ) )
& ( ( produc194497945_b_nat @ S )
= ( produc194497945_b_nat @ T2 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_94_prod__eq__iff) ).
thf(262,axiom,
( ( ^ [Y5: produc1478835367term_b,Z: produc1478835367term_b] : ( Y5 = Z ) )
= ( ^ [S: produc1478835367term_b,T2: produc1478835367term_b] :
( ( ( produc854192515term_b @ S )
= ( produc854192515term_b @ T2 ) )
& ( ( produc1223098053term_b @ S )
= ( produc1223098053term_b @ T2 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_93_prod__eq__iff) ).
thf(264,axiom,
! [X3: labeled_graph_b_nat,Y3: labeled_graph_b_nat,A: labeled_graph_b_nat] :
( ( ( produc194497945_b_nat @ ( produc951298923_b_nat @ X3 @ Y3 ) )
= A )
=> ( Y3 = A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_91_snd__eqD) ).
thf(265,axiom,
! [X3: allegorical_term_b,Y3: allegorical_term_b,A: allegorical_term_b] :
( ( ( produc1223098053term_b @ ( produc1990145943term_b @ X3 @ Y3 ) )
= A )
=> ( Y3 = A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_90_snd__eqD) ).
thf(269,axiom,
! [X1: labeled_graph_b_nat,X22: labeled_graph_b_nat] :
( ( produc194497945_b_nat @ ( produc951298923_b_nat @ X1 @ X22 ) )
= X22 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_86_snd__conv) ).
thf(270,axiom,
! [X1: allegorical_term_b,X22: allegorical_term_b] :
( ( produc1223098053term_b @ ( produc1990145943term_b @ X1 @ X22 ) )
= X22 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_85_snd__conv) ).
thf(274,axiom,
! [X3: allegorical_term_b,Y3: allegorical_term_b,A: allegorical_term_b] :
( ( ( produc854192515term_b @ ( produc1990145943term_b @ X3 @ Y3 ) )
= A )
=> ( X3 = A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_81_fst__eqD) ).
thf(275,axiom,
! [X3: labeled_graph_b_nat,Y3: labeled_graph_b_nat,A: labeled_graph_b_nat] :
( ( ( produc1542243159_b_nat @ ( produc951298923_b_nat @ X3 @ Y3 ) )
= A )
=> ( X3 = A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_80_fst__eqD) ).
thf(279,axiom,
! [X1: allegorical_term_b,X22: allegorical_term_b] :
( ( produc854192515term_b @ ( produc1990145943term_b @ X1 @ X22 ) )
= X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_76_fst__conv) ).
thf(280,axiom,
! [X1: labeled_graph_b_nat,X22: labeled_graph_b_nat] :
( ( produc1542243159_b_nat @ ( produc951298923_b_nat @ X1 @ X22 ) )
= X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_75_fst__conv) ).
thf(284,axiom,
! [P2: produc1478835367term_b] :
? [X4: allegorical_term_b,Y4: allegorical_term_b] :
( P2
= ( produc1990145943term_b @ X4 @ Y4 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_71_surj__pair) ).
thf(285,axiom,
! [P2: produc1235635379_b_nat] :
? [X4: labeled_graph_b_nat,Y4: labeled_graph_b_nat] :
( P2
= ( produc951298923_b_nat @ X4 @ Y4 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_70_surj__pair) ).
thf(289,axiom,
! [P: produc1478835367term_b > $o,P2: produc1478835367term_b] :
( ! [A3: allegorical_term_b,B3: allegorical_term_b] : ( P @ ( produc1990145943term_b @ A3 @ B3 ) )
=> ( P @ P2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_66_prod__cases) ).
thf(290,axiom,
! [P: produc1235635379_b_nat > $o,P2: produc1235635379_b_nat] :
( ! [A3: labeled_graph_b_nat,B3: labeled_graph_b_nat] : ( P @ ( produc951298923_b_nat @ A3 @ B3 ) )
=> ( P @ P2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_65_prod__cases) ).
thf(294,axiom,
! [A: allegorical_term_b,B: allegorical_term_b,A2: allegorical_term_b,B2: allegorical_term_b] :
( ( ( produc1990145943term_b @ A @ B )
= ( produc1990145943term_b @ A2 @ B2 ) )
=> ~ ( ( A = A2 )
=> ( B != B2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_61_Pair__inject) ).
thf(295,axiom,
! [A: labeled_graph_b_nat,B: labeled_graph_b_nat,A2: labeled_graph_b_nat,B2: labeled_graph_b_nat] :
( ( ( produc951298923_b_nat @ A @ B )
= ( produc951298923_b_nat @ A2 @ B2 ) )
=> ~ ( ( A = A2 )
=> ( B != B2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_60_Pair__inject) ).
thf(301,axiom,
! [Y3: produc1478835367term_b] :
~ ! [A3: allegorical_term_b,B3: allegorical_term_b] :
( Y3
!= ( produc1990145943term_b @ A3 @ B3 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_54_old_Oprod_Oexhaust) ).
thf(302,axiom,
! [Y3: produc1235635379_b_nat] :
~ ! [A3: labeled_graph_b_nat,B3: labeled_graph_b_nat] :
( Y3
!= ( produc951298923_b_nat @ A3 @ B3 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_53_old_Oprod_Oexhaust) ).
thf(306,axiom,
! [P: produc1478835367term_b > $o,Prod: produc1478835367term_b] :
( ! [A3: allegorical_term_b,B3: allegorical_term_b] : ( P @ ( produc1990145943term_b @ A3 @ B3 ) )
=> ( P @ Prod ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_49_old_Oprod_Oinducts) ).
thf(307,axiom,
! [P: produc1235635379_b_nat > $o,Prod: produc1235635379_b_nat] :
( ! [A3: labeled_graph_b_nat,B3: labeled_graph_b_nat] : ( P @ ( produc951298923_b_nat @ A3 @ B3 ) )
=> ( P @ Prod ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_48_old_Oprod_Oinducts) ).
thf(311,axiom,
! [X3: labeled_graph_b_nat] :
( ( restrict_b_nat @ ( restrict_b_nat @ X3 ) )
= ( restrict_b_nat @ X3 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_44_restrict__idemp) ).
thf(313,axiom,
! [X1: allegorical_term_b,X22: allegorical_term_b,Y1: allegorical_term_b,Y2: allegorical_term_b] :
( ( ( produc1990145943term_b @ X1 @ X22 )
= ( produc1990145943term_b @ Y1 @ Y2 ) )
= ( ( X1 = Y1 )
& ( X22 = Y2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_42_prod_Oinject) ).
thf(314,axiom,
! [X1: labeled_graph_b_nat,X22: labeled_graph_b_nat,Y1: labeled_graph_b_nat,Y2: labeled_graph_b_nat] :
( ( ( produc951298923_b_nat @ X1 @ X22 )
= ( produc951298923_b_nat @ Y1 @ Y2 ) )
= ( ( X1 = Y1 )
& ( X22 = Y2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_41_prod_Oinject) ).
thf(318,axiom,
! [A: allegorical_term_b,B: allegorical_term_b,A2: allegorical_term_b,B2: allegorical_term_b] :
( ( ( produc1990145943term_b @ A @ B )
= ( produc1990145943term_b @ A2 @ B2 ) )
= ( ( A = A2 )
& ( B = B2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_37_old_Oprod_Oinject) ).
thf(319,axiom,
! [A: labeled_graph_b_nat,B: labeled_graph_b_nat,A2: labeled_graph_b_nat,B2: labeled_graph_b_nat] :
( ( ( produc951298923_b_nat @ A @ B )
= ( produc951298923_b_nat @ A2 @ B2 ) )
= ( ( A = A2 )
& ( B = B2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_36_old_Oprod_Oinject) ).
thf(323,axiom,
! [G: labeled_graph_b_nat] :
( ( labele460410879_b_nat @ ( restrict_b_nat @ G ) )
= ( labele460410879_b_nat @ G ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_32_vertices__restrict) ).
thf(325,axiom,
( translation_b
= ( ^ [X2: allegorical_term_b] : ( restrict_b_nat @ ( translation_b @ X2 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_30_translation__graph) ).
thf(327,axiom,
! [Prod: produc1235635379_b_nat] :
( ( produc951298923_b_nat @ ( produc1542243159_b_nat @ Prod ) @ ( produc194497945_b_nat @ Prod ) )
= Prod ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_28_prod_Ocollapse) ).
thf(328,axiom,
! [Prod: produc1478835367term_b] :
( ( produc1990145943term_b @ ( produc854192515term_b @ Prod ) @ ( produc1223098053term_b @ Prod ) )
= Prod ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_27_prod_Ocollapse) ).
thf(332,axiom,
! [I: b] :
( ( graph_529870330at_nat @ ( produc1542243159_b_nat @ ( standa1329480013rule_b @ I ) ) @ ( produc194497945_b_nat @ ( standa1329480013rule_b @ I ) ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ ( standa1329480013rule_b @ I ) ) ) ) )
& ( ( produc194497945_b_nat @ ( standa1329480013rule_b @ I ) )
= ( restrict_b_nat @ ( produc194497945_b_nat @ ( standa1329480013rule_b @ I ) ) ) )
& ( finite_finite_nat @ ( labele460410879_b_nat @ ( produc194497945_b_nat @ ( standa1329480013rule_b @ I ) ) ) )
& ( finite1987068434at_nat @ ( labeled_edges_b_nat @ ( produc194497945_b_nat @ ( standa1329480013rule_b @ I ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_23_are__rules_I3_J) ).
thf(335,axiom,
! [X: allegorical_term_b] : ( finite_finite_nat @ ( labele460410879_b_nat @ ( translation_b @ X ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_20_verts__in__translation__finite_I1_J) ).
thf(337,axiom,
! [T: b] :
( ( graph_529870330at_nat @ ( produc1542243159_b_nat @ ( standa1360217389rule_b @ T ) ) @ ( produc194497945_b_nat @ ( standa1360217389rule_b @ T ) ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ ( standa1360217389rule_b @ T ) ) ) ) )
& ( ( produc194497945_b_nat @ ( standa1360217389rule_b @ T ) )
= ( restrict_b_nat @ ( produc194497945_b_nat @ ( standa1360217389rule_b @ T ) ) ) )
& ( finite_finite_nat @ ( labele460410879_b_nat @ ( produc194497945_b_nat @ ( standa1360217389rule_b @ T ) ) ) )
& ( finite1987068434at_nat @ ( labeled_edges_b_nat @ ( produc194497945_b_nat @ ( standa1360217389rule_b @ T ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_18_are__rules_I2_J) ).
thf(340,axiom,
( ( graph_529870330at_nat @ ( produc1542243159_b_nat @ standa879863266rule_b ) @ ( produc194497945_b_nat @ standa879863266rule_b ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ standa879863266rule_b ) ) ) )
& ( ( produc194497945_b_nat @ standa879863266rule_b )
= ( restrict_b_nat @ ( produc194497945_b_nat @ standa879863266rule_b ) ) )
& ( finite_finite_nat @ ( labele460410879_b_nat @ ( produc194497945_b_nat @ standa879863266rule_b ) ) )
& ( finite1987068434at_nat @ ( labeled_edges_b_nat @ ( produc194497945_b_nat @ standa879863266rule_b ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_15_are__rules_I1_J) ).
thf(343,axiom,
! [X: allegorical_term_b] : ( finite1987068434at_nat @ ( labeled_edges_b_nat @ ( translation_b @ X ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_12_verts__in__translation__finite_I2_J) ).
thf(346,axiom,
! [A: labeled_graph_b_nat] : ( graph_529870330at_nat @ ( restrict_b_nat @ A ) @ ( restrict_b_nat @ A ) @ ( id_on_nat @ ( labele460410879_b_nat @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_9_graph__homomorphism__Id) ).
thf(348,axiom,
! [G: labeled_graph_b_nat] :
( ( graph_529870330at_nat @ G @ ( restrict_b_nat @ G ) @ ( id_on_nat @ ( labele460410879_b_nat @ G ) ) )
= ( G
= ( restrict_b_nat @ G ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7_subgraph__restrict) ).
thf(350,axiom,
! [G: labeled_graph_b_nat] :
( ( graph_529870330at_nat @ G @ G @ ( id_on_nat @ ( labele460410879_b_nat @ G ) ) )
= ( G
= ( restrict_b_nat @ G ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5_subgraph__refl) ).
thf(352,axiom,
! [X: allegorical_term_b,Y: allegorical_term_b] :
( ( graph_529870330at_nat @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ ( translation_b @ X ) @ ( translation_b @ ( allegorical_A_Int_b @ X @ Y ) ) ) ) @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ X ) @ ( translation_b @ ( allegorical_A_Int_b @ X @ Y ) ) ) ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ ( translation_b @ X ) @ ( translation_b @ ( allegorical_A_Int_b @ X @ Y ) ) ) ) ) ) )
& ( ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ X ) @ ( translation_b @ ( allegorical_A_Int_b @ X @ Y ) ) ) )
= ( restrict_b_nat @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ X ) @ ( translation_b @ ( allegorical_A_Int_b @ X @ Y ) ) ) ) ) )
& ( finite_finite_nat @ ( labele460410879_b_nat @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ X ) @ ( translation_b @ ( allegorical_A_Int_b @ X @ Y ) ) ) ) ) )
& ( finite1987068434at_nat @ ( labeled_edges_b_nat @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ X ) @ ( translation_b @ ( allegorical_A_Int_b @ X @ Y ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3_graph__rule__translation) ).
thf(356,conjecture,
( ( graph_529870330at_nat @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ ( translation_b @ ( produc854192515term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) @ ( translation_b @ ( produc1223098053term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) ) ) @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ ( produc854192515term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) @ ( translation_b @ ( produc1223098053term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) ) ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ ( translation_b @ ( produc854192515term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) @ ( translation_b @ ( produc1223098053term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) ) ) ) ) )
& ( ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ ( produc854192515term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) @ ( translation_b @ ( produc1223098053term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) ) )
= ( restrict_b_nat @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ ( produc854192515term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) @ ( translation_b @ ( produc1223098053term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) ) ) ) )
& ( finite_finite_nat @ ( labele460410879_b_nat @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ ( produc854192515term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) @ ( translation_b @ ( produc1223098053term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) ) ) ) )
& ( finite1987068434at_nat @ ( labeled_edges_b_nat @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ ( produc854192515term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) @ ( translation_b @ ( produc1223098053term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
thf(357,negated_conjecture,
( ( ( graph_529870330at_nat @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ ( translation_b @ ( produc854192515term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) @ ( translation_b @ ( produc1223098053term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) ) ) @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ ( produc854192515term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) @ ( translation_b @ ( produc1223098053term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) ) ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ ( translation_b @ ( produc854192515term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) @ ( translation_b @ ( produc1223098053term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) ) ) ) ) )
& ( ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ ( produc854192515term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) @ ( translation_b @ ( produc1223098053term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) ) )
= ( restrict_b_nat @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ ( produc854192515term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) @ ( translation_b @ ( produc1223098053term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) ) ) ) )
& ( finite_finite_nat @ ( labele460410879_b_nat @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ ( produc854192515term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) @ ( translation_b @ ( produc1223098053term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) ) ) ) )
& ( finite1987068434at_nat @ ( labeled_edges_b_nat @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ ( produc854192515term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) @ ( translation_b @ ( produc1223098053term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) ) ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[356]) ).
thf(358,plain,
( ( ( graph_529870330at_nat @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ ( translation_b @ ( produc854192515term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) @ ( translation_b @ ( produc1223098053term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) ) ) @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ ( produc854192515term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) @ ( translation_b @ ( produc1223098053term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) ) ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ ( translation_b @ ( produc854192515term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) @ ( translation_b @ ( produc1223098053term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) ) ) ) ) )
& ( ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ ( produc854192515term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) @ ( translation_b @ ( produc1223098053term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) ) )
= ( restrict_b_nat @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ ( produc854192515term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) @ ( translation_b @ ( produc1223098053term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) ) ) ) )
& ( finite_finite_nat @ ( labele460410879_b_nat @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ ( produc854192515term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) @ ( translation_b @ ( produc1223098053term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) ) ) ) )
& ( finite1987068434at_nat @ ( labeled_edges_b_nat @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ ( produc854192515term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) @ ( translation_b @ ( produc1223098053term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) ) ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[357]) ).
thf(359,plain,
( ( ! [A4: set_nat] :
( ( domain_nat_nat @ ( id_on_nat @ A4 ) )
= A4 ) )
= $true ),
inference(unfold_def,[status(thm)],[29]) ).
thf(360,plain,
( ( ! [X3: set_nat] : ( univalent_nat_nat @ ( id_on_nat @ X3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[42]) ).
thf(361,plain,
( ( ! [R4: allegorical_term_b,S4: allegorical_term_b,R: set_Pr1163220871term_b,S5: allegorical_term_b] :
( ( member516522448term_b @ ( produc1990145943term_b @ R4 @ S4 ) @ R )
=> ( ( S5 = S4 )
=> ( member516522448term_b @ ( produc1990145943term_b @ R4 @ S5 ) @ R ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[44]) ).
thf(362,plain,
( ( ! [R4: labeled_graph_b_nat,S4: labeled_graph_b_nat,R: set_Pr551076371_b_nat,S5: labeled_graph_b_nat] :
( ( member963855452_b_nat @ ( produc951298923_b_nat @ R4 @ S4 ) @ R )
=> ( ( S5 = S4 )
=> ( member963855452_b_nat @ ( produc951298923_b_nat @ R4 @ S5 ) @ R ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[45]) ).
thf(363,plain,
( ( ! [S2: set_Pr9961929at_nat] :
( ~ ( finite1987068434at_nat @ S2 )
=> ( S2 != bot_bo1626616373at_nat ) ) )
= $true ),
inference(unfold_def,[status(thm)],[62]) ).
thf(364,plain,
( ( ! [S2: set_nat] :
( ~ ( finite_finite_nat @ S2 )
=> ( S2 != bot_bot_set_nat ) ) )
= $true ),
inference(unfold_def,[status(thm)],[63]) ).
thf(365,plain,
( ( finite1987068434at_nat @ bot_bo1626616373at_nat )
= $true ),
inference(unfold_def,[status(thm)],[64]) ).
thf(366,plain,
( ( finite_finite_nat @ bot_bot_set_nat )
= $true ),
inference(unfold_def,[status(thm)],[65]) ).
thf(367,plain,
( ( ! [A: labeled_graph_b_nat,B: labeled_graph_b_nat,X3: set_Pr1986765409at_nat,C2: labeled_graph_b_nat,Y3: set_Pr1986765409at_nat] :
( ( graph_529870330at_nat @ A @ B @ X3 )
=> ( ( graph_529870330at_nat @ B @ C2 @ Y3 )
=> ( graph_529870330at_nat @ A @ C2 @ ( relcomp_nat_nat_nat @ X3 @ Y3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[89]) ).
thf(368,plain,
( ( ! [G_1: labeled_graph_b_nat,G_2: labeled_graph_b_nat] :
( ( graph_529870330at_nat @ G_1 @ G_2 @ ( id_on_nat @ ( labele460410879_b_nat @ G_1 ) ) )
= ( ( G_1
= ( restrict_b_nat @ G_1 ) )
& ( G_2
= ( restrict_b_nat @ G_2 ) )
& ( ( graph_union_b_nat @ G_1 @ G_2 )
= G_2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[95]) ).
thf(369,plain,
( ( ! [G_1: labeled_graph_b_nat,G_2: labeled_graph_b_nat] :
( ( G_1
= ( restrict_b_nat @ G_1 ) )
=> ( ( G_2
= ( restrict_b_nat @ G_2 ) )
=> ( ( graph_union_b_nat @ G_1 @ G_2 )
= ( restrict_b_nat @ ( graph_union_b_nat @ G_1 @ G_2 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[96]) ).
thf(370,plain,
( ( ! [G_1: labeled_graph_b_nat,G_2: labeled_graph_b_nat] :
( ( graph_529870330at_nat @ G_1 @ G_2 @ ( id_on_nat @ ( labele460410879_b_nat @ G_1 ) ) )
=> ( ord_le910748009at_nat @ ( labeled_edges_b_nat @ ( restrict_b_nat @ G_1 ) ) @ ( labeled_edges_b_nat @ G_2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[131]) ).
thf(371,plain,
( ( ! [G_1: labeled_graph_b_nat,G_2: labeled_graph_b_nat] :
( ( graph_529870330at_nat @ G_1 @ G_2 @ ( id_on_nat @ ( labele460410879_b_nat @ G_1 ) ) )
=> ( ord_less_eq_set_nat @ ( labele460410879_b_nat @ G_1 ) @ ( labele460410879_b_nat @ G_2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[133]) ).
thf(372,plain,
( ( ! [Labeled_graph: labeled_graph_b_nat] :
( Labeled_graph
= ( labeled_LG_b_nat @ ( labeled_edges_b_nat @ Labeled_graph ) @ ( labele460410879_b_nat @ Labeled_graph ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[134]) ).
thf(373,plain,
( ( ! [G: labeled_graph_b_nat] :
( ( ord_le910748009at_nat @ ( labeled_edges_b_nat @ G ) @ ( labeled_edges_b_nat @ ( restrict_b_nat @ G ) ) )
=> ( G
= ( restrict_b_nat @ G ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[136]) ).
thf(374,plain,
( ( ! [X1: set_Pr9961929at_nat,X22: set_nat] :
( ( labeled_edges_b_nat @ ( labeled_LG_b_nat @ X1 @ X22 ) )
= X1 ) )
= $true ),
inference(unfold_def,[status(thm)],[137]) ).
thf(375,plain,
( ( ! [X1: set_Pr9961929at_nat,X22: set_nat] :
( ( labele460410879_b_nat @ ( labeled_LG_b_nat @ X1 @ X22 ) )
= X22 ) )
= $true ),
inference(unfold_def,[status(thm)],[138]) ).
thf(376,plain,
( ( ! [B4: set_Pr9961929at_nat,A4: set_Pr9961929at_nat] :
( ( finite1987068434at_nat @ B4 )
=> ( ( ord_le910748009at_nat @ A4 @ B4 )
=> ( finite1987068434at_nat @ A4 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[139]) ).
thf(377,plain,
( ( ! [B4: set_nat,A4: set_nat] :
( ( finite_finite_nat @ B4 )
=> ( ( ord_less_eq_set_nat @ A4 @ B4 )
=> ( finite_finite_nat @ A4 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[140]) ).
thf(378,plain,
( ( ! [S2: set_Pr9961929at_nat,T3: set_Pr9961929at_nat] :
( ( ord_le910748009at_nat @ S2 @ T3 )
=> ( ~ ( finite1987068434at_nat @ S2 )
=> ~ ( finite1987068434at_nat @ T3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[141]) ).
thf(379,plain,
( ( ! [S2: set_nat,T3: set_nat] :
( ( ord_less_eq_set_nat @ S2 @ T3 )
=> ( ~ ( finite_finite_nat @ S2 )
=> ~ ( finite_finite_nat @ T3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[142]) ).
thf(380,plain,
( ( ! [A4: set_Pr9961929at_nat,B4: set_Pr9961929at_nat] :
( ( ord_le910748009at_nat @ A4 @ B4 )
=> ( ( finite1987068434at_nat @ B4 )
=> ( finite1987068434at_nat @ A4 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[143]) ).
thf(381,plain,
( ( ! [A4: set_nat,B4: set_nat] :
( ( ord_less_eq_set_nat @ A4 @ B4 )
=> ( ( finite_finite_nat @ B4 )
=> ( finite_finite_nat @ A4 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[144]) ).
thf(382,plain,
( ( ! [Labeled_graph: labeled_graph_b_nat] :
( ( labeled_LG_b_nat @ ( labeled_edges_b_nat @ Labeled_graph ) @ ( labele460410879_b_nat @ Labeled_graph ) )
= Labeled_graph ) )
= $true ),
inference(unfold_def,[status(thm)],[151]) ).
thf(383,plain,
( ( ! [A: allegorical_term_b,P2: produc1478835367term_b] :
( ( A
= ( produc854192515term_b @ P2 ) )
= ( ? [B5: allegorical_term_b] :
( P2
= ( produc1990145943term_b @ A @ B5 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[152]) ).
thf(384,plain,
( ( ! [A: labeled_graph_b_nat,P2: produc1235635379_b_nat] :
( ( A
= ( produc1542243159_b_nat @ P2 ) )
= ( ? [B5: labeled_graph_b_nat] :
( P2
= ( produc951298923_b_nat @ A @ B5 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[153]) ).
thf(385,plain,
( ( ! [B: labeled_graph_b_nat,P2: produc1235635379_b_nat] :
( ( B
= ( produc194497945_b_nat @ P2 ) )
= ( ? [A5: labeled_graph_b_nat] :
( P2
= ( produc951298923_b_nat @ A5 @ B ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[154]) ).
thf(386,plain,
( ( ! [B: allegorical_term_b,P2: produc1478835367term_b] :
( ( B
= ( produc1223098053term_b @ P2 ) )
= ( ? [A5: allegorical_term_b] :
( P2
= ( produc1990145943term_b @ A5 @ B ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[155]) ).
thf(387,plain,
( ( ! [S2: nat > labeled_graph_b_nat,I: nat] :
( ( chain_b_nat @ S2 )
=> ( ( S2 @ I )
= ( restrict_b_nat @ ( S2 @ I ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[162]) ).
thf(388,plain,
( ( ! [X3: produc1478835367term_b,Y3: allegorical_term_b,Z2: allegorical_term_b] :
( ( X3
= ( produc1990145943term_b @ Y3 @ Z2 ) )
=> ( ( produc854192515term_b @ X3 )
= Y3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[168]) ).
thf(389,plain,
( ( ! [X3: produc1235635379_b_nat,Y3: labeled_graph_b_nat,Z2: labeled_graph_b_nat] :
( ( X3
= ( produc951298923_b_nat @ Y3 @ Z2 ) )
=> ( ( produc1542243159_b_nat @ X3 )
= Y3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[169]) ).
thf(390,plain,
( ( ! [X3: produc1235635379_b_nat,Y3: labeled_graph_b_nat,Z2: labeled_graph_b_nat] :
( ( X3
= ( produc951298923_b_nat @ Y3 @ Z2 ) )
=> ( ( produc194497945_b_nat @ X3 )
= Z2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[174]) ).
thf(391,plain,
( ( ! [X3: produc1478835367term_b,Y3: allegorical_term_b,Z2: allegorical_term_b] :
( ( X3
= ( produc1990145943term_b @ Y3 @ Z2 ) )
=> ( ( produc1223098053term_b @ X3 )
= Z2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[175]) ).
thf(392,plain,
( ( ! [P: labeled_graph_b_nat > labeled_graph_b_nat > $o,P2: produc1235635379_b_nat] :
( ( P @ ( produc194497945_b_nat @ P2 ) @ ( produc1542243159_b_nat @ P2 ) )
=> ~ ! [X4: labeled_graph_b_nat,Y4: labeled_graph_b_nat] :
~ ( P @ Y4 @ X4 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[195]) ).
thf(393,plain,
( ( ! [P: allegorical_term_b > allegorical_term_b > $o,P2: produc1478835367term_b] :
( ( P @ ( produc1223098053term_b @ P2 ) @ ( produc854192515term_b @ P2 ) )
=> ~ ! [X4: allegorical_term_b,Y4: allegorical_term_b] :
~ ( P @ Y4 @ X4 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[196]) ).
thf(394,plain,
( ( ! [R: labeled_graph_b_nat,G: labeled_graph_b_nat,F3: set_Pr1986765409at_nat] :
( ( graph_529870330at_nat @ R @ G @ F3 )
=> ( extensible_b_nat_nat @ ( produc951298923_b_nat @ R @ R ) @ G @ F3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[199]) ).
thf(395,plain,
( ( ! [X11: allegorical_term_b,X12: allegorical_term_b,Y11: allegorical_term_b,Y12: allegorical_term_b] :
( ( ( allegorical_A_Int_b @ X11 @ X12 )
= ( allegorical_A_Int_b @ Y11 @ Y12 ) )
= ( ( X11 = Y11 )
& ( X12 = Y12 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[205]) ).
thf(396,plain,
( ( ! [P: labeled_graph_b_nat > labeled_graph_b_nat > $o,Y3: labeled_graph_b_nat,X3: labeled_graph_b_nat] :
( ( P @ Y3 @ X3 )
=> ( P @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ X3 @ Y3 ) ) @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ X3 @ Y3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[206]) ).
thf(397,plain,
( ( ! [P: allegorical_term_b > allegorical_term_b > $o,Y3: allegorical_term_b,X3: allegorical_term_b] :
( ( P @ Y3 @ X3 )
=> ( P @ ( produc1223098053term_b @ ( produc1990145943term_b @ X3 @ Y3 ) ) @ ( produc854192515term_b @ ( produc1990145943term_b @ X3 @ Y3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[207]) ).
thf(398,plain,
( ( ! [P: labeled_graph_b_nat > $o,P2: labeled_graph_b_nat,Q2: labeled_graph_b_nat > $o,Q: labeled_graph_b_nat] :
( ( P @ P2 )
=> ( ( Q2 @ Q )
=> ( ( P @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ P2 @ Q ) ) )
& ( Q2 @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ P2 @ Q ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[208]) ).
thf(399,plain,
( ( ! [P: allegorical_term_b > $o,P2: allegorical_term_b,Q2: allegorical_term_b > $o,Q: allegorical_term_b] :
( ( P @ P2 )
=> ( ( Q2 @ Q )
=> ( ( P @ ( produc854192515term_b @ ( produc1990145943term_b @ P2 @ Q ) ) )
& ( Q2 @ ( produc1223098053term_b @ ( produc1990145943term_b @ P2 @ Q ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[209]) ).
thf(400,plain,
( ( ! [P: labeled_graph_b_nat > labeled_graph_b_nat > $o,X3: labeled_graph_b_nat,Y3: labeled_graph_b_nat,A: produc1235635379_b_nat] :
( ( P @ X3 @ Y3 )
=> ( ( A
= ( produc951298923_b_nat @ X3 @ Y3 ) )
=> ( P @ ( produc1542243159_b_nat @ A ) @ ( produc194497945_b_nat @ A ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[210]) ).
thf(401,plain,
( ( ! [P: allegorical_term_b > allegorical_term_b > $o,X3: allegorical_term_b,Y3: allegorical_term_b,A: produc1478835367term_b] :
( ( P @ X3 @ Y3 )
=> ( ( A
= ( produc1990145943term_b @ X3 @ Y3 ) )
=> ( P @ ( produc854192515term_b @ A ) @ ( produc1223098053term_b @ A ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[211]) ).
thf(402,plain,
( ( ! [X: allegorical_term_b] : ( inv_translation @ ( labele460410879_b_nat @ ( translation_b @ X ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[212]) ).
thf(403,plain,
( ( ! [G_1: labeled_graph_b_nat,G_2: labeled_graph_b_nat,G_3: labeled_graph_b_nat] :
( ( graph_529870330at_nat @ G_1 @ G_2 @ ( id_on_nat @ ( labele460410879_b_nat @ G_1 ) ) )
=> ( ( graph_529870330at_nat @ G_2 @ G_3 @ ( id_on_nat @ ( labele460410879_b_nat @ G_2 ) ) )
=> ( graph_529870330at_nat @ G_1 @ G_3 @ ( id_on_nat @ ( labele460410879_b_nat @ G_1 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[239]) ).
thf(404,plain,
( ( ! [A4: labeled_graph_b_nat,B4: labeled_graph_b_nat,X: labeled_graph_b_nat,H: set_Pr1986765409at_nat] :
( ( graph_529870330at_nat @ A4 @ B4 @ ( id_on_nat @ ( labele460410879_b_nat @ A4 ) ) )
=> ( ( graph_529870330at_nat @ X @ A4 @ H )
=> ( graph_529870330at_nat @ X @ B4 @ H ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[241]) ).
thf(405,plain,
( ( ! [Prod: produc1235635379_b_nat] :
( Prod
= ( produc951298923_b_nat @ ( produc1542243159_b_nat @ Prod ) @ ( produc194497945_b_nat @ Prod ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[243]) ).
thf(406,plain,
( ( ! [Prod: produc1478835367term_b] :
( Prod
= ( produc1990145943term_b @ ( produc854192515term_b @ Prod ) @ ( produc1223098053term_b @ Prod ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[244]) ).
thf(407,plain,
( ( ! [T: produc1235635379_b_nat] :
( T
= ( produc951298923_b_nat @ ( produc1542243159_b_nat @ T ) @ ( produc194497945_b_nat @ T ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[248]) ).
thf(408,plain,
( ( ! [T: produc1478835367term_b] :
( T
= ( produc1990145943term_b @ ( produc854192515term_b @ T ) @ ( produc1223098053term_b @ T ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[249]) ).
thf(409,plain,
( ( ! [Labeled_graph: labeled_graph_b_nat,Labeled_graph2: labeled_graph_b_nat] :
( ( ( ( labeled_edges_b_nat @ Labeled_graph )
= ( labeled_edges_b_nat @ Labeled_graph2 ) )
& ( ( labele460410879_b_nat @ Labeled_graph )
= ( labele460410879_b_nat @ Labeled_graph2 ) ) )
=> ( Labeled_graph = Labeled_graph2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[253]) ).
thf(410,plain,
( ( ! [P2: produc1235635379_b_nat,Q: produc1235635379_b_nat] :
( ( ( produc1542243159_b_nat @ P2 )
= ( produc1542243159_b_nat @ Q ) )
=> ( ( ( produc194497945_b_nat @ P2 )
= ( produc194497945_b_nat @ Q ) )
=> ( P2 = Q ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[255]) ).
thf(411,plain,
( ( ! [P2: produc1478835367term_b,Q: produc1478835367term_b] :
( ( ( produc854192515term_b @ P2 )
= ( produc854192515term_b @ Q ) )
=> ( ( ( produc1223098053term_b @ P2 )
= ( produc1223098053term_b @ Q ) )
=> ( P2 = Q ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[256]) ).
thf(412,plain,
( ( ! [Prod: produc1235635379_b_nat,Prod2: produc1235635379_b_nat] :
( ( ( ( produc1542243159_b_nat @ Prod )
= ( produc1542243159_b_nat @ Prod2 ) )
& ( ( produc194497945_b_nat @ Prod )
= ( produc194497945_b_nat @ Prod2 ) ) )
=> ( Prod = Prod2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[258]) ).
thf(413,plain,
( ( ! [Prod: produc1478835367term_b,Prod2: produc1478835367term_b] :
( ( ( ( produc854192515term_b @ Prod )
= ( produc854192515term_b @ Prod2 ) )
& ( ( produc1223098053term_b @ Prod )
= ( produc1223098053term_b @ Prod2 ) ) )
=> ( Prod = Prod2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[259]) ).
thf(414,plain,
( ( ( ^ [Y5: produc1235635379_b_nat,Z: produc1235635379_b_nat] : ( Y5 = Z ) )
= ( ^ [S: produc1235635379_b_nat,T2: produc1235635379_b_nat] :
( ( ( produc1542243159_b_nat @ S )
= ( produc1542243159_b_nat @ T2 ) )
& ( ( produc194497945_b_nat @ S )
= ( produc194497945_b_nat @ T2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[261]) ).
thf(415,plain,
( ( ( ^ [Y5: produc1478835367term_b,Z: produc1478835367term_b] : ( Y5 = Z ) )
= ( ^ [S: produc1478835367term_b,T2: produc1478835367term_b] :
( ( ( produc854192515term_b @ S )
= ( produc854192515term_b @ T2 ) )
& ( ( produc1223098053term_b @ S )
= ( produc1223098053term_b @ T2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[262]) ).
thf(416,plain,
( ( ! [X3: labeled_graph_b_nat,Y3: labeled_graph_b_nat,A: labeled_graph_b_nat] :
( ( ( produc194497945_b_nat @ ( produc951298923_b_nat @ X3 @ Y3 ) )
= A )
=> ( Y3 = A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[264]) ).
thf(417,plain,
( ( ! [X3: allegorical_term_b,Y3: allegorical_term_b,A: allegorical_term_b] :
( ( ( produc1223098053term_b @ ( produc1990145943term_b @ X3 @ Y3 ) )
= A )
=> ( Y3 = A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[265]) ).
thf(418,plain,
( ( ! [X1: labeled_graph_b_nat,X22: labeled_graph_b_nat] :
( ( produc194497945_b_nat @ ( produc951298923_b_nat @ X1 @ X22 ) )
= X22 ) )
= $true ),
inference(unfold_def,[status(thm)],[269]) ).
thf(419,plain,
( ( ! [X1: allegorical_term_b,X22: allegorical_term_b] :
( ( produc1223098053term_b @ ( produc1990145943term_b @ X1 @ X22 ) )
= X22 ) )
= $true ),
inference(unfold_def,[status(thm)],[270]) ).
thf(420,plain,
( ( ! [X3: allegorical_term_b,Y3: allegorical_term_b,A: allegorical_term_b] :
( ( ( produc854192515term_b @ ( produc1990145943term_b @ X3 @ Y3 ) )
= A )
=> ( X3 = A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[274]) ).
thf(421,plain,
( ( ! [X3: labeled_graph_b_nat,Y3: labeled_graph_b_nat,A: labeled_graph_b_nat] :
( ( ( produc1542243159_b_nat @ ( produc951298923_b_nat @ X3 @ Y3 ) )
= A )
=> ( X3 = A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[275]) ).
thf(422,plain,
( ( ! [X1: allegorical_term_b,X22: allegorical_term_b] :
( ( produc854192515term_b @ ( produc1990145943term_b @ X1 @ X22 ) )
= X1 ) )
= $true ),
inference(unfold_def,[status(thm)],[279]) ).
thf(423,plain,
( ( ! [X1: labeled_graph_b_nat,X22: labeled_graph_b_nat] :
( ( produc1542243159_b_nat @ ( produc951298923_b_nat @ X1 @ X22 ) )
= X1 ) )
= $true ),
inference(unfold_def,[status(thm)],[280]) ).
thf(424,plain,
( ( ! [P2: produc1478835367term_b] :
? [X4: allegorical_term_b,Y4: allegorical_term_b] :
( P2
= ( produc1990145943term_b @ X4 @ Y4 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[284]) ).
thf(425,plain,
( ( ! [P2: produc1235635379_b_nat] :
? [X4: labeled_graph_b_nat,Y4: labeled_graph_b_nat] :
( P2
= ( produc951298923_b_nat @ X4 @ Y4 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[285]) ).
thf(426,plain,
( ( ! [P: produc1478835367term_b > $o,P2: produc1478835367term_b] :
( ! [A3: allegorical_term_b,B3: allegorical_term_b] : ( P @ ( produc1990145943term_b @ A3 @ B3 ) )
=> ( P @ P2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[289]) ).
thf(427,plain,
( ( ! [P: produc1235635379_b_nat > $o,P2: produc1235635379_b_nat] :
( ! [A3: labeled_graph_b_nat,B3: labeled_graph_b_nat] : ( P @ ( produc951298923_b_nat @ A3 @ B3 ) )
=> ( P @ P2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[290]) ).
thf(428,plain,
( ( ! [A: allegorical_term_b,B: allegorical_term_b,A2: allegorical_term_b,B2: allegorical_term_b] :
( ( ( produc1990145943term_b @ A @ B )
= ( produc1990145943term_b @ A2 @ B2 ) )
=> ~ ( ( A = A2 )
=> ( B != B2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[294]) ).
thf(429,plain,
( ( ! [A: labeled_graph_b_nat,B: labeled_graph_b_nat,A2: labeled_graph_b_nat,B2: labeled_graph_b_nat] :
( ( ( produc951298923_b_nat @ A @ B )
= ( produc951298923_b_nat @ A2 @ B2 ) )
=> ~ ( ( A = A2 )
=> ( B != B2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[295]) ).
thf(430,plain,
( ( ! [Y3: produc1478835367term_b] :
~ ! [A3: allegorical_term_b,B3: allegorical_term_b] :
( Y3
!= ( produc1990145943term_b @ A3 @ B3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[301]) ).
thf(431,plain,
( ( ! [Y3: produc1235635379_b_nat] :
~ ! [A3: labeled_graph_b_nat,B3: labeled_graph_b_nat] :
( Y3
!= ( produc951298923_b_nat @ A3 @ B3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[302]) ).
thf(432,plain,
( ( ! [P: produc1478835367term_b > $o,Prod: produc1478835367term_b] :
( ! [A3: allegorical_term_b,B3: allegorical_term_b] : ( P @ ( produc1990145943term_b @ A3 @ B3 ) )
=> ( P @ Prod ) ) )
= $true ),
inference(unfold_def,[status(thm)],[306]) ).
thf(433,plain,
( ( ! [P: produc1235635379_b_nat > $o,Prod: produc1235635379_b_nat] :
( ! [A3: labeled_graph_b_nat,B3: labeled_graph_b_nat] : ( P @ ( produc951298923_b_nat @ A3 @ B3 ) )
=> ( P @ Prod ) ) )
= $true ),
inference(unfold_def,[status(thm)],[307]) ).
thf(434,plain,
( ( ! [X3: labeled_graph_b_nat] :
( ( restrict_b_nat @ ( restrict_b_nat @ X3 ) )
= ( restrict_b_nat @ X3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[311]) ).
thf(435,plain,
( ( ! [X1: allegorical_term_b,X22: allegorical_term_b,Y1: allegorical_term_b,Y2: allegorical_term_b] :
( ( ( produc1990145943term_b @ X1 @ X22 )
= ( produc1990145943term_b @ Y1 @ Y2 ) )
= ( ( X1 = Y1 )
& ( X22 = Y2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[313]) ).
thf(436,plain,
( ( ! [X1: labeled_graph_b_nat,X22: labeled_graph_b_nat,Y1: labeled_graph_b_nat,Y2: labeled_graph_b_nat] :
( ( ( produc951298923_b_nat @ X1 @ X22 )
= ( produc951298923_b_nat @ Y1 @ Y2 ) )
= ( ( X1 = Y1 )
& ( X22 = Y2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[314]) ).
thf(437,plain,
( ( ! [A: allegorical_term_b,B: allegorical_term_b,A2: allegorical_term_b,B2: allegorical_term_b] :
( ( ( produc1990145943term_b @ A @ B )
= ( produc1990145943term_b @ A2 @ B2 ) )
= ( ( A = A2 )
& ( B = B2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[318]) ).
thf(438,plain,
( ( ! [A: labeled_graph_b_nat,B: labeled_graph_b_nat,A2: labeled_graph_b_nat,B2: labeled_graph_b_nat] :
( ( ( produc951298923_b_nat @ A @ B )
= ( produc951298923_b_nat @ A2 @ B2 ) )
= ( ( A = A2 )
& ( B = B2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[319]) ).
thf(439,plain,
( ( ! [G: labeled_graph_b_nat] :
( ( labele460410879_b_nat @ ( restrict_b_nat @ G ) )
= ( labele460410879_b_nat @ G ) ) )
= $true ),
inference(unfold_def,[status(thm)],[323]) ).
thf(440,plain,
( ( translation_b
= ( ^ [X2: allegorical_term_b] : ( restrict_b_nat @ ( translation_b @ X2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[325]) ).
thf(441,plain,
( ( ! [Prod: produc1235635379_b_nat] :
( ( produc951298923_b_nat @ ( produc1542243159_b_nat @ Prod ) @ ( produc194497945_b_nat @ Prod ) )
= Prod ) )
= $true ),
inference(unfold_def,[status(thm)],[327]) ).
thf(442,plain,
( ( ! [Prod: produc1478835367term_b] :
( ( produc1990145943term_b @ ( produc854192515term_b @ Prod ) @ ( produc1223098053term_b @ Prod ) )
= Prod ) )
= $true ),
inference(unfold_def,[status(thm)],[328]) ).
thf(443,plain,
( ( ! [I: b] :
( ( graph_529870330at_nat @ ( produc1542243159_b_nat @ ( standa1329480013rule_b @ I ) ) @ ( produc194497945_b_nat @ ( standa1329480013rule_b @ I ) ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ ( standa1329480013rule_b @ I ) ) ) ) )
& ( ( produc194497945_b_nat @ ( standa1329480013rule_b @ I ) )
= ( restrict_b_nat @ ( produc194497945_b_nat @ ( standa1329480013rule_b @ I ) ) ) )
& ( finite_finite_nat @ ( labele460410879_b_nat @ ( produc194497945_b_nat @ ( standa1329480013rule_b @ I ) ) ) )
& ( finite1987068434at_nat @ ( labeled_edges_b_nat @ ( produc194497945_b_nat @ ( standa1329480013rule_b @ I ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[332]) ).
thf(444,plain,
( ( ! [X: allegorical_term_b] : ( finite_finite_nat @ ( labele460410879_b_nat @ ( translation_b @ X ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[335]) ).
thf(445,plain,
( ( ! [T: b] :
( ( graph_529870330at_nat @ ( produc1542243159_b_nat @ ( standa1360217389rule_b @ T ) ) @ ( produc194497945_b_nat @ ( standa1360217389rule_b @ T ) ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ ( standa1360217389rule_b @ T ) ) ) ) )
& ( ( produc194497945_b_nat @ ( standa1360217389rule_b @ T ) )
= ( restrict_b_nat @ ( produc194497945_b_nat @ ( standa1360217389rule_b @ T ) ) ) )
& ( finite_finite_nat @ ( labele460410879_b_nat @ ( produc194497945_b_nat @ ( standa1360217389rule_b @ T ) ) ) )
& ( finite1987068434at_nat @ ( labeled_edges_b_nat @ ( produc194497945_b_nat @ ( standa1360217389rule_b @ T ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[337]) ).
thf(446,plain,
( ( ( graph_529870330at_nat @ ( produc1542243159_b_nat @ standa879863266rule_b ) @ ( produc194497945_b_nat @ standa879863266rule_b ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ standa879863266rule_b ) ) ) )
& ( ( produc194497945_b_nat @ standa879863266rule_b )
= ( restrict_b_nat @ ( produc194497945_b_nat @ standa879863266rule_b ) ) )
& ( finite_finite_nat @ ( labele460410879_b_nat @ ( produc194497945_b_nat @ standa879863266rule_b ) ) )
& ( finite1987068434at_nat @ ( labeled_edges_b_nat @ ( produc194497945_b_nat @ standa879863266rule_b ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[340]) ).
thf(447,plain,
( ( ! [X: allegorical_term_b] : ( finite1987068434at_nat @ ( labeled_edges_b_nat @ ( translation_b @ X ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[343]) ).
thf(448,plain,
( ( ! [A: labeled_graph_b_nat] : ( graph_529870330at_nat @ ( restrict_b_nat @ A ) @ ( restrict_b_nat @ A ) @ ( id_on_nat @ ( labele460410879_b_nat @ A ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[346]) ).
thf(449,plain,
( ( ! [G: labeled_graph_b_nat] :
( ( graph_529870330at_nat @ G @ ( restrict_b_nat @ G ) @ ( id_on_nat @ ( labele460410879_b_nat @ G ) ) )
= ( G
= ( restrict_b_nat @ G ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[348]) ).
thf(450,plain,
( ( ! [G: labeled_graph_b_nat] :
( ( graph_529870330at_nat @ G @ G @ ( id_on_nat @ ( labele460410879_b_nat @ G ) ) )
= ( G
= ( restrict_b_nat @ G ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[350]) ).
thf(451,plain,
( ( ! [X: allegorical_term_b,Y: allegorical_term_b] :
( ( graph_529870330at_nat @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ ( translation_b @ X ) @ ( translation_b @ ( allegorical_A_Int_b @ X @ Y ) ) ) ) @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ X ) @ ( translation_b @ ( allegorical_A_Int_b @ X @ Y ) ) ) ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ ( translation_b @ X ) @ ( translation_b @ ( allegorical_A_Int_b @ X @ Y ) ) ) ) ) ) )
& ( ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ X ) @ ( translation_b @ ( allegorical_A_Int_b @ X @ Y ) ) ) )
= ( restrict_b_nat @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ X ) @ ( translation_b @ ( allegorical_A_Int_b @ X @ Y ) ) ) ) ) )
& ( finite_finite_nat @ ( labele460410879_b_nat @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ X ) @ ( translation_b @ ( allegorical_A_Int_b @ X @ Y ) ) ) ) ) )
& ( finite1987068434at_nat @ ( labeled_edges_b_nat @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ X ) @ ( translation_b @ ( allegorical_A_Int_b @ X @ Y ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[352]) ).
thf(452,plain,
( ( graph_529870330at_nat @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ ( translation_b @ ( produc854192515term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) @ ( translation_b @ ( produc1223098053term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) ) ) @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ ( produc854192515term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) @ ( translation_b @ ( produc1223098053term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) ) ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ ( translation_b @ ( produc854192515term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) @ ( translation_b @ ( produc1223098053term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) ) ) ) ) )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[358]) ).
thf(453,plain,
( ( ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ ( produc854192515term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) @ ( translation_b @ ( produc1223098053term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) ) )
= ( restrict_b_nat @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ ( produc854192515term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) @ ( translation_b @ ( produc1223098053term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) ) ) ) )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[358]) ).
thf(454,plain,
( ( finite_finite_nat @ ( labele460410879_b_nat @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ ( produc854192515term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) @ ( translation_b @ ( produc1223098053term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) ) ) ) )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[358]) ).
thf(455,plain,
( ( finite1987068434at_nat @ ( labeled_edges_b_nat @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ ( produc854192515term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) @ ( translation_b @ ( produc1223098053term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) ) ) ) )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[358]) ).
thf(456,plain,
( ( ~ ( graph_529870330at_nat @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ ( translation_b @ ( produc854192515term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) @ ( translation_b @ ( produc1223098053term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) ) ) @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ ( produc854192515term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) @ ( translation_b @ ( produc1223098053term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) ) ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ ( translation_b @ ( produc854192515term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) @ ( translation_b @ ( produc1223098053term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) ) ) ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[452]) ).
thf(457,plain,
( ( ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ ( produc854192515term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) @ ( translation_b @ ( produc1223098053term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) ) )
!= ( restrict_b_nat @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ ( produc854192515term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) @ ( translation_b @ ( produc1223098053term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[453]) ).
thf(458,plain,
( ( ~ ( finite_finite_nat @ ( labele460410879_b_nat @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ ( produc854192515term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) @ ( translation_b @ ( produc1223098053term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) ) ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[454]) ).
thf(459,plain,
( ( ~ ( finite1987068434at_nat @ ( labeled_edges_b_nat @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ ( produc854192515term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) @ ( translation_b @ ( produc1223098053term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) ) ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[455]) ).
thf(460,plain,
( ( ! [X: allegorical_term_b,Y: allegorical_term_b] :
( ( graph_529870330at_nat @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ ( translation_b @ X ) @ ( translation_b @ ( allegorical_A_Int_b @ X @ Y ) ) ) ) @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ X ) @ ( translation_b @ ( allegorical_A_Int_b @ X @ Y ) ) ) ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ ( translation_b @ X ) @ ( translation_b @ ( allegorical_A_Int_b @ X @ Y ) ) ) ) ) ) )
& ( ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ X ) @ ( translation_b @ ( allegorical_A_Int_b @ X @ Y ) ) ) )
= ( restrict_b_nat @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ X ) @ ( translation_b @ ( allegorical_A_Int_b @ X @ Y ) ) ) ) ) )
& ( finite_finite_nat @ ( labele460410879_b_nat @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ X ) @ ( translation_b @ ( allegorical_A_Int_b @ X @ Y ) ) ) ) ) )
& ( finite1987068434at_nat @ ( labeled_edges_b_nat @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ X ) @ ( translation_b @ ( allegorical_A_Int_b @ X @ Y ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[451]) ).
thf(461,plain,
( ( ! [G: labeled_graph_b_nat] :
( ( graph_529870330at_nat @ G @ G @ ( id_on_nat @ ( labele460410879_b_nat @ G ) ) )
= ( G
= ( restrict_b_nat @ G ) ) ) )
= $true ),
inference(copy,[status(thm)],[450]) ).
thf(462,plain,
( ( ! [G: labeled_graph_b_nat] :
( ( graph_529870330at_nat @ G @ ( restrict_b_nat @ G ) @ ( id_on_nat @ ( labele460410879_b_nat @ G ) ) )
= ( G
= ( restrict_b_nat @ G ) ) ) )
= $true ),
inference(copy,[status(thm)],[449]) ).
thf(463,plain,
( ( ! [A: labeled_graph_b_nat] : ( graph_529870330at_nat @ ( restrict_b_nat @ A ) @ ( restrict_b_nat @ A ) @ ( id_on_nat @ ( labele460410879_b_nat @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[448]) ).
thf(464,plain,
( ( ! [X: allegorical_term_b] : ( finite1987068434at_nat @ ( labeled_edges_b_nat @ ( translation_b @ X ) ) ) )
= $true ),
inference(copy,[status(thm)],[447]) ).
thf(465,plain,
( ( ( graph_529870330at_nat @ ( produc1542243159_b_nat @ standa879863266rule_b ) @ ( produc194497945_b_nat @ standa879863266rule_b ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ standa879863266rule_b ) ) ) )
& ( ( produc194497945_b_nat @ standa879863266rule_b )
= ( restrict_b_nat @ ( produc194497945_b_nat @ standa879863266rule_b ) ) )
& ( finite_finite_nat @ ( labele460410879_b_nat @ ( produc194497945_b_nat @ standa879863266rule_b ) ) )
& ( finite1987068434at_nat @ ( labeled_edges_b_nat @ ( produc194497945_b_nat @ standa879863266rule_b ) ) ) )
= $true ),
inference(copy,[status(thm)],[446]) ).
thf(466,plain,
( ( ! [T: b] :
( ( graph_529870330at_nat @ ( produc1542243159_b_nat @ ( standa1360217389rule_b @ T ) ) @ ( produc194497945_b_nat @ ( standa1360217389rule_b @ T ) ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ ( standa1360217389rule_b @ T ) ) ) ) )
& ( ( produc194497945_b_nat @ ( standa1360217389rule_b @ T ) )
= ( restrict_b_nat @ ( produc194497945_b_nat @ ( standa1360217389rule_b @ T ) ) ) )
& ( finite_finite_nat @ ( labele460410879_b_nat @ ( produc194497945_b_nat @ ( standa1360217389rule_b @ T ) ) ) )
& ( finite1987068434at_nat @ ( labeled_edges_b_nat @ ( produc194497945_b_nat @ ( standa1360217389rule_b @ T ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[445]) ).
thf(467,plain,
( ( ! [X: allegorical_term_b] : ( finite_finite_nat @ ( labele460410879_b_nat @ ( translation_b @ X ) ) ) )
= $true ),
inference(copy,[status(thm)],[444]) ).
thf(468,plain,
( ( ! [I: b] :
( ( graph_529870330at_nat @ ( produc1542243159_b_nat @ ( standa1329480013rule_b @ I ) ) @ ( produc194497945_b_nat @ ( standa1329480013rule_b @ I ) ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ ( standa1329480013rule_b @ I ) ) ) ) )
& ( ( produc194497945_b_nat @ ( standa1329480013rule_b @ I ) )
= ( restrict_b_nat @ ( produc194497945_b_nat @ ( standa1329480013rule_b @ I ) ) ) )
& ( finite_finite_nat @ ( labele460410879_b_nat @ ( produc194497945_b_nat @ ( standa1329480013rule_b @ I ) ) ) )
& ( finite1987068434at_nat @ ( labeled_edges_b_nat @ ( produc194497945_b_nat @ ( standa1329480013rule_b @ I ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[443]) ).
thf(469,plain,
( ( ! [Prod: produc1478835367term_b] :
( ( produc1990145943term_b @ ( produc854192515term_b @ Prod ) @ ( produc1223098053term_b @ Prod ) )
= Prod ) )
= $true ),
inference(copy,[status(thm)],[442]) ).
thf(470,plain,
( ( ! [Prod: produc1235635379_b_nat] :
( ( produc951298923_b_nat @ ( produc1542243159_b_nat @ Prod ) @ ( produc194497945_b_nat @ Prod ) )
= Prod ) )
= $true ),
inference(copy,[status(thm)],[441]) ).
thf(471,plain,
( ( translation_b
= ( ^ [X2: allegorical_term_b] : ( restrict_b_nat @ ( translation_b @ X2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[440]) ).
thf(472,plain,
( ( ! [G: labeled_graph_b_nat] :
( ( labele460410879_b_nat @ ( restrict_b_nat @ G ) )
= ( labele460410879_b_nat @ G ) ) )
= $true ),
inference(copy,[status(thm)],[439]) ).
thf(473,plain,
( ( ! [A: labeled_graph_b_nat,B: labeled_graph_b_nat,A2: labeled_graph_b_nat,B2: labeled_graph_b_nat] :
( ( ( produc951298923_b_nat @ A @ B )
= ( produc951298923_b_nat @ A2 @ B2 ) )
= ( ( A = A2 )
& ( B = B2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[438]) ).
thf(474,plain,
( ( ! [A: allegorical_term_b,B: allegorical_term_b,A2: allegorical_term_b,B2: allegorical_term_b] :
( ( ( produc1990145943term_b @ A @ B )
= ( produc1990145943term_b @ A2 @ B2 ) )
= ( ( A = A2 )
& ( B = B2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[437]) ).
thf(475,plain,
( ( ! [X1: labeled_graph_b_nat,X22: labeled_graph_b_nat,Y1: labeled_graph_b_nat,Y2: labeled_graph_b_nat] :
( ( ( produc951298923_b_nat @ X1 @ X22 )
= ( produc951298923_b_nat @ Y1 @ Y2 ) )
= ( ( X1 = Y1 )
& ( X22 = Y2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[436]) ).
thf(476,plain,
( ( ! [X1: allegorical_term_b,X22: allegorical_term_b,Y1: allegorical_term_b,Y2: allegorical_term_b] :
( ( ( produc1990145943term_b @ X1 @ X22 )
= ( produc1990145943term_b @ Y1 @ Y2 ) )
= ( ( X1 = Y1 )
& ( X22 = Y2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[435]) ).
thf(477,plain,
( ( ! [X3: labeled_graph_b_nat] :
( ( restrict_b_nat @ ( restrict_b_nat @ X3 ) )
= ( restrict_b_nat @ X3 ) ) )
= $true ),
inference(copy,[status(thm)],[434]) ).
thf(478,plain,
( ( ! [P: produc1235635379_b_nat > $o,Prod: produc1235635379_b_nat] :
( ! [A3: labeled_graph_b_nat,B3: labeled_graph_b_nat] : ( P @ ( produc951298923_b_nat @ A3 @ B3 ) )
=> ( P @ Prod ) ) )
= $true ),
inference(copy,[status(thm)],[433]) ).
thf(479,plain,
( ( ! [P: produc1478835367term_b > $o,Prod: produc1478835367term_b] :
( ! [A3: allegorical_term_b,B3: allegorical_term_b] : ( P @ ( produc1990145943term_b @ A3 @ B3 ) )
=> ( P @ Prod ) ) )
= $true ),
inference(copy,[status(thm)],[432]) ).
thf(480,plain,
( ( ! [Y3: produc1235635379_b_nat] :
~ ! [A3: labeled_graph_b_nat,B3: labeled_graph_b_nat] :
( Y3
!= ( produc951298923_b_nat @ A3 @ B3 ) ) )
= $true ),
inference(copy,[status(thm)],[431]) ).
thf(481,plain,
( ( ! [Y3: produc1478835367term_b] :
~ ! [A3: allegorical_term_b,B3: allegorical_term_b] :
( Y3
!= ( produc1990145943term_b @ A3 @ B3 ) ) )
= $true ),
inference(copy,[status(thm)],[430]) ).
thf(482,plain,
( ( ! [A: labeled_graph_b_nat,B: labeled_graph_b_nat,A2: labeled_graph_b_nat,B2: labeled_graph_b_nat] :
( ( ( produc951298923_b_nat @ A @ B )
= ( produc951298923_b_nat @ A2 @ B2 ) )
=> ~ ( ( A = A2 )
=> ( B != B2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[429]) ).
thf(483,plain,
( ( ! [A: allegorical_term_b,B: allegorical_term_b,A2: allegorical_term_b,B2: allegorical_term_b] :
( ( ( produc1990145943term_b @ A @ B )
= ( produc1990145943term_b @ A2 @ B2 ) )
=> ~ ( ( A = A2 )
=> ( B != B2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[428]) ).
thf(484,plain,
( ( ! [P: produc1235635379_b_nat > $o,P2: produc1235635379_b_nat] :
( ! [A3: labeled_graph_b_nat,B3: labeled_graph_b_nat] : ( P @ ( produc951298923_b_nat @ A3 @ B3 ) )
=> ( P @ P2 ) ) )
= $true ),
inference(copy,[status(thm)],[427]) ).
thf(485,plain,
( ( ! [P: produc1478835367term_b > $o,P2: produc1478835367term_b] :
( ! [A3: allegorical_term_b,B3: allegorical_term_b] : ( P @ ( produc1990145943term_b @ A3 @ B3 ) )
=> ( P @ P2 ) ) )
= $true ),
inference(copy,[status(thm)],[426]) ).
thf(486,plain,
( ( ! [P2: produc1235635379_b_nat] :
? [X4: labeled_graph_b_nat,Y4: labeled_graph_b_nat] :
( P2
= ( produc951298923_b_nat @ X4 @ Y4 ) ) )
= $true ),
inference(copy,[status(thm)],[425]) ).
thf(487,plain,
( ( ! [P2: produc1478835367term_b] :
? [X4: allegorical_term_b,Y4: allegorical_term_b] :
( P2
= ( produc1990145943term_b @ X4 @ Y4 ) ) )
= $true ),
inference(copy,[status(thm)],[424]) ).
thf(488,plain,
( ( ! [X1: labeled_graph_b_nat,X22: labeled_graph_b_nat] :
( ( produc1542243159_b_nat @ ( produc951298923_b_nat @ X1 @ X22 ) )
= X1 ) )
= $true ),
inference(copy,[status(thm)],[423]) ).
thf(489,plain,
( ( ! [X1: allegorical_term_b,X22: allegorical_term_b] :
( ( produc854192515term_b @ ( produc1990145943term_b @ X1 @ X22 ) )
= X1 ) )
= $true ),
inference(copy,[status(thm)],[422]) ).
thf(490,plain,
( ( ! [X3: labeled_graph_b_nat,Y3: labeled_graph_b_nat,A: labeled_graph_b_nat] :
( ( ( produc1542243159_b_nat @ ( produc951298923_b_nat @ X3 @ Y3 ) )
= A )
=> ( X3 = A ) ) )
= $true ),
inference(copy,[status(thm)],[421]) ).
thf(491,plain,
( ( ! [X3: allegorical_term_b,Y3: allegorical_term_b,A: allegorical_term_b] :
( ( ( produc854192515term_b @ ( produc1990145943term_b @ X3 @ Y3 ) )
= A )
=> ( X3 = A ) ) )
= $true ),
inference(copy,[status(thm)],[420]) ).
thf(492,plain,
( ( ! [X1: allegorical_term_b,X22: allegorical_term_b] :
( ( produc1223098053term_b @ ( produc1990145943term_b @ X1 @ X22 ) )
= X22 ) )
= $true ),
inference(copy,[status(thm)],[419]) ).
thf(493,plain,
( ( ! [X1: labeled_graph_b_nat,X22: labeled_graph_b_nat] :
( ( produc194497945_b_nat @ ( produc951298923_b_nat @ X1 @ X22 ) )
= X22 ) )
= $true ),
inference(copy,[status(thm)],[418]) ).
thf(494,plain,
( ( ! [X3: allegorical_term_b,Y3: allegorical_term_b,A: allegorical_term_b] :
( ( ( produc1223098053term_b @ ( produc1990145943term_b @ X3 @ Y3 ) )
= A )
=> ( Y3 = A ) ) )
= $true ),
inference(copy,[status(thm)],[417]) ).
thf(495,plain,
( ( ! [X3: labeled_graph_b_nat,Y3: labeled_graph_b_nat,A: labeled_graph_b_nat] :
( ( ( produc194497945_b_nat @ ( produc951298923_b_nat @ X3 @ Y3 ) )
= A )
=> ( Y3 = A ) ) )
= $true ),
inference(copy,[status(thm)],[416]) ).
thf(496,plain,
( ( ( ^ [Y5: produc1478835367term_b,Z: produc1478835367term_b] : ( Y5 = Z ) )
= ( ^ [S: produc1478835367term_b,T2: produc1478835367term_b] :
( ( ( produc854192515term_b @ S )
= ( produc854192515term_b @ T2 ) )
& ( ( produc1223098053term_b @ S )
= ( produc1223098053term_b @ T2 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[415]) ).
thf(497,plain,
( ( ( ^ [Y5: produc1235635379_b_nat,Z: produc1235635379_b_nat] : ( Y5 = Z ) )
= ( ^ [S: produc1235635379_b_nat,T2: produc1235635379_b_nat] :
( ( ( produc1542243159_b_nat @ S )
= ( produc1542243159_b_nat @ T2 ) )
& ( ( produc194497945_b_nat @ S )
= ( produc194497945_b_nat @ T2 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[414]) ).
thf(498,plain,
( ( ! [Prod: produc1478835367term_b,Prod2: produc1478835367term_b] :
( ( ( ( produc854192515term_b @ Prod )
= ( produc854192515term_b @ Prod2 ) )
& ( ( produc1223098053term_b @ Prod )
= ( produc1223098053term_b @ Prod2 ) ) )
=> ( Prod = Prod2 ) ) )
= $true ),
inference(copy,[status(thm)],[413]) ).
thf(499,plain,
( ( ! [Prod: produc1235635379_b_nat,Prod2: produc1235635379_b_nat] :
( ( ( ( produc1542243159_b_nat @ Prod )
= ( produc1542243159_b_nat @ Prod2 ) )
& ( ( produc194497945_b_nat @ Prod )
= ( produc194497945_b_nat @ Prod2 ) ) )
=> ( Prod = Prod2 ) ) )
= $true ),
inference(copy,[status(thm)],[412]) ).
thf(500,plain,
( ( ! [P2: produc1478835367term_b,Q: produc1478835367term_b] :
( ( ( produc854192515term_b @ P2 )
= ( produc854192515term_b @ Q ) )
=> ( ( ( produc1223098053term_b @ P2 )
= ( produc1223098053term_b @ Q ) )
=> ( P2 = Q ) ) ) )
= $true ),
inference(copy,[status(thm)],[411]) ).
thf(501,plain,
( ( ! [P2: produc1235635379_b_nat,Q: produc1235635379_b_nat] :
( ( ( produc1542243159_b_nat @ P2 )
= ( produc1542243159_b_nat @ Q ) )
=> ( ( ( produc194497945_b_nat @ P2 )
= ( produc194497945_b_nat @ Q ) )
=> ( P2 = Q ) ) ) )
= $true ),
inference(copy,[status(thm)],[410]) ).
thf(502,plain,
( ( ! [Labeled_graph: labeled_graph_b_nat,Labeled_graph2: labeled_graph_b_nat] :
( ( ( ( labeled_edges_b_nat @ Labeled_graph )
= ( labeled_edges_b_nat @ Labeled_graph2 ) )
& ( ( labele460410879_b_nat @ Labeled_graph )
= ( labele460410879_b_nat @ Labeled_graph2 ) ) )
=> ( Labeled_graph = Labeled_graph2 ) ) )
= $true ),
inference(copy,[status(thm)],[409]) ).
thf(503,plain,
( ( ! [T: produc1478835367term_b] :
( T
= ( produc1990145943term_b @ ( produc854192515term_b @ T ) @ ( produc1223098053term_b @ T ) ) ) )
= $true ),
inference(copy,[status(thm)],[408]) ).
thf(504,plain,
( ( ! [T: produc1235635379_b_nat] :
( T
= ( produc951298923_b_nat @ ( produc1542243159_b_nat @ T ) @ ( produc194497945_b_nat @ T ) ) ) )
= $true ),
inference(copy,[status(thm)],[407]) ).
thf(505,plain,
( ( ! [Prod: produc1478835367term_b] :
( Prod
= ( produc1990145943term_b @ ( produc854192515term_b @ Prod ) @ ( produc1223098053term_b @ Prod ) ) ) )
= $true ),
inference(copy,[status(thm)],[406]) ).
thf(506,plain,
( ( ! [Prod: produc1235635379_b_nat] :
( Prod
= ( produc951298923_b_nat @ ( produc1542243159_b_nat @ Prod ) @ ( produc194497945_b_nat @ Prod ) ) ) )
= $true ),
inference(copy,[status(thm)],[405]) ).
thf(507,plain,
( ( ! [A4: labeled_graph_b_nat,B4: labeled_graph_b_nat,X: labeled_graph_b_nat,H: set_Pr1986765409at_nat] :
( ( graph_529870330at_nat @ A4 @ B4 @ ( id_on_nat @ ( labele460410879_b_nat @ A4 ) ) )
=> ( ( graph_529870330at_nat @ X @ A4 @ H )
=> ( graph_529870330at_nat @ X @ B4 @ H ) ) ) )
= $true ),
inference(copy,[status(thm)],[404]) ).
thf(508,plain,
( ( ! [G_1: labeled_graph_b_nat,G_2: labeled_graph_b_nat,G_3: labeled_graph_b_nat] :
( ( graph_529870330at_nat @ G_1 @ G_2 @ ( id_on_nat @ ( labele460410879_b_nat @ G_1 ) ) )
=> ( ( graph_529870330at_nat @ G_2 @ G_3 @ ( id_on_nat @ ( labele460410879_b_nat @ G_2 ) ) )
=> ( graph_529870330at_nat @ G_1 @ G_3 @ ( id_on_nat @ ( labele460410879_b_nat @ G_1 ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[403]) ).
thf(509,plain,
( ( ! [X: allegorical_term_b] : ( inv_translation @ ( labele460410879_b_nat @ ( translation_b @ X ) ) ) )
= $true ),
inference(copy,[status(thm)],[402]) ).
thf(510,plain,
( ( ! [P: allegorical_term_b > allegorical_term_b > $o,X3: allegorical_term_b,Y3: allegorical_term_b,A: produc1478835367term_b] :
( ( P @ X3 @ Y3 )
=> ( ( A
= ( produc1990145943term_b @ X3 @ Y3 ) )
=> ( P @ ( produc854192515term_b @ A ) @ ( produc1223098053term_b @ A ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[401]) ).
thf(511,plain,
( ( ! [P: labeled_graph_b_nat > labeled_graph_b_nat > $o,X3: labeled_graph_b_nat,Y3: labeled_graph_b_nat,A: produc1235635379_b_nat] :
( ( P @ X3 @ Y3 )
=> ( ( A
= ( produc951298923_b_nat @ X3 @ Y3 ) )
=> ( P @ ( produc1542243159_b_nat @ A ) @ ( produc194497945_b_nat @ A ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[400]) ).
thf(512,plain,
( ( ! [P: allegorical_term_b > $o,P2: allegorical_term_b,Q2: allegorical_term_b > $o,Q: allegorical_term_b] :
( ( P @ P2 )
=> ( ( Q2 @ Q )
=> ( ( P @ ( produc854192515term_b @ ( produc1990145943term_b @ P2 @ Q ) ) )
& ( Q2 @ ( produc1223098053term_b @ ( produc1990145943term_b @ P2 @ Q ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[399]) ).
thf(513,plain,
( ( ! [P: labeled_graph_b_nat > $o,P2: labeled_graph_b_nat,Q2: labeled_graph_b_nat > $o,Q: labeled_graph_b_nat] :
( ( P @ P2 )
=> ( ( Q2 @ Q )
=> ( ( P @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ P2 @ Q ) ) )
& ( Q2 @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ P2 @ Q ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[398]) ).
thf(514,plain,
( ( ! [P: allegorical_term_b > allegorical_term_b > $o,Y3: allegorical_term_b,X3: allegorical_term_b] :
( ( P @ Y3 @ X3 )
=> ( P @ ( produc1223098053term_b @ ( produc1990145943term_b @ X3 @ Y3 ) ) @ ( produc854192515term_b @ ( produc1990145943term_b @ X3 @ Y3 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[397]) ).
thf(515,plain,
( ( ! [P: labeled_graph_b_nat > labeled_graph_b_nat > $o,Y3: labeled_graph_b_nat,X3: labeled_graph_b_nat] :
( ( P @ Y3 @ X3 )
=> ( P @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ X3 @ Y3 ) ) @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ X3 @ Y3 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[396]) ).
thf(516,plain,
( ( ! [X11: allegorical_term_b,X12: allegorical_term_b,Y11: allegorical_term_b,Y12: allegorical_term_b] :
( ( ( allegorical_A_Int_b @ X11 @ X12 )
= ( allegorical_A_Int_b @ Y11 @ Y12 ) )
= ( ( X11 = Y11 )
& ( X12 = Y12 ) ) ) )
= $true ),
inference(copy,[status(thm)],[395]) ).
thf(517,plain,
( ( ! [R: labeled_graph_b_nat,G: labeled_graph_b_nat,F3: set_Pr1986765409at_nat] :
( ( graph_529870330at_nat @ R @ G @ F3 )
=> ( extensible_b_nat_nat @ ( produc951298923_b_nat @ R @ R ) @ G @ F3 ) ) )
= $true ),
inference(copy,[status(thm)],[394]) ).
thf(518,plain,
( ( ! [P: allegorical_term_b > allegorical_term_b > $o,P2: produc1478835367term_b] :
( ( P @ ( produc1223098053term_b @ P2 ) @ ( produc854192515term_b @ P2 ) )
=> ~ ! [X4: allegorical_term_b,Y4: allegorical_term_b] :
~ ( P @ Y4 @ X4 ) ) )
= $true ),
inference(copy,[status(thm)],[393]) ).
thf(519,plain,
( ( ! [P: labeled_graph_b_nat > labeled_graph_b_nat > $o,P2: produc1235635379_b_nat] :
( ( P @ ( produc194497945_b_nat @ P2 ) @ ( produc1542243159_b_nat @ P2 ) )
=> ~ ! [X4: labeled_graph_b_nat,Y4: labeled_graph_b_nat] :
~ ( P @ Y4 @ X4 ) ) )
= $true ),
inference(copy,[status(thm)],[392]) ).
thf(520,plain,
( ( ! [X3: produc1478835367term_b,Y3: allegorical_term_b,Z2: allegorical_term_b] :
( ( X3
= ( produc1990145943term_b @ Y3 @ Z2 ) )
=> ( ( produc1223098053term_b @ X3 )
= Z2 ) ) )
= $true ),
inference(copy,[status(thm)],[391]) ).
thf(521,plain,
( ( ! [X3: produc1235635379_b_nat,Y3: labeled_graph_b_nat,Z2: labeled_graph_b_nat] :
( ( X3
= ( produc951298923_b_nat @ Y3 @ Z2 ) )
=> ( ( produc194497945_b_nat @ X3 )
= Z2 ) ) )
= $true ),
inference(copy,[status(thm)],[390]) ).
thf(522,plain,
( ( ! [X3: produc1235635379_b_nat,Y3: labeled_graph_b_nat,Z2: labeled_graph_b_nat] :
( ( X3
= ( produc951298923_b_nat @ Y3 @ Z2 ) )
=> ( ( produc1542243159_b_nat @ X3 )
= Y3 ) ) )
= $true ),
inference(copy,[status(thm)],[389]) ).
thf(523,plain,
( ( ! [X3: produc1478835367term_b,Y3: allegorical_term_b,Z2: allegorical_term_b] :
( ( X3
= ( produc1990145943term_b @ Y3 @ Z2 ) )
=> ( ( produc854192515term_b @ X3 )
= Y3 ) ) )
= $true ),
inference(copy,[status(thm)],[388]) ).
thf(524,plain,
( ( ! [S2: nat > labeled_graph_b_nat,I: nat] :
( ( chain_b_nat @ S2 )
=> ( ( S2 @ I )
= ( restrict_b_nat @ ( S2 @ I ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[387]) ).
thf(525,plain,
( ( ! [B: allegorical_term_b,P2: produc1478835367term_b] :
( ( B
= ( produc1223098053term_b @ P2 ) )
= ( ? [A5: allegorical_term_b] :
( P2
= ( produc1990145943term_b @ A5 @ B ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[386]) ).
thf(526,plain,
( ( ! [B: labeled_graph_b_nat,P2: produc1235635379_b_nat] :
( ( B
= ( produc194497945_b_nat @ P2 ) )
= ( ? [A5: labeled_graph_b_nat] :
( P2
= ( produc951298923_b_nat @ A5 @ B ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[385]) ).
thf(527,plain,
( ( ! [A: labeled_graph_b_nat,P2: produc1235635379_b_nat] :
( ( A
= ( produc1542243159_b_nat @ P2 ) )
= ( ? [B5: labeled_graph_b_nat] :
( P2
= ( produc951298923_b_nat @ A @ B5 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[384]) ).
thf(528,plain,
( ( ! [A: allegorical_term_b,P2: produc1478835367term_b] :
( ( A
= ( produc854192515term_b @ P2 ) )
= ( ? [B5: allegorical_term_b] :
( P2
= ( produc1990145943term_b @ A @ B5 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[383]) ).
thf(529,plain,
( ( ! [Labeled_graph: labeled_graph_b_nat] :
( ( labeled_LG_b_nat @ ( labeled_edges_b_nat @ Labeled_graph ) @ ( labele460410879_b_nat @ Labeled_graph ) )
= Labeled_graph ) )
= $true ),
inference(copy,[status(thm)],[382]) ).
thf(530,plain,
( ( ! [A4: set_nat,B4: set_nat] :
( ( ord_less_eq_set_nat @ A4 @ B4 )
=> ( ( finite_finite_nat @ B4 )
=> ( finite_finite_nat @ A4 ) ) ) )
= $true ),
inference(copy,[status(thm)],[381]) ).
thf(531,plain,
( ( ! [A4: set_Pr9961929at_nat,B4: set_Pr9961929at_nat] :
( ( ord_le910748009at_nat @ A4 @ B4 )
=> ( ( finite1987068434at_nat @ B4 )
=> ( finite1987068434at_nat @ A4 ) ) ) )
= $true ),
inference(copy,[status(thm)],[380]) ).
thf(532,plain,
( ( ! [S2: set_nat,T3: set_nat] :
( ( ord_less_eq_set_nat @ S2 @ T3 )
=> ( ~ ( finite_finite_nat @ S2 )
=> ~ ( finite_finite_nat @ T3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[379]) ).
thf(533,plain,
( ( ! [S2: set_Pr9961929at_nat,T3: set_Pr9961929at_nat] :
( ( ord_le910748009at_nat @ S2 @ T3 )
=> ( ~ ( finite1987068434at_nat @ S2 )
=> ~ ( finite1987068434at_nat @ T3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[378]) ).
thf(534,plain,
( ( ! [B4: set_nat,A4: set_nat] :
( ( finite_finite_nat @ B4 )
=> ( ( ord_less_eq_set_nat @ A4 @ B4 )
=> ( finite_finite_nat @ A4 ) ) ) )
= $true ),
inference(copy,[status(thm)],[377]) ).
thf(535,plain,
( ( ! [B4: set_Pr9961929at_nat,A4: set_Pr9961929at_nat] :
( ( finite1987068434at_nat @ B4 )
=> ( ( ord_le910748009at_nat @ A4 @ B4 )
=> ( finite1987068434at_nat @ A4 ) ) ) )
= $true ),
inference(copy,[status(thm)],[376]) ).
thf(536,plain,
( ( ! [X1: set_Pr9961929at_nat,X22: set_nat] :
( ( labele460410879_b_nat @ ( labeled_LG_b_nat @ X1 @ X22 ) )
= X22 ) )
= $true ),
inference(copy,[status(thm)],[375]) ).
thf(537,plain,
( ( ! [X1: set_Pr9961929at_nat,X22: set_nat] :
( ( labeled_edges_b_nat @ ( labeled_LG_b_nat @ X1 @ X22 ) )
= X1 ) )
= $true ),
inference(copy,[status(thm)],[374]) ).
thf(538,plain,
( ( ! [G: labeled_graph_b_nat] :
( ( ord_le910748009at_nat @ ( labeled_edges_b_nat @ G ) @ ( labeled_edges_b_nat @ ( restrict_b_nat @ G ) ) )
=> ( G
= ( restrict_b_nat @ G ) ) ) )
= $true ),
inference(copy,[status(thm)],[373]) ).
thf(539,plain,
( ( ! [Labeled_graph: labeled_graph_b_nat] :
( Labeled_graph
= ( labeled_LG_b_nat @ ( labeled_edges_b_nat @ Labeled_graph ) @ ( labele460410879_b_nat @ Labeled_graph ) ) ) )
= $true ),
inference(copy,[status(thm)],[372]) ).
thf(540,plain,
( ( ! [G_1: labeled_graph_b_nat,G_2: labeled_graph_b_nat] :
( ( graph_529870330at_nat @ G_1 @ G_2 @ ( id_on_nat @ ( labele460410879_b_nat @ G_1 ) ) )
=> ( ord_less_eq_set_nat @ ( labele460410879_b_nat @ G_1 ) @ ( labele460410879_b_nat @ G_2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[371]) ).
thf(541,plain,
( ( ! [G_1: labeled_graph_b_nat,G_2: labeled_graph_b_nat] :
( ( graph_529870330at_nat @ G_1 @ G_2 @ ( id_on_nat @ ( labele460410879_b_nat @ G_1 ) ) )
=> ( ord_le910748009at_nat @ ( labeled_edges_b_nat @ ( restrict_b_nat @ G_1 ) ) @ ( labeled_edges_b_nat @ G_2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[370]) ).
thf(542,plain,
( ( ! [G_1: labeled_graph_b_nat,G_2: labeled_graph_b_nat] :
( ( G_1
= ( restrict_b_nat @ G_1 ) )
=> ( ( G_2
= ( restrict_b_nat @ G_2 ) )
=> ( ( graph_union_b_nat @ G_1 @ G_2 )
= ( restrict_b_nat @ ( graph_union_b_nat @ G_1 @ G_2 ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[369]) ).
thf(543,plain,
( ( ! [G_1: labeled_graph_b_nat,G_2: labeled_graph_b_nat] :
( ( graph_529870330at_nat @ G_1 @ G_2 @ ( id_on_nat @ ( labele460410879_b_nat @ G_1 ) ) )
= ( ( G_1
= ( restrict_b_nat @ G_1 ) )
& ( G_2
= ( restrict_b_nat @ G_2 ) )
& ( ( graph_union_b_nat @ G_1 @ G_2 )
= G_2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[368]) ).
thf(544,plain,
( ( ! [A: labeled_graph_b_nat,B: labeled_graph_b_nat,X3: set_Pr1986765409at_nat,C2: labeled_graph_b_nat,Y3: set_Pr1986765409at_nat] :
( ( graph_529870330at_nat @ A @ B @ X3 )
=> ( ( graph_529870330at_nat @ B @ C2 @ Y3 )
=> ( graph_529870330at_nat @ A @ C2 @ ( relcomp_nat_nat_nat @ X3 @ Y3 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[367]) ).
thf(545,plain,
( ( finite_finite_nat @ bot_bot_set_nat )
= $true ),
inference(copy,[status(thm)],[366]) ).
thf(546,plain,
( ( finite1987068434at_nat @ bot_bo1626616373at_nat )
= $true ),
inference(copy,[status(thm)],[365]) ).
thf(547,plain,
( ( ! [S2: set_nat] :
( ~ ( finite_finite_nat @ S2 )
=> ( S2 != bot_bot_set_nat ) ) )
= $true ),
inference(copy,[status(thm)],[364]) ).
thf(548,plain,
( ( ! [S2: set_Pr9961929at_nat] :
( ~ ( finite1987068434at_nat @ S2 )
=> ( S2 != bot_bo1626616373at_nat ) ) )
= $true ),
inference(copy,[status(thm)],[363]) ).
thf(549,plain,
( ( ! [R4: labeled_graph_b_nat,S4: labeled_graph_b_nat,R: set_Pr551076371_b_nat,S5: labeled_graph_b_nat] :
( ( member963855452_b_nat @ ( produc951298923_b_nat @ R4 @ S4 ) @ R )
=> ( ( S5 = S4 )
=> ( member963855452_b_nat @ ( produc951298923_b_nat @ R4 @ S5 ) @ R ) ) ) )
= $true ),
inference(copy,[status(thm)],[362]) ).
thf(550,plain,
( ( ! [R4: allegorical_term_b,S4: allegorical_term_b,R: set_Pr1163220871term_b,S5: allegorical_term_b] :
( ( member516522448term_b @ ( produc1990145943term_b @ R4 @ S4 ) @ R )
=> ( ( S5 = S4 )
=> ( member516522448term_b @ ( produc1990145943term_b @ R4 @ S5 ) @ R ) ) ) )
= $true ),
inference(copy,[status(thm)],[361]) ).
thf(551,plain,
( ( ! [X3: set_nat] : ( univalent_nat_nat @ ( id_on_nat @ X3 ) ) )
= $true ),
inference(copy,[status(thm)],[360]) ).
thf(552,plain,
( ( ! [A4: set_nat] :
( ( domain_nat_nat @ ( id_on_nat @ A4 ) )
= A4 ) )
= $true ),
inference(copy,[status(thm)],[359]) ).
thf(553,plain,
( ( ~ ( graph_529870330at_nat @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ ( translation_b @ ( produc854192515term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) @ ( translation_b @ ( produc1223098053term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) ) ) @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ ( produc854192515term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) @ ( translation_b @ ( produc1223098053term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) ) ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ ( translation_b @ ( produc854192515term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) @ ( translation_b @ ( produc1223098053term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[456]) ).
thf(554,plain,
( ( ! [SX0: produc1235635379_b_nat] :
~ ! [SX1: labeled_graph_b_nat] :
~ ~ ! [SX2: labeled_graph_b_nat] :
( SX0
!= ( produc951298923_b_nat @ SX1 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[486]) ).
thf(555,plain,
( ( ! [SX0: allegorical_term_b > allegorical_term_b > $o,SX1: allegorical_term_b,SX2: allegorical_term_b,SX3: produc1478835367term_b] :
( ~ ( SX0 @ SX1 @ SX2 )
| ( SX3
!= ( produc1990145943term_b @ SX1 @ SX2 ) )
| ( SX0 @ ( produc854192515term_b @ SX3 ) @ ( produc1223098053term_b @ SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[510]) ).
thf(556,plain,
( ( ! [SX0: nat > labeled_graph_b_nat,SX1: nat] :
( ~ ( chain_b_nat @ SX0 )
| ( ( SX0 @ SX1 )
= ( restrict_b_nat @ ( SX0 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[524]) ).
thf(557,plain,
( ( ! [SX0: allegorical_term_b,SX1: allegorical_term_b,SX2: allegorical_term_b] :
( ( ( produc1223098053term_b @ ( produc1990145943term_b @ SX0 @ SX1 ) )
!= SX2 )
| ( SX1 = SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[494]) ).
thf(558,plain,
( ( ! [SX0: set_Pr9961929at_nat,SX1: set_Pr9961929at_nat] :
( ~ ( ord_le910748009at_nat @ SX0 @ SX1 )
| ~ ( finite1987068434at_nat @ SX1 )
| ( finite1987068434at_nat @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[531]) ).
thf(559,plain,
( ( ! [SX0: labeled_graph_b_nat,SX1: labeled_graph_b_nat,SX2: set_Pr551076371_b_nat,SX3: labeled_graph_b_nat] :
( ~ ( member963855452_b_nat @ ( produc951298923_b_nat @ SX0 @ SX1 ) @ SX2 )
| ( SX3 != SX1 )
| ( member963855452_b_nat @ ( produc951298923_b_nat @ SX0 @ SX3 ) @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[549]) ).
thf(560,plain,
( ( ! [SX0: labeled_graph_b_nat,SX1: produc1235635379_b_nat] :
( ( SX0
= ( produc1542243159_b_nat @ SX1 ) )
= ( ~ ! [SX2: labeled_graph_b_nat] :
( SX1
!= ( produc951298923_b_nat @ SX0 @ SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[527]) ).
thf(561,plain,
( ( ! [SX0: labeled_graph_b_nat,SX1: labeled_graph_b_nat,SX2: labeled_graph_b_nat,SX3: labeled_graph_b_nat] :
( ( ( produc951298923_b_nat @ SX0 @ SX1 )
= ( produc951298923_b_nat @ SX2 @ SX3 ) )
= ( ~ ( ( SX0 != SX2 )
| ( SX1 != SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[473]) ).
thf(562,plain,
( ( ! [SX0: produc1235635379_b_nat,SX1: produc1235635379_b_nat] :
( ( ( produc1542243159_b_nat @ SX0 )
!= ( produc1542243159_b_nat @ SX1 ) )
| ( ( produc194497945_b_nat @ SX0 )
!= ( produc194497945_b_nat @ SX1 ) )
| ( SX0 = SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[501]) ).
thf(563,plain,
( ( ! [SX0: allegorical_term_b,SX1: produc1478835367term_b] :
( ( SX0
= ( produc1223098053term_b @ SX1 ) )
= ( ~ ! [SX2: allegorical_term_b] :
( SX1
!= ( produc1990145943term_b @ SX2 @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[525]) ).
thf(564,plain,
( ( ! [SX0: labeled_graph_b_nat,SX1: labeled_graph_b_nat] :
( ( SX0
!= ( restrict_b_nat @ SX0 ) )
| ( SX1
!= ( restrict_b_nat @ SX1 ) )
| ( ( graph_union_b_nat @ SX0 @ SX1 )
= ( restrict_b_nat @ ( graph_union_b_nat @ SX0 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[542]) ).
thf(565,plain,
( ( ! [SX0: labeled_graph_b_nat > labeled_graph_b_nat > $o,SX1: labeled_graph_b_nat,SX2: labeled_graph_b_nat] :
( ~ ( SX0 @ SX1 @ SX2 )
| ( SX0 @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ SX2 @ SX1 ) ) @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ SX2 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[515]) ).
thf(566,plain,
( ( ! [SX0: labeled_graph_b_nat,SX1: labeled_graph_b_nat] :
( ~ ( graph_529870330at_nat @ SX0 @ SX1 @ ( id_on_nat @ ( labele460410879_b_nat @ SX0 ) ) )
| ( ord_le910748009at_nat @ ( labeled_edges_b_nat @ ( restrict_b_nat @ SX0 ) ) @ ( labeled_edges_b_nat @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[541]) ).
thf(567,plain,
( ( ! [SX0: labeled_graph_b_nat,SX1: labeled_graph_b_nat,SX2: labeled_graph_b_nat,SX3: labeled_graph_b_nat] :
( ( ( produc951298923_b_nat @ SX0 @ SX1 )
= ( produc951298923_b_nat @ SX2 @ SX3 ) )
= ( ~ ( ( SX0 != SX2 )
| ( SX1 != SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[475]) ).
thf(568,plain,
( ( ! [SX0: produc1478835367term_b,SX1: allegorical_term_b,SX2: allegorical_term_b] :
( ( SX0
!= ( produc1990145943term_b @ SX1 @ SX2 ) )
| ( ( produc1223098053term_b @ SX0 )
= SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[520]) ).
thf(569,plain,
( ( ! [SX0: allegorical_term_b,SX1: produc1478835367term_b] :
( ( SX0
= ( produc854192515term_b @ SX1 ) )
= ( ~ ! [SX2: allegorical_term_b] :
( SX1
!= ( produc1990145943term_b @ SX0 @ SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[528]) ).
thf(570,plain,
( ( ! [SX0: produc1235635379_b_nat > $o,SX1: produc1235635379_b_nat] :
( ~ ! [SX2: labeled_graph_b_nat,SX3: labeled_graph_b_nat] : ( SX0 @ ( produc951298923_b_nat @ SX2 @ SX3 ) )
| ( SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[478]) ).
thf(571,plain,
( ( ! [SX0: labeled_graph_b_nat,SX1: labeled_graph_b_nat,SX2: set_Pr1986765409at_nat,SX3: labeled_graph_b_nat,SX4: set_Pr1986765409at_nat] :
( ~ ( graph_529870330at_nat @ SX0 @ SX1 @ SX2 )
| ~ ( graph_529870330at_nat @ SX1 @ SX3 @ SX4 )
| ( graph_529870330at_nat @ SX0 @ SX3 @ ( relcomp_nat_nat_nat @ SX2 @ SX4 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[544]) ).
thf(572,plain,
( ( ! [SX0: labeled_graph_b_nat,SX1: labeled_graph_b_nat,SX2: labeled_graph_b_nat] :
( ~ ( graph_529870330at_nat @ SX0 @ SX1 @ ( id_on_nat @ ( labele460410879_b_nat @ SX0 ) ) )
| ~ ( graph_529870330at_nat @ SX1 @ SX2 @ ( id_on_nat @ ( labele460410879_b_nat @ SX1 ) ) )
| ( graph_529870330at_nat @ SX0 @ SX2 @ ( id_on_nat @ ( labele460410879_b_nat @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[508]) ).
thf(573,plain,
( ( ! [SX0: set_nat,SX1: set_nat] :
( ~ ( ord_less_eq_set_nat @ SX0 @ SX1 )
| ~ ~ ( finite_finite_nat @ SX0 )
| ~ ( finite_finite_nat @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[532]) ).
thf(574,plain,
( ( ! [SX0: set_Pr9961929at_nat,SX1: set_Pr9961929at_nat] :
( ~ ( ord_le910748009at_nat @ SX0 @ SX1 )
| ~ ~ ( finite1987068434at_nat @ SX0 )
| ~ ( finite1987068434at_nat @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[533]) ).
thf(575,plain,
( ( ! [SX0: labeled_graph_b_nat] :
( ~ ( ord_le910748009at_nat @ ( labeled_edges_b_nat @ SX0 ) @ ( labeled_edges_b_nat @ ( restrict_b_nat @ SX0 ) ) )
| ( SX0
= ( restrict_b_nat @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[538]) ).
thf(576,plain,
( ( ! [SX0: set_nat] :
( ~ ~ ( finite_finite_nat @ SX0 )
| ( SX0 != bot_bot_set_nat ) ) )
= $true ),
inference(unfold_def,[status(thm)],[547]) ).
thf(577,plain,
( ( ! [SX0: labeled_graph_b_nat,SX1: labeled_graph_b_nat,SX2: labeled_graph_b_nat] :
( ( ( produc194497945_b_nat @ ( produc951298923_b_nat @ SX0 @ SX1 ) )
!= SX2 )
| ( SX1 = SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[495]) ).
thf(578,plain,
( ( ! [SX0: set_nat,SX1: set_nat] :
( ~ ( ord_less_eq_set_nat @ SX0 @ SX1 )
| ~ ( finite_finite_nat @ SX1 )
| ( finite_finite_nat @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[530]) ).
thf(579,plain,
( ( ! [SX0: allegorical_term_b,SX1: allegorical_term_b,SX2: allegorical_term_b,SX3: allegorical_term_b] :
( ( ( produc1990145943term_b @ SX0 @ SX1 )
!= ( produc1990145943term_b @ SX2 @ SX3 ) )
| ~ ( ( SX0 != SX2 )
| ( SX1 != SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[483]) ).
thf(580,plain,
( ( ! [SX0: labeled_graph_b_nat,SX1: labeled_graph_b_nat,SX2: set_Pr1986765409at_nat] :
( ~ ( graph_529870330at_nat @ SX0 @ SX1 @ SX2 )
| ( extensible_b_nat_nat @ ( produc951298923_b_nat @ SX0 @ SX0 ) @ SX1 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[517]) ).
thf(581,plain,
( ( ! [SX0: allegorical_term_b > allegorical_term_b > $o,SX1: produc1478835367term_b] :
( ~ ( SX0 @ ( produc1223098053term_b @ SX1 ) @ ( produc854192515term_b @ SX1 ) )
| ~ ! [SX2: allegorical_term_b,SX3: allegorical_term_b] :
~ ( SX0 @ SX3 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[518]) ).
thf(582,plain,
( ( ! [SX0: labeled_graph_b_nat,SX1: labeled_graph_b_nat,SX2: labeled_graph_b_nat,SX3: set_Pr1986765409at_nat] :
( ~ ( graph_529870330at_nat @ SX0 @ SX1 @ ( id_on_nat @ ( labele460410879_b_nat @ SX0 ) ) )
| ~ ( graph_529870330at_nat @ SX2 @ SX0 @ SX3 )
| ( graph_529870330at_nat @ SX2 @ SX1 @ SX3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[507]) ).
thf(583,plain,
( ( ! [SX0: allegorical_term_b,SX1: allegorical_term_b,SX2: allegorical_term_b,SX3: allegorical_term_b] :
( ( ( produc1990145943term_b @ SX0 @ SX1 )
= ( produc1990145943term_b @ SX2 @ SX3 ) )
= ( ~ ( ( SX0 != SX2 )
| ( SX1 != SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[476]) ).
thf(584,plain,
( ( ! [SX0: allegorical_term_b,SX1: allegorical_term_b,SX2: allegorical_term_b] :
( ( ( produc854192515term_b @ ( produc1990145943term_b @ SX0 @ SX1 ) )
!= SX2 )
| ( SX0 = SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[491]) ).
thf(585,plain,
( ( ! [SX0: produc1478835367term_b,SX1: produc1478835367term_b] :
( ~ ~ ( ( ( produc854192515term_b @ SX0 )
!= ( produc854192515term_b @ SX1 ) )
| ( ( produc1223098053term_b @ SX0 )
!= ( produc1223098053term_b @ SX1 ) ) )
| ( SX0 = SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[498]) ).
thf(586,plain,
( ( ! [SX0: labeled_graph_b_nat,SX1: labeled_graph_b_nat] :
( ~ ( graph_529870330at_nat @ SX0 @ SX1 @ ( id_on_nat @ ( labele460410879_b_nat @ SX0 ) ) )
| ( ord_less_eq_set_nat @ ( labele460410879_b_nat @ SX0 ) @ ( labele460410879_b_nat @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[540]) ).
thf(587,plain,
( ( ! [SX0: produc1235635379_b_nat] :
~ ! [SX1: labeled_graph_b_nat,SX2: labeled_graph_b_nat] :
( SX0
!= ( produc951298923_b_nat @ SX1 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[480]) ).
thf(588,plain,
( ( ! [SX0: labeled_graph_b_nat,SX1: labeled_graph_b_nat,SX2: labeled_graph_b_nat] :
( ( ( produc1542243159_b_nat @ ( produc951298923_b_nat @ SX0 @ SX1 ) )
!= SX2 )
| ( SX0 = SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[490]) ).
thf(589,plain,
( ( ! [SX0: labeled_graph_b_nat > labeled_graph_b_nat > $o,SX1: labeled_graph_b_nat,SX2: labeled_graph_b_nat,SX3: produc1235635379_b_nat] :
( ~ ( SX0 @ SX1 @ SX2 )
| ( SX3
!= ( produc951298923_b_nat @ SX1 @ SX2 ) )
| ( SX0 @ ( produc1542243159_b_nat @ SX3 ) @ ( produc194497945_b_nat @ SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[511]) ).
thf(590,plain,
( ( ! [SX0: produc1235635379_b_nat,SX1: produc1235635379_b_nat] :
( ~ ~ ( ( ( produc1542243159_b_nat @ SX0 )
!= ( produc1542243159_b_nat @ SX1 ) )
| ( ( produc194497945_b_nat @ SX0 )
!= ( produc194497945_b_nat @ SX1 ) ) )
| ( SX0 = SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[499]) ).
thf(591,plain,
( ( ! [SX0: labeled_graph_b_nat > labeled_graph_b_nat > $o,SX1: produc1235635379_b_nat] :
( ~ ( SX0 @ ( produc194497945_b_nat @ SX1 ) @ ( produc1542243159_b_nat @ SX1 ) )
| ~ ! [SX2: labeled_graph_b_nat,SX3: labeled_graph_b_nat] :
~ ( SX0 @ SX3 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[519]) ).
thf(592,plain,
( ( ! [SX0: set_Pr9961929at_nat] :
( ~ ~ ( finite1987068434at_nat @ SX0 )
| ( SX0 != bot_bo1626616373at_nat ) ) )
= $true ),
inference(unfold_def,[status(thm)],[548]) ).
thf(593,plain,
( ( ! [SX0: allegorical_term_b,SX1: allegorical_term_b,SX2: allegorical_term_b,SX3: allegorical_term_b] :
( ( ( allegorical_A_Int_b @ SX0 @ SX1 )
= ( allegorical_A_Int_b @ SX2 @ SX3 ) )
= ( ~ ( ( SX0 != SX2 )
| ( SX1 != SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[516]) ).
thf(594,plain,
( ( ! [SX0: b] :
~ ( ~ ~ ( ~ ~ ( ~ ( graph_529870330at_nat @ ( produc1542243159_b_nat @ ( standa1329480013rule_b @ SX0 ) ) @ ( produc194497945_b_nat @ ( standa1329480013rule_b @ SX0 ) ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ ( standa1329480013rule_b @ SX0 ) ) ) ) )
| ( ( produc194497945_b_nat @ ( standa1329480013rule_b @ SX0 ) )
!= ( restrict_b_nat @ ( produc194497945_b_nat @ ( standa1329480013rule_b @ SX0 ) ) ) ) )
| ~ ( finite_finite_nat @ ( labele460410879_b_nat @ ( produc194497945_b_nat @ ( standa1329480013rule_b @ SX0 ) ) ) ) )
| ~ ( finite1987068434at_nat @ ( labeled_edges_b_nat @ ( produc194497945_b_nat @ ( standa1329480013rule_b @ SX0 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[468]) ).
thf(595,plain,
( ( ! [SX0: b] :
~ ( ~ ~ ( ~ ~ ( ~ ( graph_529870330at_nat @ ( produc1542243159_b_nat @ ( standa1360217389rule_b @ SX0 ) ) @ ( produc194497945_b_nat @ ( standa1360217389rule_b @ SX0 ) ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ ( standa1360217389rule_b @ SX0 ) ) ) ) )
| ( ( produc194497945_b_nat @ ( standa1360217389rule_b @ SX0 ) )
!= ( restrict_b_nat @ ( produc194497945_b_nat @ ( standa1360217389rule_b @ SX0 ) ) ) ) )
| ~ ( finite_finite_nat @ ( labele460410879_b_nat @ ( produc194497945_b_nat @ ( standa1360217389rule_b @ SX0 ) ) ) ) )
| ~ ( finite1987068434at_nat @ ( labeled_edges_b_nat @ ( produc194497945_b_nat @ ( standa1360217389rule_b @ SX0 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[466]) ).
thf(596,plain,
( ( ! [SX0: produc1478835367term_b,SX1: produc1478835367term_b] :
( ( ( produc854192515term_b @ SX0 )
!= ( produc854192515term_b @ SX1 ) )
| ( ( produc1223098053term_b @ SX0 )
!= ( produc1223098053term_b @ SX1 ) )
| ( SX0 = SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[500]) ).
thf(597,plain,
( ( ! [SX0: labeled_graph_b_nat,SX1: produc1235635379_b_nat] :
( ( SX0
= ( produc194497945_b_nat @ SX1 ) )
= ( ~ ! [SX2: labeled_graph_b_nat] :
( SX1
!= ( produc951298923_b_nat @ SX2 @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[526]) ).
thf(598,plain,
( ( ! [SX0: produc1478835367term_b > $o,SX1: produc1478835367term_b] :
( ~ ! [SX2: allegorical_term_b,SX3: allegorical_term_b] : ( SX0 @ ( produc1990145943term_b @ SX2 @ SX3 ) )
| ( SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[479]) ).
thf(599,plain,
( ( ! [SX0: allegorical_term_b > allegorical_term_b > $o,SX1: allegorical_term_b,SX2: allegorical_term_b] :
( ~ ( SX0 @ SX1 @ SX2 )
| ( SX0 @ ( produc1223098053term_b @ ( produc1990145943term_b @ SX2 @ SX1 ) ) @ ( produc854192515term_b @ ( produc1990145943term_b @ SX2 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[514]) ).
thf(600,plain,
( ( ( ^ [SX0: produc1235635379_b_nat,SX1: produc1235635379_b_nat] : ( SX0 = SX1 ) )
= ( ^ [SX0: produc1235635379_b_nat,SX1: produc1235635379_b_nat] :
~ ( ( ( produc1542243159_b_nat @ SX0 )
!= ( produc1542243159_b_nat @ SX1 ) )
| ( ( produc194497945_b_nat @ SX0 )
!= ( produc194497945_b_nat @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[497]) ).
thf(601,plain,
( ( ! [SX0: labeled_graph_b_nat > $o,SX1: labeled_graph_b_nat,SX2: labeled_graph_b_nat > $o,SX3: labeled_graph_b_nat] :
( ~ ( SX0 @ SX1 )
| ~ ( SX2 @ SX3 )
| ~ ( ~ ( SX0 @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ SX1 @ SX3 ) ) )
| ~ ( SX2 @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ SX1 @ SX3 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[513]) ).
thf(602,plain,
( ( ! [SX0: allegorical_term_b,SX1: allegorical_term_b,SX2: allegorical_term_b,SX3: allegorical_term_b] :
( ( ( produc1990145943term_b @ SX0 @ SX1 )
= ( produc1990145943term_b @ SX2 @ SX3 ) )
= ( ~ ( ( SX0 != SX2 )
| ( SX1 != SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[474]) ).
thf(603,plain,
( ( ! [SX0: labeled_graph_b_nat,SX1: labeled_graph_b_nat] :
( ~ ~ ( ( ( labeled_edges_b_nat @ SX0 )
!= ( labeled_edges_b_nat @ SX1 ) )
| ( ( labele460410879_b_nat @ SX0 )
!= ( labele460410879_b_nat @ SX1 ) ) )
| ( SX0 = SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[502]) ).
thf(604,plain,
( ( ! [SX0: produc1478835367term_b] :
~ ! [SX1: allegorical_term_b,SX2: allegorical_term_b] :
( SX0
!= ( produc1990145943term_b @ SX1 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[481]) ).
thf(605,plain,
( ( ! [SX0: produc1478835367term_b,SX1: allegorical_term_b,SX2: allegorical_term_b] :
( ( SX0
!= ( produc1990145943term_b @ SX1 @ SX2 ) )
| ( ( produc854192515term_b @ SX0 )
= SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[523]) ).
thf(606,plain,
( ( ! [SX0: allegorical_term_b > $o,SX1: allegorical_term_b,SX2: allegorical_term_b > $o,SX3: allegorical_term_b] :
( ~ ( SX0 @ SX1 )
| ~ ( SX2 @ SX3 )
| ~ ( ~ ( SX0 @ ( produc854192515term_b @ ( produc1990145943term_b @ SX1 @ SX3 ) ) )
| ~ ( SX2 @ ( produc1223098053term_b @ ( produc1990145943term_b @ SX1 @ SX3 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[512]) ).
thf(607,plain,
( ( ( ^ [SX0: produc1478835367term_b,SX1: produc1478835367term_b] : ( SX0 = SX1 ) )
= ( ^ [SX0: produc1478835367term_b,SX1: produc1478835367term_b] :
~ ( ( ( produc854192515term_b @ SX0 )
!= ( produc854192515term_b @ SX1 ) )
| ( ( produc1223098053term_b @ SX0 )
!= ( produc1223098053term_b @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[496]) ).
thf(608,plain,
( ( ! [SX0: produc1235635379_b_nat,SX1: labeled_graph_b_nat,SX2: labeled_graph_b_nat] :
( ( SX0
!= ( produc951298923_b_nat @ SX1 @ SX2 ) )
| ( ( produc1542243159_b_nat @ SX0 )
= SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[522]) ).
thf(609,plain,
( ( ! [SX0: set_Pr9961929at_nat,SX1: set_Pr9961929at_nat] :
( ~ ( finite1987068434at_nat @ SX0 )
| ~ ( ord_le910748009at_nat @ SX1 @ SX0 )
| ( finite1987068434at_nat @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[535]) ).
thf(610,plain,
( ( ! [SX0: produc1478835367term_b > $o,SX1: produc1478835367term_b] :
( ~ ! [SX2: allegorical_term_b,SX3: allegorical_term_b] : ( SX0 @ ( produc1990145943term_b @ SX2 @ SX3 ) )
| ( SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[485]) ).
thf(611,plain,
( ( ! [SX0: labeled_graph_b_nat,SX1: labeled_graph_b_nat] :
( ( graph_529870330at_nat @ SX0 @ SX1 @ ( id_on_nat @ ( labele460410879_b_nat @ SX0 ) ) )
= ( ~ ( ~ ~ ( ( SX0
!= ( restrict_b_nat @ SX0 ) )
| ( SX1
!= ( restrict_b_nat @ SX1 ) ) )
| ( ( graph_union_b_nat @ SX0 @ SX1 )
!= SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[543]) ).
thf(612,plain,
( ( ! [SX0: set_nat,SX1: set_nat] :
( ~ ( finite_finite_nat @ SX0 )
| ~ ( ord_less_eq_set_nat @ SX1 @ SX0 )
| ( finite_finite_nat @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[534]) ).
thf(613,plain,
( ( ! [SX0: produc1478835367term_b] :
~ ! [SX1: allegorical_term_b] :
~ ~ ! [SX2: allegorical_term_b] :
( SX0
!= ( produc1990145943term_b @ SX1 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[487]) ).
thf(614,plain,
( ( ! [SX0: labeled_graph_b_nat,SX1: labeled_graph_b_nat,SX2: labeled_graph_b_nat,SX3: labeled_graph_b_nat] :
( ( ( produc951298923_b_nat @ SX0 @ SX1 )
!= ( produc951298923_b_nat @ SX2 @ SX3 ) )
| ~ ( ( SX0 != SX2 )
| ( SX1 != SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[482]) ).
thf(615,plain,
( ( ! [SX0: allegorical_term_b,SX1: allegorical_term_b] :
~ ( ~ ~ ( ~ ~ ( ~ ( graph_529870330at_nat @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SX0 ) @ ( translation_b @ ( allegorical_A_Int_b @ SX0 @ SX1 ) ) ) ) @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SX0 ) @ ( translation_b @ ( allegorical_A_Int_b @ SX0 @ SX1 ) ) ) ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SX0 ) @ ( translation_b @ ( allegorical_A_Int_b @ SX0 @ SX1 ) ) ) ) ) ) )
| ( ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SX0 ) @ ( translation_b @ ( allegorical_A_Int_b @ SX0 @ SX1 ) ) ) )
!= ( restrict_b_nat @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SX0 ) @ ( translation_b @ ( allegorical_A_Int_b @ SX0 @ SX1 ) ) ) ) ) ) )
| ~ ( finite_finite_nat @ ( labele460410879_b_nat @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SX0 ) @ ( translation_b @ ( allegorical_A_Int_b @ SX0 @ SX1 ) ) ) ) ) ) )
| ~ ( finite1987068434at_nat @ ( labeled_edges_b_nat @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SX0 ) @ ( translation_b @ ( allegorical_A_Int_b @ SX0 @ SX1 ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[460]) ).
thf(616,plain,
( ( ! [SX0: allegorical_term_b,SX1: allegorical_term_b,SX2: set_Pr1163220871term_b,SX3: allegorical_term_b] :
( ~ ( member516522448term_b @ ( produc1990145943term_b @ SX0 @ SX1 ) @ SX2 )
| ( SX3 != SX1 )
| ( member516522448term_b @ ( produc1990145943term_b @ SX0 @ SX3 ) @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[550]) ).
thf(617,plain,
( ( ! [SX0: produc1235635379_b_nat,SX1: labeled_graph_b_nat,SX2: labeled_graph_b_nat] :
( ( SX0
!= ( produc951298923_b_nat @ SX1 @ SX2 ) )
| ( ( produc194497945_b_nat @ SX0 )
= SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[521]) ).
thf(618,plain,
( ( ! [SX0: produc1235635379_b_nat > $o,SX1: produc1235635379_b_nat] :
( ~ ! [SX2: labeled_graph_b_nat,SX3: labeled_graph_b_nat] : ( SX0 @ ( produc951298923_b_nat @ SX2 @ SX3 ) )
| ( SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[484]) ).
thf(619,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ( graph_529870330at_nat @ ( produc1542243159_b_nat @ standa879863266rule_b ) @ ( produc194497945_b_nat @ standa879863266rule_b ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ standa879863266rule_b ) ) ) )
| ( ( produc194497945_b_nat @ standa879863266rule_b )
!= ( restrict_b_nat @ ( produc194497945_b_nat @ standa879863266rule_b ) ) ) )
| ~ ( finite_finite_nat @ ( labele460410879_b_nat @ ( produc194497945_b_nat @ standa879863266rule_b ) ) ) )
| ~ ( finite1987068434at_nat @ ( labeled_edges_b_nat @ ( produc194497945_b_nat @ standa879863266rule_b ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[465]) ).
thf(620,plain,
! [SV1: labeled_graph_b_nat] :
( ( ( graph_529870330at_nat @ SV1 @ SV1 @ ( id_on_nat @ ( labele460410879_b_nat @ SV1 ) ) )
= ( SV1
= ( restrict_b_nat @ SV1 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[461]) ).
thf(621,plain,
! [SV2: labeled_graph_b_nat] :
( ( ( graph_529870330at_nat @ SV2 @ ( restrict_b_nat @ SV2 ) @ ( id_on_nat @ ( labele460410879_b_nat @ SV2 ) ) )
= ( SV2
= ( restrict_b_nat @ SV2 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[462]) ).
thf(622,plain,
! [SV3: labeled_graph_b_nat] :
( ( graph_529870330at_nat @ ( restrict_b_nat @ SV3 ) @ ( restrict_b_nat @ SV3 ) @ ( id_on_nat @ ( labele460410879_b_nat @ SV3 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[463]) ).
thf(623,plain,
! [SV4: allegorical_term_b] :
( ( finite1987068434at_nat @ ( labeled_edges_b_nat @ ( translation_b @ SV4 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[464]) ).
thf(624,plain,
! [SV5: allegorical_term_b] :
( ( finite_finite_nat @ ( labele460410879_b_nat @ ( translation_b @ SV5 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[467]) ).
thf(625,plain,
! [SV6: produc1478835367term_b] :
( ( ( produc1990145943term_b @ ( produc854192515term_b @ SV6 ) @ ( produc1223098053term_b @ SV6 ) )
= SV6 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[469]) ).
thf(626,plain,
! [SV7: produc1235635379_b_nat] :
( ( ( produc951298923_b_nat @ ( produc1542243159_b_nat @ SV7 ) @ ( produc194497945_b_nat @ SV7 ) )
= SV7 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[470]) ).
thf(627,plain,
( ( ! [SV8: allegorical_term_b] :
( ( translation_b @ SV8 )
= ( restrict_b_nat @ ( translation_b @ SV8 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[471]) ).
thf(628,plain,
( ( translation_b
= ( ^ [X2: allegorical_term_b] : ( restrict_b_nat @ ( translation_b @ X2 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[471]) ).
thf(629,plain,
! [SV9: labeled_graph_b_nat] :
( ( ( labele460410879_b_nat @ ( restrict_b_nat @ SV9 ) )
= ( labele460410879_b_nat @ SV9 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[472]) ).
thf(630,plain,
! [SV10: labeled_graph_b_nat] :
( ( ( restrict_b_nat @ ( restrict_b_nat @ SV10 ) )
= ( restrict_b_nat @ SV10 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[477]) ).
thf(631,plain,
! [SV11: labeled_graph_b_nat] :
( ( ! [SY223: labeled_graph_b_nat] :
( ( produc1542243159_b_nat @ ( produc951298923_b_nat @ SV11 @ SY223 ) )
= SV11 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[488]) ).
thf(632,plain,
! [SV12: allegorical_term_b] :
( ( ! [SY224: allegorical_term_b] :
( ( produc854192515term_b @ ( produc1990145943term_b @ SV12 @ SY224 ) )
= SV12 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[489]) ).
thf(633,plain,
! [SV13: allegorical_term_b] :
( ( ! [SY225: allegorical_term_b] :
( ( produc1223098053term_b @ ( produc1990145943term_b @ SV13 @ SY225 ) )
= SY225 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[492]) ).
thf(634,plain,
! [SV14: labeled_graph_b_nat] :
( ( ! [SY226: labeled_graph_b_nat] :
( ( produc194497945_b_nat @ ( produc951298923_b_nat @ SV14 @ SY226 ) )
= SY226 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[493]) ).
thf(635,plain,
! [SV15: produc1478835367term_b] :
( ( SV15
= ( produc1990145943term_b @ ( produc854192515term_b @ SV15 ) @ ( produc1223098053term_b @ SV15 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[503]) ).
thf(636,plain,
! [SV16: produc1235635379_b_nat] :
( ( SV16
= ( produc951298923_b_nat @ ( produc1542243159_b_nat @ SV16 ) @ ( produc194497945_b_nat @ SV16 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[504]) ).
thf(637,plain,
! [SV17: produc1478835367term_b] :
( ( SV17
= ( produc1990145943term_b @ ( produc854192515term_b @ SV17 ) @ ( produc1223098053term_b @ SV17 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[505]) ).
thf(638,plain,
! [SV18: produc1235635379_b_nat] :
( ( SV18
= ( produc951298923_b_nat @ ( produc1542243159_b_nat @ SV18 ) @ ( produc194497945_b_nat @ SV18 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[506]) ).
thf(639,plain,
! [SV19: allegorical_term_b] :
( ( inv_translation @ ( labele460410879_b_nat @ ( translation_b @ SV19 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[509]) ).
thf(640,plain,
! [SV20: labeled_graph_b_nat] :
( ( ( labeled_LG_b_nat @ ( labeled_edges_b_nat @ SV20 ) @ ( labele460410879_b_nat @ SV20 ) )
= SV20 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[529]) ).
thf(641,plain,
! [SV21: set_Pr9961929at_nat] :
( ( ! [SY227: set_nat] :
( ( labele460410879_b_nat @ ( labeled_LG_b_nat @ SV21 @ SY227 ) )
= SY227 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[536]) ).
thf(642,plain,
! [SV22: set_Pr9961929at_nat] :
( ( ! [SY228: set_nat] :
( ( labeled_edges_b_nat @ ( labeled_LG_b_nat @ SV22 @ SY228 ) )
= SV22 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[537]) ).
thf(643,plain,
! [SV23: labeled_graph_b_nat] :
( ( SV23
= ( labeled_LG_b_nat @ ( labeled_edges_b_nat @ SV23 ) @ ( labele460410879_b_nat @ SV23 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[539]) ).
thf(644,plain,
! [SV24: set_nat] :
( ( univalent_nat_nat @ ( id_on_nat @ SV24 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[551]) ).
thf(645,plain,
! [SV25: set_nat] :
( ( ( domain_nat_nat @ ( id_on_nat @ SV25 ) )
= SV25 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[552]) ).
thf(646,plain,
( ( graph_529870330at_nat @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ ( translation_b @ ( produc854192515term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) @ ( translation_b @ ( produc1223098053term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) ) ) @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ ( produc854192515term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) @ ( translation_b @ ( produc1223098053term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) ) ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ ( translation_b @ ( produc854192515term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) @ ( translation_b @ ( produc1223098053term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[553]) ).
thf(647,plain,
! [SV26: produc1235635379_b_nat] :
( ( ~ ! [SY229: labeled_graph_b_nat] :
~ ~ ! [SY230: labeled_graph_b_nat] :
( SV26
!= ( produc951298923_b_nat @ SY229 @ SY230 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[554]) ).
thf(648,plain,
! [SV27: allegorical_term_b > allegorical_term_b > $o] :
( ( ! [SY231: allegorical_term_b,SY232: allegorical_term_b,SY233: produc1478835367term_b] :
( ~ ( SV27 @ SY231 @ SY232 )
| ( SY233
!= ( produc1990145943term_b @ SY231 @ SY232 ) )
| ( SV27 @ ( produc854192515term_b @ SY233 ) @ ( produc1223098053term_b @ SY233 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[555]) ).
thf(649,plain,
! [SV28: nat > labeled_graph_b_nat] :
( ( ! [SY234: nat] :
( ~ ( chain_b_nat @ SV28 )
| ( ( SV28 @ SY234 )
= ( restrict_b_nat @ ( SV28 @ SY234 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[556]) ).
thf(650,plain,
! [SV29: allegorical_term_b] :
( ( ! [SY235: allegorical_term_b,SY236: allegorical_term_b] :
( ( ( produc1223098053term_b @ ( produc1990145943term_b @ SV29 @ SY235 ) )
!= SY236 )
| ( SY235 = SY236 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[557]) ).
thf(651,plain,
! [SV30: set_Pr9961929at_nat] :
( ( ! [SY237: set_Pr9961929at_nat] :
( ~ ( ord_le910748009at_nat @ SV30 @ SY237 )
| ~ ( finite1987068434at_nat @ SY237 )
| ( finite1987068434at_nat @ SV30 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[558]) ).
thf(652,plain,
! [SV31: labeled_graph_b_nat] :
( ( ! [SY238: labeled_graph_b_nat,SY239: set_Pr551076371_b_nat,SY240: labeled_graph_b_nat] :
( ~ ( member963855452_b_nat @ ( produc951298923_b_nat @ SV31 @ SY238 ) @ SY239 )
| ( SY240 != SY238 )
| ( member963855452_b_nat @ ( produc951298923_b_nat @ SV31 @ SY240 ) @ SY239 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[559]) ).
thf(653,plain,
! [SV32: labeled_graph_b_nat] :
( ( ! [SY241: produc1235635379_b_nat] :
( ( SV32
= ( produc1542243159_b_nat @ SY241 ) )
= ( ~ ! [SY242: labeled_graph_b_nat] :
( SY241
!= ( produc951298923_b_nat @ SV32 @ SY242 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[560]) ).
thf(654,plain,
! [SV33: labeled_graph_b_nat] :
( ( ! [SY243: labeled_graph_b_nat,SY244: labeled_graph_b_nat,SY245: labeled_graph_b_nat] :
( ( ( produc951298923_b_nat @ SV33 @ SY243 )
= ( produc951298923_b_nat @ SY244 @ SY245 ) )
= ( ~ ( ( SV33 != SY244 )
| ( SY243 != SY245 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[561]) ).
thf(655,plain,
! [SV34: produc1235635379_b_nat] :
( ( ! [SY246: produc1235635379_b_nat] :
( ( ( produc1542243159_b_nat @ SV34 )
!= ( produc1542243159_b_nat @ SY246 ) )
| ( ( produc194497945_b_nat @ SV34 )
!= ( produc194497945_b_nat @ SY246 ) )
| ( SV34 = SY246 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[562]) ).
thf(656,plain,
! [SV35: allegorical_term_b] :
( ( ! [SY247: produc1478835367term_b] :
( ( SV35
= ( produc1223098053term_b @ SY247 ) )
= ( ~ ! [SY248: allegorical_term_b] :
( SY247
!= ( produc1990145943term_b @ SY248 @ SV35 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[563]) ).
thf(657,plain,
! [SV36: labeled_graph_b_nat] :
( ( ! [SY249: labeled_graph_b_nat] :
( ( SV36
!= ( restrict_b_nat @ SV36 ) )
| ( SY249
!= ( restrict_b_nat @ SY249 ) )
| ( ( graph_union_b_nat @ SV36 @ SY249 )
= ( restrict_b_nat @ ( graph_union_b_nat @ SV36 @ SY249 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[564]) ).
thf(658,plain,
! [SV37: labeled_graph_b_nat > labeled_graph_b_nat > $o] :
( ( ! [SY250: labeled_graph_b_nat,SY251: labeled_graph_b_nat] :
( ~ ( SV37 @ SY250 @ SY251 )
| ( SV37 @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ SY251 @ SY250 ) ) @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ SY251 @ SY250 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[565]) ).
thf(659,plain,
! [SV38: labeled_graph_b_nat] :
( ( ! [SY252: labeled_graph_b_nat] :
( ~ ( graph_529870330at_nat @ SV38 @ SY252 @ ( id_on_nat @ ( labele460410879_b_nat @ SV38 ) ) )
| ( ord_le910748009at_nat @ ( labeled_edges_b_nat @ ( restrict_b_nat @ SV38 ) ) @ ( labeled_edges_b_nat @ SY252 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[566]) ).
thf(660,plain,
! [SV39: labeled_graph_b_nat] :
( ( ! [SY253: labeled_graph_b_nat,SY254: labeled_graph_b_nat,SY255: labeled_graph_b_nat] :
( ( ( produc951298923_b_nat @ SV39 @ SY253 )
= ( produc951298923_b_nat @ SY254 @ SY255 ) )
= ( ~ ( ( SV39 != SY254 )
| ( SY253 != SY255 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[567]) ).
thf(661,plain,
! [SV40: produc1478835367term_b] :
( ( ! [SY256: allegorical_term_b,SY257: allegorical_term_b] :
( ( SV40
!= ( produc1990145943term_b @ SY256 @ SY257 ) )
| ( ( produc1223098053term_b @ SV40 )
= SY257 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[568]) ).
thf(662,plain,
! [SV41: allegorical_term_b] :
( ( ! [SY258: produc1478835367term_b] :
( ( SV41
= ( produc854192515term_b @ SY258 ) )
= ( ~ ! [SY259: allegorical_term_b] :
( SY258
!= ( produc1990145943term_b @ SV41 @ SY259 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[569]) ).
thf(663,plain,
! [SV42: produc1235635379_b_nat > $o] :
( ( ! [SY260: produc1235635379_b_nat] :
( ~ ! [SY261: labeled_graph_b_nat,SY262: labeled_graph_b_nat] : ( SV42 @ ( produc951298923_b_nat @ SY261 @ SY262 ) )
| ( SV42 @ SY260 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[570]) ).
thf(664,plain,
! [SV43: labeled_graph_b_nat] :
( ( ! [SY263: labeled_graph_b_nat,SY264: set_Pr1986765409at_nat,SY265: labeled_graph_b_nat,SY266: set_Pr1986765409at_nat] :
( ~ ( graph_529870330at_nat @ SV43 @ SY263 @ SY264 )
| ~ ( graph_529870330at_nat @ SY263 @ SY265 @ SY266 )
| ( graph_529870330at_nat @ SV43 @ SY265 @ ( relcomp_nat_nat_nat @ SY264 @ SY266 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[571]) ).
thf(665,plain,
! [SV44: labeled_graph_b_nat] :
( ( ! [SY267: labeled_graph_b_nat,SY268: labeled_graph_b_nat] :
( ~ ( graph_529870330at_nat @ SV44 @ SY267 @ ( id_on_nat @ ( labele460410879_b_nat @ SV44 ) ) )
| ~ ( graph_529870330at_nat @ SY267 @ SY268 @ ( id_on_nat @ ( labele460410879_b_nat @ SY267 ) ) )
| ( graph_529870330at_nat @ SV44 @ SY268 @ ( id_on_nat @ ( labele460410879_b_nat @ SV44 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[572]) ).
thf(666,plain,
! [SV45: set_nat] :
( ( ! [SY269: set_nat] :
( ~ ( ord_less_eq_set_nat @ SV45 @ SY269 )
| ~ ~ ( finite_finite_nat @ SV45 )
| ~ ( finite_finite_nat @ SY269 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[573]) ).
thf(667,plain,
! [SV46: set_Pr9961929at_nat] :
( ( ! [SY270: set_Pr9961929at_nat] :
( ~ ( ord_le910748009at_nat @ SV46 @ SY270 )
| ~ ~ ( finite1987068434at_nat @ SV46 )
| ~ ( finite1987068434at_nat @ SY270 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[574]) ).
thf(668,plain,
! [SV47: labeled_graph_b_nat] :
( ( ~ ( ord_le910748009at_nat @ ( labeled_edges_b_nat @ SV47 ) @ ( labeled_edges_b_nat @ ( restrict_b_nat @ SV47 ) ) )
| ( SV47
= ( restrict_b_nat @ SV47 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[575]) ).
thf(669,plain,
! [SV48: set_nat] :
( ( ~ ~ ( finite_finite_nat @ SV48 )
| ( SV48 != bot_bot_set_nat ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[576]) ).
thf(670,plain,
! [SV49: labeled_graph_b_nat] :
( ( ! [SY271: labeled_graph_b_nat,SY272: labeled_graph_b_nat] :
( ( ( produc194497945_b_nat @ ( produc951298923_b_nat @ SV49 @ SY271 ) )
!= SY272 )
| ( SY271 = SY272 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[577]) ).
thf(671,plain,
! [SV50: set_nat] :
( ( ! [SY273: set_nat] :
( ~ ( ord_less_eq_set_nat @ SV50 @ SY273 )
| ~ ( finite_finite_nat @ SY273 )
| ( finite_finite_nat @ SV50 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[578]) ).
thf(672,plain,
! [SV51: allegorical_term_b] :
( ( ! [SY274: allegorical_term_b,SY275: allegorical_term_b,SY276: allegorical_term_b] :
( ( ( produc1990145943term_b @ SV51 @ SY274 )
!= ( produc1990145943term_b @ SY275 @ SY276 ) )
| ~ ( ( SV51 != SY275 )
| ( SY274 != SY276 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[579]) ).
thf(673,plain,
! [SV52: labeled_graph_b_nat] :
( ( ! [SY277: labeled_graph_b_nat,SY278: set_Pr1986765409at_nat] :
( ~ ( graph_529870330at_nat @ SV52 @ SY277 @ SY278 )
| ( extensible_b_nat_nat @ ( produc951298923_b_nat @ SV52 @ SV52 ) @ SY277 @ SY278 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[580]) ).
thf(674,plain,
! [SV53: allegorical_term_b > allegorical_term_b > $o] :
( ( ! [SY279: produc1478835367term_b] :
( ~ ( SV53 @ ( produc1223098053term_b @ SY279 ) @ ( produc854192515term_b @ SY279 ) )
| ~ ! [SY280: allegorical_term_b,SY281: allegorical_term_b] :
~ ( SV53 @ SY281 @ SY280 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[581]) ).
thf(675,plain,
! [SV54: labeled_graph_b_nat] :
( ( ! [SY282: labeled_graph_b_nat,SY283: labeled_graph_b_nat,SY284: set_Pr1986765409at_nat] :
( ~ ( graph_529870330at_nat @ SV54 @ SY282 @ ( id_on_nat @ ( labele460410879_b_nat @ SV54 ) ) )
| ~ ( graph_529870330at_nat @ SY283 @ SV54 @ SY284 )
| ( graph_529870330at_nat @ SY283 @ SY282 @ SY284 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[582]) ).
thf(676,plain,
! [SV55: allegorical_term_b] :
( ( ! [SY285: allegorical_term_b,SY286: allegorical_term_b,SY287: allegorical_term_b] :
( ( ( produc1990145943term_b @ SV55 @ SY285 )
= ( produc1990145943term_b @ SY286 @ SY287 ) )
= ( ~ ( ( SV55 != SY286 )
| ( SY285 != SY287 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[583]) ).
thf(677,plain,
! [SV56: allegorical_term_b] :
( ( ! [SY288: allegorical_term_b,SY289: allegorical_term_b] :
( ( ( produc854192515term_b @ ( produc1990145943term_b @ SV56 @ SY288 ) )
!= SY289 )
| ( SV56 = SY289 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[584]) ).
thf(678,plain,
! [SV57: produc1478835367term_b] :
( ( ! [SY290: produc1478835367term_b] :
( ~ ~ ( ( ( produc854192515term_b @ SV57 )
!= ( produc854192515term_b @ SY290 ) )
| ( ( produc1223098053term_b @ SV57 )
!= ( produc1223098053term_b @ SY290 ) ) )
| ( SV57 = SY290 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[585]) ).
thf(679,plain,
! [SV58: labeled_graph_b_nat] :
( ( ! [SY291: labeled_graph_b_nat] :
( ~ ( graph_529870330at_nat @ SV58 @ SY291 @ ( id_on_nat @ ( labele460410879_b_nat @ SV58 ) ) )
| ( ord_less_eq_set_nat @ ( labele460410879_b_nat @ SV58 ) @ ( labele460410879_b_nat @ SY291 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[586]) ).
thf(680,plain,
! [SV59: produc1235635379_b_nat] :
( ( ~ ! [SY292: labeled_graph_b_nat,SY293: labeled_graph_b_nat] :
( SV59
!= ( produc951298923_b_nat @ SY292 @ SY293 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[587]) ).
thf(681,plain,
! [SV60: labeled_graph_b_nat] :
( ( ! [SY294: labeled_graph_b_nat,SY295: labeled_graph_b_nat] :
( ( ( produc1542243159_b_nat @ ( produc951298923_b_nat @ SV60 @ SY294 ) )
!= SY295 )
| ( SV60 = SY295 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[588]) ).
thf(682,plain,
! [SV61: labeled_graph_b_nat > labeled_graph_b_nat > $o] :
( ( ! [SY296: labeled_graph_b_nat,SY297: labeled_graph_b_nat,SY298: produc1235635379_b_nat] :
( ~ ( SV61 @ SY296 @ SY297 )
| ( SY298
!= ( produc951298923_b_nat @ SY296 @ SY297 ) )
| ( SV61 @ ( produc1542243159_b_nat @ SY298 ) @ ( produc194497945_b_nat @ SY298 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[589]) ).
thf(683,plain,
! [SV62: produc1235635379_b_nat] :
( ( ! [SY299: produc1235635379_b_nat] :
( ~ ~ ( ( ( produc1542243159_b_nat @ SV62 )
!= ( produc1542243159_b_nat @ SY299 ) )
| ( ( produc194497945_b_nat @ SV62 )
!= ( produc194497945_b_nat @ SY299 ) ) )
| ( SV62 = SY299 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[590]) ).
thf(684,plain,
! [SV63: labeled_graph_b_nat > labeled_graph_b_nat > $o] :
( ( ! [SY300: produc1235635379_b_nat] :
( ~ ( SV63 @ ( produc194497945_b_nat @ SY300 ) @ ( produc1542243159_b_nat @ SY300 ) )
| ~ ! [SY301: labeled_graph_b_nat,SY302: labeled_graph_b_nat] :
~ ( SV63 @ SY302 @ SY301 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[591]) ).
thf(685,plain,
! [SV64: set_Pr9961929at_nat] :
( ( ~ ~ ( finite1987068434at_nat @ SV64 )
| ( SV64 != bot_bo1626616373at_nat ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[592]) ).
thf(686,plain,
! [SV65: allegorical_term_b] :
( ( ! [SY303: allegorical_term_b,SY304: allegorical_term_b,SY305: allegorical_term_b] :
( ( ( allegorical_A_Int_b @ SV65 @ SY303 )
= ( allegorical_A_Int_b @ SY304 @ SY305 ) )
= ( ~ ( ( SV65 != SY304 )
| ( SY303 != SY305 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[593]) ).
thf(687,plain,
! [SV66: b] :
( ( ~ ( ~ ~ ( ~ ~ ( ~ ( graph_529870330at_nat @ ( produc1542243159_b_nat @ ( standa1329480013rule_b @ SV66 ) ) @ ( produc194497945_b_nat @ ( standa1329480013rule_b @ SV66 ) ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ ( standa1329480013rule_b @ SV66 ) ) ) ) )
| ( ( produc194497945_b_nat @ ( standa1329480013rule_b @ SV66 ) )
!= ( restrict_b_nat @ ( produc194497945_b_nat @ ( standa1329480013rule_b @ SV66 ) ) ) ) )
| ~ ( finite_finite_nat @ ( labele460410879_b_nat @ ( produc194497945_b_nat @ ( standa1329480013rule_b @ SV66 ) ) ) ) )
| ~ ( finite1987068434at_nat @ ( labeled_edges_b_nat @ ( produc194497945_b_nat @ ( standa1329480013rule_b @ SV66 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[594]) ).
thf(688,plain,
! [SV67: b] :
( ( ~ ( ~ ~ ( ~ ~ ( ~ ( graph_529870330at_nat @ ( produc1542243159_b_nat @ ( standa1360217389rule_b @ SV67 ) ) @ ( produc194497945_b_nat @ ( standa1360217389rule_b @ SV67 ) ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ ( standa1360217389rule_b @ SV67 ) ) ) ) )
| ( ( produc194497945_b_nat @ ( standa1360217389rule_b @ SV67 ) )
!= ( restrict_b_nat @ ( produc194497945_b_nat @ ( standa1360217389rule_b @ SV67 ) ) ) ) )
| ~ ( finite_finite_nat @ ( labele460410879_b_nat @ ( produc194497945_b_nat @ ( standa1360217389rule_b @ SV67 ) ) ) ) )
| ~ ( finite1987068434at_nat @ ( labeled_edges_b_nat @ ( produc194497945_b_nat @ ( standa1360217389rule_b @ SV67 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[595]) ).
thf(689,plain,
! [SV68: produc1478835367term_b] :
( ( ! [SY306: produc1478835367term_b] :
( ( ( produc854192515term_b @ SV68 )
!= ( produc854192515term_b @ SY306 ) )
| ( ( produc1223098053term_b @ SV68 )
!= ( produc1223098053term_b @ SY306 ) )
| ( SV68 = SY306 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[596]) ).
thf(690,plain,
! [SV69: labeled_graph_b_nat] :
( ( ! [SY307: produc1235635379_b_nat] :
( ( SV69
= ( produc194497945_b_nat @ SY307 ) )
= ( ~ ! [SY308: labeled_graph_b_nat] :
( SY307
!= ( produc951298923_b_nat @ SY308 @ SV69 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[597]) ).
thf(691,plain,
! [SV70: produc1478835367term_b > $o] :
( ( ! [SY309: produc1478835367term_b] :
( ~ ! [SY310: allegorical_term_b,SY311: allegorical_term_b] : ( SV70 @ ( produc1990145943term_b @ SY310 @ SY311 ) )
| ( SV70 @ SY309 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[598]) ).
thf(692,plain,
! [SV71: allegorical_term_b > allegorical_term_b > $o] :
( ( ! [SY312: allegorical_term_b,SY313: allegorical_term_b] :
( ~ ( SV71 @ SY312 @ SY313 )
| ( SV71 @ ( produc1223098053term_b @ ( produc1990145943term_b @ SY313 @ SY312 ) ) @ ( produc854192515term_b @ ( produc1990145943term_b @ SY313 @ SY312 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[599]) ).
thf(693,plain,
( ( ! [SV72: produc1235635379_b_nat] :
( ( ^ [SY314: produc1235635379_b_nat] : ( SV72 = SY314 ) )
= ( ^ [SY315: produc1235635379_b_nat] :
~ ( ( ( produc1542243159_b_nat @ SV72 )
!= ( produc1542243159_b_nat @ SY315 ) )
| ( ( produc194497945_b_nat @ SV72 )
!= ( produc194497945_b_nat @ SY315 ) ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[600]) ).
thf(694,plain,
( ( ( ^ [SX0: produc1235635379_b_nat,SX1: produc1235635379_b_nat] : ( SX0 = SX1 ) )
= ( ^ [SX0: produc1235635379_b_nat,SX1: produc1235635379_b_nat] :
~ ( ( ( produc1542243159_b_nat @ SX0 )
!= ( produc1542243159_b_nat @ SX1 ) )
| ( ( produc194497945_b_nat @ SX0 )
!= ( produc194497945_b_nat @ SX1 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[600]) ).
thf(695,plain,
! [SV73: labeled_graph_b_nat > $o] :
( ( ! [SY316: labeled_graph_b_nat,SY317: labeled_graph_b_nat > $o,SY318: labeled_graph_b_nat] :
( ~ ( SV73 @ SY316 )
| ~ ( SY317 @ SY318 )
| ~ ( ~ ( SV73 @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ SY316 @ SY318 ) ) )
| ~ ( SY317 @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ SY316 @ SY318 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[601]) ).
thf(696,plain,
! [SV74: allegorical_term_b] :
( ( ! [SY319: allegorical_term_b,SY320: allegorical_term_b,SY321: allegorical_term_b] :
( ( ( produc1990145943term_b @ SV74 @ SY319 )
= ( produc1990145943term_b @ SY320 @ SY321 ) )
= ( ~ ( ( SV74 != SY320 )
| ( SY319 != SY321 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[602]) ).
thf(697,plain,
! [SV75: labeled_graph_b_nat] :
( ( ! [SY322: labeled_graph_b_nat] :
( ~ ~ ( ( ( labeled_edges_b_nat @ SV75 )
!= ( labeled_edges_b_nat @ SY322 ) )
| ( ( labele460410879_b_nat @ SV75 )
!= ( labele460410879_b_nat @ SY322 ) ) )
| ( SV75 = SY322 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[603]) ).
thf(698,plain,
! [SV76: produc1478835367term_b] :
( ( ~ ! [SY323: allegorical_term_b,SY324: allegorical_term_b] :
( SV76
!= ( produc1990145943term_b @ SY323 @ SY324 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[604]) ).
thf(699,plain,
! [SV77: produc1478835367term_b] :
( ( ! [SY325: allegorical_term_b,SY326: allegorical_term_b] :
( ( SV77
!= ( produc1990145943term_b @ SY325 @ SY326 ) )
| ( ( produc854192515term_b @ SV77 )
= SY325 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[605]) ).
thf(700,plain,
! [SV78: allegorical_term_b > $o] :
( ( ! [SY327: allegorical_term_b,SY328: allegorical_term_b > $o,SY329: allegorical_term_b] :
( ~ ( SV78 @ SY327 )
| ~ ( SY328 @ SY329 )
| ~ ( ~ ( SV78 @ ( produc854192515term_b @ ( produc1990145943term_b @ SY327 @ SY329 ) ) )
| ~ ( SY328 @ ( produc1223098053term_b @ ( produc1990145943term_b @ SY327 @ SY329 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[606]) ).
thf(701,plain,
( ( ! [SV79: produc1478835367term_b] :
( ( ^ [SY330: produc1478835367term_b] : ( SV79 = SY330 ) )
= ( ^ [SY331: produc1478835367term_b] :
~ ( ( ( produc854192515term_b @ SV79 )
!= ( produc854192515term_b @ SY331 ) )
| ( ( produc1223098053term_b @ SV79 )
!= ( produc1223098053term_b @ SY331 ) ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[607]) ).
thf(702,plain,
( ( ( ^ [SX0: produc1478835367term_b,SX1: produc1478835367term_b] : ( SX0 = SX1 ) )
= ( ^ [SX0: produc1478835367term_b,SX1: produc1478835367term_b] :
~ ( ( ( produc854192515term_b @ SX0 )
!= ( produc854192515term_b @ SX1 ) )
| ( ( produc1223098053term_b @ SX0 )
!= ( produc1223098053term_b @ SX1 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[607]) ).
thf(703,plain,
! [SV80: produc1235635379_b_nat] :
( ( ! [SY332: labeled_graph_b_nat,SY333: labeled_graph_b_nat] :
( ( SV80
!= ( produc951298923_b_nat @ SY332 @ SY333 ) )
| ( ( produc1542243159_b_nat @ SV80 )
= SY332 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[608]) ).
thf(704,plain,
! [SV81: set_Pr9961929at_nat] :
( ( ! [SY334: set_Pr9961929at_nat] :
( ~ ( finite1987068434at_nat @ SV81 )
| ~ ( ord_le910748009at_nat @ SY334 @ SV81 )
| ( finite1987068434at_nat @ SY334 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[609]) ).
thf(705,plain,
! [SV82: produc1478835367term_b > $o] :
( ( ! [SY335: produc1478835367term_b] :
( ~ ! [SY336: allegorical_term_b,SY337: allegorical_term_b] : ( SV82 @ ( produc1990145943term_b @ SY336 @ SY337 ) )
| ( SV82 @ SY335 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[610]) ).
thf(706,plain,
! [SV83: labeled_graph_b_nat] :
( ( ! [SY338: labeled_graph_b_nat] :
( ( graph_529870330at_nat @ SV83 @ SY338 @ ( id_on_nat @ ( labele460410879_b_nat @ SV83 ) ) )
= ( ~ ( ~ ~ ( ( SV83
!= ( restrict_b_nat @ SV83 ) )
| ( SY338
!= ( restrict_b_nat @ SY338 ) ) )
| ( ( graph_union_b_nat @ SV83 @ SY338 )
!= SY338 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[611]) ).
thf(707,plain,
! [SV84: set_nat] :
( ( ! [SY339: set_nat] :
( ~ ( finite_finite_nat @ SV84 )
| ~ ( ord_less_eq_set_nat @ SY339 @ SV84 )
| ( finite_finite_nat @ SY339 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[612]) ).
thf(708,plain,
! [SV85: produc1478835367term_b] :
( ( ~ ! [SY340: allegorical_term_b] :
~ ~ ! [SY341: allegorical_term_b] :
( SV85
!= ( produc1990145943term_b @ SY340 @ SY341 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[613]) ).
thf(709,plain,
! [SV86: labeled_graph_b_nat] :
( ( ! [SY342: labeled_graph_b_nat,SY343: labeled_graph_b_nat,SY344: labeled_graph_b_nat] :
( ( ( produc951298923_b_nat @ SV86 @ SY342 )
!= ( produc951298923_b_nat @ SY343 @ SY344 ) )
| ~ ( ( SV86 != SY343 )
| ( SY342 != SY344 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[614]) ).
thf(710,plain,
! [SV87: allegorical_term_b] :
( ( ! [SY345: allegorical_term_b] :
~ ( ~ ~ ( ~ ~ ( ~ ( graph_529870330at_nat @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV87 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV87 @ SY345 ) ) ) ) @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV87 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV87 @ SY345 ) ) ) ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV87 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV87 @ SY345 ) ) ) ) ) ) )
| ( ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV87 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV87 @ SY345 ) ) ) )
!= ( restrict_b_nat @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV87 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV87 @ SY345 ) ) ) ) ) ) )
| ~ ( finite_finite_nat @ ( labele460410879_b_nat @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV87 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV87 @ SY345 ) ) ) ) ) ) )
| ~ ( finite1987068434at_nat @ ( labeled_edges_b_nat @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV87 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV87 @ SY345 ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[615]) ).
thf(711,plain,
! [SV88: allegorical_term_b] :
( ( ! [SY346: allegorical_term_b,SY347: set_Pr1163220871term_b,SY348: allegorical_term_b] :
( ~ ( member516522448term_b @ ( produc1990145943term_b @ SV88 @ SY346 ) @ SY347 )
| ( SY348 != SY346 )
| ( member516522448term_b @ ( produc1990145943term_b @ SV88 @ SY348 ) @ SY347 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[616]) ).
thf(712,plain,
! [SV89: produc1235635379_b_nat] :
( ( ! [SY349: labeled_graph_b_nat,SY350: labeled_graph_b_nat] :
( ( SV89
!= ( produc951298923_b_nat @ SY349 @ SY350 ) )
| ( ( produc194497945_b_nat @ SV89 )
= SY350 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[617]) ).
thf(713,plain,
! [SV90: produc1235635379_b_nat > $o] :
( ( ! [SY351: produc1235635379_b_nat] :
( ~ ! [SY352: labeled_graph_b_nat,SY353: labeled_graph_b_nat] : ( SV90 @ ( produc951298923_b_nat @ SY352 @ SY353 ) )
| ( SV90 @ SY351 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[618]) ).
thf(714,plain,
( ( ~ ~ ( ~ ~ ( ~ ( graph_529870330at_nat @ ( produc1542243159_b_nat @ standa879863266rule_b ) @ ( produc194497945_b_nat @ standa879863266rule_b ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ standa879863266rule_b ) ) ) )
| ( ( produc194497945_b_nat @ standa879863266rule_b )
!= ( restrict_b_nat @ ( produc194497945_b_nat @ standa879863266rule_b ) ) ) )
| ~ ( finite_finite_nat @ ( labele460410879_b_nat @ ( produc194497945_b_nat @ standa879863266rule_b ) ) ) )
| ~ ( finite1987068434at_nat @ ( labeled_edges_b_nat @ ( produc194497945_b_nat @ standa879863266rule_b ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[619]) ).
thf(715,plain,
! [SV1: labeled_graph_b_nat] :
( ( ~ ( ( graph_529870330at_nat @ SV1 @ SV1 @ ( id_on_nat @ ( labele460410879_b_nat @ SV1 ) ) )
| ( SV1
= ( restrict_b_nat @ SV1 ) ) )
| ~ ( ~ ( graph_529870330at_nat @ SV1 @ SV1 @ ( id_on_nat @ ( labele460410879_b_nat @ SV1 ) ) )
| ( SV1
!= ( restrict_b_nat @ SV1 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[620]) ).
thf(716,plain,
! [SV1: labeled_graph_b_nat] :
( ( ( graph_529870330at_nat @ SV1 @ SV1 @ ( id_on_nat @ ( labele460410879_b_nat @ SV1 ) ) )
= ( SV1
= ( restrict_b_nat @ SV1 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[620]) ).
thf(717,plain,
! [SV2: labeled_graph_b_nat] :
( ( ~ ( ( graph_529870330at_nat @ SV2 @ ( restrict_b_nat @ SV2 ) @ ( id_on_nat @ ( labele460410879_b_nat @ SV2 ) ) )
| ( SV2
= ( restrict_b_nat @ SV2 ) ) )
| ~ ( ~ ( graph_529870330at_nat @ SV2 @ ( restrict_b_nat @ SV2 ) @ ( id_on_nat @ ( labele460410879_b_nat @ SV2 ) ) )
| ( SV2
!= ( restrict_b_nat @ SV2 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[621]) ).
thf(718,plain,
! [SV2: labeled_graph_b_nat] :
( ( ( graph_529870330at_nat @ SV2 @ ( restrict_b_nat @ SV2 ) @ ( id_on_nat @ ( labele460410879_b_nat @ SV2 ) ) )
= ( SV2
= ( restrict_b_nat @ SV2 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[621]) ).
thf(719,plain,
! [SV91: allegorical_term_b] :
( ( ( translation_b @ SV91 )
= ( restrict_b_nat @ ( translation_b @ SV91 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[627]) ).
thf(720,plain,
! [SV92: labeled_graph_b_nat,SV11: labeled_graph_b_nat] :
( ( ( produc1542243159_b_nat @ ( produc951298923_b_nat @ SV11 @ SV92 ) )
= SV11 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[631]) ).
thf(721,plain,
! [SV93: allegorical_term_b,SV12: allegorical_term_b] :
( ( ( produc854192515term_b @ ( produc1990145943term_b @ SV12 @ SV93 ) )
= SV12 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[632]) ).
thf(722,plain,
! [SV94: allegorical_term_b,SV13: allegorical_term_b] :
( ( ( produc1223098053term_b @ ( produc1990145943term_b @ SV13 @ SV94 ) )
= SV94 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[633]) ).
thf(723,plain,
! [SV95: labeled_graph_b_nat,SV14: labeled_graph_b_nat] :
( ( ( produc194497945_b_nat @ ( produc951298923_b_nat @ SV14 @ SV95 ) )
= SV95 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[634]) ).
thf(724,plain,
! [SV96: set_nat,SV21: set_Pr9961929at_nat] :
( ( ( labele460410879_b_nat @ ( labeled_LG_b_nat @ SV21 @ SV96 ) )
= SV96 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[641]) ).
thf(725,plain,
! [SV97: set_nat,SV22: set_Pr9961929at_nat] :
( ( ( labeled_edges_b_nat @ ( labeled_LG_b_nat @ SV22 @ SV97 ) )
= SV22 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[642]) ).
thf(726,plain,
! [SV26: produc1235635379_b_nat] :
( ( ! [SY229: labeled_graph_b_nat] :
~ ~ ! [SY230: labeled_graph_b_nat] :
( SV26
!= ( produc951298923_b_nat @ SY229 @ SY230 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[647]) ).
thf(727,plain,
! [SV98: allegorical_term_b,SV27: allegorical_term_b > allegorical_term_b > $o] :
( ( ! [SY354: allegorical_term_b,SY355: produc1478835367term_b] :
( ~ ( SV27 @ SV98 @ SY354 )
| ( SY355
!= ( produc1990145943term_b @ SV98 @ SY354 ) )
| ( SV27 @ ( produc854192515term_b @ SY355 ) @ ( produc1223098053term_b @ SY355 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[648]) ).
thf(728,plain,
! [SV99: nat,SV28: nat > labeled_graph_b_nat] :
( ( ~ ( chain_b_nat @ SV28 )
| ( ( SV28 @ SV99 )
= ( restrict_b_nat @ ( SV28 @ SV99 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[649]) ).
thf(729,plain,
! [SV100: allegorical_term_b,SV29: allegorical_term_b] :
( ( ! [SY356: allegorical_term_b] :
( ( ( produc1223098053term_b @ ( produc1990145943term_b @ SV29 @ SV100 ) )
!= SY356 )
| ( SV100 = SY356 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[650]) ).
thf(730,plain,
! [SV101: set_Pr9961929at_nat,SV30: set_Pr9961929at_nat] :
( ( ~ ( ord_le910748009at_nat @ SV30 @ SV101 )
| ~ ( finite1987068434at_nat @ SV101 )
| ( finite1987068434at_nat @ SV30 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[651]) ).
thf(731,plain,
! [SV102: labeled_graph_b_nat,SV31: labeled_graph_b_nat] :
( ( ! [SY357: set_Pr551076371_b_nat,SY358: labeled_graph_b_nat] :
( ~ ( member963855452_b_nat @ ( produc951298923_b_nat @ SV31 @ SV102 ) @ SY357 )
| ( SY358 != SV102 )
| ( member963855452_b_nat @ ( produc951298923_b_nat @ SV31 @ SY358 ) @ SY357 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[652]) ).
thf(732,plain,
! [SV103: produc1235635379_b_nat,SV32: labeled_graph_b_nat] :
( ( ( SV32
= ( produc1542243159_b_nat @ SV103 ) )
= ( ~ ! [SY359: labeled_graph_b_nat] :
( SV103
!= ( produc951298923_b_nat @ SV32 @ SY359 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[653]) ).
thf(733,plain,
! [SV104: labeled_graph_b_nat,SV33: labeled_graph_b_nat] :
( ( ! [SY360: labeled_graph_b_nat,SY361: labeled_graph_b_nat] :
( ( ( produc951298923_b_nat @ SV33 @ SV104 )
= ( produc951298923_b_nat @ SY360 @ SY361 ) )
= ( ~ ( ( SV33 != SY360 )
| ( SV104 != SY361 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[654]) ).
thf(734,plain,
! [SV105: produc1235635379_b_nat,SV34: produc1235635379_b_nat] :
( ( ( ( produc1542243159_b_nat @ SV34 )
!= ( produc1542243159_b_nat @ SV105 ) )
| ( ( produc194497945_b_nat @ SV34 )
!= ( produc194497945_b_nat @ SV105 ) )
| ( SV34 = SV105 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[655]) ).
thf(735,plain,
! [SV106: produc1478835367term_b,SV35: allegorical_term_b] :
( ( ( SV35
= ( produc1223098053term_b @ SV106 ) )
= ( ~ ! [SY362: allegorical_term_b] :
( SV106
!= ( produc1990145943term_b @ SY362 @ SV35 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[656]) ).
thf(736,plain,
! [SV107: labeled_graph_b_nat,SV36: labeled_graph_b_nat] :
( ( ( SV36
!= ( restrict_b_nat @ SV36 ) )
| ( SV107
!= ( restrict_b_nat @ SV107 ) )
| ( ( graph_union_b_nat @ SV36 @ SV107 )
= ( restrict_b_nat @ ( graph_union_b_nat @ SV36 @ SV107 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[657]) ).
thf(737,plain,
! [SV108: labeled_graph_b_nat,SV37: labeled_graph_b_nat > labeled_graph_b_nat > $o] :
( ( ! [SY363: labeled_graph_b_nat] :
( ~ ( SV37 @ SV108 @ SY363 )
| ( SV37 @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ SY363 @ SV108 ) ) @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ SY363 @ SV108 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[658]) ).
thf(738,plain,
! [SV109: labeled_graph_b_nat,SV38: labeled_graph_b_nat] :
( ( ~ ( graph_529870330at_nat @ SV38 @ SV109 @ ( id_on_nat @ ( labele460410879_b_nat @ SV38 ) ) )
| ( ord_le910748009at_nat @ ( labeled_edges_b_nat @ ( restrict_b_nat @ SV38 ) ) @ ( labeled_edges_b_nat @ SV109 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[659]) ).
thf(739,plain,
! [SV110: labeled_graph_b_nat,SV39: labeled_graph_b_nat] :
( ( ! [SY364: labeled_graph_b_nat,SY365: labeled_graph_b_nat] :
( ( ( produc951298923_b_nat @ SV39 @ SV110 )
= ( produc951298923_b_nat @ SY364 @ SY365 ) )
= ( ~ ( ( SV39 != SY364 )
| ( SV110 != SY365 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[660]) ).
thf(740,plain,
! [SV111: allegorical_term_b,SV40: produc1478835367term_b] :
( ( ! [SY366: allegorical_term_b] :
( ( SV40
!= ( produc1990145943term_b @ SV111 @ SY366 ) )
| ( ( produc1223098053term_b @ SV40 )
= SY366 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[661]) ).
thf(741,plain,
! [SV112: produc1478835367term_b,SV41: allegorical_term_b] :
( ( ( SV41
= ( produc854192515term_b @ SV112 ) )
= ( ~ ! [SY367: allegorical_term_b] :
( SV112
!= ( produc1990145943term_b @ SV41 @ SY367 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[662]) ).
thf(742,plain,
! [SV113: produc1235635379_b_nat,SV42: produc1235635379_b_nat > $o] :
( ( ~ ! [SY261: labeled_graph_b_nat,SY262: labeled_graph_b_nat] : ( SV42 @ ( produc951298923_b_nat @ SY261 @ SY262 ) )
| ( SV42 @ SV113 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[663]) ).
thf(743,plain,
! [SV114: labeled_graph_b_nat,SV43: labeled_graph_b_nat] :
( ( ! [SY370: set_Pr1986765409at_nat,SY371: labeled_graph_b_nat,SY372: set_Pr1986765409at_nat] :
( ~ ( graph_529870330at_nat @ SV43 @ SV114 @ SY370 )
| ~ ( graph_529870330at_nat @ SV114 @ SY371 @ SY372 )
| ( graph_529870330at_nat @ SV43 @ SY371 @ ( relcomp_nat_nat_nat @ SY370 @ SY372 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[664]) ).
thf(744,plain,
! [SV115: labeled_graph_b_nat,SV44: labeled_graph_b_nat] :
( ( ! [SY373: labeled_graph_b_nat] :
( ~ ( graph_529870330at_nat @ SV44 @ SV115 @ ( id_on_nat @ ( labele460410879_b_nat @ SV44 ) ) )
| ~ ( graph_529870330at_nat @ SV115 @ SY373 @ ( id_on_nat @ ( labele460410879_b_nat @ SV115 ) ) )
| ( graph_529870330at_nat @ SV44 @ SY373 @ ( id_on_nat @ ( labele460410879_b_nat @ SV44 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[665]) ).
thf(745,plain,
! [SV116: set_nat,SV45: set_nat] :
( ( ~ ( ord_less_eq_set_nat @ SV45 @ SV116 )
| ~ ~ ( finite_finite_nat @ SV45 )
| ~ ( finite_finite_nat @ SV116 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[666]) ).
thf(746,plain,
! [SV117: set_Pr9961929at_nat,SV46: set_Pr9961929at_nat] :
( ( ~ ( ord_le910748009at_nat @ SV46 @ SV117 )
| ~ ~ ( finite1987068434at_nat @ SV46 )
| ~ ( finite1987068434at_nat @ SV117 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[667]) ).
thf(747,plain,
! [SV47: labeled_graph_b_nat] :
( ( ( ~ ( ord_le910748009at_nat @ ( labeled_edges_b_nat @ SV47 ) @ ( labeled_edges_b_nat @ ( restrict_b_nat @ SV47 ) ) ) )
= $true )
| ( ( SV47
= ( restrict_b_nat @ SV47 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[668]) ).
thf(748,plain,
! [SV48: set_nat] :
( ( ( ~ ~ ( finite_finite_nat @ SV48 ) )
= $true )
| ( ( SV48 != bot_bot_set_nat )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[669]) ).
thf(749,plain,
! [SV118: labeled_graph_b_nat,SV49: labeled_graph_b_nat] :
( ( ! [SY374: labeled_graph_b_nat] :
( ( ( produc194497945_b_nat @ ( produc951298923_b_nat @ SV49 @ SV118 ) )
!= SY374 )
| ( SV118 = SY374 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[670]) ).
thf(750,plain,
! [SV119: set_nat,SV50: set_nat] :
( ( ~ ( ord_less_eq_set_nat @ SV50 @ SV119 )
| ~ ( finite_finite_nat @ SV119 )
| ( finite_finite_nat @ SV50 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[671]) ).
thf(751,plain,
! [SV120: allegorical_term_b,SV51: allegorical_term_b] :
( ( ! [SY375: allegorical_term_b,SY376: allegorical_term_b] :
( ( ( produc1990145943term_b @ SV51 @ SV120 )
!= ( produc1990145943term_b @ SY375 @ SY376 ) )
| ~ ( ( SV51 != SY375 )
| ( SV120 != SY376 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[672]) ).
thf(752,plain,
! [SV121: labeled_graph_b_nat,SV52: labeled_graph_b_nat] :
( ( ! [SY377: set_Pr1986765409at_nat] :
( ~ ( graph_529870330at_nat @ SV52 @ SV121 @ SY377 )
| ( extensible_b_nat_nat @ ( produc951298923_b_nat @ SV52 @ SV52 ) @ SV121 @ SY377 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[673]) ).
thf(753,plain,
! [SV122: produc1478835367term_b,SV53: allegorical_term_b > allegorical_term_b > $o] :
( ( ~ ( SV53 @ ( produc1223098053term_b @ SV122 ) @ ( produc854192515term_b @ SV122 ) )
| ~ ! [SY280: allegorical_term_b,SY281: allegorical_term_b] :
~ ( SV53 @ SY281 @ SY280 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[674]) ).
thf(754,plain,
! [SV123: labeled_graph_b_nat,SV54: labeled_graph_b_nat] :
( ( ! [SY380: labeled_graph_b_nat,SY381: set_Pr1986765409at_nat] :
( ~ ( graph_529870330at_nat @ SV54 @ SV123 @ ( id_on_nat @ ( labele460410879_b_nat @ SV54 ) ) )
| ~ ( graph_529870330at_nat @ SY380 @ SV54 @ SY381 )
| ( graph_529870330at_nat @ SY380 @ SV123 @ SY381 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[675]) ).
thf(755,plain,
! [SV124: allegorical_term_b,SV55: allegorical_term_b] :
( ( ! [SY382: allegorical_term_b,SY383: allegorical_term_b] :
( ( ( produc1990145943term_b @ SV55 @ SV124 )
= ( produc1990145943term_b @ SY382 @ SY383 ) )
= ( ~ ( ( SV55 != SY382 )
| ( SV124 != SY383 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[676]) ).
thf(756,plain,
! [SV125: allegorical_term_b,SV56: allegorical_term_b] :
( ( ! [SY384: allegorical_term_b] :
( ( ( produc854192515term_b @ ( produc1990145943term_b @ SV56 @ SV125 ) )
!= SY384 )
| ( SV56 = SY384 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[677]) ).
thf(757,plain,
! [SV126: produc1478835367term_b,SV57: produc1478835367term_b] :
( ( ~ ~ ( ( ( produc854192515term_b @ SV57 )
!= ( produc854192515term_b @ SV126 ) )
| ( ( produc1223098053term_b @ SV57 )
!= ( produc1223098053term_b @ SV126 ) ) )
| ( SV57 = SV126 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[678]) ).
thf(758,plain,
! [SV127: labeled_graph_b_nat,SV58: labeled_graph_b_nat] :
( ( ~ ( graph_529870330at_nat @ SV58 @ SV127 @ ( id_on_nat @ ( labele460410879_b_nat @ SV58 ) ) )
| ( ord_less_eq_set_nat @ ( labele460410879_b_nat @ SV58 ) @ ( labele460410879_b_nat @ SV127 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[679]) ).
thf(759,plain,
! [SV59: produc1235635379_b_nat] :
( ( ! [SY292: labeled_graph_b_nat,SY293: labeled_graph_b_nat] :
( SV59
!= ( produc951298923_b_nat @ SY292 @ SY293 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[680]) ).
thf(760,plain,
! [SV128: labeled_graph_b_nat,SV60: labeled_graph_b_nat] :
( ( ! [SY385: labeled_graph_b_nat] :
( ( ( produc1542243159_b_nat @ ( produc951298923_b_nat @ SV60 @ SV128 ) )
!= SY385 )
| ( SV60 = SY385 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[681]) ).
thf(761,plain,
! [SV129: labeled_graph_b_nat,SV61: labeled_graph_b_nat > labeled_graph_b_nat > $o] :
( ( ! [SY386: labeled_graph_b_nat,SY387: produc1235635379_b_nat] :
( ~ ( SV61 @ SV129 @ SY386 )
| ( SY387
!= ( produc951298923_b_nat @ SV129 @ SY386 ) )
| ( SV61 @ ( produc1542243159_b_nat @ SY387 ) @ ( produc194497945_b_nat @ SY387 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[682]) ).
thf(762,plain,
! [SV130: produc1235635379_b_nat,SV62: produc1235635379_b_nat] :
( ( ~ ~ ( ( ( produc1542243159_b_nat @ SV62 )
!= ( produc1542243159_b_nat @ SV130 ) )
| ( ( produc194497945_b_nat @ SV62 )
!= ( produc194497945_b_nat @ SV130 ) ) )
| ( SV62 = SV130 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[683]) ).
thf(763,plain,
! [SV131: produc1235635379_b_nat,SV63: labeled_graph_b_nat > labeled_graph_b_nat > $o] :
( ( ~ ( SV63 @ ( produc194497945_b_nat @ SV131 ) @ ( produc1542243159_b_nat @ SV131 ) )
| ~ ! [SY301: labeled_graph_b_nat,SY302: labeled_graph_b_nat] :
~ ( SV63 @ SY302 @ SY301 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[684]) ).
thf(764,plain,
! [SV64: set_Pr9961929at_nat] :
( ( ( ~ ~ ( finite1987068434at_nat @ SV64 ) )
= $true )
| ( ( SV64 != bot_bo1626616373at_nat )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[685]) ).
thf(765,plain,
! [SV132: allegorical_term_b,SV65: allegorical_term_b] :
( ( ! [SY390: allegorical_term_b,SY391: allegorical_term_b] :
( ( ( allegorical_A_Int_b @ SV65 @ SV132 )
= ( allegorical_A_Int_b @ SY390 @ SY391 ) )
= ( ~ ( ( SV65 != SY390 )
| ( SV132 != SY391 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[686]) ).
thf(766,plain,
! [SV66: b] :
( ( ~ ~ ( ~ ~ ( ~ ( graph_529870330at_nat @ ( produc1542243159_b_nat @ ( standa1329480013rule_b @ SV66 ) ) @ ( produc194497945_b_nat @ ( standa1329480013rule_b @ SV66 ) ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ ( standa1329480013rule_b @ SV66 ) ) ) ) )
| ( ( produc194497945_b_nat @ ( standa1329480013rule_b @ SV66 ) )
!= ( restrict_b_nat @ ( produc194497945_b_nat @ ( standa1329480013rule_b @ SV66 ) ) ) ) )
| ~ ( finite_finite_nat @ ( labele460410879_b_nat @ ( produc194497945_b_nat @ ( standa1329480013rule_b @ SV66 ) ) ) ) )
| ~ ( finite1987068434at_nat @ ( labeled_edges_b_nat @ ( produc194497945_b_nat @ ( standa1329480013rule_b @ SV66 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[687]) ).
thf(767,plain,
! [SV67: b] :
( ( ~ ~ ( ~ ~ ( ~ ( graph_529870330at_nat @ ( produc1542243159_b_nat @ ( standa1360217389rule_b @ SV67 ) ) @ ( produc194497945_b_nat @ ( standa1360217389rule_b @ SV67 ) ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ ( standa1360217389rule_b @ SV67 ) ) ) ) )
| ( ( produc194497945_b_nat @ ( standa1360217389rule_b @ SV67 ) )
!= ( restrict_b_nat @ ( produc194497945_b_nat @ ( standa1360217389rule_b @ SV67 ) ) ) ) )
| ~ ( finite_finite_nat @ ( labele460410879_b_nat @ ( produc194497945_b_nat @ ( standa1360217389rule_b @ SV67 ) ) ) ) )
| ~ ( finite1987068434at_nat @ ( labeled_edges_b_nat @ ( produc194497945_b_nat @ ( standa1360217389rule_b @ SV67 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[688]) ).
thf(768,plain,
! [SV133: produc1478835367term_b,SV68: produc1478835367term_b] :
( ( ( ( produc854192515term_b @ SV68 )
!= ( produc854192515term_b @ SV133 ) )
| ( ( produc1223098053term_b @ SV68 )
!= ( produc1223098053term_b @ SV133 ) )
| ( SV68 = SV133 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[689]) ).
thf(769,plain,
! [SV134: produc1235635379_b_nat,SV69: labeled_graph_b_nat] :
( ( ( SV69
= ( produc194497945_b_nat @ SV134 ) )
= ( ~ ! [SY392: labeled_graph_b_nat] :
( SV134
!= ( produc951298923_b_nat @ SY392 @ SV69 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[690]) ).
thf(770,plain,
! [SV135: produc1478835367term_b,SV70: produc1478835367term_b > $o] :
( ( ~ ! [SY310: allegorical_term_b,SY311: allegorical_term_b] : ( SV70 @ ( produc1990145943term_b @ SY310 @ SY311 ) )
| ( SV70 @ SV135 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[691]) ).
thf(771,plain,
! [SV136: allegorical_term_b,SV71: allegorical_term_b > allegorical_term_b > $o] :
( ( ! [SY395: allegorical_term_b] :
( ~ ( SV71 @ SV136 @ SY395 )
| ( SV71 @ ( produc1223098053term_b @ ( produc1990145943term_b @ SY395 @ SV136 ) ) @ ( produc854192515term_b @ ( produc1990145943term_b @ SY395 @ SV136 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[692]) ).
thf(772,plain,
! [SV137: produc1235635379_b_nat] :
( ( ( ^ [SY396: produc1235635379_b_nat] : ( SV137 = SY396 ) )
= ( ^ [SY397: produc1235635379_b_nat] :
~ ( ( ( produc1542243159_b_nat @ SV137 )
!= ( produc1542243159_b_nat @ SY397 ) )
| ( ( produc194497945_b_nat @ SV137 )
!= ( produc194497945_b_nat @ SY397 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[693]) ).
thf(773,plain,
! [SV138: labeled_graph_b_nat,SV73: labeled_graph_b_nat > $o] :
( ( ! [SY398: labeled_graph_b_nat > $o,SY399: labeled_graph_b_nat] :
( ~ ( SV73 @ SV138 )
| ~ ( SY398 @ SY399 )
| ~ ( ~ ( SV73 @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ SV138 @ SY399 ) ) )
| ~ ( SY398 @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ SV138 @ SY399 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[695]) ).
thf(774,plain,
! [SV139: allegorical_term_b,SV74: allegorical_term_b] :
( ( ! [SY400: allegorical_term_b,SY401: allegorical_term_b] :
( ( ( produc1990145943term_b @ SV74 @ SV139 )
= ( produc1990145943term_b @ SY400 @ SY401 ) )
= ( ~ ( ( SV74 != SY400 )
| ( SV139 != SY401 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[696]) ).
thf(775,plain,
! [SV140: labeled_graph_b_nat,SV75: labeled_graph_b_nat] :
( ( ~ ~ ( ( ( labeled_edges_b_nat @ SV75 )
!= ( labeled_edges_b_nat @ SV140 ) )
| ( ( labele460410879_b_nat @ SV75 )
!= ( labele460410879_b_nat @ SV140 ) ) )
| ( SV75 = SV140 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[697]) ).
thf(776,plain,
! [SV76: produc1478835367term_b] :
( ( ! [SY323: allegorical_term_b,SY324: allegorical_term_b] :
( SV76
!= ( produc1990145943term_b @ SY323 @ SY324 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[698]) ).
thf(777,plain,
! [SV141: allegorical_term_b,SV77: produc1478835367term_b] :
( ( ! [SY402: allegorical_term_b] :
( ( SV77
!= ( produc1990145943term_b @ SV141 @ SY402 ) )
| ( ( produc854192515term_b @ SV77 )
= SV141 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[699]) ).
thf(778,plain,
! [SV142: allegorical_term_b,SV78: allegorical_term_b > $o] :
( ( ! [SY403: allegorical_term_b > $o,SY404: allegorical_term_b] :
( ~ ( SV78 @ SV142 )
| ~ ( SY403 @ SY404 )
| ~ ( ~ ( SV78 @ ( produc854192515term_b @ ( produc1990145943term_b @ SV142 @ SY404 ) ) )
| ~ ( SY403 @ ( produc1223098053term_b @ ( produc1990145943term_b @ SV142 @ SY404 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[700]) ).
thf(779,plain,
! [SV143: produc1478835367term_b] :
( ( ( ^ [SY405: produc1478835367term_b] : ( SV143 = SY405 ) )
= ( ^ [SY406: produc1478835367term_b] :
~ ( ( ( produc854192515term_b @ SV143 )
!= ( produc854192515term_b @ SY406 ) )
| ( ( produc1223098053term_b @ SV143 )
!= ( produc1223098053term_b @ SY406 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[701]) ).
thf(780,plain,
! [SV144: labeled_graph_b_nat,SV80: produc1235635379_b_nat] :
( ( ! [SY407: labeled_graph_b_nat] :
( ( SV80
!= ( produc951298923_b_nat @ SV144 @ SY407 ) )
| ( ( produc1542243159_b_nat @ SV80 )
= SV144 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[703]) ).
thf(781,plain,
! [SV145: set_Pr9961929at_nat,SV81: set_Pr9961929at_nat] :
( ( ~ ( finite1987068434at_nat @ SV81 )
| ~ ( ord_le910748009at_nat @ SV145 @ SV81 )
| ( finite1987068434at_nat @ SV145 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[704]) ).
thf(782,plain,
! [SV146: produc1478835367term_b,SV82: produc1478835367term_b > $o] :
( ( ~ ! [SY336: allegorical_term_b,SY337: allegorical_term_b] : ( SV82 @ ( produc1990145943term_b @ SY336 @ SY337 ) )
| ( SV82 @ SV146 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[705]) ).
thf(783,plain,
! [SV147: labeled_graph_b_nat,SV83: labeled_graph_b_nat] :
( ( ( graph_529870330at_nat @ SV83 @ SV147 @ ( id_on_nat @ ( labele460410879_b_nat @ SV83 ) ) )
= ( ~ ( ~ ~ ( ( SV83
!= ( restrict_b_nat @ SV83 ) )
| ( SV147
!= ( restrict_b_nat @ SV147 ) ) )
| ( ( graph_union_b_nat @ SV83 @ SV147 )
!= SV147 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[706]) ).
thf(784,plain,
! [SV148: set_nat,SV84: set_nat] :
( ( ~ ( finite_finite_nat @ SV84 )
| ~ ( ord_less_eq_set_nat @ SV148 @ SV84 )
| ( finite_finite_nat @ SV148 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[707]) ).
thf(785,plain,
! [SV85: produc1478835367term_b] :
( ( ! [SY340: allegorical_term_b] :
~ ~ ! [SY341: allegorical_term_b] :
( SV85
!= ( produc1990145943term_b @ SY340 @ SY341 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[708]) ).
thf(786,plain,
! [SV149: labeled_graph_b_nat,SV86: labeled_graph_b_nat] :
( ( ! [SY410: labeled_graph_b_nat,SY411: labeled_graph_b_nat] :
( ( ( produc951298923_b_nat @ SV86 @ SV149 )
!= ( produc951298923_b_nat @ SY410 @ SY411 ) )
| ~ ( ( SV86 != SY410 )
| ( SV149 != SY411 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[709]) ).
thf(787,plain,
! [SV150: allegorical_term_b,SV87: allegorical_term_b] :
( ( ~ ( ~ ~ ( ~ ~ ( ~ ( graph_529870330at_nat @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV87 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV87 @ SV150 ) ) ) ) @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV87 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV87 @ SV150 ) ) ) ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV87 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV87 @ SV150 ) ) ) ) ) ) )
| ( ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV87 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV87 @ SV150 ) ) ) )
!= ( restrict_b_nat @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV87 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV87 @ SV150 ) ) ) ) ) ) )
| ~ ( finite_finite_nat @ ( labele460410879_b_nat @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV87 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV87 @ SV150 ) ) ) ) ) ) )
| ~ ( finite1987068434at_nat @ ( labeled_edges_b_nat @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV87 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV87 @ SV150 ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[710]) ).
thf(788,plain,
! [SV151: allegorical_term_b,SV88: allegorical_term_b] :
( ( ! [SY412: set_Pr1163220871term_b,SY413: allegorical_term_b] :
( ~ ( member516522448term_b @ ( produc1990145943term_b @ SV88 @ SV151 ) @ SY412 )
| ( SY413 != SV151 )
| ( member516522448term_b @ ( produc1990145943term_b @ SV88 @ SY413 ) @ SY412 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[711]) ).
thf(789,plain,
! [SV152: labeled_graph_b_nat,SV89: produc1235635379_b_nat] :
( ( ! [SY414: labeled_graph_b_nat] :
( ( SV89
!= ( produc951298923_b_nat @ SV152 @ SY414 ) )
| ( ( produc194497945_b_nat @ SV89 )
= SY414 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[712]) ).
thf(790,plain,
! [SV153: produc1235635379_b_nat,SV90: produc1235635379_b_nat > $o] :
( ( ~ ! [SY352: labeled_graph_b_nat,SY353: labeled_graph_b_nat] : ( SV90 @ ( produc951298923_b_nat @ SY352 @ SY353 ) )
| ( SV90 @ SV153 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[713]) ).
thf(791,plain,
( ( ~ ~ ( ~ ~ ( ~ ( graph_529870330at_nat @ ( produc1542243159_b_nat @ standa879863266rule_b ) @ ( produc194497945_b_nat @ standa879863266rule_b ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ standa879863266rule_b ) ) ) )
| ( ( produc194497945_b_nat @ standa879863266rule_b )
!= ( restrict_b_nat @ ( produc194497945_b_nat @ standa879863266rule_b ) ) ) )
| ~ ( finite_finite_nat @ ( labele460410879_b_nat @ ( produc194497945_b_nat @ standa879863266rule_b ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[714]) ).
thf(792,plain,
( ( ~ ( finite1987068434at_nat @ ( labeled_edges_b_nat @ ( produc194497945_b_nat @ standa879863266rule_b ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[714]) ).
thf(793,plain,
! [SV1: labeled_graph_b_nat] :
( ( ( ~ ( ( graph_529870330at_nat @ SV1 @ SV1 @ ( id_on_nat @ ( labele460410879_b_nat @ SV1 ) ) )
| ( SV1
= ( restrict_b_nat @ SV1 ) ) ) )
= $true )
| ( ( ~ ( ~ ( graph_529870330at_nat @ SV1 @ SV1 @ ( id_on_nat @ ( labele460410879_b_nat @ SV1 ) ) )
| ( SV1
!= ( restrict_b_nat @ SV1 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[715]) ).
thf(794,plain,
! [SV2: labeled_graph_b_nat] :
( ( ( ~ ( ( graph_529870330at_nat @ SV2 @ ( restrict_b_nat @ SV2 ) @ ( id_on_nat @ ( labele460410879_b_nat @ SV2 ) ) )
| ( SV2
= ( restrict_b_nat @ SV2 ) ) ) )
= $true )
| ( ( ~ ( ~ ( graph_529870330at_nat @ SV2 @ ( restrict_b_nat @ SV2 ) @ ( id_on_nat @ ( labele460410879_b_nat @ SV2 ) ) )
| ( SV2
!= ( restrict_b_nat @ SV2 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[717]) ).
thf(795,plain,
! [SV26: produc1235635379_b_nat] :
( ( ~ ~ ! [SY417: labeled_graph_b_nat] :
( SV26
!= ( produc951298923_b_nat @ ( sK1_SY229 @ SV26 ) @ SY417 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[726]) ).
thf(796,plain,
! [SV154: allegorical_term_b,SV98: allegorical_term_b,SV27: allegorical_term_b > allegorical_term_b > $o] :
( ( ! [SY418: produc1478835367term_b] :
( ~ ( SV27 @ SV98 @ SV154 )
| ( SY418
!= ( produc1990145943term_b @ SV98 @ SV154 ) )
| ( SV27 @ ( produc854192515term_b @ SY418 ) @ ( produc1223098053term_b @ SY418 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[727]) ).
thf(797,plain,
! [SV99: nat,SV28: nat > labeled_graph_b_nat] :
( ( ( ~ ( chain_b_nat @ SV28 ) )
= $true )
| ( ( ( SV28 @ SV99 )
= ( restrict_b_nat @ ( SV28 @ SV99 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[728]) ).
thf(798,plain,
! [SV155: allegorical_term_b,SV100: allegorical_term_b,SV29: allegorical_term_b] :
( ( ( ( produc1223098053term_b @ ( produc1990145943term_b @ SV29 @ SV100 ) )
!= SV155 )
| ( SV100 = SV155 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[729]) ).
thf(799,plain,
! [SV101: set_Pr9961929at_nat,SV30: set_Pr9961929at_nat] :
( ( ( ~ ( ord_le910748009at_nat @ SV30 @ SV101 ) )
= $true )
| ( ( ~ ( finite1987068434at_nat @ SV101 )
| ( finite1987068434at_nat @ SV30 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[730]) ).
thf(800,plain,
! [SV156: set_Pr551076371_b_nat,SV102: labeled_graph_b_nat,SV31: labeled_graph_b_nat] :
( ( ! [SY419: labeled_graph_b_nat] :
( ~ ( member963855452_b_nat @ ( produc951298923_b_nat @ SV31 @ SV102 ) @ SV156 )
| ( SY419 != SV102 )
| ( member963855452_b_nat @ ( produc951298923_b_nat @ SV31 @ SY419 ) @ SV156 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[731]) ).
thf(801,plain,
! [SV103: produc1235635379_b_nat,SV32: labeled_graph_b_nat] :
( ( ~ ( ( SV32
= ( produc1542243159_b_nat @ SV103 ) )
| ~ ! [SY359: labeled_graph_b_nat] :
( SV103
!= ( produc951298923_b_nat @ SV32 @ SY359 ) ) )
| ~ ( ( SV32
!= ( produc1542243159_b_nat @ SV103 ) )
| ~ ~ ! [SY359: labeled_graph_b_nat] :
( SV103
!= ( produc951298923_b_nat @ SV32 @ SY359 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[732]) ).
thf(802,plain,
! [SV103: produc1235635379_b_nat,SV32: labeled_graph_b_nat] :
( ( ( SV32
= ( produc1542243159_b_nat @ SV103 ) )
= ( ~ ! [SY359: labeled_graph_b_nat] :
( SV103
!= ( produc951298923_b_nat @ SV32 @ SY359 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[732]) ).
thf(803,plain,
! [SV157: labeled_graph_b_nat,SV104: labeled_graph_b_nat,SV33: labeled_graph_b_nat] :
( ( ! [SY420: labeled_graph_b_nat] :
( ( ( produc951298923_b_nat @ SV33 @ SV104 )
= ( produc951298923_b_nat @ SV157 @ SY420 ) )
= ( ~ ( ( SV33 != SV157 )
| ( SV104 != SY420 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[733]) ).
thf(804,plain,
! [SV105: produc1235635379_b_nat,SV34: produc1235635379_b_nat] :
( ( ( ( produc1542243159_b_nat @ SV34 )
!= ( produc1542243159_b_nat @ SV105 ) )
= $true )
| ( ( ( ( produc194497945_b_nat @ SV34 )
!= ( produc194497945_b_nat @ SV105 ) )
| ( SV34 = SV105 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[734]) ).
thf(805,plain,
! [SV106: produc1478835367term_b,SV35: allegorical_term_b] :
( ( ~ ( ( SV35
= ( produc1223098053term_b @ SV106 ) )
| ~ ! [SY362: allegorical_term_b] :
( SV106
!= ( produc1990145943term_b @ SY362 @ SV35 ) ) )
| ~ ( ( SV35
!= ( produc1223098053term_b @ SV106 ) )
| ~ ~ ! [SY362: allegorical_term_b] :
( SV106
!= ( produc1990145943term_b @ SY362 @ SV35 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[735]) ).
thf(806,plain,
! [SV106: produc1478835367term_b,SV35: allegorical_term_b] :
( ( ( SV35
= ( produc1223098053term_b @ SV106 ) )
= ( ~ ! [SY362: allegorical_term_b] :
( SV106
!= ( produc1990145943term_b @ SY362 @ SV35 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[735]) ).
thf(807,plain,
! [SV107: labeled_graph_b_nat,SV36: labeled_graph_b_nat] :
( ( ( SV36
!= ( restrict_b_nat @ SV36 ) )
= $true )
| ( ( ( SV107
!= ( restrict_b_nat @ SV107 ) )
| ( ( graph_union_b_nat @ SV36 @ SV107 )
= ( restrict_b_nat @ ( graph_union_b_nat @ SV36 @ SV107 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[736]) ).
thf(808,plain,
! [SV158: labeled_graph_b_nat,SV108: labeled_graph_b_nat,SV37: labeled_graph_b_nat > labeled_graph_b_nat > $o] :
( ( ~ ( SV37 @ SV108 @ SV158 )
| ( SV37 @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ SV158 @ SV108 ) ) @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ SV158 @ SV108 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[737]) ).
thf(809,plain,
! [SV109: labeled_graph_b_nat,SV38: labeled_graph_b_nat] :
( ( ( ~ ( graph_529870330at_nat @ SV38 @ SV109 @ ( id_on_nat @ ( labele460410879_b_nat @ SV38 ) ) ) )
= $true )
| ( ( ord_le910748009at_nat @ ( labeled_edges_b_nat @ ( restrict_b_nat @ SV38 ) ) @ ( labeled_edges_b_nat @ SV109 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[738]) ).
thf(810,plain,
! [SV159: labeled_graph_b_nat,SV110: labeled_graph_b_nat,SV39: labeled_graph_b_nat] :
( ( ! [SY421: labeled_graph_b_nat] :
( ( ( produc951298923_b_nat @ SV39 @ SV110 )
= ( produc951298923_b_nat @ SV159 @ SY421 ) )
= ( ~ ( ( SV39 != SV159 )
| ( SV110 != SY421 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[739]) ).
thf(811,plain,
! [SV160: allegorical_term_b,SV111: allegorical_term_b,SV40: produc1478835367term_b] :
( ( ( SV40
!= ( produc1990145943term_b @ SV111 @ SV160 ) )
| ( ( produc1223098053term_b @ SV40 )
= SV160 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[740]) ).
thf(812,plain,
! [SV112: produc1478835367term_b,SV41: allegorical_term_b] :
( ( ~ ( ( SV41
= ( produc854192515term_b @ SV112 ) )
| ~ ! [SY367: allegorical_term_b] :
( SV112
!= ( produc1990145943term_b @ SV41 @ SY367 ) ) )
| ~ ( ( SV41
!= ( produc854192515term_b @ SV112 ) )
| ~ ~ ! [SY367: allegorical_term_b] :
( SV112
!= ( produc1990145943term_b @ SV41 @ SY367 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[741]) ).
thf(813,plain,
! [SV112: produc1478835367term_b,SV41: allegorical_term_b] :
( ( ( SV41
= ( produc854192515term_b @ SV112 ) )
= ( ~ ! [SY367: allegorical_term_b] :
( SV112
!= ( produc1990145943term_b @ SV41 @ SY367 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[741]) ).
thf(814,plain,
! [SV113: produc1235635379_b_nat,SV42: produc1235635379_b_nat > $o] :
( ( ( ~ ! [SY261: labeled_graph_b_nat,SY262: labeled_graph_b_nat] : ( SV42 @ ( produc951298923_b_nat @ SY261 @ SY262 ) ) )
= $true )
| ( ( SV42 @ SV113 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[742]) ).
thf(815,plain,
! [SV161: set_Pr1986765409at_nat,SV114: labeled_graph_b_nat,SV43: labeled_graph_b_nat] :
( ( ! [SY422: labeled_graph_b_nat,SY423: set_Pr1986765409at_nat] :
( ~ ( graph_529870330at_nat @ SV43 @ SV114 @ SV161 )
| ~ ( graph_529870330at_nat @ SV114 @ SY422 @ SY423 )
| ( graph_529870330at_nat @ SV43 @ SY422 @ ( relcomp_nat_nat_nat @ SV161 @ SY423 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[743]) ).
thf(816,plain,
! [SV162: labeled_graph_b_nat,SV115: labeled_graph_b_nat,SV44: labeled_graph_b_nat] :
( ( ~ ( graph_529870330at_nat @ SV44 @ SV115 @ ( id_on_nat @ ( labele460410879_b_nat @ SV44 ) ) )
| ~ ( graph_529870330at_nat @ SV115 @ SV162 @ ( id_on_nat @ ( labele460410879_b_nat @ SV115 ) ) )
| ( graph_529870330at_nat @ SV44 @ SV162 @ ( id_on_nat @ ( labele460410879_b_nat @ SV44 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[744]) ).
thf(817,plain,
! [SV116: set_nat,SV45: set_nat] :
( ( ( ~ ( ord_less_eq_set_nat @ SV45 @ SV116 ) )
= $true )
| ( ( ~ ~ ( finite_finite_nat @ SV45 )
| ~ ( finite_finite_nat @ SV116 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[745]) ).
thf(818,plain,
! [SV117: set_Pr9961929at_nat,SV46: set_Pr9961929at_nat] :
( ( ( ~ ( ord_le910748009at_nat @ SV46 @ SV117 ) )
= $true )
| ( ( ~ ~ ( finite1987068434at_nat @ SV46 )
| ~ ( finite1987068434at_nat @ SV117 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[746]) ).
thf(819,plain,
! [SV47: labeled_graph_b_nat] :
( ( ( ord_le910748009at_nat @ ( labeled_edges_b_nat @ SV47 ) @ ( labeled_edges_b_nat @ ( restrict_b_nat @ SV47 ) ) )
= $false )
| ( ( SV47
= ( restrict_b_nat @ SV47 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[747]) ).
thf(820,plain,
! [SV48: set_nat] :
( ( ( ~ ( finite_finite_nat @ SV48 ) )
= $false )
| ( ( SV48 != bot_bot_set_nat )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[748]) ).
thf(821,plain,
! [SV163: labeled_graph_b_nat,SV118: labeled_graph_b_nat,SV49: labeled_graph_b_nat] :
( ( ( ( produc194497945_b_nat @ ( produc951298923_b_nat @ SV49 @ SV118 ) )
!= SV163 )
| ( SV118 = SV163 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[749]) ).
thf(822,plain,
! [SV119: set_nat,SV50: set_nat] :
( ( ( ~ ( ord_less_eq_set_nat @ SV50 @ SV119 ) )
= $true )
| ( ( ~ ( finite_finite_nat @ SV119 )
| ( finite_finite_nat @ SV50 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[750]) ).
thf(823,plain,
! [SV164: allegorical_term_b,SV120: allegorical_term_b,SV51: allegorical_term_b] :
( ( ! [SY424: allegorical_term_b] :
( ( ( produc1990145943term_b @ SV51 @ SV120 )
!= ( produc1990145943term_b @ SV164 @ SY424 ) )
| ~ ( ( SV51 != SV164 )
| ( SV120 != SY424 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[751]) ).
thf(824,plain,
! [SV165: set_Pr1986765409at_nat,SV121: labeled_graph_b_nat,SV52: labeled_graph_b_nat] :
( ( ~ ( graph_529870330at_nat @ SV52 @ SV121 @ SV165 )
| ( extensible_b_nat_nat @ ( produc951298923_b_nat @ SV52 @ SV52 ) @ SV121 @ SV165 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[752]) ).
thf(825,plain,
! [SV122: produc1478835367term_b,SV53: allegorical_term_b > allegorical_term_b > $o] :
( ( ( ~ ( SV53 @ ( produc1223098053term_b @ SV122 ) @ ( produc854192515term_b @ SV122 ) ) )
= $true )
| ( ( ~ ! [SY280: allegorical_term_b,SY281: allegorical_term_b] :
~ ( SV53 @ SY281 @ SY280 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[753]) ).
thf(826,plain,
! [SV166: labeled_graph_b_nat,SV123: labeled_graph_b_nat,SV54: labeled_graph_b_nat] :
( ( ! [SY425: set_Pr1986765409at_nat] :
( ~ ( graph_529870330at_nat @ SV54 @ SV123 @ ( id_on_nat @ ( labele460410879_b_nat @ SV54 ) ) )
| ~ ( graph_529870330at_nat @ SV166 @ SV54 @ SY425 )
| ( graph_529870330at_nat @ SV166 @ SV123 @ SY425 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[754]) ).
thf(827,plain,
! [SV167: allegorical_term_b,SV124: allegorical_term_b,SV55: allegorical_term_b] :
( ( ! [SY426: allegorical_term_b] :
( ( ( produc1990145943term_b @ SV55 @ SV124 )
= ( produc1990145943term_b @ SV167 @ SY426 ) )
= ( ~ ( ( SV55 != SV167 )
| ( SV124 != SY426 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[755]) ).
thf(828,plain,
! [SV168: allegorical_term_b,SV125: allegorical_term_b,SV56: allegorical_term_b] :
( ( ( ( produc854192515term_b @ ( produc1990145943term_b @ SV56 @ SV125 ) )
!= SV168 )
| ( SV56 = SV168 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[756]) ).
thf(829,plain,
! [SV126: produc1478835367term_b,SV57: produc1478835367term_b] :
( ( ( ~ ~ ( ( ( produc854192515term_b @ SV57 )
!= ( produc854192515term_b @ SV126 ) )
| ( ( produc1223098053term_b @ SV57 )
!= ( produc1223098053term_b @ SV126 ) ) ) )
= $true )
| ( ( SV57 = SV126 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[757]) ).
thf(830,plain,
! [SV127: labeled_graph_b_nat,SV58: labeled_graph_b_nat] :
( ( ( ~ ( graph_529870330at_nat @ SV58 @ SV127 @ ( id_on_nat @ ( labele460410879_b_nat @ SV58 ) ) ) )
= $true )
| ( ( ord_less_eq_set_nat @ ( labele460410879_b_nat @ SV58 ) @ ( labele460410879_b_nat @ SV127 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[758]) ).
thf(831,plain,
! [SV59: produc1235635379_b_nat] :
( ( ! [SY427: labeled_graph_b_nat] :
( SV59
!= ( produc951298923_b_nat @ ( sK2_SY292 @ SV59 ) @ SY427 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[759]) ).
thf(832,plain,
! [SV169: labeled_graph_b_nat,SV128: labeled_graph_b_nat,SV60: labeled_graph_b_nat] :
( ( ( ( produc1542243159_b_nat @ ( produc951298923_b_nat @ SV60 @ SV128 ) )
!= SV169 )
| ( SV60 = SV169 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[760]) ).
thf(833,plain,
! [SV170: labeled_graph_b_nat,SV129: labeled_graph_b_nat,SV61: labeled_graph_b_nat > labeled_graph_b_nat > $o] :
( ( ! [SY428: produc1235635379_b_nat] :
( ~ ( SV61 @ SV129 @ SV170 )
| ( SY428
!= ( produc951298923_b_nat @ SV129 @ SV170 ) )
| ( SV61 @ ( produc1542243159_b_nat @ SY428 ) @ ( produc194497945_b_nat @ SY428 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[761]) ).
thf(834,plain,
! [SV130: produc1235635379_b_nat,SV62: produc1235635379_b_nat] :
( ( ( ~ ~ ( ( ( produc1542243159_b_nat @ SV62 )
!= ( produc1542243159_b_nat @ SV130 ) )
| ( ( produc194497945_b_nat @ SV62 )
!= ( produc194497945_b_nat @ SV130 ) ) ) )
= $true )
| ( ( SV62 = SV130 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[762]) ).
thf(835,plain,
! [SV131: produc1235635379_b_nat,SV63: labeled_graph_b_nat > labeled_graph_b_nat > $o] :
( ( ( ~ ( SV63 @ ( produc194497945_b_nat @ SV131 ) @ ( produc1542243159_b_nat @ SV131 ) ) )
= $true )
| ( ( ~ ! [SY301: labeled_graph_b_nat,SY302: labeled_graph_b_nat] :
~ ( SV63 @ SY302 @ SY301 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[763]) ).
thf(836,plain,
! [SV64: set_Pr9961929at_nat] :
( ( ( ~ ( finite1987068434at_nat @ SV64 ) )
= $false )
| ( ( SV64 != bot_bo1626616373at_nat )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[764]) ).
thf(837,plain,
! [SV171: allegorical_term_b,SV132: allegorical_term_b,SV65: allegorical_term_b] :
( ( ! [SY429: allegorical_term_b] :
( ( ( allegorical_A_Int_b @ SV65 @ SV132 )
= ( allegorical_A_Int_b @ SV171 @ SY429 ) )
= ( ~ ( ( SV65 != SV171 )
| ( SV132 != SY429 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[765]) ).
thf(838,plain,
! [SV66: b] :
( ( ~ ~ ( ~ ~ ( ~ ( graph_529870330at_nat @ ( produc1542243159_b_nat @ ( standa1329480013rule_b @ SV66 ) ) @ ( produc194497945_b_nat @ ( standa1329480013rule_b @ SV66 ) ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ ( standa1329480013rule_b @ SV66 ) ) ) ) )
| ( ( produc194497945_b_nat @ ( standa1329480013rule_b @ SV66 ) )
!= ( restrict_b_nat @ ( produc194497945_b_nat @ ( standa1329480013rule_b @ SV66 ) ) ) ) )
| ~ ( finite_finite_nat @ ( labele460410879_b_nat @ ( produc194497945_b_nat @ ( standa1329480013rule_b @ SV66 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[766]) ).
thf(839,plain,
! [SV66: b] :
( ( ~ ( finite1987068434at_nat @ ( labeled_edges_b_nat @ ( produc194497945_b_nat @ ( standa1329480013rule_b @ SV66 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[766]) ).
thf(840,plain,
! [SV67: b] :
( ( ~ ~ ( ~ ~ ( ~ ( graph_529870330at_nat @ ( produc1542243159_b_nat @ ( standa1360217389rule_b @ SV67 ) ) @ ( produc194497945_b_nat @ ( standa1360217389rule_b @ SV67 ) ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ ( standa1360217389rule_b @ SV67 ) ) ) ) )
| ( ( produc194497945_b_nat @ ( standa1360217389rule_b @ SV67 ) )
!= ( restrict_b_nat @ ( produc194497945_b_nat @ ( standa1360217389rule_b @ SV67 ) ) ) ) )
| ~ ( finite_finite_nat @ ( labele460410879_b_nat @ ( produc194497945_b_nat @ ( standa1360217389rule_b @ SV67 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[767]) ).
thf(841,plain,
! [SV67: b] :
( ( ~ ( finite1987068434at_nat @ ( labeled_edges_b_nat @ ( produc194497945_b_nat @ ( standa1360217389rule_b @ SV67 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[767]) ).
thf(842,plain,
! [SV133: produc1478835367term_b,SV68: produc1478835367term_b] :
( ( ( ( produc854192515term_b @ SV68 )
!= ( produc854192515term_b @ SV133 ) )
= $true )
| ( ( ( ( produc1223098053term_b @ SV68 )
!= ( produc1223098053term_b @ SV133 ) )
| ( SV68 = SV133 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[768]) ).
thf(843,plain,
! [SV134: produc1235635379_b_nat,SV69: labeled_graph_b_nat] :
( ( ~ ( ( SV69
= ( produc194497945_b_nat @ SV134 ) )
| ~ ! [SY392: labeled_graph_b_nat] :
( SV134
!= ( produc951298923_b_nat @ SY392 @ SV69 ) ) )
| ~ ( ( SV69
!= ( produc194497945_b_nat @ SV134 ) )
| ~ ~ ! [SY392: labeled_graph_b_nat] :
( SV134
!= ( produc951298923_b_nat @ SY392 @ SV69 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[769]) ).
thf(844,plain,
! [SV134: produc1235635379_b_nat,SV69: labeled_graph_b_nat] :
( ( ( SV69
= ( produc194497945_b_nat @ SV134 ) )
= ( ~ ! [SY392: labeled_graph_b_nat] :
( SV134
!= ( produc951298923_b_nat @ SY392 @ SV69 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[769]) ).
thf(845,plain,
! [SV135: produc1478835367term_b,SV70: produc1478835367term_b > $o] :
( ( ( ~ ! [SY310: allegorical_term_b,SY311: allegorical_term_b] : ( SV70 @ ( produc1990145943term_b @ SY310 @ SY311 ) ) )
= $true )
| ( ( SV70 @ SV135 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[770]) ).
thf(846,plain,
! [SV172: allegorical_term_b,SV136: allegorical_term_b,SV71: allegorical_term_b > allegorical_term_b > $o] :
( ( ~ ( SV71 @ SV136 @ SV172 )
| ( SV71 @ ( produc1223098053term_b @ ( produc1990145943term_b @ SV172 @ SV136 ) ) @ ( produc854192515term_b @ ( produc1990145943term_b @ SV172 @ SV136 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[771]) ).
thf(847,plain,
! [SV137: produc1235635379_b_nat] :
( ( ! [SV173: produc1235635379_b_nat] :
( ( SV137 = SV173 )
= ( ~ ( ( ( produc1542243159_b_nat @ SV137 )
!= ( produc1542243159_b_nat @ SV173 ) )
| ( ( produc194497945_b_nat @ SV137 )
!= ( produc194497945_b_nat @ SV173 ) ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[772]) ).
thf(848,plain,
! [SV137: produc1235635379_b_nat] :
( ( ( ^ [SY396: produc1235635379_b_nat] : ( SV137 = SY396 ) )
= ( ^ [SY397: produc1235635379_b_nat] :
~ ( ( ( produc1542243159_b_nat @ SV137 )
!= ( produc1542243159_b_nat @ SY397 ) )
| ( ( produc194497945_b_nat @ SV137 )
!= ( produc194497945_b_nat @ SY397 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[772]) ).
thf(849,plain,
! [SV174: labeled_graph_b_nat > $o,SV138: labeled_graph_b_nat,SV73: labeled_graph_b_nat > $o] :
( ( ! [SY430: labeled_graph_b_nat] :
( ~ ( SV73 @ SV138 )
| ~ ( SV174 @ SY430 )
| ~ ( ~ ( SV73 @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ SV138 @ SY430 ) ) )
| ~ ( SV174 @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ SV138 @ SY430 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[773]) ).
thf(850,plain,
! [SV175: allegorical_term_b,SV139: allegorical_term_b,SV74: allegorical_term_b] :
( ( ! [SY431: allegorical_term_b] :
( ( ( produc1990145943term_b @ SV74 @ SV139 )
= ( produc1990145943term_b @ SV175 @ SY431 ) )
= ( ~ ( ( SV74 != SV175 )
| ( SV139 != SY431 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[774]) ).
thf(851,plain,
! [SV140: labeled_graph_b_nat,SV75: labeled_graph_b_nat] :
( ( ( ~ ~ ( ( ( labeled_edges_b_nat @ SV75 )
!= ( labeled_edges_b_nat @ SV140 ) )
| ( ( labele460410879_b_nat @ SV75 )
!= ( labele460410879_b_nat @ SV140 ) ) ) )
= $true )
| ( ( SV75 = SV140 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[775]) ).
thf(852,plain,
! [SV76: produc1478835367term_b] :
( ( ! [SY432: allegorical_term_b] :
( SV76
!= ( produc1990145943term_b @ ( sK3_SY323 @ SV76 ) @ SY432 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[776]) ).
thf(853,plain,
! [SV176: allegorical_term_b,SV141: allegorical_term_b,SV77: produc1478835367term_b] :
( ( ( SV77
!= ( produc1990145943term_b @ SV141 @ SV176 ) )
| ( ( produc854192515term_b @ SV77 )
= SV141 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[777]) ).
thf(854,plain,
! [SV177: allegorical_term_b > $o,SV142: allegorical_term_b,SV78: allegorical_term_b > $o] :
( ( ! [SY433: allegorical_term_b] :
( ~ ( SV78 @ SV142 )
| ~ ( SV177 @ SY433 )
| ~ ( ~ ( SV78 @ ( produc854192515term_b @ ( produc1990145943term_b @ SV142 @ SY433 ) ) )
| ~ ( SV177 @ ( produc1223098053term_b @ ( produc1990145943term_b @ SV142 @ SY433 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[778]) ).
thf(855,plain,
! [SV143: produc1478835367term_b] :
( ( ! [SV178: produc1478835367term_b] :
( ( SV143 = SV178 )
= ( ~ ( ( ( produc854192515term_b @ SV143 )
!= ( produc854192515term_b @ SV178 ) )
| ( ( produc1223098053term_b @ SV143 )
!= ( produc1223098053term_b @ SV178 ) ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[779]) ).
thf(856,plain,
! [SV143: produc1478835367term_b] :
( ( ( ^ [SY405: produc1478835367term_b] : ( SV143 = SY405 ) )
= ( ^ [SY406: produc1478835367term_b] :
~ ( ( ( produc854192515term_b @ SV143 )
!= ( produc854192515term_b @ SY406 ) )
| ( ( produc1223098053term_b @ SV143 )
!= ( produc1223098053term_b @ SY406 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[779]) ).
thf(857,plain,
! [SV179: labeled_graph_b_nat,SV144: labeled_graph_b_nat,SV80: produc1235635379_b_nat] :
( ( ( SV80
!= ( produc951298923_b_nat @ SV144 @ SV179 ) )
| ( ( produc1542243159_b_nat @ SV80 )
= SV144 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[780]) ).
thf(858,plain,
! [SV145: set_Pr9961929at_nat,SV81: set_Pr9961929at_nat] :
( ( ( ~ ( finite1987068434at_nat @ SV81 ) )
= $true )
| ( ( ~ ( ord_le910748009at_nat @ SV145 @ SV81 )
| ( finite1987068434at_nat @ SV145 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[781]) ).
thf(859,plain,
! [SV146: produc1478835367term_b,SV82: produc1478835367term_b > $o] :
( ( ( ~ ! [SY336: allegorical_term_b,SY337: allegorical_term_b] : ( SV82 @ ( produc1990145943term_b @ SY336 @ SY337 ) ) )
= $true )
| ( ( SV82 @ SV146 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[782]) ).
thf(860,plain,
! [SV147: labeled_graph_b_nat,SV83: labeled_graph_b_nat] :
( ( ~ ( ( graph_529870330at_nat @ SV83 @ SV147 @ ( id_on_nat @ ( labele460410879_b_nat @ SV83 ) ) )
| ~ ( ~ ~ ( ( SV83
!= ( restrict_b_nat @ SV83 ) )
| ( SV147
!= ( restrict_b_nat @ SV147 ) ) )
| ( ( graph_union_b_nat @ SV83 @ SV147 )
!= SV147 ) ) )
| ~ ( ~ ( graph_529870330at_nat @ SV83 @ SV147 @ ( id_on_nat @ ( labele460410879_b_nat @ SV83 ) ) )
| ~ ~ ( ~ ~ ( ( SV83
!= ( restrict_b_nat @ SV83 ) )
| ( SV147
!= ( restrict_b_nat @ SV147 ) ) )
| ( ( graph_union_b_nat @ SV83 @ SV147 )
!= SV147 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[783]) ).
thf(861,plain,
! [SV147: labeled_graph_b_nat,SV83: labeled_graph_b_nat] :
( ( ( graph_529870330at_nat @ SV83 @ SV147 @ ( id_on_nat @ ( labele460410879_b_nat @ SV83 ) ) )
= ( ~ ( ~ ~ ( ( SV83
!= ( restrict_b_nat @ SV83 ) )
| ( SV147
!= ( restrict_b_nat @ SV147 ) ) )
| ( ( graph_union_b_nat @ SV83 @ SV147 )
!= SV147 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[783]) ).
thf(862,plain,
! [SV148: set_nat,SV84: set_nat] :
( ( ( ~ ( finite_finite_nat @ SV84 ) )
= $true )
| ( ( ~ ( ord_less_eq_set_nat @ SV148 @ SV84 )
| ( finite_finite_nat @ SV148 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[784]) ).
thf(863,plain,
! [SV85: produc1478835367term_b] :
( ( ~ ~ ! [SY434: allegorical_term_b] :
( SV85
!= ( produc1990145943term_b @ ( sK4_SY340 @ SV85 ) @ SY434 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[785]) ).
thf(864,plain,
! [SV180: labeled_graph_b_nat,SV149: labeled_graph_b_nat,SV86: labeled_graph_b_nat] :
( ( ! [SY435: labeled_graph_b_nat] :
( ( ( produc951298923_b_nat @ SV86 @ SV149 )
!= ( produc951298923_b_nat @ SV180 @ SY435 ) )
| ~ ( ( SV86 != SV180 )
| ( SV149 != SY435 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[786]) ).
thf(865,plain,
! [SV150: allegorical_term_b,SV87: allegorical_term_b] :
( ( ~ ~ ( ~ ~ ( ~ ( graph_529870330at_nat @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV87 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV87 @ SV150 ) ) ) ) @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV87 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV87 @ SV150 ) ) ) ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV87 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV87 @ SV150 ) ) ) ) ) ) )
| ( ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV87 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV87 @ SV150 ) ) ) )
!= ( restrict_b_nat @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV87 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV87 @ SV150 ) ) ) ) ) ) )
| ~ ( finite_finite_nat @ ( labele460410879_b_nat @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV87 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV87 @ SV150 ) ) ) ) ) ) )
| ~ ( finite1987068434at_nat @ ( labeled_edges_b_nat @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV87 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV87 @ SV150 ) ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[787]) ).
thf(866,plain,
! [SV181: set_Pr1163220871term_b,SV151: allegorical_term_b,SV88: allegorical_term_b] :
( ( ! [SY436: allegorical_term_b] :
( ~ ( member516522448term_b @ ( produc1990145943term_b @ SV88 @ SV151 ) @ SV181 )
| ( SY436 != SV151 )
| ( member516522448term_b @ ( produc1990145943term_b @ SV88 @ SY436 ) @ SV181 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[788]) ).
thf(867,plain,
! [SV182: labeled_graph_b_nat,SV152: labeled_graph_b_nat,SV89: produc1235635379_b_nat] :
( ( ( SV89
!= ( produc951298923_b_nat @ SV152 @ SV182 ) )
| ( ( produc194497945_b_nat @ SV89 )
= SV182 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[789]) ).
thf(868,plain,
! [SV153: produc1235635379_b_nat,SV90: produc1235635379_b_nat > $o] :
( ( ( ~ ! [SY352: labeled_graph_b_nat,SY353: labeled_graph_b_nat] : ( SV90 @ ( produc951298923_b_nat @ SY352 @ SY353 ) ) )
= $true )
| ( ( SV90 @ SV153 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[790]) ).
thf(869,plain,
( ( ~ ( ~ ~ ( ~ ( graph_529870330at_nat @ ( produc1542243159_b_nat @ standa879863266rule_b ) @ ( produc194497945_b_nat @ standa879863266rule_b ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ standa879863266rule_b ) ) ) )
| ( ( produc194497945_b_nat @ standa879863266rule_b )
!= ( restrict_b_nat @ ( produc194497945_b_nat @ standa879863266rule_b ) ) ) )
| ~ ( finite_finite_nat @ ( labele460410879_b_nat @ ( produc194497945_b_nat @ standa879863266rule_b ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[791]) ).
thf(870,plain,
( ( finite1987068434at_nat @ ( labeled_edges_b_nat @ ( produc194497945_b_nat @ standa879863266rule_b ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[792]) ).
thf(871,plain,
! [SV1: labeled_graph_b_nat] :
( ( ( ( graph_529870330at_nat @ SV1 @ SV1 @ ( id_on_nat @ ( labele460410879_b_nat @ SV1 ) ) )
| ( SV1
= ( restrict_b_nat @ SV1 ) ) )
= $false )
| ( ( ~ ( ~ ( graph_529870330at_nat @ SV1 @ SV1 @ ( id_on_nat @ ( labele460410879_b_nat @ SV1 ) ) )
| ( SV1
!= ( restrict_b_nat @ SV1 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[793]) ).
thf(872,plain,
! [SV2: labeled_graph_b_nat] :
( ( ( ( graph_529870330at_nat @ SV2 @ ( restrict_b_nat @ SV2 ) @ ( id_on_nat @ ( labele460410879_b_nat @ SV2 ) ) )
| ( SV2
= ( restrict_b_nat @ SV2 ) ) )
= $false )
| ( ( ~ ( ~ ( graph_529870330at_nat @ SV2 @ ( restrict_b_nat @ SV2 ) @ ( id_on_nat @ ( labele460410879_b_nat @ SV2 ) ) )
| ( SV2
!= ( restrict_b_nat @ SV2 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[794]) ).
thf(873,plain,
! [SV26: produc1235635379_b_nat] :
( ( ~ ! [SY417: labeled_graph_b_nat] :
( SV26
!= ( produc951298923_b_nat @ ( sK1_SY229 @ SV26 ) @ SY417 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[795]) ).
thf(874,plain,
! [SV183: produc1478835367term_b,SV154: allegorical_term_b,SV98: allegorical_term_b,SV27: allegorical_term_b > allegorical_term_b > $o] :
( ( ~ ( SV27 @ SV98 @ SV154 )
| ( SV183
!= ( produc1990145943term_b @ SV98 @ SV154 ) )
| ( SV27 @ ( produc854192515term_b @ SV183 ) @ ( produc1223098053term_b @ SV183 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[796]) ).
thf(875,plain,
! [SV99: nat,SV28: nat > labeled_graph_b_nat] :
( ( ( chain_b_nat @ SV28 )
= $false )
| ( ( ( SV28 @ SV99 )
= ( restrict_b_nat @ ( SV28 @ SV99 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[797]) ).
thf(876,plain,
! [SV155: allegorical_term_b,SV100: allegorical_term_b,SV29: allegorical_term_b] :
( ( ( ( produc1223098053term_b @ ( produc1990145943term_b @ SV29 @ SV100 ) )
!= SV155 )
= $true )
| ( ( SV100 = SV155 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[798]) ).
thf(877,plain,
! [SV101: set_Pr9961929at_nat,SV30: set_Pr9961929at_nat] :
( ( ( ord_le910748009at_nat @ SV30 @ SV101 )
= $false )
| ( ( ~ ( finite1987068434at_nat @ SV101 )
| ( finite1987068434at_nat @ SV30 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[799]) ).
thf(878,plain,
! [SV184: labeled_graph_b_nat,SV156: set_Pr551076371_b_nat,SV102: labeled_graph_b_nat,SV31: labeled_graph_b_nat] :
( ( ~ ( member963855452_b_nat @ ( produc951298923_b_nat @ SV31 @ SV102 ) @ SV156 )
| ( SV184 != SV102 )
| ( member963855452_b_nat @ ( produc951298923_b_nat @ SV31 @ SV184 ) @ SV156 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[800]) ).
thf(879,plain,
! [SV103: produc1235635379_b_nat,SV32: labeled_graph_b_nat] :
( ( ( ~ ( ( SV32
= ( produc1542243159_b_nat @ SV103 ) )
| ~ ! [SY359: labeled_graph_b_nat] :
( SV103
!= ( produc951298923_b_nat @ SV32 @ SY359 ) ) ) )
= $true )
| ( ( ~ ( ( SV32
!= ( produc1542243159_b_nat @ SV103 ) )
| ~ ~ ! [SY359: labeled_graph_b_nat] :
( SV103
!= ( produc951298923_b_nat @ SV32 @ SY359 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[801]) ).
thf(880,plain,
! [SV185: labeled_graph_b_nat,SV157: labeled_graph_b_nat,SV104: labeled_graph_b_nat,SV33: labeled_graph_b_nat] :
( ( ( ( produc951298923_b_nat @ SV33 @ SV104 )
= ( produc951298923_b_nat @ SV157 @ SV185 ) )
= ( ~ ( ( SV33 != SV157 )
| ( SV104 != SV185 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[803]) ).
thf(881,plain,
! [SV105: produc1235635379_b_nat,SV34: produc1235635379_b_nat] :
( ( ( ( produc1542243159_b_nat @ SV34 )
= ( produc1542243159_b_nat @ SV105 ) )
= $false )
| ( ( ( ( produc194497945_b_nat @ SV34 )
!= ( produc194497945_b_nat @ SV105 ) )
| ( SV34 = SV105 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[804]) ).
thf(882,plain,
! [SV106: produc1478835367term_b,SV35: allegorical_term_b] :
( ( ( ~ ( ( SV35
= ( produc1223098053term_b @ SV106 ) )
| ~ ! [SY362: allegorical_term_b] :
( SV106
!= ( produc1990145943term_b @ SY362 @ SV35 ) ) ) )
= $true )
| ( ( ~ ( ( SV35
!= ( produc1223098053term_b @ SV106 ) )
| ~ ~ ! [SY362: allegorical_term_b] :
( SV106
!= ( produc1990145943term_b @ SY362 @ SV35 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[805]) ).
thf(883,plain,
! [SV107: labeled_graph_b_nat,SV36: labeled_graph_b_nat] :
( ( ( SV36
= ( restrict_b_nat @ SV36 ) )
= $false )
| ( ( ( SV107
!= ( restrict_b_nat @ SV107 ) )
| ( ( graph_union_b_nat @ SV36 @ SV107 )
= ( restrict_b_nat @ ( graph_union_b_nat @ SV36 @ SV107 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[807]) ).
thf(884,plain,
! [SV158: labeled_graph_b_nat,SV108: labeled_graph_b_nat,SV37: labeled_graph_b_nat > labeled_graph_b_nat > $o] :
( ( ( ~ ( SV37 @ SV108 @ SV158 ) )
= $true )
| ( ( SV37 @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ SV158 @ SV108 ) ) @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ SV158 @ SV108 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[808]) ).
thf(885,plain,
! [SV109: labeled_graph_b_nat,SV38: labeled_graph_b_nat] :
( ( ( graph_529870330at_nat @ SV38 @ SV109 @ ( id_on_nat @ ( labele460410879_b_nat @ SV38 ) ) )
= $false )
| ( ( ord_le910748009at_nat @ ( labeled_edges_b_nat @ ( restrict_b_nat @ SV38 ) ) @ ( labeled_edges_b_nat @ SV109 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[809]) ).
thf(886,plain,
! [SV186: labeled_graph_b_nat,SV159: labeled_graph_b_nat,SV110: labeled_graph_b_nat,SV39: labeled_graph_b_nat] :
( ( ( ( produc951298923_b_nat @ SV39 @ SV110 )
= ( produc951298923_b_nat @ SV159 @ SV186 ) )
= ( ~ ( ( SV39 != SV159 )
| ( SV110 != SV186 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[810]) ).
thf(887,plain,
! [SV160: allegorical_term_b,SV111: allegorical_term_b,SV40: produc1478835367term_b] :
( ( ( SV40
!= ( produc1990145943term_b @ SV111 @ SV160 ) )
= $true )
| ( ( ( produc1223098053term_b @ SV40 )
= SV160 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[811]) ).
thf(888,plain,
! [SV112: produc1478835367term_b,SV41: allegorical_term_b] :
( ( ( ~ ( ( SV41
= ( produc854192515term_b @ SV112 ) )
| ~ ! [SY367: allegorical_term_b] :
( SV112
!= ( produc1990145943term_b @ SV41 @ SY367 ) ) ) )
= $true )
| ( ( ~ ( ( SV41
!= ( produc854192515term_b @ SV112 ) )
| ~ ~ ! [SY367: allegorical_term_b] :
( SV112
!= ( produc1990145943term_b @ SV41 @ SY367 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[812]) ).
thf(889,plain,
! [SV113: produc1235635379_b_nat,SV42: produc1235635379_b_nat > $o] :
( ( ( ! [SY261: labeled_graph_b_nat,SY262: labeled_graph_b_nat] : ( SV42 @ ( produc951298923_b_nat @ SY261 @ SY262 ) ) )
= $false )
| ( ( SV42 @ SV113 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[814]) ).
thf(890,plain,
! [SV187: labeled_graph_b_nat,SV161: set_Pr1986765409at_nat,SV114: labeled_graph_b_nat,SV43: labeled_graph_b_nat] :
( ( ! [SY437: set_Pr1986765409at_nat] :
( ~ ( graph_529870330at_nat @ SV43 @ SV114 @ SV161 )
| ~ ( graph_529870330at_nat @ SV114 @ SV187 @ SY437 )
| ( graph_529870330at_nat @ SV43 @ SV187 @ ( relcomp_nat_nat_nat @ SV161 @ SY437 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[815]) ).
thf(891,plain,
! [SV162: labeled_graph_b_nat,SV115: labeled_graph_b_nat,SV44: labeled_graph_b_nat] :
( ( ( ~ ( graph_529870330at_nat @ SV44 @ SV115 @ ( id_on_nat @ ( labele460410879_b_nat @ SV44 ) ) ) )
= $true )
| ( ( ~ ( graph_529870330at_nat @ SV115 @ SV162 @ ( id_on_nat @ ( labele460410879_b_nat @ SV115 ) ) )
| ( graph_529870330at_nat @ SV44 @ SV162 @ ( id_on_nat @ ( labele460410879_b_nat @ SV44 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[816]) ).
thf(892,plain,
! [SV116: set_nat,SV45: set_nat] :
( ( ( ord_less_eq_set_nat @ SV45 @ SV116 )
= $false )
| ( ( ~ ~ ( finite_finite_nat @ SV45 )
| ~ ( finite_finite_nat @ SV116 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[817]) ).
thf(893,plain,
! [SV117: set_Pr9961929at_nat,SV46: set_Pr9961929at_nat] :
( ( ( ord_le910748009at_nat @ SV46 @ SV117 )
= $false )
| ( ( ~ ~ ( finite1987068434at_nat @ SV46 )
| ~ ( finite1987068434at_nat @ SV117 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[818]) ).
thf(894,plain,
! [SV48: set_nat] :
( ( ( finite_finite_nat @ SV48 )
= $true )
| ( ( SV48 != bot_bot_set_nat )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[820]) ).
thf(895,plain,
! [SV163: labeled_graph_b_nat,SV118: labeled_graph_b_nat,SV49: labeled_graph_b_nat] :
( ( ( ( produc194497945_b_nat @ ( produc951298923_b_nat @ SV49 @ SV118 ) )
!= SV163 )
= $true )
| ( ( SV118 = SV163 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[821]) ).
thf(896,plain,
! [SV119: set_nat,SV50: set_nat] :
( ( ( ord_less_eq_set_nat @ SV50 @ SV119 )
= $false )
| ( ( ~ ( finite_finite_nat @ SV119 )
| ( finite_finite_nat @ SV50 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[822]) ).
thf(897,plain,
! [SV188: allegorical_term_b,SV164: allegorical_term_b,SV120: allegorical_term_b,SV51: allegorical_term_b] :
( ( ( ( produc1990145943term_b @ SV51 @ SV120 )
!= ( produc1990145943term_b @ SV164 @ SV188 ) )
| ~ ( ( SV51 != SV164 )
| ( SV120 != SV188 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[823]) ).
thf(898,plain,
! [SV165: set_Pr1986765409at_nat,SV121: labeled_graph_b_nat,SV52: labeled_graph_b_nat] :
( ( ( ~ ( graph_529870330at_nat @ SV52 @ SV121 @ SV165 ) )
= $true )
| ( ( extensible_b_nat_nat @ ( produc951298923_b_nat @ SV52 @ SV52 ) @ SV121 @ SV165 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[824]) ).
thf(899,plain,
! [SV122: produc1478835367term_b,SV53: allegorical_term_b > allegorical_term_b > $o] :
( ( ( SV53 @ ( produc1223098053term_b @ SV122 ) @ ( produc854192515term_b @ SV122 ) )
= $false )
| ( ( ~ ! [SY280: allegorical_term_b,SY281: allegorical_term_b] :
~ ( SV53 @ SY281 @ SY280 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[825]) ).
thf(900,plain,
! [SV189: set_Pr1986765409at_nat,SV166: labeled_graph_b_nat,SV123: labeled_graph_b_nat,SV54: labeled_graph_b_nat] :
( ( ~ ( graph_529870330at_nat @ SV54 @ SV123 @ ( id_on_nat @ ( labele460410879_b_nat @ SV54 ) ) )
| ~ ( graph_529870330at_nat @ SV166 @ SV54 @ SV189 )
| ( graph_529870330at_nat @ SV166 @ SV123 @ SV189 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[826]) ).
thf(901,plain,
! [SV190: allegorical_term_b,SV167: allegorical_term_b,SV124: allegorical_term_b,SV55: allegorical_term_b] :
( ( ( ( produc1990145943term_b @ SV55 @ SV124 )
= ( produc1990145943term_b @ SV167 @ SV190 ) )
= ( ~ ( ( SV55 != SV167 )
| ( SV124 != SV190 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[827]) ).
thf(902,plain,
! [SV168: allegorical_term_b,SV125: allegorical_term_b,SV56: allegorical_term_b] :
( ( ( ( produc854192515term_b @ ( produc1990145943term_b @ SV56 @ SV125 ) )
!= SV168 )
= $true )
| ( ( SV56 = SV168 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[828]) ).
thf(903,plain,
! [SV126: produc1478835367term_b,SV57: produc1478835367term_b] :
( ( ( ~ ( ( ( produc854192515term_b @ SV57 )
!= ( produc854192515term_b @ SV126 ) )
| ( ( produc1223098053term_b @ SV57 )
!= ( produc1223098053term_b @ SV126 ) ) ) )
= $false )
| ( ( SV57 = SV126 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[829]) ).
thf(904,plain,
! [SV127: labeled_graph_b_nat,SV58: labeled_graph_b_nat] :
( ( ( graph_529870330at_nat @ SV58 @ SV127 @ ( id_on_nat @ ( labele460410879_b_nat @ SV58 ) ) )
= $false )
| ( ( ord_less_eq_set_nat @ ( labele460410879_b_nat @ SV58 ) @ ( labele460410879_b_nat @ SV127 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[830]) ).
thf(905,plain,
! [SV59: produc1235635379_b_nat] :
( ( SV59
!= ( produc951298923_b_nat @ ( sK2_SY292 @ SV59 ) @ ( sK5_SY427 @ SV59 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[831]) ).
thf(906,plain,
! [SV169: labeled_graph_b_nat,SV128: labeled_graph_b_nat,SV60: labeled_graph_b_nat] :
( ( ( ( produc1542243159_b_nat @ ( produc951298923_b_nat @ SV60 @ SV128 ) )
!= SV169 )
= $true )
| ( ( SV60 = SV169 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[832]) ).
thf(907,plain,
! [SV191: produc1235635379_b_nat,SV170: labeled_graph_b_nat,SV129: labeled_graph_b_nat,SV61: labeled_graph_b_nat > labeled_graph_b_nat > $o] :
( ( ~ ( SV61 @ SV129 @ SV170 )
| ( SV191
!= ( produc951298923_b_nat @ SV129 @ SV170 ) )
| ( SV61 @ ( produc1542243159_b_nat @ SV191 ) @ ( produc194497945_b_nat @ SV191 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[833]) ).
thf(908,plain,
! [SV130: produc1235635379_b_nat,SV62: produc1235635379_b_nat] :
( ( ( ~ ( ( ( produc1542243159_b_nat @ SV62 )
!= ( produc1542243159_b_nat @ SV130 ) )
| ( ( produc194497945_b_nat @ SV62 )
!= ( produc194497945_b_nat @ SV130 ) ) ) )
= $false )
| ( ( SV62 = SV130 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[834]) ).
thf(909,plain,
! [SV131: produc1235635379_b_nat,SV63: labeled_graph_b_nat > labeled_graph_b_nat > $o] :
( ( ( SV63 @ ( produc194497945_b_nat @ SV131 ) @ ( produc1542243159_b_nat @ SV131 ) )
= $false )
| ( ( ~ ! [SY301: labeled_graph_b_nat,SY302: labeled_graph_b_nat] :
~ ( SV63 @ SY302 @ SY301 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[835]) ).
thf(910,plain,
! [SV64: set_Pr9961929at_nat] :
( ( ( finite1987068434at_nat @ SV64 )
= $true )
| ( ( SV64 != bot_bo1626616373at_nat )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[836]) ).
thf(911,plain,
! [SV192: allegorical_term_b,SV171: allegorical_term_b,SV132: allegorical_term_b,SV65: allegorical_term_b] :
( ( ( ( allegorical_A_Int_b @ SV65 @ SV132 )
= ( allegorical_A_Int_b @ SV171 @ SV192 ) )
= ( ~ ( ( SV65 != SV171 )
| ( SV132 != SV192 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[837]) ).
thf(912,plain,
! [SV66: b] :
( ( ~ ( ~ ~ ( ~ ( graph_529870330at_nat @ ( produc1542243159_b_nat @ ( standa1329480013rule_b @ SV66 ) ) @ ( produc194497945_b_nat @ ( standa1329480013rule_b @ SV66 ) ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ ( standa1329480013rule_b @ SV66 ) ) ) ) )
| ( ( produc194497945_b_nat @ ( standa1329480013rule_b @ SV66 ) )
!= ( restrict_b_nat @ ( produc194497945_b_nat @ ( standa1329480013rule_b @ SV66 ) ) ) ) )
| ~ ( finite_finite_nat @ ( labele460410879_b_nat @ ( produc194497945_b_nat @ ( standa1329480013rule_b @ SV66 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[838]) ).
thf(913,plain,
! [SV66: b] :
( ( finite1987068434at_nat @ ( labeled_edges_b_nat @ ( produc194497945_b_nat @ ( standa1329480013rule_b @ SV66 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[839]) ).
thf(914,plain,
! [SV67: b] :
( ( ~ ( ~ ~ ( ~ ( graph_529870330at_nat @ ( produc1542243159_b_nat @ ( standa1360217389rule_b @ SV67 ) ) @ ( produc194497945_b_nat @ ( standa1360217389rule_b @ SV67 ) ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ ( standa1360217389rule_b @ SV67 ) ) ) ) )
| ( ( produc194497945_b_nat @ ( standa1360217389rule_b @ SV67 ) )
!= ( restrict_b_nat @ ( produc194497945_b_nat @ ( standa1360217389rule_b @ SV67 ) ) ) ) )
| ~ ( finite_finite_nat @ ( labele460410879_b_nat @ ( produc194497945_b_nat @ ( standa1360217389rule_b @ SV67 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[840]) ).
thf(915,plain,
! [SV67: b] :
( ( finite1987068434at_nat @ ( labeled_edges_b_nat @ ( produc194497945_b_nat @ ( standa1360217389rule_b @ SV67 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[841]) ).
thf(916,plain,
! [SV133: produc1478835367term_b,SV68: produc1478835367term_b] :
( ( ( ( produc854192515term_b @ SV68 )
= ( produc854192515term_b @ SV133 ) )
= $false )
| ( ( ( ( produc1223098053term_b @ SV68 )
!= ( produc1223098053term_b @ SV133 ) )
| ( SV68 = SV133 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[842]) ).
thf(917,plain,
! [SV134: produc1235635379_b_nat,SV69: labeled_graph_b_nat] :
( ( ( ~ ( ( SV69
= ( produc194497945_b_nat @ SV134 ) )
| ~ ! [SY392: labeled_graph_b_nat] :
( SV134
!= ( produc951298923_b_nat @ SY392 @ SV69 ) ) ) )
= $true )
| ( ( ~ ( ( SV69
!= ( produc194497945_b_nat @ SV134 ) )
| ~ ~ ! [SY392: labeled_graph_b_nat] :
( SV134
!= ( produc951298923_b_nat @ SY392 @ SV69 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[843]) ).
thf(918,plain,
! [SV135: produc1478835367term_b,SV70: produc1478835367term_b > $o] :
( ( ( ! [SY310: allegorical_term_b,SY311: allegorical_term_b] : ( SV70 @ ( produc1990145943term_b @ SY310 @ SY311 ) ) )
= $false )
| ( ( SV70 @ SV135 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[845]) ).
thf(919,plain,
! [SV172: allegorical_term_b,SV136: allegorical_term_b,SV71: allegorical_term_b > allegorical_term_b > $o] :
( ( ( ~ ( SV71 @ SV136 @ SV172 ) )
= $true )
| ( ( SV71 @ ( produc1223098053term_b @ ( produc1990145943term_b @ SV172 @ SV136 ) ) @ ( produc854192515term_b @ ( produc1990145943term_b @ SV172 @ SV136 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[846]) ).
thf(920,plain,
! [SV193: produc1235635379_b_nat,SV137: produc1235635379_b_nat] :
( ( ( SV137 = SV193 )
= ( ~ ( ( ( produc1542243159_b_nat @ SV137 )
!= ( produc1542243159_b_nat @ SV193 ) )
| ( ( produc194497945_b_nat @ SV137 )
!= ( produc194497945_b_nat @ SV193 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[847]) ).
thf(921,plain,
! [SV194: labeled_graph_b_nat,SV174: labeled_graph_b_nat > $o,SV138: labeled_graph_b_nat,SV73: labeled_graph_b_nat > $o] :
( ( ~ ( SV73 @ SV138 )
| ~ ( SV174 @ SV194 )
| ~ ( ~ ( SV73 @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ SV138 @ SV194 ) ) )
| ~ ( SV174 @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ SV138 @ SV194 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[849]) ).
thf(922,plain,
! [SV195: allegorical_term_b,SV175: allegorical_term_b,SV139: allegorical_term_b,SV74: allegorical_term_b] :
( ( ( ( produc1990145943term_b @ SV74 @ SV139 )
= ( produc1990145943term_b @ SV175 @ SV195 ) )
= ( ~ ( ( SV74 != SV175 )
| ( SV139 != SV195 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[850]) ).
thf(923,plain,
! [SV140: labeled_graph_b_nat,SV75: labeled_graph_b_nat] :
( ( ( ~ ( ( ( labeled_edges_b_nat @ SV75 )
!= ( labeled_edges_b_nat @ SV140 ) )
| ( ( labele460410879_b_nat @ SV75 )
!= ( labele460410879_b_nat @ SV140 ) ) ) )
= $false )
| ( ( SV75 = SV140 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[851]) ).
thf(924,plain,
! [SV76: produc1478835367term_b] :
( ( SV76
!= ( produc1990145943term_b @ ( sK3_SY323 @ SV76 ) @ ( sK6_SY432 @ SV76 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[852]) ).
thf(925,plain,
! [SV176: allegorical_term_b,SV141: allegorical_term_b,SV77: produc1478835367term_b] :
( ( ( SV77
!= ( produc1990145943term_b @ SV141 @ SV176 ) )
= $true )
| ( ( ( produc854192515term_b @ SV77 )
= SV141 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[853]) ).
thf(926,plain,
! [SV196: allegorical_term_b,SV177: allegorical_term_b > $o,SV142: allegorical_term_b,SV78: allegorical_term_b > $o] :
( ( ~ ( SV78 @ SV142 )
| ~ ( SV177 @ SV196 )
| ~ ( ~ ( SV78 @ ( produc854192515term_b @ ( produc1990145943term_b @ SV142 @ SV196 ) ) )
| ~ ( SV177 @ ( produc1223098053term_b @ ( produc1990145943term_b @ SV142 @ SV196 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[854]) ).
thf(927,plain,
! [SV197: produc1478835367term_b,SV143: produc1478835367term_b] :
( ( ( SV143 = SV197 )
= ( ~ ( ( ( produc854192515term_b @ SV143 )
!= ( produc854192515term_b @ SV197 ) )
| ( ( produc1223098053term_b @ SV143 )
!= ( produc1223098053term_b @ SV197 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[855]) ).
thf(928,plain,
! [SV179: labeled_graph_b_nat,SV144: labeled_graph_b_nat,SV80: produc1235635379_b_nat] :
( ( ( SV80
!= ( produc951298923_b_nat @ SV144 @ SV179 ) )
= $true )
| ( ( ( produc1542243159_b_nat @ SV80 )
= SV144 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[857]) ).
thf(929,plain,
! [SV145: set_Pr9961929at_nat,SV81: set_Pr9961929at_nat] :
( ( ( finite1987068434at_nat @ SV81 )
= $false )
| ( ( ~ ( ord_le910748009at_nat @ SV145 @ SV81 )
| ( finite1987068434at_nat @ SV145 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[858]) ).
thf(930,plain,
! [SV146: produc1478835367term_b,SV82: produc1478835367term_b > $o] :
( ( ( ! [SY336: allegorical_term_b,SY337: allegorical_term_b] : ( SV82 @ ( produc1990145943term_b @ SY336 @ SY337 ) ) )
= $false )
| ( ( SV82 @ SV146 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[859]) ).
thf(931,plain,
! [SV147: labeled_graph_b_nat,SV83: labeled_graph_b_nat] :
( ( ( ~ ( ( graph_529870330at_nat @ SV83 @ SV147 @ ( id_on_nat @ ( labele460410879_b_nat @ SV83 ) ) )
| ~ ( ~ ~ ( ( SV83
!= ( restrict_b_nat @ SV83 ) )
| ( SV147
!= ( restrict_b_nat @ SV147 ) ) )
| ( ( graph_union_b_nat @ SV83 @ SV147 )
!= SV147 ) ) ) )
= $true )
| ( ( ~ ( ~ ( graph_529870330at_nat @ SV83 @ SV147 @ ( id_on_nat @ ( labele460410879_b_nat @ SV83 ) ) )
| ~ ~ ( ~ ~ ( ( SV83
!= ( restrict_b_nat @ SV83 ) )
| ( SV147
!= ( restrict_b_nat @ SV147 ) ) )
| ( ( graph_union_b_nat @ SV83 @ SV147 )
!= SV147 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[860]) ).
thf(932,plain,
! [SV148: set_nat,SV84: set_nat] :
( ( ( finite_finite_nat @ SV84 )
= $false )
| ( ( ~ ( ord_less_eq_set_nat @ SV148 @ SV84 )
| ( finite_finite_nat @ SV148 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[862]) ).
thf(933,plain,
! [SV85: produc1478835367term_b] :
( ( ~ ! [SY434: allegorical_term_b] :
( SV85
!= ( produc1990145943term_b @ ( sK4_SY340 @ SV85 ) @ SY434 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[863]) ).
thf(934,plain,
! [SV198: labeled_graph_b_nat,SV180: labeled_graph_b_nat,SV149: labeled_graph_b_nat,SV86: labeled_graph_b_nat] :
( ( ( ( produc951298923_b_nat @ SV86 @ SV149 )
!= ( produc951298923_b_nat @ SV180 @ SV198 ) )
| ~ ( ( SV86 != SV180 )
| ( SV149 != SV198 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[864]) ).
thf(935,plain,
! [SV150: allegorical_term_b,SV87: allegorical_term_b] :
( ( ~ ~ ( ~ ~ ( ~ ( graph_529870330at_nat @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV87 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV87 @ SV150 ) ) ) ) @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV87 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV87 @ SV150 ) ) ) ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV87 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV87 @ SV150 ) ) ) ) ) ) )
| ( ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV87 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV87 @ SV150 ) ) ) )
!= ( restrict_b_nat @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV87 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV87 @ SV150 ) ) ) ) ) ) )
| ~ ( finite_finite_nat @ ( labele460410879_b_nat @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV87 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV87 @ SV150 ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[865]) ).
thf(936,plain,
! [SV150: allegorical_term_b,SV87: allegorical_term_b] :
( ( ~ ( finite1987068434at_nat @ ( labeled_edges_b_nat @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV87 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV87 @ SV150 ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[865]) ).
thf(937,plain,
! [SV199: allegorical_term_b,SV181: set_Pr1163220871term_b,SV151: allegorical_term_b,SV88: allegorical_term_b] :
( ( ~ ( member516522448term_b @ ( produc1990145943term_b @ SV88 @ SV151 ) @ SV181 )
| ( SV199 != SV151 )
| ( member516522448term_b @ ( produc1990145943term_b @ SV88 @ SV199 ) @ SV181 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[866]) ).
thf(938,plain,
! [SV182: labeled_graph_b_nat,SV152: labeled_graph_b_nat,SV89: produc1235635379_b_nat] :
( ( ( SV89
!= ( produc951298923_b_nat @ SV152 @ SV182 ) )
= $true )
| ( ( ( produc194497945_b_nat @ SV89 )
= SV182 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[867]) ).
thf(939,plain,
! [SV153: produc1235635379_b_nat,SV90: produc1235635379_b_nat > $o] :
( ( ( ! [SY352: labeled_graph_b_nat,SY353: labeled_graph_b_nat] : ( SV90 @ ( produc951298923_b_nat @ SY352 @ SY353 ) ) )
= $false )
| ( ( SV90 @ SV153 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[868]) ).
thf(940,plain,
( ( ~ ~ ( ~ ( graph_529870330at_nat @ ( produc1542243159_b_nat @ standa879863266rule_b ) @ ( produc194497945_b_nat @ standa879863266rule_b ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ standa879863266rule_b ) ) ) )
| ( ( produc194497945_b_nat @ standa879863266rule_b )
!= ( restrict_b_nat @ ( produc194497945_b_nat @ standa879863266rule_b ) ) ) )
| ~ ( finite_finite_nat @ ( labele460410879_b_nat @ ( produc194497945_b_nat @ standa879863266rule_b ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[869]) ).
thf(941,plain,
! [SV1: labeled_graph_b_nat] :
( ( ( graph_529870330at_nat @ SV1 @ SV1 @ ( id_on_nat @ ( labele460410879_b_nat @ SV1 ) ) )
= $false )
| ( ( ~ ( ~ ( graph_529870330at_nat @ SV1 @ SV1 @ ( id_on_nat @ ( labele460410879_b_nat @ SV1 ) ) )
| ( SV1
!= ( restrict_b_nat @ SV1 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[871]) ).
thf(942,plain,
! [SV1: labeled_graph_b_nat] :
( ( ( SV1
= ( restrict_b_nat @ SV1 ) )
= $false )
| ( ( ~ ( ~ ( graph_529870330at_nat @ SV1 @ SV1 @ ( id_on_nat @ ( labele460410879_b_nat @ SV1 ) ) )
| ( SV1
!= ( restrict_b_nat @ SV1 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[871]) ).
thf(943,plain,
! [SV2: labeled_graph_b_nat] :
( ( ( graph_529870330at_nat @ SV2 @ ( restrict_b_nat @ SV2 ) @ ( id_on_nat @ ( labele460410879_b_nat @ SV2 ) ) )
= $false )
| ( ( ~ ( ~ ( graph_529870330at_nat @ SV2 @ ( restrict_b_nat @ SV2 ) @ ( id_on_nat @ ( labele460410879_b_nat @ SV2 ) ) )
| ( SV2
!= ( restrict_b_nat @ SV2 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[872]) ).
thf(944,plain,
! [SV2: labeled_graph_b_nat] :
( ( ( SV2
= ( restrict_b_nat @ SV2 ) )
= $false )
| ( ( ~ ( ~ ( graph_529870330at_nat @ SV2 @ ( restrict_b_nat @ SV2 ) @ ( id_on_nat @ ( labele460410879_b_nat @ SV2 ) ) )
| ( SV2
!= ( restrict_b_nat @ SV2 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[872]) ).
thf(945,plain,
! [SV26: produc1235635379_b_nat] :
( ( ! [SY417: labeled_graph_b_nat] :
( SV26
!= ( produc951298923_b_nat @ ( sK1_SY229 @ SV26 ) @ SY417 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[873]) ).
thf(946,plain,
! [SV183: produc1478835367term_b,SV154: allegorical_term_b,SV98: allegorical_term_b,SV27: allegorical_term_b > allegorical_term_b > $o] :
( ( ( ~ ( SV27 @ SV98 @ SV154 ) )
= $true )
| ( ( ( SV183
!= ( produc1990145943term_b @ SV98 @ SV154 ) )
| ( SV27 @ ( produc854192515term_b @ SV183 ) @ ( produc1223098053term_b @ SV183 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[874]) ).
thf(947,plain,
! [SV155: allegorical_term_b,SV100: allegorical_term_b,SV29: allegorical_term_b] :
( ( ( ( produc1223098053term_b @ ( produc1990145943term_b @ SV29 @ SV100 ) )
= SV155 )
= $false )
| ( ( SV100 = SV155 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[876]) ).
thf(948,plain,
! [SV30: set_Pr9961929at_nat,SV101: set_Pr9961929at_nat] :
( ( ( ~ ( finite1987068434at_nat @ SV101 ) )
= $true )
| ( ( finite1987068434at_nat @ SV30 )
= $true )
| ( ( ord_le910748009at_nat @ SV30 @ SV101 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[877]) ).
thf(949,plain,
! [SV184: labeled_graph_b_nat,SV156: set_Pr551076371_b_nat,SV102: labeled_graph_b_nat,SV31: labeled_graph_b_nat] :
( ( ( ~ ( member963855452_b_nat @ ( produc951298923_b_nat @ SV31 @ SV102 ) @ SV156 ) )
= $true )
| ( ( ( SV184 != SV102 )
| ( member963855452_b_nat @ ( produc951298923_b_nat @ SV31 @ SV184 ) @ SV156 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[878]) ).
thf(950,plain,
! [SV103: produc1235635379_b_nat,SV32: labeled_graph_b_nat] :
( ( ( ( SV32
= ( produc1542243159_b_nat @ SV103 ) )
| ~ ! [SY359: labeled_graph_b_nat] :
( SV103
!= ( produc951298923_b_nat @ SV32 @ SY359 ) ) )
= $false )
| ( ( ~ ( ( SV32
!= ( produc1542243159_b_nat @ SV103 ) )
| ~ ~ ! [SY359: labeled_graph_b_nat] :
( SV103
!= ( produc951298923_b_nat @ SV32 @ SY359 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[879]) ).
thf(951,plain,
! [SV185: labeled_graph_b_nat,SV157: labeled_graph_b_nat,SV104: labeled_graph_b_nat,SV33: labeled_graph_b_nat] :
( ( ~ ( ( ( produc951298923_b_nat @ SV33 @ SV104 )
= ( produc951298923_b_nat @ SV157 @ SV185 ) )
| ~ ( ( SV33 != SV157 )
| ( SV104 != SV185 ) ) )
| ~ ( ( ( produc951298923_b_nat @ SV33 @ SV104 )
!= ( produc951298923_b_nat @ SV157 @ SV185 ) )
| ~ ~ ( ( SV33 != SV157 )
| ( SV104 != SV185 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[880]) ).
thf(952,plain,
! [SV185: labeled_graph_b_nat,SV157: labeled_graph_b_nat,SV104: labeled_graph_b_nat,SV33: labeled_graph_b_nat] :
( ( ( ( produc951298923_b_nat @ SV33 @ SV104 )
= ( produc951298923_b_nat @ SV157 @ SV185 ) )
= ( ~ ( ( SV33 != SV157 )
| ( SV104 != SV185 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[880]) ).
thf(953,plain,
! [SV105: produc1235635379_b_nat,SV34: produc1235635379_b_nat] :
( ( ( ( produc194497945_b_nat @ SV34 )
!= ( produc194497945_b_nat @ SV105 ) )
= $true )
| ( ( SV34 = SV105 )
= $true )
| ( ( ( produc1542243159_b_nat @ SV34 )
= ( produc1542243159_b_nat @ SV105 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[881]) ).
thf(954,plain,
! [SV106: produc1478835367term_b,SV35: allegorical_term_b] :
( ( ( ( SV35
= ( produc1223098053term_b @ SV106 ) )
| ~ ! [SY362: allegorical_term_b] :
( SV106
!= ( produc1990145943term_b @ SY362 @ SV35 ) ) )
= $false )
| ( ( ~ ( ( SV35
!= ( produc1223098053term_b @ SV106 ) )
| ~ ~ ! [SY362: allegorical_term_b] :
( SV106
!= ( produc1990145943term_b @ SY362 @ SV35 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[882]) ).
thf(955,plain,
! [SV36: labeled_graph_b_nat,SV107: labeled_graph_b_nat] :
( ( ( SV107
!= ( restrict_b_nat @ SV107 ) )
= $true )
| ( ( ( graph_union_b_nat @ SV36 @ SV107 )
= ( restrict_b_nat @ ( graph_union_b_nat @ SV36 @ SV107 ) ) )
= $true )
| ( ( SV36
= ( restrict_b_nat @ SV36 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[883]) ).
thf(956,plain,
! [SV158: labeled_graph_b_nat,SV108: labeled_graph_b_nat,SV37: labeled_graph_b_nat > labeled_graph_b_nat > $o] :
( ( ( SV37 @ SV108 @ SV158 )
= $false )
| ( ( SV37 @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ SV158 @ SV108 ) ) @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ SV158 @ SV108 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[884]) ).
thf(957,plain,
! [SV186: labeled_graph_b_nat,SV159: labeled_graph_b_nat,SV110: labeled_graph_b_nat,SV39: labeled_graph_b_nat] :
( ( ~ ( ( ( produc951298923_b_nat @ SV39 @ SV110 )
= ( produc951298923_b_nat @ SV159 @ SV186 ) )
| ~ ( ( SV39 != SV159 )
| ( SV110 != SV186 ) ) )
| ~ ( ( ( produc951298923_b_nat @ SV39 @ SV110 )
!= ( produc951298923_b_nat @ SV159 @ SV186 ) )
| ~ ~ ( ( SV39 != SV159 )
| ( SV110 != SV186 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[886]) ).
thf(958,plain,
! [SV186: labeled_graph_b_nat,SV159: labeled_graph_b_nat,SV110: labeled_graph_b_nat,SV39: labeled_graph_b_nat] :
( ( ( ( produc951298923_b_nat @ SV39 @ SV110 )
= ( produc951298923_b_nat @ SV159 @ SV186 ) )
= ( ~ ( ( SV39 != SV159 )
| ( SV110 != SV186 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[886]) ).
thf(959,plain,
! [SV160: allegorical_term_b,SV111: allegorical_term_b,SV40: produc1478835367term_b] :
( ( ( SV40
= ( produc1990145943term_b @ SV111 @ SV160 ) )
= $false )
| ( ( ( produc1223098053term_b @ SV40 )
= SV160 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[887]) ).
thf(960,plain,
! [SV112: produc1478835367term_b,SV41: allegorical_term_b] :
( ( ( ( SV41
= ( produc854192515term_b @ SV112 ) )
| ~ ! [SY367: allegorical_term_b] :
( SV112
!= ( produc1990145943term_b @ SV41 @ SY367 ) ) )
= $false )
| ( ( ~ ( ( SV41
!= ( produc854192515term_b @ SV112 ) )
| ~ ~ ! [SY367: allegorical_term_b] :
( SV112
!= ( produc1990145943term_b @ SV41 @ SY367 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[888]) ).
thf(961,plain,
! [SV113: produc1235635379_b_nat,SV42: produc1235635379_b_nat > $o] :
( ( ( ! [SY438: labeled_graph_b_nat] : ( SV42 @ ( produc951298923_b_nat @ ( sK7_SY261 @ SV113 @ SV42 ) @ SY438 ) ) )
= $false )
| ( ( SV42 @ SV113 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[889]) ).
thf(962,plain,
! [SV200: set_Pr1986765409at_nat,SV187: labeled_graph_b_nat,SV161: set_Pr1986765409at_nat,SV114: labeled_graph_b_nat,SV43: labeled_graph_b_nat] :
( ( ~ ( graph_529870330at_nat @ SV43 @ SV114 @ SV161 )
| ~ ( graph_529870330at_nat @ SV114 @ SV187 @ SV200 )
| ( graph_529870330at_nat @ SV43 @ SV187 @ ( relcomp_nat_nat_nat @ SV161 @ SV200 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[890]) ).
thf(963,plain,
! [SV162: labeled_graph_b_nat,SV115: labeled_graph_b_nat,SV44: labeled_graph_b_nat] :
( ( ( graph_529870330at_nat @ SV44 @ SV115 @ ( id_on_nat @ ( labele460410879_b_nat @ SV44 ) ) )
= $false )
| ( ( ~ ( graph_529870330at_nat @ SV115 @ SV162 @ ( id_on_nat @ ( labele460410879_b_nat @ SV115 ) ) )
| ( graph_529870330at_nat @ SV44 @ SV162 @ ( id_on_nat @ ( labele460410879_b_nat @ SV44 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[891]) ).
thf(964,plain,
! [SV116: set_nat,SV45: set_nat] :
( ( ( ~ ~ ( finite_finite_nat @ SV45 ) )
= $true )
| ( ( ~ ( finite_finite_nat @ SV116 ) )
= $true )
| ( ( ord_less_eq_set_nat @ SV45 @ SV116 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[892]) ).
thf(965,plain,
! [SV117: set_Pr9961929at_nat,SV46: set_Pr9961929at_nat] :
( ( ( ~ ~ ( finite1987068434at_nat @ SV46 ) )
= $true )
| ( ( ~ ( finite1987068434at_nat @ SV117 ) )
= $true )
| ( ( ord_le910748009at_nat @ SV46 @ SV117 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[893]) ).
thf(966,plain,
! [SV48: set_nat] :
( ( ( SV48 = bot_bot_set_nat )
= $false )
| ( ( finite_finite_nat @ SV48 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[894]) ).
thf(967,plain,
! [SV163: labeled_graph_b_nat,SV118: labeled_graph_b_nat,SV49: labeled_graph_b_nat] :
( ( ( ( produc194497945_b_nat @ ( produc951298923_b_nat @ SV49 @ SV118 ) )
= SV163 )
= $false )
| ( ( SV118 = SV163 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[895]) ).
thf(968,plain,
! [SV50: set_nat,SV119: set_nat] :
( ( ( ~ ( finite_finite_nat @ SV119 ) )
= $true )
| ( ( finite_finite_nat @ SV50 )
= $true )
| ( ( ord_less_eq_set_nat @ SV50 @ SV119 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[896]) ).
thf(969,plain,
! [SV188: allegorical_term_b,SV164: allegorical_term_b,SV120: allegorical_term_b,SV51: allegorical_term_b] :
( ( ( ( produc1990145943term_b @ SV51 @ SV120 )
!= ( produc1990145943term_b @ SV164 @ SV188 ) )
= $true )
| ( ( ~ ( ( SV51 != SV164 )
| ( SV120 != SV188 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[897]) ).
thf(970,plain,
! [SV165: set_Pr1986765409at_nat,SV121: labeled_graph_b_nat,SV52: labeled_graph_b_nat] :
( ( ( graph_529870330at_nat @ SV52 @ SV121 @ SV165 )
= $false )
| ( ( extensible_b_nat_nat @ ( produc951298923_b_nat @ SV52 @ SV52 ) @ SV121 @ SV165 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[898]) ).
thf(971,plain,
! [SV122: produc1478835367term_b,SV53: allegorical_term_b > allegorical_term_b > $o] :
( ( ( ! [SY280: allegorical_term_b,SY281: allegorical_term_b] :
~ ( SV53 @ SY281 @ SY280 ) )
= $false )
| ( ( SV53 @ ( produc1223098053term_b @ SV122 ) @ ( produc854192515term_b @ SV122 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[899]) ).
thf(972,plain,
! [SV189: set_Pr1986765409at_nat,SV166: labeled_graph_b_nat,SV123: labeled_graph_b_nat,SV54: labeled_graph_b_nat] :
( ( ( ~ ( graph_529870330at_nat @ SV54 @ SV123 @ ( id_on_nat @ ( labele460410879_b_nat @ SV54 ) ) ) )
= $true )
| ( ( ~ ( graph_529870330at_nat @ SV166 @ SV54 @ SV189 )
| ( graph_529870330at_nat @ SV166 @ SV123 @ SV189 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[900]) ).
thf(973,plain,
! [SV190: allegorical_term_b,SV167: allegorical_term_b,SV124: allegorical_term_b,SV55: allegorical_term_b] :
( ( ~ ( ( ( produc1990145943term_b @ SV55 @ SV124 )
= ( produc1990145943term_b @ SV167 @ SV190 ) )
| ~ ( ( SV55 != SV167 )
| ( SV124 != SV190 ) ) )
| ~ ( ( ( produc1990145943term_b @ SV55 @ SV124 )
!= ( produc1990145943term_b @ SV167 @ SV190 ) )
| ~ ~ ( ( SV55 != SV167 )
| ( SV124 != SV190 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[901]) ).
thf(974,plain,
! [SV190: allegorical_term_b,SV167: allegorical_term_b,SV124: allegorical_term_b,SV55: allegorical_term_b] :
( ( ( ( produc1990145943term_b @ SV55 @ SV124 )
= ( produc1990145943term_b @ SV167 @ SV190 ) )
= ( ~ ( ( SV55 != SV167 )
| ( SV124 != SV190 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[901]) ).
thf(975,plain,
! [SV168: allegorical_term_b,SV125: allegorical_term_b,SV56: allegorical_term_b] :
( ( ( ( produc854192515term_b @ ( produc1990145943term_b @ SV56 @ SV125 ) )
= SV168 )
= $false )
| ( ( SV56 = SV168 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[902]) ).
thf(976,plain,
! [SV126: produc1478835367term_b,SV57: produc1478835367term_b] :
( ( ( ( ( produc854192515term_b @ SV57 )
!= ( produc854192515term_b @ SV126 ) )
| ( ( produc1223098053term_b @ SV57 )
!= ( produc1223098053term_b @ SV126 ) ) )
= $true )
| ( ( SV57 = SV126 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[903]) ).
thf(977,plain,
! [SV59: produc1235635379_b_nat] :
( ( SV59
= ( produc951298923_b_nat @ ( sK2_SY292 @ SV59 ) @ ( sK5_SY427 @ SV59 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[905]) ).
thf(978,plain,
! [SV169: labeled_graph_b_nat,SV128: labeled_graph_b_nat,SV60: labeled_graph_b_nat] :
( ( ( ( produc1542243159_b_nat @ ( produc951298923_b_nat @ SV60 @ SV128 ) )
= SV169 )
= $false )
| ( ( SV60 = SV169 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[906]) ).
thf(979,plain,
! [SV191: produc1235635379_b_nat,SV170: labeled_graph_b_nat,SV129: labeled_graph_b_nat,SV61: labeled_graph_b_nat > labeled_graph_b_nat > $o] :
( ( ( ~ ( SV61 @ SV129 @ SV170 ) )
= $true )
| ( ( ( SV191
!= ( produc951298923_b_nat @ SV129 @ SV170 ) )
| ( SV61 @ ( produc1542243159_b_nat @ SV191 ) @ ( produc194497945_b_nat @ SV191 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[907]) ).
thf(980,plain,
! [SV130: produc1235635379_b_nat,SV62: produc1235635379_b_nat] :
( ( ( ( ( produc1542243159_b_nat @ SV62 )
!= ( produc1542243159_b_nat @ SV130 ) )
| ( ( produc194497945_b_nat @ SV62 )
!= ( produc194497945_b_nat @ SV130 ) ) )
= $true )
| ( ( SV62 = SV130 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[908]) ).
thf(981,plain,
! [SV131: produc1235635379_b_nat,SV63: labeled_graph_b_nat > labeled_graph_b_nat > $o] :
( ( ( ! [SY301: labeled_graph_b_nat,SY302: labeled_graph_b_nat] :
~ ( SV63 @ SY302 @ SY301 ) )
= $false )
| ( ( SV63 @ ( produc194497945_b_nat @ SV131 ) @ ( produc1542243159_b_nat @ SV131 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[909]) ).
thf(982,plain,
! [SV64: set_Pr9961929at_nat] :
( ( ( SV64 = bot_bo1626616373at_nat )
= $false )
| ( ( finite1987068434at_nat @ SV64 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[910]) ).
thf(983,plain,
! [SV192: allegorical_term_b,SV171: allegorical_term_b,SV132: allegorical_term_b,SV65: allegorical_term_b] :
( ( ~ ( ( ( allegorical_A_Int_b @ SV65 @ SV132 )
= ( allegorical_A_Int_b @ SV171 @ SV192 ) )
| ~ ( ( SV65 != SV171 )
| ( SV132 != SV192 ) ) )
| ~ ( ( ( allegorical_A_Int_b @ SV65 @ SV132 )
!= ( allegorical_A_Int_b @ SV171 @ SV192 ) )
| ~ ~ ( ( SV65 != SV171 )
| ( SV132 != SV192 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[911]) ).
thf(984,plain,
! [SV192: allegorical_term_b,SV171: allegorical_term_b,SV132: allegorical_term_b,SV65: allegorical_term_b] :
( ( ( ( allegorical_A_Int_b @ SV65 @ SV132 )
= ( allegorical_A_Int_b @ SV171 @ SV192 ) )
= ( ~ ( ( SV65 != SV171 )
| ( SV132 != SV192 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[911]) ).
thf(985,plain,
! [SV66: b] :
( ( ~ ~ ( ~ ( graph_529870330at_nat @ ( produc1542243159_b_nat @ ( standa1329480013rule_b @ SV66 ) ) @ ( produc194497945_b_nat @ ( standa1329480013rule_b @ SV66 ) ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ ( standa1329480013rule_b @ SV66 ) ) ) ) )
| ( ( produc194497945_b_nat @ ( standa1329480013rule_b @ SV66 ) )
!= ( restrict_b_nat @ ( produc194497945_b_nat @ ( standa1329480013rule_b @ SV66 ) ) ) ) )
| ~ ( finite_finite_nat @ ( labele460410879_b_nat @ ( produc194497945_b_nat @ ( standa1329480013rule_b @ SV66 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[912]) ).
thf(986,plain,
! [SV67: b] :
( ( ~ ~ ( ~ ( graph_529870330at_nat @ ( produc1542243159_b_nat @ ( standa1360217389rule_b @ SV67 ) ) @ ( produc194497945_b_nat @ ( standa1360217389rule_b @ SV67 ) ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ ( standa1360217389rule_b @ SV67 ) ) ) ) )
| ( ( produc194497945_b_nat @ ( standa1360217389rule_b @ SV67 ) )
!= ( restrict_b_nat @ ( produc194497945_b_nat @ ( standa1360217389rule_b @ SV67 ) ) ) ) )
| ~ ( finite_finite_nat @ ( labele460410879_b_nat @ ( produc194497945_b_nat @ ( standa1360217389rule_b @ SV67 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[914]) ).
thf(987,plain,
! [SV133: produc1478835367term_b,SV68: produc1478835367term_b] :
( ( ( ( produc1223098053term_b @ SV68 )
!= ( produc1223098053term_b @ SV133 ) )
= $true )
| ( ( SV68 = SV133 )
= $true )
| ( ( ( produc854192515term_b @ SV68 )
= ( produc854192515term_b @ SV133 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[916]) ).
thf(988,plain,
! [SV134: produc1235635379_b_nat,SV69: labeled_graph_b_nat] :
( ( ( ( SV69
= ( produc194497945_b_nat @ SV134 ) )
| ~ ! [SY392: labeled_graph_b_nat] :
( SV134
!= ( produc951298923_b_nat @ SY392 @ SV69 ) ) )
= $false )
| ( ( ~ ( ( SV69
!= ( produc194497945_b_nat @ SV134 ) )
| ~ ~ ! [SY392: labeled_graph_b_nat] :
( SV134
!= ( produc951298923_b_nat @ SY392 @ SV69 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[917]) ).
thf(989,plain,
! [SV135: produc1478835367term_b,SV70: produc1478835367term_b > $o] :
( ( ( ! [SY439: allegorical_term_b] : ( SV70 @ ( produc1990145943term_b @ ( sK8_SY310 @ SV135 @ SV70 ) @ SY439 ) ) )
= $false )
| ( ( SV70 @ SV135 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[918]) ).
thf(990,plain,
! [SV172: allegorical_term_b,SV136: allegorical_term_b,SV71: allegorical_term_b > allegorical_term_b > $o] :
( ( ( SV71 @ SV136 @ SV172 )
= $false )
| ( ( SV71 @ ( produc1223098053term_b @ ( produc1990145943term_b @ SV172 @ SV136 ) ) @ ( produc854192515term_b @ ( produc1990145943term_b @ SV172 @ SV136 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[919]) ).
thf(991,plain,
! [SV193: produc1235635379_b_nat,SV137: produc1235635379_b_nat] :
( ( ~ ( ( SV137 = SV193 )
| ~ ( ( ( produc1542243159_b_nat @ SV137 )
!= ( produc1542243159_b_nat @ SV193 ) )
| ( ( produc194497945_b_nat @ SV137 )
!= ( produc194497945_b_nat @ SV193 ) ) ) )
| ~ ( ( SV137 != SV193 )
| ~ ~ ( ( ( produc1542243159_b_nat @ SV137 )
!= ( produc1542243159_b_nat @ SV193 ) )
| ( ( produc194497945_b_nat @ SV137 )
!= ( produc194497945_b_nat @ SV193 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[920]) ).
thf(992,plain,
! [SV193: produc1235635379_b_nat,SV137: produc1235635379_b_nat] :
( ( ( SV137 = SV193 )
= ( ~ ( ( ( produc1542243159_b_nat @ SV137 )
!= ( produc1542243159_b_nat @ SV193 ) )
| ( ( produc194497945_b_nat @ SV137 )
!= ( produc194497945_b_nat @ SV193 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[920]) ).
thf(993,plain,
! [SV194: labeled_graph_b_nat,SV174: labeled_graph_b_nat > $o,SV138: labeled_graph_b_nat,SV73: labeled_graph_b_nat > $o] :
( ( ( ~ ( SV73 @ SV138 ) )
= $true )
| ( ( ~ ( SV174 @ SV194 )
| ~ ( ~ ( SV73 @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ SV138 @ SV194 ) ) )
| ~ ( SV174 @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ SV138 @ SV194 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[921]) ).
thf(994,plain,
! [SV195: allegorical_term_b,SV175: allegorical_term_b,SV139: allegorical_term_b,SV74: allegorical_term_b] :
( ( ~ ( ( ( produc1990145943term_b @ SV74 @ SV139 )
= ( produc1990145943term_b @ SV175 @ SV195 ) )
| ~ ( ( SV74 != SV175 )
| ( SV139 != SV195 ) ) )
| ~ ( ( ( produc1990145943term_b @ SV74 @ SV139 )
!= ( produc1990145943term_b @ SV175 @ SV195 ) )
| ~ ~ ( ( SV74 != SV175 )
| ( SV139 != SV195 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[922]) ).
thf(995,plain,
! [SV195: allegorical_term_b,SV175: allegorical_term_b,SV139: allegorical_term_b,SV74: allegorical_term_b] :
( ( ( ( produc1990145943term_b @ SV74 @ SV139 )
= ( produc1990145943term_b @ SV175 @ SV195 ) )
= ( ~ ( ( SV74 != SV175 )
| ( SV139 != SV195 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[922]) ).
thf(996,plain,
! [SV140: labeled_graph_b_nat,SV75: labeled_graph_b_nat] :
( ( ( ( ( labeled_edges_b_nat @ SV75 )
!= ( labeled_edges_b_nat @ SV140 ) )
| ( ( labele460410879_b_nat @ SV75 )
!= ( labele460410879_b_nat @ SV140 ) ) )
= $true )
| ( ( SV75 = SV140 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[923]) ).
thf(997,plain,
! [SV76: produc1478835367term_b] :
( ( SV76
= ( produc1990145943term_b @ ( sK3_SY323 @ SV76 ) @ ( sK6_SY432 @ SV76 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[924]) ).
thf(998,plain,
! [SV176: allegorical_term_b,SV141: allegorical_term_b,SV77: produc1478835367term_b] :
( ( ( SV77
= ( produc1990145943term_b @ SV141 @ SV176 ) )
= $false )
| ( ( ( produc854192515term_b @ SV77 )
= SV141 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[925]) ).
thf(999,plain,
! [SV196: allegorical_term_b,SV177: allegorical_term_b > $o,SV142: allegorical_term_b,SV78: allegorical_term_b > $o] :
( ( ( ~ ( SV78 @ SV142 ) )
= $true )
| ( ( ~ ( SV177 @ SV196 )
| ~ ( ~ ( SV78 @ ( produc854192515term_b @ ( produc1990145943term_b @ SV142 @ SV196 ) ) )
| ~ ( SV177 @ ( produc1223098053term_b @ ( produc1990145943term_b @ SV142 @ SV196 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[926]) ).
thf(1000,plain,
! [SV197: produc1478835367term_b,SV143: produc1478835367term_b] :
( ( ~ ( ( SV143 = SV197 )
| ~ ( ( ( produc854192515term_b @ SV143 )
!= ( produc854192515term_b @ SV197 ) )
| ( ( produc1223098053term_b @ SV143 )
!= ( produc1223098053term_b @ SV197 ) ) ) )
| ~ ( ( SV143 != SV197 )
| ~ ~ ( ( ( produc854192515term_b @ SV143 )
!= ( produc854192515term_b @ SV197 ) )
| ( ( produc1223098053term_b @ SV143 )
!= ( produc1223098053term_b @ SV197 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[927]) ).
thf(1001,plain,
! [SV197: produc1478835367term_b,SV143: produc1478835367term_b] :
( ( ( SV143 = SV197 )
= ( ~ ( ( ( produc854192515term_b @ SV143 )
!= ( produc854192515term_b @ SV197 ) )
| ( ( produc1223098053term_b @ SV143 )
!= ( produc1223098053term_b @ SV197 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[927]) ).
thf(1002,plain,
! [SV179: labeled_graph_b_nat,SV144: labeled_graph_b_nat,SV80: produc1235635379_b_nat] :
( ( ( SV80
= ( produc951298923_b_nat @ SV144 @ SV179 ) )
= $false )
| ( ( ( produc1542243159_b_nat @ SV80 )
= SV144 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[928]) ).
thf(1003,plain,
! [SV81: set_Pr9961929at_nat,SV145: set_Pr9961929at_nat] :
( ( ( ~ ( ord_le910748009at_nat @ SV145 @ SV81 ) )
= $true )
| ( ( finite1987068434at_nat @ SV145 )
= $true )
| ( ( finite1987068434at_nat @ SV81 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[929]) ).
thf(1004,plain,
! [SV146: produc1478835367term_b,SV82: produc1478835367term_b > $o] :
( ( ( ! [SY440: allegorical_term_b] : ( SV82 @ ( produc1990145943term_b @ ( sK9_SY336 @ SV146 @ SV82 ) @ SY440 ) ) )
= $false )
| ( ( SV82 @ SV146 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[930]) ).
thf(1005,plain,
! [SV147: labeled_graph_b_nat,SV83: labeled_graph_b_nat] :
( ( ( ( graph_529870330at_nat @ SV83 @ SV147 @ ( id_on_nat @ ( labele460410879_b_nat @ SV83 ) ) )
| ~ ( ~ ~ ( ( SV83
!= ( restrict_b_nat @ SV83 ) )
| ( SV147
!= ( restrict_b_nat @ SV147 ) ) )
| ( ( graph_union_b_nat @ SV83 @ SV147 )
!= SV147 ) ) )
= $false )
| ( ( ~ ( ~ ( graph_529870330at_nat @ SV83 @ SV147 @ ( id_on_nat @ ( labele460410879_b_nat @ SV83 ) ) )
| ~ ~ ( ~ ~ ( ( SV83
!= ( restrict_b_nat @ SV83 ) )
| ( SV147
!= ( restrict_b_nat @ SV147 ) ) )
| ( ( graph_union_b_nat @ SV83 @ SV147 )
!= SV147 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[931]) ).
thf(1006,plain,
! [SV84: set_nat,SV148: set_nat] :
( ( ( ~ ( ord_less_eq_set_nat @ SV148 @ SV84 ) )
= $true )
| ( ( finite_finite_nat @ SV148 )
= $true )
| ( ( finite_finite_nat @ SV84 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[932]) ).
thf(1007,plain,
! [SV85: produc1478835367term_b] :
( ( ! [SY434: allegorical_term_b] :
( SV85
!= ( produc1990145943term_b @ ( sK4_SY340 @ SV85 ) @ SY434 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[933]) ).
thf(1008,plain,
! [SV198: labeled_graph_b_nat,SV180: labeled_graph_b_nat,SV149: labeled_graph_b_nat,SV86: labeled_graph_b_nat] :
( ( ( ( produc951298923_b_nat @ SV86 @ SV149 )
!= ( produc951298923_b_nat @ SV180 @ SV198 ) )
= $true )
| ( ( ~ ( ( SV86 != SV180 )
| ( SV149 != SV198 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[934]) ).
thf(1009,plain,
! [SV150: allegorical_term_b,SV87: allegorical_term_b] :
( ( ~ ( ~ ~ ( ~ ( graph_529870330at_nat @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV87 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV87 @ SV150 ) ) ) ) @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV87 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV87 @ SV150 ) ) ) ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV87 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV87 @ SV150 ) ) ) ) ) ) )
| ( ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV87 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV87 @ SV150 ) ) ) )
!= ( restrict_b_nat @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV87 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV87 @ SV150 ) ) ) ) ) ) )
| ~ ( finite_finite_nat @ ( labele460410879_b_nat @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV87 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV87 @ SV150 ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[935]) ).
thf(1010,plain,
! [SV150: allegorical_term_b,SV87: allegorical_term_b] :
( ( finite1987068434at_nat @ ( labeled_edges_b_nat @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV87 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV87 @ SV150 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[936]) ).
thf(1011,plain,
! [SV199: allegorical_term_b,SV181: set_Pr1163220871term_b,SV151: allegorical_term_b,SV88: allegorical_term_b] :
( ( ( ~ ( member516522448term_b @ ( produc1990145943term_b @ SV88 @ SV151 ) @ SV181 ) )
= $true )
| ( ( ( SV199 != SV151 )
| ( member516522448term_b @ ( produc1990145943term_b @ SV88 @ SV199 ) @ SV181 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[937]) ).
thf(1012,plain,
! [SV182: labeled_graph_b_nat,SV152: labeled_graph_b_nat,SV89: produc1235635379_b_nat] :
( ( ( SV89
= ( produc951298923_b_nat @ SV152 @ SV182 ) )
= $false )
| ( ( ( produc194497945_b_nat @ SV89 )
= SV182 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[938]) ).
thf(1013,plain,
! [SV153: produc1235635379_b_nat,SV90: produc1235635379_b_nat > $o] :
( ( ( ! [SY441: labeled_graph_b_nat] : ( SV90 @ ( produc951298923_b_nat @ ( sK10_SY352 @ SV153 @ SV90 ) @ SY441 ) ) )
= $false )
| ( ( SV90 @ SV153 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[939]) ).
thf(1014,plain,
( ( ~ ~ ( ~ ( graph_529870330at_nat @ ( produc1542243159_b_nat @ standa879863266rule_b ) @ ( produc194497945_b_nat @ standa879863266rule_b ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ standa879863266rule_b ) ) ) )
| ( ( produc194497945_b_nat @ standa879863266rule_b )
!= ( restrict_b_nat @ ( produc194497945_b_nat @ standa879863266rule_b ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[940]) ).
thf(1015,plain,
( ( ~ ( finite_finite_nat @ ( labele460410879_b_nat @ ( produc194497945_b_nat @ standa879863266rule_b ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[940]) ).
thf(1016,plain,
! [SV1: labeled_graph_b_nat] :
( ( ( ~ ( graph_529870330at_nat @ SV1 @ SV1 @ ( id_on_nat @ ( labele460410879_b_nat @ SV1 ) ) )
| ( SV1
!= ( restrict_b_nat @ SV1 ) ) )
= $false )
| ( ( graph_529870330at_nat @ SV1 @ SV1 @ ( id_on_nat @ ( labele460410879_b_nat @ SV1 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[941]) ).
thf(1017,plain,
! [SV1: labeled_graph_b_nat] :
( ( ( ~ ( graph_529870330at_nat @ SV1 @ SV1 @ ( id_on_nat @ ( labele460410879_b_nat @ SV1 ) ) )
| ( SV1
!= ( restrict_b_nat @ SV1 ) ) )
= $false )
| ( ( SV1
= ( restrict_b_nat @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[942]) ).
thf(1018,plain,
! [SV2: labeled_graph_b_nat] :
( ( ( ~ ( graph_529870330at_nat @ SV2 @ ( restrict_b_nat @ SV2 ) @ ( id_on_nat @ ( labele460410879_b_nat @ SV2 ) ) )
| ( SV2
!= ( restrict_b_nat @ SV2 ) ) )
= $false )
| ( ( graph_529870330at_nat @ SV2 @ ( restrict_b_nat @ SV2 ) @ ( id_on_nat @ ( labele460410879_b_nat @ SV2 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[943]) ).
thf(1019,plain,
! [SV2: labeled_graph_b_nat] :
( ( ( ~ ( graph_529870330at_nat @ SV2 @ ( restrict_b_nat @ SV2 ) @ ( id_on_nat @ ( labele460410879_b_nat @ SV2 ) ) )
| ( SV2
!= ( restrict_b_nat @ SV2 ) ) )
= $false )
| ( ( SV2
= ( restrict_b_nat @ SV2 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[944]) ).
thf(1020,plain,
! [SV26: produc1235635379_b_nat] :
( ( SV26
!= ( produc951298923_b_nat @ ( sK1_SY229 @ SV26 ) @ ( sK11_SY417 @ SV26 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[945]) ).
thf(1021,plain,
! [SV183: produc1478835367term_b,SV154: allegorical_term_b,SV98: allegorical_term_b,SV27: allegorical_term_b > allegorical_term_b > $o] :
( ( ( SV27 @ SV98 @ SV154 )
= $false )
| ( ( ( SV183
!= ( produc1990145943term_b @ SV98 @ SV154 ) )
| ( SV27 @ ( produc854192515term_b @ SV183 ) @ ( produc1223098053term_b @ SV183 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[946]) ).
thf(1022,plain,
! [SV30: set_Pr9961929at_nat,SV101: set_Pr9961929at_nat] :
( ( ( finite1987068434at_nat @ SV101 )
= $false )
| ( ( finite1987068434at_nat @ SV30 )
= $true )
| ( ( ord_le910748009at_nat @ SV30 @ SV101 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[948]) ).
thf(1023,plain,
! [SV184: labeled_graph_b_nat,SV156: set_Pr551076371_b_nat,SV102: labeled_graph_b_nat,SV31: labeled_graph_b_nat] :
( ( ( member963855452_b_nat @ ( produc951298923_b_nat @ SV31 @ SV102 ) @ SV156 )
= $false )
| ( ( ( SV184 != SV102 )
| ( member963855452_b_nat @ ( produc951298923_b_nat @ SV31 @ SV184 ) @ SV156 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[949]) ).
thf(1024,plain,
! [SV103: produc1235635379_b_nat,SV32: labeled_graph_b_nat] :
( ( ( SV32
= ( produc1542243159_b_nat @ SV103 ) )
= $false )
| ( ( ~ ( ( SV32
!= ( produc1542243159_b_nat @ SV103 ) )
| ~ ~ ! [SY359: labeled_graph_b_nat] :
( SV103
!= ( produc951298923_b_nat @ SV32 @ SY359 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[950]) ).
thf(1025,plain,
! [SV32: labeled_graph_b_nat,SV103: produc1235635379_b_nat] :
( ( ( ~ ! [SY359: labeled_graph_b_nat] :
( SV103
!= ( produc951298923_b_nat @ SV32 @ SY359 ) ) )
= $false )
| ( ( ~ ( ( SV32
!= ( produc1542243159_b_nat @ SV103 ) )
| ~ ~ ! [SY359: labeled_graph_b_nat] :
( SV103
!= ( produc951298923_b_nat @ SV32 @ SY359 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[950]) ).
thf(1026,plain,
! [SV185: labeled_graph_b_nat,SV157: labeled_graph_b_nat,SV104: labeled_graph_b_nat,SV33: labeled_graph_b_nat] :
( ( ( ~ ( ( ( produc951298923_b_nat @ SV33 @ SV104 )
= ( produc951298923_b_nat @ SV157 @ SV185 ) )
| ~ ( ( SV33 != SV157 )
| ( SV104 != SV185 ) ) ) )
= $true )
| ( ( ~ ( ( ( produc951298923_b_nat @ SV33 @ SV104 )
!= ( produc951298923_b_nat @ SV157 @ SV185 ) )
| ~ ~ ( ( SV33 != SV157 )
| ( SV104 != SV185 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[951]) ).
thf(1027,plain,
! [SV105: produc1235635379_b_nat,SV34: produc1235635379_b_nat] :
( ( ( ( produc194497945_b_nat @ SV34 )
= ( produc194497945_b_nat @ SV105 ) )
= $false )
| ( ( SV34 = SV105 )
= $true )
| ( ( ( produc1542243159_b_nat @ SV34 )
= ( produc1542243159_b_nat @ SV105 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[953]) ).
thf(1028,plain,
! [SV106: produc1478835367term_b,SV35: allegorical_term_b] :
( ( ( SV35
= ( produc1223098053term_b @ SV106 ) )
= $false )
| ( ( ~ ( ( SV35
!= ( produc1223098053term_b @ SV106 ) )
| ~ ~ ! [SY362: allegorical_term_b] :
( SV106
!= ( produc1990145943term_b @ SY362 @ SV35 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[954]) ).
thf(1029,plain,
! [SV35: allegorical_term_b,SV106: produc1478835367term_b] :
( ( ( ~ ! [SY362: allegorical_term_b] :
( SV106
!= ( produc1990145943term_b @ SY362 @ SV35 ) ) )
= $false )
| ( ( ~ ( ( SV35
!= ( produc1223098053term_b @ SV106 ) )
| ~ ~ ! [SY362: allegorical_term_b] :
( SV106
!= ( produc1990145943term_b @ SY362 @ SV35 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[954]) ).
thf(1030,plain,
! [SV36: labeled_graph_b_nat,SV107: labeled_graph_b_nat] :
( ( ( SV107
= ( restrict_b_nat @ SV107 ) )
= $false )
| ( ( ( graph_union_b_nat @ SV36 @ SV107 )
= ( restrict_b_nat @ ( graph_union_b_nat @ SV36 @ SV107 ) ) )
= $true )
| ( ( SV36
= ( restrict_b_nat @ SV36 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[955]) ).
thf(1031,plain,
! [SV186: labeled_graph_b_nat,SV159: labeled_graph_b_nat,SV110: labeled_graph_b_nat,SV39: labeled_graph_b_nat] :
( ( ( ~ ( ( ( produc951298923_b_nat @ SV39 @ SV110 )
= ( produc951298923_b_nat @ SV159 @ SV186 ) )
| ~ ( ( SV39 != SV159 )
| ( SV110 != SV186 ) ) ) )
= $true )
| ( ( ~ ( ( ( produc951298923_b_nat @ SV39 @ SV110 )
!= ( produc951298923_b_nat @ SV159 @ SV186 ) )
| ~ ~ ( ( SV39 != SV159 )
| ( SV110 != SV186 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[957]) ).
thf(1032,plain,
! [SV112: produc1478835367term_b,SV41: allegorical_term_b] :
( ( ( SV41
= ( produc854192515term_b @ SV112 ) )
= $false )
| ( ( ~ ( ( SV41
!= ( produc854192515term_b @ SV112 ) )
| ~ ~ ! [SY367: allegorical_term_b] :
( SV112
!= ( produc1990145943term_b @ SV41 @ SY367 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[960]) ).
thf(1033,plain,
! [SV41: allegorical_term_b,SV112: produc1478835367term_b] :
( ( ( ~ ! [SY367: allegorical_term_b] :
( SV112
!= ( produc1990145943term_b @ SV41 @ SY367 ) ) )
= $false )
| ( ( ~ ( ( SV41
!= ( produc854192515term_b @ SV112 ) )
| ~ ~ ! [SY367: allegorical_term_b] :
( SV112
!= ( produc1990145943term_b @ SV41 @ SY367 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[960]) ).
thf(1034,plain,
! [SV113: produc1235635379_b_nat,SV42: produc1235635379_b_nat > $o] :
( ( ( SV42 @ ( produc951298923_b_nat @ ( sK7_SY261 @ SV113 @ SV42 ) @ ( sK12_SY438 @ SV113 @ SV42 ) ) )
= $false )
| ( ( SV42 @ SV113 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[961]) ).
thf(1035,plain,
! [SV200: set_Pr1986765409at_nat,SV187: labeled_graph_b_nat,SV161: set_Pr1986765409at_nat,SV114: labeled_graph_b_nat,SV43: labeled_graph_b_nat] :
( ( ( ~ ( graph_529870330at_nat @ SV43 @ SV114 @ SV161 ) )
= $true )
| ( ( ~ ( graph_529870330at_nat @ SV114 @ SV187 @ SV200 )
| ( graph_529870330at_nat @ SV43 @ SV187 @ ( relcomp_nat_nat_nat @ SV161 @ SV200 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[962]) ).
thf(1036,plain,
! [SV44: labeled_graph_b_nat,SV162: labeled_graph_b_nat,SV115: labeled_graph_b_nat] :
( ( ( ~ ( graph_529870330at_nat @ SV115 @ SV162 @ ( id_on_nat @ ( labele460410879_b_nat @ SV115 ) ) ) )
= $true )
| ( ( graph_529870330at_nat @ SV44 @ SV162 @ ( id_on_nat @ ( labele460410879_b_nat @ SV44 ) ) )
= $true )
| ( ( graph_529870330at_nat @ SV44 @ SV115 @ ( id_on_nat @ ( labele460410879_b_nat @ SV44 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[963]) ).
thf(1037,plain,
! [SV116: set_nat,SV45: set_nat] :
( ( ( ~ ( finite_finite_nat @ SV45 ) )
= $false )
| ( ( ~ ( finite_finite_nat @ SV116 ) )
= $true )
| ( ( ord_less_eq_set_nat @ SV45 @ SV116 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[964]) ).
thf(1038,plain,
! [SV117: set_Pr9961929at_nat,SV46: set_Pr9961929at_nat] :
( ( ( ~ ( finite1987068434at_nat @ SV46 ) )
= $false )
| ( ( ~ ( finite1987068434at_nat @ SV117 ) )
= $true )
| ( ( ord_le910748009at_nat @ SV46 @ SV117 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[965]) ).
thf(1039,plain,
! [SV50: set_nat,SV119: set_nat] :
( ( ( finite_finite_nat @ SV119 )
= $false )
| ( ( finite_finite_nat @ SV50 )
= $true )
| ( ( ord_less_eq_set_nat @ SV50 @ SV119 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[968]) ).
thf(1040,plain,
! [SV188: allegorical_term_b,SV164: allegorical_term_b,SV120: allegorical_term_b,SV51: allegorical_term_b] :
( ( ( ( produc1990145943term_b @ SV51 @ SV120 )
= ( produc1990145943term_b @ SV164 @ SV188 ) )
= $false )
| ( ( ~ ( ( SV51 != SV164 )
| ( SV120 != SV188 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[969]) ).
thf(1041,plain,
! [SV122: produc1478835367term_b,SV53: allegorical_term_b > allegorical_term_b > $o] :
( ( ( ! [SY442: allegorical_term_b] :
~ ( SV53 @ SY442 @ ( sK13_SY280 @ SV122 @ SV53 ) ) )
= $false )
| ( ( SV53 @ ( produc1223098053term_b @ SV122 ) @ ( produc854192515term_b @ SV122 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[971]) ).
thf(1042,plain,
! [SV189: set_Pr1986765409at_nat,SV166: labeled_graph_b_nat,SV123: labeled_graph_b_nat,SV54: labeled_graph_b_nat] :
( ( ( graph_529870330at_nat @ SV54 @ SV123 @ ( id_on_nat @ ( labele460410879_b_nat @ SV54 ) ) )
= $false )
| ( ( ~ ( graph_529870330at_nat @ SV166 @ SV54 @ SV189 )
| ( graph_529870330at_nat @ SV166 @ SV123 @ SV189 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[972]) ).
thf(1043,plain,
! [SV190: allegorical_term_b,SV167: allegorical_term_b,SV124: allegorical_term_b,SV55: allegorical_term_b] :
( ( ( ~ ( ( ( produc1990145943term_b @ SV55 @ SV124 )
= ( produc1990145943term_b @ SV167 @ SV190 ) )
| ~ ( ( SV55 != SV167 )
| ( SV124 != SV190 ) ) ) )
= $true )
| ( ( ~ ( ( ( produc1990145943term_b @ SV55 @ SV124 )
!= ( produc1990145943term_b @ SV167 @ SV190 ) )
| ~ ~ ( ( SV55 != SV167 )
| ( SV124 != SV190 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[973]) ).
thf(1044,plain,
! [SV126: produc1478835367term_b,SV57: produc1478835367term_b] :
( ( ( ( produc854192515term_b @ SV57 )
!= ( produc854192515term_b @ SV126 ) )
= $true )
| ( ( ( produc1223098053term_b @ SV57 )
!= ( produc1223098053term_b @ SV126 ) )
= $true )
| ( ( SV57 = SV126 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[976]) ).
thf(1045,plain,
! [SV191: produc1235635379_b_nat,SV170: labeled_graph_b_nat,SV129: labeled_graph_b_nat,SV61: labeled_graph_b_nat > labeled_graph_b_nat > $o] :
( ( ( SV61 @ SV129 @ SV170 )
= $false )
| ( ( ( SV191
!= ( produc951298923_b_nat @ SV129 @ SV170 ) )
| ( SV61 @ ( produc1542243159_b_nat @ SV191 ) @ ( produc194497945_b_nat @ SV191 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[979]) ).
thf(1046,plain,
! [SV130: produc1235635379_b_nat,SV62: produc1235635379_b_nat] :
( ( ( ( produc1542243159_b_nat @ SV62 )
!= ( produc1542243159_b_nat @ SV130 ) )
= $true )
| ( ( ( produc194497945_b_nat @ SV62 )
!= ( produc194497945_b_nat @ SV130 ) )
= $true )
| ( ( SV62 = SV130 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[980]) ).
thf(1047,plain,
! [SV131: produc1235635379_b_nat,SV63: labeled_graph_b_nat > labeled_graph_b_nat > $o] :
( ( ( ! [SY443: labeled_graph_b_nat] :
~ ( SV63 @ SY443 @ ( sK14_SY301 @ SV131 @ SV63 ) ) )
= $false )
| ( ( SV63 @ ( produc194497945_b_nat @ SV131 ) @ ( produc1542243159_b_nat @ SV131 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[981]) ).
thf(1048,plain,
! [SV192: allegorical_term_b,SV171: allegorical_term_b,SV132: allegorical_term_b,SV65: allegorical_term_b] :
( ( ( ~ ( ( ( allegorical_A_Int_b @ SV65 @ SV132 )
= ( allegorical_A_Int_b @ SV171 @ SV192 ) )
| ~ ( ( SV65 != SV171 )
| ( SV132 != SV192 ) ) ) )
= $true )
| ( ( ~ ( ( ( allegorical_A_Int_b @ SV65 @ SV132 )
!= ( allegorical_A_Int_b @ SV171 @ SV192 ) )
| ~ ~ ( ( SV65 != SV171 )
| ( SV132 != SV192 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[983]) ).
thf(1049,plain,
! [SV66: b] :
( ( ~ ~ ( ~ ( graph_529870330at_nat @ ( produc1542243159_b_nat @ ( standa1329480013rule_b @ SV66 ) ) @ ( produc194497945_b_nat @ ( standa1329480013rule_b @ SV66 ) ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ ( standa1329480013rule_b @ SV66 ) ) ) ) )
| ( ( produc194497945_b_nat @ ( standa1329480013rule_b @ SV66 ) )
!= ( restrict_b_nat @ ( produc194497945_b_nat @ ( standa1329480013rule_b @ SV66 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[985]) ).
thf(1050,plain,
! [SV66: b] :
( ( ~ ( finite_finite_nat @ ( labele460410879_b_nat @ ( produc194497945_b_nat @ ( standa1329480013rule_b @ SV66 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[985]) ).
thf(1051,plain,
! [SV67: b] :
( ( ~ ~ ( ~ ( graph_529870330at_nat @ ( produc1542243159_b_nat @ ( standa1360217389rule_b @ SV67 ) ) @ ( produc194497945_b_nat @ ( standa1360217389rule_b @ SV67 ) ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ ( standa1360217389rule_b @ SV67 ) ) ) ) )
| ( ( produc194497945_b_nat @ ( standa1360217389rule_b @ SV67 ) )
!= ( restrict_b_nat @ ( produc194497945_b_nat @ ( standa1360217389rule_b @ SV67 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[986]) ).
thf(1052,plain,
! [SV67: b] :
( ( ~ ( finite_finite_nat @ ( labele460410879_b_nat @ ( produc194497945_b_nat @ ( standa1360217389rule_b @ SV67 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[986]) ).
thf(1053,plain,
! [SV133: produc1478835367term_b,SV68: produc1478835367term_b] :
( ( ( ( produc1223098053term_b @ SV68 )
= ( produc1223098053term_b @ SV133 ) )
= $false )
| ( ( SV68 = SV133 )
= $true )
| ( ( ( produc854192515term_b @ SV68 )
= ( produc854192515term_b @ SV133 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[987]) ).
thf(1054,plain,
! [SV134: produc1235635379_b_nat,SV69: labeled_graph_b_nat] :
( ( ( SV69
= ( produc194497945_b_nat @ SV134 ) )
= $false )
| ( ( ~ ( ( SV69
!= ( produc194497945_b_nat @ SV134 ) )
| ~ ~ ! [SY392: labeled_graph_b_nat] :
( SV134
!= ( produc951298923_b_nat @ SY392 @ SV69 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[988]) ).
thf(1055,plain,
! [SV69: labeled_graph_b_nat,SV134: produc1235635379_b_nat] :
( ( ( ~ ! [SY392: labeled_graph_b_nat] :
( SV134
!= ( produc951298923_b_nat @ SY392 @ SV69 ) ) )
= $false )
| ( ( ~ ( ( SV69
!= ( produc194497945_b_nat @ SV134 ) )
| ~ ~ ! [SY392: labeled_graph_b_nat] :
( SV134
!= ( produc951298923_b_nat @ SY392 @ SV69 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[988]) ).
thf(1056,plain,
! [SV135: produc1478835367term_b,SV70: produc1478835367term_b > $o] :
( ( ( SV70 @ ( produc1990145943term_b @ ( sK8_SY310 @ SV135 @ SV70 ) @ ( sK15_SY439 @ SV135 @ SV70 ) ) )
= $false )
| ( ( SV70 @ SV135 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[989]) ).
thf(1057,plain,
! [SV193: produc1235635379_b_nat,SV137: produc1235635379_b_nat] :
( ( ( ~ ( ( SV137 = SV193 )
| ~ ( ( ( produc1542243159_b_nat @ SV137 )
!= ( produc1542243159_b_nat @ SV193 ) )
| ( ( produc194497945_b_nat @ SV137 )
!= ( produc194497945_b_nat @ SV193 ) ) ) ) )
= $true )
| ( ( ~ ( ( SV137 != SV193 )
| ~ ~ ( ( ( produc1542243159_b_nat @ SV137 )
!= ( produc1542243159_b_nat @ SV193 ) )
| ( ( produc194497945_b_nat @ SV137 )
!= ( produc194497945_b_nat @ SV193 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[991]) ).
thf(1058,plain,
! [SV194: labeled_graph_b_nat,SV174: labeled_graph_b_nat > $o,SV138: labeled_graph_b_nat,SV73: labeled_graph_b_nat > $o] :
( ( ( SV73 @ SV138 )
= $false )
| ( ( ~ ( SV174 @ SV194 )
| ~ ( ~ ( SV73 @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ SV138 @ SV194 ) ) )
| ~ ( SV174 @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ SV138 @ SV194 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[993]) ).
thf(1059,plain,
! [SV195: allegorical_term_b,SV175: allegorical_term_b,SV139: allegorical_term_b,SV74: allegorical_term_b] :
( ( ( ~ ( ( ( produc1990145943term_b @ SV74 @ SV139 )
= ( produc1990145943term_b @ SV175 @ SV195 ) )
| ~ ( ( SV74 != SV175 )
| ( SV139 != SV195 ) ) ) )
= $true )
| ( ( ~ ( ( ( produc1990145943term_b @ SV74 @ SV139 )
!= ( produc1990145943term_b @ SV175 @ SV195 ) )
| ~ ~ ( ( SV74 != SV175 )
| ( SV139 != SV195 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[994]) ).
thf(1060,plain,
! [SV140: labeled_graph_b_nat,SV75: labeled_graph_b_nat] :
( ( ( ( labeled_edges_b_nat @ SV75 )
!= ( labeled_edges_b_nat @ SV140 ) )
= $true )
| ( ( ( labele460410879_b_nat @ SV75 )
!= ( labele460410879_b_nat @ SV140 ) )
= $true )
| ( ( SV75 = SV140 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[996]) ).
thf(1061,plain,
! [SV196: allegorical_term_b,SV177: allegorical_term_b > $o,SV142: allegorical_term_b,SV78: allegorical_term_b > $o] :
( ( ( SV78 @ SV142 )
= $false )
| ( ( ~ ( SV177 @ SV196 )
| ~ ( ~ ( SV78 @ ( produc854192515term_b @ ( produc1990145943term_b @ SV142 @ SV196 ) ) )
| ~ ( SV177 @ ( produc1223098053term_b @ ( produc1990145943term_b @ SV142 @ SV196 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[999]) ).
thf(1062,plain,
! [SV197: produc1478835367term_b,SV143: produc1478835367term_b] :
( ( ( ~ ( ( SV143 = SV197 )
| ~ ( ( ( produc854192515term_b @ SV143 )
!= ( produc854192515term_b @ SV197 ) )
| ( ( produc1223098053term_b @ SV143 )
!= ( produc1223098053term_b @ SV197 ) ) ) ) )
= $true )
| ( ( ~ ( ( SV143 != SV197 )
| ~ ~ ( ( ( produc854192515term_b @ SV143 )
!= ( produc854192515term_b @ SV197 ) )
| ( ( produc1223098053term_b @ SV143 )
!= ( produc1223098053term_b @ SV197 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1000]) ).
thf(1063,plain,
! [SV81: set_Pr9961929at_nat,SV145: set_Pr9961929at_nat] :
( ( ( ord_le910748009at_nat @ SV145 @ SV81 )
= $false )
| ( ( finite1987068434at_nat @ SV145 )
= $true )
| ( ( finite1987068434at_nat @ SV81 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1003]) ).
thf(1064,plain,
! [SV146: produc1478835367term_b,SV82: produc1478835367term_b > $o] :
( ( ( SV82 @ ( produc1990145943term_b @ ( sK9_SY336 @ SV146 @ SV82 ) @ ( sK16_SY440 @ SV146 @ SV82 ) ) )
= $false )
| ( ( SV82 @ SV146 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1004]) ).
thf(1065,plain,
! [SV147: labeled_graph_b_nat,SV83: labeled_graph_b_nat] :
( ( ( graph_529870330at_nat @ SV83 @ SV147 @ ( id_on_nat @ ( labele460410879_b_nat @ SV83 ) ) )
= $false )
| ( ( ~ ( ~ ( graph_529870330at_nat @ SV83 @ SV147 @ ( id_on_nat @ ( labele460410879_b_nat @ SV83 ) ) )
| ~ ~ ( ~ ~ ( ( SV83
!= ( restrict_b_nat @ SV83 ) )
| ( SV147
!= ( restrict_b_nat @ SV147 ) ) )
| ( ( graph_union_b_nat @ SV83 @ SV147 )
!= SV147 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1005]) ).
thf(1066,plain,
! [SV147: labeled_graph_b_nat,SV83: labeled_graph_b_nat] :
( ( ( ~ ( ~ ~ ( ( SV83
!= ( restrict_b_nat @ SV83 ) )
| ( SV147
!= ( restrict_b_nat @ SV147 ) ) )
| ( ( graph_union_b_nat @ SV83 @ SV147 )
!= SV147 ) ) )
= $false )
| ( ( ~ ( ~ ( graph_529870330at_nat @ SV83 @ SV147 @ ( id_on_nat @ ( labele460410879_b_nat @ SV83 ) ) )
| ~ ~ ( ~ ~ ( ( SV83
!= ( restrict_b_nat @ SV83 ) )
| ( SV147
!= ( restrict_b_nat @ SV147 ) ) )
| ( ( graph_union_b_nat @ SV83 @ SV147 )
!= SV147 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1005]) ).
thf(1067,plain,
! [SV84: set_nat,SV148: set_nat] :
( ( ( ord_less_eq_set_nat @ SV148 @ SV84 )
= $false )
| ( ( finite_finite_nat @ SV148 )
= $true )
| ( ( finite_finite_nat @ SV84 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1006]) ).
thf(1068,plain,
! [SV85: produc1478835367term_b] :
( ( SV85
!= ( produc1990145943term_b @ ( sK4_SY340 @ SV85 ) @ ( sK17_SY434 @ SV85 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[1007]) ).
thf(1069,plain,
! [SV198: labeled_graph_b_nat,SV180: labeled_graph_b_nat,SV149: labeled_graph_b_nat,SV86: labeled_graph_b_nat] :
( ( ( ( produc951298923_b_nat @ SV86 @ SV149 )
= ( produc951298923_b_nat @ SV180 @ SV198 ) )
= $false )
| ( ( ~ ( ( SV86 != SV180 )
| ( SV149 != SV198 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1008]) ).
thf(1070,plain,
! [SV150: allegorical_term_b,SV87: allegorical_term_b] :
( ( ~ ~ ( ~ ( graph_529870330at_nat @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV87 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV87 @ SV150 ) ) ) ) @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV87 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV87 @ SV150 ) ) ) ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV87 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV87 @ SV150 ) ) ) ) ) ) )
| ( ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV87 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV87 @ SV150 ) ) ) )
!= ( restrict_b_nat @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV87 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV87 @ SV150 ) ) ) ) ) ) )
| ~ ( finite_finite_nat @ ( labele460410879_b_nat @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV87 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV87 @ SV150 ) ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1009]) ).
thf(1071,plain,
! [SV199: allegorical_term_b,SV181: set_Pr1163220871term_b,SV151: allegorical_term_b,SV88: allegorical_term_b] :
( ( ( member516522448term_b @ ( produc1990145943term_b @ SV88 @ SV151 ) @ SV181 )
= $false )
| ( ( ( SV199 != SV151 )
| ( member516522448term_b @ ( produc1990145943term_b @ SV88 @ SV199 ) @ SV181 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1011]) ).
thf(1072,plain,
! [SV153: produc1235635379_b_nat,SV90: produc1235635379_b_nat > $o] :
( ( ( SV90 @ ( produc951298923_b_nat @ ( sK10_SY352 @ SV153 @ SV90 ) @ ( sK18_SY441 @ SV153 @ SV90 ) ) )
= $false )
| ( ( SV90 @ SV153 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1013]) ).
thf(1073,plain,
( ( ~ ( ~ ( graph_529870330at_nat @ ( produc1542243159_b_nat @ standa879863266rule_b ) @ ( produc194497945_b_nat @ standa879863266rule_b ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ standa879863266rule_b ) ) ) )
| ( ( produc194497945_b_nat @ standa879863266rule_b )
!= ( restrict_b_nat @ ( produc194497945_b_nat @ standa879863266rule_b ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1014]) ).
thf(1074,plain,
( ( finite_finite_nat @ ( labele460410879_b_nat @ ( produc194497945_b_nat @ standa879863266rule_b ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1015]) ).
thf(1075,plain,
! [SV1: labeled_graph_b_nat] :
( ( ( ~ ( graph_529870330at_nat @ SV1 @ SV1 @ ( id_on_nat @ ( labele460410879_b_nat @ SV1 ) ) ) )
= $false )
| ( ( graph_529870330at_nat @ SV1 @ SV1 @ ( id_on_nat @ ( labele460410879_b_nat @ SV1 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1016]) ).
thf(1076,plain,
! [SV1: labeled_graph_b_nat] :
( ( ( SV1
!= ( restrict_b_nat @ SV1 ) )
= $false )
| ( ( graph_529870330at_nat @ SV1 @ SV1 @ ( id_on_nat @ ( labele460410879_b_nat @ SV1 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1016]) ).
thf(1077,plain,
! [SV1: labeled_graph_b_nat] :
( ( ( ~ ( graph_529870330at_nat @ SV1 @ SV1 @ ( id_on_nat @ ( labele460410879_b_nat @ SV1 ) ) ) )
= $false )
| ( ( SV1
= ( restrict_b_nat @ SV1 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1017]) ).
thf(1078,plain,
! [SV1: labeled_graph_b_nat] :
( ( ( SV1
!= ( restrict_b_nat @ SV1 ) )
= $false )
| ( ( SV1
= ( restrict_b_nat @ SV1 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1017]) ).
thf(1079,plain,
! [SV2: labeled_graph_b_nat] :
( ( ( ~ ( graph_529870330at_nat @ SV2 @ ( restrict_b_nat @ SV2 ) @ ( id_on_nat @ ( labele460410879_b_nat @ SV2 ) ) ) )
= $false )
| ( ( graph_529870330at_nat @ SV2 @ ( restrict_b_nat @ SV2 ) @ ( id_on_nat @ ( labele460410879_b_nat @ SV2 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1018]) ).
thf(1080,plain,
! [SV2: labeled_graph_b_nat] :
( ( ( SV2
!= ( restrict_b_nat @ SV2 ) )
= $false )
| ( ( graph_529870330at_nat @ SV2 @ ( restrict_b_nat @ SV2 ) @ ( id_on_nat @ ( labele460410879_b_nat @ SV2 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1018]) ).
thf(1081,plain,
! [SV2: labeled_graph_b_nat] :
( ( ( ~ ( graph_529870330at_nat @ SV2 @ ( restrict_b_nat @ SV2 ) @ ( id_on_nat @ ( labele460410879_b_nat @ SV2 ) ) ) )
= $false )
| ( ( SV2
= ( restrict_b_nat @ SV2 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1019]) ).
thf(1082,plain,
! [SV2: labeled_graph_b_nat] :
( ( ( SV2
!= ( restrict_b_nat @ SV2 ) )
= $false )
| ( ( SV2
= ( restrict_b_nat @ SV2 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1019]) ).
thf(1083,plain,
! [SV26: produc1235635379_b_nat] :
( ( SV26
= ( produc951298923_b_nat @ ( sK1_SY229 @ SV26 ) @ ( sK11_SY417 @ SV26 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1020]) ).
thf(1084,plain,
! [SV27: allegorical_term_b > allegorical_term_b > $o,SV154: allegorical_term_b,SV98: allegorical_term_b,SV183: produc1478835367term_b] :
( ( ( SV183
!= ( produc1990145943term_b @ SV98 @ SV154 ) )
= $true )
| ( ( SV27 @ ( produc854192515term_b @ SV183 ) @ ( produc1223098053term_b @ SV183 ) )
= $true )
| ( ( SV27 @ SV98 @ SV154 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1021]) ).
thf(1085,plain,
! [SV156: set_Pr551076371_b_nat,SV31: labeled_graph_b_nat,SV102: labeled_graph_b_nat,SV184: labeled_graph_b_nat] :
( ( ( SV184 != SV102 )
= $true )
| ( ( member963855452_b_nat @ ( produc951298923_b_nat @ SV31 @ SV184 ) @ SV156 )
= $true )
| ( ( member963855452_b_nat @ ( produc951298923_b_nat @ SV31 @ SV102 ) @ SV156 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1023]) ).
thf(1086,plain,
! [SV103: produc1235635379_b_nat,SV32: labeled_graph_b_nat] :
( ( ( ( SV32
!= ( produc1542243159_b_nat @ SV103 ) )
| ~ ~ ! [SY359: labeled_graph_b_nat] :
( SV103
!= ( produc951298923_b_nat @ SV32 @ SY359 ) ) )
= $false )
| ( ( SV32
= ( produc1542243159_b_nat @ SV103 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1024]) ).
thf(1087,plain,
! [SV32: labeled_graph_b_nat,SV103: produc1235635379_b_nat] :
( ( ( ! [SY359: labeled_graph_b_nat] :
( SV103
!= ( produc951298923_b_nat @ SV32 @ SY359 ) ) )
= $true )
| ( ( ~ ( ( SV32
!= ( produc1542243159_b_nat @ SV103 ) )
| ~ ~ ! [SY359: labeled_graph_b_nat] :
( SV103
!= ( produc951298923_b_nat @ SV32 @ SY359 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1025]) ).
thf(1088,plain,
! [SV185: labeled_graph_b_nat,SV157: labeled_graph_b_nat,SV104: labeled_graph_b_nat,SV33: labeled_graph_b_nat] :
( ( ( ( ( produc951298923_b_nat @ SV33 @ SV104 )
= ( produc951298923_b_nat @ SV157 @ SV185 ) )
| ~ ( ( SV33 != SV157 )
| ( SV104 != SV185 ) ) )
= $false )
| ( ( ~ ( ( ( produc951298923_b_nat @ SV33 @ SV104 )
!= ( produc951298923_b_nat @ SV157 @ SV185 ) )
| ~ ~ ( ( SV33 != SV157 )
| ( SV104 != SV185 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1026]) ).
thf(1089,plain,
! [SV106: produc1478835367term_b,SV35: allegorical_term_b] :
( ( ( ( SV35
!= ( produc1223098053term_b @ SV106 ) )
| ~ ~ ! [SY362: allegorical_term_b] :
( SV106
!= ( produc1990145943term_b @ SY362 @ SV35 ) ) )
= $false )
| ( ( SV35
= ( produc1223098053term_b @ SV106 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1028]) ).
thf(1090,plain,
! [SV35: allegorical_term_b,SV106: produc1478835367term_b] :
( ( ( ! [SY362: allegorical_term_b] :
( SV106
!= ( produc1990145943term_b @ SY362 @ SV35 ) ) )
= $true )
| ( ( ~ ( ( SV35
!= ( produc1223098053term_b @ SV106 ) )
| ~ ~ ! [SY362: allegorical_term_b] :
( SV106
!= ( produc1990145943term_b @ SY362 @ SV35 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1029]) ).
thf(1091,plain,
! [SV186: labeled_graph_b_nat,SV159: labeled_graph_b_nat,SV110: labeled_graph_b_nat,SV39: labeled_graph_b_nat] :
( ( ( ( ( produc951298923_b_nat @ SV39 @ SV110 )
= ( produc951298923_b_nat @ SV159 @ SV186 ) )
| ~ ( ( SV39 != SV159 )
| ( SV110 != SV186 ) ) )
= $false )
| ( ( ~ ( ( ( produc951298923_b_nat @ SV39 @ SV110 )
!= ( produc951298923_b_nat @ SV159 @ SV186 ) )
| ~ ~ ( ( SV39 != SV159 )
| ( SV110 != SV186 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1031]) ).
thf(1092,plain,
! [SV112: produc1478835367term_b,SV41: allegorical_term_b] :
( ( ( ( SV41
!= ( produc854192515term_b @ SV112 ) )
| ~ ~ ! [SY367: allegorical_term_b] :
( SV112
!= ( produc1990145943term_b @ SV41 @ SY367 ) ) )
= $false )
| ( ( SV41
= ( produc854192515term_b @ SV112 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1032]) ).
thf(1093,plain,
! [SV41: allegorical_term_b,SV112: produc1478835367term_b] :
( ( ( ! [SY367: allegorical_term_b] :
( SV112
!= ( produc1990145943term_b @ SV41 @ SY367 ) ) )
= $true )
| ( ( ~ ( ( SV41
!= ( produc854192515term_b @ SV112 ) )
| ~ ~ ! [SY367: allegorical_term_b] :
( SV112
!= ( produc1990145943term_b @ SV41 @ SY367 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1033]) ).
thf(1094,plain,
! [SV200: set_Pr1986765409at_nat,SV187: labeled_graph_b_nat,SV161: set_Pr1986765409at_nat,SV114: labeled_graph_b_nat,SV43: labeled_graph_b_nat] :
( ( ( graph_529870330at_nat @ SV43 @ SV114 @ SV161 )
= $false )
| ( ( ~ ( graph_529870330at_nat @ SV114 @ SV187 @ SV200 )
| ( graph_529870330at_nat @ SV43 @ SV187 @ ( relcomp_nat_nat_nat @ SV161 @ SV200 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1035]) ).
thf(1095,plain,
! [SV44: labeled_graph_b_nat,SV162: labeled_graph_b_nat,SV115: labeled_graph_b_nat] :
( ( ( graph_529870330at_nat @ SV115 @ SV162 @ ( id_on_nat @ ( labele460410879_b_nat @ SV115 ) ) )
= $false )
| ( ( graph_529870330at_nat @ SV44 @ SV162 @ ( id_on_nat @ ( labele460410879_b_nat @ SV44 ) ) )
= $true )
| ( ( graph_529870330at_nat @ SV44 @ SV115 @ ( id_on_nat @ ( labele460410879_b_nat @ SV44 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1036]) ).
thf(1096,plain,
! [SV116: set_nat,SV45: set_nat] :
( ( ( finite_finite_nat @ SV45 )
= $true )
| ( ( ~ ( finite_finite_nat @ SV116 ) )
= $true )
| ( ( ord_less_eq_set_nat @ SV45 @ SV116 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1037]) ).
thf(1097,plain,
! [SV117: set_Pr9961929at_nat,SV46: set_Pr9961929at_nat] :
( ( ( finite1987068434at_nat @ SV46 )
= $true )
| ( ( ~ ( finite1987068434at_nat @ SV117 ) )
= $true )
| ( ( ord_le910748009at_nat @ SV46 @ SV117 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1038]) ).
thf(1098,plain,
! [SV188: allegorical_term_b,SV120: allegorical_term_b,SV164: allegorical_term_b,SV51: allegorical_term_b] :
( ( ( ( SV51 != SV164 )
| ( SV120 != SV188 ) )
= $false )
| ( ( ( produc1990145943term_b @ SV51 @ SV120 )
= ( produc1990145943term_b @ SV164 @ SV188 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1040]) ).
thf(1099,plain,
! [SV122: produc1478835367term_b,SV53: allegorical_term_b > allegorical_term_b > $o] :
( ( ( ~ ( SV53 @ ( sK19_SY442 @ SV122 @ SV53 ) @ ( sK13_SY280 @ SV122 @ SV53 ) ) )
= $false )
| ( ( SV53 @ ( produc1223098053term_b @ SV122 ) @ ( produc854192515term_b @ SV122 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1041]) ).
thf(1100,plain,
! [SV123: labeled_graph_b_nat,SV189: set_Pr1986765409at_nat,SV54: labeled_graph_b_nat,SV166: labeled_graph_b_nat] :
( ( ( ~ ( graph_529870330at_nat @ SV166 @ SV54 @ SV189 ) )
= $true )
| ( ( graph_529870330at_nat @ SV166 @ SV123 @ SV189 )
= $true )
| ( ( graph_529870330at_nat @ SV54 @ SV123 @ ( id_on_nat @ ( labele460410879_b_nat @ SV54 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1042]) ).
thf(1101,plain,
! [SV190: allegorical_term_b,SV167: allegorical_term_b,SV124: allegorical_term_b,SV55: allegorical_term_b] :
( ( ( ( ( produc1990145943term_b @ SV55 @ SV124 )
= ( produc1990145943term_b @ SV167 @ SV190 ) )
| ~ ( ( SV55 != SV167 )
| ( SV124 != SV190 ) ) )
= $false )
| ( ( ~ ( ( ( produc1990145943term_b @ SV55 @ SV124 )
!= ( produc1990145943term_b @ SV167 @ SV190 ) )
| ~ ~ ( ( SV55 != SV167 )
| ( SV124 != SV190 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1043]) ).
thf(1102,plain,
! [SV126: produc1478835367term_b,SV57: produc1478835367term_b] :
( ( ( ( produc854192515term_b @ SV57 )
= ( produc854192515term_b @ SV126 ) )
= $false )
| ( ( ( produc1223098053term_b @ SV57 )
!= ( produc1223098053term_b @ SV126 ) )
= $true )
| ( ( SV57 = SV126 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1044]) ).
thf(1103,plain,
! [SV61: labeled_graph_b_nat > labeled_graph_b_nat > $o,SV170: labeled_graph_b_nat,SV129: labeled_graph_b_nat,SV191: produc1235635379_b_nat] :
( ( ( SV191
!= ( produc951298923_b_nat @ SV129 @ SV170 ) )
= $true )
| ( ( SV61 @ ( produc1542243159_b_nat @ SV191 ) @ ( produc194497945_b_nat @ SV191 ) )
= $true )
| ( ( SV61 @ SV129 @ SV170 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1045]) ).
thf(1104,plain,
! [SV130: produc1235635379_b_nat,SV62: produc1235635379_b_nat] :
( ( ( ( produc1542243159_b_nat @ SV62 )
= ( produc1542243159_b_nat @ SV130 ) )
= $false )
| ( ( ( produc194497945_b_nat @ SV62 )
!= ( produc194497945_b_nat @ SV130 ) )
= $true )
| ( ( SV62 = SV130 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1046]) ).
thf(1105,plain,
! [SV131: produc1235635379_b_nat,SV63: labeled_graph_b_nat > labeled_graph_b_nat > $o] :
( ( ( ~ ( SV63 @ ( sK20_SY443 @ SV131 @ SV63 ) @ ( sK14_SY301 @ SV131 @ SV63 ) ) )
= $false )
| ( ( SV63 @ ( produc194497945_b_nat @ SV131 ) @ ( produc1542243159_b_nat @ SV131 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1047]) ).
thf(1106,plain,
! [SV192: allegorical_term_b,SV171: allegorical_term_b,SV132: allegorical_term_b,SV65: allegorical_term_b] :
( ( ( ( ( allegorical_A_Int_b @ SV65 @ SV132 )
= ( allegorical_A_Int_b @ SV171 @ SV192 ) )
| ~ ( ( SV65 != SV171 )
| ( SV132 != SV192 ) ) )
= $false )
| ( ( ~ ( ( ( allegorical_A_Int_b @ SV65 @ SV132 )
!= ( allegorical_A_Int_b @ SV171 @ SV192 ) )
| ~ ~ ( ( SV65 != SV171 )
| ( SV132 != SV192 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1048]) ).
thf(1107,plain,
! [SV66: b] :
( ( ~ ( ~ ( graph_529870330at_nat @ ( produc1542243159_b_nat @ ( standa1329480013rule_b @ SV66 ) ) @ ( produc194497945_b_nat @ ( standa1329480013rule_b @ SV66 ) ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ ( standa1329480013rule_b @ SV66 ) ) ) ) )
| ( ( produc194497945_b_nat @ ( standa1329480013rule_b @ SV66 ) )
!= ( restrict_b_nat @ ( produc194497945_b_nat @ ( standa1329480013rule_b @ SV66 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1049]) ).
thf(1108,plain,
! [SV66: b] :
( ( finite_finite_nat @ ( labele460410879_b_nat @ ( produc194497945_b_nat @ ( standa1329480013rule_b @ SV66 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1050]) ).
thf(1109,plain,
! [SV67: b] :
( ( ~ ( ~ ( graph_529870330at_nat @ ( produc1542243159_b_nat @ ( standa1360217389rule_b @ SV67 ) ) @ ( produc194497945_b_nat @ ( standa1360217389rule_b @ SV67 ) ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ ( standa1360217389rule_b @ SV67 ) ) ) ) )
| ( ( produc194497945_b_nat @ ( standa1360217389rule_b @ SV67 ) )
!= ( restrict_b_nat @ ( produc194497945_b_nat @ ( standa1360217389rule_b @ SV67 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1051]) ).
thf(1110,plain,
! [SV67: b] :
( ( finite_finite_nat @ ( labele460410879_b_nat @ ( produc194497945_b_nat @ ( standa1360217389rule_b @ SV67 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1052]) ).
thf(1111,plain,
! [SV134: produc1235635379_b_nat,SV69: labeled_graph_b_nat] :
( ( ( ( SV69
!= ( produc194497945_b_nat @ SV134 ) )
| ~ ~ ! [SY392: labeled_graph_b_nat] :
( SV134
!= ( produc951298923_b_nat @ SY392 @ SV69 ) ) )
= $false )
| ( ( SV69
= ( produc194497945_b_nat @ SV134 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1054]) ).
thf(1112,plain,
! [SV69: labeled_graph_b_nat,SV134: produc1235635379_b_nat] :
( ( ( ! [SY392: labeled_graph_b_nat] :
( SV134
!= ( produc951298923_b_nat @ SY392 @ SV69 ) ) )
= $true )
| ( ( ~ ( ( SV69
!= ( produc194497945_b_nat @ SV134 ) )
| ~ ~ ! [SY392: labeled_graph_b_nat] :
( SV134
!= ( produc951298923_b_nat @ SY392 @ SV69 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1055]) ).
thf(1113,plain,
! [SV193: produc1235635379_b_nat,SV137: produc1235635379_b_nat] :
( ( ( ( SV137 = SV193 )
| ~ ( ( ( produc1542243159_b_nat @ SV137 )
!= ( produc1542243159_b_nat @ SV193 ) )
| ( ( produc194497945_b_nat @ SV137 )
!= ( produc194497945_b_nat @ SV193 ) ) ) )
= $false )
| ( ( ~ ( ( SV137 != SV193 )
| ~ ~ ( ( ( produc1542243159_b_nat @ SV137 )
!= ( produc1542243159_b_nat @ SV193 ) )
| ( ( produc194497945_b_nat @ SV137 )
!= ( produc194497945_b_nat @ SV193 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1057]) ).
thf(1114,plain,
! [SV138: labeled_graph_b_nat,SV73: labeled_graph_b_nat > $o,SV194: labeled_graph_b_nat,SV174: labeled_graph_b_nat > $o] :
( ( ( ~ ( SV174 @ SV194 ) )
= $true )
| ( ( ~ ( ~ ( SV73 @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ SV138 @ SV194 ) ) )
| ~ ( SV174 @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ SV138 @ SV194 ) ) ) ) )
= $true )
| ( ( SV73 @ SV138 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1058]) ).
thf(1115,plain,
! [SV195: allegorical_term_b,SV175: allegorical_term_b,SV139: allegorical_term_b,SV74: allegorical_term_b] :
( ( ( ( ( produc1990145943term_b @ SV74 @ SV139 )
= ( produc1990145943term_b @ SV175 @ SV195 ) )
| ~ ( ( SV74 != SV175 )
| ( SV139 != SV195 ) ) )
= $false )
| ( ( ~ ( ( ( produc1990145943term_b @ SV74 @ SV139 )
!= ( produc1990145943term_b @ SV175 @ SV195 ) )
| ~ ~ ( ( SV74 != SV175 )
| ( SV139 != SV195 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1059]) ).
thf(1116,plain,
! [SV140: labeled_graph_b_nat,SV75: labeled_graph_b_nat] :
( ( ( ( labeled_edges_b_nat @ SV75 )
= ( labeled_edges_b_nat @ SV140 ) )
= $false )
| ( ( ( labele460410879_b_nat @ SV75 )
!= ( labele460410879_b_nat @ SV140 ) )
= $true )
| ( ( SV75 = SV140 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1060]) ).
thf(1117,plain,
! [SV142: allegorical_term_b,SV78: allegorical_term_b > $o,SV196: allegorical_term_b,SV177: allegorical_term_b > $o] :
( ( ( ~ ( SV177 @ SV196 ) )
= $true )
| ( ( ~ ( ~ ( SV78 @ ( produc854192515term_b @ ( produc1990145943term_b @ SV142 @ SV196 ) ) )
| ~ ( SV177 @ ( produc1223098053term_b @ ( produc1990145943term_b @ SV142 @ SV196 ) ) ) ) )
= $true )
| ( ( SV78 @ SV142 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1061]) ).
thf(1118,plain,
! [SV197: produc1478835367term_b,SV143: produc1478835367term_b] :
( ( ( ( SV143 = SV197 )
| ~ ( ( ( produc854192515term_b @ SV143 )
!= ( produc854192515term_b @ SV197 ) )
| ( ( produc1223098053term_b @ SV143 )
!= ( produc1223098053term_b @ SV197 ) ) ) )
= $false )
| ( ( ~ ( ( SV143 != SV197 )
| ~ ~ ( ( ( produc854192515term_b @ SV143 )
!= ( produc854192515term_b @ SV197 ) )
| ( ( produc1223098053term_b @ SV143 )
!= ( produc1223098053term_b @ SV197 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1062]) ).
thf(1119,plain,
! [SV147: labeled_graph_b_nat,SV83: labeled_graph_b_nat] :
( ( ( ~ ( graph_529870330at_nat @ SV83 @ SV147 @ ( id_on_nat @ ( labele460410879_b_nat @ SV83 ) ) )
| ~ ~ ( ~ ~ ( ( SV83
!= ( restrict_b_nat @ SV83 ) )
| ( SV147
!= ( restrict_b_nat @ SV147 ) ) )
| ( ( graph_union_b_nat @ SV83 @ SV147 )
!= SV147 ) ) )
= $false )
| ( ( graph_529870330at_nat @ SV83 @ SV147 @ ( id_on_nat @ ( labele460410879_b_nat @ SV83 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1065]) ).
thf(1120,plain,
! [SV147: labeled_graph_b_nat,SV83: labeled_graph_b_nat] :
( ( ( ~ ~ ( ( SV83
!= ( restrict_b_nat @ SV83 ) )
| ( SV147
!= ( restrict_b_nat @ SV147 ) ) )
| ( ( graph_union_b_nat @ SV83 @ SV147 )
!= SV147 ) )
= $true )
| ( ( ~ ( ~ ( graph_529870330at_nat @ SV83 @ SV147 @ ( id_on_nat @ ( labele460410879_b_nat @ SV83 ) ) )
| ~ ~ ( ~ ~ ( ( SV83
!= ( restrict_b_nat @ SV83 ) )
| ( SV147
!= ( restrict_b_nat @ SV147 ) ) )
| ( ( graph_union_b_nat @ SV83 @ SV147 )
!= SV147 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1066]) ).
thf(1121,plain,
! [SV85: produc1478835367term_b] :
( ( SV85
= ( produc1990145943term_b @ ( sK4_SY340 @ SV85 ) @ ( sK17_SY434 @ SV85 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1068]) ).
thf(1122,plain,
! [SV198: labeled_graph_b_nat,SV149: labeled_graph_b_nat,SV180: labeled_graph_b_nat,SV86: labeled_graph_b_nat] :
( ( ( ( SV86 != SV180 )
| ( SV149 != SV198 ) )
= $false )
| ( ( ( produc951298923_b_nat @ SV86 @ SV149 )
= ( produc951298923_b_nat @ SV180 @ SV198 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1069]) ).
thf(1123,plain,
! [SV150: allegorical_term_b,SV87: allegorical_term_b] :
( ( ~ ~ ( ~ ( graph_529870330at_nat @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV87 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV87 @ SV150 ) ) ) ) @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV87 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV87 @ SV150 ) ) ) ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV87 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV87 @ SV150 ) ) ) ) ) ) )
| ( ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV87 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV87 @ SV150 ) ) ) )
!= ( restrict_b_nat @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV87 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV87 @ SV150 ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1070]) ).
thf(1124,plain,
! [SV150: allegorical_term_b,SV87: allegorical_term_b] :
( ( ~ ( finite_finite_nat @ ( labele460410879_b_nat @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV87 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV87 @ SV150 ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1070]) ).
thf(1125,plain,
! [SV181: set_Pr1163220871term_b,SV88: allegorical_term_b,SV151: allegorical_term_b,SV199: allegorical_term_b] :
( ( ( SV199 != SV151 )
= $true )
| ( ( member516522448term_b @ ( produc1990145943term_b @ SV88 @ SV199 ) @ SV181 )
= $true )
| ( ( member516522448term_b @ ( produc1990145943term_b @ SV88 @ SV151 ) @ SV181 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1071]) ).
thf(1126,plain,
( ( ~ ( graph_529870330at_nat @ ( produc1542243159_b_nat @ standa879863266rule_b ) @ ( produc194497945_b_nat @ standa879863266rule_b ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ standa879863266rule_b ) ) ) )
| ( ( produc194497945_b_nat @ standa879863266rule_b )
!= ( restrict_b_nat @ ( produc194497945_b_nat @ standa879863266rule_b ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1073]) ).
thf(1127,plain,
! [SV1: labeled_graph_b_nat] :
( ( ( graph_529870330at_nat @ SV1 @ SV1 @ ( id_on_nat @ ( labele460410879_b_nat @ SV1 ) ) )
= $true )
| ( ( graph_529870330at_nat @ SV1 @ SV1 @ ( id_on_nat @ ( labele460410879_b_nat @ SV1 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1075]) ).
thf(1128,plain,
! [SV1: labeled_graph_b_nat] :
( ( ( SV1
= ( restrict_b_nat @ SV1 ) )
= $true )
| ( ( graph_529870330at_nat @ SV1 @ SV1 @ ( id_on_nat @ ( labele460410879_b_nat @ SV1 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1076]) ).
thf(1129,plain,
! [SV1: labeled_graph_b_nat] :
( ( ( graph_529870330at_nat @ SV1 @ SV1 @ ( id_on_nat @ ( labele460410879_b_nat @ SV1 ) ) )
= $true )
| ( ( SV1
= ( restrict_b_nat @ SV1 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1077]) ).
thf(1130,plain,
! [SV1: labeled_graph_b_nat] :
( ( ( SV1
= ( restrict_b_nat @ SV1 ) )
= $true )
| ( ( SV1
= ( restrict_b_nat @ SV1 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1078]) ).
thf(1131,plain,
! [SV2: labeled_graph_b_nat] :
( ( ( graph_529870330at_nat @ SV2 @ ( restrict_b_nat @ SV2 ) @ ( id_on_nat @ ( labele460410879_b_nat @ SV2 ) ) )
= $true )
| ( ( graph_529870330at_nat @ SV2 @ ( restrict_b_nat @ SV2 ) @ ( id_on_nat @ ( labele460410879_b_nat @ SV2 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1079]) ).
thf(1132,plain,
! [SV2: labeled_graph_b_nat] :
( ( ( SV2
= ( restrict_b_nat @ SV2 ) )
= $true )
| ( ( graph_529870330at_nat @ SV2 @ ( restrict_b_nat @ SV2 ) @ ( id_on_nat @ ( labele460410879_b_nat @ SV2 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1080]) ).
thf(1133,plain,
! [SV2: labeled_graph_b_nat] :
( ( ( graph_529870330at_nat @ SV2 @ ( restrict_b_nat @ SV2 ) @ ( id_on_nat @ ( labele460410879_b_nat @ SV2 ) ) )
= $true )
| ( ( SV2
= ( restrict_b_nat @ SV2 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1081]) ).
thf(1134,plain,
! [SV2: labeled_graph_b_nat] :
( ( ( SV2
= ( restrict_b_nat @ SV2 ) )
= $true )
| ( ( SV2
= ( restrict_b_nat @ SV2 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1082]) ).
thf(1135,plain,
! [SV27: allegorical_term_b > allegorical_term_b > $o,SV154: allegorical_term_b,SV98: allegorical_term_b,SV183: produc1478835367term_b] :
( ( ( SV183
= ( produc1990145943term_b @ SV98 @ SV154 ) )
= $false )
| ( ( SV27 @ ( produc854192515term_b @ SV183 ) @ ( produc1223098053term_b @ SV183 ) )
= $true )
| ( ( SV27 @ SV98 @ SV154 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1084]) ).
thf(1136,plain,
! [SV156: set_Pr551076371_b_nat,SV31: labeled_graph_b_nat,SV102: labeled_graph_b_nat,SV184: labeled_graph_b_nat] :
( ( ( SV184 = SV102 )
= $false )
| ( ( member963855452_b_nat @ ( produc951298923_b_nat @ SV31 @ SV184 ) @ SV156 )
= $true )
| ( ( member963855452_b_nat @ ( produc951298923_b_nat @ SV31 @ SV102 ) @ SV156 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1085]) ).
thf(1137,plain,
! [SV103: produc1235635379_b_nat,SV32: labeled_graph_b_nat] :
( ( ( SV32
!= ( produc1542243159_b_nat @ SV103 ) )
= $false )
| ( ( SV32
= ( produc1542243159_b_nat @ SV103 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1086]) ).
thf(1138,plain,
! [SV32: labeled_graph_b_nat,SV103: produc1235635379_b_nat] :
( ( ( ~ ~ ! [SY359: labeled_graph_b_nat] :
( SV103
!= ( produc951298923_b_nat @ SV32 @ SY359 ) ) )
= $false )
| ( ( SV32
= ( produc1542243159_b_nat @ SV103 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1086]) ).
thf(1139,plain,
! [SV201: labeled_graph_b_nat,SV32: labeled_graph_b_nat,SV103: produc1235635379_b_nat] :
( ( ( SV103
!= ( produc951298923_b_nat @ SV32 @ SV201 ) )
= $true )
| ( ( ~ ( ( SV32
!= ( produc1542243159_b_nat @ SV103 ) )
| ~ ~ ! [SY359: labeled_graph_b_nat] :
( SV103
!= ( produc951298923_b_nat @ SV32 @ SY359 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1087]) ).
thf(1140,plain,
! [SV185: labeled_graph_b_nat,SV157: labeled_graph_b_nat,SV104: labeled_graph_b_nat,SV33: labeled_graph_b_nat] :
( ( ( ( produc951298923_b_nat @ SV33 @ SV104 )
= ( produc951298923_b_nat @ SV157 @ SV185 ) )
= $false )
| ( ( ~ ( ( ( produc951298923_b_nat @ SV33 @ SV104 )
!= ( produc951298923_b_nat @ SV157 @ SV185 ) )
| ~ ~ ( ( SV33 != SV157 )
| ( SV104 != SV185 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1088]) ).
thf(1141,plain,
! [SV185: labeled_graph_b_nat,SV104: labeled_graph_b_nat,SV157: labeled_graph_b_nat,SV33: labeled_graph_b_nat] :
( ( ( ~ ( ( SV33 != SV157 )
| ( SV104 != SV185 ) ) )
= $false )
| ( ( ~ ( ( ( produc951298923_b_nat @ SV33 @ SV104 )
!= ( produc951298923_b_nat @ SV157 @ SV185 ) )
| ~ ~ ( ( SV33 != SV157 )
| ( SV104 != SV185 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1088]) ).
thf(1142,plain,
! [SV106: produc1478835367term_b,SV35: allegorical_term_b] :
( ( ( SV35
!= ( produc1223098053term_b @ SV106 ) )
= $false )
| ( ( SV35
= ( produc1223098053term_b @ SV106 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1089]) ).
thf(1143,plain,
! [SV35: allegorical_term_b,SV106: produc1478835367term_b] :
( ( ( ~ ~ ! [SY362: allegorical_term_b] :
( SV106
!= ( produc1990145943term_b @ SY362 @ SV35 ) ) )
= $false )
| ( ( SV35
= ( produc1223098053term_b @ SV106 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1089]) ).
thf(1144,plain,
! [SV35: allegorical_term_b,SV202: allegorical_term_b,SV106: produc1478835367term_b] :
( ( ( SV106
!= ( produc1990145943term_b @ SV202 @ SV35 ) )
= $true )
| ( ( ~ ( ( SV35
!= ( produc1223098053term_b @ SV106 ) )
| ~ ~ ! [SY362: allegorical_term_b] :
( SV106
!= ( produc1990145943term_b @ SY362 @ SV35 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1090]) ).
thf(1145,plain,
! [SV186: labeled_graph_b_nat,SV159: labeled_graph_b_nat,SV110: labeled_graph_b_nat,SV39: labeled_graph_b_nat] :
( ( ( ( produc951298923_b_nat @ SV39 @ SV110 )
= ( produc951298923_b_nat @ SV159 @ SV186 ) )
= $false )
| ( ( ~ ( ( ( produc951298923_b_nat @ SV39 @ SV110 )
!= ( produc951298923_b_nat @ SV159 @ SV186 ) )
| ~ ~ ( ( SV39 != SV159 )
| ( SV110 != SV186 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1091]) ).
thf(1146,plain,
! [SV186: labeled_graph_b_nat,SV110: labeled_graph_b_nat,SV159: labeled_graph_b_nat,SV39: labeled_graph_b_nat] :
( ( ( ~ ( ( SV39 != SV159 )
| ( SV110 != SV186 ) ) )
= $false )
| ( ( ~ ( ( ( produc951298923_b_nat @ SV39 @ SV110 )
!= ( produc951298923_b_nat @ SV159 @ SV186 ) )
| ~ ~ ( ( SV39 != SV159 )
| ( SV110 != SV186 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1091]) ).
thf(1147,plain,
! [SV112: produc1478835367term_b,SV41: allegorical_term_b] :
( ( ( SV41
!= ( produc854192515term_b @ SV112 ) )
= $false )
| ( ( SV41
= ( produc854192515term_b @ SV112 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1092]) ).
thf(1148,plain,
! [SV41: allegorical_term_b,SV112: produc1478835367term_b] :
( ( ( ~ ~ ! [SY367: allegorical_term_b] :
( SV112
!= ( produc1990145943term_b @ SV41 @ SY367 ) ) )
= $false )
| ( ( SV41
= ( produc854192515term_b @ SV112 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1092]) ).
thf(1149,plain,
! [SV203: allegorical_term_b,SV41: allegorical_term_b,SV112: produc1478835367term_b] :
( ( ( SV112
!= ( produc1990145943term_b @ SV41 @ SV203 ) )
= $true )
| ( ( ~ ( ( SV41
!= ( produc854192515term_b @ SV112 ) )
| ~ ~ ! [SY367: allegorical_term_b] :
( SV112
!= ( produc1990145943term_b @ SV41 @ SY367 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1093]) ).
thf(1150,plain,
! [SV161: set_Pr1986765409at_nat,SV43: labeled_graph_b_nat,SV200: set_Pr1986765409at_nat,SV187: labeled_graph_b_nat,SV114: labeled_graph_b_nat] :
( ( ( ~ ( graph_529870330at_nat @ SV114 @ SV187 @ SV200 ) )
= $true )
| ( ( graph_529870330at_nat @ SV43 @ SV187 @ ( relcomp_nat_nat_nat @ SV161 @ SV200 ) )
= $true )
| ( ( graph_529870330at_nat @ SV43 @ SV114 @ SV161 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1094]) ).
thf(1151,plain,
! [SV45: set_nat,SV116: set_nat] :
( ( ( finite_finite_nat @ SV116 )
= $false )
| ( ( finite_finite_nat @ SV45 )
= $true )
| ( ( ord_less_eq_set_nat @ SV45 @ SV116 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1096]) ).
thf(1152,plain,
! [SV46: set_Pr9961929at_nat,SV117: set_Pr9961929at_nat] :
( ( ( finite1987068434at_nat @ SV117 )
= $false )
| ( ( finite1987068434at_nat @ SV46 )
= $true )
| ( ( ord_le910748009at_nat @ SV46 @ SV117 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1097]) ).
thf(1153,plain,
! [SV188: allegorical_term_b,SV120: allegorical_term_b,SV164: allegorical_term_b,SV51: allegorical_term_b] :
( ( ( SV51 != SV164 )
= $false )
| ( ( ( produc1990145943term_b @ SV51 @ SV120 )
= ( produc1990145943term_b @ SV164 @ SV188 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1098]) ).
thf(1154,plain,
! [SV164: allegorical_term_b,SV51: allegorical_term_b,SV188: allegorical_term_b,SV120: allegorical_term_b] :
( ( ( SV120 != SV188 )
= $false )
| ( ( ( produc1990145943term_b @ SV51 @ SV120 )
= ( produc1990145943term_b @ SV164 @ SV188 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1098]) ).
thf(1155,plain,
! [SV122: produc1478835367term_b,SV53: allegorical_term_b > allegorical_term_b > $o] :
( ( ( SV53 @ ( sK19_SY442 @ SV122 @ SV53 ) @ ( sK13_SY280 @ SV122 @ SV53 ) )
= $true )
| ( ( SV53 @ ( produc1223098053term_b @ SV122 ) @ ( produc854192515term_b @ SV122 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1099]) ).
thf(1156,plain,
! [SV123: labeled_graph_b_nat,SV189: set_Pr1986765409at_nat,SV54: labeled_graph_b_nat,SV166: labeled_graph_b_nat] :
( ( ( graph_529870330at_nat @ SV166 @ SV54 @ SV189 )
= $false )
| ( ( graph_529870330at_nat @ SV166 @ SV123 @ SV189 )
= $true )
| ( ( graph_529870330at_nat @ SV54 @ SV123 @ ( id_on_nat @ ( labele460410879_b_nat @ SV54 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1100]) ).
thf(1157,plain,
! [SV190: allegorical_term_b,SV167: allegorical_term_b,SV124: allegorical_term_b,SV55: allegorical_term_b] :
( ( ( ( produc1990145943term_b @ SV55 @ SV124 )
= ( produc1990145943term_b @ SV167 @ SV190 ) )
= $false )
| ( ( ~ ( ( ( produc1990145943term_b @ SV55 @ SV124 )
!= ( produc1990145943term_b @ SV167 @ SV190 ) )
| ~ ~ ( ( SV55 != SV167 )
| ( SV124 != SV190 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1101]) ).
thf(1158,plain,
! [SV190: allegorical_term_b,SV124: allegorical_term_b,SV167: allegorical_term_b,SV55: allegorical_term_b] :
( ( ( ~ ( ( SV55 != SV167 )
| ( SV124 != SV190 ) ) )
= $false )
| ( ( ~ ( ( ( produc1990145943term_b @ SV55 @ SV124 )
!= ( produc1990145943term_b @ SV167 @ SV190 ) )
| ~ ~ ( ( SV55 != SV167 )
| ( SV124 != SV190 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1101]) ).
thf(1159,plain,
! [SV126: produc1478835367term_b,SV57: produc1478835367term_b] :
( ( ( ( produc1223098053term_b @ SV57 )
= ( produc1223098053term_b @ SV126 ) )
= $false )
| ( ( ( produc854192515term_b @ SV57 )
= ( produc854192515term_b @ SV126 ) )
= $false )
| ( ( SV57 = SV126 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1102]) ).
thf(1160,plain,
! [SV61: labeled_graph_b_nat > labeled_graph_b_nat > $o,SV170: labeled_graph_b_nat,SV129: labeled_graph_b_nat,SV191: produc1235635379_b_nat] :
( ( ( SV191
= ( produc951298923_b_nat @ SV129 @ SV170 ) )
= $false )
| ( ( SV61 @ ( produc1542243159_b_nat @ SV191 ) @ ( produc194497945_b_nat @ SV191 ) )
= $true )
| ( ( SV61 @ SV129 @ SV170 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1103]) ).
thf(1161,plain,
! [SV130: produc1235635379_b_nat,SV62: produc1235635379_b_nat] :
( ( ( ( produc194497945_b_nat @ SV62 )
= ( produc194497945_b_nat @ SV130 ) )
= $false )
| ( ( ( produc1542243159_b_nat @ SV62 )
= ( produc1542243159_b_nat @ SV130 ) )
= $false )
| ( ( SV62 = SV130 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1104]) ).
thf(1162,plain,
! [SV131: produc1235635379_b_nat,SV63: labeled_graph_b_nat > labeled_graph_b_nat > $o] :
( ( ( SV63 @ ( sK20_SY443 @ SV131 @ SV63 ) @ ( sK14_SY301 @ SV131 @ SV63 ) )
= $true )
| ( ( SV63 @ ( produc194497945_b_nat @ SV131 ) @ ( produc1542243159_b_nat @ SV131 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1105]) ).
thf(1163,plain,
! [SV192: allegorical_term_b,SV171: allegorical_term_b,SV132: allegorical_term_b,SV65: allegorical_term_b] :
( ( ( ( allegorical_A_Int_b @ SV65 @ SV132 )
= ( allegorical_A_Int_b @ SV171 @ SV192 ) )
= $false )
| ( ( ~ ( ( ( allegorical_A_Int_b @ SV65 @ SV132 )
!= ( allegorical_A_Int_b @ SV171 @ SV192 ) )
| ~ ~ ( ( SV65 != SV171 )
| ( SV132 != SV192 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1106]) ).
thf(1164,plain,
! [SV192: allegorical_term_b,SV132: allegorical_term_b,SV171: allegorical_term_b,SV65: allegorical_term_b] :
( ( ( ~ ( ( SV65 != SV171 )
| ( SV132 != SV192 ) ) )
= $false )
| ( ( ~ ( ( ( allegorical_A_Int_b @ SV65 @ SV132 )
!= ( allegorical_A_Int_b @ SV171 @ SV192 ) )
| ~ ~ ( ( SV65 != SV171 )
| ( SV132 != SV192 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1106]) ).
thf(1165,plain,
! [SV66: b] :
( ( ~ ( graph_529870330at_nat @ ( produc1542243159_b_nat @ ( standa1329480013rule_b @ SV66 ) ) @ ( produc194497945_b_nat @ ( standa1329480013rule_b @ SV66 ) ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ ( standa1329480013rule_b @ SV66 ) ) ) ) )
| ( ( produc194497945_b_nat @ ( standa1329480013rule_b @ SV66 ) )
!= ( restrict_b_nat @ ( produc194497945_b_nat @ ( standa1329480013rule_b @ SV66 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1107]) ).
thf(1166,plain,
! [SV67: b] :
( ( ~ ( graph_529870330at_nat @ ( produc1542243159_b_nat @ ( standa1360217389rule_b @ SV67 ) ) @ ( produc194497945_b_nat @ ( standa1360217389rule_b @ SV67 ) ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ ( standa1360217389rule_b @ SV67 ) ) ) ) )
| ( ( produc194497945_b_nat @ ( standa1360217389rule_b @ SV67 ) )
!= ( restrict_b_nat @ ( produc194497945_b_nat @ ( standa1360217389rule_b @ SV67 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1109]) ).
thf(1167,plain,
! [SV134: produc1235635379_b_nat,SV69: labeled_graph_b_nat] :
( ( ( SV69
!= ( produc194497945_b_nat @ SV134 ) )
= $false )
| ( ( SV69
= ( produc194497945_b_nat @ SV134 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1111]) ).
thf(1168,plain,
! [SV69: labeled_graph_b_nat,SV134: produc1235635379_b_nat] :
( ( ( ~ ~ ! [SY392: labeled_graph_b_nat] :
( SV134
!= ( produc951298923_b_nat @ SY392 @ SV69 ) ) )
= $false )
| ( ( SV69
= ( produc194497945_b_nat @ SV134 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1111]) ).
thf(1169,plain,
! [SV69: labeled_graph_b_nat,SV204: labeled_graph_b_nat,SV134: produc1235635379_b_nat] :
( ( ( SV134
!= ( produc951298923_b_nat @ SV204 @ SV69 ) )
= $true )
| ( ( ~ ( ( SV69
!= ( produc194497945_b_nat @ SV134 ) )
| ~ ~ ! [SY392: labeled_graph_b_nat] :
( SV134
!= ( produc951298923_b_nat @ SY392 @ SV69 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1112]) ).
thf(1170,plain,
! [SV193: produc1235635379_b_nat,SV137: produc1235635379_b_nat] :
( ( ( SV137 = SV193 )
= $false )
| ( ( ~ ( ( SV137 != SV193 )
| ~ ~ ( ( ( produc1542243159_b_nat @ SV137 )
!= ( produc1542243159_b_nat @ SV193 ) )
| ( ( produc194497945_b_nat @ SV137 )
!= ( produc194497945_b_nat @ SV193 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1113]) ).
thf(1171,plain,
! [SV193: produc1235635379_b_nat,SV137: produc1235635379_b_nat] :
( ( ( ~ ( ( ( produc1542243159_b_nat @ SV137 )
!= ( produc1542243159_b_nat @ SV193 ) )
| ( ( produc194497945_b_nat @ SV137 )
!= ( produc194497945_b_nat @ SV193 ) ) ) )
= $false )
| ( ( ~ ( ( SV137 != SV193 )
| ~ ~ ( ( ( produc1542243159_b_nat @ SV137 )
!= ( produc1542243159_b_nat @ SV193 ) )
| ( ( produc194497945_b_nat @ SV137 )
!= ( produc194497945_b_nat @ SV193 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1113]) ).
thf(1172,plain,
! [SV138: labeled_graph_b_nat,SV73: labeled_graph_b_nat > $o,SV194: labeled_graph_b_nat,SV174: labeled_graph_b_nat > $o] :
( ( ( SV174 @ SV194 )
= $false )
| ( ( ~ ( ~ ( SV73 @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ SV138 @ SV194 ) ) )
| ~ ( SV174 @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ SV138 @ SV194 ) ) ) ) )
= $true )
| ( ( SV73 @ SV138 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1114]) ).
thf(1173,plain,
! [SV195: allegorical_term_b,SV175: allegorical_term_b,SV139: allegorical_term_b,SV74: allegorical_term_b] :
( ( ( ( produc1990145943term_b @ SV74 @ SV139 )
= ( produc1990145943term_b @ SV175 @ SV195 ) )
= $false )
| ( ( ~ ( ( ( produc1990145943term_b @ SV74 @ SV139 )
!= ( produc1990145943term_b @ SV175 @ SV195 ) )
| ~ ~ ( ( SV74 != SV175 )
| ( SV139 != SV195 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1115]) ).
thf(1174,plain,
! [SV195: allegorical_term_b,SV139: allegorical_term_b,SV175: allegorical_term_b,SV74: allegorical_term_b] :
( ( ( ~ ( ( SV74 != SV175 )
| ( SV139 != SV195 ) ) )
= $false )
| ( ( ~ ( ( ( produc1990145943term_b @ SV74 @ SV139 )
!= ( produc1990145943term_b @ SV175 @ SV195 ) )
| ~ ~ ( ( SV74 != SV175 )
| ( SV139 != SV195 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1115]) ).
thf(1175,plain,
! [SV140: labeled_graph_b_nat,SV75: labeled_graph_b_nat] :
( ( ( ( labele460410879_b_nat @ SV75 )
= ( labele460410879_b_nat @ SV140 ) )
= $false )
| ( ( ( labeled_edges_b_nat @ SV75 )
= ( labeled_edges_b_nat @ SV140 ) )
= $false )
| ( ( SV75 = SV140 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1116]) ).
thf(1176,plain,
! [SV142: allegorical_term_b,SV78: allegorical_term_b > $o,SV196: allegorical_term_b,SV177: allegorical_term_b > $o] :
( ( ( SV177 @ SV196 )
= $false )
| ( ( ~ ( ~ ( SV78 @ ( produc854192515term_b @ ( produc1990145943term_b @ SV142 @ SV196 ) ) )
| ~ ( SV177 @ ( produc1223098053term_b @ ( produc1990145943term_b @ SV142 @ SV196 ) ) ) ) )
= $true )
| ( ( SV78 @ SV142 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1117]) ).
thf(1177,plain,
! [SV197: produc1478835367term_b,SV143: produc1478835367term_b] :
( ( ( SV143 = SV197 )
= $false )
| ( ( ~ ( ( SV143 != SV197 )
| ~ ~ ( ( ( produc854192515term_b @ SV143 )
!= ( produc854192515term_b @ SV197 ) )
| ( ( produc1223098053term_b @ SV143 )
!= ( produc1223098053term_b @ SV197 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1118]) ).
thf(1178,plain,
! [SV197: produc1478835367term_b,SV143: produc1478835367term_b] :
( ( ( ~ ( ( ( produc854192515term_b @ SV143 )
!= ( produc854192515term_b @ SV197 ) )
| ( ( produc1223098053term_b @ SV143 )
!= ( produc1223098053term_b @ SV197 ) ) ) )
= $false )
| ( ( ~ ( ( SV143 != SV197 )
| ~ ~ ( ( ( produc854192515term_b @ SV143 )
!= ( produc854192515term_b @ SV197 ) )
| ( ( produc1223098053term_b @ SV143 )
!= ( produc1223098053term_b @ SV197 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1118]) ).
thf(1179,plain,
! [SV147: labeled_graph_b_nat,SV83: labeled_graph_b_nat] :
( ( ( ~ ( graph_529870330at_nat @ SV83 @ SV147 @ ( id_on_nat @ ( labele460410879_b_nat @ SV83 ) ) ) )
= $false )
| ( ( graph_529870330at_nat @ SV83 @ SV147 @ ( id_on_nat @ ( labele460410879_b_nat @ SV83 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1119]) ).
thf(1180,plain,
! [SV147: labeled_graph_b_nat,SV83: labeled_graph_b_nat] :
( ( ( ~ ~ ( ~ ~ ( ( SV83
!= ( restrict_b_nat @ SV83 ) )
| ( SV147
!= ( restrict_b_nat @ SV147 ) ) )
| ( ( graph_union_b_nat @ SV83 @ SV147 )
!= SV147 ) ) )
= $false )
| ( ( graph_529870330at_nat @ SV83 @ SV147 @ ( id_on_nat @ ( labele460410879_b_nat @ SV83 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1119]) ).
thf(1181,plain,
! [SV147: labeled_graph_b_nat,SV83: labeled_graph_b_nat] :
( ( ( ~ ~ ( ( SV83
!= ( restrict_b_nat @ SV83 ) )
| ( SV147
!= ( restrict_b_nat @ SV147 ) ) ) )
= $true )
| ( ( ( graph_union_b_nat @ SV83 @ SV147 )
!= SV147 )
= $true )
| ( ( ~ ( ~ ( graph_529870330at_nat @ SV83 @ SV147 @ ( id_on_nat @ ( labele460410879_b_nat @ SV83 ) ) )
| ~ ~ ( ~ ~ ( ( SV83
!= ( restrict_b_nat @ SV83 ) )
| ( SV147
!= ( restrict_b_nat @ SV147 ) ) )
| ( ( graph_union_b_nat @ SV83 @ SV147 )
!= SV147 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1120]) ).
thf(1182,plain,
! [SV198: labeled_graph_b_nat,SV149: labeled_graph_b_nat,SV180: labeled_graph_b_nat,SV86: labeled_graph_b_nat] :
( ( ( SV86 != SV180 )
= $false )
| ( ( ( produc951298923_b_nat @ SV86 @ SV149 )
= ( produc951298923_b_nat @ SV180 @ SV198 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1122]) ).
thf(1183,plain,
! [SV180: labeled_graph_b_nat,SV86: labeled_graph_b_nat,SV198: labeled_graph_b_nat,SV149: labeled_graph_b_nat] :
( ( ( SV149 != SV198 )
= $false )
| ( ( ( produc951298923_b_nat @ SV86 @ SV149 )
= ( produc951298923_b_nat @ SV180 @ SV198 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1122]) ).
thf(1184,plain,
! [SV150: allegorical_term_b,SV87: allegorical_term_b] :
( ( ~ ( ~ ( graph_529870330at_nat @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV87 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV87 @ SV150 ) ) ) ) @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV87 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV87 @ SV150 ) ) ) ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV87 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV87 @ SV150 ) ) ) ) ) ) )
| ( ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV87 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV87 @ SV150 ) ) ) )
!= ( restrict_b_nat @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV87 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV87 @ SV150 ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1123]) ).
thf(1185,plain,
! [SV150: allegorical_term_b,SV87: allegorical_term_b] :
( ( finite_finite_nat @ ( labele460410879_b_nat @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV87 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV87 @ SV150 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1124]) ).
thf(1186,plain,
! [SV181: set_Pr1163220871term_b,SV88: allegorical_term_b,SV151: allegorical_term_b,SV199: allegorical_term_b] :
( ( ( SV199 = SV151 )
= $false )
| ( ( member516522448term_b @ ( produc1990145943term_b @ SV88 @ SV199 ) @ SV181 )
= $true )
| ( ( member516522448term_b @ ( produc1990145943term_b @ SV88 @ SV151 ) @ SV181 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1125]) ).
thf(1187,plain,
( ( ~ ( graph_529870330at_nat @ ( produc1542243159_b_nat @ standa879863266rule_b ) @ ( produc194497945_b_nat @ standa879863266rule_b ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ standa879863266rule_b ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1126]) ).
thf(1188,plain,
( ( ( produc194497945_b_nat @ standa879863266rule_b )
!= ( restrict_b_nat @ ( produc194497945_b_nat @ standa879863266rule_b ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1126]) ).
thf(1189,plain,
! [SV103: produc1235635379_b_nat,SV32: labeled_graph_b_nat] :
( ( ( SV32
= ( produc1542243159_b_nat @ SV103 ) )
= $true )
| ( ( SV32
= ( produc1542243159_b_nat @ SV103 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1137]) ).
thf(1190,plain,
! [SV32: labeled_graph_b_nat,SV103: produc1235635379_b_nat] :
( ( ( ~ ! [SY359: labeled_graph_b_nat] :
( SV103
!= ( produc951298923_b_nat @ SV32 @ SY359 ) ) )
= $true )
| ( ( SV32
= ( produc1542243159_b_nat @ SV103 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1138]) ).
thf(1191,plain,
! [SV201: labeled_graph_b_nat,SV32: labeled_graph_b_nat,SV103: produc1235635379_b_nat] :
( ( ( SV103
= ( produc951298923_b_nat @ SV32 @ SV201 ) )
= $false )
| ( ( ~ ( ( SV32
!= ( produc1542243159_b_nat @ SV103 ) )
| ~ ~ ! [SY359: labeled_graph_b_nat] :
( SV103
!= ( produc951298923_b_nat @ SV32 @ SY359 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1139]) ).
thf(1192,plain,
! [SV185: labeled_graph_b_nat,SV157: labeled_graph_b_nat,SV104: labeled_graph_b_nat,SV33: labeled_graph_b_nat] :
( ( ( ( ( produc951298923_b_nat @ SV33 @ SV104 )
!= ( produc951298923_b_nat @ SV157 @ SV185 ) )
| ~ ~ ( ( SV33 != SV157 )
| ( SV104 != SV185 ) ) )
= $false )
| ( ( ( produc951298923_b_nat @ SV33 @ SV104 )
= ( produc951298923_b_nat @ SV157 @ SV185 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1140]) ).
thf(1193,plain,
! [SV185: labeled_graph_b_nat,SV104: labeled_graph_b_nat,SV157: labeled_graph_b_nat,SV33: labeled_graph_b_nat] :
( ( ( ( SV33 != SV157 )
| ( SV104 != SV185 ) )
= $true )
| ( ( ~ ( ( ( produc951298923_b_nat @ SV33 @ SV104 )
!= ( produc951298923_b_nat @ SV157 @ SV185 ) )
| ~ ~ ( ( SV33 != SV157 )
| ( SV104 != SV185 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1141]) ).
thf(1194,plain,
! [SV106: produc1478835367term_b,SV35: allegorical_term_b] :
( ( ( SV35
= ( produc1223098053term_b @ SV106 ) )
= $true )
| ( ( SV35
= ( produc1223098053term_b @ SV106 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1142]) ).
thf(1195,plain,
! [SV35: allegorical_term_b,SV106: produc1478835367term_b] :
( ( ( ~ ! [SY362: allegorical_term_b] :
( SV106
!= ( produc1990145943term_b @ SY362 @ SV35 ) ) )
= $true )
| ( ( SV35
= ( produc1223098053term_b @ SV106 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1143]) ).
thf(1196,plain,
! [SV35: allegorical_term_b,SV202: allegorical_term_b,SV106: produc1478835367term_b] :
( ( ( SV106
= ( produc1990145943term_b @ SV202 @ SV35 ) )
= $false )
| ( ( ~ ( ( SV35
!= ( produc1223098053term_b @ SV106 ) )
| ~ ~ ! [SY362: allegorical_term_b] :
( SV106
!= ( produc1990145943term_b @ SY362 @ SV35 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1144]) ).
thf(1197,plain,
! [SV186: labeled_graph_b_nat,SV159: labeled_graph_b_nat,SV110: labeled_graph_b_nat,SV39: labeled_graph_b_nat] :
( ( ( ( ( produc951298923_b_nat @ SV39 @ SV110 )
!= ( produc951298923_b_nat @ SV159 @ SV186 ) )
| ~ ~ ( ( SV39 != SV159 )
| ( SV110 != SV186 ) ) )
= $false )
| ( ( ( produc951298923_b_nat @ SV39 @ SV110 )
= ( produc951298923_b_nat @ SV159 @ SV186 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1145]) ).
thf(1198,plain,
! [SV186: labeled_graph_b_nat,SV110: labeled_graph_b_nat,SV159: labeled_graph_b_nat,SV39: labeled_graph_b_nat] :
( ( ( ( SV39 != SV159 )
| ( SV110 != SV186 ) )
= $true )
| ( ( ~ ( ( ( produc951298923_b_nat @ SV39 @ SV110 )
!= ( produc951298923_b_nat @ SV159 @ SV186 ) )
| ~ ~ ( ( SV39 != SV159 )
| ( SV110 != SV186 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1146]) ).
thf(1199,plain,
! [SV112: produc1478835367term_b,SV41: allegorical_term_b] :
( ( ( SV41
= ( produc854192515term_b @ SV112 ) )
= $true )
| ( ( SV41
= ( produc854192515term_b @ SV112 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1147]) ).
thf(1200,plain,
! [SV41: allegorical_term_b,SV112: produc1478835367term_b] :
( ( ( ~ ! [SY367: allegorical_term_b] :
( SV112
!= ( produc1990145943term_b @ SV41 @ SY367 ) ) )
= $true )
| ( ( SV41
= ( produc854192515term_b @ SV112 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1148]) ).
thf(1201,plain,
! [SV203: allegorical_term_b,SV41: allegorical_term_b,SV112: produc1478835367term_b] :
( ( ( SV112
= ( produc1990145943term_b @ SV41 @ SV203 ) )
= $false )
| ( ( ~ ( ( SV41
!= ( produc854192515term_b @ SV112 ) )
| ~ ~ ! [SY367: allegorical_term_b] :
( SV112
!= ( produc1990145943term_b @ SV41 @ SY367 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1149]) ).
thf(1202,plain,
! [SV161: set_Pr1986765409at_nat,SV43: labeled_graph_b_nat,SV200: set_Pr1986765409at_nat,SV187: labeled_graph_b_nat,SV114: labeled_graph_b_nat] :
( ( ( graph_529870330at_nat @ SV114 @ SV187 @ SV200 )
= $false )
| ( ( graph_529870330at_nat @ SV43 @ SV187 @ ( relcomp_nat_nat_nat @ SV161 @ SV200 ) )
= $true )
| ( ( graph_529870330at_nat @ SV43 @ SV114 @ SV161 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1150]) ).
thf(1203,plain,
! [SV188: allegorical_term_b,SV120: allegorical_term_b,SV164: allegorical_term_b,SV51: allegorical_term_b] :
( ( ( SV51 = SV164 )
= $true )
| ( ( ( produc1990145943term_b @ SV51 @ SV120 )
= ( produc1990145943term_b @ SV164 @ SV188 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1153]) ).
thf(1204,plain,
! [SV164: allegorical_term_b,SV51: allegorical_term_b,SV188: allegorical_term_b,SV120: allegorical_term_b] :
( ( ( SV120 = SV188 )
= $true )
| ( ( ( produc1990145943term_b @ SV51 @ SV120 )
= ( produc1990145943term_b @ SV164 @ SV188 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1154]) ).
thf(1205,plain,
! [SV190: allegorical_term_b,SV167: allegorical_term_b,SV124: allegorical_term_b,SV55: allegorical_term_b] :
( ( ( ( ( produc1990145943term_b @ SV55 @ SV124 )
!= ( produc1990145943term_b @ SV167 @ SV190 ) )
| ~ ~ ( ( SV55 != SV167 )
| ( SV124 != SV190 ) ) )
= $false )
| ( ( ( produc1990145943term_b @ SV55 @ SV124 )
= ( produc1990145943term_b @ SV167 @ SV190 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1157]) ).
thf(1206,plain,
! [SV190: allegorical_term_b,SV124: allegorical_term_b,SV167: allegorical_term_b,SV55: allegorical_term_b] :
( ( ( ( SV55 != SV167 )
| ( SV124 != SV190 ) )
= $true )
| ( ( ~ ( ( ( produc1990145943term_b @ SV55 @ SV124 )
!= ( produc1990145943term_b @ SV167 @ SV190 ) )
| ~ ~ ( ( SV55 != SV167 )
| ( SV124 != SV190 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1158]) ).
thf(1207,plain,
! [SV192: allegorical_term_b,SV171: allegorical_term_b,SV132: allegorical_term_b,SV65: allegorical_term_b] :
( ( ( ( ( allegorical_A_Int_b @ SV65 @ SV132 )
!= ( allegorical_A_Int_b @ SV171 @ SV192 ) )
| ~ ~ ( ( SV65 != SV171 )
| ( SV132 != SV192 ) ) )
= $false )
| ( ( ( allegorical_A_Int_b @ SV65 @ SV132 )
= ( allegorical_A_Int_b @ SV171 @ SV192 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1163]) ).
thf(1208,plain,
! [SV192: allegorical_term_b,SV132: allegorical_term_b,SV171: allegorical_term_b,SV65: allegorical_term_b] :
( ( ( ( SV65 != SV171 )
| ( SV132 != SV192 ) )
= $true )
| ( ( ~ ( ( ( allegorical_A_Int_b @ SV65 @ SV132 )
!= ( allegorical_A_Int_b @ SV171 @ SV192 ) )
| ~ ~ ( ( SV65 != SV171 )
| ( SV132 != SV192 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1164]) ).
thf(1209,plain,
! [SV66: b] :
( ( ~ ( graph_529870330at_nat @ ( produc1542243159_b_nat @ ( standa1329480013rule_b @ SV66 ) ) @ ( produc194497945_b_nat @ ( standa1329480013rule_b @ SV66 ) ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ ( standa1329480013rule_b @ SV66 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1165]) ).
thf(1210,plain,
! [SV66: b] :
( ( ( produc194497945_b_nat @ ( standa1329480013rule_b @ SV66 ) )
!= ( restrict_b_nat @ ( produc194497945_b_nat @ ( standa1329480013rule_b @ SV66 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1165]) ).
thf(1211,plain,
! [SV67: b] :
( ( ~ ( graph_529870330at_nat @ ( produc1542243159_b_nat @ ( standa1360217389rule_b @ SV67 ) ) @ ( produc194497945_b_nat @ ( standa1360217389rule_b @ SV67 ) ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ ( standa1360217389rule_b @ SV67 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1166]) ).
thf(1212,plain,
! [SV67: b] :
( ( ( produc194497945_b_nat @ ( standa1360217389rule_b @ SV67 ) )
!= ( restrict_b_nat @ ( produc194497945_b_nat @ ( standa1360217389rule_b @ SV67 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1166]) ).
thf(1213,plain,
! [SV134: produc1235635379_b_nat,SV69: labeled_graph_b_nat] :
( ( ( SV69
= ( produc194497945_b_nat @ SV134 ) )
= $true )
| ( ( SV69
= ( produc194497945_b_nat @ SV134 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1167]) ).
thf(1214,plain,
! [SV69: labeled_graph_b_nat,SV134: produc1235635379_b_nat] :
( ( ( ~ ! [SY392: labeled_graph_b_nat] :
( SV134
!= ( produc951298923_b_nat @ SY392 @ SV69 ) ) )
= $true )
| ( ( SV69
= ( produc194497945_b_nat @ SV134 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1168]) ).
thf(1215,plain,
! [SV69: labeled_graph_b_nat,SV204: labeled_graph_b_nat,SV134: produc1235635379_b_nat] :
( ( ( SV134
= ( produc951298923_b_nat @ SV204 @ SV69 ) )
= $false )
| ( ( ~ ( ( SV69
!= ( produc194497945_b_nat @ SV134 ) )
| ~ ~ ! [SY392: labeled_graph_b_nat] :
( SV134
!= ( produc951298923_b_nat @ SY392 @ SV69 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1169]) ).
thf(1216,plain,
! [SV193: produc1235635379_b_nat,SV137: produc1235635379_b_nat] :
( ( ( ( SV137 != SV193 )
| ~ ~ ( ( ( produc1542243159_b_nat @ SV137 )
!= ( produc1542243159_b_nat @ SV193 ) )
| ( ( produc194497945_b_nat @ SV137 )
!= ( produc194497945_b_nat @ SV193 ) ) ) )
= $false )
| ( ( SV137 = SV193 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1170]) ).
thf(1217,plain,
! [SV193: produc1235635379_b_nat,SV137: produc1235635379_b_nat] :
( ( ( ( ( produc1542243159_b_nat @ SV137 )
!= ( produc1542243159_b_nat @ SV193 ) )
| ( ( produc194497945_b_nat @ SV137 )
!= ( produc194497945_b_nat @ SV193 ) ) )
= $true )
| ( ( ~ ( ( SV137 != SV193 )
| ~ ~ ( ( ( produc1542243159_b_nat @ SV137 )
!= ( produc1542243159_b_nat @ SV193 ) )
| ( ( produc194497945_b_nat @ SV137 )
!= ( produc194497945_b_nat @ SV193 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1171]) ).
thf(1218,plain,
! [SV174: labeled_graph_b_nat > $o,SV194: labeled_graph_b_nat,SV138: labeled_graph_b_nat,SV73: labeled_graph_b_nat > $o] :
( ( ( ~ ( SV73 @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ SV138 @ SV194 ) ) )
| ~ ( SV174 @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ SV138 @ SV194 ) ) ) )
= $false )
| ( ( SV174 @ SV194 )
= $false )
| ( ( SV73 @ SV138 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1172]) ).
thf(1219,plain,
! [SV195: allegorical_term_b,SV175: allegorical_term_b,SV139: allegorical_term_b,SV74: allegorical_term_b] :
( ( ( ( ( produc1990145943term_b @ SV74 @ SV139 )
!= ( produc1990145943term_b @ SV175 @ SV195 ) )
| ~ ~ ( ( SV74 != SV175 )
| ( SV139 != SV195 ) ) )
= $false )
| ( ( ( produc1990145943term_b @ SV74 @ SV139 )
= ( produc1990145943term_b @ SV175 @ SV195 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1173]) ).
thf(1220,plain,
! [SV195: allegorical_term_b,SV139: allegorical_term_b,SV175: allegorical_term_b,SV74: allegorical_term_b] :
( ( ( ( SV74 != SV175 )
| ( SV139 != SV195 ) )
= $true )
| ( ( ~ ( ( ( produc1990145943term_b @ SV74 @ SV139 )
!= ( produc1990145943term_b @ SV175 @ SV195 ) )
| ~ ~ ( ( SV74 != SV175 )
| ( SV139 != SV195 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1174]) ).
thf(1221,plain,
! [SV177: allegorical_term_b > $o,SV196: allegorical_term_b,SV142: allegorical_term_b,SV78: allegorical_term_b > $o] :
( ( ( ~ ( SV78 @ ( produc854192515term_b @ ( produc1990145943term_b @ SV142 @ SV196 ) ) )
| ~ ( SV177 @ ( produc1223098053term_b @ ( produc1990145943term_b @ SV142 @ SV196 ) ) ) )
= $false )
| ( ( SV177 @ SV196 )
= $false )
| ( ( SV78 @ SV142 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1176]) ).
thf(1222,plain,
! [SV197: produc1478835367term_b,SV143: produc1478835367term_b] :
( ( ( ( SV143 != SV197 )
| ~ ~ ( ( ( produc854192515term_b @ SV143 )
!= ( produc854192515term_b @ SV197 ) )
| ( ( produc1223098053term_b @ SV143 )
!= ( produc1223098053term_b @ SV197 ) ) ) )
= $false )
| ( ( SV143 = SV197 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1177]) ).
thf(1223,plain,
! [SV197: produc1478835367term_b,SV143: produc1478835367term_b] :
( ( ( ( ( produc854192515term_b @ SV143 )
!= ( produc854192515term_b @ SV197 ) )
| ( ( produc1223098053term_b @ SV143 )
!= ( produc1223098053term_b @ SV197 ) ) )
= $true )
| ( ( ~ ( ( SV143 != SV197 )
| ~ ~ ( ( ( produc854192515term_b @ SV143 )
!= ( produc854192515term_b @ SV197 ) )
| ( ( produc1223098053term_b @ SV143 )
!= ( produc1223098053term_b @ SV197 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1178]) ).
thf(1224,plain,
! [SV147: labeled_graph_b_nat,SV83: labeled_graph_b_nat] :
( ( ( graph_529870330at_nat @ SV83 @ SV147 @ ( id_on_nat @ ( labele460410879_b_nat @ SV83 ) ) )
= $true )
| ( ( graph_529870330at_nat @ SV83 @ SV147 @ ( id_on_nat @ ( labele460410879_b_nat @ SV83 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1179]) ).
thf(1225,plain,
! [SV147: labeled_graph_b_nat,SV83: labeled_graph_b_nat] :
( ( ( ~ ( ~ ~ ( ( SV83
!= ( restrict_b_nat @ SV83 ) )
| ( SV147
!= ( restrict_b_nat @ SV147 ) ) )
| ( ( graph_union_b_nat @ SV83 @ SV147 )
!= SV147 ) ) )
= $true )
| ( ( graph_529870330at_nat @ SV83 @ SV147 @ ( id_on_nat @ ( labele460410879_b_nat @ SV83 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1180]) ).
thf(1226,plain,
! [SV147: labeled_graph_b_nat,SV83: labeled_graph_b_nat] :
( ( ( ~ ( ( SV83
!= ( restrict_b_nat @ SV83 ) )
| ( SV147
!= ( restrict_b_nat @ SV147 ) ) ) )
= $false )
| ( ( ( graph_union_b_nat @ SV83 @ SV147 )
!= SV147 )
= $true )
| ( ( ~ ( ~ ( graph_529870330at_nat @ SV83 @ SV147 @ ( id_on_nat @ ( labele460410879_b_nat @ SV83 ) ) )
| ~ ~ ( ~ ~ ( ( SV83
!= ( restrict_b_nat @ SV83 ) )
| ( SV147
!= ( restrict_b_nat @ SV147 ) ) )
| ( ( graph_union_b_nat @ SV83 @ SV147 )
!= SV147 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1181]) ).
thf(1227,plain,
! [SV198: labeled_graph_b_nat,SV149: labeled_graph_b_nat,SV180: labeled_graph_b_nat,SV86: labeled_graph_b_nat] :
( ( ( SV86 = SV180 )
= $true )
| ( ( ( produc951298923_b_nat @ SV86 @ SV149 )
= ( produc951298923_b_nat @ SV180 @ SV198 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1182]) ).
thf(1228,plain,
! [SV180: labeled_graph_b_nat,SV86: labeled_graph_b_nat,SV198: labeled_graph_b_nat,SV149: labeled_graph_b_nat] :
( ( ( SV149 = SV198 )
= $true )
| ( ( ( produc951298923_b_nat @ SV86 @ SV149 )
= ( produc951298923_b_nat @ SV180 @ SV198 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1183]) ).
thf(1229,plain,
! [SV150: allegorical_term_b,SV87: allegorical_term_b] :
( ( ~ ( graph_529870330at_nat @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV87 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV87 @ SV150 ) ) ) ) @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV87 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV87 @ SV150 ) ) ) ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV87 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV87 @ SV150 ) ) ) ) ) ) )
| ( ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV87 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV87 @ SV150 ) ) ) )
!= ( restrict_b_nat @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV87 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV87 @ SV150 ) ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1184]) ).
thf(1230,plain,
( ( graph_529870330at_nat @ ( produc1542243159_b_nat @ standa879863266rule_b ) @ ( produc194497945_b_nat @ standa879863266rule_b ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ standa879863266rule_b ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1187]) ).
thf(1231,plain,
( ( ( produc194497945_b_nat @ standa879863266rule_b )
= ( restrict_b_nat @ ( produc194497945_b_nat @ standa879863266rule_b ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1188]) ).
thf(1232,plain,
! [SV32: labeled_graph_b_nat,SV103: produc1235635379_b_nat] :
( ( ( ! [SY359: labeled_graph_b_nat] :
( SV103
!= ( produc951298923_b_nat @ SV32 @ SY359 ) ) )
= $false )
| ( ( SV32
= ( produc1542243159_b_nat @ SV103 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1190]) ).
thf(1233,plain,
! [SV201: labeled_graph_b_nat,SV103: produc1235635379_b_nat,SV32: labeled_graph_b_nat] :
( ( ( ( SV32
!= ( produc1542243159_b_nat @ SV103 ) )
| ~ ~ ! [SY359: labeled_graph_b_nat] :
( SV103
!= ( produc951298923_b_nat @ SV32 @ SY359 ) ) )
= $false )
| ( ( SV103
= ( produc951298923_b_nat @ SV32 @ SV201 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1191]) ).
thf(1234,plain,
! [SV185: labeled_graph_b_nat,SV157: labeled_graph_b_nat,SV104: labeled_graph_b_nat,SV33: labeled_graph_b_nat] :
( ( ( ( produc951298923_b_nat @ SV33 @ SV104 )
!= ( produc951298923_b_nat @ SV157 @ SV185 ) )
= $false )
| ( ( ( produc951298923_b_nat @ SV33 @ SV104 )
= ( produc951298923_b_nat @ SV157 @ SV185 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1192]) ).
thf(1235,plain,
! [SV185: labeled_graph_b_nat,SV104: labeled_graph_b_nat,SV157: labeled_graph_b_nat,SV33: labeled_graph_b_nat] :
( ( ( ~ ~ ( ( SV33 != SV157 )
| ( SV104 != SV185 ) ) )
= $false )
| ( ( ( produc951298923_b_nat @ SV33 @ SV104 )
= ( produc951298923_b_nat @ SV157 @ SV185 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1192]) ).
thf(1236,plain,
! [SV185: labeled_graph_b_nat,SV104: labeled_graph_b_nat,SV157: labeled_graph_b_nat,SV33: labeled_graph_b_nat] :
( ( ( SV33 != SV157 )
= $true )
| ( ( SV104 != SV185 )
= $true )
| ( ( ~ ( ( ( produc951298923_b_nat @ SV33 @ SV104 )
!= ( produc951298923_b_nat @ SV157 @ SV185 ) )
| ~ ~ ( ( SV33 != SV157 )
| ( SV104 != SV185 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1193]) ).
thf(1237,plain,
! [SV35: allegorical_term_b,SV106: produc1478835367term_b] :
( ( ( ! [SY362: allegorical_term_b] :
( SV106
!= ( produc1990145943term_b @ SY362 @ SV35 ) ) )
= $false )
| ( ( SV35
= ( produc1223098053term_b @ SV106 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1195]) ).
thf(1238,plain,
! [SV202: allegorical_term_b,SV106: produc1478835367term_b,SV35: allegorical_term_b] :
( ( ( ( SV35
!= ( produc1223098053term_b @ SV106 ) )
| ~ ~ ! [SY362: allegorical_term_b] :
( SV106
!= ( produc1990145943term_b @ SY362 @ SV35 ) ) )
= $false )
| ( ( SV106
= ( produc1990145943term_b @ SV202 @ SV35 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1196]) ).
thf(1239,plain,
! [SV186: labeled_graph_b_nat,SV159: labeled_graph_b_nat,SV110: labeled_graph_b_nat,SV39: labeled_graph_b_nat] :
( ( ( ( produc951298923_b_nat @ SV39 @ SV110 )
!= ( produc951298923_b_nat @ SV159 @ SV186 ) )
= $false )
| ( ( ( produc951298923_b_nat @ SV39 @ SV110 )
= ( produc951298923_b_nat @ SV159 @ SV186 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1197]) ).
thf(1240,plain,
! [SV186: labeled_graph_b_nat,SV110: labeled_graph_b_nat,SV159: labeled_graph_b_nat,SV39: labeled_graph_b_nat] :
( ( ( ~ ~ ( ( SV39 != SV159 )
| ( SV110 != SV186 ) ) )
= $false )
| ( ( ( produc951298923_b_nat @ SV39 @ SV110 )
= ( produc951298923_b_nat @ SV159 @ SV186 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1197]) ).
thf(1241,plain,
! [SV186: labeled_graph_b_nat,SV110: labeled_graph_b_nat,SV159: labeled_graph_b_nat,SV39: labeled_graph_b_nat] :
( ( ( SV39 != SV159 )
= $true )
| ( ( SV110 != SV186 )
= $true )
| ( ( ~ ( ( ( produc951298923_b_nat @ SV39 @ SV110 )
!= ( produc951298923_b_nat @ SV159 @ SV186 ) )
| ~ ~ ( ( SV39 != SV159 )
| ( SV110 != SV186 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1198]) ).
thf(1242,plain,
! [SV41: allegorical_term_b,SV112: produc1478835367term_b] :
( ( ( ! [SY367: allegorical_term_b] :
( SV112
!= ( produc1990145943term_b @ SV41 @ SY367 ) ) )
= $false )
| ( ( SV41
= ( produc854192515term_b @ SV112 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1200]) ).
thf(1243,plain,
! [SV203: allegorical_term_b,SV112: produc1478835367term_b,SV41: allegorical_term_b] :
( ( ( ( SV41
!= ( produc854192515term_b @ SV112 ) )
| ~ ~ ! [SY367: allegorical_term_b] :
( SV112
!= ( produc1990145943term_b @ SV41 @ SY367 ) ) )
= $false )
| ( ( SV112
= ( produc1990145943term_b @ SV41 @ SV203 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1201]) ).
thf(1244,plain,
! [SV190: allegorical_term_b,SV167: allegorical_term_b,SV124: allegorical_term_b,SV55: allegorical_term_b] :
( ( ( ( produc1990145943term_b @ SV55 @ SV124 )
!= ( produc1990145943term_b @ SV167 @ SV190 ) )
= $false )
| ( ( ( produc1990145943term_b @ SV55 @ SV124 )
= ( produc1990145943term_b @ SV167 @ SV190 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1205]) ).
thf(1245,plain,
! [SV190: allegorical_term_b,SV124: allegorical_term_b,SV167: allegorical_term_b,SV55: allegorical_term_b] :
( ( ( ~ ~ ( ( SV55 != SV167 )
| ( SV124 != SV190 ) ) )
= $false )
| ( ( ( produc1990145943term_b @ SV55 @ SV124 )
= ( produc1990145943term_b @ SV167 @ SV190 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1205]) ).
thf(1246,plain,
! [SV190: allegorical_term_b,SV124: allegorical_term_b,SV167: allegorical_term_b,SV55: allegorical_term_b] :
( ( ( SV55 != SV167 )
= $true )
| ( ( SV124 != SV190 )
= $true )
| ( ( ~ ( ( ( produc1990145943term_b @ SV55 @ SV124 )
!= ( produc1990145943term_b @ SV167 @ SV190 ) )
| ~ ~ ( ( SV55 != SV167 )
| ( SV124 != SV190 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1206]) ).
thf(1247,plain,
! [SV192: allegorical_term_b,SV171: allegorical_term_b,SV132: allegorical_term_b,SV65: allegorical_term_b] :
( ( ( ( allegorical_A_Int_b @ SV65 @ SV132 )
!= ( allegorical_A_Int_b @ SV171 @ SV192 ) )
= $false )
| ( ( ( allegorical_A_Int_b @ SV65 @ SV132 )
= ( allegorical_A_Int_b @ SV171 @ SV192 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1207]) ).
thf(1248,plain,
! [SV192: allegorical_term_b,SV132: allegorical_term_b,SV171: allegorical_term_b,SV65: allegorical_term_b] :
( ( ( ~ ~ ( ( SV65 != SV171 )
| ( SV132 != SV192 ) ) )
= $false )
| ( ( ( allegorical_A_Int_b @ SV65 @ SV132 )
= ( allegorical_A_Int_b @ SV171 @ SV192 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1207]) ).
thf(1249,plain,
! [SV192: allegorical_term_b,SV132: allegorical_term_b,SV171: allegorical_term_b,SV65: allegorical_term_b] :
( ( ( SV65 != SV171 )
= $true )
| ( ( SV132 != SV192 )
= $true )
| ( ( ~ ( ( ( allegorical_A_Int_b @ SV65 @ SV132 )
!= ( allegorical_A_Int_b @ SV171 @ SV192 ) )
| ~ ~ ( ( SV65 != SV171 )
| ( SV132 != SV192 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1208]) ).
thf(1250,plain,
! [SV66: b] :
( ( graph_529870330at_nat @ ( produc1542243159_b_nat @ ( standa1329480013rule_b @ SV66 ) ) @ ( produc194497945_b_nat @ ( standa1329480013rule_b @ SV66 ) ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ ( standa1329480013rule_b @ SV66 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1209]) ).
thf(1251,plain,
! [SV66: b] :
( ( ( produc194497945_b_nat @ ( standa1329480013rule_b @ SV66 ) )
= ( restrict_b_nat @ ( produc194497945_b_nat @ ( standa1329480013rule_b @ SV66 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1210]) ).
thf(1252,plain,
! [SV67: b] :
( ( graph_529870330at_nat @ ( produc1542243159_b_nat @ ( standa1360217389rule_b @ SV67 ) ) @ ( produc194497945_b_nat @ ( standa1360217389rule_b @ SV67 ) ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ ( standa1360217389rule_b @ SV67 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1211]) ).
thf(1253,plain,
! [SV67: b] :
( ( ( produc194497945_b_nat @ ( standa1360217389rule_b @ SV67 ) )
= ( restrict_b_nat @ ( produc194497945_b_nat @ ( standa1360217389rule_b @ SV67 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1212]) ).
thf(1254,plain,
! [SV69: labeled_graph_b_nat,SV134: produc1235635379_b_nat] :
( ( ( ! [SY392: labeled_graph_b_nat] :
( SV134
!= ( produc951298923_b_nat @ SY392 @ SV69 ) ) )
= $false )
| ( ( SV69
= ( produc194497945_b_nat @ SV134 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1214]) ).
thf(1255,plain,
! [SV204: labeled_graph_b_nat,SV134: produc1235635379_b_nat,SV69: labeled_graph_b_nat] :
( ( ( ( SV69
!= ( produc194497945_b_nat @ SV134 ) )
| ~ ~ ! [SY392: labeled_graph_b_nat] :
( SV134
!= ( produc951298923_b_nat @ SY392 @ SV69 ) ) )
= $false )
| ( ( SV134
= ( produc951298923_b_nat @ SV204 @ SV69 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1215]) ).
thf(1256,plain,
! [SV193: produc1235635379_b_nat,SV137: produc1235635379_b_nat] :
( ( ( SV137 != SV193 )
= $false )
| ( ( SV137 = SV193 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1216]) ).
thf(1257,plain,
! [SV193: produc1235635379_b_nat,SV137: produc1235635379_b_nat] :
( ( ( ~ ~ ( ( ( produc1542243159_b_nat @ SV137 )
!= ( produc1542243159_b_nat @ SV193 ) )
| ( ( produc194497945_b_nat @ SV137 )
!= ( produc194497945_b_nat @ SV193 ) ) ) )
= $false )
| ( ( SV137 = SV193 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1216]) ).
thf(1258,plain,
! [SV193: produc1235635379_b_nat,SV137: produc1235635379_b_nat] :
( ( ( ( produc1542243159_b_nat @ SV137 )
!= ( produc1542243159_b_nat @ SV193 ) )
= $true )
| ( ( ( produc194497945_b_nat @ SV137 )
!= ( produc194497945_b_nat @ SV193 ) )
= $true )
| ( ( ~ ( ( SV137 != SV193 )
| ~ ~ ( ( ( produc1542243159_b_nat @ SV137 )
!= ( produc1542243159_b_nat @ SV193 ) )
| ( ( produc194497945_b_nat @ SV137 )
!= ( produc194497945_b_nat @ SV193 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1217]) ).
thf(1259,plain,
! [SV174: labeled_graph_b_nat > $o,SV194: labeled_graph_b_nat,SV138: labeled_graph_b_nat,SV73: labeled_graph_b_nat > $o] :
( ( ( ~ ( SV73 @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ SV138 @ SV194 ) ) ) )
= $false )
| ( ( SV174 @ SV194 )
= $false )
| ( ( SV73 @ SV138 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1218]) ).
thf(1260,plain,
! [SV73: labeled_graph_b_nat > $o,SV194: labeled_graph_b_nat,SV138: labeled_graph_b_nat,SV174: labeled_graph_b_nat > $o] :
( ( ( ~ ( SV174 @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ SV138 @ SV194 ) ) ) )
= $false )
| ( ( SV174 @ SV194 )
= $false )
| ( ( SV73 @ SV138 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1218]) ).
thf(1261,plain,
! [SV195: allegorical_term_b,SV175: allegorical_term_b,SV139: allegorical_term_b,SV74: allegorical_term_b] :
( ( ( ( produc1990145943term_b @ SV74 @ SV139 )
!= ( produc1990145943term_b @ SV175 @ SV195 ) )
= $false )
| ( ( ( produc1990145943term_b @ SV74 @ SV139 )
= ( produc1990145943term_b @ SV175 @ SV195 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1219]) ).
thf(1262,plain,
! [SV195: allegorical_term_b,SV139: allegorical_term_b,SV175: allegorical_term_b,SV74: allegorical_term_b] :
( ( ( ~ ~ ( ( SV74 != SV175 )
| ( SV139 != SV195 ) ) )
= $false )
| ( ( ( produc1990145943term_b @ SV74 @ SV139 )
= ( produc1990145943term_b @ SV175 @ SV195 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1219]) ).
thf(1263,plain,
! [SV195: allegorical_term_b,SV139: allegorical_term_b,SV175: allegorical_term_b,SV74: allegorical_term_b] :
( ( ( SV74 != SV175 )
= $true )
| ( ( SV139 != SV195 )
= $true )
| ( ( ~ ( ( ( produc1990145943term_b @ SV74 @ SV139 )
!= ( produc1990145943term_b @ SV175 @ SV195 ) )
| ~ ~ ( ( SV74 != SV175 )
| ( SV139 != SV195 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1220]) ).
thf(1264,plain,
! [SV177: allegorical_term_b > $o,SV196: allegorical_term_b,SV142: allegorical_term_b,SV78: allegorical_term_b > $o] :
( ( ( ~ ( SV78 @ ( produc854192515term_b @ ( produc1990145943term_b @ SV142 @ SV196 ) ) ) )
= $false )
| ( ( SV177 @ SV196 )
= $false )
| ( ( SV78 @ SV142 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1221]) ).
thf(1265,plain,
! [SV78: allegorical_term_b > $o,SV196: allegorical_term_b,SV142: allegorical_term_b,SV177: allegorical_term_b > $o] :
( ( ( ~ ( SV177 @ ( produc1223098053term_b @ ( produc1990145943term_b @ SV142 @ SV196 ) ) ) )
= $false )
| ( ( SV177 @ SV196 )
= $false )
| ( ( SV78 @ SV142 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1221]) ).
thf(1266,plain,
! [SV197: produc1478835367term_b,SV143: produc1478835367term_b] :
( ( ( SV143 != SV197 )
= $false )
| ( ( SV143 = SV197 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1222]) ).
thf(1267,plain,
! [SV197: produc1478835367term_b,SV143: produc1478835367term_b] :
( ( ( ~ ~ ( ( ( produc854192515term_b @ SV143 )
!= ( produc854192515term_b @ SV197 ) )
| ( ( produc1223098053term_b @ SV143 )
!= ( produc1223098053term_b @ SV197 ) ) ) )
= $false )
| ( ( SV143 = SV197 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1222]) ).
thf(1268,plain,
! [SV197: produc1478835367term_b,SV143: produc1478835367term_b] :
( ( ( ( produc854192515term_b @ SV143 )
!= ( produc854192515term_b @ SV197 ) )
= $true )
| ( ( ( produc1223098053term_b @ SV143 )
!= ( produc1223098053term_b @ SV197 ) )
= $true )
| ( ( ~ ( ( SV143 != SV197 )
| ~ ~ ( ( ( produc854192515term_b @ SV143 )
!= ( produc854192515term_b @ SV197 ) )
| ( ( produc1223098053term_b @ SV143 )
!= ( produc1223098053term_b @ SV197 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1223]) ).
thf(1269,plain,
! [SV147: labeled_graph_b_nat,SV83: labeled_graph_b_nat] :
( ( ( ~ ~ ( ( SV83
!= ( restrict_b_nat @ SV83 ) )
| ( SV147
!= ( restrict_b_nat @ SV147 ) ) )
| ( ( graph_union_b_nat @ SV83 @ SV147 )
!= SV147 ) )
= $false )
| ( ( graph_529870330at_nat @ SV83 @ SV147 @ ( id_on_nat @ ( labele460410879_b_nat @ SV83 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1225]) ).
thf(1270,plain,
! [SV147: labeled_graph_b_nat,SV83: labeled_graph_b_nat] :
( ( ( ( SV83
!= ( restrict_b_nat @ SV83 ) )
| ( SV147
!= ( restrict_b_nat @ SV147 ) ) )
= $true )
| ( ( ( graph_union_b_nat @ SV83 @ SV147 )
!= SV147 )
= $true )
| ( ( ~ ( ~ ( graph_529870330at_nat @ SV83 @ SV147 @ ( id_on_nat @ ( labele460410879_b_nat @ SV83 ) ) )
| ~ ~ ( ~ ~ ( ( SV83
!= ( restrict_b_nat @ SV83 ) )
| ( SV147
!= ( restrict_b_nat @ SV147 ) ) )
| ( ( graph_union_b_nat @ SV83 @ SV147 )
!= SV147 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1226]) ).
thf(1271,plain,
! [SV150: allegorical_term_b,SV87: allegorical_term_b] :
( ( ~ ( graph_529870330at_nat @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV87 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV87 @ SV150 ) ) ) ) @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV87 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV87 @ SV150 ) ) ) ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV87 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV87 @ SV150 ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1229]) ).
thf(1272,plain,
! [SV150: allegorical_term_b,SV87: allegorical_term_b] :
( ( ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV87 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV87 @ SV150 ) ) ) )
!= ( restrict_b_nat @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV87 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV87 @ SV150 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1229]) ).
thf(1273,plain,
! [SV32: labeled_graph_b_nat,SV103: produc1235635379_b_nat] :
( ( ( SV103
!= ( produc951298923_b_nat @ SV32 @ ( sK21_SY359 @ SV32 @ SV103 ) ) )
= $false )
| ( ( SV32
= ( produc1542243159_b_nat @ SV103 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1232]) ).
thf(1274,plain,
! [SV201: labeled_graph_b_nat,SV103: produc1235635379_b_nat,SV32: labeled_graph_b_nat] :
( ( ( SV32
!= ( produc1542243159_b_nat @ SV103 ) )
= $false )
| ( ( SV103
= ( produc951298923_b_nat @ SV32 @ SV201 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1233]) ).
thf(1275,plain,
! [SV201: labeled_graph_b_nat,SV32: labeled_graph_b_nat,SV103: produc1235635379_b_nat] :
( ( ( ~ ~ ! [SY359: labeled_graph_b_nat] :
( SV103
!= ( produc951298923_b_nat @ SV32 @ SY359 ) ) )
= $false )
| ( ( SV103
= ( produc951298923_b_nat @ SV32 @ SV201 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1233]) ).
thf(1276,plain,
! [SV185: labeled_graph_b_nat,SV157: labeled_graph_b_nat,SV104: labeled_graph_b_nat,SV33: labeled_graph_b_nat] :
( ( ( ( produc951298923_b_nat @ SV33 @ SV104 )
= ( produc951298923_b_nat @ SV157 @ SV185 ) )
= $true )
| ( ( ( produc951298923_b_nat @ SV33 @ SV104 )
= ( produc951298923_b_nat @ SV157 @ SV185 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1234]) ).
thf(1277,plain,
! [SV185: labeled_graph_b_nat,SV104: labeled_graph_b_nat,SV157: labeled_graph_b_nat,SV33: labeled_graph_b_nat] :
( ( ( ~ ( ( SV33 != SV157 )
| ( SV104 != SV185 ) ) )
= $true )
| ( ( ( produc951298923_b_nat @ SV33 @ SV104 )
= ( produc951298923_b_nat @ SV157 @ SV185 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1235]) ).
thf(1278,plain,
! [SV185: labeled_graph_b_nat,SV104: labeled_graph_b_nat,SV157: labeled_graph_b_nat,SV33: labeled_graph_b_nat] :
( ( ( SV33 = SV157 )
= $false )
| ( ( SV104 != SV185 )
= $true )
| ( ( ~ ( ( ( produc951298923_b_nat @ SV33 @ SV104 )
!= ( produc951298923_b_nat @ SV157 @ SV185 ) )
| ~ ~ ( ( SV33 != SV157 )
| ( SV104 != SV185 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1236]) ).
thf(1279,plain,
! [SV35: allegorical_term_b,SV106: produc1478835367term_b] :
( ( ( SV106
!= ( produc1990145943term_b @ ( sK22_SY362 @ SV35 @ SV106 ) @ SV35 ) )
= $false )
| ( ( SV35
= ( produc1223098053term_b @ SV106 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1237]) ).
thf(1280,plain,
! [SV202: allegorical_term_b,SV106: produc1478835367term_b,SV35: allegorical_term_b] :
( ( ( SV35
!= ( produc1223098053term_b @ SV106 ) )
= $false )
| ( ( SV106
= ( produc1990145943term_b @ SV202 @ SV35 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1238]) ).
thf(1281,plain,
! [SV202: allegorical_term_b,SV35: allegorical_term_b,SV106: produc1478835367term_b] :
( ( ( ~ ~ ! [SY362: allegorical_term_b] :
( SV106
!= ( produc1990145943term_b @ SY362 @ SV35 ) ) )
= $false )
| ( ( SV106
= ( produc1990145943term_b @ SV202 @ SV35 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1238]) ).
thf(1282,plain,
! [SV186: labeled_graph_b_nat,SV159: labeled_graph_b_nat,SV110: labeled_graph_b_nat,SV39: labeled_graph_b_nat] :
( ( ( ( produc951298923_b_nat @ SV39 @ SV110 )
= ( produc951298923_b_nat @ SV159 @ SV186 ) )
= $true )
| ( ( ( produc951298923_b_nat @ SV39 @ SV110 )
= ( produc951298923_b_nat @ SV159 @ SV186 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1239]) ).
thf(1283,plain,
! [SV186: labeled_graph_b_nat,SV110: labeled_graph_b_nat,SV159: labeled_graph_b_nat,SV39: labeled_graph_b_nat] :
( ( ( ~ ( ( SV39 != SV159 )
| ( SV110 != SV186 ) ) )
= $true )
| ( ( ( produc951298923_b_nat @ SV39 @ SV110 )
= ( produc951298923_b_nat @ SV159 @ SV186 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1240]) ).
thf(1284,plain,
! [SV186: labeled_graph_b_nat,SV110: labeled_graph_b_nat,SV159: labeled_graph_b_nat,SV39: labeled_graph_b_nat] :
( ( ( SV39 = SV159 )
= $false )
| ( ( SV110 != SV186 )
= $true )
| ( ( ~ ( ( ( produc951298923_b_nat @ SV39 @ SV110 )
!= ( produc951298923_b_nat @ SV159 @ SV186 ) )
| ~ ~ ( ( SV39 != SV159 )
| ( SV110 != SV186 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1241]) ).
thf(1285,plain,
! [SV41: allegorical_term_b,SV112: produc1478835367term_b] :
( ( ( SV112
!= ( produc1990145943term_b @ SV41 @ ( sK23_SY367 @ SV41 @ SV112 ) ) )
= $false )
| ( ( SV41
= ( produc854192515term_b @ SV112 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1242]) ).
thf(1286,plain,
! [SV203: allegorical_term_b,SV112: produc1478835367term_b,SV41: allegorical_term_b] :
( ( ( SV41
!= ( produc854192515term_b @ SV112 ) )
= $false )
| ( ( SV112
= ( produc1990145943term_b @ SV41 @ SV203 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1243]) ).
thf(1287,plain,
! [SV203: allegorical_term_b,SV41: allegorical_term_b,SV112: produc1478835367term_b] :
( ( ( ~ ~ ! [SY367: allegorical_term_b] :
( SV112
!= ( produc1990145943term_b @ SV41 @ SY367 ) ) )
= $false )
| ( ( SV112
= ( produc1990145943term_b @ SV41 @ SV203 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1243]) ).
thf(1288,plain,
! [SV190: allegorical_term_b,SV167: allegorical_term_b,SV124: allegorical_term_b,SV55: allegorical_term_b] :
( ( ( ( produc1990145943term_b @ SV55 @ SV124 )
= ( produc1990145943term_b @ SV167 @ SV190 ) )
= $true )
| ( ( ( produc1990145943term_b @ SV55 @ SV124 )
= ( produc1990145943term_b @ SV167 @ SV190 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1244]) ).
thf(1289,plain,
! [SV190: allegorical_term_b,SV124: allegorical_term_b,SV167: allegorical_term_b,SV55: allegorical_term_b] :
( ( ( ~ ( ( SV55 != SV167 )
| ( SV124 != SV190 ) ) )
= $true )
| ( ( ( produc1990145943term_b @ SV55 @ SV124 )
= ( produc1990145943term_b @ SV167 @ SV190 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1245]) ).
thf(1290,plain,
! [SV190: allegorical_term_b,SV124: allegorical_term_b,SV167: allegorical_term_b,SV55: allegorical_term_b] :
( ( ( SV55 = SV167 )
= $false )
| ( ( SV124 != SV190 )
= $true )
| ( ( ~ ( ( ( produc1990145943term_b @ SV55 @ SV124 )
!= ( produc1990145943term_b @ SV167 @ SV190 ) )
| ~ ~ ( ( SV55 != SV167 )
| ( SV124 != SV190 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1246]) ).
thf(1291,plain,
! [SV192: allegorical_term_b,SV171: allegorical_term_b,SV132: allegorical_term_b,SV65: allegorical_term_b] :
( ( ( ( allegorical_A_Int_b @ SV65 @ SV132 )
= ( allegorical_A_Int_b @ SV171 @ SV192 ) )
= $true )
| ( ( ( allegorical_A_Int_b @ SV65 @ SV132 )
= ( allegorical_A_Int_b @ SV171 @ SV192 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1247]) ).
thf(1292,plain,
! [SV192: allegorical_term_b,SV132: allegorical_term_b,SV171: allegorical_term_b,SV65: allegorical_term_b] :
( ( ( ~ ( ( SV65 != SV171 )
| ( SV132 != SV192 ) ) )
= $true )
| ( ( ( allegorical_A_Int_b @ SV65 @ SV132 )
= ( allegorical_A_Int_b @ SV171 @ SV192 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1248]) ).
thf(1293,plain,
! [SV192: allegorical_term_b,SV132: allegorical_term_b,SV171: allegorical_term_b,SV65: allegorical_term_b] :
( ( ( SV65 = SV171 )
= $false )
| ( ( SV132 != SV192 )
= $true )
| ( ( ~ ( ( ( allegorical_A_Int_b @ SV65 @ SV132 )
!= ( allegorical_A_Int_b @ SV171 @ SV192 ) )
| ~ ~ ( ( SV65 != SV171 )
| ( SV132 != SV192 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1249]) ).
thf(1294,plain,
! [SV69: labeled_graph_b_nat,SV134: produc1235635379_b_nat] :
( ( ( SV134
!= ( produc951298923_b_nat @ ( sK24_SY392 @ SV69 @ SV134 ) @ SV69 ) )
= $false )
| ( ( SV69
= ( produc194497945_b_nat @ SV134 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1254]) ).
thf(1295,plain,
! [SV204: labeled_graph_b_nat,SV134: produc1235635379_b_nat,SV69: labeled_graph_b_nat] :
( ( ( SV69
!= ( produc194497945_b_nat @ SV134 ) )
= $false )
| ( ( SV134
= ( produc951298923_b_nat @ SV204 @ SV69 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1255]) ).
thf(1296,plain,
! [SV204: labeled_graph_b_nat,SV69: labeled_graph_b_nat,SV134: produc1235635379_b_nat] :
( ( ( ~ ~ ! [SY392: labeled_graph_b_nat] :
( SV134
!= ( produc951298923_b_nat @ SY392 @ SV69 ) ) )
= $false )
| ( ( SV134
= ( produc951298923_b_nat @ SV204 @ SV69 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1255]) ).
thf(1297,plain,
! [SV193: produc1235635379_b_nat,SV137: produc1235635379_b_nat] :
( ( ( SV137 = SV193 )
= $true )
| ( ( SV137 = SV193 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1256]) ).
thf(1298,plain,
! [SV193: produc1235635379_b_nat,SV137: produc1235635379_b_nat] :
( ( ( ~ ( ( ( produc1542243159_b_nat @ SV137 )
!= ( produc1542243159_b_nat @ SV193 ) )
| ( ( produc194497945_b_nat @ SV137 )
!= ( produc194497945_b_nat @ SV193 ) ) ) )
= $true )
| ( ( SV137 = SV193 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1257]) ).
thf(1299,plain,
! [SV193: produc1235635379_b_nat,SV137: produc1235635379_b_nat] :
( ( ( ( produc1542243159_b_nat @ SV137 )
= ( produc1542243159_b_nat @ SV193 ) )
= $false )
| ( ( ( produc194497945_b_nat @ SV137 )
!= ( produc194497945_b_nat @ SV193 ) )
= $true )
| ( ( ~ ( ( SV137 != SV193 )
| ~ ~ ( ( ( produc1542243159_b_nat @ SV137 )
!= ( produc1542243159_b_nat @ SV193 ) )
| ( ( produc194497945_b_nat @ SV137 )
!= ( produc194497945_b_nat @ SV193 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1258]) ).
thf(1300,plain,
! [SV174: labeled_graph_b_nat > $o,SV194: labeled_graph_b_nat,SV138: labeled_graph_b_nat,SV73: labeled_graph_b_nat > $o] :
( ( ( SV73 @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ SV138 @ SV194 ) ) )
= $true )
| ( ( SV174 @ SV194 )
= $false )
| ( ( SV73 @ SV138 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1259]) ).
thf(1301,plain,
! [SV73: labeled_graph_b_nat > $o,SV194: labeled_graph_b_nat,SV138: labeled_graph_b_nat,SV174: labeled_graph_b_nat > $o] :
( ( ( SV174 @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ SV138 @ SV194 ) ) )
= $true )
| ( ( SV174 @ SV194 )
= $false )
| ( ( SV73 @ SV138 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1260]) ).
thf(1302,plain,
! [SV195: allegorical_term_b,SV175: allegorical_term_b,SV139: allegorical_term_b,SV74: allegorical_term_b] :
( ( ( ( produc1990145943term_b @ SV74 @ SV139 )
= ( produc1990145943term_b @ SV175 @ SV195 ) )
= $true )
| ( ( ( produc1990145943term_b @ SV74 @ SV139 )
= ( produc1990145943term_b @ SV175 @ SV195 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1261]) ).
thf(1303,plain,
! [SV195: allegorical_term_b,SV139: allegorical_term_b,SV175: allegorical_term_b,SV74: allegorical_term_b] :
( ( ( ~ ( ( SV74 != SV175 )
| ( SV139 != SV195 ) ) )
= $true )
| ( ( ( produc1990145943term_b @ SV74 @ SV139 )
= ( produc1990145943term_b @ SV175 @ SV195 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1262]) ).
thf(1304,plain,
! [SV195: allegorical_term_b,SV139: allegorical_term_b,SV175: allegorical_term_b,SV74: allegorical_term_b] :
( ( ( SV74 = SV175 )
= $false )
| ( ( SV139 != SV195 )
= $true )
| ( ( ~ ( ( ( produc1990145943term_b @ SV74 @ SV139 )
!= ( produc1990145943term_b @ SV175 @ SV195 ) )
| ~ ~ ( ( SV74 != SV175 )
| ( SV139 != SV195 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1263]) ).
thf(1305,plain,
! [SV177: allegorical_term_b > $o,SV196: allegorical_term_b,SV142: allegorical_term_b,SV78: allegorical_term_b > $o] :
( ( ( SV78 @ ( produc854192515term_b @ ( produc1990145943term_b @ SV142 @ SV196 ) ) )
= $true )
| ( ( SV177 @ SV196 )
= $false )
| ( ( SV78 @ SV142 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1264]) ).
thf(1306,plain,
! [SV78: allegorical_term_b > $o,SV196: allegorical_term_b,SV142: allegorical_term_b,SV177: allegorical_term_b > $o] :
( ( ( SV177 @ ( produc1223098053term_b @ ( produc1990145943term_b @ SV142 @ SV196 ) ) )
= $true )
| ( ( SV177 @ SV196 )
= $false )
| ( ( SV78 @ SV142 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1265]) ).
thf(1307,plain,
! [SV197: produc1478835367term_b,SV143: produc1478835367term_b] :
( ( ( SV143 = SV197 )
= $true )
| ( ( SV143 = SV197 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1266]) ).
thf(1308,plain,
! [SV197: produc1478835367term_b,SV143: produc1478835367term_b] :
( ( ( ~ ( ( ( produc854192515term_b @ SV143 )
!= ( produc854192515term_b @ SV197 ) )
| ( ( produc1223098053term_b @ SV143 )
!= ( produc1223098053term_b @ SV197 ) ) ) )
= $true )
| ( ( SV143 = SV197 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1267]) ).
thf(1309,plain,
! [SV197: produc1478835367term_b,SV143: produc1478835367term_b] :
( ( ( ( produc854192515term_b @ SV143 )
= ( produc854192515term_b @ SV197 ) )
= $false )
| ( ( ( produc1223098053term_b @ SV143 )
!= ( produc1223098053term_b @ SV197 ) )
= $true )
| ( ( ~ ( ( SV143 != SV197 )
| ~ ~ ( ( ( produc854192515term_b @ SV143 )
!= ( produc854192515term_b @ SV197 ) )
| ( ( produc1223098053term_b @ SV143 )
!= ( produc1223098053term_b @ SV197 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1268]) ).
thf(1310,plain,
! [SV147: labeled_graph_b_nat,SV83: labeled_graph_b_nat] :
( ( ( ~ ~ ( ( SV83
!= ( restrict_b_nat @ SV83 ) )
| ( SV147
!= ( restrict_b_nat @ SV147 ) ) ) )
= $false )
| ( ( graph_529870330at_nat @ SV83 @ SV147 @ ( id_on_nat @ ( labele460410879_b_nat @ SV83 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1269]) ).
thf(1311,plain,
! [SV147: labeled_graph_b_nat,SV83: labeled_graph_b_nat] :
( ( ( ( graph_union_b_nat @ SV83 @ SV147 )
!= SV147 )
= $false )
| ( ( graph_529870330at_nat @ SV83 @ SV147 @ ( id_on_nat @ ( labele460410879_b_nat @ SV83 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1269]) ).
thf(1312,plain,
! [SV147: labeled_graph_b_nat,SV83: labeled_graph_b_nat] :
( ( ( SV83
!= ( restrict_b_nat @ SV83 ) )
= $true )
| ( ( SV147
!= ( restrict_b_nat @ SV147 ) )
= $true )
| ( ( ( graph_union_b_nat @ SV83 @ SV147 )
!= SV147 )
= $true )
| ( ( ~ ( ~ ( graph_529870330at_nat @ SV83 @ SV147 @ ( id_on_nat @ ( labele460410879_b_nat @ SV83 ) ) )
| ~ ~ ( ~ ~ ( ( SV83
!= ( restrict_b_nat @ SV83 ) )
| ( SV147
!= ( restrict_b_nat @ SV147 ) ) )
| ( ( graph_union_b_nat @ SV83 @ SV147 )
!= SV147 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1270]) ).
thf(1313,plain,
! [SV150: allegorical_term_b,SV87: allegorical_term_b] :
( ( graph_529870330at_nat @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV87 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV87 @ SV150 ) ) ) ) @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV87 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV87 @ SV150 ) ) ) ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV87 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV87 @ SV150 ) ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1271]) ).
thf(1314,plain,
! [SV150: allegorical_term_b,SV87: allegorical_term_b] :
( ( ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV87 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV87 @ SV150 ) ) ) )
= ( restrict_b_nat @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV87 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV87 @ SV150 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1272]) ).
thf(1315,plain,
! [SV32: labeled_graph_b_nat,SV103: produc1235635379_b_nat] :
( ( ( SV103
= ( produc951298923_b_nat @ SV32 @ ( sK21_SY359 @ SV32 @ SV103 ) ) )
= $true )
| ( ( SV32
= ( produc1542243159_b_nat @ SV103 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1273]) ).
thf(1316,plain,
! [SV201: labeled_graph_b_nat,SV103: produc1235635379_b_nat,SV32: labeled_graph_b_nat] :
( ( ( SV32
= ( produc1542243159_b_nat @ SV103 ) )
= $true )
| ( ( SV103
= ( produc951298923_b_nat @ SV32 @ SV201 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1274]) ).
thf(1317,plain,
! [SV201: labeled_graph_b_nat,SV32: labeled_graph_b_nat,SV103: produc1235635379_b_nat] :
( ( ( ~ ! [SY359: labeled_graph_b_nat] :
( SV103
!= ( produc951298923_b_nat @ SV32 @ SY359 ) ) )
= $true )
| ( ( SV103
= ( produc951298923_b_nat @ SV32 @ SV201 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1275]) ).
thf(1318,plain,
! [SV185: labeled_graph_b_nat,SV104: labeled_graph_b_nat,SV157: labeled_graph_b_nat,SV33: labeled_graph_b_nat] :
( ( ( ( SV33 != SV157 )
| ( SV104 != SV185 ) )
= $false )
| ( ( ( produc951298923_b_nat @ SV33 @ SV104 )
= ( produc951298923_b_nat @ SV157 @ SV185 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1277]) ).
thf(1319,plain,
! [SV157: labeled_graph_b_nat,SV33: labeled_graph_b_nat,SV185: labeled_graph_b_nat,SV104: labeled_graph_b_nat] :
( ( ( SV104 = SV185 )
= $false )
| ( ( SV33 = SV157 )
= $false )
| ( ( ~ ( ( ( produc951298923_b_nat @ SV33 @ SV104 )
!= ( produc951298923_b_nat @ SV157 @ SV185 ) )
| ~ ~ ( ( SV33 != SV157 )
| ( SV104 != SV185 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1278]) ).
thf(1320,plain,
! [SV35: allegorical_term_b,SV106: produc1478835367term_b] :
( ( ( SV106
= ( produc1990145943term_b @ ( sK22_SY362 @ SV35 @ SV106 ) @ SV35 ) )
= $true )
| ( ( SV35
= ( produc1223098053term_b @ SV106 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1279]) ).
thf(1321,plain,
! [SV202: allegorical_term_b,SV106: produc1478835367term_b,SV35: allegorical_term_b] :
( ( ( SV35
= ( produc1223098053term_b @ SV106 ) )
= $true )
| ( ( SV106
= ( produc1990145943term_b @ SV202 @ SV35 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1280]) ).
thf(1322,plain,
! [SV202: allegorical_term_b,SV35: allegorical_term_b,SV106: produc1478835367term_b] :
( ( ( ~ ! [SY362: allegorical_term_b] :
( SV106
!= ( produc1990145943term_b @ SY362 @ SV35 ) ) )
= $true )
| ( ( SV106
= ( produc1990145943term_b @ SV202 @ SV35 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1281]) ).
thf(1323,plain,
! [SV186: labeled_graph_b_nat,SV110: labeled_graph_b_nat,SV159: labeled_graph_b_nat,SV39: labeled_graph_b_nat] :
( ( ( ( SV39 != SV159 )
| ( SV110 != SV186 ) )
= $false )
| ( ( ( produc951298923_b_nat @ SV39 @ SV110 )
= ( produc951298923_b_nat @ SV159 @ SV186 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1283]) ).
thf(1324,plain,
! [SV159: labeled_graph_b_nat,SV39: labeled_graph_b_nat,SV186: labeled_graph_b_nat,SV110: labeled_graph_b_nat] :
( ( ( SV110 = SV186 )
= $false )
| ( ( SV39 = SV159 )
= $false )
| ( ( ~ ( ( ( produc951298923_b_nat @ SV39 @ SV110 )
!= ( produc951298923_b_nat @ SV159 @ SV186 ) )
| ~ ~ ( ( SV39 != SV159 )
| ( SV110 != SV186 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1284]) ).
thf(1325,plain,
! [SV41: allegorical_term_b,SV112: produc1478835367term_b] :
( ( ( SV112
= ( produc1990145943term_b @ SV41 @ ( sK23_SY367 @ SV41 @ SV112 ) ) )
= $true )
| ( ( SV41
= ( produc854192515term_b @ SV112 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1285]) ).
thf(1326,plain,
! [SV203: allegorical_term_b,SV112: produc1478835367term_b,SV41: allegorical_term_b] :
( ( ( SV41
= ( produc854192515term_b @ SV112 ) )
= $true )
| ( ( SV112
= ( produc1990145943term_b @ SV41 @ SV203 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1286]) ).
thf(1327,plain,
! [SV203: allegorical_term_b,SV41: allegorical_term_b,SV112: produc1478835367term_b] :
( ( ( ~ ! [SY367: allegorical_term_b] :
( SV112
!= ( produc1990145943term_b @ SV41 @ SY367 ) ) )
= $true )
| ( ( SV112
= ( produc1990145943term_b @ SV41 @ SV203 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1287]) ).
thf(1328,plain,
! [SV190: allegorical_term_b,SV124: allegorical_term_b,SV167: allegorical_term_b,SV55: allegorical_term_b] :
( ( ( ( SV55 != SV167 )
| ( SV124 != SV190 ) )
= $false )
| ( ( ( produc1990145943term_b @ SV55 @ SV124 )
= ( produc1990145943term_b @ SV167 @ SV190 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1289]) ).
thf(1329,plain,
! [SV167: allegorical_term_b,SV55: allegorical_term_b,SV190: allegorical_term_b,SV124: allegorical_term_b] :
( ( ( SV124 = SV190 )
= $false )
| ( ( SV55 = SV167 )
= $false )
| ( ( ~ ( ( ( produc1990145943term_b @ SV55 @ SV124 )
!= ( produc1990145943term_b @ SV167 @ SV190 ) )
| ~ ~ ( ( SV55 != SV167 )
| ( SV124 != SV190 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1290]) ).
thf(1330,plain,
! [SV192: allegorical_term_b,SV132: allegorical_term_b,SV171: allegorical_term_b,SV65: allegorical_term_b] :
( ( ( ( SV65 != SV171 )
| ( SV132 != SV192 ) )
= $false )
| ( ( ( allegorical_A_Int_b @ SV65 @ SV132 )
= ( allegorical_A_Int_b @ SV171 @ SV192 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1292]) ).
thf(1331,plain,
! [SV171: allegorical_term_b,SV65: allegorical_term_b,SV192: allegorical_term_b,SV132: allegorical_term_b] :
( ( ( SV132 = SV192 )
= $false )
| ( ( SV65 = SV171 )
= $false )
| ( ( ~ ( ( ( allegorical_A_Int_b @ SV65 @ SV132 )
!= ( allegorical_A_Int_b @ SV171 @ SV192 ) )
| ~ ~ ( ( SV65 != SV171 )
| ( SV132 != SV192 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1293]) ).
thf(1332,plain,
! [SV69: labeled_graph_b_nat,SV134: produc1235635379_b_nat] :
( ( ( SV134
= ( produc951298923_b_nat @ ( sK24_SY392 @ SV69 @ SV134 ) @ SV69 ) )
= $true )
| ( ( SV69
= ( produc194497945_b_nat @ SV134 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1294]) ).
thf(1333,plain,
! [SV204: labeled_graph_b_nat,SV134: produc1235635379_b_nat,SV69: labeled_graph_b_nat] :
( ( ( SV69
= ( produc194497945_b_nat @ SV134 ) )
= $true )
| ( ( SV134
= ( produc951298923_b_nat @ SV204 @ SV69 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1295]) ).
thf(1334,plain,
! [SV204: labeled_graph_b_nat,SV69: labeled_graph_b_nat,SV134: produc1235635379_b_nat] :
( ( ( ~ ! [SY392: labeled_graph_b_nat] :
( SV134
!= ( produc951298923_b_nat @ SY392 @ SV69 ) ) )
= $true )
| ( ( SV134
= ( produc951298923_b_nat @ SV204 @ SV69 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1296]) ).
thf(1335,plain,
! [SV193: produc1235635379_b_nat,SV137: produc1235635379_b_nat] :
( ( ( ( ( produc1542243159_b_nat @ SV137 )
!= ( produc1542243159_b_nat @ SV193 ) )
| ( ( produc194497945_b_nat @ SV137 )
!= ( produc194497945_b_nat @ SV193 ) ) )
= $false )
| ( ( SV137 = SV193 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1298]) ).
thf(1336,plain,
! [SV193: produc1235635379_b_nat,SV137: produc1235635379_b_nat] :
( ( ( ( produc194497945_b_nat @ SV137 )
= ( produc194497945_b_nat @ SV193 ) )
= $false )
| ( ( ( produc1542243159_b_nat @ SV137 )
= ( produc1542243159_b_nat @ SV193 ) )
= $false )
| ( ( ~ ( ( SV137 != SV193 )
| ~ ~ ( ( ( produc1542243159_b_nat @ SV137 )
!= ( produc1542243159_b_nat @ SV193 ) )
| ( ( produc194497945_b_nat @ SV137 )
!= ( produc194497945_b_nat @ SV193 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1299]) ).
thf(1337,plain,
! [SV195: allegorical_term_b,SV139: allegorical_term_b,SV175: allegorical_term_b,SV74: allegorical_term_b] :
( ( ( ( SV74 != SV175 )
| ( SV139 != SV195 ) )
= $false )
| ( ( ( produc1990145943term_b @ SV74 @ SV139 )
= ( produc1990145943term_b @ SV175 @ SV195 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1303]) ).
thf(1338,plain,
! [SV175: allegorical_term_b,SV74: allegorical_term_b,SV195: allegorical_term_b,SV139: allegorical_term_b] :
( ( ( SV139 = SV195 )
= $false )
| ( ( SV74 = SV175 )
= $false )
| ( ( ~ ( ( ( produc1990145943term_b @ SV74 @ SV139 )
!= ( produc1990145943term_b @ SV175 @ SV195 ) )
| ~ ~ ( ( SV74 != SV175 )
| ( SV139 != SV195 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1304]) ).
thf(1339,plain,
! [SV197: produc1478835367term_b,SV143: produc1478835367term_b] :
( ( ( ( ( produc854192515term_b @ SV143 )
!= ( produc854192515term_b @ SV197 ) )
| ( ( produc1223098053term_b @ SV143 )
!= ( produc1223098053term_b @ SV197 ) ) )
= $false )
| ( ( SV143 = SV197 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1308]) ).
thf(1340,plain,
! [SV197: produc1478835367term_b,SV143: produc1478835367term_b] :
( ( ( ( produc1223098053term_b @ SV143 )
= ( produc1223098053term_b @ SV197 ) )
= $false )
| ( ( ( produc854192515term_b @ SV143 )
= ( produc854192515term_b @ SV197 ) )
= $false )
| ( ( ~ ( ( SV143 != SV197 )
| ~ ~ ( ( ( produc854192515term_b @ SV143 )
!= ( produc854192515term_b @ SV197 ) )
| ( ( produc1223098053term_b @ SV143 )
!= ( produc1223098053term_b @ SV197 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1309]) ).
thf(1341,plain,
! [SV147: labeled_graph_b_nat,SV83: labeled_graph_b_nat] :
( ( ( ~ ( ( SV83
!= ( restrict_b_nat @ SV83 ) )
| ( SV147
!= ( restrict_b_nat @ SV147 ) ) ) )
= $true )
| ( ( graph_529870330at_nat @ SV83 @ SV147 @ ( id_on_nat @ ( labele460410879_b_nat @ SV83 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1310]) ).
thf(1342,plain,
! [SV147: labeled_graph_b_nat,SV83: labeled_graph_b_nat] :
( ( ( ( graph_union_b_nat @ SV83 @ SV147 )
= SV147 )
= $true )
| ( ( graph_529870330at_nat @ SV83 @ SV147 @ ( id_on_nat @ ( labele460410879_b_nat @ SV83 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1311]) ).
thf(1343,plain,
! [SV147: labeled_graph_b_nat,SV83: labeled_graph_b_nat] :
( ( ( SV83
= ( restrict_b_nat @ SV83 ) )
= $false )
| ( ( SV147
!= ( restrict_b_nat @ SV147 ) )
= $true )
| ( ( ( graph_union_b_nat @ SV83 @ SV147 )
!= SV147 )
= $true )
| ( ( ~ ( ~ ( graph_529870330at_nat @ SV83 @ SV147 @ ( id_on_nat @ ( labele460410879_b_nat @ SV83 ) ) )
| ~ ~ ( ~ ~ ( ( SV83
!= ( restrict_b_nat @ SV83 ) )
| ( SV147
!= ( restrict_b_nat @ SV147 ) ) )
| ( ( graph_union_b_nat @ SV83 @ SV147 )
!= SV147 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1312]) ).
thf(1344,plain,
! [SV201: labeled_graph_b_nat,SV32: labeled_graph_b_nat,SV103: produc1235635379_b_nat] :
( ( ( ! [SY359: labeled_graph_b_nat] :
( SV103
!= ( produc951298923_b_nat @ SV32 @ SY359 ) ) )
= $false )
| ( ( SV103
= ( produc951298923_b_nat @ SV32 @ SV201 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1317]) ).
thf(1345,plain,
! [SV185: labeled_graph_b_nat,SV104: labeled_graph_b_nat,SV157: labeled_graph_b_nat,SV33: labeled_graph_b_nat] :
( ( ( SV33 != SV157 )
= $false )
| ( ( ( produc951298923_b_nat @ SV33 @ SV104 )
= ( produc951298923_b_nat @ SV157 @ SV185 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1318]) ).
thf(1346,plain,
! [SV157: labeled_graph_b_nat,SV33: labeled_graph_b_nat,SV185: labeled_graph_b_nat,SV104: labeled_graph_b_nat] :
( ( ( SV104 != SV185 )
= $false )
| ( ( ( produc951298923_b_nat @ SV33 @ SV104 )
= ( produc951298923_b_nat @ SV157 @ SV185 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1318]) ).
thf(1347,plain,
! [SV185: labeled_graph_b_nat,SV157: labeled_graph_b_nat,SV104: labeled_graph_b_nat,SV33: labeled_graph_b_nat] :
( ( ( ( ( produc951298923_b_nat @ SV33 @ SV104 )
!= ( produc951298923_b_nat @ SV157 @ SV185 ) )
| ~ ~ ( ( SV33 != SV157 )
| ( SV104 != SV185 ) ) )
= $false )
| ( ( SV33 = SV157 )
= $false )
| ( ( SV104 = SV185 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1319]) ).
thf(1348,plain,
! [SV202: allegorical_term_b,SV35: allegorical_term_b,SV106: produc1478835367term_b] :
( ( ( ! [SY362: allegorical_term_b] :
( SV106
!= ( produc1990145943term_b @ SY362 @ SV35 ) ) )
= $false )
| ( ( SV106
= ( produc1990145943term_b @ SV202 @ SV35 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1322]) ).
thf(1349,plain,
! [SV186: labeled_graph_b_nat,SV110: labeled_graph_b_nat,SV159: labeled_graph_b_nat,SV39: labeled_graph_b_nat] :
( ( ( SV39 != SV159 )
= $false )
| ( ( ( produc951298923_b_nat @ SV39 @ SV110 )
= ( produc951298923_b_nat @ SV159 @ SV186 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1323]) ).
thf(1350,plain,
! [SV159: labeled_graph_b_nat,SV39: labeled_graph_b_nat,SV186: labeled_graph_b_nat,SV110: labeled_graph_b_nat] :
( ( ( SV110 != SV186 )
= $false )
| ( ( ( produc951298923_b_nat @ SV39 @ SV110 )
= ( produc951298923_b_nat @ SV159 @ SV186 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1323]) ).
thf(1351,plain,
! [SV186: labeled_graph_b_nat,SV159: labeled_graph_b_nat,SV110: labeled_graph_b_nat,SV39: labeled_graph_b_nat] :
( ( ( ( ( produc951298923_b_nat @ SV39 @ SV110 )
!= ( produc951298923_b_nat @ SV159 @ SV186 ) )
| ~ ~ ( ( SV39 != SV159 )
| ( SV110 != SV186 ) ) )
= $false )
| ( ( SV39 = SV159 )
= $false )
| ( ( SV110 = SV186 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1324]) ).
thf(1352,plain,
! [SV203: allegorical_term_b,SV41: allegorical_term_b,SV112: produc1478835367term_b] :
( ( ( ! [SY367: allegorical_term_b] :
( SV112
!= ( produc1990145943term_b @ SV41 @ SY367 ) ) )
= $false )
| ( ( SV112
= ( produc1990145943term_b @ SV41 @ SV203 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1327]) ).
thf(1353,plain,
! [SV190: allegorical_term_b,SV124: allegorical_term_b,SV167: allegorical_term_b,SV55: allegorical_term_b] :
( ( ( SV55 != SV167 )
= $false )
| ( ( ( produc1990145943term_b @ SV55 @ SV124 )
= ( produc1990145943term_b @ SV167 @ SV190 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1328]) ).
thf(1354,plain,
! [SV167: allegorical_term_b,SV55: allegorical_term_b,SV190: allegorical_term_b,SV124: allegorical_term_b] :
( ( ( SV124 != SV190 )
= $false )
| ( ( ( produc1990145943term_b @ SV55 @ SV124 )
= ( produc1990145943term_b @ SV167 @ SV190 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1328]) ).
thf(1355,plain,
! [SV190: allegorical_term_b,SV167: allegorical_term_b,SV124: allegorical_term_b,SV55: allegorical_term_b] :
( ( ( ( ( produc1990145943term_b @ SV55 @ SV124 )
!= ( produc1990145943term_b @ SV167 @ SV190 ) )
| ~ ~ ( ( SV55 != SV167 )
| ( SV124 != SV190 ) ) )
= $false )
| ( ( SV55 = SV167 )
= $false )
| ( ( SV124 = SV190 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1329]) ).
thf(1356,plain,
! [SV192: allegorical_term_b,SV132: allegorical_term_b,SV171: allegorical_term_b,SV65: allegorical_term_b] :
( ( ( SV65 != SV171 )
= $false )
| ( ( ( allegorical_A_Int_b @ SV65 @ SV132 )
= ( allegorical_A_Int_b @ SV171 @ SV192 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1330]) ).
thf(1357,plain,
! [SV171: allegorical_term_b,SV65: allegorical_term_b,SV192: allegorical_term_b,SV132: allegorical_term_b] :
( ( ( SV132 != SV192 )
= $false )
| ( ( ( allegorical_A_Int_b @ SV65 @ SV132 )
= ( allegorical_A_Int_b @ SV171 @ SV192 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1330]) ).
thf(1358,plain,
! [SV192: allegorical_term_b,SV171: allegorical_term_b,SV132: allegorical_term_b,SV65: allegorical_term_b] :
( ( ( ( ( allegorical_A_Int_b @ SV65 @ SV132 )
!= ( allegorical_A_Int_b @ SV171 @ SV192 ) )
| ~ ~ ( ( SV65 != SV171 )
| ( SV132 != SV192 ) ) )
= $false )
| ( ( SV65 = SV171 )
= $false )
| ( ( SV132 = SV192 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1331]) ).
thf(1359,plain,
! [SV204: labeled_graph_b_nat,SV69: labeled_graph_b_nat,SV134: produc1235635379_b_nat] :
( ( ( ! [SY392: labeled_graph_b_nat] :
( SV134
!= ( produc951298923_b_nat @ SY392 @ SV69 ) ) )
= $false )
| ( ( SV134
= ( produc951298923_b_nat @ SV204 @ SV69 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1334]) ).
thf(1360,plain,
! [SV193: produc1235635379_b_nat,SV137: produc1235635379_b_nat] :
( ( ( ( produc1542243159_b_nat @ SV137 )
!= ( produc1542243159_b_nat @ SV193 ) )
= $false )
| ( ( SV137 = SV193 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1335]) ).
thf(1361,plain,
! [SV193: produc1235635379_b_nat,SV137: produc1235635379_b_nat] :
( ( ( ( produc194497945_b_nat @ SV137 )
!= ( produc194497945_b_nat @ SV193 ) )
= $false )
| ( ( SV137 = SV193 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1335]) ).
thf(1362,plain,
! [SV193: produc1235635379_b_nat,SV137: produc1235635379_b_nat] :
( ( ( ( SV137 != SV193 )
| ~ ~ ( ( ( produc1542243159_b_nat @ SV137 )
!= ( produc1542243159_b_nat @ SV193 ) )
| ( ( produc194497945_b_nat @ SV137 )
!= ( produc194497945_b_nat @ SV193 ) ) ) )
= $false )
| ( ( ( produc1542243159_b_nat @ SV137 )
= ( produc1542243159_b_nat @ SV193 ) )
= $false )
| ( ( ( produc194497945_b_nat @ SV137 )
= ( produc194497945_b_nat @ SV193 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1336]) ).
thf(1363,plain,
! [SV195: allegorical_term_b,SV139: allegorical_term_b,SV175: allegorical_term_b,SV74: allegorical_term_b] :
( ( ( SV74 != SV175 )
= $false )
| ( ( ( produc1990145943term_b @ SV74 @ SV139 )
= ( produc1990145943term_b @ SV175 @ SV195 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1337]) ).
thf(1364,plain,
! [SV175: allegorical_term_b,SV74: allegorical_term_b,SV195: allegorical_term_b,SV139: allegorical_term_b] :
( ( ( SV139 != SV195 )
= $false )
| ( ( ( produc1990145943term_b @ SV74 @ SV139 )
= ( produc1990145943term_b @ SV175 @ SV195 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1337]) ).
thf(1365,plain,
! [SV195: allegorical_term_b,SV175: allegorical_term_b,SV139: allegorical_term_b,SV74: allegorical_term_b] :
( ( ( ( ( produc1990145943term_b @ SV74 @ SV139 )
!= ( produc1990145943term_b @ SV175 @ SV195 ) )
| ~ ~ ( ( SV74 != SV175 )
| ( SV139 != SV195 ) ) )
= $false )
| ( ( SV74 = SV175 )
= $false )
| ( ( SV139 = SV195 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1338]) ).
thf(1366,plain,
! [SV197: produc1478835367term_b,SV143: produc1478835367term_b] :
( ( ( ( produc854192515term_b @ SV143 )
!= ( produc854192515term_b @ SV197 ) )
= $false )
| ( ( SV143 = SV197 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1339]) ).
thf(1367,plain,
! [SV197: produc1478835367term_b,SV143: produc1478835367term_b] :
( ( ( ( produc1223098053term_b @ SV143 )
!= ( produc1223098053term_b @ SV197 ) )
= $false )
| ( ( SV143 = SV197 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1339]) ).
thf(1368,plain,
! [SV197: produc1478835367term_b,SV143: produc1478835367term_b] :
( ( ( ( SV143 != SV197 )
| ~ ~ ( ( ( produc854192515term_b @ SV143 )
!= ( produc854192515term_b @ SV197 ) )
| ( ( produc1223098053term_b @ SV143 )
!= ( produc1223098053term_b @ SV197 ) ) ) )
= $false )
| ( ( ( produc854192515term_b @ SV143 )
= ( produc854192515term_b @ SV197 ) )
= $false )
| ( ( ( produc1223098053term_b @ SV143 )
= ( produc1223098053term_b @ SV197 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1340]) ).
thf(1369,plain,
! [SV147: labeled_graph_b_nat,SV83: labeled_graph_b_nat] :
( ( ( ( SV83
!= ( restrict_b_nat @ SV83 ) )
| ( SV147
!= ( restrict_b_nat @ SV147 ) ) )
= $false )
| ( ( graph_529870330at_nat @ SV83 @ SV147 @ ( id_on_nat @ ( labele460410879_b_nat @ SV83 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1341]) ).
thf(1370,plain,
! [SV83: labeled_graph_b_nat,SV147: labeled_graph_b_nat] :
( ( ( SV147
= ( restrict_b_nat @ SV147 ) )
= $false )
| ( ( SV83
= ( restrict_b_nat @ SV83 ) )
= $false )
| ( ( ( graph_union_b_nat @ SV83 @ SV147 )
!= SV147 )
= $true )
| ( ( ~ ( ~ ( graph_529870330at_nat @ SV83 @ SV147 @ ( id_on_nat @ ( labele460410879_b_nat @ SV83 ) ) )
| ~ ~ ( ~ ~ ( ( SV83
!= ( restrict_b_nat @ SV83 ) )
| ( SV147
!= ( restrict_b_nat @ SV147 ) ) )
| ( ( graph_union_b_nat @ SV83 @ SV147 )
!= SV147 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1343]) ).
thf(1371,plain,
! [SV201: labeled_graph_b_nat,SV32: labeled_graph_b_nat,SV103: produc1235635379_b_nat] :
( ( ( SV103
!= ( produc951298923_b_nat @ SV32 @ ( sK25_SY359 @ SV201 @ SV32 @ SV103 ) ) )
= $false )
| ( ( SV103
= ( produc951298923_b_nat @ SV32 @ SV201 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1344]) ).
thf(1372,plain,
! [SV185: labeled_graph_b_nat,SV104: labeled_graph_b_nat,SV157: labeled_graph_b_nat,SV33: labeled_graph_b_nat] :
( ( ( SV33 = SV157 )
= $true )
| ( ( ( produc951298923_b_nat @ SV33 @ SV104 )
= ( produc951298923_b_nat @ SV157 @ SV185 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1345]) ).
thf(1373,plain,
! [SV157: labeled_graph_b_nat,SV33: labeled_graph_b_nat,SV185: labeled_graph_b_nat,SV104: labeled_graph_b_nat] :
( ( ( SV104 = SV185 )
= $true )
| ( ( ( produc951298923_b_nat @ SV33 @ SV104 )
= ( produc951298923_b_nat @ SV157 @ SV185 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1346]) ).
thf(1374,plain,
! [SV185: labeled_graph_b_nat,SV157: labeled_graph_b_nat,SV104: labeled_graph_b_nat,SV33: labeled_graph_b_nat] :
( ( ( ( produc951298923_b_nat @ SV33 @ SV104 )
!= ( produc951298923_b_nat @ SV157 @ SV185 ) )
= $false )
| ( ( SV33 = SV157 )
= $false )
| ( ( SV104 = SV185 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1347]) ).
thf(1375,plain,
! [SV185: labeled_graph_b_nat,SV104: labeled_graph_b_nat,SV157: labeled_graph_b_nat,SV33: labeled_graph_b_nat] :
( ( ( ~ ~ ( ( SV33 != SV157 )
| ( SV104 != SV185 ) ) )
= $false )
| ( ( SV33 = SV157 )
= $false )
| ( ( SV104 = SV185 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1347]) ).
thf(1376,plain,
! [SV35: allegorical_term_b,SV202: allegorical_term_b,SV106: produc1478835367term_b] :
( ( ( SV106
!= ( produc1990145943term_b @ ( sK26_SY362 @ SV202 @ SV35 @ SV106 ) @ SV35 ) )
= $false )
| ( ( SV106
= ( produc1990145943term_b @ SV202 @ SV35 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1348]) ).
thf(1377,plain,
! [SV186: labeled_graph_b_nat,SV110: labeled_graph_b_nat,SV159: labeled_graph_b_nat,SV39: labeled_graph_b_nat] :
( ( ( SV39 = SV159 )
= $true )
| ( ( ( produc951298923_b_nat @ SV39 @ SV110 )
= ( produc951298923_b_nat @ SV159 @ SV186 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1349]) ).
thf(1378,plain,
! [SV159: labeled_graph_b_nat,SV39: labeled_graph_b_nat,SV186: labeled_graph_b_nat,SV110: labeled_graph_b_nat] :
( ( ( SV110 = SV186 )
= $true )
| ( ( ( produc951298923_b_nat @ SV39 @ SV110 )
= ( produc951298923_b_nat @ SV159 @ SV186 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1350]) ).
thf(1379,plain,
! [SV186: labeled_graph_b_nat,SV159: labeled_graph_b_nat,SV110: labeled_graph_b_nat,SV39: labeled_graph_b_nat] :
( ( ( ( produc951298923_b_nat @ SV39 @ SV110 )
!= ( produc951298923_b_nat @ SV159 @ SV186 ) )
= $false )
| ( ( SV39 = SV159 )
= $false )
| ( ( SV110 = SV186 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1351]) ).
thf(1380,plain,
! [SV186: labeled_graph_b_nat,SV110: labeled_graph_b_nat,SV159: labeled_graph_b_nat,SV39: labeled_graph_b_nat] :
( ( ( ~ ~ ( ( SV39 != SV159 )
| ( SV110 != SV186 ) ) )
= $false )
| ( ( SV39 = SV159 )
= $false )
| ( ( SV110 = SV186 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1351]) ).
thf(1381,plain,
! [SV203: allegorical_term_b,SV41: allegorical_term_b,SV112: produc1478835367term_b] :
( ( ( SV112
!= ( produc1990145943term_b @ SV41 @ ( sK27_SY367 @ SV203 @ SV41 @ SV112 ) ) )
= $false )
| ( ( SV112
= ( produc1990145943term_b @ SV41 @ SV203 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1352]) ).
thf(1382,plain,
! [SV190: allegorical_term_b,SV124: allegorical_term_b,SV167: allegorical_term_b,SV55: allegorical_term_b] :
( ( ( SV55 = SV167 )
= $true )
| ( ( ( produc1990145943term_b @ SV55 @ SV124 )
= ( produc1990145943term_b @ SV167 @ SV190 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1353]) ).
thf(1383,plain,
! [SV167: allegorical_term_b,SV55: allegorical_term_b,SV190: allegorical_term_b,SV124: allegorical_term_b] :
( ( ( SV124 = SV190 )
= $true )
| ( ( ( produc1990145943term_b @ SV55 @ SV124 )
= ( produc1990145943term_b @ SV167 @ SV190 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1354]) ).
thf(1384,plain,
! [SV190: allegorical_term_b,SV167: allegorical_term_b,SV124: allegorical_term_b,SV55: allegorical_term_b] :
( ( ( ( produc1990145943term_b @ SV55 @ SV124 )
!= ( produc1990145943term_b @ SV167 @ SV190 ) )
= $false )
| ( ( SV55 = SV167 )
= $false )
| ( ( SV124 = SV190 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1355]) ).
thf(1385,plain,
! [SV190: allegorical_term_b,SV124: allegorical_term_b,SV167: allegorical_term_b,SV55: allegorical_term_b] :
( ( ( ~ ~ ( ( SV55 != SV167 )
| ( SV124 != SV190 ) ) )
= $false )
| ( ( SV55 = SV167 )
= $false )
| ( ( SV124 = SV190 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1355]) ).
thf(1386,plain,
! [SV192: allegorical_term_b,SV132: allegorical_term_b,SV171: allegorical_term_b,SV65: allegorical_term_b] :
( ( ( SV65 = SV171 )
= $true )
| ( ( ( allegorical_A_Int_b @ SV65 @ SV132 )
= ( allegorical_A_Int_b @ SV171 @ SV192 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1356]) ).
thf(1387,plain,
! [SV171: allegorical_term_b,SV65: allegorical_term_b,SV192: allegorical_term_b,SV132: allegorical_term_b] :
( ( ( SV132 = SV192 )
= $true )
| ( ( ( allegorical_A_Int_b @ SV65 @ SV132 )
= ( allegorical_A_Int_b @ SV171 @ SV192 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1357]) ).
thf(1388,plain,
! [SV192: allegorical_term_b,SV171: allegorical_term_b,SV132: allegorical_term_b,SV65: allegorical_term_b] :
( ( ( ( allegorical_A_Int_b @ SV65 @ SV132 )
!= ( allegorical_A_Int_b @ SV171 @ SV192 ) )
= $false )
| ( ( SV65 = SV171 )
= $false )
| ( ( SV132 = SV192 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1358]) ).
thf(1389,plain,
! [SV192: allegorical_term_b,SV132: allegorical_term_b,SV171: allegorical_term_b,SV65: allegorical_term_b] :
( ( ( ~ ~ ( ( SV65 != SV171 )
| ( SV132 != SV192 ) ) )
= $false )
| ( ( SV65 = SV171 )
= $false )
| ( ( SV132 = SV192 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1358]) ).
thf(1390,plain,
! [SV69: labeled_graph_b_nat,SV204: labeled_graph_b_nat,SV134: produc1235635379_b_nat] :
( ( ( SV134
!= ( produc951298923_b_nat @ ( sK28_SY392 @ SV204 @ SV69 @ SV134 ) @ SV69 ) )
= $false )
| ( ( SV134
= ( produc951298923_b_nat @ SV204 @ SV69 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1359]) ).
thf(1391,plain,
! [SV193: produc1235635379_b_nat,SV137: produc1235635379_b_nat] :
( ( ( ( produc1542243159_b_nat @ SV137 )
= ( produc1542243159_b_nat @ SV193 ) )
= $true )
| ( ( SV137 = SV193 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1360]) ).
thf(1392,plain,
! [SV193: produc1235635379_b_nat,SV137: produc1235635379_b_nat] :
( ( ( ( produc194497945_b_nat @ SV137 )
= ( produc194497945_b_nat @ SV193 ) )
= $true )
| ( ( SV137 = SV193 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1361]) ).
thf(1393,plain,
! [SV193: produc1235635379_b_nat,SV137: produc1235635379_b_nat] :
( ( ( SV137 != SV193 )
= $false )
| ( ( ( produc1542243159_b_nat @ SV137 )
= ( produc1542243159_b_nat @ SV193 ) )
= $false )
| ( ( ( produc194497945_b_nat @ SV137 )
= ( produc194497945_b_nat @ SV193 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1362]) ).
thf(1394,plain,
! [SV193: produc1235635379_b_nat,SV137: produc1235635379_b_nat] :
( ( ( ~ ~ ( ( ( produc1542243159_b_nat @ SV137 )
!= ( produc1542243159_b_nat @ SV193 ) )
| ( ( produc194497945_b_nat @ SV137 )
!= ( produc194497945_b_nat @ SV193 ) ) ) )
= $false )
| ( ( ( produc1542243159_b_nat @ SV137 )
= ( produc1542243159_b_nat @ SV193 ) )
= $false )
| ( ( ( produc194497945_b_nat @ SV137 )
= ( produc194497945_b_nat @ SV193 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1362]) ).
thf(1395,plain,
! [SV195: allegorical_term_b,SV139: allegorical_term_b,SV175: allegorical_term_b,SV74: allegorical_term_b] :
( ( ( SV74 = SV175 )
= $true )
| ( ( ( produc1990145943term_b @ SV74 @ SV139 )
= ( produc1990145943term_b @ SV175 @ SV195 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1363]) ).
thf(1396,plain,
! [SV175: allegorical_term_b,SV74: allegorical_term_b,SV195: allegorical_term_b,SV139: allegorical_term_b] :
( ( ( SV139 = SV195 )
= $true )
| ( ( ( produc1990145943term_b @ SV74 @ SV139 )
= ( produc1990145943term_b @ SV175 @ SV195 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1364]) ).
thf(1397,plain,
! [SV195: allegorical_term_b,SV175: allegorical_term_b,SV139: allegorical_term_b,SV74: allegorical_term_b] :
( ( ( ( produc1990145943term_b @ SV74 @ SV139 )
!= ( produc1990145943term_b @ SV175 @ SV195 ) )
= $false )
| ( ( SV74 = SV175 )
= $false )
| ( ( SV139 = SV195 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1365]) ).
thf(1398,plain,
! [SV195: allegorical_term_b,SV139: allegorical_term_b,SV175: allegorical_term_b,SV74: allegorical_term_b] :
( ( ( ~ ~ ( ( SV74 != SV175 )
| ( SV139 != SV195 ) ) )
= $false )
| ( ( SV74 = SV175 )
= $false )
| ( ( SV139 = SV195 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1365]) ).
thf(1399,plain,
! [SV197: produc1478835367term_b,SV143: produc1478835367term_b] :
( ( ( ( produc854192515term_b @ SV143 )
= ( produc854192515term_b @ SV197 ) )
= $true )
| ( ( SV143 = SV197 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1366]) ).
thf(1400,plain,
! [SV197: produc1478835367term_b,SV143: produc1478835367term_b] :
( ( ( ( produc1223098053term_b @ SV143 )
= ( produc1223098053term_b @ SV197 ) )
= $true )
| ( ( SV143 = SV197 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1367]) ).
thf(1401,plain,
! [SV197: produc1478835367term_b,SV143: produc1478835367term_b] :
( ( ( SV143 != SV197 )
= $false )
| ( ( ( produc854192515term_b @ SV143 )
= ( produc854192515term_b @ SV197 ) )
= $false )
| ( ( ( produc1223098053term_b @ SV143 )
= ( produc1223098053term_b @ SV197 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1368]) ).
thf(1402,plain,
! [SV197: produc1478835367term_b,SV143: produc1478835367term_b] :
( ( ( ~ ~ ( ( ( produc854192515term_b @ SV143 )
!= ( produc854192515term_b @ SV197 ) )
| ( ( produc1223098053term_b @ SV143 )
!= ( produc1223098053term_b @ SV197 ) ) ) )
= $false )
| ( ( ( produc854192515term_b @ SV143 )
= ( produc854192515term_b @ SV197 ) )
= $false )
| ( ( ( produc1223098053term_b @ SV143 )
= ( produc1223098053term_b @ SV197 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1368]) ).
thf(1403,plain,
! [SV147: labeled_graph_b_nat,SV83: labeled_graph_b_nat] :
( ( ( SV83
!= ( restrict_b_nat @ SV83 ) )
= $false )
| ( ( graph_529870330at_nat @ SV83 @ SV147 @ ( id_on_nat @ ( labele460410879_b_nat @ SV83 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1369]) ).
thf(1404,plain,
! [SV83: labeled_graph_b_nat,SV147: labeled_graph_b_nat] :
( ( ( SV147
!= ( restrict_b_nat @ SV147 ) )
= $false )
| ( ( graph_529870330at_nat @ SV83 @ SV147 @ ( id_on_nat @ ( labele460410879_b_nat @ SV83 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1369]) ).
thf(1405,plain,
! [SV147: labeled_graph_b_nat,SV83: labeled_graph_b_nat] :
( ( ( ( graph_union_b_nat @ SV83 @ SV147 )
= SV147 )
= $false )
| ( ( SV83
= ( restrict_b_nat @ SV83 ) )
= $false )
| ( ( SV147
= ( restrict_b_nat @ SV147 ) )
= $false )
| ( ( ~ ( ~ ( graph_529870330at_nat @ SV83 @ SV147 @ ( id_on_nat @ ( labele460410879_b_nat @ SV83 ) ) )
| ~ ~ ( ~ ~ ( ( SV83
!= ( restrict_b_nat @ SV83 ) )
| ( SV147
!= ( restrict_b_nat @ SV147 ) ) )
| ( ( graph_union_b_nat @ SV83 @ SV147 )
!= SV147 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1370]) ).
thf(1406,plain,
! [SV201: labeled_graph_b_nat,SV32: labeled_graph_b_nat,SV103: produc1235635379_b_nat] :
( ( ( SV103
= ( produc951298923_b_nat @ SV32 @ ( sK25_SY359 @ SV201 @ SV32 @ SV103 ) ) )
= $true )
| ( ( SV103
= ( produc951298923_b_nat @ SV32 @ SV201 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1371]) ).
thf(1407,plain,
! [SV185: labeled_graph_b_nat,SV157: labeled_graph_b_nat,SV104: labeled_graph_b_nat,SV33: labeled_graph_b_nat] :
( ( ( ( produc951298923_b_nat @ SV33 @ SV104 )
= ( produc951298923_b_nat @ SV157 @ SV185 ) )
= $true )
| ( ( SV33 = SV157 )
= $false )
| ( ( SV104 = SV185 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1374]) ).
thf(1408,plain,
! [SV185: labeled_graph_b_nat,SV104: labeled_graph_b_nat,SV157: labeled_graph_b_nat,SV33: labeled_graph_b_nat] :
( ( ( ~ ( ( SV33 != SV157 )
| ( SV104 != SV185 ) ) )
= $true )
| ( ( SV33 = SV157 )
= $false )
| ( ( SV104 = SV185 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1375]) ).
thf(1409,plain,
! [SV35: allegorical_term_b,SV202: allegorical_term_b,SV106: produc1478835367term_b] :
( ( ( SV106
= ( produc1990145943term_b @ ( sK26_SY362 @ SV202 @ SV35 @ SV106 ) @ SV35 ) )
= $true )
| ( ( SV106
= ( produc1990145943term_b @ SV202 @ SV35 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1376]) ).
thf(1410,plain,
! [SV186: labeled_graph_b_nat,SV159: labeled_graph_b_nat,SV110: labeled_graph_b_nat,SV39: labeled_graph_b_nat] :
( ( ( ( produc951298923_b_nat @ SV39 @ SV110 )
= ( produc951298923_b_nat @ SV159 @ SV186 ) )
= $true )
| ( ( SV39 = SV159 )
= $false )
| ( ( SV110 = SV186 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1379]) ).
thf(1411,plain,
! [SV186: labeled_graph_b_nat,SV110: labeled_graph_b_nat,SV159: labeled_graph_b_nat,SV39: labeled_graph_b_nat] :
( ( ( ~ ( ( SV39 != SV159 )
| ( SV110 != SV186 ) ) )
= $true )
| ( ( SV39 = SV159 )
= $false )
| ( ( SV110 = SV186 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1380]) ).
thf(1412,plain,
! [SV203: allegorical_term_b,SV41: allegorical_term_b,SV112: produc1478835367term_b] :
( ( ( SV112
= ( produc1990145943term_b @ SV41 @ ( sK27_SY367 @ SV203 @ SV41 @ SV112 ) ) )
= $true )
| ( ( SV112
= ( produc1990145943term_b @ SV41 @ SV203 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1381]) ).
thf(1413,plain,
! [SV190: allegorical_term_b,SV167: allegorical_term_b,SV124: allegorical_term_b,SV55: allegorical_term_b] :
( ( ( ( produc1990145943term_b @ SV55 @ SV124 )
= ( produc1990145943term_b @ SV167 @ SV190 ) )
= $true )
| ( ( SV55 = SV167 )
= $false )
| ( ( SV124 = SV190 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1384]) ).
thf(1414,plain,
! [SV190: allegorical_term_b,SV124: allegorical_term_b,SV167: allegorical_term_b,SV55: allegorical_term_b] :
( ( ( ~ ( ( SV55 != SV167 )
| ( SV124 != SV190 ) ) )
= $true )
| ( ( SV55 = SV167 )
= $false )
| ( ( SV124 = SV190 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1385]) ).
thf(1415,plain,
! [SV192: allegorical_term_b,SV171: allegorical_term_b,SV132: allegorical_term_b,SV65: allegorical_term_b] :
( ( ( ( allegorical_A_Int_b @ SV65 @ SV132 )
= ( allegorical_A_Int_b @ SV171 @ SV192 ) )
= $true )
| ( ( SV65 = SV171 )
= $false )
| ( ( SV132 = SV192 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1388]) ).
thf(1416,plain,
! [SV192: allegorical_term_b,SV132: allegorical_term_b,SV171: allegorical_term_b,SV65: allegorical_term_b] :
( ( ( ~ ( ( SV65 != SV171 )
| ( SV132 != SV192 ) ) )
= $true )
| ( ( SV65 = SV171 )
= $false )
| ( ( SV132 = SV192 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1389]) ).
thf(1417,plain,
! [SV69: labeled_graph_b_nat,SV204: labeled_graph_b_nat,SV134: produc1235635379_b_nat] :
( ( ( SV134
= ( produc951298923_b_nat @ ( sK28_SY392 @ SV204 @ SV69 @ SV134 ) @ SV69 ) )
= $true )
| ( ( SV134
= ( produc951298923_b_nat @ SV204 @ SV69 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1390]) ).
thf(1418,plain,
! [SV193: produc1235635379_b_nat,SV137: produc1235635379_b_nat] :
( ( ( SV137 = SV193 )
= $true )
| ( ( ( produc1542243159_b_nat @ SV137 )
= ( produc1542243159_b_nat @ SV193 ) )
= $false )
| ( ( ( produc194497945_b_nat @ SV137 )
= ( produc194497945_b_nat @ SV193 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1393]) ).
thf(1419,plain,
! [SV193: produc1235635379_b_nat,SV137: produc1235635379_b_nat] :
( ( ( ~ ( ( ( produc1542243159_b_nat @ SV137 )
!= ( produc1542243159_b_nat @ SV193 ) )
| ( ( produc194497945_b_nat @ SV137 )
!= ( produc194497945_b_nat @ SV193 ) ) ) )
= $true )
| ( ( ( produc1542243159_b_nat @ SV137 )
= ( produc1542243159_b_nat @ SV193 ) )
= $false )
| ( ( ( produc194497945_b_nat @ SV137 )
= ( produc194497945_b_nat @ SV193 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1394]) ).
thf(1420,plain,
! [SV195: allegorical_term_b,SV175: allegorical_term_b,SV139: allegorical_term_b,SV74: allegorical_term_b] :
( ( ( ( produc1990145943term_b @ SV74 @ SV139 )
= ( produc1990145943term_b @ SV175 @ SV195 ) )
= $true )
| ( ( SV74 = SV175 )
= $false )
| ( ( SV139 = SV195 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1397]) ).
thf(1421,plain,
! [SV195: allegorical_term_b,SV139: allegorical_term_b,SV175: allegorical_term_b,SV74: allegorical_term_b] :
( ( ( ~ ( ( SV74 != SV175 )
| ( SV139 != SV195 ) ) )
= $true )
| ( ( SV74 = SV175 )
= $false )
| ( ( SV139 = SV195 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1398]) ).
thf(1422,plain,
! [SV197: produc1478835367term_b,SV143: produc1478835367term_b] :
( ( ( SV143 = SV197 )
= $true )
| ( ( ( produc854192515term_b @ SV143 )
= ( produc854192515term_b @ SV197 ) )
= $false )
| ( ( ( produc1223098053term_b @ SV143 )
= ( produc1223098053term_b @ SV197 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1401]) ).
thf(1423,plain,
! [SV197: produc1478835367term_b,SV143: produc1478835367term_b] :
( ( ( ~ ( ( ( produc854192515term_b @ SV143 )
!= ( produc854192515term_b @ SV197 ) )
| ( ( produc1223098053term_b @ SV143 )
!= ( produc1223098053term_b @ SV197 ) ) ) )
= $true )
| ( ( ( produc854192515term_b @ SV143 )
= ( produc854192515term_b @ SV197 ) )
= $false )
| ( ( ( produc1223098053term_b @ SV143 )
= ( produc1223098053term_b @ SV197 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1402]) ).
thf(1424,plain,
! [SV147: labeled_graph_b_nat,SV83: labeled_graph_b_nat] :
( ( ( SV83
= ( restrict_b_nat @ SV83 ) )
= $true )
| ( ( graph_529870330at_nat @ SV83 @ SV147 @ ( id_on_nat @ ( labele460410879_b_nat @ SV83 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1403]) ).
thf(1425,plain,
! [SV83: labeled_graph_b_nat,SV147: labeled_graph_b_nat] :
( ( ( SV147
= ( restrict_b_nat @ SV147 ) )
= $true )
| ( ( graph_529870330at_nat @ SV83 @ SV147 @ ( id_on_nat @ ( labele460410879_b_nat @ SV83 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1404]) ).
thf(1426,plain,
! [SV147: labeled_graph_b_nat,SV83: labeled_graph_b_nat] :
( ( ( ~ ( graph_529870330at_nat @ SV83 @ SV147 @ ( id_on_nat @ ( labele460410879_b_nat @ SV83 ) ) )
| ~ ~ ( ~ ~ ( ( SV83
!= ( restrict_b_nat @ SV83 ) )
| ( SV147
!= ( restrict_b_nat @ SV147 ) ) )
| ( ( graph_union_b_nat @ SV83 @ SV147 )
!= SV147 ) ) )
= $false )
| ( ( SV147
= ( restrict_b_nat @ SV147 ) )
= $false )
| ( ( SV83
= ( restrict_b_nat @ SV83 ) )
= $false )
| ( ( ( graph_union_b_nat @ SV83 @ SV147 )
= SV147 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1405]) ).
thf(1427,plain,
! [SV185: labeled_graph_b_nat,SV104: labeled_graph_b_nat,SV157: labeled_graph_b_nat,SV33: labeled_graph_b_nat] :
( ( ( ( SV33 != SV157 )
| ( SV104 != SV185 ) )
= $false )
| ( ( SV33 = SV157 )
= $false )
| ( ( SV104 = SV185 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1408]) ).
thf(1428,plain,
! [SV186: labeled_graph_b_nat,SV110: labeled_graph_b_nat,SV159: labeled_graph_b_nat,SV39: labeled_graph_b_nat] :
( ( ( ( SV39 != SV159 )
| ( SV110 != SV186 ) )
= $false )
| ( ( SV39 = SV159 )
= $false )
| ( ( SV110 = SV186 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1411]) ).
thf(1429,plain,
! [SV190: allegorical_term_b,SV124: allegorical_term_b,SV167: allegorical_term_b,SV55: allegorical_term_b] :
( ( ( ( SV55 != SV167 )
| ( SV124 != SV190 ) )
= $false )
| ( ( SV55 = SV167 )
= $false )
| ( ( SV124 = SV190 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1414]) ).
thf(1430,plain,
! [SV192: allegorical_term_b,SV132: allegorical_term_b,SV171: allegorical_term_b,SV65: allegorical_term_b] :
( ( ( ( SV65 != SV171 )
| ( SV132 != SV192 ) )
= $false )
| ( ( SV65 = SV171 )
= $false )
| ( ( SV132 = SV192 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1416]) ).
thf(1431,plain,
! [SV193: produc1235635379_b_nat,SV137: produc1235635379_b_nat] :
( ( ( ( ( produc1542243159_b_nat @ SV137 )
!= ( produc1542243159_b_nat @ SV193 ) )
| ( ( produc194497945_b_nat @ SV137 )
!= ( produc194497945_b_nat @ SV193 ) ) )
= $false )
| ( ( ( produc1542243159_b_nat @ SV137 )
= ( produc1542243159_b_nat @ SV193 ) )
= $false )
| ( ( ( produc194497945_b_nat @ SV137 )
= ( produc194497945_b_nat @ SV193 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1419]) ).
thf(1432,plain,
! [SV195: allegorical_term_b,SV139: allegorical_term_b,SV175: allegorical_term_b,SV74: allegorical_term_b] :
( ( ( ( SV74 != SV175 )
| ( SV139 != SV195 ) )
= $false )
| ( ( SV74 = SV175 )
= $false )
| ( ( SV139 = SV195 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1421]) ).
thf(1433,plain,
! [SV197: produc1478835367term_b,SV143: produc1478835367term_b] :
( ( ( ( ( produc854192515term_b @ SV143 )
!= ( produc854192515term_b @ SV197 ) )
| ( ( produc1223098053term_b @ SV143 )
!= ( produc1223098053term_b @ SV197 ) ) )
= $false )
| ( ( ( produc854192515term_b @ SV143 )
= ( produc854192515term_b @ SV197 ) )
= $false )
| ( ( ( produc1223098053term_b @ SV143 )
= ( produc1223098053term_b @ SV197 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1423]) ).
thf(1434,plain,
! [SV147: labeled_graph_b_nat,SV83: labeled_graph_b_nat] :
( ( ( ~ ( graph_529870330at_nat @ SV83 @ SV147 @ ( id_on_nat @ ( labele460410879_b_nat @ SV83 ) ) ) )
= $false )
| ( ( SV147
= ( restrict_b_nat @ SV147 ) )
= $false )
| ( ( SV83
= ( restrict_b_nat @ SV83 ) )
= $false )
| ( ( ( graph_union_b_nat @ SV83 @ SV147 )
= SV147 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1426]) ).
thf(1435,plain,
! [SV147: labeled_graph_b_nat,SV83: labeled_graph_b_nat] :
( ( ( ~ ~ ( ~ ~ ( ( SV83
!= ( restrict_b_nat @ SV83 ) )
| ( SV147
!= ( restrict_b_nat @ SV147 ) ) )
| ( ( graph_union_b_nat @ SV83 @ SV147 )
!= SV147 ) ) )
= $false )
| ( ( SV147
= ( restrict_b_nat @ SV147 ) )
= $false )
| ( ( SV83
= ( restrict_b_nat @ SV83 ) )
= $false )
| ( ( ( graph_union_b_nat @ SV83 @ SV147 )
= SV147 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1426]) ).
thf(1436,plain,
! [SV185: labeled_graph_b_nat,SV104: labeled_graph_b_nat,SV157: labeled_graph_b_nat,SV33: labeled_graph_b_nat] :
( ( ( SV33 != SV157 )
= $false )
| ( ( SV33 = SV157 )
= $false )
| ( ( SV104 = SV185 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1427]) ).
thf(1437,plain,
! [SV157: labeled_graph_b_nat,SV33: labeled_graph_b_nat,SV185: labeled_graph_b_nat,SV104: labeled_graph_b_nat] :
( ( ( SV104 != SV185 )
= $false )
| ( ( SV33 = SV157 )
= $false )
| ( ( SV104 = SV185 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1427]) ).
thf(1438,plain,
! [SV186: labeled_graph_b_nat,SV110: labeled_graph_b_nat,SV159: labeled_graph_b_nat,SV39: labeled_graph_b_nat] :
( ( ( SV39 != SV159 )
= $false )
| ( ( SV39 = SV159 )
= $false )
| ( ( SV110 = SV186 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1428]) ).
thf(1439,plain,
! [SV159: labeled_graph_b_nat,SV39: labeled_graph_b_nat,SV186: labeled_graph_b_nat,SV110: labeled_graph_b_nat] :
( ( ( SV110 != SV186 )
= $false )
| ( ( SV39 = SV159 )
= $false )
| ( ( SV110 = SV186 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1428]) ).
thf(1440,plain,
! [SV190: allegorical_term_b,SV124: allegorical_term_b,SV167: allegorical_term_b,SV55: allegorical_term_b] :
( ( ( SV55 != SV167 )
= $false )
| ( ( SV55 = SV167 )
= $false )
| ( ( SV124 = SV190 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1429]) ).
thf(1441,plain,
! [SV167: allegorical_term_b,SV55: allegorical_term_b,SV190: allegorical_term_b,SV124: allegorical_term_b] :
( ( ( SV124 != SV190 )
= $false )
| ( ( SV55 = SV167 )
= $false )
| ( ( SV124 = SV190 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1429]) ).
thf(1442,plain,
! [SV192: allegorical_term_b,SV132: allegorical_term_b,SV171: allegorical_term_b,SV65: allegorical_term_b] :
( ( ( SV65 != SV171 )
= $false )
| ( ( SV65 = SV171 )
= $false )
| ( ( SV132 = SV192 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1430]) ).
thf(1443,plain,
! [SV171: allegorical_term_b,SV65: allegorical_term_b,SV192: allegorical_term_b,SV132: allegorical_term_b] :
( ( ( SV132 != SV192 )
= $false )
| ( ( SV65 = SV171 )
= $false )
| ( ( SV132 = SV192 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1430]) ).
thf(1444,plain,
! [SV193: produc1235635379_b_nat,SV137: produc1235635379_b_nat] :
( ( ( ( produc1542243159_b_nat @ SV137 )
!= ( produc1542243159_b_nat @ SV193 ) )
= $false )
| ( ( ( produc1542243159_b_nat @ SV137 )
= ( produc1542243159_b_nat @ SV193 ) )
= $false )
| ( ( ( produc194497945_b_nat @ SV137 )
= ( produc194497945_b_nat @ SV193 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1431]) ).
thf(1445,plain,
! [SV193: produc1235635379_b_nat,SV137: produc1235635379_b_nat] :
( ( ( ( produc194497945_b_nat @ SV137 )
!= ( produc194497945_b_nat @ SV193 ) )
= $false )
| ( ( ( produc1542243159_b_nat @ SV137 )
= ( produc1542243159_b_nat @ SV193 ) )
= $false )
| ( ( ( produc194497945_b_nat @ SV137 )
= ( produc194497945_b_nat @ SV193 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1431]) ).
thf(1446,plain,
! [SV195: allegorical_term_b,SV139: allegorical_term_b,SV175: allegorical_term_b,SV74: allegorical_term_b] :
( ( ( SV74 != SV175 )
= $false )
| ( ( SV74 = SV175 )
= $false )
| ( ( SV139 = SV195 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1432]) ).
thf(1447,plain,
! [SV175: allegorical_term_b,SV74: allegorical_term_b,SV195: allegorical_term_b,SV139: allegorical_term_b] :
( ( ( SV139 != SV195 )
= $false )
| ( ( SV74 = SV175 )
= $false )
| ( ( SV139 = SV195 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1432]) ).
thf(1448,plain,
! [SV197: produc1478835367term_b,SV143: produc1478835367term_b] :
( ( ( ( produc854192515term_b @ SV143 )
!= ( produc854192515term_b @ SV197 ) )
= $false )
| ( ( ( produc854192515term_b @ SV143 )
= ( produc854192515term_b @ SV197 ) )
= $false )
| ( ( ( produc1223098053term_b @ SV143 )
= ( produc1223098053term_b @ SV197 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1433]) ).
thf(1449,plain,
! [SV197: produc1478835367term_b,SV143: produc1478835367term_b] :
( ( ( ( produc1223098053term_b @ SV143 )
!= ( produc1223098053term_b @ SV197 ) )
= $false )
| ( ( ( produc854192515term_b @ SV143 )
= ( produc854192515term_b @ SV197 ) )
= $false )
| ( ( ( produc1223098053term_b @ SV143 )
= ( produc1223098053term_b @ SV197 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1433]) ).
thf(1450,plain,
! [SV147: labeled_graph_b_nat,SV83: labeled_graph_b_nat] :
( ( ( graph_529870330at_nat @ SV83 @ SV147 @ ( id_on_nat @ ( labele460410879_b_nat @ SV83 ) ) )
= $true )
| ( ( SV147
= ( restrict_b_nat @ SV147 ) )
= $false )
| ( ( SV83
= ( restrict_b_nat @ SV83 ) )
= $false )
| ( ( ( graph_union_b_nat @ SV83 @ SV147 )
= SV147 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1434]) ).
thf(1451,plain,
! [SV147: labeled_graph_b_nat,SV83: labeled_graph_b_nat] :
( ( ( ~ ( ~ ~ ( ( SV83
!= ( restrict_b_nat @ SV83 ) )
| ( SV147
!= ( restrict_b_nat @ SV147 ) ) )
| ( ( graph_union_b_nat @ SV83 @ SV147 )
!= SV147 ) ) )
= $true )
| ( ( SV147
= ( restrict_b_nat @ SV147 ) )
= $false )
| ( ( SV83
= ( restrict_b_nat @ SV83 ) )
= $false )
| ( ( ( graph_union_b_nat @ SV83 @ SV147 )
= SV147 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1435]) ).
thf(1452,plain,
! [SV185: labeled_graph_b_nat,SV104: labeled_graph_b_nat,SV157: labeled_graph_b_nat,SV33: labeled_graph_b_nat] :
( ( ( SV33 = SV157 )
= $true )
| ( ( SV33 = SV157 )
= $false )
| ( ( SV104 = SV185 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1436]) ).
thf(1453,plain,
! [SV157: labeled_graph_b_nat,SV33: labeled_graph_b_nat,SV185: labeled_graph_b_nat,SV104: labeled_graph_b_nat] :
( ( ( SV104 = SV185 )
= $true )
| ( ( SV33 = SV157 )
= $false )
| ( ( SV104 = SV185 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1437]) ).
thf(1454,plain,
! [SV186: labeled_graph_b_nat,SV110: labeled_graph_b_nat,SV159: labeled_graph_b_nat,SV39: labeled_graph_b_nat] :
( ( ( SV39 = SV159 )
= $true )
| ( ( SV39 = SV159 )
= $false )
| ( ( SV110 = SV186 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1438]) ).
thf(1455,plain,
! [SV159: labeled_graph_b_nat,SV39: labeled_graph_b_nat,SV186: labeled_graph_b_nat,SV110: labeled_graph_b_nat] :
( ( ( SV110 = SV186 )
= $true )
| ( ( SV39 = SV159 )
= $false )
| ( ( SV110 = SV186 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1439]) ).
thf(1456,plain,
! [SV190: allegorical_term_b,SV124: allegorical_term_b,SV167: allegorical_term_b,SV55: allegorical_term_b] :
( ( ( SV55 = SV167 )
= $true )
| ( ( SV55 = SV167 )
= $false )
| ( ( SV124 = SV190 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1440]) ).
thf(1457,plain,
! [SV167: allegorical_term_b,SV55: allegorical_term_b,SV190: allegorical_term_b,SV124: allegorical_term_b] :
( ( ( SV124 = SV190 )
= $true )
| ( ( SV55 = SV167 )
= $false )
| ( ( SV124 = SV190 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1441]) ).
thf(1458,plain,
! [SV192: allegorical_term_b,SV132: allegorical_term_b,SV171: allegorical_term_b,SV65: allegorical_term_b] :
( ( ( SV65 = SV171 )
= $true )
| ( ( SV65 = SV171 )
= $false )
| ( ( SV132 = SV192 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1442]) ).
thf(1459,plain,
! [SV171: allegorical_term_b,SV65: allegorical_term_b,SV192: allegorical_term_b,SV132: allegorical_term_b] :
( ( ( SV132 = SV192 )
= $true )
| ( ( SV65 = SV171 )
= $false )
| ( ( SV132 = SV192 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1443]) ).
thf(1460,plain,
! [SV193: produc1235635379_b_nat,SV137: produc1235635379_b_nat] :
( ( ( ( produc1542243159_b_nat @ SV137 )
= ( produc1542243159_b_nat @ SV193 ) )
= $true )
| ( ( ( produc1542243159_b_nat @ SV137 )
= ( produc1542243159_b_nat @ SV193 ) )
= $false )
| ( ( ( produc194497945_b_nat @ SV137 )
= ( produc194497945_b_nat @ SV193 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1444]) ).
thf(1461,plain,
! [SV193: produc1235635379_b_nat,SV137: produc1235635379_b_nat] :
( ( ( ( produc194497945_b_nat @ SV137 )
= ( produc194497945_b_nat @ SV193 ) )
= $true )
| ( ( ( produc1542243159_b_nat @ SV137 )
= ( produc1542243159_b_nat @ SV193 ) )
= $false )
| ( ( ( produc194497945_b_nat @ SV137 )
= ( produc194497945_b_nat @ SV193 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1445]) ).
thf(1462,plain,
! [SV195: allegorical_term_b,SV139: allegorical_term_b,SV175: allegorical_term_b,SV74: allegorical_term_b] :
( ( ( SV74 = SV175 )
= $true )
| ( ( SV74 = SV175 )
= $false )
| ( ( SV139 = SV195 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1446]) ).
thf(1463,plain,
! [SV175: allegorical_term_b,SV74: allegorical_term_b,SV195: allegorical_term_b,SV139: allegorical_term_b] :
( ( ( SV139 = SV195 )
= $true )
| ( ( SV74 = SV175 )
= $false )
| ( ( SV139 = SV195 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1447]) ).
thf(1464,plain,
! [SV197: produc1478835367term_b,SV143: produc1478835367term_b] :
( ( ( ( produc854192515term_b @ SV143 )
= ( produc854192515term_b @ SV197 ) )
= $true )
| ( ( ( produc854192515term_b @ SV143 )
= ( produc854192515term_b @ SV197 ) )
= $false )
| ( ( ( produc1223098053term_b @ SV143 )
= ( produc1223098053term_b @ SV197 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1448]) ).
thf(1465,plain,
! [SV197: produc1478835367term_b,SV143: produc1478835367term_b] :
( ( ( ( produc1223098053term_b @ SV143 )
= ( produc1223098053term_b @ SV197 ) )
= $true )
| ( ( ( produc854192515term_b @ SV143 )
= ( produc854192515term_b @ SV197 ) )
= $false )
| ( ( ( produc1223098053term_b @ SV143 )
= ( produc1223098053term_b @ SV197 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1449]) ).
thf(1466,plain,
! [SV147: labeled_graph_b_nat,SV83: labeled_graph_b_nat] :
( ( ( ~ ~ ( ( SV83
!= ( restrict_b_nat @ SV83 ) )
| ( SV147
!= ( restrict_b_nat @ SV147 ) ) )
| ( ( graph_union_b_nat @ SV83 @ SV147 )
!= SV147 ) )
= $false )
| ( ( SV147
= ( restrict_b_nat @ SV147 ) )
= $false )
| ( ( SV83
= ( restrict_b_nat @ SV83 ) )
= $false )
| ( ( ( graph_union_b_nat @ SV83 @ SV147 )
= SV147 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1451]) ).
thf(1467,plain,
! [SV147: labeled_graph_b_nat,SV83: labeled_graph_b_nat] :
( ( ( ~ ~ ( ( SV83
!= ( restrict_b_nat @ SV83 ) )
| ( SV147
!= ( restrict_b_nat @ SV147 ) ) ) )
= $false )
| ( ( SV147
= ( restrict_b_nat @ SV147 ) )
= $false )
| ( ( SV83
= ( restrict_b_nat @ SV83 ) )
= $false )
| ( ( ( graph_union_b_nat @ SV83 @ SV147 )
= SV147 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1466]) ).
thf(1468,plain,
! [SV147: labeled_graph_b_nat,SV83: labeled_graph_b_nat] :
( ( ( ( graph_union_b_nat @ SV83 @ SV147 )
!= SV147 )
= $false )
| ( ( SV147
= ( restrict_b_nat @ SV147 ) )
= $false )
| ( ( SV83
= ( restrict_b_nat @ SV83 ) )
= $false )
| ( ( ( graph_union_b_nat @ SV83 @ SV147 )
= SV147 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1466]) ).
thf(1469,plain,
! [SV147: labeled_graph_b_nat,SV83: labeled_graph_b_nat] :
( ( ( ~ ( ( SV83
!= ( restrict_b_nat @ SV83 ) )
| ( SV147
!= ( restrict_b_nat @ SV147 ) ) ) )
= $true )
| ( ( SV147
= ( restrict_b_nat @ SV147 ) )
= $false )
| ( ( SV83
= ( restrict_b_nat @ SV83 ) )
= $false )
| ( ( ( graph_union_b_nat @ SV83 @ SV147 )
= SV147 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1467]) ).
thf(1470,plain,
! [SV147: labeled_graph_b_nat,SV83: labeled_graph_b_nat] :
( ( ( ( graph_union_b_nat @ SV83 @ SV147 )
= SV147 )
= $true )
| ( ( SV147
= ( restrict_b_nat @ SV147 ) )
= $false )
| ( ( SV83
= ( restrict_b_nat @ SV83 ) )
= $false )
| ( ( ( graph_union_b_nat @ SV83 @ SV147 )
= SV147 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1468]) ).
thf(1471,plain,
! [SV147: labeled_graph_b_nat,SV83: labeled_graph_b_nat] :
( ( ( ( SV83
!= ( restrict_b_nat @ SV83 ) )
| ( SV147
!= ( restrict_b_nat @ SV147 ) ) )
= $false )
| ( ( SV147
= ( restrict_b_nat @ SV147 ) )
= $false )
| ( ( SV83
= ( restrict_b_nat @ SV83 ) )
= $false )
| ( ( ( graph_union_b_nat @ SV83 @ SV147 )
= SV147 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1469]) ).
thf(1472,plain,
! [SV147: labeled_graph_b_nat,SV83: labeled_graph_b_nat] :
( ( ( SV83
!= ( restrict_b_nat @ SV83 ) )
= $false )
| ( ( SV147
= ( restrict_b_nat @ SV147 ) )
= $false )
| ( ( SV83
= ( restrict_b_nat @ SV83 ) )
= $false )
| ( ( ( graph_union_b_nat @ SV83 @ SV147 )
= SV147 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1471]) ).
thf(1473,plain,
! [SV83: labeled_graph_b_nat,SV147: labeled_graph_b_nat] :
( ( ( SV147
!= ( restrict_b_nat @ SV147 ) )
= $false )
| ( ( SV147
= ( restrict_b_nat @ SV147 ) )
= $false )
| ( ( SV83
= ( restrict_b_nat @ SV83 ) )
= $false )
| ( ( ( graph_union_b_nat @ SV83 @ SV147 )
= SV147 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1471]) ).
thf(1474,plain,
! [SV147: labeled_graph_b_nat,SV83: labeled_graph_b_nat] :
( ( ( SV83
= ( restrict_b_nat @ SV83 ) )
= $true )
| ( ( SV147
= ( restrict_b_nat @ SV147 ) )
= $false )
| ( ( SV83
= ( restrict_b_nat @ SV83 ) )
= $false )
| ( ( ( graph_union_b_nat @ SV83 @ SV147 )
= SV147 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1472]) ).
thf(1475,plain,
! [SV83: labeled_graph_b_nat,SV147: labeled_graph_b_nat] :
( ( ( SV147
= ( restrict_b_nat @ SV147 ) )
= $true )
| ( ( SV147
= ( restrict_b_nat @ SV147 ) )
= $false )
| ( ( SV83
= ( restrict_b_nat @ SV83 ) )
= $false )
| ( ( ( graph_union_b_nat @ SV83 @ SV147 )
= SV147 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1473]) ).
thf(1476,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[545,1475,1474,1470,1465,1464,1463,1462,1461,1460,1459,1458,1457,1456,1455,1454,1453,1452,1450,1425,1424,1422,1420,1418,1417,1415,1413,1412,1410,1409,1407,1406,1400,1399,1396,1395,1392,1391,1387,1386,1383,1382,1378,1377,1373,1372,1342,1333,1332,1326,1325,1321,1320,1316,1315,1314,1313,1307,1306,1305,1302,1301,1300,1297,1291,1288,1282,1276,1253,1252,1251,1250,1231,1230,1228,1227,1224,1213,1204,1203,1202,1199,1194,1189,1186,1185,1175,1162,1161,1160,1159,1156,1155,1152,1151,1136,1135,1134,1133,1132,1131,1130,1129,1128,1127,1121,1110,1108,1095,1083,1074,1072,1067,1064,1063,1056,1053,1039,1034,1030,1027,1022,1012,1010,1002,1001,998,997,995,992,990,984,982,978,977,975,974,970,967,966,959,958,956,952,947,915,913,904,885,875,870,861,856,848,844,819,813,806,802,725,724,723,722,721,720,719,718,716,702,694,646,645,644,643,640,639,638,637,636,635,630,629,628,626,625,624,623,622,546]) ).
thf(1477,plain,
( ( ! [X: allegorical_term_b,Y: allegorical_term_b] :
( ( graph_529870330at_nat @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ ( translation_b @ X ) @ ( translation_b @ ( allegorical_A_Int_b @ X @ Y ) ) ) ) @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ X ) @ ( translation_b @ ( allegorical_A_Int_b @ X @ Y ) ) ) ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ ( translation_b @ X ) @ ( translation_b @ ( allegorical_A_Int_b @ X @ Y ) ) ) ) ) ) )
& ( ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ X ) @ ( translation_b @ ( allegorical_A_Int_b @ X @ Y ) ) ) )
= ( restrict_b_nat @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ X ) @ ( translation_b @ ( allegorical_A_Int_b @ X @ Y ) ) ) ) ) )
& ( finite_finite_nat @ ( labele460410879_b_nat @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ X ) @ ( translation_b @ ( allegorical_A_Int_b @ X @ Y ) ) ) ) ) )
& ( finite1987068434at_nat @ ( labeled_edges_b_nat @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ X ) @ ( translation_b @ ( allegorical_A_Int_b @ X @ Y ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[451]) ).
thf(1478,plain,
( ( ! [G: labeled_graph_b_nat] :
( ( graph_529870330at_nat @ G @ G @ ( id_on_nat @ ( labele460410879_b_nat @ G ) ) )
= ( G
= ( restrict_b_nat @ G ) ) ) )
= $true ),
inference(copy,[status(thm)],[450]) ).
thf(1479,plain,
( ( ! [G: labeled_graph_b_nat] :
( ( graph_529870330at_nat @ G @ ( restrict_b_nat @ G ) @ ( id_on_nat @ ( labele460410879_b_nat @ G ) ) )
= ( G
= ( restrict_b_nat @ G ) ) ) )
= $true ),
inference(copy,[status(thm)],[449]) ).
thf(1480,plain,
( ( ! [A: labeled_graph_b_nat] : ( graph_529870330at_nat @ ( restrict_b_nat @ A ) @ ( restrict_b_nat @ A ) @ ( id_on_nat @ ( labele460410879_b_nat @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[448]) ).
thf(1481,plain,
( ( ! [X: allegorical_term_b] : ( finite1987068434at_nat @ ( labeled_edges_b_nat @ ( translation_b @ X ) ) ) )
= $true ),
inference(copy,[status(thm)],[447]) ).
thf(1482,plain,
( ( ( graph_529870330at_nat @ ( produc1542243159_b_nat @ standa879863266rule_b ) @ ( produc194497945_b_nat @ standa879863266rule_b ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ standa879863266rule_b ) ) ) )
& ( ( produc194497945_b_nat @ standa879863266rule_b )
= ( restrict_b_nat @ ( produc194497945_b_nat @ standa879863266rule_b ) ) )
& ( finite_finite_nat @ ( labele460410879_b_nat @ ( produc194497945_b_nat @ standa879863266rule_b ) ) )
& ( finite1987068434at_nat @ ( labeled_edges_b_nat @ ( produc194497945_b_nat @ standa879863266rule_b ) ) ) )
= $true ),
inference(copy,[status(thm)],[446]) ).
thf(1483,plain,
( ( ! [T: b] :
( ( graph_529870330at_nat @ ( produc1542243159_b_nat @ ( standa1360217389rule_b @ T ) ) @ ( produc194497945_b_nat @ ( standa1360217389rule_b @ T ) ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ ( standa1360217389rule_b @ T ) ) ) ) )
& ( ( produc194497945_b_nat @ ( standa1360217389rule_b @ T ) )
= ( restrict_b_nat @ ( produc194497945_b_nat @ ( standa1360217389rule_b @ T ) ) ) )
& ( finite_finite_nat @ ( labele460410879_b_nat @ ( produc194497945_b_nat @ ( standa1360217389rule_b @ T ) ) ) )
& ( finite1987068434at_nat @ ( labeled_edges_b_nat @ ( produc194497945_b_nat @ ( standa1360217389rule_b @ T ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[445]) ).
thf(1484,plain,
( ( ! [X: allegorical_term_b] : ( finite_finite_nat @ ( labele460410879_b_nat @ ( translation_b @ X ) ) ) )
= $true ),
inference(copy,[status(thm)],[444]) ).
thf(1485,plain,
( ( ! [I: b] :
( ( graph_529870330at_nat @ ( produc1542243159_b_nat @ ( standa1329480013rule_b @ I ) ) @ ( produc194497945_b_nat @ ( standa1329480013rule_b @ I ) ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ ( standa1329480013rule_b @ I ) ) ) ) )
& ( ( produc194497945_b_nat @ ( standa1329480013rule_b @ I ) )
= ( restrict_b_nat @ ( produc194497945_b_nat @ ( standa1329480013rule_b @ I ) ) ) )
& ( finite_finite_nat @ ( labele460410879_b_nat @ ( produc194497945_b_nat @ ( standa1329480013rule_b @ I ) ) ) )
& ( finite1987068434at_nat @ ( labeled_edges_b_nat @ ( produc194497945_b_nat @ ( standa1329480013rule_b @ I ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[443]) ).
thf(1486,plain,
( ( ! [Prod: produc1478835367term_b] :
( ( produc1990145943term_b @ ( produc854192515term_b @ Prod ) @ ( produc1223098053term_b @ Prod ) )
= Prod ) )
= $true ),
inference(copy,[status(thm)],[442]) ).
thf(1487,plain,
( ( ! [Prod: produc1235635379_b_nat] :
( ( produc951298923_b_nat @ ( produc1542243159_b_nat @ Prod ) @ ( produc194497945_b_nat @ Prod ) )
= Prod ) )
= $true ),
inference(copy,[status(thm)],[441]) ).
thf(1488,plain,
( ( translation_b
= ( ^ [X2: allegorical_term_b] : ( restrict_b_nat @ ( translation_b @ X2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[440]) ).
thf(1489,plain,
( ( ! [G: labeled_graph_b_nat] :
( ( labele460410879_b_nat @ ( restrict_b_nat @ G ) )
= ( labele460410879_b_nat @ G ) ) )
= $true ),
inference(copy,[status(thm)],[439]) ).
thf(1490,plain,
( ( ! [A: labeled_graph_b_nat,B: labeled_graph_b_nat,A2: labeled_graph_b_nat,B2: labeled_graph_b_nat] :
( ( ( produc951298923_b_nat @ A @ B )
= ( produc951298923_b_nat @ A2 @ B2 ) )
= ( ( A = A2 )
& ( B = B2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[438]) ).
thf(1491,plain,
( ( ! [A: allegorical_term_b,B: allegorical_term_b,A2: allegorical_term_b,B2: allegorical_term_b] :
( ( ( produc1990145943term_b @ A @ B )
= ( produc1990145943term_b @ A2 @ B2 ) )
= ( ( A = A2 )
& ( B = B2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[437]) ).
thf(1492,plain,
( ( ! [X1: labeled_graph_b_nat,X22: labeled_graph_b_nat,Y1: labeled_graph_b_nat,Y2: labeled_graph_b_nat] :
( ( ( produc951298923_b_nat @ X1 @ X22 )
= ( produc951298923_b_nat @ Y1 @ Y2 ) )
= ( ( X1 = Y1 )
& ( X22 = Y2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[436]) ).
thf(1493,plain,
( ( ! [X1: allegorical_term_b,X22: allegorical_term_b,Y1: allegorical_term_b,Y2: allegorical_term_b] :
( ( ( produc1990145943term_b @ X1 @ X22 )
= ( produc1990145943term_b @ Y1 @ Y2 ) )
= ( ( X1 = Y1 )
& ( X22 = Y2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[435]) ).
thf(1494,plain,
( ( ! [X3: labeled_graph_b_nat] :
( ( restrict_b_nat @ ( restrict_b_nat @ X3 ) )
= ( restrict_b_nat @ X3 ) ) )
= $true ),
inference(copy,[status(thm)],[434]) ).
thf(1495,plain,
( ( ! [P: produc1235635379_b_nat > $o,Prod: produc1235635379_b_nat] :
( ! [A3: labeled_graph_b_nat,B3: labeled_graph_b_nat] : ( P @ ( produc951298923_b_nat @ A3 @ B3 ) )
=> ( P @ Prod ) ) )
= $true ),
inference(copy,[status(thm)],[433]) ).
thf(1496,plain,
( ( ! [P: produc1478835367term_b > $o,Prod: produc1478835367term_b] :
( ! [A3: allegorical_term_b,B3: allegorical_term_b] : ( P @ ( produc1990145943term_b @ A3 @ B3 ) )
=> ( P @ Prod ) ) )
= $true ),
inference(copy,[status(thm)],[432]) ).
thf(1497,plain,
( ( ! [Y3: produc1235635379_b_nat] :
~ ! [A3: labeled_graph_b_nat,B3: labeled_graph_b_nat] :
( Y3
!= ( produc951298923_b_nat @ A3 @ B3 ) ) )
= $true ),
inference(copy,[status(thm)],[431]) ).
thf(1498,plain,
( ( ! [Y3: produc1478835367term_b] :
~ ! [A3: allegorical_term_b,B3: allegorical_term_b] :
( Y3
!= ( produc1990145943term_b @ A3 @ B3 ) ) )
= $true ),
inference(copy,[status(thm)],[430]) ).
thf(1499,plain,
( ( ! [A: labeled_graph_b_nat,B: labeled_graph_b_nat,A2: labeled_graph_b_nat,B2: labeled_graph_b_nat] :
( ( ( produc951298923_b_nat @ A @ B )
= ( produc951298923_b_nat @ A2 @ B2 ) )
=> ~ ( ( A = A2 )
=> ( B != B2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[429]) ).
thf(1500,plain,
( ( ! [A: allegorical_term_b,B: allegorical_term_b,A2: allegorical_term_b,B2: allegorical_term_b] :
( ( ( produc1990145943term_b @ A @ B )
= ( produc1990145943term_b @ A2 @ B2 ) )
=> ~ ( ( A = A2 )
=> ( B != B2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[428]) ).
thf(1501,plain,
( ( ! [P: produc1235635379_b_nat > $o,P2: produc1235635379_b_nat] :
( ! [A3: labeled_graph_b_nat,B3: labeled_graph_b_nat] : ( P @ ( produc951298923_b_nat @ A3 @ B3 ) )
=> ( P @ P2 ) ) )
= $true ),
inference(copy,[status(thm)],[427]) ).
thf(1502,plain,
( ( ! [P: produc1478835367term_b > $o,P2: produc1478835367term_b] :
( ! [A3: allegorical_term_b,B3: allegorical_term_b] : ( P @ ( produc1990145943term_b @ A3 @ B3 ) )
=> ( P @ P2 ) ) )
= $true ),
inference(copy,[status(thm)],[426]) ).
thf(1503,plain,
( ( ! [P2: produc1235635379_b_nat] :
? [X4: labeled_graph_b_nat,Y4: labeled_graph_b_nat] :
( P2
= ( produc951298923_b_nat @ X4 @ Y4 ) ) )
= $true ),
inference(copy,[status(thm)],[425]) ).
thf(1504,plain,
( ( ! [P2: produc1478835367term_b] :
? [X4: allegorical_term_b,Y4: allegorical_term_b] :
( P2
= ( produc1990145943term_b @ X4 @ Y4 ) ) )
= $true ),
inference(copy,[status(thm)],[424]) ).
thf(1505,plain,
( ( ! [X1: labeled_graph_b_nat,X22: labeled_graph_b_nat] :
( ( produc1542243159_b_nat @ ( produc951298923_b_nat @ X1 @ X22 ) )
= X1 ) )
= $true ),
inference(copy,[status(thm)],[423]) ).
thf(1506,plain,
( ( ! [X1: allegorical_term_b,X22: allegorical_term_b] :
( ( produc854192515term_b @ ( produc1990145943term_b @ X1 @ X22 ) )
= X1 ) )
= $true ),
inference(copy,[status(thm)],[422]) ).
thf(1507,plain,
( ( ! [X3: labeled_graph_b_nat,Y3: labeled_graph_b_nat,A: labeled_graph_b_nat] :
( ( ( produc1542243159_b_nat @ ( produc951298923_b_nat @ X3 @ Y3 ) )
= A )
=> ( X3 = A ) ) )
= $true ),
inference(copy,[status(thm)],[421]) ).
thf(1508,plain,
( ( ! [X3: allegorical_term_b,Y3: allegorical_term_b,A: allegorical_term_b] :
( ( ( produc854192515term_b @ ( produc1990145943term_b @ X3 @ Y3 ) )
= A )
=> ( X3 = A ) ) )
= $true ),
inference(copy,[status(thm)],[420]) ).
thf(1509,plain,
( ( ! [X1: allegorical_term_b,X22: allegorical_term_b] :
( ( produc1223098053term_b @ ( produc1990145943term_b @ X1 @ X22 ) )
= X22 ) )
= $true ),
inference(copy,[status(thm)],[419]) ).
thf(1510,plain,
( ( ! [X1: labeled_graph_b_nat,X22: labeled_graph_b_nat] :
( ( produc194497945_b_nat @ ( produc951298923_b_nat @ X1 @ X22 ) )
= X22 ) )
= $true ),
inference(copy,[status(thm)],[418]) ).
thf(1511,plain,
( ( ! [X3: allegorical_term_b,Y3: allegorical_term_b,A: allegorical_term_b] :
( ( ( produc1223098053term_b @ ( produc1990145943term_b @ X3 @ Y3 ) )
= A )
=> ( Y3 = A ) ) )
= $true ),
inference(copy,[status(thm)],[417]) ).
thf(1512,plain,
( ( ! [X3: labeled_graph_b_nat,Y3: labeled_graph_b_nat,A: labeled_graph_b_nat] :
( ( ( produc194497945_b_nat @ ( produc951298923_b_nat @ X3 @ Y3 ) )
= A )
=> ( Y3 = A ) ) )
= $true ),
inference(copy,[status(thm)],[416]) ).
thf(1513,plain,
( ( ( ^ [Y5: produc1478835367term_b,Z: produc1478835367term_b] : ( Y5 = Z ) )
= ( ^ [S: produc1478835367term_b,T2: produc1478835367term_b] :
( ( ( produc854192515term_b @ S )
= ( produc854192515term_b @ T2 ) )
& ( ( produc1223098053term_b @ S )
= ( produc1223098053term_b @ T2 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[415]) ).
thf(1514,plain,
( ( ( ^ [Y5: produc1235635379_b_nat,Z: produc1235635379_b_nat] : ( Y5 = Z ) )
= ( ^ [S: produc1235635379_b_nat,T2: produc1235635379_b_nat] :
( ( ( produc1542243159_b_nat @ S )
= ( produc1542243159_b_nat @ T2 ) )
& ( ( produc194497945_b_nat @ S )
= ( produc194497945_b_nat @ T2 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[414]) ).
thf(1515,plain,
( ( ! [Prod: produc1478835367term_b,Prod2: produc1478835367term_b] :
( ( ( ( produc854192515term_b @ Prod )
= ( produc854192515term_b @ Prod2 ) )
& ( ( produc1223098053term_b @ Prod )
= ( produc1223098053term_b @ Prod2 ) ) )
=> ( Prod = Prod2 ) ) )
= $true ),
inference(copy,[status(thm)],[413]) ).
thf(1516,plain,
( ( ! [Prod: produc1235635379_b_nat,Prod2: produc1235635379_b_nat] :
( ( ( ( produc1542243159_b_nat @ Prod )
= ( produc1542243159_b_nat @ Prod2 ) )
& ( ( produc194497945_b_nat @ Prod )
= ( produc194497945_b_nat @ Prod2 ) ) )
=> ( Prod = Prod2 ) ) )
= $true ),
inference(copy,[status(thm)],[412]) ).
thf(1517,plain,
( ( ! [P2: produc1478835367term_b,Q: produc1478835367term_b] :
( ( ( produc854192515term_b @ P2 )
= ( produc854192515term_b @ Q ) )
=> ( ( ( produc1223098053term_b @ P2 )
= ( produc1223098053term_b @ Q ) )
=> ( P2 = Q ) ) ) )
= $true ),
inference(copy,[status(thm)],[411]) ).
thf(1518,plain,
( ( ! [P2: produc1235635379_b_nat,Q: produc1235635379_b_nat] :
( ( ( produc1542243159_b_nat @ P2 )
= ( produc1542243159_b_nat @ Q ) )
=> ( ( ( produc194497945_b_nat @ P2 )
= ( produc194497945_b_nat @ Q ) )
=> ( P2 = Q ) ) ) )
= $true ),
inference(copy,[status(thm)],[410]) ).
thf(1519,plain,
( ( ! [Labeled_graph: labeled_graph_b_nat,Labeled_graph2: labeled_graph_b_nat] :
( ( ( ( labeled_edges_b_nat @ Labeled_graph )
= ( labeled_edges_b_nat @ Labeled_graph2 ) )
& ( ( labele460410879_b_nat @ Labeled_graph )
= ( labele460410879_b_nat @ Labeled_graph2 ) ) )
=> ( Labeled_graph = Labeled_graph2 ) ) )
= $true ),
inference(copy,[status(thm)],[409]) ).
thf(1520,plain,
( ( ! [T: produc1478835367term_b] :
( T
= ( produc1990145943term_b @ ( produc854192515term_b @ T ) @ ( produc1223098053term_b @ T ) ) ) )
= $true ),
inference(copy,[status(thm)],[408]) ).
thf(1521,plain,
( ( ! [T: produc1235635379_b_nat] :
( T
= ( produc951298923_b_nat @ ( produc1542243159_b_nat @ T ) @ ( produc194497945_b_nat @ T ) ) ) )
= $true ),
inference(copy,[status(thm)],[407]) ).
thf(1522,plain,
( ( ! [Prod: produc1478835367term_b] :
( Prod
= ( produc1990145943term_b @ ( produc854192515term_b @ Prod ) @ ( produc1223098053term_b @ Prod ) ) ) )
= $true ),
inference(copy,[status(thm)],[406]) ).
thf(1523,plain,
( ( ! [Prod: produc1235635379_b_nat] :
( Prod
= ( produc951298923_b_nat @ ( produc1542243159_b_nat @ Prod ) @ ( produc194497945_b_nat @ Prod ) ) ) )
= $true ),
inference(copy,[status(thm)],[405]) ).
thf(1524,plain,
( ( ! [A4: labeled_graph_b_nat,B4: labeled_graph_b_nat,X: labeled_graph_b_nat,H: set_Pr1986765409at_nat] :
( ( graph_529870330at_nat @ A4 @ B4 @ ( id_on_nat @ ( labele460410879_b_nat @ A4 ) ) )
=> ( ( graph_529870330at_nat @ X @ A4 @ H )
=> ( graph_529870330at_nat @ X @ B4 @ H ) ) ) )
= $true ),
inference(copy,[status(thm)],[404]) ).
thf(1525,plain,
( ( ! [G_1: labeled_graph_b_nat,G_2: labeled_graph_b_nat,G_3: labeled_graph_b_nat] :
( ( graph_529870330at_nat @ G_1 @ G_2 @ ( id_on_nat @ ( labele460410879_b_nat @ G_1 ) ) )
=> ( ( graph_529870330at_nat @ G_2 @ G_3 @ ( id_on_nat @ ( labele460410879_b_nat @ G_2 ) ) )
=> ( graph_529870330at_nat @ G_1 @ G_3 @ ( id_on_nat @ ( labele460410879_b_nat @ G_1 ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[403]) ).
thf(1526,plain,
( ( ! [X: allegorical_term_b] : ( inv_translation @ ( labele460410879_b_nat @ ( translation_b @ X ) ) ) )
= $true ),
inference(copy,[status(thm)],[402]) ).
thf(1527,plain,
( ( ! [P: allegorical_term_b > allegorical_term_b > $o,X3: allegorical_term_b,Y3: allegorical_term_b,A: produc1478835367term_b] :
( ( P @ X3 @ Y3 )
=> ( ( A
= ( produc1990145943term_b @ X3 @ Y3 ) )
=> ( P @ ( produc854192515term_b @ A ) @ ( produc1223098053term_b @ A ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[401]) ).
thf(1528,plain,
( ( ! [P: labeled_graph_b_nat > labeled_graph_b_nat > $o,X3: labeled_graph_b_nat,Y3: labeled_graph_b_nat,A: produc1235635379_b_nat] :
( ( P @ X3 @ Y3 )
=> ( ( A
= ( produc951298923_b_nat @ X3 @ Y3 ) )
=> ( P @ ( produc1542243159_b_nat @ A ) @ ( produc194497945_b_nat @ A ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[400]) ).
thf(1529,plain,
( ( ! [P: allegorical_term_b > $o,P2: allegorical_term_b,Q2: allegorical_term_b > $o,Q: allegorical_term_b] :
( ( P @ P2 )
=> ( ( Q2 @ Q )
=> ( ( P @ ( produc854192515term_b @ ( produc1990145943term_b @ P2 @ Q ) ) )
& ( Q2 @ ( produc1223098053term_b @ ( produc1990145943term_b @ P2 @ Q ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[399]) ).
thf(1530,plain,
( ( ! [P: labeled_graph_b_nat > $o,P2: labeled_graph_b_nat,Q2: labeled_graph_b_nat > $o,Q: labeled_graph_b_nat] :
( ( P @ P2 )
=> ( ( Q2 @ Q )
=> ( ( P @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ P2 @ Q ) ) )
& ( Q2 @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ P2 @ Q ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[398]) ).
thf(1531,plain,
( ( ! [P: allegorical_term_b > allegorical_term_b > $o,Y3: allegorical_term_b,X3: allegorical_term_b] :
( ( P @ Y3 @ X3 )
=> ( P @ ( produc1223098053term_b @ ( produc1990145943term_b @ X3 @ Y3 ) ) @ ( produc854192515term_b @ ( produc1990145943term_b @ X3 @ Y3 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[397]) ).
thf(1532,plain,
( ( ! [P: labeled_graph_b_nat > labeled_graph_b_nat > $o,Y3: labeled_graph_b_nat,X3: labeled_graph_b_nat] :
( ( P @ Y3 @ X3 )
=> ( P @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ X3 @ Y3 ) ) @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ X3 @ Y3 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[396]) ).
thf(1533,plain,
( ( ! [X11: allegorical_term_b,X12: allegorical_term_b,Y11: allegorical_term_b,Y12: allegorical_term_b] :
( ( ( allegorical_A_Int_b @ X11 @ X12 )
= ( allegorical_A_Int_b @ Y11 @ Y12 ) )
= ( ( X11 = Y11 )
& ( X12 = Y12 ) ) ) )
= $true ),
inference(copy,[status(thm)],[395]) ).
thf(1534,plain,
( ( ! [R: labeled_graph_b_nat,G: labeled_graph_b_nat,F3: set_Pr1986765409at_nat] :
( ( graph_529870330at_nat @ R @ G @ F3 )
=> ( extensible_b_nat_nat @ ( produc951298923_b_nat @ R @ R ) @ G @ F3 ) ) )
= $true ),
inference(copy,[status(thm)],[394]) ).
thf(1535,plain,
( ( ! [P: allegorical_term_b > allegorical_term_b > $o,P2: produc1478835367term_b] :
( ( P @ ( produc1223098053term_b @ P2 ) @ ( produc854192515term_b @ P2 ) )
=> ~ ! [X4: allegorical_term_b,Y4: allegorical_term_b] :
~ ( P @ Y4 @ X4 ) ) )
= $true ),
inference(copy,[status(thm)],[393]) ).
thf(1536,plain,
( ( ! [P: labeled_graph_b_nat > labeled_graph_b_nat > $o,P2: produc1235635379_b_nat] :
( ( P @ ( produc194497945_b_nat @ P2 ) @ ( produc1542243159_b_nat @ P2 ) )
=> ~ ! [X4: labeled_graph_b_nat,Y4: labeled_graph_b_nat] :
~ ( P @ Y4 @ X4 ) ) )
= $true ),
inference(copy,[status(thm)],[392]) ).
thf(1537,plain,
( ( ! [X3: produc1478835367term_b,Y3: allegorical_term_b,Z2: allegorical_term_b] :
( ( X3
= ( produc1990145943term_b @ Y3 @ Z2 ) )
=> ( ( produc1223098053term_b @ X3 )
= Z2 ) ) )
= $true ),
inference(copy,[status(thm)],[391]) ).
thf(1538,plain,
( ( ! [X3: produc1235635379_b_nat,Y3: labeled_graph_b_nat,Z2: labeled_graph_b_nat] :
( ( X3
= ( produc951298923_b_nat @ Y3 @ Z2 ) )
=> ( ( produc194497945_b_nat @ X3 )
= Z2 ) ) )
= $true ),
inference(copy,[status(thm)],[390]) ).
thf(1539,plain,
( ( ! [X3: produc1235635379_b_nat,Y3: labeled_graph_b_nat,Z2: labeled_graph_b_nat] :
( ( X3
= ( produc951298923_b_nat @ Y3 @ Z2 ) )
=> ( ( produc1542243159_b_nat @ X3 )
= Y3 ) ) )
= $true ),
inference(copy,[status(thm)],[389]) ).
thf(1540,plain,
( ( ! [X3: produc1478835367term_b,Y3: allegorical_term_b,Z2: allegorical_term_b] :
( ( X3
= ( produc1990145943term_b @ Y3 @ Z2 ) )
=> ( ( produc854192515term_b @ X3 )
= Y3 ) ) )
= $true ),
inference(copy,[status(thm)],[388]) ).
thf(1541,plain,
( ( ! [S2: nat > labeled_graph_b_nat,I: nat] :
( ( chain_b_nat @ S2 )
=> ( ( S2 @ I )
= ( restrict_b_nat @ ( S2 @ I ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[387]) ).
thf(1542,plain,
( ( ! [B: allegorical_term_b,P2: produc1478835367term_b] :
( ( B
= ( produc1223098053term_b @ P2 ) )
= ( ? [A5: allegorical_term_b] :
( P2
= ( produc1990145943term_b @ A5 @ B ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[386]) ).
thf(1543,plain,
( ( ! [B: labeled_graph_b_nat,P2: produc1235635379_b_nat] :
( ( B
= ( produc194497945_b_nat @ P2 ) )
= ( ? [A5: labeled_graph_b_nat] :
( P2
= ( produc951298923_b_nat @ A5 @ B ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[385]) ).
thf(1544,plain,
( ( ! [A: labeled_graph_b_nat,P2: produc1235635379_b_nat] :
( ( A
= ( produc1542243159_b_nat @ P2 ) )
= ( ? [B5: labeled_graph_b_nat] :
( P2
= ( produc951298923_b_nat @ A @ B5 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[384]) ).
thf(1545,plain,
( ( ! [A: allegorical_term_b,P2: produc1478835367term_b] :
( ( A
= ( produc854192515term_b @ P2 ) )
= ( ? [B5: allegorical_term_b] :
( P2
= ( produc1990145943term_b @ A @ B5 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[383]) ).
thf(1546,plain,
( ( ! [Labeled_graph: labeled_graph_b_nat] :
( ( labeled_LG_b_nat @ ( labeled_edges_b_nat @ Labeled_graph ) @ ( labele460410879_b_nat @ Labeled_graph ) )
= Labeled_graph ) )
= $true ),
inference(copy,[status(thm)],[382]) ).
thf(1547,plain,
( ( ! [A4: set_nat,B4: set_nat] :
( ( ord_less_eq_set_nat @ A4 @ B4 )
=> ( ( finite_finite_nat @ B4 )
=> ( finite_finite_nat @ A4 ) ) ) )
= $true ),
inference(copy,[status(thm)],[381]) ).
thf(1548,plain,
( ( ! [A4: set_Pr9961929at_nat,B4: set_Pr9961929at_nat] :
( ( ord_le910748009at_nat @ A4 @ B4 )
=> ( ( finite1987068434at_nat @ B4 )
=> ( finite1987068434at_nat @ A4 ) ) ) )
= $true ),
inference(copy,[status(thm)],[380]) ).
thf(1549,plain,
( ( ! [S2: set_nat,T3: set_nat] :
( ( ord_less_eq_set_nat @ S2 @ T3 )
=> ( ~ ( finite_finite_nat @ S2 )
=> ~ ( finite_finite_nat @ T3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[379]) ).
thf(1550,plain,
( ( ! [S2: set_Pr9961929at_nat,T3: set_Pr9961929at_nat] :
( ( ord_le910748009at_nat @ S2 @ T3 )
=> ( ~ ( finite1987068434at_nat @ S2 )
=> ~ ( finite1987068434at_nat @ T3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[378]) ).
thf(1551,plain,
( ( ! [B4: set_nat,A4: set_nat] :
( ( finite_finite_nat @ B4 )
=> ( ( ord_less_eq_set_nat @ A4 @ B4 )
=> ( finite_finite_nat @ A4 ) ) ) )
= $true ),
inference(copy,[status(thm)],[377]) ).
thf(1552,plain,
( ( ! [B4: set_Pr9961929at_nat,A4: set_Pr9961929at_nat] :
( ( finite1987068434at_nat @ B4 )
=> ( ( ord_le910748009at_nat @ A4 @ B4 )
=> ( finite1987068434at_nat @ A4 ) ) ) )
= $true ),
inference(copy,[status(thm)],[376]) ).
thf(1553,plain,
( ( ! [X1: set_Pr9961929at_nat,X22: set_nat] :
( ( labele460410879_b_nat @ ( labeled_LG_b_nat @ X1 @ X22 ) )
= X22 ) )
= $true ),
inference(copy,[status(thm)],[375]) ).
thf(1554,plain,
( ( ! [X1: set_Pr9961929at_nat,X22: set_nat] :
( ( labeled_edges_b_nat @ ( labeled_LG_b_nat @ X1 @ X22 ) )
= X1 ) )
= $true ),
inference(copy,[status(thm)],[374]) ).
thf(1555,plain,
( ( ! [G: labeled_graph_b_nat] :
( ( ord_le910748009at_nat @ ( labeled_edges_b_nat @ G ) @ ( labeled_edges_b_nat @ ( restrict_b_nat @ G ) ) )
=> ( G
= ( restrict_b_nat @ G ) ) ) )
= $true ),
inference(copy,[status(thm)],[373]) ).
thf(1556,plain,
( ( ! [Labeled_graph: labeled_graph_b_nat] :
( Labeled_graph
= ( labeled_LG_b_nat @ ( labeled_edges_b_nat @ Labeled_graph ) @ ( labele460410879_b_nat @ Labeled_graph ) ) ) )
= $true ),
inference(copy,[status(thm)],[372]) ).
thf(1557,plain,
( ( ! [G_1: labeled_graph_b_nat,G_2: labeled_graph_b_nat] :
( ( graph_529870330at_nat @ G_1 @ G_2 @ ( id_on_nat @ ( labele460410879_b_nat @ G_1 ) ) )
=> ( ord_less_eq_set_nat @ ( labele460410879_b_nat @ G_1 ) @ ( labele460410879_b_nat @ G_2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[371]) ).
thf(1558,plain,
( ( ! [G_1: labeled_graph_b_nat,G_2: labeled_graph_b_nat] :
( ( graph_529870330at_nat @ G_1 @ G_2 @ ( id_on_nat @ ( labele460410879_b_nat @ G_1 ) ) )
=> ( ord_le910748009at_nat @ ( labeled_edges_b_nat @ ( restrict_b_nat @ G_1 ) ) @ ( labeled_edges_b_nat @ G_2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[370]) ).
thf(1559,plain,
( ( ! [G_1: labeled_graph_b_nat,G_2: labeled_graph_b_nat] :
( ( G_1
= ( restrict_b_nat @ G_1 ) )
=> ( ( G_2
= ( restrict_b_nat @ G_2 ) )
=> ( ( graph_union_b_nat @ G_1 @ G_2 )
= ( restrict_b_nat @ ( graph_union_b_nat @ G_1 @ G_2 ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[369]) ).
thf(1560,plain,
( ( ! [G_1: labeled_graph_b_nat,G_2: labeled_graph_b_nat] :
( ( graph_529870330at_nat @ G_1 @ G_2 @ ( id_on_nat @ ( labele460410879_b_nat @ G_1 ) ) )
= ( ( G_1
= ( restrict_b_nat @ G_1 ) )
& ( G_2
= ( restrict_b_nat @ G_2 ) )
& ( ( graph_union_b_nat @ G_1 @ G_2 )
= G_2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[368]) ).
thf(1561,plain,
( ( ! [A: labeled_graph_b_nat,B: labeled_graph_b_nat,X3: set_Pr1986765409at_nat,C2: labeled_graph_b_nat,Y3: set_Pr1986765409at_nat] :
( ( graph_529870330at_nat @ A @ B @ X3 )
=> ( ( graph_529870330at_nat @ B @ C2 @ Y3 )
=> ( graph_529870330at_nat @ A @ C2 @ ( relcomp_nat_nat_nat @ X3 @ Y3 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[367]) ).
thf(1562,plain,
( ( finite_finite_nat @ bot_bot_set_nat )
= $true ),
inference(copy,[status(thm)],[366]) ).
thf(1563,plain,
( ( finite1987068434at_nat @ bot_bo1626616373at_nat )
= $true ),
inference(copy,[status(thm)],[365]) ).
thf(1564,plain,
( ( ! [S2: set_nat] :
( ~ ( finite_finite_nat @ S2 )
=> ( S2 != bot_bot_set_nat ) ) )
= $true ),
inference(copy,[status(thm)],[364]) ).
thf(1565,plain,
( ( ! [S2: set_Pr9961929at_nat] :
( ~ ( finite1987068434at_nat @ S2 )
=> ( S2 != bot_bo1626616373at_nat ) ) )
= $true ),
inference(copy,[status(thm)],[363]) ).
thf(1566,plain,
( ( ! [R4: labeled_graph_b_nat,S4: labeled_graph_b_nat,R: set_Pr551076371_b_nat,S5: labeled_graph_b_nat] :
( ( member963855452_b_nat @ ( produc951298923_b_nat @ R4 @ S4 ) @ R )
=> ( ( S5 = S4 )
=> ( member963855452_b_nat @ ( produc951298923_b_nat @ R4 @ S5 ) @ R ) ) ) )
= $true ),
inference(copy,[status(thm)],[362]) ).
thf(1567,plain,
( ( ! [R4: allegorical_term_b,S4: allegorical_term_b,R: set_Pr1163220871term_b,S5: allegorical_term_b] :
( ( member516522448term_b @ ( produc1990145943term_b @ R4 @ S4 ) @ R )
=> ( ( S5 = S4 )
=> ( member516522448term_b @ ( produc1990145943term_b @ R4 @ S5 ) @ R ) ) ) )
= $true ),
inference(copy,[status(thm)],[361]) ).
thf(1568,plain,
( ( ! [X3: set_nat] : ( univalent_nat_nat @ ( id_on_nat @ X3 ) ) )
= $true ),
inference(copy,[status(thm)],[360]) ).
thf(1569,plain,
( ( ! [A4: set_nat] :
( ( domain_nat_nat @ ( id_on_nat @ A4 ) )
= A4 ) )
= $true ),
inference(copy,[status(thm)],[359]) ).
thf(1570,plain,
( ( ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ ( produc854192515term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) @ ( translation_b @ ( produc1223098053term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) ) )
!= ( restrict_b_nat @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ ( produc854192515term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) @ ( translation_b @ ( produc1223098053term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[457]) ).
thf(1571,plain,
( ( ! [SX0: labeled_graph_b_nat,SX1: labeled_graph_b_nat,SX2: set_Pr551076371_b_nat,SX3: labeled_graph_b_nat] :
( ~ ( member963855452_b_nat @ ( produc951298923_b_nat @ SX0 @ SX1 ) @ SX2 )
| ( SX3 != SX1 )
| ( member963855452_b_nat @ ( produc951298923_b_nat @ SX0 @ SX3 ) @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1566]) ).
thf(1572,plain,
( ( ! [SX0: labeled_graph_b_nat,SX1: labeled_graph_b_nat,SX2: labeled_graph_b_nat,SX3: labeled_graph_b_nat] :
( ( ( produc951298923_b_nat @ SX0 @ SX1 )
= ( produc951298923_b_nat @ SX2 @ SX3 ) )
= ( ~ ( ( SX0 != SX2 )
| ( SX1 != SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1492]) ).
thf(1573,plain,
( ( ! [SX0: produc1478835367term_b] :
~ ! [SX1: allegorical_term_b,SX2: allegorical_term_b] :
( SX0
!= ( produc1990145943term_b @ SX1 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1498]) ).
thf(1574,plain,
( ( ! [SX0: allegorical_term_b > allegorical_term_b > $o,SX1: allegorical_term_b,SX2: allegorical_term_b] :
( ~ ( SX0 @ SX1 @ SX2 )
| ( SX0 @ ( produc1223098053term_b @ ( produc1990145943term_b @ SX2 @ SX1 ) ) @ ( produc854192515term_b @ ( produc1990145943term_b @ SX2 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1531]) ).
thf(1575,plain,
( ( ! [SX0: produc1478835367term_b,SX1: produc1478835367term_b] :
( ~ ~ ( ( ( produc854192515term_b @ SX0 )
!= ( produc854192515term_b @ SX1 ) )
| ( ( produc1223098053term_b @ SX0 )
!= ( produc1223098053term_b @ SX1 ) ) )
| ( SX0 = SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1515]) ).
thf(1576,plain,
( ( ! [SX0: labeled_graph_b_nat,SX1: labeled_graph_b_nat,SX2: labeled_graph_b_nat] :
( ( ( produc1542243159_b_nat @ ( produc951298923_b_nat @ SX0 @ SX1 ) )
!= SX2 )
| ( SX0 = SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1507]) ).
thf(1577,plain,
( ( ( ^ [SX0: produc1235635379_b_nat,SX1: produc1235635379_b_nat] : ( SX0 = SX1 ) )
= ( ^ [SX0: produc1235635379_b_nat,SX1: produc1235635379_b_nat] :
~ ( ( ( produc1542243159_b_nat @ SX0 )
!= ( produc1542243159_b_nat @ SX1 ) )
| ( ( produc194497945_b_nat @ SX0 )
!= ( produc194497945_b_nat @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1514]) ).
thf(1578,plain,
( ( ! [SX0: produc1235635379_b_nat,SX1: labeled_graph_b_nat,SX2: labeled_graph_b_nat] :
( ( SX0
!= ( produc951298923_b_nat @ SX1 @ SX2 ) )
| ( ( produc194497945_b_nat @ SX0 )
= SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1538]) ).
thf(1579,plain,
( ( ! [SX0: set_nat,SX1: set_nat] :
( ~ ( ord_less_eq_set_nat @ SX0 @ SX1 )
| ~ ~ ( finite_finite_nat @ SX0 )
| ~ ( finite_finite_nat @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1549]) ).
thf(1580,plain,
( ( ! [SX0: set_nat,SX1: set_nat] :
( ~ ( ord_less_eq_set_nat @ SX0 @ SX1 )
| ~ ( finite_finite_nat @ SX1 )
| ( finite_finite_nat @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1547]) ).
thf(1581,plain,
( ( ! [SX0: labeled_graph_b_nat,SX1: labeled_graph_b_nat,SX2: labeled_graph_b_nat,SX3: set_Pr1986765409at_nat] :
( ~ ( graph_529870330at_nat @ SX0 @ SX1 @ ( id_on_nat @ ( labele460410879_b_nat @ SX0 ) ) )
| ~ ( graph_529870330at_nat @ SX2 @ SX0 @ SX3 )
| ( graph_529870330at_nat @ SX2 @ SX1 @ SX3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1524]) ).
thf(1582,plain,
( ( ! [SX0: labeled_graph_b_nat,SX1: labeled_graph_b_nat] :
( ~ ~ ( ( ( labeled_edges_b_nat @ SX0 )
!= ( labeled_edges_b_nat @ SX1 ) )
| ( ( labele460410879_b_nat @ SX0 )
!= ( labele460410879_b_nat @ SX1 ) ) )
| ( SX0 = SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1519]) ).
thf(1583,plain,
( ( ! [SX0: labeled_graph_b_nat > labeled_graph_b_nat > $o,SX1: labeled_graph_b_nat,SX2: labeled_graph_b_nat] :
( ~ ( SX0 @ SX1 @ SX2 )
| ( SX0 @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ SX2 @ SX1 ) ) @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ SX2 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1532]) ).
thf(1584,plain,
( ( ! [SX0: produc1235635379_b_nat] :
~ ! [SX1: labeled_graph_b_nat] :
~ ~ ! [SX2: labeled_graph_b_nat] :
( SX0
!= ( produc951298923_b_nat @ SX1 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1503]) ).
thf(1585,plain,
( ( ! [SX0: set_nat] :
( ~ ~ ( finite_finite_nat @ SX0 )
| ( SX0 != bot_bot_set_nat ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1564]) ).
thf(1586,plain,
( ( ! [SX0: produc1235635379_b_nat,SX1: produc1235635379_b_nat] :
( ~ ~ ( ( ( produc1542243159_b_nat @ SX0 )
!= ( produc1542243159_b_nat @ SX1 ) )
| ( ( produc194497945_b_nat @ SX0 )
!= ( produc194497945_b_nat @ SX1 ) ) )
| ( SX0 = SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1516]) ).
thf(1587,plain,
( ( ! [SX0: produc1478835367term_b,SX1: produc1478835367term_b] :
( ( ( produc854192515term_b @ SX0 )
!= ( produc854192515term_b @ SX1 ) )
| ( ( produc1223098053term_b @ SX0 )
!= ( produc1223098053term_b @ SX1 ) )
| ( SX0 = SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1517]) ).
thf(1588,plain,
( ( ! [SX0: labeled_graph_b_nat,SX1: labeled_graph_b_nat,SX2: labeled_graph_b_nat,SX3: labeled_graph_b_nat] :
( ( ( produc951298923_b_nat @ SX0 @ SX1 )
!= ( produc951298923_b_nat @ SX2 @ SX3 ) )
| ~ ( ( SX0 != SX2 )
| ( SX1 != SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1499]) ).
thf(1589,plain,
( ( ! [SX0: allegorical_term_b > allegorical_term_b > $o,SX1: allegorical_term_b,SX2: allegorical_term_b,SX3: produc1478835367term_b] :
( ~ ( SX0 @ SX1 @ SX2 )
| ( SX3
!= ( produc1990145943term_b @ SX1 @ SX2 ) )
| ( SX0 @ ( produc854192515term_b @ SX3 ) @ ( produc1223098053term_b @ SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1527]) ).
thf(1590,plain,
( ( ! [SX0: labeled_graph_b_nat > labeled_graph_b_nat > $o,SX1: produc1235635379_b_nat] :
( ~ ( SX0 @ ( produc194497945_b_nat @ SX1 ) @ ( produc1542243159_b_nat @ SX1 ) )
| ~ ! [SX2: labeled_graph_b_nat,SX3: labeled_graph_b_nat] :
~ ( SX0 @ SX3 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1536]) ).
thf(1591,plain,
( ( ! [SX0: labeled_graph_b_nat,SX1: labeled_graph_b_nat] :
( ( graph_529870330at_nat @ SX0 @ SX1 @ ( id_on_nat @ ( labele460410879_b_nat @ SX0 ) ) )
= ( ~ ( ~ ~ ( ( SX0
!= ( restrict_b_nat @ SX0 ) )
| ( SX1
!= ( restrict_b_nat @ SX1 ) ) )
| ( ( graph_union_b_nat @ SX0 @ SX1 )
!= SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1560]) ).
thf(1592,plain,
( ( ! [SX0: produc1478835367term_b] :
~ ! [SX1: allegorical_term_b] :
~ ~ ! [SX2: allegorical_term_b] :
( SX0
!= ( produc1990145943term_b @ SX1 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1504]) ).
thf(1593,plain,
( ( ! [SX0: set_Pr9961929at_nat] :
( ~ ~ ( finite1987068434at_nat @ SX0 )
| ( SX0 != bot_bo1626616373at_nat ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1565]) ).
thf(1594,plain,
( ( ! [SX0: produc1478835367term_b > $o,SX1: produc1478835367term_b] :
( ~ ! [SX2: allegorical_term_b,SX3: allegorical_term_b] : ( SX0 @ ( produc1990145943term_b @ SX2 @ SX3 ) )
| ( SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1502]) ).
thf(1595,plain,
( ( ! [SX0: allegorical_term_b,SX1: produc1478835367term_b] :
( ( SX0
= ( produc854192515term_b @ SX1 ) )
= ( ~ ! [SX2: allegorical_term_b] :
( SX1
!= ( produc1990145943term_b @ SX0 @ SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1545]) ).
thf(1596,plain,
( ( ! [SX0: labeled_graph_b_nat,SX1: labeled_graph_b_nat,SX2: set_Pr1986765409at_nat,SX3: labeled_graph_b_nat,SX4: set_Pr1986765409at_nat] :
( ~ ( graph_529870330at_nat @ SX0 @ SX1 @ SX2 )
| ~ ( graph_529870330at_nat @ SX1 @ SX3 @ SX4 )
| ( graph_529870330at_nat @ SX0 @ SX3 @ ( relcomp_nat_nat_nat @ SX2 @ SX4 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1561]) ).
thf(1597,plain,
( ( ! [SX0: allegorical_term_b,SX1: produc1478835367term_b] :
( ( SX0
= ( produc1223098053term_b @ SX1 ) )
= ( ~ ! [SX2: allegorical_term_b] :
( SX1
!= ( produc1990145943term_b @ SX2 @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1542]) ).
thf(1598,plain,
( ( ! [SX0: labeled_graph_b_nat,SX1: labeled_graph_b_nat] :
( ( SX0
!= ( restrict_b_nat @ SX0 ) )
| ( SX1
!= ( restrict_b_nat @ SX1 ) )
| ( ( graph_union_b_nat @ SX0 @ SX1 )
= ( restrict_b_nat @ ( graph_union_b_nat @ SX0 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1559]) ).
thf(1599,plain,
( ( ! [SX0: labeled_graph_b_nat,SX1: labeled_graph_b_nat,SX2: set_Pr1986765409at_nat] :
( ~ ( graph_529870330at_nat @ SX0 @ SX1 @ SX2 )
| ( extensible_b_nat_nat @ ( produc951298923_b_nat @ SX0 @ SX0 ) @ SX1 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1534]) ).
thf(1600,plain,
( ( ( ^ [SX0: produc1478835367term_b,SX1: produc1478835367term_b] : ( SX0 = SX1 ) )
= ( ^ [SX0: produc1478835367term_b,SX1: produc1478835367term_b] :
~ ( ( ( produc854192515term_b @ SX0 )
!= ( produc854192515term_b @ SX1 ) )
| ( ( produc1223098053term_b @ SX0 )
!= ( produc1223098053term_b @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1513]) ).
thf(1601,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ( graph_529870330at_nat @ ( produc1542243159_b_nat @ standa879863266rule_b ) @ ( produc194497945_b_nat @ standa879863266rule_b ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ standa879863266rule_b ) ) ) )
| ( ( produc194497945_b_nat @ standa879863266rule_b )
!= ( restrict_b_nat @ ( produc194497945_b_nat @ standa879863266rule_b ) ) ) )
| ~ ( finite_finite_nat @ ( labele460410879_b_nat @ ( produc194497945_b_nat @ standa879863266rule_b ) ) ) )
| ~ ( finite1987068434at_nat @ ( labeled_edges_b_nat @ ( produc194497945_b_nat @ standa879863266rule_b ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1482]) ).
thf(1602,plain,
( ( ! [SX0: labeled_graph_b_nat,SX1: labeled_graph_b_nat,SX2: labeled_graph_b_nat] :
( ( ( produc194497945_b_nat @ ( produc951298923_b_nat @ SX0 @ SX1 ) )
!= SX2 )
| ( SX1 = SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1512]) ).
thf(1603,plain,
( ( ! [SX0: produc1235635379_b_nat,SX1: produc1235635379_b_nat] :
( ( ( produc1542243159_b_nat @ SX0 )
!= ( produc1542243159_b_nat @ SX1 ) )
| ( ( produc194497945_b_nat @ SX0 )
!= ( produc194497945_b_nat @ SX1 ) )
| ( SX0 = SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1518]) ).
thf(1604,plain,
( ( ! [SX0: produc1235635379_b_nat,SX1: labeled_graph_b_nat,SX2: labeled_graph_b_nat] :
( ( SX0
!= ( produc951298923_b_nat @ SX1 @ SX2 ) )
| ( ( produc1542243159_b_nat @ SX0 )
= SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1539]) ).
thf(1605,plain,
( ( ! [SX0: nat > labeled_graph_b_nat,SX1: nat] :
( ~ ( chain_b_nat @ SX0 )
| ( ( SX0 @ SX1 )
= ( restrict_b_nat @ ( SX0 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1541]) ).
thf(1606,plain,
( ( ! [SX0: set_Pr9961929at_nat,SX1: set_Pr9961929at_nat] :
( ~ ( ord_le910748009at_nat @ SX0 @ SX1 )
| ~ ~ ( finite1987068434at_nat @ SX0 )
| ~ ( finite1987068434at_nat @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1550]) ).
thf(1607,plain,
( ( ! [SX0: allegorical_term_b,SX1: allegorical_term_b,SX2: allegorical_term_b] :
( ( ( produc1223098053term_b @ ( produc1990145943term_b @ SX0 @ SX1 ) )
!= SX2 )
| ( SX1 = SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1511]) ).
thf(1608,plain,
( ( ! [SX0: allegorical_term_b > $o,SX1: allegorical_term_b,SX2: allegorical_term_b > $o,SX3: allegorical_term_b] :
( ~ ( SX0 @ SX1 )
| ~ ( SX2 @ SX3 )
| ~ ( ~ ( SX0 @ ( produc854192515term_b @ ( produc1990145943term_b @ SX1 @ SX3 ) ) )
| ~ ( SX2 @ ( produc1223098053term_b @ ( produc1990145943term_b @ SX1 @ SX3 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1529]) ).
thf(1609,plain,
( ( ! [SX0: produc1478835367term_b,SX1: allegorical_term_b,SX2: allegorical_term_b] :
( ( SX0
!= ( produc1990145943term_b @ SX1 @ SX2 ) )
| ( ( produc854192515term_b @ SX0 )
= SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1540]) ).
thf(1610,plain,
( ( ! [SX0: produc1478835367term_b,SX1: allegorical_term_b,SX2: allegorical_term_b] :
( ( SX0
!= ( produc1990145943term_b @ SX1 @ SX2 ) )
| ( ( produc1223098053term_b @ SX0 )
= SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1537]) ).
thf(1611,plain,
( ( ! [SX0: labeled_graph_b_nat,SX1: labeled_graph_b_nat,SX2: labeled_graph_b_nat] :
( ~ ( graph_529870330at_nat @ SX0 @ SX1 @ ( id_on_nat @ ( labele460410879_b_nat @ SX0 ) ) )
| ~ ( graph_529870330at_nat @ SX1 @ SX2 @ ( id_on_nat @ ( labele460410879_b_nat @ SX1 ) ) )
| ( graph_529870330at_nat @ SX0 @ SX2 @ ( id_on_nat @ ( labele460410879_b_nat @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1525]) ).
thf(1612,plain,
( ( ! [SX0: produc1235635379_b_nat > $o,SX1: produc1235635379_b_nat] :
( ~ ! [SX2: labeled_graph_b_nat,SX3: labeled_graph_b_nat] : ( SX0 @ ( produc951298923_b_nat @ SX2 @ SX3 ) )
| ( SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1495]) ).
thf(1613,plain,
( ( ! [SX0: labeled_graph_b_nat > $o,SX1: labeled_graph_b_nat,SX2: labeled_graph_b_nat > $o,SX3: labeled_graph_b_nat] :
( ~ ( SX0 @ SX1 )
| ~ ( SX2 @ SX3 )
| ~ ( ~ ( SX0 @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ SX1 @ SX3 ) ) )
| ~ ( SX2 @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ SX1 @ SX3 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1530]) ).
thf(1614,plain,
( ( ! [SX0: allegorical_term_b,SX1: allegorical_term_b,SX2: allegorical_term_b,SX3: allegorical_term_b] :
( ( ( produc1990145943term_b @ SX0 @ SX1 )
= ( produc1990145943term_b @ SX2 @ SX3 ) )
= ( ~ ( ( SX0 != SX2 )
| ( SX1 != SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1493]) ).
thf(1615,plain,
( ( ! [SX0: labeled_graph_b_nat,SX1: labeled_graph_b_nat] :
( ~ ( graph_529870330at_nat @ SX0 @ SX1 @ ( id_on_nat @ ( labele460410879_b_nat @ SX0 ) ) )
| ( ord_le910748009at_nat @ ( labeled_edges_b_nat @ ( restrict_b_nat @ SX0 ) ) @ ( labeled_edges_b_nat @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1558]) ).
thf(1616,plain,
( ( ! [SX0: produc1235635379_b_nat > $o,SX1: produc1235635379_b_nat] :
( ~ ! [SX2: labeled_graph_b_nat,SX3: labeled_graph_b_nat] : ( SX0 @ ( produc951298923_b_nat @ SX2 @ SX3 ) )
| ( SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1501]) ).
thf(1617,plain,
( ( ! [SX0: allegorical_term_b,SX1: allegorical_term_b,SX2: allegorical_term_b,SX3: allegorical_term_b] :
( ( ( produc1990145943term_b @ SX0 @ SX1 )
!= ( produc1990145943term_b @ SX2 @ SX3 ) )
| ~ ( ( SX0 != SX2 )
| ( SX1 != SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1500]) ).
thf(1618,plain,
( ( ! [SX0: set_Pr9961929at_nat,SX1: set_Pr9961929at_nat] :
( ~ ( ord_le910748009at_nat @ SX0 @ SX1 )
| ~ ( finite1987068434at_nat @ SX1 )
| ( finite1987068434at_nat @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1548]) ).
thf(1619,plain,
( ( ! [SX0: labeled_graph_b_nat,SX1: produc1235635379_b_nat] :
( ( SX0
= ( produc194497945_b_nat @ SX1 ) )
= ( ~ ! [SX2: labeled_graph_b_nat] :
( SX1
!= ( produc951298923_b_nat @ SX2 @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1543]) ).
thf(1620,plain,
( ( ! [SX0: labeled_graph_b_nat > labeled_graph_b_nat > $o,SX1: labeled_graph_b_nat,SX2: labeled_graph_b_nat,SX3: produc1235635379_b_nat] :
( ~ ( SX0 @ SX1 @ SX2 )
| ( SX3
!= ( produc951298923_b_nat @ SX1 @ SX2 ) )
| ( SX0 @ ( produc1542243159_b_nat @ SX3 ) @ ( produc194497945_b_nat @ SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1528]) ).
thf(1621,plain,
( ( ! [SX0: labeled_graph_b_nat] :
( ~ ( ord_le910748009at_nat @ ( labeled_edges_b_nat @ SX0 ) @ ( labeled_edges_b_nat @ ( restrict_b_nat @ SX0 ) ) )
| ( SX0
= ( restrict_b_nat @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1555]) ).
thf(1622,plain,
( ( ! [SX0: allegorical_term_b > allegorical_term_b > $o,SX1: produc1478835367term_b] :
( ~ ( SX0 @ ( produc1223098053term_b @ SX1 ) @ ( produc854192515term_b @ SX1 ) )
| ~ ! [SX2: allegorical_term_b,SX3: allegorical_term_b] :
~ ( SX0 @ SX3 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1535]) ).
thf(1623,plain,
( ( ! [SX0: allegorical_term_b,SX1: allegorical_term_b,SX2: allegorical_term_b,SX3: allegorical_term_b] :
( ( ( produc1990145943term_b @ SX0 @ SX1 )
= ( produc1990145943term_b @ SX2 @ SX3 ) )
= ( ~ ( ( SX0 != SX2 )
| ( SX1 != SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1491]) ).
thf(1624,plain,
( ( ! [SX0: allegorical_term_b,SX1: allegorical_term_b,SX2: allegorical_term_b] :
( ( ( produc854192515term_b @ ( produc1990145943term_b @ SX0 @ SX1 ) )
!= SX2 )
| ( SX0 = SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1508]) ).
thf(1625,plain,
( ( ! [SX0: allegorical_term_b,SX1: allegorical_term_b,SX2: set_Pr1163220871term_b,SX3: allegorical_term_b] :
( ~ ( member516522448term_b @ ( produc1990145943term_b @ SX0 @ SX1 ) @ SX2 )
| ( SX3 != SX1 )
| ( member516522448term_b @ ( produc1990145943term_b @ SX0 @ SX3 ) @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1567]) ).
thf(1626,plain,
( ( ! [SX0: labeled_graph_b_nat,SX1: labeled_graph_b_nat] :
( ~ ( graph_529870330at_nat @ SX0 @ SX1 @ ( id_on_nat @ ( labele460410879_b_nat @ SX0 ) ) )
| ( ord_less_eq_set_nat @ ( labele460410879_b_nat @ SX0 ) @ ( labele460410879_b_nat @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1557]) ).
thf(1627,plain,
( ( ! [SX0: set_Pr9961929at_nat,SX1: set_Pr9961929at_nat] :
( ~ ( finite1987068434at_nat @ SX0 )
| ~ ( ord_le910748009at_nat @ SX1 @ SX0 )
| ( finite1987068434at_nat @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1552]) ).
thf(1628,plain,
( ( ! [SX0: allegorical_term_b,SX1: allegorical_term_b] :
~ ( ~ ~ ( ~ ~ ( ~ ( graph_529870330at_nat @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SX0 ) @ ( translation_b @ ( allegorical_A_Int_b @ SX0 @ SX1 ) ) ) ) @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SX0 ) @ ( translation_b @ ( allegorical_A_Int_b @ SX0 @ SX1 ) ) ) ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SX0 ) @ ( translation_b @ ( allegorical_A_Int_b @ SX0 @ SX1 ) ) ) ) ) ) )
| ( ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SX0 ) @ ( translation_b @ ( allegorical_A_Int_b @ SX0 @ SX1 ) ) ) )
!= ( restrict_b_nat @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SX0 ) @ ( translation_b @ ( allegorical_A_Int_b @ SX0 @ SX1 ) ) ) ) ) ) )
| ~ ( finite_finite_nat @ ( labele460410879_b_nat @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SX0 ) @ ( translation_b @ ( allegorical_A_Int_b @ SX0 @ SX1 ) ) ) ) ) ) )
| ~ ( finite1987068434at_nat @ ( labeled_edges_b_nat @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SX0 ) @ ( translation_b @ ( allegorical_A_Int_b @ SX0 @ SX1 ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1477]) ).
thf(1629,plain,
( ( ! [SX0: b] :
~ ( ~ ~ ( ~ ~ ( ~ ( graph_529870330at_nat @ ( produc1542243159_b_nat @ ( standa1329480013rule_b @ SX0 ) ) @ ( produc194497945_b_nat @ ( standa1329480013rule_b @ SX0 ) ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ ( standa1329480013rule_b @ SX0 ) ) ) ) )
| ( ( produc194497945_b_nat @ ( standa1329480013rule_b @ SX0 ) )
!= ( restrict_b_nat @ ( produc194497945_b_nat @ ( standa1329480013rule_b @ SX0 ) ) ) ) )
| ~ ( finite_finite_nat @ ( labele460410879_b_nat @ ( produc194497945_b_nat @ ( standa1329480013rule_b @ SX0 ) ) ) ) )
| ~ ( finite1987068434at_nat @ ( labeled_edges_b_nat @ ( produc194497945_b_nat @ ( standa1329480013rule_b @ SX0 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1485]) ).
thf(1630,plain,
( ( ! [SX0: labeled_graph_b_nat,SX1: labeled_graph_b_nat,SX2: labeled_graph_b_nat,SX3: labeled_graph_b_nat] :
( ( ( produc951298923_b_nat @ SX0 @ SX1 )
= ( produc951298923_b_nat @ SX2 @ SX3 ) )
= ( ~ ( ( SX0 != SX2 )
| ( SX1 != SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1490]) ).
thf(1631,plain,
( ( ! [SX0: produc1478835367term_b > $o,SX1: produc1478835367term_b] :
( ~ ! [SX2: allegorical_term_b,SX3: allegorical_term_b] : ( SX0 @ ( produc1990145943term_b @ SX2 @ SX3 ) )
| ( SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1496]) ).
thf(1632,plain,
( ( ! [SX0: labeled_graph_b_nat,SX1: produc1235635379_b_nat] :
( ( SX0
= ( produc1542243159_b_nat @ SX1 ) )
= ( ~ ! [SX2: labeled_graph_b_nat] :
( SX1
!= ( produc951298923_b_nat @ SX0 @ SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1544]) ).
thf(1633,plain,
( ( ! [SX0: b] :
~ ( ~ ~ ( ~ ~ ( ~ ( graph_529870330at_nat @ ( produc1542243159_b_nat @ ( standa1360217389rule_b @ SX0 ) ) @ ( produc194497945_b_nat @ ( standa1360217389rule_b @ SX0 ) ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ ( standa1360217389rule_b @ SX0 ) ) ) ) )
| ( ( produc194497945_b_nat @ ( standa1360217389rule_b @ SX0 ) )
!= ( restrict_b_nat @ ( produc194497945_b_nat @ ( standa1360217389rule_b @ SX0 ) ) ) ) )
| ~ ( finite_finite_nat @ ( labele460410879_b_nat @ ( produc194497945_b_nat @ ( standa1360217389rule_b @ SX0 ) ) ) ) )
| ~ ( finite1987068434at_nat @ ( labeled_edges_b_nat @ ( produc194497945_b_nat @ ( standa1360217389rule_b @ SX0 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1483]) ).
thf(1634,plain,
( ( ! [SX0: set_nat,SX1: set_nat] :
( ~ ( finite_finite_nat @ SX0 )
| ~ ( ord_less_eq_set_nat @ SX1 @ SX0 )
| ( finite_finite_nat @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1551]) ).
thf(1635,plain,
( ( ! [SX0: allegorical_term_b,SX1: allegorical_term_b,SX2: allegorical_term_b,SX3: allegorical_term_b] :
( ( ( allegorical_A_Int_b @ SX0 @ SX1 )
= ( allegorical_A_Int_b @ SX2 @ SX3 ) )
= ( ~ ( ( SX0 != SX2 )
| ( SX1 != SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1533]) ).
thf(1636,plain,
( ( ! [SX0: produc1235635379_b_nat] :
~ ! [SX1: labeled_graph_b_nat,SX2: labeled_graph_b_nat] :
( SX0
!= ( produc951298923_b_nat @ SX1 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1497]) ).
thf(1637,plain,
! [SV205: labeled_graph_b_nat] :
( ( ( graph_529870330at_nat @ SV205 @ SV205 @ ( id_on_nat @ ( labele460410879_b_nat @ SV205 ) ) )
= ( SV205
= ( restrict_b_nat @ SV205 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1478]) ).
thf(1638,plain,
! [SV206: labeled_graph_b_nat] :
( ( ( graph_529870330at_nat @ SV206 @ ( restrict_b_nat @ SV206 ) @ ( id_on_nat @ ( labele460410879_b_nat @ SV206 ) ) )
= ( SV206
= ( restrict_b_nat @ SV206 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1479]) ).
thf(1639,plain,
! [SV207: labeled_graph_b_nat] :
( ( graph_529870330at_nat @ ( restrict_b_nat @ SV207 ) @ ( restrict_b_nat @ SV207 ) @ ( id_on_nat @ ( labele460410879_b_nat @ SV207 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1480]) ).
thf(1640,plain,
! [SV208: allegorical_term_b] :
( ( finite1987068434at_nat @ ( labeled_edges_b_nat @ ( translation_b @ SV208 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1481]) ).
thf(1641,plain,
! [SV209: allegorical_term_b] :
( ( finite_finite_nat @ ( labele460410879_b_nat @ ( translation_b @ SV209 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1484]) ).
thf(1642,plain,
! [SV210: produc1478835367term_b] :
( ( ( produc1990145943term_b @ ( produc854192515term_b @ SV210 ) @ ( produc1223098053term_b @ SV210 ) )
= SV210 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1486]) ).
thf(1643,plain,
! [SV211: produc1235635379_b_nat] :
( ( ( produc951298923_b_nat @ ( produc1542243159_b_nat @ SV211 ) @ ( produc194497945_b_nat @ SV211 ) )
= SV211 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1487]) ).
thf(1644,plain,
( ( ! [SV212: allegorical_term_b] :
( ( translation_b @ SV212 )
= ( restrict_b_nat @ ( translation_b @ SV212 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1488]) ).
thf(1645,plain,
( ( translation_b
= ( ^ [X2: allegorical_term_b] : ( restrict_b_nat @ ( translation_b @ X2 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1488]) ).
thf(1646,plain,
! [SV213: labeled_graph_b_nat] :
( ( ( labele460410879_b_nat @ ( restrict_b_nat @ SV213 ) )
= ( labele460410879_b_nat @ SV213 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1489]) ).
thf(1647,plain,
! [SV214: labeled_graph_b_nat] :
( ( ( restrict_b_nat @ ( restrict_b_nat @ SV214 ) )
= ( restrict_b_nat @ SV214 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1494]) ).
thf(1648,plain,
! [SV215: labeled_graph_b_nat] :
( ( ! [SY444: labeled_graph_b_nat] :
( ( produc1542243159_b_nat @ ( produc951298923_b_nat @ SV215 @ SY444 ) )
= SV215 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1505]) ).
thf(1649,plain,
! [SV216: allegorical_term_b] :
( ( ! [SY445: allegorical_term_b] :
( ( produc854192515term_b @ ( produc1990145943term_b @ SV216 @ SY445 ) )
= SV216 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1506]) ).
thf(1650,plain,
! [SV217: allegorical_term_b] :
( ( ! [SY446: allegorical_term_b] :
( ( produc1223098053term_b @ ( produc1990145943term_b @ SV217 @ SY446 ) )
= SY446 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1509]) ).
thf(1651,plain,
! [SV218: labeled_graph_b_nat] :
( ( ! [SY447: labeled_graph_b_nat] :
( ( produc194497945_b_nat @ ( produc951298923_b_nat @ SV218 @ SY447 ) )
= SY447 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1510]) ).
thf(1652,plain,
! [SV219: produc1478835367term_b] :
( ( SV219
= ( produc1990145943term_b @ ( produc854192515term_b @ SV219 ) @ ( produc1223098053term_b @ SV219 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1520]) ).
thf(1653,plain,
! [SV220: produc1235635379_b_nat] :
( ( SV220
= ( produc951298923_b_nat @ ( produc1542243159_b_nat @ SV220 ) @ ( produc194497945_b_nat @ SV220 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1521]) ).
thf(1654,plain,
! [SV221: produc1478835367term_b] :
( ( SV221
= ( produc1990145943term_b @ ( produc854192515term_b @ SV221 ) @ ( produc1223098053term_b @ SV221 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1522]) ).
thf(1655,plain,
! [SV222: produc1235635379_b_nat] :
( ( SV222
= ( produc951298923_b_nat @ ( produc1542243159_b_nat @ SV222 ) @ ( produc194497945_b_nat @ SV222 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1523]) ).
thf(1656,plain,
! [SV223: allegorical_term_b] :
( ( inv_translation @ ( labele460410879_b_nat @ ( translation_b @ SV223 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1526]) ).
thf(1657,plain,
! [SV224: labeled_graph_b_nat] :
( ( ( labeled_LG_b_nat @ ( labeled_edges_b_nat @ SV224 ) @ ( labele460410879_b_nat @ SV224 ) )
= SV224 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1546]) ).
thf(1658,plain,
! [SV225: set_Pr9961929at_nat] :
( ( ! [SY448: set_nat] :
( ( labele460410879_b_nat @ ( labeled_LG_b_nat @ SV225 @ SY448 ) )
= SY448 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1553]) ).
thf(1659,plain,
! [SV226: set_Pr9961929at_nat] :
( ( ! [SY449: set_nat] :
( ( labeled_edges_b_nat @ ( labeled_LG_b_nat @ SV226 @ SY449 ) )
= SV226 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1554]) ).
thf(1660,plain,
! [SV227: labeled_graph_b_nat] :
( ( SV227
= ( labeled_LG_b_nat @ ( labeled_edges_b_nat @ SV227 ) @ ( labele460410879_b_nat @ SV227 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1556]) ).
thf(1661,plain,
! [SV228: set_nat] :
( ( univalent_nat_nat @ ( id_on_nat @ SV228 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1568]) ).
thf(1662,plain,
! [SV229: set_nat] :
( ( ( domain_nat_nat @ ( id_on_nat @ SV229 ) )
= SV229 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1569]) ).
thf(1663,plain,
( ( ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ ( produc854192515term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) @ ( translation_b @ ( produc1223098053term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) ) )
= ( restrict_b_nat @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ ( produc854192515term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) @ ( translation_b @ ( produc1223098053term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1570]) ).
thf(1664,plain,
! [SV230: labeled_graph_b_nat] :
( ( ! [SY450: labeled_graph_b_nat,SY451: set_Pr551076371_b_nat,SY452: labeled_graph_b_nat] :
( ~ ( member963855452_b_nat @ ( produc951298923_b_nat @ SV230 @ SY450 ) @ SY451 )
| ( SY452 != SY450 )
| ( member963855452_b_nat @ ( produc951298923_b_nat @ SV230 @ SY452 ) @ SY451 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1571]) ).
thf(1665,plain,
! [SV231: labeled_graph_b_nat] :
( ( ! [SY453: labeled_graph_b_nat,SY454: labeled_graph_b_nat,SY455: labeled_graph_b_nat] :
( ( ( produc951298923_b_nat @ SV231 @ SY453 )
= ( produc951298923_b_nat @ SY454 @ SY455 ) )
= ( ~ ( ( SV231 != SY454 )
| ( SY453 != SY455 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1572]) ).
thf(1666,plain,
! [SV232: produc1478835367term_b] :
( ( ~ ! [SY456: allegorical_term_b,SY457: allegorical_term_b] :
( SV232
!= ( produc1990145943term_b @ SY456 @ SY457 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1573]) ).
thf(1667,plain,
! [SV233: allegorical_term_b > allegorical_term_b > $o] :
( ( ! [SY458: allegorical_term_b,SY459: allegorical_term_b] :
( ~ ( SV233 @ SY458 @ SY459 )
| ( SV233 @ ( produc1223098053term_b @ ( produc1990145943term_b @ SY459 @ SY458 ) ) @ ( produc854192515term_b @ ( produc1990145943term_b @ SY459 @ SY458 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1574]) ).
thf(1668,plain,
! [SV234: produc1478835367term_b] :
( ( ! [SY460: produc1478835367term_b] :
( ~ ~ ( ( ( produc854192515term_b @ SV234 )
!= ( produc854192515term_b @ SY460 ) )
| ( ( produc1223098053term_b @ SV234 )
!= ( produc1223098053term_b @ SY460 ) ) )
| ( SV234 = SY460 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1575]) ).
thf(1669,plain,
! [SV235: labeled_graph_b_nat] :
( ( ! [SY461: labeled_graph_b_nat,SY462: labeled_graph_b_nat] :
( ( ( produc1542243159_b_nat @ ( produc951298923_b_nat @ SV235 @ SY461 ) )
!= SY462 )
| ( SV235 = SY462 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1576]) ).
thf(1670,plain,
( ( ! [SV236: produc1235635379_b_nat] :
( ( ^ [SY463: produc1235635379_b_nat] : ( SV236 = SY463 ) )
= ( ^ [SY464: produc1235635379_b_nat] :
~ ( ( ( produc1542243159_b_nat @ SV236 )
!= ( produc1542243159_b_nat @ SY464 ) )
| ( ( produc194497945_b_nat @ SV236 )
!= ( produc194497945_b_nat @ SY464 ) ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1577]) ).
thf(1671,plain,
( ( ( ^ [SX0: produc1235635379_b_nat,SX1: produc1235635379_b_nat] : ( SX0 = SX1 ) )
= ( ^ [SX0: produc1235635379_b_nat,SX1: produc1235635379_b_nat] :
~ ( ( ( produc1542243159_b_nat @ SX0 )
!= ( produc1542243159_b_nat @ SX1 ) )
| ( ( produc194497945_b_nat @ SX0 )
!= ( produc194497945_b_nat @ SX1 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1577]) ).
thf(1672,plain,
! [SV237: produc1235635379_b_nat] :
( ( ! [SY465: labeled_graph_b_nat,SY466: labeled_graph_b_nat] :
( ( SV237
!= ( produc951298923_b_nat @ SY465 @ SY466 ) )
| ( ( produc194497945_b_nat @ SV237 )
= SY466 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1578]) ).
thf(1673,plain,
! [SV238: set_nat] :
( ( ! [SY467: set_nat] :
( ~ ( ord_less_eq_set_nat @ SV238 @ SY467 )
| ~ ~ ( finite_finite_nat @ SV238 )
| ~ ( finite_finite_nat @ SY467 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1579]) ).
thf(1674,plain,
! [SV239: set_nat] :
( ( ! [SY468: set_nat] :
( ~ ( ord_less_eq_set_nat @ SV239 @ SY468 )
| ~ ( finite_finite_nat @ SY468 )
| ( finite_finite_nat @ SV239 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1580]) ).
thf(1675,plain,
! [SV240: labeled_graph_b_nat] :
( ( ! [SY469: labeled_graph_b_nat,SY470: labeled_graph_b_nat,SY471: set_Pr1986765409at_nat] :
( ~ ( graph_529870330at_nat @ SV240 @ SY469 @ ( id_on_nat @ ( labele460410879_b_nat @ SV240 ) ) )
| ~ ( graph_529870330at_nat @ SY470 @ SV240 @ SY471 )
| ( graph_529870330at_nat @ SY470 @ SY469 @ SY471 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1581]) ).
thf(1676,plain,
! [SV241: labeled_graph_b_nat] :
( ( ! [SY472: labeled_graph_b_nat] :
( ~ ~ ( ( ( labeled_edges_b_nat @ SV241 )
!= ( labeled_edges_b_nat @ SY472 ) )
| ( ( labele460410879_b_nat @ SV241 )
!= ( labele460410879_b_nat @ SY472 ) ) )
| ( SV241 = SY472 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1582]) ).
thf(1677,plain,
! [SV242: labeled_graph_b_nat > labeled_graph_b_nat > $o] :
( ( ! [SY473: labeled_graph_b_nat,SY474: labeled_graph_b_nat] :
( ~ ( SV242 @ SY473 @ SY474 )
| ( SV242 @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ SY474 @ SY473 ) ) @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ SY474 @ SY473 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1583]) ).
thf(1678,plain,
! [SV243: produc1235635379_b_nat] :
( ( ~ ! [SY475: labeled_graph_b_nat] :
~ ~ ! [SY476: labeled_graph_b_nat] :
( SV243
!= ( produc951298923_b_nat @ SY475 @ SY476 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1584]) ).
thf(1679,plain,
! [SV244: set_nat] :
( ( ~ ~ ( finite_finite_nat @ SV244 )
| ( SV244 != bot_bot_set_nat ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1585]) ).
thf(1680,plain,
! [SV245: produc1235635379_b_nat] :
( ( ! [SY477: produc1235635379_b_nat] :
( ~ ~ ( ( ( produc1542243159_b_nat @ SV245 )
!= ( produc1542243159_b_nat @ SY477 ) )
| ( ( produc194497945_b_nat @ SV245 )
!= ( produc194497945_b_nat @ SY477 ) ) )
| ( SV245 = SY477 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1586]) ).
thf(1681,plain,
! [SV246: produc1478835367term_b] :
( ( ! [SY478: produc1478835367term_b] :
( ( ( produc854192515term_b @ SV246 )
!= ( produc854192515term_b @ SY478 ) )
| ( ( produc1223098053term_b @ SV246 )
!= ( produc1223098053term_b @ SY478 ) )
| ( SV246 = SY478 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1587]) ).
thf(1682,plain,
! [SV247: labeled_graph_b_nat] :
( ( ! [SY479: labeled_graph_b_nat,SY480: labeled_graph_b_nat,SY481: labeled_graph_b_nat] :
( ( ( produc951298923_b_nat @ SV247 @ SY479 )
!= ( produc951298923_b_nat @ SY480 @ SY481 ) )
| ~ ( ( SV247 != SY480 )
| ( SY479 != SY481 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1588]) ).
thf(1683,plain,
! [SV248: allegorical_term_b > allegorical_term_b > $o] :
( ( ! [SY482: allegorical_term_b,SY483: allegorical_term_b,SY484: produc1478835367term_b] :
( ~ ( SV248 @ SY482 @ SY483 )
| ( SY484
!= ( produc1990145943term_b @ SY482 @ SY483 ) )
| ( SV248 @ ( produc854192515term_b @ SY484 ) @ ( produc1223098053term_b @ SY484 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1589]) ).
thf(1684,plain,
! [SV249: labeled_graph_b_nat > labeled_graph_b_nat > $o] :
( ( ! [SY485: produc1235635379_b_nat] :
( ~ ( SV249 @ ( produc194497945_b_nat @ SY485 ) @ ( produc1542243159_b_nat @ SY485 ) )
| ~ ! [SY486: labeled_graph_b_nat,SY487: labeled_graph_b_nat] :
~ ( SV249 @ SY487 @ SY486 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1590]) ).
thf(1685,plain,
! [SV250: labeled_graph_b_nat] :
( ( ! [SY488: labeled_graph_b_nat] :
( ( graph_529870330at_nat @ SV250 @ SY488 @ ( id_on_nat @ ( labele460410879_b_nat @ SV250 ) ) )
= ( ~ ( ~ ~ ( ( SV250
!= ( restrict_b_nat @ SV250 ) )
| ( SY488
!= ( restrict_b_nat @ SY488 ) ) )
| ( ( graph_union_b_nat @ SV250 @ SY488 )
!= SY488 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1591]) ).
thf(1686,plain,
! [SV251: produc1478835367term_b] :
( ( ~ ! [SY489: allegorical_term_b] :
~ ~ ! [SY490: allegorical_term_b] :
( SV251
!= ( produc1990145943term_b @ SY489 @ SY490 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1592]) ).
thf(1687,plain,
! [SV252: set_Pr9961929at_nat] :
( ( ~ ~ ( finite1987068434at_nat @ SV252 )
| ( SV252 != bot_bo1626616373at_nat ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1593]) ).
thf(1688,plain,
! [SV253: produc1478835367term_b > $o] :
( ( ! [SY491: produc1478835367term_b] :
( ~ ! [SY492: allegorical_term_b,SY493: allegorical_term_b] : ( SV253 @ ( produc1990145943term_b @ SY492 @ SY493 ) )
| ( SV253 @ SY491 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1594]) ).
thf(1689,plain,
! [SV254: allegorical_term_b] :
( ( ! [SY494: produc1478835367term_b] :
( ( SV254
= ( produc854192515term_b @ SY494 ) )
= ( ~ ! [SY495: allegorical_term_b] :
( SY494
!= ( produc1990145943term_b @ SV254 @ SY495 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1595]) ).
thf(1690,plain,
! [SV255: labeled_graph_b_nat] :
( ( ! [SY496: labeled_graph_b_nat,SY497: set_Pr1986765409at_nat,SY498: labeled_graph_b_nat,SY499: set_Pr1986765409at_nat] :
( ~ ( graph_529870330at_nat @ SV255 @ SY496 @ SY497 )
| ~ ( graph_529870330at_nat @ SY496 @ SY498 @ SY499 )
| ( graph_529870330at_nat @ SV255 @ SY498 @ ( relcomp_nat_nat_nat @ SY497 @ SY499 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1596]) ).
thf(1691,plain,
! [SV256: allegorical_term_b] :
( ( ! [SY500: produc1478835367term_b] :
( ( SV256
= ( produc1223098053term_b @ SY500 ) )
= ( ~ ! [SY501: allegorical_term_b] :
( SY500
!= ( produc1990145943term_b @ SY501 @ SV256 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1597]) ).
thf(1692,plain,
! [SV257: labeled_graph_b_nat] :
( ( ! [SY502: labeled_graph_b_nat] :
( ( SV257
!= ( restrict_b_nat @ SV257 ) )
| ( SY502
!= ( restrict_b_nat @ SY502 ) )
| ( ( graph_union_b_nat @ SV257 @ SY502 )
= ( restrict_b_nat @ ( graph_union_b_nat @ SV257 @ SY502 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1598]) ).
thf(1693,plain,
! [SV258: labeled_graph_b_nat] :
( ( ! [SY503: labeled_graph_b_nat,SY504: set_Pr1986765409at_nat] :
( ~ ( graph_529870330at_nat @ SV258 @ SY503 @ SY504 )
| ( extensible_b_nat_nat @ ( produc951298923_b_nat @ SV258 @ SV258 ) @ SY503 @ SY504 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1599]) ).
thf(1694,plain,
( ( ! [SV259: produc1478835367term_b] :
( ( ^ [SY505: produc1478835367term_b] : ( SV259 = SY505 ) )
= ( ^ [SY506: produc1478835367term_b] :
~ ( ( ( produc854192515term_b @ SV259 )
!= ( produc854192515term_b @ SY506 ) )
| ( ( produc1223098053term_b @ SV259 )
!= ( produc1223098053term_b @ SY506 ) ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1600]) ).
thf(1695,plain,
( ( ( ^ [SX0: produc1478835367term_b,SX1: produc1478835367term_b] : ( SX0 = SX1 ) )
= ( ^ [SX0: produc1478835367term_b,SX1: produc1478835367term_b] :
~ ( ( ( produc854192515term_b @ SX0 )
!= ( produc854192515term_b @ SX1 ) )
| ( ( produc1223098053term_b @ SX0 )
!= ( produc1223098053term_b @ SX1 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1600]) ).
thf(1696,plain,
( ( ~ ~ ( ~ ~ ( ~ ( graph_529870330at_nat @ ( produc1542243159_b_nat @ standa879863266rule_b ) @ ( produc194497945_b_nat @ standa879863266rule_b ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ standa879863266rule_b ) ) ) )
| ( ( produc194497945_b_nat @ standa879863266rule_b )
!= ( restrict_b_nat @ ( produc194497945_b_nat @ standa879863266rule_b ) ) ) )
| ~ ( finite_finite_nat @ ( labele460410879_b_nat @ ( produc194497945_b_nat @ standa879863266rule_b ) ) ) )
| ~ ( finite1987068434at_nat @ ( labeled_edges_b_nat @ ( produc194497945_b_nat @ standa879863266rule_b ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1601]) ).
thf(1697,plain,
! [SV260: labeled_graph_b_nat] :
( ( ! [SY507: labeled_graph_b_nat,SY508: labeled_graph_b_nat] :
( ( ( produc194497945_b_nat @ ( produc951298923_b_nat @ SV260 @ SY507 ) )
!= SY508 )
| ( SY507 = SY508 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1602]) ).
thf(1698,plain,
! [SV261: produc1235635379_b_nat] :
( ( ! [SY509: produc1235635379_b_nat] :
( ( ( produc1542243159_b_nat @ SV261 )
!= ( produc1542243159_b_nat @ SY509 ) )
| ( ( produc194497945_b_nat @ SV261 )
!= ( produc194497945_b_nat @ SY509 ) )
| ( SV261 = SY509 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1603]) ).
thf(1699,plain,
! [SV262: produc1235635379_b_nat] :
( ( ! [SY510: labeled_graph_b_nat,SY511: labeled_graph_b_nat] :
( ( SV262
!= ( produc951298923_b_nat @ SY510 @ SY511 ) )
| ( ( produc1542243159_b_nat @ SV262 )
= SY510 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1604]) ).
thf(1700,plain,
! [SV263: nat > labeled_graph_b_nat] :
( ( ! [SY512: nat] :
( ~ ( chain_b_nat @ SV263 )
| ( ( SV263 @ SY512 )
= ( restrict_b_nat @ ( SV263 @ SY512 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1605]) ).
thf(1701,plain,
! [SV264: set_Pr9961929at_nat] :
( ( ! [SY513: set_Pr9961929at_nat] :
( ~ ( ord_le910748009at_nat @ SV264 @ SY513 )
| ~ ~ ( finite1987068434at_nat @ SV264 )
| ~ ( finite1987068434at_nat @ SY513 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1606]) ).
thf(1702,plain,
! [SV265: allegorical_term_b] :
( ( ! [SY514: allegorical_term_b,SY515: allegorical_term_b] :
( ( ( produc1223098053term_b @ ( produc1990145943term_b @ SV265 @ SY514 ) )
!= SY515 )
| ( SY514 = SY515 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1607]) ).
thf(1703,plain,
! [SV266: allegorical_term_b > $o] :
( ( ! [SY516: allegorical_term_b,SY517: allegorical_term_b > $o,SY518: allegorical_term_b] :
( ~ ( SV266 @ SY516 )
| ~ ( SY517 @ SY518 )
| ~ ( ~ ( SV266 @ ( produc854192515term_b @ ( produc1990145943term_b @ SY516 @ SY518 ) ) )
| ~ ( SY517 @ ( produc1223098053term_b @ ( produc1990145943term_b @ SY516 @ SY518 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1608]) ).
thf(1704,plain,
! [SV267: produc1478835367term_b] :
( ( ! [SY519: allegorical_term_b,SY520: allegorical_term_b] :
( ( SV267
!= ( produc1990145943term_b @ SY519 @ SY520 ) )
| ( ( produc854192515term_b @ SV267 )
= SY519 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1609]) ).
thf(1705,plain,
! [SV268: produc1478835367term_b] :
( ( ! [SY521: allegorical_term_b,SY522: allegorical_term_b] :
( ( SV268
!= ( produc1990145943term_b @ SY521 @ SY522 ) )
| ( ( produc1223098053term_b @ SV268 )
= SY522 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1610]) ).
thf(1706,plain,
! [SV269: labeled_graph_b_nat] :
( ( ! [SY523: labeled_graph_b_nat,SY524: labeled_graph_b_nat] :
( ~ ( graph_529870330at_nat @ SV269 @ SY523 @ ( id_on_nat @ ( labele460410879_b_nat @ SV269 ) ) )
| ~ ( graph_529870330at_nat @ SY523 @ SY524 @ ( id_on_nat @ ( labele460410879_b_nat @ SY523 ) ) )
| ( graph_529870330at_nat @ SV269 @ SY524 @ ( id_on_nat @ ( labele460410879_b_nat @ SV269 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1611]) ).
thf(1707,plain,
! [SV270: produc1235635379_b_nat > $o] :
( ( ! [SY525: produc1235635379_b_nat] :
( ~ ! [SY526: labeled_graph_b_nat,SY527: labeled_graph_b_nat] : ( SV270 @ ( produc951298923_b_nat @ SY526 @ SY527 ) )
| ( SV270 @ SY525 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1612]) ).
thf(1708,plain,
! [SV271: labeled_graph_b_nat > $o] :
( ( ! [SY528: labeled_graph_b_nat,SY529: labeled_graph_b_nat > $o,SY530: labeled_graph_b_nat] :
( ~ ( SV271 @ SY528 )
| ~ ( SY529 @ SY530 )
| ~ ( ~ ( SV271 @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ SY528 @ SY530 ) ) )
| ~ ( SY529 @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ SY528 @ SY530 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1613]) ).
thf(1709,plain,
! [SV272: allegorical_term_b] :
( ( ! [SY531: allegorical_term_b,SY532: allegorical_term_b,SY533: allegorical_term_b] :
( ( ( produc1990145943term_b @ SV272 @ SY531 )
= ( produc1990145943term_b @ SY532 @ SY533 ) )
= ( ~ ( ( SV272 != SY532 )
| ( SY531 != SY533 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1614]) ).
thf(1710,plain,
! [SV273: labeled_graph_b_nat] :
( ( ! [SY534: labeled_graph_b_nat] :
( ~ ( graph_529870330at_nat @ SV273 @ SY534 @ ( id_on_nat @ ( labele460410879_b_nat @ SV273 ) ) )
| ( ord_le910748009at_nat @ ( labeled_edges_b_nat @ ( restrict_b_nat @ SV273 ) ) @ ( labeled_edges_b_nat @ SY534 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1615]) ).
thf(1711,plain,
! [SV274: produc1235635379_b_nat > $o] :
( ( ! [SY535: produc1235635379_b_nat] :
( ~ ! [SY536: labeled_graph_b_nat,SY537: labeled_graph_b_nat] : ( SV274 @ ( produc951298923_b_nat @ SY536 @ SY537 ) )
| ( SV274 @ SY535 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1616]) ).
thf(1712,plain,
! [SV275: allegorical_term_b] :
( ( ! [SY538: allegorical_term_b,SY539: allegorical_term_b,SY540: allegorical_term_b] :
( ( ( produc1990145943term_b @ SV275 @ SY538 )
!= ( produc1990145943term_b @ SY539 @ SY540 ) )
| ~ ( ( SV275 != SY539 )
| ( SY538 != SY540 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1617]) ).
thf(1713,plain,
! [SV276: set_Pr9961929at_nat] :
( ( ! [SY541: set_Pr9961929at_nat] :
( ~ ( ord_le910748009at_nat @ SV276 @ SY541 )
| ~ ( finite1987068434at_nat @ SY541 )
| ( finite1987068434at_nat @ SV276 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1618]) ).
thf(1714,plain,
! [SV277: labeled_graph_b_nat] :
( ( ! [SY542: produc1235635379_b_nat] :
( ( SV277
= ( produc194497945_b_nat @ SY542 ) )
= ( ~ ! [SY543: labeled_graph_b_nat] :
( SY542
!= ( produc951298923_b_nat @ SY543 @ SV277 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1619]) ).
thf(1715,plain,
! [SV278: labeled_graph_b_nat > labeled_graph_b_nat > $o] :
( ( ! [SY544: labeled_graph_b_nat,SY545: labeled_graph_b_nat,SY546: produc1235635379_b_nat] :
( ~ ( SV278 @ SY544 @ SY545 )
| ( SY546
!= ( produc951298923_b_nat @ SY544 @ SY545 ) )
| ( SV278 @ ( produc1542243159_b_nat @ SY546 ) @ ( produc194497945_b_nat @ SY546 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1620]) ).
thf(1716,plain,
! [SV279: labeled_graph_b_nat] :
( ( ~ ( ord_le910748009at_nat @ ( labeled_edges_b_nat @ SV279 ) @ ( labeled_edges_b_nat @ ( restrict_b_nat @ SV279 ) ) )
| ( SV279
= ( restrict_b_nat @ SV279 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1621]) ).
thf(1717,plain,
! [SV280: allegorical_term_b > allegorical_term_b > $o] :
( ( ! [SY547: produc1478835367term_b] :
( ~ ( SV280 @ ( produc1223098053term_b @ SY547 ) @ ( produc854192515term_b @ SY547 ) )
| ~ ! [SY548: allegorical_term_b,SY549: allegorical_term_b] :
~ ( SV280 @ SY549 @ SY548 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1622]) ).
thf(1718,plain,
! [SV281: allegorical_term_b] :
( ( ! [SY550: allegorical_term_b,SY551: allegorical_term_b,SY552: allegorical_term_b] :
( ( ( produc1990145943term_b @ SV281 @ SY550 )
= ( produc1990145943term_b @ SY551 @ SY552 ) )
= ( ~ ( ( SV281 != SY551 )
| ( SY550 != SY552 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1623]) ).
thf(1719,plain,
! [SV282: allegorical_term_b] :
( ( ! [SY553: allegorical_term_b,SY554: allegorical_term_b] :
( ( ( produc854192515term_b @ ( produc1990145943term_b @ SV282 @ SY553 ) )
!= SY554 )
| ( SV282 = SY554 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1624]) ).
thf(1720,plain,
! [SV283: allegorical_term_b] :
( ( ! [SY555: allegorical_term_b,SY556: set_Pr1163220871term_b,SY557: allegorical_term_b] :
( ~ ( member516522448term_b @ ( produc1990145943term_b @ SV283 @ SY555 ) @ SY556 )
| ( SY557 != SY555 )
| ( member516522448term_b @ ( produc1990145943term_b @ SV283 @ SY557 ) @ SY556 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1625]) ).
thf(1721,plain,
! [SV284: labeled_graph_b_nat] :
( ( ! [SY558: labeled_graph_b_nat] :
( ~ ( graph_529870330at_nat @ SV284 @ SY558 @ ( id_on_nat @ ( labele460410879_b_nat @ SV284 ) ) )
| ( ord_less_eq_set_nat @ ( labele460410879_b_nat @ SV284 ) @ ( labele460410879_b_nat @ SY558 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1626]) ).
thf(1722,plain,
! [SV285: set_Pr9961929at_nat] :
( ( ! [SY559: set_Pr9961929at_nat] :
( ~ ( finite1987068434at_nat @ SV285 )
| ~ ( ord_le910748009at_nat @ SY559 @ SV285 )
| ( finite1987068434at_nat @ SY559 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1627]) ).
thf(1723,plain,
! [SV286: allegorical_term_b] :
( ( ! [SY560: allegorical_term_b] :
~ ( ~ ~ ( ~ ~ ( ~ ( graph_529870330at_nat @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV286 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV286 @ SY560 ) ) ) ) @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV286 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV286 @ SY560 ) ) ) ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV286 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV286 @ SY560 ) ) ) ) ) ) )
| ( ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV286 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV286 @ SY560 ) ) ) )
!= ( restrict_b_nat @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV286 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV286 @ SY560 ) ) ) ) ) ) )
| ~ ( finite_finite_nat @ ( labele460410879_b_nat @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV286 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV286 @ SY560 ) ) ) ) ) ) )
| ~ ( finite1987068434at_nat @ ( labeled_edges_b_nat @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV286 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV286 @ SY560 ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1628]) ).
thf(1724,plain,
! [SV287: b] :
( ( ~ ( ~ ~ ( ~ ~ ( ~ ( graph_529870330at_nat @ ( produc1542243159_b_nat @ ( standa1329480013rule_b @ SV287 ) ) @ ( produc194497945_b_nat @ ( standa1329480013rule_b @ SV287 ) ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ ( standa1329480013rule_b @ SV287 ) ) ) ) )
| ( ( produc194497945_b_nat @ ( standa1329480013rule_b @ SV287 ) )
!= ( restrict_b_nat @ ( produc194497945_b_nat @ ( standa1329480013rule_b @ SV287 ) ) ) ) )
| ~ ( finite_finite_nat @ ( labele460410879_b_nat @ ( produc194497945_b_nat @ ( standa1329480013rule_b @ SV287 ) ) ) ) )
| ~ ( finite1987068434at_nat @ ( labeled_edges_b_nat @ ( produc194497945_b_nat @ ( standa1329480013rule_b @ SV287 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1629]) ).
thf(1725,plain,
! [SV288: labeled_graph_b_nat] :
( ( ! [SY561: labeled_graph_b_nat,SY562: labeled_graph_b_nat,SY563: labeled_graph_b_nat] :
( ( ( produc951298923_b_nat @ SV288 @ SY561 )
= ( produc951298923_b_nat @ SY562 @ SY563 ) )
= ( ~ ( ( SV288 != SY562 )
| ( SY561 != SY563 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1630]) ).
thf(1726,plain,
! [SV289: produc1478835367term_b > $o] :
( ( ! [SY564: produc1478835367term_b] :
( ~ ! [SY565: allegorical_term_b,SY566: allegorical_term_b] : ( SV289 @ ( produc1990145943term_b @ SY565 @ SY566 ) )
| ( SV289 @ SY564 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1631]) ).
thf(1727,plain,
! [SV290: labeled_graph_b_nat] :
( ( ! [SY567: produc1235635379_b_nat] :
( ( SV290
= ( produc1542243159_b_nat @ SY567 ) )
= ( ~ ! [SY568: labeled_graph_b_nat] :
( SY567
!= ( produc951298923_b_nat @ SV290 @ SY568 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1632]) ).
thf(1728,plain,
! [SV291: b] :
( ( ~ ( ~ ~ ( ~ ~ ( ~ ( graph_529870330at_nat @ ( produc1542243159_b_nat @ ( standa1360217389rule_b @ SV291 ) ) @ ( produc194497945_b_nat @ ( standa1360217389rule_b @ SV291 ) ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ ( standa1360217389rule_b @ SV291 ) ) ) ) )
| ( ( produc194497945_b_nat @ ( standa1360217389rule_b @ SV291 ) )
!= ( restrict_b_nat @ ( produc194497945_b_nat @ ( standa1360217389rule_b @ SV291 ) ) ) ) )
| ~ ( finite_finite_nat @ ( labele460410879_b_nat @ ( produc194497945_b_nat @ ( standa1360217389rule_b @ SV291 ) ) ) ) )
| ~ ( finite1987068434at_nat @ ( labeled_edges_b_nat @ ( produc194497945_b_nat @ ( standa1360217389rule_b @ SV291 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1633]) ).
thf(1729,plain,
! [SV292: set_nat] :
( ( ! [SY569: set_nat] :
( ~ ( finite_finite_nat @ SV292 )
| ~ ( ord_less_eq_set_nat @ SY569 @ SV292 )
| ( finite_finite_nat @ SY569 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1634]) ).
thf(1730,plain,
! [SV293: allegorical_term_b] :
( ( ! [SY570: allegorical_term_b,SY571: allegorical_term_b,SY572: allegorical_term_b] :
( ( ( allegorical_A_Int_b @ SV293 @ SY570 )
= ( allegorical_A_Int_b @ SY571 @ SY572 ) )
= ( ~ ( ( SV293 != SY571 )
| ( SY570 != SY572 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1635]) ).
thf(1731,plain,
! [SV294: produc1235635379_b_nat] :
( ( ~ ! [SY573: labeled_graph_b_nat,SY574: labeled_graph_b_nat] :
( SV294
!= ( produc951298923_b_nat @ SY573 @ SY574 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1636]) ).
thf(1732,plain,
! [SV205: labeled_graph_b_nat] :
( ( ~ ( ( graph_529870330at_nat @ SV205 @ SV205 @ ( id_on_nat @ ( labele460410879_b_nat @ SV205 ) ) )
| ( SV205
= ( restrict_b_nat @ SV205 ) ) )
| ~ ( ~ ( graph_529870330at_nat @ SV205 @ SV205 @ ( id_on_nat @ ( labele460410879_b_nat @ SV205 ) ) )
| ( SV205
!= ( restrict_b_nat @ SV205 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1637]) ).
thf(1733,plain,
! [SV205: labeled_graph_b_nat] :
( ( ( graph_529870330at_nat @ SV205 @ SV205 @ ( id_on_nat @ ( labele460410879_b_nat @ SV205 ) ) )
= ( SV205
= ( restrict_b_nat @ SV205 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1637]) ).
thf(1734,plain,
! [SV206: labeled_graph_b_nat] :
( ( ~ ( ( graph_529870330at_nat @ SV206 @ ( restrict_b_nat @ SV206 ) @ ( id_on_nat @ ( labele460410879_b_nat @ SV206 ) ) )
| ( SV206
= ( restrict_b_nat @ SV206 ) ) )
| ~ ( ~ ( graph_529870330at_nat @ SV206 @ ( restrict_b_nat @ SV206 ) @ ( id_on_nat @ ( labele460410879_b_nat @ SV206 ) ) )
| ( SV206
!= ( restrict_b_nat @ SV206 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1638]) ).
thf(1735,plain,
! [SV206: labeled_graph_b_nat] :
( ( ( graph_529870330at_nat @ SV206 @ ( restrict_b_nat @ SV206 ) @ ( id_on_nat @ ( labele460410879_b_nat @ SV206 ) ) )
= ( SV206
= ( restrict_b_nat @ SV206 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1638]) ).
thf(1736,plain,
! [SV295: allegorical_term_b] :
( ( ( translation_b @ SV295 )
= ( restrict_b_nat @ ( translation_b @ SV295 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1644]) ).
thf(1737,plain,
! [SV296: labeled_graph_b_nat,SV215: labeled_graph_b_nat] :
( ( ( produc1542243159_b_nat @ ( produc951298923_b_nat @ SV215 @ SV296 ) )
= SV215 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1648]) ).
thf(1738,plain,
! [SV297: allegorical_term_b,SV216: allegorical_term_b] :
( ( ( produc854192515term_b @ ( produc1990145943term_b @ SV216 @ SV297 ) )
= SV216 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1649]) ).
thf(1739,plain,
! [SV298: allegorical_term_b,SV217: allegorical_term_b] :
( ( ( produc1223098053term_b @ ( produc1990145943term_b @ SV217 @ SV298 ) )
= SV298 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1650]) ).
thf(1740,plain,
! [SV299: labeled_graph_b_nat,SV218: labeled_graph_b_nat] :
( ( ( produc194497945_b_nat @ ( produc951298923_b_nat @ SV218 @ SV299 ) )
= SV299 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1651]) ).
thf(1741,plain,
! [SV300: set_nat,SV225: set_Pr9961929at_nat] :
( ( ( labele460410879_b_nat @ ( labeled_LG_b_nat @ SV225 @ SV300 ) )
= SV300 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1658]) ).
thf(1742,plain,
! [SV301: set_nat,SV226: set_Pr9961929at_nat] :
( ( ( labeled_edges_b_nat @ ( labeled_LG_b_nat @ SV226 @ SV301 ) )
= SV226 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1659]) ).
thf(1743,plain,
! [SV302: labeled_graph_b_nat,SV230: labeled_graph_b_nat] :
( ( ! [SY575: set_Pr551076371_b_nat,SY576: labeled_graph_b_nat] :
( ~ ( member963855452_b_nat @ ( produc951298923_b_nat @ SV230 @ SV302 ) @ SY575 )
| ( SY576 != SV302 )
| ( member963855452_b_nat @ ( produc951298923_b_nat @ SV230 @ SY576 ) @ SY575 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1664]) ).
thf(1744,plain,
! [SV303: labeled_graph_b_nat,SV231: labeled_graph_b_nat] :
( ( ! [SY577: labeled_graph_b_nat,SY578: labeled_graph_b_nat] :
( ( ( produc951298923_b_nat @ SV231 @ SV303 )
= ( produc951298923_b_nat @ SY577 @ SY578 ) )
= ( ~ ( ( SV231 != SY577 )
| ( SV303 != SY578 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1665]) ).
thf(1745,plain,
! [SV232: produc1478835367term_b] :
( ( ! [SY456: allegorical_term_b,SY457: allegorical_term_b] :
( SV232
!= ( produc1990145943term_b @ SY456 @ SY457 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1666]) ).
thf(1746,plain,
! [SV304: allegorical_term_b,SV233: allegorical_term_b > allegorical_term_b > $o] :
( ( ! [SY579: allegorical_term_b] :
( ~ ( SV233 @ SV304 @ SY579 )
| ( SV233 @ ( produc1223098053term_b @ ( produc1990145943term_b @ SY579 @ SV304 ) ) @ ( produc854192515term_b @ ( produc1990145943term_b @ SY579 @ SV304 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1667]) ).
thf(1747,plain,
! [SV305: produc1478835367term_b,SV234: produc1478835367term_b] :
( ( ~ ~ ( ( ( produc854192515term_b @ SV234 )
!= ( produc854192515term_b @ SV305 ) )
| ( ( produc1223098053term_b @ SV234 )
!= ( produc1223098053term_b @ SV305 ) ) )
| ( SV234 = SV305 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1668]) ).
thf(1748,plain,
! [SV306: labeled_graph_b_nat,SV235: labeled_graph_b_nat] :
( ( ! [SY580: labeled_graph_b_nat] :
( ( ( produc1542243159_b_nat @ ( produc951298923_b_nat @ SV235 @ SV306 ) )
!= SY580 )
| ( SV235 = SY580 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1669]) ).
thf(1749,plain,
! [SV307: produc1235635379_b_nat] :
( ( ( ^ [SY581: produc1235635379_b_nat] : ( SV307 = SY581 ) )
= ( ^ [SY582: produc1235635379_b_nat] :
~ ( ( ( produc1542243159_b_nat @ SV307 )
!= ( produc1542243159_b_nat @ SY582 ) )
| ( ( produc194497945_b_nat @ SV307 )
!= ( produc194497945_b_nat @ SY582 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1670]) ).
thf(1750,plain,
! [SV308: labeled_graph_b_nat,SV237: produc1235635379_b_nat] :
( ( ! [SY583: labeled_graph_b_nat] :
( ( SV237
!= ( produc951298923_b_nat @ SV308 @ SY583 ) )
| ( ( produc194497945_b_nat @ SV237 )
= SY583 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1672]) ).
thf(1751,plain,
! [SV309: set_nat,SV238: set_nat] :
( ( ~ ( ord_less_eq_set_nat @ SV238 @ SV309 )
| ~ ~ ( finite_finite_nat @ SV238 )
| ~ ( finite_finite_nat @ SV309 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1673]) ).
thf(1752,plain,
! [SV310: set_nat,SV239: set_nat] :
( ( ~ ( ord_less_eq_set_nat @ SV239 @ SV310 )
| ~ ( finite_finite_nat @ SV310 )
| ( finite_finite_nat @ SV239 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1674]) ).
thf(1753,plain,
! [SV311: labeled_graph_b_nat,SV240: labeled_graph_b_nat] :
( ( ! [SY584: labeled_graph_b_nat,SY585: set_Pr1986765409at_nat] :
( ~ ( graph_529870330at_nat @ SV240 @ SV311 @ ( id_on_nat @ ( labele460410879_b_nat @ SV240 ) ) )
| ~ ( graph_529870330at_nat @ SY584 @ SV240 @ SY585 )
| ( graph_529870330at_nat @ SY584 @ SV311 @ SY585 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1675]) ).
thf(1754,plain,
! [SV312: labeled_graph_b_nat,SV241: labeled_graph_b_nat] :
( ( ~ ~ ( ( ( labeled_edges_b_nat @ SV241 )
!= ( labeled_edges_b_nat @ SV312 ) )
| ( ( labele460410879_b_nat @ SV241 )
!= ( labele460410879_b_nat @ SV312 ) ) )
| ( SV241 = SV312 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1676]) ).
thf(1755,plain,
! [SV313: labeled_graph_b_nat,SV242: labeled_graph_b_nat > labeled_graph_b_nat > $o] :
( ( ! [SY586: labeled_graph_b_nat] :
( ~ ( SV242 @ SV313 @ SY586 )
| ( SV242 @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ SY586 @ SV313 ) ) @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ SY586 @ SV313 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1677]) ).
thf(1756,plain,
! [SV243: produc1235635379_b_nat] :
( ( ! [SY475: labeled_graph_b_nat] :
~ ~ ! [SY476: labeled_graph_b_nat] :
( SV243
!= ( produc951298923_b_nat @ SY475 @ SY476 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1678]) ).
thf(1757,plain,
! [SV244: set_nat] :
( ( ( ~ ~ ( finite_finite_nat @ SV244 ) )
= $true )
| ( ( SV244 != bot_bot_set_nat )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1679]) ).
thf(1758,plain,
! [SV314: produc1235635379_b_nat,SV245: produc1235635379_b_nat] :
( ( ~ ~ ( ( ( produc1542243159_b_nat @ SV245 )
!= ( produc1542243159_b_nat @ SV314 ) )
| ( ( produc194497945_b_nat @ SV245 )
!= ( produc194497945_b_nat @ SV314 ) ) )
| ( SV245 = SV314 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1680]) ).
thf(1759,plain,
! [SV315: produc1478835367term_b,SV246: produc1478835367term_b] :
( ( ( ( produc854192515term_b @ SV246 )
!= ( produc854192515term_b @ SV315 ) )
| ( ( produc1223098053term_b @ SV246 )
!= ( produc1223098053term_b @ SV315 ) )
| ( SV246 = SV315 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1681]) ).
thf(1760,plain,
! [SV316: labeled_graph_b_nat,SV247: labeled_graph_b_nat] :
( ( ! [SY587: labeled_graph_b_nat,SY588: labeled_graph_b_nat] :
( ( ( produc951298923_b_nat @ SV247 @ SV316 )
!= ( produc951298923_b_nat @ SY587 @ SY588 ) )
| ~ ( ( SV247 != SY587 )
| ( SV316 != SY588 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1682]) ).
thf(1761,plain,
! [SV317: allegorical_term_b,SV248: allegorical_term_b > allegorical_term_b > $o] :
( ( ! [SY589: allegorical_term_b,SY590: produc1478835367term_b] :
( ~ ( SV248 @ SV317 @ SY589 )
| ( SY590
!= ( produc1990145943term_b @ SV317 @ SY589 ) )
| ( SV248 @ ( produc854192515term_b @ SY590 ) @ ( produc1223098053term_b @ SY590 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1683]) ).
thf(1762,plain,
! [SV318: produc1235635379_b_nat,SV249: labeled_graph_b_nat > labeled_graph_b_nat > $o] :
( ( ~ ( SV249 @ ( produc194497945_b_nat @ SV318 ) @ ( produc1542243159_b_nat @ SV318 ) )
| ~ ! [SY486: labeled_graph_b_nat,SY487: labeled_graph_b_nat] :
~ ( SV249 @ SY487 @ SY486 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1684]) ).
thf(1763,plain,
! [SV319: labeled_graph_b_nat,SV250: labeled_graph_b_nat] :
( ( ( graph_529870330at_nat @ SV250 @ SV319 @ ( id_on_nat @ ( labele460410879_b_nat @ SV250 ) ) )
= ( ~ ( ~ ~ ( ( SV250
!= ( restrict_b_nat @ SV250 ) )
| ( SV319
!= ( restrict_b_nat @ SV319 ) ) )
| ( ( graph_union_b_nat @ SV250 @ SV319 )
!= SV319 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1685]) ).
thf(1764,plain,
! [SV251: produc1478835367term_b] :
( ( ! [SY489: allegorical_term_b] :
~ ~ ! [SY490: allegorical_term_b] :
( SV251
!= ( produc1990145943term_b @ SY489 @ SY490 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1686]) ).
thf(1765,plain,
! [SV252: set_Pr9961929at_nat] :
( ( ( ~ ~ ( finite1987068434at_nat @ SV252 ) )
= $true )
| ( ( SV252 != bot_bo1626616373at_nat )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1687]) ).
thf(1766,plain,
! [SV320: produc1478835367term_b,SV253: produc1478835367term_b > $o] :
( ( ~ ! [SY492: allegorical_term_b,SY493: allegorical_term_b] : ( SV253 @ ( produc1990145943term_b @ SY492 @ SY493 ) )
| ( SV253 @ SV320 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1688]) ).
thf(1767,plain,
! [SV321: produc1478835367term_b,SV254: allegorical_term_b] :
( ( ( SV254
= ( produc854192515term_b @ SV321 ) )
= ( ~ ! [SY595: allegorical_term_b] :
( SV321
!= ( produc1990145943term_b @ SV254 @ SY595 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1689]) ).
thf(1768,plain,
! [SV322: labeled_graph_b_nat,SV255: labeled_graph_b_nat] :
( ( ! [SY596: set_Pr1986765409at_nat,SY597: labeled_graph_b_nat,SY598: set_Pr1986765409at_nat] :
( ~ ( graph_529870330at_nat @ SV255 @ SV322 @ SY596 )
| ~ ( graph_529870330at_nat @ SV322 @ SY597 @ SY598 )
| ( graph_529870330at_nat @ SV255 @ SY597 @ ( relcomp_nat_nat_nat @ SY596 @ SY598 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1690]) ).
thf(1769,plain,
! [SV323: produc1478835367term_b,SV256: allegorical_term_b] :
( ( ( SV256
= ( produc1223098053term_b @ SV323 ) )
= ( ~ ! [SY599: allegorical_term_b] :
( SV323
!= ( produc1990145943term_b @ SY599 @ SV256 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1691]) ).
thf(1770,plain,
! [SV324: labeled_graph_b_nat,SV257: labeled_graph_b_nat] :
( ( ( SV257
!= ( restrict_b_nat @ SV257 ) )
| ( SV324
!= ( restrict_b_nat @ SV324 ) )
| ( ( graph_union_b_nat @ SV257 @ SV324 )
= ( restrict_b_nat @ ( graph_union_b_nat @ SV257 @ SV324 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1692]) ).
thf(1771,plain,
! [SV325: labeled_graph_b_nat,SV258: labeled_graph_b_nat] :
( ( ! [SY600: set_Pr1986765409at_nat] :
( ~ ( graph_529870330at_nat @ SV258 @ SV325 @ SY600 )
| ( extensible_b_nat_nat @ ( produc951298923_b_nat @ SV258 @ SV258 ) @ SV325 @ SY600 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1693]) ).
thf(1772,plain,
! [SV326: produc1478835367term_b] :
( ( ( ^ [SY601: produc1478835367term_b] : ( SV326 = SY601 ) )
= ( ^ [SY602: produc1478835367term_b] :
~ ( ( ( produc854192515term_b @ SV326 )
!= ( produc854192515term_b @ SY602 ) )
| ( ( produc1223098053term_b @ SV326 )
!= ( produc1223098053term_b @ SY602 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1694]) ).
thf(1773,plain,
( ( ~ ~ ( ~ ~ ( ~ ( graph_529870330at_nat @ ( produc1542243159_b_nat @ standa879863266rule_b ) @ ( produc194497945_b_nat @ standa879863266rule_b ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ standa879863266rule_b ) ) ) )
| ( ( produc194497945_b_nat @ standa879863266rule_b )
!= ( restrict_b_nat @ ( produc194497945_b_nat @ standa879863266rule_b ) ) ) )
| ~ ( finite_finite_nat @ ( labele460410879_b_nat @ ( produc194497945_b_nat @ standa879863266rule_b ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1696]) ).
thf(1774,plain,
( ( ~ ( finite1987068434at_nat @ ( labeled_edges_b_nat @ ( produc194497945_b_nat @ standa879863266rule_b ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1696]) ).
thf(1775,plain,
! [SV327: labeled_graph_b_nat,SV260: labeled_graph_b_nat] :
( ( ! [SY603: labeled_graph_b_nat] :
( ( ( produc194497945_b_nat @ ( produc951298923_b_nat @ SV260 @ SV327 ) )
!= SY603 )
| ( SV327 = SY603 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1697]) ).
thf(1776,plain,
! [SV328: produc1235635379_b_nat,SV261: produc1235635379_b_nat] :
( ( ( ( produc1542243159_b_nat @ SV261 )
!= ( produc1542243159_b_nat @ SV328 ) )
| ( ( produc194497945_b_nat @ SV261 )
!= ( produc194497945_b_nat @ SV328 ) )
| ( SV261 = SV328 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1698]) ).
thf(1777,plain,
! [SV329: labeled_graph_b_nat,SV262: produc1235635379_b_nat] :
( ( ! [SY604: labeled_graph_b_nat] :
( ( SV262
!= ( produc951298923_b_nat @ SV329 @ SY604 ) )
| ( ( produc1542243159_b_nat @ SV262 )
= SV329 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1699]) ).
thf(1778,plain,
! [SV330: nat,SV263: nat > labeled_graph_b_nat] :
( ( ~ ( chain_b_nat @ SV263 )
| ( ( SV263 @ SV330 )
= ( restrict_b_nat @ ( SV263 @ SV330 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1700]) ).
thf(1779,plain,
! [SV331: set_Pr9961929at_nat,SV264: set_Pr9961929at_nat] :
( ( ~ ( ord_le910748009at_nat @ SV264 @ SV331 )
| ~ ~ ( finite1987068434at_nat @ SV264 )
| ~ ( finite1987068434at_nat @ SV331 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1701]) ).
thf(1780,plain,
! [SV332: allegorical_term_b,SV265: allegorical_term_b] :
( ( ! [SY605: allegorical_term_b] :
( ( ( produc1223098053term_b @ ( produc1990145943term_b @ SV265 @ SV332 ) )
!= SY605 )
| ( SV332 = SY605 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1702]) ).
thf(1781,plain,
! [SV333: allegorical_term_b,SV266: allegorical_term_b > $o] :
( ( ! [SY606: allegorical_term_b > $o,SY607: allegorical_term_b] :
( ~ ( SV266 @ SV333 )
| ~ ( SY606 @ SY607 )
| ~ ( ~ ( SV266 @ ( produc854192515term_b @ ( produc1990145943term_b @ SV333 @ SY607 ) ) )
| ~ ( SY606 @ ( produc1223098053term_b @ ( produc1990145943term_b @ SV333 @ SY607 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1703]) ).
thf(1782,plain,
! [SV334: allegorical_term_b,SV267: produc1478835367term_b] :
( ( ! [SY608: allegorical_term_b] :
( ( SV267
!= ( produc1990145943term_b @ SV334 @ SY608 ) )
| ( ( produc854192515term_b @ SV267 )
= SV334 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1704]) ).
thf(1783,plain,
! [SV335: allegorical_term_b,SV268: produc1478835367term_b] :
( ( ! [SY609: allegorical_term_b] :
( ( SV268
!= ( produc1990145943term_b @ SV335 @ SY609 ) )
| ( ( produc1223098053term_b @ SV268 )
= SY609 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1705]) ).
thf(1784,plain,
! [SV336: labeled_graph_b_nat,SV269: labeled_graph_b_nat] :
( ( ! [SY610: labeled_graph_b_nat] :
( ~ ( graph_529870330at_nat @ SV269 @ SV336 @ ( id_on_nat @ ( labele460410879_b_nat @ SV269 ) ) )
| ~ ( graph_529870330at_nat @ SV336 @ SY610 @ ( id_on_nat @ ( labele460410879_b_nat @ SV336 ) ) )
| ( graph_529870330at_nat @ SV269 @ SY610 @ ( id_on_nat @ ( labele460410879_b_nat @ SV269 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1706]) ).
thf(1785,plain,
! [SV337: produc1235635379_b_nat,SV270: produc1235635379_b_nat > $o] :
( ( ~ ! [SY526: labeled_graph_b_nat,SY527: labeled_graph_b_nat] : ( SV270 @ ( produc951298923_b_nat @ SY526 @ SY527 ) )
| ( SV270 @ SV337 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1707]) ).
thf(1786,plain,
! [SV338: labeled_graph_b_nat,SV271: labeled_graph_b_nat > $o] :
( ( ! [SY613: labeled_graph_b_nat > $o,SY614: labeled_graph_b_nat] :
( ~ ( SV271 @ SV338 )
| ~ ( SY613 @ SY614 )
| ~ ( ~ ( SV271 @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ SV338 @ SY614 ) ) )
| ~ ( SY613 @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ SV338 @ SY614 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1708]) ).
thf(1787,plain,
! [SV339: allegorical_term_b,SV272: allegorical_term_b] :
( ( ! [SY615: allegorical_term_b,SY616: allegorical_term_b] :
( ( ( produc1990145943term_b @ SV272 @ SV339 )
= ( produc1990145943term_b @ SY615 @ SY616 ) )
= ( ~ ( ( SV272 != SY615 )
| ( SV339 != SY616 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1709]) ).
thf(1788,plain,
! [SV340: labeled_graph_b_nat,SV273: labeled_graph_b_nat] :
( ( ~ ( graph_529870330at_nat @ SV273 @ SV340 @ ( id_on_nat @ ( labele460410879_b_nat @ SV273 ) ) )
| ( ord_le910748009at_nat @ ( labeled_edges_b_nat @ ( restrict_b_nat @ SV273 ) ) @ ( labeled_edges_b_nat @ SV340 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1710]) ).
thf(1789,plain,
! [SV341: produc1235635379_b_nat,SV274: produc1235635379_b_nat > $o] :
( ( ~ ! [SY536: labeled_graph_b_nat,SY537: labeled_graph_b_nat] : ( SV274 @ ( produc951298923_b_nat @ SY536 @ SY537 ) )
| ( SV274 @ SV341 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1711]) ).
thf(1790,plain,
! [SV342: allegorical_term_b,SV275: allegorical_term_b] :
( ( ! [SY619: allegorical_term_b,SY620: allegorical_term_b] :
( ( ( produc1990145943term_b @ SV275 @ SV342 )
!= ( produc1990145943term_b @ SY619 @ SY620 ) )
| ~ ( ( SV275 != SY619 )
| ( SV342 != SY620 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1712]) ).
thf(1791,plain,
! [SV343: set_Pr9961929at_nat,SV276: set_Pr9961929at_nat] :
( ( ~ ( ord_le910748009at_nat @ SV276 @ SV343 )
| ~ ( finite1987068434at_nat @ SV343 )
| ( finite1987068434at_nat @ SV276 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1713]) ).
thf(1792,plain,
! [SV344: produc1235635379_b_nat,SV277: labeled_graph_b_nat] :
( ( ( SV277
= ( produc194497945_b_nat @ SV344 ) )
= ( ~ ! [SY621: labeled_graph_b_nat] :
( SV344
!= ( produc951298923_b_nat @ SY621 @ SV277 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1714]) ).
thf(1793,plain,
! [SV345: labeled_graph_b_nat,SV278: labeled_graph_b_nat > labeled_graph_b_nat > $o] :
( ( ! [SY622: labeled_graph_b_nat,SY623: produc1235635379_b_nat] :
( ~ ( SV278 @ SV345 @ SY622 )
| ( SY623
!= ( produc951298923_b_nat @ SV345 @ SY622 ) )
| ( SV278 @ ( produc1542243159_b_nat @ SY623 ) @ ( produc194497945_b_nat @ SY623 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1715]) ).
thf(1794,plain,
! [SV279: labeled_graph_b_nat] :
( ( ( ~ ( ord_le910748009at_nat @ ( labeled_edges_b_nat @ SV279 ) @ ( labeled_edges_b_nat @ ( restrict_b_nat @ SV279 ) ) ) )
= $true )
| ( ( SV279
= ( restrict_b_nat @ SV279 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1716]) ).
thf(1795,plain,
! [SV346: produc1478835367term_b,SV280: allegorical_term_b > allegorical_term_b > $o] :
( ( ~ ( SV280 @ ( produc1223098053term_b @ SV346 ) @ ( produc854192515term_b @ SV346 ) )
| ~ ! [SY548: allegorical_term_b,SY549: allegorical_term_b] :
~ ( SV280 @ SY549 @ SY548 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1717]) ).
thf(1796,plain,
! [SV347: allegorical_term_b,SV281: allegorical_term_b] :
( ( ! [SY626: allegorical_term_b,SY627: allegorical_term_b] :
( ( ( produc1990145943term_b @ SV281 @ SV347 )
= ( produc1990145943term_b @ SY626 @ SY627 ) )
= ( ~ ( ( SV281 != SY626 )
| ( SV347 != SY627 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1718]) ).
thf(1797,plain,
! [SV348: allegorical_term_b,SV282: allegorical_term_b] :
( ( ! [SY628: allegorical_term_b] :
( ( ( produc854192515term_b @ ( produc1990145943term_b @ SV282 @ SV348 ) )
!= SY628 )
| ( SV282 = SY628 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1719]) ).
thf(1798,plain,
! [SV349: allegorical_term_b,SV283: allegorical_term_b] :
( ( ! [SY629: set_Pr1163220871term_b,SY630: allegorical_term_b] :
( ~ ( member516522448term_b @ ( produc1990145943term_b @ SV283 @ SV349 ) @ SY629 )
| ( SY630 != SV349 )
| ( member516522448term_b @ ( produc1990145943term_b @ SV283 @ SY630 ) @ SY629 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1720]) ).
thf(1799,plain,
! [SV350: labeled_graph_b_nat,SV284: labeled_graph_b_nat] :
( ( ~ ( graph_529870330at_nat @ SV284 @ SV350 @ ( id_on_nat @ ( labele460410879_b_nat @ SV284 ) ) )
| ( ord_less_eq_set_nat @ ( labele460410879_b_nat @ SV284 ) @ ( labele460410879_b_nat @ SV350 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1721]) ).
thf(1800,plain,
! [SV351: set_Pr9961929at_nat,SV285: set_Pr9961929at_nat] :
( ( ~ ( finite1987068434at_nat @ SV285 )
| ~ ( ord_le910748009at_nat @ SV351 @ SV285 )
| ( finite1987068434at_nat @ SV351 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1722]) ).
thf(1801,plain,
! [SV352: allegorical_term_b,SV286: allegorical_term_b] :
( ( ~ ( ~ ~ ( ~ ~ ( ~ ( graph_529870330at_nat @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV286 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV286 @ SV352 ) ) ) ) @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV286 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV286 @ SV352 ) ) ) ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV286 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV286 @ SV352 ) ) ) ) ) ) )
| ( ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV286 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV286 @ SV352 ) ) ) )
!= ( restrict_b_nat @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV286 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV286 @ SV352 ) ) ) ) ) ) )
| ~ ( finite_finite_nat @ ( labele460410879_b_nat @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV286 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV286 @ SV352 ) ) ) ) ) ) )
| ~ ( finite1987068434at_nat @ ( labeled_edges_b_nat @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV286 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV286 @ SV352 ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1723]) ).
thf(1802,plain,
! [SV287: b] :
( ( ~ ~ ( ~ ~ ( ~ ( graph_529870330at_nat @ ( produc1542243159_b_nat @ ( standa1329480013rule_b @ SV287 ) ) @ ( produc194497945_b_nat @ ( standa1329480013rule_b @ SV287 ) ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ ( standa1329480013rule_b @ SV287 ) ) ) ) )
| ( ( produc194497945_b_nat @ ( standa1329480013rule_b @ SV287 ) )
!= ( restrict_b_nat @ ( produc194497945_b_nat @ ( standa1329480013rule_b @ SV287 ) ) ) ) )
| ~ ( finite_finite_nat @ ( labele460410879_b_nat @ ( produc194497945_b_nat @ ( standa1329480013rule_b @ SV287 ) ) ) ) )
| ~ ( finite1987068434at_nat @ ( labeled_edges_b_nat @ ( produc194497945_b_nat @ ( standa1329480013rule_b @ SV287 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1724]) ).
thf(1803,plain,
! [SV353: labeled_graph_b_nat,SV288: labeled_graph_b_nat] :
( ( ! [SY631: labeled_graph_b_nat,SY632: labeled_graph_b_nat] :
( ( ( produc951298923_b_nat @ SV288 @ SV353 )
= ( produc951298923_b_nat @ SY631 @ SY632 ) )
= ( ~ ( ( SV288 != SY631 )
| ( SV353 != SY632 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1725]) ).
thf(1804,plain,
! [SV354: produc1478835367term_b,SV289: produc1478835367term_b > $o] :
( ( ~ ! [SY565: allegorical_term_b,SY566: allegorical_term_b] : ( SV289 @ ( produc1990145943term_b @ SY565 @ SY566 ) )
| ( SV289 @ SV354 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1726]) ).
thf(1805,plain,
! [SV355: produc1235635379_b_nat,SV290: labeled_graph_b_nat] :
( ( ( SV290
= ( produc1542243159_b_nat @ SV355 ) )
= ( ~ ! [SY635: labeled_graph_b_nat] :
( SV355
!= ( produc951298923_b_nat @ SV290 @ SY635 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1727]) ).
thf(1806,plain,
! [SV291: b] :
( ( ~ ~ ( ~ ~ ( ~ ( graph_529870330at_nat @ ( produc1542243159_b_nat @ ( standa1360217389rule_b @ SV291 ) ) @ ( produc194497945_b_nat @ ( standa1360217389rule_b @ SV291 ) ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ ( standa1360217389rule_b @ SV291 ) ) ) ) )
| ( ( produc194497945_b_nat @ ( standa1360217389rule_b @ SV291 ) )
!= ( restrict_b_nat @ ( produc194497945_b_nat @ ( standa1360217389rule_b @ SV291 ) ) ) ) )
| ~ ( finite_finite_nat @ ( labele460410879_b_nat @ ( produc194497945_b_nat @ ( standa1360217389rule_b @ SV291 ) ) ) ) )
| ~ ( finite1987068434at_nat @ ( labeled_edges_b_nat @ ( produc194497945_b_nat @ ( standa1360217389rule_b @ SV291 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1728]) ).
thf(1807,plain,
! [SV356: set_nat,SV292: set_nat] :
( ( ~ ( finite_finite_nat @ SV292 )
| ~ ( ord_less_eq_set_nat @ SV356 @ SV292 )
| ( finite_finite_nat @ SV356 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1729]) ).
thf(1808,plain,
! [SV357: allegorical_term_b,SV293: allegorical_term_b] :
( ( ! [SY636: allegorical_term_b,SY637: allegorical_term_b] :
( ( ( allegorical_A_Int_b @ SV293 @ SV357 )
= ( allegorical_A_Int_b @ SY636 @ SY637 ) )
= ( ~ ( ( SV293 != SY636 )
| ( SV357 != SY637 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1730]) ).
thf(1809,plain,
! [SV294: produc1235635379_b_nat] :
( ( ! [SY573: labeled_graph_b_nat,SY574: labeled_graph_b_nat] :
( SV294
!= ( produc951298923_b_nat @ SY573 @ SY574 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1731]) ).
thf(1810,plain,
! [SV205: labeled_graph_b_nat] :
( ( ( ~ ( ( graph_529870330at_nat @ SV205 @ SV205 @ ( id_on_nat @ ( labele460410879_b_nat @ SV205 ) ) )
| ( SV205
= ( restrict_b_nat @ SV205 ) ) ) )
= $true )
| ( ( ~ ( ~ ( graph_529870330at_nat @ SV205 @ SV205 @ ( id_on_nat @ ( labele460410879_b_nat @ SV205 ) ) )
| ( SV205
!= ( restrict_b_nat @ SV205 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1732]) ).
thf(1811,plain,
! [SV206: labeled_graph_b_nat] :
( ( ( ~ ( ( graph_529870330at_nat @ SV206 @ ( restrict_b_nat @ SV206 ) @ ( id_on_nat @ ( labele460410879_b_nat @ SV206 ) ) )
| ( SV206
= ( restrict_b_nat @ SV206 ) ) ) )
= $true )
| ( ( ~ ( ~ ( graph_529870330at_nat @ SV206 @ ( restrict_b_nat @ SV206 ) @ ( id_on_nat @ ( labele460410879_b_nat @ SV206 ) ) )
| ( SV206
!= ( restrict_b_nat @ SV206 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1734]) ).
thf(1812,plain,
! [SV358: set_Pr551076371_b_nat,SV302: labeled_graph_b_nat,SV230: labeled_graph_b_nat] :
( ( ! [SY638: labeled_graph_b_nat] :
( ~ ( member963855452_b_nat @ ( produc951298923_b_nat @ SV230 @ SV302 ) @ SV358 )
| ( SY638 != SV302 )
| ( member963855452_b_nat @ ( produc951298923_b_nat @ SV230 @ SY638 ) @ SV358 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1743]) ).
thf(1813,plain,
! [SV359: labeled_graph_b_nat,SV303: labeled_graph_b_nat,SV231: labeled_graph_b_nat] :
( ( ! [SY639: labeled_graph_b_nat] :
( ( ( produc951298923_b_nat @ SV231 @ SV303 )
= ( produc951298923_b_nat @ SV359 @ SY639 ) )
= ( ~ ( ( SV231 != SV359 )
| ( SV303 != SY639 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1744]) ).
thf(1814,plain,
! [SV232: produc1478835367term_b] :
( ( ! [SY640: allegorical_term_b] :
( SV232
!= ( produc1990145943term_b @ ( sK29_SY456 @ SV232 ) @ SY640 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[1745]) ).
thf(1815,plain,
! [SV360: allegorical_term_b,SV304: allegorical_term_b,SV233: allegorical_term_b > allegorical_term_b > $o] :
( ( ~ ( SV233 @ SV304 @ SV360 )
| ( SV233 @ ( produc1223098053term_b @ ( produc1990145943term_b @ SV360 @ SV304 ) ) @ ( produc854192515term_b @ ( produc1990145943term_b @ SV360 @ SV304 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1746]) ).
thf(1816,plain,
! [SV305: produc1478835367term_b,SV234: produc1478835367term_b] :
( ( ( ~ ~ ( ( ( produc854192515term_b @ SV234 )
!= ( produc854192515term_b @ SV305 ) )
| ( ( produc1223098053term_b @ SV234 )
!= ( produc1223098053term_b @ SV305 ) ) ) )
= $true )
| ( ( SV234 = SV305 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1747]) ).
thf(1817,plain,
! [SV361: labeled_graph_b_nat,SV306: labeled_graph_b_nat,SV235: labeled_graph_b_nat] :
( ( ( ( produc1542243159_b_nat @ ( produc951298923_b_nat @ SV235 @ SV306 ) )
!= SV361 )
| ( SV235 = SV361 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1748]) ).
thf(1818,plain,
! [SV307: produc1235635379_b_nat] :
( ( ! [SV362: produc1235635379_b_nat] :
( ( SV307 = SV362 )
= ( ~ ( ( ( produc1542243159_b_nat @ SV307 )
!= ( produc1542243159_b_nat @ SV362 ) )
| ( ( produc194497945_b_nat @ SV307 )
!= ( produc194497945_b_nat @ SV362 ) ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1749]) ).
thf(1819,plain,
! [SV307: produc1235635379_b_nat] :
( ( ( ^ [SY581: produc1235635379_b_nat] : ( SV307 = SY581 ) )
= ( ^ [SY582: produc1235635379_b_nat] :
~ ( ( ( produc1542243159_b_nat @ SV307 )
!= ( produc1542243159_b_nat @ SY582 ) )
| ( ( produc194497945_b_nat @ SV307 )
!= ( produc194497945_b_nat @ SY582 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1749]) ).
thf(1820,plain,
! [SV363: labeled_graph_b_nat,SV308: labeled_graph_b_nat,SV237: produc1235635379_b_nat] :
( ( ( SV237
!= ( produc951298923_b_nat @ SV308 @ SV363 ) )
| ( ( produc194497945_b_nat @ SV237 )
= SV363 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1750]) ).
thf(1821,plain,
! [SV309: set_nat,SV238: set_nat] :
( ( ( ~ ( ord_less_eq_set_nat @ SV238 @ SV309 ) )
= $true )
| ( ( ~ ~ ( finite_finite_nat @ SV238 )
| ~ ( finite_finite_nat @ SV309 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1751]) ).
thf(1822,plain,
! [SV310: set_nat,SV239: set_nat] :
( ( ( ~ ( ord_less_eq_set_nat @ SV239 @ SV310 ) )
= $true )
| ( ( ~ ( finite_finite_nat @ SV310 )
| ( finite_finite_nat @ SV239 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1752]) ).
thf(1823,plain,
! [SV364: labeled_graph_b_nat,SV311: labeled_graph_b_nat,SV240: labeled_graph_b_nat] :
( ( ! [SY641: set_Pr1986765409at_nat] :
( ~ ( graph_529870330at_nat @ SV240 @ SV311 @ ( id_on_nat @ ( labele460410879_b_nat @ SV240 ) ) )
| ~ ( graph_529870330at_nat @ SV364 @ SV240 @ SY641 )
| ( graph_529870330at_nat @ SV364 @ SV311 @ SY641 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1753]) ).
thf(1824,plain,
! [SV312: labeled_graph_b_nat,SV241: labeled_graph_b_nat] :
( ( ( ~ ~ ( ( ( labeled_edges_b_nat @ SV241 )
!= ( labeled_edges_b_nat @ SV312 ) )
| ( ( labele460410879_b_nat @ SV241 )
!= ( labele460410879_b_nat @ SV312 ) ) ) )
= $true )
| ( ( SV241 = SV312 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1754]) ).
thf(1825,plain,
! [SV365: labeled_graph_b_nat,SV313: labeled_graph_b_nat,SV242: labeled_graph_b_nat > labeled_graph_b_nat > $o] :
( ( ~ ( SV242 @ SV313 @ SV365 )
| ( SV242 @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ SV365 @ SV313 ) ) @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ SV365 @ SV313 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1755]) ).
thf(1826,plain,
! [SV243: produc1235635379_b_nat] :
( ( ~ ~ ! [SY642: labeled_graph_b_nat] :
( SV243
!= ( produc951298923_b_nat @ ( sK30_SY475 @ SV243 ) @ SY642 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[1756]) ).
thf(1827,plain,
! [SV244: set_nat] :
( ( ( ~ ( finite_finite_nat @ SV244 ) )
= $false )
| ( ( SV244 != bot_bot_set_nat )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1757]) ).
thf(1828,plain,
! [SV314: produc1235635379_b_nat,SV245: produc1235635379_b_nat] :
( ( ( ~ ~ ( ( ( produc1542243159_b_nat @ SV245 )
!= ( produc1542243159_b_nat @ SV314 ) )
| ( ( produc194497945_b_nat @ SV245 )
!= ( produc194497945_b_nat @ SV314 ) ) ) )
= $true )
| ( ( SV245 = SV314 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1758]) ).
thf(1829,plain,
! [SV315: produc1478835367term_b,SV246: produc1478835367term_b] :
( ( ( ( produc854192515term_b @ SV246 )
!= ( produc854192515term_b @ SV315 ) )
= $true )
| ( ( ( ( produc1223098053term_b @ SV246 )
!= ( produc1223098053term_b @ SV315 ) )
| ( SV246 = SV315 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1759]) ).
thf(1830,plain,
! [SV366: labeled_graph_b_nat,SV316: labeled_graph_b_nat,SV247: labeled_graph_b_nat] :
( ( ! [SY643: labeled_graph_b_nat] :
( ( ( produc951298923_b_nat @ SV247 @ SV316 )
!= ( produc951298923_b_nat @ SV366 @ SY643 ) )
| ~ ( ( SV247 != SV366 )
| ( SV316 != SY643 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1760]) ).
thf(1831,plain,
! [SV367: allegorical_term_b,SV317: allegorical_term_b,SV248: allegorical_term_b > allegorical_term_b > $o] :
( ( ! [SY644: produc1478835367term_b] :
( ~ ( SV248 @ SV317 @ SV367 )
| ( SY644
!= ( produc1990145943term_b @ SV317 @ SV367 ) )
| ( SV248 @ ( produc854192515term_b @ SY644 ) @ ( produc1223098053term_b @ SY644 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1761]) ).
thf(1832,plain,
! [SV318: produc1235635379_b_nat,SV249: labeled_graph_b_nat > labeled_graph_b_nat > $o] :
( ( ( ~ ( SV249 @ ( produc194497945_b_nat @ SV318 ) @ ( produc1542243159_b_nat @ SV318 ) ) )
= $true )
| ( ( ~ ! [SY486: labeled_graph_b_nat,SY487: labeled_graph_b_nat] :
~ ( SV249 @ SY487 @ SY486 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1762]) ).
thf(1833,plain,
! [SV319: labeled_graph_b_nat,SV250: labeled_graph_b_nat] :
( ( ~ ( ( graph_529870330at_nat @ SV250 @ SV319 @ ( id_on_nat @ ( labele460410879_b_nat @ SV250 ) ) )
| ~ ( ~ ~ ( ( SV250
!= ( restrict_b_nat @ SV250 ) )
| ( SV319
!= ( restrict_b_nat @ SV319 ) ) )
| ( ( graph_union_b_nat @ SV250 @ SV319 )
!= SV319 ) ) )
| ~ ( ~ ( graph_529870330at_nat @ SV250 @ SV319 @ ( id_on_nat @ ( labele460410879_b_nat @ SV250 ) ) )
| ~ ~ ( ~ ~ ( ( SV250
!= ( restrict_b_nat @ SV250 ) )
| ( SV319
!= ( restrict_b_nat @ SV319 ) ) )
| ( ( graph_union_b_nat @ SV250 @ SV319 )
!= SV319 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1763]) ).
thf(1834,plain,
! [SV319: labeled_graph_b_nat,SV250: labeled_graph_b_nat] :
( ( ( graph_529870330at_nat @ SV250 @ SV319 @ ( id_on_nat @ ( labele460410879_b_nat @ SV250 ) ) )
= ( ~ ( ~ ~ ( ( SV250
!= ( restrict_b_nat @ SV250 ) )
| ( SV319
!= ( restrict_b_nat @ SV319 ) ) )
| ( ( graph_union_b_nat @ SV250 @ SV319 )
!= SV319 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1763]) ).
thf(1835,plain,
! [SV251: produc1478835367term_b] :
( ( ~ ~ ! [SY645: allegorical_term_b] :
( SV251
!= ( produc1990145943term_b @ ( sK31_SY489 @ SV251 ) @ SY645 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[1764]) ).
thf(1836,plain,
! [SV252: set_Pr9961929at_nat] :
( ( ( ~ ( finite1987068434at_nat @ SV252 ) )
= $false )
| ( ( SV252 != bot_bo1626616373at_nat )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1765]) ).
thf(1837,plain,
! [SV320: produc1478835367term_b,SV253: produc1478835367term_b > $o] :
( ( ( ~ ! [SY492: allegorical_term_b,SY493: allegorical_term_b] : ( SV253 @ ( produc1990145943term_b @ SY492 @ SY493 ) ) )
= $true )
| ( ( SV253 @ SV320 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1766]) ).
thf(1838,plain,
! [SV321: produc1478835367term_b,SV254: allegorical_term_b] :
( ( ~ ( ( SV254
= ( produc854192515term_b @ SV321 ) )
| ~ ! [SY595: allegorical_term_b] :
( SV321
!= ( produc1990145943term_b @ SV254 @ SY595 ) ) )
| ~ ( ( SV254
!= ( produc854192515term_b @ SV321 ) )
| ~ ~ ! [SY595: allegorical_term_b] :
( SV321
!= ( produc1990145943term_b @ SV254 @ SY595 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1767]) ).
thf(1839,plain,
! [SV321: produc1478835367term_b,SV254: allegorical_term_b] :
( ( ( SV254
= ( produc854192515term_b @ SV321 ) )
= ( ~ ! [SY595: allegorical_term_b] :
( SV321
!= ( produc1990145943term_b @ SV254 @ SY595 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1767]) ).
thf(1840,plain,
! [SV368: set_Pr1986765409at_nat,SV322: labeled_graph_b_nat,SV255: labeled_graph_b_nat] :
( ( ! [SY646: labeled_graph_b_nat,SY647: set_Pr1986765409at_nat] :
( ~ ( graph_529870330at_nat @ SV255 @ SV322 @ SV368 )
| ~ ( graph_529870330at_nat @ SV322 @ SY646 @ SY647 )
| ( graph_529870330at_nat @ SV255 @ SY646 @ ( relcomp_nat_nat_nat @ SV368 @ SY647 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1768]) ).
thf(1841,plain,
! [SV323: produc1478835367term_b,SV256: allegorical_term_b] :
( ( ~ ( ( SV256
= ( produc1223098053term_b @ SV323 ) )
| ~ ! [SY599: allegorical_term_b] :
( SV323
!= ( produc1990145943term_b @ SY599 @ SV256 ) ) )
| ~ ( ( SV256
!= ( produc1223098053term_b @ SV323 ) )
| ~ ~ ! [SY599: allegorical_term_b] :
( SV323
!= ( produc1990145943term_b @ SY599 @ SV256 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1769]) ).
thf(1842,plain,
! [SV323: produc1478835367term_b,SV256: allegorical_term_b] :
( ( ( SV256
= ( produc1223098053term_b @ SV323 ) )
= ( ~ ! [SY599: allegorical_term_b] :
( SV323
!= ( produc1990145943term_b @ SY599 @ SV256 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1769]) ).
thf(1843,plain,
! [SV324: labeled_graph_b_nat,SV257: labeled_graph_b_nat] :
( ( ( SV257
!= ( restrict_b_nat @ SV257 ) )
= $true )
| ( ( ( SV324
!= ( restrict_b_nat @ SV324 ) )
| ( ( graph_union_b_nat @ SV257 @ SV324 )
= ( restrict_b_nat @ ( graph_union_b_nat @ SV257 @ SV324 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1770]) ).
thf(1844,plain,
! [SV369: set_Pr1986765409at_nat,SV325: labeled_graph_b_nat,SV258: labeled_graph_b_nat] :
( ( ~ ( graph_529870330at_nat @ SV258 @ SV325 @ SV369 )
| ( extensible_b_nat_nat @ ( produc951298923_b_nat @ SV258 @ SV258 ) @ SV325 @ SV369 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1771]) ).
thf(1845,plain,
! [SV326: produc1478835367term_b] :
( ( ! [SV370: produc1478835367term_b] :
( ( SV326 = SV370 )
= ( ~ ( ( ( produc854192515term_b @ SV326 )
!= ( produc854192515term_b @ SV370 ) )
| ( ( produc1223098053term_b @ SV326 )
!= ( produc1223098053term_b @ SV370 ) ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1772]) ).
thf(1846,plain,
! [SV326: produc1478835367term_b] :
( ( ( ^ [SY601: produc1478835367term_b] : ( SV326 = SY601 ) )
= ( ^ [SY602: produc1478835367term_b] :
~ ( ( ( produc854192515term_b @ SV326 )
!= ( produc854192515term_b @ SY602 ) )
| ( ( produc1223098053term_b @ SV326 )
!= ( produc1223098053term_b @ SY602 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1772]) ).
thf(1847,plain,
( ( ~ ( ~ ~ ( ~ ( graph_529870330at_nat @ ( produc1542243159_b_nat @ standa879863266rule_b ) @ ( produc194497945_b_nat @ standa879863266rule_b ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ standa879863266rule_b ) ) ) )
| ( ( produc194497945_b_nat @ standa879863266rule_b )
!= ( restrict_b_nat @ ( produc194497945_b_nat @ standa879863266rule_b ) ) ) )
| ~ ( finite_finite_nat @ ( labele460410879_b_nat @ ( produc194497945_b_nat @ standa879863266rule_b ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1773]) ).
thf(1848,plain,
( ( finite1987068434at_nat @ ( labeled_edges_b_nat @ ( produc194497945_b_nat @ standa879863266rule_b ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1774]) ).
thf(1849,plain,
! [SV371: labeled_graph_b_nat,SV327: labeled_graph_b_nat,SV260: labeled_graph_b_nat] :
( ( ( ( produc194497945_b_nat @ ( produc951298923_b_nat @ SV260 @ SV327 ) )
!= SV371 )
| ( SV327 = SV371 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1775]) ).
thf(1850,plain,
! [SV328: produc1235635379_b_nat,SV261: produc1235635379_b_nat] :
( ( ( ( produc1542243159_b_nat @ SV261 )
!= ( produc1542243159_b_nat @ SV328 ) )
= $true )
| ( ( ( ( produc194497945_b_nat @ SV261 )
!= ( produc194497945_b_nat @ SV328 ) )
| ( SV261 = SV328 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1776]) ).
thf(1851,plain,
! [SV372: labeled_graph_b_nat,SV329: labeled_graph_b_nat,SV262: produc1235635379_b_nat] :
( ( ( SV262
!= ( produc951298923_b_nat @ SV329 @ SV372 ) )
| ( ( produc1542243159_b_nat @ SV262 )
= SV329 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1777]) ).
thf(1852,plain,
! [SV330: nat,SV263: nat > labeled_graph_b_nat] :
( ( ( ~ ( chain_b_nat @ SV263 ) )
= $true )
| ( ( ( SV263 @ SV330 )
= ( restrict_b_nat @ ( SV263 @ SV330 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1778]) ).
thf(1853,plain,
! [SV331: set_Pr9961929at_nat,SV264: set_Pr9961929at_nat] :
( ( ( ~ ( ord_le910748009at_nat @ SV264 @ SV331 ) )
= $true )
| ( ( ~ ~ ( finite1987068434at_nat @ SV264 )
| ~ ( finite1987068434at_nat @ SV331 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1779]) ).
thf(1854,plain,
! [SV373: allegorical_term_b,SV332: allegorical_term_b,SV265: allegorical_term_b] :
( ( ( ( produc1223098053term_b @ ( produc1990145943term_b @ SV265 @ SV332 ) )
!= SV373 )
| ( SV332 = SV373 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1780]) ).
thf(1855,plain,
! [SV374: allegorical_term_b > $o,SV333: allegorical_term_b,SV266: allegorical_term_b > $o] :
( ( ! [SY648: allegorical_term_b] :
( ~ ( SV266 @ SV333 )
| ~ ( SV374 @ SY648 )
| ~ ( ~ ( SV266 @ ( produc854192515term_b @ ( produc1990145943term_b @ SV333 @ SY648 ) ) )
| ~ ( SV374 @ ( produc1223098053term_b @ ( produc1990145943term_b @ SV333 @ SY648 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1781]) ).
thf(1856,plain,
! [SV375: allegorical_term_b,SV334: allegorical_term_b,SV267: produc1478835367term_b] :
( ( ( SV267
!= ( produc1990145943term_b @ SV334 @ SV375 ) )
| ( ( produc854192515term_b @ SV267 )
= SV334 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1782]) ).
thf(1857,plain,
! [SV376: allegorical_term_b,SV335: allegorical_term_b,SV268: produc1478835367term_b] :
( ( ( SV268
!= ( produc1990145943term_b @ SV335 @ SV376 ) )
| ( ( produc1223098053term_b @ SV268 )
= SV376 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1783]) ).
thf(1858,plain,
! [SV377: labeled_graph_b_nat,SV336: labeled_graph_b_nat,SV269: labeled_graph_b_nat] :
( ( ~ ( graph_529870330at_nat @ SV269 @ SV336 @ ( id_on_nat @ ( labele460410879_b_nat @ SV269 ) ) )
| ~ ( graph_529870330at_nat @ SV336 @ SV377 @ ( id_on_nat @ ( labele460410879_b_nat @ SV336 ) ) )
| ( graph_529870330at_nat @ SV269 @ SV377 @ ( id_on_nat @ ( labele460410879_b_nat @ SV269 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1784]) ).
thf(1859,plain,
! [SV337: produc1235635379_b_nat,SV270: produc1235635379_b_nat > $o] :
( ( ( ~ ! [SY526: labeled_graph_b_nat,SY527: labeled_graph_b_nat] : ( SV270 @ ( produc951298923_b_nat @ SY526 @ SY527 ) ) )
= $true )
| ( ( SV270 @ SV337 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1785]) ).
thf(1860,plain,
! [SV378: labeled_graph_b_nat > $o,SV338: labeled_graph_b_nat,SV271: labeled_graph_b_nat > $o] :
( ( ! [SY649: labeled_graph_b_nat] :
( ~ ( SV271 @ SV338 )
| ~ ( SV378 @ SY649 )
| ~ ( ~ ( SV271 @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ SV338 @ SY649 ) ) )
| ~ ( SV378 @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ SV338 @ SY649 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1786]) ).
thf(1861,plain,
! [SV379: allegorical_term_b,SV339: allegorical_term_b,SV272: allegorical_term_b] :
( ( ! [SY650: allegorical_term_b] :
( ( ( produc1990145943term_b @ SV272 @ SV339 )
= ( produc1990145943term_b @ SV379 @ SY650 ) )
= ( ~ ( ( SV272 != SV379 )
| ( SV339 != SY650 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1787]) ).
thf(1862,plain,
! [SV340: labeled_graph_b_nat,SV273: labeled_graph_b_nat] :
( ( ( ~ ( graph_529870330at_nat @ SV273 @ SV340 @ ( id_on_nat @ ( labele460410879_b_nat @ SV273 ) ) ) )
= $true )
| ( ( ord_le910748009at_nat @ ( labeled_edges_b_nat @ ( restrict_b_nat @ SV273 ) ) @ ( labeled_edges_b_nat @ SV340 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1788]) ).
thf(1863,plain,
! [SV341: produc1235635379_b_nat,SV274: produc1235635379_b_nat > $o] :
( ( ( ~ ! [SY536: labeled_graph_b_nat,SY537: labeled_graph_b_nat] : ( SV274 @ ( produc951298923_b_nat @ SY536 @ SY537 ) ) )
= $true )
| ( ( SV274 @ SV341 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1789]) ).
thf(1864,plain,
! [SV380: allegorical_term_b,SV342: allegorical_term_b,SV275: allegorical_term_b] :
( ( ! [SY651: allegorical_term_b] :
( ( ( produc1990145943term_b @ SV275 @ SV342 )
!= ( produc1990145943term_b @ SV380 @ SY651 ) )
| ~ ( ( SV275 != SV380 )
| ( SV342 != SY651 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1790]) ).
thf(1865,plain,
! [SV343: set_Pr9961929at_nat,SV276: set_Pr9961929at_nat] :
( ( ( ~ ( ord_le910748009at_nat @ SV276 @ SV343 ) )
= $true )
| ( ( ~ ( finite1987068434at_nat @ SV343 )
| ( finite1987068434at_nat @ SV276 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1791]) ).
thf(1866,plain,
! [SV344: produc1235635379_b_nat,SV277: labeled_graph_b_nat] :
( ( ~ ( ( SV277
= ( produc194497945_b_nat @ SV344 ) )
| ~ ! [SY621: labeled_graph_b_nat] :
( SV344
!= ( produc951298923_b_nat @ SY621 @ SV277 ) ) )
| ~ ( ( SV277
!= ( produc194497945_b_nat @ SV344 ) )
| ~ ~ ! [SY621: labeled_graph_b_nat] :
( SV344
!= ( produc951298923_b_nat @ SY621 @ SV277 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1792]) ).
thf(1867,plain,
! [SV344: produc1235635379_b_nat,SV277: labeled_graph_b_nat] :
( ( ( SV277
= ( produc194497945_b_nat @ SV344 ) )
= ( ~ ! [SY621: labeled_graph_b_nat] :
( SV344
!= ( produc951298923_b_nat @ SY621 @ SV277 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1792]) ).
thf(1868,plain,
! [SV381: labeled_graph_b_nat,SV345: labeled_graph_b_nat,SV278: labeled_graph_b_nat > labeled_graph_b_nat > $o] :
( ( ! [SY652: produc1235635379_b_nat] :
( ~ ( SV278 @ SV345 @ SV381 )
| ( SY652
!= ( produc951298923_b_nat @ SV345 @ SV381 ) )
| ( SV278 @ ( produc1542243159_b_nat @ SY652 ) @ ( produc194497945_b_nat @ SY652 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1793]) ).
thf(1869,plain,
! [SV279: labeled_graph_b_nat] :
( ( ( ord_le910748009at_nat @ ( labeled_edges_b_nat @ SV279 ) @ ( labeled_edges_b_nat @ ( restrict_b_nat @ SV279 ) ) )
= $false )
| ( ( SV279
= ( restrict_b_nat @ SV279 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1794]) ).
thf(1870,plain,
! [SV346: produc1478835367term_b,SV280: allegorical_term_b > allegorical_term_b > $o] :
( ( ( ~ ( SV280 @ ( produc1223098053term_b @ SV346 ) @ ( produc854192515term_b @ SV346 ) ) )
= $true )
| ( ( ~ ! [SY548: allegorical_term_b,SY549: allegorical_term_b] :
~ ( SV280 @ SY549 @ SY548 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1795]) ).
thf(1871,plain,
! [SV382: allegorical_term_b,SV347: allegorical_term_b,SV281: allegorical_term_b] :
( ( ! [SY653: allegorical_term_b] :
( ( ( produc1990145943term_b @ SV281 @ SV347 )
= ( produc1990145943term_b @ SV382 @ SY653 ) )
= ( ~ ( ( SV281 != SV382 )
| ( SV347 != SY653 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1796]) ).
thf(1872,plain,
! [SV383: allegorical_term_b,SV348: allegorical_term_b,SV282: allegorical_term_b] :
( ( ( ( produc854192515term_b @ ( produc1990145943term_b @ SV282 @ SV348 ) )
!= SV383 )
| ( SV282 = SV383 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1797]) ).
thf(1873,plain,
! [SV384: set_Pr1163220871term_b,SV349: allegorical_term_b,SV283: allegorical_term_b] :
( ( ! [SY654: allegorical_term_b] :
( ~ ( member516522448term_b @ ( produc1990145943term_b @ SV283 @ SV349 ) @ SV384 )
| ( SY654 != SV349 )
| ( member516522448term_b @ ( produc1990145943term_b @ SV283 @ SY654 ) @ SV384 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1798]) ).
thf(1874,plain,
! [SV350: labeled_graph_b_nat,SV284: labeled_graph_b_nat] :
( ( ( ~ ( graph_529870330at_nat @ SV284 @ SV350 @ ( id_on_nat @ ( labele460410879_b_nat @ SV284 ) ) ) )
= $true )
| ( ( ord_less_eq_set_nat @ ( labele460410879_b_nat @ SV284 ) @ ( labele460410879_b_nat @ SV350 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1799]) ).
thf(1875,plain,
! [SV351: set_Pr9961929at_nat,SV285: set_Pr9961929at_nat] :
( ( ( ~ ( finite1987068434at_nat @ SV285 ) )
= $true )
| ( ( ~ ( ord_le910748009at_nat @ SV351 @ SV285 )
| ( finite1987068434at_nat @ SV351 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1800]) ).
thf(1876,plain,
! [SV352: allegorical_term_b,SV286: allegorical_term_b] :
( ( ~ ~ ( ~ ~ ( ~ ( graph_529870330at_nat @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV286 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV286 @ SV352 ) ) ) ) @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV286 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV286 @ SV352 ) ) ) ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV286 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV286 @ SV352 ) ) ) ) ) ) )
| ( ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV286 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV286 @ SV352 ) ) ) )
!= ( restrict_b_nat @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV286 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV286 @ SV352 ) ) ) ) ) ) )
| ~ ( finite_finite_nat @ ( labele460410879_b_nat @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV286 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV286 @ SV352 ) ) ) ) ) ) )
| ~ ( finite1987068434at_nat @ ( labeled_edges_b_nat @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV286 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV286 @ SV352 ) ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1801]) ).
thf(1877,plain,
! [SV287: b] :
( ( ~ ~ ( ~ ~ ( ~ ( graph_529870330at_nat @ ( produc1542243159_b_nat @ ( standa1329480013rule_b @ SV287 ) ) @ ( produc194497945_b_nat @ ( standa1329480013rule_b @ SV287 ) ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ ( standa1329480013rule_b @ SV287 ) ) ) ) )
| ( ( produc194497945_b_nat @ ( standa1329480013rule_b @ SV287 ) )
!= ( restrict_b_nat @ ( produc194497945_b_nat @ ( standa1329480013rule_b @ SV287 ) ) ) ) )
| ~ ( finite_finite_nat @ ( labele460410879_b_nat @ ( produc194497945_b_nat @ ( standa1329480013rule_b @ SV287 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1802]) ).
thf(1878,plain,
! [SV287: b] :
( ( ~ ( finite1987068434at_nat @ ( labeled_edges_b_nat @ ( produc194497945_b_nat @ ( standa1329480013rule_b @ SV287 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1802]) ).
thf(1879,plain,
! [SV385: labeled_graph_b_nat,SV353: labeled_graph_b_nat,SV288: labeled_graph_b_nat] :
( ( ! [SY655: labeled_graph_b_nat] :
( ( ( produc951298923_b_nat @ SV288 @ SV353 )
= ( produc951298923_b_nat @ SV385 @ SY655 ) )
= ( ~ ( ( SV288 != SV385 )
| ( SV353 != SY655 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1803]) ).
thf(1880,plain,
! [SV354: produc1478835367term_b,SV289: produc1478835367term_b > $o] :
( ( ( ~ ! [SY565: allegorical_term_b,SY566: allegorical_term_b] : ( SV289 @ ( produc1990145943term_b @ SY565 @ SY566 ) ) )
= $true )
| ( ( SV289 @ SV354 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1804]) ).
thf(1881,plain,
! [SV355: produc1235635379_b_nat,SV290: labeled_graph_b_nat] :
( ( ~ ( ( SV290
= ( produc1542243159_b_nat @ SV355 ) )
| ~ ! [SY635: labeled_graph_b_nat] :
( SV355
!= ( produc951298923_b_nat @ SV290 @ SY635 ) ) )
| ~ ( ( SV290
!= ( produc1542243159_b_nat @ SV355 ) )
| ~ ~ ! [SY635: labeled_graph_b_nat] :
( SV355
!= ( produc951298923_b_nat @ SV290 @ SY635 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1805]) ).
thf(1882,plain,
! [SV355: produc1235635379_b_nat,SV290: labeled_graph_b_nat] :
( ( ( SV290
= ( produc1542243159_b_nat @ SV355 ) )
= ( ~ ! [SY635: labeled_graph_b_nat] :
( SV355
!= ( produc951298923_b_nat @ SV290 @ SY635 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1805]) ).
thf(1883,plain,
! [SV291: b] :
( ( ~ ~ ( ~ ~ ( ~ ( graph_529870330at_nat @ ( produc1542243159_b_nat @ ( standa1360217389rule_b @ SV291 ) ) @ ( produc194497945_b_nat @ ( standa1360217389rule_b @ SV291 ) ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ ( standa1360217389rule_b @ SV291 ) ) ) ) )
| ( ( produc194497945_b_nat @ ( standa1360217389rule_b @ SV291 ) )
!= ( restrict_b_nat @ ( produc194497945_b_nat @ ( standa1360217389rule_b @ SV291 ) ) ) ) )
| ~ ( finite_finite_nat @ ( labele460410879_b_nat @ ( produc194497945_b_nat @ ( standa1360217389rule_b @ SV291 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1806]) ).
thf(1884,plain,
! [SV291: b] :
( ( ~ ( finite1987068434at_nat @ ( labeled_edges_b_nat @ ( produc194497945_b_nat @ ( standa1360217389rule_b @ SV291 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1806]) ).
thf(1885,plain,
! [SV356: set_nat,SV292: set_nat] :
( ( ( ~ ( finite_finite_nat @ SV292 ) )
= $true )
| ( ( ~ ( ord_less_eq_set_nat @ SV356 @ SV292 )
| ( finite_finite_nat @ SV356 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1807]) ).
thf(1886,plain,
! [SV386: allegorical_term_b,SV357: allegorical_term_b,SV293: allegorical_term_b] :
( ( ! [SY656: allegorical_term_b] :
( ( ( allegorical_A_Int_b @ SV293 @ SV357 )
= ( allegorical_A_Int_b @ SV386 @ SY656 ) )
= ( ~ ( ( SV293 != SV386 )
| ( SV357 != SY656 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1808]) ).
thf(1887,plain,
! [SV294: produc1235635379_b_nat] :
( ( ! [SY657: labeled_graph_b_nat] :
( SV294
!= ( produc951298923_b_nat @ ( sK32_SY573 @ SV294 ) @ SY657 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[1809]) ).
thf(1888,plain,
! [SV205: labeled_graph_b_nat] :
( ( ( ( graph_529870330at_nat @ SV205 @ SV205 @ ( id_on_nat @ ( labele460410879_b_nat @ SV205 ) ) )
| ( SV205
= ( restrict_b_nat @ SV205 ) ) )
= $false )
| ( ( ~ ( ~ ( graph_529870330at_nat @ SV205 @ SV205 @ ( id_on_nat @ ( labele460410879_b_nat @ SV205 ) ) )
| ( SV205
!= ( restrict_b_nat @ SV205 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1810]) ).
thf(1889,plain,
! [SV206: labeled_graph_b_nat] :
( ( ( ( graph_529870330at_nat @ SV206 @ ( restrict_b_nat @ SV206 ) @ ( id_on_nat @ ( labele460410879_b_nat @ SV206 ) ) )
| ( SV206
= ( restrict_b_nat @ SV206 ) ) )
= $false )
| ( ( ~ ( ~ ( graph_529870330at_nat @ SV206 @ ( restrict_b_nat @ SV206 ) @ ( id_on_nat @ ( labele460410879_b_nat @ SV206 ) ) )
| ( SV206
!= ( restrict_b_nat @ SV206 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1811]) ).
thf(1890,plain,
! [SV387: labeled_graph_b_nat,SV358: set_Pr551076371_b_nat,SV302: labeled_graph_b_nat,SV230: labeled_graph_b_nat] :
( ( ~ ( member963855452_b_nat @ ( produc951298923_b_nat @ SV230 @ SV302 ) @ SV358 )
| ( SV387 != SV302 )
| ( member963855452_b_nat @ ( produc951298923_b_nat @ SV230 @ SV387 ) @ SV358 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1812]) ).
thf(1891,plain,
! [SV388: labeled_graph_b_nat,SV359: labeled_graph_b_nat,SV303: labeled_graph_b_nat,SV231: labeled_graph_b_nat] :
( ( ( ( produc951298923_b_nat @ SV231 @ SV303 )
= ( produc951298923_b_nat @ SV359 @ SV388 ) )
= ( ~ ( ( SV231 != SV359 )
| ( SV303 != SV388 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1813]) ).
thf(1892,plain,
! [SV232: produc1478835367term_b] :
( ( SV232
!= ( produc1990145943term_b @ ( sK29_SY456 @ SV232 ) @ ( sK33_SY640 @ SV232 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[1814]) ).
thf(1893,plain,
! [SV360: allegorical_term_b,SV304: allegorical_term_b,SV233: allegorical_term_b > allegorical_term_b > $o] :
( ( ( ~ ( SV233 @ SV304 @ SV360 ) )
= $true )
| ( ( SV233 @ ( produc1223098053term_b @ ( produc1990145943term_b @ SV360 @ SV304 ) ) @ ( produc854192515term_b @ ( produc1990145943term_b @ SV360 @ SV304 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1815]) ).
thf(1894,plain,
! [SV305: produc1478835367term_b,SV234: produc1478835367term_b] :
( ( ( ~ ( ( ( produc854192515term_b @ SV234 )
!= ( produc854192515term_b @ SV305 ) )
| ( ( produc1223098053term_b @ SV234 )
!= ( produc1223098053term_b @ SV305 ) ) ) )
= $false )
| ( ( SV234 = SV305 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1816]) ).
thf(1895,plain,
! [SV361: labeled_graph_b_nat,SV306: labeled_graph_b_nat,SV235: labeled_graph_b_nat] :
( ( ( ( produc1542243159_b_nat @ ( produc951298923_b_nat @ SV235 @ SV306 ) )
!= SV361 )
= $true )
| ( ( SV235 = SV361 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1817]) ).
thf(1896,plain,
! [SV389: produc1235635379_b_nat,SV307: produc1235635379_b_nat] :
( ( ( SV307 = SV389 )
= ( ~ ( ( ( produc1542243159_b_nat @ SV307 )
!= ( produc1542243159_b_nat @ SV389 ) )
| ( ( produc194497945_b_nat @ SV307 )
!= ( produc194497945_b_nat @ SV389 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1818]) ).
thf(1897,plain,
! [SV363: labeled_graph_b_nat,SV308: labeled_graph_b_nat,SV237: produc1235635379_b_nat] :
( ( ( SV237
!= ( produc951298923_b_nat @ SV308 @ SV363 ) )
= $true )
| ( ( ( produc194497945_b_nat @ SV237 )
= SV363 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1820]) ).
thf(1898,plain,
! [SV309: set_nat,SV238: set_nat] :
( ( ( ord_less_eq_set_nat @ SV238 @ SV309 )
= $false )
| ( ( ~ ~ ( finite_finite_nat @ SV238 )
| ~ ( finite_finite_nat @ SV309 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1821]) ).
thf(1899,plain,
! [SV310: set_nat,SV239: set_nat] :
( ( ( ord_less_eq_set_nat @ SV239 @ SV310 )
= $false )
| ( ( ~ ( finite_finite_nat @ SV310 )
| ( finite_finite_nat @ SV239 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1822]) ).
thf(1900,plain,
! [SV390: set_Pr1986765409at_nat,SV364: labeled_graph_b_nat,SV311: labeled_graph_b_nat,SV240: labeled_graph_b_nat] :
( ( ~ ( graph_529870330at_nat @ SV240 @ SV311 @ ( id_on_nat @ ( labele460410879_b_nat @ SV240 ) ) )
| ~ ( graph_529870330at_nat @ SV364 @ SV240 @ SV390 )
| ( graph_529870330at_nat @ SV364 @ SV311 @ SV390 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1823]) ).
thf(1901,plain,
! [SV312: labeled_graph_b_nat,SV241: labeled_graph_b_nat] :
( ( ( ~ ( ( ( labeled_edges_b_nat @ SV241 )
!= ( labeled_edges_b_nat @ SV312 ) )
| ( ( labele460410879_b_nat @ SV241 )
!= ( labele460410879_b_nat @ SV312 ) ) ) )
= $false )
| ( ( SV241 = SV312 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1824]) ).
thf(1902,plain,
! [SV365: labeled_graph_b_nat,SV313: labeled_graph_b_nat,SV242: labeled_graph_b_nat > labeled_graph_b_nat > $o] :
( ( ( ~ ( SV242 @ SV313 @ SV365 ) )
= $true )
| ( ( SV242 @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ SV365 @ SV313 ) ) @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ SV365 @ SV313 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1825]) ).
thf(1903,plain,
! [SV243: produc1235635379_b_nat] :
( ( ~ ! [SY642: labeled_graph_b_nat] :
( SV243
!= ( produc951298923_b_nat @ ( sK30_SY475 @ SV243 ) @ SY642 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1826]) ).
thf(1904,plain,
! [SV244: set_nat] :
( ( ( finite_finite_nat @ SV244 )
= $true )
| ( ( SV244 != bot_bot_set_nat )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1827]) ).
thf(1905,plain,
! [SV314: produc1235635379_b_nat,SV245: produc1235635379_b_nat] :
( ( ( ~ ( ( ( produc1542243159_b_nat @ SV245 )
!= ( produc1542243159_b_nat @ SV314 ) )
| ( ( produc194497945_b_nat @ SV245 )
!= ( produc194497945_b_nat @ SV314 ) ) ) )
= $false )
| ( ( SV245 = SV314 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1828]) ).
thf(1906,plain,
! [SV315: produc1478835367term_b,SV246: produc1478835367term_b] :
( ( ( ( produc854192515term_b @ SV246 )
= ( produc854192515term_b @ SV315 ) )
= $false )
| ( ( ( ( produc1223098053term_b @ SV246 )
!= ( produc1223098053term_b @ SV315 ) )
| ( SV246 = SV315 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1829]) ).
thf(1907,plain,
! [SV391: labeled_graph_b_nat,SV366: labeled_graph_b_nat,SV316: labeled_graph_b_nat,SV247: labeled_graph_b_nat] :
( ( ( ( produc951298923_b_nat @ SV247 @ SV316 )
!= ( produc951298923_b_nat @ SV366 @ SV391 ) )
| ~ ( ( SV247 != SV366 )
| ( SV316 != SV391 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1830]) ).
thf(1908,plain,
! [SV392: produc1478835367term_b,SV367: allegorical_term_b,SV317: allegorical_term_b,SV248: allegorical_term_b > allegorical_term_b > $o] :
( ( ~ ( SV248 @ SV317 @ SV367 )
| ( SV392
!= ( produc1990145943term_b @ SV317 @ SV367 ) )
| ( SV248 @ ( produc854192515term_b @ SV392 ) @ ( produc1223098053term_b @ SV392 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1831]) ).
thf(1909,plain,
! [SV318: produc1235635379_b_nat,SV249: labeled_graph_b_nat > labeled_graph_b_nat > $o] :
( ( ( SV249 @ ( produc194497945_b_nat @ SV318 ) @ ( produc1542243159_b_nat @ SV318 ) )
= $false )
| ( ( ~ ! [SY486: labeled_graph_b_nat,SY487: labeled_graph_b_nat] :
~ ( SV249 @ SY487 @ SY486 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1832]) ).
thf(1910,plain,
! [SV319: labeled_graph_b_nat,SV250: labeled_graph_b_nat] :
( ( ( ~ ( ( graph_529870330at_nat @ SV250 @ SV319 @ ( id_on_nat @ ( labele460410879_b_nat @ SV250 ) ) )
| ~ ( ~ ~ ( ( SV250
!= ( restrict_b_nat @ SV250 ) )
| ( SV319
!= ( restrict_b_nat @ SV319 ) ) )
| ( ( graph_union_b_nat @ SV250 @ SV319 )
!= SV319 ) ) ) )
= $true )
| ( ( ~ ( ~ ( graph_529870330at_nat @ SV250 @ SV319 @ ( id_on_nat @ ( labele460410879_b_nat @ SV250 ) ) )
| ~ ~ ( ~ ~ ( ( SV250
!= ( restrict_b_nat @ SV250 ) )
| ( SV319
!= ( restrict_b_nat @ SV319 ) ) )
| ( ( graph_union_b_nat @ SV250 @ SV319 )
!= SV319 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1833]) ).
thf(1911,plain,
! [SV251: produc1478835367term_b] :
( ( ~ ! [SY645: allegorical_term_b] :
( SV251
!= ( produc1990145943term_b @ ( sK31_SY489 @ SV251 ) @ SY645 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1835]) ).
thf(1912,plain,
! [SV252: set_Pr9961929at_nat] :
( ( ( finite1987068434at_nat @ SV252 )
= $true )
| ( ( SV252 != bot_bo1626616373at_nat )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1836]) ).
thf(1913,plain,
! [SV320: produc1478835367term_b,SV253: produc1478835367term_b > $o] :
( ( ( ! [SY492: allegorical_term_b,SY493: allegorical_term_b] : ( SV253 @ ( produc1990145943term_b @ SY492 @ SY493 ) ) )
= $false )
| ( ( SV253 @ SV320 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1837]) ).
thf(1914,plain,
! [SV321: produc1478835367term_b,SV254: allegorical_term_b] :
( ( ( ~ ( ( SV254
= ( produc854192515term_b @ SV321 ) )
| ~ ! [SY595: allegorical_term_b] :
( SV321
!= ( produc1990145943term_b @ SV254 @ SY595 ) ) ) )
= $true )
| ( ( ~ ( ( SV254
!= ( produc854192515term_b @ SV321 ) )
| ~ ~ ! [SY595: allegorical_term_b] :
( SV321
!= ( produc1990145943term_b @ SV254 @ SY595 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1838]) ).
thf(1915,plain,
! [SV393: labeled_graph_b_nat,SV368: set_Pr1986765409at_nat,SV322: labeled_graph_b_nat,SV255: labeled_graph_b_nat] :
( ( ! [SY658: set_Pr1986765409at_nat] :
( ~ ( graph_529870330at_nat @ SV255 @ SV322 @ SV368 )
| ~ ( graph_529870330at_nat @ SV322 @ SV393 @ SY658 )
| ( graph_529870330at_nat @ SV255 @ SV393 @ ( relcomp_nat_nat_nat @ SV368 @ SY658 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1840]) ).
thf(1916,plain,
! [SV323: produc1478835367term_b,SV256: allegorical_term_b] :
( ( ( ~ ( ( SV256
= ( produc1223098053term_b @ SV323 ) )
| ~ ! [SY599: allegorical_term_b] :
( SV323
!= ( produc1990145943term_b @ SY599 @ SV256 ) ) ) )
= $true )
| ( ( ~ ( ( SV256
!= ( produc1223098053term_b @ SV323 ) )
| ~ ~ ! [SY599: allegorical_term_b] :
( SV323
!= ( produc1990145943term_b @ SY599 @ SV256 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1841]) ).
thf(1917,plain,
! [SV324: labeled_graph_b_nat,SV257: labeled_graph_b_nat] :
( ( ( SV257
= ( restrict_b_nat @ SV257 ) )
= $false )
| ( ( ( SV324
!= ( restrict_b_nat @ SV324 ) )
| ( ( graph_union_b_nat @ SV257 @ SV324 )
= ( restrict_b_nat @ ( graph_union_b_nat @ SV257 @ SV324 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1843]) ).
thf(1918,plain,
! [SV369: set_Pr1986765409at_nat,SV325: labeled_graph_b_nat,SV258: labeled_graph_b_nat] :
( ( ( ~ ( graph_529870330at_nat @ SV258 @ SV325 @ SV369 ) )
= $true )
| ( ( extensible_b_nat_nat @ ( produc951298923_b_nat @ SV258 @ SV258 ) @ SV325 @ SV369 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1844]) ).
thf(1919,plain,
! [SV394: produc1478835367term_b,SV326: produc1478835367term_b] :
( ( ( SV326 = SV394 )
= ( ~ ( ( ( produc854192515term_b @ SV326 )
!= ( produc854192515term_b @ SV394 ) )
| ( ( produc1223098053term_b @ SV326 )
!= ( produc1223098053term_b @ SV394 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1845]) ).
thf(1920,plain,
( ( ~ ~ ( ~ ( graph_529870330at_nat @ ( produc1542243159_b_nat @ standa879863266rule_b ) @ ( produc194497945_b_nat @ standa879863266rule_b ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ standa879863266rule_b ) ) ) )
| ( ( produc194497945_b_nat @ standa879863266rule_b )
!= ( restrict_b_nat @ ( produc194497945_b_nat @ standa879863266rule_b ) ) ) )
| ~ ( finite_finite_nat @ ( labele460410879_b_nat @ ( produc194497945_b_nat @ standa879863266rule_b ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1847]) ).
thf(1921,plain,
! [SV371: labeled_graph_b_nat,SV327: labeled_graph_b_nat,SV260: labeled_graph_b_nat] :
( ( ( ( produc194497945_b_nat @ ( produc951298923_b_nat @ SV260 @ SV327 ) )
!= SV371 )
= $true )
| ( ( SV327 = SV371 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1849]) ).
thf(1922,plain,
! [SV328: produc1235635379_b_nat,SV261: produc1235635379_b_nat] :
( ( ( ( produc1542243159_b_nat @ SV261 )
= ( produc1542243159_b_nat @ SV328 ) )
= $false )
| ( ( ( ( produc194497945_b_nat @ SV261 )
!= ( produc194497945_b_nat @ SV328 ) )
| ( SV261 = SV328 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1850]) ).
thf(1923,plain,
! [SV372: labeled_graph_b_nat,SV329: labeled_graph_b_nat,SV262: produc1235635379_b_nat] :
( ( ( SV262
!= ( produc951298923_b_nat @ SV329 @ SV372 ) )
= $true )
| ( ( ( produc1542243159_b_nat @ SV262 )
= SV329 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1851]) ).
thf(1924,plain,
! [SV330: nat,SV263: nat > labeled_graph_b_nat] :
( ( ( chain_b_nat @ SV263 )
= $false )
| ( ( ( SV263 @ SV330 )
= ( restrict_b_nat @ ( SV263 @ SV330 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1852]) ).
thf(1925,plain,
! [SV331: set_Pr9961929at_nat,SV264: set_Pr9961929at_nat] :
( ( ( ord_le910748009at_nat @ SV264 @ SV331 )
= $false )
| ( ( ~ ~ ( finite1987068434at_nat @ SV264 )
| ~ ( finite1987068434at_nat @ SV331 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1853]) ).
thf(1926,plain,
! [SV373: allegorical_term_b,SV332: allegorical_term_b,SV265: allegorical_term_b] :
( ( ( ( produc1223098053term_b @ ( produc1990145943term_b @ SV265 @ SV332 ) )
!= SV373 )
= $true )
| ( ( SV332 = SV373 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1854]) ).
thf(1927,plain,
! [SV395: allegorical_term_b,SV374: allegorical_term_b > $o,SV333: allegorical_term_b,SV266: allegorical_term_b > $o] :
( ( ~ ( SV266 @ SV333 )
| ~ ( SV374 @ SV395 )
| ~ ( ~ ( SV266 @ ( produc854192515term_b @ ( produc1990145943term_b @ SV333 @ SV395 ) ) )
| ~ ( SV374 @ ( produc1223098053term_b @ ( produc1990145943term_b @ SV333 @ SV395 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1855]) ).
thf(1928,plain,
! [SV375: allegorical_term_b,SV334: allegorical_term_b,SV267: produc1478835367term_b] :
( ( ( SV267
!= ( produc1990145943term_b @ SV334 @ SV375 ) )
= $true )
| ( ( ( produc854192515term_b @ SV267 )
= SV334 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1856]) ).
thf(1929,plain,
! [SV376: allegorical_term_b,SV335: allegorical_term_b,SV268: produc1478835367term_b] :
( ( ( SV268
!= ( produc1990145943term_b @ SV335 @ SV376 ) )
= $true )
| ( ( ( produc1223098053term_b @ SV268 )
= SV376 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1857]) ).
thf(1930,plain,
! [SV377: labeled_graph_b_nat,SV336: labeled_graph_b_nat,SV269: labeled_graph_b_nat] :
( ( ( ~ ( graph_529870330at_nat @ SV269 @ SV336 @ ( id_on_nat @ ( labele460410879_b_nat @ SV269 ) ) ) )
= $true )
| ( ( ~ ( graph_529870330at_nat @ SV336 @ SV377 @ ( id_on_nat @ ( labele460410879_b_nat @ SV336 ) ) )
| ( graph_529870330at_nat @ SV269 @ SV377 @ ( id_on_nat @ ( labele460410879_b_nat @ SV269 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1858]) ).
thf(1931,plain,
! [SV337: produc1235635379_b_nat,SV270: produc1235635379_b_nat > $o] :
( ( ( ! [SY526: labeled_graph_b_nat,SY527: labeled_graph_b_nat] : ( SV270 @ ( produc951298923_b_nat @ SY526 @ SY527 ) ) )
= $false )
| ( ( SV270 @ SV337 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1859]) ).
thf(1932,plain,
! [SV396: labeled_graph_b_nat,SV378: labeled_graph_b_nat > $o,SV338: labeled_graph_b_nat,SV271: labeled_graph_b_nat > $o] :
( ( ~ ( SV271 @ SV338 )
| ~ ( SV378 @ SV396 )
| ~ ( ~ ( SV271 @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ SV338 @ SV396 ) ) )
| ~ ( SV378 @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ SV338 @ SV396 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1860]) ).
thf(1933,plain,
! [SV397: allegorical_term_b,SV379: allegorical_term_b,SV339: allegorical_term_b,SV272: allegorical_term_b] :
( ( ( ( produc1990145943term_b @ SV272 @ SV339 )
= ( produc1990145943term_b @ SV379 @ SV397 ) )
= ( ~ ( ( SV272 != SV379 )
| ( SV339 != SV397 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1861]) ).
thf(1934,plain,
! [SV340: labeled_graph_b_nat,SV273: labeled_graph_b_nat] :
( ( ( graph_529870330at_nat @ SV273 @ SV340 @ ( id_on_nat @ ( labele460410879_b_nat @ SV273 ) ) )
= $false )
| ( ( ord_le910748009at_nat @ ( labeled_edges_b_nat @ ( restrict_b_nat @ SV273 ) ) @ ( labeled_edges_b_nat @ SV340 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1862]) ).
thf(1935,plain,
! [SV341: produc1235635379_b_nat,SV274: produc1235635379_b_nat > $o] :
( ( ( ! [SY536: labeled_graph_b_nat,SY537: labeled_graph_b_nat] : ( SV274 @ ( produc951298923_b_nat @ SY536 @ SY537 ) ) )
= $false )
| ( ( SV274 @ SV341 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1863]) ).
thf(1936,plain,
! [SV398: allegorical_term_b,SV380: allegorical_term_b,SV342: allegorical_term_b,SV275: allegorical_term_b] :
( ( ( ( produc1990145943term_b @ SV275 @ SV342 )
!= ( produc1990145943term_b @ SV380 @ SV398 ) )
| ~ ( ( SV275 != SV380 )
| ( SV342 != SV398 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1864]) ).
thf(1937,plain,
! [SV343: set_Pr9961929at_nat,SV276: set_Pr9961929at_nat] :
( ( ( ord_le910748009at_nat @ SV276 @ SV343 )
= $false )
| ( ( ~ ( finite1987068434at_nat @ SV343 )
| ( finite1987068434at_nat @ SV276 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1865]) ).
thf(1938,plain,
! [SV344: produc1235635379_b_nat,SV277: labeled_graph_b_nat] :
( ( ( ~ ( ( SV277
= ( produc194497945_b_nat @ SV344 ) )
| ~ ! [SY621: labeled_graph_b_nat] :
( SV344
!= ( produc951298923_b_nat @ SY621 @ SV277 ) ) ) )
= $true )
| ( ( ~ ( ( SV277
!= ( produc194497945_b_nat @ SV344 ) )
| ~ ~ ! [SY621: labeled_graph_b_nat] :
( SV344
!= ( produc951298923_b_nat @ SY621 @ SV277 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1866]) ).
thf(1939,plain,
! [SV399: produc1235635379_b_nat,SV381: labeled_graph_b_nat,SV345: labeled_graph_b_nat,SV278: labeled_graph_b_nat > labeled_graph_b_nat > $o] :
( ( ~ ( SV278 @ SV345 @ SV381 )
| ( SV399
!= ( produc951298923_b_nat @ SV345 @ SV381 ) )
| ( SV278 @ ( produc1542243159_b_nat @ SV399 ) @ ( produc194497945_b_nat @ SV399 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1868]) ).
thf(1940,plain,
! [SV346: produc1478835367term_b,SV280: allegorical_term_b > allegorical_term_b > $o] :
( ( ( SV280 @ ( produc1223098053term_b @ SV346 ) @ ( produc854192515term_b @ SV346 ) )
= $false )
| ( ( ~ ! [SY548: allegorical_term_b,SY549: allegorical_term_b] :
~ ( SV280 @ SY549 @ SY548 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1870]) ).
thf(1941,plain,
! [SV400: allegorical_term_b,SV382: allegorical_term_b,SV347: allegorical_term_b,SV281: allegorical_term_b] :
( ( ( ( produc1990145943term_b @ SV281 @ SV347 )
= ( produc1990145943term_b @ SV382 @ SV400 ) )
= ( ~ ( ( SV281 != SV382 )
| ( SV347 != SV400 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1871]) ).
thf(1942,plain,
! [SV383: allegorical_term_b,SV348: allegorical_term_b,SV282: allegorical_term_b] :
( ( ( ( produc854192515term_b @ ( produc1990145943term_b @ SV282 @ SV348 ) )
!= SV383 )
= $true )
| ( ( SV282 = SV383 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1872]) ).
thf(1943,plain,
! [SV401: allegorical_term_b,SV384: set_Pr1163220871term_b,SV349: allegorical_term_b,SV283: allegorical_term_b] :
( ( ~ ( member516522448term_b @ ( produc1990145943term_b @ SV283 @ SV349 ) @ SV384 )
| ( SV401 != SV349 )
| ( member516522448term_b @ ( produc1990145943term_b @ SV283 @ SV401 ) @ SV384 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1873]) ).
thf(1944,plain,
! [SV350: labeled_graph_b_nat,SV284: labeled_graph_b_nat] :
( ( ( graph_529870330at_nat @ SV284 @ SV350 @ ( id_on_nat @ ( labele460410879_b_nat @ SV284 ) ) )
= $false )
| ( ( ord_less_eq_set_nat @ ( labele460410879_b_nat @ SV284 ) @ ( labele460410879_b_nat @ SV350 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1874]) ).
thf(1945,plain,
! [SV351: set_Pr9961929at_nat,SV285: set_Pr9961929at_nat] :
( ( ( finite1987068434at_nat @ SV285 )
= $false )
| ( ( ~ ( ord_le910748009at_nat @ SV351 @ SV285 )
| ( finite1987068434at_nat @ SV351 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1875]) ).
thf(1946,plain,
! [SV352: allegorical_term_b,SV286: allegorical_term_b] :
( ( ~ ~ ( ~ ~ ( ~ ( graph_529870330at_nat @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV286 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV286 @ SV352 ) ) ) ) @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV286 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV286 @ SV352 ) ) ) ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV286 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV286 @ SV352 ) ) ) ) ) ) )
| ( ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV286 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV286 @ SV352 ) ) ) )
!= ( restrict_b_nat @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV286 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV286 @ SV352 ) ) ) ) ) ) )
| ~ ( finite_finite_nat @ ( labele460410879_b_nat @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV286 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV286 @ SV352 ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1876]) ).
thf(1947,plain,
! [SV352: allegorical_term_b,SV286: allegorical_term_b] :
( ( ~ ( finite1987068434at_nat @ ( labeled_edges_b_nat @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV286 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV286 @ SV352 ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1876]) ).
thf(1948,plain,
! [SV287: b] :
( ( ~ ( ~ ~ ( ~ ( graph_529870330at_nat @ ( produc1542243159_b_nat @ ( standa1329480013rule_b @ SV287 ) ) @ ( produc194497945_b_nat @ ( standa1329480013rule_b @ SV287 ) ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ ( standa1329480013rule_b @ SV287 ) ) ) ) )
| ( ( produc194497945_b_nat @ ( standa1329480013rule_b @ SV287 ) )
!= ( restrict_b_nat @ ( produc194497945_b_nat @ ( standa1329480013rule_b @ SV287 ) ) ) ) )
| ~ ( finite_finite_nat @ ( labele460410879_b_nat @ ( produc194497945_b_nat @ ( standa1329480013rule_b @ SV287 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1877]) ).
thf(1949,plain,
! [SV287: b] :
( ( finite1987068434at_nat @ ( labeled_edges_b_nat @ ( produc194497945_b_nat @ ( standa1329480013rule_b @ SV287 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1878]) ).
thf(1950,plain,
! [SV402: labeled_graph_b_nat,SV385: labeled_graph_b_nat,SV353: labeled_graph_b_nat,SV288: labeled_graph_b_nat] :
( ( ( ( produc951298923_b_nat @ SV288 @ SV353 )
= ( produc951298923_b_nat @ SV385 @ SV402 ) )
= ( ~ ( ( SV288 != SV385 )
| ( SV353 != SV402 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1879]) ).
thf(1951,plain,
! [SV354: produc1478835367term_b,SV289: produc1478835367term_b > $o] :
( ( ( ! [SY565: allegorical_term_b,SY566: allegorical_term_b] : ( SV289 @ ( produc1990145943term_b @ SY565 @ SY566 ) ) )
= $false )
| ( ( SV289 @ SV354 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1880]) ).
thf(1952,plain,
! [SV355: produc1235635379_b_nat,SV290: labeled_graph_b_nat] :
( ( ( ~ ( ( SV290
= ( produc1542243159_b_nat @ SV355 ) )
| ~ ! [SY635: labeled_graph_b_nat] :
( SV355
!= ( produc951298923_b_nat @ SV290 @ SY635 ) ) ) )
= $true )
| ( ( ~ ( ( SV290
!= ( produc1542243159_b_nat @ SV355 ) )
| ~ ~ ! [SY635: labeled_graph_b_nat] :
( SV355
!= ( produc951298923_b_nat @ SV290 @ SY635 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1881]) ).
thf(1953,plain,
! [SV291: b] :
( ( ~ ( ~ ~ ( ~ ( graph_529870330at_nat @ ( produc1542243159_b_nat @ ( standa1360217389rule_b @ SV291 ) ) @ ( produc194497945_b_nat @ ( standa1360217389rule_b @ SV291 ) ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ ( standa1360217389rule_b @ SV291 ) ) ) ) )
| ( ( produc194497945_b_nat @ ( standa1360217389rule_b @ SV291 ) )
!= ( restrict_b_nat @ ( produc194497945_b_nat @ ( standa1360217389rule_b @ SV291 ) ) ) ) )
| ~ ( finite_finite_nat @ ( labele460410879_b_nat @ ( produc194497945_b_nat @ ( standa1360217389rule_b @ SV291 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1883]) ).
thf(1954,plain,
! [SV291: b] :
( ( finite1987068434at_nat @ ( labeled_edges_b_nat @ ( produc194497945_b_nat @ ( standa1360217389rule_b @ SV291 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1884]) ).
thf(1955,plain,
! [SV356: set_nat,SV292: set_nat] :
( ( ( finite_finite_nat @ SV292 )
= $false )
| ( ( ~ ( ord_less_eq_set_nat @ SV356 @ SV292 )
| ( finite_finite_nat @ SV356 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1885]) ).
thf(1956,plain,
! [SV403: allegorical_term_b,SV386: allegorical_term_b,SV357: allegorical_term_b,SV293: allegorical_term_b] :
( ( ( ( allegorical_A_Int_b @ SV293 @ SV357 )
= ( allegorical_A_Int_b @ SV386 @ SV403 ) )
= ( ~ ( ( SV293 != SV386 )
| ( SV357 != SV403 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1886]) ).
thf(1957,plain,
! [SV294: produc1235635379_b_nat] :
( ( SV294
!= ( produc951298923_b_nat @ ( sK32_SY573 @ SV294 ) @ ( sK34_SY657 @ SV294 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[1887]) ).
thf(1958,plain,
! [SV205: labeled_graph_b_nat] :
( ( ( graph_529870330at_nat @ SV205 @ SV205 @ ( id_on_nat @ ( labele460410879_b_nat @ SV205 ) ) )
= $false )
| ( ( ~ ( ~ ( graph_529870330at_nat @ SV205 @ SV205 @ ( id_on_nat @ ( labele460410879_b_nat @ SV205 ) ) )
| ( SV205
!= ( restrict_b_nat @ SV205 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1888]) ).
thf(1959,plain,
! [SV205: labeled_graph_b_nat] :
( ( ( SV205
= ( restrict_b_nat @ SV205 ) )
= $false )
| ( ( ~ ( ~ ( graph_529870330at_nat @ SV205 @ SV205 @ ( id_on_nat @ ( labele460410879_b_nat @ SV205 ) ) )
| ( SV205
!= ( restrict_b_nat @ SV205 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1888]) ).
thf(1960,plain,
! [SV206: labeled_graph_b_nat] :
( ( ( graph_529870330at_nat @ SV206 @ ( restrict_b_nat @ SV206 ) @ ( id_on_nat @ ( labele460410879_b_nat @ SV206 ) ) )
= $false )
| ( ( ~ ( ~ ( graph_529870330at_nat @ SV206 @ ( restrict_b_nat @ SV206 ) @ ( id_on_nat @ ( labele460410879_b_nat @ SV206 ) ) )
| ( SV206
!= ( restrict_b_nat @ SV206 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1889]) ).
thf(1961,plain,
! [SV206: labeled_graph_b_nat] :
( ( ( SV206
= ( restrict_b_nat @ SV206 ) )
= $false )
| ( ( ~ ( ~ ( graph_529870330at_nat @ SV206 @ ( restrict_b_nat @ SV206 ) @ ( id_on_nat @ ( labele460410879_b_nat @ SV206 ) ) )
| ( SV206
!= ( restrict_b_nat @ SV206 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1889]) ).
thf(1962,plain,
! [SV387: labeled_graph_b_nat,SV358: set_Pr551076371_b_nat,SV302: labeled_graph_b_nat,SV230: labeled_graph_b_nat] :
( ( ( ~ ( member963855452_b_nat @ ( produc951298923_b_nat @ SV230 @ SV302 ) @ SV358 ) )
= $true )
| ( ( ( SV387 != SV302 )
| ( member963855452_b_nat @ ( produc951298923_b_nat @ SV230 @ SV387 ) @ SV358 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1890]) ).
thf(1963,plain,
! [SV388: labeled_graph_b_nat,SV359: labeled_graph_b_nat,SV303: labeled_graph_b_nat,SV231: labeled_graph_b_nat] :
( ( ~ ( ( ( produc951298923_b_nat @ SV231 @ SV303 )
= ( produc951298923_b_nat @ SV359 @ SV388 ) )
| ~ ( ( SV231 != SV359 )
| ( SV303 != SV388 ) ) )
| ~ ( ( ( produc951298923_b_nat @ SV231 @ SV303 )
!= ( produc951298923_b_nat @ SV359 @ SV388 ) )
| ~ ~ ( ( SV231 != SV359 )
| ( SV303 != SV388 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1891]) ).
thf(1964,plain,
! [SV388: labeled_graph_b_nat,SV359: labeled_graph_b_nat,SV303: labeled_graph_b_nat,SV231: labeled_graph_b_nat] :
( ( ( ( produc951298923_b_nat @ SV231 @ SV303 )
= ( produc951298923_b_nat @ SV359 @ SV388 ) )
= ( ~ ( ( SV231 != SV359 )
| ( SV303 != SV388 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1891]) ).
thf(1965,plain,
! [SV232: produc1478835367term_b] :
( ( SV232
= ( produc1990145943term_b @ ( sK29_SY456 @ SV232 ) @ ( sK33_SY640 @ SV232 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1892]) ).
thf(1966,plain,
! [SV360: allegorical_term_b,SV304: allegorical_term_b,SV233: allegorical_term_b > allegorical_term_b > $o] :
( ( ( SV233 @ SV304 @ SV360 )
= $false )
| ( ( SV233 @ ( produc1223098053term_b @ ( produc1990145943term_b @ SV360 @ SV304 ) ) @ ( produc854192515term_b @ ( produc1990145943term_b @ SV360 @ SV304 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1893]) ).
thf(1967,plain,
! [SV305: produc1478835367term_b,SV234: produc1478835367term_b] :
( ( ( ( ( produc854192515term_b @ SV234 )
!= ( produc854192515term_b @ SV305 ) )
| ( ( produc1223098053term_b @ SV234 )
!= ( produc1223098053term_b @ SV305 ) ) )
= $true )
| ( ( SV234 = SV305 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1894]) ).
thf(1968,plain,
! [SV361: labeled_graph_b_nat,SV306: labeled_graph_b_nat,SV235: labeled_graph_b_nat] :
( ( ( ( produc1542243159_b_nat @ ( produc951298923_b_nat @ SV235 @ SV306 ) )
= SV361 )
= $false )
| ( ( SV235 = SV361 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1895]) ).
thf(1969,plain,
! [SV389: produc1235635379_b_nat,SV307: produc1235635379_b_nat] :
( ( ~ ( ( SV307 = SV389 )
| ~ ( ( ( produc1542243159_b_nat @ SV307 )
!= ( produc1542243159_b_nat @ SV389 ) )
| ( ( produc194497945_b_nat @ SV307 )
!= ( produc194497945_b_nat @ SV389 ) ) ) )
| ~ ( ( SV307 != SV389 )
| ~ ~ ( ( ( produc1542243159_b_nat @ SV307 )
!= ( produc1542243159_b_nat @ SV389 ) )
| ( ( produc194497945_b_nat @ SV307 )
!= ( produc194497945_b_nat @ SV389 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1896]) ).
thf(1970,plain,
! [SV389: produc1235635379_b_nat,SV307: produc1235635379_b_nat] :
( ( ( SV307 = SV389 )
= ( ~ ( ( ( produc1542243159_b_nat @ SV307 )
!= ( produc1542243159_b_nat @ SV389 ) )
| ( ( produc194497945_b_nat @ SV307 )
!= ( produc194497945_b_nat @ SV389 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1896]) ).
thf(1971,plain,
! [SV363: labeled_graph_b_nat,SV308: labeled_graph_b_nat,SV237: produc1235635379_b_nat] :
( ( ( SV237
= ( produc951298923_b_nat @ SV308 @ SV363 ) )
= $false )
| ( ( ( produc194497945_b_nat @ SV237 )
= SV363 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1897]) ).
thf(1972,plain,
! [SV309: set_nat,SV238: set_nat] :
( ( ( ~ ~ ( finite_finite_nat @ SV238 ) )
= $true )
| ( ( ~ ( finite_finite_nat @ SV309 ) )
= $true )
| ( ( ord_less_eq_set_nat @ SV238 @ SV309 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1898]) ).
thf(1973,plain,
! [SV239: set_nat,SV310: set_nat] :
( ( ( ~ ( finite_finite_nat @ SV310 ) )
= $true )
| ( ( finite_finite_nat @ SV239 )
= $true )
| ( ( ord_less_eq_set_nat @ SV239 @ SV310 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1899]) ).
thf(1974,plain,
! [SV390: set_Pr1986765409at_nat,SV364: labeled_graph_b_nat,SV311: labeled_graph_b_nat,SV240: labeled_graph_b_nat] :
( ( ( ~ ( graph_529870330at_nat @ SV240 @ SV311 @ ( id_on_nat @ ( labele460410879_b_nat @ SV240 ) ) ) )
= $true )
| ( ( ~ ( graph_529870330at_nat @ SV364 @ SV240 @ SV390 )
| ( graph_529870330at_nat @ SV364 @ SV311 @ SV390 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1900]) ).
thf(1975,plain,
! [SV312: labeled_graph_b_nat,SV241: labeled_graph_b_nat] :
( ( ( ( ( labeled_edges_b_nat @ SV241 )
!= ( labeled_edges_b_nat @ SV312 ) )
| ( ( labele460410879_b_nat @ SV241 )
!= ( labele460410879_b_nat @ SV312 ) ) )
= $true )
| ( ( SV241 = SV312 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1901]) ).
thf(1976,plain,
! [SV365: labeled_graph_b_nat,SV313: labeled_graph_b_nat,SV242: labeled_graph_b_nat > labeled_graph_b_nat > $o] :
( ( ( SV242 @ SV313 @ SV365 )
= $false )
| ( ( SV242 @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ SV365 @ SV313 ) ) @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ SV365 @ SV313 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1902]) ).
thf(1977,plain,
! [SV243: produc1235635379_b_nat] :
( ( ! [SY642: labeled_graph_b_nat] :
( SV243
!= ( produc951298923_b_nat @ ( sK30_SY475 @ SV243 ) @ SY642 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1903]) ).
thf(1978,plain,
! [SV244: set_nat] :
( ( ( SV244 = bot_bot_set_nat )
= $false )
| ( ( finite_finite_nat @ SV244 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1904]) ).
thf(1979,plain,
! [SV314: produc1235635379_b_nat,SV245: produc1235635379_b_nat] :
( ( ( ( ( produc1542243159_b_nat @ SV245 )
!= ( produc1542243159_b_nat @ SV314 ) )
| ( ( produc194497945_b_nat @ SV245 )
!= ( produc194497945_b_nat @ SV314 ) ) )
= $true )
| ( ( SV245 = SV314 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1905]) ).
thf(1980,plain,
! [SV315: produc1478835367term_b,SV246: produc1478835367term_b] :
( ( ( ( produc1223098053term_b @ SV246 )
!= ( produc1223098053term_b @ SV315 ) )
= $true )
| ( ( SV246 = SV315 )
= $true )
| ( ( ( produc854192515term_b @ SV246 )
= ( produc854192515term_b @ SV315 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1906]) ).
thf(1981,plain,
! [SV391: labeled_graph_b_nat,SV366: labeled_graph_b_nat,SV316: labeled_graph_b_nat,SV247: labeled_graph_b_nat] :
( ( ( ( produc951298923_b_nat @ SV247 @ SV316 )
!= ( produc951298923_b_nat @ SV366 @ SV391 ) )
= $true )
| ( ( ~ ( ( SV247 != SV366 )
| ( SV316 != SV391 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1907]) ).
thf(1982,plain,
! [SV392: produc1478835367term_b,SV367: allegorical_term_b,SV317: allegorical_term_b,SV248: allegorical_term_b > allegorical_term_b > $o] :
( ( ( ~ ( SV248 @ SV317 @ SV367 ) )
= $true )
| ( ( ( SV392
!= ( produc1990145943term_b @ SV317 @ SV367 ) )
| ( SV248 @ ( produc854192515term_b @ SV392 ) @ ( produc1223098053term_b @ SV392 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1908]) ).
thf(1983,plain,
! [SV318: produc1235635379_b_nat,SV249: labeled_graph_b_nat > labeled_graph_b_nat > $o] :
( ( ( ! [SY486: labeled_graph_b_nat,SY487: labeled_graph_b_nat] :
~ ( SV249 @ SY487 @ SY486 ) )
= $false )
| ( ( SV249 @ ( produc194497945_b_nat @ SV318 ) @ ( produc1542243159_b_nat @ SV318 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1909]) ).
thf(1984,plain,
! [SV319: labeled_graph_b_nat,SV250: labeled_graph_b_nat] :
( ( ( ( graph_529870330at_nat @ SV250 @ SV319 @ ( id_on_nat @ ( labele460410879_b_nat @ SV250 ) ) )
| ~ ( ~ ~ ( ( SV250
!= ( restrict_b_nat @ SV250 ) )
| ( SV319
!= ( restrict_b_nat @ SV319 ) ) )
| ( ( graph_union_b_nat @ SV250 @ SV319 )
!= SV319 ) ) )
= $false )
| ( ( ~ ( ~ ( graph_529870330at_nat @ SV250 @ SV319 @ ( id_on_nat @ ( labele460410879_b_nat @ SV250 ) ) )
| ~ ~ ( ~ ~ ( ( SV250
!= ( restrict_b_nat @ SV250 ) )
| ( SV319
!= ( restrict_b_nat @ SV319 ) ) )
| ( ( graph_union_b_nat @ SV250 @ SV319 )
!= SV319 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1910]) ).
thf(1985,plain,
! [SV251: produc1478835367term_b] :
( ( ! [SY645: allegorical_term_b] :
( SV251
!= ( produc1990145943term_b @ ( sK31_SY489 @ SV251 ) @ SY645 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1911]) ).
thf(1986,plain,
! [SV252: set_Pr9961929at_nat] :
( ( ( SV252 = bot_bo1626616373at_nat )
= $false )
| ( ( finite1987068434at_nat @ SV252 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1912]) ).
thf(1987,plain,
! [SV320: produc1478835367term_b,SV253: produc1478835367term_b > $o] :
( ( ( ! [SY659: allegorical_term_b] : ( SV253 @ ( produc1990145943term_b @ ( sK35_SY492 @ SV320 @ SV253 ) @ SY659 ) ) )
= $false )
| ( ( SV253 @ SV320 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1913]) ).
thf(1988,plain,
! [SV321: produc1478835367term_b,SV254: allegorical_term_b] :
( ( ( ( SV254
= ( produc854192515term_b @ SV321 ) )
| ~ ! [SY595: allegorical_term_b] :
( SV321
!= ( produc1990145943term_b @ SV254 @ SY595 ) ) )
= $false )
| ( ( ~ ( ( SV254
!= ( produc854192515term_b @ SV321 ) )
| ~ ~ ! [SY595: allegorical_term_b] :
( SV321
!= ( produc1990145943term_b @ SV254 @ SY595 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1914]) ).
thf(1989,plain,
! [SV404: set_Pr1986765409at_nat,SV393: labeled_graph_b_nat,SV368: set_Pr1986765409at_nat,SV322: labeled_graph_b_nat,SV255: labeled_graph_b_nat] :
( ( ~ ( graph_529870330at_nat @ SV255 @ SV322 @ SV368 )
| ~ ( graph_529870330at_nat @ SV322 @ SV393 @ SV404 )
| ( graph_529870330at_nat @ SV255 @ SV393 @ ( relcomp_nat_nat_nat @ SV368 @ SV404 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1915]) ).
thf(1990,plain,
! [SV323: produc1478835367term_b,SV256: allegorical_term_b] :
( ( ( ( SV256
= ( produc1223098053term_b @ SV323 ) )
| ~ ! [SY599: allegorical_term_b] :
( SV323
!= ( produc1990145943term_b @ SY599 @ SV256 ) ) )
= $false )
| ( ( ~ ( ( SV256
!= ( produc1223098053term_b @ SV323 ) )
| ~ ~ ! [SY599: allegorical_term_b] :
( SV323
!= ( produc1990145943term_b @ SY599 @ SV256 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1916]) ).
thf(1991,plain,
! [SV257: labeled_graph_b_nat,SV324: labeled_graph_b_nat] :
( ( ( SV324
!= ( restrict_b_nat @ SV324 ) )
= $true )
| ( ( ( graph_union_b_nat @ SV257 @ SV324 )
= ( restrict_b_nat @ ( graph_union_b_nat @ SV257 @ SV324 ) ) )
= $true )
| ( ( SV257
= ( restrict_b_nat @ SV257 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1917]) ).
thf(1992,plain,
! [SV369: set_Pr1986765409at_nat,SV325: labeled_graph_b_nat,SV258: labeled_graph_b_nat] :
( ( ( graph_529870330at_nat @ SV258 @ SV325 @ SV369 )
= $false )
| ( ( extensible_b_nat_nat @ ( produc951298923_b_nat @ SV258 @ SV258 ) @ SV325 @ SV369 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1918]) ).
thf(1993,plain,
! [SV394: produc1478835367term_b,SV326: produc1478835367term_b] :
( ( ~ ( ( SV326 = SV394 )
| ~ ( ( ( produc854192515term_b @ SV326 )
!= ( produc854192515term_b @ SV394 ) )
| ( ( produc1223098053term_b @ SV326 )
!= ( produc1223098053term_b @ SV394 ) ) ) )
| ~ ( ( SV326 != SV394 )
| ~ ~ ( ( ( produc854192515term_b @ SV326 )
!= ( produc854192515term_b @ SV394 ) )
| ( ( produc1223098053term_b @ SV326 )
!= ( produc1223098053term_b @ SV394 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1919]) ).
thf(1994,plain,
! [SV394: produc1478835367term_b,SV326: produc1478835367term_b] :
( ( ( SV326 = SV394 )
= ( ~ ( ( ( produc854192515term_b @ SV326 )
!= ( produc854192515term_b @ SV394 ) )
| ( ( produc1223098053term_b @ SV326 )
!= ( produc1223098053term_b @ SV394 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1919]) ).
thf(1995,plain,
( ( ~ ~ ( ~ ( graph_529870330at_nat @ ( produc1542243159_b_nat @ standa879863266rule_b ) @ ( produc194497945_b_nat @ standa879863266rule_b ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ standa879863266rule_b ) ) ) )
| ( ( produc194497945_b_nat @ standa879863266rule_b )
!= ( restrict_b_nat @ ( produc194497945_b_nat @ standa879863266rule_b ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1920]) ).
thf(1996,plain,
( ( ~ ( finite_finite_nat @ ( labele460410879_b_nat @ ( produc194497945_b_nat @ standa879863266rule_b ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1920]) ).
thf(1997,plain,
! [SV371: labeled_graph_b_nat,SV327: labeled_graph_b_nat,SV260: labeled_graph_b_nat] :
( ( ( ( produc194497945_b_nat @ ( produc951298923_b_nat @ SV260 @ SV327 ) )
= SV371 )
= $false )
| ( ( SV327 = SV371 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1921]) ).
thf(1998,plain,
! [SV328: produc1235635379_b_nat,SV261: produc1235635379_b_nat] :
( ( ( ( produc194497945_b_nat @ SV261 )
!= ( produc194497945_b_nat @ SV328 ) )
= $true )
| ( ( SV261 = SV328 )
= $true )
| ( ( ( produc1542243159_b_nat @ SV261 )
= ( produc1542243159_b_nat @ SV328 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1922]) ).
thf(1999,plain,
! [SV372: labeled_graph_b_nat,SV329: labeled_graph_b_nat,SV262: produc1235635379_b_nat] :
( ( ( SV262
= ( produc951298923_b_nat @ SV329 @ SV372 ) )
= $false )
| ( ( ( produc1542243159_b_nat @ SV262 )
= SV329 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1923]) ).
thf(2000,plain,
! [SV331: set_Pr9961929at_nat,SV264: set_Pr9961929at_nat] :
( ( ( ~ ~ ( finite1987068434at_nat @ SV264 ) )
= $true )
| ( ( ~ ( finite1987068434at_nat @ SV331 ) )
= $true )
| ( ( ord_le910748009at_nat @ SV264 @ SV331 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1925]) ).
thf(2001,plain,
! [SV373: allegorical_term_b,SV332: allegorical_term_b,SV265: allegorical_term_b] :
( ( ( ( produc1223098053term_b @ ( produc1990145943term_b @ SV265 @ SV332 ) )
= SV373 )
= $false )
| ( ( SV332 = SV373 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1926]) ).
thf(2002,plain,
! [SV395: allegorical_term_b,SV374: allegorical_term_b > $o,SV333: allegorical_term_b,SV266: allegorical_term_b > $o] :
( ( ( ~ ( SV266 @ SV333 ) )
= $true )
| ( ( ~ ( SV374 @ SV395 )
| ~ ( ~ ( SV266 @ ( produc854192515term_b @ ( produc1990145943term_b @ SV333 @ SV395 ) ) )
| ~ ( SV374 @ ( produc1223098053term_b @ ( produc1990145943term_b @ SV333 @ SV395 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1927]) ).
thf(2003,plain,
! [SV375: allegorical_term_b,SV334: allegorical_term_b,SV267: produc1478835367term_b] :
( ( ( SV267
= ( produc1990145943term_b @ SV334 @ SV375 ) )
= $false )
| ( ( ( produc854192515term_b @ SV267 )
= SV334 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1928]) ).
thf(2004,plain,
! [SV376: allegorical_term_b,SV335: allegorical_term_b,SV268: produc1478835367term_b] :
( ( ( SV268
= ( produc1990145943term_b @ SV335 @ SV376 ) )
= $false )
| ( ( ( produc1223098053term_b @ SV268 )
= SV376 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1929]) ).
thf(2005,plain,
! [SV377: labeled_graph_b_nat,SV336: labeled_graph_b_nat,SV269: labeled_graph_b_nat] :
( ( ( graph_529870330at_nat @ SV269 @ SV336 @ ( id_on_nat @ ( labele460410879_b_nat @ SV269 ) ) )
= $false )
| ( ( ~ ( graph_529870330at_nat @ SV336 @ SV377 @ ( id_on_nat @ ( labele460410879_b_nat @ SV336 ) ) )
| ( graph_529870330at_nat @ SV269 @ SV377 @ ( id_on_nat @ ( labele460410879_b_nat @ SV269 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1930]) ).
thf(2006,plain,
! [SV337: produc1235635379_b_nat,SV270: produc1235635379_b_nat > $o] :
( ( ( ! [SY660: labeled_graph_b_nat] : ( SV270 @ ( produc951298923_b_nat @ ( sK36_SY526 @ SV337 @ SV270 ) @ SY660 ) ) )
= $false )
| ( ( SV270 @ SV337 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1931]) ).
thf(2007,plain,
! [SV396: labeled_graph_b_nat,SV378: labeled_graph_b_nat > $o,SV338: labeled_graph_b_nat,SV271: labeled_graph_b_nat > $o] :
( ( ( ~ ( SV271 @ SV338 ) )
= $true )
| ( ( ~ ( SV378 @ SV396 )
| ~ ( ~ ( SV271 @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ SV338 @ SV396 ) ) )
| ~ ( SV378 @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ SV338 @ SV396 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1932]) ).
thf(2008,plain,
! [SV397: allegorical_term_b,SV379: allegorical_term_b,SV339: allegorical_term_b,SV272: allegorical_term_b] :
( ( ~ ( ( ( produc1990145943term_b @ SV272 @ SV339 )
= ( produc1990145943term_b @ SV379 @ SV397 ) )
| ~ ( ( SV272 != SV379 )
| ( SV339 != SV397 ) ) )
| ~ ( ( ( produc1990145943term_b @ SV272 @ SV339 )
!= ( produc1990145943term_b @ SV379 @ SV397 ) )
| ~ ~ ( ( SV272 != SV379 )
| ( SV339 != SV397 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1933]) ).
thf(2009,plain,
! [SV397: allegorical_term_b,SV379: allegorical_term_b,SV339: allegorical_term_b,SV272: allegorical_term_b] :
( ( ( ( produc1990145943term_b @ SV272 @ SV339 )
= ( produc1990145943term_b @ SV379 @ SV397 ) )
= ( ~ ( ( SV272 != SV379 )
| ( SV339 != SV397 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1933]) ).
thf(2010,plain,
! [SV341: produc1235635379_b_nat,SV274: produc1235635379_b_nat > $o] :
( ( ( ! [SY661: labeled_graph_b_nat] : ( SV274 @ ( produc951298923_b_nat @ ( sK37_SY536 @ SV341 @ SV274 ) @ SY661 ) ) )
= $false )
| ( ( SV274 @ SV341 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1935]) ).
thf(2011,plain,
! [SV398: allegorical_term_b,SV380: allegorical_term_b,SV342: allegorical_term_b,SV275: allegorical_term_b] :
( ( ( ( produc1990145943term_b @ SV275 @ SV342 )
!= ( produc1990145943term_b @ SV380 @ SV398 ) )
= $true )
| ( ( ~ ( ( SV275 != SV380 )
| ( SV342 != SV398 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1936]) ).
thf(2012,plain,
! [SV276: set_Pr9961929at_nat,SV343: set_Pr9961929at_nat] :
( ( ( ~ ( finite1987068434at_nat @ SV343 ) )
= $true )
| ( ( finite1987068434at_nat @ SV276 )
= $true )
| ( ( ord_le910748009at_nat @ SV276 @ SV343 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1937]) ).
thf(2013,plain,
! [SV344: produc1235635379_b_nat,SV277: labeled_graph_b_nat] :
( ( ( ( SV277
= ( produc194497945_b_nat @ SV344 ) )
| ~ ! [SY621: labeled_graph_b_nat] :
( SV344
!= ( produc951298923_b_nat @ SY621 @ SV277 ) ) )
= $false )
| ( ( ~ ( ( SV277
!= ( produc194497945_b_nat @ SV344 ) )
| ~ ~ ! [SY621: labeled_graph_b_nat] :
( SV344
!= ( produc951298923_b_nat @ SY621 @ SV277 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1938]) ).
thf(2014,plain,
! [SV399: produc1235635379_b_nat,SV381: labeled_graph_b_nat,SV345: labeled_graph_b_nat,SV278: labeled_graph_b_nat > labeled_graph_b_nat > $o] :
( ( ( ~ ( SV278 @ SV345 @ SV381 ) )
= $true )
| ( ( ( SV399
!= ( produc951298923_b_nat @ SV345 @ SV381 ) )
| ( SV278 @ ( produc1542243159_b_nat @ SV399 ) @ ( produc194497945_b_nat @ SV399 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1939]) ).
thf(2015,plain,
! [SV346: produc1478835367term_b,SV280: allegorical_term_b > allegorical_term_b > $o] :
( ( ( ! [SY548: allegorical_term_b,SY549: allegorical_term_b] :
~ ( SV280 @ SY549 @ SY548 ) )
= $false )
| ( ( SV280 @ ( produc1223098053term_b @ SV346 ) @ ( produc854192515term_b @ SV346 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1940]) ).
thf(2016,plain,
! [SV400: allegorical_term_b,SV382: allegorical_term_b,SV347: allegorical_term_b,SV281: allegorical_term_b] :
( ( ~ ( ( ( produc1990145943term_b @ SV281 @ SV347 )
= ( produc1990145943term_b @ SV382 @ SV400 ) )
| ~ ( ( SV281 != SV382 )
| ( SV347 != SV400 ) ) )
| ~ ( ( ( produc1990145943term_b @ SV281 @ SV347 )
!= ( produc1990145943term_b @ SV382 @ SV400 ) )
| ~ ~ ( ( SV281 != SV382 )
| ( SV347 != SV400 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1941]) ).
thf(2017,plain,
! [SV400: allegorical_term_b,SV382: allegorical_term_b,SV347: allegorical_term_b,SV281: allegorical_term_b] :
( ( ( ( produc1990145943term_b @ SV281 @ SV347 )
= ( produc1990145943term_b @ SV382 @ SV400 ) )
= ( ~ ( ( SV281 != SV382 )
| ( SV347 != SV400 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1941]) ).
thf(2018,plain,
! [SV383: allegorical_term_b,SV348: allegorical_term_b,SV282: allegorical_term_b] :
( ( ( ( produc854192515term_b @ ( produc1990145943term_b @ SV282 @ SV348 ) )
= SV383 )
= $false )
| ( ( SV282 = SV383 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1942]) ).
thf(2019,plain,
! [SV401: allegorical_term_b,SV384: set_Pr1163220871term_b,SV349: allegorical_term_b,SV283: allegorical_term_b] :
( ( ( ~ ( member516522448term_b @ ( produc1990145943term_b @ SV283 @ SV349 ) @ SV384 ) )
= $true )
| ( ( ( SV401 != SV349 )
| ( member516522448term_b @ ( produc1990145943term_b @ SV283 @ SV401 ) @ SV384 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1943]) ).
thf(2020,plain,
! [SV285: set_Pr9961929at_nat,SV351: set_Pr9961929at_nat] :
( ( ( ~ ( ord_le910748009at_nat @ SV351 @ SV285 ) )
= $true )
| ( ( finite1987068434at_nat @ SV351 )
= $true )
| ( ( finite1987068434at_nat @ SV285 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1945]) ).
thf(2021,plain,
! [SV352: allegorical_term_b,SV286: allegorical_term_b] :
( ( ~ ( ~ ~ ( ~ ( graph_529870330at_nat @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV286 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV286 @ SV352 ) ) ) ) @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV286 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV286 @ SV352 ) ) ) ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV286 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV286 @ SV352 ) ) ) ) ) ) )
| ( ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV286 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV286 @ SV352 ) ) ) )
!= ( restrict_b_nat @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV286 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV286 @ SV352 ) ) ) ) ) ) )
| ~ ( finite_finite_nat @ ( labele460410879_b_nat @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV286 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV286 @ SV352 ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1946]) ).
thf(2022,plain,
! [SV352: allegorical_term_b,SV286: allegorical_term_b] :
( ( finite1987068434at_nat @ ( labeled_edges_b_nat @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV286 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV286 @ SV352 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1947]) ).
thf(2023,plain,
! [SV287: b] :
( ( ~ ~ ( ~ ( graph_529870330at_nat @ ( produc1542243159_b_nat @ ( standa1329480013rule_b @ SV287 ) ) @ ( produc194497945_b_nat @ ( standa1329480013rule_b @ SV287 ) ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ ( standa1329480013rule_b @ SV287 ) ) ) ) )
| ( ( produc194497945_b_nat @ ( standa1329480013rule_b @ SV287 ) )
!= ( restrict_b_nat @ ( produc194497945_b_nat @ ( standa1329480013rule_b @ SV287 ) ) ) ) )
| ~ ( finite_finite_nat @ ( labele460410879_b_nat @ ( produc194497945_b_nat @ ( standa1329480013rule_b @ SV287 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1948]) ).
thf(2024,plain,
! [SV402: labeled_graph_b_nat,SV385: labeled_graph_b_nat,SV353: labeled_graph_b_nat,SV288: labeled_graph_b_nat] :
( ( ~ ( ( ( produc951298923_b_nat @ SV288 @ SV353 )
= ( produc951298923_b_nat @ SV385 @ SV402 ) )
| ~ ( ( SV288 != SV385 )
| ( SV353 != SV402 ) ) )
| ~ ( ( ( produc951298923_b_nat @ SV288 @ SV353 )
!= ( produc951298923_b_nat @ SV385 @ SV402 ) )
| ~ ~ ( ( SV288 != SV385 )
| ( SV353 != SV402 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1950]) ).
thf(2025,plain,
! [SV402: labeled_graph_b_nat,SV385: labeled_graph_b_nat,SV353: labeled_graph_b_nat,SV288: labeled_graph_b_nat] :
( ( ( ( produc951298923_b_nat @ SV288 @ SV353 )
= ( produc951298923_b_nat @ SV385 @ SV402 ) )
= ( ~ ( ( SV288 != SV385 )
| ( SV353 != SV402 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1950]) ).
thf(2026,plain,
! [SV354: produc1478835367term_b,SV289: produc1478835367term_b > $o] :
( ( ( ! [SY662: allegorical_term_b] : ( SV289 @ ( produc1990145943term_b @ ( sK38_SY565 @ SV354 @ SV289 ) @ SY662 ) ) )
= $false )
| ( ( SV289 @ SV354 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1951]) ).
thf(2027,plain,
! [SV355: produc1235635379_b_nat,SV290: labeled_graph_b_nat] :
( ( ( ( SV290
= ( produc1542243159_b_nat @ SV355 ) )
| ~ ! [SY635: labeled_graph_b_nat] :
( SV355
!= ( produc951298923_b_nat @ SV290 @ SY635 ) ) )
= $false )
| ( ( ~ ( ( SV290
!= ( produc1542243159_b_nat @ SV355 ) )
| ~ ~ ! [SY635: labeled_graph_b_nat] :
( SV355
!= ( produc951298923_b_nat @ SV290 @ SY635 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1952]) ).
thf(2028,plain,
! [SV291: b] :
( ( ~ ~ ( ~ ( graph_529870330at_nat @ ( produc1542243159_b_nat @ ( standa1360217389rule_b @ SV291 ) ) @ ( produc194497945_b_nat @ ( standa1360217389rule_b @ SV291 ) ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ ( standa1360217389rule_b @ SV291 ) ) ) ) )
| ( ( produc194497945_b_nat @ ( standa1360217389rule_b @ SV291 ) )
!= ( restrict_b_nat @ ( produc194497945_b_nat @ ( standa1360217389rule_b @ SV291 ) ) ) ) )
| ~ ( finite_finite_nat @ ( labele460410879_b_nat @ ( produc194497945_b_nat @ ( standa1360217389rule_b @ SV291 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1953]) ).
thf(2029,plain,
! [SV292: set_nat,SV356: set_nat] :
( ( ( ~ ( ord_less_eq_set_nat @ SV356 @ SV292 ) )
= $true )
| ( ( finite_finite_nat @ SV356 )
= $true )
| ( ( finite_finite_nat @ SV292 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1955]) ).
thf(2030,plain,
! [SV403: allegorical_term_b,SV386: allegorical_term_b,SV357: allegorical_term_b,SV293: allegorical_term_b] :
( ( ~ ( ( ( allegorical_A_Int_b @ SV293 @ SV357 )
= ( allegorical_A_Int_b @ SV386 @ SV403 ) )
| ~ ( ( SV293 != SV386 )
| ( SV357 != SV403 ) ) )
| ~ ( ( ( allegorical_A_Int_b @ SV293 @ SV357 )
!= ( allegorical_A_Int_b @ SV386 @ SV403 ) )
| ~ ~ ( ( SV293 != SV386 )
| ( SV357 != SV403 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1956]) ).
thf(2031,plain,
! [SV403: allegorical_term_b,SV386: allegorical_term_b,SV357: allegorical_term_b,SV293: allegorical_term_b] :
( ( ( ( allegorical_A_Int_b @ SV293 @ SV357 )
= ( allegorical_A_Int_b @ SV386 @ SV403 ) )
= ( ~ ( ( SV293 != SV386 )
| ( SV357 != SV403 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1956]) ).
thf(2032,plain,
! [SV294: produc1235635379_b_nat] :
( ( SV294
= ( produc951298923_b_nat @ ( sK32_SY573 @ SV294 ) @ ( sK34_SY657 @ SV294 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1957]) ).
thf(2033,plain,
! [SV205: labeled_graph_b_nat] :
( ( ( ~ ( graph_529870330at_nat @ SV205 @ SV205 @ ( id_on_nat @ ( labele460410879_b_nat @ SV205 ) ) )
| ( SV205
!= ( restrict_b_nat @ SV205 ) ) )
= $false )
| ( ( graph_529870330at_nat @ SV205 @ SV205 @ ( id_on_nat @ ( labele460410879_b_nat @ SV205 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1958]) ).
thf(2034,plain,
! [SV205: labeled_graph_b_nat] :
( ( ( ~ ( graph_529870330at_nat @ SV205 @ SV205 @ ( id_on_nat @ ( labele460410879_b_nat @ SV205 ) ) )
| ( SV205
!= ( restrict_b_nat @ SV205 ) ) )
= $false )
| ( ( SV205
= ( restrict_b_nat @ SV205 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1959]) ).
thf(2035,plain,
! [SV206: labeled_graph_b_nat] :
( ( ( ~ ( graph_529870330at_nat @ SV206 @ ( restrict_b_nat @ SV206 ) @ ( id_on_nat @ ( labele460410879_b_nat @ SV206 ) ) )
| ( SV206
!= ( restrict_b_nat @ SV206 ) ) )
= $false )
| ( ( graph_529870330at_nat @ SV206 @ ( restrict_b_nat @ SV206 ) @ ( id_on_nat @ ( labele460410879_b_nat @ SV206 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1960]) ).
thf(2036,plain,
! [SV206: labeled_graph_b_nat] :
( ( ( ~ ( graph_529870330at_nat @ SV206 @ ( restrict_b_nat @ SV206 ) @ ( id_on_nat @ ( labele460410879_b_nat @ SV206 ) ) )
| ( SV206
!= ( restrict_b_nat @ SV206 ) ) )
= $false )
| ( ( SV206
= ( restrict_b_nat @ SV206 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1961]) ).
thf(2037,plain,
! [SV387: labeled_graph_b_nat,SV358: set_Pr551076371_b_nat,SV302: labeled_graph_b_nat,SV230: labeled_graph_b_nat] :
( ( ( member963855452_b_nat @ ( produc951298923_b_nat @ SV230 @ SV302 ) @ SV358 )
= $false )
| ( ( ( SV387 != SV302 )
| ( member963855452_b_nat @ ( produc951298923_b_nat @ SV230 @ SV387 ) @ SV358 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1962]) ).
thf(2038,plain,
! [SV388: labeled_graph_b_nat,SV359: labeled_graph_b_nat,SV303: labeled_graph_b_nat,SV231: labeled_graph_b_nat] :
( ( ( ~ ( ( ( produc951298923_b_nat @ SV231 @ SV303 )
= ( produc951298923_b_nat @ SV359 @ SV388 ) )
| ~ ( ( SV231 != SV359 )
| ( SV303 != SV388 ) ) ) )
= $true )
| ( ( ~ ( ( ( produc951298923_b_nat @ SV231 @ SV303 )
!= ( produc951298923_b_nat @ SV359 @ SV388 ) )
| ~ ~ ( ( SV231 != SV359 )
| ( SV303 != SV388 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1963]) ).
thf(2039,plain,
! [SV305: produc1478835367term_b,SV234: produc1478835367term_b] :
( ( ( ( produc854192515term_b @ SV234 )
!= ( produc854192515term_b @ SV305 ) )
= $true )
| ( ( ( produc1223098053term_b @ SV234 )
!= ( produc1223098053term_b @ SV305 ) )
= $true )
| ( ( SV234 = SV305 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1967]) ).
thf(2040,plain,
! [SV389: produc1235635379_b_nat,SV307: produc1235635379_b_nat] :
( ( ( ~ ( ( SV307 = SV389 )
| ~ ( ( ( produc1542243159_b_nat @ SV307 )
!= ( produc1542243159_b_nat @ SV389 ) )
| ( ( produc194497945_b_nat @ SV307 )
!= ( produc194497945_b_nat @ SV389 ) ) ) ) )
= $true )
| ( ( ~ ( ( SV307 != SV389 )
| ~ ~ ( ( ( produc1542243159_b_nat @ SV307 )
!= ( produc1542243159_b_nat @ SV389 ) )
| ( ( produc194497945_b_nat @ SV307 )
!= ( produc194497945_b_nat @ SV389 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1969]) ).
thf(2041,plain,
! [SV309: set_nat,SV238: set_nat] :
( ( ( ~ ( finite_finite_nat @ SV238 ) )
= $false )
| ( ( ~ ( finite_finite_nat @ SV309 ) )
= $true )
| ( ( ord_less_eq_set_nat @ SV238 @ SV309 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1972]) ).
thf(2042,plain,
! [SV239: set_nat,SV310: set_nat] :
( ( ( finite_finite_nat @ SV310 )
= $false )
| ( ( finite_finite_nat @ SV239 )
= $true )
| ( ( ord_less_eq_set_nat @ SV239 @ SV310 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1973]) ).
thf(2043,plain,
! [SV390: set_Pr1986765409at_nat,SV364: labeled_graph_b_nat,SV311: labeled_graph_b_nat,SV240: labeled_graph_b_nat] :
( ( ( graph_529870330at_nat @ SV240 @ SV311 @ ( id_on_nat @ ( labele460410879_b_nat @ SV240 ) ) )
= $false )
| ( ( ~ ( graph_529870330at_nat @ SV364 @ SV240 @ SV390 )
| ( graph_529870330at_nat @ SV364 @ SV311 @ SV390 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1974]) ).
thf(2044,plain,
! [SV312: labeled_graph_b_nat,SV241: labeled_graph_b_nat] :
( ( ( ( labeled_edges_b_nat @ SV241 )
!= ( labeled_edges_b_nat @ SV312 ) )
= $true )
| ( ( ( labele460410879_b_nat @ SV241 )
!= ( labele460410879_b_nat @ SV312 ) )
= $true )
| ( ( SV241 = SV312 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1975]) ).
thf(2045,plain,
! [SV243: produc1235635379_b_nat] :
( ( SV243
!= ( produc951298923_b_nat @ ( sK30_SY475 @ SV243 ) @ ( sK39_SY642 @ SV243 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[1977]) ).
thf(2046,plain,
! [SV314: produc1235635379_b_nat,SV245: produc1235635379_b_nat] :
( ( ( ( produc1542243159_b_nat @ SV245 )
!= ( produc1542243159_b_nat @ SV314 ) )
= $true )
| ( ( ( produc194497945_b_nat @ SV245 )
!= ( produc194497945_b_nat @ SV314 ) )
= $true )
| ( ( SV245 = SV314 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1979]) ).
thf(2047,plain,
! [SV315: produc1478835367term_b,SV246: produc1478835367term_b] :
( ( ( ( produc1223098053term_b @ SV246 )
= ( produc1223098053term_b @ SV315 ) )
= $false )
| ( ( SV246 = SV315 )
= $true )
| ( ( ( produc854192515term_b @ SV246 )
= ( produc854192515term_b @ SV315 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1980]) ).
thf(2048,plain,
! [SV391: labeled_graph_b_nat,SV366: labeled_graph_b_nat,SV316: labeled_graph_b_nat,SV247: labeled_graph_b_nat] :
( ( ( ( produc951298923_b_nat @ SV247 @ SV316 )
= ( produc951298923_b_nat @ SV366 @ SV391 ) )
= $false )
| ( ( ~ ( ( SV247 != SV366 )
| ( SV316 != SV391 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1981]) ).
thf(2049,plain,
! [SV392: produc1478835367term_b,SV367: allegorical_term_b,SV317: allegorical_term_b,SV248: allegorical_term_b > allegorical_term_b > $o] :
( ( ( SV248 @ SV317 @ SV367 )
= $false )
| ( ( ( SV392
!= ( produc1990145943term_b @ SV317 @ SV367 ) )
| ( SV248 @ ( produc854192515term_b @ SV392 ) @ ( produc1223098053term_b @ SV392 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1982]) ).
thf(2050,plain,
! [SV318: produc1235635379_b_nat,SV249: labeled_graph_b_nat > labeled_graph_b_nat > $o] :
( ( ( ! [SY663: labeled_graph_b_nat] :
~ ( SV249 @ SY663 @ ( sK40_SY486 @ SV318 @ SV249 ) ) )
= $false )
| ( ( SV249 @ ( produc194497945_b_nat @ SV318 ) @ ( produc1542243159_b_nat @ SV318 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1983]) ).
thf(2051,plain,
! [SV319: labeled_graph_b_nat,SV250: labeled_graph_b_nat] :
( ( ( graph_529870330at_nat @ SV250 @ SV319 @ ( id_on_nat @ ( labele460410879_b_nat @ SV250 ) ) )
= $false )
| ( ( ~ ( ~ ( graph_529870330at_nat @ SV250 @ SV319 @ ( id_on_nat @ ( labele460410879_b_nat @ SV250 ) ) )
| ~ ~ ( ~ ~ ( ( SV250
!= ( restrict_b_nat @ SV250 ) )
| ( SV319
!= ( restrict_b_nat @ SV319 ) ) )
| ( ( graph_union_b_nat @ SV250 @ SV319 )
!= SV319 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1984]) ).
thf(2052,plain,
! [SV319: labeled_graph_b_nat,SV250: labeled_graph_b_nat] :
( ( ( ~ ( ~ ~ ( ( SV250
!= ( restrict_b_nat @ SV250 ) )
| ( SV319
!= ( restrict_b_nat @ SV319 ) ) )
| ( ( graph_union_b_nat @ SV250 @ SV319 )
!= SV319 ) ) )
= $false )
| ( ( ~ ( ~ ( graph_529870330at_nat @ SV250 @ SV319 @ ( id_on_nat @ ( labele460410879_b_nat @ SV250 ) ) )
| ~ ~ ( ~ ~ ( ( SV250
!= ( restrict_b_nat @ SV250 ) )
| ( SV319
!= ( restrict_b_nat @ SV319 ) ) )
| ( ( graph_union_b_nat @ SV250 @ SV319 )
!= SV319 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1984]) ).
thf(2053,plain,
! [SV251: produc1478835367term_b] :
( ( SV251
!= ( produc1990145943term_b @ ( sK31_SY489 @ SV251 ) @ ( sK41_SY645 @ SV251 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[1985]) ).
thf(2054,plain,
! [SV320: produc1478835367term_b,SV253: produc1478835367term_b > $o] :
( ( ( SV253 @ ( produc1990145943term_b @ ( sK35_SY492 @ SV320 @ SV253 ) @ ( sK42_SY659 @ SV320 @ SV253 ) ) )
= $false )
| ( ( SV253 @ SV320 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1987]) ).
thf(2055,plain,
! [SV321: produc1478835367term_b,SV254: allegorical_term_b] :
( ( ( SV254
= ( produc854192515term_b @ SV321 ) )
= $false )
| ( ( ~ ( ( SV254
!= ( produc854192515term_b @ SV321 ) )
| ~ ~ ! [SY595: allegorical_term_b] :
( SV321
!= ( produc1990145943term_b @ SV254 @ SY595 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1988]) ).
thf(2056,plain,
! [SV254: allegorical_term_b,SV321: produc1478835367term_b] :
( ( ( ~ ! [SY595: allegorical_term_b] :
( SV321
!= ( produc1990145943term_b @ SV254 @ SY595 ) ) )
= $false )
| ( ( ~ ( ( SV254
!= ( produc854192515term_b @ SV321 ) )
| ~ ~ ! [SY595: allegorical_term_b] :
( SV321
!= ( produc1990145943term_b @ SV254 @ SY595 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1988]) ).
thf(2057,plain,
! [SV404: set_Pr1986765409at_nat,SV393: labeled_graph_b_nat,SV368: set_Pr1986765409at_nat,SV322: labeled_graph_b_nat,SV255: labeled_graph_b_nat] :
( ( ( ~ ( graph_529870330at_nat @ SV255 @ SV322 @ SV368 ) )
= $true )
| ( ( ~ ( graph_529870330at_nat @ SV322 @ SV393 @ SV404 )
| ( graph_529870330at_nat @ SV255 @ SV393 @ ( relcomp_nat_nat_nat @ SV368 @ SV404 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1989]) ).
thf(2058,plain,
! [SV323: produc1478835367term_b,SV256: allegorical_term_b] :
( ( ( SV256
= ( produc1223098053term_b @ SV323 ) )
= $false )
| ( ( ~ ( ( SV256
!= ( produc1223098053term_b @ SV323 ) )
| ~ ~ ! [SY599: allegorical_term_b] :
( SV323
!= ( produc1990145943term_b @ SY599 @ SV256 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1990]) ).
thf(2059,plain,
! [SV256: allegorical_term_b,SV323: produc1478835367term_b] :
( ( ( ~ ! [SY599: allegorical_term_b] :
( SV323
!= ( produc1990145943term_b @ SY599 @ SV256 ) ) )
= $false )
| ( ( ~ ( ( SV256
!= ( produc1223098053term_b @ SV323 ) )
| ~ ~ ! [SY599: allegorical_term_b] :
( SV323
!= ( produc1990145943term_b @ SY599 @ SV256 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1990]) ).
thf(2060,plain,
! [SV257: labeled_graph_b_nat,SV324: labeled_graph_b_nat] :
( ( ( SV324
= ( restrict_b_nat @ SV324 ) )
= $false )
| ( ( ( graph_union_b_nat @ SV257 @ SV324 )
= ( restrict_b_nat @ ( graph_union_b_nat @ SV257 @ SV324 ) ) )
= $true )
| ( ( SV257
= ( restrict_b_nat @ SV257 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1991]) ).
thf(2061,plain,
! [SV394: produc1478835367term_b,SV326: produc1478835367term_b] :
( ( ( ~ ( ( SV326 = SV394 )
| ~ ( ( ( produc854192515term_b @ SV326 )
!= ( produc854192515term_b @ SV394 ) )
| ( ( produc1223098053term_b @ SV326 )
!= ( produc1223098053term_b @ SV394 ) ) ) ) )
= $true )
| ( ( ~ ( ( SV326 != SV394 )
| ~ ~ ( ( ( produc854192515term_b @ SV326 )
!= ( produc854192515term_b @ SV394 ) )
| ( ( produc1223098053term_b @ SV326 )
!= ( produc1223098053term_b @ SV394 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1993]) ).
thf(2062,plain,
( ( ~ ( ~ ( graph_529870330at_nat @ ( produc1542243159_b_nat @ standa879863266rule_b ) @ ( produc194497945_b_nat @ standa879863266rule_b ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ standa879863266rule_b ) ) ) )
| ( ( produc194497945_b_nat @ standa879863266rule_b )
!= ( restrict_b_nat @ ( produc194497945_b_nat @ standa879863266rule_b ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1995]) ).
thf(2063,plain,
( ( finite_finite_nat @ ( labele460410879_b_nat @ ( produc194497945_b_nat @ standa879863266rule_b ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1996]) ).
thf(2064,plain,
! [SV328: produc1235635379_b_nat,SV261: produc1235635379_b_nat] :
( ( ( ( produc194497945_b_nat @ SV261 )
= ( produc194497945_b_nat @ SV328 ) )
= $false )
| ( ( SV261 = SV328 )
= $true )
| ( ( ( produc1542243159_b_nat @ SV261 )
= ( produc1542243159_b_nat @ SV328 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1998]) ).
thf(2065,plain,
! [SV331: set_Pr9961929at_nat,SV264: set_Pr9961929at_nat] :
( ( ( ~ ( finite1987068434at_nat @ SV264 ) )
= $false )
| ( ( ~ ( finite1987068434at_nat @ SV331 ) )
= $true )
| ( ( ord_le910748009at_nat @ SV264 @ SV331 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2000]) ).
thf(2066,plain,
! [SV395: allegorical_term_b,SV374: allegorical_term_b > $o,SV333: allegorical_term_b,SV266: allegorical_term_b > $o] :
( ( ( SV266 @ SV333 )
= $false )
| ( ( ~ ( SV374 @ SV395 )
| ~ ( ~ ( SV266 @ ( produc854192515term_b @ ( produc1990145943term_b @ SV333 @ SV395 ) ) )
| ~ ( SV374 @ ( produc1223098053term_b @ ( produc1990145943term_b @ SV333 @ SV395 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2002]) ).
thf(2067,plain,
! [SV269: labeled_graph_b_nat,SV377: labeled_graph_b_nat,SV336: labeled_graph_b_nat] :
( ( ( ~ ( graph_529870330at_nat @ SV336 @ SV377 @ ( id_on_nat @ ( labele460410879_b_nat @ SV336 ) ) ) )
= $true )
| ( ( graph_529870330at_nat @ SV269 @ SV377 @ ( id_on_nat @ ( labele460410879_b_nat @ SV269 ) ) )
= $true )
| ( ( graph_529870330at_nat @ SV269 @ SV336 @ ( id_on_nat @ ( labele460410879_b_nat @ SV269 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2005]) ).
thf(2068,plain,
! [SV337: produc1235635379_b_nat,SV270: produc1235635379_b_nat > $o] :
( ( ( SV270 @ ( produc951298923_b_nat @ ( sK36_SY526 @ SV337 @ SV270 ) @ ( sK43_SY660 @ SV337 @ SV270 ) ) )
= $false )
| ( ( SV270 @ SV337 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2006]) ).
thf(2069,plain,
! [SV396: labeled_graph_b_nat,SV378: labeled_graph_b_nat > $o,SV338: labeled_graph_b_nat,SV271: labeled_graph_b_nat > $o] :
( ( ( SV271 @ SV338 )
= $false )
| ( ( ~ ( SV378 @ SV396 )
| ~ ( ~ ( SV271 @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ SV338 @ SV396 ) ) )
| ~ ( SV378 @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ SV338 @ SV396 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2007]) ).
thf(2070,plain,
! [SV397: allegorical_term_b,SV379: allegorical_term_b,SV339: allegorical_term_b,SV272: allegorical_term_b] :
( ( ( ~ ( ( ( produc1990145943term_b @ SV272 @ SV339 )
= ( produc1990145943term_b @ SV379 @ SV397 ) )
| ~ ( ( SV272 != SV379 )
| ( SV339 != SV397 ) ) ) )
= $true )
| ( ( ~ ( ( ( produc1990145943term_b @ SV272 @ SV339 )
!= ( produc1990145943term_b @ SV379 @ SV397 ) )
| ~ ~ ( ( SV272 != SV379 )
| ( SV339 != SV397 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2008]) ).
thf(2071,plain,
! [SV341: produc1235635379_b_nat,SV274: produc1235635379_b_nat > $o] :
( ( ( SV274 @ ( produc951298923_b_nat @ ( sK37_SY536 @ SV341 @ SV274 ) @ ( sK44_SY661 @ SV341 @ SV274 ) ) )
= $false )
| ( ( SV274 @ SV341 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2010]) ).
thf(2072,plain,
! [SV398: allegorical_term_b,SV380: allegorical_term_b,SV342: allegorical_term_b,SV275: allegorical_term_b] :
( ( ( ( produc1990145943term_b @ SV275 @ SV342 )
= ( produc1990145943term_b @ SV380 @ SV398 ) )
= $false )
| ( ( ~ ( ( SV275 != SV380 )
| ( SV342 != SV398 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2011]) ).
thf(2073,plain,
! [SV276: set_Pr9961929at_nat,SV343: set_Pr9961929at_nat] :
( ( ( finite1987068434at_nat @ SV343 )
= $false )
| ( ( finite1987068434at_nat @ SV276 )
= $true )
| ( ( ord_le910748009at_nat @ SV276 @ SV343 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2012]) ).
thf(2074,plain,
! [SV344: produc1235635379_b_nat,SV277: labeled_graph_b_nat] :
( ( ( SV277
= ( produc194497945_b_nat @ SV344 ) )
= $false )
| ( ( ~ ( ( SV277
!= ( produc194497945_b_nat @ SV344 ) )
| ~ ~ ! [SY621: labeled_graph_b_nat] :
( SV344
!= ( produc951298923_b_nat @ SY621 @ SV277 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2013]) ).
thf(2075,plain,
! [SV277: labeled_graph_b_nat,SV344: produc1235635379_b_nat] :
( ( ( ~ ! [SY621: labeled_graph_b_nat] :
( SV344
!= ( produc951298923_b_nat @ SY621 @ SV277 ) ) )
= $false )
| ( ( ~ ( ( SV277
!= ( produc194497945_b_nat @ SV344 ) )
| ~ ~ ! [SY621: labeled_graph_b_nat] :
( SV344
!= ( produc951298923_b_nat @ SY621 @ SV277 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2013]) ).
thf(2076,plain,
! [SV399: produc1235635379_b_nat,SV381: labeled_graph_b_nat,SV345: labeled_graph_b_nat,SV278: labeled_graph_b_nat > labeled_graph_b_nat > $o] :
( ( ( SV278 @ SV345 @ SV381 )
= $false )
| ( ( ( SV399
!= ( produc951298923_b_nat @ SV345 @ SV381 ) )
| ( SV278 @ ( produc1542243159_b_nat @ SV399 ) @ ( produc194497945_b_nat @ SV399 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2014]) ).
thf(2077,plain,
! [SV346: produc1478835367term_b,SV280: allegorical_term_b > allegorical_term_b > $o] :
( ( ( ! [SY664: allegorical_term_b] :
~ ( SV280 @ SY664 @ ( sK45_SY548 @ SV346 @ SV280 ) ) )
= $false )
| ( ( SV280 @ ( produc1223098053term_b @ SV346 ) @ ( produc854192515term_b @ SV346 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2015]) ).
thf(2078,plain,
! [SV400: allegorical_term_b,SV382: allegorical_term_b,SV347: allegorical_term_b,SV281: allegorical_term_b] :
( ( ( ~ ( ( ( produc1990145943term_b @ SV281 @ SV347 )
= ( produc1990145943term_b @ SV382 @ SV400 ) )
| ~ ( ( SV281 != SV382 )
| ( SV347 != SV400 ) ) ) )
= $true )
| ( ( ~ ( ( ( produc1990145943term_b @ SV281 @ SV347 )
!= ( produc1990145943term_b @ SV382 @ SV400 ) )
| ~ ~ ( ( SV281 != SV382 )
| ( SV347 != SV400 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2016]) ).
thf(2079,plain,
! [SV401: allegorical_term_b,SV384: set_Pr1163220871term_b,SV349: allegorical_term_b,SV283: allegorical_term_b] :
( ( ( member516522448term_b @ ( produc1990145943term_b @ SV283 @ SV349 ) @ SV384 )
= $false )
| ( ( ( SV401 != SV349 )
| ( member516522448term_b @ ( produc1990145943term_b @ SV283 @ SV401 ) @ SV384 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2019]) ).
thf(2080,plain,
! [SV285: set_Pr9961929at_nat,SV351: set_Pr9961929at_nat] :
( ( ( ord_le910748009at_nat @ SV351 @ SV285 )
= $false )
| ( ( finite1987068434at_nat @ SV351 )
= $true )
| ( ( finite1987068434at_nat @ SV285 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2020]) ).
thf(2081,plain,
! [SV352: allegorical_term_b,SV286: allegorical_term_b] :
( ( ~ ~ ( ~ ( graph_529870330at_nat @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV286 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV286 @ SV352 ) ) ) ) @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV286 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV286 @ SV352 ) ) ) ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV286 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV286 @ SV352 ) ) ) ) ) ) )
| ( ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV286 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV286 @ SV352 ) ) ) )
!= ( restrict_b_nat @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV286 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV286 @ SV352 ) ) ) ) ) ) )
| ~ ( finite_finite_nat @ ( labele460410879_b_nat @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV286 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV286 @ SV352 ) ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2021]) ).
thf(2082,plain,
! [SV287: b] :
( ( ~ ~ ( ~ ( graph_529870330at_nat @ ( produc1542243159_b_nat @ ( standa1329480013rule_b @ SV287 ) ) @ ( produc194497945_b_nat @ ( standa1329480013rule_b @ SV287 ) ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ ( standa1329480013rule_b @ SV287 ) ) ) ) )
| ( ( produc194497945_b_nat @ ( standa1329480013rule_b @ SV287 ) )
!= ( restrict_b_nat @ ( produc194497945_b_nat @ ( standa1329480013rule_b @ SV287 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2023]) ).
thf(2083,plain,
! [SV287: b] :
( ( ~ ( finite_finite_nat @ ( labele460410879_b_nat @ ( produc194497945_b_nat @ ( standa1329480013rule_b @ SV287 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2023]) ).
thf(2084,plain,
! [SV402: labeled_graph_b_nat,SV385: labeled_graph_b_nat,SV353: labeled_graph_b_nat,SV288: labeled_graph_b_nat] :
( ( ( ~ ( ( ( produc951298923_b_nat @ SV288 @ SV353 )
= ( produc951298923_b_nat @ SV385 @ SV402 ) )
| ~ ( ( SV288 != SV385 )
| ( SV353 != SV402 ) ) ) )
= $true )
| ( ( ~ ( ( ( produc951298923_b_nat @ SV288 @ SV353 )
!= ( produc951298923_b_nat @ SV385 @ SV402 ) )
| ~ ~ ( ( SV288 != SV385 )
| ( SV353 != SV402 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2024]) ).
thf(2085,plain,
! [SV354: produc1478835367term_b,SV289: produc1478835367term_b > $o] :
( ( ( SV289 @ ( produc1990145943term_b @ ( sK38_SY565 @ SV354 @ SV289 ) @ ( sK46_SY662 @ SV354 @ SV289 ) ) )
= $false )
| ( ( SV289 @ SV354 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2026]) ).
thf(2086,plain,
! [SV355: produc1235635379_b_nat,SV290: labeled_graph_b_nat] :
( ( ( SV290
= ( produc1542243159_b_nat @ SV355 ) )
= $false )
| ( ( ~ ( ( SV290
!= ( produc1542243159_b_nat @ SV355 ) )
| ~ ~ ! [SY635: labeled_graph_b_nat] :
( SV355
!= ( produc951298923_b_nat @ SV290 @ SY635 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2027]) ).
thf(2087,plain,
! [SV290: labeled_graph_b_nat,SV355: produc1235635379_b_nat] :
( ( ( ~ ! [SY635: labeled_graph_b_nat] :
( SV355
!= ( produc951298923_b_nat @ SV290 @ SY635 ) ) )
= $false )
| ( ( ~ ( ( SV290
!= ( produc1542243159_b_nat @ SV355 ) )
| ~ ~ ! [SY635: labeled_graph_b_nat] :
( SV355
!= ( produc951298923_b_nat @ SV290 @ SY635 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2027]) ).
thf(2088,plain,
! [SV291: b] :
( ( ~ ~ ( ~ ( graph_529870330at_nat @ ( produc1542243159_b_nat @ ( standa1360217389rule_b @ SV291 ) ) @ ( produc194497945_b_nat @ ( standa1360217389rule_b @ SV291 ) ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ ( standa1360217389rule_b @ SV291 ) ) ) ) )
| ( ( produc194497945_b_nat @ ( standa1360217389rule_b @ SV291 ) )
!= ( restrict_b_nat @ ( produc194497945_b_nat @ ( standa1360217389rule_b @ SV291 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2028]) ).
thf(2089,plain,
! [SV291: b] :
( ( ~ ( finite_finite_nat @ ( labele460410879_b_nat @ ( produc194497945_b_nat @ ( standa1360217389rule_b @ SV291 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2028]) ).
thf(2090,plain,
! [SV292: set_nat,SV356: set_nat] :
( ( ( ord_less_eq_set_nat @ SV356 @ SV292 )
= $false )
| ( ( finite_finite_nat @ SV356 )
= $true )
| ( ( finite_finite_nat @ SV292 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2029]) ).
thf(2091,plain,
! [SV403: allegorical_term_b,SV386: allegorical_term_b,SV357: allegorical_term_b,SV293: allegorical_term_b] :
( ( ( ~ ( ( ( allegorical_A_Int_b @ SV293 @ SV357 )
= ( allegorical_A_Int_b @ SV386 @ SV403 ) )
| ~ ( ( SV293 != SV386 )
| ( SV357 != SV403 ) ) ) )
= $true )
| ( ( ~ ( ( ( allegorical_A_Int_b @ SV293 @ SV357 )
!= ( allegorical_A_Int_b @ SV386 @ SV403 ) )
| ~ ~ ( ( SV293 != SV386 )
| ( SV357 != SV403 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2030]) ).
thf(2092,plain,
! [SV205: labeled_graph_b_nat] :
( ( ( ~ ( graph_529870330at_nat @ SV205 @ SV205 @ ( id_on_nat @ ( labele460410879_b_nat @ SV205 ) ) ) )
= $false )
| ( ( graph_529870330at_nat @ SV205 @ SV205 @ ( id_on_nat @ ( labele460410879_b_nat @ SV205 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2033]) ).
thf(2093,plain,
! [SV205: labeled_graph_b_nat] :
( ( ( SV205
!= ( restrict_b_nat @ SV205 ) )
= $false )
| ( ( graph_529870330at_nat @ SV205 @ SV205 @ ( id_on_nat @ ( labele460410879_b_nat @ SV205 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2033]) ).
thf(2094,plain,
! [SV205: labeled_graph_b_nat] :
( ( ( ~ ( graph_529870330at_nat @ SV205 @ SV205 @ ( id_on_nat @ ( labele460410879_b_nat @ SV205 ) ) ) )
= $false )
| ( ( SV205
= ( restrict_b_nat @ SV205 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2034]) ).
thf(2095,plain,
! [SV205: labeled_graph_b_nat] :
( ( ( SV205
!= ( restrict_b_nat @ SV205 ) )
= $false )
| ( ( SV205
= ( restrict_b_nat @ SV205 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2034]) ).
thf(2096,plain,
! [SV206: labeled_graph_b_nat] :
( ( ( ~ ( graph_529870330at_nat @ SV206 @ ( restrict_b_nat @ SV206 ) @ ( id_on_nat @ ( labele460410879_b_nat @ SV206 ) ) ) )
= $false )
| ( ( graph_529870330at_nat @ SV206 @ ( restrict_b_nat @ SV206 ) @ ( id_on_nat @ ( labele460410879_b_nat @ SV206 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2035]) ).
thf(2097,plain,
! [SV206: labeled_graph_b_nat] :
( ( ( SV206
!= ( restrict_b_nat @ SV206 ) )
= $false )
| ( ( graph_529870330at_nat @ SV206 @ ( restrict_b_nat @ SV206 ) @ ( id_on_nat @ ( labele460410879_b_nat @ SV206 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2035]) ).
thf(2098,plain,
! [SV206: labeled_graph_b_nat] :
( ( ( ~ ( graph_529870330at_nat @ SV206 @ ( restrict_b_nat @ SV206 ) @ ( id_on_nat @ ( labele460410879_b_nat @ SV206 ) ) ) )
= $false )
| ( ( SV206
= ( restrict_b_nat @ SV206 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2036]) ).
thf(2099,plain,
! [SV206: labeled_graph_b_nat] :
( ( ( SV206
!= ( restrict_b_nat @ SV206 ) )
= $false )
| ( ( SV206
= ( restrict_b_nat @ SV206 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2036]) ).
thf(2100,plain,
! [SV358: set_Pr551076371_b_nat,SV230: labeled_graph_b_nat,SV302: labeled_graph_b_nat,SV387: labeled_graph_b_nat] :
( ( ( SV387 != SV302 )
= $true )
| ( ( member963855452_b_nat @ ( produc951298923_b_nat @ SV230 @ SV387 ) @ SV358 )
= $true )
| ( ( member963855452_b_nat @ ( produc951298923_b_nat @ SV230 @ SV302 ) @ SV358 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2037]) ).
thf(2101,plain,
! [SV388: labeled_graph_b_nat,SV359: labeled_graph_b_nat,SV303: labeled_graph_b_nat,SV231: labeled_graph_b_nat] :
( ( ( ( ( produc951298923_b_nat @ SV231 @ SV303 )
= ( produc951298923_b_nat @ SV359 @ SV388 ) )
| ~ ( ( SV231 != SV359 )
| ( SV303 != SV388 ) ) )
= $false )
| ( ( ~ ( ( ( produc951298923_b_nat @ SV231 @ SV303 )
!= ( produc951298923_b_nat @ SV359 @ SV388 ) )
| ~ ~ ( ( SV231 != SV359 )
| ( SV303 != SV388 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2038]) ).
thf(2102,plain,
! [SV305: produc1478835367term_b,SV234: produc1478835367term_b] :
( ( ( ( produc854192515term_b @ SV234 )
= ( produc854192515term_b @ SV305 ) )
= $false )
| ( ( ( produc1223098053term_b @ SV234 )
!= ( produc1223098053term_b @ SV305 ) )
= $true )
| ( ( SV234 = SV305 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2039]) ).
thf(2103,plain,
! [SV389: produc1235635379_b_nat,SV307: produc1235635379_b_nat] :
( ( ( ( SV307 = SV389 )
| ~ ( ( ( produc1542243159_b_nat @ SV307 )
!= ( produc1542243159_b_nat @ SV389 ) )
| ( ( produc194497945_b_nat @ SV307 )
!= ( produc194497945_b_nat @ SV389 ) ) ) )
= $false )
| ( ( ~ ( ( SV307 != SV389 )
| ~ ~ ( ( ( produc1542243159_b_nat @ SV307 )
!= ( produc1542243159_b_nat @ SV389 ) )
| ( ( produc194497945_b_nat @ SV307 )
!= ( produc194497945_b_nat @ SV389 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2040]) ).
thf(2104,plain,
! [SV309: set_nat,SV238: set_nat] :
( ( ( finite_finite_nat @ SV238 )
= $true )
| ( ( ~ ( finite_finite_nat @ SV309 ) )
= $true )
| ( ( ord_less_eq_set_nat @ SV238 @ SV309 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2041]) ).
thf(2105,plain,
! [SV311: labeled_graph_b_nat,SV390: set_Pr1986765409at_nat,SV240: labeled_graph_b_nat,SV364: labeled_graph_b_nat] :
( ( ( ~ ( graph_529870330at_nat @ SV364 @ SV240 @ SV390 ) )
= $true )
| ( ( graph_529870330at_nat @ SV364 @ SV311 @ SV390 )
= $true )
| ( ( graph_529870330at_nat @ SV240 @ SV311 @ ( id_on_nat @ ( labele460410879_b_nat @ SV240 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2043]) ).
thf(2106,plain,
! [SV312: labeled_graph_b_nat,SV241: labeled_graph_b_nat] :
( ( ( ( labeled_edges_b_nat @ SV241 )
= ( labeled_edges_b_nat @ SV312 ) )
= $false )
| ( ( ( labele460410879_b_nat @ SV241 )
!= ( labele460410879_b_nat @ SV312 ) )
= $true )
| ( ( SV241 = SV312 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2044]) ).
thf(2107,plain,
! [SV243: produc1235635379_b_nat] :
( ( SV243
= ( produc951298923_b_nat @ ( sK30_SY475 @ SV243 ) @ ( sK39_SY642 @ SV243 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2045]) ).
thf(2108,plain,
! [SV314: produc1235635379_b_nat,SV245: produc1235635379_b_nat] :
( ( ( ( produc1542243159_b_nat @ SV245 )
= ( produc1542243159_b_nat @ SV314 ) )
= $false )
| ( ( ( produc194497945_b_nat @ SV245 )
!= ( produc194497945_b_nat @ SV314 ) )
= $true )
| ( ( SV245 = SV314 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2046]) ).
thf(2109,plain,
! [SV391: labeled_graph_b_nat,SV316: labeled_graph_b_nat,SV366: labeled_graph_b_nat,SV247: labeled_graph_b_nat] :
( ( ( ( SV247 != SV366 )
| ( SV316 != SV391 ) )
= $false )
| ( ( ( produc951298923_b_nat @ SV247 @ SV316 )
= ( produc951298923_b_nat @ SV366 @ SV391 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2048]) ).
thf(2110,plain,
! [SV248: allegorical_term_b > allegorical_term_b > $o,SV367: allegorical_term_b,SV317: allegorical_term_b,SV392: produc1478835367term_b] :
( ( ( SV392
!= ( produc1990145943term_b @ SV317 @ SV367 ) )
= $true )
| ( ( SV248 @ ( produc854192515term_b @ SV392 ) @ ( produc1223098053term_b @ SV392 ) )
= $true )
| ( ( SV248 @ SV317 @ SV367 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2049]) ).
thf(2111,plain,
! [SV318: produc1235635379_b_nat,SV249: labeled_graph_b_nat > labeled_graph_b_nat > $o] :
( ( ( ~ ( SV249 @ ( sK47_SY663 @ SV318 @ SV249 ) @ ( sK40_SY486 @ SV318 @ SV249 ) ) )
= $false )
| ( ( SV249 @ ( produc194497945_b_nat @ SV318 ) @ ( produc1542243159_b_nat @ SV318 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2050]) ).
thf(2112,plain,
! [SV319: labeled_graph_b_nat,SV250: labeled_graph_b_nat] :
( ( ( ~ ( graph_529870330at_nat @ SV250 @ SV319 @ ( id_on_nat @ ( labele460410879_b_nat @ SV250 ) ) )
| ~ ~ ( ~ ~ ( ( SV250
!= ( restrict_b_nat @ SV250 ) )
| ( SV319
!= ( restrict_b_nat @ SV319 ) ) )
| ( ( graph_union_b_nat @ SV250 @ SV319 )
!= SV319 ) ) )
= $false )
| ( ( graph_529870330at_nat @ SV250 @ SV319 @ ( id_on_nat @ ( labele460410879_b_nat @ SV250 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2051]) ).
thf(2113,plain,
! [SV319: labeled_graph_b_nat,SV250: labeled_graph_b_nat] :
( ( ( ~ ~ ( ( SV250
!= ( restrict_b_nat @ SV250 ) )
| ( SV319
!= ( restrict_b_nat @ SV319 ) ) )
| ( ( graph_union_b_nat @ SV250 @ SV319 )
!= SV319 ) )
= $true )
| ( ( ~ ( ~ ( graph_529870330at_nat @ SV250 @ SV319 @ ( id_on_nat @ ( labele460410879_b_nat @ SV250 ) ) )
| ~ ~ ( ~ ~ ( ( SV250
!= ( restrict_b_nat @ SV250 ) )
| ( SV319
!= ( restrict_b_nat @ SV319 ) ) )
| ( ( graph_union_b_nat @ SV250 @ SV319 )
!= SV319 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2052]) ).
thf(2114,plain,
! [SV251: produc1478835367term_b] :
( ( SV251
= ( produc1990145943term_b @ ( sK31_SY489 @ SV251 ) @ ( sK41_SY645 @ SV251 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2053]) ).
thf(2115,plain,
! [SV321: produc1478835367term_b,SV254: allegorical_term_b] :
( ( ( ( SV254
!= ( produc854192515term_b @ SV321 ) )
| ~ ~ ! [SY595: allegorical_term_b] :
( SV321
!= ( produc1990145943term_b @ SV254 @ SY595 ) ) )
= $false )
| ( ( SV254
= ( produc854192515term_b @ SV321 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2055]) ).
thf(2116,plain,
! [SV254: allegorical_term_b,SV321: produc1478835367term_b] :
( ( ( ! [SY595: allegorical_term_b] :
( SV321
!= ( produc1990145943term_b @ SV254 @ SY595 ) ) )
= $true )
| ( ( ~ ( ( SV254
!= ( produc854192515term_b @ SV321 ) )
| ~ ~ ! [SY595: allegorical_term_b] :
( SV321
!= ( produc1990145943term_b @ SV254 @ SY595 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2056]) ).
thf(2117,plain,
! [SV404: set_Pr1986765409at_nat,SV393: labeled_graph_b_nat,SV368: set_Pr1986765409at_nat,SV322: labeled_graph_b_nat,SV255: labeled_graph_b_nat] :
( ( ( graph_529870330at_nat @ SV255 @ SV322 @ SV368 )
= $false )
| ( ( ~ ( graph_529870330at_nat @ SV322 @ SV393 @ SV404 )
| ( graph_529870330at_nat @ SV255 @ SV393 @ ( relcomp_nat_nat_nat @ SV368 @ SV404 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2057]) ).
thf(2118,plain,
! [SV323: produc1478835367term_b,SV256: allegorical_term_b] :
( ( ( ( SV256
!= ( produc1223098053term_b @ SV323 ) )
| ~ ~ ! [SY599: allegorical_term_b] :
( SV323
!= ( produc1990145943term_b @ SY599 @ SV256 ) ) )
= $false )
| ( ( SV256
= ( produc1223098053term_b @ SV323 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2058]) ).
thf(2119,plain,
! [SV256: allegorical_term_b,SV323: produc1478835367term_b] :
( ( ( ! [SY599: allegorical_term_b] :
( SV323
!= ( produc1990145943term_b @ SY599 @ SV256 ) ) )
= $true )
| ( ( ~ ( ( SV256
!= ( produc1223098053term_b @ SV323 ) )
| ~ ~ ! [SY599: allegorical_term_b] :
( SV323
!= ( produc1990145943term_b @ SY599 @ SV256 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2059]) ).
thf(2120,plain,
! [SV394: produc1478835367term_b,SV326: produc1478835367term_b] :
( ( ( ( SV326 = SV394 )
| ~ ( ( ( produc854192515term_b @ SV326 )
!= ( produc854192515term_b @ SV394 ) )
| ( ( produc1223098053term_b @ SV326 )
!= ( produc1223098053term_b @ SV394 ) ) ) )
= $false )
| ( ( ~ ( ( SV326 != SV394 )
| ~ ~ ( ( ( produc854192515term_b @ SV326 )
!= ( produc854192515term_b @ SV394 ) )
| ( ( produc1223098053term_b @ SV326 )
!= ( produc1223098053term_b @ SV394 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2061]) ).
thf(2121,plain,
( ( ~ ( graph_529870330at_nat @ ( produc1542243159_b_nat @ standa879863266rule_b ) @ ( produc194497945_b_nat @ standa879863266rule_b ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ standa879863266rule_b ) ) ) )
| ( ( produc194497945_b_nat @ standa879863266rule_b )
!= ( restrict_b_nat @ ( produc194497945_b_nat @ standa879863266rule_b ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2062]) ).
thf(2122,plain,
! [SV331: set_Pr9961929at_nat,SV264: set_Pr9961929at_nat] :
( ( ( finite1987068434at_nat @ SV264 )
= $true )
| ( ( ~ ( finite1987068434at_nat @ SV331 ) )
= $true )
| ( ( ord_le910748009at_nat @ SV264 @ SV331 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2065]) ).
thf(2123,plain,
! [SV333: allegorical_term_b,SV266: allegorical_term_b > $o,SV395: allegorical_term_b,SV374: allegorical_term_b > $o] :
( ( ( ~ ( SV374 @ SV395 ) )
= $true )
| ( ( ~ ( ~ ( SV266 @ ( produc854192515term_b @ ( produc1990145943term_b @ SV333 @ SV395 ) ) )
| ~ ( SV374 @ ( produc1223098053term_b @ ( produc1990145943term_b @ SV333 @ SV395 ) ) ) ) )
= $true )
| ( ( SV266 @ SV333 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2066]) ).
thf(2124,plain,
! [SV269: labeled_graph_b_nat,SV377: labeled_graph_b_nat,SV336: labeled_graph_b_nat] :
( ( ( graph_529870330at_nat @ SV336 @ SV377 @ ( id_on_nat @ ( labele460410879_b_nat @ SV336 ) ) )
= $false )
| ( ( graph_529870330at_nat @ SV269 @ SV377 @ ( id_on_nat @ ( labele460410879_b_nat @ SV269 ) ) )
= $true )
| ( ( graph_529870330at_nat @ SV269 @ SV336 @ ( id_on_nat @ ( labele460410879_b_nat @ SV269 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2067]) ).
thf(2125,plain,
! [SV338: labeled_graph_b_nat,SV271: labeled_graph_b_nat > $o,SV396: labeled_graph_b_nat,SV378: labeled_graph_b_nat > $o] :
( ( ( ~ ( SV378 @ SV396 ) )
= $true )
| ( ( ~ ( ~ ( SV271 @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ SV338 @ SV396 ) ) )
| ~ ( SV378 @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ SV338 @ SV396 ) ) ) ) )
= $true )
| ( ( SV271 @ SV338 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2069]) ).
thf(2126,plain,
! [SV397: allegorical_term_b,SV379: allegorical_term_b,SV339: allegorical_term_b,SV272: allegorical_term_b] :
( ( ( ( ( produc1990145943term_b @ SV272 @ SV339 )
= ( produc1990145943term_b @ SV379 @ SV397 ) )
| ~ ( ( SV272 != SV379 )
| ( SV339 != SV397 ) ) )
= $false )
| ( ( ~ ( ( ( produc1990145943term_b @ SV272 @ SV339 )
!= ( produc1990145943term_b @ SV379 @ SV397 ) )
| ~ ~ ( ( SV272 != SV379 )
| ( SV339 != SV397 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2070]) ).
thf(2127,plain,
! [SV398: allegorical_term_b,SV342: allegorical_term_b,SV380: allegorical_term_b,SV275: allegorical_term_b] :
( ( ( ( SV275 != SV380 )
| ( SV342 != SV398 ) )
= $false )
| ( ( ( produc1990145943term_b @ SV275 @ SV342 )
= ( produc1990145943term_b @ SV380 @ SV398 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2072]) ).
thf(2128,plain,
! [SV344: produc1235635379_b_nat,SV277: labeled_graph_b_nat] :
( ( ( ( SV277
!= ( produc194497945_b_nat @ SV344 ) )
| ~ ~ ! [SY621: labeled_graph_b_nat] :
( SV344
!= ( produc951298923_b_nat @ SY621 @ SV277 ) ) )
= $false )
| ( ( SV277
= ( produc194497945_b_nat @ SV344 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2074]) ).
thf(2129,plain,
! [SV277: labeled_graph_b_nat,SV344: produc1235635379_b_nat] :
( ( ( ! [SY621: labeled_graph_b_nat] :
( SV344
!= ( produc951298923_b_nat @ SY621 @ SV277 ) ) )
= $true )
| ( ( ~ ( ( SV277
!= ( produc194497945_b_nat @ SV344 ) )
| ~ ~ ! [SY621: labeled_graph_b_nat] :
( SV344
!= ( produc951298923_b_nat @ SY621 @ SV277 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2075]) ).
thf(2130,plain,
! [SV278: labeled_graph_b_nat > labeled_graph_b_nat > $o,SV381: labeled_graph_b_nat,SV345: labeled_graph_b_nat,SV399: produc1235635379_b_nat] :
( ( ( SV399
!= ( produc951298923_b_nat @ SV345 @ SV381 ) )
= $true )
| ( ( SV278 @ ( produc1542243159_b_nat @ SV399 ) @ ( produc194497945_b_nat @ SV399 ) )
= $true )
| ( ( SV278 @ SV345 @ SV381 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2076]) ).
thf(2131,plain,
! [SV346: produc1478835367term_b,SV280: allegorical_term_b > allegorical_term_b > $o] :
( ( ( ~ ( SV280 @ ( sK48_SY664 @ SV346 @ SV280 ) @ ( sK45_SY548 @ SV346 @ SV280 ) ) )
= $false )
| ( ( SV280 @ ( produc1223098053term_b @ SV346 ) @ ( produc854192515term_b @ SV346 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2077]) ).
thf(2132,plain,
! [SV400: allegorical_term_b,SV382: allegorical_term_b,SV347: allegorical_term_b,SV281: allegorical_term_b] :
( ( ( ( ( produc1990145943term_b @ SV281 @ SV347 )
= ( produc1990145943term_b @ SV382 @ SV400 ) )
| ~ ( ( SV281 != SV382 )
| ( SV347 != SV400 ) ) )
= $false )
| ( ( ~ ( ( ( produc1990145943term_b @ SV281 @ SV347 )
!= ( produc1990145943term_b @ SV382 @ SV400 ) )
| ~ ~ ( ( SV281 != SV382 )
| ( SV347 != SV400 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2078]) ).
thf(2133,plain,
! [SV384: set_Pr1163220871term_b,SV283: allegorical_term_b,SV349: allegorical_term_b,SV401: allegorical_term_b] :
( ( ( SV401 != SV349 )
= $true )
| ( ( member516522448term_b @ ( produc1990145943term_b @ SV283 @ SV401 ) @ SV384 )
= $true )
| ( ( member516522448term_b @ ( produc1990145943term_b @ SV283 @ SV349 ) @ SV384 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2079]) ).
thf(2134,plain,
! [SV352: allegorical_term_b,SV286: allegorical_term_b] :
( ( ~ ~ ( ~ ( graph_529870330at_nat @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV286 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV286 @ SV352 ) ) ) ) @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV286 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV286 @ SV352 ) ) ) ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV286 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV286 @ SV352 ) ) ) ) ) ) )
| ( ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV286 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV286 @ SV352 ) ) ) )
!= ( restrict_b_nat @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV286 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV286 @ SV352 ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2081]) ).
thf(2135,plain,
! [SV352: allegorical_term_b,SV286: allegorical_term_b] :
( ( ~ ( finite_finite_nat @ ( labele460410879_b_nat @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV286 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV286 @ SV352 ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2081]) ).
thf(2136,plain,
! [SV287: b] :
( ( ~ ( ~ ( graph_529870330at_nat @ ( produc1542243159_b_nat @ ( standa1329480013rule_b @ SV287 ) ) @ ( produc194497945_b_nat @ ( standa1329480013rule_b @ SV287 ) ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ ( standa1329480013rule_b @ SV287 ) ) ) ) )
| ( ( produc194497945_b_nat @ ( standa1329480013rule_b @ SV287 ) )
!= ( restrict_b_nat @ ( produc194497945_b_nat @ ( standa1329480013rule_b @ SV287 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2082]) ).
thf(2137,plain,
! [SV287: b] :
( ( finite_finite_nat @ ( labele460410879_b_nat @ ( produc194497945_b_nat @ ( standa1329480013rule_b @ SV287 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2083]) ).
thf(2138,plain,
! [SV402: labeled_graph_b_nat,SV385: labeled_graph_b_nat,SV353: labeled_graph_b_nat,SV288: labeled_graph_b_nat] :
( ( ( ( ( produc951298923_b_nat @ SV288 @ SV353 )
= ( produc951298923_b_nat @ SV385 @ SV402 ) )
| ~ ( ( SV288 != SV385 )
| ( SV353 != SV402 ) ) )
= $false )
| ( ( ~ ( ( ( produc951298923_b_nat @ SV288 @ SV353 )
!= ( produc951298923_b_nat @ SV385 @ SV402 ) )
| ~ ~ ( ( SV288 != SV385 )
| ( SV353 != SV402 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2084]) ).
thf(2139,plain,
! [SV355: produc1235635379_b_nat,SV290: labeled_graph_b_nat] :
( ( ( ( SV290
!= ( produc1542243159_b_nat @ SV355 ) )
| ~ ~ ! [SY635: labeled_graph_b_nat] :
( SV355
!= ( produc951298923_b_nat @ SV290 @ SY635 ) ) )
= $false )
| ( ( SV290
= ( produc1542243159_b_nat @ SV355 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2086]) ).
thf(2140,plain,
! [SV290: labeled_graph_b_nat,SV355: produc1235635379_b_nat] :
( ( ( ! [SY635: labeled_graph_b_nat] :
( SV355
!= ( produc951298923_b_nat @ SV290 @ SY635 ) ) )
= $true )
| ( ( ~ ( ( SV290
!= ( produc1542243159_b_nat @ SV355 ) )
| ~ ~ ! [SY635: labeled_graph_b_nat] :
( SV355
!= ( produc951298923_b_nat @ SV290 @ SY635 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2087]) ).
thf(2141,plain,
! [SV291: b] :
( ( ~ ( ~ ( graph_529870330at_nat @ ( produc1542243159_b_nat @ ( standa1360217389rule_b @ SV291 ) ) @ ( produc194497945_b_nat @ ( standa1360217389rule_b @ SV291 ) ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ ( standa1360217389rule_b @ SV291 ) ) ) ) )
| ( ( produc194497945_b_nat @ ( standa1360217389rule_b @ SV291 ) )
!= ( restrict_b_nat @ ( produc194497945_b_nat @ ( standa1360217389rule_b @ SV291 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2088]) ).
thf(2142,plain,
! [SV291: b] :
( ( finite_finite_nat @ ( labele460410879_b_nat @ ( produc194497945_b_nat @ ( standa1360217389rule_b @ SV291 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2089]) ).
thf(2143,plain,
! [SV403: allegorical_term_b,SV386: allegorical_term_b,SV357: allegorical_term_b,SV293: allegorical_term_b] :
( ( ( ( ( allegorical_A_Int_b @ SV293 @ SV357 )
= ( allegorical_A_Int_b @ SV386 @ SV403 ) )
| ~ ( ( SV293 != SV386 )
| ( SV357 != SV403 ) ) )
= $false )
| ( ( ~ ( ( ( allegorical_A_Int_b @ SV293 @ SV357 )
!= ( allegorical_A_Int_b @ SV386 @ SV403 ) )
| ~ ~ ( ( SV293 != SV386 )
| ( SV357 != SV403 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2091]) ).
thf(2144,plain,
! [SV205: labeled_graph_b_nat] :
( ( ( graph_529870330at_nat @ SV205 @ SV205 @ ( id_on_nat @ ( labele460410879_b_nat @ SV205 ) ) )
= $true )
| ( ( graph_529870330at_nat @ SV205 @ SV205 @ ( id_on_nat @ ( labele460410879_b_nat @ SV205 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2092]) ).
thf(2145,plain,
! [SV205: labeled_graph_b_nat] :
( ( ( SV205
= ( restrict_b_nat @ SV205 ) )
= $true )
| ( ( graph_529870330at_nat @ SV205 @ SV205 @ ( id_on_nat @ ( labele460410879_b_nat @ SV205 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2093]) ).
thf(2146,plain,
! [SV205: labeled_graph_b_nat] :
( ( ( graph_529870330at_nat @ SV205 @ SV205 @ ( id_on_nat @ ( labele460410879_b_nat @ SV205 ) ) )
= $true )
| ( ( SV205
= ( restrict_b_nat @ SV205 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2094]) ).
thf(2147,plain,
! [SV205: labeled_graph_b_nat] :
( ( ( SV205
= ( restrict_b_nat @ SV205 ) )
= $true )
| ( ( SV205
= ( restrict_b_nat @ SV205 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2095]) ).
thf(2148,plain,
! [SV206: labeled_graph_b_nat] :
( ( ( graph_529870330at_nat @ SV206 @ ( restrict_b_nat @ SV206 ) @ ( id_on_nat @ ( labele460410879_b_nat @ SV206 ) ) )
= $true )
| ( ( graph_529870330at_nat @ SV206 @ ( restrict_b_nat @ SV206 ) @ ( id_on_nat @ ( labele460410879_b_nat @ SV206 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2096]) ).
thf(2149,plain,
! [SV206: labeled_graph_b_nat] :
( ( ( SV206
= ( restrict_b_nat @ SV206 ) )
= $true )
| ( ( graph_529870330at_nat @ SV206 @ ( restrict_b_nat @ SV206 ) @ ( id_on_nat @ ( labele460410879_b_nat @ SV206 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2097]) ).
thf(2150,plain,
! [SV206: labeled_graph_b_nat] :
( ( ( graph_529870330at_nat @ SV206 @ ( restrict_b_nat @ SV206 ) @ ( id_on_nat @ ( labele460410879_b_nat @ SV206 ) ) )
= $true )
| ( ( SV206
= ( restrict_b_nat @ SV206 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2098]) ).
thf(2151,plain,
! [SV206: labeled_graph_b_nat] :
( ( ( SV206
= ( restrict_b_nat @ SV206 ) )
= $true )
| ( ( SV206
= ( restrict_b_nat @ SV206 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2099]) ).
thf(2152,plain,
! [SV358: set_Pr551076371_b_nat,SV230: labeled_graph_b_nat,SV302: labeled_graph_b_nat,SV387: labeled_graph_b_nat] :
( ( ( SV387 = SV302 )
= $false )
| ( ( member963855452_b_nat @ ( produc951298923_b_nat @ SV230 @ SV387 ) @ SV358 )
= $true )
| ( ( member963855452_b_nat @ ( produc951298923_b_nat @ SV230 @ SV302 ) @ SV358 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2100]) ).
thf(2153,plain,
! [SV388: labeled_graph_b_nat,SV359: labeled_graph_b_nat,SV303: labeled_graph_b_nat,SV231: labeled_graph_b_nat] :
( ( ( ( produc951298923_b_nat @ SV231 @ SV303 )
= ( produc951298923_b_nat @ SV359 @ SV388 ) )
= $false )
| ( ( ~ ( ( ( produc951298923_b_nat @ SV231 @ SV303 )
!= ( produc951298923_b_nat @ SV359 @ SV388 ) )
| ~ ~ ( ( SV231 != SV359 )
| ( SV303 != SV388 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2101]) ).
thf(2154,plain,
! [SV388: labeled_graph_b_nat,SV303: labeled_graph_b_nat,SV359: labeled_graph_b_nat,SV231: labeled_graph_b_nat] :
( ( ( ~ ( ( SV231 != SV359 )
| ( SV303 != SV388 ) ) )
= $false )
| ( ( ~ ( ( ( produc951298923_b_nat @ SV231 @ SV303 )
!= ( produc951298923_b_nat @ SV359 @ SV388 ) )
| ~ ~ ( ( SV231 != SV359 )
| ( SV303 != SV388 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2101]) ).
thf(2155,plain,
! [SV305: produc1478835367term_b,SV234: produc1478835367term_b] :
( ( ( ( produc1223098053term_b @ SV234 )
= ( produc1223098053term_b @ SV305 ) )
= $false )
| ( ( ( produc854192515term_b @ SV234 )
= ( produc854192515term_b @ SV305 ) )
= $false )
| ( ( SV234 = SV305 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2102]) ).
thf(2156,plain,
! [SV389: produc1235635379_b_nat,SV307: produc1235635379_b_nat] :
( ( ( SV307 = SV389 )
= $false )
| ( ( ~ ( ( SV307 != SV389 )
| ~ ~ ( ( ( produc1542243159_b_nat @ SV307 )
!= ( produc1542243159_b_nat @ SV389 ) )
| ( ( produc194497945_b_nat @ SV307 )
!= ( produc194497945_b_nat @ SV389 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2103]) ).
thf(2157,plain,
! [SV389: produc1235635379_b_nat,SV307: produc1235635379_b_nat] :
( ( ( ~ ( ( ( produc1542243159_b_nat @ SV307 )
!= ( produc1542243159_b_nat @ SV389 ) )
| ( ( produc194497945_b_nat @ SV307 )
!= ( produc194497945_b_nat @ SV389 ) ) ) )
= $false )
| ( ( ~ ( ( SV307 != SV389 )
| ~ ~ ( ( ( produc1542243159_b_nat @ SV307 )
!= ( produc1542243159_b_nat @ SV389 ) )
| ( ( produc194497945_b_nat @ SV307 )
!= ( produc194497945_b_nat @ SV389 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2103]) ).
thf(2158,plain,
! [SV238: set_nat,SV309: set_nat] :
( ( ( finite_finite_nat @ SV309 )
= $false )
| ( ( finite_finite_nat @ SV238 )
= $true )
| ( ( ord_less_eq_set_nat @ SV238 @ SV309 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2104]) ).
thf(2159,plain,
! [SV311: labeled_graph_b_nat,SV390: set_Pr1986765409at_nat,SV240: labeled_graph_b_nat,SV364: labeled_graph_b_nat] :
( ( ( graph_529870330at_nat @ SV364 @ SV240 @ SV390 )
= $false )
| ( ( graph_529870330at_nat @ SV364 @ SV311 @ SV390 )
= $true )
| ( ( graph_529870330at_nat @ SV240 @ SV311 @ ( id_on_nat @ ( labele460410879_b_nat @ SV240 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2105]) ).
thf(2160,plain,
! [SV312: labeled_graph_b_nat,SV241: labeled_graph_b_nat] :
( ( ( ( labele460410879_b_nat @ SV241 )
= ( labele460410879_b_nat @ SV312 ) )
= $false )
| ( ( ( labeled_edges_b_nat @ SV241 )
= ( labeled_edges_b_nat @ SV312 ) )
= $false )
| ( ( SV241 = SV312 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2106]) ).
thf(2161,plain,
! [SV314: produc1235635379_b_nat,SV245: produc1235635379_b_nat] :
( ( ( ( produc194497945_b_nat @ SV245 )
= ( produc194497945_b_nat @ SV314 ) )
= $false )
| ( ( ( produc1542243159_b_nat @ SV245 )
= ( produc1542243159_b_nat @ SV314 ) )
= $false )
| ( ( SV245 = SV314 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2108]) ).
thf(2162,plain,
! [SV391: labeled_graph_b_nat,SV316: labeled_graph_b_nat,SV366: labeled_graph_b_nat,SV247: labeled_graph_b_nat] :
( ( ( SV247 != SV366 )
= $false )
| ( ( ( produc951298923_b_nat @ SV247 @ SV316 )
= ( produc951298923_b_nat @ SV366 @ SV391 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2109]) ).
thf(2163,plain,
! [SV366: labeled_graph_b_nat,SV247: labeled_graph_b_nat,SV391: labeled_graph_b_nat,SV316: labeled_graph_b_nat] :
( ( ( SV316 != SV391 )
= $false )
| ( ( ( produc951298923_b_nat @ SV247 @ SV316 )
= ( produc951298923_b_nat @ SV366 @ SV391 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2109]) ).
thf(2164,plain,
! [SV248: allegorical_term_b > allegorical_term_b > $o,SV367: allegorical_term_b,SV317: allegorical_term_b,SV392: produc1478835367term_b] :
( ( ( SV392
= ( produc1990145943term_b @ SV317 @ SV367 ) )
= $false )
| ( ( SV248 @ ( produc854192515term_b @ SV392 ) @ ( produc1223098053term_b @ SV392 ) )
= $true )
| ( ( SV248 @ SV317 @ SV367 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2110]) ).
thf(2165,plain,
! [SV318: produc1235635379_b_nat,SV249: labeled_graph_b_nat > labeled_graph_b_nat > $o] :
( ( ( SV249 @ ( sK47_SY663 @ SV318 @ SV249 ) @ ( sK40_SY486 @ SV318 @ SV249 ) )
= $true )
| ( ( SV249 @ ( produc194497945_b_nat @ SV318 ) @ ( produc1542243159_b_nat @ SV318 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2111]) ).
thf(2166,plain,
! [SV319: labeled_graph_b_nat,SV250: labeled_graph_b_nat] :
( ( ( ~ ( graph_529870330at_nat @ SV250 @ SV319 @ ( id_on_nat @ ( labele460410879_b_nat @ SV250 ) ) ) )
= $false )
| ( ( graph_529870330at_nat @ SV250 @ SV319 @ ( id_on_nat @ ( labele460410879_b_nat @ SV250 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2112]) ).
thf(2167,plain,
! [SV319: labeled_graph_b_nat,SV250: labeled_graph_b_nat] :
( ( ( ~ ~ ( ~ ~ ( ( SV250
!= ( restrict_b_nat @ SV250 ) )
| ( SV319
!= ( restrict_b_nat @ SV319 ) ) )
| ( ( graph_union_b_nat @ SV250 @ SV319 )
!= SV319 ) ) )
= $false )
| ( ( graph_529870330at_nat @ SV250 @ SV319 @ ( id_on_nat @ ( labele460410879_b_nat @ SV250 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2112]) ).
thf(2168,plain,
! [SV319: labeled_graph_b_nat,SV250: labeled_graph_b_nat] :
( ( ( ~ ~ ( ( SV250
!= ( restrict_b_nat @ SV250 ) )
| ( SV319
!= ( restrict_b_nat @ SV319 ) ) ) )
= $true )
| ( ( ( graph_union_b_nat @ SV250 @ SV319 )
!= SV319 )
= $true )
| ( ( ~ ( ~ ( graph_529870330at_nat @ SV250 @ SV319 @ ( id_on_nat @ ( labele460410879_b_nat @ SV250 ) ) )
| ~ ~ ( ~ ~ ( ( SV250
!= ( restrict_b_nat @ SV250 ) )
| ( SV319
!= ( restrict_b_nat @ SV319 ) ) )
| ( ( graph_union_b_nat @ SV250 @ SV319 )
!= SV319 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2113]) ).
thf(2169,plain,
! [SV321: produc1478835367term_b,SV254: allegorical_term_b] :
( ( ( SV254
!= ( produc854192515term_b @ SV321 ) )
= $false )
| ( ( SV254
= ( produc854192515term_b @ SV321 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2115]) ).
thf(2170,plain,
! [SV254: allegorical_term_b,SV321: produc1478835367term_b] :
( ( ( ~ ~ ! [SY595: allegorical_term_b] :
( SV321
!= ( produc1990145943term_b @ SV254 @ SY595 ) ) )
= $false )
| ( ( SV254
= ( produc854192515term_b @ SV321 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2115]) ).
thf(2171,plain,
! [SV405: allegorical_term_b,SV254: allegorical_term_b,SV321: produc1478835367term_b] :
( ( ( SV321
!= ( produc1990145943term_b @ SV254 @ SV405 ) )
= $true )
| ( ( ~ ( ( SV254
!= ( produc854192515term_b @ SV321 ) )
| ~ ~ ! [SY595: allegorical_term_b] :
( SV321
!= ( produc1990145943term_b @ SV254 @ SY595 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2116]) ).
thf(2172,plain,
! [SV368: set_Pr1986765409at_nat,SV255: labeled_graph_b_nat,SV404: set_Pr1986765409at_nat,SV393: labeled_graph_b_nat,SV322: labeled_graph_b_nat] :
( ( ( ~ ( graph_529870330at_nat @ SV322 @ SV393 @ SV404 ) )
= $true )
| ( ( graph_529870330at_nat @ SV255 @ SV393 @ ( relcomp_nat_nat_nat @ SV368 @ SV404 ) )
= $true )
| ( ( graph_529870330at_nat @ SV255 @ SV322 @ SV368 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2117]) ).
thf(2173,plain,
! [SV323: produc1478835367term_b,SV256: allegorical_term_b] :
( ( ( SV256
!= ( produc1223098053term_b @ SV323 ) )
= $false )
| ( ( SV256
= ( produc1223098053term_b @ SV323 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2118]) ).
thf(2174,plain,
! [SV256: allegorical_term_b,SV323: produc1478835367term_b] :
( ( ( ~ ~ ! [SY599: allegorical_term_b] :
( SV323
!= ( produc1990145943term_b @ SY599 @ SV256 ) ) )
= $false )
| ( ( SV256
= ( produc1223098053term_b @ SV323 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2118]) ).
thf(2175,plain,
! [SV256: allegorical_term_b,SV406: allegorical_term_b,SV323: produc1478835367term_b] :
( ( ( SV323
!= ( produc1990145943term_b @ SV406 @ SV256 ) )
= $true )
| ( ( ~ ( ( SV256
!= ( produc1223098053term_b @ SV323 ) )
| ~ ~ ! [SY599: allegorical_term_b] :
( SV323
!= ( produc1990145943term_b @ SY599 @ SV256 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2119]) ).
thf(2176,plain,
! [SV394: produc1478835367term_b,SV326: produc1478835367term_b] :
( ( ( SV326 = SV394 )
= $false )
| ( ( ~ ( ( SV326 != SV394 )
| ~ ~ ( ( ( produc854192515term_b @ SV326 )
!= ( produc854192515term_b @ SV394 ) )
| ( ( produc1223098053term_b @ SV326 )
!= ( produc1223098053term_b @ SV394 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2120]) ).
thf(2177,plain,
! [SV394: produc1478835367term_b,SV326: produc1478835367term_b] :
( ( ( ~ ( ( ( produc854192515term_b @ SV326 )
!= ( produc854192515term_b @ SV394 ) )
| ( ( produc1223098053term_b @ SV326 )
!= ( produc1223098053term_b @ SV394 ) ) ) )
= $false )
| ( ( ~ ( ( SV326 != SV394 )
| ~ ~ ( ( ( produc854192515term_b @ SV326 )
!= ( produc854192515term_b @ SV394 ) )
| ( ( produc1223098053term_b @ SV326 )
!= ( produc1223098053term_b @ SV394 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2120]) ).
thf(2178,plain,
( ( ~ ( graph_529870330at_nat @ ( produc1542243159_b_nat @ standa879863266rule_b ) @ ( produc194497945_b_nat @ standa879863266rule_b ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ standa879863266rule_b ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2121]) ).
thf(2179,plain,
( ( ( produc194497945_b_nat @ standa879863266rule_b )
!= ( restrict_b_nat @ ( produc194497945_b_nat @ standa879863266rule_b ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2121]) ).
thf(2180,plain,
! [SV264: set_Pr9961929at_nat,SV331: set_Pr9961929at_nat] :
( ( ( finite1987068434at_nat @ SV331 )
= $false )
| ( ( finite1987068434at_nat @ SV264 )
= $true )
| ( ( ord_le910748009at_nat @ SV264 @ SV331 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2122]) ).
thf(2181,plain,
! [SV333: allegorical_term_b,SV266: allegorical_term_b > $o,SV395: allegorical_term_b,SV374: allegorical_term_b > $o] :
( ( ( SV374 @ SV395 )
= $false )
| ( ( ~ ( ~ ( SV266 @ ( produc854192515term_b @ ( produc1990145943term_b @ SV333 @ SV395 ) ) )
| ~ ( SV374 @ ( produc1223098053term_b @ ( produc1990145943term_b @ SV333 @ SV395 ) ) ) ) )
= $true )
| ( ( SV266 @ SV333 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2123]) ).
thf(2182,plain,
! [SV338: labeled_graph_b_nat,SV271: labeled_graph_b_nat > $o,SV396: labeled_graph_b_nat,SV378: labeled_graph_b_nat > $o] :
( ( ( SV378 @ SV396 )
= $false )
| ( ( ~ ( ~ ( SV271 @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ SV338 @ SV396 ) ) )
| ~ ( SV378 @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ SV338 @ SV396 ) ) ) ) )
= $true )
| ( ( SV271 @ SV338 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2125]) ).
thf(2183,plain,
! [SV397: allegorical_term_b,SV379: allegorical_term_b,SV339: allegorical_term_b,SV272: allegorical_term_b] :
( ( ( ( produc1990145943term_b @ SV272 @ SV339 )
= ( produc1990145943term_b @ SV379 @ SV397 ) )
= $false )
| ( ( ~ ( ( ( produc1990145943term_b @ SV272 @ SV339 )
!= ( produc1990145943term_b @ SV379 @ SV397 ) )
| ~ ~ ( ( SV272 != SV379 )
| ( SV339 != SV397 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2126]) ).
thf(2184,plain,
! [SV397: allegorical_term_b,SV339: allegorical_term_b,SV379: allegorical_term_b,SV272: allegorical_term_b] :
( ( ( ~ ( ( SV272 != SV379 )
| ( SV339 != SV397 ) ) )
= $false )
| ( ( ~ ( ( ( produc1990145943term_b @ SV272 @ SV339 )
!= ( produc1990145943term_b @ SV379 @ SV397 ) )
| ~ ~ ( ( SV272 != SV379 )
| ( SV339 != SV397 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2126]) ).
thf(2185,plain,
! [SV398: allegorical_term_b,SV342: allegorical_term_b,SV380: allegorical_term_b,SV275: allegorical_term_b] :
( ( ( SV275 != SV380 )
= $false )
| ( ( ( produc1990145943term_b @ SV275 @ SV342 )
= ( produc1990145943term_b @ SV380 @ SV398 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2127]) ).
thf(2186,plain,
! [SV380: allegorical_term_b,SV275: allegorical_term_b,SV398: allegorical_term_b,SV342: allegorical_term_b] :
( ( ( SV342 != SV398 )
= $false )
| ( ( ( produc1990145943term_b @ SV275 @ SV342 )
= ( produc1990145943term_b @ SV380 @ SV398 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2127]) ).
thf(2187,plain,
! [SV344: produc1235635379_b_nat,SV277: labeled_graph_b_nat] :
( ( ( SV277
!= ( produc194497945_b_nat @ SV344 ) )
= $false )
| ( ( SV277
= ( produc194497945_b_nat @ SV344 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2128]) ).
thf(2188,plain,
! [SV277: labeled_graph_b_nat,SV344: produc1235635379_b_nat] :
( ( ( ~ ~ ! [SY621: labeled_graph_b_nat] :
( SV344
!= ( produc951298923_b_nat @ SY621 @ SV277 ) ) )
= $false )
| ( ( SV277
= ( produc194497945_b_nat @ SV344 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2128]) ).
thf(2189,plain,
! [SV277: labeled_graph_b_nat,SV407: labeled_graph_b_nat,SV344: produc1235635379_b_nat] :
( ( ( SV344
!= ( produc951298923_b_nat @ SV407 @ SV277 ) )
= $true )
| ( ( ~ ( ( SV277
!= ( produc194497945_b_nat @ SV344 ) )
| ~ ~ ! [SY621: labeled_graph_b_nat] :
( SV344
!= ( produc951298923_b_nat @ SY621 @ SV277 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2129]) ).
thf(2190,plain,
! [SV278: labeled_graph_b_nat > labeled_graph_b_nat > $o,SV381: labeled_graph_b_nat,SV345: labeled_graph_b_nat,SV399: produc1235635379_b_nat] :
( ( ( SV399
= ( produc951298923_b_nat @ SV345 @ SV381 ) )
= $false )
| ( ( SV278 @ ( produc1542243159_b_nat @ SV399 ) @ ( produc194497945_b_nat @ SV399 ) )
= $true )
| ( ( SV278 @ SV345 @ SV381 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2130]) ).
thf(2191,plain,
! [SV346: produc1478835367term_b,SV280: allegorical_term_b > allegorical_term_b > $o] :
( ( ( SV280 @ ( sK48_SY664 @ SV346 @ SV280 ) @ ( sK45_SY548 @ SV346 @ SV280 ) )
= $true )
| ( ( SV280 @ ( produc1223098053term_b @ SV346 ) @ ( produc854192515term_b @ SV346 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2131]) ).
thf(2192,plain,
! [SV400: allegorical_term_b,SV382: allegorical_term_b,SV347: allegorical_term_b,SV281: allegorical_term_b] :
( ( ( ( produc1990145943term_b @ SV281 @ SV347 )
= ( produc1990145943term_b @ SV382 @ SV400 ) )
= $false )
| ( ( ~ ( ( ( produc1990145943term_b @ SV281 @ SV347 )
!= ( produc1990145943term_b @ SV382 @ SV400 ) )
| ~ ~ ( ( SV281 != SV382 )
| ( SV347 != SV400 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2132]) ).
thf(2193,plain,
! [SV400: allegorical_term_b,SV347: allegorical_term_b,SV382: allegorical_term_b,SV281: allegorical_term_b] :
( ( ( ~ ( ( SV281 != SV382 )
| ( SV347 != SV400 ) ) )
= $false )
| ( ( ~ ( ( ( produc1990145943term_b @ SV281 @ SV347 )
!= ( produc1990145943term_b @ SV382 @ SV400 ) )
| ~ ~ ( ( SV281 != SV382 )
| ( SV347 != SV400 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2132]) ).
thf(2194,plain,
! [SV384: set_Pr1163220871term_b,SV283: allegorical_term_b,SV349: allegorical_term_b,SV401: allegorical_term_b] :
( ( ( SV401 = SV349 )
= $false )
| ( ( member516522448term_b @ ( produc1990145943term_b @ SV283 @ SV401 ) @ SV384 )
= $true )
| ( ( member516522448term_b @ ( produc1990145943term_b @ SV283 @ SV349 ) @ SV384 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2133]) ).
thf(2195,plain,
! [SV352: allegorical_term_b,SV286: allegorical_term_b] :
( ( ~ ( ~ ( graph_529870330at_nat @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV286 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV286 @ SV352 ) ) ) ) @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV286 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV286 @ SV352 ) ) ) ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV286 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV286 @ SV352 ) ) ) ) ) ) )
| ( ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV286 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV286 @ SV352 ) ) ) )
!= ( restrict_b_nat @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV286 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV286 @ SV352 ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2134]) ).
thf(2196,plain,
! [SV352: allegorical_term_b,SV286: allegorical_term_b] :
( ( finite_finite_nat @ ( labele460410879_b_nat @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV286 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV286 @ SV352 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2135]) ).
thf(2197,plain,
! [SV287: b] :
( ( ~ ( graph_529870330at_nat @ ( produc1542243159_b_nat @ ( standa1329480013rule_b @ SV287 ) ) @ ( produc194497945_b_nat @ ( standa1329480013rule_b @ SV287 ) ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ ( standa1329480013rule_b @ SV287 ) ) ) ) )
| ( ( produc194497945_b_nat @ ( standa1329480013rule_b @ SV287 ) )
!= ( restrict_b_nat @ ( produc194497945_b_nat @ ( standa1329480013rule_b @ SV287 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2136]) ).
thf(2198,plain,
! [SV402: labeled_graph_b_nat,SV385: labeled_graph_b_nat,SV353: labeled_graph_b_nat,SV288: labeled_graph_b_nat] :
( ( ( ( produc951298923_b_nat @ SV288 @ SV353 )
= ( produc951298923_b_nat @ SV385 @ SV402 ) )
= $false )
| ( ( ~ ( ( ( produc951298923_b_nat @ SV288 @ SV353 )
!= ( produc951298923_b_nat @ SV385 @ SV402 ) )
| ~ ~ ( ( SV288 != SV385 )
| ( SV353 != SV402 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2138]) ).
thf(2199,plain,
! [SV402: labeled_graph_b_nat,SV353: labeled_graph_b_nat,SV385: labeled_graph_b_nat,SV288: labeled_graph_b_nat] :
( ( ( ~ ( ( SV288 != SV385 )
| ( SV353 != SV402 ) ) )
= $false )
| ( ( ~ ( ( ( produc951298923_b_nat @ SV288 @ SV353 )
!= ( produc951298923_b_nat @ SV385 @ SV402 ) )
| ~ ~ ( ( SV288 != SV385 )
| ( SV353 != SV402 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2138]) ).
thf(2200,plain,
! [SV355: produc1235635379_b_nat,SV290: labeled_graph_b_nat] :
( ( ( SV290
!= ( produc1542243159_b_nat @ SV355 ) )
= $false )
| ( ( SV290
= ( produc1542243159_b_nat @ SV355 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2139]) ).
thf(2201,plain,
! [SV290: labeled_graph_b_nat,SV355: produc1235635379_b_nat] :
( ( ( ~ ~ ! [SY635: labeled_graph_b_nat] :
( SV355
!= ( produc951298923_b_nat @ SV290 @ SY635 ) ) )
= $false )
| ( ( SV290
= ( produc1542243159_b_nat @ SV355 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2139]) ).
thf(2202,plain,
! [SV408: labeled_graph_b_nat,SV290: labeled_graph_b_nat,SV355: produc1235635379_b_nat] :
( ( ( SV355
!= ( produc951298923_b_nat @ SV290 @ SV408 ) )
= $true )
| ( ( ~ ( ( SV290
!= ( produc1542243159_b_nat @ SV355 ) )
| ~ ~ ! [SY635: labeled_graph_b_nat] :
( SV355
!= ( produc951298923_b_nat @ SV290 @ SY635 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2140]) ).
thf(2203,plain,
! [SV291: b] :
( ( ~ ( graph_529870330at_nat @ ( produc1542243159_b_nat @ ( standa1360217389rule_b @ SV291 ) ) @ ( produc194497945_b_nat @ ( standa1360217389rule_b @ SV291 ) ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ ( standa1360217389rule_b @ SV291 ) ) ) ) )
| ( ( produc194497945_b_nat @ ( standa1360217389rule_b @ SV291 ) )
!= ( restrict_b_nat @ ( produc194497945_b_nat @ ( standa1360217389rule_b @ SV291 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2141]) ).
thf(2204,plain,
! [SV403: allegorical_term_b,SV386: allegorical_term_b,SV357: allegorical_term_b,SV293: allegorical_term_b] :
( ( ( ( allegorical_A_Int_b @ SV293 @ SV357 )
= ( allegorical_A_Int_b @ SV386 @ SV403 ) )
= $false )
| ( ( ~ ( ( ( allegorical_A_Int_b @ SV293 @ SV357 )
!= ( allegorical_A_Int_b @ SV386 @ SV403 ) )
| ~ ~ ( ( SV293 != SV386 )
| ( SV357 != SV403 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2143]) ).
thf(2205,plain,
! [SV403: allegorical_term_b,SV357: allegorical_term_b,SV386: allegorical_term_b,SV293: allegorical_term_b] :
( ( ( ~ ( ( SV293 != SV386 )
| ( SV357 != SV403 ) ) )
= $false )
| ( ( ~ ( ( ( allegorical_A_Int_b @ SV293 @ SV357 )
!= ( allegorical_A_Int_b @ SV386 @ SV403 ) )
| ~ ~ ( ( SV293 != SV386 )
| ( SV357 != SV403 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2143]) ).
thf(2206,plain,
! [SV388: labeled_graph_b_nat,SV359: labeled_graph_b_nat,SV303: labeled_graph_b_nat,SV231: labeled_graph_b_nat] :
( ( ( ( ( produc951298923_b_nat @ SV231 @ SV303 )
!= ( produc951298923_b_nat @ SV359 @ SV388 ) )
| ~ ~ ( ( SV231 != SV359 )
| ( SV303 != SV388 ) ) )
= $false )
| ( ( ( produc951298923_b_nat @ SV231 @ SV303 )
= ( produc951298923_b_nat @ SV359 @ SV388 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2153]) ).
thf(2207,plain,
! [SV388: labeled_graph_b_nat,SV303: labeled_graph_b_nat,SV359: labeled_graph_b_nat,SV231: labeled_graph_b_nat] :
( ( ( ( SV231 != SV359 )
| ( SV303 != SV388 ) )
= $true )
| ( ( ~ ( ( ( produc951298923_b_nat @ SV231 @ SV303 )
!= ( produc951298923_b_nat @ SV359 @ SV388 ) )
| ~ ~ ( ( SV231 != SV359 )
| ( SV303 != SV388 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2154]) ).
thf(2208,plain,
! [SV389: produc1235635379_b_nat,SV307: produc1235635379_b_nat] :
( ( ( ( SV307 != SV389 )
| ~ ~ ( ( ( produc1542243159_b_nat @ SV307 )
!= ( produc1542243159_b_nat @ SV389 ) )
| ( ( produc194497945_b_nat @ SV307 )
!= ( produc194497945_b_nat @ SV389 ) ) ) )
= $false )
| ( ( SV307 = SV389 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2156]) ).
thf(2209,plain,
! [SV389: produc1235635379_b_nat,SV307: produc1235635379_b_nat] :
( ( ( ( ( produc1542243159_b_nat @ SV307 )
!= ( produc1542243159_b_nat @ SV389 ) )
| ( ( produc194497945_b_nat @ SV307 )
!= ( produc194497945_b_nat @ SV389 ) ) )
= $true )
| ( ( ~ ( ( SV307 != SV389 )
| ~ ~ ( ( ( produc1542243159_b_nat @ SV307 )
!= ( produc1542243159_b_nat @ SV389 ) )
| ( ( produc194497945_b_nat @ SV307 )
!= ( produc194497945_b_nat @ SV389 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2157]) ).
thf(2210,plain,
! [SV391: labeled_graph_b_nat,SV316: labeled_graph_b_nat,SV366: labeled_graph_b_nat,SV247: labeled_graph_b_nat] :
( ( ( SV247 = SV366 )
= $true )
| ( ( ( produc951298923_b_nat @ SV247 @ SV316 )
= ( produc951298923_b_nat @ SV366 @ SV391 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2162]) ).
thf(2211,plain,
! [SV366: labeled_graph_b_nat,SV247: labeled_graph_b_nat,SV391: labeled_graph_b_nat,SV316: labeled_graph_b_nat] :
( ( ( SV316 = SV391 )
= $true )
| ( ( ( produc951298923_b_nat @ SV247 @ SV316 )
= ( produc951298923_b_nat @ SV366 @ SV391 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2163]) ).
thf(2212,plain,
! [SV319: labeled_graph_b_nat,SV250: labeled_graph_b_nat] :
( ( ( graph_529870330at_nat @ SV250 @ SV319 @ ( id_on_nat @ ( labele460410879_b_nat @ SV250 ) ) )
= $true )
| ( ( graph_529870330at_nat @ SV250 @ SV319 @ ( id_on_nat @ ( labele460410879_b_nat @ SV250 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2166]) ).
thf(2213,plain,
! [SV319: labeled_graph_b_nat,SV250: labeled_graph_b_nat] :
( ( ( ~ ( ~ ~ ( ( SV250
!= ( restrict_b_nat @ SV250 ) )
| ( SV319
!= ( restrict_b_nat @ SV319 ) ) )
| ( ( graph_union_b_nat @ SV250 @ SV319 )
!= SV319 ) ) )
= $true )
| ( ( graph_529870330at_nat @ SV250 @ SV319 @ ( id_on_nat @ ( labele460410879_b_nat @ SV250 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2167]) ).
thf(2214,plain,
! [SV319: labeled_graph_b_nat,SV250: labeled_graph_b_nat] :
( ( ( ~ ( ( SV250
!= ( restrict_b_nat @ SV250 ) )
| ( SV319
!= ( restrict_b_nat @ SV319 ) ) ) )
= $false )
| ( ( ( graph_union_b_nat @ SV250 @ SV319 )
!= SV319 )
= $true )
| ( ( ~ ( ~ ( graph_529870330at_nat @ SV250 @ SV319 @ ( id_on_nat @ ( labele460410879_b_nat @ SV250 ) ) )
| ~ ~ ( ~ ~ ( ( SV250
!= ( restrict_b_nat @ SV250 ) )
| ( SV319
!= ( restrict_b_nat @ SV319 ) ) )
| ( ( graph_union_b_nat @ SV250 @ SV319 )
!= SV319 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2168]) ).
thf(2215,plain,
! [SV321: produc1478835367term_b,SV254: allegorical_term_b] :
( ( ( SV254
= ( produc854192515term_b @ SV321 ) )
= $true )
| ( ( SV254
= ( produc854192515term_b @ SV321 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2169]) ).
thf(2216,plain,
! [SV254: allegorical_term_b,SV321: produc1478835367term_b] :
( ( ( ~ ! [SY595: allegorical_term_b] :
( SV321
!= ( produc1990145943term_b @ SV254 @ SY595 ) ) )
= $true )
| ( ( SV254
= ( produc854192515term_b @ SV321 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2170]) ).
thf(2217,plain,
! [SV405: allegorical_term_b,SV254: allegorical_term_b,SV321: produc1478835367term_b] :
( ( ( SV321
= ( produc1990145943term_b @ SV254 @ SV405 ) )
= $false )
| ( ( ~ ( ( SV254
!= ( produc854192515term_b @ SV321 ) )
| ~ ~ ! [SY595: allegorical_term_b] :
( SV321
!= ( produc1990145943term_b @ SV254 @ SY595 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2171]) ).
thf(2218,plain,
! [SV368: set_Pr1986765409at_nat,SV255: labeled_graph_b_nat,SV404: set_Pr1986765409at_nat,SV393: labeled_graph_b_nat,SV322: labeled_graph_b_nat] :
( ( ( graph_529870330at_nat @ SV322 @ SV393 @ SV404 )
= $false )
| ( ( graph_529870330at_nat @ SV255 @ SV393 @ ( relcomp_nat_nat_nat @ SV368 @ SV404 ) )
= $true )
| ( ( graph_529870330at_nat @ SV255 @ SV322 @ SV368 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2172]) ).
thf(2219,plain,
! [SV323: produc1478835367term_b,SV256: allegorical_term_b] :
( ( ( SV256
= ( produc1223098053term_b @ SV323 ) )
= $true )
| ( ( SV256
= ( produc1223098053term_b @ SV323 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2173]) ).
thf(2220,plain,
! [SV256: allegorical_term_b,SV323: produc1478835367term_b] :
( ( ( ~ ! [SY599: allegorical_term_b] :
( SV323
!= ( produc1990145943term_b @ SY599 @ SV256 ) ) )
= $true )
| ( ( SV256
= ( produc1223098053term_b @ SV323 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2174]) ).
thf(2221,plain,
! [SV256: allegorical_term_b,SV406: allegorical_term_b,SV323: produc1478835367term_b] :
( ( ( SV323
= ( produc1990145943term_b @ SV406 @ SV256 ) )
= $false )
| ( ( ~ ( ( SV256
!= ( produc1223098053term_b @ SV323 ) )
| ~ ~ ! [SY599: allegorical_term_b] :
( SV323
!= ( produc1990145943term_b @ SY599 @ SV256 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2175]) ).
thf(2222,plain,
! [SV394: produc1478835367term_b,SV326: produc1478835367term_b] :
( ( ( ( SV326 != SV394 )
| ~ ~ ( ( ( produc854192515term_b @ SV326 )
!= ( produc854192515term_b @ SV394 ) )
| ( ( produc1223098053term_b @ SV326 )
!= ( produc1223098053term_b @ SV394 ) ) ) )
= $false )
| ( ( SV326 = SV394 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2176]) ).
thf(2223,plain,
! [SV394: produc1478835367term_b,SV326: produc1478835367term_b] :
( ( ( ( ( produc854192515term_b @ SV326 )
!= ( produc854192515term_b @ SV394 ) )
| ( ( produc1223098053term_b @ SV326 )
!= ( produc1223098053term_b @ SV394 ) ) )
= $true )
| ( ( ~ ( ( SV326 != SV394 )
| ~ ~ ( ( ( produc854192515term_b @ SV326 )
!= ( produc854192515term_b @ SV394 ) )
| ( ( produc1223098053term_b @ SV326 )
!= ( produc1223098053term_b @ SV394 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2177]) ).
thf(2224,plain,
( ( graph_529870330at_nat @ ( produc1542243159_b_nat @ standa879863266rule_b ) @ ( produc194497945_b_nat @ standa879863266rule_b ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ standa879863266rule_b ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2178]) ).
thf(2225,plain,
( ( ( produc194497945_b_nat @ standa879863266rule_b )
= ( restrict_b_nat @ ( produc194497945_b_nat @ standa879863266rule_b ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2179]) ).
thf(2226,plain,
! [SV374: allegorical_term_b > $o,SV395: allegorical_term_b,SV333: allegorical_term_b,SV266: allegorical_term_b > $o] :
( ( ( ~ ( SV266 @ ( produc854192515term_b @ ( produc1990145943term_b @ SV333 @ SV395 ) ) )
| ~ ( SV374 @ ( produc1223098053term_b @ ( produc1990145943term_b @ SV333 @ SV395 ) ) ) )
= $false )
| ( ( SV374 @ SV395 )
= $false )
| ( ( SV266 @ SV333 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2181]) ).
thf(2227,plain,
! [SV378: labeled_graph_b_nat > $o,SV396: labeled_graph_b_nat,SV338: labeled_graph_b_nat,SV271: labeled_graph_b_nat > $o] :
( ( ( ~ ( SV271 @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ SV338 @ SV396 ) ) )
| ~ ( SV378 @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ SV338 @ SV396 ) ) ) )
= $false )
| ( ( SV378 @ SV396 )
= $false )
| ( ( SV271 @ SV338 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2182]) ).
thf(2228,plain,
! [SV397: allegorical_term_b,SV379: allegorical_term_b,SV339: allegorical_term_b,SV272: allegorical_term_b] :
( ( ( ( ( produc1990145943term_b @ SV272 @ SV339 )
!= ( produc1990145943term_b @ SV379 @ SV397 ) )
| ~ ~ ( ( SV272 != SV379 )
| ( SV339 != SV397 ) ) )
= $false )
| ( ( ( produc1990145943term_b @ SV272 @ SV339 )
= ( produc1990145943term_b @ SV379 @ SV397 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2183]) ).
thf(2229,plain,
! [SV397: allegorical_term_b,SV339: allegorical_term_b,SV379: allegorical_term_b,SV272: allegorical_term_b] :
( ( ( ( SV272 != SV379 )
| ( SV339 != SV397 ) )
= $true )
| ( ( ~ ( ( ( produc1990145943term_b @ SV272 @ SV339 )
!= ( produc1990145943term_b @ SV379 @ SV397 ) )
| ~ ~ ( ( SV272 != SV379 )
| ( SV339 != SV397 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2184]) ).
thf(2230,plain,
! [SV398: allegorical_term_b,SV342: allegorical_term_b,SV380: allegorical_term_b,SV275: allegorical_term_b] :
( ( ( SV275 = SV380 )
= $true )
| ( ( ( produc1990145943term_b @ SV275 @ SV342 )
= ( produc1990145943term_b @ SV380 @ SV398 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2185]) ).
thf(2231,plain,
! [SV380: allegorical_term_b,SV275: allegorical_term_b,SV398: allegorical_term_b,SV342: allegorical_term_b] :
( ( ( SV342 = SV398 )
= $true )
| ( ( ( produc1990145943term_b @ SV275 @ SV342 )
= ( produc1990145943term_b @ SV380 @ SV398 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2186]) ).
thf(2232,plain,
! [SV344: produc1235635379_b_nat,SV277: labeled_graph_b_nat] :
( ( ( SV277
= ( produc194497945_b_nat @ SV344 ) )
= $true )
| ( ( SV277
= ( produc194497945_b_nat @ SV344 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2187]) ).
thf(2233,plain,
! [SV277: labeled_graph_b_nat,SV344: produc1235635379_b_nat] :
( ( ( ~ ! [SY621: labeled_graph_b_nat] :
( SV344
!= ( produc951298923_b_nat @ SY621 @ SV277 ) ) )
= $true )
| ( ( SV277
= ( produc194497945_b_nat @ SV344 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2188]) ).
thf(2234,plain,
! [SV277: labeled_graph_b_nat,SV407: labeled_graph_b_nat,SV344: produc1235635379_b_nat] :
( ( ( SV344
= ( produc951298923_b_nat @ SV407 @ SV277 ) )
= $false )
| ( ( ~ ( ( SV277
!= ( produc194497945_b_nat @ SV344 ) )
| ~ ~ ! [SY621: labeled_graph_b_nat] :
( SV344
!= ( produc951298923_b_nat @ SY621 @ SV277 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2189]) ).
thf(2235,plain,
! [SV400: allegorical_term_b,SV382: allegorical_term_b,SV347: allegorical_term_b,SV281: allegorical_term_b] :
( ( ( ( ( produc1990145943term_b @ SV281 @ SV347 )
!= ( produc1990145943term_b @ SV382 @ SV400 ) )
| ~ ~ ( ( SV281 != SV382 )
| ( SV347 != SV400 ) ) )
= $false )
| ( ( ( produc1990145943term_b @ SV281 @ SV347 )
= ( produc1990145943term_b @ SV382 @ SV400 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2192]) ).
thf(2236,plain,
! [SV400: allegorical_term_b,SV347: allegorical_term_b,SV382: allegorical_term_b,SV281: allegorical_term_b] :
( ( ( ( SV281 != SV382 )
| ( SV347 != SV400 ) )
= $true )
| ( ( ~ ( ( ( produc1990145943term_b @ SV281 @ SV347 )
!= ( produc1990145943term_b @ SV382 @ SV400 ) )
| ~ ~ ( ( SV281 != SV382 )
| ( SV347 != SV400 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2193]) ).
thf(2237,plain,
! [SV352: allegorical_term_b,SV286: allegorical_term_b] :
( ( ~ ( graph_529870330at_nat @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV286 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV286 @ SV352 ) ) ) ) @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV286 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV286 @ SV352 ) ) ) ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV286 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV286 @ SV352 ) ) ) ) ) ) )
| ( ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV286 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV286 @ SV352 ) ) ) )
!= ( restrict_b_nat @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV286 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV286 @ SV352 ) ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2195]) ).
thf(2238,plain,
! [SV287: b] :
( ( ~ ( graph_529870330at_nat @ ( produc1542243159_b_nat @ ( standa1329480013rule_b @ SV287 ) ) @ ( produc194497945_b_nat @ ( standa1329480013rule_b @ SV287 ) ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ ( standa1329480013rule_b @ SV287 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2197]) ).
thf(2239,plain,
! [SV287: b] :
( ( ( produc194497945_b_nat @ ( standa1329480013rule_b @ SV287 ) )
!= ( restrict_b_nat @ ( produc194497945_b_nat @ ( standa1329480013rule_b @ SV287 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2197]) ).
thf(2240,plain,
! [SV402: labeled_graph_b_nat,SV385: labeled_graph_b_nat,SV353: labeled_graph_b_nat,SV288: labeled_graph_b_nat] :
( ( ( ( ( produc951298923_b_nat @ SV288 @ SV353 )
!= ( produc951298923_b_nat @ SV385 @ SV402 ) )
| ~ ~ ( ( SV288 != SV385 )
| ( SV353 != SV402 ) ) )
= $false )
| ( ( ( produc951298923_b_nat @ SV288 @ SV353 )
= ( produc951298923_b_nat @ SV385 @ SV402 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2198]) ).
thf(2241,plain,
! [SV402: labeled_graph_b_nat,SV353: labeled_graph_b_nat,SV385: labeled_graph_b_nat,SV288: labeled_graph_b_nat] :
( ( ( ( SV288 != SV385 )
| ( SV353 != SV402 ) )
= $true )
| ( ( ~ ( ( ( produc951298923_b_nat @ SV288 @ SV353 )
!= ( produc951298923_b_nat @ SV385 @ SV402 ) )
| ~ ~ ( ( SV288 != SV385 )
| ( SV353 != SV402 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2199]) ).
thf(2242,plain,
! [SV355: produc1235635379_b_nat,SV290: labeled_graph_b_nat] :
( ( ( SV290
= ( produc1542243159_b_nat @ SV355 ) )
= $true )
| ( ( SV290
= ( produc1542243159_b_nat @ SV355 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2200]) ).
thf(2243,plain,
! [SV290: labeled_graph_b_nat,SV355: produc1235635379_b_nat] :
( ( ( ~ ! [SY635: labeled_graph_b_nat] :
( SV355
!= ( produc951298923_b_nat @ SV290 @ SY635 ) ) )
= $true )
| ( ( SV290
= ( produc1542243159_b_nat @ SV355 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2201]) ).
thf(2244,plain,
! [SV408: labeled_graph_b_nat,SV290: labeled_graph_b_nat,SV355: produc1235635379_b_nat] :
( ( ( SV355
= ( produc951298923_b_nat @ SV290 @ SV408 ) )
= $false )
| ( ( ~ ( ( SV290
!= ( produc1542243159_b_nat @ SV355 ) )
| ~ ~ ! [SY635: labeled_graph_b_nat] :
( SV355
!= ( produc951298923_b_nat @ SV290 @ SY635 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2202]) ).
thf(2245,plain,
! [SV291: b] :
( ( ~ ( graph_529870330at_nat @ ( produc1542243159_b_nat @ ( standa1360217389rule_b @ SV291 ) ) @ ( produc194497945_b_nat @ ( standa1360217389rule_b @ SV291 ) ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ ( standa1360217389rule_b @ SV291 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2203]) ).
thf(2246,plain,
! [SV291: b] :
( ( ( produc194497945_b_nat @ ( standa1360217389rule_b @ SV291 ) )
!= ( restrict_b_nat @ ( produc194497945_b_nat @ ( standa1360217389rule_b @ SV291 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2203]) ).
thf(2247,plain,
! [SV403: allegorical_term_b,SV386: allegorical_term_b,SV357: allegorical_term_b,SV293: allegorical_term_b] :
( ( ( ( ( allegorical_A_Int_b @ SV293 @ SV357 )
!= ( allegorical_A_Int_b @ SV386 @ SV403 ) )
| ~ ~ ( ( SV293 != SV386 )
| ( SV357 != SV403 ) ) )
= $false )
| ( ( ( allegorical_A_Int_b @ SV293 @ SV357 )
= ( allegorical_A_Int_b @ SV386 @ SV403 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2204]) ).
thf(2248,plain,
! [SV403: allegorical_term_b,SV357: allegorical_term_b,SV386: allegorical_term_b,SV293: allegorical_term_b] :
( ( ( ( SV293 != SV386 )
| ( SV357 != SV403 ) )
= $true )
| ( ( ~ ( ( ( allegorical_A_Int_b @ SV293 @ SV357 )
!= ( allegorical_A_Int_b @ SV386 @ SV403 ) )
| ~ ~ ( ( SV293 != SV386 )
| ( SV357 != SV403 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2205]) ).
thf(2249,plain,
! [SV388: labeled_graph_b_nat,SV359: labeled_graph_b_nat,SV303: labeled_graph_b_nat,SV231: labeled_graph_b_nat] :
( ( ( ( produc951298923_b_nat @ SV231 @ SV303 )
!= ( produc951298923_b_nat @ SV359 @ SV388 ) )
= $false )
| ( ( ( produc951298923_b_nat @ SV231 @ SV303 )
= ( produc951298923_b_nat @ SV359 @ SV388 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2206]) ).
thf(2250,plain,
! [SV388: labeled_graph_b_nat,SV303: labeled_graph_b_nat,SV359: labeled_graph_b_nat,SV231: labeled_graph_b_nat] :
( ( ( ~ ~ ( ( SV231 != SV359 )
| ( SV303 != SV388 ) ) )
= $false )
| ( ( ( produc951298923_b_nat @ SV231 @ SV303 )
= ( produc951298923_b_nat @ SV359 @ SV388 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2206]) ).
thf(2251,plain,
! [SV388: labeled_graph_b_nat,SV303: labeled_graph_b_nat,SV359: labeled_graph_b_nat,SV231: labeled_graph_b_nat] :
( ( ( SV231 != SV359 )
= $true )
| ( ( SV303 != SV388 )
= $true )
| ( ( ~ ( ( ( produc951298923_b_nat @ SV231 @ SV303 )
!= ( produc951298923_b_nat @ SV359 @ SV388 ) )
| ~ ~ ( ( SV231 != SV359 )
| ( SV303 != SV388 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2207]) ).
thf(2252,plain,
! [SV389: produc1235635379_b_nat,SV307: produc1235635379_b_nat] :
( ( ( SV307 != SV389 )
= $false )
| ( ( SV307 = SV389 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2208]) ).
thf(2253,plain,
! [SV389: produc1235635379_b_nat,SV307: produc1235635379_b_nat] :
( ( ( ~ ~ ( ( ( produc1542243159_b_nat @ SV307 )
!= ( produc1542243159_b_nat @ SV389 ) )
| ( ( produc194497945_b_nat @ SV307 )
!= ( produc194497945_b_nat @ SV389 ) ) ) )
= $false )
| ( ( SV307 = SV389 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2208]) ).
thf(2254,plain,
! [SV389: produc1235635379_b_nat,SV307: produc1235635379_b_nat] :
( ( ( ( produc1542243159_b_nat @ SV307 )
!= ( produc1542243159_b_nat @ SV389 ) )
= $true )
| ( ( ( produc194497945_b_nat @ SV307 )
!= ( produc194497945_b_nat @ SV389 ) )
= $true )
| ( ( ~ ( ( SV307 != SV389 )
| ~ ~ ( ( ( produc1542243159_b_nat @ SV307 )
!= ( produc1542243159_b_nat @ SV389 ) )
| ( ( produc194497945_b_nat @ SV307 )
!= ( produc194497945_b_nat @ SV389 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2209]) ).
thf(2255,plain,
! [SV319: labeled_graph_b_nat,SV250: labeled_graph_b_nat] :
( ( ( ~ ~ ( ( SV250
!= ( restrict_b_nat @ SV250 ) )
| ( SV319
!= ( restrict_b_nat @ SV319 ) ) )
| ( ( graph_union_b_nat @ SV250 @ SV319 )
!= SV319 ) )
= $false )
| ( ( graph_529870330at_nat @ SV250 @ SV319 @ ( id_on_nat @ ( labele460410879_b_nat @ SV250 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2213]) ).
thf(2256,plain,
! [SV319: labeled_graph_b_nat,SV250: labeled_graph_b_nat] :
( ( ( ( SV250
!= ( restrict_b_nat @ SV250 ) )
| ( SV319
!= ( restrict_b_nat @ SV319 ) ) )
= $true )
| ( ( ( graph_union_b_nat @ SV250 @ SV319 )
!= SV319 )
= $true )
| ( ( ~ ( ~ ( graph_529870330at_nat @ SV250 @ SV319 @ ( id_on_nat @ ( labele460410879_b_nat @ SV250 ) ) )
| ~ ~ ( ~ ~ ( ( SV250
!= ( restrict_b_nat @ SV250 ) )
| ( SV319
!= ( restrict_b_nat @ SV319 ) ) )
| ( ( graph_union_b_nat @ SV250 @ SV319 )
!= SV319 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2214]) ).
thf(2257,plain,
! [SV254: allegorical_term_b,SV321: produc1478835367term_b] :
( ( ( ! [SY595: allegorical_term_b] :
( SV321
!= ( produc1990145943term_b @ SV254 @ SY595 ) ) )
= $false )
| ( ( SV254
= ( produc854192515term_b @ SV321 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2216]) ).
thf(2258,plain,
! [SV405: allegorical_term_b,SV321: produc1478835367term_b,SV254: allegorical_term_b] :
( ( ( ( SV254
!= ( produc854192515term_b @ SV321 ) )
| ~ ~ ! [SY595: allegorical_term_b] :
( SV321
!= ( produc1990145943term_b @ SV254 @ SY595 ) ) )
= $false )
| ( ( SV321
= ( produc1990145943term_b @ SV254 @ SV405 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2217]) ).
thf(2259,plain,
! [SV256: allegorical_term_b,SV323: produc1478835367term_b] :
( ( ( ! [SY599: allegorical_term_b] :
( SV323
!= ( produc1990145943term_b @ SY599 @ SV256 ) ) )
= $false )
| ( ( SV256
= ( produc1223098053term_b @ SV323 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2220]) ).
thf(2260,plain,
! [SV406: allegorical_term_b,SV323: produc1478835367term_b,SV256: allegorical_term_b] :
( ( ( ( SV256
!= ( produc1223098053term_b @ SV323 ) )
| ~ ~ ! [SY599: allegorical_term_b] :
( SV323
!= ( produc1990145943term_b @ SY599 @ SV256 ) ) )
= $false )
| ( ( SV323
= ( produc1990145943term_b @ SV406 @ SV256 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2221]) ).
thf(2261,plain,
! [SV394: produc1478835367term_b,SV326: produc1478835367term_b] :
( ( ( SV326 != SV394 )
= $false )
| ( ( SV326 = SV394 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2222]) ).
thf(2262,plain,
! [SV394: produc1478835367term_b,SV326: produc1478835367term_b] :
( ( ( ~ ~ ( ( ( produc854192515term_b @ SV326 )
!= ( produc854192515term_b @ SV394 ) )
| ( ( produc1223098053term_b @ SV326 )
!= ( produc1223098053term_b @ SV394 ) ) ) )
= $false )
| ( ( SV326 = SV394 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2222]) ).
thf(2263,plain,
! [SV394: produc1478835367term_b,SV326: produc1478835367term_b] :
( ( ( ( produc854192515term_b @ SV326 )
!= ( produc854192515term_b @ SV394 ) )
= $true )
| ( ( ( produc1223098053term_b @ SV326 )
!= ( produc1223098053term_b @ SV394 ) )
= $true )
| ( ( ~ ( ( SV326 != SV394 )
| ~ ~ ( ( ( produc854192515term_b @ SV326 )
!= ( produc854192515term_b @ SV394 ) )
| ( ( produc1223098053term_b @ SV326 )
!= ( produc1223098053term_b @ SV394 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2223]) ).
thf(2264,plain,
! [SV374: allegorical_term_b > $o,SV395: allegorical_term_b,SV333: allegorical_term_b,SV266: allegorical_term_b > $o] :
( ( ( ~ ( SV266 @ ( produc854192515term_b @ ( produc1990145943term_b @ SV333 @ SV395 ) ) ) )
= $false )
| ( ( SV374 @ SV395 )
= $false )
| ( ( SV266 @ SV333 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2226]) ).
thf(2265,plain,
! [SV266: allegorical_term_b > $o,SV395: allegorical_term_b,SV333: allegorical_term_b,SV374: allegorical_term_b > $o] :
( ( ( ~ ( SV374 @ ( produc1223098053term_b @ ( produc1990145943term_b @ SV333 @ SV395 ) ) ) )
= $false )
| ( ( SV374 @ SV395 )
= $false )
| ( ( SV266 @ SV333 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2226]) ).
thf(2266,plain,
! [SV378: labeled_graph_b_nat > $o,SV396: labeled_graph_b_nat,SV338: labeled_graph_b_nat,SV271: labeled_graph_b_nat > $o] :
( ( ( ~ ( SV271 @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ SV338 @ SV396 ) ) ) )
= $false )
| ( ( SV378 @ SV396 )
= $false )
| ( ( SV271 @ SV338 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2227]) ).
thf(2267,plain,
! [SV271: labeled_graph_b_nat > $o,SV396: labeled_graph_b_nat,SV338: labeled_graph_b_nat,SV378: labeled_graph_b_nat > $o] :
( ( ( ~ ( SV378 @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ SV338 @ SV396 ) ) ) )
= $false )
| ( ( SV378 @ SV396 )
= $false )
| ( ( SV271 @ SV338 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2227]) ).
thf(2268,plain,
! [SV397: allegorical_term_b,SV379: allegorical_term_b,SV339: allegorical_term_b,SV272: allegorical_term_b] :
( ( ( ( produc1990145943term_b @ SV272 @ SV339 )
!= ( produc1990145943term_b @ SV379 @ SV397 ) )
= $false )
| ( ( ( produc1990145943term_b @ SV272 @ SV339 )
= ( produc1990145943term_b @ SV379 @ SV397 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2228]) ).
thf(2269,plain,
! [SV397: allegorical_term_b,SV339: allegorical_term_b,SV379: allegorical_term_b,SV272: allegorical_term_b] :
( ( ( ~ ~ ( ( SV272 != SV379 )
| ( SV339 != SV397 ) ) )
= $false )
| ( ( ( produc1990145943term_b @ SV272 @ SV339 )
= ( produc1990145943term_b @ SV379 @ SV397 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2228]) ).
thf(2270,plain,
! [SV397: allegorical_term_b,SV339: allegorical_term_b,SV379: allegorical_term_b,SV272: allegorical_term_b] :
( ( ( SV272 != SV379 )
= $true )
| ( ( SV339 != SV397 )
= $true )
| ( ( ~ ( ( ( produc1990145943term_b @ SV272 @ SV339 )
!= ( produc1990145943term_b @ SV379 @ SV397 ) )
| ~ ~ ( ( SV272 != SV379 )
| ( SV339 != SV397 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2229]) ).
thf(2271,plain,
! [SV277: labeled_graph_b_nat,SV344: produc1235635379_b_nat] :
( ( ( ! [SY621: labeled_graph_b_nat] :
( SV344
!= ( produc951298923_b_nat @ SY621 @ SV277 ) ) )
= $false )
| ( ( SV277
= ( produc194497945_b_nat @ SV344 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2233]) ).
thf(2272,plain,
! [SV407: labeled_graph_b_nat,SV344: produc1235635379_b_nat,SV277: labeled_graph_b_nat] :
( ( ( ( SV277
!= ( produc194497945_b_nat @ SV344 ) )
| ~ ~ ! [SY621: labeled_graph_b_nat] :
( SV344
!= ( produc951298923_b_nat @ SY621 @ SV277 ) ) )
= $false )
| ( ( SV344
= ( produc951298923_b_nat @ SV407 @ SV277 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2234]) ).
thf(2273,plain,
! [SV400: allegorical_term_b,SV382: allegorical_term_b,SV347: allegorical_term_b,SV281: allegorical_term_b] :
( ( ( ( produc1990145943term_b @ SV281 @ SV347 )
!= ( produc1990145943term_b @ SV382 @ SV400 ) )
= $false )
| ( ( ( produc1990145943term_b @ SV281 @ SV347 )
= ( produc1990145943term_b @ SV382 @ SV400 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2235]) ).
thf(2274,plain,
! [SV400: allegorical_term_b,SV347: allegorical_term_b,SV382: allegorical_term_b,SV281: allegorical_term_b] :
( ( ( ~ ~ ( ( SV281 != SV382 )
| ( SV347 != SV400 ) ) )
= $false )
| ( ( ( produc1990145943term_b @ SV281 @ SV347 )
= ( produc1990145943term_b @ SV382 @ SV400 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2235]) ).
thf(2275,plain,
! [SV400: allegorical_term_b,SV347: allegorical_term_b,SV382: allegorical_term_b,SV281: allegorical_term_b] :
( ( ( SV281 != SV382 )
= $true )
| ( ( SV347 != SV400 )
= $true )
| ( ( ~ ( ( ( produc1990145943term_b @ SV281 @ SV347 )
!= ( produc1990145943term_b @ SV382 @ SV400 ) )
| ~ ~ ( ( SV281 != SV382 )
| ( SV347 != SV400 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2236]) ).
thf(2276,plain,
! [SV352: allegorical_term_b,SV286: allegorical_term_b] :
( ( ~ ( graph_529870330at_nat @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV286 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV286 @ SV352 ) ) ) ) @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV286 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV286 @ SV352 ) ) ) ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV286 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV286 @ SV352 ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2237]) ).
thf(2277,plain,
! [SV352: allegorical_term_b,SV286: allegorical_term_b] :
( ( ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV286 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV286 @ SV352 ) ) ) )
!= ( restrict_b_nat @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV286 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV286 @ SV352 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2237]) ).
thf(2278,plain,
! [SV287: b] :
( ( graph_529870330at_nat @ ( produc1542243159_b_nat @ ( standa1329480013rule_b @ SV287 ) ) @ ( produc194497945_b_nat @ ( standa1329480013rule_b @ SV287 ) ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ ( standa1329480013rule_b @ SV287 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2238]) ).
thf(2279,plain,
! [SV287: b] :
( ( ( produc194497945_b_nat @ ( standa1329480013rule_b @ SV287 ) )
= ( restrict_b_nat @ ( produc194497945_b_nat @ ( standa1329480013rule_b @ SV287 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2239]) ).
thf(2280,plain,
! [SV402: labeled_graph_b_nat,SV385: labeled_graph_b_nat,SV353: labeled_graph_b_nat,SV288: labeled_graph_b_nat] :
( ( ( ( produc951298923_b_nat @ SV288 @ SV353 )
!= ( produc951298923_b_nat @ SV385 @ SV402 ) )
= $false )
| ( ( ( produc951298923_b_nat @ SV288 @ SV353 )
= ( produc951298923_b_nat @ SV385 @ SV402 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2240]) ).
thf(2281,plain,
! [SV402: labeled_graph_b_nat,SV353: labeled_graph_b_nat,SV385: labeled_graph_b_nat,SV288: labeled_graph_b_nat] :
( ( ( ~ ~ ( ( SV288 != SV385 )
| ( SV353 != SV402 ) ) )
= $false )
| ( ( ( produc951298923_b_nat @ SV288 @ SV353 )
= ( produc951298923_b_nat @ SV385 @ SV402 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2240]) ).
thf(2282,plain,
! [SV402: labeled_graph_b_nat,SV353: labeled_graph_b_nat,SV385: labeled_graph_b_nat,SV288: labeled_graph_b_nat] :
( ( ( SV288 != SV385 )
= $true )
| ( ( SV353 != SV402 )
= $true )
| ( ( ~ ( ( ( produc951298923_b_nat @ SV288 @ SV353 )
!= ( produc951298923_b_nat @ SV385 @ SV402 ) )
| ~ ~ ( ( SV288 != SV385 )
| ( SV353 != SV402 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2241]) ).
thf(2283,plain,
! [SV290: labeled_graph_b_nat,SV355: produc1235635379_b_nat] :
( ( ( ! [SY635: labeled_graph_b_nat] :
( SV355
!= ( produc951298923_b_nat @ SV290 @ SY635 ) ) )
= $false )
| ( ( SV290
= ( produc1542243159_b_nat @ SV355 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2243]) ).
thf(2284,plain,
! [SV408: labeled_graph_b_nat,SV355: produc1235635379_b_nat,SV290: labeled_graph_b_nat] :
( ( ( ( SV290
!= ( produc1542243159_b_nat @ SV355 ) )
| ~ ~ ! [SY635: labeled_graph_b_nat] :
( SV355
!= ( produc951298923_b_nat @ SV290 @ SY635 ) ) )
= $false )
| ( ( SV355
= ( produc951298923_b_nat @ SV290 @ SV408 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2244]) ).
thf(2285,plain,
! [SV291: b] :
( ( graph_529870330at_nat @ ( produc1542243159_b_nat @ ( standa1360217389rule_b @ SV291 ) ) @ ( produc194497945_b_nat @ ( standa1360217389rule_b @ SV291 ) ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ ( standa1360217389rule_b @ SV291 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2245]) ).
thf(2286,plain,
! [SV291: b] :
( ( ( produc194497945_b_nat @ ( standa1360217389rule_b @ SV291 ) )
= ( restrict_b_nat @ ( produc194497945_b_nat @ ( standa1360217389rule_b @ SV291 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2246]) ).
thf(2287,plain,
! [SV403: allegorical_term_b,SV386: allegorical_term_b,SV357: allegorical_term_b,SV293: allegorical_term_b] :
( ( ( ( allegorical_A_Int_b @ SV293 @ SV357 )
!= ( allegorical_A_Int_b @ SV386 @ SV403 ) )
= $false )
| ( ( ( allegorical_A_Int_b @ SV293 @ SV357 )
= ( allegorical_A_Int_b @ SV386 @ SV403 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2247]) ).
thf(2288,plain,
! [SV403: allegorical_term_b,SV357: allegorical_term_b,SV386: allegorical_term_b,SV293: allegorical_term_b] :
( ( ( ~ ~ ( ( SV293 != SV386 )
| ( SV357 != SV403 ) ) )
= $false )
| ( ( ( allegorical_A_Int_b @ SV293 @ SV357 )
= ( allegorical_A_Int_b @ SV386 @ SV403 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2247]) ).
thf(2289,plain,
! [SV403: allegorical_term_b,SV357: allegorical_term_b,SV386: allegorical_term_b,SV293: allegorical_term_b] :
( ( ( SV293 != SV386 )
= $true )
| ( ( SV357 != SV403 )
= $true )
| ( ( ~ ( ( ( allegorical_A_Int_b @ SV293 @ SV357 )
!= ( allegorical_A_Int_b @ SV386 @ SV403 ) )
| ~ ~ ( ( SV293 != SV386 )
| ( SV357 != SV403 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2248]) ).
thf(2290,plain,
! [SV388: labeled_graph_b_nat,SV359: labeled_graph_b_nat,SV303: labeled_graph_b_nat,SV231: labeled_graph_b_nat] :
( ( ( ( produc951298923_b_nat @ SV231 @ SV303 )
= ( produc951298923_b_nat @ SV359 @ SV388 ) )
= $true )
| ( ( ( produc951298923_b_nat @ SV231 @ SV303 )
= ( produc951298923_b_nat @ SV359 @ SV388 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2249]) ).
thf(2291,plain,
! [SV388: labeled_graph_b_nat,SV303: labeled_graph_b_nat,SV359: labeled_graph_b_nat,SV231: labeled_graph_b_nat] :
( ( ( ~ ( ( SV231 != SV359 )
| ( SV303 != SV388 ) ) )
= $true )
| ( ( ( produc951298923_b_nat @ SV231 @ SV303 )
= ( produc951298923_b_nat @ SV359 @ SV388 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2250]) ).
thf(2292,plain,
! [SV388: labeled_graph_b_nat,SV303: labeled_graph_b_nat,SV359: labeled_graph_b_nat,SV231: labeled_graph_b_nat] :
( ( ( SV231 = SV359 )
= $false )
| ( ( SV303 != SV388 )
= $true )
| ( ( ~ ( ( ( produc951298923_b_nat @ SV231 @ SV303 )
!= ( produc951298923_b_nat @ SV359 @ SV388 ) )
| ~ ~ ( ( SV231 != SV359 )
| ( SV303 != SV388 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2251]) ).
thf(2293,plain,
! [SV389: produc1235635379_b_nat,SV307: produc1235635379_b_nat] :
( ( ( SV307 = SV389 )
= $true )
| ( ( SV307 = SV389 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2252]) ).
thf(2294,plain,
! [SV389: produc1235635379_b_nat,SV307: produc1235635379_b_nat] :
( ( ( ~ ( ( ( produc1542243159_b_nat @ SV307 )
!= ( produc1542243159_b_nat @ SV389 ) )
| ( ( produc194497945_b_nat @ SV307 )
!= ( produc194497945_b_nat @ SV389 ) ) ) )
= $true )
| ( ( SV307 = SV389 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2253]) ).
thf(2295,plain,
! [SV389: produc1235635379_b_nat,SV307: produc1235635379_b_nat] :
( ( ( ( produc1542243159_b_nat @ SV307 )
= ( produc1542243159_b_nat @ SV389 ) )
= $false )
| ( ( ( produc194497945_b_nat @ SV307 )
!= ( produc194497945_b_nat @ SV389 ) )
= $true )
| ( ( ~ ( ( SV307 != SV389 )
| ~ ~ ( ( ( produc1542243159_b_nat @ SV307 )
!= ( produc1542243159_b_nat @ SV389 ) )
| ( ( produc194497945_b_nat @ SV307 )
!= ( produc194497945_b_nat @ SV389 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2254]) ).
thf(2296,plain,
! [SV319: labeled_graph_b_nat,SV250: labeled_graph_b_nat] :
( ( ( ~ ~ ( ( SV250
!= ( restrict_b_nat @ SV250 ) )
| ( SV319
!= ( restrict_b_nat @ SV319 ) ) ) )
= $false )
| ( ( graph_529870330at_nat @ SV250 @ SV319 @ ( id_on_nat @ ( labele460410879_b_nat @ SV250 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2255]) ).
thf(2297,plain,
! [SV319: labeled_graph_b_nat,SV250: labeled_graph_b_nat] :
( ( ( ( graph_union_b_nat @ SV250 @ SV319 )
!= SV319 )
= $false )
| ( ( graph_529870330at_nat @ SV250 @ SV319 @ ( id_on_nat @ ( labele460410879_b_nat @ SV250 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2255]) ).
thf(2298,plain,
! [SV319: labeled_graph_b_nat,SV250: labeled_graph_b_nat] :
( ( ( SV250
!= ( restrict_b_nat @ SV250 ) )
= $true )
| ( ( SV319
!= ( restrict_b_nat @ SV319 ) )
= $true )
| ( ( ( graph_union_b_nat @ SV250 @ SV319 )
!= SV319 )
= $true )
| ( ( ~ ( ~ ( graph_529870330at_nat @ SV250 @ SV319 @ ( id_on_nat @ ( labele460410879_b_nat @ SV250 ) ) )
| ~ ~ ( ~ ~ ( ( SV250
!= ( restrict_b_nat @ SV250 ) )
| ( SV319
!= ( restrict_b_nat @ SV319 ) ) )
| ( ( graph_union_b_nat @ SV250 @ SV319 )
!= SV319 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2256]) ).
thf(2299,plain,
! [SV254: allegorical_term_b,SV321: produc1478835367term_b] :
( ( ( SV321
!= ( produc1990145943term_b @ SV254 @ ( sK49_SY595 @ SV254 @ SV321 ) ) )
= $false )
| ( ( SV254
= ( produc854192515term_b @ SV321 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2257]) ).
thf(2300,plain,
! [SV405: allegorical_term_b,SV321: produc1478835367term_b,SV254: allegorical_term_b] :
( ( ( SV254
!= ( produc854192515term_b @ SV321 ) )
= $false )
| ( ( SV321
= ( produc1990145943term_b @ SV254 @ SV405 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2258]) ).
thf(2301,plain,
! [SV405: allegorical_term_b,SV254: allegorical_term_b,SV321: produc1478835367term_b] :
( ( ( ~ ~ ! [SY595: allegorical_term_b] :
( SV321
!= ( produc1990145943term_b @ SV254 @ SY595 ) ) )
= $false )
| ( ( SV321
= ( produc1990145943term_b @ SV254 @ SV405 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2258]) ).
thf(2302,plain,
! [SV256: allegorical_term_b,SV323: produc1478835367term_b] :
( ( ( SV323
!= ( produc1990145943term_b @ ( sK50_SY599 @ SV256 @ SV323 ) @ SV256 ) )
= $false )
| ( ( SV256
= ( produc1223098053term_b @ SV323 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2259]) ).
thf(2303,plain,
! [SV406: allegorical_term_b,SV323: produc1478835367term_b,SV256: allegorical_term_b] :
( ( ( SV256
!= ( produc1223098053term_b @ SV323 ) )
= $false )
| ( ( SV323
= ( produc1990145943term_b @ SV406 @ SV256 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2260]) ).
thf(2304,plain,
! [SV406: allegorical_term_b,SV256: allegorical_term_b,SV323: produc1478835367term_b] :
( ( ( ~ ~ ! [SY599: allegorical_term_b] :
( SV323
!= ( produc1990145943term_b @ SY599 @ SV256 ) ) )
= $false )
| ( ( SV323
= ( produc1990145943term_b @ SV406 @ SV256 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2260]) ).
thf(2305,plain,
! [SV394: produc1478835367term_b,SV326: produc1478835367term_b] :
( ( ( SV326 = SV394 )
= $true )
| ( ( SV326 = SV394 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2261]) ).
thf(2306,plain,
! [SV394: produc1478835367term_b,SV326: produc1478835367term_b] :
( ( ( ~ ( ( ( produc854192515term_b @ SV326 )
!= ( produc854192515term_b @ SV394 ) )
| ( ( produc1223098053term_b @ SV326 )
!= ( produc1223098053term_b @ SV394 ) ) ) )
= $true )
| ( ( SV326 = SV394 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2262]) ).
thf(2307,plain,
! [SV394: produc1478835367term_b,SV326: produc1478835367term_b] :
( ( ( ( produc854192515term_b @ SV326 )
= ( produc854192515term_b @ SV394 ) )
= $false )
| ( ( ( produc1223098053term_b @ SV326 )
!= ( produc1223098053term_b @ SV394 ) )
= $true )
| ( ( ~ ( ( SV326 != SV394 )
| ~ ~ ( ( ( produc854192515term_b @ SV326 )
!= ( produc854192515term_b @ SV394 ) )
| ( ( produc1223098053term_b @ SV326 )
!= ( produc1223098053term_b @ SV394 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2263]) ).
thf(2308,plain,
! [SV374: allegorical_term_b > $o,SV395: allegorical_term_b,SV333: allegorical_term_b,SV266: allegorical_term_b > $o] :
( ( ( SV266 @ ( produc854192515term_b @ ( produc1990145943term_b @ SV333 @ SV395 ) ) )
= $true )
| ( ( SV374 @ SV395 )
= $false )
| ( ( SV266 @ SV333 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2264]) ).
thf(2309,plain,
! [SV266: allegorical_term_b > $o,SV395: allegorical_term_b,SV333: allegorical_term_b,SV374: allegorical_term_b > $o] :
( ( ( SV374 @ ( produc1223098053term_b @ ( produc1990145943term_b @ SV333 @ SV395 ) ) )
= $true )
| ( ( SV374 @ SV395 )
= $false )
| ( ( SV266 @ SV333 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2265]) ).
thf(2310,plain,
! [SV378: labeled_graph_b_nat > $o,SV396: labeled_graph_b_nat,SV338: labeled_graph_b_nat,SV271: labeled_graph_b_nat > $o] :
( ( ( SV271 @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ SV338 @ SV396 ) ) )
= $true )
| ( ( SV378 @ SV396 )
= $false )
| ( ( SV271 @ SV338 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2266]) ).
thf(2311,plain,
! [SV271: labeled_graph_b_nat > $o,SV396: labeled_graph_b_nat,SV338: labeled_graph_b_nat,SV378: labeled_graph_b_nat > $o] :
( ( ( SV378 @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ SV338 @ SV396 ) ) )
= $true )
| ( ( SV378 @ SV396 )
= $false )
| ( ( SV271 @ SV338 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2267]) ).
thf(2312,plain,
! [SV397: allegorical_term_b,SV379: allegorical_term_b,SV339: allegorical_term_b,SV272: allegorical_term_b] :
( ( ( ( produc1990145943term_b @ SV272 @ SV339 )
= ( produc1990145943term_b @ SV379 @ SV397 ) )
= $true )
| ( ( ( produc1990145943term_b @ SV272 @ SV339 )
= ( produc1990145943term_b @ SV379 @ SV397 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2268]) ).
thf(2313,plain,
! [SV397: allegorical_term_b,SV339: allegorical_term_b,SV379: allegorical_term_b,SV272: allegorical_term_b] :
( ( ( ~ ( ( SV272 != SV379 )
| ( SV339 != SV397 ) ) )
= $true )
| ( ( ( produc1990145943term_b @ SV272 @ SV339 )
= ( produc1990145943term_b @ SV379 @ SV397 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2269]) ).
thf(2314,plain,
! [SV397: allegorical_term_b,SV339: allegorical_term_b,SV379: allegorical_term_b,SV272: allegorical_term_b] :
( ( ( SV272 = SV379 )
= $false )
| ( ( SV339 != SV397 )
= $true )
| ( ( ~ ( ( ( produc1990145943term_b @ SV272 @ SV339 )
!= ( produc1990145943term_b @ SV379 @ SV397 ) )
| ~ ~ ( ( SV272 != SV379 )
| ( SV339 != SV397 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2270]) ).
thf(2315,plain,
! [SV277: labeled_graph_b_nat,SV344: produc1235635379_b_nat] :
( ( ( SV344
!= ( produc951298923_b_nat @ ( sK51_SY621 @ SV277 @ SV344 ) @ SV277 ) )
= $false )
| ( ( SV277
= ( produc194497945_b_nat @ SV344 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2271]) ).
thf(2316,plain,
! [SV407: labeled_graph_b_nat,SV344: produc1235635379_b_nat,SV277: labeled_graph_b_nat] :
( ( ( SV277
!= ( produc194497945_b_nat @ SV344 ) )
= $false )
| ( ( SV344
= ( produc951298923_b_nat @ SV407 @ SV277 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2272]) ).
thf(2317,plain,
! [SV407: labeled_graph_b_nat,SV277: labeled_graph_b_nat,SV344: produc1235635379_b_nat] :
( ( ( ~ ~ ! [SY621: labeled_graph_b_nat] :
( SV344
!= ( produc951298923_b_nat @ SY621 @ SV277 ) ) )
= $false )
| ( ( SV344
= ( produc951298923_b_nat @ SV407 @ SV277 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2272]) ).
thf(2318,plain,
! [SV400: allegorical_term_b,SV382: allegorical_term_b,SV347: allegorical_term_b,SV281: allegorical_term_b] :
( ( ( ( produc1990145943term_b @ SV281 @ SV347 )
= ( produc1990145943term_b @ SV382 @ SV400 ) )
= $true )
| ( ( ( produc1990145943term_b @ SV281 @ SV347 )
= ( produc1990145943term_b @ SV382 @ SV400 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2273]) ).
thf(2319,plain,
! [SV400: allegorical_term_b,SV347: allegorical_term_b,SV382: allegorical_term_b,SV281: allegorical_term_b] :
( ( ( ~ ( ( SV281 != SV382 )
| ( SV347 != SV400 ) ) )
= $true )
| ( ( ( produc1990145943term_b @ SV281 @ SV347 )
= ( produc1990145943term_b @ SV382 @ SV400 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2274]) ).
thf(2320,plain,
! [SV400: allegorical_term_b,SV347: allegorical_term_b,SV382: allegorical_term_b,SV281: allegorical_term_b] :
( ( ( SV281 = SV382 )
= $false )
| ( ( SV347 != SV400 )
= $true )
| ( ( ~ ( ( ( produc1990145943term_b @ SV281 @ SV347 )
!= ( produc1990145943term_b @ SV382 @ SV400 ) )
| ~ ~ ( ( SV281 != SV382 )
| ( SV347 != SV400 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2275]) ).
thf(2321,plain,
! [SV352: allegorical_term_b,SV286: allegorical_term_b] :
( ( graph_529870330at_nat @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV286 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV286 @ SV352 ) ) ) ) @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV286 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV286 @ SV352 ) ) ) ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV286 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV286 @ SV352 ) ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2276]) ).
thf(2322,plain,
! [SV352: allegorical_term_b,SV286: allegorical_term_b] :
( ( ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV286 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV286 @ SV352 ) ) ) )
= ( restrict_b_nat @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV286 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV286 @ SV352 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2277]) ).
thf(2323,plain,
! [SV402: labeled_graph_b_nat,SV385: labeled_graph_b_nat,SV353: labeled_graph_b_nat,SV288: labeled_graph_b_nat] :
( ( ( ( produc951298923_b_nat @ SV288 @ SV353 )
= ( produc951298923_b_nat @ SV385 @ SV402 ) )
= $true )
| ( ( ( produc951298923_b_nat @ SV288 @ SV353 )
= ( produc951298923_b_nat @ SV385 @ SV402 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2280]) ).
thf(2324,plain,
! [SV402: labeled_graph_b_nat,SV353: labeled_graph_b_nat,SV385: labeled_graph_b_nat,SV288: labeled_graph_b_nat] :
( ( ( ~ ( ( SV288 != SV385 )
| ( SV353 != SV402 ) ) )
= $true )
| ( ( ( produc951298923_b_nat @ SV288 @ SV353 )
= ( produc951298923_b_nat @ SV385 @ SV402 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2281]) ).
thf(2325,plain,
! [SV402: labeled_graph_b_nat,SV353: labeled_graph_b_nat,SV385: labeled_graph_b_nat,SV288: labeled_graph_b_nat] :
( ( ( SV288 = SV385 )
= $false )
| ( ( SV353 != SV402 )
= $true )
| ( ( ~ ( ( ( produc951298923_b_nat @ SV288 @ SV353 )
!= ( produc951298923_b_nat @ SV385 @ SV402 ) )
| ~ ~ ( ( SV288 != SV385 )
| ( SV353 != SV402 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2282]) ).
thf(2326,plain,
! [SV290: labeled_graph_b_nat,SV355: produc1235635379_b_nat] :
( ( ( SV355
!= ( produc951298923_b_nat @ SV290 @ ( sK52_SY635 @ SV290 @ SV355 ) ) )
= $false )
| ( ( SV290
= ( produc1542243159_b_nat @ SV355 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2283]) ).
thf(2327,plain,
! [SV408: labeled_graph_b_nat,SV355: produc1235635379_b_nat,SV290: labeled_graph_b_nat] :
( ( ( SV290
!= ( produc1542243159_b_nat @ SV355 ) )
= $false )
| ( ( SV355
= ( produc951298923_b_nat @ SV290 @ SV408 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2284]) ).
thf(2328,plain,
! [SV408: labeled_graph_b_nat,SV290: labeled_graph_b_nat,SV355: produc1235635379_b_nat] :
( ( ( ~ ~ ! [SY635: labeled_graph_b_nat] :
( SV355
!= ( produc951298923_b_nat @ SV290 @ SY635 ) ) )
= $false )
| ( ( SV355
= ( produc951298923_b_nat @ SV290 @ SV408 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2284]) ).
thf(2329,plain,
! [SV403: allegorical_term_b,SV386: allegorical_term_b,SV357: allegorical_term_b,SV293: allegorical_term_b] :
( ( ( ( allegorical_A_Int_b @ SV293 @ SV357 )
= ( allegorical_A_Int_b @ SV386 @ SV403 ) )
= $true )
| ( ( ( allegorical_A_Int_b @ SV293 @ SV357 )
= ( allegorical_A_Int_b @ SV386 @ SV403 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2287]) ).
thf(2330,plain,
! [SV403: allegorical_term_b,SV357: allegorical_term_b,SV386: allegorical_term_b,SV293: allegorical_term_b] :
( ( ( ~ ( ( SV293 != SV386 )
| ( SV357 != SV403 ) ) )
= $true )
| ( ( ( allegorical_A_Int_b @ SV293 @ SV357 )
= ( allegorical_A_Int_b @ SV386 @ SV403 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2288]) ).
thf(2331,plain,
! [SV403: allegorical_term_b,SV357: allegorical_term_b,SV386: allegorical_term_b,SV293: allegorical_term_b] :
( ( ( SV293 = SV386 )
= $false )
| ( ( SV357 != SV403 )
= $true )
| ( ( ~ ( ( ( allegorical_A_Int_b @ SV293 @ SV357 )
!= ( allegorical_A_Int_b @ SV386 @ SV403 ) )
| ~ ~ ( ( SV293 != SV386 )
| ( SV357 != SV403 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2289]) ).
thf(2332,plain,
! [SV388: labeled_graph_b_nat,SV303: labeled_graph_b_nat,SV359: labeled_graph_b_nat,SV231: labeled_graph_b_nat] :
( ( ( ( SV231 != SV359 )
| ( SV303 != SV388 ) )
= $false )
| ( ( ( produc951298923_b_nat @ SV231 @ SV303 )
= ( produc951298923_b_nat @ SV359 @ SV388 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2291]) ).
thf(2333,plain,
! [SV359: labeled_graph_b_nat,SV231: labeled_graph_b_nat,SV388: labeled_graph_b_nat,SV303: labeled_graph_b_nat] :
( ( ( SV303 = SV388 )
= $false )
| ( ( SV231 = SV359 )
= $false )
| ( ( ~ ( ( ( produc951298923_b_nat @ SV231 @ SV303 )
!= ( produc951298923_b_nat @ SV359 @ SV388 ) )
| ~ ~ ( ( SV231 != SV359 )
| ( SV303 != SV388 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2292]) ).
thf(2334,plain,
! [SV389: produc1235635379_b_nat,SV307: produc1235635379_b_nat] :
( ( ( ( ( produc1542243159_b_nat @ SV307 )
!= ( produc1542243159_b_nat @ SV389 ) )
| ( ( produc194497945_b_nat @ SV307 )
!= ( produc194497945_b_nat @ SV389 ) ) )
= $false )
| ( ( SV307 = SV389 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2294]) ).
thf(2335,plain,
! [SV389: produc1235635379_b_nat,SV307: produc1235635379_b_nat] :
( ( ( ( produc194497945_b_nat @ SV307 )
= ( produc194497945_b_nat @ SV389 ) )
= $false )
| ( ( ( produc1542243159_b_nat @ SV307 )
= ( produc1542243159_b_nat @ SV389 ) )
= $false )
| ( ( ~ ( ( SV307 != SV389 )
| ~ ~ ( ( ( produc1542243159_b_nat @ SV307 )
!= ( produc1542243159_b_nat @ SV389 ) )
| ( ( produc194497945_b_nat @ SV307 )
!= ( produc194497945_b_nat @ SV389 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2295]) ).
thf(2336,plain,
! [SV319: labeled_graph_b_nat,SV250: labeled_graph_b_nat] :
( ( ( ~ ( ( SV250
!= ( restrict_b_nat @ SV250 ) )
| ( SV319
!= ( restrict_b_nat @ SV319 ) ) ) )
= $true )
| ( ( graph_529870330at_nat @ SV250 @ SV319 @ ( id_on_nat @ ( labele460410879_b_nat @ SV250 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2296]) ).
thf(2337,plain,
! [SV319: labeled_graph_b_nat,SV250: labeled_graph_b_nat] :
( ( ( ( graph_union_b_nat @ SV250 @ SV319 )
= SV319 )
= $true )
| ( ( graph_529870330at_nat @ SV250 @ SV319 @ ( id_on_nat @ ( labele460410879_b_nat @ SV250 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2297]) ).
thf(2338,plain,
! [SV319: labeled_graph_b_nat,SV250: labeled_graph_b_nat] :
( ( ( SV250
= ( restrict_b_nat @ SV250 ) )
= $false )
| ( ( SV319
!= ( restrict_b_nat @ SV319 ) )
= $true )
| ( ( ( graph_union_b_nat @ SV250 @ SV319 )
!= SV319 )
= $true )
| ( ( ~ ( ~ ( graph_529870330at_nat @ SV250 @ SV319 @ ( id_on_nat @ ( labele460410879_b_nat @ SV250 ) ) )
| ~ ~ ( ~ ~ ( ( SV250
!= ( restrict_b_nat @ SV250 ) )
| ( SV319
!= ( restrict_b_nat @ SV319 ) ) )
| ( ( graph_union_b_nat @ SV250 @ SV319 )
!= SV319 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2298]) ).
thf(2339,plain,
! [SV254: allegorical_term_b,SV321: produc1478835367term_b] :
( ( ( SV321
= ( produc1990145943term_b @ SV254 @ ( sK49_SY595 @ SV254 @ SV321 ) ) )
= $true )
| ( ( SV254
= ( produc854192515term_b @ SV321 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2299]) ).
thf(2340,plain,
! [SV405: allegorical_term_b,SV321: produc1478835367term_b,SV254: allegorical_term_b] :
( ( ( SV254
= ( produc854192515term_b @ SV321 ) )
= $true )
| ( ( SV321
= ( produc1990145943term_b @ SV254 @ SV405 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2300]) ).
thf(2341,plain,
! [SV405: allegorical_term_b,SV254: allegorical_term_b,SV321: produc1478835367term_b] :
( ( ( ~ ! [SY595: allegorical_term_b] :
( SV321
!= ( produc1990145943term_b @ SV254 @ SY595 ) ) )
= $true )
| ( ( SV321
= ( produc1990145943term_b @ SV254 @ SV405 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2301]) ).
thf(2342,plain,
! [SV256: allegorical_term_b,SV323: produc1478835367term_b] :
( ( ( SV323
= ( produc1990145943term_b @ ( sK50_SY599 @ SV256 @ SV323 ) @ SV256 ) )
= $true )
| ( ( SV256
= ( produc1223098053term_b @ SV323 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2302]) ).
thf(2343,plain,
! [SV406: allegorical_term_b,SV323: produc1478835367term_b,SV256: allegorical_term_b] :
( ( ( SV256
= ( produc1223098053term_b @ SV323 ) )
= $true )
| ( ( SV323
= ( produc1990145943term_b @ SV406 @ SV256 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2303]) ).
thf(2344,plain,
! [SV406: allegorical_term_b,SV256: allegorical_term_b,SV323: produc1478835367term_b] :
( ( ( ~ ! [SY599: allegorical_term_b] :
( SV323
!= ( produc1990145943term_b @ SY599 @ SV256 ) ) )
= $true )
| ( ( SV323
= ( produc1990145943term_b @ SV406 @ SV256 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2304]) ).
thf(2345,plain,
! [SV394: produc1478835367term_b,SV326: produc1478835367term_b] :
( ( ( ( ( produc854192515term_b @ SV326 )
!= ( produc854192515term_b @ SV394 ) )
| ( ( produc1223098053term_b @ SV326 )
!= ( produc1223098053term_b @ SV394 ) ) )
= $false )
| ( ( SV326 = SV394 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2306]) ).
thf(2346,plain,
! [SV394: produc1478835367term_b,SV326: produc1478835367term_b] :
( ( ( ( produc1223098053term_b @ SV326 )
= ( produc1223098053term_b @ SV394 ) )
= $false )
| ( ( ( produc854192515term_b @ SV326 )
= ( produc854192515term_b @ SV394 ) )
= $false )
| ( ( ~ ( ( SV326 != SV394 )
| ~ ~ ( ( ( produc854192515term_b @ SV326 )
!= ( produc854192515term_b @ SV394 ) )
| ( ( produc1223098053term_b @ SV326 )
!= ( produc1223098053term_b @ SV394 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2307]) ).
thf(2347,plain,
! [SV397: allegorical_term_b,SV339: allegorical_term_b,SV379: allegorical_term_b,SV272: allegorical_term_b] :
( ( ( ( SV272 != SV379 )
| ( SV339 != SV397 ) )
= $false )
| ( ( ( produc1990145943term_b @ SV272 @ SV339 )
= ( produc1990145943term_b @ SV379 @ SV397 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2313]) ).
thf(2348,plain,
! [SV379: allegorical_term_b,SV272: allegorical_term_b,SV397: allegorical_term_b,SV339: allegorical_term_b] :
( ( ( SV339 = SV397 )
= $false )
| ( ( SV272 = SV379 )
= $false )
| ( ( ~ ( ( ( produc1990145943term_b @ SV272 @ SV339 )
!= ( produc1990145943term_b @ SV379 @ SV397 ) )
| ~ ~ ( ( SV272 != SV379 )
| ( SV339 != SV397 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2314]) ).
thf(2349,plain,
! [SV277: labeled_graph_b_nat,SV344: produc1235635379_b_nat] :
( ( ( SV344
= ( produc951298923_b_nat @ ( sK51_SY621 @ SV277 @ SV344 ) @ SV277 ) )
= $true )
| ( ( SV277
= ( produc194497945_b_nat @ SV344 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2315]) ).
thf(2350,plain,
! [SV407: labeled_graph_b_nat,SV344: produc1235635379_b_nat,SV277: labeled_graph_b_nat] :
( ( ( SV277
= ( produc194497945_b_nat @ SV344 ) )
= $true )
| ( ( SV344
= ( produc951298923_b_nat @ SV407 @ SV277 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2316]) ).
thf(2351,plain,
! [SV407: labeled_graph_b_nat,SV277: labeled_graph_b_nat,SV344: produc1235635379_b_nat] :
( ( ( ~ ! [SY621: labeled_graph_b_nat] :
( SV344
!= ( produc951298923_b_nat @ SY621 @ SV277 ) ) )
= $true )
| ( ( SV344
= ( produc951298923_b_nat @ SV407 @ SV277 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2317]) ).
thf(2352,plain,
! [SV400: allegorical_term_b,SV347: allegorical_term_b,SV382: allegorical_term_b,SV281: allegorical_term_b] :
( ( ( ( SV281 != SV382 )
| ( SV347 != SV400 ) )
= $false )
| ( ( ( produc1990145943term_b @ SV281 @ SV347 )
= ( produc1990145943term_b @ SV382 @ SV400 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2319]) ).
thf(2353,plain,
! [SV382: allegorical_term_b,SV281: allegorical_term_b,SV400: allegorical_term_b,SV347: allegorical_term_b] :
( ( ( SV347 = SV400 )
= $false )
| ( ( SV281 = SV382 )
= $false )
| ( ( ~ ( ( ( produc1990145943term_b @ SV281 @ SV347 )
!= ( produc1990145943term_b @ SV382 @ SV400 ) )
| ~ ~ ( ( SV281 != SV382 )
| ( SV347 != SV400 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2320]) ).
thf(2354,plain,
! [SV402: labeled_graph_b_nat,SV353: labeled_graph_b_nat,SV385: labeled_graph_b_nat,SV288: labeled_graph_b_nat] :
( ( ( ( SV288 != SV385 )
| ( SV353 != SV402 ) )
= $false )
| ( ( ( produc951298923_b_nat @ SV288 @ SV353 )
= ( produc951298923_b_nat @ SV385 @ SV402 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2324]) ).
thf(2355,plain,
! [SV385: labeled_graph_b_nat,SV288: labeled_graph_b_nat,SV402: labeled_graph_b_nat,SV353: labeled_graph_b_nat] :
( ( ( SV353 = SV402 )
= $false )
| ( ( SV288 = SV385 )
= $false )
| ( ( ~ ( ( ( produc951298923_b_nat @ SV288 @ SV353 )
!= ( produc951298923_b_nat @ SV385 @ SV402 ) )
| ~ ~ ( ( SV288 != SV385 )
| ( SV353 != SV402 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2325]) ).
thf(2356,plain,
! [SV290: labeled_graph_b_nat,SV355: produc1235635379_b_nat] :
( ( ( SV355
= ( produc951298923_b_nat @ SV290 @ ( sK52_SY635 @ SV290 @ SV355 ) ) )
= $true )
| ( ( SV290
= ( produc1542243159_b_nat @ SV355 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2326]) ).
thf(2357,plain,
! [SV408: labeled_graph_b_nat,SV355: produc1235635379_b_nat,SV290: labeled_graph_b_nat] :
( ( ( SV290
= ( produc1542243159_b_nat @ SV355 ) )
= $true )
| ( ( SV355
= ( produc951298923_b_nat @ SV290 @ SV408 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2327]) ).
thf(2358,plain,
! [SV408: labeled_graph_b_nat,SV290: labeled_graph_b_nat,SV355: produc1235635379_b_nat] :
( ( ( ~ ! [SY635: labeled_graph_b_nat] :
( SV355
!= ( produc951298923_b_nat @ SV290 @ SY635 ) ) )
= $true )
| ( ( SV355
= ( produc951298923_b_nat @ SV290 @ SV408 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2328]) ).
thf(2359,plain,
! [SV403: allegorical_term_b,SV357: allegorical_term_b,SV386: allegorical_term_b,SV293: allegorical_term_b] :
( ( ( ( SV293 != SV386 )
| ( SV357 != SV403 ) )
= $false )
| ( ( ( allegorical_A_Int_b @ SV293 @ SV357 )
= ( allegorical_A_Int_b @ SV386 @ SV403 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2330]) ).
thf(2360,plain,
! [SV386: allegorical_term_b,SV293: allegorical_term_b,SV403: allegorical_term_b,SV357: allegorical_term_b] :
( ( ( SV357 = SV403 )
= $false )
| ( ( SV293 = SV386 )
= $false )
| ( ( ~ ( ( ( allegorical_A_Int_b @ SV293 @ SV357 )
!= ( allegorical_A_Int_b @ SV386 @ SV403 ) )
| ~ ~ ( ( SV293 != SV386 )
| ( SV357 != SV403 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2331]) ).
thf(2361,plain,
! [SV388: labeled_graph_b_nat,SV303: labeled_graph_b_nat,SV359: labeled_graph_b_nat,SV231: labeled_graph_b_nat] :
( ( ( SV231 != SV359 )
= $false )
| ( ( ( produc951298923_b_nat @ SV231 @ SV303 )
= ( produc951298923_b_nat @ SV359 @ SV388 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2332]) ).
thf(2362,plain,
! [SV359: labeled_graph_b_nat,SV231: labeled_graph_b_nat,SV388: labeled_graph_b_nat,SV303: labeled_graph_b_nat] :
( ( ( SV303 != SV388 )
= $false )
| ( ( ( produc951298923_b_nat @ SV231 @ SV303 )
= ( produc951298923_b_nat @ SV359 @ SV388 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2332]) ).
thf(2363,plain,
! [SV388: labeled_graph_b_nat,SV359: labeled_graph_b_nat,SV303: labeled_graph_b_nat,SV231: labeled_graph_b_nat] :
( ( ( ( ( produc951298923_b_nat @ SV231 @ SV303 )
!= ( produc951298923_b_nat @ SV359 @ SV388 ) )
| ~ ~ ( ( SV231 != SV359 )
| ( SV303 != SV388 ) ) )
= $false )
| ( ( SV231 = SV359 )
= $false )
| ( ( SV303 = SV388 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2333]) ).
thf(2364,plain,
! [SV389: produc1235635379_b_nat,SV307: produc1235635379_b_nat] :
( ( ( ( produc1542243159_b_nat @ SV307 )
!= ( produc1542243159_b_nat @ SV389 ) )
= $false )
| ( ( SV307 = SV389 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2334]) ).
thf(2365,plain,
! [SV389: produc1235635379_b_nat,SV307: produc1235635379_b_nat] :
( ( ( ( produc194497945_b_nat @ SV307 )
!= ( produc194497945_b_nat @ SV389 ) )
= $false )
| ( ( SV307 = SV389 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2334]) ).
thf(2366,plain,
! [SV389: produc1235635379_b_nat,SV307: produc1235635379_b_nat] :
( ( ( ( SV307 != SV389 )
| ~ ~ ( ( ( produc1542243159_b_nat @ SV307 )
!= ( produc1542243159_b_nat @ SV389 ) )
| ( ( produc194497945_b_nat @ SV307 )
!= ( produc194497945_b_nat @ SV389 ) ) ) )
= $false )
| ( ( ( produc1542243159_b_nat @ SV307 )
= ( produc1542243159_b_nat @ SV389 ) )
= $false )
| ( ( ( produc194497945_b_nat @ SV307 )
= ( produc194497945_b_nat @ SV389 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2335]) ).
thf(2367,plain,
! [SV319: labeled_graph_b_nat,SV250: labeled_graph_b_nat] :
( ( ( ( SV250
!= ( restrict_b_nat @ SV250 ) )
| ( SV319
!= ( restrict_b_nat @ SV319 ) ) )
= $false )
| ( ( graph_529870330at_nat @ SV250 @ SV319 @ ( id_on_nat @ ( labele460410879_b_nat @ SV250 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2336]) ).
thf(2368,plain,
! [SV250: labeled_graph_b_nat,SV319: labeled_graph_b_nat] :
( ( ( SV319
= ( restrict_b_nat @ SV319 ) )
= $false )
| ( ( SV250
= ( restrict_b_nat @ SV250 ) )
= $false )
| ( ( ( graph_union_b_nat @ SV250 @ SV319 )
!= SV319 )
= $true )
| ( ( ~ ( ~ ( graph_529870330at_nat @ SV250 @ SV319 @ ( id_on_nat @ ( labele460410879_b_nat @ SV250 ) ) )
| ~ ~ ( ~ ~ ( ( SV250
!= ( restrict_b_nat @ SV250 ) )
| ( SV319
!= ( restrict_b_nat @ SV319 ) ) )
| ( ( graph_union_b_nat @ SV250 @ SV319 )
!= SV319 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2338]) ).
thf(2369,plain,
! [SV405: allegorical_term_b,SV254: allegorical_term_b,SV321: produc1478835367term_b] :
( ( ( ! [SY595: allegorical_term_b] :
( SV321
!= ( produc1990145943term_b @ SV254 @ SY595 ) ) )
= $false )
| ( ( SV321
= ( produc1990145943term_b @ SV254 @ SV405 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2341]) ).
thf(2370,plain,
! [SV406: allegorical_term_b,SV256: allegorical_term_b,SV323: produc1478835367term_b] :
( ( ( ! [SY599: allegorical_term_b] :
( SV323
!= ( produc1990145943term_b @ SY599 @ SV256 ) ) )
= $false )
| ( ( SV323
= ( produc1990145943term_b @ SV406 @ SV256 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2344]) ).
thf(2371,plain,
! [SV394: produc1478835367term_b,SV326: produc1478835367term_b] :
( ( ( ( produc854192515term_b @ SV326 )
!= ( produc854192515term_b @ SV394 ) )
= $false )
| ( ( SV326 = SV394 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2345]) ).
thf(2372,plain,
! [SV394: produc1478835367term_b,SV326: produc1478835367term_b] :
( ( ( ( produc1223098053term_b @ SV326 )
!= ( produc1223098053term_b @ SV394 ) )
= $false )
| ( ( SV326 = SV394 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2345]) ).
thf(2373,plain,
! [SV394: produc1478835367term_b,SV326: produc1478835367term_b] :
( ( ( ( SV326 != SV394 )
| ~ ~ ( ( ( produc854192515term_b @ SV326 )
!= ( produc854192515term_b @ SV394 ) )
| ( ( produc1223098053term_b @ SV326 )
!= ( produc1223098053term_b @ SV394 ) ) ) )
= $false )
| ( ( ( produc854192515term_b @ SV326 )
= ( produc854192515term_b @ SV394 ) )
= $false )
| ( ( ( produc1223098053term_b @ SV326 )
= ( produc1223098053term_b @ SV394 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2346]) ).
thf(2374,plain,
! [SV397: allegorical_term_b,SV339: allegorical_term_b,SV379: allegorical_term_b,SV272: allegorical_term_b] :
( ( ( SV272 != SV379 )
= $false )
| ( ( ( produc1990145943term_b @ SV272 @ SV339 )
= ( produc1990145943term_b @ SV379 @ SV397 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2347]) ).
thf(2375,plain,
! [SV379: allegorical_term_b,SV272: allegorical_term_b,SV397: allegorical_term_b,SV339: allegorical_term_b] :
( ( ( SV339 != SV397 )
= $false )
| ( ( ( produc1990145943term_b @ SV272 @ SV339 )
= ( produc1990145943term_b @ SV379 @ SV397 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2347]) ).
thf(2376,plain,
! [SV397: allegorical_term_b,SV379: allegorical_term_b,SV339: allegorical_term_b,SV272: allegorical_term_b] :
( ( ( ( ( produc1990145943term_b @ SV272 @ SV339 )
!= ( produc1990145943term_b @ SV379 @ SV397 ) )
| ~ ~ ( ( SV272 != SV379 )
| ( SV339 != SV397 ) ) )
= $false )
| ( ( SV272 = SV379 )
= $false )
| ( ( SV339 = SV397 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2348]) ).
thf(2377,plain,
! [SV407: labeled_graph_b_nat,SV277: labeled_graph_b_nat,SV344: produc1235635379_b_nat] :
( ( ( ! [SY621: labeled_graph_b_nat] :
( SV344
!= ( produc951298923_b_nat @ SY621 @ SV277 ) ) )
= $false )
| ( ( SV344
= ( produc951298923_b_nat @ SV407 @ SV277 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2351]) ).
thf(2378,plain,
! [SV400: allegorical_term_b,SV347: allegorical_term_b,SV382: allegorical_term_b,SV281: allegorical_term_b] :
( ( ( SV281 != SV382 )
= $false )
| ( ( ( produc1990145943term_b @ SV281 @ SV347 )
= ( produc1990145943term_b @ SV382 @ SV400 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2352]) ).
thf(2379,plain,
! [SV382: allegorical_term_b,SV281: allegorical_term_b,SV400: allegorical_term_b,SV347: allegorical_term_b] :
( ( ( SV347 != SV400 )
= $false )
| ( ( ( produc1990145943term_b @ SV281 @ SV347 )
= ( produc1990145943term_b @ SV382 @ SV400 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2352]) ).
thf(2380,plain,
! [SV400: allegorical_term_b,SV382: allegorical_term_b,SV347: allegorical_term_b,SV281: allegorical_term_b] :
( ( ( ( ( produc1990145943term_b @ SV281 @ SV347 )
!= ( produc1990145943term_b @ SV382 @ SV400 ) )
| ~ ~ ( ( SV281 != SV382 )
| ( SV347 != SV400 ) ) )
= $false )
| ( ( SV281 = SV382 )
= $false )
| ( ( SV347 = SV400 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2353]) ).
thf(2381,plain,
! [SV402: labeled_graph_b_nat,SV353: labeled_graph_b_nat,SV385: labeled_graph_b_nat,SV288: labeled_graph_b_nat] :
( ( ( SV288 != SV385 )
= $false )
| ( ( ( produc951298923_b_nat @ SV288 @ SV353 )
= ( produc951298923_b_nat @ SV385 @ SV402 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2354]) ).
thf(2382,plain,
! [SV385: labeled_graph_b_nat,SV288: labeled_graph_b_nat,SV402: labeled_graph_b_nat,SV353: labeled_graph_b_nat] :
( ( ( SV353 != SV402 )
= $false )
| ( ( ( produc951298923_b_nat @ SV288 @ SV353 )
= ( produc951298923_b_nat @ SV385 @ SV402 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2354]) ).
thf(2383,plain,
! [SV402: labeled_graph_b_nat,SV385: labeled_graph_b_nat,SV353: labeled_graph_b_nat,SV288: labeled_graph_b_nat] :
( ( ( ( ( produc951298923_b_nat @ SV288 @ SV353 )
!= ( produc951298923_b_nat @ SV385 @ SV402 ) )
| ~ ~ ( ( SV288 != SV385 )
| ( SV353 != SV402 ) ) )
= $false )
| ( ( SV288 = SV385 )
= $false )
| ( ( SV353 = SV402 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2355]) ).
thf(2384,plain,
! [SV408: labeled_graph_b_nat,SV290: labeled_graph_b_nat,SV355: produc1235635379_b_nat] :
( ( ( ! [SY635: labeled_graph_b_nat] :
( SV355
!= ( produc951298923_b_nat @ SV290 @ SY635 ) ) )
= $false )
| ( ( SV355
= ( produc951298923_b_nat @ SV290 @ SV408 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2358]) ).
thf(2385,plain,
! [SV403: allegorical_term_b,SV357: allegorical_term_b,SV386: allegorical_term_b,SV293: allegorical_term_b] :
( ( ( SV293 != SV386 )
= $false )
| ( ( ( allegorical_A_Int_b @ SV293 @ SV357 )
= ( allegorical_A_Int_b @ SV386 @ SV403 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2359]) ).
thf(2386,plain,
! [SV386: allegorical_term_b,SV293: allegorical_term_b,SV403: allegorical_term_b,SV357: allegorical_term_b] :
( ( ( SV357 != SV403 )
= $false )
| ( ( ( allegorical_A_Int_b @ SV293 @ SV357 )
= ( allegorical_A_Int_b @ SV386 @ SV403 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2359]) ).
thf(2387,plain,
! [SV403: allegorical_term_b,SV386: allegorical_term_b,SV357: allegorical_term_b,SV293: allegorical_term_b] :
( ( ( ( ( allegorical_A_Int_b @ SV293 @ SV357 )
!= ( allegorical_A_Int_b @ SV386 @ SV403 ) )
| ~ ~ ( ( SV293 != SV386 )
| ( SV357 != SV403 ) ) )
= $false )
| ( ( SV293 = SV386 )
= $false )
| ( ( SV357 = SV403 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2360]) ).
thf(2388,plain,
! [SV388: labeled_graph_b_nat,SV303: labeled_graph_b_nat,SV359: labeled_graph_b_nat,SV231: labeled_graph_b_nat] :
( ( ( SV231 = SV359 )
= $true )
| ( ( ( produc951298923_b_nat @ SV231 @ SV303 )
= ( produc951298923_b_nat @ SV359 @ SV388 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2361]) ).
thf(2389,plain,
! [SV359: labeled_graph_b_nat,SV231: labeled_graph_b_nat,SV388: labeled_graph_b_nat,SV303: labeled_graph_b_nat] :
( ( ( SV303 = SV388 )
= $true )
| ( ( ( produc951298923_b_nat @ SV231 @ SV303 )
= ( produc951298923_b_nat @ SV359 @ SV388 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2362]) ).
thf(2390,plain,
! [SV388: labeled_graph_b_nat,SV359: labeled_graph_b_nat,SV303: labeled_graph_b_nat,SV231: labeled_graph_b_nat] :
( ( ( ( produc951298923_b_nat @ SV231 @ SV303 )
!= ( produc951298923_b_nat @ SV359 @ SV388 ) )
= $false )
| ( ( SV231 = SV359 )
= $false )
| ( ( SV303 = SV388 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2363]) ).
thf(2391,plain,
! [SV388: labeled_graph_b_nat,SV303: labeled_graph_b_nat,SV359: labeled_graph_b_nat,SV231: labeled_graph_b_nat] :
( ( ( ~ ~ ( ( SV231 != SV359 )
| ( SV303 != SV388 ) ) )
= $false )
| ( ( SV231 = SV359 )
= $false )
| ( ( SV303 = SV388 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2363]) ).
thf(2392,plain,
! [SV389: produc1235635379_b_nat,SV307: produc1235635379_b_nat] :
( ( ( ( produc1542243159_b_nat @ SV307 )
= ( produc1542243159_b_nat @ SV389 ) )
= $true )
| ( ( SV307 = SV389 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2364]) ).
thf(2393,plain,
! [SV389: produc1235635379_b_nat,SV307: produc1235635379_b_nat] :
( ( ( ( produc194497945_b_nat @ SV307 )
= ( produc194497945_b_nat @ SV389 ) )
= $true )
| ( ( SV307 = SV389 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2365]) ).
thf(2394,plain,
! [SV389: produc1235635379_b_nat,SV307: produc1235635379_b_nat] :
( ( ( SV307 != SV389 )
= $false )
| ( ( ( produc1542243159_b_nat @ SV307 )
= ( produc1542243159_b_nat @ SV389 ) )
= $false )
| ( ( ( produc194497945_b_nat @ SV307 )
= ( produc194497945_b_nat @ SV389 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2366]) ).
thf(2395,plain,
! [SV389: produc1235635379_b_nat,SV307: produc1235635379_b_nat] :
( ( ( ~ ~ ( ( ( produc1542243159_b_nat @ SV307 )
!= ( produc1542243159_b_nat @ SV389 ) )
| ( ( produc194497945_b_nat @ SV307 )
!= ( produc194497945_b_nat @ SV389 ) ) ) )
= $false )
| ( ( ( produc1542243159_b_nat @ SV307 )
= ( produc1542243159_b_nat @ SV389 ) )
= $false )
| ( ( ( produc194497945_b_nat @ SV307 )
= ( produc194497945_b_nat @ SV389 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2366]) ).
thf(2396,plain,
! [SV319: labeled_graph_b_nat,SV250: labeled_graph_b_nat] :
( ( ( SV250
!= ( restrict_b_nat @ SV250 ) )
= $false )
| ( ( graph_529870330at_nat @ SV250 @ SV319 @ ( id_on_nat @ ( labele460410879_b_nat @ SV250 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2367]) ).
thf(2397,plain,
! [SV250: labeled_graph_b_nat,SV319: labeled_graph_b_nat] :
( ( ( SV319
!= ( restrict_b_nat @ SV319 ) )
= $false )
| ( ( graph_529870330at_nat @ SV250 @ SV319 @ ( id_on_nat @ ( labele460410879_b_nat @ SV250 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2367]) ).
thf(2398,plain,
! [SV319: labeled_graph_b_nat,SV250: labeled_graph_b_nat] :
( ( ( ( graph_union_b_nat @ SV250 @ SV319 )
= SV319 )
= $false )
| ( ( SV250
= ( restrict_b_nat @ SV250 ) )
= $false )
| ( ( SV319
= ( restrict_b_nat @ SV319 ) )
= $false )
| ( ( ~ ( ~ ( graph_529870330at_nat @ SV250 @ SV319 @ ( id_on_nat @ ( labele460410879_b_nat @ SV250 ) ) )
| ~ ~ ( ~ ~ ( ( SV250
!= ( restrict_b_nat @ SV250 ) )
| ( SV319
!= ( restrict_b_nat @ SV319 ) ) )
| ( ( graph_union_b_nat @ SV250 @ SV319 )
!= SV319 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2368]) ).
thf(2399,plain,
! [SV405: allegorical_term_b,SV254: allegorical_term_b,SV321: produc1478835367term_b] :
( ( ( SV321
!= ( produc1990145943term_b @ SV254 @ ( sK53_SY595 @ SV405 @ SV254 @ SV321 ) ) )
= $false )
| ( ( SV321
= ( produc1990145943term_b @ SV254 @ SV405 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2369]) ).
thf(2400,plain,
! [SV256: allegorical_term_b,SV406: allegorical_term_b,SV323: produc1478835367term_b] :
( ( ( SV323
!= ( produc1990145943term_b @ ( sK54_SY599 @ SV406 @ SV256 @ SV323 ) @ SV256 ) )
= $false )
| ( ( SV323
= ( produc1990145943term_b @ SV406 @ SV256 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2370]) ).
thf(2401,plain,
! [SV394: produc1478835367term_b,SV326: produc1478835367term_b] :
( ( ( ( produc854192515term_b @ SV326 )
= ( produc854192515term_b @ SV394 ) )
= $true )
| ( ( SV326 = SV394 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2371]) ).
thf(2402,plain,
! [SV394: produc1478835367term_b,SV326: produc1478835367term_b] :
( ( ( ( produc1223098053term_b @ SV326 )
= ( produc1223098053term_b @ SV394 ) )
= $true )
| ( ( SV326 = SV394 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2372]) ).
thf(2403,plain,
! [SV394: produc1478835367term_b,SV326: produc1478835367term_b] :
( ( ( SV326 != SV394 )
= $false )
| ( ( ( produc854192515term_b @ SV326 )
= ( produc854192515term_b @ SV394 ) )
= $false )
| ( ( ( produc1223098053term_b @ SV326 )
= ( produc1223098053term_b @ SV394 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2373]) ).
thf(2404,plain,
! [SV394: produc1478835367term_b,SV326: produc1478835367term_b] :
( ( ( ~ ~ ( ( ( produc854192515term_b @ SV326 )
!= ( produc854192515term_b @ SV394 ) )
| ( ( produc1223098053term_b @ SV326 )
!= ( produc1223098053term_b @ SV394 ) ) ) )
= $false )
| ( ( ( produc854192515term_b @ SV326 )
= ( produc854192515term_b @ SV394 ) )
= $false )
| ( ( ( produc1223098053term_b @ SV326 )
= ( produc1223098053term_b @ SV394 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2373]) ).
thf(2405,plain,
! [SV397: allegorical_term_b,SV339: allegorical_term_b,SV379: allegorical_term_b,SV272: allegorical_term_b] :
( ( ( SV272 = SV379 )
= $true )
| ( ( ( produc1990145943term_b @ SV272 @ SV339 )
= ( produc1990145943term_b @ SV379 @ SV397 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2374]) ).
thf(2406,plain,
! [SV379: allegorical_term_b,SV272: allegorical_term_b,SV397: allegorical_term_b,SV339: allegorical_term_b] :
( ( ( SV339 = SV397 )
= $true )
| ( ( ( produc1990145943term_b @ SV272 @ SV339 )
= ( produc1990145943term_b @ SV379 @ SV397 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2375]) ).
thf(2407,plain,
! [SV397: allegorical_term_b,SV379: allegorical_term_b,SV339: allegorical_term_b,SV272: allegorical_term_b] :
( ( ( ( produc1990145943term_b @ SV272 @ SV339 )
!= ( produc1990145943term_b @ SV379 @ SV397 ) )
= $false )
| ( ( SV272 = SV379 )
= $false )
| ( ( SV339 = SV397 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2376]) ).
thf(2408,plain,
! [SV397: allegorical_term_b,SV339: allegorical_term_b,SV379: allegorical_term_b,SV272: allegorical_term_b] :
( ( ( ~ ~ ( ( SV272 != SV379 )
| ( SV339 != SV397 ) ) )
= $false )
| ( ( SV272 = SV379 )
= $false )
| ( ( SV339 = SV397 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2376]) ).
thf(2409,plain,
! [SV277: labeled_graph_b_nat,SV407: labeled_graph_b_nat,SV344: produc1235635379_b_nat] :
( ( ( SV344
!= ( produc951298923_b_nat @ ( sK55_SY621 @ SV407 @ SV277 @ SV344 ) @ SV277 ) )
= $false )
| ( ( SV344
= ( produc951298923_b_nat @ SV407 @ SV277 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2377]) ).
thf(2410,plain,
! [SV400: allegorical_term_b,SV347: allegorical_term_b,SV382: allegorical_term_b,SV281: allegorical_term_b] :
( ( ( SV281 = SV382 )
= $true )
| ( ( ( produc1990145943term_b @ SV281 @ SV347 )
= ( produc1990145943term_b @ SV382 @ SV400 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2378]) ).
thf(2411,plain,
! [SV382: allegorical_term_b,SV281: allegorical_term_b,SV400: allegorical_term_b,SV347: allegorical_term_b] :
( ( ( SV347 = SV400 )
= $true )
| ( ( ( produc1990145943term_b @ SV281 @ SV347 )
= ( produc1990145943term_b @ SV382 @ SV400 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2379]) ).
thf(2412,plain,
! [SV400: allegorical_term_b,SV382: allegorical_term_b,SV347: allegorical_term_b,SV281: allegorical_term_b] :
( ( ( ( produc1990145943term_b @ SV281 @ SV347 )
!= ( produc1990145943term_b @ SV382 @ SV400 ) )
= $false )
| ( ( SV281 = SV382 )
= $false )
| ( ( SV347 = SV400 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2380]) ).
thf(2413,plain,
! [SV400: allegorical_term_b,SV347: allegorical_term_b,SV382: allegorical_term_b,SV281: allegorical_term_b] :
( ( ( ~ ~ ( ( SV281 != SV382 )
| ( SV347 != SV400 ) ) )
= $false )
| ( ( SV281 = SV382 )
= $false )
| ( ( SV347 = SV400 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2380]) ).
thf(2414,plain,
! [SV402: labeled_graph_b_nat,SV353: labeled_graph_b_nat,SV385: labeled_graph_b_nat,SV288: labeled_graph_b_nat] :
( ( ( SV288 = SV385 )
= $true )
| ( ( ( produc951298923_b_nat @ SV288 @ SV353 )
= ( produc951298923_b_nat @ SV385 @ SV402 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2381]) ).
thf(2415,plain,
! [SV385: labeled_graph_b_nat,SV288: labeled_graph_b_nat,SV402: labeled_graph_b_nat,SV353: labeled_graph_b_nat] :
( ( ( SV353 = SV402 )
= $true )
| ( ( ( produc951298923_b_nat @ SV288 @ SV353 )
= ( produc951298923_b_nat @ SV385 @ SV402 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2382]) ).
thf(2416,plain,
! [SV402: labeled_graph_b_nat,SV385: labeled_graph_b_nat,SV353: labeled_graph_b_nat,SV288: labeled_graph_b_nat] :
( ( ( ( produc951298923_b_nat @ SV288 @ SV353 )
!= ( produc951298923_b_nat @ SV385 @ SV402 ) )
= $false )
| ( ( SV288 = SV385 )
= $false )
| ( ( SV353 = SV402 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2383]) ).
thf(2417,plain,
! [SV402: labeled_graph_b_nat,SV353: labeled_graph_b_nat,SV385: labeled_graph_b_nat,SV288: labeled_graph_b_nat] :
( ( ( ~ ~ ( ( SV288 != SV385 )
| ( SV353 != SV402 ) ) )
= $false )
| ( ( SV288 = SV385 )
= $false )
| ( ( SV353 = SV402 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2383]) ).
thf(2418,plain,
! [SV408: labeled_graph_b_nat,SV290: labeled_graph_b_nat,SV355: produc1235635379_b_nat] :
( ( ( SV355
!= ( produc951298923_b_nat @ SV290 @ ( sK56_SY635 @ SV408 @ SV290 @ SV355 ) ) )
= $false )
| ( ( SV355
= ( produc951298923_b_nat @ SV290 @ SV408 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2384]) ).
thf(2419,plain,
! [SV403: allegorical_term_b,SV357: allegorical_term_b,SV386: allegorical_term_b,SV293: allegorical_term_b] :
( ( ( SV293 = SV386 )
= $true )
| ( ( ( allegorical_A_Int_b @ SV293 @ SV357 )
= ( allegorical_A_Int_b @ SV386 @ SV403 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2385]) ).
thf(2420,plain,
! [SV386: allegorical_term_b,SV293: allegorical_term_b,SV403: allegorical_term_b,SV357: allegorical_term_b] :
( ( ( SV357 = SV403 )
= $true )
| ( ( ( allegorical_A_Int_b @ SV293 @ SV357 )
= ( allegorical_A_Int_b @ SV386 @ SV403 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2386]) ).
thf(2421,plain,
! [SV403: allegorical_term_b,SV386: allegorical_term_b,SV357: allegorical_term_b,SV293: allegorical_term_b] :
( ( ( ( allegorical_A_Int_b @ SV293 @ SV357 )
!= ( allegorical_A_Int_b @ SV386 @ SV403 ) )
= $false )
| ( ( SV293 = SV386 )
= $false )
| ( ( SV357 = SV403 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2387]) ).
thf(2422,plain,
! [SV403: allegorical_term_b,SV357: allegorical_term_b,SV386: allegorical_term_b,SV293: allegorical_term_b] :
( ( ( ~ ~ ( ( SV293 != SV386 )
| ( SV357 != SV403 ) ) )
= $false )
| ( ( SV293 = SV386 )
= $false )
| ( ( SV357 = SV403 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2387]) ).
thf(2423,plain,
! [SV388: labeled_graph_b_nat,SV359: labeled_graph_b_nat,SV303: labeled_graph_b_nat,SV231: labeled_graph_b_nat] :
( ( ( ( produc951298923_b_nat @ SV231 @ SV303 )
= ( produc951298923_b_nat @ SV359 @ SV388 ) )
= $true )
| ( ( SV231 = SV359 )
= $false )
| ( ( SV303 = SV388 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2390]) ).
thf(2424,plain,
! [SV388: labeled_graph_b_nat,SV303: labeled_graph_b_nat,SV359: labeled_graph_b_nat,SV231: labeled_graph_b_nat] :
( ( ( ~ ( ( SV231 != SV359 )
| ( SV303 != SV388 ) ) )
= $true )
| ( ( SV231 = SV359 )
= $false )
| ( ( SV303 = SV388 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2391]) ).
thf(2425,plain,
! [SV389: produc1235635379_b_nat,SV307: produc1235635379_b_nat] :
( ( ( SV307 = SV389 )
= $true )
| ( ( ( produc1542243159_b_nat @ SV307 )
= ( produc1542243159_b_nat @ SV389 ) )
= $false )
| ( ( ( produc194497945_b_nat @ SV307 )
= ( produc194497945_b_nat @ SV389 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2394]) ).
thf(2426,plain,
! [SV389: produc1235635379_b_nat,SV307: produc1235635379_b_nat] :
( ( ( ~ ( ( ( produc1542243159_b_nat @ SV307 )
!= ( produc1542243159_b_nat @ SV389 ) )
| ( ( produc194497945_b_nat @ SV307 )
!= ( produc194497945_b_nat @ SV389 ) ) ) )
= $true )
| ( ( ( produc1542243159_b_nat @ SV307 )
= ( produc1542243159_b_nat @ SV389 ) )
= $false )
| ( ( ( produc194497945_b_nat @ SV307 )
= ( produc194497945_b_nat @ SV389 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2395]) ).
thf(2427,plain,
! [SV319: labeled_graph_b_nat,SV250: labeled_graph_b_nat] :
( ( ( SV250
= ( restrict_b_nat @ SV250 ) )
= $true )
| ( ( graph_529870330at_nat @ SV250 @ SV319 @ ( id_on_nat @ ( labele460410879_b_nat @ SV250 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2396]) ).
thf(2428,plain,
! [SV250: labeled_graph_b_nat,SV319: labeled_graph_b_nat] :
( ( ( SV319
= ( restrict_b_nat @ SV319 ) )
= $true )
| ( ( graph_529870330at_nat @ SV250 @ SV319 @ ( id_on_nat @ ( labele460410879_b_nat @ SV250 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2397]) ).
thf(2429,plain,
! [SV319: labeled_graph_b_nat,SV250: labeled_graph_b_nat] :
( ( ( ~ ( graph_529870330at_nat @ SV250 @ SV319 @ ( id_on_nat @ ( labele460410879_b_nat @ SV250 ) ) )
| ~ ~ ( ~ ~ ( ( SV250
!= ( restrict_b_nat @ SV250 ) )
| ( SV319
!= ( restrict_b_nat @ SV319 ) ) )
| ( ( graph_union_b_nat @ SV250 @ SV319 )
!= SV319 ) ) )
= $false )
| ( ( SV319
= ( restrict_b_nat @ SV319 ) )
= $false )
| ( ( SV250
= ( restrict_b_nat @ SV250 ) )
= $false )
| ( ( ( graph_union_b_nat @ SV250 @ SV319 )
= SV319 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2398]) ).
thf(2430,plain,
! [SV405: allegorical_term_b,SV254: allegorical_term_b,SV321: produc1478835367term_b] :
( ( ( SV321
= ( produc1990145943term_b @ SV254 @ ( sK53_SY595 @ SV405 @ SV254 @ SV321 ) ) )
= $true )
| ( ( SV321
= ( produc1990145943term_b @ SV254 @ SV405 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2399]) ).
thf(2431,plain,
! [SV256: allegorical_term_b,SV406: allegorical_term_b,SV323: produc1478835367term_b] :
( ( ( SV323
= ( produc1990145943term_b @ ( sK54_SY599 @ SV406 @ SV256 @ SV323 ) @ SV256 ) )
= $true )
| ( ( SV323
= ( produc1990145943term_b @ SV406 @ SV256 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2400]) ).
thf(2432,plain,
! [SV394: produc1478835367term_b,SV326: produc1478835367term_b] :
( ( ( SV326 = SV394 )
= $true )
| ( ( ( produc854192515term_b @ SV326 )
= ( produc854192515term_b @ SV394 ) )
= $false )
| ( ( ( produc1223098053term_b @ SV326 )
= ( produc1223098053term_b @ SV394 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2403]) ).
thf(2433,plain,
! [SV394: produc1478835367term_b,SV326: produc1478835367term_b] :
( ( ( ~ ( ( ( produc854192515term_b @ SV326 )
!= ( produc854192515term_b @ SV394 ) )
| ( ( produc1223098053term_b @ SV326 )
!= ( produc1223098053term_b @ SV394 ) ) ) )
= $true )
| ( ( ( produc854192515term_b @ SV326 )
= ( produc854192515term_b @ SV394 ) )
= $false )
| ( ( ( produc1223098053term_b @ SV326 )
= ( produc1223098053term_b @ SV394 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2404]) ).
thf(2434,plain,
! [SV397: allegorical_term_b,SV379: allegorical_term_b,SV339: allegorical_term_b,SV272: allegorical_term_b] :
( ( ( ( produc1990145943term_b @ SV272 @ SV339 )
= ( produc1990145943term_b @ SV379 @ SV397 ) )
= $true )
| ( ( SV272 = SV379 )
= $false )
| ( ( SV339 = SV397 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2407]) ).
thf(2435,plain,
! [SV397: allegorical_term_b,SV339: allegorical_term_b,SV379: allegorical_term_b,SV272: allegorical_term_b] :
( ( ( ~ ( ( SV272 != SV379 )
| ( SV339 != SV397 ) ) )
= $true )
| ( ( SV272 = SV379 )
= $false )
| ( ( SV339 = SV397 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2408]) ).
thf(2436,plain,
! [SV277: labeled_graph_b_nat,SV407: labeled_graph_b_nat,SV344: produc1235635379_b_nat] :
( ( ( SV344
= ( produc951298923_b_nat @ ( sK55_SY621 @ SV407 @ SV277 @ SV344 ) @ SV277 ) )
= $true )
| ( ( SV344
= ( produc951298923_b_nat @ SV407 @ SV277 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2409]) ).
thf(2437,plain,
! [SV400: allegorical_term_b,SV382: allegorical_term_b,SV347: allegorical_term_b,SV281: allegorical_term_b] :
( ( ( ( produc1990145943term_b @ SV281 @ SV347 )
= ( produc1990145943term_b @ SV382 @ SV400 ) )
= $true )
| ( ( SV281 = SV382 )
= $false )
| ( ( SV347 = SV400 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2412]) ).
thf(2438,plain,
! [SV400: allegorical_term_b,SV347: allegorical_term_b,SV382: allegorical_term_b,SV281: allegorical_term_b] :
( ( ( ~ ( ( SV281 != SV382 )
| ( SV347 != SV400 ) ) )
= $true )
| ( ( SV281 = SV382 )
= $false )
| ( ( SV347 = SV400 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2413]) ).
thf(2439,plain,
! [SV402: labeled_graph_b_nat,SV385: labeled_graph_b_nat,SV353: labeled_graph_b_nat,SV288: labeled_graph_b_nat] :
( ( ( ( produc951298923_b_nat @ SV288 @ SV353 )
= ( produc951298923_b_nat @ SV385 @ SV402 ) )
= $true )
| ( ( SV288 = SV385 )
= $false )
| ( ( SV353 = SV402 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2416]) ).
thf(2440,plain,
! [SV402: labeled_graph_b_nat,SV353: labeled_graph_b_nat,SV385: labeled_graph_b_nat,SV288: labeled_graph_b_nat] :
( ( ( ~ ( ( SV288 != SV385 )
| ( SV353 != SV402 ) ) )
= $true )
| ( ( SV288 = SV385 )
= $false )
| ( ( SV353 = SV402 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2417]) ).
thf(2441,plain,
! [SV408: labeled_graph_b_nat,SV290: labeled_graph_b_nat,SV355: produc1235635379_b_nat] :
( ( ( SV355
= ( produc951298923_b_nat @ SV290 @ ( sK56_SY635 @ SV408 @ SV290 @ SV355 ) ) )
= $true )
| ( ( SV355
= ( produc951298923_b_nat @ SV290 @ SV408 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2418]) ).
thf(2442,plain,
! [SV403: allegorical_term_b,SV386: allegorical_term_b,SV357: allegorical_term_b,SV293: allegorical_term_b] :
( ( ( ( allegorical_A_Int_b @ SV293 @ SV357 )
= ( allegorical_A_Int_b @ SV386 @ SV403 ) )
= $true )
| ( ( SV293 = SV386 )
= $false )
| ( ( SV357 = SV403 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2421]) ).
thf(2443,plain,
! [SV403: allegorical_term_b,SV357: allegorical_term_b,SV386: allegorical_term_b,SV293: allegorical_term_b] :
( ( ( ~ ( ( SV293 != SV386 )
| ( SV357 != SV403 ) ) )
= $true )
| ( ( SV293 = SV386 )
= $false )
| ( ( SV357 = SV403 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2422]) ).
thf(2444,plain,
! [SV388: labeled_graph_b_nat,SV303: labeled_graph_b_nat,SV359: labeled_graph_b_nat,SV231: labeled_graph_b_nat] :
( ( ( ( SV231 != SV359 )
| ( SV303 != SV388 ) )
= $false )
| ( ( SV231 = SV359 )
= $false )
| ( ( SV303 = SV388 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2424]) ).
thf(2445,plain,
! [SV389: produc1235635379_b_nat,SV307: produc1235635379_b_nat] :
( ( ( ( ( produc1542243159_b_nat @ SV307 )
!= ( produc1542243159_b_nat @ SV389 ) )
| ( ( produc194497945_b_nat @ SV307 )
!= ( produc194497945_b_nat @ SV389 ) ) )
= $false )
| ( ( ( produc1542243159_b_nat @ SV307 )
= ( produc1542243159_b_nat @ SV389 ) )
= $false )
| ( ( ( produc194497945_b_nat @ SV307 )
= ( produc194497945_b_nat @ SV389 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2426]) ).
thf(2446,plain,
! [SV319: labeled_graph_b_nat,SV250: labeled_graph_b_nat] :
( ( ( ~ ( graph_529870330at_nat @ SV250 @ SV319 @ ( id_on_nat @ ( labele460410879_b_nat @ SV250 ) ) ) )
= $false )
| ( ( SV319
= ( restrict_b_nat @ SV319 ) )
= $false )
| ( ( SV250
= ( restrict_b_nat @ SV250 ) )
= $false )
| ( ( ( graph_union_b_nat @ SV250 @ SV319 )
= SV319 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2429]) ).
thf(2447,plain,
! [SV319: labeled_graph_b_nat,SV250: labeled_graph_b_nat] :
( ( ( ~ ~ ( ~ ~ ( ( SV250
!= ( restrict_b_nat @ SV250 ) )
| ( SV319
!= ( restrict_b_nat @ SV319 ) ) )
| ( ( graph_union_b_nat @ SV250 @ SV319 )
!= SV319 ) ) )
= $false )
| ( ( SV319
= ( restrict_b_nat @ SV319 ) )
= $false )
| ( ( SV250
= ( restrict_b_nat @ SV250 ) )
= $false )
| ( ( ( graph_union_b_nat @ SV250 @ SV319 )
= SV319 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2429]) ).
thf(2448,plain,
! [SV394: produc1478835367term_b,SV326: produc1478835367term_b] :
( ( ( ( ( produc854192515term_b @ SV326 )
!= ( produc854192515term_b @ SV394 ) )
| ( ( produc1223098053term_b @ SV326 )
!= ( produc1223098053term_b @ SV394 ) ) )
= $false )
| ( ( ( produc854192515term_b @ SV326 )
= ( produc854192515term_b @ SV394 ) )
= $false )
| ( ( ( produc1223098053term_b @ SV326 )
= ( produc1223098053term_b @ SV394 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2433]) ).
thf(2449,plain,
! [SV397: allegorical_term_b,SV339: allegorical_term_b,SV379: allegorical_term_b,SV272: allegorical_term_b] :
( ( ( ( SV272 != SV379 )
| ( SV339 != SV397 ) )
= $false )
| ( ( SV272 = SV379 )
= $false )
| ( ( SV339 = SV397 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2435]) ).
thf(2450,plain,
! [SV400: allegorical_term_b,SV347: allegorical_term_b,SV382: allegorical_term_b,SV281: allegorical_term_b] :
( ( ( ( SV281 != SV382 )
| ( SV347 != SV400 ) )
= $false )
| ( ( SV281 = SV382 )
= $false )
| ( ( SV347 = SV400 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2438]) ).
thf(2451,plain,
! [SV402: labeled_graph_b_nat,SV353: labeled_graph_b_nat,SV385: labeled_graph_b_nat,SV288: labeled_graph_b_nat] :
( ( ( ( SV288 != SV385 )
| ( SV353 != SV402 ) )
= $false )
| ( ( SV288 = SV385 )
= $false )
| ( ( SV353 = SV402 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2440]) ).
thf(2452,plain,
! [SV403: allegorical_term_b,SV357: allegorical_term_b,SV386: allegorical_term_b,SV293: allegorical_term_b] :
( ( ( ( SV293 != SV386 )
| ( SV357 != SV403 ) )
= $false )
| ( ( SV293 = SV386 )
= $false )
| ( ( SV357 = SV403 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2443]) ).
thf(2453,plain,
! [SV388: labeled_graph_b_nat,SV303: labeled_graph_b_nat,SV359: labeled_graph_b_nat,SV231: labeled_graph_b_nat] :
( ( ( SV231 != SV359 )
= $false )
| ( ( SV231 = SV359 )
= $false )
| ( ( SV303 = SV388 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2444]) ).
thf(2454,plain,
! [SV359: labeled_graph_b_nat,SV231: labeled_graph_b_nat,SV388: labeled_graph_b_nat,SV303: labeled_graph_b_nat] :
( ( ( SV303 != SV388 )
= $false )
| ( ( SV231 = SV359 )
= $false )
| ( ( SV303 = SV388 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2444]) ).
thf(2455,plain,
! [SV389: produc1235635379_b_nat,SV307: produc1235635379_b_nat] :
( ( ( ( produc1542243159_b_nat @ SV307 )
!= ( produc1542243159_b_nat @ SV389 ) )
= $false )
| ( ( ( produc1542243159_b_nat @ SV307 )
= ( produc1542243159_b_nat @ SV389 ) )
= $false )
| ( ( ( produc194497945_b_nat @ SV307 )
= ( produc194497945_b_nat @ SV389 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2445]) ).
thf(2456,plain,
! [SV389: produc1235635379_b_nat,SV307: produc1235635379_b_nat] :
( ( ( ( produc194497945_b_nat @ SV307 )
!= ( produc194497945_b_nat @ SV389 ) )
= $false )
| ( ( ( produc1542243159_b_nat @ SV307 )
= ( produc1542243159_b_nat @ SV389 ) )
= $false )
| ( ( ( produc194497945_b_nat @ SV307 )
= ( produc194497945_b_nat @ SV389 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2445]) ).
thf(2457,plain,
! [SV319: labeled_graph_b_nat,SV250: labeled_graph_b_nat] :
( ( ( graph_529870330at_nat @ SV250 @ SV319 @ ( id_on_nat @ ( labele460410879_b_nat @ SV250 ) ) )
= $true )
| ( ( SV319
= ( restrict_b_nat @ SV319 ) )
= $false )
| ( ( SV250
= ( restrict_b_nat @ SV250 ) )
= $false )
| ( ( ( graph_union_b_nat @ SV250 @ SV319 )
= SV319 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2446]) ).
thf(2458,plain,
! [SV319: labeled_graph_b_nat,SV250: labeled_graph_b_nat] :
( ( ( ~ ( ~ ~ ( ( SV250
!= ( restrict_b_nat @ SV250 ) )
| ( SV319
!= ( restrict_b_nat @ SV319 ) ) )
| ( ( graph_union_b_nat @ SV250 @ SV319 )
!= SV319 ) ) )
= $true )
| ( ( SV319
= ( restrict_b_nat @ SV319 ) )
= $false )
| ( ( SV250
= ( restrict_b_nat @ SV250 ) )
= $false )
| ( ( ( graph_union_b_nat @ SV250 @ SV319 )
= SV319 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2447]) ).
thf(2459,plain,
! [SV394: produc1478835367term_b,SV326: produc1478835367term_b] :
( ( ( ( produc854192515term_b @ SV326 )
!= ( produc854192515term_b @ SV394 ) )
= $false )
| ( ( ( produc854192515term_b @ SV326 )
= ( produc854192515term_b @ SV394 ) )
= $false )
| ( ( ( produc1223098053term_b @ SV326 )
= ( produc1223098053term_b @ SV394 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2448]) ).
thf(2460,plain,
! [SV394: produc1478835367term_b,SV326: produc1478835367term_b] :
( ( ( ( produc1223098053term_b @ SV326 )
!= ( produc1223098053term_b @ SV394 ) )
= $false )
| ( ( ( produc854192515term_b @ SV326 )
= ( produc854192515term_b @ SV394 ) )
= $false )
| ( ( ( produc1223098053term_b @ SV326 )
= ( produc1223098053term_b @ SV394 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2448]) ).
thf(2461,plain,
! [SV397: allegorical_term_b,SV339: allegorical_term_b,SV379: allegorical_term_b,SV272: allegorical_term_b] :
( ( ( SV272 != SV379 )
= $false )
| ( ( SV272 = SV379 )
= $false )
| ( ( SV339 = SV397 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2449]) ).
thf(2462,plain,
! [SV379: allegorical_term_b,SV272: allegorical_term_b,SV397: allegorical_term_b,SV339: allegorical_term_b] :
( ( ( SV339 != SV397 )
= $false )
| ( ( SV272 = SV379 )
= $false )
| ( ( SV339 = SV397 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2449]) ).
thf(2463,plain,
! [SV400: allegorical_term_b,SV347: allegorical_term_b,SV382: allegorical_term_b,SV281: allegorical_term_b] :
( ( ( SV281 != SV382 )
= $false )
| ( ( SV281 = SV382 )
= $false )
| ( ( SV347 = SV400 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2450]) ).
thf(2464,plain,
! [SV382: allegorical_term_b,SV281: allegorical_term_b,SV400: allegorical_term_b,SV347: allegorical_term_b] :
( ( ( SV347 != SV400 )
= $false )
| ( ( SV281 = SV382 )
= $false )
| ( ( SV347 = SV400 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2450]) ).
thf(2465,plain,
! [SV402: labeled_graph_b_nat,SV353: labeled_graph_b_nat,SV385: labeled_graph_b_nat,SV288: labeled_graph_b_nat] :
( ( ( SV288 != SV385 )
= $false )
| ( ( SV288 = SV385 )
= $false )
| ( ( SV353 = SV402 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2451]) ).
thf(2466,plain,
! [SV385: labeled_graph_b_nat,SV288: labeled_graph_b_nat,SV402: labeled_graph_b_nat,SV353: labeled_graph_b_nat] :
( ( ( SV353 != SV402 )
= $false )
| ( ( SV288 = SV385 )
= $false )
| ( ( SV353 = SV402 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2451]) ).
thf(2467,plain,
! [SV403: allegorical_term_b,SV357: allegorical_term_b,SV386: allegorical_term_b,SV293: allegorical_term_b] :
( ( ( SV293 != SV386 )
= $false )
| ( ( SV293 = SV386 )
= $false )
| ( ( SV357 = SV403 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2452]) ).
thf(2468,plain,
! [SV386: allegorical_term_b,SV293: allegorical_term_b,SV403: allegorical_term_b,SV357: allegorical_term_b] :
( ( ( SV357 != SV403 )
= $false )
| ( ( SV293 = SV386 )
= $false )
| ( ( SV357 = SV403 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2452]) ).
thf(2469,plain,
! [SV388: labeled_graph_b_nat,SV303: labeled_graph_b_nat,SV359: labeled_graph_b_nat,SV231: labeled_graph_b_nat] :
( ( ( SV231 = SV359 )
= $true )
| ( ( SV231 = SV359 )
= $false )
| ( ( SV303 = SV388 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2453]) ).
thf(2470,plain,
! [SV359: labeled_graph_b_nat,SV231: labeled_graph_b_nat,SV388: labeled_graph_b_nat,SV303: labeled_graph_b_nat] :
( ( ( SV303 = SV388 )
= $true )
| ( ( SV231 = SV359 )
= $false )
| ( ( SV303 = SV388 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2454]) ).
thf(2471,plain,
! [SV389: produc1235635379_b_nat,SV307: produc1235635379_b_nat] :
( ( ( ( produc1542243159_b_nat @ SV307 )
= ( produc1542243159_b_nat @ SV389 ) )
= $true )
| ( ( ( produc1542243159_b_nat @ SV307 )
= ( produc1542243159_b_nat @ SV389 ) )
= $false )
| ( ( ( produc194497945_b_nat @ SV307 )
= ( produc194497945_b_nat @ SV389 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2455]) ).
thf(2472,plain,
! [SV389: produc1235635379_b_nat,SV307: produc1235635379_b_nat] :
( ( ( ( produc194497945_b_nat @ SV307 )
= ( produc194497945_b_nat @ SV389 ) )
= $true )
| ( ( ( produc1542243159_b_nat @ SV307 )
= ( produc1542243159_b_nat @ SV389 ) )
= $false )
| ( ( ( produc194497945_b_nat @ SV307 )
= ( produc194497945_b_nat @ SV389 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2456]) ).
thf(2473,plain,
! [SV319: labeled_graph_b_nat,SV250: labeled_graph_b_nat] :
( ( ( ~ ~ ( ( SV250
!= ( restrict_b_nat @ SV250 ) )
| ( SV319
!= ( restrict_b_nat @ SV319 ) ) )
| ( ( graph_union_b_nat @ SV250 @ SV319 )
!= SV319 ) )
= $false )
| ( ( SV319
= ( restrict_b_nat @ SV319 ) )
= $false )
| ( ( SV250
= ( restrict_b_nat @ SV250 ) )
= $false )
| ( ( ( graph_union_b_nat @ SV250 @ SV319 )
= SV319 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2458]) ).
thf(2474,plain,
! [SV394: produc1478835367term_b,SV326: produc1478835367term_b] :
( ( ( ( produc854192515term_b @ SV326 )
= ( produc854192515term_b @ SV394 ) )
= $true )
| ( ( ( produc854192515term_b @ SV326 )
= ( produc854192515term_b @ SV394 ) )
= $false )
| ( ( ( produc1223098053term_b @ SV326 )
= ( produc1223098053term_b @ SV394 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2459]) ).
thf(2475,plain,
! [SV394: produc1478835367term_b,SV326: produc1478835367term_b] :
( ( ( ( produc1223098053term_b @ SV326 )
= ( produc1223098053term_b @ SV394 ) )
= $true )
| ( ( ( produc854192515term_b @ SV326 )
= ( produc854192515term_b @ SV394 ) )
= $false )
| ( ( ( produc1223098053term_b @ SV326 )
= ( produc1223098053term_b @ SV394 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2460]) ).
thf(2476,plain,
! [SV397: allegorical_term_b,SV339: allegorical_term_b,SV379: allegorical_term_b,SV272: allegorical_term_b] :
( ( ( SV272 = SV379 )
= $true )
| ( ( SV272 = SV379 )
= $false )
| ( ( SV339 = SV397 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2461]) ).
thf(2477,plain,
! [SV379: allegorical_term_b,SV272: allegorical_term_b,SV397: allegorical_term_b,SV339: allegorical_term_b] :
( ( ( SV339 = SV397 )
= $true )
| ( ( SV272 = SV379 )
= $false )
| ( ( SV339 = SV397 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2462]) ).
thf(2478,plain,
! [SV400: allegorical_term_b,SV347: allegorical_term_b,SV382: allegorical_term_b,SV281: allegorical_term_b] :
( ( ( SV281 = SV382 )
= $true )
| ( ( SV281 = SV382 )
= $false )
| ( ( SV347 = SV400 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2463]) ).
thf(2479,plain,
! [SV382: allegorical_term_b,SV281: allegorical_term_b,SV400: allegorical_term_b,SV347: allegorical_term_b] :
( ( ( SV347 = SV400 )
= $true )
| ( ( SV281 = SV382 )
= $false )
| ( ( SV347 = SV400 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2464]) ).
thf(2480,plain,
! [SV402: labeled_graph_b_nat,SV353: labeled_graph_b_nat,SV385: labeled_graph_b_nat,SV288: labeled_graph_b_nat] :
( ( ( SV288 = SV385 )
= $true )
| ( ( SV288 = SV385 )
= $false )
| ( ( SV353 = SV402 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2465]) ).
thf(2481,plain,
! [SV385: labeled_graph_b_nat,SV288: labeled_graph_b_nat,SV402: labeled_graph_b_nat,SV353: labeled_graph_b_nat] :
( ( ( SV353 = SV402 )
= $true )
| ( ( SV288 = SV385 )
= $false )
| ( ( SV353 = SV402 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2466]) ).
thf(2482,plain,
! [SV403: allegorical_term_b,SV357: allegorical_term_b,SV386: allegorical_term_b,SV293: allegorical_term_b] :
( ( ( SV293 = SV386 )
= $true )
| ( ( SV293 = SV386 )
= $false )
| ( ( SV357 = SV403 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2467]) ).
thf(2483,plain,
! [SV386: allegorical_term_b,SV293: allegorical_term_b,SV403: allegorical_term_b,SV357: allegorical_term_b] :
( ( ( SV357 = SV403 )
= $true )
| ( ( SV293 = SV386 )
= $false )
| ( ( SV357 = SV403 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2468]) ).
thf(2484,plain,
! [SV319: labeled_graph_b_nat,SV250: labeled_graph_b_nat] :
( ( ( ~ ~ ( ( SV250
!= ( restrict_b_nat @ SV250 ) )
| ( SV319
!= ( restrict_b_nat @ SV319 ) ) ) )
= $false )
| ( ( SV319
= ( restrict_b_nat @ SV319 ) )
= $false )
| ( ( SV250
= ( restrict_b_nat @ SV250 ) )
= $false )
| ( ( ( graph_union_b_nat @ SV250 @ SV319 )
= SV319 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2473]) ).
thf(2485,plain,
! [SV319: labeled_graph_b_nat,SV250: labeled_graph_b_nat] :
( ( ( ( graph_union_b_nat @ SV250 @ SV319 )
!= SV319 )
= $false )
| ( ( SV319
= ( restrict_b_nat @ SV319 ) )
= $false )
| ( ( SV250
= ( restrict_b_nat @ SV250 ) )
= $false )
| ( ( ( graph_union_b_nat @ SV250 @ SV319 )
= SV319 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2473]) ).
thf(2486,plain,
! [SV319: labeled_graph_b_nat,SV250: labeled_graph_b_nat] :
( ( ( ~ ( ( SV250
!= ( restrict_b_nat @ SV250 ) )
| ( SV319
!= ( restrict_b_nat @ SV319 ) ) ) )
= $true )
| ( ( SV319
= ( restrict_b_nat @ SV319 ) )
= $false )
| ( ( SV250
= ( restrict_b_nat @ SV250 ) )
= $false )
| ( ( ( graph_union_b_nat @ SV250 @ SV319 )
= SV319 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2484]) ).
thf(2487,plain,
! [SV319: labeled_graph_b_nat,SV250: labeled_graph_b_nat] :
( ( ( ( graph_union_b_nat @ SV250 @ SV319 )
= SV319 )
= $true )
| ( ( SV319
= ( restrict_b_nat @ SV319 ) )
= $false )
| ( ( SV250
= ( restrict_b_nat @ SV250 ) )
= $false )
| ( ( ( graph_union_b_nat @ SV250 @ SV319 )
= SV319 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2485]) ).
thf(2488,plain,
! [SV319: labeled_graph_b_nat,SV250: labeled_graph_b_nat] :
( ( ( ( SV250
!= ( restrict_b_nat @ SV250 ) )
| ( SV319
!= ( restrict_b_nat @ SV319 ) ) )
= $false )
| ( ( SV319
= ( restrict_b_nat @ SV319 ) )
= $false )
| ( ( SV250
= ( restrict_b_nat @ SV250 ) )
= $false )
| ( ( ( graph_union_b_nat @ SV250 @ SV319 )
= SV319 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2486]) ).
thf(2489,plain,
! [SV319: labeled_graph_b_nat,SV250: labeled_graph_b_nat] :
( ( ( SV250
!= ( restrict_b_nat @ SV250 ) )
= $false )
| ( ( SV319
= ( restrict_b_nat @ SV319 ) )
= $false )
| ( ( SV250
= ( restrict_b_nat @ SV250 ) )
= $false )
| ( ( ( graph_union_b_nat @ SV250 @ SV319 )
= SV319 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2488]) ).
thf(2490,plain,
! [SV250: labeled_graph_b_nat,SV319: labeled_graph_b_nat] :
( ( ( SV319
!= ( restrict_b_nat @ SV319 ) )
= $false )
| ( ( SV319
= ( restrict_b_nat @ SV319 ) )
= $false )
| ( ( SV250
= ( restrict_b_nat @ SV250 ) )
= $false )
| ( ( ( graph_union_b_nat @ SV250 @ SV319 )
= SV319 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2488]) ).
thf(2491,plain,
! [SV319: labeled_graph_b_nat,SV250: labeled_graph_b_nat] :
( ( ( SV250
= ( restrict_b_nat @ SV250 ) )
= $true )
| ( ( SV319
= ( restrict_b_nat @ SV319 ) )
= $false )
| ( ( SV250
= ( restrict_b_nat @ SV250 ) )
= $false )
| ( ( ( graph_union_b_nat @ SV250 @ SV319 )
= SV319 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2489]) ).
thf(2492,plain,
! [SV250: labeled_graph_b_nat,SV319: labeled_graph_b_nat] :
( ( ( SV319
= ( restrict_b_nat @ SV319 ) )
= $true )
| ( ( SV319
= ( restrict_b_nat @ SV319 ) )
= $false )
| ( ( SV250
= ( restrict_b_nat @ SV250 ) )
= $false )
| ( ( ( graph_union_b_nat @ SV250 @ SV319 )
= SV319 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2490]) ).
thf(2493,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[1562,2492,2491,2487,2483,2482,2481,2480,2479,2478,2477,2476,2475,2474,2472,2471,2470,2469,2457,2442,2441,2439,2437,2436,2434,2432,2431,2430,2428,2427,2425,2423,2420,2419,2415,2414,2411,2410,2406,2405,2402,2401,2393,2392,2389,2388,2357,2356,2350,2349,2343,2342,2340,2339,2337,2329,2323,2322,2321,2318,2312,2311,2310,2309,2308,2305,2293,2290,2286,2285,2279,2278,2242,2232,2231,2230,2225,2224,2219,2218,2215,2212,2211,2210,2196,2194,2191,2190,2180,2165,2164,2161,2160,2159,2158,2155,2152,2151,2150,2149,2148,2147,2146,2145,2144,2142,2137,2124,2114,2107,2090,2085,2080,2073,2071,2068,2064,2063,2060,2054,2047,2042,2032,2031,2025,2022,2018,2017,2009,2004,2003,2001,1999,1997,1994,1992,1986,1978,1976,1971,1970,1968,1966,1965,1964,1954,1949,1944,1934,1924,1882,1869,1867,1848,1846,1842,1839,1834,1819,1742,1741,1740,1739,1738,1737,1736,1735,1733,1695,1671,1663,1662,1661,1660,1657,1656,1655,1654,1653,1652,1647,1646,1645,1643,1642,1641,1640,1639,1563]) ).
thf(2494,plain,
( ( ! [X: allegorical_term_b,Y: allegorical_term_b] :
( ( graph_529870330at_nat @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ ( translation_b @ X ) @ ( translation_b @ ( allegorical_A_Int_b @ X @ Y ) ) ) ) @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ X ) @ ( translation_b @ ( allegorical_A_Int_b @ X @ Y ) ) ) ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ ( translation_b @ X ) @ ( translation_b @ ( allegorical_A_Int_b @ X @ Y ) ) ) ) ) ) )
& ( ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ X ) @ ( translation_b @ ( allegorical_A_Int_b @ X @ Y ) ) ) )
= ( restrict_b_nat @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ X ) @ ( translation_b @ ( allegorical_A_Int_b @ X @ Y ) ) ) ) ) )
& ( finite_finite_nat @ ( labele460410879_b_nat @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ X ) @ ( translation_b @ ( allegorical_A_Int_b @ X @ Y ) ) ) ) ) )
& ( finite1987068434at_nat @ ( labeled_edges_b_nat @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ X ) @ ( translation_b @ ( allegorical_A_Int_b @ X @ Y ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[451]) ).
thf(2495,plain,
( ( ! [G: labeled_graph_b_nat] :
( ( graph_529870330at_nat @ G @ G @ ( id_on_nat @ ( labele460410879_b_nat @ G ) ) )
= ( G
= ( restrict_b_nat @ G ) ) ) )
= $true ),
inference(copy,[status(thm)],[450]) ).
thf(2496,plain,
( ( ! [G: labeled_graph_b_nat] :
( ( graph_529870330at_nat @ G @ ( restrict_b_nat @ G ) @ ( id_on_nat @ ( labele460410879_b_nat @ G ) ) )
= ( G
= ( restrict_b_nat @ G ) ) ) )
= $true ),
inference(copy,[status(thm)],[449]) ).
thf(2497,plain,
( ( ! [A: labeled_graph_b_nat] : ( graph_529870330at_nat @ ( restrict_b_nat @ A ) @ ( restrict_b_nat @ A ) @ ( id_on_nat @ ( labele460410879_b_nat @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[448]) ).
thf(2498,plain,
( ( ! [X: allegorical_term_b] : ( finite1987068434at_nat @ ( labeled_edges_b_nat @ ( translation_b @ X ) ) ) )
= $true ),
inference(copy,[status(thm)],[447]) ).
thf(2499,plain,
( ( ( graph_529870330at_nat @ ( produc1542243159_b_nat @ standa879863266rule_b ) @ ( produc194497945_b_nat @ standa879863266rule_b ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ standa879863266rule_b ) ) ) )
& ( ( produc194497945_b_nat @ standa879863266rule_b )
= ( restrict_b_nat @ ( produc194497945_b_nat @ standa879863266rule_b ) ) )
& ( finite_finite_nat @ ( labele460410879_b_nat @ ( produc194497945_b_nat @ standa879863266rule_b ) ) )
& ( finite1987068434at_nat @ ( labeled_edges_b_nat @ ( produc194497945_b_nat @ standa879863266rule_b ) ) ) )
= $true ),
inference(copy,[status(thm)],[446]) ).
thf(2500,plain,
( ( ! [T: b] :
( ( graph_529870330at_nat @ ( produc1542243159_b_nat @ ( standa1360217389rule_b @ T ) ) @ ( produc194497945_b_nat @ ( standa1360217389rule_b @ T ) ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ ( standa1360217389rule_b @ T ) ) ) ) )
& ( ( produc194497945_b_nat @ ( standa1360217389rule_b @ T ) )
= ( restrict_b_nat @ ( produc194497945_b_nat @ ( standa1360217389rule_b @ T ) ) ) )
& ( finite_finite_nat @ ( labele460410879_b_nat @ ( produc194497945_b_nat @ ( standa1360217389rule_b @ T ) ) ) )
& ( finite1987068434at_nat @ ( labeled_edges_b_nat @ ( produc194497945_b_nat @ ( standa1360217389rule_b @ T ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[445]) ).
thf(2501,plain,
( ( ! [X: allegorical_term_b] : ( finite_finite_nat @ ( labele460410879_b_nat @ ( translation_b @ X ) ) ) )
= $true ),
inference(copy,[status(thm)],[444]) ).
thf(2502,plain,
( ( ! [I: b] :
( ( graph_529870330at_nat @ ( produc1542243159_b_nat @ ( standa1329480013rule_b @ I ) ) @ ( produc194497945_b_nat @ ( standa1329480013rule_b @ I ) ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ ( standa1329480013rule_b @ I ) ) ) ) )
& ( ( produc194497945_b_nat @ ( standa1329480013rule_b @ I ) )
= ( restrict_b_nat @ ( produc194497945_b_nat @ ( standa1329480013rule_b @ I ) ) ) )
& ( finite_finite_nat @ ( labele460410879_b_nat @ ( produc194497945_b_nat @ ( standa1329480013rule_b @ I ) ) ) )
& ( finite1987068434at_nat @ ( labeled_edges_b_nat @ ( produc194497945_b_nat @ ( standa1329480013rule_b @ I ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[443]) ).
thf(2503,plain,
( ( ! [Prod: produc1478835367term_b] :
( ( produc1990145943term_b @ ( produc854192515term_b @ Prod ) @ ( produc1223098053term_b @ Prod ) )
= Prod ) )
= $true ),
inference(copy,[status(thm)],[442]) ).
thf(2504,plain,
( ( ! [Prod: produc1235635379_b_nat] :
( ( produc951298923_b_nat @ ( produc1542243159_b_nat @ Prod ) @ ( produc194497945_b_nat @ Prod ) )
= Prod ) )
= $true ),
inference(copy,[status(thm)],[441]) ).
thf(2505,plain,
( ( translation_b
= ( ^ [X2: allegorical_term_b] : ( restrict_b_nat @ ( translation_b @ X2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[440]) ).
thf(2506,plain,
( ( ! [G: labeled_graph_b_nat] :
( ( labele460410879_b_nat @ ( restrict_b_nat @ G ) )
= ( labele460410879_b_nat @ G ) ) )
= $true ),
inference(copy,[status(thm)],[439]) ).
thf(2507,plain,
( ( ! [A: labeled_graph_b_nat,B: labeled_graph_b_nat,A2: labeled_graph_b_nat,B2: labeled_graph_b_nat] :
( ( ( produc951298923_b_nat @ A @ B )
= ( produc951298923_b_nat @ A2 @ B2 ) )
= ( ( A = A2 )
& ( B = B2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[438]) ).
thf(2508,plain,
( ( ! [A: allegorical_term_b,B: allegorical_term_b,A2: allegorical_term_b,B2: allegorical_term_b] :
( ( ( produc1990145943term_b @ A @ B )
= ( produc1990145943term_b @ A2 @ B2 ) )
= ( ( A = A2 )
& ( B = B2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[437]) ).
thf(2509,plain,
( ( ! [X1: labeled_graph_b_nat,X22: labeled_graph_b_nat,Y1: labeled_graph_b_nat,Y2: labeled_graph_b_nat] :
( ( ( produc951298923_b_nat @ X1 @ X22 )
= ( produc951298923_b_nat @ Y1 @ Y2 ) )
= ( ( X1 = Y1 )
& ( X22 = Y2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[436]) ).
thf(2510,plain,
( ( ! [X1: allegorical_term_b,X22: allegorical_term_b,Y1: allegorical_term_b,Y2: allegorical_term_b] :
( ( ( produc1990145943term_b @ X1 @ X22 )
= ( produc1990145943term_b @ Y1 @ Y2 ) )
= ( ( X1 = Y1 )
& ( X22 = Y2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[435]) ).
thf(2511,plain,
( ( ! [X3: labeled_graph_b_nat] :
( ( restrict_b_nat @ ( restrict_b_nat @ X3 ) )
= ( restrict_b_nat @ X3 ) ) )
= $true ),
inference(copy,[status(thm)],[434]) ).
thf(2512,plain,
( ( ! [P: produc1235635379_b_nat > $o,Prod: produc1235635379_b_nat] :
( ! [A3: labeled_graph_b_nat,B3: labeled_graph_b_nat] : ( P @ ( produc951298923_b_nat @ A3 @ B3 ) )
=> ( P @ Prod ) ) )
= $true ),
inference(copy,[status(thm)],[433]) ).
thf(2513,plain,
( ( ! [P: produc1478835367term_b > $o,Prod: produc1478835367term_b] :
( ! [A3: allegorical_term_b,B3: allegorical_term_b] : ( P @ ( produc1990145943term_b @ A3 @ B3 ) )
=> ( P @ Prod ) ) )
= $true ),
inference(copy,[status(thm)],[432]) ).
thf(2514,plain,
( ( ! [Y3: produc1235635379_b_nat] :
~ ! [A3: labeled_graph_b_nat,B3: labeled_graph_b_nat] :
( Y3
!= ( produc951298923_b_nat @ A3 @ B3 ) ) )
= $true ),
inference(copy,[status(thm)],[431]) ).
thf(2515,plain,
( ( ! [Y3: produc1478835367term_b] :
~ ! [A3: allegorical_term_b,B3: allegorical_term_b] :
( Y3
!= ( produc1990145943term_b @ A3 @ B3 ) ) )
= $true ),
inference(copy,[status(thm)],[430]) ).
thf(2516,plain,
( ( ! [A: labeled_graph_b_nat,B: labeled_graph_b_nat,A2: labeled_graph_b_nat,B2: labeled_graph_b_nat] :
( ( ( produc951298923_b_nat @ A @ B )
= ( produc951298923_b_nat @ A2 @ B2 ) )
=> ~ ( ( A = A2 )
=> ( B != B2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[429]) ).
thf(2517,plain,
( ( ! [A: allegorical_term_b,B: allegorical_term_b,A2: allegorical_term_b,B2: allegorical_term_b] :
( ( ( produc1990145943term_b @ A @ B )
= ( produc1990145943term_b @ A2 @ B2 ) )
=> ~ ( ( A = A2 )
=> ( B != B2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[428]) ).
thf(2518,plain,
( ( ! [P: produc1235635379_b_nat > $o,P2: produc1235635379_b_nat] :
( ! [A3: labeled_graph_b_nat,B3: labeled_graph_b_nat] : ( P @ ( produc951298923_b_nat @ A3 @ B3 ) )
=> ( P @ P2 ) ) )
= $true ),
inference(copy,[status(thm)],[427]) ).
thf(2519,plain,
( ( ! [P: produc1478835367term_b > $o,P2: produc1478835367term_b] :
( ! [A3: allegorical_term_b,B3: allegorical_term_b] : ( P @ ( produc1990145943term_b @ A3 @ B3 ) )
=> ( P @ P2 ) ) )
= $true ),
inference(copy,[status(thm)],[426]) ).
thf(2520,plain,
( ( ! [P2: produc1235635379_b_nat] :
? [X4: labeled_graph_b_nat,Y4: labeled_graph_b_nat] :
( P2
= ( produc951298923_b_nat @ X4 @ Y4 ) ) )
= $true ),
inference(copy,[status(thm)],[425]) ).
thf(2521,plain,
( ( ! [P2: produc1478835367term_b] :
? [X4: allegorical_term_b,Y4: allegorical_term_b] :
( P2
= ( produc1990145943term_b @ X4 @ Y4 ) ) )
= $true ),
inference(copy,[status(thm)],[424]) ).
thf(2522,plain,
( ( ! [X1: labeled_graph_b_nat,X22: labeled_graph_b_nat] :
( ( produc1542243159_b_nat @ ( produc951298923_b_nat @ X1 @ X22 ) )
= X1 ) )
= $true ),
inference(copy,[status(thm)],[423]) ).
thf(2523,plain,
( ( ! [X1: allegorical_term_b,X22: allegorical_term_b] :
( ( produc854192515term_b @ ( produc1990145943term_b @ X1 @ X22 ) )
= X1 ) )
= $true ),
inference(copy,[status(thm)],[422]) ).
thf(2524,plain,
( ( ! [X3: labeled_graph_b_nat,Y3: labeled_graph_b_nat,A: labeled_graph_b_nat] :
( ( ( produc1542243159_b_nat @ ( produc951298923_b_nat @ X3 @ Y3 ) )
= A )
=> ( X3 = A ) ) )
= $true ),
inference(copy,[status(thm)],[421]) ).
thf(2525,plain,
( ( ! [X3: allegorical_term_b,Y3: allegorical_term_b,A: allegorical_term_b] :
( ( ( produc854192515term_b @ ( produc1990145943term_b @ X3 @ Y3 ) )
= A )
=> ( X3 = A ) ) )
= $true ),
inference(copy,[status(thm)],[420]) ).
thf(2526,plain,
( ( ! [X1: allegorical_term_b,X22: allegorical_term_b] :
( ( produc1223098053term_b @ ( produc1990145943term_b @ X1 @ X22 ) )
= X22 ) )
= $true ),
inference(copy,[status(thm)],[419]) ).
thf(2527,plain,
( ( ! [X1: labeled_graph_b_nat,X22: labeled_graph_b_nat] :
( ( produc194497945_b_nat @ ( produc951298923_b_nat @ X1 @ X22 ) )
= X22 ) )
= $true ),
inference(copy,[status(thm)],[418]) ).
thf(2528,plain,
( ( ! [X3: allegorical_term_b,Y3: allegorical_term_b,A: allegorical_term_b] :
( ( ( produc1223098053term_b @ ( produc1990145943term_b @ X3 @ Y3 ) )
= A )
=> ( Y3 = A ) ) )
= $true ),
inference(copy,[status(thm)],[417]) ).
thf(2529,plain,
( ( ! [X3: labeled_graph_b_nat,Y3: labeled_graph_b_nat,A: labeled_graph_b_nat] :
( ( ( produc194497945_b_nat @ ( produc951298923_b_nat @ X3 @ Y3 ) )
= A )
=> ( Y3 = A ) ) )
= $true ),
inference(copy,[status(thm)],[416]) ).
thf(2530,plain,
( ( ( ^ [Y5: produc1478835367term_b,Z: produc1478835367term_b] : ( Y5 = Z ) )
= ( ^ [S: produc1478835367term_b,T2: produc1478835367term_b] :
( ( ( produc854192515term_b @ S )
= ( produc854192515term_b @ T2 ) )
& ( ( produc1223098053term_b @ S )
= ( produc1223098053term_b @ T2 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[415]) ).
thf(2531,plain,
( ( ( ^ [Y5: produc1235635379_b_nat,Z: produc1235635379_b_nat] : ( Y5 = Z ) )
= ( ^ [S: produc1235635379_b_nat,T2: produc1235635379_b_nat] :
( ( ( produc1542243159_b_nat @ S )
= ( produc1542243159_b_nat @ T2 ) )
& ( ( produc194497945_b_nat @ S )
= ( produc194497945_b_nat @ T2 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[414]) ).
thf(2532,plain,
( ( ! [Prod: produc1478835367term_b,Prod2: produc1478835367term_b] :
( ( ( ( produc854192515term_b @ Prod )
= ( produc854192515term_b @ Prod2 ) )
& ( ( produc1223098053term_b @ Prod )
= ( produc1223098053term_b @ Prod2 ) ) )
=> ( Prod = Prod2 ) ) )
= $true ),
inference(copy,[status(thm)],[413]) ).
thf(2533,plain,
( ( ! [Prod: produc1235635379_b_nat,Prod2: produc1235635379_b_nat] :
( ( ( ( produc1542243159_b_nat @ Prod )
= ( produc1542243159_b_nat @ Prod2 ) )
& ( ( produc194497945_b_nat @ Prod )
= ( produc194497945_b_nat @ Prod2 ) ) )
=> ( Prod = Prod2 ) ) )
= $true ),
inference(copy,[status(thm)],[412]) ).
thf(2534,plain,
( ( ! [P2: produc1478835367term_b,Q: produc1478835367term_b] :
( ( ( produc854192515term_b @ P2 )
= ( produc854192515term_b @ Q ) )
=> ( ( ( produc1223098053term_b @ P2 )
= ( produc1223098053term_b @ Q ) )
=> ( P2 = Q ) ) ) )
= $true ),
inference(copy,[status(thm)],[411]) ).
thf(2535,plain,
( ( ! [P2: produc1235635379_b_nat,Q: produc1235635379_b_nat] :
( ( ( produc1542243159_b_nat @ P2 )
= ( produc1542243159_b_nat @ Q ) )
=> ( ( ( produc194497945_b_nat @ P2 )
= ( produc194497945_b_nat @ Q ) )
=> ( P2 = Q ) ) ) )
= $true ),
inference(copy,[status(thm)],[410]) ).
thf(2536,plain,
( ( ! [Labeled_graph: labeled_graph_b_nat,Labeled_graph2: labeled_graph_b_nat] :
( ( ( ( labeled_edges_b_nat @ Labeled_graph )
= ( labeled_edges_b_nat @ Labeled_graph2 ) )
& ( ( labele460410879_b_nat @ Labeled_graph )
= ( labele460410879_b_nat @ Labeled_graph2 ) ) )
=> ( Labeled_graph = Labeled_graph2 ) ) )
= $true ),
inference(copy,[status(thm)],[409]) ).
thf(2537,plain,
( ( ! [T: produc1478835367term_b] :
( T
= ( produc1990145943term_b @ ( produc854192515term_b @ T ) @ ( produc1223098053term_b @ T ) ) ) )
= $true ),
inference(copy,[status(thm)],[408]) ).
thf(2538,plain,
( ( ! [T: produc1235635379_b_nat] :
( T
= ( produc951298923_b_nat @ ( produc1542243159_b_nat @ T ) @ ( produc194497945_b_nat @ T ) ) ) )
= $true ),
inference(copy,[status(thm)],[407]) ).
thf(2539,plain,
( ( ! [Prod: produc1478835367term_b] :
( Prod
= ( produc1990145943term_b @ ( produc854192515term_b @ Prod ) @ ( produc1223098053term_b @ Prod ) ) ) )
= $true ),
inference(copy,[status(thm)],[406]) ).
thf(2540,plain,
( ( ! [Prod: produc1235635379_b_nat] :
( Prod
= ( produc951298923_b_nat @ ( produc1542243159_b_nat @ Prod ) @ ( produc194497945_b_nat @ Prod ) ) ) )
= $true ),
inference(copy,[status(thm)],[405]) ).
thf(2541,plain,
( ( ! [A4: labeled_graph_b_nat,B4: labeled_graph_b_nat,X: labeled_graph_b_nat,H: set_Pr1986765409at_nat] :
( ( graph_529870330at_nat @ A4 @ B4 @ ( id_on_nat @ ( labele460410879_b_nat @ A4 ) ) )
=> ( ( graph_529870330at_nat @ X @ A4 @ H )
=> ( graph_529870330at_nat @ X @ B4 @ H ) ) ) )
= $true ),
inference(copy,[status(thm)],[404]) ).
thf(2542,plain,
( ( ! [G_1: labeled_graph_b_nat,G_2: labeled_graph_b_nat,G_3: labeled_graph_b_nat] :
( ( graph_529870330at_nat @ G_1 @ G_2 @ ( id_on_nat @ ( labele460410879_b_nat @ G_1 ) ) )
=> ( ( graph_529870330at_nat @ G_2 @ G_3 @ ( id_on_nat @ ( labele460410879_b_nat @ G_2 ) ) )
=> ( graph_529870330at_nat @ G_1 @ G_3 @ ( id_on_nat @ ( labele460410879_b_nat @ G_1 ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[403]) ).
thf(2543,plain,
( ( ! [X: allegorical_term_b] : ( inv_translation @ ( labele460410879_b_nat @ ( translation_b @ X ) ) ) )
= $true ),
inference(copy,[status(thm)],[402]) ).
thf(2544,plain,
( ( ! [P: allegorical_term_b > allegorical_term_b > $o,X3: allegorical_term_b,Y3: allegorical_term_b,A: produc1478835367term_b] :
( ( P @ X3 @ Y3 )
=> ( ( A
= ( produc1990145943term_b @ X3 @ Y3 ) )
=> ( P @ ( produc854192515term_b @ A ) @ ( produc1223098053term_b @ A ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[401]) ).
thf(2545,plain,
( ( ! [P: labeled_graph_b_nat > labeled_graph_b_nat > $o,X3: labeled_graph_b_nat,Y3: labeled_graph_b_nat,A: produc1235635379_b_nat] :
( ( P @ X3 @ Y3 )
=> ( ( A
= ( produc951298923_b_nat @ X3 @ Y3 ) )
=> ( P @ ( produc1542243159_b_nat @ A ) @ ( produc194497945_b_nat @ A ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[400]) ).
thf(2546,plain,
( ( ! [P: allegorical_term_b > $o,P2: allegorical_term_b,Q2: allegorical_term_b > $o,Q: allegorical_term_b] :
( ( P @ P2 )
=> ( ( Q2 @ Q )
=> ( ( P @ ( produc854192515term_b @ ( produc1990145943term_b @ P2 @ Q ) ) )
& ( Q2 @ ( produc1223098053term_b @ ( produc1990145943term_b @ P2 @ Q ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[399]) ).
thf(2547,plain,
( ( ! [P: labeled_graph_b_nat > $o,P2: labeled_graph_b_nat,Q2: labeled_graph_b_nat > $o,Q: labeled_graph_b_nat] :
( ( P @ P2 )
=> ( ( Q2 @ Q )
=> ( ( P @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ P2 @ Q ) ) )
& ( Q2 @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ P2 @ Q ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[398]) ).
thf(2548,plain,
( ( ! [P: allegorical_term_b > allegorical_term_b > $o,Y3: allegorical_term_b,X3: allegorical_term_b] :
( ( P @ Y3 @ X3 )
=> ( P @ ( produc1223098053term_b @ ( produc1990145943term_b @ X3 @ Y3 ) ) @ ( produc854192515term_b @ ( produc1990145943term_b @ X3 @ Y3 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[397]) ).
thf(2549,plain,
( ( ! [P: labeled_graph_b_nat > labeled_graph_b_nat > $o,Y3: labeled_graph_b_nat,X3: labeled_graph_b_nat] :
( ( P @ Y3 @ X3 )
=> ( P @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ X3 @ Y3 ) ) @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ X3 @ Y3 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[396]) ).
thf(2550,plain,
( ( ! [X11: allegorical_term_b,X12: allegorical_term_b,Y11: allegorical_term_b,Y12: allegorical_term_b] :
( ( ( allegorical_A_Int_b @ X11 @ X12 )
= ( allegorical_A_Int_b @ Y11 @ Y12 ) )
= ( ( X11 = Y11 )
& ( X12 = Y12 ) ) ) )
= $true ),
inference(copy,[status(thm)],[395]) ).
thf(2551,plain,
( ( ! [R: labeled_graph_b_nat,G: labeled_graph_b_nat,F3: set_Pr1986765409at_nat] :
( ( graph_529870330at_nat @ R @ G @ F3 )
=> ( extensible_b_nat_nat @ ( produc951298923_b_nat @ R @ R ) @ G @ F3 ) ) )
= $true ),
inference(copy,[status(thm)],[394]) ).
thf(2552,plain,
( ( ! [P: allegorical_term_b > allegorical_term_b > $o,P2: produc1478835367term_b] :
( ( P @ ( produc1223098053term_b @ P2 ) @ ( produc854192515term_b @ P2 ) )
=> ~ ! [X4: allegorical_term_b,Y4: allegorical_term_b] :
~ ( P @ Y4 @ X4 ) ) )
= $true ),
inference(copy,[status(thm)],[393]) ).
thf(2553,plain,
( ( ! [P: labeled_graph_b_nat > labeled_graph_b_nat > $o,P2: produc1235635379_b_nat] :
( ( P @ ( produc194497945_b_nat @ P2 ) @ ( produc1542243159_b_nat @ P2 ) )
=> ~ ! [X4: labeled_graph_b_nat,Y4: labeled_graph_b_nat] :
~ ( P @ Y4 @ X4 ) ) )
= $true ),
inference(copy,[status(thm)],[392]) ).
thf(2554,plain,
( ( ! [X3: produc1478835367term_b,Y3: allegorical_term_b,Z2: allegorical_term_b] :
( ( X3
= ( produc1990145943term_b @ Y3 @ Z2 ) )
=> ( ( produc1223098053term_b @ X3 )
= Z2 ) ) )
= $true ),
inference(copy,[status(thm)],[391]) ).
thf(2555,plain,
( ( ! [X3: produc1235635379_b_nat,Y3: labeled_graph_b_nat,Z2: labeled_graph_b_nat] :
( ( X3
= ( produc951298923_b_nat @ Y3 @ Z2 ) )
=> ( ( produc194497945_b_nat @ X3 )
= Z2 ) ) )
= $true ),
inference(copy,[status(thm)],[390]) ).
thf(2556,plain,
( ( ! [X3: produc1235635379_b_nat,Y3: labeled_graph_b_nat,Z2: labeled_graph_b_nat] :
( ( X3
= ( produc951298923_b_nat @ Y3 @ Z2 ) )
=> ( ( produc1542243159_b_nat @ X3 )
= Y3 ) ) )
= $true ),
inference(copy,[status(thm)],[389]) ).
thf(2557,plain,
( ( ! [X3: produc1478835367term_b,Y3: allegorical_term_b,Z2: allegorical_term_b] :
( ( X3
= ( produc1990145943term_b @ Y3 @ Z2 ) )
=> ( ( produc854192515term_b @ X3 )
= Y3 ) ) )
= $true ),
inference(copy,[status(thm)],[388]) ).
thf(2558,plain,
( ( ! [S2: nat > labeled_graph_b_nat,I: nat] :
( ( chain_b_nat @ S2 )
=> ( ( S2 @ I )
= ( restrict_b_nat @ ( S2 @ I ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[387]) ).
thf(2559,plain,
( ( ! [B: allegorical_term_b,P2: produc1478835367term_b] :
( ( B
= ( produc1223098053term_b @ P2 ) )
= ( ? [A5: allegorical_term_b] :
( P2
= ( produc1990145943term_b @ A5 @ B ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[386]) ).
thf(2560,plain,
( ( ! [B: labeled_graph_b_nat,P2: produc1235635379_b_nat] :
( ( B
= ( produc194497945_b_nat @ P2 ) )
= ( ? [A5: labeled_graph_b_nat] :
( P2
= ( produc951298923_b_nat @ A5 @ B ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[385]) ).
thf(2561,plain,
( ( ! [A: labeled_graph_b_nat,P2: produc1235635379_b_nat] :
( ( A
= ( produc1542243159_b_nat @ P2 ) )
= ( ? [B5: labeled_graph_b_nat] :
( P2
= ( produc951298923_b_nat @ A @ B5 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[384]) ).
thf(2562,plain,
( ( ! [A: allegorical_term_b,P2: produc1478835367term_b] :
( ( A
= ( produc854192515term_b @ P2 ) )
= ( ? [B5: allegorical_term_b] :
( P2
= ( produc1990145943term_b @ A @ B5 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[383]) ).
thf(2563,plain,
( ( ! [Labeled_graph: labeled_graph_b_nat] :
( ( labeled_LG_b_nat @ ( labeled_edges_b_nat @ Labeled_graph ) @ ( labele460410879_b_nat @ Labeled_graph ) )
= Labeled_graph ) )
= $true ),
inference(copy,[status(thm)],[382]) ).
thf(2564,plain,
( ( ! [A4: set_nat,B4: set_nat] :
( ( ord_less_eq_set_nat @ A4 @ B4 )
=> ( ( finite_finite_nat @ B4 )
=> ( finite_finite_nat @ A4 ) ) ) )
= $true ),
inference(copy,[status(thm)],[381]) ).
thf(2565,plain,
( ( ! [A4: set_Pr9961929at_nat,B4: set_Pr9961929at_nat] :
( ( ord_le910748009at_nat @ A4 @ B4 )
=> ( ( finite1987068434at_nat @ B4 )
=> ( finite1987068434at_nat @ A4 ) ) ) )
= $true ),
inference(copy,[status(thm)],[380]) ).
thf(2566,plain,
( ( ! [S2: set_nat,T3: set_nat] :
( ( ord_less_eq_set_nat @ S2 @ T3 )
=> ( ~ ( finite_finite_nat @ S2 )
=> ~ ( finite_finite_nat @ T3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[379]) ).
thf(2567,plain,
( ( ! [S2: set_Pr9961929at_nat,T3: set_Pr9961929at_nat] :
( ( ord_le910748009at_nat @ S2 @ T3 )
=> ( ~ ( finite1987068434at_nat @ S2 )
=> ~ ( finite1987068434at_nat @ T3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[378]) ).
thf(2568,plain,
( ( ! [B4: set_nat,A4: set_nat] :
( ( finite_finite_nat @ B4 )
=> ( ( ord_less_eq_set_nat @ A4 @ B4 )
=> ( finite_finite_nat @ A4 ) ) ) )
= $true ),
inference(copy,[status(thm)],[377]) ).
thf(2569,plain,
( ( ! [B4: set_Pr9961929at_nat,A4: set_Pr9961929at_nat] :
( ( finite1987068434at_nat @ B4 )
=> ( ( ord_le910748009at_nat @ A4 @ B4 )
=> ( finite1987068434at_nat @ A4 ) ) ) )
= $true ),
inference(copy,[status(thm)],[376]) ).
thf(2570,plain,
( ( ! [X1: set_Pr9961929at_nat,X22: set_nat] :
( ( labele460410879_b_nat @ ( labeled_LG_b_nat @ X1 @ X22 ) )
= X22 ) )
= $true ),
inference(copy,[status(thm)],[375]) ).
thf(2571,plain,
( ( ! [X1: set_Pr9961929at_nat,X22: set_nat] :
( ( labeled_edges_b_nat @ ( labeled_LG_b_nat @ X1 @ X22 ) )
= X1 ) )
= $true ),
inference(copy,[status(thm)],[374]) ).
thf(2572,plain,
( ( ! [G: labeled_graph_b_nat] :
( ( ord_le910748009at_nat @ ( labeled_edges_b_nat @ G ) @ ( labeled_edges_b_nat @ ( restrict_b_nat @ G ) ) )
=> ( G
= ( restrict_b_nat @ G ) ) ) )
= $true ),
inference(copy,[status(thm)],[373]) ).
thf(2573,plain,
( ( ! [Labeled_graph: labeled_graph_b_nat] :
( Labeled_graph
= ( labeled_LG_b_nat @ ( labeled_edges_b_nat @ Labeled_graph ) @ ( labele460410879_b_nat @ Labeled_graph ) ) ) )
= $true ),
inference(copy,[status(thm)],[372]) ).
thf(2574,plain,
( ( ! [G_1: labeled_graph_b_nat,G_2: labeled_graph_b_nat] :
( ( graph_529870330at_nat @ G_1 @ G_2 @ ( id_on_nat @ ( labele460410879_b_nat @ G_1 ) ) )
=> ( ord_less_eq_set_nat @ ( labele460410879_b_nat @ G_1 ) @ ( labele460410879_b_nat @ G_2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[371]) ).
thf(2575,plain,
( ( ! [G_1: labeled_graph_b_nat,G_2: labeled_graph_b_nat] :
( ( graph_529870330at_nat @ G_1 @ G_2 @ ( id_on_nat @ ( labele460410879_b_nat @ G_1 ) ) )
=> ( ord_le910748009at_nat @ ( labeled_edges_b_nat @ ( restrict_b_nat @ G_1 ) ) @ ( labeled_edges_b_nat @ G_2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[370]) ).
thf(2576,plain,
( ( ! [G_1: labeled_graph_b_nat,G_2: labeled_graph_b_nat] :
( ( G_1
= ( restrict_b_nat @ G_1 ) )
=> ( ( G_2
= ( restrict_b_nat @ G_2 ) )
=> ( ( graph_union_b_nat @ G_1 @ G_2 )
= ( restrict_b_nat @ ( graph_union_b_nat @ G_1 @ G_2 ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[369]) ).
thf(2577,plain,
( ( ! [G_1: labeled_graph_b_nat,G_2: labeled_graph_b_nat] :
( ( graph_529870330at_nat @ G_1 @ G_2 @ ( id_on_nat @ ( labele460410879_b_nat @ G_1 ) ) )
= ( ( G_1
= ( restrict_b_nat @ G_1 ) )
& ( G_2
= ( restrict_b_nat @ G_2 ) )
& ( ( graph_union_b_nat @ G_1 @ G_2 )
= G_2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[368]) ).
thf(2578,plain,
( ( ! [A: labeled_graph_b_nat,B: labeled_graph_b_nat,X3: set_Pr1986765409at_nat,C2: labeled_graph_b_nat,Y3: set_Pr1986765409at_nat] :
( ( graph_529870330at_nat @ A @ B @ X3 )
=> ( ( graph_529870330at_nat @ B @ C2 @ Y3 )
=> ( graph_529870330at_nat @ A @ C2 @ ( relcomp_nat_nat_nat @ X3 @ Y3 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[367]) ).
thf(2579,plain,
( ( finite_finite_nat @ bot_bot_set_nat )
= $true ),
inference(copy,[status(thm)],[366]) ).
thf(2580,plain,
( ( finite1987068434at_nat @ bot_bo1626616373at_nat )
= $true ),
inference(copy,[status(thm)],[365]) ).
thf(2581,plain,
( ( ! [S2: set_nat] :
( ~ ( finite_finite_nat @ S2 )
=> ( S2 != bot_bot_set_nat ) ) )
= $true ),
inference(copy,[status(thm)],[364]) ).
thf(2582,plain,
( ( ! [S2: set_Pr9961929at_nat] :
( ~ ( finite1987068434at_nat @ S2 )
=> ( S2 != bot_bo1626616373at_nat ) ) )
= $true ),
inference(copy,[status(thm)],[363]) ).
thf(2583,plain,
( ( ! [R4: labeled_graph_b_nat,S4: labeled_graph_b_nat,R: set_Pr551076371_b_nat,S5: labeled_graph_b_nat] :
( ( member963855452_b_nat @ ( produc951298923_b_nat @ R4 @ S4 ) @ R )
=> ( ( S5 = S4 )
=> ( member963855452_b_nat @ ( produc951298923_b_nat @ R4 @ S5 ) @ R ) ) ) )
= $true ),
inference(copy,[status(thm)],[362]) ).
thf(2584,plain,
( ( ! [R4: allegorical_term_b,S4: allegorical_term_b,R: set_Pr1163220871term_b,S5: allegorical_term_b] :
( ( member516522448term_b @ ( produc1990145943term_b @ R4 @ S4 ) @ R )
=> ( ( S5 = S4 )
=> ( member516522448term_b @ ( produc1990145943term_b @ R4 @ S5 ) @ R ) ) ) )
= $true ),
inference(copy,[status(thm)],[361]) ).
thf(2585,plain,
( ( ! [X3: set_nat] : ( univalent_nat_nat @ ( id_on_nat @ X3 ) ) )
= $true ),
inference(copy,[status(thm)],[360]) ).
thf(2586,plain,
( ( ! [A4: set_nat] :
( ( domain_nat_nat @ ( id_on_nat @ A4 ) )
= A4 ) )
= $true ),
inference(copy,[status(thm)],[359]) ).
thf(2587,plain,
( ( ~ ( finite_finite_nat @ ( labele460410879_b_nat @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ ( produc854192515term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) @ ( translation_b @ ( produc1223098053term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[458]) ).
thf(2588,plain,
( ( ! [SX0: set_Pr9961929at_nat,SX1: set_Pr9961929at_nat] :
( ~ ( ord_le910748009at_nat @ SX0 @ SX1 )
| ~ ~ ( finite1987068434at_nat @ SX0 )
| ~ ( finite1987068434at_nat @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2567]) ).
thf(2589,plain,
( ( ! [SX0: labeled_graph_b_nat > $o,SX1: labeled_graph_b_nat,SX2: labeled_graph_b_nat > $o,SX3: labeled_graph_b_nat] :
( ~ ( SX0 @ SX1 )
| ~ ( SX2 @ SX3 )
| ~ ( ~ ( SX0 @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ SX1 @ SX3 ) ) )
| ~ ( SX2 @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ SX1 @ SX3 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2547]) ).
thf(2590,plain,
( ( ( ^ [SX0: produc1235635379_b_nat,SX1: produc1235635379_b_nat] : ( SX0 = SX1 ) )
= ( ^ [SX0: produc1235635379_b_nat,SX1: produc1235635379_b_nat] :
~ ( ( ( produc1542243159_b_nat @ SX0 )
!= ( produc1542243159_b_nat @ SX1 ) )
| ( ( produc194497945_b_nat @ SX0 )
!= ( produc194497945_b_nat @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2531]) ).
thf(2591,plain,
( ( ! [SX0: labeled_graph_b_nat,SX1: labeled_graph_b_nat,SX2: set_Pr551076371_b_nat,SX3: labeled_graph_b_nat] :
( ~ ( member963855452_b_nat @ ( produc951298923_b_nat @ SX0 @ SX1 ) @ SX2 )
| ( SX3 != SX1 )
| ( member963855452_b_nat @ ( produc951298923_b_nat @ SX0 @ SX3 ) @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2583]) ).
thf(2592,plain,
( ( ! [SX0: set_nat] :
( ~ ~ ( finite_finite_nat @ SX0 )
| ( SX0 != bot_bot_set_nat ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2581]) ).
thf(2593,plain,
( ( ! [SX0: produc1235635379_b_nat] :
~ ! [SX1: labeled_graph_b_nat] :
~ ~ ! [SX2: labeled_graph_b_nat] :
( SX0
!= ( produc951298923_b_nat @ SX1 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2520]) ).
thf(2594,plain,
( ( ! [SX0: labeled_graph_b_nat,SX1: labeled_graph_b_nat,SX2: labeled_graph_b_nat] :
( ( ( produc194497945_b_nat @ ( produc951298923_b_nat @ SX0 @ SX1 ) )
!= SX2 )
| ( SX1 = SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2529]) ).
thf(2595,plain,
( ( ! [SX0: labeled_graph_b_nat,SX1: labeled_graph_b_nat,SX2: labeled_graph_b_nat,SX3: labeled_graph_b_nat] :
( ( ( produc951298923_b_nat @ SX0 @ SX1 )
!= ( produc951298923_b_nat @ SX2 @ SX3 ) )
| ~ ( ( SX0 != SX2 )
| ( SX1 != SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2516]) ).
thf(2596,plain,
( ( ! [SX0: labeled_graph_b_nat,SX1: produc1235635379_b_nat] :
( ( SX0
= ( produc1542243159_b_nat @ SX1 ) )
= ( ~ ! [SX2: labeled_graph_b_nat] :
( SX1
!= ( produc951298923_b_nat @ SX0 @ SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2561]) ).
thf(2597,plain,
( ( ! [SX0: labeled_graph_b_nat,SX1: labeled_graph_b_nat] :
( ~ ( graph_529870330at_nat @ SX0 @ SX1 @ ( id_on_nat @ ( labele460410879_b_nat @ SX0 ) ) )
| ( ord_less_eq_set_nat @ ( labele460410879_b_nat @ SX0 ) @ ( labele460410879_b_nat @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2574]) ).
thf(2598,plain,
( ( ! [SX0: produc1478835367term_b > $o,SX1: produc1478835367term_b] :
( ~ ! [SX2: allegorical_term_b,SX3: allegorical_term_b] : ( SX0 @ ( produc1990145943term_b @ SX2 @ SX3 ) )
| ( SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2513]) ).
thf(2599,plain,
( ( ! [SX0: labeled_graph_b_nat,SX1: labeled_graph_b_nat,SX2: set_Pr1986765409at_nat,SX3: labeled_graph_b_nat,SX4: set_Pr1986765409at_nat] :
( ~ ( graph_529870330at_nat @ SX0 @ SX1 @ SX2 )
| ~ ( graph_529870330at_nat @ SX1 @ SX3 @ SX4 )
| ( graph_529870330at_nat @ SX0 @ SX3 @ ( relcomp_nat_nat_nat @ SX2 @ SX4 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2578]) ).
thf(2600,plain,
( ( ! [SX0: labeled_graph_b_nat,SX1: labeled_graph_b_nat] :
( ~ ~ ( ( ( labeled_edges_b_nat @ SX0 )
!= ( labeled_edges_b_nat @ SX1 ) )
| ( ( labele460410879_b_nat @ SX0 )
!= ( labele460410879_b_nat @ SX1 ) ) )
| ( SX0 = SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2536]) ).
thf(2601,plain,
( ( ! [SX0: set_nat,SX1: set_nat] :
( ~ ( finite_finite_nat @ SX0 )
| ~ ( ord_less_eq_set_nat @ SX1 @ SX0 )
| ( finite_finite_nat @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2568]) ).
thf(2602,plain,
( ( ! [SX0: allegorical_term_b,SX1: produc1478835367term_b] :
( ( SX0
= ( produc854192515term_b @ SX1 ) )
= ( ~ ! [SX2: allegorical_term_b] :
( SX1
!= ( produc1990145943term_b @ SX0 @ SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2562]) ).
thf(2603,plain,
( ( ! [SX0: labeled_graph_b_nat > labeled_graph_b_nat > $o,SX1: produc1235635379_b_nat] :
( ~ ( SX0 @ ( produc194497945_b_nat @ SX1 ) @ ( produc1542243159_b_nat @ SX1 ) )
| ~ ! [SX2: labeled_graph_b_nat,SX3: labeled_graph_b_nat] :
~ ( SX0 @ SX3 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2553]) ).
thf(2604,plain,
( ( ! [SX0: labeled_graph_b_nat] :
( ~ ( ord_le910748009at_nat @ ( labeled_edges_b_nat @ SX0 ) @ ( labeled_edges_b_nat @ ( restrict_b_nat @ SX0 ) ) )
| ( SX0
= ( restrict_b_nat @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2572]) ).
thf(2605,plain,
( ( ! [SX0: allegorical_term_b,SX1: allegorical_term_b,SX2: allegorical_term_b,SX3: allegorical_term_b] :
( ( ( produc1990145943term_b @ SX0 @ SX1 )
!= ( produc1990145943term_b @ SX2 @ SX3 ) )
| ~ ( ( SX0 != SX2 )
| ( SX1 != SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2517]) ).
thf(2606,plain,
( ( ! [SX0: allegorical_term_b > allegorical_term_b > $o,SX1: allegorical_term_b,SX2: allegorical_term_b,SX3: produc1478835367term_b] :
( ~ ( SX0 @ SX1 @ SX2 )
| ( SX3
!= ( produc1990145943term_b @ SX1 @ SX2 ) )
| ( SX0 @ ( produc854192515term_b @ SX3 ) @ ( produc1223098053term_b @ SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2544]) ).
thf(2607,plain,
( ( ! [SX0: labeled_graph_b_nat,SX1: labeled_graph_b_nat,SX2: labeled_graph_b_nat,SX3: labeled_graph_b_nat] :
( ( ( produc951298923_b_nat @ SX0 @ SX1 )
= ( produc951298923_b_nat @ SX2 @ SX3 ) )
= ( ~ ( ( SX0 != SX2 )
| ( SX1 != SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2507]) ).
thf(2608,plain,
( ( ! [SX0: allegorical_term_b,SX1: allegorical_term_b,SX2: set_Pr1163220871term_b,SX3: allegorical_term_b] :
( ~ ( member516522448term_b @ ( produc1990145943term_b @ SX0 @ SX1 ) @ SX2 )
| ( SX3 != SX1 )
| ( member516522448term_b @ ( produc1990145943term_b @ SX0 @ SX3 ) @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2584]) ).
thf(2609,plain,
( ( ! [SX0: labeled_graph_b_nat,SX1: labeled_graph_b_nat] :
( ( graph_529870330at_nat @ SX0 @ SX1 @ ( id_on_nat @ ( labele460410879_b_nat @ SX0 ) ) )
= ( ~ ( ~ ~ ( ( SX0
!= ( restrict_b_nat @ SX0 ) )
| ( SX1
!= ( restrict_b_nat @ SX1 ) ) )
| ( ( graph_union_b_nat @ SX0 @ SX1 )
!= SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2577]) ).
thf(2610,plain,
( ( ! [SX0: set_Pr9961929at_nat,SX1: set_Pr9961929at_nat] :
( ~ ( finite1987068434at_nat @ SX0 )
| ~ ( ord_le910748009at_nat @ SX1 @ SX0 )
| ( finite1987068434at_nat @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2569]) ).
thf(2611,plain,
( ( ! [SX0: labeled_graph_b_nat,SX1: labeled_graph_b_nat] :
( ( SX0
!= ( restrict_b_nat @ SX0 ) )
| ( SX1
!= ( restrict_b_nat @ SX1 ) )
| ( ( graph_union_b_nat @ SX0 @ SX1 )
= ( restrict_b_nat @ ( graph_union_b_nat @ SX0 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2576]) ).
thf(2612,plain,
( ( ! [SX0: set_nat,SX1: set_nat] :
( ~ ( ord_less_eq_set_nat @ SX0 @ SX1 )
| ~ ~ ( finite_finite_nat @ SX0 )
| ~ ( finite_finite_nat @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2566]) ).
thf(2613,plain,
( ( ! [SX0: produc1478835367term_b] :
~ ! [SX1: allegorical_term_b,SX2: allegorical_term_b] :
( SX0
!= ( produc1990145943term_b @ SX1 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2515]) ).
thf(2614,plain,
( ( ! [SX0: b] :
~ ( ~ ~ ( ~ ~ ( ~ ( graph_529870330at_nat @ ( produc1542243159_b_nat @ ( standa1360217389rule_b @ SX0 ) ) @ ( produc194497945_b_nat @ ( standa1360217389rule_b @ SX0 ) ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ ( standa1360217389rule_b @ SX0 ) ) ) ) )
| ( ( produc194497945_b_nat @ ( standa1360217389rule_b @ SX0 ) )
!= ( restrict_b_nat @ ( produc194497945_b_nat @ ( standa1360217389rule_b @ SX0 ) ) ) ) )
| ~ ( finite_finite_nat @ ( labele460410879_b_nat @ ( produc194497945_b_nat @ ( standa1360217389rule_b @ SX0 ) ) ) ) )
| ~ ( finite1987068434at_nat @ ( labeled_edges_b_nat @ ( produc194497945_b_nat @ ( standa1360217389rule_b @ SX0 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2500]) ).
thf(2615,plain,
( ( ! [SX0: allegorical_term_b > allegorical_term_b > $o,SX1: allegorical_term_b,SX2: allegorical_term_b] :
( ~ ( SX0 @ SX1 @ SX2 )
| ( SX0 @ ( produc1223098053term_b @ ( produc1990145943term_b @ SX2 @ SX1 ) ) @ ( produc854192515term_b @ ( produc1990145943term_b @ SX2 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2548]) ).
thf(2616,plain,
( ( ! [SX0: labeled_graph_b_nat,SX1: produc1235635379_b_nat] :
( ( SX0
= ( produc194497945_b_nat @ SX1 ) )
= ( ~ ! [SX2: labeled_graph_b_nat] :
( SX1
!= ( produc951298923_b_nat @ SX2 @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2560]) ).
thf(2617,plain,
( ( ! [SX0: set_nat,SX1: set_nat] :
( ~ ( ord_less_eq_set_nat @ SX0 @ SX1 )
| ~ ( finite_finite_nat @ SX1 )
| ( finite_finite_nat @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2564]) ).
thf(2618,plain,
( ( ! [SX0: labeled_graph_b_nat,SX1: labeled_graph_b_nat,SX2: labeled_graph_b_nat] :
( ~ ( graph_529870330at_nat @ SX0 @ SX1 @ ( id_on_nat @ ( labele460410879_b_nat @ SX0 ) ) )
| ~ ( graph_529870330at_nat @ SX1 @ SX2 @ ( id_on_nat @ ( labele460410879_b_nat @ SX1 ) ) )
| ( graph_529870330at_nat @ SX0 @ SX2 @ ( id_on_nat @ ( labele460410879_b_nat @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2542]) ).
thf(2619,plain,
( ( ! [SX0: allegorical_term_b,SX1: allegorical_term_b] :
~ ( ~ ~ ( ~ ~ ( ~ ( graph_529870330at_nat @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SX0 ) @ ( translation_b @ ( allegorical_A_Int_b @ SX0 @ SX1 ) ) ) ) @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SX0 ) @ ( translation_b @ ( allegorical_A_Int_b @ SX0 @ SX1 ) ) ) ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SX0 ) @ ( translation_b @ ( allegorical_A_Int_b @ SX0 @ SX1 ) ) ) ) ) ) )
| ( ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SX0 ) @ ( translation_b @ ( allegorical_A_Int_b @ SX0 @ SX1 ) ) ) )
!= ( restrict_b_nat @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SX0 ) @ ( translation_b @ ( allegorical_A_Int_b @ SX0 @ SX1 ) ) ) ) ) ) )
| ~ ( finite_finite_nat @ ( labele460410879_b_nat @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SX0 ) @ ( translation_b @ ( allegorical_A_Int_b @ SX0 @ SX1 ) ) ) ) ) ) )
| ~ ( finite1987068434at_nat @ ( labeled_edges_b_nat @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SX0 ) @ ( translation_b @ ( allegorical_A_Int_b @ SX0 @ SX1 ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2494]) ).
thf(2620,plain,
( ( ( ^ [SX0: produc1478835367term_b,SX1: produc1478835367term_b] : ( SX0 = SX1 ) )
= ( ^ [SX0: produc1478835367term_b,SX1: produc1478835367term_b] :
~ ( ( ( produc854192515term_b @ SX0 )
!= ( produc854192515term_b @ SX1 ) )
| ( ( produc1223098053term_b @ SX0 )
!= ( produc1223098053term_b @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2530]) ).
thf(2621,plain,
( ( ! [SX0: produc1235635379_b_nat,SX1: labeled_graph_b_nat,SX2: labeled_graph_b_nat] :
( ( SX0
!= ( produc951298923_b_nat @ SX1 @ SX2 ) )
| ( ( produc194497945_b_nat @ SX0 )
= SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2555]) ).
thf(2622,plain,
( ( ! [SX0: produc1478835367term_b] :
~ ! [SX1: allegorical_term_b] :
~ ~ ! [SX2: allegorical_term_b] :
( SX0
!= ( produc1990145943term_b @ SX1 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2521]) ).
thf(2623,plain,
( ( ! [SX0: allegorical_term_b,SX1: allegorical_term_b,SX2: allegorical_term_b,SX3: allegorical_term_b] :
( ( ( produc1990145943term_b @ SX0 @ SX1 )
= ( produc1990145943term_b @ SX2 @ SX3 ) )
= ( ~ ( ( SX0 != SX2 )
| ( SX1 != SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2508]) ).
thf(2624,plain,
( ( ! [SX0: allegorical_term_b,SX1: produc1478835367term_b] :
( ( SX0
= ( produc1223098053term_b @ SX1 ) )
= ( ~ ! [SX2: allegorical_term_b] :
( SX1
!= ( produc1990145943term_b @ SX2 @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2559]) ).
thf(2625,plain,
( ( ! [SX0: produc1235635379_b_nat > $o,SX1: produc1235635379_b_nat] :
( ~ ! [SX2: labeled_graph_b_nat,SX3: labeled_graph_b_nat] : ( SX0 @ ( produc951298923_b_nat @ SX2 @ SX3 ) )
| ( SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2512]) ).
thf(2626,plain,
( ( ! [SX0: produc1478835367term_b,SX1: allegorical_term_b,SX2: allegorical_term_b] :
( ( SX0
!= ( produc1990145943term_b @ SX1 @ SX2 ) )
| ( ( produc854192515term_b @ SX0 )
= SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2557]) ).
thf(2627,plain,
( ( ! [SX0: produc1235635379_b_nat,SX1: produc1235635379_b_nat] :
( ~ ~ ( ( ( produc1542243159_b_nat @ SX0 )
!= ( produc1542243159_b_nat @ SX1 ) )
| ( ( produc194497945_b_nat @ SX0 )
!= ( produc194497945_b_nat @ SX1 ) ) )
| ( SX0 = SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2533]) ).
thf(2628,plain,
( ( ! [SX0: allegorical_term_b,SX1: allegorical_term_b,SX2: allegorical_term_b] :
( ( ( produc854192515term_b @ ( produc1990145943term_b @ SX0 @ SX1 ) )
!= SX2 )
| ( SX0 = SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2525]) ).
thf(2629,plain,
( ( ! [SX0: labeled_graph_b_nat,SX1: labeled_graph_b_nat,SX2: labeled_graph_b_nat,SX3: labeled_graph_b_nat] :
( ( ( produc951298923_b_nat @ SX0 @ SX1 )
= ( produc951298923_b_nat @ SX2 @ SX3 ) )
= ( ~ ( ( SX0 != SX2 )
| ( SX1 != SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2509]) ).
thf(2630,plain,
( ( ! [SX0: allegorical_term_b > $o,SX1: allegorical_term_b,SX2: allegorical_term_b > $o,SX3: allegorical_term_b] :
( ~ ( SX0 @ SX1 )
| ~ ( SX2 @ SX3 )
| ~ ( ~ ( SX0 @ ( produc854192515term_b @ ( produc1990145943term_b @ SX1 @ SX3 ) ) )
| ~ ( SX2 @ ( produc1223098053term_b @ ( produc1990145943term_b @ SX1 @ SX3 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2546]) ).
thf(2631,plain,
( ( ! [SX0: labeled_graph_b_nat > labeled_graph_b_nat > $o,SX1: labeled_graph_b_nat,SX2: labeled_graph_b_nat,SX3: produc1235635379_b_nat] :
( ~ ( SX0 @ SX1 @ SX2 )
| ( SX3
!= ( produc951298923_b_nat @ SX1 @ SX2 ) )
| ( SX0 @ ( produc1542243159_b_nat @ SX3 ) @ ( produc194497945_b_nat @ SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2545]) ).
thf(2632,plain,
( ( ! [SX0: labeled_graph_b_nat,SX1: labeled_graph_b_nat,SX2: labeled_graph_b_nat] :
( ( ( produc1542243159_b_nat @ ( produc951298923_b_nat @ SX0 @ SX1 ) )
!= SX2 )
| ( SX0 = SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2524]) ).
thf(2633,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ( graph_529870330at_nat @ ( produc1542243159_b_nat @ standa879863266rule_b ) @ ( produc194497945_b_nat @ standa879863266rule_b ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ standa879863266rule_b ) ) ) )
| ( ( produc194497945_b_nat @ standa879863266rule_b )
!= ( restrict_b_nat @ ( produc194497945_b_nat @ standa879863266rule_b ) ) ) )
| ~ ( finite_finite_nat @ ( labele460410879_b_nat @ ( produc194497945_b_nat @ standa879863266rule_b ) ) ) )
| ~ ( finite1987068434at_nat @ ( labeled_edges_b_nat @ ( produc194497945_b_nat @ standa879863266rule_b ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2499]) ).
thf(2634,plain,
( ( ! [SX0: produc1478835367term_b,SX1: produc1478835367term_b] :
( ( ( produc854192515term_b @ SX0 )
!= ( produc854192515term_b @ SX1 ) )
| ( ( produc1223098053term_b @ SX0 )
!= ( produc1223098053term_b @ SX1 ) )
| ( SX0 = SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2534]) ).
thf(2635,plain,
( ( ! [SX0: allegorical_term_b,SX1: allegorical_term_b,SX2: allegorical_term_b] :
( ( ( produc1223098053term_b @ ( produc1990145943term_b @ SX0 @ SX1 ) )
!= SX2 )
| ( SX1 = SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2528]) ).
thf(2636,plain,
( ( ! [SX0: produc1235635379_b_nat,SX1: produc1235635379_b_nat] :
( ( ( produc1542243159_b_nat @ SX0 )
!= ( produc1542243159_b_nat @ SX1 ) )
| ( ( produc194497945_b_nat @ SX0 )
!= ( produc194497945_b_nat @ SX1 ) )
| ( SX0 = SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2535]) ).
thf(2637,plain,
( ( ! [SX0: allegorical_term_b > allegorical_term_b > $o,SX1: produc1478835367term_b] :
( ~ ( SX0 @ ( produc1223098053term_b @ SX1 ) @ ( produc854192515term_b @ SX1 ) )
| ~ ! [SX2: allegorical_term_b,SX3: allegorical_term_b] :
~ ( SX0 @ SX3 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2552]) ).
thf(2638,plain,
( ( ! [SX0: b] :
~ ( ~ ~ ( ~ ~ ( ~ ( graph_529870330at_nat @ ( produc1542243159_b_nat @ ( standa1329480013rule_b @ SX0 ) ) @ ( produc194497945_b_nat @ ( standa1329480013rule_b @ SX0 ) ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ ( standa1329480013rule_b @ SX0 ) ) ) ) )
| ( ( produc194497945_b_nat @ ( standa1329480013rule_b @ SX0 ) )
!= ( restrict_b_nat @ ( produc194497945_b_nat @ ( standa1329480013rule_b @ SX0 ) ) ) ) )
| ~ ( finite_finite_nat @ ( labele460410879_b_nat @ ( produc194497945_b_nat @ ( standa1329480013rule_b @ SX0 ) ) ) ) )
| ~ ( finite1987068434at_nat @ ( labeled_edges_b_nat @ ( produc194497945_b_nat @ ( standa1329480013rule_b @ SX0 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2502]) ).
thf(2639,plain,
( ( ! [SX0: labeled_graph_b_nat,SX1: labeled_graph_b_nat,SX2: labeled_graph_b_nat,SX3: set_Pr1986765409at_nat] :
( ~ ( graph_529870330at_nat @ SX0 @ SX1 @ ( id_on_nat @ ( labele460410879_b_nat @ SX0 ) ) )
| ~ ( graph_529870330at_nat @ SX2 @ SX0 @ SX3 )
| ( graph_529870330at_nat @ SX2 @ SX1 @ SX3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2541]) ).
thf(2640,plain,
( ( ! [SX0: set_Pr9961929at_nat] :
( ~ ~ ( finite1987068434at_nat @ SX0 )
| ( SX0 != bot_bo1626616373at_nat ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2582]) ).
thf(2641,plain,
( ( ! [SX0: labeled_graph_b_nat,SX1: labeled_graph_b_nat,SX2: set_Pr1986765409at_nat] :
( ~ ( graph_529870330at_nat @ SX0 @ SX1 @ SX2 )
| ( extensible_b_nat_nat @ ( produc951298923_b_nat @ SX0 @ SX0 ) @ SX1 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2551]) ).
thf(2642,plain,
( ( ! [SX0: produc1235635379_b_nat,SX1: labeled_graph_b_nat,SX2: labeled_graph_b_nat] :
( ( SX0
!= ( produc951298923_b_nat @ SX1 @ SX2 ) )
| ( ( produc1542243159_b_nat @ SX0 )
= SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2556]) ).
thf(2643,plain,
( ( ! [SX0: produc1235635379_b_nat > $o,SX1: produc1235635379_b_nat] :
( ~ ! [SX2: labeled_graph_b_nat,SX3: labeled_graph_b_nat] : ( SX0 @ ( produc951298923_b_nat @ SX2 @ SX3 ) )
| ( SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2518]) ).
thf(2644,plain,
( ( ! [SX0: produc1235635379_b_nat] :
~ ! [SX1: labeled_graph_b_nat,SX2: labeled_graph_b_nat] :
( SX0
!= ( produc951298923_b_nat @ SX1 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2514]) ).
thf(2645,plain,
( ( ! [SX0: labeled_graph_b_nat > labeled_graph_b_nat > $o,SX1: labeled_graph_b_nat,SX2: labeled_graph_b_nat] :
( ~ ( SX0 @ SX1 @ SX2 )
| ( SX0 @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ SX2 @ SX1 ) ) @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ SX2 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2549]) ).
thf(2646,plain,
( ( ! [SX0: labeled_graph_b_nat,SX1: labeled_graph_b_nat] :
( ~ ( graph_529870330at_nat @ SX0 @ SX1 @ ( id_on_nat @ ( labele460410879_b_nat @ SX0 ) ) )
| ( ord_le910748009at_nat @ ( labeled_edges_b_nat @ ( restrict_b_nat @ SX0 ) ) @ ( labeled_edges_b_nat @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2575]) ).
thf(2647,plain,
( ( ! [SX0: produc1478835367term_b,SX1: produc1478835367term_b] :
( ~ ~ ( ( ( produc854192515term_b @ SX0 )
!= ( produc854192515term_b @ SX1 ) )
| ( ( produc1223098053term_b @ SX0 )
!= ( produc1223098053term_b @ SX1 ) ) )
| ( SX0 = SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2532]) ).
thf(2648,plain,
( ( ! [SX0: allegorical_term_b,SX1: allegorical_term_b,SX2: allegorical_term_b,SX3: allegorical_term_b] :
( ( ( allegorical_A_Int_b @ SX0 @ SX1 )
= ( allegorical_A_Int_b @ SX2 @ SX3 ) )
= ( ~ ( ( SX0 != SX2 )
| ( SX1 != SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2550]) ).
thf(2649,plain,
( ( ! [SX0: set_Pr9961929at_nat,SX1: set_Pr9961929at_nat] :
( ~ ( ord_le910748009at_nat @ SX0 @ SX1 )
| ~ ( finite1987068434at_nat @ SX1 )
| ( finite1987068434at_nat @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2565]) ).
thf(2650,plain,
( ( ! [SX0: nat > labeled_graph_b_nat,SX1: nat] :
( ~ ( chain_b_nat @ SX0 )
| ( ( SX0 @ SX1 )
= ( restrict_b_nat @ ( SX0 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2558]) ).
thf(2651,plain,
( ( ! [SX0: allegorical_term_b,SX1: allegorical_term_b,SX2: allegorical_term_b,SX3: allegorical_term_b] :
( ( ( produc1990145943term_b @ SX0 @ SX1 )
= ( produc1990145943term_b @ SX2 @ SX3 ) )
= ( ~ ( ( SX0 != SX2 )
| ( SX1 != SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2510]) ).
thf(2652,plain,
( ( ! [SX0: produc1478835367term_b,SX1: allegorical_term_b,SX2: allegorical_term_b] :
( ( SX0
!= ( produc1990145943term_b @ SX1 @ SX2 ) )
| ( ( produc1223098053term_b @ SX0 )
= SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2554]) ).
thf(2653,plain,
( ( ! [SX0: produc1478835367term_b > $o,SX1: produc1478835367term_b] :
( ~ ! [SX2: allegorical_term_b,SX3: allegorical_term_b] : ( SX0 @ ( produc1990145943term_b @ SX2 @ SX3 ) )
| ( SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2519]) ).
thf(2654,plain,
! [SV409: labeled_graph_b_nat] :
( ( ( graph_529870330at_nat @ SV409 @ SV409 @ ( id_on_nat @ ( labele460410879_b_nat @ SV409 ) ) )
= ( SV409
= ( restrict_b_nat @ SV409 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2495]) ).
thf(2655,plain,
! [SV410: labeled_graph_b_nat] :
( ( ( graph_529870330at_nat @ SV410 @ ( restrict_b_nat @ SV410 ) @ ( id_on_nat @ ( labele460410879_b_nat @ SV410 ) ) )
= ( SV410
= ( restrict_b_nat @ SV410 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2496]) ).
thf(2656,plain,
! [SV411: labeled_graph_b_nat] :
( ( graph_529870330at_nat @ ( restrict_b_nat @ SV411 ) @ ( restrict_b_nat @ SV411 ) @ ( id_on_nat @ ( labele460410879_b_nat @ SV411 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2497]) ).
thf(2657,plain,
! [SV412: allegorical_term_b] :
( ( finite1987068434at_nat @ ( labeled_edges_b_nat @ ( translation_b @ SV412 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2498]) ).
thf(2658,plain,
! [SV413: allegorical_term_b] :
( ( finite_finite_nat @ ( labele460410879_b_nat @ ( translation_b @ SV413 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2501]) ).
thf(2659,plain,
! [SV414: produc1478835367term_b] :
( ( ( produc1990145943term_b @ ( produc854192515term_b @ SV414 ) @ ( produc1223098053term_b @ SV414 ) )
= SV414 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2503]) ).
thf(2660,plain,
! [SV415: produc1235635379_b_nat] :
( ( ( produc951298923_b_nat @ ( produc1542243159_b_nat @ SV415 ) @ ( produc194497945_b_nat @ SV415 ) )
= SV415 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2504]) ).
thf(2661,plain,
( ( ! [SV416: allegorical_term_b] :
( ( translation_b @ SV416 )
= ( restrict_b_nat @ ( translation_b @ SV416 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[2505]) ).
thf(2662,plain,
( ( translation_b
= ( ^ [X2: allegorical_term_b] : ( restrict_b_nat @ ( translation_b @ X2 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[2505]) ).
thf(2663,plain,
! [SV417: labeled_graph_b_nat] :
( ( ( labele460410879_b_nat @ ( restrict_b_nat @ SV417 ) )
= ( labele460410879_b_nat @ SV417 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2506]) ).
thf(2664,plain,
! [SV418: labeled_graph_b_nat] :
( ( ( restrict_b_nat @ ( restrict_b_nat @ SV418 ) )
= ( restrict_b_nat @ SV418 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2511]) ).
thf(2665,plain,
! [SV419: labeled_graph_b_nat] :
( ( ! [SY665: labeled_graph_b_nat] :
( ( produc1542243159_b_nat @ ( produc951298923_b_nat @ SV419 @ SY665 ) )
= SV419 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2522]) ).
thf(2666,plain,
! [SV420: allegorical_term_b] :
( ( ! [SY666: allegorical_term_b] :
( ( produc854192515term_b @ ( produc1990145943term_b @ SV420 @ SY666 ) )
= SV420 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2523]) ).
thf(2667,plain,
! [SV421: allegorical_term_b] :
( ( ! [SY667: allegorical_term_b] :
( ( produc1223098053term_b @ ( produc1990145943term_b @ SV421 @ SY667 ) )
= SY667 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2526]) ).
thf(2668,plain,
! [SV422: labeled_graph_b_nat] :
( ( ! [SY668: labeled_graph_b_nat] :
( ( produc194497945_b_nat @ ( produc951298923_b_nat @ SV422 @ SY668 ) )
= SY668 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2527]) ).
thf(2669,plain,
! [SV423: produc1478835367term_b] :
( ( SV423
= ( produc1990145943term_b @ ( produc854192515term_b @ SV423 ) @ ( produc1223098053term_b @ SV423 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2537]) ).
thf(2670,plain,
! [SV424: produc1235635379_b_nat] :
( ( SV424
= ( produc951298923_b_nat @ ( produc1542243159_b_nat @ SV424 ) @ ( produc194497945_b_nat @ SV424 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2538]) ).
thf(2671,plain,
! [SV425: produc1478835367term_b] :
( ( SV425
= ( produc1990145943term_b @ ( produc854192515term_b @ SV425 ) @ ( produc1223098053term_b @ SV425 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2539]) ).
thf(2672,plain,
! [SV426: produc1235635379_b_nat] :
( ( SV426
= ( produc951298923_b_nat @ ( produc1542243159_b_nat @ SV426 ) @ ( produc194497945_b_nat @ SV426 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2540]) ).
thf(2673,plain,
! [SV427: allegorical_term_b] :
( ( inv_translation @ ( labele460410879_b_nat @ ( translation_b @ SV427 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2543]) ).
thf(2674,plain,
! [SV428: labeled_graph_b_nat] :
( ( ( labeled_LG_b_nat @ ( labeled_edges_b_nat @ SV428 ) @ ( labele460410879_b_nat @ SV428 ) )
= SV428 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2563]) ).
thf(2675,plain,
! [SV429: set_Pr9961929at_nat] :
( ( ! [SY669: set_nat] :
( ( labele460410879_b_nat @ ( labeled_LG_b_nat @ SV429 @ SY669 ) )
= SY669 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2570]) ).
thf(2676,plain,
! [SV430: set_Pr9961929at_nat] :
( ( ! [SY670: set_nat] :
( ( labeled_edges_b_nat @ ( labeled_LG_b_nat @ SV430 @ SY670 ) )
= SV430 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2571]) ).
thf(2677,plain,
! [SV431: labeled_graph_b_nat] :
( ( SV431
= ( labeled_LG_b_nat @ ( labeled_edges_b_nat @ SV431 ) @ ( labele460410879_b_nat @ SV431 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2573]) ).
thf(2678,plain,
! [SV432: set_nat] :
( ( univalent_nat_nat @ ( id_on_nat @ SV432 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2585]) ).
thf(2679,plain,
! [SV433: set_nat] :
( ( ( domain_nat_nat @ ( id_on_nat @ SV433 ) )
= SV433 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2586]) ).
thf(2680,plain,
( ( finite_finite_nat @ ( labele460410879_b_nat @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ ( produc854192515term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) @ ( translation_b @ ( produc1223098053term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2587]) ).
thf(2681,plain,
! [SV434: set_Pr9961929at_nat] :
( ( ! [SY671: set_Pr9961929at_nat] :
( ~ ( ord_le910748009at_nat @ SV434 @ SY671 )
| ~ ~ ( finite1987068434at_nat @ SV434 )
| ~ ( finite1987068434at_nat @ SY671 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2588]) ).
thf(2682,plain,
! [SV435: labeled_graph_b_nat > $o] :
( ( ! [SY672: labeled_graph_b_nat,SY673: labeled_graph_b_nat > $o,SY674: labeled_graph_b_nat] :
( ~ ( SV435 @ SY672 )
| ~ ( SY673 @ SY674 )
| ~ ( ~ ( SV435 @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ SY672 @ SY674 ) ) )
| ~ ( SY673 @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ SY672 @ SY674 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2589]) ).
thf(2683,plain,
( ( ! [SV436: produc1235635379_b_nat] :
( ( ^ [SY675: produc1235635379_b_nat] : ( SV436 = SY675 ) )
= ( ^ [SY676: produc1235635379_b_nat] :
~ ( ( ( produc1542243159_b_nat @ SV436 )
!= ( produc1542243159_b_nat @ SY676 ) )
| ( ( produc194497945_b_nat @ SV436 )
!= ( produc194497945_b_nat @ SY676 ) ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[2590]) ).
thf(2684,plain,
( ( ( ^ [SX0: produc1235635379_b_nat,SX1: produc1235635379_b_nat] : ( SX0 = SX1 ) )
= ( ^ [SX0: produc1235635379_b_nat,SX1: produc1235635379_b_nat] :
~ ( ( ( produc1542243159_b_nat @ SX0 )
!= ( produc1542243159_b_nat @ SX1 ) )
| ( ( produc194497945_b_nat @ SX0 )
!= ( produc194497945_b_nat @ SX1 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[2590]) ).
thf(2685,plain,
! [SV437: labeled_graph_b_nat] :
( ( ! [SY677: labeled_graph_b_nat,SY678: set_Pr551076371_b_nat,SY679: labeled_graph_b_nat] :
( ~ ( member963855452_b_nat @ ( produc951298923_b_nat @ SV437 @ SY677 ) @ SY678 )
| ( SY679 != SY677 )
| ( member963855452_b_nat @ ( produc951298923_b_nat @ SV437 @ SY679 ) @ SY678 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2591]) ).
thf(2686,plain,
! [SV438: set_nat] :
( ( ~ ~ ( finite_finite_nat @ SV438 )
| ( SV438 != bot_bot_set_nat ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2592]) ).
thf(2687,plain,
! [SV439: produc1235635379_b_nat] :
( ( ~ ! [SY680: labeled_graph_b_nat] :
~ ~ ! [SY681: labeled_graph_b_nat] :
( SV439
!= ( produc951298923_b_nat @ SY680 @ SY681 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2593]) ).
thf(2688,plain,
! [SV440: labeled_graph_b_nat] :
( ( ! [SY682: labeled_graph_b_nat,SY683: labeled_graph_b_nat] :
( ( ( produc194497945_b_nat @ ( produc951298923_b_nat @ SV440 @ SY682 ) )
!= SY683 )
| ( SY682 = SY683 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2594]) ).
thf(2689,plain,
! [SV441: labeled_graph_b_nat] :
( ( ! [SY684: labeled_graph_b_nat,SY685: labeled_graph_b_nat,SY686: labeled_graph_b_nat] :
( ( ( produc951298923_b_nat @ SV441 @ SY684 )
!= ( produc951298923_b_nat @ SY685 @ SY686 ) )
| ~ ( ( SV441 != SY685 )
| ( SY684 != SY686 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2595]) ).
thf(2690,plain,
! [SV442: labeled_graph_b_nat] :
( ( ! [SY687: produc1235635379_b_nat] :
( ( SV442
= ( produc1542243159_b_nat @ SY687 ) )
= ( ~ ! [SY688: labeled_graph_b_nat] :
( SY687
!= ( produc951298923_b_nat @ SV442 @ SY688 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2596]) ).
thf(2691,plain,
! [SV443: labeled_graph_b_nat] :
( ( ! [SY689: labeled_graph_b_nat] :
( ~ ( graph_529870330at_nat @ SV443 @ SY689 @ ( id_on_nat @ ( labele460410879_b_nat @ SV443 ) ) )
| ( ord_less_eq_set_nat @ ( labele460410879_b_nat @ SV443 ) @ ( labele460410879_b_nat @ SY689 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2597]) ).
thf(2692,plain,
! [SV444: produc1478835367term_b > $o] :
( ( ! [SY690: produc1478835367term_b] :
( ~ ! [SY691: allegorical_term_b,SY692: allegorical_term_b] : ( SV444 @ ( produc1990145943term_b @ SY691 @ SY692 ) )
| ( SV444 @ SY690 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2598]) ).
thf(2693,plain,
! [SV445: labeled_graph_b_nat] :
( ( ! [SY693: labeled_graph_b_nat,SY694: set_Pr1986765409at_nat,SY695: labeled_graph_b_nat,SY696: set_Pr1986765409at_nat] :
( ~ ( graph_529870330at_nat @ SV445 @ SY693 @ SY694 )
| ~ ( graph_529870330at_nat @ SY693 @ SY695 @ SY696 )
| ( graph_529870330at_nat @ SV445 @ SY695 @ ( relcomp_nat_nat_nat @ SY694 @ SY696 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2599]) ).
thf(2694,plain,
! [SV446: labeled_graph_b_nat] :
( ( ! [SY697: labeled_graph_b_nat] :
( ~ ~ ( ( ( labeled_edges_b_nat @ SV446 )
!= ( labeled_edges_b_nat @ SY697 ) )
| ( ( labele460410879_b_nat @ SV446 )
!= ( labele460410879_b_nat @ SY697 ) ) )
| ( SV446 = SY697 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2600]) ).
thf(2695,plain,
! [SV447: set_nat] :
( ( ! [SY698: set_nat] :
( ~ ( finite_finite_nat @ SV447 )
| ~ ( ord_less_eq_set_nat @ SY698 @ SV447 )
| ( finite_finite_nat @ SY698 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2601]) ).
thf(2696,plain,
! [SV448: allegorical_term_b] :
( ( ! [SY699: produc1478835367term_b] :
( ( SV448
= ( produc854192515term_b @ SY699 ) )
= ( ~ ! [SY700: allegorical_term_b] :
( SY699
!= ( produc1990145943term_b @ SV448 @ SY700 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2602]) ).
thf(2697,plain,
! [SV449: labeled_graph_b_nat > labeled_graph_b_nat > $o] :
( ( ! [SY701: produc1235635379_b_nat] :
( ~ ( SV449 @ ( produc194497945_b_nat @ SY701 ) @ ( produc1542243159_b_nat @ SY701 ) )
| ~ ! [SY702: labeled_graph_b_nat,SY703: labeled_graph_b_nat] :
~ ( SV449 @ SY703 @ SY702 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2603]) ).
thf(2698,plain,
! [SV450: labeled_graph_b_nat] :
( ( ~ ( ord_le910748009at_nat @ ( labeled_edges_b_nat @ SV450 ) @ ( labeled_edges_b_nat @ ( restrict_b_nat @ SV450 ) ) )
| ( SV450
= ( restrict_b_nat @ SV450 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2604]) ).
thf(2699,plain,
! [SV451: allegorical_term_b] :
( ( ! [SY704: allegorical_term_b,SY705: allegorical_term_b,SY706: allegorical_term_b] :
( ( ( produc1990145943term_b @ SV451 @ SY704 )
!= ( produc1990145943term_b @ SY705 @ SY706 ) )
| ~ ( ( SV451 != SY705 )
| ( SY704 != SY706 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2605]) ).
thf(2700,plain,
! [SV452: allegorical_term_b > allegorical_term_b > $o] :
( ( ! [SY707: allegorical_term_b,SY708: allegorical_term_b,SY709: produc1478835367term_b] :
( ~ ( SV452 @ SY707 @ SY708 )
| ( SY709
!= ( produc1990145943term_b @ SY707 @ SY708 ) )
| ( SV452 @ ( produc854192515term_b @ SY709 ) @ ( produc1223098053term_b @ SY709 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2606]) ).
thf(2701,plain,
! [SV453: labeled_graph_b_nat] :
( ( ! [SY710: labeled_graph_b_nat,SY711: labeled_graph_b_nat,SY712: labeled_graph_b_nat] :
( ( ( produc951298923_b_nat @ SV453 @ SY710 )
= ( produc951298923_b_nat @ SY711 @ SY712 ) )
= ( ~ ( ( SV453 != SY711 )
| ( SY710 != SY712 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2607]) ).
thf(2702,plain,
! [SV454: allegorical_term_b] :
( ( ! [SY713: allegorical_term_b,SY714: set_Pr1163220871term_b,SY715: allegorical_term_b] :
( ~ ( member516522448term_b @ ( produc1990145943term_b @ SV454 @ SY713 ) @ SY714 )
| ( SY715 != SY713 )
| ( member516522448term_b @ ( produc1990145943term_b @ SV454 @ SY715 ) @ SY714 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2608]) ).
thf(2703,plain,
! [SV455: labeled_graph_b_nat] :
( ( ! [SY716: labeled_graph_b_nat] :
( ( graph_529870330at_nat @ SV455 @ SY716 @ ( id_on_nat @ ( labele460410879_b_nat @ SV455 ) ) )
= ( ~ ( ~ ~ ( ( SV455
!= ( restrict_b_nat @ SV455 ) )
| ( SY716
!= ( restrict_b_nat @ SY716 ) ) )
| ( ( graph_union_b_nat @ SV455 @ SY716 )
!= SY716 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2609]) ).
thf(2704,plain,
! [SV456: set_Pr9961929at_nat] :
( ( ! [SY717: set_Pr9961929at_nat] :
( ~ ( finite1987068434at_nat @ SV456 )
| ~ ( ord_le910748009at_nat @ SY717 @ SV456 )
| ( finite1987068434at_nat @ SY717 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2610]) ).
thf(2705,plain,
! [SV457: labeled_graph_b_nat] :
( ( ! [SY718: labeled_graph_b_nat] :
( ( SV457
!= ( restrict_b_nat @ SV457 ) )
| ( SY718
!= ( restrict_b_nat @ SY718 ) )
| ( ( graph_union_b_nat @ SV457 @ SY718 )
= ( restrict_b_nat @ ( graph_union_b_nat @ SV457 @ SY718 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2611]) ).
thf(2706,plain,
! [SV458: set_nat] :
( ( ! [SY719: set_nat] :
( ~ ( ord_less_eq_set_nat @ SV458 @ SY719 )
| ~ ~ ( finite_finite_nat @ SV458 )
| ~ ( finite_finite_nat @ SY719 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2612]) ).
thf(2707,plain,
! [SV459: produc1478835367term_b] :
( ( ~ ! [SY720: allegorical_term_b,SY721: allegorical_term_b] :
( SV459
!= ( produc1990145943term_b @ SY720 @ SY721 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2613]) ).
thf(2708,plain,
! [SV460: b] :
( ( ~ ( ~ ~ ( ~ ~ ( ~ ( graph_529870330at_nat @ ( produc1542243159_b_nat @ ( standa1360217389rule_b @ SV460 ) ) @ ( produc194497945_b_nat @ ( standa1360217389rule_b @ SV460 ) ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ ( standa1360217389rule_b @ SV460 ) ) ) ) )
| ( ( produc194497945_b_nat @ ( standa1360217389rule_b @ SV460 ) )
!= ( restrict_b_nat @ ( produc194497945_b_nat @ ( standa1360217389rule_b @ SV460 ) ) ) ) )
| ~ ( finite_finite_nat @ ( labele460410879_b_nat @ ( produc194497945_b_nat @ ( standa1360217389rule_b @ SV460 ) ) ) ) )
| ~ ( finite1987068434at_nat @ ( labeled_edges_b_nat @ ( produc194497945_b_nat @ ( standa1360217389rule_b @ SV460 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2614]) ).
thf(2709,plain,
! [SV461: allegorical_term_b > allegorical_term_b > $o] :
( ( ! [SY722: allegorical_term_b,SY723: allegorical_term_b] :
( ~ ( SV461 @ SY722 @ SY723 )
| ( SV461 @ ( produc1223098053term_b @ ( produc1990145943term_b @ SY723 @ SY722 ) ) @ ( produc854192515term_b @ ( produc1990145943term_b @ SY723 @ SY722 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2615]) ).
thf(2710,plain,
! [SV462: labeled_graph_b_nat] :
( ( ! [SY724: produc1235635379_b_nat] :
( ( SV462
= ( produc194497945_b_nat @ SY724 ) )
= ( ~ ! [SY725: labeled_graph_b_nat] :
( SY724
!= ( produc951298923_b_nat @ SY725 @ SV462 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2616]) ).
thf(2711,plain,
! [SV463: set_nat] :
( ( ! [SY726: set_nat] :
( ~ ( ord_less_eq_set_nat @ SV463 @ SY726 )
| ~ ( finite_finite_nat @ SY726 )
| ( finite_finite_nat @ SV463 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2617]) ).
thf(2712,plain,
! [SV464: labeled_graph_b_nat] :
( ( ! [SY727: labeled_graph_b_nat,SY728: labeled_graph_b_nat] :
( ~ ( graph_529870330at_nat @ SV464 @ SY727 @ ( id_on_nat @ ( labele460410879_b_nat @ SV464 ) ) )
| ~ ( graph_529870330at_nat @ SY727 @ SY728 @ ( id_on_nat @ ( labele460410879_b_nat @ SY727 ) ) )
| ( graph_529870330at_nat @ SV464 @ SY728 @ ( id_on_nat @ ( labele460410879_b_nat @ SV464 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2618]) ).
thf(2713,plain,
! [SV465: allegorical_term_b] :
( ( ! [SY729: allegorical_term_b] :
~ ( ~ ~ ( ~ ~ ( ~ ( graph_529870330at_nat @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV465 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV465 @ SY729 ) ) ) ) @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV465 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV465 @ SY729 ) ) ) ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV465 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV465 @ SY729 ) ) ) ) ) ) )
| ( ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV465 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV465 @ SY729 ) ) ) )
!= ( restrict_b_nat @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV465 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV465 @ SY729 ) ) ) ) ) ) )
| ~ ( finite_finite_nat @ ( labele460410879_b_nat @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV465 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV465 @ SY729 ) ) ) ) ) ) )
| ~ ( finite1987068434at_nat @ ( labeled_edges_b_nat @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV465 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV465 @ SY729 ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2619]) ).
thf(2714,plain,
( ( ! [SV466: produc1478835367term_b] :
( ( ^ [SY730: produc1478835367term_b] : ( SV466 = SY730 ) )
= ( ^ [SY731: produc1478835367term_b] :
~ ( ( ( produc854192515term_b @ SV466 )
!= ( produc854192515term_b @ SY731 ) )
| ( ( produc1223098053term_b @ SV466 )
!= ( produc1223098053term_b @ SY731 ) ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[2620]) ).
thf(2715,plain,
( ( ( ^ [SX0: produc1478835367term_b,SX1: produc1478835367term_b] : ( SX0 = SX1 ) )
= ( ^ [SX0: produc1478835367term_b,SX1: produc1478835367term_b] :
~ ( ( ( produc854192515term_b @ SX0 )
!= ( produc854192515term_b @ SX1 ) )
| ( ( produc1223098053term_b @ SX0 )
!= ( produc1223098053term_b @ SX1 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[2620]) ).
thf(2716,plain,
! [SV467: produc1235635379_b_nat] :
( ( ! [SY732: labeled_graph_b_nat,SY733: labeled_graph_b_nat] :
( ( SV467
!= ( produc951298923_b_nat @ SY732 @ SY733 ) )
| ( ( produc194497945_b_nat @ SV467 )
= SY733 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2621]) ).
thf(2717,plain,
! [SV468: produc1478835367term_b] :
( ( ~ ! [SY734: allegorical_term_b] :
~ ~ ! [SY735: allegorical_term_b] :
( SV468
!= ( produc1990145943term_b @ SY734 @ SY735 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2622]) ).
thf(2718,plain,
! [SV469: allegorical_term_b] :
( ( ! [SY736: allegorical_term_b,SY737: allegorical_term_b,SY738: allegorical_term_b] :
( ( ( produc1990145943term_b @ SV469 @ SY736 )
= ( produc1990145943term_b @ SY737 @ SY738 ) )
= ( ~ ( ( SV469 != SY737 )
| ( SY736 != SY738 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2623]) ).
thf(2719,plain,
! [SV470: allegorical_term_b] :
( ( ! [SY739: produc1478835367term_b] :
( ( SV470
= ( produc1223098053term_b @ SY739 ) )
= ( ~ ! [SY740: allegorical_term_b] :
( SY739
!= ( produc1990145943term_b @ SY740 @ SV470 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2624]) ).
thf(2720,plain,
! [SV471: produc1235635379_b_nat > $o] :
( ( ! [SY741: produc1235635379_b_nat] :
( ~ ! [SY742: labeled_graph_b_nat,SY743: labeled_graph_b_nat] : ( SV471 @ ( produc951298923_b_nat @ SY742 @ SY743 ) )
| ( SV471 @ SY741 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2625]) ).
thf(2721,plain,
! [SV472: produc1478835367term_b] :
( ( ! [SY744: allegorical_term_b,SY745: allegorical_term_b] :
( ( SV472
!= ( produc1990145943term_b @ SY744 @ SY745 ) )
| ( ( produc854192515term_b @ SV472 )
= SY744 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2626]) ).
thf(2722,plain,
! [SV473: produc1235635379_b_nat] :
( ( ! [SY746: produc1235635379_b_nat] :
( ~ ~ ( ( ( produc1542243159_b_nat @ SV473 )
!= ( produc1542243159_b_nat @ SY746 ) )
| ( ( produc194497945_b_nat @ SV473 )
!= ( produc194497945_b_nat @ SY746 ) ) )
| ( SV473 = SY746 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2627]) ).
thf(2723,plain,
! [SV474: allegorical_term_b] :
( ( ! [SY747: allegorical_term_b,SY748: allegorical_term_b] :
( ( ( produc854192515term_b @ ( produc1990145943term_b @ SV474 @ SY747 ) )
!= SY748 )
| ( SV474 = SY748 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2628]) ).
thf(2724,plain,
! [SV475: labeled_graph_b_nat] :
( ( ! [SY749: labeled_graph_b_nat,SY750: labeled_graph_b_nat,SY751: labeled_graph_b_nat] :
( ( ( produc951298923_b_nat @ SV475 @ SY749 )
= ( produc951298923_b_nat @ SY750 @ SY751 ) )
= ( ~ ( ( SV475 != SY750 )
| ( SY749 != SY751 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2629]) ).
thf(2725,plain,
! [SV476: allegorical_term_b > $o] :
( ( ! [SY752: allegorical_term_b,SY753: allegorical_term_b > $o,SY754: allegorical_term_b] :
( ~ ( SV476 @ SY752 )
| ~ ( SY753 @ SY754 )
| ~ ( ~ ( SV476 @ ( produc854192515term_b @ ( produc1990145943term_b @ SY752 @ SY754 ) ) )
| ~ ( SY753 @ ( produc1223098053term_b @ ( produc1990145943term_b @ SY752 @ SY754 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2630]) ).
thf(2726,plain,
! [SV477: labeled_graph_b_nat > labeled_graph_b_nat > $o] :
( ( ! [SY755: labeled_graph_b_nat,SY756: labeled_graph_b_nat,SY757: produc1235635379_b_nat] :
( ~ ( SV477 @ SY755 @ SY756 )
| ( SY757
!= ( produc951298923_b_nat @ SY755 @ SY756 ) )
| ( SV477 @ ( produc1542243159_b_nat @ SY757 ) @ ( produc194497945_b_nat @ SY757 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2631]) ).
thf(2727,plain,
! [SV478: labeled_graph_b_nat] :
( ( ! [SY758: labeled_graph_b_nat,SY759: labeled_graph_b_nat] :
( ( ( produc1542243159_b_nat @ ( produc951298923_b_nat @ SV478 @ SY758 ) )
!= SY759 )
| ( SV478 = SY759 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2632]) ).
thf(2728,plain,
( ( ~ ~ ( ~ ~ ( ~ ( graph_529870330at_nat @ ( produc1542243159_b_nat @ standa879863266rule_b ) @ ( produc194497945_b_nat @ standa879863266rule_b ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ standa879863266rule_b ) ) ) )
| ( ( produc194497945_b_nat @ standa879863266rule_b )
!= ( restrict_b_nat @ ( produc194497945_b_nat @ standa879863266rule_b ) ) ) )
| ~ ( finite_finite_nat @ ( labele460410879_b_nat @ ( produc194497945_b_nat @ standa879863266rule_b ) ) ) )
| ~ ( finite1987068434at_nat @ ( labeled_edges_b_nat @ ( produc194497945_b_nat @ standa879863266rule_b ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2633]) ).
thf(2729,plain,
! [SV479: produc1478835367term_b] :
( ( ! [SY760: produc1478835367term_b] :
( ( ( produc854192515term_b @ SV479 )
!= ( produc854192515term_b @ SY760 ) )
| ( ( produc1223098053term_b @ SV479 )
!= ( produc1223098053term_b @ SY760 ) )
| ( SV479 = SY760 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2634]) ).
thf(2730,plain,
! [SV480: allegorical_term_b] :
( ( ! [SY761: allegorical_term_b,SY762: allegorical_term_b] :
( ( ( produc1223098053term_b @ ( produc1990145943term_b @ SV480 @ SY761 ) )
!= SY762 )
| ( SY761 = SY762 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2635]) ).
thf(2731,plain,
! [SV481: produc1235635379_b_nat] :
( ( ! [SY763: produc1235635379_b_nat] :
( ( ( produc1542243159_b_nat @ SV481 )
!= ( produc1542243159_b_nat @ SY763 ) )
| ( ( produc194497945_b_nat @ SV481 )
!= ( produc194497945_b_nat @ SY763 ) )
| ( SV481 = SY763 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2636]) ).
thf(2732,plain,
! [SV482: allegorical_term_b > allegorical_term_b > $o] :
( ( ! [SY764: produc1478835367term_b] :
( ~ ( SV482 @ ( produc1223098053term_b @ SY764 ) @ ( produc854192515term_b @ SY764 ) )
| ~ ! [SY765: allegorical_term_b,SY766: allegorical_term_b] :
~ ( SV482 @ SY766 @ SY765 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2637]) ).
thf(2733,plain,
! [SV483: b] :
( ( ~ ( ~ ~ ( ~ ~ ( ~ ( graph_529870330at_nat @ ( produc1542243159_b_nat @ ( standa1329480013rule_b @ SV483 ) ) @ ( produc194497945_b_nat @ ( standa1329480013rule_b @ SV483 ) ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ ( standa1329480013rule_b @ SV483 ) ) ) ) )
| ( ( produc194497945_b_nat @ ( standa1329480013rule_b @ SV483 ) )
!= ( restrict_b_nat @ ( produc194497945_b_nat @ ( standa1329480013rule_b @ SV483 ) ) ) ) )
| ~ ( finite_finite_nat @ ( labele460410879_b_nat @ ( produc194497945_b_nat @ ( standa1329480013rule_b @ SV483 ) ) ) ) )
| ~ ( finite1987068434at_nat @ ( labeled_edges_b_nat @ ( produc194497945_b_nat @ ( standa1329480013rule_b @ SV483 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2638]) ).
thf(2734,plain,
! [SV484: labeled_graph_b_nat] :
( ( ! [SY767: labeled_graph_b_nat,SY768: labeled_graph_b_nat,SY769: set_Pr1986765409at_nat] :
( ~ ( graph_529870330at_nat @ SV484 @ SY767 @ ( id_on_nat @ ( labele460410879_b_nat @ SV484 ) ) )
| ~ ( graph_529870330at_nat @ SY768 @ SV484 @ SY769 )
| ( graph_529870330at_nat @ SY768 @ SY767 @ SY769 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2639]) ).
thf(2735,plain,
! [SV485: set_Pr9961929at_nat] :
( ( ~ ~ ( finite1987068434at_nat @ SV485 )
| ( SV485 != bot_bo1626616373at_nat ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2640]) ).
thf(2736,plain,
! [SV486: labeled_graph_b_nat] :
( ( ! [SY770: labeled_graph_b_nat,SY771: set_Pr1986765409at_nat] :
( ~ ( graph_529870330at_nat @ SV486 @ SY770 @ SY771 )
| ( extensible_b_nat_nat @ ( produc951298923_b_nat @ SV486 @ SV486 ) @ SY770 @ SY771 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2641]) ).
thf(2737,plain,
! [SV487: produc1235635379_b_nat] :
( ( ! [SY772: labeled_graph_b_nat,SY773: labeled_graph_b_nat] :
( ( SV487
!= ( produc951298923_b_nat @ SY772 @ SY773 ) )
| ( ( produc1542243159_b_nat @ SV487 )
= SY772 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2642]) ).
thf(2738,plain,
! [SV488: produc1235635379_b_nat > $o] :
( ( ! [SY774: produc1235635379_b_nat] :
( ~ ! [SY775: labeled_graph_b_nat,SY776: labeled_graph_b_nat] : ( SV488 @ ( produc951298923_b_nat @ SY775 @ SY776 ) )
| ( SV488 @ SY774 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2643]) ).
thf(2739,plain,
! [SV489: produc1235635379_b_nat] :
( ( ~ ! [SY777: labeled_graph_b_nat,SY778: labeled_graph_b_nat] :
( SV489
!= ( produc951298923_b_nat @ SY777 @ SY778 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2644]) ).
thf(2740,plain,
! [SV490: labeled_graph_b_nat > labeled_graph_b_nat > $o] :
( ( ! [SY779: labeled_graph_b_nat,SY780: labeled_graph_b_nat] :
( ~ ( SV490 @ SY779 @ SY780 )
| ( SV490 @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ SY780 @ SY779 ) ) @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ SY780 @ SY779 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2645]) ).
thf(2741,plain,
! [SV491: labeled_graph_b_nat] :
( ( ! [SY781: labeled_graph_b_nat] :
( ~ ( graph_529870330at_nat @ SV491 @ SY781 @ ( id_on_nat @ ( labele460410879_b_nat @ SV491 ) ) )
| ( ord_le910748009at_nat @ ( labeled_edges_b_nat @ ( restrict_b_nat @ SV491 ) ) @ ( labeled_edges_b_nat @ SY781 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2646]) ).
thf(2742,plain,
! [SV492: produc1478835367term_b] :
( ( ! [SY782: produc1478835367term_b] :
( ~ ~ ( ( ( produc854192515term_b @ SV492 )
!= ( produc854192515term_b @ SY782 ) )
| ( ( produc1223098053term_b @ SV492 )
!= ( produc1223098053term_b @ SY782 ) ) )
| ( SV492 = SY782 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2647]) ).
thf(2743,plain,
! [SV493: allegorical_term_b] :
( ( ! [SY783: allegorical_term_b,SY784: allegorical_term_b,SY785: allegorical_term_b] :
( ( ( allegorical_A_Int_b @ SV493 @ SY783 )
= ( allegorical_A_Int_b @ SY784 @ SY785 ) )
= ( ~ ( ( SV493 != SY784 )
| ( SY783 != SY785 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2648]) ).
thf(2744,plain,
! [SV494: set_Pr9961929at_nat] :
( ( ! [SY786: set_Pr9961929at_nat] :
( ~ ( ord_le910748009at_nat @ SV494 @ SY786 )
| ~ ( finite1987068434at_nat @ SY786 )
| ( finite1987068434at_nat @ SV494 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2649]) ).
thf(2745,plain,
! [SV495: nat > labeled_graph_b_nat] :
( ( ! [SY787: nat] :
( ~ ( chain_b_nat @ SV495 )
| ( ( SV495 @ SY787 )
= ( restrict_b_nat @ ( SV495 @ SY787 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2650]) ).
thf(2746,plain,
! [SV496: allegorical_term_b] :
( ( ! [SY788: allegorical_term_b,SY789: allegorical_term_b,SY790: allegorical_term_b] :
( ( ( produc1990145943term_b @ SV496 @ SY788 )
= ( produc1990145943term_b @ SY789 @ SY790 ) )
= ( ~ ( ( SV496 != SY789 )
| ( SY788 != SY790 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2651]) ).
thf(2747,plain,
! [SV497: produc1478835367term_b] :
( ( ! [SY791: allegorical_term_b,SY792: allegorical_term_b] :
( ( SV497
!= ( produc1990145943term_b @ SY791 @ SY792 ) )
| ( ( produc1223098053term_b @ SV497 )
= SY792 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2652]) ).
thf(2748,plain,
! [SV498: produc1478835367term_b > $o] :
( ( ! [SY793: produc1478835367term_b] :
( ~ ! [SY794: allegorical_term_b,SY795: allegorical_term_b] : ( SV498 @ ( produc1990145943term_b @ SY794 @ SY795 ) )
| ( SV498 @ SY793 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2653]) ).
thf(2749,plain,
! [SV409: labeled_graph_b_nat] :
( ( ~ ( ( graph_529870330at_nat @ SV409 @ SV409 @ ( id_on_nat @ ( labele460410879_b_nat @ SV409 ) ) )
| ( SV409
= ( restrict_b_nat @ SV409 ) ) )
| ~ ( ~ ( graph_529870330at_nat @ SV409 @ SV409 @ ( id_on_nat @ ( labele460410879_b_nat @ SV409 ) ) )
| ( SV409
!= ( restrict_b_nat @ SV409 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[2654]) ).
thf(2750,plain,
! [SV409: labeled_graph_b_nat] :
( ( ( graph_529870330at_nat @ SV409 @ SV409 @ ( id_on_nat @ ( labele460410879_b_nat @ SV409 ) ) )
= ( SV409
= ( restrict_b_nat @ SV409 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[2654]) ).
thf(2751,plain,
! [SV410: labeled_graph_b_nat] :
( ( ~ ( ( graph_529870330at_nat @ SV410 @ ( restrict_b_nat @ SV410 ) @ ( id_on_nat @ ( labele460410879_b_nat @ SV410 ) ) )
| ( SV410
= ( restrict_b_nat @ SV410 ) ) )
| ~ ( ~ ( graph_529870330at_nat @ SV410 @ ( restrict_b_nat @ SV410 ) @ ( id_on_nat @ ( labele460410879_b_nat @ SV410 ) ) )
| ( SV410
!= ( restrict_b_nat @ SV410 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[2655]) ).
thf(2752,plain,
! [SV410: labeled_graph_b_nat] :
( ( ( graph_529870330at_nat @ SV410 @ ( restrict_b_nat @ SV410 ) @ ( id_on_nat @ ( labele460410879_b_nat @ SV410 ) ) )
= ( SV410
= ( restrict_b_nat @ SV410 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[2655]) ).
thf(2753,plain,
! [SV499: allegorical_term_b] :
( ( ( translation_b @ SV499 )
= ( restrict_b_nat @ ( translation_b @ SV499 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2661]) ).
thf(2754,plain,
! [SV500: labeled_graph_b_nat,SV419: labeled_graph_b_nat] :
( ( ( produc1542243159_b_nat @ ( produc951298923_b_nat @ SV419 @ SV500 ) )
= SV419 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2665]) ).
thf(2755,plain,
! [SV501: allegorical_term_b,SV420: allegorical_term_b] :
( ( ( produc854192515term_b @ ( produc1990145943term_b @ SV420 @ SV501 ) )
= SV420 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2666]) ).
thf(2756,plain,
! [SV502: allegorical_term_b,SV421: allegorical_term_b] :
( ( ( produc1223098053term_b @ ( produc1990145943term_b @ SV421 @ SV502 ) )
= SV502 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2667]) ).
thf(2757,plain,
! [SV503: labeled_graph_b_nat,SV422: labeled_graph_b_nat] :
( ( ( produc194497945_b_nat @ ( produc951298923_b_nat @ SV422 @ SV503 ) )
= SV503 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2668]) ).
thf(2758,plain,
! [SV504: set_nat,SV429: set_Pr9961929at_nat] :
( ( ( labele460410879_b_nat @ ( labeled_LG_b_nat @ SV429 @ SV504 ) )
= SV504 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2675]) ).
thf(2759,plain,
! [SV505: set_nat,SV430: set_Pr9961929at_nat] :
( ( ( labeled_edges_b_nat @ ( labeled_LG_b_nat @ SV430 @ SV505 ) )
= SV430 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2676]) ).
thf(2760,plain,
! [SV506: set_Pr9961929at_nat,SV434: set_Pr9961929at_nat] :
( ( ~ ( ord_le910748009at_nat @ SV434 @ SV506 )
| ~ ~ ( finite1987068434at_nat @ SV434 )
| ~ ( finite1987068434at_nat @ SV506 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2681]) ).
thf(2761,plain,
! [SV507: labeled_graph_b_nat,SV435: labeled_graph_b_nat > $o] :
( ( ! [SY796: labeled_graph_b_nat > $o,SY797: labeled_graph_b_nat] :
( ~ ( SV435 @ SV507 )
| ~ ( SY796 @ SY797 )
| ~ ( ~ ( SV435 @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ SV507 @ SY797 ) ) )
| ~ ( SY796 @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ SV507 @ SY797 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2682]) ).
thf(2762,plain,
! [SV508: produc1235635379_b_nat] :
( ( ( ^ [SY798: produc1235635379_b_nat] : ( SV508 = SY798 ) )
= ( ^ [SY799: produc1235635379_b_nat] :
~ ( ( ( produc1542243159_b_nat @ SV508 )
!= ( produc1542243159_b_nat @ SY799 ) )
| ( ( produc194497945_b_nat @ SV508 )
!= ( produc194497945_b_nat @ SY799 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2683]) ).
thf(2763,plain,
! [SV509: labeled_graph_b_nat,SV437: labeled_graph_b_nat] :
( ( ! [SY800: set_Pr551076371_b_nat,SY801: labeled_graph_b_nat] :
( ~ ( member963855452_b_nat @ ( produc951298923_b_nat @ SV437 @ SV509 ) @ SY800 )
| ( SY801 != SV509 )
| ( member963855452_b_nat @ ( produc951298923_b_nat @ SV437 @ SY801 ) @ SY800 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2685]) ).
thf(2764,plain,
! [SV438: set_nat] :
( ( ( ~ ~ ( finite_finite_nat @ SV438 ) )
= $true )
| ( ( SV438 != bot_bot_set_nat )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2686]) ).
thf(2765,plain,
! [SV439: produc1235635379_b_nat] :
( ( ! [SY680: labeled_graph_b_nat] :
~ ~ ! [SY681: labeled_graph_b_nat] :
( SV439
!= ( produc951298923_b_nat @ SY680 @ SY681 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2687]) ).
thf(2766,plain,
! [SV510: labeled_graph_b_nat,SV440: labeled_graph_b_nat] :
( ( ! [SY802: labeled_graph_b_nat] :
( ( ( produc194497945_b_nat @ ( produc951298923_b_nat @ SV440 @ SV510 ) )
!= SY802 )
| ( SV510 = SY802 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2688]) ).
thf(2767,plain,
! [SV511: labeled_graph_b_nat,SV441: labeled_graph_b_nat] :
( ( ! [SY803: labeled_graph_b_nat,SY804: labeled_graph_b_nat] :
( ( ( produc951298923_b_nat @ SV441 @ SV511 )
!= ( produc951298923_b_nat @ SY803 @ SY804 ) )
| ~ ( ( SV441 != SY803 )
| ( SV511 != SY804 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2689]) ).
thf(2768,plain,
! [SV512: produc1235635379_b_nat,SV442: labeled_graph_b_nat] :
( ( ( SV442
= ( produc1542243159_b_nat @ SV512 ) )
= ( ~ ! [SY805: labeled_graph_b_nat] :
( SV512
!= ( produc951298923_b_nat @ SV442 @ SY805 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2690]) ).
thf(2769,plain,
! [SV513: labeled_graph_b_nat,SV443: labeled_graph_b_nat] :
( ( ~ ( graph_529870330at_nat @ SV443 @ SV513 @ ( id_on_nat @ ( labele460410879_b_nat @ SV443 ) ) )
| ( ord_less_eq_set_nat @ ( labele460410879_b_nat @ SV443 ) @ ( labele460410879_b_nat @ SV513 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2691]) ).
thf(2770,plain,
! [SV514: produc1478835367term_b,SV444: produc1478835367term_b > $o] :
( ( ~ ! [SY691: allegorical_term_b,SY692: allegorical_term_b] : ( SV444 @ ( produc1990145943term_b @ SY691 @ SY692 ) )
| ( SV444 @ SV514 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2692]) ).
thf(2771,plain,
! [SV515: labeled_graph_b_nat,SV445: labeled_graph_b_nat] :
( ( ! [SY808: set_Pr1986765409at_nat,SY809: labeled_graph_b_nat,SY810: set_Pr1986765409at_nat] :
( ~ ( graph_529870330at_nat @ SV445 @ SV515 @ SY808 )
| ~ ( graph_529870330at_nat @ SV515 @ SY809 @ SY810 )
| ( graph_529870330at_nat @ SV445 @ SY809 @ ( relcomp_nat_nat_nat @ SY808 @ SY810 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2693]) ).
thf(2772,plain,
! [SV516: labeled_graph_b_nat,SV446: labeled_graph_b_nat] :
( ( ~ ~ ( ( ( labeled_edges_b_nat @ SV446 )
!= ( labeled_edges_b_nat @ SV516 ) )
| ( ( labele460410879_b_nat @ SV446 )
!= ( labele460410879_b_nat @ SV516 ) ) )
| ( SV446 = SV516 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2694]) ).
thf(2773,plain,
! [SV517: set_nat,SV447: set_nat] :
( ( ~ ( finite_finite_nat @ SV447 )
| ~ ( ord_less_eq_set_nat @ SV517 @ SV447 )
| ( finite_finite_nat @ SV517 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2695]) ).
thf(2774,plain,
! [SV518: produc1478835367term_b,SV448: allegorical_term_b] :
( ( ( SV448
= ( produc854192515term_b @ SV518 ) )
= ( ~ ! [SY811: allegorical_term_b] :
( SV518
!= ( produc1990145943term_b @ SV448 @ SY811 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2696]) ).
thf(2775,plain,
! [SV519: produc1235635379_b_nat,SV449: labeled_graph_b_nat > labeled_graph_b_nat > $o] :
( ( ~ ( SV449 @ ( produc194497945_b_nat @ SV519 ) @ ( produc1542243159_b_nat @ SV519 ) )
| ~ ! [SY702: labeled_graph_b_nat,SY703: labeled_graph_b_nat] :
~ ( SV449 @ SY703 @ SY702 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2697]) ).
thf(2776,plain,
! [SV450: labeled_graph_b_nat] :
( ( ( ~ ( ord_le910748009at_nat @ ( labeled_edges_b_nat @ SV450 ) @ ( labeled_edges_b_nat @ ( restrict_b_nat @ SV450 ) ) ) )
= $true )
| ( ( SV450
= ( restrict_b_nat @ SV450 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2698]) ).
thf(2777,plain,
! [SV520: allegorical_term_b,SV451: allegorical_term_b] :
( ( ! [SY814: allegorical_term_b,SY815: allegorical_term_b] :
( ( ( produc1990145943term_b @ SV451 @ SV520 )
!= ( produc1990145943term_b @ SY814 @ SY815 ) )
| ~ ( ( SV451 != SY814 )
| ( SV520 != SY815 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2699]) ).
thf(2778,plain,
! [SV521: allegorical_term_b,SV452: allegorical_term_b > allegorical_term_b > $o] :
( ( ! [SY816: allegorical_term_b,SY817: produc1478835367term_b] :
( ~ ( SV452 @ SV521 @ SY816 )
| ( SY817
!= ( produc1990145943term_b @ SV521 @ SY816 ) )
| ( SV452 @ ( produc854192515term_b @ SY817 ) @ ( produc1223098053term_b @ SY817 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2700]) ).
thf(2779,plain,
! [SV522: labeled_graph_b_nat,SV453: labeled_graph_b_nat] :
( ( ! [SY818: labeled_graph_b_nat,SY819: labeled_graph_b_nat] :
( ( ( produc951298923_b_nat @ SV453 @ SV522 )
= ( produc951298923_b_nat @ SY818 @ SY819 ) )
= ( ~ ( ( SV453 != SY818 )
| ( SV522 != SY819 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2701]) ).
thf(2780,plain,
! [SV523: allegorical_term_b,SV454: allegorical_term_b] :
( ( ! [SY820: set_Pr1163220871term_b,SY821: allegorical_term_b] :
( ~ ( member516522448term_b @ ( produc1990145943term_b @ SV454 @ SV523 ) @ SY820 )
| ( SY821 != SV523 )
| ( member516522448term_b @ ( produc1990145943term_b @ SV454 @ SY821 ) @ SY820 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2702]) ).
thf(2781,plain,
! [SV524: labeled_graph_b_nat,SV455: labeled_graph_b_nat] :
( ( ( graph_529870330at_nat @ SV455 @ SV524 @ ( id_on_nat @ ( labele460410879_b_nat @ SV455 ) ) )
= ( ~ ( ~ ~ ( ( SV455
!= ( restrict_b_nat @ SV455 ) )
| ( SV524
!= ( restrict_b_nat @ SV524 ) ) )
| ( ( graph_union_b_nat @ SV455 @ SV524 )
!= SV524 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2703]) ).
thf(2782,plain,
! [SV525: set_Pr9961929at_nat,SV456: set_Pr9961929at_nat] :
( ( ~ ( finite1987068434at_nat @ SV456 )
| ~ ( ord_le910748009at_nat @ SV525 @ SV456 )
| ( finite1987068434at_nat @ SV525 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2704]) ).
thf(2783,plain,
! [SV526: labeled_graph_b_nat,SV457: labeled_graph_b_nat] :
( ( ( SV457
!= ( restrict_b_nat @ SV457 ) )
| ( SV526
!= ( restrict_b_nat @ SV526 ) )
| ( ( graph_union_b_nat @ SV457 @ SV526 )
= ( restrict_b_nat @ ( graph_union_b_nat @ SV457 @ SV526 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2705]) ).
thf(2784,plain,
! [SV527: set_nat,SV458: set_nat] :
( ( ~ ( ord_less_eq_set_nat @ SV458 @ SV527 )
| ~ ~ ( finite_finite_nat @ SV458 )
| ~ ( finite_finite_nat @ SV527 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2706]) ).
thf(2785,plain,
! [SV459: produc1478835367term_b] :
( ( ! [SY720: allegorical_term_b,SY721: allegorical_term_b] :
( SV459
!= ( produc1990145943term_b @ SY720 @ SY721 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2707]) ).
thf(2786,plain,
! [SV460: b] :
( ( ~ ~ ( ~ ~ ( ~ ( graph_529870330at_nat @ ( produc1542243159_b_nat @ ( standa1360217389rule_b @ SV460 ) ) @ ( produc194497945_b_nat @ ( standa1360217389rule_b @ SV460 ) ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ ( standa1360217389rule_b @ SV460 ) ) ) ) )
| ( ( produc194497945_b_nat @ ( standa1360217389rule_b @ SV460 ) )
!= ( restrict_b_nat @ ( produc194497945_b_nat @ ( standa1360217389rule_b @ SV460 ) ) ) ) )
| ~ ( finite_finite_nat @ ( labele460410879_b_nat @ ( produc194497945_b_nat @ ( standa1360217389rule_b @ SV460 ) ) ) ) )
| ~ ( finite1987068434at_nat @ ( labeled_edges_b_nat @ ( produc194497945_b_nat @ ( standa1360217389rule_b @ SV460 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2708]) ).
thf(2787,plain,
! [SV528: allegorical_term_b,SV461: allegorical_term_b > allegorical_term_b > $o] :
( ( ! [SY822: allegorical_term_b] :
( ~ ( SV461 @ SV528 @ SY822 )
| ( SV461 @ ( produc1223098053term_b @ ( produc1990145943term_b @ SY822 @ SV528 ) ) @ ( produc854192515term_b @ ( produc1990145943term_b @ SY822 @ SV528 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2709]) ).
thf(2788,plain,
! [SV529: produc1235635379_b_nat,SV462: labeled_graph_b_nat] :
( ( ( SV462
= ( produc194497945_b_nat @ SV529 ) )
= ( ~ ! [SY823: labeled_graph_b_nat] :
( SV529
!= ( produc951298923_b_nat @ SY823 @ SV462 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2710]) ).
thf(2789,plain,
! [SV530: set_nat,SV463: set_nat] :
( ( ~ ( ord_less_eq_set_nat @ SV463 @ SV530 )
| ~ ( finite_finite_nat @ SV530 )
| ( finite_finite_nat @ SV463 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2711]) ).
thf(2790,plain,
! [SV531: labeled_graph_b_nat,SV464: labeled_graph_b_nat] :
( ( ! [SY824: labeled_graph_b_nat] :
( ~ ( graph_529870330at_nat @ SV464 @ SV531 @ ( id_on_nat @ ( labele460410879_b_nat @ SV464 ) ) )
| ~ ( graph_529870330at_nat @ SV531 @ SY824 @ ( id_on_nat @ ( labele460410879_b_nat @ SV531 ) ) )
| ( graph_529870330at_nat @ SV464 @ SY824 @ ( id_on_nat @ ( labele460410879_b_nat @ SV464 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2712]) ).
thf(2791,plain,
! [SV532: allegorical_term_b,SV465: allegorical_term_b] :
( ( ~ ( ~ ~ ( ~ ~ ( ~ ( graph_529870330at_nat @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV465 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV465 @ SV532 ) ) ) ) @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV465 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV465 @ SV532 ) ) ) ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV465 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV465 @ SV532 ) ) ) ) ) ) )
| ( ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV465 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV465 @ SV532 ) ) ) )
!= ( restrict_b_nat @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV465 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV465 @ SV532 ) ) ) ) ) ) )
| ~ ( finite_finite_nat @ ( labele460410879_b_nat @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV465 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV465 @ SV532 ) ) ) ) ) ) )
| ~ ( finite1987068434at_nat @ ( labeled_edges_b_nat @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV465 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV465 @ SV532 ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2713]) ).
thf(2792,plain,
! [SV533: produc1478835367term_b] :
( ( ( ^ [SY825: produc1478835367term_b] : ( SV533 = SY825 ) )
= ( ^ [SY826: produc1478835367term_b] :
~ ( ( ( produc854192515term_b @ SV533 )
!= ( produc854192515term_b @ SY826 ) )
| ( ( produc1223098053term_b @ SV533 )
!= ( produc1223098053term_b @ SY826 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2714]) ).
thf(2793,plain,
! [SV534: labeled_graph_b_nat,SV467: produc1235635379_b_nat] :
( ( ! [SY827: labeled_graph_b_nat] :
( ( SV467
!= ( produc951298923_b_nat @ SV534 @ SY827 ) )
| ( ( produc194497945_b_nat @ SV467 )
= SY827 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2716]) ).
thf(2794,plain,
! [SV468: produc1478835367term_b] :
( ( ! [SY734: allegorical_term_b] :
~ ~ ! [SY735: allegorical_term_b] :
( SV468
!= ( produc1990145943term_b @ SY734 @ SY735 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2717]) ).
thf(2795,plain,
! [SV535: allegorical_term_b,SV469: allegorical_term_b] :
( ( ! [SY828: allegorical_term_b,SY829: allegorical_term_b] :
( ( ( produc1990145943term_b @ SV469 @ SV535 )
= ( produc1990145943term_b @ SY828 @ SY829 ) )
= ( ~ ( ( SV469 != SY828 )
| ( SV535 != SY829 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2718]) ).
thf(2796,plain,
! [SV536: produc1478835367term_b,SV470: allegorical_term_b] :
( ( ( SV470
= ( produc1223098053term_b @ SV536 ) )
= ( ~ ! [SY830: allegorical_term_b] :
( SV536
!= ( produc1990145943term_b @ SY830 @ SV470 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2719]) ).
thf(2797,plain,
! [SV537: produc1235635379_b_nat,SV471: produc1235635379_b_nat > $o] :
( ( ~ ! [SY742: labeled_graph_b_nat,SY743: labeled_graph_b_nat] : ( SV471 @ ( produc951298923_b_nat @ SY742 @ SY743 ) )
| ( SV471 @ SV537 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2720]) ).
thf(2798,plain,
! [SV538: allegorical_term_b,SV472: produc1478835367term_b] :
( ( ! [SY833: allegorical_term_b] :
( ( SV472
!= ( produc1990145943term_b @ SV538 @ SY833 ) )
| ( ( produc854192515term_b @ SV472 )
= SV538 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2721]) ).
thf(2799,plain,
! [SV539: produc1235635379_b_nat,SV473: produc1235635379_b_nat] :
( ( ~ ~ ( ( ( produc1542243159_b_nat @ SV473 )
!= ( produc1542243159_b_nat @ SV539 ) )
| ( ( produc194497945_b_nat @ SV473 )
!= ( produc194497945_b_nat @ SV539 ) ) )
| ( SV473 = SV539 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2722]) ).
thf(2800,plain,
! [SV540: allegorical_term_b,SV474: allegorical_term_b] :
( ( ! [SY834: allegorical_term_b] :
( ( ( produc854192515term_b @ ( produc1990145943term_b @ SV474 @ SV540 ) )
!= SY834 )
| ( SV474 = SY834 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2723]) ).
thf(2801,plain,
! [SV541: labeled_graph_b_nat,SV475: labeled_graph_b_nat] :
( ( ! [SY835: labeled_graph_b_nat,SY836: labeled_graph_b_nat] :
( ( ( produc951298923_b_nat @ SV475 @ SV541 )
= ( produc951298923_b_nat @ SY835 @ SY836 ) )
= ( ~ ( ( SV475 != SY835 )
| ( SV541 != SY836 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2724]) ).
thf(2802,plain,
! [SV542: allegorical_term_b,SV476: allegorical_term_b > $o] :
( ( ! [SY837: allegorical_term_b > $o,SY838: allegorical_term_b] :
( ~ ( SV476 @ SV542 )
| ~ ( SY837 @ SY838 )
| ~ ( ~ ( SV476 @ ( produc854192515term_b @ ( produc1990145943term_b @ SV542 @ SY838 ) ) )
| ~ ( SY837 @ ( produc1223098053term_b @ ( produc1990145943term_b @ SV542 @ SY838 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2725]) ).
thf(2803,plain,
! [SV543: labeled_graph_b_nat,SV477: labeled_graph_b_nat > labeled_graph_b_nat > $o] :
( ( ! [SY839: labeled_graph_b_nat,SY840: produc1235635379_b_nat] :
( ~ ( SV477 @ SV543 @ SY839 )
| ( SY840
!= ( produc951298923_b_nat @ SV543 @ SY839 ) )
| ( SV477 @ ( produc1542243159_b_nat @ SY840 ) @ ( produc194497945_b_nat @ SY840 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2726]) ).
thf(2804,plain,
! [SV544: labeled_graph_b_nat,SV478: labeled_graph_b_nat] :
( ( ! [SY841: labeled_graph_b_nat] :
( ( ( produc1542243159_b_nat @ ( produc951298923_b_nat @ SV478 @ SV544 ) )
!= SY841 )
| ( SV478 = SY841 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2727]) ).
thf(2805,plain,
( ( ~ ~ ( ~ ~ ( ~ ( graph_529870330at_nat @ ( produc1542243159_b_nat @ standa879863266rule_b ) @ ( produc194497945_b_nat @ standa879863266rule_b ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ standa879863266rule_b ) ) ) )
| ( ( produc194497945_b_nat @ standa879863266rule_b )
!= ( restrict_b_nat @ ( produc194497945_b_nat @ standa879863266rule_b ) ) ) )
| ~ ( finite_finite_nat @ ( labele460410879_b_nat @ ( produc194497945_b_nat @ standa879863266rule_b ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2728]) ).
thf(2806,plain,
( ( ~ ( finite1987068434at_nat @ ( labeled_edges_b_nat @ ( produc194497945_b_nat @ standa879863266rule_b ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2728]) ).
thf(2807,plain,
! [SV545: produc1478835367term_b,SV479: produc1478835367term_b] :
( ( ( ( produc854192515term_b @ SV479 )
!= ( produc854192515term_b @ SV545 ) )
| ( ( produc1223098053term_b @ SV479 )
!= ( produc1223098053term_b @ SV545 ) )
| ( SV479 = SV545 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2729]) ).
thf(2808,plain,
! [SV546: allegorical_term_b,SV480: allegorical_term_b] :
( ( ! [SY842: allegorical_term_b] :
( ( ( produc1223098053term_b @ ( produc1990145943term_b @ SV480 @ SV546 ) )
!= SY842 )
| ( SV546 = SY842 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2730]) ).
thf(2809,plain,
! [SV547: produc1235635379_b_nat,SV481: produc1235635379_b_nat] :
( ( ( ( produc1542243159_b_nat @ SV481 )
!= ( produc1542243159_b_nat @ SV547 ) )
| ( ( produc194497945_b_nat @ SV481 )
!= ( produc194497945_b_nat @ SV547 ) )
| ( SV481 = SV547 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2731]) ).
thf(2810,plain,
! [SV548: produc1478835367term_b,SV482: allegorical_term_b > allegorical_term_b > $o] :
( ( ~ ( SV482 @ ( produc1223098053term_b @ SV548 ) @ ( produc854192515term_b @ SV548 ) )
| ~ ! [SY765: allegorical_term_b,SY766: allegorical_term_b] :
~ ( SV482 @ SY766 @ SY765 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2732]) ).
thf(2811,plain,
! [SV483: b] :
( ( ~ ~ ( ~ ~ ( ~ ( graph_529870330at_nat @ ( produc1542243159_b_nat @ ( standa1329480013rule_b @ SV483 ) ) @ ( produc194497945_b_nat @ ( standa1329480013rule_b @ SV483 ) ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ ( standa1329480013rule_b @ SV483 ) ) ) ) )
| ( ( produc194497945_b_nat @ ( standa1329480013rule_b @ SV483 ) )
!= ( restrict_b_nat @ ( produc194497945_b_nat @ ( standa1329480013rule_b @ SV483 ) ) ) ) )
| ~ ( finite_finite_nat @ ( labele460410879_b_nat @ ( produc194497945_b_nat @ ( standa1329480013rule_b @ SV483 ) ) ) ) )
| ~ ( finite1987068434at_nat @ ( labeled_edges_b_nat @ ( produc194497945_b_nat @ ( standa1329480013rule_b @ SV483 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2733]) ).
thf(2812,plain,
! [SV549: labeled_graph_b_nat,SV484: labeled_graph_b_nat] :
( ( ! [SY845: labeled_graph_b_nat,SY846: set_Pr1986765409at_nat] :
( ~ ( graph_529870330at_nat @ SV484 @ SV549 @ ( id_on_nat @ ( labele460410879_b_nat @ SV484 ) ) )
| ~ ( graph_529870330at_nat @ SY845 @ SV484 @ SY846 )
| ( graph_529870330at_nat @ SY845 @ SV549 @ SY846 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2734]) ).
thf(2813,plain,
! [SV485: set_Pr9961929at_nat] :
( ( ( ~ ~ ( finite1987068434at_nat @ SV485 ) )
= $true )
| ( ( SV485 != bot_bo1626616373at_nat )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2735]) ).
thf(2814,plain,
! [SV550: labeled_graph_b_nat,SV486: labeled_graph_b_nat] :
( ( ! [SY847: set_Pr1986765409at_nat] :
( ~ ( graph_529870330at_nat @ SV486 @ SV550 @ SY847 )
| ( extensible_b_nat_nat @ ( produc951298923_b_nat @ SV486 @ SV486 ) @ SV550 @ SY847 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2736]) ).
thf(2815,plain,
! [SV551: labeled_graph_b_nat,SV487: produc1235635379_b_nat] :
( ( ! [SY848: labeled_graph_b_nat] :
( ( SV487
!= ( produc951298923_b_nat @ SV551 @ SY848 ) )
| ( ( produc1542243159_b_nat @ SV487 )
= SV551 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2737]) ).
thf(2816,plain,
! [SV552: produc1235635379_b_nat,SV488: produc1235635379_b_nat > $o] :
( ( ~ ! [SY775: labeled_graph_b_nat,SY776: labeled_graph_b_nat] : ( SV488 @ ( produc951298923_b_nat @ SY775 @ SY776 ) )
| ( SV488 @ SV552 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2738]) ).
thf(2817,plain,
! [SV489: produc1235635379_b_nat] :
( ( ! [SY777: labeled_graph_b_nat,SY778: labeled_graph_b_nat] :
( SV489
!= ( produc951298923_b_nat @ SY777 @ SY778 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2739]) ).
thf(2818,plain,
! [SV553: labeled_graph_b_nat,SV490: labeled_graph_b_nat > labeled_graph_b_nat > $o] :
( ( ! [SY851: labeled_graph_b_nat] :
( ~ ( SV490 @ SV553 @ SY851 )
| ( SV490 @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ SY851 @ SV553 ) ) @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ SY851 @ SV553 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2740]) ).
thf(2819,plain,
! [SV554: labeled_graph_b_nat,SV491: labeled_graph_b_nat] :
( ( ~ ( graph_529870330at_nat @ SV491 @ SV554 @ ( id_on_nat @ ( labele460410879_b_nat @ SV491 ) ) )
| ( ord_le910748009at_nat @ ( labeled_edges_b_nat @ ( restrict_b_nat @ SV491 ) ) @ ( labeled_edges_b_nat @ SV554 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2741]) ).
thf(2820,plain,
! [SV555: produc1478835367term_b,SV492: produc1478835367term_b] :
( ( ~ ~ ( ( ( produc854192515term_b @ SV492 )
!= ( produc854192515term_b @ SV555 ) )
| ( ( produc1223098053term_b @ SV492 )
!= ( produc1223098053term_b @ SV555 ) ) )
| ( SV492 = SV555 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2742]) ).
thf(2821,plain,
! [SV556: allegorical_term_b,SV493: allegorical_term_b] :
( ( ! [SY852: allegorical_term_b,SY853: allegorical_term_b] :
( ( ( allegorical_A_Int_b @ SV493 @ SV556 )
= ( allegorical_A_Int_b @ SY852 @ SY853 ) )
= ( ~ ( ( SV493 != SY852 )
| ( SV556 != SY853 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2743]) ).
thf(2822,plain,
! [SV557: set_Pr9961929at_nat,SV494: set_Pr9961929at_nat] :
( ( ~ ( ord_le910748009at_nat @ SV494 @ SV557 )
| ~ ( finite1987068434at_nat @ SV557 )
| ( finite1987068434at_nat @ SV494 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2744]) ).
thf(2823,plain,
! [SV558: nat,SV495: nat > labeled_graph_b_nat] :
( ( ~ ( chain_b_nat @ SV495 )
| ( ( SV495 @ SV558 )
= ( restrict_b_nat @ ( SV495 @ SV558 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2745]) ).
thf(2824,plain,
! [SV559: allegorical_term_b,SV496: allegorical_term_b] :
( ( ! [SY854: allegorical_term_b,SY855: allegorical_term_b] :
( ( ( produc1990145943term_b @ SV496 @ SV559 )
= ( produc1990145943term_b @ SY854 @ SY855 ) )
= ( ~ ( ( SV496 != SY854 )
| ( SV559 != SY855 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2746]) ).
thf(2825,plain,
! [SV560: allegorical_term_b,SV497: produc1478835367term_b] :
( ( ! [SY856: allegorical_term_b] :
( ( SV497
!= ( produc1990145943term_b @ SV560 @ SY856 ) )
| ( ( produc1223098053term_b @ SV497 )
= SY856 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2747]) ).
thf(2826,plain,
! [SV561: produc1478835367term_b,SV498: produc1478835367term_b > $o] :
( ( ~ ! [SY794: allegorical_term_b,SY795: allegorical_term_b] : ( SV498 @ ( produc1990145943term_b @ SY794 @ SY795 ) )
| ( SV498 @ SV561 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2748]) ).
thf(2827,plain,
! [SV409: labeled_graph_b_nat] :
( ( ( ~ ( ( graph_529870330at_nat @ SV409 @ SV409 @ ( id_on_nat @ ( labele460410879_b_nat @ SV409 ) ) )
| ( SV409
= ( restrict_b_nat @ SV409 ) ) ) )
= $true )
| ( ( ~ ( ~ ( graph_529870330at_nat @ SV409 @ SV409 @ ( id_on_nat @ ( labele460410879_b_nat @ SV409 ) ) )
| ( SV409
!= ( restrict_b_nat @ SV409 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2749]) ).
thf(2828,plain,
! [SV410: labeled_graph_b_nat] :
( ( ( ~ ( ( graph_529870330at_nat @ SV410 @ ( restrict_b_nat @ SV410 ) @ ( id_on_nat @ ( labele460410879_b_nat @ SV410 ) ) )
| ( SV410
= ( restrict_b_nat @ SV410 ) ) ) )
= $true )
| ( ( ~ ( ~ ( graph_529870330at_nat @ SV410 @ ( restrict_b_nat @ SV410 ) @ ( id_on_nat @ ( labele460410879_b_nat @ SV410 ) ) )
| ( SV410
!= ( restrict_b_nat @ SV410 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2751]) ).
thf(2829,plain,
! [SV506: set_Pr9961929at_nat,SV434: set_Pr9961929at_nat] :
( ( ( ~ ( ord_le910748009at_nat @ SV434 @ SV506 ) )
= $true )
| ( ( ~ ~ ( finite1987068434at_nat @ SV434 )
| ~ ( finite1987068434at_nat @ SV506 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2760]) ).
thf(2830,plain,
! [SV562: labeled_graph_b_nat > $o,SV507: labeled_graph_b_nat,SV435: labeled_graph_b_nat > $o] :
( ( ! [SY859: labeled_graph_b_nat] :
( ~ ( SV435 @ SV507 )
| ~ ( SV562 @ SY859 )
| ~ ( ~ ( SV435 @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ SV507 @ SY859 ) ) )
| ~ ( SV562 @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ SV507 @ SY859 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2761]) ).
thf(2831,plain,
! [SV508: produc1235635379_b_nat] :
( ( ! [SV563: produc1235635379_b_nat] :
( ( SV508 = SV563 )
= ( ~ ( ( ( produc1542243159_b_nat @ SV508 )
!= ( produc1542243159_b_nat @ SV563 ) )
| ( ( produc194497945_b_nat @ SV508 )
!= ( produc194497945_b_nat @ SV563 ) ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[2762]) ).
thf(2832,plain,
! [SV508: produc1235635379_b_nat] :
( ( ( ^ [SY798: produc1235635379_b_nat] : ( SV508 = SY798 ) )
= ( ^ [SY799: produc1235635379_b_nat] :
~ ( ( ( produc1542243159_b_nat @ SV508 )
!= ( produc1542243159_b_nat @ SY799 ) )
| ( ( produc194497945_b_nat @ SV508 )
!= ( produc194497945_b_nat @ SY799 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[2762]) ).
thf(2833,plain,
! [SV564: set_Pr551076371_b_nat,SV509: labeled_graph_b_nat,SV437: labeled_graph_b_nat] :
( ( ! [SY860: labeled_graph_b_nat] :
( ~ ( member963855452_b_nat @ ( produc951298923_b_nat @ SV437 @ SV509 ) @ SV564 )
| ( SY860 != SV509 )
| ( member963855452_b_nat @ ( produc951298923_b_nat @ SV437 @ SY860 ) @ SV564 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2763]) ).
thf(2834,plain,
! [SV438: set_nat] :
( ( ( ~ ( finite_finite_nat @ SV438 ) )
= $false )
| ( ( SV438 != bot_bot_set_nat )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2764]) ).
thf(2835,plain,
! [SV439: produc1235635379_b_nat] :
( ( ~ ~ ! [SY861: labeled_graph_b_nat] :
( SV439
!= ( produc951298923_b_nat @ ( sK57_SY680 @ SV439 ) @ SY861 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[2765]) ).
thf(2836,plain,
! [SV565: labeled_graph_b_nat,SV510: labeled_graph_b_nat,SV440: labeled_graph_b_nat] :
( ( ( ( produc194497945_b_nat @ ( produc951298923_b_nat @ SV440 @ SV510 ) )
!= SV565 )
| ( SV510 = SV565 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2766]) ).
thf(2837,plain,
! [SV566: labeled_graph_b_nat,SV511: labeled_graph_b_nat,SV441: labeled_graph_b_nat] :
( ( ! [SY862: labeled_graph_b_nat] :
( ( ( produc951298923_b_nat @ SV441 @ SV511 )
!= ( produc951298923_b_nat @ SV566 @ SY862 ) )
| ~ ( ( SV441 != SV566 )
| ( SV511 != SY862 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2767]) ).
thf(2838,plain,
! [SV512: produc1235635379_b_nat,SV442: labeled_graph_b_nat] :
( ( ~ ( ( SV442
= ( produc1542243159_b_nat @ SV512 ) )
| ~ ! [SY805: labeled_graph_b_nat] :
( SV512
!= ( produc951298923_b_nat @ SV442 @ SY805 ) ) )
| ~ ( ( SV442
!= ( produc1542243159_b_nat @ SV512 ) )
| ~ ~ ! [SY805: labeled_graph_b_nat] :
( SV512
!= ( produc951298923_b_nat @ SV442 @ SY805 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[2768]) ).
thf(2839,plain,
! [SV512: produc1235635379_b_nat,SV442: labeled_graph_b_nat] :
( ( ( SV442
= ( produc1542243159_b_nat @ SV512 ) )
= ( ~ ! [SY805: labeled_graph_b_nat] :
( SV512
!= ( produc951298923_b_nat @ SV442 @ SY805 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[2768]) ).
thf(2840,plain,
! [SV513: labeled_graph_b_nat,SV443: labeled_graph_b_nat] :
( ( ( ~ ( graph_529870330at_nat @ SV443 @ SV513 @ ( id_on_nat @ ( labele460410879_b_nat @ SV443 ) ) ) )
= $true )
| ( ( ord_less_eq_set_nat @ ( labele460410879_b_nat @ SV443 ) @ ( labele460410879_b_nat @ SV513 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2769]) ).
thf(2841,plain,
! [SV514: produc1478835367term_b,SV444: produc1478835367term_b > $o] :
( ( ( ~ ! [SY691: allegorical_term_b,SY692: allegorical_term_b] : ( SV444 @ ( produc1990145943term_b @ SY691 @ SY692 ) ) )
= $true )
| ( ( SV444 @ SV514 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2770]) ).
thf(2842,plain,
! [SV567: set_Pr1986765409at_nat,SV515: labeled_graph_b_nat,SV445: labeled_graph_b_nat] :
( ( ! [SY863: labeled_graph_b_nat,SY864: set_Pr1986765409at_nat] :
( ~ ( graph_529870330at_nat @ SV445 @ SV515 @ SV567 )
| ~ ( graph_529870330at_nat @ SV515 @ SY863 @ SY864 )
| ( graph_529870330at_nat @ SV445 @ SY863 @ ( relcomp_nat_nat_nat @ SV567 @ SY864 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2771]) ).
thf(2843,plain,
! [SV516: labeled_graph_b_nat,SV446: labeled_graph_b_nat] :
( ( ( ~ ~ ( ( ( labeled_edges_b_nat @ SV446 )
!= ( labeled_edges_b_nat @ SV516 ) )
| ( ( labele460410879_b_nat @ SV446 )
!= ( labele460410879_b_nat @ SV516 ) ) ) )
= $true )
| ( ( SV446 = SV516 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2772]) ).
thf(2844,plain,
! [SV517: set_nat,SV447: set_nat] :
( ( ( ~ ( finite_finite_nat @ SV447 ) )
= $true )
| ( ( ~ ( ord_less_eq_set_nat @ SV517 @ SV447 )
| ( finite_finite_nat @ SV517 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2773]) ).
thf(2845,plain,
! [SV518: produc1478835367term_b,SV448: allegorical_term_b] :
( ( ~ ( ( SV448
= ( produc854192515term_b @ SV518 ) )
| ~ ! [SY811: allegorical_term_b] :
( SV518
!= ( produc1990145943term_b @ SV448 @ SY811 ) ) )
| ~ ( ( SV448
!= ( produc854192515term_b @ SV518 ) )
| ~ ~ ! [SY811: allegorical_term_b] :
( SV518
!= ( produc1990145943term_b @ SV448 @ SY811 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[2774]) ).
thf(2846,plain,
! [SV518: produc1478835367term_b,SV448: allegorical_term_b] :
( ( ( SV448
= ( produc854192515term_b @ SV518 ) )
= ( ~ ! [SY811: allegorical_term_b] :
( SV518
!= ( produc1990145943term_b @ SV448 @ SY811 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[2774]) ).
thf(2847,plain,
! [SV519: produc1235635379_b_nat,SV449: labeled_graph_b_nat > labeled_graph_b_nat > $o] :
( ( ( ~ ( SV449 @ ( produc194497945_b_nat @ SV519 ) @ ( produc1542243159_b_nat @ SV519 ) ) )
= $true )
| ( ( ~ ! [SY702: labeled_graph_b_nat,SY703: labeled_graph_b_nat] :
~ ( SV449 @ SY703 @ SY702 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2775]) ).
thf(2848,plain,
! [SV450: labeled_graph_b_nat] :
( ( ( ord_le910748009at_nat @ ( labeled_edges_b_nat @ SV450 ) @ ( labeled_edges_b_nat @ ( restrict_b_nat @ SV450 ) ) )
= $false )
| ( ( SV450
= ( restrict_b_nat @ SV450 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2776]) ).
thf(2849,plain,
! [SV568: allegorical_term_b,SV520: allegorical_term_b,SV451: allegorical_term_b] :
( ( ! [SY865: allegorical_term_b] :
( ( ( produc1990145943term_b @ SV451 @ SV520 )
!= ( produc1990145943term_b @ SV568 @ SY865 ) )
| ~ ( ( SV451 != SV568 )
| ( SV520 != SY865 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2777]) ).
thf(2850,plain,
! [SV569: allegorical_term_b,SV521: allegorical_term_b,SV452: allegorical_term_b > allegorical_term_b > $o] :
( ( ! [SY866: produc1478835367term_b] :
( ~ ( SV452 @ SV521 @ SV569 )
| ( SY866
!= ( produc1990145943term_b @ SV521 @ SV569 ) )
| ( SV452 @ ( produc854192515term_b @ SY866 ) @ ( produc1223098053term_b @ SY866 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2778]) ).
thf(2851,plain,
! [SV570: labeled_graph_b_nat,SV522: labeled_graph_b_nat,SV453: labeled_graph_b_nat] :
( ( ! [SY867: labeled_graph_b_nat] :
( ( ( produc951298923_b_nat @ SV453 @ SV522 )
= ( produc951298923_b_nat @ SV570 @ SY867 ) )
= ( ~ ( ( SV453 != SV570 )
| ( SV522 != SY867 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2779]) ).
thf(2852,plain,
! [SV571: set_Pr1163220871term_b,SV523: allegorical_term_b,SV454: allegorical_term_b] :
( ( ! [SY868: allegorical_term_b] :
( ~ ( member516522448term_b @ ( produc1990145943term_b @ SV454 @ SV523 ) @ SV571 )
| ( SY868 != SV523 )
| ( member516522448term_b @ ( produc1990145943term_b @ SV454 @ SY868 ) @ SV571 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2780]) ).
thf(2853,plain,
! [SV524: labeled_graph_b_nat,SV455: labeled_graph_b_nat] :
( ( ~ ( ( graph_529870330at_nat @ SV455 @ SV524 @ ( id_on_nat @ ( labele460410879_b_nat @ SV455 ) ) )
| ~ ( ~ ~ ( ( SV455
!= ( restrict_b_nat @ SV455 ) )
| ( SV524
!= ( restrict_b_nat @ SV524 ) ) )
| ( ( graph_union_b_nat @ SV455 @ SV524 )
!= SV524 ) ) )
| ~ ( ~ ( graph_529870330at_nat @ SV455 @ SV524 @ ( id_on_nat @ ( labele460410879_b_nat @ SV455 ) ) )
| ~ ~ ( ~ ~ ( ( SV455
!= ( restrict_b_nat @ SV455 ) )
| ( SV524
!= ( restrict_b_nat @ SV524 ) ) )
| ( ( graph_union_b_nat @ SV455 @ SV524 )
!= SV524 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[2781]) ).
thf(2854,plain,
! [SV524: labeled_graph_b_nat,SV455: labeled_graph_b_nat] :
( ( ( graph_529870330at_nat @ SV455 @ SV524 @ ( id_on_nat @ ( labele460410879_b_nat @ SV455 ) ) )
= ( ~ ( ~ ~ ( ( SV455
!= ( restrict_b_nat @ SV455 ) )
| ( SV524
!= ( restrict_b_nat @ SV524 ) ) )
| ( ( graph_union_b_nat @ SV455 @ SV524 )
!= SV524 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[2781]) ).
thf(2855,plain,
! [SV525: set_Pr9961929at_nat,SV456: set_Pr9961929at_nat] :
( ( ( ~ ( finite1987068434at_nat @ SV456 ) )
= $true )
| ( ( ~ ( ord_le910748009at_nat @ SV525 @ SV456 )
| ( finite1987068434at_nat @ SV525 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2782]) ).
thf(2856,plain,
! [SV526: labeled_graph_b_nat,SV457: labeled_graph_b_nat] :
( ( ( SV457
!= ( restrict_b_nat @ SV457 ) )
= $true )
| ( ( ( SV526
!= ( restrict_b_nat @ SV526 ) )
| ( ( graph_union_b_nat @ SV457 @ SV526 )
= ( restrict_b_nat @ ( graph_union_b_nat @ SV457 @ SV526 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2783]) ).
thf(2857,plain,
! [SV527: set_nat,SV458: set_nat] :
( ( ( ~ ( ord_less_eq_set_nat @ SV458 @ SV527 ) )
= $true )
| ( ( ~ ~ ( finite_finite_nat @ SV458 )
| ~ ( finite_finite_nat @ SV527 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2784]) ).
thf(2858,plain,
! [SV459: produc1478835367term_b] :
( ( ! [SY869: allegorical_term_b] :
( SV459
!= ( produc1990145943term_b @ ( sK58_SY720 @ SV459 ) @ SY869 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[2785]) ).
thf(2859,plain,
! [SV460: b] :
( ( ~ ~ ( ~ ~ ( ~ ( graph_529870330at_nat @ ( produc1542243159_b_nat @ ( standa1360217389rule_b @ SV460 ) ) @ ( produc194497945_b_nat @ ( standa1360217389rule_b @ SV460 ) ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ ( standa1360217389rule_b @ SV460 ) ) ) ) )
| ( ( produc194497945_b_nat @ ( standa1360217389rule_b @ SV460 ) )
!= ( restrict_b_nat @ ( produc194497945_b_nat @ ( standa1360217389rule_b @ SV460 ) ) ) ) )
| ~ ( finite_finite_nat @ ( labele460410879_b_nat @ ( produc194497945_b_nat @ ( standa1360217389rule_b @ SV460 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2786]) ).
thf(2860,plain,
! [SV460: b] :
( ( ~ ( finite1987068434at_nat @ ( labeled_edges_b_nat @ ( produc194497945_b_nat @ ( standa1360217389rule_b @ SV460 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2786]) ).
thf(2861,plain,
! [SV572: allegorical_term_b,SV528: allegorical_term_b,SV461: allegorical_term_b > allegorical_term_b > $o] :
( ( ~ ( SV461 @ SV528 @ SV572 )
| ( SV461 @ ( produc1223098053term_b @ ( produc1990145943term_b @ SV572 @ SV528 ) ) @ ( produc854192515term_b @ ( produc1990145943term_b @ SV572 @ SV528 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2787]) ).
thf(2862,plain,
! [SV529: produc1235635379_b_nat,SV462: labeled_graph_b_nat] :
( ( ~ ( ( SV462
= ( produc194497945_b_nat @ SV529 ) )
| ~ ! [SY823: labeled_graph_b_nat] :
( SV529
!= ( produc951298923_b_nat @ SY823 @ SV462 ) ) )
| ~ ( ( SV462
!= ( produc194497945_b_nat @ SV529 ) )
| ~ ~ ! [SY823: labeled_graph_b_nat] :
( SV529
!= ( produc951298923_b_nat @ SY823 @ SV462 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[2788]) ).
thf(2863,plain,
! [SV529: produc1235635379_b_nat,SV462: labeled_graph_b_nat] :
( ( ( SV462
= ( produc194497945_b_nat @ SV529 ) )
= ( ~ ! [SY823: labeled_graph_b_nat] :
( SV529
!= ( produc951298923_b_nat @ SY823 @ SV462 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[2788]) ).
thf(2864,plain,
! [SV530: set_nat,SV463: set_nat] :
( ( ( ~ ( ord_less_eq_set_nat @ SV463 @ SV530 ) )
= $true )
| ( ( ~ ( finite_finite_nat @ SV530 )
| ( finite_finite_nat @ SV463 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2789]) ).
thf(2865,plain,
! [SV573: labeled_graph_b_nat,SV531: labeled_graph_b_nat,SV464: labeled_graph_b_nat] :
( ( ~ ( graph_529870330at_nat @ SV464 @ SV531 @ ( id_on_nat @ ( labele460410879_b_nat @ SV464 ) ) )
| ~ ( graph_529870330at_nat @ SV531 @ SV573 @ ( id_on_nat @ ( labele460410879_b_nat @ SV531 ) ) )
| ( graph_529870330at_nat @ SV464 @ SV573 @ ( id_on_nat @ ( labele460410879_b_nat @ SV464 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2790]) ).
thf(2866,plain,
! [SV532: allegorical_term_b,SV465: allegorical_term_b] :
( ( ~ ~ ( ~ ~ ( ~ ( graph_529870330at_nat @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV465 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV465 @ SV532 ) ) ) ) @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV465 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV465 @ SV532 ) ) ) ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV465 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV465 @ SV532 ) ) ) ) ) ) )
| ( ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV465 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV465 @ SV532 ) ) ) )
!= ( restrict_b_nat @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV465 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV465 @ SV532 ) ) ) ) ) ) )
| ~ ( finite_finite_nat @ ( labele460410879_b_nat @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV465 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV465 @ SV532 ) ) ) ) ) ) )
| ~ ( finite1987068434at_nat @ ( labeled_edges_b_nat @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV465 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV465 @ SV532 ) ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2791]) ).
thf(2867,plain,
! [SV533: produc1478835367term_b] :
( ( ! [SV574: produc1478835367term_b] :
( ( SV533 = SV574 )
= ( ~ ( ( ( produc854192515term_b @ SV533 )
!= ( produc854192515term_b @ SV574 ) )
| ( ( produc1223098053term_b @ SV533 )
!= ( produc1223098053term_b @ SV574 ) ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[2792]) ).
thf(2868,plain,
! [SV533: produc1478835367term_b] :
( ( ( ^ [SY825: produc1478835367term_b] : ( SV533 = SY825 ) )
= ( ^ [SY826: produc1478835367term_b] :
~ ( ( ( produc854192515term_b @ SV533 )
!= ( produc854192515term_b @ SY826 ) )
| ( ( produc1223098053term_b @ SV533 )
!= ( produc1223098053term_b @ SY826 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[2792]) ).
thf(2869,plain,
! [SV575: labeled_graph_b_nat,SV534: labeled_graph_b_nat,SV467: produc1235635379_b_nat] :
( ( ( SV467
!= ( produc951298923_b_nat @ SV534 @ SV575 ) )
| ( ( produc194497945_b_nat @ SV467 )
= SV575 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2793]) ).
thf(2870,plain,
! [SV468: produc1478835367term_b] :
( ( ~ ~ ! [SY870: allegorical_term_b] :
( SV468
!= ( produc1990145943term_b @ ( sK59_SY734 @ SV468 ) @ SY870 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[2794]) ).
thf(2871,plain,
! [SV576: allegorical_term_b,SV535: allegorical_term_b,SV469: allegorical_term_b] :
( ( ! [SY871: allegorical_term_b] :
( ( ( produc1990145943term_b @ SV469 @ SV535 )
= ( produc1990145943term_b @ SV576 @ SY871 ) )
= ( ~ ( ( SV469 != SV576 )
| ( SV535 != SY871 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2795]) ).
thf(2872,plain,
! [SV536: produc1478835367term_b,SV470: allegorical_term_b] :
( ( ~ ( ( SV470
= ( produc1223098053term_b @ SV536 ) )
| ~ ! [SY830: allegorical_term_b] :
( SV536
!= ( produc1990145943term_b @ SY830 @ SV470 ) ) )
| ~ ( ( SV470
!= ( produc1223098053term_b @ SV536 ) )
| ~ ~ ! [SY830: allegorical_term_b] :
( SV536
!= ( produc1990145943term_b @ SY830 @ SV470 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[2796]) ).
thf(2873,plain,
! [SV536: produc1478835367term_b,SV470: allegorical_term_b] :
( ( ( SV470
= ( produc1223098053term_b @ SV536 ) )
= ( ~ ! [SY830: allegorical_term_b] :
( SV536
!= ( produc1990145943term_b @ SY830 @ SV470 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[2796]) ).
thf(2874,plain,
! [SV537: produc1235635379_b_nat,SV471: produc1235635379_b_nat > $o] :
( ( ( ~ ! [SY742: labeled_graph_b_nat,SY743: labeled_graph_b_nat] : ( SV471 @ ( produc951298923_b_nat @ SY742 @ SY743 ) ) )
= $true )
| ( ( SV471 @ SV537 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2797]) ).
thf(2875,plain,
! [SV577: allegorical_term_b,SV538: allegorical_term_b,SV472: produc1478835367term_b] :
( ( ( SV472
!= ( produc1990145943term_b @ SV538 @ SV577 ) )
| ( ( produc854192515term_b @ SV472 )
= SV538 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2798]) ).
thf(2876,plain,
! [SV539: produc1235635379_b_nat,SV473: produc1235635379_b_nat] :
( ( ( ~ ~ ( ( ( produc1542243159_b_nat @ SV473 )
!= ( produc1542243159_b_nat @ SV539 ) )
| ( ( produc194497945_b_nat @ SV473 )
!= ( produc194497945_b_nat @ SV539 ) ) ) )
= $true )
| ( ( SV473 = SV539 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2799]) ).
thf(2877,plain,
! [SV578: allegorical_term_b,SV540: allegorical_term_b,SV474: allegorical_term_b] :
( ( ( ( produc854192515term_b @ ( produc1990145943term_b @ SV474 @ SV540 ) )
!= SV578 )
| ( SV474 = SV578 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2800]) ).
thf(2878,plain,
! [SV579: labeled_graph_b_nat,SV541: labeled_graph_b_nat,SV475: labeled_graph_b_nat] :
( ( ! [SY872: labeled_graph_b_nat] :
( ( ( produc951298923_b_nat @ SV475 @ SV541 )
= ( produc951298923_b_nat @ SV579 @ SY872 ) )
= ( ~ ( ( SV475 != SV579 )
| ( SV541 != SY872 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2801]) ).
thf(2879,plain,
! [SV580: allegorical_term_b > $o,SV542: allegorical_term_b,SV476: allegorical_term_b > $o] :
( ( ! [SY873: allegorical_term_b] :
( ~ ( SV476 @ SV542 )
| ~ ( SV580 @ SY873 )
| ~ ( ~ ( SV476 @ ( produc854192515term_b @ ( produc1990145943term_b @ SV542 @ SY873 ) ) )
| ~ ( SV580 @ ( produc1223098053term_b @ ( produc1990145943term_b @ SV542 @ SY873 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2802]) ).
thf(2880,plain,
! [SV581: labeled_graph_b_nat,SV543: labeled_graph_b_nat,SV477: labeled_graph_b_nat > labeled_graph_b_nat > $o] :
( ( ! [SY874: produc1235635379_b_nat] :
( ~ ( SV477 @ SV543 @ SV581 )
| ( SY874
!= ( produc951298923_b_nat @ SV543 @ SV581 ) )
| ( SV477 @ ( produc1542243159_b_nat @ SY874 ) @ ( produc194497945_b_nat @ SY874 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2803]) ).
thf(2881,plain,
! [SV582: labeled_graph_b_nat,SV544: labeled_graph_b_nat,SV478: labeled_graph_b_nat] :
( ( ( ( produc1542243159_b_nat @ ( produc951298923_b_nat @ SV478 @ SV544 ) )
!= SV582 )
| ( SV478 = SV582 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2804]) ).
thf(2882,plain,
( ( ~ ( ~ ~ ( ~ ( graph_529870330at_nat @ ( produc1542243159_b_nat @ standa879863266rule_b ) @ ( produc194497945_b_nat @ standa879863266rule_b ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ standa879863266rule_b ) ) ) )
| ( ( produc194497945_b_nat @ standa879863266rule_b )
!= ( restrict_b_nat @ ( produc194497945_b_nat @ standa879863266rule_b ) ) ) )
| ~ ( finite_finite_nat @ ( labele460410879_b_nat @ ( produc194497945_b_nat @ standa879863266rule_b ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2805]) ).
thf(2883,plain,
( ( finite1987068434at_nat @ ( labeled_edges_b_nat @ ( produc194497945_b_nat @ standa879863266rule_b ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2806]) ).
thf(2884,plain,
! [SV545: produc1478835367term_b,SV479: produc1478835367term_b] :
( ( ( ( produc854192515term_b @ SV479 )
!= ( produc854192515term_b @ SV545 ) )
= $true )
| ( ( ( ( produc1223098053term_b @ SV479 )
!= ( produc1223098053term_b @ SV545 ) )
| ( SV479 = SV545 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2807]) ).
thf(2885,plain,
! [SV583: allegorical_term_b,SV546: allegorical_term_b,SV480: allegorical_term_b] :
( ( ( ( produc1223098053term_b @ ( produc1990145943term_b @ SV480 @ SV546 ) )
!= SV583 )
| ( SV546 = SV583 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2808]) ).
thf(2886,plain,
! [SV547: produc1235635379_b_nat,SV481: produc1235635379_b_nat] :
( ( ( ( produc1542243159_b_nat @ SV481 )
!= ( produc1542243159_b_nat @ SV547 ) )
= $true )
| ( ( ( ( produc194497945_b_nat @ SV481 )
!= ( produc194497945_b_nat @ SV547 ) )
| ( SV481 = SV547 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2809]) ).
thf(2887,plain,
! [SV548: produc1478835367term_b,SV482: allegorical_term_b > allegorical_term_b > $o] :
( ( ( ~ ( SV482 @ ( produc1223098053term_b @ SV548 ) @ ( produc854192515term_b @ SV548 ) ) )
= $true )
| ( ( ~ ! [SY765: allegorical_term_b,SY766: allegorical_term_b] :
~ ( SV482 @ SY766 @ SY765 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2810]) ).
thf(2888,plain,
! [SV483: b] :
( ( ~ ~ ( ~ ~ ( ~ ( graph_529870330at_nat @ ( produc1542243159_b_nat @ ( standa1329480013rule_b @ SV483 ) ) @ ( produc194497945_b_nat @ ( standa1329480013rule_b @ SV483 ) ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ ( standa1329480013rule_b @ SV483 ) ) ) ) )
| ( ( produc194497945_b_nat @ ( standa1329480013rule_b @ SV483 ) )
!= ( restrict_b_nat @ ( produc194497945_b_nat @ ( standa1329480013rule_b @ SV483 ) ) ) ) )
| ~ ( finite_finite_nat @ ( labele460410879_b_nat @ ( produc194497945_b_nat @ ( standa1329480013rule_b @ SV483 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2811]) ).
thf(2889,plain,
! [SV483: b] :
( ( ~ ( finite1987068434at_nat @ ( labeled_edges_b_nat @ ( produc194497945_b_nat @ ( standa1329480013rule_b @ SV483 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2811]) ).
thf(2890,plain,
! [SV584: labeled_graph_b_nat,SV549: labeled_graph_b_nat,SV484: labeled_graph_b_nat] :
( ( ! [SY875: set_Pr1986765409at_nat] :
( ~ ( graph_529870330at_nat @ SV484 @ SV549 @ ( id_on_nat @ ( labele460410879_b_nat @ SV484 ) ) )
| ~ ( graph_529870330at_nat @ SV584 @ SV484 @ SY875 )
| ( graph_529870330at_nat @ SV584 @ SV549 @ SY875 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2812]) ).
thf(2891,plain,
! [SV485: set_Pr9961929at_nat] :
( ( ( ~ ( finite1987068434at_nat @ SV485 ) )
= $false )
| ( ( SV485 != bot_bo1626616373at_nat )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2813]) ).
thf(2892,plain,
! [SV585: set_Pr1986765409at_nat,SV550: labeled_graph_b_nat,SV486: labeled_graph_b_nat] :
( ( ~ ( graph_529870330at_nat @ SV486 @ SV550 @ SV585 )
| ( extensible_b_nat_nat @ ( produc951298923_b_nat @ SV486 @ SV486 ) @ SV550 @ SV585 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2814]) ).
thf(2893,plain,
! [SV586: labeled_graph_b_nat,SV551: labeled_graph_b_nat,SV487: produc1235635379_b_nat] :
( ( ( SV487
!= ( produc951298923_b_nat @ SV551 @ SV586 ) )
| ( ( produc1542243159_b_nat @ SV487 )
= SV551 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2815]) ).
thf(2894,plain,
! [SV552: produc1235635379_b_nat,SV488: produc1235635379_b_nat > $o] :
( ( ( ~ ! [SY775: labeled_graph_b_nat,SY776: labeled_graph_b_nat] : ( SV488 @ ( produc951298923_b_nat @ SY775 @ SY776 ) ) )
= $true )
| ( ( SV488 @ SV552 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2816]) ).
thf(2895,plain,
! [SV489: produc1235635379_b_nat] :
( ( ! [SY876: labeled_graph_b_nat] :
( SV489
!= ( produc951298923_b_nat @ ( sK60_SY777 @ SV489 ) @ SY876 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[2817]) ).
thf(2896,plain,
! [SV587: labeled_graph_b_nat,SV553: labeled_graph_b_nat,SV490: labeled_graph_b_nat > labeled_graph_b_nat > $o] :
( ( ~ ( SV490 @ SV553 @ SV587 )
| ( SV490 @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ SV587 @ SV553 ) ) @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ SV587 @ SV553 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2818]) ).
thf(2897,plain,
! [SV554: labeled_graph_b_nat,SV491: labeled_graph_b_nat] :
( ( ( ~ ( graph_529870330at_nat @ SV491 @ SV554 @ ( id_on_nat @ ( labele460410879_b_nat @ SV491 ) ) ) )
= $true )
| ( ( ord_le910748009at_nat @ ( labeled_edges_b_nat @ ( restrict_b_nat @ SV491 ) ) @ ( labeled_edges_b_nat @ SV554 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2819]) ).
thf(2898,plain,
! [SV555: produc1478835367term_b,SV492: produc1478835367term_b] :
( ( ( ~ ~ ( ( ( produc854192515term_b @ SV492 )
!= ( produc854192515term_b @ SV555 ) )
| ( ( produc1223098053term_b @ SV492 )
!= ( produc1223098053term_b @ SV555 ) ) ) )
= $true )
| ( ( SV492 = SV555 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2820]) ).
thf(2899,plain,
! [SV588: allegorical_term_b,SV556: allegorical_term_b,SV493: allegorical_term_b] :
( ( ! [SY877: allegorical_term_b] :
( ( ( allegorical_A_Int_b @ SV493 @ SV556 )
= ( allegorical_A_Int_b @ SV588 @ SY877 ) )
= ( ~ ( ( SV493 != SV588 )
| ( SV556 != SY877 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2821]) ).
thf(2900,plain,
! [SV557: set_Pr9961929at_nat,SV494: set_Pr9961929at_nat] :
( ( ( ~ ( ord_le910748009at_nat @ SV494 @ SV557 ) )
= $true )
| ( ( ~ ( finite1987068434at_nat @ SV557 )
| ( finite1987068434at_nat @ SV494 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2822]) ).
thf(2901,plain,
! [SV558: nat,SV495: nat > labeled_graph_b_nat] :
( ( ( ~ ( chain_b_nat @ SV495 ) )
= $true )
| ( ( ( SV495 @ SV558 )
= ( restrict_b_nat @ ( SV495 @ SV558 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2823]) ).
thf(2902,plain,
! [SV589: allegorical_term_b,SV559: allegorical_term_b,SV496: allegorical_term_b] :
( ( ! [SY878: allegorical_term_b] :
( ( ( produc1990145943term_b @ SV496 @ SV559 )
= ( produc1990145943term_b @ SV589 @ SY878 ) )
= ( ~ ( ( SV496 != SV589 )
| ( SV559 != SY878 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2824]) ).
thf(2903,plain,
! [SV590: allegorical_term_b,SV560: allegorical_term_b,SV497: produc1478835367term_b] :
( ( ( SV497
!= ( produc1990145943term_b @ SV560 @ SV590 ) )
| ( ( produc1223098053term_b @ SV497 )
= SV590 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2825]) ).
thf(2904,plain,
! [SV561: produc1478835367term_b,SV498: produc1478835367term_b > $o] :
( ( ( ~ ! [SY794: allegorical_term_b,SY795: allegorical_term_b] : ( SV498 @ ( produc1990145943term_b @ SY794 @ SY795 ) ) )
= $true )
| ( ( SV498 @ SV561 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2826]) ).
thf(2905,plain,
! [SV409: labeled_graph_b_nat] :
( ( ( ( graph_529870330at_nat @ SV409 @ SV409 @ ( id_on_nat @ ( labele460410879_b_nat @ SV409 ) ) )
| ( SV409
= ( restrict_b_nat @ SV409 ) ) )
= $false )
| ( ( ~ ( ~ ( graph_529870330at_nat @ SV409 @ SV409 @ ( id_on_nat @ ( labele460410879_b_nat @ SV409 ) ) )
| ( SV409
!= ( restrict_b_nat @ SV409 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2827]) ).
thf(2906,plain,
! [SV410: labeled_graph_b_nat] :
( ( ( ( graph_529870330at_nat @ SV410 @ ( restrict_b_nat @ SV410 ) @ ( id_on_nat @ ( labele460410879_b_nat @ SV410 ) ) )
| ( SV410
= ( restrict_b_nat @ SV410 ) ) )
= $false )
| ( ( ~ ( ~ ( graph_529870330at_nat @ SV410 @ ( restrict_b_nat @ SV410 ) @ ( id_on_nat @ ( labele460410879_b_nat @ SV410 ) ) )
| ( SV410
!= ( restrict_b_nat @ SV410 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2828]) ).
thf(2907,plain,
! [SV506: set_Pr9961929at_nat,SV434: set_Pr9961929at_nat] :
( ( ( ord_le910748009at_nat @ SV434 @ SV506 )
= $false )
| ( ( ~ ~ ( finite1987068434at_nat @ SV434 )
| ~ ( finite1987068434at_nat @ SV506 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2829]) ).
thf(2908,plain,
! [SV591: labeled_graph_b_nat,SV562: labeled_graph_b_nat > $o,SV507: labeled_graph_b_nat,SV435: labeled_graph_b_nat > $o] :
( ( ~ ( SV435 @ SV507 )
| ~ ( SV562 @ SV591 )
| ~ ( ~ ( SV435 @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ SV507 @ SV591 ) ) )
| ~ ( SV562 @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ SV507 @ SV591 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2830]) ).
thf(2909,plain,
! [SV592: produc1235635379_b_nat,SV508: produc1235635379_b_nat] :
( ( ( SV508 = SV592 )
= ( ~ ( ( ( produc1542243159_b_nat @ SV508 )
!= ( produc1542243159_b_nat @ SV592 ) )
| ( ( produc194497945_b_nat @ SV508 )
!= ( produc194497945_b_nat @ SV592 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2831]) ).
thf(2910,plain,
! [SV593: labeled_graph_b_nat,SV564: set_Pr551076371_b_nat,SV509: labeled_graph_b_nat,SV437: labeled_graph_b_nat] :
( ( ~ ( member963855452_b_nat @ ( produc951298923_b_nat @ SV437 @ SV509 ) @ SV564 )
| ( SV593 != SV509 )
| ( member963855452_b_nat @ ( produc951298923_b_nat @ SV437 @ SV593 ) @ SV564 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2833]) ).
thf(2911,plain,
! [SV438: set_nat] :
( ( ( finite_finite_nat @ SV438 )
= $true )
| ( ( SV438 != bot_bot_set_nat )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2834]) ).
thf(2912,plain,
! [SV439: produc1235635379_b_nat] :
( ( ~ ! [SY861: labeled_graph_b_nat] :
( SV439
!= ( produc951298923_b_nat @ ( sK57_SY680 @ SV439 ) @ SY861 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2835]) ).
thf(2913,plain,
! [SV565: labeled_graph_b_nat,SV510: labeled_graph_b_nat,SV440: labeled_graph_b_nat] :
( ( ( ( produc194497945_b_nat @ ( produc951298923_b_nat @ SV440 @ SV510 ) )
!= SV565 )
= $true )
| ( ( SV510 = SV565 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2836]) ).
thf(2914,plain,
! [SV594: labeled_graph_b_nat,SV566: labeled_graph_b_nat,SV511: labeled_graph_b_nat,SV441: labeled_graph_b_nat] :
( ( ( ( produc951298923_b_nat @ SV441 @ SV511 )
!= ( produc951298923_b_nat @ SV566 @ SV594 ) )
| ~ ( ( SV441 != SV566 )
| ( SV511 != SV594 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2837]) ).
thf(2915,plain,
! [SV512: produc1235635379_b_nat,SV442: labeled_graph_b_nat] :
( ( ( ~ ( ( SV442
= ( produc1542243159_b_nat @ SV512 ) )
| ~ ! [SY805: labeled_graph_b_nat] :
( SV512
!= ( produc951298923_b_nat @ SV442 @ SY805 ) ) ) )
= $true )
| ( ( ~ ( ( SV442
!= ( produc1542243159_b_nat @ SV512 ) )
| ~ ~ ! [SY805: labeled_graph_b_nat] :
( SV512
!= ( produc951298923_b_nat @ SV442 @ SY805 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2838]) ).
thf(2916,plain,
! [SV513: labeled_graph_b_nat,SV443: labeled_graph_b_nat] :
( ( ( graph_529870330at_nat @ SV443 @ SV513 @ ( id_on_nat @ ( labele460410879_b_nat @ SV443 ) ) )
= $false )
| ( ( ord_less_eq_set_nat @ ( labele460410879_b_nat @ SV443 ) @ ( labele460410879_b_nat @ SV513 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2840]) ).
thf(2917,plain,
! [SV514: produc1478835367term_b,SV444: produc1478835367term_b > $o] :
( ( ( ! [SY691: allegorical_term_b,SY692: allegorical_term_b] : ( SV444 @ ( produc1990145943term_b @ SY691 @ SY692 ) ) )
= $false )
| ( ( SV444 @ SV514 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2841]) ).
thf(2918,plain,
! [SV595: labeled_graph_b_nat,SV567: set_Pr1986765409at_nat,SV515: labeled_graph_b_nat,SV445: labeled_graph_b_nat] :
( ( ! [SY879: set_Pr1986765409at_nat] :
( ~ ( graph_529870330at_nat @ SV445 @ SV515 @ SV567 )
| ~ ( graph_529870330at_nat @ SV515 @ SV595 @ SY879 )
| ( graph_529870330at_nat @ SV445 @ SV595 @ ( relcomp_nat_nat_nat @ SV567 @ SY879 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2842]) ).
thf(2919,plain,
! [SV516: labeled_graph_b_nat,SV446: labeled_graph_b_nat] :
( ( ( ~ ( ( ( labeled_edges_b_nat @ SV446 )
!= ( labeled_edges_b_nat @ SV516 ) )
| ( ( labele460410879_b_nat @ SV446 )
!= ( labele460410879_b_nat @ SV516 ) ) ) )
= $false )
| ( ( SV446 = SV516 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2843]) ).
thf(2920,plain,
! [SV517: set_nat,SV447: set_nat] :
( ( ( finite_finite_nat @ SV447 )
= $false )
| ( ( ~ ( ord_less_eq_set_nat @ SV517 @ SV447 )
| ( finite_finite_nat @ SV517 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2844]) ).
thf(2921,plain,
! [SV518: produc1478835367term_b,SV448: allegorical_term_b] :
( ( ( ~ ( ( SV448
= ( produc854192515term_b @ SV518 ) )
| ~ ! [SY811: allegorical_term_b] :
( SV518
!= ( produc1990145943term_b @ SV448 @ SY811 ) ) ) )
= $true )
| ( ( ~ ( ( SV448
!= ( produc854192515term_b @ SV518 ) )
| ~ ~ ! [SY811: allegorical_term_b] :
( SV518
!= ( produc1990145943term_b @ SV448 @ SY811 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2845]) ).
thf(2922,plain,
! [SV519: produc1235635379_b_nat,SV449: labeled_graph_b_nat > labeled_graph_b_nat > $o] :
( ( ( SV449 @ ( produc194497945_b_nat @ SV519 ) @ ( produc1542243159_b_nat @ SV519 ) )
= $false )
| ( ( ~ ! [SY702: labeled_graph_b_nat,SY703: labeled_graph_b_nat] :
~ ( SV449 @ SY703 @ SY702 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2847]) ).
thf(2923,plain,
! [SV596: allegorical_term_b,SV568: allegorical_term_b,SV520: allegorical_term_b,SV451: allegorical_term_b] :
( ( ( ( produc1990145943term_b @ SV451 @ SV520 )
!= ( produc1990145943term_b @ SV568 @ SV596 ) )
| ~ ( ( SV451 != SV568 )
| ( SV520 != SV596 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2849]) ).
thf(2924,plain,
! [SV597: produc1478835367term_b,SV569: allegorical_term_b,SV521: allegorical_term_b,SV452: allegorical_term_b > allegorical_term_b > $o] :
( ( ~ ( SV452 @ SV521 @ SV569 )
| ( SV597
!= ( produc1990145943term_b @ SV521 @ SV569 ) )
| ( SV452 @ ( produc854192515term_b @ SV597 ) @ ( produc1223098053term_b @ SV597 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2850]) ).
thf(2925,plain,
! [SV598: labeled_graph_b_nat,SV570: labeled_graph_b_nat,SV522: labeled_graph_b_nat,SV453: labeled_graph_b_nat] :
( ( ( ( produc951298923_b_nat @ SV453 @ SV522 )
= ( produc951298923_b_nat @ SV570 @ SV598 ) )
= ( ~ ( ( SV453 != SV570 )
| ( SV522 != SV598 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2851]) ).
thf(2926,plain,
! [SV599: allegorical_term_b,SV571: set_Pr1163220871term_b,SV523: allegorical_term_b,SV454: allegorical_term_b] :
( ( ~ ( member516522448term_b @ ( produc1990145943term_b @ SV454 @ SV523 ) @ SV571 )
| ( SV599 != SV523 )
| ( member516522448term_b @ ( produc1990145943term_b @ SV454 @ SV599 ) @ SV571 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2852]) ).
thf(2927,plain,
! [SV524: labeled_graph_b_nat,SV455: labeled_graph_b_nat] :
( ( ( ~ ( ( graph_529870330at_nat @ SV455 @ SV524 @ ( id_on_nat @ ( labele460410879_b_nat @ SV455 ) ) )
| ~ ( ~ ~ ( ( SV455
!= ( restrict_b_nat @ SV455 ) )
| ( SV524
!= ( restrict_b_nat @ SV524 ) ) )
| ( ( graph_union_b_nat @ SV455 @ SV524 )
!= SV524 ) ) ) )
= $true )
| ( ( ~ ( ~ ( graph_529870330at_nat @ SV455 @ SV524 @ ( id_on_nat @ ( labele460410879_b_nat @ SV455 ) ) )
| ~ ~ ( ~ ~ ( ( SV455
!= ( restrict_b_nat @ SV455 ) )
| ( SV524
!= ( restrict_b_nat @ SV524 ) ) )
| ( ( graph_union_b_nat @ SV455 @ SV524 )
!= SV524 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2853]) ).
thf(2928,plain,
! [SV525: set_Pr9961929at_nat,SV456: set_Pr9961929at_nat] :
( ( ( finite1987068434at_nat @ SV456 )
= $false )
| ( ( ~ ( ord_le910748009at_nat @ SV525 @ SV456 )
| ( finite1987068434at_nat @ SV525 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2855]) ).
thf(2929,plain,
! [SV526: labeled_graph_b_nat,SV457: labeled_graph_b_nat] :
( ( ( SV457
= ( restrict_b_nat @ SV457 ) )
= $false )
| ( ( ( SV526
!= ( restrict_b_nat @ SV526 ) )
| ( ( graph_union_b_nat @ SV457 @ SV526 )
= ( restrict_b_nat @ ( graph_union_b_nat @ SV457 @ SV526 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2856]) ).
thf(2930,plain,
! [SV527: set_nat,SV458: set_nat] :
( ( ( ord_less_eq_set_nat @ SV458 @ SV527 )
= $false )
| ( ( ~ ~ ( finite_finite_nat @ SV458 )
| ~ ( finite_finite_nat @ SV527 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2857]) ).
thf(2931,plain,
! [SV459: produc1478835367term_b] :
( ( SV459
!= ( produc1990145943term_b @ ( sK58_SY720 @ SV459 ) @ ( sK61_SY869 @ SV459 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[2858]) ).
thf(2932,plain,
! [SV460: b] :
( ( ~ ( ~ ~ ( ~ ( graph_529870330at_nat @ ( produc1542243159_b_nat @ ( standa1360217389rule_b @ SV460 ) ) @ ( produc194497945_b_nat @ ( standa1360217389rule_b @ SV460 ) ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ ( standa1360217389rule_b @ SV460 ) ) ) ) )
| ( ( produc194497945_b_nat @ ( standa1360217389rule_b @ SV460 ) )
!= ( restrict_b_nat @ ( produc194497945_b_nat @ ( standa1360217389rule_b @ SV460 ) ) ) ) )
| ~ ( finite_finite_nat @ ( labele460410879_b_nat @ ( produc194497945_b_nat @ ( standa1360217389rule_b @ SV460 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2859]) ).
thf(2933,plain,
! [SV460: b] :
( ( finite1987068434at_nat @ ( labeled_edges_b_nat @ ( produc194497945_b_nat @ ( standa1360217389rule_b @ SV460 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2860]) ).
thf(2934,plain,
! [SV572: allegorical_term_b,SV528: allegorical_term_b,SV461: allegorical_term_b > allegorical_term_b > $o] :
( ( ( ~ ( SV461 @ SV528 @ SV572 ) )
= $true )
| ( ( SV461 @ ( produc1223098053term_b @ ( produc1990145943term_b @ SV572 @ SV528 ) ) @ ( produc854192515term_b @ ( produc1990145943term_b @ SV572 @ SV528 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2861]) ).
thf(2935,plain,
! [SV529: produc1235635379_b_nat,SV462: labeled_graph_b_nat] :
( ( ( ~ ( ( SV462
= ( produc194497945_b_nat @ SV529 ) )
| ~ ! [SY823: labeled_graph_b_nat] :
( SV529
!= ( produc951298923_b_nat @ SY823 @ SV462 ) ) ) )
= $true )
| ( ( ~ ( ( SV462
!= ( produc194497945_b_nat @ SV529 ) )
| ~ ~ ! [SY823: labeled_graph_b_nat] :
( SV529
!= ( produc951298923_b_nat @ SY823 @ SV462 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2862]) ).
thf(2936,plain,
! [SV530: set_nat,SV463: set_nat] :
( ( ( ord_less_eq_set_nat @ SV463 @ SV530 )
= $false )
| ( ( ~ ( finite_finite_nat @ SV530 )
| ( finite_finite_nat @ SV463 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2864]) ).
thf(2937,plain,
! [SV573: labeled_graph_b_nat,SV531: labeled_graph_b_nat,SV464: labeled_graph_b_nat] :
( ( ( ~ ( graph_529870330at_nat @ SV464 @ SV531 @ ( id_on_nat @ ( labele460410879_b_nat @ SV464 ) ) ) )
= $true )
| ( ( ~ ( graph_529870330at_nat @ SV531 @ SV573 @ ( id_on_nat @ ( labele460410879_b_nat @ SV531 ) ) )
| ( graph_529870330at_nat @ SV464 @ SV573 @ ( id_on_nat @ ( labele460410879_b_nat @ SV464 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2865]) ).
thf(2938,plain,
! [SV532: allegorical_term_b,SV465: allegorical_term_b] :
( ( ~ ~ ( ~ ~ ( ~ ( graph_529870330at_nat @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV465 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV465 @ SV532 ) ) ) ) @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV465 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV465 @ SV532 ) ) ) ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV465 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV465 @ SV532 ) ) ) ) ) ) )
| ( ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV465 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV465 @ SV532 ) ) ) )
!= ( restrict_b_nat @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV465 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV465 @ SV532 ) ) ) ) ) ) )
| ~ ( finite_finite_nat @ ( labele460410879_b_nat @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV465 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV465 @ SV532 ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2866]) ).
thf(2939,plain,
! [SV532: allegorical_term_b,SV465: allegorical_term_b] :
( ( ~ ( finite1987068434at_nat @ ( labeled_edges_b_nat @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV465 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV465 @ SV532 ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2866]) ).
thf(2940,plain,
! [SV600: produc1478835367term_b,SV533: produc1478835367term_b] :
( ( ( SV533 = SV600 )
= ( ~ ( ( ( produc854192515term_b @ SV533 )
!= ( produc854192515term_b @ SV600 ) )
| ( ( produc1223098053term_b @ SV533 )
!= ( produc1223098053term_b @ SV600 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2867]) ).
thf(2941,plain,
! [SV575: labeled_graph_b_nat,SV534: labeled_graph_b_nat,SV467: produc1235635379_b_nat] :
( ( ( SV467
!= ( produc951298923_b_nat @ SV534 @ SV575 ) )
= $true )
| ( ( ( produc194497945_b_nat @ SV467 )
= SV575 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2869]) ).
thf(2942,plain,
! [SV468: produc1478835367term_b] :
( ( ~ ! [SY870: allegorical_term_b] :
( SV468
!= ( produc1990145943term_b @ ( sK59_SY734 @ SV468 ) @ SY870 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2870]) ).
thf(2943,plain,
! [SV601: allegorical_term_b,SV576: allegorical_term_b,SV535: allegorical_term_b,SV469: allegorical_term_b] :
( ( ( ( produc1990145943term_b @ SV469 @ SV535 )
= ( produc1990145943term_b @ SV576 @ SV601 ) )
= ( ~ ( ( SV469 != SV576 )
| ( SV535 != SV601 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2871]) ).
thf(2944,plain,
! [SV536: produc1478835367term_b,SV470: allegorical_term_b] :
( ( ( ~ ( ( SV470
= ( produc1223098053term_b @ SV536 ) )
| ~ ! [SY830: allegorical_term_b] :
( SV536
!= ( produc1990145943term_b @ SY830 @ SV470 ) ) ) )
= $true )
| ( ( ~ ( ( SV470
!= ( produc1223098053term_b @ SV536 ) )
| ~ ~ ! [SY830: allegorical_term_b] :
( SV536
!= ( produc1990145943term_b @ SY830 @ SV470 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2872]) ).
thf(2945,plain,
! [SV537: produc1235635379_b_nat,SV471: produc1235635379_b_nat > $o] :
( ( ( ! [SY742: labeled_graph_b_nat,SY743: labeled_graph_b_nat] : ( SV471 @ ( produc951298923_b_nat @ SY742 @ SY743 ) ) )
= $false )
| ( ( SV471 @ SV537 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2874]) ).
thf(2946,plain,
! [SV577: allegorical_term_b,SV538: allegorical_term_b,SV472: produc1478835367term_b] :
( ( ( SV472
!= ( produc1990145943term_b @ SV538 @ SV577 ) )
= $true )
| ( ( ( produc854192515term_b @ SV472 )
= SV538 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2875]) ).
thf(2947,plain,
! [SV539: produc1235635379_b_nat,SV473: produc1235635379_b_nat] :
( ( ( ~ ( ( ( produc1542243159_b_nat @ SV473 )
!= ( produc1542243159_b_nat @ SV539 ) )
| ( ( produc194497945_b_nat @ SV473 )
!= ( produc194497945_b_nat @ SV539 ) ) ) )
= $false )
| ( ( SV473 = SV539 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2876]) ).
thf(2948,plain,
! [SV578: allegorical_term_b,SV540: allegorical_term_b,SV474: allegorical_term_b] :
( ( ( ( produc854192515term_b @ ( produc1990145943term_b @ SV474 @ SV540 ) )
!= SV578 )
= $true )
| ( ( SV474 = SV578 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2877]) ).
thf(2949,plain,
! [SV602: labeled_graph_b_nat,SV579: labeled_graph_b_nat,SV541: labeled_graph_b_nat,SV475: labeled_graph_b_nat] :
( ( ( ( produc951298923_b_nat @ SV475 @ SV541 )
= ( produc951298923_b_nat @ SV579 @ SV602 ) )
= ( ~ ( ( SV475 != SV579 )
| ( SV541 != SV602 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2878]) ).
thf(2950,plain,
! [SV603: allegorical_term_b,SV580: allegorical_term_b > $o,SV542: allegorical_term_b,SV476: allegorical_term_b > $o] :
( ( ~ ( SV476 @ SV542 )
| ~ ( SV580 @ SV603 )
| ~ ( ~ ( SV476 @ ( produc854192515term_b @ ( produc1990145943term_b @ SV542 @ SV603 ) ) )
| ~ ( SV580 @ ( produc1223098053term_b @ ( produc1990145943term_b @ SV542 @ SV603 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2879]) ).
thf(2951,plain,
! [SV604: produc1235635379_b_nat,SV581: labeled_graph_b_nat,SV543: labeled_graph_b_nat,SV477: labeled_graph_b_nat > labeled_graph_b_nat > $o] :
( ( ~ ( SV477 @ SV543 @ SV581 )
| ( SV604
!= ( produc951298923_b_nat @ SV543 @ SV581 ) )
| ( SV477 @ ( produc1542243159_b_nat @ SV604 ) @ ( produc194497945_b_nat @ SV604 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2880]) ).
thf(2952,plain,
! [SV582: labeled_graph_b_nat,SV544: labeled_graph_b_nat,SV478: labeled_graph_b_nat] :
( ( ( ( produc1542243159_b_nat @ ( produc951298923_b_nat @ SV478 @ SV544 ) )
!= SV582 )
= $true )
| ( ( SV478 = SV582 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2881]) ).
thf(2953,plain,
( ( ~ ~ ( ~ ( graph_529870330at_nat @ ( produc1542243159_b_nat @ standa879863266rule_b ) @ ( produc194497945_b_nat @ standa879863266rule_b ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ standa879863266rule_b ) ) ) )
| ( ( produc194497945_b_nat @ standa879863266rule_b )
!= ( restrict_b_nat @ ( produc194497945_b_nat @ standa879863266rule_b ) ) ) )
| ~ ( finite_finite_nat @ ( labele460410879_b_nat @ ( produc194497945_b_nat @ standa879863266rule_b ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2882]) ).
thf(2954,plain,
! [SV545: produc1478835367term_b,SV479: produc1478835367term_b] :
( ( ( ( produc854192515term_b @ SV479 )
= ( produc854192515term_b @ SV545 ) )
= $false )
| ( ( ( ( produc1223098053term_b @ SV479 )
!= ( produc1223098053term_b @ SV545 ) )
| ( SV479 = SV545 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2884]) ).
thf(2955,plain,
! [SV583: allegorical_term_b,SV546: allegorical_term_b,SV480: allegorical_term_b] :
( ( ( ( produc1223098053term_b @ ( produc1990145943term_b @ SV480 @ SV546 ) )
!= SV583 )
= $true )
| ( ( SV546 = SV583 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2885]) ).
thf(2956,plain,
! [SV547: produc1235635379_b_nat,SV481: produc1235635379_b_nat] :
( ( ( ( produc1542243159_b_nat @ SV481 )
= ( produc1542243159_b_nat @ SV547 ) )
= $false )
| ( ( ( ( produc194497945_b_nat @ SV481 )
!= ( produc194497945_b_nat @ SV547 ) )
| ( SV481 = SV547 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2886]) ).
thf(2957,plain,
! [SV548: produc1478835367term_b,SV482: allegorical_term_b > allegorical_term_b > $o] :
( ( ( SV482 @ ( produc1223098053term_b @ SV548 ) @ ( produc854192515term_b @ SV548 ) )
= $false )
| ( ( ~ ! [SY765: allegorical_term_b,SY766: allegorical_term_b] :
~ ( SV482 @ SY766 @ SY765 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2887]) ).
thf(2958,plain,
! [SV483: b] :
( ( ~ ( ~ ~ ( ~ ( graph_529870330at_nat @ ( produc1542243159_b_nat @ ( standa1329480013rule_b @ SV483 ) ) @ ( produc194497945_b_nat @ ( standa1329480013rule_b @ SV483 ) ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ ( standa1329480013rule_b @ SV483 ) ) ) ) )
| ( ( produc194497945_b_nat @ ( standa1329480013rule_b @ SV483 ) )
!= ( restrict_b_nat @ ( produc194497945_b_nat @ ( standa1329480013rule_b @ SV483 ) ) ) ) )
| ~ ( finite_finite_nat @ ( labele460410879_b_nat @ ( produc194497945_b_nat @ ( standa1329480013rule_b @ SV483 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2888]) ).
thf(2959,plain,
! [SV483: b] :
( ( finite1987068434at_nat @ ( labeled_edges_b_nat @ ( produc194497945_b_nat @ ( standa1329480013rule_b @ SV483 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2889]) ).
thf(2960,plain,
! [SV605: set_Pr1986765409at_nat,SV584: labeled_graph_b_nat,SV549: labeled_graph_b_nat,SV484: labeled_graph_b_nat] :
( ( ~ ( graph_529870330at_nat @ SV484 @ SV549 @ ( id_on_nat @ ( labele460410879_b_nat @ SV484 ) ) )
| ~ ( graph_529870330at_nat @ SV584 @ SV484 @ SV605 )
| ( graph_529870330at_nat @ SV584 @ SV549 @ SV605 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2890]) ).
thf(2961,plain,
! [SV485: set_Pr9961929at_nat] :
( ( ( finite1987068434at_nat @ SV485 )
= $true )
| ( ( SV485 != bot_bo1626616373at_nat )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2891]) ).
thf(2962,plain,
! [SV585: set_Pr1986765409at_nat,SV550: labeled_graph_b_nat,SV486: labeled_graph_b_nat] :
( ( ( ~ ( graph_529870330at_nat @ SV486 @ SV550 @ SV585 ) )
= $true )
| ( ( extensible_b_nat_nat @ ( produc951298923_b_nat @ SV486 @ SV486 ) @ SV550 @ SV585 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2892]) ).
thf(2963,plain,
! [SV586: labeled_graph_b_nat,SV551: labeled_graph_b_nat,SV487: produc1235635379_b_nat] :
( ( ( SV487
!= ( produc951298923_b_nat @ SV551 @ SV586 ) )
= $true )
| ( ( ( produc1542243159_b_nat @ SV487 )
= SV551 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2893]) ).
thf(2964,plain,
! [SV552: produc1235635379_b_nat,SV488: produc1235635379_b_nat > $o] :
( ( ( ! [SY775: labeled_graph_b_nat,SY776: labeled_graph_b_nat] : ( SV488 @ ( produc951298923_b_nat @ SY775 @ SY776 ) ) )
= $false )
| ( ( SV488 @ SV552 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2894]) ).
thf(2965,plain,
! [SV489: produc1235635379_b_nat] :
( ( SV489
!= ( produc951298923_b_nat @ ( sK60_SY777 @ SV489 ) @ ( sK62_SY876 @ SV489 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[2895]) ).
thf(2966,plain,
! [SV587: labeled_graph_b_nat,SV553: labeled_graph_b_nat,SV490: labeled_graph_b_nat > labeled_graph_b_nat > $o] :
( ( ( ~ ( SV490 @ SV553 @ SV587 ) )
= $true )
| ( ( SV490 @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ SV587 @ SV553 ) ) @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ SV587 @ SV553 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2896]) ).
thf(2967,plain,
! [SV554: labeled_graph_b_nat,SV491: labeled_graph_b_nat] :
( ( ( graph_529870330at_nat @ SV491 @ SV554 @ ( id_on_nat @ ( labele460410879_b_nat @ SV491 ) ) )
= $false )
| ( ( ord_le910748009at_nat @ ( labeled_edges_b_nat @ ( restrict_b_nat @ SV491 ) ) @ ( labeled_edges_b_nat @ SV554 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2897]) ).
thf(2968,plain,
! [SV555: produc1478835367term_b,SV492: produc1478835367term_b] :
( ( ( ~ ( ( ( produc854192515term_b @ SV492 )
!= ( produc854192515term_b @ SV555 ) )
| ( ( produc1223098053term_b @ SV492 )
!= ( produc1223098053term_b @ SV555 ) ) ) )
= $false )
| ( ( SV492 = SV555 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2898]) ).
thf(2969,plain,
! [SV606: allegorical_term_b,SV588: allegorical_term_b,SV556: allegorical_term_b,SV493: allegorical_term_b] :
( ( ( ( allegorical_A_Int_b @ SV493 @ SV556 )
= ( allegorical_A_Int_b @ SV588 @ SV606 ) )
= ( ~ ( ( SV493 != SV588 )
| ( SV556 != SV606 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2899]) ).
thf(2970,plain,
! [SV557: set_Pr9961929at_nat,SV494: set_Pr9961929at_nat] :
( ( ( ord_le910748009at_nat @ SV494 @ SV557 )
= $false )
| ( ( ~ ( finite1987068434at_nat @ SV557 )
| ( finite1987068434at_nat @ SV494 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2900]) ).
thf(2971,plain,
! [SV558: nat,SV495: nat > labeled_graph_b_nat] :
( ( ( chain_b_nat @ SV495 )
= $false )
| ( ( ( SV495 @ SV558 )
= ( restrict_b_nat @ ( SV495 @ SV558 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2901]) ).
thf(2972,plain,
! [SV607: allegorical_term_b,SV589: allegorical_term_b,SV559: allegorical_term_b,SV496: allegorical_term_b] :
( ( ( ( produc1990145943term_b @ SV496 @ SV559 )
= ( produc1990145943term_b @ SV589 @ SV607 ) )
= ( ~ ( ( SV496 != SV589 )
| ( SV559 != SV607 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2902]) ).
thf(2973,plain,
! [SV590: allegorical_term_b,SV560: allegorical_term_b,SV497: produc1478835367term_b] :
( ( ( SV497
!= ( produc1990145943term_b @ SV560 @ SV590 ) )
= $true )
| ( ( ( produc1223098053term_b @ SV497 )
= SV590 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2903]) ).
thf(2974,plain,
! [SV561: produc1478835367term_b,SV498: produc1478835367term_b > $o] :
( ( ( ! [SY794: allegorical_term_b,SY795: allegorical_term_b] : ( SV498 @ ( produc1990145943term_b @ SY794 @ SY795 ) ) )
= $false )
| ( ( SV498 @ SV561 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2904]) ).
thf(2975,plain,
! [SV409: labeled_graph_b_nat] :
( ( ( graph_529870330at_nat @ SV409 @ SV409 @ ( id_on_nat @ ( labele460410879_b_nat @ SV409 ) ) )
= $false )
| ( ( ~ ( ~ ( graph_529870330at_nat @ SV409 @ SV409 @ ( id_on_nat @ ( labele460410879_b_nat @ SV409 ) ) )
| ( SV409
!= ( restrict_b_nat @ SV409 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2905]) ).
thf(2976,plain,
! [SV409: labeled_graph_b_nat] :
( ( ( SV409
= ( restrict_b_nat @ SV409 ) )
= $false )
| ( ( ~ ( ~ ( graph_529870330at_nat @ SV409 @ SV409 @ ( id_on_nat @ ( labele460410879_b_nat @ SV409 ) ) )
| ( SV409
!= ( restrict_b_nat @ SV409 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2905]) ).
thf(2977,plain,
! [SV410: labeled_graph_b_nat] :
( ( ( graph_529870330at_nat @ SV410 @ ( restrict_b_nat @ SV410 ) @ ( id_on_nat @ ( labele460410879_b_nat @ SV410 ) ) )
= $false )
| ( ( ~ ( ~ ( graph_529870330at_nat @ SV410 @ ( restrict_b_nat @ SV410 ) @ ( id_on_nat @ ( labele460410879_b_nat @ SV410 ) ) )
| ( SV410
!= ( restrict_b_nat @ SV410 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2906]) ).
thf(2978,plain,
! [SV410: labeled_graph_b_nat] :
( ( ( SV410
= ( restrict_b_nat @ SV410 ) )
= $false )
| ( ( ~ ( ~ ( graph_529870330at_nat @ SV410 @ ( restrict_b_nat @ SV410 ) @ ( id_on_nat @ ( labele460410879_b_nat @ SV410 ) ) )
| ( SV410
!= ( restrict_b_nat @ SV410 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2906]) ).
thf(2979,plain,
! [SV506: set_Pr9961929at_nat,SV434: set_Pr9961929at_nat] :
( ( ( ~ ~ ( finite1987068434at_nat @ SV434 ) )
= $true )
| ( ( ~ ( finite1987068434at_nat @ SV506 ) )
= $true )
| ( ( ord_le910748009at_nat @ SV434 @ SV506 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2907]) ).
thf(2980,plain,
! [SV591: labeled_graph_b_nat,SV562: labeled_graph_b_nat > $o,SV507: labeled_graph_b_nat,SV435: labeled_graph_b_nat > $o] :
( ( ( ~ ( SV435 @ SV507 ) )
= $true )
| ( ( ~ ( SV562 @ SV591 )
| ~ ( ~ ( SV435 @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ SV507 @ SV591 ) ) )
| ~ ( SV562 @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ SV507 @ SV591 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2908]) ).
thf(2981,plain,
! [SV592: produc1235635379_b_nat,SV508: produc1235635379_b_nat] :
( ( ~ ( ( SV508 = SV592 )
| ~ ( ( ( produc1542243159_b_nat @ SV508 )
!= ( produc1542243159_b_nat @ SV592 ) )
| ( ( produc194497945_b_nat @ SV508 )
!= ( produc194497945_b_nat @ SV592 ) ) ) )
| ~ ( ( SV508 != SV592 )
| ~ ~ ( ( ( produc1542243159_b_nat @ SV508 )
!= ( produc1542243159_b_nat @ SV592 ) )
| ( ( produc194497945_b_nat @ SV508 )
!= ( produc194497945_b_nat @ SV592 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[2909]) ).
thf(2982,plain,
! [SV592: produc1235635379_b_nat,SV508: produc1235635379_b_nat] :
( ( ( SV508 = SV592 )
= ( ~ ( ( ( produc1542243159_b_nat @ SV508 )
!= ( produc1542243159_b_nat @ SV592 ) )
| ( ( produc194497945_b_nat @ SV508 )
!= ( produc194497945_b_nat @ SV592 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[2909]) ).
thf(2983,plain,
! [SV593: labeled_graph_b_nat,SV564: set_Pr551076371_b_nat,SV509: labeled_graph_b_nat,SV437: labeled_graph_b_nat] :
( ( ( ~ ( member963855452_b_nat @ ( produc951298923_b_nat @ SV437 @ SV509 ) @ SV564 ) )
= $true )
| ( ( ( SV593 != SV509 )
| ( member963855452_b_nat @ ( produc951298923_b_nat @ SV437 @ SV593 ) @ SV564 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2910]) ).
thf(2984,plain,
! [SV438: set_nat] :
( ( ( SV438 = bot_bot_set_nat )
= $false )
| ( ( finite_finite_nat @ SV438 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2911]) ).
thf(2985,plain,
! [SV439: produc1235635379_b_nat] :
( ( ! [SY861: labeled_graph_b_nat] :
( SV439
!= ( produc951298923_b_nat @ ( sK57_SY680 @ SV439 ) @ SY861 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2912]) ).
thf(2986,plain,
! [SV565: labeled_graph_b_nat,SV510: labeled_graph_b_nat,SV440: labeled_graph_b_nat] :
( ( ( ( produc194497945_b_nat @ ( produc951298923_b_nat @ SV440 @ SV510 ) )
= SV565 )
= $false )
| ( ( SV510 = SV565 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2913]) ).
thf(2987,plain,
! [SV594: labeled_graph_b_nat,SV566: labeled_graph_b_nat,SV511: labeled_graph_b_nat,SV441: labeled_graph_b_nat] :
( ( ( ( produc951298923_b_nat @ SV441 @ SV511 )
!= ( produc951298923_b_nat @ SV566 @ SV594 ) )
= $true )
| ( ( ~ ( ( SV441 != SV566 )
| ( SV511 != SV594 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2914]) ).
thf(2988,plain,
! [SV512: produc1235635379_b_nat,SV442: labeled_graph_b_nat] :
( ( ( ( SV442
= ( produc1542243159_b_nat @ SV512 ) )
| ~ ! [SY805: labeled_graph_b_nat] :
( SV512
!= ( produc951298923_b_nat @ SV442 @ SY805 ) ) )
= $false )
| ( ( ~ ( ( SV442
!= ( produc1542243159_b_nat @ SV512 ) )
| ~ ~ ! [SY805: labeled_graph_b_nat] :
( SV512
!= ( produc951298923_b_nat @ SV442 @ SY805 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2915]) ).
thf(2989,plain,
! [SV514: produc1478835367term_b,SV444: produc1478835367term_b > $o] :
( ( ( ! [SY880: allegorical_term_b] : ( SV444 @ ( produc1990145943term_b @ ( sK63_SY691 @ SV514 @ SV444 ) @ SY880 ) ) )
= $false )
| ( ( SV444 @ SV514 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2917]) ).
thf(2990,plain,
! [SV608: set_Pr1986765409at_nat,SV595: labeled_graph_b_nat,SV567: set_Pr1986765409at_nat,SV515: labeled_graph_b_nat,SV445: labeled_graph_b_nat] :
( ( ~ ( graph_529870330at_nat @ SV445 @ SV515 @ SV567 )
| ~ ( graph_529870330at_nat @ SV515 @ SV595 @ SV608 )
| ( graph_529870330at_nat @ SV445 @ SV595 @ ( relcomp_nat_nat_nat @ SV567 @ SV608 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2918]) ).
thf(2991,plain,
! [SV516: labeled_graph_b_nat,SV446: labeled_graph_b_nat] :
( ( ( ( ( labeled_edges_b_nat @ SV446 )
!= ( labeled_edges_b_nat @ SV516 ) )
| ( ( labele460410879_b_nat @ SV446 )
!= ( labele460410879_b_nat @ SV516 ) ) )
= $true )
| ( ( SV446 = SV516 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2919]) ).
thf(2992,plain,
! [SV447: set_nat,SV517: set_nat] :
( ( ( ~ ( ord_less_eq_set_nat @ SV517 @ SV447 ) )
= $true )
| ( ( finite_finite_nat @ SV517 )
= $true )
| ( ( finite_finite_nat @ SV447 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2920]) ).
thf(2993,plain,
! [SV518: produc1478835367term_b,SV448: allegorical_term_b] :
( ( ( ( SV448
= ( produc854192515term_b @ SV518 ) )
| ~ ! [SY811: allegorical_term_b] :
( SV518
!= ( produc1990145943term_b @ SV448 @ SY811 ) ) )
= $false )
| ( ( ~ ( ( SV448
!= ( produc854192515term_b @ SV518 ) )
| ~ ~ ! [SY811: allegorical_term_b] :
( SV518
!= ( produc1990145943term_b @ SV448 @ SY811 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2921]) ).
thf(2994,plain,
! [SV519: produc1235635379_b_nat,SV449: labeled_graph_b_nat > labeled_graph_b_nat > $o] :
( ( ( ! [SY702: labeled_graph_b_nat,SY703: labeled_graph_b_nat] :
~ ( SV449 @ SY703 @ SY702 ) )
= $false )
| ( ( SV449 @ ( produc194497945_b_nat @ SV519 ) @ ( produc1542243159_b_nat @ SV519 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2922]) ).
thf(2995,plain,
! [SV596: allegorical_term_b,SV568: allegorical_term_b,SV520: allegorical_term_b,SV451: allegorical_term_b] :
( ( ( ( produc1990145943term_b @ SV451 @ SV520 )
!= ( produc1990145943term_b @ SV568 @ SV596 ) )
= $true )
| ( ( ~ ( ( SV451 != SV568 )
| ( SV520 != SV596 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2923]) ).
thf(2996,plain,
! [SV597: produc1478835367term_b,SV569: allegorical_term_b,SV521: allegorical_term_b,SV452: allegorical_term_b > allegorical_term_b > $o] :
( ( ( ~ ( SV452 @ SV521 @ SV569 ) )
= $true )
| ( ( ( SV597
!= ( produc1990145943term_b @ SV521 @ SV569 ) )
| ( SV452 @ ( produc854192515term_b @ SV597 ) @ ( produc1223098053term_b @ SV597 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2924]) ).
thf(2997,plain,
! [SV598: labeled_graph_b_nat,SV570: labeled_graph_b_nat,SV522: labeled_graph_b_nat,SV453: labeled_graph_b_nat] :
( ( ~ ( ( ( produc951298923_b_nat @ SV453 @ SV522 )
= ( produc951298923_b_nat @ SV570 @ SV598 ) )
| ~ ( ( SV453 != SV570 )
| ( SV522 != SV598 ) ) )
| ~ ( ( ( produc951298923_b_nat @ SV453 @ SV522 )
!= ( produc951298923_b_nat @ SV570 @ SV598 ) )
| ~ ~ ( ( SV453 != SV570 )
| ( SV522 != SV598 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[2925]) ).
thf(2998,plain,
! [SV598: labeled_graph_b_nat,SV570: labeled_graph_b_nat,SV522: labeled_graph_b_nat,SV453: labeled_graph_b_nat] :
( ( ( ( produc951298923_b_nat @ SV453 @ SV522 )
= ( produc951298923_b_nat @ SV570 @ SV598 ) )
= ( ~ ( ( SV453 != SV570 )
| ( SV522 != SV598 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[2925]) ).
thf(2999,plain,
! [SV599: allegorical_term_b,SV571: set_Pr1163220871term_b,SV523: allegorical_term_b,SV454: allegorical_term_b] :
( ( ( ~ ( member516522448term_b @ ( produc1990145943term_b @ SV454 @ SV523 ) @ SV571 ) )
= $true )
| ( ( ( SV599 != SV523 )
| ( member516522448term_b @ ( produc1990145943term_b @ SV454 @ SV599 ) @ SV571 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2926]) ).
thf(3000,plain,
! [SV524: labeled_graph_b_nat,SV455: labeled_graph_b_nat] :
( ( ( ( graph_529870330at_nat @ SV455 @ SV524 @ ( id_on_nat @ ( labele460410879_b_nat @ SV455 ) ) )
| ~ ( ~ ~ ( ( SV455
!= ( restrict_b_nat @ SV455 ) )
| ( SV524
!= ( restrict_b_nat @ SV524 ) ) )
| ( ( graph_union_b_nat @ SV455 @ SV524 )
!= SV524 ) ) )
= $false )
| ( ( ~ ( ~ ( graph_529870330at_nat @ SV455 @ SV524 @ ( id_on_nat @ ( labele460410879_b_nat @ SV455 ) ) )
| ~ ~ ( ~ ~ ( ( SV455
!= ( restrict_b_nat @ SV455 ) )
| ( SV524
!= ( restrict_b_nat @ SV524 ) ) )
| ( ( graph_union_b_nat @ SV455 @ SV524 )
!= SV524 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2927]) ).
thf(3001,plain,
! [SV456: set_Pr9961929at_nat,SV525: set_Pr9961929at_nat] :
( ( ( ~ ( ord_le910748009at_nat @ SV525 @ SV456 ) )
= $true )
| ( ( finite1987068434at_nat @ SV525 )
= $true )
| ( ( finite1987068434at_nat @ SV456 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2928]) ).
thf(3002,plain,
! [SV457: labeled_graph_b_nat,SV526: labeled_graph_b_nat] :
( ( ( SV526
!= ( restrict_b_nat @ SV526 ) )
= $true )
| ( ( ( graph_union_b_nat @ SV457 @ SV526 )
= ( restrict_b_nat @ ( graph_union_b_nat @ SV457 @ SV526 ) ) )
= $true )
| ( ( SV457
= ( restrict_b_nat @ SV457 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2929]) ).
thf(3003,plain,
! [SV527: set_nat,SV458: set_nat] :
( ( ( ~ ~ ( finite_finite_nat @ SV458 ) )
= $true )
| ( ( ~ ( finite_finite_nat @ SV527 ) )
= $true )
| ( ( ord_less_eq_set_nat @ SV458 @ SV527 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2930]) ).
thf(3004,plain,
! [SV459: produc1478835367term_b] :
( ( SV459
= ( produc1990145943term_b @ ( sK58_SY720 @ SV459 ) @ ( sK61_SY869 @ SV459 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2931]) ).
thf(3005,plain,
! [SV460: b] :
( ( ~ ~ ( ~ ( graph_529870330at_nat @ ( produc1542243159_b_nat @ ( standa1360217389rule_b @ SV460 ) ) @ ( produc194497945_b_nat @ ( standa1360217389rule_b @ SV460 ) ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ ( standa1360217389rule_b @ SV460 ) ) ) ) )
| ( ( produc194497945_b_nat @ ( standa1360217389rule_b @ SV460 ) )
!= ( restrict_b_nat @ ( produc194497945_b_nat @ ( standa1360217389rule_b @ SV460 ) ) ) ) )
| ~ ( finite_finite_nat @ ( labele460410879_b_nat @ ( produc194497945_b_nat @ ( standa1360217389rule_b @ SV460 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2932]) ).
thf(3006,plain,
! [SV572: allegorical_term_b,SV528: allegorical_term_b,SV461: allegorical_term_b > allegorical_term_b > $o] :
( ( ( SV461 @ SV528 @ SV572 )
= $false )
| ( ( SV461 @ ( produc1223098053term_b @ ( produc1990145943term_b @ SV572 @ SV528 ) ) @ ( produc854192515term_b @ ( produc1990145943term_b @ SV572 @ SV528 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2934]) ).
thf(3007,plain,
! [SV529: produc1235635379_b_nat,SV462: labeled_graph_b_nat] :
( ( ( ( SV462
= ( produc194497945_b_nat @ SV529 ) )
| ~ ! [SY823: labeled_graph_b_nat] :
( SV529
!= ( produc951298923_b_nat @ SY823 @ SV462 ) ) )
= $false )
| ( ( ~ ( ( SV462
!= ( produc194497945_b_nat @ SV529 ) )
| ~ ~ ! [SY823: labeled_graph_b_nat] :
( SV529
!= ( produc951298923_b_nat @ SY823 @ SV462 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2935]) ).
thf(3008,plain,
! [SV463: set_nat,SV530: set_nat] :
( ( ( ~ ( finite_finite_nat @ SV530 ) )
= $true )
| ( ( finite_finite_nat @ SV463 )
= $true )
| ( ( ord_less_eq_set_nat @ SV463 @ SV530 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2936]) ).
thf(3009,plain,
! [SV573: labeled_graph_b_nat,SV531: labeled_graph_b_nat,SV464: labeled_graph_b_nat] :
( ( ( graph_529870330at_nat @ SV464 @ SV531 @ ( id_on_nat @ ( labele460410879_b_nat @ SV464 ) ) )
= $false )
| ( ( ~ ( graph_529870330at_nat @ SV531 @ SV573 @ ( id_on_nat @ ( labele460410879_b_nat @ SV531 ) ) )
| ( graph_529870330at_nat @ SV464 @ SV573 @ ( id_on_nat @ ( labele460410879_b_nat @ SV464 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2937]) ).
thf(3010,plain,
! [SV532: allegorical_term_b,SV465: allegorical_term_b] :
( ( ~ ( ~ ~ ( ~ ( graph_529870330at_nat @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV465 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV465 @ SV532 ) ) ) ) @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV465 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV465 @ SV532 ) ) ) ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV465 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV465 @ SV532 ) ) ) ) ) ) )
| ( ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV465 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV465 @ SV532 ) ) ) )
!= ( restrict_b_nat @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV465 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV465 @ SV532 ) ) ) ) ) ) )
| ~ ( finite_finite_nat @ ( labele460410879_b_nat @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV465 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV465 @ SV532 ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2938]) ).
thf(3011,plain,
! [SV532: allegorical_term_b,SV465: allegorical_term_b] :
( ( finite1987068434at_nat @ ( labeled_edges_b_nat @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV465 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV465 @ SV532 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2939]) ).
thf(3012,plain,
! [SV600: produc1478835367term_b,SV533: produc1478835367term_b] :
( ( ~ ( ( SV533 = SV600 )
| ~ ( ( ( produc854192515term_b @ SV533 )
!= ( produc854192515term_b @ SV600 ) )
| ( ( produc1223098053term_b @ SV533 )
!= ( produc1223098053term_b @ SV600 ) ) ) )
| ~ ( ( SV533 != SV600 )
| ~ ~ ( ( ( produc854192515term_b @ SV533 )
!= ( produc854192515term_b @ SV600 ) )
| ( ( produc1223098053term_b @ SV533 )
!= ( produc1223098053term_b @ SV600 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[2940]) ).
thf(3013,plain,
! [SV600: produc1478835367term_b,SV533: produc1478835367term_b] :
( ( ( SV533 = SV600 )
= ( ~ ( ( ( produc854192515term_b @ SV533 )
!= ( produc854192515term_b @ SV600 ) )
| ( ( produc1223098053term_b @ SV533 )
!= ( produc1223098053term_b @ SV600 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[2940]) ).
thf(3014,plain,
! [SV575: labeled_graph_b_nat,SV534: labeled_graph_b_nat,SV467: produc1235635379_b_nat] :
( ( ( SV467
= ( produc951298923_b_nat @ SV534 @ SV575 ) )
= $false )
| ( ( ( produc194497945_b_nat @ SV467 )
= SV575 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2941]) ).
thf(3015,plain,
! [SV468: produc1478835367term_b] :
( ( ! [SY870: allegorical_term_b] :
( SV468
!= ( produc1990145943term_b @ ( sK59_SY734 @ SV468 ) @ SY870 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2942]) ).
thf(3016,plain,
! [SV601: allegorical_term_b,SV576: allegorical_term_b,SV535: allegorical_term_b,SV469: allegorical_term_b] :
( ( ~ ( ( ( produc1990145943term_b @ SV469 @ SV535 )
= ( produc1990145943term_b @ SV576 @ SV601 ) )
| ~ ( ( SV469 != SV576 )
| ( SV535 != SV601 ) ) )
| ~ ( ( ( produc1990145943term_b @ SV469 @ SV535 )
!= ( produc1990145943term_b @ SV576 @ SV601 ) )
| ~ ~ ( ( SV469 != SV576 )
| ( SV535 != SV601 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[2943]) ).
thf(3017,plain,
! [SV601: allegorical_term_b,SV576: allegorical_term_b,SV535: allegorical_term_b,SV469: allegorical_term_b] :
( ( ( ( produc1990145943term_b @ SV469 @ SV535 )
= ( produc1990145943term_b @ SV576 @ SV601 ) )
= ( ~ ( ( SV469 != SV576 )
| ( SV535 != SV601 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[2943]) ).
thf(3018,plain,
! [SV536: produc1478835367term_b,SV470: allegorical_term_b] :
( ( ( ( SV470
= ( produc1223098053term_b @ SV536 ) )
| ~ ! [SY830: allegorical_term_b] :
( SV536
!= ( produc1990145943term_b @ SY830 @ SV470 ) ) )
= $false )
| ( ( ~ ( ( SV470
!= ( produc1223098053term_b @ SV536 ) )
| ~ ~ ! [SY830: allegorical_term_b] :
( SV536
!= ( produc1990145943term_b @ SY830 @ SV470 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2944]) ).
thf(3019,plain,
! [SV537: produc1235635379_b_nat,SV471: produc1235635379_b_nat > $o] :
( ( ( ! [SY881: labeled_graph_b_nat] : ( SV471 @ ( produc951298923_b_nat @ ( sK64_SY742 @ SV537 @ SV471 ) @ SY881 ) ) )
= $false )
| ( ( SV471 @ SV537 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2945]) ).
thf(3020,plain,
! [SV577: allegorical_term_b,SV538: allegorical_term_b,SV472: produc1478835367term_b] :
( ( ( SV472
= ( produc1990145943term_b @ SV538 @ SV577 ) )
= $false )
| ( ( ( produc854192515term_b @ SV472 )
= SV538 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2946]) ).
thf(3021,plain,
! [SV539: produc1235635379_b_nat,SV473: produc1235635379_b_nat] :
( ( ( ( ( produc1542243159_b_nat @ SV473 )
!= ( produc1542243159_b_nat @ SV539 ) )
| ( ( produc194497945_b_nat @ SV473 )
!= ( produc194497945_b_nat @ SV539 ) ) )
= $true )
| ( ( SV473 = SV539 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2947]) ).
thf(3022,plain,
! [SV578: allegorical_term_b,SV540: allegorical_term_b,SV474: allegorical_term_b] :
( ( ( ( produc854192515term_b @ ( produc1990145943term_b @ SV474 @ SV540 ) )
= SV578 )
= $false )
| ( ( SV474 = SV578 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2948]) ).
thf(3023,plain,
! [SV602: labeled_graph_b_nat,SV579: labeled_graph_b_nat,SV541: labeled_graph_b_nat,SV475: labeled_graph_b_nat] :
( ( ~ ( ( ( produc951298923_b_nat @ SV475 @ SV541 )
= ( produc951298923_b_nat @ SV579 @ SV602 ) )
| ~ ( ( SV475 != SV579 )
| ( SV541 != SV602 ) ) )
| ~ ( ( ( produc951298923_b_nat @ SV475 @ SV541 )
!= ( produc951298923_b_nat @ SV579 @ SV602 ) )
| ~ ~ ( ( SV475 != SV579 )
| ( SV541 != SV602 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[2949]) ).
thf(3024,plain,
! [SV602: labeled_graph_b_nat,SV579: labeled_graph_b_nat,SV541: labeled_graph_b_nat,SV475: labeled_graph_b_nat] :
( ( ( ( produc951298923_b_nat @ SV475 @ SV541 )
= ( produc951298923_b_nat @ SV579 @ SV602 ) )
= ( ~ ( ( SV475 != SV579 )
| ( SV541 != SV602 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[2949]) ).
thf(3025,plain,
! [SV603: allegorical_term_b,SV580: allegorical_term_b > $o,SV542: allegorical_term_b,SV476: allegorical_term_b > $o] :
( ( ( ~ ( SV476 @ SV542 ) )
= $true )
| ( ( ~ ( SV580 @ SV603 )
| ~ ( ~ ( SV476 @ ( produc854192515term_b @ ( produc1990145943term_b @ SV542 @ SV603 ) ) )
| ~ ( SV580 @ ( produc1223098053term_b @ ( produc1990145943term_b @ SV542 @ SV603 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2950]) ).
thf(3026,plain,
! [SV604: produc1235635379_b_nat,SV581: labeled_graph_b_nat,SV543: labeled_graph_b_nat,SV477: labeled_graph_b_nat > labeled_graph_b_nat > $o] :
( ( ( ~ ( SV477 @ SV543 @ SV581 ) )
= $true )
| ( ( ( SV604
!= ( produc951298923_b_nat @ SV543 @ SV581 ) )
| ( SV477 @ ( produc1542243159_b_nat @ SV604 ) @ ( produc194497945_b_nat @ SV604 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2951]) ).
thf(3027,plain,
! [SV582: labeled_graph_b_nat,SV544: labeled_graph_b_nat,SV478: labeled_graph_b_nat] :
( ( ( ( produc1542243159_b_nat @ ( produc951298923_b_nat @ SV478 @ SV544 ) )
= SV582 )
= $false )
| ( ( SV478 = SV582 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2952]) ).
thf(3028,plain,
( ( ~ ~ ( ~ ( graph_529870330at_nat @ ( produc1542243159_b_nat @ standa879863266rule_b ) @ ( produc194497945_b_nat @ standa879863266rule_b ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ standa879863266rule_b ) ) ) )
| ( ( produc194497945_b_nat @ standa879863266rule_b )
!= ( restrict_b_nat @ ( produc194497945_b_nat @ standa879863266rule_b ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2953]) ).
thf(3029,plain,
( ( ~ ( finite_finite_nat @ ( labele460410879_b_nat @ ( produc194497945_b_nat @ standa879863266rule_b ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[2953]) ).
thf(3030,plain,
! [SV545: produc1478835367term_b,SV479: produc1478835367term_b] :
( ( ( ( produc1223098053term_b @ SV479 )
!= ( produc1223098053term_b @ SV545 ) )
= $true )
| ( ( SV479 = SV545 )
= $true )
| ( ( ( produc854192515term_b @ SV479 )
= ( produc854192515term_b @ SV545 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2954]) ).
thf(3031,plain,
! [SV583: allegorical_term_b,SV546: allegorical_term_b,SV480: allegorical_term_b] :
( ( ( ( produc1223098053term_b @ ( produc1990145943term_b @ SV480 @ SV546 ) )
= SV583 )
= $false )
| ( ( SV546 = SV583 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2955]) ).
thf(3032,plain,
! [SV547: produc1235635379_b_nat,SV481: produc1235635379_b_nat] :
( ( ( ( produc194497945_b_nat @ SV481 )
!= ( produc194497945_b_nat @ SV547 ) )
= $true )
| ( ( SV481 = SV547 )
= $true )
| ( ( ( produc1542243159_b_nat @ SV481 )
= ( produc1542243159_b_nat @ SV547 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2956]) ).
thf(3033,plain,
! [SV548: produc1478835367term_b,SV482: allegorical_term_b > allegorical_term_b > $o] :
( ( ( ! [SY765: allegorical_term_b,SY766: allegorical_term_b] :
~ ( SV482 @ SY766 @ SY765 ) )
= $false )
| ( ( SV482 @ ( produc1223098053term_b @ SV548 ) @ ( produc854192515term_b @ SV548 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2957]) ).
thf(3034,plain,
! [SV483: b] :
( ( ~ ~ ( ~ ( graph_529870330at_nat @ ( produc1542243159_b_nat @ ( standa1329480013rule_b @ SV483 ) ) @ ( produc194497945_b_nat @ ( standa1329480013rule_b @ SV483 ) ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ ( standa1329480013rule_b @ SV483 ) ) ) ) )
| ( ( produc194497945_b_nat @ ( standa1329480013rule_b @ SV483 ) )
!= ( restrict_b_nat @ ( produc194497945_b_nat @ ( standa1329480013rule_b @ SV483 ) ) ) ) )
| ~ ( finite_finite_nat @ ( labele460410879_b_nat @ ( produc194497945_b_nat @ ( standa1329480013rule_b @ SV483 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2958]) ).
thf(3035,plain,
! [SV605: set_Pr1986765409at_nat,SV584: labeled_graph_b_nat,SV549: labeled_graph_b_nat,SV484: labeled_graph_b_nat] :
( ( ( ~ ( graph_529870330at_nat @ SV484 @ SV549 @ ( id_on_nat @ ( labele460410879_b_nat @ SV484 ) ) ) )
= $true )
| ( ( ~ ( graph_529870330at_nat @ SV584 @ SV484 @ SV605 )
| ( graph_529870330at_nat @ SV584 @ SV549 @ SV605 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2960]) ).
thf(3036,plain,
! [SV485: set_Pr9961929at_nat] :
( ( ( SV485 = bot_bo1626616373at_nat )
= $false )
| ( ( finite1987068434at_nat @ SV485 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2961]) ).
thf(3037,plain,
! [SV585: set_Pr1986765409at_nat,SV550: labeled_graph_b_nat,SV486: labeled_graph_b_nat] :
( ( ( graph_529870330at_nat @ SV486 @ SV550 @ SV585 )
= $false )
| ( ( extensible_b_nat_nat @ ( produc951298923_b_nat @ SV486 @ SV486 ) @ SV550 @ SV585 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2962]) ).
thf(3038,plain,
! [SV586: labeled_graph_b_nat,SV551: labeled_graph_b_nat,SV487: produc1235635379_b_nat] :
( ( ( SV487
= ( produc951298923_b_nat @ SV551 @ SV586 ) )
= $false )
| ( ( ( produc1542243159_b_nat @ SV487 )
= SV551 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2963]) ).
thf(3039,plain,
! [SV552: produc1235635379_b_nat,SV488: produc1235635379_b_nat > $o] :
( ( ( ! [SY882: labeled_graph_b_nat] : ( SV488 @ ( produc951298923_b_nat @ ( sK65_SY775 @ SV552 @ SV488 ) @ SY882 ) ) )
= $false )
| ( ( SV488 @ SV552 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2964]) ).
thf(3040,plain,
! [SV489: produc1235635379_b_nat] :
( ( SV489
= ( produc951298923_b_nat @ ( sK60_SY777 @ SV489 ) @ ( sK62_SY876 @ SV489 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[2965]) ).
thf(3041,plain,
! [SV587: labeled_graph_b_nat,SV553: labeled_graph_b_nat,SV490: labeled_graph_b_nat > labeled_graph_b_nat > $o] :
( ( ( SV490 @ SV553 @ SV587 )
= $false )
| ( ( SV490 @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ SV587 @ SV553 ) ) @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ SV587 @ SV553 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2966]) ).
thf(3042,plain,
! [SV555: produc1478835367term_b,SV492: produc1478835367term_b] :
( ( ( ( ( produc854192515term_b @ SV492 )
!= ( produc854192515term_b @ SV555 ) )
| ( ( produc1223098053term_b @ SV492 )
!= ( produc1223098053term_b @ SV555 ) ) )
= $true )
| ( ( SV492 = SV555 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2968]) ).
thf(3043,plain,
! [SV606: allegorical_term_b,SV588: allegorical_term_b,SV556: allegorical_term_b,SV493: allegorical_term_b] :
( ( ~ ( ( ( allegorical_A_Int_b @ SV493 @ SV556 )
= ( allegorical_A_Int_b @ SV588 @ SV606 ) )
| ~ ( ( SV493 != SV588 )
| ( SV556 != SV606 ) ) )
| ~ ( ( ( allegorical_A_Int_b @ SV493 @ SV556 )
!= ( allegorical_A_Int_b @ SV588 @ SV606 ) )
| ~ ~ ( ( SV493 != SV588 )
| ( SV556 != SV606 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[2969]) ).
thf(3044,plain,
! [SV606: allegorical_term_b,SV588: allegorical_term_b,SV556: allegorical_term_b,SV493: allegorical_term_b] :
( ( ( ( allegorical_A_Int_b @ SV493 @ SV556 )
= ( allegorical_A_Int_b @ SV588 @ SV606 ) )
= ( ~ ( ( SV493 != SV588 )
| ( SV556 != SV606 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[2969]) ).
thf(3045,plain,
! [SV494: set_Pr9961929at_nat,SV557: set_Pr9961929at_nat] :
( ( ( ~ ( finite1987068434at_nat @ SV557 ) )
= $true )
| ( ( finite1987068434at_nat @ SV494 )
= $true )
| ( ( ord_le910748009at_nat @ SV494 @ SV557 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2970]) ).
thf(3046,plain,
! [SV607: allegorical_term_b,SV589: allegorical_term_b,SV559: allegorical_term_b,SV496: allegorical_term_b] :
( ( ~ ( ( ( produc1990145943term_b @ SV496 @ SV559 )
= ( produc1990145943term_b @ SV589 @ SV607 ) )
| ~ ( ( SV496 != SV589 )
| ( SV559 != SV607 ) ) )
| ~ ( ( ( produc1990145943term_b @ SV496 @ SV559 )
!= ( produc1990145943term_b @ SV589 @ SV607 ) )
| ~ ~ ( ( SV496 != SV589 )
| ( SV559 != SV607 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[2972]) ).
thf(3047,plain,
! [SV607: allegorical_term_b,SV589: allegorical_term_b,SV559: allegorical_term_b,SV496: allegorical_term_b] :
( ( ( ( produc1990145943term_b @ SV496 @ SV559 )
= ( produc1990145943term_b @ SV589 @ SV607 ) )
= ( ~ ( ( SV496 != SV589 )
| ( SV559 != SV607 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[2972]) ).
thf(3048,plain,
! [SV590: allegorical_term_b,SV560: allegorical_term_b,SV497: produc1478835367term_b] :
( ( ( SV497
= ( produc1990145943term_b @ SV560 @ SV590 ) )
= $false )
| ( ( ( produc1223098053term_b @ SV497 )
= SV590 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2973]) ).
thf(3049,plain,
! [SV561: produc1478835367term_b,SV498: produc1478835367term_b > $o] :
( ( ( ! [SY883: allegorical_term_b] : ( SV498 @ ( produc1990145943term_b @ ( sK66_SY794 @ SV561 @ SV498 ) @ SY883 ) ) )
= $false )
| ( ( SV498 @ SV561 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2974]) ).
thf(3050,plain,
! [SV409: labeled_graph_b_nat] :
( ( ( ~ ( graph_529870330at_nat @ SV409 @ SV409 @ ( id_on_nat @ ( labele460410879_b_nat @ SV409 ) ) )
| ( SV409
!= ( restrict_b_nat @ SV409 ) ) )
= $false )
| ( ( graph_529870330at_nat @ SV409 @ SV409 @ ( id_on_nat @ ( labele460410879_b_nat @ SV409 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2975]) ).
thf(3051,plain,
! [SV409: labeled_graph_b_nat] :
( ( ( ~ ( graph_529870330at_nat @ SV409 @ SV409 @ ( id_on_nat @ ( labele460410879_b_nat @ SV409 ) ) )
| ( SV409
!= ( restrict_b_nat @ SV409 ) ) )
= $false )
| ( ( SV409
= ( restrict_b_nat @ SV409 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2976]) ).
thf(3052,plain,
! [SV410: labeled_graph_b_nat] :
( ( ( ~ ( graph_529870330at_nat @ SV410 @ ( restrict_b_nat @ SV410 ) @ ( id_on_nat @ ( labele460410879_b_nat @ SV410 ) ) )
| ( SV410
!= ( restrict_b_nat @ SV410 ) ) )
= $false )
| ( ( graph_529870330at_nat @ SV410 @ ( restrict_b_nat @ SV410 ) @ ( id_on_nat @ ( labele460410879_b_nat @ SV410 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2977]) ).
thf(3053,plain,
! [SV410: labeled_graph_b_nat] :
( ( ( ~ ( graph_529870330at_nat @ SV410 @ ( restrict_b_nat @ SV410 ) @ ( id_on_nat @ ( labele460410879_b_nat @ SV410 ) ) )
| ( SV410
!= ( restrict_b_nat @ SV410 ) ) )
= $false )
| ( ( SV410
= ( restrict_b_nat @ SV410 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2978]) ).
thf(3054,plain,
! [SV506: set_Pr9961929at_nat,SV434: set_Pr9961929at_nat] :
( ( ( ~ ( finite1987068434at_nat @ SV434 ) )
= $false )
| ( ( ~ ( finite1987068434at_nat @ SV506 ) )
= $true )
| ( ( ord_le910748009at_nat @ SV434 @ SV506 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2979]) ).
thf(3055,plain,
! [SV591: labeled_graph_b_nat,SV562: labeled_graph_b_nat > $o,SV507: labeled_graph_b_nat,SV435: labeled_graph_b_nat > $o] :
( ( ( SV435 @ SV507 )
= $false )
| ( ( ~ ( SV562 @ SV591 )
| ~ ( ~ ( SV435 @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ SV507 @ SV591 ) ) )
| ~ ( SV562 @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ SV507 @ SV591 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2980]) ).
thf(3056,plain,
! [SV592: produc1235635379_b_nat,SV508: produc1235635379_b_nat] :
( ( ( ~ ( ( SV508 = SV592 )
| ~ ( ( ( produc1542243159_b_nat @ SV508 )
!= ( produc1542243159_b_nat @ SV592 ) )
| ( ( produc194497945_b_nat @ SV508 )
!= ( produc194497945_b_nat @ SV592 ) ) ) ) )
= $true )
| ( ( ~ ( ( SV508 != SV592 )
| ~ ~ ( ( ( produc1542243159_b_nat @ SV508 )
!= ( produc1542243159_b_nat @ SV592 ) )
| ( ( produc194497945_b_nat @ SV508 )
!= ( produc194497945_b_nat @ SV592 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2981]) ).
thf(3057,plain,
! [SV593: labeled_graph_b_nat,SV564: set_Pr551076371_b_nat,SV509: labeled_graph_b_nat,SV437: labeled_graph_b_nat] :
( ( ( member963855452_b_nat @ ( produc951298923_b_nat @ SV437 @ SV509 ) @ SV564 )
= $false )
| ( ( ( SV593 != SV509 )
| ( member963855452_b_nat @ ( produc951298923_b_nat @ SV437 @ SV593 ) @ SV564 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2983]) ).
thf(3058,plain,
! [SV439: produc1235635379_b_nat] :
( ( SV439
!= ( produc951298923_b_nat @ ( sK57_SY680 @ SV439 ) @ ( sK67_SY861 @ SV439 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[2985]) ).
thf(3059,plain,
! [SV594: labeled_graph_b_nat,SV566: labeled_graph_b_nat,SV511: labeled_graph_b_nat,SV441: labeled_graph_b_nat] :
( ( ( ( produc951298923_b_nat @ SV441 @ SV511 )
= ( produc951298923_b_nat @ SV566 @ SV594 ) )
= $false )
| ( ( ~ ( ( SV441 != SV566 )
| ( SV511 != SV594 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2987]) ).
thf(3060,plain,
! [SV512: produc1235635379_b_nat,SV442: labeled_graph_b_nat] :
( ( ( SV442
= ( produc1542243159_b_nat @ SV512 ) )
= $false )
| ( ( ~ ( ( SV442
!= ( produc1542243159_b_nat @ SV512 ) )
| ~ ~ ! [SY805: labeled_graph_b_nat] :
( SV512
!= ( produc951298923_b_nat @ SV442 @ SY805 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2988]) ).
thf(3061,plain,
! [SV442: labeled_graph_b_nat,SV512: produc1235635379_b_nat] :
( ( ( ~ ! [SY805: labeled_graph_b_nat] :
( SV512
!= ( produc951298923_b_nat @ SV442 @ SY805 ) ) )
= $false )
| ( ( ~ ( ( SV442
!= ( produc1542243159_b_nat @ SV512 ) )
| ~ ~ ! [SY805: labeled_graph_b_nat] :
( SV512
!= ( produc951298923_b_nat @ SV442 @ SY805 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2988]) ).
thf(3062,plain,
! [SV514: produc1478835367term_b,SV444: produc1478835367term_b > $o] :
( ( ( SV444 @ ( produc1990145943term_b @ ( sK63_SY691 @ SV514 @ SV444 ) @ ( sK68_SY880 @ SV514 @ SV444 ) ) )
= $false )
| ( ( SV444 @ SV514 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2989]) ).
thf(3063,plain,
! [SV608: set_Pr1986765409at_nat,SV595: labeled_graph_b_nat,SV567: set_Pr1986765409at_nat,SV515: labeled_graph_b_nat,SV445: labeled_graph_b_nat] :
( ( ( ~ ( graph_529870330at_nat @ SV445 @ SV515 @ SV567 ) )
= $true )
| ( ( ~ ( graph_529870330at_nat @ SV515 @ SV595 @ SV608 )
| ( graph_529870330at_nat @ SV445 @ SV595 @ ( relcomp_nat_nat_nat @ SV567 @ SV608 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2990]) ).
thf(3064,plain,
! [SV516: labeled_graph_b_nat,SV446: labeled_graph_b_nat] :
( ( ( ( labeled_edges_b_nat @ SV446 )
!= ( labeled_edges_b_nat @ SV516 ) )
= $true )
| ( ( ( labele460410879_b_nat @ SV446 )
!= ( labele460410879_b_nat @ SV516 ) )
= $true )
| ( ( SV446 = SV516 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2991]) ).
thf(3065,plain,
! [SV447: set_nat,SV517: set_nat] :
( ( ( ord_less_eq_set_nat @ SV517 @ SV447 )
= $false )
| ( ( finite_finite_nat @ SV517 )
= $true )
| ( ( finite_finite_nat @ SV447 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2992]) ).
thf(3066,plain,
! [SV518: produc1478835367term_b,SV448: allegorical_term_b] :
( ( ( SV448
= ( produc854192515term_b @ SV518 ) )
= $false )
| ( ( ~ ( ( SV448
!= ( produc854192515term_b @ SV518 ) )
| ~ ~ ! [SY811: allegorical_term_b] :
( SV518
!= ( produc1990145943term_b @ SV448 @ SY811 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2993]) ).
thf(3067,plain,
! [SV448: allegorical_term_b,SV518: produc1478835367term_b] :
( ( ( ~ ! [SY811: allegorical_term_b] :
( SV518
!= ( produc1990145943term_b @ SV448 @ SY811 ) ) )
= $false )
| ( ( ~ ( ( SV448
!= ( produc854192515term_b @ SV518 ) )
| ~ ~ ! [SY811: allegorical_term_b] :
( SV518
!= ( produc1990145943term_b @ SV448 @ SY811 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2993]) ).
thf(3068,plain,
! [SV519: produc1235635379_b_nat,SV449: labeled_graph_b_nat > labeled_graph_b_nat > $o] :
( ( ( ! [SY884: labeled_graph_b_nat] :
~ ( SV449 @ SY884 @ ( sK69_SY702 @ SV519 @ SV449 ) ) )
= $false )
| ( ( SV449 @ ( produc194497945_b_nat @ SV519 ) @ ( produc1542243159_b_nat @ SV519 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2994]) ).
thf(3069,plain,
! [SV596: allegorical_term_b,SV568: allegorical_term_b,SV520: allegorical_term_b,SV451: allegorical_term_b] :
( ( ( ( produc1990145943term_b @ SV451 @ SV520 )
= ( produc1990145943term_b @ SV568 @ SV596 ) )
= $false )
| ( ( ~ ( ( SV451 != SV568 )
| ( SV520 != SV596 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2995]) ).
thf(3070,plain,
! [SV597: produc1478835367term_b,SV569: allegorical_term_b,SV521: allegorical_term_b,SV452: allegorical_term_b > allegorical_term_b > $o] :
( ( ( SV452 @ SV521 @ SV569 )
= $false )
| ( ( ( SV597
!= ( produc1990145943term_b @ SV521 @ SV569 ) )
| ( SV452 @ ( produc854192515term_b @ SV597 ) @ ( produc1223098053term_b @ SV597 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2996]) ).
thf(3071,plain,
! [SV598: labeled_graph_b_nat,SV570: labeled_graph_b_nat,SV522: labeled_graph_b_nat,SV453: labeled_graph_b_nat] :
( ( ( ~ ( ( ( produc951298923_b_nat @ SV453 @ SV522 )
= ( produc951298923_b_nat @ SV570 @ SV598 ) )
| ~ ( ( SV453 != SV570 )
| ( SV522 != SV598 ) ) ) )
= $true )
| ( ( ~ ( ( ( produc951298923_b_nat @ SV453 @ SV522 )
!= ( produc951298923_b_nat @ SV570 @ SV598 ) )
| ~ ~ ( ( SV453 != SV570 )
| ( SV522 != SV598 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2997]) ).
thf(3072,plain,
! [SV599: allegorical_term_b,SV571: set_Pr1163220871term_b,SV523: allegorical_term_b,SV454: allegorical_term_b] :
( ( ( member516522448term_b @ ( produc1990145943term_b @ SV454 @ SV523 ) @ SV571 )
= $false )
| ( ( ( SV599 != SV523 )
| ( member516522448term_b @ ( produc1990145943term_b @ SV454 @ SV599 ) @ SV571 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2999]) ).
thf(3073,plain,
! [SV524: labeled_graph_b_nat,SV455: labeled_graph_b_nat] :
( ( ( graph_529870330at_nat @ SV455 @ SV524 @ ( id_on_nat @ ( labele460410879_b_nat @ SV455 ) ) )
= $false )
| ( ( ~ ( ~ ( graph_529870330at_nat @ SV455 @ SV524 @ ( id_on_nat @ ( labele460410879_b_nat @ SV455 ) ) )
| ~ ~ ( ~ ~ ( ( SV455
!= ( restrict_b_nat @ SV455 ) )
| ( SV524
!= ( restrict_b_nat @ SV524 ) ) )
| ( ( graph_union_b_nat @ SV455 @ SV524 )
!= SV524 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3000]) ).
thf(3074,plain,
! [SV524: labeled_graph_b_nat,SV455: labeled_graph_b_nat] :
( ( ( ~ ( ~ ~ ( ( SV455
!= ( restrict_b_nat @ SV455 ) )
| ( SV524
!= ( restrict_b_nat @ SV524 ) ) )
| ( ( graph_union_b_nat @ SV455 @ SV524 )
!= SV524 ) ) )
= $false )
| ( ( ~ ( ~ ( graph_529870330at_nat @ SV455 @ SV524 @ ( id_on_nat @ ( labele460410879_b_nat @ SV455 ) ) )
| ~ ~ ( ~ ~ ( ( SV455
!= ( restrict_b_nat @ SV455 ) )
| ( SV524
!= ( restrict_b_nat @ SV524 ) ) )
| ( ( graph_union_b_nat @ SV455 @ SV524 )
!= SV524 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3000]) ).
thf(3075,plain,
! [SV456: set_Pr9961929at_nat,SV525: set_Pr9961929at_nat] :
( ( ( ord_le910748009at_nat @ SV525 @ SV456 )
= $false )
| ( ( finite1987068434at_nat @ SV525 )
= $true )
| ( ( finite1987068434at_nat @ SV456 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3001]) ).
thf(3076,plain,
! [SV457: labeled_graph_b_nat,SV526: labeled_graph_b_nat] :
( ( ( SV526
= ( restrict_b_nat @ SV526 ) )
= $false )
| ( ( ( graph_union_b_nat @ SV457 @ SV526 )
= ( restrict_b_nat @ ( graph_union_b_nat @ SV457 @ SV526 ) ) )
= $true )
| ( ( SV457
= ( restrict_b_nat @ SV457 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3002]) ).
thf(3077,plain,
! [SV527: set_nat,SV458: set_nat] :
( ( ( ~ ( finite_finite_nat @ SV458 ) )
= $false )
| ( ( ~ ( finite_finite_nat @ SV527 ) )
= $true )
| ( ( ord_less_eq_set_nat @ SV458 @ SV527 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3003]) ).
thf(3078,plain,
! [SV460: b] :
( ( ~ ~ ( ~ ( graph_529870330at_nat @ ( produc1542243159_b_nat @ ( standa1360217389rule_b @ SV460 ) ) @ ( produc194497945_b_nat @ ( standa1360217389rule_b @ SV460 ) ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ ( standa1360217389rule_b @ SV460 ) ) ) ) )
| ( ( produc194497945_b_nat @ ( standa1360217389rule_b @ SV460 ) )
!= ( restrict_b_nat @ ( produc194497945_b_nat @ ( standa1360217389rule_b @ SV460 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[3005]) ).
thf(3079,plain,
! [SV460: b] :
( ( ~ ( finite_finite_nat @ ( labele460410879_b_nat @ ( produc194497945_b_nat @ ( standa1360217389rule_b @ SV460 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[3005]) ).
thf(3080,plain,
! [SV529: produc1235635379_b_nat,SV462: labeled_graph_b_nat] :
( ( ( SV462
= ( produc194497945_b_nat @ SV529 ) )
= $false )
| ( ( ~ ( ( SV462
!= ( produc194497945_b_nat @ SV529 ) )
| ~ ~ ! [SY823: labeled_graph_b_nat] :
( SV529
!= ( produc951298923_b_nat @ SY823 @ SV462 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3007]) ).
thf(3081,plain,
! [SV462: labeled_graph_b_nat,SV529: produc1235635379_b_nat] :
( ( ( ~ ! [SY823: labeled_graph_b_nat] :
( SV529
!= ( produc951298923_b_nat @ SY823 @ SV462 ) ) )
= $false )
| ( ( ~ ( ( SV462
!= ( produc194497945_b_nat @ SV529 ) )
| ~ ~ ! [SY823: labeled_graph_b_nat] :
( SV529
!= ( produc951298923_b_nat @ SY823 @ SV462 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3007]) ).
thf(3082,plain,
! [SV463: set_nat,SV530: set_nat] :
( ( ( finite_finite_nat @ SV530 )
= $false )
| ( ( finite_finite_nat @ SV463 )
= $true )
| ( ( ord_less_eq_set_nat @ SV463 @ SV530 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3008]) ).
thf(3083,plain,
! [SV464: labeled_graph_b_nat,SV573: labeled_graph_b_nat,SV531: labeled_graph_b_nat] :
( ( ( ~ ( graph_529870330at_nat @ SV531 @ SV573 @ ( id_on_nat @ ( labele460410879_b_nat @ SV531 ) ) ) )
= $true )
| ( ( graph_529870330at_nat @ SV464 @ SV573 @ ( id_on_nat @ ( labele460410879_b_nat @ SV464 ) ) )
= $true )
| ( ( graph_529870330at_nat @ SV464 @ SV531 @ ( id_on_nat @ ( labele460410879_b_nat @ SV464 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3009]) ).
thf(3084,plain,
! [SV532: allegorical_term_b,SV465: allegorical_term_b] :
( ( ~ ~ ( ~ ( graph_529870330at_nat @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV465 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV465 @ SV532 ) ) ) ) @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV465 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV465 @ SV532 ) ) ) ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV465 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV465 @ SV532 ) ) ) ) ) ) )
| ( ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV465 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV465 @ SV532 ) ) ) )
!= ( restrict_b_nat @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV465 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV465 @ SV532 ) ) ) ) ) ) )
| ~ ( finite_finite_nat @ ( labele460410879_b_nat @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV465 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV465 @ SV532 ) ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[3010]) ).
thf(3085,plain,
! [SV600: produc1478835367term_b,SV533: produc1478835367term_b] :
( ( ( ~ ( ( SV533 = SV600 )
| ~ ( ( ( produc854192515term_b @ SV533 )
!= ( produc854192515term_b @ SV600 ) )
| ( ( produc1223098053term_b @ SV533 )
!= ( produc1223098053term_b @ SV600 ) ) ) ) )
= $true )
| ( ( ~ ( ( SV533 != SV600 )
| ~ ~ ( ( ( produc854192515term_b @ SV533 )
!= ( produc854192515term_b @ SV600 ) )
| ( ( produc1223098053term_b @ SV533 )
!= ( produc1223098053term_b @ SV600 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3012]) ).
thf(3086,plain,
! [SV468: produc1478835367term_b] :
( ( SV468
!= ( produc1990145943term_b @ ( sK59_SY734 @ SV468 ) @ ( sK70_SY870 @ SV468 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[3015]) ).
thf(3087,plain,
! [SV601: allegorical_term_b,SV576: allegorical_term_b,SV535: allegorical_term_b,SV469: allegorical_term_b] :
( ( ( ~ ( ( ( produc1990145943term_b @ SV469 @ SV535 )
= ( produc1990145943term_b @ SV576 @ SV601 ) )
| ~ ( ( SV469 != SV576 )
| ( SV535 != SV601 ) ) ) )
= $true )
| ( ( ~ ( ( ( produc1990145943term_b @ SV469 @ SV535 )
!= ( produc1990145943term_b @ SV576 @ SV601 ) )
| ~ ~ ( ( SV469 != SV576 )
| ( SV535 != SV601 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3016]) ).
thf(3088,plain,
! [SV536: produc1478835367term_b,SV470: allegorical_term_b] :
( ( ( SV470
= ( produc1223098053term_b @ SV536 ) )
= $false )
| ( ( ~ ( ( SV470
!= ( produc1223098053term_b @ SV536 ) )
| ~ ~ ! [SY830: allegorical_term_b] :
( SV536
!= ( produc1990145943term_b @ SY830 @ SV470 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3018]) ).
thf(3089,plain,
! [SV470: allegorical_term_b,SV536: produc1478835367term_b] :
( ( ( ~ ! [SY830: allegorical_term_b] :
( SV536
!= ( produc1990145943term_b @ SY830 @ SV470 ) ) )
= $false )
| ( ( ~ ( ( SV470
!= ( produc1223098053term_b @ SV536 ) )
| ~ ~ ! [SY830: allegorical_term_b] :
( SV536
!= ( produc1990145943term_b @ SY830 @ SV470 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3018]) ).
thf(3090,plain,
! [SV537: produc1235635379_b_nat,SV471: produc1235635379_b_nat > $o] :
( ( ( SV471 @ ( produc951298923_b_nat @ ( sK64_SY742 @ SV537 @ SV471 ) @ ( sK71_SY881 @ SV537 @ SV471 ) ) )
= $false )
| ( ( SV471 @ SV537 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[3019]) ).
thf(3091,plain,
! [SV539: produc1235635379_b_nat,SV473: produc1235635379_b_nat] :
( ( ( ( produc1542243159_b_nat @ SV473 )
!= ( produc1542243159_b_nat @ SV539 ) )
= $true )
| ( ( ( produc194497945_b_nat @ SV473 )
!= ( produc194497945_b_nat @ SV539 ) )
= $true )
| ( ( SV473 = SV539 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3021]) ).
thf(3092,plain,
! [SV602: labeled_graph_b_nat,SV579: labeled_graph_b_nat,SV541: labeled_graph_b_nat,SV475: labeled_graph_b_nat] :
( ( ( ~ ( ( ( produc951298923_b_nat @ SV475 @ SV541 )
= ( produc951298923_b_nat @ SV579 @ SV602 ) )
| ~ ( ( SV475 != SV579 )
| ( SV541 != SV602 ) ) ) )
= $true )
| ( ( ~ ( ( ( produc951298923_b_nat @ SV475 @ SV541 )
!= ( produc951298923_b_nat @ SV579 @ SV602 ) )
| ~ ~ ( ( SV475 != SV579 )
| ( SV541 != SV602 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3023]) ).
thf(3093,plain,
! [SV603: allegorical_term_b,SV580: allegorical_term_b > $o,SV542: allegorical_term_b,SV476: allegorical_term_b > $o] :
( ( ( SV476 @ SV542 )
= $false )
| ( ( ~ ( SV580 @ SV603 )
| ~ ( ~ ( SV476 @ ( produc854192515term_b @ ( produc1990145943term_b @ SV542 @ SV603 ) ) )
| ~ ( SV580 @ ( produc1223098053term_b @ ( produc1990145943term_b @ SV542 @ SV603 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3025]) ).
thf(3094,plain,
! [SV604: produc1235635379_b_nat,SV581: labeled_graph_b_nat,SV543: labeled_graph_b_nat,SV477: labeled_graph_b_nat > labeled_graph_b_nat > $o] :
( ( ( SV477 @ SV543 @ SV581 )
= $false )
| ( ( ( SV604
!= ( produc951298923_b_nat @ SV543 @ SV581 ) )
| ( SV477 @ ( produc1542243159_b_nat @ SV604 ) @ ( produc194497945_b_nat @ SV604 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3026]) ).
thf(3095,plain,
( ( ~ ( ~ ( graph_529870330at_nat @ ( produc1542243159_b_nat @ standa879863266rule_b ) @ ( produc194497945_b_nat @ standa879863266rule_b ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ standa879863266rule_b ) ) ) )
| ( ( produc194497945_b_nat @ standa879863266rule_b )
!= ( restrict_b_nat @ ( produc194497945_b_nat @ standa879863266rule_b ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[3028]) ).
thf(3096,plain,
( ( finite_finite_nat @ ( labele460410879_b_nat @ ( produc194497945_b_nat @ standa879863266rule_b ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[3029]) ).
thf(3097,plain,
! [SV545: produc1478835367term_b,SV479: produc1478835367term_b] :
( ( ( ( produc1223098053term_b @ SV479 )
= ( produc1223098053term_b @ SV545 ) )
= $false )
| ( ( SV479 = SV545 )
= $true )
| ( ( ( produc854192515term_b @ SV479 )
= ( produc854192515term_b @ SV545 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3030]) ).
thf(3098,plain,
! [SV547: produc1235635379_b_nat,SV481: produc1235635379_b_nat] :
( ( ( ( produc194497945_b_nat @ SV481 )
= ( produc194497945_b_nat @ SV547 ) )
= $false )
| ( ( SV481 = SV547 )
= $true )
| ( ( ( produc1542243159_b_nat @ SV481 )
= ( produc1542243159_b_nat @ SV547 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3032]) ).
thf(3099,plain,
! [SV548: produc1478835367term_b,SV482: allegorical_term_b > allegorical_term_b > $o] :
( ( ( ! [SY885: allegorical_term_b] :
~ ( SV482 @ SY885 @ ( sK72_SY765 @ SV548 @ SV482 ) ) )
= $false )
| ( ( SV482 @ ( produc1223098053term_b @ SV548 ) @ ( produc854192515term_b @ SV548 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[3033]) ).
thf(3100,plain,
! [SV483: b] :
( ( ~ ~ ( ~ ( graph_529870330at_nat @ ( produc1542243159_b_nat @ ( standa1329480013rule_b @ SV483 ) ) @ ( produc194497945_b_nat @ ( standa1329480013rule_b @ SV483 ) ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ ( standa1329480013rule_b @ SV483 ) ) ) ) )
| ( ( produc194497945_b_nat @ ( standa1329480013rule_b @ SV483 ) )
!= ( restrict_b_nat @ ( produc194497945_b_nat @ ( standa1329480013rule_b @ SV483 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[3034]) ).
thf(3101,plain,
! [SV483: b] :
( ( ~ ( finite_finite_nat @ ( labele460410879_b_nat @ ( produc194497945_b_nat @ ( standa1329480013rule_b @ SV483 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[3034]) ).
thf(3102,plain,
! [SV605: set_Pr1986765409at_nat,SV584: labeled_graph_b_nat,SV549: labeled_graph_b_nat,SV484: labeled_graph_b_nat] :
( ( ( graph_529870330at_nat @ SV484 @ SV549 @ ( id_on_nat @ ( labele460410879_b_nat @ SV484 ) ) )
= $false )
| ( ( ~ ( graph_529870330at_nat @ SV584 @ SV484 @ SV605 )
| ( graph_529870330at_nat @ SV584 @ SV549 @ SV605 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3035]) ).
thf(3103,plain,
! [SV552: produc1235635379_b_nat,SV488: produc1235635379_b_nat > $o] :
( ( ( SV488 @ ( produc951298923_b_nat @ ( sK65_SY775 @ SV552 @ SV488 ) @ ( sK73_SY882 @ SV552 @ SV488 ) ) )
= $false )
| ( ( SV488 @ SV552 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[3039]) ).
thf(3104,plain,
! [SV555: produc1478835367term_b,SV492: produc1478835367term_b] :
( ( ( ( produc854192515term_b @ SV492 )
!= ( produc854192515term_b @ SV555 ) )
= $true )
| ( ( ( produc1223098053term_b @ SV492 )
!= ( produc1223098053term_b @ SV555 ) )
= $true )
| ( ( SV492 = SV555 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3042]) ).
thf(3105,plain,
! [SV606: allegorical_term_b,SV588: allegorical_term_b,SV556: allegorical_term_b,SV493: allegorical_term_b] :
( ( ( ~ ( ( ( allegorical_A_Int_b @ SV493 @ SV556 )
= ( allegorical_A_Int_b @ SV588 @ SV606 ) )
| ~ ( ( SV493 != SV588 )
| ( SV556 != SV606 ) ) ) )
= $true )
| ( ( ~ ( ( ( allegorical_A_Int_b @ SV493 @ SV556 )
!= ( allegorical_A_Int_b @ SV588 @ SV606 ) )
| ~ ~ ( ( SV493 != SV588 )
| ( SV556 != SV606 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3043]) ).
thf(3106,plain,
! [SV494: set_Pr9961929at_nat,SV557: set_Pr9961929at_nat] :
( ( ( finite1987068434at_nat @ SV557 )
= $false )
| ( ( finite1987068434at_nat @ SV494 )
= $true )
| ( ( ord_le910748009at_nat @ SV494 @ SV557 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3045]) ).
thf(3107,plain,
! [SV607: allegorical_term_b,SV589: allegorical_term_b,SV559: allegorical_term_b,SV496: allegorical_term_b] :
( ( ( ~ ( ( ( produc1990145943term_b @ SV496 @ SV559 )
= ( produc1990145943term_b @ SV589 @ SV607 ) )
| ~ ( ( SV496 != SV589 )
| ( SV559 != SV607 ) ) ) )
= $true )
| ( ( ~ ( ( ( produc1990145943term_b @ SV496 @ SV559 )
!= ( produc1990145943term_b @ SV589 @ SV607 ) )
| ~ ~ ( ( SV496 != SV589 )
| ( SV559 != SV607 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3046]) ).
thf(3108,plain,
! [SV561: produc1478835367term_b,SV498: produc1478835367term_b > $o] :
( ( ( SV498 @ ( produc1990145943term_b @ ( sK66_SY794 @ SV561 @ SV498 ) @ ( sK74_SY883 @ SV561 @ SV498 ) ) )
= $false )
| ( ( SV498 @ SV561 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[3049]) ).
thf(3109,plain,
! [SV409: labeled_graph_b_nat] :
( ( ( ~ ( graph_529870330at_nat @ SV409 @ SV409 @ ( id_on_nat @ ( labele460410879_b_nat @ SV409 ) ) ) )
= $false )
| ( ( graph_529870330at_nat @ SV409 @ SV409 @ ( id_on_nat @ ( labele460410879_b_nat @ SV409 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3050]) ).
thf(3110,plain,
! [SV409: labeled_graph_b_nat] :
( ( ( SV409
!= ( restrict_b_nat @ SV409 ) )
= $false )
| ( ( graph_529870330at_nat @ SV409 @ SV409 @ ( id_on_nat @ ( labele460410879_b_nat @ SV409 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3050]) ).
thf(3111,plain,
! [SV409: labeled_graph_b_nat] :
( ( ( ~ ( graph_529870330at_nat @ SV409 @ SV409 @ ( id_on_nat @ ( labele460410879_b_nat @ SV409 ) ) ) )
= $false )
| ( ( SV409
= ( restrict_b_nat @ SV409 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3051]) ).
thf(3112,plain,
! [SV409: labeled_graph_b_nat] :
( ( ( SV409
!= ( restrict_b_nat @ SV409 ) )
= $false )
| ( ( SV409
= ( restrict_b_nat @ SV409 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3051]) ).
thf(3113,plain,
! [SV410: labeled_graph_b_nat] :
( ( ( ~ ( graph_529870330at_nat @ SV410 @ ( restrict_b_nat @ SV410 ) @ ( id_on_nat @ ( labele460410879_b_nat @ SV410 ) ) ) )
= $false )
| ( ( graph_529870330at_nat @ SV410 @ ( restrict_b_nat @ SV410 ) @ ( id_on_nat @ ( labele460410879_b_nat @ SV410 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3052]) ).
thf(3114,plain,
! [SV410: labeled_graph_b_nat] :
( ( ( SV410
!= ( restrict_b_nat @ SV410 ) )
= $false )
| ( ( graph_529870330at_nat @ SV410 @ ( restrict_b_nat @ SV410 ) @ ( id_on_nat @ ( labele460410879_b_nat @ SV410 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3052]) ).
thf(3115,plain,
! [SV410: labeled_graph_b_nat] :
( ( ( ~ ( graph_529870330at_nat @ SV410 @ ( restrict_b_nat @ SV410 ) @ ( id_on_nat @ ( labele460410879_b_nat @ SV410 ) ) ) )
= $false )
| ( ( SV410
= ( restrict_b_nat @ SV410 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3053]) ).
thf(3116,plain,
! [SV410: labeled_graph_b_nat] :
( ( ( SV410
!= ( restrict_b_nat @ SV410 ) )
= $false )
| ( ( SV410
= ( restrict_b_nat @ SV410 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3053]) ).
thf(3117,plain,
! [SV506: set_Pr9961929at_nat,SV434: set_Pr9961929at_nat] :
( ( ( finite1987068434at_nat @ SV434 )
= $true )
| ( ( ~ ( finite1987068434at_nat @ SV506 ) )
= $true )
| ( ( ord_le910748009at_nat @ SV434 @ SV506 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3054]) ).
thf(3118,plain,
! [SV507: labeled_graph_b_nat,SV435: labeled_graph_b_nat > $o,SV591: labeled_graph_b_nat,SV562: labeled_graph_b_nat > $o] :
( ( ( ~ ( SV562 @ SV591 ) )
= $true )
| ( ( ~ ( ~ ( SV435 @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ SV507 @ SV591 ) ) )
| ~ ( SV562 @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ SV507 @ SV591 ) ) ) ) )
= $true )
| ( ( SV435 @ SV507 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3055]) ).
thf(3119,plain,
! [SV592: produc1235635379_b_nat,SV508: produc1235635379_b_nat] :
( ( ( ( SV508 = SV592 )
| ~ ( ( ( produc1542243159_b_nat @ SV508 )
!= ( produc1542243159_b_nat @ SV592 ) )
| ( ( produc194497945_b_nat @ SV508 )
!= ( produc194497945_b_nat @ SV592 ) ) ) )
= $false )
| ( ( ~ ( ( SV508 != SV592 )
| ~ ~ ( ( ( produc1542243159_b_nat @ SV508 )
!= ( produc1542243159_b_nat @ SV592 ) )
| ( ( produc194497945_b_nat @ SV508 )
!= ( produc194497945_b_nat @ SV592 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3056]) ).
thf(3120,plain,
! [SV564: set_Pr551076371_b_nat,SV437: labeled_graph_b_nat,SV509: labeled_graph_b_nat,SV593: labeled_graph_b_nat] :
( ( ( SV593 != SV509 )
= $true )
| ( ( member963855452_b_nat @ ( produc951298923_b_nat @ SV437 @ SV593 ) @ SV564 )
= $true )
| ( ( member963855452_b_nat @ ( produc951298923_b_nat @ SV437 @ SV509 ) @ SV564 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3057]) ).
thf(3121,plain,
! [SV439: produc1235635379_b_nat] :
( ( SV439
= ( produc951298923_b_nat @ ( sK57_SY680 @ SV439 ) @ ( sK67_SY861 @ SV439 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[3058]) ).
thf(3122,plain,
! [SV594: labeled_graph_b_nat,SV511: labeled_graph_b_nat,SV566: labeled_graph_b_nat,SV441: labeled_graph_b_nat] :
( ( ( ( SV441 != SV566 )
| ( SV511 != SV594 ) )
= $false )
| ( ( ( produc951298923_b_nat @ SV441 @ SV511 )
= ( produc951298923_b_nat @ SV566 @ SV594 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3059]) ).
thf(3123,plain,
! [SV512: produc1235635379_b_nat,SV442: labeled_graph_b_nat] :
( ( ( ( SV442
!= ( produc1542243159_b_nat @ SV512 ) )
| ~ ~ ! [SY805: labeled_graph_b_nat] :
( SV512
!= ( produc951298923_b_nat @ SV442 @ SY805 ) ) )
= $false )
| ( ( SV442
= ( produc1542243159_b_nat @ SV512 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3060]) ).
thf(3124,plain,
! [SV442: labeled_graph_b_nat,SV512: produc1235635379_b_nat] :
( ( ( ! [SY805: labeled_graph_b_nat] :
( SV512
!= ( produc951298923_b_nat @ SV442 @ SY805 ) ) )
= $true )
| ( ( ~ ( ( SV442
!= ( produc1542243159_b_nat @ SV512 ) )
| ~ ~ ! [SY805: labeled_graph_b_nat] :
( SV512
!= ( produc951298923_b_nat @ SV442 @ SY805 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3061]) ).
thf(3125,plain,
! [SV608: set_Pr1986765409at_nat,SV595: labeled_graph_b_nat,SV567: set_Pr1986765409at_nat,SV515: labeled_graph_b_nat,SV445: labeled_graph_b_nat] :
( ( ( graph_529870330at_nat @ SV445 @ SV515 @ SV567 )
= $false )
| ( ( ~ ( graph_529870330at_nat @ SV515 @ SV595 @ SV608 )
| ( graph_529870330at_nat @ SV445 @ SV595 @ ( relcomp_nat_nat_nat @ SV567 @ SV608 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3063]) ).
thf(3126,plain,
! [SV516: labeled_graph_b_nat,SV446: labeled_graph_b_nat] :
( ( ( ( labeled_edges_b_nat @ SV446 )
= ( labeled_edges_b_nat @ SV516 ) )
= $false )
| ( ( ( labele460410879_b_nat @ SV446 )
!= ( labele460410879_b_nat @ SV516 ) )
= $true )
| ( ( SV446 = SV516 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3064]) ).
thf(3127,plain,
! [SV518: produc1478835367term_b,SV448: allegorical_term_b] :
( ( ( ( SV448
!= ( produc854192515term_b @ SV518 ) )
| ~ ~ ! [SY811: allegorical_term_b] :
( SV518
!= ( produc1990145943term_b @ SV448 @ SY811 ) ) )
= $false )
| ( ( SV448
= ( produc854192515term_b @ SV518 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3066]) ).
thf(3128,plain,
! [SV448: allegorical_term_b,SV518: produc1478835367term_b] :
( ( ( ! [SY811: allegorical_term_b] :
( SV518
!= ( produc1990145943term_b @ SV448 @ SY811 ) ) )
= $true )
| ( ( ~ ( ( SV448
!= ( produc854192515term_b @ SV518 ) )
| ~ ~ ! [SY811: allegorical_term_b] :
( SV518
!= ( produc1990145943term_b @ SV448 @ SY811 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3067]) ).
thf(3129,plain,
! [SV519: produc1235635379_b_nat,SV449: labeled_graph_b_nat > labeled_graph_b_nat > $o] :
( ( ( ~ ( SV449 @ ( sK75_SY884 @ SV519 @ SV449 ) @ ( sK69_SY702 @ SV519 @ SV449 ) ) )
= $false )
| ( ( SV449 @ ( produc194497945_b_nat @ SV519 ) @ ( produc1542243159_b_nat @ SV519 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[3068]) ).
thf(3130,plain,
! [SV596: allegorical_term_b,SV520: allegorical_term_b,SV568: allegorical_term_b,SV451: allegorical_term_b] :
( ( ( ( SV451 != SV568 )
| ( SV520 != SV596 ) )
= $false )
| ( ( ( produc1990145943term_b @ SV451 @ SV520 )
= ( produc1990145943term_b @ SV568 @ SV596 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3069]) ).
thf(3131,plain,
! [SV452: allegorical_term_b > allegorical_term_b > $o,SV569: allegorical_term_b,SV521: allegorical_term_b,SV597: produc1478835367term_b] :
( ( ( SV597
!= ( produc1990145943term_b @ SV521 @ SV569 ) )
= $true )
| ( ( SV452 @ ( produc854192515term_b @ SV597 ) @ ( produc1223098053term_b @ SV597 ) )
= $true )
| ( ( SV452 @ SV521 @ SV569 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3070]) ).
thf(3132,plain,
! [SV598: labeled_graph_b_nat,SV570: labeled_graph_b_nat,SV522: labeled_graph_b_nat,SV453: labeled_graph_b_nat] :
( ( ( ( ( produc951298923_b_nat @ SV453 @ SV522 )
= ( produc951298923_b_nat @ SV570 @ SV598 ) )
| ~ ( ( SV453 != SV570 )
| ( SV522 != SV598 ) ) )
= $false )
| ( ( ~ ( ( ( produc951298923_b_nat @ SV453 @ SV522 )
!= ( produc951298923_b_nat @ SV570 @ SV598 ) )
| ~ ~ ( ( SV453 != SV570 )
| ( SV522 != SV598 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3071]) ).
thf(3133,plain,
! [SV571: set_Pr1163220871term_b,SV454: allegorical_term_b,SV523: allegorical_term_b,SV599: allegorical_term_b] :
( ( ( SV599 != SV523 )
= $true )
| ( ( member516522448term_b @ ( produc1990145943term_b @ SV454 @ SV599 ) @ SV571 )
= $true )
| ( ( member516522448term_b @ ( produc1990145943term_b @ SV454 @ SV523 ) @ SV571 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3072]) ).
thf(3134,plain,
! [SV524: labeled_graph_b_nat,SV455: labeled_graph_b_nat] :
( ( ( ~ ( graph_529870330at_nat @ SV455 @ SV524 @ ( id_on_nat @ ( labele460410879_b_nat @ SV455 ) ) )
| ~ ~ ( ~ ~ ( ( SV455
!= ( restrict_b_nat @ SV455 ) )
| ( SV524
!= ( restrict_b_nat @ SV524 ) ) )
| ( ( graph_union_b_nat @ SV455 @ SV524 )
!= SV524 ) ) )
= $false )
| ( ( graph_529870330at_nat @ SV455 @ SV524 @ ( id_on_nat @ ( labele460410879_b_nat @ SV455 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3073]) ).
thf(3135,plain,
! [SV524: labeled_graph_b_nat,SV455: labeled_graph_b_nat] :
( ( ( ~ ~ ( ( SV455
!= ( restrict_b_nat @ SV455 ) )
| ( SV524
!= ( restrict_b_nat @ SV524 ) ) )
| ( ( graph_union_b_nat @ SV455 @ SV524 )
!= SV524 ) )
= $true )
| ( ( ~ ( ~ ( graph_529870330at_nat @ SV455 @ SV524 @ ( id_on_nat @ ( labele460410879_b_nat @ SV455 ) ) )
| ~ ~ ( ~ ~ ( ( SV455
!= ( restrict_b_nat @ SV455 ) )
| ( SV524
!= ( restrict_b_nat @ SV524 ) ) )
| ( ( graph_union_b_nat @ SV455 @ SV524 )
!= SV524 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3074]) ).
thf(3136,plain,
! [SV527: set_nat,SV458: set_nat] :
( ( ( finite_finite_nat @ SV458 )
= $true )
| ( ( ~ ( finite_finite_nat @ SV527 ) )
= $true )
| ( ( ord_less_eq_set_nat @ SV458 @ SV527 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3077]) ).
thf(3137,plain,
! [SV460: b] :
( ( ~ ( ~ ( graph_529870330at_nat @ ( produc1542243159_b_nat @ ( standa1360217389rule_b @ SV460 ) ) @ ( produc194497945_b_nat @ ( standa1360217389rule_b @ SV460 ) ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ ( standa1360217389rule_b @ SV460 ) ) ) ) )
| ( ( produc194497945_b_nat @ ( standa1360217389rule_b @ SV460 ) )
!= ( restrict_b_nat @ ( produc194497945_b_nat @ ( standa1360217389rule_b @ SV460 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[3078]) ).
thf(3138,plain,
! [SV460: b] :
( ( finite_finite_nat @ ( labele460410879_b_nat @ ( produc194497945_b_nat @ ( standa1360217389rule_b @ SV460 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[3079]) ).
thf(3139,plain,
! [SV529: produc1235635379_b_nat,SV462: labeled_graph_b_nat] :
( ( ( ( SV462
!= ( produc194497945_b_nat @ SV529 ) )
| ~ ~ ! [SY823: labeled_graph_b_nat] :
( SV529
!= ( produc951298923_b_nat @ SY823 @ SV462 ) ) )
= $false )
| ( ( SV462
= ( produc194497945_b_nat @ SV529 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3080]) ).
thf(3140,plain,
! [SV462: labeled_graph_b_nat,SV529: produc1235635379_b_nat] :
( ( ( ! [SY823: labeled_graph_b_nat] :
( SV529
!= ( produc951298923_b_nat @ SY823 @ SV462 ) ) )
= $true )
| ( ( ~ ( ( SV462
!= ( produc194497945_b_nat @ SV529 ) )
| ~ ~ ! [SY823: labeled_graph_b_nat] :
( SV529
!= ( produc951298923_b_nat @ SY823 @ SV462 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3081]) ).
thf(3141,plain,
! [SV464: labeled_graph_b_nat,SV573: labeled_graph_b_nat,SV531: labeled_graph_b_nat] :
( ( ( graph_529870330at_nat @ SV531 @ SV573 @ ( id_on_nat @ ( labele460410879_b_nat @ SV531 ) ) )
= $false )
| ( ( graph_529870330at_nat @ SV464 @ SV573 @ ( id_on_nat @ ( labele460410879_b_nat @ SV464 ) ) )
= $true )
| ( ( graph_529870330at_nat @ SV464 @ SV531 @ ( id_on_nat @ ( labele460410879_b_nat @ SV464 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3083]) ).
thf(3142,plain,
! [SV532: allegorical_term_b,SV465: allegorical_term_b] :
( ( ~ ~ ( ~ ( graph_529870330at_nat @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV465 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV465 @ SV532 ) ) ) ) @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV465 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV465 @ SV532 ) ) ) ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV465 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV465 @ SV532 ) ) ) ) ) ) )
| ( ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV465 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV465 @ SV532 ) ) ) )
!= ( restrict_b_nat @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV465 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV465 @ SV532 ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[3084]) ).
thf(3143,plain,
! [SV532: allegorical_term_b,SV465: allegorical_term_b] :
( ( ~ ( finite_finite_nat @ ( labele460410879_b_nat @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV465 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV465 @ SV532 ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[3084]) ).
thf(3144,plain,
! [SV600: produc1478835367term_b,SV533: produc1478835367term_b] :
( ( ( ( SV533 = SV600 )
| ~ ( ( ( produc854192515term_b @ SV533 )
!= ( produc854192515term_b @ SV600 ) )
| ( ( produc1223098053term_b @ SV533 )
!= ( produc1223098053term_b @ SV600 ) ) ) )
= $false )
| ( ( ~ ( ( SV533 != SV600 )
| ~ ~ ( ( ( produc854192515term_b @ SV533 )
!= ( produc854192515term_b @ SV600 ) )
| ( ( produc1223098053term_b @ SV533 )
!= ( produc1223098053term_b @ SV600 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3085]) ).
thf(3145,plain,
! [SV468: produc1478835367term_b] :
( ( SV468
= ( produc1990145943term_b @ ( sK59_SY734 @ SV468 ) @ ( sK70_SY870 @ SV468 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[3086]) ).
thf(3146,plain,
! [SV601: allegorical_term_b,SV576: allegorical_term_b,SV535: allegorical_term_b,SV469: allegorical_term_b] :
( ( ( ( ( produc1990145943term_b @ SV469 @ SV535 )
= ( produc1990145943term_b @ SV576 @ SV601 ) )
| ~ ( ( SV469 != SV576 )
| ( SV535 != SV601 ) ) )
= $false )
| ( ( ~ ( ( ( produc1990145943term_b @ SV469 @ SV535 )
!= ( produc1990145943term_b @ SV576 @ SV601 ) )
| ~ ~ ( ( SV469 != SV576 )
| ( SV535 != SV601 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3087]) ).
thf(3147,plain,
! [SV536: produc1478835367term_b,SV470: allegorical_term_b] :
( ( ( ( SV470
!= ( produc1223098053term_b @ SV536 ) )
| ~ ~ ! [SY830: allegorical_term_b] :
( SV536
!= ( produc1990145943term_b @ SY830 @ SV470 ) ) )
= $false )
| ( ( SV470
= ( produc1223098053term_b @ SV536 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3088]) ).
thf(3148,plain,
! [SV470: allegorical_term_b,SV536: produc1478835367term_b] :
( ( ( ! [SY830: allegorical_term_b] :
( SV536
!= ( produc1990145943term_b @ SY830 @ SV470 ) ) )
= $true )
| ( ( ~ ( ( SV470
!= ( produc1223098053term_b @ SV536 ) )
| ~ ~ ! [SY830: allegorical_term_b] :
( SV536
!= ( produc1990145943term_b @ SY830 @ SV470 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3089]) ).
thf(3149,plain,
! [SV539: produc1235635379_b_nat,SV473: produc1235635379_b_nat] :
( ( ( ( produc1542243159_b_nat @ SV473 )
= ( produc1542243159_b_nat @ SV539 ) )
= $false )
| ( ( ( produc194497945_b_nat @ SV473 )
!= ( produc194497945_b_nat @ SV539 ) )
= $true )
| ( ( SV473 = SV539 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3091]) ).
thf(3150,plain,
! [SV602: labeled_graph_b_nat,SV579: labeled_graph_b_nat,SV541: labeled_graph_b_nat,SV475: labeled_graph_b_nat] :
( ( ( ( ( produc951298923_b_nat @ SV475 @ SV541 )
= ( produc951298923_b_nat @ SV579 @ SV602 ) )
| ~ ( ( SV475 != SV579 )
| ( SV541 != SV602 ) ) )
= $false )
| ( ( ~ ( ( ( produc951298923_b_nat @ SV475 @ SV541 )
!= ( produc951298923_b_nat @ SV579 @ SV602 ) )
| ~ ~ ( ( SV475 != SV579 )
| ( SV541 != SV602 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3092]) ).
thf(3151,plain,
! [SV542: allegorical_term_b,SV476: allegorical_term_b > $o,SV603: allegorical_term_b,SV580: allegorical_term_b > $o] :
( ( ( ~ ( SV580 @ SV603 ) )
= $true )
| ( ( ~ ( ~ ( SV476 @ ( produc854192515term_b @ ( produc1990145943term_b @ SV542 @ SV603 ) ) )
| ~ ( SV580 @ ( produc1223098053term_b @ ( produc1990145943term_b @ SV542 @ SV603 ) ) ) ) )
= $true )
| ( ( SV476 @ SV542 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3093]) ).
thf(3152,plain,
! [SV477: labeled_graph_b_nat > labeled_graph_b_nat > $o,SV581: labeled_graph_b_nat,SV543: labeled_graph_b_nat,SV604: produc1235635379_b_nat] :
( ( ( SV604
!= ( produc951298923_b_nat @ SV543 @ SV581 ) )
= $true )
| ( ( SV477 @ ( produc1542243159_b_nat @ SV604 ) @ ( produc194497945_b_nat @ SV604 ) )
= $true )
| ( ( SV477 @ SV543 @ SV581 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3094]) ).
thf(3153,plain,
( ( ~ ( graph_529870330at_nat @ ( produc1542243159_b_nat @ standa879863266rule_b ) @ ( produc194497945_b_nat @ standa879863266rule_b ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ standa879863266rule_b ) ) ) )
| ( ( produc194497945_b_nat @ standa879863266rule_b )
!= ( restrict_b_nat @ ( produc194497945_b_nat @ standa879863266rule_b ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[3095]) ).
thf(3154,plain,
! [SV548: produc1478835367term_b,SV482: allegorical_term_b > allegorical_term_b > $o] :
( ( ( ~ ( SV482 @ ( sK76_SY885 @ SV548 @ SV482 ) @ ( sK72_SY765 @ SV548 @ SV482 ) ) )
= $false )
| ( ( SV482 @ ( produc1223098053term_b @ SV548 ) @ ( produc854192515term_b @ SV548 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[3099]) ).
thf(3155,plain,
! [SV483: b] :
( ( ~ ( ~ ( graph_529870330at_nat @ ( produc1542243159_b_nat @ ( standa1329480013rule_b @ SV483 ) ) @ ( produc194497945_b_nat @ ( standa1329480013rule_b @ SV483 ) ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ ( standa1329480013rule_b @ SV483 ) ) ) ) )
| ( ( produc194497945_b_nat @ ( standa1329480013rule_b @ SV483 ) )
!= ( restrict_b_nat @ ( produc194497945_b_nat @ ( standa1329480013rule_b @ SV483 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[3100]) ).
thf(3156,plain,
! [SV483: b] :
( ( finite_finite_nat @ ( labele460410879_b_nat @ ( produc194497945_b_nat @ ( standa1329480013rule_b @ SV483 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[3101]) ).
thf(3157,plain,
! [SV549: labeled_graph_b_nat,SV605: set_Pr1986765409at_nat,SV484: labeled_graph_b_nat,SV584: labeled_graph_b_nat] :
( ( ( ~ ( graph_529870330at_nat @ SV584 @ SV484 @ SV605 ) )
= $true )
| ( ( graph_529870330at_nat @ SV584 @ SV549 @ SV605 )
= $true )
| ( ( graph_529870330at_nat @ SV484 @ SV549 @ ( id_on_nat @ ( labele460410879_b_nat @ SV484 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3102]) ).
thf(3158,plain,
! [SV555: produc1478835367term_b,SV492: produc1478835367term_b] :
( ( ( ( produc854192515term_b @ SV492 )
= ( produc854192515term_b @ SV555 ) )
= $false )
| ( ( ( produc1223098053term_b @ SV492 )
!= ( produc1223098053term_b @ SV555 ) )
= $true )
| ( ( SV492 = SV555 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3104]) ).
thf(3159,plain,
! [SV606: allegorical_term_b,SV588: allegorical_term_b,SV556: allegorical_term_b,SV493: allegorical_term_b] :
( ( ( ( ( allegorical_A_Int_b @ SV493 @ SV556 )
= ( allegorical_A_Int_b @ SV588 @ SV606 ) )
| ~ ( ( SV493 != SV588 )
| ( SV556 != SV606 ) ) )
= $false )
| ( ( ~ ( ( ( allegorical_A_Int_b @ SV493 @ SV556 )
!= ( allegorical_A_Int_b @ SV588 @ SV606 ) )
| ~ ~ ( ( SV493 != SV588 )
| ( SV556 != SV606 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3105]) ).
thf(3160,plain,
! [SV607: allegorical_term_b,SV589: allegorical_term_b,SV559: allegorical_term_b,SV496: allegorical_term_b] :
( ( ( ( ( produc1990145943term_b @ SV496 @ SV559 )
= ( produc1990145943term_b @ SV589 @ SV607 ) )
| ~ ( ( SV496 != SV589 )
| ( SV559 != SV607 ) ) )
= $false )
| ( ( ~ ( ( ( produc1990145943term_b @ SV496 @ SV559 )
!= ( produc1990145943term_b @ SV589 @ SV607 ) )
| ~ ~ ( ( SV496 != SV589 )
| ( SV559 != SV607 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3107]) ).
thf(3161,plain,
! [SV409: labeled_graph_b_nat] :
( ( ( graph_529870330at_nat @ SV409 @ SV409 @ ( id_on_nat @ ( labele460410879_b_nat @ SV409 ) ) )
= $true )
| ( ( graph_529870330at_nat @ SV409 @ SV409 @ ( id_on_nat @ ( labele460410879_b_nat @ SV409 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3109]) ).
thf(3162,plain,
! [SV409: labeled_graph_b_nat] :
( ( ( SV409
= ( restrict_b_nat @ SV409 ) )
= $true )
| ( ( graph_529870330at_nat @ SV409 @ SV409 @ ( id_on_nat @ ( labele460410879_b_nat @ SV409 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3110]) ).
thf(3163,plain,
! [SV409: labeled_graph_b_nat] :
( ( ( graph_529870330at_nat @ SV409 @ SV409 @ ( id_on_nat @ ( labele460410879_b_nat @ SV409 ) ) )
= $true )
| ( ( SV409
= ( restrict_b_nat @ SV409 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3111]) ).
thf(3164,plain,
! [SV409: labeled_graph_b_nat] :
( ( ( SV409
= ( restrict_b_nat @ SV409 ) )
= $true )
| ( ( SV409
= ( restrict_b_nat @ SV409 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3112]) ).
thf(3165,plain,
! [SV410: labeled_graph_b_nat] :
( ( ( graph_529870330at_nat @ SV410 @ ( restrict_b_nat @ SV410 ) @ ( id_on_nat @ ( labele460410879_b_nat @ SV410 ) ) )
= $true )
| ( ( graph_529870330at_nat @ SV410 @ ( restrict_b_nat @ SV410 ) @ ( id_on_nat @ ( labele460410879_b_nat @ SV410 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3113]) ).
thf(3166,plain,
! [SV410: labeled_graph_b_nat] :
( ( ( SV410
= ( restrict_b_nat @ SV410 ) )
= $true )
| ( ( graph_529870330at_nat @ SV410 @ ( restrict_b_nat @ SV410 ) @ ( id_on_nat @ ( labele460410879_b_nat @ SV410 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3114]) ).
thf(3167,plain,
! [SV410: labeled_graph_b_nat] :
( ( ( graph_529870330at_nat @ SV410 @ ( restrict_b_nat @ SV410 ) @ ( id_on_nat @ ( labele460410879_b_nat @ SV410 ) ) )
= $true )
| ( ( SV410
= ( restrict_b_nat @ SV410 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3115]) ).
thf(3168,plain,
! [SV410: labeled_graph_b_nat] :
( ( ( SV410
= ( restrict_b_nat @ SV410 ) )
= $true )
| ( ( SV410
= ( restrict_b_nat @ SV410 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3116]) ).
thf(3169,plain,
! [SV434: set_Pr9961929at_nat,SV506: set_Pr9961929at_nat] :
( ( ( finite1987068434at_nat @ SV506 )
= $false )
| ( ( finite1987068434at_nat @ SV434 )
= $true )
| ( ( ord_le910748009at_nat @ SV434 @ SV506 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3117]) ).
thf(3170,plain,
! [SV507: labeled_graph_b_nat,SV435: labeled_graph_b_nat > $o,SV591: labeled_graph_b_nat,SV562: labeled_graph_b_nat > $o] :
( ( ( SV562 @ SV591 )
= $false )
| ( ( ~ ( ~ ( SV435 @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ SV507 @ SV591 ) ) )
| ~ ( SV562 @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ SV507 @ SV591 ) ) ) ) )
= $true )
| ( ( SV435 @ SV507 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3118]) ).
thf(3171,plain,
! [SV592: produc1235635379_b_nat,SV508: produc1235635379_b_nat] :
( ( ( SV508 = SV592 )
= $false )
| ( ( ~ ( ( SV508 != SV592 )
| ~ ~ ( ( ( produc1542243159_b_nat @ SV508 )
!= ( produc1542243159_b_nat @ SV592 ) )
| ( ( produc194497945_b_nat @ SV508 )
!= ( produc194497945_b_nat @ SV592 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3119]) ).
thf(3172,plain,
! [SV592: produc1235635379_b_nat,SV508: produc1235635379_b_nat] :
( ( ( ~ ( ( ( produc1542243159_b_nat @ SV508 )
!= ( produc1542243159_b_nat @ SV592 ) )
| ( ( produc194497945_b_nat @ SV508 )
!= ( produc194497945_b_nat @ SV592 ) ) ) )
= $false )
| ( ( ~ ( ( SV508 != SV592 )
| ~ ~ ( ( ( produc1542243159_b_nat @ SV508 )
!= ( produc1542243159_b_nat @ SV592 ) )
| ( ( produc194497945_b_nat @ SV508 )
!= ( produc194497945_b_nat @ SV592 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3119]) ).
thf(3173,plain,
! [SV564: set_Pr551076371_b_nat,SV437: labeled_graph_b_nat,SV509: labeled_graph_b_nat,SV593: labeled_graph_b_nat] :
( ( ( SV593 = SV509 )
= $false )
| ( ( member963855452_b_nat @ ( produc951298923_b_nat @ SV437 @ SV593 ) @ SV564 )
= $true )
| ( ( member963855452_b_nat @ ( produc951298923_b_nat @ SV437 @ SV509 ) @ SV564 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3120]) ).
thf(3174,plain,
! [SV594: labeled_graph_b_nat,SV511: labeled_graph_b_nat,SV566: labeled_graph_b_nat,SV441: labeled_graph_b_nat] :
( ( ( SV441 != SV566 )
= $false )
| ( ( ( produc951298923_b_nat @ SV441 @ SV511 )
= ( produc951298923_b_nat @ SV566 @ SV594 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3122]) ).
thf(3175,plain,
! [SV566: labeled_graph_b_nat,SV441: labeled_graph_b_nat,SV594: labeled_graph_b_nat,SV511: labeled_graph_b_nat] :
( ( ( SV511 != SV594 )
= $false )
| ( ( ( produc951298923_b_nat @ SV441 @ SV511 )
= ( produc951298923_b_nat @ SV566 @ SV594 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3122]) ).
thf(3176,plain,
! [SV512: produc1235635379_b_nat,SV442: labeled_graph_b_nat] :
( ( ( SV442
!= ( produc1542243159_b_nat @ SV512 ) )
= $false )
| ( ( SV442
= ( produc1542243159_b_nat @ SV512 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3123]) ).
thf(3177,plain,
! [SV442: labeled_graph_b_nat,SV512: produc1235635379_b_nat] :
( ( ( ~ ~ ! [SY805: labeled_graph_b_nat] :
( SV512
!= ( produc951298923_b_nat @ SV442 @ SY805 ) ) )
= $false )
| ( ( SV442
= ( produc1542243159_b_nat @ SV512 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3123]) ).
thf(3178,plain,
! [SV609: labeled_graph_b_nat,SV442: labeled_graph_b_nat,SV512: produc1235635379_b_nat] :
( ( ( SV512
!= ( produc951298923_b_nat @ SV442 @ SV609 ) )
= $true )
| ( ( ~ ( ( SV442
!= ( produc1542243159_b_nat @ SV512 ) )
| ~ ~ ! [SY805: labeled_graph_b_nat] :
( SV512
!= ( produc951298923_b_nat @ SV442 @ SY805 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3124]) ).
thf(3179,plain,
! [SV567: set_Pr1986765409at_nat,SV445: labeled_graph_b_nat,SV608: set_Pr1986765409at_nat,SV595: labeled_graph_b_nat,SV515: labeled_graph_b_nat] :
( ( ( ~ ( graph_529870330at_nat @ SV515 @ SV595 @ SV608 ) )
= $true )
| ( ( graph_529870330at_nat @ SV445 @ SV595 @ ( relcomp_nat_nat_nat @ SV567 @ SV608 ) )
= $true )
| ( ( graph_529870330at_nat @ SV445 @ SV515 @ SV567 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3125]) ).
thf(3180,plain,
! [SV516: labeled_graph_b_nat,SV446: labeled_graph_b_nat] :
( ( ( ( labele460410879_b_nat @ SV446 )
= ( labele460410879_b_nat @ SV516 ) )
= $false )
| ( ( ( labeled_edges_b_nat @ SV446 )
= ( labeled_edges_b_nat @ SV516 ) )
= $false )
| ( ( SV446 = SV516 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3126]) ).
thf(3181,plain,
! [SV518: produc1478835367term_b,SV448: allegorical_term_b] :
( ( ( SV448
!= ( produc854192515term_b @ SV518 ) )
= $false )
| ( ( SV448
= ( produc854192515term_b @ SV518 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3127]) ).
thf(3182,plain,
! [SV448: allegorical_term_b,SV518: produc1478835367term_b] :
( ( ( ~ ~ ! [SY811: allegorical_term_b] :
( SV518
!= ( produc1990145943term_b @ SV448 @ SY811 ) ) )
= $false )
| ( ( SV448
= ( produc854192515term_b @ SV518 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3127]) ).
thf(3183,plain,
! [SV610: allegorical_term_b,SV448: allegorical_term_b,SV518: produc1478835367term_b] :
( ( ( SV518
!= ( produc1990145943term_b @ SV448 @ SV610 ) )
= $true )
| ( ( ~ ( ( SV448
!= ( produc854192515term_b @ SV518 ) )
| ~ ~ ! [SY811: allegorical_term_b] :
( SV518
!= ( produc1990145943term_b @ SV448 @ SY811 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3128]) ).
thf(3184,plain,
! [SV519: produc1235635379_b_nat,SV449: labeled_graph_b_nat > labeled_graph_b_nat > $o] :
( ( ( SV449 @ ( sK75_SY884 @ SV519 @ SV449 ) @ ( sK69_SY702 @ SV519 @ SV449 ) )
= $true )
| ( ( SV449 @ ( produc194497945_b_nat @ SV519 ) @ ( produc1542243159_b_nat @ SV519 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3129]) ).
thf(3185,plain,
! [SV596: allegorical_term_b,SV520: allegorical_term_b,SV568: allegorical_term_b,SV451: allegorical_term_b] :
( ( ( SV451 != SV568 )
= $false )
| ( ( ( produc1990145943term_b @ SV451 @ SV520 )
= ( produc1990145943term_b @ SV568 @ SV596 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3130]) ).
thf(3186,plain,
! [SV568: allegorical_term_b,SV451: allegorical_term_b,SV596: allegorical_term_b,SV520: allegorical_term_b] :
( ( ( SV520 != SV596 )
= $false )
| ( ( ( produc1990145943term_b @ SV451 @ SV520 )
= ( produc1990145943term_b @ SV568 @ SV596 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3130]) ).
thf(3187,plain,
! [SV452: allegorical_term_b > allegorical_term_b > $o,SV569: allegorical_term_b,SV521: allegorical_term_b,SV597: produc1478835367term_b] :
( ( ( SV597
= ( produc1990145943term_b @ SV521 @ SV569 ) )
= $false )
| ( ( SV452 @ ( produc854192515term_b @ SV597 ) @ ( produc1223098053term_b @ SV597 ) )
= $true )
| ( ( SV452 @ SV521 @ SV569 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3131]) ).
thf(3188,plain,
! [SV598: labeled_graph_b_nat,SV570: labeled_graph_b_nat,SV522: labeled_graph_b_nat,SV453: labeled_graph_b_nat] :
( ( ( ( produc951298923_b_nat @ SV453 @ SV522 )
= ( produc951298923_b_nat @ SV570 @ SV598 ) )
= $false )
| ( ( ~ ( ( ( produc951298923_b_nat @ SV453 @ SV522 )
!= ( produc951298923_b_nat @ SV570 @ SV598 ) )
| ~ ~ ( ( SV453 != SV570 )
| ( SV522 != SV598 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3132]) ).
thf(3189,plain,
! [SV598: labeled_graph_b_nat,SV522: labeled_graph_b_nat,SV570: labeled_graph_b_nat,SV453: labeled_graph_b_nat] :
( ( ( ~ ( ( SV453 != SV570 )
| ( SV522 != SV598 ) ) )
= $false )
| ( ( ~ ( ( ( produc951298923_b_nat @ SV453 @ SV522 )
!= ( produc951298923_b_nat @ SV570 @ SV598 ) )
| ~ ~ ( ( SV453 != SV570 )
| ( SV522 != SV598 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3132]) ).
thf(3190,plain,
! [SV571: set_Pr1163220871term_b,SV454: allegorical_term_b,SV523: allegorical_term_b,SV599: allegorical_term_b] :
( ( ( SV599 = SV523 )
= $false )
| ( ( member516522448term_b @ ( produc1990145943term_b @ SV454 @ SV599 ) @ SV571 )
= $true )
| ( ( member516522448term_b @ ( produc1990145943term_b @ SV454 @ SV523 ) @ SV571 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3133]) ).
thf(3191,plain,
! [SV524: labeled_graph_b_nat,SV455: labeled_graph_b_nat] :
( ( ( ~ ( graph_529870330at_nat @ SV455 @ SV524 @ ( id_on_nat @ ( labele460410879_b_nat @ SV455 ) ) ) )
= $false )
| ( ( graph_529870330at_nat @ SV455 @ SV524 @ ( id_on_nat @ ( labele460410879_b_nat @ SV455 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3134]) ).
thf(3192,plain,
! [SV524: labeled_graph_b_nat,SV455: labeled_graph_b_nat] :
( ( ( ~ ~ ( ~ ~ ( ( SV455
!= ( restrict_b_nat @ SV455 ) )
| ( SV524
!= ( restrict_b_nat @ SV524 ) ) )
| ( ( graph_union_b_nat @ SV455 @ SV524 )
!= SV524 ) ) )
= $false )
| ( ( graph_529870330at_nat @ SV455 @ SV524 @ ( id_on_nat @ ( labele460410879_b_nat @ SV455 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3134]) ).
thf(3193,plain,
! [SV524: labeled_graph_b_nat,SV455: labeled_graph_b_nat] :
( ( ( ~ ~ ( ( SV455
!= ( restrict_b_nat @ SV455 ) )
| ( SV524
!= ( restrict_b_nat @ SV524 ) ) ) )
= $true )
| ( ( ( graph_union_b_nat @ SV455 @ SV524 )
!= SV524 )
= $true )
| ( ( ~ ( ~ ( graph_529870330at_nat @ SV455 @ SV524 @ ( id_on_nat @ ( labele460410879_b_nat @ SV455 ) ) )
| ~ ~ ( ~ ~ ( ( SV455
!= ( restrict_b_nat @ SV455 ) )
| ( SV524
!= ( restrict_b_nat @ SV524 ) ) )
| ( ( graph_union_b_nat @ SV455 @ SV524 )
!= SV524 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3135]) ).
thf(3194,plain,
! [SV458: set_nat,SV527: set_nat] :
( ( ( finite_finite_nat @ SV527 )
= $false )
| ( ( finite_finite_nat @ SV458 )
= $true )
| ( ( ord_less_eq_set_nat @ SV458 @ SV527 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3136]) ).
thf(3195,plain,
! [SV460: b] :
( ( ~ ( graph_529870330at_nat @ ( produc1542243159_b_nat @ ( standa1360217389rule_b @ SV460 ) ) @ ( produc194497945_b_nat @ ( standa1360217389rule_b @ SV460 ) ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ ( standa1360217389rule_b @ SV460 ) ) ) ) )
| ( ( produc194497945_b_nat @ ( standa1360217389rule_b @ SV460 ) )
!= ( restrict_b_nat @ ( produc194497945_b_nat @ ( standa1360217389rule_b @ SV460 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[3137]) ).
thf(3196,plain,
! [SV529: produc1235635379_b_nat,SV462: labeled_graph_b_nat] :
( ( ( SV462
!= ( produc194497945_b_nat @ SV529 ) )
= $false )
| ( ( SV462
= ( produc194497945_b_nat @ SV529 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3139]) ).
thf(3197,plain,
! [SV462: labeled_graph_b_nat,SV529: produc1235635379_b_nat] :
( ( ( ~ ~ ! [SY823: labeled_graph_b_nat] :
( SV529
!= ( produc951298923_b_nat @ SY823 @ SV462 ) ) )
= $false )
| ( ( SV462
= ( produc194497945_b_nat @ SV529 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3139]) ).
thf(3198,plain,
! [SV462: labeled_graph_b_nat,SV611: labeled_graph_b_nat,SV529: produc1235635379_b_nat] :
( ( ( SV529
!= ( produc951298923_b_nat @ SV611 @ SV462 ) )
= $true )
| ( ( ~ ( ( SV462
!= ( produc194497945_b_nat @ SV529 ) )
| ~ ~ ! [SY823: labeled_graph_b_nat] :
( SV529
!= ( produc951298923_b_nat @ SY823 @ SV462 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3140]) ).
thf(3199,plain,
! [SV532: allegorical_term_b,SV465: allegorical_term_b] :
( ( ~ ( ~ ( graph_529870330at_nat @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV465 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV465 @ SV532 ) ) ) ) @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV465 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV465 @ SV532 ) ) ) ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV465 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV465 @ SV532 ) ) ) ) ) ) )
| ( ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV465 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV465 @ SV532 ) ) ) )
!= ( restrict_b_nat @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV465 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV465 @ SV532 ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[3142]) ).
thf(3200,plain,
! [SV532: allegorical_term_b,SV465: allegorical_term_b] :
( ( finite_finite_nat @ ( labele460410879_b_nat @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV465 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV465 @ SV532 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[3143]) ).
thf(3201,plain,
! [SV600: produc1478835367term_b,SV533: produc1478835367term_b] :
( ( ( SV533 = SV600 )
= $false )
| ( ( ~ ( ( SV533 != SV600 )
| ~ ~ ( ( ( produc854192515term_b @ SV533 )
!= ( produc854192515term_b @ SV600 ) )
| ( ( produc1223098053term_b @ SV533 )
!= ( produc1223098053term_b @ SV600 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3144]) ).
thf(3202,plain,
! [SV600: produc1478835367term_b,SV533: produc1478835367term_b] :
( ( ( ~ ( ( ( produc854192515term_b @ SV533 )
!= ( produc854192515term_b @ SV600 ) )
| ( ( produc1223098053term_b @ SV533 )
!= ( produc1223098053term_b @ SV600 ) ) ) )
= $false )
| ( ( ~ ( ( SV533 != SV600 )
| ~ ~ ( ( ( produc854192515term_b @ SV533 )
!= ( produc854192515term_b @ SV600 ) )
| ( ( produc1223098053term_b @ SV533 )
!= ( produc1223098053term_b @ SV600 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3144]) ).
thf(3203,plain,
! [SV601: allegorical_term_b,SV576: allegorical_term_b,SV535: allegorical_term_b,SV469: allegorical_term_b] :
( ( ( ( produc1990145943term_b @ SV469 @ SV535 )
= ( produc1990145943term_b @ SV576 @ SV601 ) )
= $false )
| ( ( ~ ( ( ( produc1990145943term_b @ SV469 @ SV535 )
!= ( produc1990145943term_b @ SV576 @ SV601 ) )
| ~ ~ ( ( SV469 != SV576 )
| ( SV535 != SV601 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3146]) ).
thf(3204,plain,
! [SV601: allegorical_term_b,SV535: allegorical_term_b,SV576: allegorical_term_b,SV469: allegorical_term_b] :
( ( ( ~ ( ( SV469 != SV576 )
| ( SV535 != SV601 ) ) )
= $false )
| ( ( ~ ( ( ( produc1990145943term_b @ SV469 @ SV535 )
!= ( produc1990145943term_b @ SV576 @ SV601 ) )
| ~ ~ ( ( SV469 != SV576 )
| ( SV535 != SV601 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3146]) ).
thf(3205,plain,
! [SV536: produc1478835367term_b,SV470: allegorical_term_b] :
( ( ( SV470
!= ( produc1223098053term_b @ SV536 ) )
= $false )
| ( ( SV470
= ( produc1223098053term_b @ SV536 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3147]) ).
thf(3206,plain,
! [SV470: allegorical_term_b,SV536: produc1478835367term_b] :
( ( ( ~ ~ ! [SY830: allegorical_term_b] :
( SV536
!= ( produc1990145943term_b @ SY830 @ SV470 ) ) )
= $false )
| ( ( SV470
= ( produc1223098053term_b @ SV536 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3147]) ).
thf(3207,plain,
! [SV470: allegorical_term_b,SV612: allegorical_term_b,SV536: produc1478835367term_b] :
( ( ( SV536
!= ( produc1990145943term_b @ SV612 @ SV470 ) )
= $true )
| ( ( ~ ( ( SV470
!= ( produc1223098053term_b @ SV536 ) )
| ~ ~ ! [SY830: allegorical_term_b] :
( SV536
!= ( produc1990145943term_b @ SY830 @ SV470 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3148]) ).
thf(3208,plain,
! [SV539: produc1235635379_b_nat,SV473: produc1235635379_b_nat] :
( ( ( ( produc194497945_b_nat @ SV473 )
= ( produc194497945_b_nat @ SV539 ) )
= $false )
| ( ( ( produc1542243159_b_nat @ SV473 )
= ( produc1542243159_b_nat @ SV539 ) )
= $false )
| ( ( SV473 = SV539 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3149]) ).
thf(3209,plain,
! [SV602: labeled_graph_b_nat,SV579: labeled_graph_b_nat,SV541: labeled_graph_b_nat,SV475: labeled_graph_b_nat] :
( ( ( ( produc951298923_b_nat @ SV475 @ SV541 )
= ( produc951298923_b_nat @ SV579 @ SV602 ) )
= $false )
| ( ( ~ ( ( ( produc951298923_b_nat @ SV475 @ SV541 )
!= ( produc951298923_b_nat @ SV579 @ SV602 ) )
| ~ ~ ( ( SV475 != SV579 )
| ( SV541 != SV602 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3150]) ).
thf(3210,plain,
! [SV602: labeled_graph_b_nat,SV541: labeled_graph_b_nat,SV579: labeled_graph_b_nat,SV475: labeled_graph_b_nat] :
( ( ( ~ ( ( SV475 != SV579 )
| ( SV541 != SV602 ) ) )
= $false )
| ( ( ~ ( ( ( produc951298923_b_nat @ SV475 @ SV541 )
!= ( produc951298923_b_nat @ SV579 @ SV602 ) )
| ~ ~ ( ( SV475 != SV579 )
| ( SV541 != SV602 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3150]) ).
thf(3211,plain,
! [SV542: allegorical_term_b,SV476: allegorical_term_b > $o,SV603: allegorical_term_b,SV580: allegorical_term_b > $o] :
( ( ( SV580 @ SV603 )
= $false )
| ( ( ~ ( ~ ( SV476 @ ( produc854192515term_b @ ( produc1990145943term_b @ SV542 @ SV603 ) ) )
| ~ ( SV580 @ ( produc1223098053term_b @ ( produc1990145943term_b @ SV542 @ SV603 ) ) ) ) )
= $true )
| ( ( SV476 @ SV542 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3151]) ).
thf(3212,plain,
! [SV477: labeled_graph_b_nat > labeled_graph_b_nat > $o,SV581: labeled_graph_b_nat,SV543: labeled_graph_b_nat,SV604: produc1235635379_b_nat] :
( ( ( SV604
= ( produc951298923_b_nat @ SV543 @ SV581 ) )
= $false )
| ( ( SV477 @ ( produc1542243159_b_nat @ SV604 ) @ ( produc194497945_b_nat @ SV604 ) )
= $true )
| ( ( SV477 @ SV543 @ SV581 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3152]) ).
thf(3213,plain,
( ( ~ ( graph_529870330at_nat @ ( produc1542243159_b_nat @ standa879863266rule_b ) @ ( produc194497945_b_nat @ standa879863266rule_b ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ standa879863266rule_b ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[3153]) ).
thf(3214,plain,
( ( ( produc194497945_b_nat @ standa879863266rule_b )
!= ( restrict_b_nat @ ( produc194497945_b_nat @ standa879863266rule_b ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[3153]) ).
thf(3215,plain,
! [SV548: produc1478835367term_b,SV482: allegorical_term_b > allegorical_term_b > $o] :
( ( ( SV482 @ ( sK76_SY885 @ SV548 @ SV482 ) @ ( sK72_SY765 @ SV548 @ SV482 ) )
= $true )
| ( ( SV482 @ ( produc1223098053term_b @ SV548 ) @ ( produc854192515term_b @ SV548 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3154]) ).
thf(3216,plain,
! [SV483: b] :
( ( ~ ( graph_529870330at_nat @ ( produc1542243159_b_nat @ ( standa1329480013rule_b @ SV483 ) ) @ ( produc194497945_b_nat @ ( standa1329480013rule_b @ SV483 ) ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ ( standa1329480013rule_b @ SV483 ) ) ) ) )
| ( ( produc194497945_b_nat @ ( standa1329480013rule_b @ SV483 ) )
!= ( restrict_b_nat @ ( produc194497945_b_nat @ ( standa1329480013rule_b @ SV483 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[3155]) ).
thf(3217,plain,
! [SV549: labeled_graph_b_nat,SV605: set_Pr1986765409at_nat,SV484: labeled_graph_b_nat,SV584: labeled_graph_b_nat] :
( ( ( graph_529870330at_nat @ SV584 @ SV484 @ SV605 )
= $false )
| ( ( graph_529870330at_nat @ SV584 @ SV549 @ SV605 )
= $true )
| ( ( graph_529870330at_nat @ SV484 @ SV549 @ ( id_on_nat @ ( labele460410879_b_nat @ SV484 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3157]) ).
thf(3218,plain,
! [SV555: produc1478835367term_b,SV492: produc1478835367term_b] :
( ( ( ( produc1223098053term_b @ SV492 )
= ( produc1223098053term_b @ SV555 ) )
= $false )
| ( ( ( produc854192515term_b @ SV492 )
= ( produc854192515term_b @ SV555 ) )
= $false )
| ( ( SV492 = SV555 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3158]) ).
thf(3219,plain,
! [SV606: allegorical_term_b,SV588: allegorical_term_b,SV556: allegorical_term_b,SV493: allegorical_term_b] :
( ( ( ( allegorical_A_Int_b @ SV493 @ SV556 )
= ( allegorical_A_Int_b @ SV588 @ SV606 ) )
= $false )
| ( ( ~ ( ( ( allegorical_A_Int_b @ SV493 @ SV556 )
!= ( allegorical_A_Int_b @ SV588 @ SV606 ) )
| ~ ~ ( ( SV493 != SV588 )
| ( SV556 != SV606 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3159]) ).
thf(3220,plain,
! [SV606: allegorical_term_b,SV556: allegorical_term_b,SV588: allegorical_term_b,SV493: allegorical_term_b] :
( ( ( ~ ( ( SV493 != SV588 )
| ( SV556 != SV606 ) ) )
= $false )
| ( ( ~ ( ( ( allegorical_A_Int_b @ SV493 @ SV556 )
!= ( allegorical_A_Int_b @ SV588 @ SV606 ) )
| ~ ~ ( ( SV493 != SV588 )
| ( SV556 != SV606 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3159]) ).
thf(3221,plain,
! [SV607: allegorical_term_b,SV589: allegorical_term_b,SV559: allegorical_term_b,SV496: allegorical_term_b] :
( ( ( ( produc1990145943term_b @ SV496 @ SV559 )
= ( produc1990145943term_b @ SV589 @ SV607 ) )
= $false )
| ( ( ~ ( ( ( produc1990145943term_b @ SV496 @ SV559 )
!= ( produc1990145943term_b @ SV589 @ SV607 ) )
| ~ ~ ( ( SV496 != SV589 )
| ( SV559 != SV607 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3160]) ).
thf(3222,plain,
! [SV607: allegorical_term_b,SV559: allegorical_term_b,SV589: allegorical_term_b,SV496: allegorical_term_b] :
( ( ( ~ ( ( SV496 != SV589 )
| ( SV559 != SV607 ) ) )
= $false )
| ( ( ~ ( ( ( produc1990145943term_b @ SV496 @ SV559 )
!= ( produc1990145943term_b @ SV589 @ SV607 ) )
| ~ ~ ( ( SV496 != SV589 )
| ( SV559 != SV607 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3160]) ).
thf(3223,plain,
! [SV562: labeled_graph_b_nat > $o,SV591: labeled_graph_b_nat,SV507: labeled_graph_b_nat,SV435: labeled_graph_b_nat > $o] :
( ( ( ~ ( SV435 @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ SV507 @ SV591 ) ) )
| ~ ( SV562 @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ SV507 @ SV591 ) ) ) )
= $false )
| ( ( SV562 @ SV591 )
= $false )
| ( ( SV435 @ SV507 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3170]) ).
thf(3224,plain,
! [SV592: produc1235635379_b_nat,SV508: produc1235635379_b_nat] :
( ( ( ( SV508 != SV592 )
| ~ ~ ( ( ( produc1542243159_b_nat @ SV508 )
!= ( produc1542243159_b_nat @ SV592 ) )
| ( ( produc194497945_b_nat @ SV508 )
!= ( produc194497945_b_nat @ SV592 ) ) ) )
= $false )
| ( ( SV508 = SV592 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3171]) ).
thf(3225,plain,
! [SV592: produc1235635379_b_nat,SV508: produc1235635379_b_nat] :
( ( ( ( ( produc1542243159_b_nat @ SV508 )
!= ( produc1542243159_b_nat @ SV592 ) )
| ( ( produc194497945_b_nat @ SV508 )
!= ( produc194497945_b_nat @ SV592 ) ) )
= $true )
| ( ( ~ ( ( SV508 != SV592 )
| ~ ~ ( ( ( produc1542243159_b_nat @ SV508 )
!= ( produc1542243159_b_nat @ SV592 ) )
| ( ( produc194497945_b_nat @ SV508 )
!= ( produc194497945_b_nat @ SV592 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3172]) ).
thf(3226,plain,
! [SV594: labeled_graph_b_nat,SV511: labeled_graph_b_nat,SV566: labeled_graph_b_nat,SV441: labeled_graph_b_nat] :
( ( ( SV441 = SV566 )
= $true )
| ( ( ( produc951298923_b_nat @ SV441 @ SV511 )
= ( produc951298923_b_nat @ SV566 @ SV594 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3174]) ).
thf(3227,plain,
! [SV566: labeled_graph_b_nat,SV441: labeled_graph_b_nat,SV594: labeled_graph_b_nat,SV511: labeled_graph_b_nat] :
( ( ( SV511 = SV594 )
= $true )
| ( ( ( produc951298923_b_nat @ SV441 @ SV511 )
= ( produc951298923_b_nat @ SV566 @ SV594 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3175]) ).
thf(3228,plain,
! [SV512: produc1235635379_b_nat,SV442: labeled_graph_b_nat] :
( ( ( SV442
= ( produc1542243159_b_nat @ SV512 ) )
= $true )
| ( ( SV442
= ( produc1542243159_b_nat @ SV512 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3176]) ).
thf(3229,plain,
! [SV442: labeled_graph_b_nat,SV512: produc1235635379_b_nat] :
( ( ( ~ ! [SY805: labeled_graph_b_nat] :
( SV512
!= ( produc951298923_b_nat @ SV442 @ SY805 ) ) )
= $true )
| ( ( SV442
= ( produc1542243159_b_nat @ SV512 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3177]) ).
thf(3230,plain,
! [SV609: labeled_graph_b_nat,SV442: labeled_graph_b_nat,SV512: produc1235635379_b_nat] :
( ( ( SV512
= ( produc951298923_b_nat @ SV442 @ SV609 ) )
= $false )
| ( ( ~ ( ( SV442
!= ( produc1542243159_b_nat @ SV512 ) )
| ~ ~ ! [SY805: labeled_graph_b_nat] :
( SV512
!= ( produc951298923_b_nat @ SV442 @ SY805 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3178]) ).
thf(3231,plain,
! [SV567: set_Pr1986765409at_nat,SV445: labeled_graph_b_nat,SV608: set_Pr1986765409at_nat,SV595: labeled_graph_b_nat,SV515: labeled_graph_b_nat] :
( ( ( graph_529870330at_nat @ SV515 @ SV595 @ SV608 )
= $false )
| ( ( graph_529870330at_nat @ SV445 @ SV595 @ ( relcomp_nat_nat_nat @ SV567 @ SV608 ) )
= $true )
| ( ( graph_529870330at_nat @ SV445 @ SV515 @ SV567 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3179]) ).
thf(3232,plain,
! [SV518: produc1478835367term_b,SV448: allegorical_term_b] :
( ( ( SV448
= ( produc854192515term_b @ SV518 ) )
= $true )
| ( ( SV448
= ( produc854192515term_b @ SV518 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3181]) ).
thf(3233,plain,
! [SV448: allegorical_term_b,SV518: produc1478835367term_b] :
( ( ( ~ ! [SY811: allegorical_term_b] :
( SV518
!= ( produc1990145943term_b @ SV448 @ SY811 ) ) )
= $true )
| ( ( SV448
= ( produc854192515term_b @ SV518 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3182]) ).
thf(3234,plain,
! [SV610: allegorical_term_b,SV448: allegorical_term_b,SV518: produc1478835367term_b] :
( ( ( SV518
= ( produc1990145943term_b @ SV448 @ SV610 ) )
= $false )
| ( ( ~ ( ( SV448
!= ( produc854192515term_b @ SV518 ) )
| ~ ~ ! [SY811: allegorical_term_b] :
( SV518
!= ( produc1990145943term_b @ SV448 @ SY811 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3183]) ).
thf(3235,plain,
! [SV596: allegorical_term_b,SV520: allegorical_term_b,SV568: allegorical_term_b,SV451: allegorical_term_b] :
( ( ( SV451 = SV568 )
= $true )
| ( ( ( produc1990145943term_b @ SV451 @ SV520 )
= ( produc1990145943term_b @ SV568 @ SV596 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3185]) ).
thf(3236,plain,
! [SV568: allegorical_term_b,SV451: allegorical_term_b,SV596: allegorical_term_b,SV520: allegorical_term_b] :
( ( ( SV520 = SV596 )
= $true )
| ( ( ( produc1990145943term_b @ SV451 @ SV520 )
= ( produc1990145943term_b @ SV568 @ SV596 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3186]) ).
thf(3237,plain,
! [SV598: labeled_graph_b_nat,SV570: labeled_graph_b_nat,SV522: labeled_graph_b_nat,SV453: labeled_graph_b_nat] :
( ( ( ( ( produc951298923_b_nat @ SV453 @ SV522 )
!= ( produc951298923_b_nat @ SV570 @ SV598 ) )
| ~ ~ ( ( SV453 != SV570 )
| ( SV522 != SV598 ) ) )
= $false )
| ( ( ( produc951298923_b_nat @ SV453 @ SV522 )
= ( produc951298923_b_nat @ SV570 @ SV598 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3188]) ).
thf(3238,plain,
! [SV598: labeled_graph_b_nat,SV522: labeled_graph_b_nat,SV570: labeled_graph_b_nat,SV453: labeled_graph_b_nat] :
( ( ( ( SV453 != SV570 )
| ( SV522 != SV598 ) )
= $true )
| ( ( ~ ( ( ( produc951298923_b_nat @ SV453 @ SV522 )
!= ( produc951298923_b_nat @ SV570 @ SV598 ) )
| ~ ~ ( ( SV453 != SV570 )
| ( SV522 != SV598 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3189]) ).
thf(3239,plain,
! [SV524: labeled_graph_b_nat,SV455: labeled_graph_b_nat] :
( ( ( graph_529870330at_nat @ SV455 @ SV524 @ ( id_on_nat @ ( labele460410879_b_nat @ SV455 ) ) )
= $true )
| ( ( graph_529870330at_nat @ SV455 @ SV524 @ ( id_on_nat @ ( labele460410879_b_nat @ SV455 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3191]) ).
thf(3240,plain,
! [SV524: labeled_graph_b_nat,SV455: labeled_graph_b_nat] :
( ( ( ~ ( ~ ~ ( ( SV455
!= ( restrict_b_nat @ SV455 ) )
| ( SV524
!= ( restrict_b_nat @ SV524 ) ) )
| ( ( graph_union_b_nat @ SV455 @ SV524 )
!= SV524 ) ) )
= $true )
| ( ( graph_529870330at_nat @ SV455 @ SV524 @ ( id_on_nat @ ( labele460410879_b_nat @ SV455 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3192]) ).
thf(3241,plain,
! [SV524: labeled_graph_b_nat,SV455: labeled_graph_b_nat] :
( ( ( ~ ( ( SV455
!= ( restrict_b_nat @ SV455 ) )
| ( SV524
!= ( restrict_b_nat @ SV524 ) ) ) )
= $false )
| ( ( ( graph_union_b_nat @ SV455 @ SV524 )
!= SV524 )
= $true )
| ( ( ~ ( ~ ( graph_529870330at_nat @ SV455 @ SV524 @ ( id_on_nat @ ( labele460410879_b_nat @ SV455 ) ) )
| ~ ~ ( ~ ~ ( ( SV455
!= ( restrict_b_nat @ SV455 ) )
| ( SV524
!= ( restrict_b_nat @ SV524 ) ) )
| ( ( graph_union_b_nat @ SV455 @ SV524 )
!= SV524 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3193]) ).
thf(3242,plain,
! [SV460: b] :
( ( ~ ( graph_529870330at_nat @ ( produc1542243159_b_nat @ ( standa1360217389rule_b @ SV460 ) ) @ ( produc194497945_b_nat @ ( standa1360217389rule_b @ SV460 ) ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ ( standa1360217389rule_b @ SV460 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[3195]) ).
thf(3243,plain,
! [SV460: b] :
( ( ( produc194497945_b_nat @ ( standa1360217389rule_b @ SV460 ) )
!= ( restrict_b_nat @ ( produc194497945_b_nat @ ( standa1360217389rule_b @ SV460 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[3195]) ).
thf(3244,plain,
! [SV529: produc1235635379_b_nat,SV462: labeled_graph_b_nat] :
( ( ( SV462
= ( produc194497945_b_nat @ SV529 ) )
= $true )
| ( ( SV462
= ( produc194497945_b_nat @ SV529 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3196]) ).
thf(3245,plain,
! [SV462: labeled_graph_b_nat,SV529: produc1235635379_b_nat] :
( ( ( ~ ! [SY823: labeled_graph_b_nat] :
( SV529
!= ( produc951298923_b_nat @ SY823 @ SV462 ) ) )
= $true )
| ( ( SV462
= ( produc194497945_b_nat @ SV529 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3197]) ).
thf(3246,plain,
! [SV462: labeled_graph_b_nat,SV611: labeled_graph_b_nat,SV529: produc1235635379_b_nat] :
( ( ( SV529
= ( produc951298923_b_nat @ SV611 @ SV462 ) )
= $false )
| ( ( ~ ( ( SV462
!= ( produc194497945_b_nat @ SV529 ) )
| ~ ~ ! [SY823: labeled_graph_b_nat] :
( SV529
!= ( produc951298923_b_nat @ SY823 @ SV462 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3198]) ).
thf(3247,plain,
! [SV532: allegorical_term_b,SV465: allegorical_term_b] :
( ( ~ ( graph_529870330at_nat @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV465 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV465 @ SV532 ) ) ) ) @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV465 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV465 @ SV532 ) ) ) ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV465 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV465 @ SV532 ) ) ) ) ) ) )
| ( ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV465 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV465 @ SV532 ) ) ) )
!= ( restrict_b_nat @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV465 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV465 @ SV532 ) ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[3199]) ).
thf(3248,plain,
! [SV600: produc1478835367term_b,SV533: produc1478835367term_b] :
( ( ( ( SV533 != SV600 )
| ~ ~ ( ( ( produc854192515term_b @ SV533 )
!= ( produc854192515term_b @ SV600 ) )
| ( ( produc1223098053term_b @ SV533 )
!= ( produc1223098053term_b @ SV600 ) ) ) )
= $false )
| ( ( SV533 = SV600 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3201]) ).
thf(3249,plain,
! [SV600: produc1478835367term_b,SV533: produc1478835367term_b] :
( ( ( ( ( produc854192515term_b @ SV533 )
!= ( produc854192515term_b @ SV600 ) )
| ( ( produc1223098053term_b @ SV533 )
!= ( produc1223098053term_b @ SV600 ) ) )
= $true )
| ( ( ~ ( ( SV533 != SV600 )
| ~ ~ ( ( ( produc854192515term_b @ SV533 )
!= ( produc854192515term_b @ SV600 ) )
| ( ( produc1223098053term_b @ SV533 )
!= ( produc1223098053term_b @ SV600 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3202]) ).
thf(3250,plain,
! [SV601: allegorical_term_b,SV576: allegorical_term_b,SV535: allegorical_term_b,SV469: allegorical_term_b] :
( ( ( ( ( produc1990145943term_b @ SV469 @ SV535 )
!= ( produc1990145943term_b @ SV576 @ SV601 ) )
| ~ ~ ( ( SV469 != SV576 )
| ( SV535 != SV601 ) ) )
= $false )
| ( ( ( produc1990145943term_b @ SV469 @ SV535 )
= ( produc1990145943term_b @ SV576 @ SV601 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3203]) ).
thf(3251,plain,
! [SV601: allegorical_term_b,SV535: allegorical_term_b,SV576: allegorical_term_b,SV469: allegorical_term_b] :
( ( ( ( SV469 != SV576 )
| ( SV535 != SV601 ) )
= $true )
| ( ( ~ ( ( ( produc1990145943term_b @ SV469 @ SV535 )
!= ( produc1990145943term_b @ SV576 @ SV601 ) )
| ~ ~ ( ( SV469 != SV576 )
| ( SV535 != SV601 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3204]) ).
thf(3252,plain,
! [SV536: produc1478835367term_b,SV470: allegorical_term_b] :
( ( ( SV470
= ( produc1223098053term_b @ SV536 ) )
= $true )
| ( ( SV470
= ( produc1223098053term_b @ SV536 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3205]) ).
thf(3253,plain,
! [SV470: allegorical_term_b,SV536: produc1478835367term_b] :
( ( ( ~ ! [SY830: allegorical_term_b] :
( SV536
!= ( produc1990145943term_b @ SY830 @ SV470 ) ) )
= $true )
| ( ( SV470
= ( produc1223098053term_b @ SV536 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3206]) ).
thf(3254,plain,
! [SV470: allegorical_term_b,SV612: allegorical_term_b,SV536: produc1478835367term_b] :
( ( ( SV536
= ( produc1990145943term_b @ SV612 @ SV470 ) )
= $false )
| ( ( ~ ( ( SV470
!= ( produc1223098053term_b @ SV536 ) )
| ~ ~ ! [SY830: allegorical_term_b] :
( SV536
!= ( produc1990145943term_b @ SY830 @ SV470 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3207]) ).
thf(3255,plain,
! [SV602: labeled_graph_b_nat,SV579: labeled_graph_b_nat,SV541: labeled_graph_b_nat,SV475: labeled_graph_b_nat] :
( ( ( ( ( produc951298923_b_nat @ SV475 @ SV541 )
!= ( produc951298923_b_nat @ SV579 @ SV602 ) )
| ~ ~ ( ( SV475 != SV579 )
| ( SV541 != SV602 ) ) )
= $false )
| ( ( ( produc951298923_b_nat @ SV475 @ SV541 )
= ( produc951298923_b_nat @ SV579 @ SV602 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3209]) ).
thf(3256,plain,
! [SV602: labeled_graph_b_nat,SV541: labeled_graph_b_nat,SV579: labeled_graph_b_nat,SV475: labeled_graph_b_nat] :
( ( ( ( SV475 != SV579 )
| ( SV541 != SV602 ) )
= $true )
| ( ( ~ ( ( ( produc951298923_b_nat @ SV475 @ SV541 )
!= ( produc951298923_b_nat @ SV579 @ SV602 ) )
| ~ ~ ( ( SV475 != SV579 )
| ( SV541 != SV602 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3210]) ).
thf(3257,plain,
! [SV580: allegorical_term_b > $o,SV603: allegorical_term_b,SV542: allegorical_term_b,SV476: allegorical_term_b > $o] :
( ( ( ~ ( SV476 @ ( produc854192515term_b @ ( produc1990145943term_b @ SV542 @ SV603 ) ) )
| ~ ( SV580 @ ( produc1223098053term_b @ ( produc1990145943term_b @ SV542 @ SV603 ) ) ) )
= $false )
| ( ( SV580 @ SV603 )
= $false )
| ( ( SV476 @ SV542 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3211]) ).
thf(3258,plain,
( ( graph_529870330at_nat @ ( produc1542243159_b_nat @ standa879863266rule_b ) @ ( produc194497945_b_nat @ standa879863266rule_b ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ standa879863266rule_b ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[3213]) ).
thf(3259,plain,
( ( ( produc194497945_b_nat @ standa879863266rule_b )
= ( restrict_b_nat @ ( produc194497945_b_nat @ standa879863266rule_b ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[3214]) ).
thf(3260,plain,
! [SV483: b] :
( ( ~ ( graph_529870330at_nat @ ( produc1542243159_b_nat @ ( standa1329480013rule_b @ SV483 ) ) @ ( produc194497945_b_nat @ ( standa1329480013rule_b @ SV483 ) ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ ( standa1329480013rule_b @ SV483 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[3216]) ).
thf(3261,plain,
! [SV483: b] :
( ( ( produc194497945_b_nat @ ( standa1329480013rule_b @ SV483 ) )
!= ( restrict_b_nat @ ( produc194497945_b_nat @ ( standa1329480013rule_b @ SV483 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[3216]) ).
thf(3262,plain,
! [SV606: allegorical_term_b,SV588: allegorical_term_b,SV556: allegorical_term_b,SV493: allegorical_term_b] :
( ( ( ( ( allegorical_A_Int_b @ SV493 @ SV556 )
!= ( allegorical_A_Int_b @ SV588 @ SV606 ) )
| ~ ~ ( ( SV493 != SV588 )
| ( SV556 != SV606 ) ) )
= $false )
| ( ( ( allegorical_A_Int_b @ SV493 @ SV556 )
= ( allegorical_A_Int_b @ SV588 @ SV606 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3219]) ).
thf(3263,plain,
! [SV606: allegorical_term_b,SV556: allegorical_term_b,SV588: allegorical_term_b,SV493: allegorical_term_b] :
( ( ( ( SV493 != SV588 )
| ( SV556 != SV606 ) )
= $true )
| ( ( ~ ( ( ( allegorical_A_Int_b @ SV493 @ SV556 )
!= ( allegorical_A_Int_b @ SV588 @ SV606 ) )
| ~ ~ ( ( SV493 != SV588 )
| ( SV556 != SV606 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3220]) ).
thf(3264,plain,
! [SV607: allegorical_term_b,SV589: allegorical_term_b,SV559: allegorical_term_b,SV496: allegorical_term_b] :
( ( ( ( ( produc1990145943term_b @ SV496 @ SV559 )
!= ( produc1990145943term_b @ SV589 @ SV607 ) )
| ~ ~ ( ( SV496 != SV589 )
| ( SV559 != SV607 ) ) )
= $false )
| ( ( ( produc1990145943term_b @ SV496 @ SV559 )
= ( produc1990145943term_b @ SV589 @ SV607 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3221]) ).
thf(3265,plain,
! [SV607: allegorical_term_b,SV559: allegorical_term_b,SV589: allegorical_term_b,SV496: allegorical_term_b] :
( ( ( ( SV496 != SV589 )
| ( SV559 != SV607 ) )
= $true )
| ( ( ~ ( ( ( produc1990145943term_b @ SV496 @ SV559 )
!= ( produc1990145943term_b @ SV589 @ SV607 ) )
| ~ ~ ( ( SV496 != SV589 )
| ( SV559 != SV607 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3222]) ).
thf(3266,plain,
! [SV562: labeled_graph_b_nat > $o,SV591: labeled_graph_b_nat,SV507: labeled_graph_b_nat,SV435: labeled_graph_b_nat > $o] :
( ( ( ~ ( SV435 @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ SV507 @ SV591 ) ) ) )
= $false )
| ( ( SV562 @ SV591 )
= $false )
| ( ( SV435 @ SV507 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3223]) ).
thf(3267,plain,
! [SV435: labeled_graph_b_nat > $o,SV591: labeled_graph_b_nat,SV507: labeled_graph_b_nat,SV562: labeled_graph_b_nat > $o] :
( ( ( ~ ( SV562 @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ SV507 @ SV591 ) ) ) )
= $false )
| ( ( SV562 @ SV591 )
= $false )
| ( ( SV435 @ SV507 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3223]) ).
thf(3268,plain,
! [SV592: produc1235635379_b_nat,SV508: produc1235635379_b_nat] :
( ( ( SV508 != SV592 )
= $false )
| ( ( SV508 = SV592 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3224]) ).
thf(3269,plain,
! [SV592: produc1235635379_b_nat,SV508: produc1235635379_b_nat] :
( ( ( ~ ~ ( ( ( produc1542243159_b_nat @ SV508 )
!= ( produc1542243159_b_nat @ SV592 ) )
| ( ( produc194497945_b_nat @ SV508 )
!= ( produc194497945_b_nat @ SV592 ) ) ) )
= $false )
| ( ( SV508 = SV592 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3224]) ).
thf(3270,plain,
! [SV592: produc1235635379_b_nat,SV508: produc1235635379_b_nat] :
( ( ( ( produc1542243159_b_nat @ SV508 )
!= ( produc1542243159_b_nat @ SV592 ) )
= $true )
| ( ( ( produc194497945_b_nat @ SV508 )
!= ( produc194497945_b_nat @ SV592 ) )
= $true )
| ( ( ~ ( ( SV508 != SV592 )
| ~ ~ ( ( ( produc1542243159_b_nat @ SV508 )
!= ( produc1542243159_b_nat @ SV592 ) )
| ( ( produc194497945_b_nat @ SV508 )
!= ( produc194497945_b_nat @ SV592 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3225]) ).
thf(3271,plain,
! [SV442: labeled_graph_b_nat,SV512: produc1235635379_b_nat] :
( ( ( ! [SY805: labeled_graph_b_nat] :
( SV512
!= ( produc951298923_b_nat @ SV442 @ SY805 ) ) )
= $false )
| ( ( SV442
= ( produc1542243159_b_nat @ SV512 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3229]) ).
thf(3272,plain,
! [SV609: labeled_graph_b_nat,SV512: produc1235635379_b_nat,SV442: labeled_graph_b_nat] :
( ( ( ( SV442
!= ( produc1542243159_b_nat @ SV512 ) )
| ~ ~ ! [SY805: labeled_graph_b_nat] :
( SV512
!= ( produc951298923_b_nat @ SV442 @ SY805 ) ) )
= $false )
| ( ( SV512
= ( produc951298923_b_nat @ SV442 @ SV609 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3230]) ).
thf(3273,plain,
! [SV448: allegorical_term_b,SV518: produc1478835367term_b] :
( ( ( ! [SY811: allegorical_term_b] :
( SV518
!= ( produc1990145943term_b @ SV448 @ SY811 ) ) )
= $false )
| ( ( SV448
= ( produc854192515term_b @ SV518 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3233]) ).
thf(3274,plain,
! [SV610: allegorical_term_b,SV518: produc1478835367term_b,SV448: allegorical_term_b] :
( ( ( ( SV448
!= ( produc854192515term_b @ SV518 ) )
| ~ ~ ! [SY811: allegorical_term_b] :
( SV518
!= ( produc1990145943term_b @ SV448 @ SY811 ) ) )
= $false )
| ( ( SV518
= ( produc1990145943term_b @ SV448 @ SV610 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3234]) ).
thf(3275,plain,
! [SV598: labeled_graph_b_nat,SV570: labeled_graph_b_nat,SV522: labeled_graph_b_nat,SV453: labeled_graph_b_nat] :
( ( ( ( produc951298923_b_nat @ SV453 @ SV522 )
!= ( produc951298923_b_nat @ SV570 @ SV598 ) )
= $false )
| ( ( ( produc951298923_b_nat @ SV453 @ SV522 )
= ( produc951298923_b_nat @ SV570 @ SV598 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3237]) ).
thf(3276,plain,
! [SV598: labeled_graph_b_nat,SV522: labeled_graph_b_nat,SV570: labeled_graph_b_nat,SV453: labeled_graph_b_nat] :
( ( ( ~ ~ ( ( SV453 != SV570 )
| ( SV522 != SV598 ) ) )
= $false )
| ( ( ( produc951298923_b_nat @ SV453 @ SV522 )
= ( produc951298923_b_nat @ SV570 @ SV598 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3237]) ).
thf(3277,plain,
! [SV598: labeled_graph_b_nat,SV522: labeled_graph_b_nat,SV570: labeled_graph_b_nat,SV453: labeled_graph_b_nat] :
( ( ( SV453 != SV570 )
= $true )
| ( ( SV522 != SV598 )
= $true )
| ( ( ~ ( ( ( produc951298923_b_nat @ SV453 @ SV522 )
!= ( produc951298923_b_nat @ SV570 @ SV598 ) )
| ~ ~ ( ( SV453 != SV570 )
| ( SV522 != SV598 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3238]) ).
thf(3278,plain,
! [SV524: labeled_graph_b_nat,SV455: labeled_graph_b_nat] :
( ( ( ~ ~ ( ( SV455
!= ( restrict_b_nat @ SV455 ) )
| ( SV524
!= ( restrict_b_nat @ SV524 ) ) )
| ( ( graph_union_b_nat @ SV455 @ SV524 )
!= SV524 ) )
= $false )
| ( ( graph_529870330at_nat @ SV455 @ SV524 @ ( id_on_nat @ ( labele460410879_b_nat @ SV455 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3240]) ).
thf(3279,plain,
! [SV524: labeled_graph_b_nat,SV455: labeled_graph_b_nat] :
( ( ( ( SV455
!= ( restrict_b_nat @ SV455 ) )
| ( SV524
!= ( restrict_b_nat @ SV524 ) ) )
= $true )
| ( ( ( graph_union_b_nat @ SV455 @ SV524 )
!= SV524 )
= $true )
| ( ( ~ ( ~ ( graph_529870330at_nat @ SV455 @ SV524 @ ( id_on_nat @ ( labele460410879_b_nat @ SV455 ) ) )
| ~ ~ ( ~ ~ ( ( SV455
!= ( restrict_b_nat @ SV455 ) )
| ( SV524
!= ( restrict_b_nat @ SV524 ) ) )
| ( ( graph_union_b_nat @ SV455 @ SV524 )
!= SV524 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3241]) ).
thf(3280,plain,
! [SV460: b] :
( ( graph_529870330at_nat @ ( produc1542243159_b_nat @ ( standa1360217389rule_b @ SV460 ) ) @ ( produc194497945_b_nat @ ( standa1360217389rule_b @ SV460 ) ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ ( standa1360217389rule_b @ SV460 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[3242]) ).
thf(3281,plain,
! [SV460: b] :
( ( ( produc194497945_b_nat @ ( standa1360217389rule_b @ SV460 ) )
= ( restrict_b_nat @ ( produc194497945_b_nat @ ( standa1360217389rule_b @ SV460 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[3243]) ).
thf(3282,plain,
! [SV462: labeled_graph_b_nat,SV529: produc1235635379_b_nat] :
( ( ( ! [SY823: labeled_graph_b_nat] :
( SV529
!= ( produc951298923_b_nat @ SY823 @ SV462 ) ) )
= $false )
| ( ( SV462
= ( produc194497945_b_nat @ SV529 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3245]) ).
thf(3283,plain,
! [SV611: labeled_graph_b_nat,SV529: produc1235635379_b_nat,SV462: labeled_graph_b_nat] :
( ( ( ( SV462
!= ( produc194497945_b_nat @ SV529 ) )
| ~ ~ ! [SY823: labeled_graph_b_nat] :
( SV529
!= ( produc951298923_b_nat @ SY823 @ SV462 ) ) )
= $false )
| ( ( SV529
= ( produc951298923_b_nat @ SV611 @ SV462 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3246]) ).
thf(3284,plain,
! [SV532: allegorical_term_b,SV465: allegorical_term_b] :
( ( ~ ( graph_529870330at_nat @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV465 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV465 @ SV532 ) ) ) ) @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV465 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV465 @ SV532 ) ) ) ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV465 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV465 @ SV532 ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[3247]) ).
thf(3285,plain,
! [SV532: allegorical_term_b,SV465: allegorical_term_b] :
( ( ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV465 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV465 @ SV532 ) ) ) )
!= ( restrict_b_nat @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV465 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV465 @ SV532 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[3247]) ).
thf(3286,plain,
! [SV600: produc1478835367term_b,SV533: produc1478835367term_b] :
( ( ( SV533 != SV600 )
= $false )
| ( ( SV533 = SV600 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3248]) ).
thf(3287,plain,
! [SV600: produc1478835367term_b,SV533: produc1478835367term_b] :
( ( ( ~ ~ ( ( ( produc854192515term_b @ SV533 )
!= ( produc854192515term_b @ SV600 ) )
| ( ( produc1223098053term_b @ SV533 )
!= ( produc1223098053term_b @ SV600 ) ) ) )
= $false )
| ( ( SV533 = SV600 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3248]) ).
thf(3288,plain,
! [SV600: produc1478835367term_b,SV533: produc1478835367term_b] :
( ( ( ( produc854192515term_b @ SV533 )
!= ( produc854192515term_b @ SV600 ) )
= $true )
| ( ( ( produc1223098053term_b @ SV533 )
!= ( produc1223098053term_b @ SV600 ) )
= $true )
| ( ( ~ ( ( SV533 != SV600 )
| ~ ~ ( ( ( produc854192515term_b @ SV533 )
!= ( produc854192515term_b @ SV600 ) )
| ( ( produc1223098053term_b @ SV533 )
!= ( produc1223098053term_b @ SV600 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3249]) ).
thf(3289,plain,
! [SV601: allegorical_term_b,SV576: allegorical_term_b,SV535: allegorical_term_b,SV469: allegorical_term_b] :
( ( ( ( produc1990145943term_b @ SV469 @ SV535 )
!= ( produc1990145943term_b @ SV576 @ SV601 ) )
= $false )
| ( ( ( produc1990145943term_b @ SV469 @ SV535 )
= ( produc1990145943term_b @ SV576 @ SV601 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3250]) ).
thf(3290,plain,
! [SV601: allegorical_term_b,SV535: allegorical_term_b,SV576: allegorical_term_b,SV469: allegorical_term_b] :
( ( ( ~ ~ ( ( SV469 != SV576 )
| ( SV535 != SV601 ) ) )
= $false )
| ( ( ( produc1990145943term_b @ SV469 @ SV535 )
= ( produc1990145943term_b @ SV576 @ SV601 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3250]) ).
thf(3291,plain,
! [SV601: allegorical_term_b,SV535: allegorical_term_b,SV576: allegorical_term_b,SV469: allegorical_term_b] :
( ( ( SV469 != SV576 )
= $true )
| ( ( SV535 != SV601 )
= $true )
| ( ( ~ ( ( ( produc1990145943term_b @ SV469 @ SV535 )
!= ( produc1990145943term_b @ SV576 @ SV601 ) )
| ~ ~ ( ( SV469 != SV576 )
| ( SV535 != SV601 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3251]) ).
thf(3292,plain,
! [SV470: allegorical_term_b,SV536: produc1478835367term_b] :
( ( ( ! [SY830: allegorical_term_b] :
( SV536
!= ( produc1990145943term_b @ SY830 @ SV470 ) ) )
= $false )
| ( ( SV470
= ( produc1223098053term_b @ SV536 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3253]) ).
thf(3293,plain,
! [SV612: allegorical_term_b,SV536: produc1478835367term_b,SV470: allegorical_term_b] :
( ( ( ( SV470
!= ( produc1223098053term_b @ SV536 ) )
| ~ ~ ! [SY830: allegorical_term_b] :
( SV536
!= ( produc1990145943term_b @ SY830 @ SV470 ) ) )
= $false )
| ( ( SV536
= ( produc1990145943term_b @ SV612 @ SV470 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3254]) ).
thf(3294,plain,
! [SV602: labeled_graph_b_nat,SV579: labeled_graph_b_nat,SV541: labeled_graph_b_nat,SV475: labeled_graph_b_nat] :
( ( ( ( produc951298923_b_nat @ SV475 @ SV541 )
!= ( produc951298923_b_nat @ SV579 @ SV602 ) )
= $false )
| ( ( ( produc951298923_b_nat @ SV475 @ SV541 )
= ( produc951298923_b_nat @ SV579 @ SV602 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3255]) ).
thf(3295,plain,
! [SV602: labeled_graph_b_nat,SV541: labeled_graph_b_nat,SV579: labeled_graph_b_nat,SV475: labeled_graph_b_nat] :
( ( ( ~ ~ ( ( SV475 != SV579 )
| ( SV541 != SV602 ) ) )
= $false )
| ( ( ( produc951298923_b_nat @ SV475 @ SV541 )
= ( produc951298923_b_nat @ SV579 @ SV602 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3255]) ).
thf(3296,plain,
! [SV602: labeled_graph_b_nat,SV541: labeled_graph_b_nat,SV579: labeled_graph_b_nat,SV475: labeled_graph_b_nat] :
( ( ( SV475 != SV579 )
= $true )
| ( ( SV541 != SV602 )
= $true )
| ( ( ~ ( ( ( produc951298923_b_nat @ SV475 @ SV541 )
!= ( produc951298923_b_nat @ SV579 @ SV602 ) )
| ~ ~ ( ( SV475 != SV579 )
| ( SV541 != SV602 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3256]) ).
thf(3297,plain,
! [SV580: allegorical_term_b > $o,SV603: allegorical_term_b,SV542: allegorical_term_b,SV476: allegorical_term_b > $o] :
( ( ( ~ ( SV476 @ ( produc854192515term_b @ ( produc1990145943term_b @ SV542 @ SV603 ) ) ) )
= $false )
| ( ( SV580 @ SV603 )
= $false )
| ( ( SV476 @ SV542 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3257]) ).
thf(3298,plain,
! [SV476: allegorical_term_b > $o,SV603: allegorical_term_b,SV542: allegorical_term_b,SV580: allegorical_term_b > $o] :
( ( ( ~ ( SV580 @ ( produc1223098053term_b @ ( produc1990145943term_b @ SV542 @ SV603 ) ) ) )
= $false )
| ( ( SV580 @ SV603 )
= $false )
| ( ( SV476 @ SV542 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3257]) ).
thf(3299,plain,
! [SV483: b] :
( ( graph_529870330at_nat @ ( produc1542243159_b_nat @ ( standa1329480013rule_b @ SV483 ) ) @ ( produc194497945_b_nat @ ( standa1329480013rule_b @ SV483 ) ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ ( standa1329480013rule_b @ SV483 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[3260]) ).
thf(3300,plain,
! [SV483: b] :
( ( ( produc194497945_b_nat @ ( standa1329480013rule_b @ SV483 ) )
= ( restrict_b_nat @ ( produc194497945_b_nat @ ( standa1329480013rule_b @ SV483 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[3261]) ).
thf(3301,plain,
! [SV606: allegorical_term_b,SV588: allegorical_term_b,SV556: allegorical_term_b,SV493: allegorical_term_b] :
( ( ( ( allegorical_A_Int_b @ SV493 @ SV556 )
!= ( allegorical_A_Int_b @ SV588 @ SV606 ) )
= $false )
| ( ( ( allegorical_A_Int_b @ SV493 @ SV556 )
= ( allegorical_A_Int_b @ SV588 @ SV606 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3262]) ).
thf(3302,plain,
! [SV606: allegorical_term_b,SV556: allegorical_term_b,SV588: allegorical_term_b,SV493: allegorical_term_b] :
( ( ( ~ ~ ( ( SV493 != SV588 )
| ( SV556 != SV606 ) ) )
= $false )
| ( ( ( allegorical_A_Int_b @ SV493 @ SV556 )
= ( allegorical_A_Int_b @ SV588 @ SV606 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3262]) ).
thf(3303,plain,
! [SV606: allegorical_term_b,SV556: allegorical_term_b,SV588: allegorical_term_b,SV493: allegorical_term_b] :
( ( ( SV493 != SV588 )
= $true )
| ( ( SV556 != SV606 )
= $true )
| ( ( ~ ( ( ( allegorical_A_Int_b @ SV493 @ SV556 )
!= ( allegorical_A_Int_b @ SV588 @ SV606 ) )
| ~ ~ ( ( SV493 != SV588 )
| ( SV556 != SV606 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3263]) ).
thf(3304,plain,
! [SV607: allegorical_term_b,SV589: allegorical_term_b,SV559: allegorical_term_b,SV496: allegorical_term_b] :
( ( ( ( produc1990145943term_b @ SV496 @ SV559 )
!= ( produc1990145943term_b @ SV589 @ SV607 ) )
= $false )
| ( ( ( produc1990145943term_b @ SV496 @ SV559 )
= ( produc1990145943term_b @ SV589 @ SV607 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3264]) ).
thf(3305,plain,
! [SV607: allegorical_term_b,SV559: allegorical_term_b,SV589: allegorical_term_b,SV496: allegorical_term_b] :
( ( ( ~ ~ ( ( SV496 != SV589 )
| ( SV559 != SV607 ) ) )
= $false )
| ( ( ( produc1990145943term_b @ SV496 @ SV559 )
= ( produc1990145943term_b @ SV589 @ SV607 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3264]) ).
thf(3306,plain,
! [SV607: allegorical_term_b,SV559: allegorical_term_b,SV589: allegorical_term_b,SV496: allegorical_term_b] :
( ( ( SV496 != SV589 )
= $true )
| ( ( SV559 != SV607 )
= $true )
| ( ( ~ ( ( ( produc1990145943term_b @ SV496 @ SV559 )
!= ( produc1990145943term_b @ SV589 @ SV607 ) )
| ~ ~ ( ( SV496 != SV589 )
| ( SV559 != SV607 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3265]) ).
thf(3307,plain,
! [SV562: labeled_graph_b_nat > $o,SV591: labeled_graph_b_nat,SV507: labeled_graph_b_nat,SV435: labeled_graph_b_nat > $o] :
( ( ( SV435 @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ SV507 @ SV591 ) ) )
= $true )
| ( ( SV562 @ SV591 )
= $false )
| ( ( SV435 @ SV507 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3266]) ).
thf(3308,plain,
! [SV435: labeled_graph_b_nat > $o,SV591: labeled_graph_b_nat,SV507: labeled_graph_b_nat,SV562: labeled_graph_b_nat > $o] :
( ( ( SV562 @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ SV507 @ SV591 ) ) )
= $true )
| ( ( SV562 @ SV591 )
= $false )
| ( ( SV435 @ SV507 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3267]) ).
thf(3309,plain,
! [SV592: produc1235635379_b_nat,SV508: produc1235635379_b_nat] :
( ( ( SV508 = SV592 )
= $true )
| ( ( SV508 = SV592 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3268]) ).
thf(3310,plain,
! [SV592: produc1235635379_b_nat,SV508: produc1235635379_b_nat] :
( ( ( ~ ( ( ( produc1542243159_b_nat @ SV508 )
!= ( produc1542243159_b_nat @ SV592 ) )
| ( ( produc194497945_b_nat @ SV508 )
!= ( produc194497945_b_nat @ SV592 ) ) ) )
= $true )
| ( ( SV508 = SV592 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3269]) ).
thf(3311,plain,
! [SV592: produc1235635379_b_nat,SV508: produc1235635379_b_nat] :
( ( ( ( produc1542243159_b_nat @ SV508 )
= ( produc1542243159_b_nat @ SV592 ) )
= $false )
| ( ( ( produc194497945_b_nat @ SV508 )
!= ( produc194497945_b_nat @ SV592 ) )
= $true )
| ( ( ~ ( ( SV508 != SV592 )
| ~ ~ ( ( ( produc1542243159_b_nat @ SV508 )
!= ( produc1542243159_b_nat @ SV592 ) )
| ( ( produc194497945_b_nat @ SV508 )
!= ( produc194497945_b_nat @ SV592 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3270]) ).
thf(3312,plain,
! [SV442: labeled_graph_b_nat,SV512: produc1235635379_b_nat] :
( ( ( SV512
!= ( produc951298923_b_nat @ SV442 @ ( sK77_SY805 @ SV442 @ SV512 ) ) )
= $false )
| ( ( SV442
= ( produc1542243159_b_nat @ SV512 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[3271]) ).
thf(3313,plain,
! [SV609: labeled_graph_b_nat,SV512: produc1235635379_b_nat,SV442: labeled_graph_b_nat] :
( ( ( SV442
!= ( produc1542243159_b_nat @ SV512 ) )
= $false )
| ( ( SV512
= ( produc951298923_b_nat @ SV442 @ SV609 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3272]) ).
thf(3314,plain,
! [SV609: labeled_graph_b_nat,SV442: labeled_graph_b_nat,SV512: produc1235635379_b_nat] :
( ( ( ~ ~ ! [SY805: labeled_graph_b_nat] :
( SV512
!= ( produc951298923_b_nat @ SV442 @ SY805 ) ) )
= $false )
| ( ( SV512
= ( produc951298923_b_nat @ SV442 @ SV609 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3272]) ).
thf(3315,plain,
! [SV448: allegorical_term_b,SV518: produc1478835367term_b] :
( ( ( SV518
!= ( produc1990145943term_b @ SV448 @ ( sK78_SY811 @ SV448 @ SV518 ) ) )
= $false )
| ( ( SV448
= ( produc854192515term_b @ SV518 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[3273]) ).
thf(3316,plain,
! [SV610: allegorical_term_b,SV518: produc1478835367term_b,SV448: allegorical_term_b] :
( ( ( SV448
!= ( produc854192515term_b @ SV518 ) )
= $false )
| ( ( SV518
= ( produc1990145943term_b @ SV448 @ SV610 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3274]) ).
thf(3317,plain,
! [SV610: allegorical_term_b,SV448: allegorical_term_b,SV518: produc1478835367term_b] :
( ( ( ~ ~ ! [SY811: allegorical_term_b] :
( SV518
!= ( produc1990145943term_b @ SV448 @ SY811 ) ) )
= $false )
| ( ( SV518
= ( produc1990145943term_b @ SV448 @ SV610 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3274]) ).
thf(3318,plain,
! [SV598: labeled_graph_b_nat,SV570: labeled_graph_b_nat,SV522: labeled_graph_b_nat,SV453: labeled_graph_b_nat] :
( ( ( ( produc951298923_b_nat @ SV453 @ SV522 )
= ( produc951298923_b_nat @ SV570 @ SV598 ) )
= $true )
| ( ( ( produc951298923_b_nat @ SV453 @ SV522 )
= ( produc951298923_b_nat @ SV570 @ SV598 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3275]) ).
thf(3319,plain,
! [SV598: labeled_graph_b_nat,SV522: labeled_graph_b_nat,SV570: labeled_graph_b_nat,SV453: labeled_graph_b_nat] :
( ( ( ~ ( ( SV453 != SV570 )
| ( SV522 != SV598 ) ) )
= $true )
| ( ( ( produc951298923_b_nat @ SV453 @ SV522 )
= ( produc951298923_b_nat @ SV570 @ SV598 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3276]) ).
thf(3320,plain,
! [SV598: labeled_graph_b_nat,SV522: labeled_graph_b_nat,SV570: labeled_graph_b_nat,SV453: labeled_graph_b_nat] :
( ( ( SV453 = SV570 )
= $false )
| ( ( SV522 != SV598 )
= $true )
| ( ( ~ ( ( ( produc951298923_b_nat @ SV453 @ SV522 )
!= ( produc951298923_b_nat @ SV570 @ SV598 ) )
| ~ ~ ( ( SV453 != SV570 )
| ( SV522 != SV598 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3277]) ).
thf(3321,plain,
! [SV524: labeled_graph_b_nat,SV455: labeled_graph_b_nat] :
( ( ( ~ ~ ( ( SV455
!= ( restrict_b_nat @ SV455 ) )
| ( SV524
!= ( restrict_b_nat @ SV524 ) ) ) )
= $false )
| ( ( graph_529870330at_nat @ SV455 @ SV524 @ ( id_on_nat @ ( labele460410879_b_nat @ SV455 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3278]) ).
thf(3322,plain,
! [SV524: labeled_graph_b_nat,SV455: labeled_graph_b_nat] :
( ( ( ( graph_union_b_nat @ SV455 @ SV524 )
!= SV524 )
= $false )
| ( ( graph_529870330at_nat @ SV455 @ SV524 @ ( id_on_nat @ ( labele460410879_b_nat @ SV455 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3278]) ).
thf(3323,plain,
! [SV524: labeled_graph_b_nat,SV455: labeled_graph_b_nat] :
( ( ( SV455
!= ( restrict_b_nat @ SV455 ) )
= $true )
| ( ( SV524
!= ( restrict_b_nat @ SV524 ) )
= $true )
| ( ( ( graph_union_b_nat @ SV455 @ SV524 )
!= SV524 )
= $true )
| ( ( ~ ( ~ ( graph_529870330at_nat @ SV455 @ SV524 @ ( id_on_nat @ ( labele460410879_b_nat @ SV455 ) ) )
| ~ ~ ( ~ ~ ( ( SV455
!= ( restrict_b_nat @ SV455 ) )
| ( SV524
!= ( restrict_b_nat @ SV524 ) ) )
| ( ( graph_union_b_nat @ SV455 @ SV524 )
!= SV524 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3279]) ).
thf(3324,plain,
! [SV462: labeled_graph_b_nat,SV529: produc1235635379_b_nat] :
( ( ( SV529
!= ( produc951298923_b_nat @ ( sK79_SY823 @ SV462 @ SV529 ) @ SV462 ) )
= $false )
| ( ( SV462
= ( produc194497945_b_nat @ SV529 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[3282]) ).
thf(3325,plain,
! [SV611: labeled_graph_b_nat,SV529: produc1235635379_b_nat,SV462: labeled_graph_b_nat] :
( ( ( SV462
!= ( produc194497945_b_nat @ SV529 ) )
= $false )
| ( ( SV529
= ( produc951298923_b_nat @ SV611 @ SV462 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3283]) ).
thf(3326,plain,
! [SV611: labeled_graph_b_nat,SV462: labeled_graph_b_nat,SV529: produc1235635379_b_nat] :
( ( ( ~ ~ ! [SY823: labeled_graph_b_nat] :
( SV529
!= ( produc951298923_b_nat @ SY823 @ SV462 ) ) )
= $false )
| ( ( SV529
= ( produc951298923_b_nat @ SV611 @ SV462 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3283]) ).
thf(3327,plain,
! [SV532: allegorical_term_b,SV465: allegorical_term_b] :
( ( graph_529870330at_nat @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV465 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV465 @ SV532 ) ) ) ) @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV465 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV465 @ SV532 ) ) ) ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV465 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV465 @ SV532 ) ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[3284]) ).
thf(3328,plain,
! [SV532: allegorical_term_b,SV465: allegorical_term_b] :
( ( ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV465 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV465 @ SV532 ) ) ) )
= ( restrict_b_nat @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV465 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV465 @ SV532 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[3285]) ).
thf(3329,plain,
! [SV600: produc1478835367term_b,SV533: produc1478835367term_b] :
( ( ( SV533 = SV600 )
= $true )
| ( ( SV533 = SV600 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3286]) ).
thf(3330,plain,
! [SV600: produc1478835367term_b,SV533: produc1478835367term_b] :
( ( ( ~ ( ( ( produc854192515term_b @ SV533 )
!= ( produc854192515term_b @ SV600 ) )
| ( ( produc1223098053term_b @ SV533 )
!= ( produc1223098053term_b @ SV600 ) ) ) )
= $true )
| ( ( SV533 = SV600 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3287]) ).
thf(3331,plain,
! [SV600: produc1478835367term_b,SV533: produc1478835367term_b] :
( ( ( ( produc854192515term_b @ SV533 )
= ( produc854192515term_b @ SV600 ) )
= $false )
| ( ( ( produc1223098053term_b @ SV533 )
!= ( produc1223098053term_b @ SV600 ) )
= $true )
| ( ( ~ ( ( SV533 != SV600 )
| ~ ~ ( ( ( produc854192515term_b @ SV533 )
!= ( produc854192515term_b @ SV600 ) )
| ( ( produc1223098053term_b @ SV533 )
!= ( produc1223098053term_b @ SV600 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3288]) ).
thf(3332,plain,
! [SV601: allegorical_term_b,SV576: allegorical_term_b,SV535: allegorical_term_b,SV469: allegorical_term_b] :
( ( ( ( produc1990145943term_b @ SV469 @ SV535 )
= ( produc1990145943term_b @ SV576 @ SV601 ) )
= $true )
| ( ( ( produc1990145943term_b @ SV469 @ SV535 )
= ( produc1990145943term_b @ SV576 @ SV601 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3289]) ).
thf(3333,plain,
! [SV601: allegorical_term_b,SV535: allegorical_term_b,SV576: allegorical_term_b,SV469: allegorical_term_b] :
( ( ( ~ ( ( SV469 != SV576 )
| ( SV535 != SV601 ) ) )
= $true )
| ( ( ( produc1990145943term_b @ SV469 @ SV535 )
= ( produc1990145943term_b @ SV576 @ SV601 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3290]) ).
thf(3334,plain,
! [SV601: allegorical_term_b,SV535: allegorical_term_b,SV576: allegorical_term_b,SV469: allegorical_term_b] :
( ( ( SV469 = SV576 )
= $false )
| ( ( SV535 != SV601 )
= $true )
| ( ( ~ ( ( ( produc1990145943term_b @ SV469 @ SV535 )
!= ( produc1990145943term_b @ SV576 @ SV601 ) )
| ~ ~ ( ( SV469 != SV576 )
| ( SV535 != SV601 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3291]) ).
thf(3335,plain,
! [SV470: allegorical_term_b,SV536: produc1478835367term_b] :
( ( ( SV536
!= ( produc1990145943term_b @ ( sK80_SY830 @ SV470 @ SV536 ) @ SV470 ) )
= $false )
| ( ( SV470
= ( produc1223098053term_b @ SV536 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[3292]) ).
thf(3336,plain,
! [SV612: allegorical_term_b,SV536: produc1478835367term_b,SV470: allegorical_term_b] :
( ( ( SV470
!= ( produc1223098053term_b @ SV536 ) )
= $false )
| ( ( SV536
= ( produc1990145943term_b @ SV612 @ SV470 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3293]) ).
thf(3337,plain,
! [SV612: allegorical_term_b,SV470: allegorical_term_b,SV536: produc1478835367term_b] :
( ( ( ~ ~ ! [SY830: allegorical_term_b] :
( SV536
!= ( produc1990145943term_b @ SY830 @ SV470 ) ) )
= $false )
| ( ( SV536
= ( produc1990145943term_b @ SV612 @ SV470 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3293]) ).
thf(3338,plain,
! [SV602: labeled_graph_b_nat,SV579: labeled_graph_b_nat,SV541: labeled_graph_b_nat,SV475: labeled_graph_b_nat] :
( ( ( ( produc951298923_b_nat @ SV475 @ SV541 )
= ( produc951298923_b_nat @ SV579 @ SV602 ) )
= $true )
| ( ( ( produc951298923_b_nat @ SV475 @ SV541 )
= ( produc951298923_b_nat @ SV579 @ SV602 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3294]) ).
thf(3339,plain,
! [SV602: labeled_graph_b_nat,SV541: labeled_graph_b_nat,SV579: labeled_graph_b_nat,SV475: labeled_graph_b_nat] :
( ( ( ~ ( ( SV475 != SV579 )
| ( SV541 != SV602 ) ) )
= $true )
| ( ( ( produc951298923_b_nat @ SV475 @ SV541 )
= ( produc951298923_b_nat @ SV579 @ SV602 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3295]) ).
thf(3340,plain,
! [SV602: labeled_graph_b_nat,SV541: labeled_graph_b_nat,SV579: labeled_graph_b_nat,SV475: labeled_graph_b_nat] :
( ( ( SV475 = SV579 )
= $false )
| ( ( SV541 != SV602 )
= $true )
| ( ( ~ ( ( ( produc951298923_b_nat @ SV475 @ SV541 )
!= ( produc951298923_b_nat @ SV579 @ SV602 ) )
| ~ ~ ( ( SV475 != SV579 )
| ( SV541 != SV602 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3296]) ).
thf(3341,plain,
! [SV580: allegorical_term_b > $o,SV603: allegorical_term_b,SV542: allegorical_term_b,SV476: allegorical_term_b > $o] :
( ( ( SV476 @ ( produc854192515term_b @ ( produc1990145943term_b @ SV542 @ SV603 ) ) )
= $true )
| ( ( SV580 @ SV603 )
= $false )
| ( ( SV476 @ SV542 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3297]) ).
thf(3342,plain,
! [SV476: allegorical_term_b > $o,SV603: allegorical_term_b,SV542: allegorical_term_b,SV580: allegorical_term_b > $o] :
( ( ( SV580 @ ( produc1223098053term_b @ ( produc1990145943term_b @ SV542 @ SV603 ) ) )
= $true )
| ( ( SV580 @ SV603 )
= $false )
| ( ( SV476 @ SV542 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3298]) ).
thf(3343,plain,
! [SV606: allegorical_term_b,SV588: allegorical_term_b,SV556: allegorical_term_b,SV493: allegorical_term_b] :
( ( ( ( allegorical_A_Int_b @ SV493 @ SV556 )
= ( allegorical_A_Int_b @ SV588 @ SV606 ) )
= $true )
| ( ( ( allegorical_A_Int_b @ SV493 @ SV556 )
= ( allegorical_A_Int_b @ SV588 @ SV606 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3301]) ).
thf(3344,plain,
! [SV606: allegorical_term_b,SV556: allegorical_term_b,SV588: allegorical_term_b,SV493: allegorical_term_b] :
( ( ( ~ ( ( SV493 != SV588 )
| ( SV556 != SV606 ) ) )
= $true )
| ( ( ( allegorical_A_Int_b @ SV493 @ SV556 )
= ( allegorical_A_Int_b @ SV588 @ SV606 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3302]) ).
thf(3345,plain,
! [SV606: allegorical_term_b,SV556: allegorical_term_b,SV588: allegorical_term_b,SV493: allegorical_term_b] :
( ( ( SV493 = SV588 )
= $false )
| ( ( SV556 != SV606 )
= $true )
| ( ( ~ ( ( ( allegorical_A_Int_b @ SV493 @ SV556 )
!= ( allegorical_A_Int_b @ SV588 @ SV606 ) )
| ~ ~ ( ( SV493 != SV588 )
| ( SV556 != SV606 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3303]) ).
thf(3346,plain,
! [SV607: allegorical_term_b,SV589: allegorical_term_b,SV559: allegorical_term_b,SV496: allegorical_term_b] :
( ( ( ( produc1990145943term_b @ SV496 @ SV559 )
= ( produc1990145943term_b @ SV589 @ SV607 ) )
= $true )
| ( ( ( produc1990145943term_b @ SV496 @ SV559 )
= ( produc1990145943term_b @ SV589 @ SV607 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3304]) ).
thf(3347,plain,
! [SV607: allegorical_term_b,SV559: allegorical_term_b,SV589: allegorical_term_b,SV496: allegorical_term_b] :
( ( ( ~ ( ( SV496 != SV589 )
| ( SV559 != SV607 ) ) )
= $true )
| ( ( ( produc1990145943term_b @ SV496 @ SV559 )
= ( produc1990145943term_b @ SV589 @ SV607 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3305]) ).
thf(3348,plain,
! [SV607: allegorical_term_b,SV559: allegorical_term_b,SV589: allegorical_term_b,SV496: allegorical_term_b] :
( ( ( SV496 = SV589 )
= $false )
| ( ( SV559 != SV607 )
= $true )
| ( ( ~ ( ( ( produc1990145943term_b @ SV496 @ SV559 )
!= ( produc1990145943term_b @ SV589 @ SV607 ) )
| ~ ~ ( ( SV496 != SV589 )
| ( SV559 != SV607 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3306]) ).
thf(3349,plain,
! [SV592: produc1235635379_b_nat,SV508: produc1235635379_b_nat] :
( ( ( ( ( produc1542243159_b_nat @ SV508 )
!= ( produc1542243159_b_nat @ SV592 ) )
| ( ( produc194497945_b_nat @ SV508 )
!= ( produc194497945_b_nat @ SV592 ) ) )
= $false )
| ( ( SV508 = SV592 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3310]) ).
thf(3350,plain,
! [SV592: produc1235635379_b_nat,SV508: produc1235635379_b_nat] :
( ( ( ( produc194497945_b_nat @ SV508 )
= ( produc194497945_b_nat @ SV592 ) )
= $false )
| ( ( ( produc1542243159_b_nat @ SV508 )
= ( produc1542243159_b_nat @ SV592 ) )
= $false )
| ( ( ~ ( ( SV508 != SV592 )
| ~ ~ ( ( ( produc1542243159_b_nat @ SV508 )
!= ( produc1542243159_b_nat @ SV592 ) )
| ( ( produc194497945_b_nat @ SV508 )
!= ( produc194497945_b_nat @ SV592 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3311]) ).
thf(3351,plain,
! [SV442: labeled_graph_b_nat,SV512: produc1235635379_b_nat] :
( ( ( SV512
= ( produc951298923_b_nat @ SV442 @ ( sK77_SY805 @ SV442 @ SV512 ) ) )
= $true )
| ( ( SV442
= ( produc1542243159_b_nat @ SV512 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3312]) ).
thf(3352,plain,
! [SV609: labeled_graph_b_nat,SV512: produc1235635379_b_nat,SV442: labeled_graph_b_nat] :
( ( ( SV442
= ( produc1542243159_b_nat @ SV512 ) )
= $true )
| ( ( SV512
= ( produc951298923_b_nat @ SV442 @ SV609 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3313]) ).
thf(3353,plain,
! [SV609: labeled_graph_b_nat,SV442: labeled_graph_b_nat,SV512: produc1235635379_b_nat] :
( ( ( ~ ! [SY805: labeled_graph_b_nat] :
( SV512
!= ( produc951298923_b_nat @ SV442 @ SY805 ) ) )
= $true )
| ( ( SV512
= ( produc951298923_b_nat @ SV442 @ SV609 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3314]) ).
thf(3354,plain,
! [SV448: allegorical_term_b,SV518: produc1478835367term_b] :
( ( ( SV518
= ( produc1990145943term_b @ SV448 @ ( sK78_SY811 @ SV448 @ SV518 ) ) )
= $true )
| ( ( SV448
= ( produc854192515term_b @ SV518 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3315]) ).
thf(3355,plain,
! [SV610: allegorical_term_b,SV518: produc1478835367term_b,SV448: allegorical_term_b] :
( ( ( SV448
= ( produc854192515term_b @ SV518 ) )
= $true )
| ( ( SV518
= ( produc1990145943term_b @ SV448 @ SV610 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3316]) ).
thf(3356,plain,
! [SV610: allegorical_term_b,SV448: allegorical_term_b,SV518: produc1478835367term_b] :
( ( ( ~ ! [SY811: allegorical_term_b] :
( SV518
!= ( produc1990145943term_b @ SV448 @ SY811 ) ) )
= $true )
| ( ( SV518
= ( produc1990145943term_b @ SV448 @ SV610 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3317]) ).
thf(3357,plain,
! [SV598: labeled_graph_b_nat,SV522: labeled_graph_b_nat,SV570: labeled_graph_b_nat,SV453: labeled_graph_b_nat] :
( ( ( ( SV453 != SV570 )
| ( SV522 != SV598 ) )
= $false )
| ( ( ( produc951298923_b_nat @ SV453 @ SV522 )
= ( produc951298923_b_nat @ SV570 @ SV598 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3319]) ).
thf(3358,plain,
! [SV570: labeled_graph_b_nat,SV453: labeled_graph_b_nat,SV598: labeled_graph_b_nat,SV522: labeled_graph_b_nat] :
( ( ( SV522 = SV598 )
= $false )
| ( ( SV453 = SV570 )
= $false )
| ( ( ~ ( ( ( produc951298923_b_nat @ SV453 @ SV522 )
!= ( produc951298923_b_nat @ SV570 @ SV598 ) )
| ~ ~ ( ( SV453 != SV570 )
| ( SV522 != SV598 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3320]) ).
thf(3359,plain,
! [SV524: labeled_graph_b_nat,SV455: labeled_graph_b_nat] :
( ( ( ~ ( ( SV455
!= ( restrict_b_nat @ SV455 ) )
| ( SV524
!= ( restrict_b_nat @ SV524 ) ) ) )
= $true )
| ( ( graph_529870330at_nat @ SV455 @ SV524 @ ( id_on_nat @ ( labele460410879_b_nat @ SV455 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3321]) ).
thf(3360,plain,
! [SV524: labeled_graph_b_nat,SV455: labeled_graph_b_nat] :
( ( ( ( graph_union_b_nat @ SV455 @ SV524 )
= SV524 )
= $true )
| ( ( graph_529870330at_nat @ SV455 @ SV524 @ ( id_on_nat @ ( labele460410879_b_nat @ SV455 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3322]) ).
thf(3361,plain,
! [SV524: labeled_graph_b_nat,SV455: labeled_graph_b_nat] :
( ( ( SV455
= ( restrict_b_nat @ SV455 ) )
= $false )
| ( ( SV524
!= ( restrict_b_nat @ SV524 ) )
= $true )
| ( ( ( graph_union_b_nat @ SV455 @ SV524 )
!= SV524 )
= $true )
| ( ( ~ ( ~ ( graph_529870330at_nat @ SV455 @ SV524 @ ( id_on_nat @ ( labele460410879_b_nat @ SV455 ) ) )
| ~ ~ ( ~ ~ ( ( SV455
!= ( restrict_b_nat @ SV455 ) )
| ( SV524
!= ( restrict_b_nat @ SV524 ) ) )
| ( ( graph_union_b_nat @ SV455 @ SV524 )
!= SV524 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3323]) ).
thf(3362,plain,
! [SV462: labeled_graph_b_nat,SV529: produc1235635379_b_nat] :
( ( ( SV529
= ( produc951298923_b_nat @ ( sK79_SY823 @ SV462 @ SV529 ) @ SV462 ) )
= $true )
| ( ( SV462
= ( produc194497945_b_nat @ SV529 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3324]) ).
thf(3363,plain,
! [SV611: labeled_graph_b_nat,SV529: produc1235635379_b_nat,SV462: labeled_graph_b_nat] :
( ( ( SV462
= ( produc194497945_b_nat @ SV529 ) )
= $true )
| ( ( SV529
= ( produc951298923_b_nat @ SV611 @ SV462 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3325]) ).
thf(3364,plain,
! [SV611: labeled_graph_b_nat,SV462: labeled_graph_b_nat,SV529: produc1235635379_b_nat] :
( ( ( ~ ! [SY823: labeled_graph_b_nat] :
( SV529
!= ( produc951298923_b_nat @ SY823 @ SV462 ) ) )
= $true )
| ( ( SV529
= ( produc951298923_b_nat @ SV611 @ SV462 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3326]) ).
thf(3365,plain,
! [SV600: produc1478835367term_b,SV533: produc1478835367term_b] :
( ( ( ( ( produc854192515term_b @ SV533 )
!= ( produc854192515term_b @ SV600 ) )
| ( ( produc1223098053term_b @ SV533 )
!= ( produc1223098053term_b @ SV600 ) ) )
= $false )
| ( ( SV533 = SV600 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3330]) ).
thf(3366,plain,
! [SV600: produc1478835367term_b,SV533: produc1478835367term_b] :
( ( ( ( produc1223098053term_b @ SV533 )
= ( produc1223098053term_b @ SV600 ) )
= $false )
| ( ( ( produc854192515term_b @ SV533 )
= ( produc854192515term_b @ SV600 ) )
= $false )
| ( ( ~ ( ( SV533 != SV600 )
| ~ ~ ( ( ( produc854192515term_b @ SV533 )
!= ( produc854192515term_b @ SV600 ) )
| ( ( produc1223098053term_b @ SV533 )
!= ( produc1223098053term_b @ SV600 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3331]) ).
thf(3367,plain,
! [SV601: allegorical_term_b,SV535: allegorical_term_b,SV576: allegorical_term_b,SV469: allegorical_term_b] :
( ( ( ( SV469 != SV576 )
| ( SV535 != SV601 ) )
= $false )
| ( ( ( produc1990145943term_b @ SV469 @ SV535 )
= ( produc1990145943term_b @ SV576 @ SV601 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3333]) ).
thf(3368,plain,
! [SV576: allegorical_term_b,SV469: allegorical_term_b,SV601: allegorical_term_b,SV535: allegorical_term_b] :
( ( ( SV535 = SV601 )
= $false )
| ( ( SV469 = SV576 )
= $false )
| ( ( ~ ( ( ( produc1990145943term_b @ SV469 @ SV535 )
!= ( produc1990145943term_b @ SV576 @ SV601 ) )
| ~ ~ ( ( SV469 != SV576 )
| ( SV535 != SV601 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3334]) ).
thf(3369,plain,
! [SV470: allegorical_term_b,SV536: produc1478835367term_b] :
( ( ( SV536
= ( produc1990145943term_b @ ( sK80_SY830 @ SV470 @ SV536 ) @ SV470 ) )
= $true )
| ( ( SV470
= ( produc1223098053term_b @ SV536 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3335]) ).
thf(3370,plain,
! [SV612: allegorical_term_b,SV536: produc1478835367term_b,SV470: allegorical_term_b] :
( ( ( SV470
= ( produc1223098053term_b @ SV536 ) )
= $true )
| ( ( SV536
= ( produc1990145943term_b @ SV612 @ SV470 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3336]) ).
thf(3371,plain,
! [SV612: allegorical_term_b,SV470: allegorical_term_b,SV536: produc1478835367term_b] :
( ( ( ~ ! [SY830: allegorical_term_b] :
( SV536
!= ( produc1990145943term_b @ SY830 @ SV470 ) ) )
= $true )
| ( ( SV536
= ( produc1990145943term_b @ SV612 @ SV470 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3337]) ).
thf(3372,plain,
! [SV602: labeled_graph_b_nat,SV541: labeled_graph_b_nat,SV579: labeled_graph_b_nat,SV475: labeled_graph_b_nat] :
( ( ( ( SV475 != SV579 )
| ( SV541 != SV602 ) )
= $false )
| ( ( ( produc951298923_b_nat @ SV475 @ SV541 )
= ( produc951298923_b_nat @ SV579 @ SV602 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3339]) ).
thf(3373,plain,
! [SV579: labeled_graph_b_nat,SV475: labeled_graph_b_nat,SV602: labeled_graph_b_nat,SV541: labeled_graph_b_nat] :
( ( ( SV541 = SV602 )
= $false )
| ( ( SV475 = SV579 )
= $false )
| ( ( ~ ( ( ( produc951298923_b_nat @ SV475 @ SV541 )
!= ( produc951298923_b_nat @ SV579 @ SV602 ) )
| ~ ~ ( ( SV475 != SV579 )
| ( SV541 != SV602 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3340]) ).
thf(3374,plain,
! [SV606: allegorical_term_b,SV556: allegorical_term_b,SV588: allegorical_term_b,SV493: allegorical_term_b] :
( ( ( ( SV493 != SV588 )
| ( SV556 != SV606 ) )
= $false )
| ( ( ( allegorical_A_Int_b @ SV493 @ SV556 )
= ( allegorical_A_Int_b @ SV588 @ SV606 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3344]) ).
thf(3375,plain,
! [SV588: allegorical_term_b,SV493: allegorical_term_b,SV606: allegorical_term_b,SV556: allegorical_term_b] :
( ( ( SV556 = SV606 )
= $false )
| ( ( SV493 = SV588 )
= $false )
| ( ( ~ ( ( ( allegorical_A_Int_b @ SV493 @ SV556 )
!= ( allegorical_A_Int_b @ SV588 @ SV606 ) )
| ~ ~ ( ( SV493 != SV588 )
| ( SV556 != SV606 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3345]) ).
thf(3376,plain,
! [SV607: allegorical_term_b,SV559: allegorical_term_b,SV589: allegorical_term_b,SV496: allegorical_term_b] :
( ( ( ( SV496 != SV589 )
| ( SV559 != SV607 ) )
= $false )
| ( ( ( produc1990145943term_b @ SV496 @ SV559 )
= ( produc1990145943term_b @ SV589 @ SV607 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3347]) ).
thf(3377,plain,
! [SV589: allegorical_term_b,SV496: allegorical_term_b,SV607: allegorical_term_b,SV559: allegorical_term_b] :
( ( ( SV559 = SV607 )
= $false )
| ( ( SV496 = SV589 )
= $false )
| ( ( ~ ( ( ( produc1990145943term_b @ SV496 @ SV559 )
!= ( produc1990145943term_b @ SV589 @ SV607 ) )
| ~ ~ ( ( SV496 != SV589 )
| ( SV559 != SV607 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3348]) ).
thf(3378,plain,
! [SV592: produc1235635379_b_nat,SV508: produc1235635379_b_nat] :
( ( ( ( produc1542243159_b_nat @ SV508 )
!= ( produc1542243159_b_nat @ SV592 ) )
= $false )
| ( ( SV508 = SV592 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3349]) ).
thf(3379,plain,
! [SV592: produc1235635379_b_nat,SV508: produc1235635379_b_nat] :
( ( ( ( produc194497945_b_nat @ SV508 )
!= ( produc194497945_b_nat @ SV592 ) )
= $false )
| ( ( SV508 = SV592 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3349]) ).
thf(3380,plain,
! [SV592: produc1235635379_b_nat,SV508: produc1235635379_b_nat] :
( ( ( ( SV508 != SV592 )
| ~ ~ ( ( ( produc1542243159_b_nat @ SV508 )
!= ( produc1542243159_b_nat @ SV592 ) )
| ( ( produc194497945_b_nat @ SV508 )
!= ( produc194497945_b_nat @ SV592 ) ) ) )
= $false )
| ( ( ( produc1542243159_b_nat @ SV508 )
= ( produc1542243159_b_nat @ SV592 ) )
= $false )
| ( ( ( produc194497945_b_nat @ SV508 )
= ( produc194497945_b_nat @ SV592 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3350]) ).
thf(3381,plain,
! [SV609: labeled_graph_b_nat,SV442: labeled_graph_b_nat,SV512: produc1235635379_b_nat] :
( ( ( ! [SY805: labeled_graph_b_nat] :
( SV512
!= ( produc951298923_b_nat @ SV442 @ SY805 ) ) )
= $false )
| ( ( SV512
= ( produc951298923_b_nat @ SV442 @ SV609 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3353]) ).
thf(3382,plain,
! [SV610: allegorical_term_b,SV448: allegorical_term_b,SV518: produc1478835367term_b] :
( ( ( ! [SY811: allegorical_term_b] :
( SV518
!= ( produc1990145943term_b @ SV448 @ SY811 ) ) )
= $false )
| ( ( SV518
= ( produc1990145943term_b @ SV448 @ SV610 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3356]) ).
thf(3383,plain,
! [SV598: labeled_graph_b_nat,SV522: labeled_graph_b_nat,SV570: labeled_graph_b_nat,SV453: labeled_graph_b_nat] :
( ( ( SV453 != SV570 )
= $false )
| ( ( ( produc951298923_b_nat @ SV453 @ SV522 )
= ( produc951298923_b_nat @ SV570 @ SV598 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3357]) ).
thf(3384,plain,
! [SV570: labeled_graph_b_nat,SV453: labeled_graph_b_nat,SV598: labeled_graph_b_nat,SV522: labeled_graph_b_nat] :
( ( ( SV522 != SV598 )
= $false )
| ( ( ( produc951298923_b_nat @ SV453 @ SV522 )
= ( produc951298923_b_nat @ SV570 @ SV598 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3357]) ).
thf(3385,plain,
! [SV598: labeled_graph_b_nat,SV570: labeled_graph_b_nat,SV522: labeled_graph_b_nat,SV453: labeled_graph_b_nat] :
( ( ( ( ( produc951298923_b_nat @ SV453 @ SV522 )
!= ( produc951298923_b_nat @ SV570 @ SV598 ) )
| ~ ~ ( ( SV453 != SV570 )
| ( SV522 != SV598 ) ) )
= $false )
| ( ( SV453 = SV570 )
= $false )
| ( ( SV522 = SV598 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3358]) ).
thf(3386,plain,
! [SV524: labeled_graph_b_nat,SV455: labeled_graph_b_nat] :
( ( ( ( SV455
!= ( restrict_b_nat @ SV455 ) )
| ( SV524
!= ( restrict_b_nat @ SV524 ) ) )
= $false )
| ( ( graph_529870330at_nat @ SV455 @ SV524 @ ( id_on_nat @ ( labele460410879_b_nat @ SV455 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3359]) ).
thf(3387,plain,
! [SV455: labeled_graph_b_nat,SV524: labeled_graph_b_nat] :
( ( ( SV524
= ( restrict_b_nat @ SV524 ) )
= $false )
| ( ( SV455
= ( restrict_b_nat @ SV455 ) )
= $false )
| ( ( ( graph_union_b_nat @ SV455 @ SV524 )
!= SV524 )
= $true )
| ( ( ~ ( ~ ( graph_529870330at_nat @ SV455 @ SV524 @ ( id_on_nat @ ( labele460410879_b_nat @ SV455 ) ) )
| ~ ~ ( ~ ~ ( ( SV455
!= ( restrict_b_nat @ SV455 ) )
| ( SV524
!= ( restrict_b_nat @ SV524 ) ) )
| ( ( graph_union_b_nat @ SV455 @ SV524 )
!= SV524 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3361]) ).
thf(3388,plain,
! [SV611: labeled_graph_b_nat,SV462: labeled_graph_b_nat,SV529: produc1235635379_b_nat] :
( ( ( ! [SY823: labeled_graph_b_nat] :
( SV529
!= ( produc951298923_b_nat @ SY823 @ SV462 ) ) )
= $false )
| ( ( SV529
= ( produc951298923_b_nat @ SV611 @ SV462 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3364]) ).
thf(3389,plain,
! [SV600: produc1478835367term_b,SV533: produc1478835367term_b] :
( ( ( ( produc854192515term_b @ SV533 )
!= ( produc854192515term_b @ SV600 ) )
= $false )
| ( ( SV533 = SV600 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3365]) ).
thf(3390,plain,
! [SV600: produc1478835367term_b,SV533: produc1478835367term_b] :
( ( ( ( produc1223098053term_b @ SV533 )
!= ( produc1223098053term_b @ SV600 ) )
= $false )
| ( ( SV533 = SV600 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3365]) ).
thf(3391,plain,
! [SV600: produc1478835367term_b,SV533: produc1478835367term_b] :
( ( ( ( SV533 != SV600 )
| ~ ~ ( ( ( produc854192515term_b @ SV533 )
!= ( produc854192515term_b @ SV600 ) )
| ( ( produc1223098053term_b @ SV533 )
!= ( produc1223098053term_b @ SV600 ) ) ) )
= $false )
| ( ( ( produc854192515term_b @ SV533 )
= ( produc854192515term_b @ SV600 ) )
= $false )
| ( ( ( produc1223098053term_b @ SV533 )
= ( produc1223098053term_b @ SV600 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3366]) ).
thf(3392,plain,
! [SV601: allegorical_term_b,SV535: allegorical_term_b,SV576: allegorical_term_b,SV469: allegorical_term_b] :
( ( ( SV469 != SV576 )
= $false )
| ( ( ( produc1990145943term_b @ SV469 @ SV535 )
= ( produc1990145943term_b @ SV576 @ SV601 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3367]) ).
thf(3393,plain,
! [SV576: allegorical_term_b,SV469: allegorical_term_b,SV601: allegorical_term_b,SV535: allegorical_term_b] :
( ( ( SV535 != SV601 )
= $false )
| ( ( ( produc1990145943term_b @ SV469 @ SV535 )
= ( produc1990145943term_b @ SV576 @ SV601 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3367]) ).
thf(3394,plain,
! [SV601: allegorical_term_b,SV576: allegorical_term_b,SV535: allegorical_term_b,SV469: allegorical_term_b] :
( ( ( ( ( produc1990145943term_b @ SV469 @ SV535 )
!= ( produc1990145943term_b @ SV576 @ SV601 ) )
| ~ ~ ( ( SV469 != SV576 )
| ( SV535 != SV601 ) ) )
= $false )
| ( ( SV469 = SV576 )
= $false )
| ( ( SV535 = SV601 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3368]) ).
thf(3395,plain,
! [SV612: allegorical_term_b,SV470: allegorical_term_b,SV536: produc1478835367term_b] :
( ( ( ! [SY830: allegorical_term_b] :
( SV536
!= ( produc1990145943term_b @ SY830 @ SV470 ) ) )
= $false )
| ( ( SV536
= ( produc1990145943term_b @ SV612 @ SV470 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3371]) ).
thf(3396,plain,
! [SV602: labeled_graph_b_nat,SV541: labeled_graph_b_nat,SV579: labeled_graph_b_nat,SV475: labeled_graph_b_nat] :
( ( ( SV475 != SV579 )
= $false )
| ( ( ( produc951298923_b_nat @ SV475 @ SV541 )
= ( produc951298923_b_nat @ SV579 @ SV602 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3372]) ).
thf(3397,plain,
! [SV579: labeled_graph_b_nat,SV475: labeled_graph_b_nat,SV602: labeled_graph_b_nat,SV541: labeled_graph_b_nat] :
( ( ( SV541 != SV602 )
= $false )
| ( ( ( produc951298923_b_nat @ SV475 @ SV541 )
= ( produc951298923_b_nat @ SV579 @ SV602 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3372]) ).
thf(3398,plain,
! [SV602: labeled_graph_b_nat,SV579: labeled_graph_b_nat,SV541: labeled_graph_b_nat,SV475: labeled_graph_b_nat] :
( ( ( ( ( produc951298923_b_nat @ SV475 @ SV541 )
!= ( produc951298923_b_nat @ SV579 @ SV602 ) )
| ~ ~ ( ( SV475 != SV579 )
| ( SV541 != SV602 ) ) )
= $false )
| ( ( SV475 = SV579 )
= $false )
| ( ( SV541 = SV602 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3373]) ).
thf(3399,plain,
! [SV606: allegorical_term_b,SV556: allegorical_term_b,SV588: allegorical_term_b,SV493: allegorical_term_b] :
( ( ( SV493 != SV588 )
= $false )
| ( ( ( allegorical_A_Int_b @ SV493 @ SV556 )
= ( allegorical_A_Int_b @ SV588 @ SV606 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3374]) ).
thf(3400,plain,
! [SV588: allegorical_term_b,SV493: allegorical_term_b,SV606: allegorical_term_b,SV556: allegorical_term_b] :
( ( ( SV556 != SV606 )
= $false )
| ( ( ( allegorical_A_Int_b @ SV493 @ SV556 )
= ( allegorical_A_Int_b @ SV588 @ SV606 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3374]) ).
thf(3401,plain,
! [SV606: allegorical_term_b,SV588: allegorical_term_b,SV556: allegorical_term_b,SV493: allegorical_term_b] :
( ( ( ( ( allegorical_A_Int_b @ SV493 @ SV556 )
!= ( allegorical_A_Int_b @ SV588 @ SV606 ) )
| ~ ~ ( ( SV493 != SV588 )
| ( SV556 != SV606 ) ) )
= $false )
| ( ( SV493 = SV588 )
= $false )
| ( ( SV556 = SV606 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3375]) ).
thf(3402,plain,
! [SV607: allegorical_term_b,SV559: allegorical_term_b,SV589: allegorical_term_b,SV496: allegorical_term_b] :
( ( ( SV496 != SV589 )
= $false )
| ( ( ( produc1990145943term_b @ SV496 @ SV559 )
= ( produc1990145943term_b @ SV589 @ SV607 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3376]) ).
thf(3403,plain,
! [SV589: allegorical_term_b,SV496: allegorical_term_b,SV607: allegorical_term_b,SV559: allegorical_term_b] :
( ( ( SV559 != SV607 )
= $false )
| ( ( ( produc1990145943term_b @ SV496 @ SV559 )
= ( produc1990145943term_b @ SV589 @ SV607 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3376]) ).
thf(3404,plain,
! [SV607: allegorical_term_b,SV589: allegorical_term_b,SV559: allegorical_term_b,SV496: allegorical_term_b] :
( ( ( ( ( produc1990145943term_b @ SV496 @ SV559 )
!= ( produc1990145943term_b @ SV589 @ SV607 ) )
| ~ ~ ( ( SV496 != SV589 )
| ( SV559 != SV607 ) ) )
= $false )
| ( ( SV496 = SV589 )
= $false )
| ( ( SV559 = SV607 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3377]) ).
thf(3405,plain,
! [SV592: produc1235635379_b_nat,SV508: produc1235635379_b_nat] :
( ( ( ( produc1542243159_b_nat @ SV508 )
= ( produc1542243159_b_nat @ SV592 ) )
= $true )
| ( ( SV508 = SV592 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3378]) ).
thf(3406,plain,
! [SV592: produc1235635379_b_nat,SV508: produc1235635379_b_nat] :
( ( ( ( produc194497945_b_nat @ SV508 )
= ( produc194497945_b_nat @ SV592 ) )
= $true )
| ( ( SV508 = SV592 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3379]) ).
thf(3407,plain,
! [SV592: produc1235635379_b_nat,SV508: produc1235635379_b_nat] :
( ( ( SV508 != SV592 )
= $false )
| ( ( ( produc1542243159_b_nat @ SV508 )
= ( produc1542243159_b_nat @ SV592 ) )
= $false )
| ( ( ( produc194497945_b_nat @ SV508 )
= ( produc194497945_b_nat @ SV592 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3380]) ).
thf(3408,plain,
! [SV592: produc1235635379_b_nat,SV508: produc1235635379_b_nat] :
( ( ( ~ ~ ( ( ( produc1542243159_b_nat @ SV508 )
!= ( produc1542243159_b_nat @ SV592 ) )
| ( ( produc194497945_b_nat @ SV508 )
!= ( produc194497945_b_nat @ SV592 ) ) ) )
= $false )
| ( ( ( produc1542243159_b_nat @ SV508 )
= ( produc1542243159_b_nat @ SV592 ) )
= $false )
| ( ( ( produc194497945_b_nat @ SV508 )
= ( produc194497945_b_nat @ SV592 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3380]) ).
thf(3409,plain,
! [SV609: labeled_graph_b_nat,SV442: labeled_graph_b_nat,SV512: produc1235635379_b_nat] :
( ( ( SV512
!= ( produc951298923_b_nat @ SV442 @ ( sK81_SY805 @ SV609 @ SV442 @ SV512 ) ) )
= $false )
| ( ( SV512
= ( produc951298923_b_nat @ SV442 @ SV609 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[3381]) ).
thf(3410,plain,
! [SV610: allegorical_term_b,SV448: allegorical_term_b,SV518: produc1478835367term_b] :
( ( ( SV518
!= ( produc1990145943term_b @ SV448 @ ( sK82_SY811 @ SV610 @ SV448 @ SV518 ) ) )
= $false )
| ( ( SV518
= ( produc1990145943term_b @ SV448 @ SV610 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[3382]) ).
thf(3411,plain,
! [SV598: labeled_graph_b_nat,SV522: labeled_graph_b_nat,SV570: labeled_graph_b_nat,SV453: labeled_graph_b_nat] :
( ( ( SV453 = SV570 )
= $true )
| ( ( ( produc951298923_b_nat @ SV453 @ SV522 )
= ( produc951298923_b_nat @ SV570 @ SV598 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3383]) ).
thf(3412,plain,
! [SV570: labeled_graph_b_nat,SV453: labeled_graph_b_nat,SV598: labeled_graph_b_nat,SV522: labeled_graph_b_nat] :
( ( ( SV522 = SV598 )
= $true )
| ( ( ( produc951298923_b_nat @ SV453 @ SV522 )
= ( produc951298923_b_nat @ SV570 @ SV598 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3384]) ).
thf(3413,plain,
! [SV598: labeled_graph_b_nat,SV570: labeled_graph_b_nat,SV522: labeled_graph_b_nat,SV453: labeled_graph_b_nat] :
( ( ( ( produc951298923_b_nat @ SV453 @ SV522 )
!= ( produc951298923_b_nat @ SV570 @ SV598 ) )
= $false )
| ( ( SV453 = SV570 )
= $false )
| ( ( SV522 = SV598 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3385]) ).
thf(3414,plain,
! [SV598: labeled_graph_b_nat,SV522: labeled_graph_b_nat,SV570: labeled_graph_b_nat,SV453: labeled_graph_b_nat] :
( ( ( ~ ~ ( ( SV453 != SV570 )
| ( SV522 != SV598 ) ) )
= $false )
| ( ( SV453 = SV570 )
= $false )
| ( ( SV522 = SV598 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3385]) ).
thf(3415,plain,
! [SV524: labeled_graph_b_nat,SV455: labeled_graph_b_nat] :
( ( ( SV455
!= ( restrict_b_nat @ SV455 ) )
= $false )
| ( ( graph_529870330at_nat @ SV455 @ SV524 @ ( id_on_nat @ ( labele460410879_b_nat @ SV455 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3386]) ).
thf(3416,plain,
! [SV455: labeled_graph_b_nat,SV524: labeled_graph_b_nat] :
( ( ( SV524
!= ( restrict_b_nat @ SV524 ) )
= $false )
| ( ( graph_529870330at_nat @ SV455 @ SV524 @ ( id_on_nat @ ( labele460410879_b_nat @ SV455 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3386]) ).
thf(3417,plain,
! [SV524: labeled_graph_b_nat,SV455: labeled_graph_b_nat] :
( ( ( ( graph_union_b_nat @ SV455 @ SV524 )
= SV524 )
= $false )
| ( ( SV455
= ( restrict_b_nat @ SV455 ) )
= $false )
| ( ( SV524
= ( restrict_b_nat @ SV524 ) )
= $false )
| ( ( ~ ( ~ ( graph_529870330at_nat @ SV455 @ SV524 @ ( id_on_nat @ ( labele460410879_b_nat @ SV455 ) ) )
| ~ ~ ( ~ ~ ( ( SV455
!= ( restrict_b_nat @ SV455 ) )
| ( SV524
!= ( restrict_b_nat @ SV524 ) ) )
| ( ( graph_union_b_nat @ SV455 @ SV524 )
!= SV524 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3387]) ).
thf(3418,plain,
! [SV462: labeled_graph_b_nat,SV611: labeled_graph_b_nat,SV529: produc1235635379_b_nat] :
( ( ( SV529
!= ( produc951298923_b_nat @ ( sK83_SY823 @ SV611 @ SV462 @ SV529 ) @ SV462 ) )
= $false )
| ( ( SV529
= ( produc951298923_b_nat @ SV611 @ SV462 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[3388]) ).
thf(3419,plain,
! [SV600: produc1478835367term_b,SV533: produc1478835367term_b] :
( ( ( ( produc854192515term_b @ SV533 )
= ( produc854192515term_b @ SV600 ) )
= $true )
| ( ( SV533 = SV600 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3389]) ).
thf(3420,plain,
! [SV600: produc1478835367term_b,SV533: produc1478835367term_b] :
( ( ( ( produc1223098053term_b @ SV533 )
= ( produc1223098053term_b @ SV600 ) )
= $true )
| ( ( SV533 = SV600 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3390]) ).
thf(3421,plain,
! [SV600: produc1478835367term_b,SV533: produc1478835367term_b] :
( ( ( SV533 != SV600 )
= $false )
| ( ( ( produc854192515term_b @ SV533 )
= ( produc854192515term_b @ SV600 ) )
= $false )
| ( ( ( produc1223098053term_b @ SV533 )
= ( produc1223098053term_b @ SV600 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3391]) ).
thf(3422,plain,
! [SV600: produc1478835367term_b,SV533: produc1478835367term_b] :
( ( ( ~ ~ ( ( ( produc854192515term_b @ SV533 )
!= ( produc854192515term_b @ SV600 ) )
| ( ( produc1223098053term_b @ SV533 )
!= ( produc1223098053term_b @ SV600 ) ) ) )
= $false )
| ( ( ( produc854192515term_b @ SV533 )
= ( produc854192515term_b @ SV600 ) )
= $false )
| ( ( ( produc1223098053term_b @ SV533 )
= ( produc1223098053term_b @ SV600 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3391]) ).
thf(3423,plain,
! [SV601: allegorical_term_b,SV535: allegorical_term_b,SV576: allegorical_term_b,SV469: allegorical_term_b] :
( ( ( SV469 = SV576 )
= $true )
| ( ( ( produc1990145943term_b @ SV469 @ SV535 )
= ( produc1990145943term_b @ SV576 @ SV601 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3392]) ).
thf(3424,plain,
! [SV576: allegorical_term_b,SV469: allegorical_term_b,SV601: allegorical_term_b,SV535: allegorical_term_b] :
( ( ( SV535 = SV601 )
= $true )
| ( ( ( produc1990145943term_b @ SV469 @ SV535 )
= ( produc1990145943term_b @ SV576 @ SV601 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3393]) ).
thf(3425,plain,
! [SV601: allegorical_term_b,SV576: allegorical_term_b,SV535: allegorical_term_b,SV469: allegorical_term_b] :
( ( ( ( produc1990145943term_b @ SV469 @ SV535 )
!= ( produc1990145943term_b @ SV576 @ SV601 ) )
= $false )
| ( ( SV469 = SV576 )
= $false )
| ( ( SV535 = SV601 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3394]) ).
thf(3426,plain,
! [SV601: allegorical_term_b,SV535: allegorical_term_b,SV576: allegorical_term_b,SV469: allegorical_term_b] :
( ( ( ~ ~ ( ( SV469 != SV576 )
| ( SV535 != SV601 ) ) )
= $false )
| ( ( SV469 = SV576 )
= $false )
| ( ( SV535 = SV601 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3394]) ).
thf(3427,plain,
! [SV470: allegorical_term_b,SV612: allegorical_term_b,SV536: produc1478835367term_b] :
( ( ( SV536
!= ( produc1990145943term_b @ ( sK84_SY830 @ SV612 @ SV470 @ SV536 ) @ SV470 ) )
= $false )
| ( ( SV536
= ( produc1990145943term_b @ SV612 @ SV470 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[3395]) ).
thf(3428,plain,
! [SV602: labeled_graph_b_nat,SV541: labeled_graph_b_nat,SV579: labeled_graph_b_nat,SV475: labeled_graph_b_nat] :
( ( ( SV475 = SV579 )
= $true )
| ( ( ( produc951298923_b_nat @ SV475 @ SV541 )
= ( produc951298923_b_nat @ SV579 @ SV602 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3396]) ).
thf(3429,plain,
! [SV579: labeled_graph_b_nat,SV475: labeled_graph_b_nat,SV602: labeled_graph_b_nat,SV541: labeled_graph_b_nat] :
( ( ( SV541 = SV602 )
= $true )
| ( ( ( produc951298923_b_nat @ SV475 @ SV541 )
= ( produc951298923_b_nat @ SV579 @ SV602 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3397]) ).
thf(3430,plain,
! [SV602: labeled_graph_b_nat,SV579: labeled_graph_b_nat,SV541: labeled_graph_b_nat,SV475: labeled_graph_b_nat] :
( ( ( ( produc951298923_b_nat @ SV475 @ SV541 )
!= ( produc951298923_b_nat @ SV579 @ SV602 ) )
= $false )
| ( ( SV475 = SV579 )
= $false )
| ( ( SV541 = SV602 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3398]) ).
thf(3431,plain,
! [SV602: labeled_graph_b_nat,SV541: labeled_graph_b_nat,SV579: labeled_graph_b_nat,SV475: labeled_graph_b_nat] :
( ( ( ~ ~ ( ( SV475 != SV579 )
| ( SV541 != SV602 ) ) )
= $false )
| ( ( SV475 = SV579 )
= $false )
| ( ( SV541 = SV602 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3398]) ).
thf(3432,plain,
! [SV606: allegorical_term_b,SV556: allegorical_term_b,SV588: allegorical_term_b,SV493: allegorical_term_b] :
( ( ( SV493 = SV588 )
= $true )
| ( ( ( allegorical_A_Int_b @ SV493 @ SV556 )
= ( allegorical_A_Int_b @ SV588 @ SV606 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3399]) ).
thf(3433,plain,
! [SV588: allegorical_term_b,SV493: allegorical_term_b,SV606: allegorical_term_b,SV556: allegorical_term_b] :
( ( ( SV556 = SV606 )
= $true )
| ( ( ( allegorical_A_Int_b @ SV493 @ SV556 )
= ( allegorical_A_Int_b @ SV588 @ SV606 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3400]) ).
thf(3434,plain,
! [SV606: allegorical_term_b,SV588: allegorical_term_b,SV556: allegorical_term_b,SV493: allegorical_term_b] :
( ( ( ( allegorical_A_Int_b @ SV493 @ SV556 )
!= ( allegorical_A_Int_b @ SV588 @ SV606 ) )
= $false )
| ( ( SV493 = SV588 )
= $false )
| ( ( SV556 = SV606 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3401]) ).
thf(3435,plain,
! [SV606: allegorical_term_b,SV556: allegorical_term_b,SV588: allegorical_term_b,SV493: allegorical_term_b] :
( ( ( ~ ~ ( ( SV493 != SV588 )
| ( SV556 != SV606 ) ) )
= $false )
| ( ( SV493 = SV588 )
= $false )
| ( ( SV556 = SV606 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3401]) ).
thf(3436,plain,
! [SV607: allegorical_term_b,SV559: allegorical_term_b,SV589: allegorical_term_b,SV496: allegorical_term_b] :
( ( ( SV496 = SV589 )
= $true )
| ( ( ( produc1990145943term_b @ SV496 @ SV559 )
= ( produc1990145943term_b @ SV589 @ SV607 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3402]) ).
thf(3437,plain,
! [SV589: allegorical_term_b,SV496: allegorical_term_b,SV607: allegorical_term_b,SV559: allegorical_term_b] :
( ( ( SV559 = SV607 )
= $true )
| ( ( ( produc1990145943term_b @ SV496 @ SV559 )
= ( produc1990145943term_b @ SV589 @ SV607 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3403]) ).
thf(3438,plain,
! [SV607: allegorical_term_b,SV589: allegorical_term_b,SV559: allegorical_term_b,SV496: allegorical_term_b] :
( ( ( ( produc1990145943term_b @ SV496 @ SV559 )
!= ( produc1990145943term_b @ SV589 @ SV607 ) )
= $false )
| ( ( SV496 = SV589 )
= $false )
| ( ( SV559 = SV607 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3404]) ).
thf(3439,plain,
! [SV607: allegorical_term_b,SV559: allegorical_term_b,SV589: allegorical_term_b,SV496: allegorical_term_b] :
( ( ( ~ ~ ( ( SV496 != SV589 )
| ( SV559 != SV607 ) ) )
= $false )
| ( ( SV496 = SV589 )
= $false )
| ( ( SV559 = SV607 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3404]) ).
thf(3440,plain,
! [SV592: produc1235635379_b_nat,SV508: produc1235635379_b_nat] :
( ( ( SV508 = SV592 )
= $true )
| ( ( ( produc1542243159_b_nat @ SV508 )
= ( produc1542243159_b_nat @ SV592 ) )
= $false )
| ( ( ( produc194497945_b_nat @ SV508 )
= ( produc194497945_b_nat @ SV592 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3407]) ).
thf(3441,plain,
! [SV592: produc1235635379_b_nat,SV508: produc1235635379_b_nat] :
( ( ( ~ ( ( ( produc1542243159_b_nat @ SV508 )
!= ( produc1542243159_b_nat @ SV592 ) )
| ( ( produc194497945_b_nat @ SV508 )
!= ( produc194497945_b_nat @ SV592 ) ) ) )
= $true )
| ( ( ( produc1542243159_b_nat @ SV508 )
= ( produc1542243159_b_nat @ SV592 ) )
= $false )
| ( ( ( produc194497945_b_nat @ SV508 )
= ( produc194497945_b_nat @ SV592 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3408]) ).
thf(3442,plain,
! [SV609: labeled_graph_b_nat,SV442: labeled_graph_b_nat,SV512: produc1235635379_b_nat] :
( ( ( SV512
= ( produc951298923_b_nat @ SV442 @ ( sK81_SY805 @ SV609 @ SV442 @ SV512 ) ) )
= $true )
| ( ( SV512
= ( produc951298923_b_nat @ SV442 @ SV609 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3409]) ).
thf(3443,plain,
! [SV610: allegorical_term_b,SV448: allegorical_term_b,SV518: produc1478835367term_b] :
( ( ( SV518
= ( produc1990145943term_b @ SV448 @ ( sK82_SY811 @ SV610 @ SV448 @ SV518 ) ) )
= $true )
| ( ( SV518
= ( produc1990145943term_b @ SV448 @ SV610 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3410]) ).
thf(3444,plain,
! [SV598: labeled_graph_b_nat,SV570: labeled_graph_b_nat,SV522: labeled_graph_b_nat,SV453: labeled_graph_b_nat] :
( ( ( ( produc951298923_b_nat @ SV453 @ SV522 )
= ( produc951298923_b_nat @ SV570 @ SV598 ) )
= $true )
| ( ( SV453 = SV570 )
= $false )
| ( ( SV522 = SV598 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3413]) ).
thf(3445,plain,
! [SV598: labeled_graph_b_nat,SV522: labeled_graph_b_nat,SV570: labeled_graph_b_nat,SV453: labeled_graph_b_nat] :
( ( ( ~ ( ( SV453 != SV570 )
| ( SV522 != SV598 ) ) )
= $true )
| ( ( SV453 = SV570 )
= $false )
| ( ( SV522 = SV598 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3414]) ).
thf(3446,plain,
! [SV524: labeled_graph_b_nat,SV455: labeled_graph_b_nat] :
( ( ( SV455
= ( restrict_b_nat @ SV455 ) )
= $true )
| ( ( graph_529870330at_nat @ SV455 @ SV524 @ ( id_on_nat @ ( labele460410879_b_nat @ SV455 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3415]) ).
thf(3447,plain,
! [SV455: labeled_graph_b_nat,SV524: labeled_graph_b_nat] :
( ( ( SV524
= ( restrict_b_nat @ SV524 ) )
= $true )
| ( ( graph_529870330at_nat @ SV455 @ SV524 @ ( id_on_nat @ ( labele460410879_b_nat @ SV455 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3416]) ).
thf(3448,plain,
! [SV524: labeled_graph_b_nat,SV455: labeled_graph_b_nat] :
( ( ( ~ ( graph_529870330at_nat @ SV455 @ SV524 @ ( id_on_nat @ ( labele460410879_b_nat @ SV455 ) ) )
| ~ ~ ( ~ ~ ( ( SV455
!= ( restrict_b_nat @ SV455 ) )
| ( SV524
!= ( restrict_b_nat @ SV524 ) ) )
| ( ( graph_union_b_nat @ SV455 @ SV524 )
!= SV524 ) ) )
= $false )
| ( ( SV524
= ( restrict_b_nat @ SV524 ) )
= $false )
| ( ( SV455
= ( restrict_b_nat @ SV455 ) )
= $false )
| ( ( ( graph_union_b_nat @ SV455 @ SV524 )
= SV524 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3417]) ).
thf(3449,plain,
! [SV462: labeled_graph_b_nat,SV611: labeled_graph_b_nat,SV529: produc1235635379_b_nat] :
( ( ( SV529
= ( produc951298923_b_nat @ ( sK83_SY823 @ SV611 @ SV462 @ SV529 ) @ SV462 ) )
= $true )
| ( ( SV529
= ( produc951298923_b_nat @ SV611 @ SV462 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3418]) ).
thf(3450,plain,
! [SV600: produc1478835367term_b,SV533: produc1478835367term_b] :
( ( ( SV533 = SV600 )
= $true )
| ( ( ( produc854192515term_b @ SV533 )
= ( produc854192515term_b @ SV600 ) )
= $false )
| ( ( ( produc1223098053term_b @ SV533 )
= ( produc1223098053term_b @ SV600 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3421]) ).
thf(3451,plain,
! [SV600: produc1478835367term_b,SV533: produc1478835367term_b] :
( ( ( ~ ( ( ( produc854192515term_b @ SV533 )
!= ( produc854192515term_b @ SV600 ) )
| ( ( produc1223098053term_b @ SV533 )
!= ( produc1223098053term_b @ SV600 ) ) ) )
= $true )
| ( ( ( produc854192515term_b @ SV533 )
= ( produc854192515term_b @ SV600 ) )
= $false )
| ( ( ( produc1223098053term_b @ SV533 )
= ( produc1223098053term_b @ SV600 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3422]) ).
thf(3452,plain,
! [SV601: allegorical_term_b,SV576: allegorical_term_b,SV535: allegorical_term_b,SV469: allegorical_term_b] :
( ( ( ( produc1990145943term_b @ SV469 @ SV535 )
= ( produc1990145943term_b @ SV576 @ SV601 ) )
= $true )
| ( ( SV469 = SV576 )
= $false )
| ( ( SV535 = SV601 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3425]) ).
thf(3453,plain,
! [SV601: allegorical_term_b,SV535: allegorical_term_b,SV576: allegorical_term_b,SV469: allegorical_term_b] :
( ( ( ~ ( ( SV469 != SV576 )
| ( SV535 != SV601 ) ) )
= $true )
| ( ( SV469 = SV576 )
= $false )
| ( ( SV535 = SV601 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3426]) ).
thf(3454,plain,
! [SV470: allegorical_term_b,SV612: allegorical_term_b,SV536: produc1478835367term_b] :
( ( ( SV536
= ( produc1990145943term_b @ ( sK84_SY830 @ SV612 @ SV470 @ SV536 ) @ SV470 ) )
= $true )
| ( ( SV536
= ( produc1990145943term_b @ SV612 @ SV470 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3427]) ).
thf(3455,plain,
! [SV602: labeled_graph_b_nat,SV579: labeled_graph_b_nat,SV541: labeled_graph_b_nat,SV475: labeled_graph_b_nat] :
( ( ( ( produc951298923_b_nat @ SV475 @ SV541 )
= ( produc951298923_b_nat @ SV579 @ SV602 ) )
= $true )
| ( ( SV475 = SV579 )
= $false )
| ( ( SV541 = SV602 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3430]) ).
thf(3456,plain,
! [SV602: labeled_graph_b_nat,SV541: labeled_graph_b_nat,SV579: labeled_graph_b_nat,SV475: labeled_graph_b_nat] :
( ( ( ~ ( ( SV475 != SV579 )
| ( SV541 != SV602 ) ) )
= $true )
| ( ( SV475 = SV579 )
= $false )
| ( ( SV541 = SV602 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3431]) ).
thf(3457,plain,
! [SV606: allegorical_term_b,SV588: allegorical_term_b,SV556: allegorical_term_b,SV493: allegorical_term_b] :
( ( ( ( allegorical_A_Int_b @ SV493 @ SV556 )
= ( allegorical_A_Int_b @ SV588 @ SV606 ) )
= $true )
| ( ( SV493 = SV588 )
= $false )
| ( ( SV556 = SV606 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3434]) ).
thf(3458,plain,
! [SV606: allegorical_term_b,SV556: allegorical_term_b,SV588: allegorical_term_b,SV493: allegorical_term_b] :
( ( ( ~ ( ( SV493 != SV588 )
| ( SV556 != SV606 ) ) )
= $true )
| ( ( SV493 = SV588 )
= $false )
| ( ( SV556 = SV606 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3435]) ).
thf(3459,plain,
! [SV607: allegorical_term_b,SV589: allegorical_term_b,SV559: allegorical_term_b,SV496: allegorical_term_b] :
( ( ( ( produc1990145943term_b @ SV496 @ SV559 )
= ( produc1990145943term_b @ SV589 @ SV607 ) )
= $true )
| ( ( SV496 = SV589 )
= $false )
| ( ( SV559 = SV607 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3438]) ).
thf(3460,plain,
! [SV607: allegorical_term_b,SV559: allegorical_term_b,SV589: allegorical_term_b,SV496: allegorical_term_b] :
( ( ( ~ ( ( SV496 != SV589 )
| ( SV559 != SV607 ) ) )
= $true )
| ( ( SV496 = SV589 )
= $false )
| ( ( SV559 = SV607 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3439]) ).
thf(3461,plain,
! [SV592: produc1235635379_b_nat,SV508: produc1235635379_b_nat] :
( ( ( ( ( produc1542243159_b_nat @ SV508 )
!= ( produc1542243159_b_nat @ SV592 ) )
| ( ( produc194497945_b_nat @ SV508 )
!= ( produc194497945_b_nat @ SV592 ) ) )
= $false )
| ( ( ( produc1542243159_b_nat @ SV508 )
= ( produc1542243159_b_nat @ SV592 ) )
= $false )
| ( ( ( produc194497945_b_nat @ SV508 )
= ( produc194497945_b_nat @ SV592 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3441]) ).
thf(3462,plain,
! [SV598: labeled_graph_b_nat,SV522: labeled_graph_b_nat,SV570: labeled_graph_b_nat,SV453: labeled_graph_b_nat] :
( ( ( ( SV453 != SV570 )
| ( SV522 != SV598 ) )
= $false )
| ( ( SV453 = SV570 )
= $false )
| ( ( SV522 = SV598 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3445]) ).
thf(3463,plain,
! [SV524: labeled_graph_b_nat,SV455: labeled_graph_b_nat] :
( ( ( ~ ( graph_529870330at_nat @ SV455 @ SV524 @ ( id_on_nat @ ( labele460410879_b_nat @ SV455 ) ) ) )
= $false )
| ( ( SV524
= ( restrict_b_nat @ SV524 ) )
= $false )
| ( ( SV455
= ( restrict_b_nat @ SV455 ) )
= $false )
| ( ( ( graph_union_b_nat @ SV455 @ SV524 )
= SV524 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3448]) ).
thf(3464,plain,
! [SV524: labeled_graph_b_nat,SV455: labeled_graph_b_nat] :
( ( ( ~ ~ ( ~ ~ ( ( SV455
!= ( restrict_b_nat @ SV455 ) )
| ( SV524
!= ( restrict_b_nat @ SV524 ) ) )
| ( ( graph_union_b_nat @ SV455 @ SV524 )
!= SV524 ) ) )
= $false )
| ( ( SV524
= ( restrict_b_nat @ SV524 ) )
= $false )
| ( ( SV455
= ( restrict_b_nat @ SV455 ) )
= $false )
| ( ( ( graph_union_b_nat @ SV455 @ SV524 )
= SV524 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3448]) ).
thf(3465,plain,
! [SV600: produc1478835367term_b,SV533: produc1478835367term_b] :
( ( ( ( ( produc854192515term_b @ SV533 )
!= ( produc854192515term_b @ SV600 ) )
| ( ( produc1223098053term_b @ SV533 )
!= ( produc1223098053term_b @ SV600 ) ) )
= $false )
| ( ( ( produc854192515term_b @ SV533 )
= ( produc854192515term_b @ SV600 ) )
= $false )
| ( ( ( produc1223098053term_b @ SV533 )
= ( produc1223098053term_b @ SV600 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3451]) ).
thf(3466,plain,
! [SV601: allegorical_term_b,SV535: allegorical_term_b,SV576: allegorical_term_b,SV469: allegorical_term_b] :
( ( ( ( SV469 != SV576 )
| ( SV535 != SV601 ) )
= $false )
| ( ( SV469 = SV576 )
= $false )
| ( ( SV535 = SV601 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3453]) ).
thf(3467,plain,
! [SV602: labeled_graph_b_nat,SV541: labeled_graph_b_nat,SV579: labeled_graph_b_nat,SV475: labeled_graph_b_nat] :
( ( ( ( SV475 != SV579 )
| ( SV541 != SV602 ) )
= $false )
| ( ( SV475 = SV579 )
= $false )
| ( ( SV541 = SV602 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3456]) ).
thf(3468,plain,
! [SV606: allegorical_term_b,SV556: allegorical_term_b,SV588: allegorical_term_b,SV493: allegorical_term_b] :
( ( ( ( SV493 != SV588 )
| ( SV556 != SV606 ) )
= $false )
| ( ( SV493 = SV588 )
= $false )
| ( ( SV556 = SV606 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3458]) ).
thf(3469,plain,
! [SV607: allegorical_term_b,SV559: allegorical_term_b,SV589: allegorical_term_b,SV496: allegorical_term_b] :
( ( ( ( SV496 != SV589 )
| ( SV559 != SV607 ) )
= $false )
| ( ( SV496 = SV589 )
= $false )
| ( ( SV559 = SV607 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3460]) ).
thf(3470,plain,
! [SV592: produc1235635379_b_nat,SV508: produc1235635379_b_nat] :
( ( ( ( produc1542243159_b_nat @ SV508 )
!= ( produc1542243159_b_nat @ SV592 ) )
= $false )
| ( ( ( produc1542243159_b_nat @ SV508 )
= ( produc1542243159_b_nat @ SV592 ) )
= $false )
| ( ( ( produc194497945_b_nat @ SV508 )
= ( produc194497945_b_nat @ SV592 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3461]) ).
thf(3471,plain,
! [SV592: produc1235635379_b_nat,SV508: produc1235635379_b_nat] :
( ( ( ( produc194497945_b_nat @ SV508 )
!= ( produc194497945_b_nat @ SV592 ) )
= $false )
| ( ( ( produc1542243159_b_nat @ SV508 )
= ( produc1542243159_b_nat @ SV592 ) )
= $false )
| ( ( ( produc194497945_b_nat @ SV508 )
= ( produc194497945_b_nat @ SV592 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3461]) ).
thf(3472,plain,
! [SV598: labeled_graph_b_nat,SV522: labeled_graph_b_nat,SV570: labeled_graph_b_nat,SV453: labeled_graph_b_nat] :
( ( ( SV453 != SV570 )
= $false )
| ( ( SV453 = SV570 )
= $false )
| ( ( SV522 = SV598 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3462]) ).
thf(3473,plain,
! [SV570: labeled_graph_b_nat,SV453: labeled_graph_b_nat,SV598: labeled_graph_b_nat,SV522: labeled_graph_b_nat] :
( ( ( SV522 != SV598 )
= $false )
| ( ( SV453 = SV570 )
= $false )
| ( ( SV522 = SV598 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3462]) ).
thf(3474,plain,
! [SV524: labeled_graph_b_nat,SV455: labeled_graph_b_nat] :
( ( ( graph_529870330at_nat @ SV455 @ SV524 @ ( id_on_nat @ ( labele460410879_b_nat @ SV455 ) ) )
= $true )
| ( ( SV524
= ( restrict_b_nat @ SV524 ) )
= $false )
| ( ( SV455
= ( restrict_b_nat @ SV455 ) )
= $false )
| ( ( ( graph_union_b_nat @ SV455 @ SV524 )
= SV524 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3463]) ).
thf(3475,plain,
! [SV524: labeled_graph_b_nat,SV455: labeled_graph_b_nat] :
( ( ( ~ ( ~ ~ ( ( SV455
!= ( restrict_b_nat @ SV455 ) )
| ( SV524
!= ( restrict_b_nat @ SV524 ) ) )
| ( ( graph_union_b_nat @ SV455 @ SV524 )
!= SV524 ) ) )
= $true )
| ( ( SV524
= ( restrict_b_nat @ SV524 ) )
= $false )
| ( ( SV455
= ( restrict_b_nat @ SV455 ) )
= $false )
| ( ( ( graph_union_b_nat @ SV455 @ SV524 )
= SV524 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3464]) ).
thf(3476,plain,
! [SV600: produc1478835367term_b,SV533: produc1478835367term_b] :
( ( ( ( produc854192515term_b @ SV533 )
!= ( produc854192515term_b @ SV600 ) )
= $false )
| ( ( ( produc854192515term_b @ SV533 )
= ( produc854192515term_b @ SV600 ) )
= $false )
| ( ( ( produc1223098053term_b @ SV533 )
= ( produc1223098053term_b @ SV600 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3465]) ).
thf(3477,plain,
! [SV600: produc1478835367term_b,SV533: produc1478835367term_b] :
( ( ( ( produc1223098053term_b @ SV533 )
!= ( produc1223098053term_b @ SV600 ) )
= $false )
| ( ( ( produc854192515term_b @ SV533 )
= ( produc854192515term_b @ SV600 ) )
= $false )
| ( ( ( produc1223098053term_b @ SV533 )
= ( produc1223098053term_b @ SV600 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3465]) ).
thf(3478,plain,
! [SV601: allegorical_term_b,SV535: allegorical_term_b,SV576: allegorical_term_b,SV469: allegorical_term_b] :
( ( ( SV469 != SV576 )
= $false )
| ( ( SV469 = SV576 )
= $false )
| ( ( SV535 = SV601 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3466]) ).
thf(3479,plain,
! [SV576: allegorical_term_b,SV469: allegorical_term_b,SV601: allegorical_term_b,SV535: allegorical_term_b] :
( ( ( SV535 != SV601 )
= $false )
| ( ( SV469 = SV576 )
= $false )
| ( ( SV535 = SV601 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3466]) ).
thf(3480,plain,
! [SV602: labeled_graph_b_nat,SV541: labeled_graph_b_nat,SV579: labeled_graph_b_nat,SV475: labeled_graph_b_nat] :
( ( ( SV475 != SV579 )
= $false )
| ( ( SV475 = SV579 )
= $false )
| ( ( SV541 = SV602 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3467]) ).
thf(3481,plain,
! [SV579: labeled_graph_b_nat,SV475: labeled_graph_b_nat,SV602: labeled_graph_b_nat,SV541: labeled_graph_b_nat] :
( ( ( SV541 != SV602 )
= $false )
| ( ( SV475 = SV579 )
= $false )
| ( ( SV541 = SV602 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3467]) ).
thf(3482,plain,
! [SV606: allegorical_term_b,SV556: allegorical_term_b,SV588: allegorical_term_b,SV493: allegorical_term_b] :
( ( ( SV493 != SV588 )
= $false )
| ( ( SV493 = SV588 )
= $false )
| ( ( SV556 = SV606 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3468]) ).
thf(3483,plain,
! [SV588: allegorical_term_b,SV493: allegorical_term_b,SV606: allegorical_term_b,SV556: allegorical_term_b] :
( ( ( SV556 != SV606 )
= $false )
| ( ( SV493 = SV588 )
= $false )
| ( ( SV556 = SV606 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3468]) ).
thf(3484,plain,
! [SV607: allegorical_term_b,SV559: allegorical_term_b,SV589: allegorical_term_b,SV496: allegorical_term_b] :
( ( ( SV496 != SV589 )
= $false )
| ( ( SV496 = SV589 )
= $false )
| ( ( SV559 = SV607 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3469]) ).
thf(3485,plain,
! [SV589: allegorical_term_b,SV496: allegorical_term_b,SV607: allegorical_term_b,SV559: allegorical_term_b] :
( ( ( SV559 != SV607 )
= $false )
| ( ( SV496 = SV589 )
= $false )
| ( ( SV559 = SV607 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3469]) ).
thf(3486,plain,
! [SV592: produc1235635379_b_nat,SV508: produc1235635379_b_nat] :
( ( ( ( produc1542243159_b_nat @ SV508 )
= ( produc1542243159_b_nat @ SV592 ) )
= $true )
| ( ( ( produc1542243159_b_nat @ SV508 )
= ( produc1542243159_b_nat @ SV592 ) )
= $false )
| ( ( ( produc194497945_b_nat @ SV508 )
= ( produc194497945_b_nat @ SV592 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3470]) ).
thf(3487,plain,
! [SV592: produc1235635379_b_nat,SV508: produc1235635379_b_nat] :
( ( ( ( produc194497945_b_nat @ SV508 )
= ( produc194497945_b_nat @ SV592 ) )
= $true )
| ( ( ( produc1542243159_b_nat @ SV508 )
= ( produc1542243159_b_nat @ SV592 ) )
= $false )
| ( ( ( produc194497945_b_nat @ SV508 )
= ( produc194497945_b_nat @ SV592 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3471]) ).
thf(3488,plain,
! [SV598: labeled_graph_b_nat,SV522: labeled_graph_b_nat,SV570: labeled_graph_b_nat,SV453: labeled_graph_b_nat] :
( ( ( SV453 = SV570 )
= $true )
| ( ( SV453 = SV570 )
= $false )
| ( ( SV522 = SV598 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3472]) ).
thf(3489,plain,
! [SV570: labeled_graph_b_nat,SV453: labeled_graph_b_nat,SV598: labeled_graph_b_nat,SV522: labeled_graph_b_nat] :
( ( ( SV522 = SV598 )
= $true )
| ( ( SV453 = SV570 )
= $false )
| ( ( SV522 = SV598 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3473]) ).
thf(3490,plain,
! [SV524: labeled_graph_b_nat,SV455: labeled_graph_b_nat] :
( ( ( ~ ~ ( ( SV455
!= ( restrict_b_nat @ SV455 ) )
| ( SV524
!= ( restrict_b_nat @ SV524 ) ) )
| ( ( graph_union_b_nat @ SV455 @ SV524 )
!= SV524 ) )
= $false )
| ( ( SV524
= ( restrict_b_nat @ SV524 ) )
= $false )
| ( ( SV455
= ( restrict_b_nat @ SV455 ) )
= $false )
| ( ( ( graph_union_b_nat @ SV455 @ SV524 )
= SV524 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3475]) ).
thf(3491,plain,
! [SV600: produc1478835367term_b,SV533: produc1478835367term_b] :
( ( ( ( produc854192515term_b @ SV533 )
= ( produc854192515term_b @ SV600 ) )
= $true )
| ( ( ( produc854192515term_b @ SV533 )
= ( produc854192515term_b @ SV600 ) )
= $false )
| ( ( ( produc1223098053term_b @ SV533 )
= ( produc1223098053term_b @ SV600 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3476]) ).
thf(3492,plain,
! [SV600: produc1478835367term_b,SV533: produc1478835367term_b] :
( ( ( ( produc1223098053term_b @ SV533 )
= ( produc1223098053term_b @ SV600 ) )
= $true )
| ( ( ( produc854192515term_b @ SV533 )
= ( produc854192515term_b @ SV600 ) )
= $false )
| ( ( ( produc1223098053term_b @ SV533 )
= ( produc1223098053term_b @ SV600 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3477]) ).
thf(3493,plain,
! [SV601: allegorical_term_b,SV535: allegorical_term_b,SV576: allegorical_term_b,SV469: allegorical_term_b] :
( ( ( SV469 = SV576 )
= $true )
| ( ( SV469 = SV576 )
= $false )
| ( ( SV535 = SV601 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3478]) ).
thf(3494,plain,
! [SV576: allegorical_term_b,SV469: allegorical_term_b,SV601: allegorical_term_b,SV535: allegorical_term_b] :
( ( ( SV535 = SV601 )
= $true )
| ( ( SV469 = SV576 )
= $false )
| ( ( SV535 = SV601 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3479]) ).
thf(3495,plain,
! [SV602: labeled_graph_b_nat,SV541: labeled_graph_b_nat,SV579: labeled_graph_b_nat,SV475: labeled_graph_b_nat] :
( ( ( SV475 = SV579 )
= $true )
| ( ( SV475 = SV579 )
= $false )
| ( ( SV541 = SV602 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3480]) ).
thf(3496,plain,
! [SV579: labeled_graph_b_nat,SV475: labeled_graph_b_nat,SV602: labeled_graph_b_nat,SV541: labeled_graph_b_nat] :
( ( ( SV541 = SV602 )
= $true )
| ( ( SV475 = SV579 )
= $false )
| ( ( SV541 = SV602 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3481]) ).
thf(3497,plain,
! [SV606: allegorical_term_b,SV556: allegorical_term_b,SV588: allegorical_term_b,SV493: allegorical_term_b] :
( ( ( SV493 = SV588 )
= $true )
| ( ( SV493 = SV588 )
= $false )
| ( ( SV556 = SV606 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3482]) ).
thf(3498,plain,
! [SV588: allegorical_term_b,SV493: allegorical_term_b,SV606: allegorical_term_b,SV556: allegorical_term_b] :
( ( ( SV556 = SV606 )
= $true )
| ( ( SV493 = SV588 )
= $false )
| ( ( SV556 = SV606 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3483]) ).
thf(3499,plain,
! [SV607: allegorical_term_b,SV559: allegorical_term_b,SV589: allegorical_term_b,SV496: allegorical_term_b] :
( ( ( SV496 = SV589 )
= $true )
| ( ( SV496 = SV589 )
= $false )
| ( ( SV559 = SV607 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3484]) ).
thf(3500,plain,
! [SV589: allegorical_term_b,SV496: allegorical_term_b,SV607: allegorical_term_b,SV559: allegorical_term_b] :
( ( ( SV559 = SV607 )
= $true )
| ( ( SV496 = SV589 )
= $false )
| ( ( SV559 = SV607 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3485]) ).
thf(3501,plain,
! [SV524: labeled_graph_b_nat,SV455: labeled_graph_b_nat] :
( ( ( ~ ~ ( ( SV455
!= ( restrict_b_nat @ SV455 ) )
| ( SV524
!= ( restrict_b_nat @ SV524 ) ) ) )
= $false )
| ( ( SV524
= ( restrict_b_nat @ SV524 ) )
= $false )
| ( ( SV455
= ( restrict_b_nat @ SV455 ) )
= $false )
| ( ( ( graph_union_b_nat @ SV455 @ SV524 )
= SV524 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3490]) ).
thf(3502,plain,
! [SV524: labeled_graph_b_nat,SV455: labeled_graph_b_nat] :
( ( ( ( graph_union_b_nat @ SV455 @ SV524 )
!= SV524 )
= $false )
| ( ( SV524
= ( restrict_b_nat @ SV524 ) )
= $false )
| ( ( SV455
= ( restrict_b_nat @ SV455 ) )
= $false )
| ( ( ( graph_union_b_nat @ SV455 @ SV524 )
= SV524 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3490]) ).
thf(3503,plain,
! [SV524: labeled_graph_b_nat,SV455: labeled_graph_b_nat] :
( ( ( ~ ( ( SV455
!= ( restrict_b_nat @ SV455 ) )
| ( SV524
!= ( restrict_b_nat @ SV524 ) ) ) )
= $true )
| ( ( SV524
= ( restrict_b_nat @ SV524 ) )
= $false )
| ( ( SV455
= ( restrict_b_nat @ SV455 ) )
= $false )
| ( ( ( graph_union_b_nat @ SV455 @ SV524 )
= SV524 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3501]) ).
thf(3504,plain,
! [SV524: labeled_graph_b_nat,SV455: labeled_graph_b_nat] :
( ( ( ( graph_union_b_nat @ SV455 @ SV524 )
= SV524 )
= $true )
| ( ( SV524
= ( restrict_b_nat @ SV524 ) )
= $false )
| ( ( SV455
= ( restrict_b_nat @ SV455 ) )
= $false )
| ( ( ( graph_union_b_nat @ SV455 @ SV524 )
= SV524 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3502]) ).
thf(3505,plain,
! [SV524: labeled_graph_b_nat,SV455: labeled_graph_b_nat] :
( ( ( ( SV455
!= ( restrict_b_nat @ SV455 ) )
| ( SV524
!= ( restrict_b_nat @ SV524 ) ) )
= $false )
| ( ( SV524
= ( restrict_b_nat @ SV524 ) )
= $false )
| ( ( SV455
= ( restrict_b_nat @ SV455 ) )
= $false )
| ( ( ( graph_union_b_nat @ SV455 @ SV524 )
= SV524 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3503]) ).
thf(3506,plain,
! [SV524: labeled_graph_b_nat,SV455: labeled_graph_b_nat] :
( ( ( SV455
!= ( restrict_b_nat @ SV455 ) )
= $false )
| ( ( SV524
= ( restrict_b_nat @ SV524 ) )
= $false )
| ( ( SV455
= ( restrict_b_nat @ SV455 ) )
= $false )
| ( ( ( graph_union_b_nat @ SV455 @ SV524 )
= SV524 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3505]) ).
thf(3507,plain,
! [SV455: labeled_graph_b_nat,SV524: labeled_graph_b_nat] :
( ( ( SV524
!= ( restrict_b_nat @ SV524 ) )
= $false )
| ( ( SV524
= ( restrict_b_nat @ SV524 ) )
= $false )
| ( ( SV455
= ( restrict_b_nat @ SV455 ) )
= $false )
| ( ( ( graph_union_b_nat @ SV455 @ SV524 )
= SV524 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3505]) ).
thf(3508,plain,
! [SV524: labeled_graph_b_nat,SV455: labeled_graph_b_nat] :
( ( ( SV455
= ( restrict_b_nat @ SV455 ) )
= $true )
| ( ( SV524
= ( restrict_b_nat @ SV524 ) )
= $false )
| ( ( SV455
= ( restrict_b_nat @ SV455 ) )
= $false )
| ( ( ( graph_union_b_nat @ SV455 @ SV524 )
= SV524 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3506]) ).
thf(3509,plain,
! [SV455: labeled_graph_b_nat,SV524: labeled_graph_b_nat] :
( ( ( SV524
= ( restrict_b_nat @ SV524 ) )
= $true )
| ( ( SV524
= ( restrict_b_nat @ SV524 ) )
= $false )
| ( ( SV455
= ( restrict_b_nat @ SV455 ) )
= $false )
| ( ( ( graph_union_b_nat @ SV455 @ SV524 )
= SV524 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3507]) ).
thf(3510,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[2579,3509,3508,3504,3500,3499,3498,3497,3496,3495,3494,3493,3492,3491,3489,3488,3487,3486,3474,3459,3457,3455,3454,3452,3450,3449,3447,3446,3444,3443,3442,3440,3437,3436,3433,3432,3429,3428,3424,3423,3420,3419,3412,3411,3406,3405,3370,3369,3363,3362,3360,3355,3354,3352,3351,3346,3343,3342,3341,3338,3332,3329,3328,3327,3318,3309,3308,3307,3300,3299,3281,3280,3259,3258,3252,3244,3239,3236,3235,3232,3231,3228,3227,3226,3218,3217,3215,3212,3208,3200,3194,3190,3187,3184,3180,3173,3169,3168,3167,3166,3165,3164,3163,3162,3161,3156,3145,3141,3138,3121,3108,3106,3103,3098,3097,3096,3090,3082,3076,3075,3065,3062,3048,3047,3044,3041,3040,3038,3037,3036,3031,3027,3024,3022,3020,3017,3014,3013,3011,3006,3004,2998,2986,2984,2982,2971,2967,2959,2933,2916,2883,2873,2868,2863,2854,2848,2846,2839,2832,2759,2758,2757,2756,2755,2754,2753,2752,2750,2715,2684,2680,2679,2678,2677,2674,2673,2672,2671,2670,2669,2664,2663,2662,2660,2659,2658,2657,2656,2580]) ).
thf(3511,plain,
( ( ! [X: allegorical_term_b,Y: allegorical_term_b] :
( ( graph_529870330at_nat @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ ( translation_b @ X ) @ ( translation_b @ ( allegorical_A_Int_b @ X @ Y ) ) ) ) @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ X ) @ ( translation_b @ ( allegorical_A_Int_b @ X @ Y ) ) ) ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ ( translation_b @ X ) @ ( translation_b @ ( allegorical_A_Int_b @ X @ Y ) ) ) ) ) ) )
& ( ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ X ) @ ( translation_b @ ( allegorical_A_Int_b @ X @ Y ) ) ) )
= ( restrict_b_nat @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ X ) @ ( translation_b @ ( allegorical_A_Int_b @ X @ Y ) ) ) ) ) )
& ( finite_finite_nat @ ( labele460410879_b_nat @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ X ) @ ( translation_b @ ( allegorical_A_Int_b @ X @ Y ) ) ) ) ) )
& ( finite1987068434at_nat @ ( labeled_edges_b_nat @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ X ) @ ( translation_b @ ( allegorical_A_Int_b @ X @ Y ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[451]) ).
thf(3512,plain,
( ( ! [G: labeled_graph_b_nat] :
( ( graph_529870330at_nat @ G @ G @ ( id_on_nat @ ( labele460410879_b_nat @ G ) ) )
= ( G
= ( restrict_b_nat @ G ) ) ) )
= $true ),
inference(copy,[status(thm)],[450]) ).
thf(3513,plain,
( ( ! [G: labeled_graph_b_nat] :
( ( graph_529870330at_nat @ G @ ( restrict_b_nat @ G ) @ ( id_on_nat @ ( labele460410879_b_nat @ G ) ) )
= ( G
= ( restrict_b_nat @ G ) ) ) )
= $true ),
inference(copy,[status(thm)],[449]) ).
thf(3514,plain,
( ( ! [A: labeled_graph_b_nat] : ( graph_529870330at_nat @ ( restrict_b_nat @ A ) @ ( restrict_b_nat @ A ) @ ( id_on_nat @ ( labele460410879_b_nat @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[448]) ).
thf(3515,plain,
( ( ! [X: allegorical_term_b] : ( finite1987068434at_nat @ ( labeled_edges_b_nat @ ( translation_b @ X ) ) ) )
= $true ),
inference(copy,[status(thm)],[447]) ).
thf(3516,plain,
( ( ( graph_529870330at_nat @ ( produc1542243159_b_nat @ standa879863266rule_b ) @ ( produc194497945_b_nat @ standa879863266rule_b ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ standa879863266rule_b ) ) ) )
& ( ( produc194497945_b_nat @ standa879863266rule_b )
= ( restrict_b_nat @ ( produc194497945_b_nat @ standa879863266rule_b ) ) )
& ( finite_finite_nat @ ( labele460410879_b_nat @ ( produc194497945_b_nat @ standa879863266rule_b ) ) )
& ( finite1987068434at_nat @ ( labeled_edges_b_nat @ ( produc194497945_b_nat @ standa879863266rule_b ) ) ) )
= $true ),
inference(copy,[status(thm)],[446]) ).
thf(3517,plain,
( ( ! [T: b] :
( ( graph_529870330at_nat @ ( produc1542243159_b_nat @ ( standa1360217389rule_b @ T ) ) @ ( produc194497945_b_nat @ ( standa1360217389rule_b @ T ) ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ ( standa1360217389rule_b @ T ) ) ) ) )
& ( ( produc194497945_b_nat @ ( standa1360217389rule_b @ T ) )
= ( restrict_b_nat @ ( produc194497945_b_nat @ ( standa1360217389rule_b @ T ) ) ) )
& ( finite_finite_nat @ ( labele460410879_b_nat @ ( produc194497945_b_nat @ ( standa1360217389rule_b @ T ) ) ) )
& ( finite1987068434at_nat @ ( labeled_edges_b_nat @ ( produc194497945_b_nat @ ( standa1360217389rule_b @ T ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[445]) ).
thf(3518,plain,
( ( ! [X: allegorical_term_b] : ( finite_finite_nat @ ( labele460410879_b_nat @ ( translation_b @ X ) ) ) )
= $true ),
inference(copy,[status(thm)],[444]) ).
thf(3519,plain,
( ( ! [I: b] :
( ( graph_529870330at_nat @ ( produc1542243159_b_nat @ ( standa1329480013rule_b @ I ) ) @ ( produc194497945_b_nat @ ( standa1329480013rule_b @ I ) ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ ( standa1329480013rule_b @ I ) ) ) ) )
& ( ( produc194497945_b_nat @ ( standa1329480013rule_b @ I ) )
= ( restrict_b_nat @ ( produc194497945_b_nat @ ( standa1329480013rule_b @ I ) ) ) )
& ( finite_finite_nat @ ( labele460410879_b_nat @ ( produc194497945_b_nat @ ( standa1329480013rule_b @ I ) ) ) )
& ( finite1987068434at_nat @ ( labeled_edges_b_nat @ ( produc194497945_b_nat @ ( standa1329480013rule_b @ I ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[443]) ).
thf(3520,plain,
( ( ! [Prod: produc1478835367term_b] :
( ( produc1990145943term_b @ ( produc854192515term_b @ Prod ) @ ( produc1223098053term_b @ Prod ) )
= Prod ) )
= $true ),
inference(copy,[status(thm)],[442]) ).
thf(3521,plain,
( ( ! [Prod: produc1235635379_b_nat] :
( ( produc951298923_b_nat @ ( produc1542243159_b_nat @ Prod ) @ ( produc194497945_b_nat @ Prod ) )
= Prod ) )
= $true ),
inference(copy,[status(thm)],[441]) ).
thf(3522,plain,
( ( translation_b
= ( ^ [X2: allegorical_term_b] : ( restrict_b_nat @ ( translation_b @ X2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[440]) ).
thf(3523,plain,
( ( ! [G: labeled_graph_b_nat] :
( ( labele460410879_b_nat @ ( restrict_b_nat @ G ) )
= ( labele460410879_b_nat @ G ) ) )
= $true ),
inference(copy,[status(thm)],[439]) ).
thf(3524,plain,
( ( ! [A: labeled_graph_b_nat,B: labeled_graph_b_nat,A2: labeled_graph_b_nat,B2: labeled_graph_b_nat] :
( ( ( produc951298923_b_nat @ A @ B )
= ( produc951298923_b_nat @ A2 @ B2 ) )
= ( ( A = A2 )
& ( B = B2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[438]) ).
thf(3525,plain,
( ( ! [A: allegorical_term_b,B: allegorical_term_b,A2: allegorical_term_b,B2: allegorical_term_b] :
( ( ( produc1990145943term_b @ A @ B )
= ( produc1990145943term_b @ A2 @ B2 ) )
= ( ( A = A2 )
& ( B = B2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[437]) ).
thf(3526,plain,
( ( ! [X1: labeled_graph_b_nat,X22: labeled_graph_b_nat,Y1: labeled_graph_b_nat,Y2: labeled_graph_b_nat] :
( ( ( produc951298923_b_nat @ X1 @ X22 )
= ( produc951298923_b_nat @ Y1 @ Y2 ) )
= ( ( X1 = Y1 )
& ( X22 = Y2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[436]) ).
thf(3527,plain,
( ( ! [X1: allegorical_term_b,X22: allegorical_term_b,Y1: allegorical_term_b,Y2: allegorical_term_b] :
( ( ( produc1990145943term_b @ X1 @ X22 )
= ( produc1990145943term_b @ Y1 @ Y2 ) )
= ( ( X1 = Y1 )
& ( X22 = Y2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[435]) ).
thf(3528,plain,
( ( ! [X3: labeled_graph_b_nat] :
( ( restrict_b_nat @ ( restrict_b_nat @ X3 ) )
= ( restrict_b_nat @ X3 ) ) )
= $true ),
inference(copy,[status(thm)],[434]) ).
thf(3529,plain,
( ( ! [P: produc1235635379_b_nat > $o,Prod: produc1235635379_b_nat] :
( ! [A3: labeled_graph_b_nat,B3: labeled_graph_b_nat] : ( P @ ( produc951298923_b_nat @ A3 @ B3 ) )
=> ( P @ Prod ) ) )
= $true ),
inference(copy,[status(thm)],[433]) ).
thf(3530,plain,
( ( ! [P: produc1478835367term_b > $o,Prod: produc1478835367term_b] :
( ! [A3: allegorical_term_b,B3: allegorical_term_b] : ( P @ ( produc1990145943term_b @ A3 @ B3 ) )
=> ( P @ Prod ) ) )
= $true ),
inference(copy,[status(thm)],[432]) ).
thf(3531,plain,
( ( ! [Y3: produc1235635379_b_nat] :
~ ! [A3: labeled_graph_b_nat,B3: labeled_graph_b_nat] :
( Y3
!= ( produc951298923_b_nat @ A3 @ B3 ) ) )
= $true ),
inference(copy,[status(thm)],[431]) ).
thf(3532,plain,
( ( ! [Y3: produc1478835367term_b] :
~ ! [A3: allegorical_term_b,B3: allegorical_term_b] :
( Y3
!= ( produc1990145943term_b @ A3 @ B3 ) ) )
= $true ),
inference(copy,[status(thm)],[430]) ).
thf(3533,plain,
( ( ! [A: labeled_graph_b_nat,B: labeled_graph_b_nat,A2: labeled_graph_b_nat,B2: labeled_graph_b_nat] :
( ( ( produc951298923_b_nat @ A @ B )
= ( produc951298923_b_nat @ A2 @ B2 ) )
=> ~ ( ( A = A2 )
=> ( B != B2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[429]) ).
thf(3534,plain,
( ( ! [A: allegorical_term_b,B: allegorical_term_b,A2: allegorical_term_b,B2: allegorical_term_b] :
( ( ( produc1990145943term_b @ A @ B )
= ( produc1990145943term_b @ A2 @ B2 ) )
=> ~ ( ( A = A2 )
=> ( B != B2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[428]) ).
thf(3535,plain,
( ( ! [P: produc1235635379_b_nat > $o,P2: produc1235635379_b_nat] :
( ! [A3: labeled_graph_b_nat,B3: labeled_graph_b_nat] : ( P @ ( produc951298923_b_nat @ A3 @ B3 ) )
=> ( P @ P2 ) ) )
= $true ),
inference(copy,[status(thm)],[427]) ).
thf(3536,plain,
( ( ! [P: produc1478835367term_b > $o,P2: produc1478835367term_b] :
( ! [A3: allegorical_term_b,B3: allegorical_term_b] : ( P @ ( produc1990145943term_b @ A3 @ B3 ) )
=> ( P @ P2 ) ) )
= $true ),
inference(copy,[status(thm)],[426]) ).
thf(3537,plain,
( ( ! [P2: produc1235635379_b_nat] :
? [X4: labeled_graph_b_nat,Y4: labeled_graph_b_nat] :
( P2
= ( produc951298923_b_nat @ X4 @ Y4 ) ) )
= $true ),
inference(copy,[status(thm)],[425]) ).
thf(3538,plain,
( ( ! [P2: produc1478835367term_b] :
? [X4: allegorical_term_b,Y4: allegorical_term_b] :
( P2
= ( produc1990145943term_b @ X4 @ Y4 ) ) )
= $true ),
inference(copy,[status(thm)],[424]) ).
thf(3539,plain,
( ( ! [X1: labeled_graph_b_nat,X22: labeled_graph_b_nat] :
( ( produc1542243159_b_nat @ ( produc951298923_b_nat @ X1 @ X22 ) )
= X1 ) )
= $true ),
inference(copy,[status(thm)],[423]) ).
thf(3540,plain,
( ( ! [X1: allegorical_term_b,X22: allegorical_term_b] :
( ( produc854192515term_b @ ( produc1990145943term_b @ X1 @ X22 ) )
= X1 ) )
= $true ),
inference(copy,[status(thm)],[422]) ).
thf(3541,plain,
( ( ! [X3: labeled_graph_b_nat,Y3: labeled_graph_b_nat,A: labeled_graph_b_nat] :
( ( ( produc1542243159_b_nat @ ( produc951298923_b_nat @ X3 @ Y3 ) )
= A )
=> ( X3 = A ) ) )
= $true ),
inference(copy,[status(thm)],[421]) ).
thf(3542,plain,
( ( ! [X3: allegorical_term_b,Y3: allegorical_term_b,A: allegorical_term_b] :
( ( ( produc854192515term_b @ ( produc1990145943term_b @ X3 @ Y3 ) )
= A )
=> ( X3 = A ) ) )
= $true ),
inference(copy,[status(thm)],[420]) ).
thf(3543,plain,
( ( ! [X1: allegorical_term_b,X22: allegorical_term_b] :
( ( produc1223098053term_b @ ( produc1990145943term_b @ X1 @ X22 ) )
= X22 ) )
= $true ),
inference(copy,[status(thm)],[419]) ).
thf(3544,plain,
( ( ! [X1: labeled_graph_b_nat,X22: labeled_graph_b_nat] :
( ( produc194497945_b_nat @ ( produc951298923_b_nat @ X1 @ X22 ) )
= X22 ) )
= $true ),
inference(copy,[status(thm)],[418]) ).
thf(3545,plain,
( ( ! [X3: allegorical_term_b,Y3: allegorical_term_b,A: allegorical_term_b] :
( ( ( produc1223098053term_b @ ( produc1990145943term_b @ X3 @ Y3 ) )
= A )
=> ( Y3 = A ) ) )
= $true ),
inference(copy,[status(thm)],[417]) ).
thf(3546,plain,
( ( ! [X3: labeled_graph_b_nat,Y3: labeled_graph_b_nat,A: labeled_graph_b_nat] :
( ( ( produc194497945_b_nat @ ( produc951298923_b_nat @ X3 @ Y3 ) )
= A )
=> ( Y3 = A ) ) )
= $true ),
inference(copy,[status(thm)],[416]) ).
thf(3547,plain,
( ( ( ^ [Y5: produc1478835367term_b,Z: produc1478835367term_b] : ( Y5 = Z ) )
= ( ^ [S: produc1478835367term_b,T2: produc1478835367term_b] :
( ( ( produc854192515term_b @ S )
= ( produc854192515term_b @ T2 ) )
& ( ( produc1223098053term_b @ S )
= ( produc1223098053term_b @ T2 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[415]) ).
thf(3548,plain,
( ( ( ^ [Y5: produc1235635379_b_nat,Z: produc1235635379_b_nat] : ( Y5 = Z ) )
= ( ^ [S: produc1235635379_b_nat,T2: produc1235635379_b_nat] :
( ( ( produc1542243159_b_nat @ S )
= ( produc1542243159_b_nat @ T2 ) )
& ( ( produc194497945_b_nat @ S )
= ( produc194497945_b_nat @ T2 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[414]) ).
thf(3549,plain,
( ( ! [Prod: produc1478835367term_b,Prod2: produc1478835367term_b] :
( ( ( ( produc854192515term_b @ Prod )
= ( produc854192515term_b @ Prod2 ) )
& ( ( produc1223098053term_b @ Prod )
= ( produc1223098053term_b @ Prod2 ) ) )
=> ( Prod = Prod2 ) ) )
= $true ),
inference(copy,[status(thm)],[413]) ).
thf(3550,plain,
( ( ! [Prod: produc1235635379_b_nat,Prod2: produc1235635379_b_nat] :
( ( ( ( produc1542243159_b_nat @ Prod )
= ( produc1542243159_b_nat @ Prod2 ) )
& ( ( produc194497945_b_nat @ Prod )
= ( produc194497945_b_nat @ Prod2 ) ) )
=> ( Prod = Prod2 ) ) )
= $true ),
inference(copy,[status(thm)],[412]) ).
thf(3551,plain,
( ( ! [P2: produc1478835367term_b,Q: produc1478835367term_b] :
( ( ( produc854192515term_b @ P2 )
= ( produc854192515term_b @ Q ) )
=> ( ( ( produc1223098053term_b @ P2 )
= ( produc1223098053term_b @ Q ) )
=> ( P2 = Q ) ) ) )
= $true ),
inference(copy,[status(thm)],[411]) ).
thf(3552,plain,
( ( ! [P2: produc1235635379_b_nat,Q: produc1235635379_b_nat] :
( ( ( produc1542243159_b_nat @ P2 )
= ( produc1542243159_b_nat @ Q ) )
=> ( ( ( produc194497945_b_nat @ P2 )
= ( produc194497945_b_nat @ Q ) )
=> ( P2 = Q ) ) ) )
= $true ),
inference(copy,[status(thm)],[410]) ).
thf(3553,plain,
( ( ! [Labeled_graph: labeled_graph_b_nat,Labeled_graph2: labeled_graph_b_nat] :
( ( ( ( labeled_edges_b_nat @ Labeled_graph )
= ( labeled_edges_b_nat @ Labeled_graph2 ) )
& ( ( labele460410879_b_nat @ Labeled_graph )
= ( labele460410879_b_nat @ Labeled_graph2 ) ) )
=> ( Labeled_graph = Labeled_graph2 ) ) )
= $true ),
inference(copy,[status(thm)],[409]) ).
thf(3554,plain,
( ( ! [T: produc1478835367term_b] :
( T
= ( produc1990145943term_b @ ( produc854192515term_b @ T ) @ ( produc1223098053term_b @ T ) ) ) )
= $true ),
inference(copy,[status(thm)],[408]) ).
thf(3555,plain,
( ( ! [T: produc1235635379_b_nat] :
( T
= ( produc951298923_b_nat @ ( produc1542243159_b_nat @ T ) @ ( produc194497945_b_nat @ T ) ) ) )
= $true ),
inference(copy,[status(thm)],[407]) ).
thf(3556,plain,
( ( ! [Prod: produc1478835367term_b] :
( Prod
= ( produc1990145943term_b @ ( produc854192515term_b @ Prod ) @ ( produc1223098053term_b @ Prod ) ) ) )
= $true ),
inference(copy,[status(thm)],[406]) ).
thf(3557,plain,
( ( ! [Prod: produc1235635379_b_nat] :
( Prod
= ( produc951298923_b_nat @ ( produc1542243159_b_nat @ Prod ) @ ( produc194497945_b_nat @ Prod ) ) ) )
= $true ),
inference(copy,[status(thm)],[405]) ).
thf(3558,plain,
( ( ! [A4: labeled_graph_b_nat,B4: labeled_graph_b_nat,X: labeled_graph_b_nat,H: set_Pr1986765409at_nat] :
( ( graph_529870330at_nat @ A4 @ B4 @ ( id_on_nat @ ( labele460410879_b_nat @ A4 ) ) )
=> ( ( graph_529870330at_nat @ X @ A4 @ H )
=> ( graph_529870330at_nat @ X @ B4 @ H ) ) ) )
= $true ),
inference(copy,[status(thm)],[404]) ).
thf(3559,plain,
( ( ! [G_1: labeled_graph_b_nat,G_2: labeled_graph_b_nat,G_3: labeled_graph_b_nat] :
( ( graph_529870330at_nat @ G_1 @ G_2 @ ( id_on_nat @ ( labele460410879_b_nat @ G_1 ) ) )
=> ( ( graph_529870330at_nat @ G_2 @ G_3 @ ( id_on_nat @ ( labele460410879_b_nat @ G_2 ) ) )
=> ( graph_529870330at_nat @ G_1 @ G_3 @ ( id_on_nat @ ( labele460410879_b_nat @ G_1 ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[403]) ).
thf(3560,plain,
( ( ! [X: allegorical_term_b] : ( inv_translation @ ( labele460410879_b_nat @ ( translation_b @ X ) ) ) )
= $true ),
inference(copy,[status(thm)],[402]) ).
thf(3561,plain,
( ( ! [P: allegorical_term_b > allegorical_term_b > $o,X3: allegorical_term_b,Y3: allegorical_term_b,A: produc1478835367term_b] :
( ( P @ X3 @ Y3 )
=> ( ( A
= ( produc1990145943term_b @ X3 @ Y3 ) )
=> ( P @ ( produc854192515term_b @ A ) @ ( produc1223098053term_b @ A ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[401]) ).
thf(3562,plain,
( ( ! [P: labeled_graph_b_nat > labeled_graph_b_nat > $o,X3: labeled_graph_b_nat,Y3: labeled_graph_b_nat,A: produc1235635379_b_nat] :
( ( P @ X3 @ Y3 )
=> ( ( A
= ( produc951298923_b_nat @ X3 @ Y3 ) )
=> ( P @ ( produc1542243159_b_nat @ A ) @ ( produc194497945_b_nat @ A ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[400]) ).
thf(3563,plain,
( ( ! [P: allegorical_term_b > $o,P2: allegorical_term_b,Q2: allegorical_term_b > $o,Q: allegorical_term_b] :
( ( P @ P2 )
=> ( ( Q2 @ Q )
=> ( ( P @ ( produc854192515term_b @ ( produc1990145943term_b @ P2 @ Q ) ) )
& ( Q2 @ ( produc1223098053term_b @ ( produc1990145943term_b @ P2 @ Q ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[399]) ).
thf(3564,plain,
( ( ! [P: labeled_graph_b_nat > $o,P2: labeled_graph_b_nat,Q2: labeled_graph_b_nat > $o,Q: labeled_graph_b_nat] :
( ( P @ P2 )
=> ( ( Q2 @ Q )
=> ( ( P @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ P2 @ Q ) ) )
& ( Q2 @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ P2 @ Q ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[398]) ).
thf(3565,plain,
( ( ! [P: allegorical_term_b > allegorical_term_b > $o,Y3: allegorical_term_b,X3: allegorical_term_b] :
( ( P @ Y3 @ X3 )
=> ( P @ ( produc1223098053term_b @ ( produc1990145943term_b @ X3 @ Y3 ) ) @ ( produc854192515term_b @ ( produc1990145943term_b @ X3 @ Y3 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[397]) ).
thf(3566,plain,
( ( ! [P: labeled_graph_b_nat > labeled_graph_b_nat > $o,Y3: labeled_graph_b_nat,X3: labeled_graph_b_nat] :
( ( P @ Y3 @ X3 )
=> ( P @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ X3 @ Y3 ) ) @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ X3 @ Y3 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[396]) ).
thf(3567,plain,
( ( ! [X11: allegorical_term_b,X12: allegorical_term_b,Y11: allegorical_term_b,Y12: allegorical_term_b] :
( ( ( allegorical_A_Int_b @ X11 @ X12 )
= ( allegorical_A_Int_b @ Y11 @ Y12 ) )
= ( ( X11 = Y11 )
& ( X12 = Y12 ) ) ) )
= $true ),
inference(copy,[status(thm)],[395]) ).
thf(3568,plain,
( ( ! [R: labeled_graph_b_nat,G: labeled_graph_b_nat,F3: set_Pr1986765409at_nat] :
( ( graph_529870330at_nat @ R @ G @ F3 )
=> ( extensible_b_nat_nat @ ( produc951298923_b_nat @ R @ R ) @ G @ F3 ) ) )
= $true ),
inference(copy,[status(thm)],[394]) ).
thf(3569,plain,
( ( ! [P: allegorical_term_b > allegorical_term_b > $o,P2: produc1478835367term_b] :
( ( P @ ( produc1223098053term_b @ P2 ) @ ( produc854192515term_b @ P2 ) )
=> ~ ! [X4: allegorical_term_b,Y4: allegorical_term_b] :
~ ( P @ Y4 @ X4 ) ) )
= $true ),
inference(copy,[status(thm)],[393]) ).
thf(3570,plain,
( ( ! [P: labeled_graph_b_nat > labeled_graph_b_nat > $o,P2: produc1235635379_b_nat] :
( ( P @ ( produc194497945_b_nat @ P2 ) @ ( produc1542243159_b_nat @ P2 ) )
=> ~ ! [X4: labeled_graph_b_nat,Y4: labeled_graph_b_nat] :
~ ( P @ Y4 @ X4 ) ) )
= $true ),
inference(copy,[status(thm)],[392]) ).
thf(3571,plain,
( ( ! [X3: produc1478835367term_b,Y3: allegorical_term_b,Z2: allegorical_term_b] :
( ( X3
= ( produc1990145943term_b @ Y3 @ Z2 ) )
=> ( ( produc1223098053term_b @ X3 )
= Z2 ) ) )
= $true ),
inference(copy,[status(thm)],[391]) ).
thf(3572,plain,
( ( ! [X3: produc1235635379_b_nat,Y3: labeled_graph_b_nat,Z2: labeled_graph_b_nat] :
( ( X3
= ( produc951298923_b_nat @ Y3 @ Z2 ) )
=> ( ( produc194497945_b_nat @ X3 )
= Z2 ) ) )
= $true ),
inference(copy,[status(thm)],[390]) ).
thf(3573,plain,
( ( ! [X3: produc1235635379_b_nat,Y3: labeled_graph_b_nat,Z2: labeled_graph_b_nat] :
( ( X3
= ( produc951298923_b_nat @ Y3 @ Z2 ) )
=> ( ( produc1542243159_b_nat @ X3 )
= Y3 ) ) )
= $true ),
inference(copy,[status(thm)],[389]) ).
thf(3574,plain,
( ( ! [X3: produc1478835367term_b,Y3: allegorical_term_b,Z2: allegorical_term_b] :
( ( X3
= ( produc1990145943term_b @ Y3 @ Z2 ) )
=> ( ( produc854192515term_b @ X3 )
= Y3 ) ) )
= $true ),
inference(copy,[status(thm)],[388]) ).
thf(3575,plain,
( ( ! [S2: nat > labeled_graph_b_nat,I: nat] :
( ( chain_b_nat @ S2 )
=> ( ( S2 @ I )
= ( restrict_b_nat @ ( S2 @ I ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[387]) ).
thf(3576,plain,
( ( ! [B: allegorical_term_b,P2: produc1478835367term_b] :
( ( B
= ( produc1223098053term_b @ P2 ) )
= ( ? [A5: allegorical_term_b] :
( P2
= ( produc1990145943term_b @ A5 @ B ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[386]) ).
thf(3577,plain,
( ( ! [B: labeled_graph_b_nat,P2: produc1235635379_b_nat] :
( ( B
= ( produc194497945_b_nat @ P2 ) )
= ( ? [A5: labeled_graph_b_nat] :
( P2
= ( produc951298923_b_nat @ A5 @ B ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[385]) ).
thf(3578,plain,
( ( ! [A: labeled_graph_b_nat,P2: produc1235635379_b_nat] :
( ( A
= ( produc1542243159_b_nat @ P2 ) )
= ( ? [B5: labeled_graph_b_nat] :
( P2
= ( produc951298923_b_nat @ A @ B5 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[384]) ).
thf(3579,plain,
( ( ! [A: allegorical_term_b,P2: produc1478835367term_b] :
( ( A
= ( produc854192515term_b @ P2 ) )
= ( ? [B5: allegorical_term_b] :
( P2
= ( produc1990145943term_b @ A @ B5 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[383]) ).
thf(3580,plain,
( ( ! [Labeled_graph: labeled_graph_b_nat] :
( ( labeled_LG_b_nat @ ( labeled_edges_b_nat @ Labeled_graph ) @ ( labele460410879_b_nat @ Labeled_graph ) )
= Labeled_graph ) )
= $true ),
inference(copy,[status(thm)],[382]) ).
thf(3581,plain,
( ( ! [A4: set_nat,B4: set_nat] :
( ( ord_less_eq_set_nat @ A4 @ B4 )
=> ( ( finite_finite_nat @ B4 )
=> ( finite_finite_nat @ A4 ) ) ) )
= $true ),
inference(copy,[status(thm)],[381]) ).
thf(3582,plain,
( ( ! [A4: set_Pr9961929at_nat,B4: set_Pr9961929at_nat] :
( ( ord_le910748009at_nat @ A4 @ B4 )
=> ( ( finite1987068434at_nat @ B4 )
=> ( finite1987068434at_nat @ A4 ) ) ) )
= $true ),
inference(copy,[status(thm)],[380]) ).
thf(3583,plain,
( ( ! [S2: set_nat,T3: set_nat] :
( ( ord_less_eq_set_nat @ S2 @ T3 )
=> ( ~ ( finite_finite_nat @ S2 )
=> ~ ( finite_finite_nat @ T3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[379]) ).
thf(3584,plain,
( ( ! [S2: set_Pr9961929at_nat,T3: set_Pr9961929at_nat] :
( ( ord_le910748009at_nat @ S2 @ T3 )
=> ( ~ ( finite1987068434at_nat @ S2 )
=> ~ ( finite1987068434at_nat @ T3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[378]) ).
thf(3585,plain,
( ( ! [B4: set_nat,A4: set_nat] :
( ( finite_finite_nat @ B4 )
=> ( ( ord_less_eq_set_nat @ A4 @ B4 )
=> ( finite_finite_nat @ A4 ) ) ) )
= $true ),
inference(copy,[status(thm)],[377]) ).
thf(3586,plain,
( ( ! [B4: set_Pr9961929at_nat,A4: set_Pr9961929at_nat] :
( ( finite1987068434at_nat @ B4 )
=> ( ( ord_le910748009at_nat @ A4 @ B4 )
=> ( finite1987068434at_nat @ A4 ) ) ) )
= $true ),
inference(copy,[status(thm)],[376]) ).
thf(3587,plain,
( ( ! [X1: set_Pr9961929at_nat,X22: set_nat] :
( ( labele460410879_b_nat @ ( labeled_LG_b_nat @ X1 @ X22 ) )
= X22 ) )
= $true ),
inference(copy,[status(thm)],[375]) ).
thf(3588,plain,
( ( ! [X1: set_Pr9961929at_nat,X22: set_nat] :
( ( labeled_edges_b_nat @ ( labeled_LG_b_nat @ X1 @ X22 ) )
= X1 ) )
= $true ),
inference(copy,[status(thm)],[374]) ).
thf(3589,plain,
( ( ! [G: labeled_graph_b_nat] :
( ( ord_le910748009at_nat @ ( labeled_edges_b_nat @ G ) @ ( labeled_edges_b_nat @ ( restrict_b_nat @ G ) ) )
=> ( G
= ( restrict_b_nat @ G ) ) ) )
= $true ),
inference(copy,[status(thm)],[373]) ).
thf(3590,plain,
( ( ! [Labeled_graph: labeled_graph_b_nat] :
( Labeled_graph
= ( labeled_LG_b_nat @ ( labeled_edges_b_nat @ Labeled_graph ) @ ( labele460410879_b_nat @ Labeled_graph ) ) ) )
= $true ),
inference(copy,[status(thm)],[372]) ).
thf(3591,plain,
( ( ! [G_1: labeled_graph_b_nat,G_2: labeled_graph_b_nat] :
( ( graph_529870330at_nat @ G_1 @ G_2 @ ( id_on_nat @ ( labele460410879_b_nat @ G_1 ) ) )
=> ( ord_less_eq_set_nat @ ( labele460410879_b_nat @ G_1 ) @ ( labele460410879_b_nat @ G_2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[371]) ).
thf(3592,plain,
( ( ! [G_1: labeled_graph_b_nat,G_2: labeled_graph_b_nat] :
( ( graph_529870330at_nat @ G_1 @ G_2 @ ( id_on_nat @ ( labele460410879_b_nat @ G_1 ) ) )
=> ( ord_le910748009at_nat @ ( labeled_edges_b_nat @ ( restrict_b_nat @ G_1 ) ) @ ( labeled_edges_b_nat @ G_2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[370]) ).
thf(3593,plain,
( ( ! [G_1: labeled_graph_b_nat,G_2: labeled_graph_b_nat] :
( ( G_1
= ( restrict_b_nat @ G_1 ) )
=> ( ( G_2
= ( restrict_b_nat @ G_2 ) )
=> ( ( graph_union_b_nat @ G_1 @ G_2 )
= ( restrict_b_nat @ ( graph_union_b_nat @ G_1 @ G_2 ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[369]) ).
thf(3594,plain,
( ( ! [G_1: labeled_graph_b_nat,G_2: labeled_graph_b_nat] :
( ( graph_529870330at_nat @ G_1 @ G_2 @ ( id_on_nat @ ( labele460410879_b_nat @ G_1 ) ) )
= ( ( G_1
= ( restrict_b_nat @ G_1 ) )
& ( G_2
= ( restrict_b_nat @ G_2 ) )
& ( ( graph_union_b_nat @ G_1 @ G_2 )
= G_2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[368]) ).
thf(3595,plain,
( ( ! [A: labeled_graph_b_nat,B: labeled_graph_b_nat,X3: set_Pr1986765409at_nat,C2: labeled_graph_b_nat,Y3: set_Pr1986765409at_nat] :
( ( graph_529870330at_nat @ A @ B @ X3 )
=> ( ( graph_529870330at_nat @ B @ C2 @ Y3 )
=> ( graph_529870330at_nat @ A @ C2 @ ( relcomp_nat_nat_nat @ X3 @ Y3 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[367]) ).
thf(3596,plain,
( ( finite_finite_nat @ bot_bot_set_nat )
= $true ),
inference(copy,[status(thm)],[366]) ).
thf(3597,plain,
( ( finite1987068434at_nat @ bot_bo1626616373at_nat )
= $true ),
inference(copy,[status(thm)],[365]) ).
thf(3598,plain,
( ( ! [S2: set_nat] :
( ~ ( finite_finite_nat @ S2 )
=> ( S2 != bot_bot_set_nat ) ) )
= $true ),
inference(copy,[status(thm)],[364]) ).
thf(3599,plain,
( ( ! [S2: set_Pr9961929at_nat] :
( ~ ( finite1987068434at_nat @ S2 )
=> ( S2 != bot_bo1626616373at_nat ) ) )
= $true ),
inference(copy,[status(thm)],[363]) ).
thf(3600,plain,
( ( ! [R4: labeled_graph_b_nat,S4: labeled_graph_b_nat,R: set_Pr551076371_b_nat,S5: labeled_graph_b_nat] :
( ( member963855452_b_nat @ ( produc951298923_b_nat @ R4 @ S4 ) @ R )
=> ( ( S5 = S4 )
=> ( member963855452_b_nat @ ( produc951298923_b_nat @ R4 @ S5 ) @ R ) ) ) )
= $true ),
inference(copy,[status(thm)],[362]) ).
thf(3601,plain,
( ( ! [R4: allegorical_term_b,S4: allegorical_term_b,R: set_Pr1163220871term_b,S5: allegorical_term_b] :
( ( member516522448term_b @ ( produc1990145943term_b @ R4 @ S4 ) @ R )
=> ( ( S5 = S4 )
=> ( member516522448term_b @ ( produc1990145943term_b @ R4 @ S5 ) @ R ) ) ) )
= $true ),
inference(copy,[status(thm)],[361]) ).
thf(3602,plain,
( ( ! [X3: set_nat] : ( univalent_nat_nat @ ( id_on_nat @ X3 ) ) )
= $true ),
inference(copy,[status(thm)],[360]) ).
thf(3603,plain,
( ( ! [A4: set_nat] :
( ( domain_nat_nat @ ( id_on_nat @ A4 ) )
= A4 ) )
= $true ),
inference(copy,[status(thm)],[359]) ).
thf(3604,plain,
( ( ~ ( finite1987068434at_nat @ ( labeled_edges_b_nat @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ ( produc854192515term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) @ ( translation_b @ ( produc1223098053term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[459]) ).
thf(3605,plain,
( ( ! [SX0: allegorical_term_b,SX1: produc1478835367term_b] :
( ( SX0
= ( produc1223098053term_b @ SX1 ) )
= ( ~ ! [SX2: allegorical_term_b] :
( SX1
!= ( produc1990145943term_b @ SX2 @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3576]) ).
thf(3606,plain,
( ( ! [SX0: produc1235635379_b_nat,SX1: produc1235635379_b_nat] :
( ( ( produc1542243159_b_nat @ SX0 )
!= ( produc1542243159_b_nat @ SX1 ) )
| ( ( produc194497945_b_nat @ SX0 )
!= ( produc194497945_b_nat @ SX1 ) )
| ( SX0 = SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3552]) ).
thf(3607,plain,
( ( ! [SX0: allegorical_term_b,SX1: allegorical_term_b,SX2: set_Pr1163220871term_b,SX3: allegorical_term_b] :
( ~ ( member516522448term_b @ ( produc1990145943term_b @ SX0 @ SX1 ) @ SX2 )
| ( SX3 != SX1 )
| ( member516522448term_b @ ( produc1990145943term_b @ SX0 @ SX3 ) @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3601]) ).
thf(3608,plain,
( ( ! [SX0: produc1478835367term_b > $o,SX1: produc1478835367term_b] :
( ~ ! [SX2: allegorical_term_b,SX3: allegorical_term_b] : ( SX0 @ ( produc1990145943term_b @ SX2 @ SX3 ) )
| ( SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3530]) ).
thf(3609,plain,
( ( ! [SX0: labeled_graph_b_nat,SX1: labeled_graph_b_nat,SX2: labeled_graph_b_nat,SX3: labeled_graph_b_nat] :
( ( ( produc951298923_b_nat @ SX0 @ SX1 )
!= ( produc951298923_b_nat @ SX2 @ SX3 ) )
| ~ ( ( SX0 != SX2 )
| ( SX1 != SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3533]) ).
thf(3610,plain,
( ( ! [SX0: allegorical_term_b,SX1: allegorical_term_b,SX2: allegorical_term_b,SX3: allegorical_term_b] :
( ( ( produc1990145943term_b @ SX0 @ SX1 )
!= ( produc1990145943term_b @ SX2 @ SX3 ) )
| ~ ( ( SX0 != SX2 )
| ( SX1 != SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3534]) ).
thf(3611,plain,
( ( ( ^ [SX0: produc1235635379_b_nat,SX1: produc1235635379_b_nat] : ( SX0 = SX1 ) )
= ( ^ [SX0: produc1235635379_b_nat,SX1: produc1235635379_b_nat] :
~ ( ( ( produc1542243159_b_nat @ SX0 )
!= ( produc1542243159_b_nat @ SX1 ) )
| ( ( produc194497945_b_nat @ SX0 )
!= ( produc194497945_b_nat @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3548]) ).
thf(3612,plain,
( ( ! [SX0: labeled_graph_b_nat,SX1: labeled_graph_b_nat,SX2: set_Pr1986765409at_nat,SX3: labeled_graph_b_nat,SX4: set_Pr1986765409at_nat] :
( ~ ( graph_529870330at_nat @ SX0 @ SX1 @ SX2 )
| ~ ( graph_529870330at_nat @ SX1 @ SX3 @ SX4 )
| ( graph_529870330at_nat @ SX0 @ SX3 @ ( relcomp_nat_nat_nat @ SX2 @ SX4 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3595]) ).
thf(3613,plain,
( ( ! [SX0: labeled_graph_b_nat,SX1: labeled_graph_b_nat,SX2: labeled_graph_b_nat,SX3: set_Pr1986765409at_nat] :
( ~ ( graph_529870330at_nat @ SX0 @ SX1 @ ( id_on_nat @ ( labele460410879_b_nat @ SX0 ) ) )
| ~ ( graph_529870330at_nat @ SX2 @ SX0 @ SX3 )
| ( graph_529870330at_nat @ SX2 @ SX1 @ SX3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3558]) ).
thf(3614,plain,
( ( ! [SX0: b] :
~ ( ~ ~ ( ~ ~ ( ~ ( graph_529870330at_nat @ ( produc1542243159_b_nat @ ( standa1360217389rule_b @ SX0 ) ) @ ( produc194497945_b_nat @ ( standa1360217389rule_b @ SX0 ) ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ ( standa1360217389rule_b @ SX0 ) ) ) ) )
| ( ( produc194497945_b_nat @ ( standa1360217389rule_b @ SX0 ) )
!= ( restrict_b_nat @ ( produc194497945_b_nat @ ( standa1360217389rule_b @ SX0 ) ) ) ) )
| ~ ( finite_finite_nat @ ( labele460410879_b_nat @ ( produc194497945_b_nat @ ( standa1360217389rule_b @ SX0 ) ) ) ) )
| ~ ( finite1987068434at_nat @ ( labeled_edges_b_nat @ ( produc194497945_b_nat @ ( standa1360217389rule_b @ SX0 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3517]) ).
thf(3615,plain,
( ( ! [SX0: allegorical_term_b,SX1: allegorical_term_b,SX2: allegorical_term_b,SX3: allegorical_term_b] :
( ( ( allegorical_A_Int_b @ SX0 @ SX1 )
= ( allegorical_A_Int_b @ SX2 @ SX3 ) )
= ( ~ ( ( SX0 != SX2 )
| ( SX1 != SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3567]) ).
thf(3616,plain,
( ( ! [SX0: allegorical_term_b,SX1: allegorical_term_b,SX2: allegorical_term_b,SX3: allegorical_term_b] :
( ( ( produc1990145943term_b @ SX0 @ SX1 )
= ( produc1990145943term_b @ SX2 @ SX3 ) )
= ( ~ ( ( SX0 != SX2 )
| ( SX1 != SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3527]) ).
thf(3617,plain,
( ( ! [SX0: allegorical_term_b > $o,SX1: allegorical_term_b,SX2: allegorical_term_b > $o,SX3: allegorical_term_b] :
( ~ ( SX0 @ SX1 )
| ~ ( SX2 @ SX3 )
| ~ ( ~ ( SX0 @ ( produc854192515term_b @ ( produc1990145943term_b @ SX1 @ SX3 ) ) )
| ~ ( SX2 @ ( produc1223098053term_b @ ( produc1990145943term_b @ SX1 @ SX3 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3563]) ).
thf(3618,plain,
( ( ! [SX0: b] :
~ ( ~ ~ ( ~ ~ ( ~ ( graph_529870330at_nat @ ( produc1542243159_b_nat @ ( standa1329480013rule_b @ SX0 ) ) @ ( produc194497945_b_nat @ ( standa1329480013rule_b @ SX0 ) ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ ( standa1329480013rule_b @ SX0 ) ) ) ) )
| ( ( produc194497945_b_nat @ ( standa1329480013rule_b @ SX0 ) )
!= ( restrict_b_nat @ ( produc194497945_b_nat @ ( standa1329480013rule_b @ SX0 ) ) ) ) )
| ~ ( finite_finite_nat @ ( labele460410879_b_nat @ ( produc194497945_b_nat @ ( standa1329480013rule_b @ SX0 ) ) ) ) )
| ~ ( finite1987068434at_nat @ ( labeled_edges_b_nat @ ( produc194497945_b_nat @ ( standa1329480013rule_b @ SX0 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3519]) ).
thf(3619,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ( graph_529870330at_nat @ ( produc1542243159_b_nat @ standa879863266rule_b ) @ ( produc194497945_b_nat @ standa879863266rule_b ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ standa879863266rule_b ) ) ) )
| ( ( produc194497945_b_nat @ standa879863266rule_b )
!= ( restrict_b_nat @ ( produc194497945_b_nat @ standa879863266rule_b ) ) ) )
| ~ ( finite_finite_nat @ ( labele460410879_b_nat @ ( produc194497945_b_nat @ standa879863266rule_b ) ) ) )
| ~ ( finite1987068434at_nat @ ( labeled_edges_b_nat @ ( produc194497945_b_nat @ standa879863266rule_b ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3516]) ).
thf(3620,plain,
( ( ! [SX0: allegorical_term_b > allegorical_term_b > $o,SX1: allegorical_term_b,SX2: allegorical_term_b] :
( ~ ( SX0 @ SX1 @ SX2 )
| ( SX0 @ ( produc1223098053term_b @ ( produc1990145943term_b @ SX2 @ SX1 ) ) @ ( produc854192515term_b @ ( produc1990145943term_b @ SX2 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3565]) ).
thf(3621,plain,
( ( ! [SX0: produc1478835367term_b] :
~ ! [SX1: allegorical_term_b] :
~ ~ ! [SX2: allegorical_term_b] :
( SX0
!= ( produc1990145943term_b @ SX1 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3538]) ).
thf(3622,plain,
( ( ! [SX0: produc1478835367term_b,SX1: produc1478835367term_b] :
( ~ ~ ( ( ( produc854192515term_b @ SX0 )
!= ( produc854192515term_b @ SX1 ) )
| ( ( produc1223098053term_b @ SX0 )
!= ( produc1223098053term_b @ SX1 ) ) )
| ( SX0 = SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3549]) ).
thf(3623,plain,
( ( ! [SX0: set_Pr9961929at_nat,SX1: set_Pr9961929at_nat] :
( ~ ( ord_le910748009at_nat @ SX0 @ SX1 )
| ~ ( finite1987068434at_nat @ SX1 )
| ( finite1987068434at_nat @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3582]) ).
thf(3624,plain,
( ( ! [SX0: labeled_graph_b_nat,SX1: labeled_graph_b_nat,SX2: labeled_graph_b_nat] :
( ( ( produc194497945_b_nat @ ( produc951298923_b_nat @ SX0 @ SX1 ) )
!= SX2 )
| ( SX1 = SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3546]) ).
thf(3625,plain,
( ( ! [SX0: labeled_graph_b_nat,SX1: labeled_graph_b_nat] :
( ~ ~ ( ( ( labeled_edges_b_nat @ SX0 )
!= ( labeled_edges_b_nat @ SX1 ) )
| ( ( labele460410879_b_nat @ SX0 )
!= ( labele460410879_b_nat @ SX1 ) ) )
| ( SX0 = SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3553]) ).
thf(3626,plain,
( ( ! [SX0: labeled_graph_b_nat,SX1: labeled_graph_b_nat] :
( ~ ( graph_529870330at_nat @ SX0 @ SX1 @ ( id_on_nat @ ( labele460410879_b_nat @ SX0 ) ) )
| ( ord_less_eq_set_nat @ ( labele460410879_b_nat @ SX0 ) @ ( labele460410879_b_nat @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3591]) ).
thf(3627,plain,
( ( ! [SX0: set_nat,SX1: set_nat] :
( ~ ( ord_less_eq_set_nat @ SX0 @ SX1 )
| ~ ~ ( finite_finite_nat @ SX0 )
| ~ ( finite_finite_nat @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3583]) ).
thf(3628,plain,
( ( ! [SX0: labeled_graph_b_nat > labeled_graph_b_nat > $o,SX1: labeled_graph_b_nat,SX2: labeled_graph_b_nat,SX3: produc1235635379_b_nat] :
( ~ ( SX0 @ SX1 @ SX2 )
| ( SX3
!= ( produc951298923_b_nat @ SX1 @ SX2 ) )
| ( SX0 @ ( produc1542243159_b_nat @ SX3 ) @ ( produc194497945_b_nat @ SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3562]) ).
thf(3629,plain,
( ( ( ^ [SX0: produc1478835367term_b,SX1: produc1478835367term_b] : ( SX0 = SX1 ) )
= ( ^ [SX0: produc1478835367term_b,SX1: produc1478835367term_b] :
~ ( ( ( produc854192515term_b @ SX0 )
!= ( produc854192515term_b @ SX1 ) )
| ( ( produc1223098053term_b @ SX0 )
!= ( produc1223098053term_b @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3547]) ).
thf(3630,plain,
( ( ! [SX0: labeled_graph_b_nat,SX1: labeled_graph_b_nat,SX2: labeled_graph_b_nat,SX3: labeled_graph_b_nat] :
( ( ( produc951298923_b_nat @ SX0 @ SX1 )
= ( produc951298923_b_nat @ SX2 @ SX3 ) )
= ( ~ ( ( SX0 != SX2 )
| ( SX1 != SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3526]) ).
thf(3631,plain,
( ( ! [SX0: produc1478835367term_b,SX1: allegorical_term_b,SX2: allegorical_term_b] :
( ( SX0
!= ( produc1990145943term_b @ SX1 @ SX2 ) )
| ( ( produc1223098053term_b @ SX0 )
= SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3571]) ).
thf(3632,plain,
( ( ! [SX0: set_nat] :
( ~ ~ ( finite_finite_nat @ SX0 )
| ( SX0 != bot_bot_set_nat ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3598]) ).
thf(3633,plain,
( ( ! [SX0: labeled_graph_b_nat,SX1: produc1235635379_b_nat] :
( ( SX0
= ( produc194497945_b_nat @ SX1 ) )
= ( ~ ! [SX2: labeled_graph_b_nat] :
( SX1
!= ( produc951298923_b_nat @ SX2 @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3577]) ).
thf(3634,plain,
( ( ! [SX0: produc1478835367term_b,SX1: produc1478835367term_b] :
( ( ( produc854192515term_b @ SX0 )
!= ( produc854192515term_b @ SX1 ) )
| ( ( produc1223098053term_b @ SX0 )
!= ( produc1223098053term_b @ SX1 ) )
| ( SX0 = SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3551]) ).
thf(3635,plain,
( ( ! [SX0: allegorical_term_b,SX1: allegorical_term_b] :
~ ( ~ ~ ( ~ ~ ( ~ ( graph_529870330at_nat @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SX0 ) @ ( translation_b @ ( allegorical_A_Int_b @ SX0 @ SX1 ) ) ) ) @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SX0 ) @ ( translation_b @ ( allegorical_A_Int_b @ SX0 @ SX1 ) ) ) ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SX0 ) @ ( translation_b @ ( allegorical_A_Int_b @ SX0 @ SX1 ) ) ) ) ) ) )
| ( ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SX0 ) @ ( translation_b @ ( allegorical_A_Int_b @ SX0 @ SX1 ) ) ) )
!= ( restrict_b_nat @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SX0 ) @ ( translation_b @ ( allegorical_A_Int_b @ SX0 @ SX1 ) ) ) ) ) ) )
| ~ ( finite_finite_nat @ ( labele460410879_b_nat @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SX0 ) @ ( translation_b @ ( allegorical_A_Int_b @ SX0 @ SX1 ) ) ) ) ) ) )
| ~ ( finite1987068434at_nat @ ( labeled_edges_b_nat @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SX0 ) @ ( translation_b @ ( allegorical_A_Int_b @ SX0 @ SX1 ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3511]) ).
thf(3636,plain,
( ( ! [SX0: allegorical_term_b,SX1: allegorical_term_b,SX2: allegorical_term_b] :
( ( ( produc1223098053term_b @ ( produc1990145943term_b @ SX0 @ SX1 ) )
!= SX2 )
| ( SX1 = SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3545]) ).
thf(3637,plain,
( ( ! [SX0: labeled_graph_b_nat,SX1: produc1235635379_b_nat] :
( ( SX0
= ( produc1542243159_b_nat @ SX1 ) )
= ( ~ ! [SX2: labeled_graph_b_nat] :
( SX1
!= ( produc951298923_b_nat @ SX0 @ SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3578]) ).
thf(3638,plain,
( ( ! [SX0: produc1235635379_b_nat > $o,SX1: produc1235635379_b_nat] :
( ~ ! [SX2: labeled_graph_b_nat,SX3: labeled_graph_b_nat] : ( SX0 @ ( produc951298923_b_nat @ SX2 @ SX3 ) )
| ( SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3529]) ).
thf(3639,plain,
( ( ! [SX0: labeled_graph_b_nat,SX1: labeled_graph_b_nat] :
( ( graph_529870330at_nat @ SX0 @ SX1 @ ( id_on_nat @ ( labele460410879_b_nat @ SX0 ) ) )
= ( ~ ( ~ ~ ( ( SX0
!= ( restrict_b_nat @ SX0 ) )
| ( SX1
!= ( restrict_b_nat @ SX1 ) ) )
| ( ( graph_union_b_nat @ SX0 @ SX1 )
!= SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3594]) ).
thf(3640,plain,
( ( ! [SX0: set_Pr9961929at_nat] :
( ~ ~ ( finite1987068434at_nat @ SX0 )
| ( SX0 != bot_bo1626616373at_nat ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3599]) ).
thf(3641,plain,
( ( ! [SX0: labeled_graph_b_nat > labeled_graph_b_nat > $o,SX1: produc1235635379_b_nat] :
( ~ ( SX0 @ ( produc194497945_b_nat @ SX1 ) @ ( produc1542243159_b_nat @ SX1 ) )
| ~ ! [SX2: labeled_graph_b_nat,SX3: labeled_graph_b_nat] :
~ ( SX0 @ SX3 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3570]) ).
thf(3642,plain,
( ( ! [SX0: labeled_graph_b_nat,SX1: labeled_graph_b_nat] :
( ( SX0
!= ( restrict_b_nat @ SX0 ) )
| ( SX1
!= ( restrict_b_nat @ SX1 ) )
| ( ( graph_union_b_nat @ SX0 @ SX1 )
= ( restrict_b_nat @ ( graph_union_b_nat @ SX0 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3593]) ).
thf(3643,plain,
( ( ! [SX0: labeled_graph_b_nat > labeled_graph_b_nat > $o,SX1: labeled_graph_b_nat,SX2: labeled_graph_b_nat] :
( ~ ( SX0 @ SX1 @ SX2 )
| ( SX0 @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ SX2 @ SX1 ) ) @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ SX2 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3566]) ).
thf(3644,plain,
( ( ! [SX0: produc1235635379_b_nat] :
~ ! [SX1: labeled_graph_b_nat,SX2: labeled_graph_b_nat] :
( SX0
!= ( produc951298923_b_nat @ SX1 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3531]) ).
thf(3645,plain,
( ( ! [SX0: labeled_graph_b_nat,SX1: labeled_graph_b_nat] :
( ~ ( graph_529870330at_nat @ SX0 @ SX1 @ ( id_on_nat @ ( labele460410879_b_nat @ SX0 ) ) )
| ( ord_le910748009at_nat @ ( labeled_edges_b_nat @ ( restrict_b_nat @ SX0 ) ) @ ( labeled_edges_b_nat @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3592]) ).
thf(3646,plain,
( ( ! [SX0: labeled_graph_b_nat,SX1: labeled_graph_b_nat,SX2: labeled_graph_b_nat,SX3: labeled_graph_b_nat] :
( ( ( produc951298923_b_nat @ SX0 @ SX1 )
= ( produc951298923_b_nat @ SX2 @ SX3 ) )
= ( ~ ( ( SX0 != SX2 )
| ( SX1 != SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3524]) ).
thf(3647,plain,
( ( ! [SX0: allegorical_term_b > allegorical_term_b > $o,SX1: allegorical_term_b,SX2: allegorical_term_b,SX3: produc1478835367term_b] :
( ~ ( SX0 @ SX1 @ SX2 )
| ( SX3
!= ( produc1990145943term_b @ SX1 @ SX2 ) )
| ( SX0 @ ( produc854192515term_b @ SX3 ) @ ( produc1223098053term_b @ SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3561]) ).
thf(3648,plain,
( ( ! [SX0: labeled_graph_b_nat] :
( ~ ( ord_le910748009at_nat @ ( labeled_edges_b_nat @ SX0 ) @ ( labeled_edges_b_nat @ ( restrict_b_nat @ SX0 ) ) )
| ( SX0
= ( restrict_b_nat @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3589]) ).
thf(3649,plain,
( ( ! [SX0: produc1235635379_b_nat,SX1: labeled_graph_b_nat,SX2: labeled_graph_b_nat] :
( ( SX0
!= ( produc951298923_b_nat @ SX1 @ SX2 ) )
| ( ( produc194497945_b_nat @ SX0 )
= SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3572]) ).
thf(3650,plain,
( ( ! [SX0: labeled_graph_b_nat,SX1: labeled_graph_b_nat,SX2: labeled_graph_b_nat] :
( ( ( produc1542243159_b_nat @ ( produc951298923_b_nat @ SX0 @ SX1 ) )
!= SX2 )
| ( SX0 = SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3541]) ).
thf(3651,plain,
( ( ! [SX0: produc1235635379_b_nat] :
~ ! [SX1: labeled_graph_b_nat] :
~ ~ ! [SX2: labeled_graph_b_nat] :
( SX0
!= ( produc951298923_b_nat @ SX1 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3537]) ).
thf(3652,plain,
( ( ! [SX0: set_nat,SX1: set_nat] :
( ~ ( finite_finite_nat @ SX0 )
| ~ ( ord_less_eq_set_nat @ SX1 @ SX0 )
| ( finite_finite_nat @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3585]) ).
thf(3653,plain,
( ( ! [SX0: produc1235635379_b_nat,SX1: produc1235635379_b_nat] :
( ~ ~ ( ( ( produc1542243159_b_nat @ SX0 )
!= ( produc1542243159_b_nat @ SX1 ) )
| ( ( produc194497945_b_nat @ SX0 )
!= ( produc194497945_b_nat @ SX1 ) ) )
| ( SX0 = SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3550]) ).
thf(3654,plain,
( ( ! [SX0: labeled_graph_b_nat,SX1: labeled_graph_b_nat,SX2: set_Pr551076371_b_nat,SX3: labeled_graph_b_nat] :
( ~ ( member963855452_b_nat @ ( produc951298923_b_nat @ SX0 @ SX1 ) @ SX2 )
| ( SX3 != SX1 )
| ( member963855452_b_nat @ ( produc951298923_b_nat @ SX0 @ SX3 ) @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3600]) ).
thf(3655,plain,
( ( ! [SX0: produc1478835367term_b > $o,SX1: produc1478835367term_b] :
( ~ ! [SX2: allegorical_term_b,SX3: allegorical_term_b] : ( SX0 @ ( produc1990145943term_b @ SX2 @ SX3 ) )
| ( SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3536]) ).
thf(3656,plain,
( ( ! [SX0: set_Pr9961929at_nat,SX1: set_Pr9961929at_nat] :
( ~ ( finite1987068434at_nat @ SX0 )
| ~ ( ord_le910748009at_nat @ SX1 @ SX0 )
| ( finite1987068434at_nat @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3586]) ).
thf(3657,plain,
( ( ! [SX0: nat > labeled_graph_b_nat,SX1: nat] :
( ~ ( chain_b_nat @ SX0 )
| ( ( SX0 @ SX1 )
= ( restrict_b_nat @ ( SX0 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3575]) ).
thf(3658,plain,
( ( ! [SX0: set_nat,SX1: set_nat] :
( ~ ( ord_less_eq_set_nat @ SX0 @ SX1 )
| ~ ( finite_finite_nat @ SX1 )
| ( finite_finite_nat @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3581]) ).
thf(3659,plain,
( ( ! [SX0: labeled_graph_b_nat,SX1: labeled_graph_b_nat,SX2: labeled_graph_b_nat] :
( ~ ( graph_529870330at_nat @ SX0 @ SX1 @ ( id_on_nat @ ( labele460410879_b_nat @ SX0 ) ) )
| ~ ( graph_529870330at_nat @ SX1 @ SX2 @ ( id_on_nat @ ( labele460410879_b_nat @ SX1 ) ) )
| ( graph_529870330at_nat @ SX0 @ SX2 @ ( id_on_nat @ ( labele460410879_b_nat @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3559]) ).
thf(3660,plain,
( ( ! [SX0: produc1478835367term_b] :
~ ! [SX1: allegorical_term_b,SX2: allegorical_term_b] :
( SX0
!= ( produc1990145943term_b @ SX1 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3532]) ).
thf(3661,plain,
( ( ! [SX0: labeled_graph_b_nat,SX1: labeled_graph_b_nat,SX2: set_Pr1986765409at_nat] :
( ~ ( graph_529870330at_nat @ SX0 @ SX1 @ SX2 )
| ( extensible_b_nat_nat @ ( produc951298923_b_nat @ SX0 @ SX0 ) @ SX1 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3568]) ).
thf(3662,plain,
( ( ! [SX0: labeled_graph_b_nat > $o,SX1: labeled_graph_b_nat,SX2: labeled_graph_b_nat > $o,SX3: labeled_graph_b_nat] :
( ~ ( SX0 @ SX1 )
| ~ ( SX2 @ SX3 )
| ~ ( ~ ( SX0 @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ SX1 @ SX3 ) ) )
| ~ ( SX2 @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ SX1 @ SX3 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3564]) ).
thf(3663,plain,
( ( ! [SX0: produc1235635379_b_nat,SX1: labeled_graph_b_nat,SX2: labeled_graph_b_nat] :
( ( SX0
!= ( produc951298923_b_nat @ SX1 @ SX2 ) )
| ( ( produc1542243159_b_nat @ SX0 )
= SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3573]) ).
thf(3664,plain,
( ( ! [SX0: set_Pr9961929at_nat,SX1: set_Pr9961929at_nat] :
( ~ ( ord_le910748009at_nat @ SX0 @ SX1 )
| ~ ~ ( finite1987068434at_nat @ SX0 )
| ~ ( finite1987068434at_nat @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3584]) ).
thf(3665,plain,
( ( ! [SX0: allegorical_term_b > allegorical_term_b > $o,SX1: produc1478835367term_b] :
( ~ ( SX0 @ ( produc1223098053term_b @ SX1 ) @ ( produc854192515term_b @ SX1 ) )
| ~ ! [SX2: allegorical_term_b,SX3: allegorical_term_b] :
~ ( SX0 @ SX3 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3569]) ).
thf(3666,plain,
( ( ! [SX0: allegorical_term_b,SX1: allegorical_term_b,SX2: allegorical_term_b,SX3: allegorical_term_b] :
( ( ( produc1990145943term_b @ SX0 @ SX1 )
= ( produc1990145943term_b @ SX2 @ SX3 ) )
= ( ~ ( ( SX0 != SX2 )
| ( SX1 != SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3525]) ).
thf(3667,plain,
( ( ! [SX0: allegorical_term_b,SX1: allegorical_term_b,SX2: allegorical_term_b] :
( ( ( produc854192515term_b @ ( produc1990145943term_b @ SX0 @ SX1 ) )
!= SX2 )
| ( SX0 = SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3542]) ).
thf(3668,plain,
( ( ! [SX0: produc1235635379_b_nat > $o,SX1: produc1235635379_b_nat] :
( ~ ! [SX2: labeled_graph_b_nat,SX3: labeled_graph_b_nat] : ( SX0 @ ( produc951298923_b_nat @ SX2 @ SX3 ) )
| ( SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3535]) ).
thf(3669,plain,
( ( ! [SX0: produc1478835367term_b,SX1: allegorical_term_b,SX2: allegorical_term_b] :
( ( SX0
!= ( produc1990145943term_b @ SX1 @ SX2 ) )
| ( ( produc854192515term_b @ SX0 )
= SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3574]) ).
thf(3670,plain,
( ( ! [SX0: allegorical_term_b,SX1: produc1478835367term_b] :
( ( SX0
= ( produc854192515term_b @ SX1 ) )
= ( ~ ! [SX2: allegorical_term_b] :
( SX1
!= ( produc1990145943term_b @ SX0 @ SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3579]) ).
thf(3671,plain,
! [SV613: labeled_graph_b_nat] :
( ( ( graph_529870330at_nat @ SV613 @ SV613 @ ( id_on_nat @ ( labele460410879_b_nat @ SV613 ) ) )
= ( SV613
= ( restrict_b_nat @ SV613 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3512]) ).
thf(3672,plain,
! [SV614: labeled_graph_b_nat] :
( ( ( graph_529870330at_nat @ SV614 @ ( restrict_b_nat @ SV614 ) @ ( id_on_nat @ ( labele460410879_b_nat @ SV614 ) ) )
= ( SV614
= ( restrict_b_nat @ SV614 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3513]) ).
thf(3673,plain,
! [SV615: labeled_graph_b_nat] :
( ( graph_529870330at_nat @ ( restrict_b_nat @ SV615 ) @ ( restrict_b_nat @ SV615 ) @ ( id_on_nat @ ( labele460410879_b_nat @ SV615 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3514]) ).
thf(3674,plain,
! [SV616: allegorical_term_b] :
( ( finite1987068434at_nat @ ( labeled_edges_b_nat @ ( translation_b @ SV616 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3515]) ).
thf(3675,plain,
! [SV617: allegorical_term_b] :
( ( finite_finite_nat @ ( labele460410879_b_nat @ ( translation_b @ SV617 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3518]) ).
thf(3676,plain,
! [SV618: produc1478835367term_b] :
( ( ( produc1990145943term_b @ ( produc854192515term_b @ SV618 ) @ ( produc1223098053term_b @ SV618 ) )
= SV618 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3520]) ).
thf(3677,plain,
! [SV619: produc1235635379_b_nat] :
( ( ( produc951298923_b_nat @ ( produc1542243159_b_nat @ SV619 ) @ ( produc194497945_b_nat @ SV619 ) )
= SV619 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3521]) ).
thf(3678,plain,
( ( ! [SV620: allegorical_term_b] :
( ( translation_b @ SV620 )
= ( restrict_b_nat @ ( translation_b @ SV620 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[3522]) ).
thf(3679,plain,
( ( translation_b
= ( ^ [X2: allegorical_term_b] : ( restrict_b_nat @ ( translation_b @ X2 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[3522]) ).
thf(3680,plain,
! [SV621: labeled_graph_b_nat] :
( ( ( labele460410879_b_nat @ ( restrict_b_nat @ SV621 ) )
= ( labele460410879_b_nat @ SV621 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3523]) ).
thf(3681,plain,
! [SV622: labeled_graph_b_nat] :
( ( ( restrict_b_nat @ ( restrict_b_nat @ SV622 ) )
= ( restrict_b_nat @ SV622 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3528]) ).
thf(3682,plain,
! [SV623: labeled_graph_b_nat] :
( ( ! [SY886: labeled_graph_b_nat] :
( ( produc1542243159_b_nat @ ( produc951298923_b_nat @ SV623 @ SY886 ) )
= SV623 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3539]) ).
thf(3683,plain,
! [SV624: allegorical_term_b] :
( ( ! [SY887: allegorical_term_b] :
( ( produc854192515term_b @ ( produc1990145943term_b @ SV624 @ SY887 ) )
= SV624 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3540]) ).
thf(3684,plain,
! [SV625: allegorical_term_b] :
( ( ! [SY888: allegorical_term_b] :
( ( produc1223098053term_b @ ( produc1990145943term_b @ SV625 @ SY888 ) )
= SY888 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3543]) ).
thf(3685,plain,
! [SV626: labeled_graph_b_nat] :
( ( ! [SY889: labeled_graph_b_nat] :
( ( produc194497945_b_nat @ ( produc951298923_b_nat @ SV626 @ SY889 ) )
= SY889 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3544]) ).
thf(3686,plain,
! [SV627: produc1478835367term_b] :
( ( SV627
= ( produc1990145943term_b @ ( produc854192515term_b @ SV627 ) @ ( produc1223098053term_b @ SV627 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3554]) ).
thf(3687,plain,
! [SV628: produc1235635379_b_nat] :
( ( SV628
= ( produc951298923_b_nat @ ( produc1542243159_b_nat @ SV628 ) @ ( produc194497945_b_nat @ SV628 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3555]) ).
thf(3688,plain,
! [SV629: produc1478835367term_b] :
( ( SV629
= ( produc1990145943term_b @ ( produc854192515term_b @ SV629 ) @ ( produc1223098053term_b @ SV629 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3556]) ).
thf(3689,plain,
! [SV630: produc1235635379_b_nat] :
( ( SV630
= ( produc951298923_b_nat @ ( produc1542243159_b_nat @ SV630 ) @ ( produc194497945_b_nat @ SV630 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3557]) ).
thf(3690,plain,
! [SV631: allegorical_term_b] :
( ( inv_translation @ ( labele460410879_b_nat @ ( translation_b @ SV631 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3560]) ).
thf(3691,plain,
! [SV632: labeled_graph_b_nat] :
( ( ( labeled_LG_b_nat @ ( labeled_edges_b_nat @ SV632 ) @ ( labele460410879_b_nat @ SV632 ) )
= SV632 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3580]) ).
thf(3692,plain,
! [SV633: set_Pr9961929at_nat] :
( ( ! [SY890: set_nat] :
( ( labele460410879_b_nat @ ( labeled_LG_b_nat @ SV633 @ SY890 ) )
= SY890 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3587]) ).
thf(3693,plain,
! [SV634: set_Pr9961929at_nat] :
( ( ! [SY891: set_nat] :
( ( labeled_edges_b_nat @ ( labeled_LG_b_nat @ SV634 @ SY891 ) )
= SV634 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3588]) ).
thf(3694,plain,
! [SV635: labeled_graph_b_nat] :
( ( SV635
= ( labeled_LG_b_nat @ ( labeled_edges_b_nat @ SV635 ) @ ( labele460410879_b_nat @ SV635 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3590]) ).
thf(3695,plain,
! [SV636: set_nat] :
( ( univalent_nat_nat @ ( id_on_nat @ SV636 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3602]) ).
thf(3696,plain,
! [SV637: set_nat] :
( ( ( domain_nat_nat @ ( id_on_nat @ SV637 ) )
= SV637 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3603]) ).
thf(3697,plain,
( ( finite1987068434at_nat @ ( labeled_edges_b_nat @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ ( produc854192515term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) @ ( translation_b @ ( produc1223098053term_b @ ( produc1990145943term_b @ u @ ( allegorical_A_Int_b @ u @ v ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[3604]) ).
thf(3698,plain,
! [SV638: allegorical_term_b] :
( ( ! [SY892: produc1478835367term_b] :
( ( SV638
= ( produc1223098053term_b @ SY892 ) )
= ( ~ ! [SY893: allegorical_term_b] :
( SY892
!= ( produc1990145943term_b @ SY893 @ SV638 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3605]) ).
thf(3699,plain,
! [SV639: produc1235635379_b_nat] :
( ( ! [SY894: produc1235635379_b_nat] :
( ( ( produc1542243159_b_nat @ SV639 )
!= ( produc1542243159_b_nat @ SY894 ) )
| ( ( produc194497945_b_nat @ SV639 )
!= ( produc194497945_b_nat @ SY894 ) )
| ( SV639 = SY894 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3606]) ).
thf(3700,plain,
! [SV640: allegorical_term_b] :
( ( ! [SY895: allegorical_term_b,SY896: set_Pr1163220871term_b,SY897: allegorical_term_b] :
( ~ ( member516522448term_b @ ( produc1990145943term_b @ SV640 @ SY895 ) @ SY896 )
| ( SY897 != SY895 )
| ( member516522448term_b @ ( produc1990145943term_b @ SV640 @ SY897 ) @ SY896 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3607]) ).
thf(3701,plain,
! [SV641: produc1478835367term_b > $o] :
( ( ! [SY898: produc1478835367term_b] :
( ~ ! [SY899: allegorical_term_b,SY900: allegorical_term_b] : ( SV641 @ ( produc1990145943term_b @ SY899 @ SY900 ) )
| ( SV641 @ SY898 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3608]) ).
thf(3702,plain,
! [SV642: labeled_graph_b_nat] :
( ( ! [SY901: labeled_graph_b_nat,SY902: labeled_graph_b_nat,SY903: labeled_graph_b_nat] :
( ( ( produc951298923_b_nat @ SV642 @ SY901 )
!= ( produc951298923_b_nat @ SY902 @ SY903 ) )
| ~ ( ( SV642 != SY902 )
| ( SY901 != SY903 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3609]) ).
thf(3703,plain,
! [SV643: allegorical_term_b] :
( ( ! [SY904: allegorical_term_b,SY905: allegorical_term_b,SY906: allegorical_term_b] :
( ( ( produc1990145943term_b @ SV643 @ SY904 )
!= ( produc1990145943term_b @ SY905 @ SY906 ) )
| ~ ( ( SV643 != SY905 )
| ( SY904 != SY906 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3610]) ).
thf(3704,plain,
( ( ! [SV644: produc1235635379_b_nat] :
( ( ^ [SY907: produc1235635379_b_nat] : ( SV644 = SY907 ) )
= ( ^ [SY908: produc1235635379_b_nat] :
~ ( ( ( produc1542243159_b_nat @ SV644 )
!= ( produc1542243159_b_nat @ SY908 ) )
| ( ( produc194497945_b_nat @ SV644 )
!= ( produc194497945_b_nat @ SY908 ) ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[3611]) ).
thf(3705,plain,
( ( ( ^ [SX0: produc1235635379_b_nat,SX1: produc1235635379_b_nat] : ( SX0 = SX1 ) )
= ( ^ [SX0: produc1235635379_b_nat,SX1: produc1235635379_b_nat] :
~ ( ( ( produc1542243159_b_nat @ SX0 )
!= ( produc1542243159_b_nat @ SX1 ) )
| ( ( produc194497945_b_nat @ SX0 )
!= ( produc194497945_b_nat @ SX1 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[3611]) ).
thf(3706,plain,
! [SV645: labeled_graph_b_nat] :
( ( ! [SY909: labeled_graph_b_nat,SY910: set_Pr1986765409at_nat,SY911: labeled_graph_b_nat,SY912: set_Pr1986765409at_nat] :
( ~ ( graph_529870330at_nat @ SV645 @ SY909 @ SY910 )
| ~ ( graph_529870330at_nat @ SY909 @ SY911 @ SY912 )
| ( graph_529870330at_nat @ SV645 @ SY911 @ ( relcomp_nat_nat_nat @ SY910 @ SY912 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3612]) ).
thf(3707,plain,
! [SV646: labeled_graph_b_nat] :
( ( ! [SY913: labeled_graph_b_nat,SY914: labeled_graph_b_nat,SY915: set_Pr1986765409at_nat] :
( ~ ( graph_529870330at_nat @ SV646 @ SY913 @ ( id_on_nat @ ( labele460410879_b_nat @ SV646 ) ) )
| ~ ( graph_529870330at_nat @ SY914 @ SV646 @ SY915 )
| ( graph_529870330at_nat @ SY914 @ SY913 @ SY915 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3613]) ).
thf(3708,plain,
! [SV647: b] :
( ( ~ ( ~ ~ ( ~ ~ ( ~ ( graph_529870330at_nat @ ( produc1542243159_b_nat @ ( standa1360217389rule_b @ SV647 ) ) @ ( produc194497945_b_nat @ ( standa1360217389rule_b @ SV647 ) ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ ( standa1360217389rule_b @ SV647 ) ) ) ) )
| ( ( produc194497945_b_nat @ ( standa1360217389rule_b @ SV647 ) )
!= ( restrict_b_nat @ ( produc194497945_b_nat @ ( standa1360217389rule_b @ SV647 ) ) ) ) )
| ~ ( finite_finite_nat @ ( labele460410879_b_nat @ ( produc194497945_b_nat @ ( standa1360217389rule_b @ SV647 ) ) ) ) )
| ~ ( finite1987068434at_nat @ ( labeled_edges_b_nat @ ( produc194497945_b_nat @ ( standa1360217389rule_b @ SV647 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3614]) ).
thf(3709,plain,
! [SV648: allegorical_term_b] :
( ( ! [SY916: allegorical_term_b,SY917: allegorical_term_b,SY918: allegorical_term_b] :
( ( ( allegorical_A_Int_b @ SV648 @ SY916 )
= ( allegorical_A_Int_b @ SY917 @ SY918 ) )
= ( ~ ( ( SV648 != SY917 )
| ( SY916 != SY918 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3615]) ).
thf(3710,plain,
! [SV649: allegorical_term_b] :
( ( ! [SY919: allegorical_term_b,SY920: allegorical_term_b,SY921: allegorical_term_b] :
( ( ( produc1990145943term_b @ SV649 @ SY919 )
= ( produc1990145943term_b @ SY920 @ SY921 ) )
= ( ~ ( ( SV649 != SY920 )
| ( SY919 != SY921 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3616]) ).
thf(3711,plain,
! [SV650: allegorical_term_b > $o] :
( ( ! [SY922: allegorical_term_b,SY923: allegorical_term_b > $o,SY924: allegorical_term_b] :
( ~ ( SV650 @ SY922 )
| ~ ( SY923 @ SY924 )
| ~ ( ~ ( SV650 @ ( produc854192515term_b @ ( produc1990145943term_b @ SY922 @ SY924 ) ) )
| ~ ( SY923 @ ( produc1223098053term_b @ ( produc1990145943term_b @ SY922 @ SY924 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3617]) ).
thf(3712,plain,
! [SV651: b] :
( ( ~ ( ~ ~ ( ~ ~ ( ~ ( graph_529870330at_nat @ ( produc1542243159_b_nat @ ( standa1329480013rule_b @ SV651 ) ) @ ( produc194497945_b_nat @ ( standa1329480013rule_b @ SV651 ) ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ ( standa1329480013rule_b @ SV651 ) ) ) ) )
| ( ( produc194497945_b_nat @ ( standa1329480013rule_b @ SV651 ) )
!= ( restrict_b_nat @ ( produc194497945_b_nat @ ( standa1329480013rule_b @ SV651 ) ) ) ) )
| ~ ( finite_finite_nat @ ( labele460410879_b_nat @ ( produc194497945_b_nat @ ( standa1329480013rule_b @ SV651 ) ) ) ) )
| ~ ( finite1987068434at_nat @ ( labeled_edges_b_nat @ ( produc194497945_b_nat @ ( standa1329480013rule_b @ SV651 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3618]) ).
thf(3713,plain,
( ( ~ ~ ( ~ ~ ( ~ ( graph_529870330at_nat @ ( produc1542243159_b_nat @ standa879863266rule_b ) @ ( produc194497945_b_nat @ standa879863266rule_b ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ standa879863266rule_b ) ) ) )
| ( ( produc194497945_b_nat @ standa879863266rule_b )
!= ( restrict_b_nat @ ( produc194497945_b_nat @ standa879863266rule_b ) ) ) )
| ~ ( finite_finite_nat @ ( labele460410879_b_nat @ ( produc194497945_b_nat @ standa879863266rule_b ) ) ) )
| ~ ( finite1987068434at_nat @ ( labeled_edges_b_nat @ ( produc194497945_b_nat @ standa879863266rule_b ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[3619]) ).
thf(3714,plain,
! [SV652: allegorical_term_b > allegorical_term_b > $o] :
( ( ! [SY925: allegorical_term_b,SY926: allegorical_term_b] :
( ~ ( SV652 @ SY925 @ SY926 )
| ( SV652 @ ( produc1223098053term_b @ ( produc1990145943term_b @ SY926 @ SY925 ) ) @ ( produc854192515term_b @ ( produc1990145943term_b @ SY926 @ SY925 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3620]) ).
thf(3715,plain,
! [SV653: produc1478835367term_b] :
( ( ~ ! [SY927: allegorical_term_b] :
~ ~ ! [SY928: allegorical_term_b] :
( SV653
!= ( produc1990145943term_b @ SY927 @ SY928 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3621]) ).
thf(3716,plain,
! [SV654: produc1478835367term_b] :
( ( ! [SY929: produc1478835367term_b] :
( ~ ~ ( ( ( produc854192515term_b @ SV654 )
!= ( produc854192515term_b @ SY929 ) )
| ( ( produc1223098053term_b @ SV654 )
!= ( produc1223098053term_b @ SY929 ) ) )
| ( SV654 = SY929 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3622]) ).
thf(3717,plain,
! [SV655: set_Pr9961929at_nat] :
( ( ! [SY930: set_Pr9961929at_nat] :
( ~ ( ord_le910748009at_nat @ SV655 @ SY930 )
| ~ ( finite1987068434at_nat @ SY930 )
| ( finite1987068434at_nat @ SV655 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3623]) ).
thf(3718,plain,
! [SV656: labeled_graph_b_nat] :
( ( ! [SY931: labeled_graph_b_nat,SY932: labeled_graph_b_nat] :
( ( ( produc194497945_b_nat @ ( produc951298923_b_nat @ SV656 @ SY931 ) )
!= SY932 )
| ( SY931 = SY932 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3624]) ).
thf(3719,plain,
! [SV657: labeled_graph_b_nat] :
( ( ! [SY933: labeled_graph_b_nat] :
( ~ ~ ( ( ( labeled_edges_b_nat @ SV657 )
!= ( labeled_edges_b_nat @ SY933 ) )
| ( ( labele460410879_b_nat @ SV657 )
!= ( labele460410879_b_nat @ SY933 ) ) )
| ( SV657 = SY933 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3625]) ).
thf(3720,plain,
! [SV658: labeled_graph_b_nat] :
( ( ! [SY934: labeled_graph_b_nat] :
( ~ ( graph_529870330at_nat @ SV658 @ SY934 @ ( id_on_nat @ ( labele460410879_b_nat @ SV658 ) ) )
| ( ord_less_eq_set_nat @ ( labele460410879_b_nat @ SV658 ) @ ( labele460410879_b_nat @ SY934 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3626]) ).
thf(3721,plain,
! [SV659: set_nat] :
( ( ! [SY935: set_nat] :
( ~ ( ord_less_eq_set_nat @ SV659 @ SY935 )
| ~ ~ ( finite_finite_nat @ SV659 )
| ~ ( finite_finite_nat @ SY935 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3627]) ).
thf(3722,plain,
! [SV660: labeled_graph_b_nat > labeled_graph_b_nat > $o] :
( ( ! [SY936: labeled_graph_b_nat,SY937: labeled_graph_b_nat,SY938: produc1235635379_b_nat] :
( ~ ( SV660 @ SY936 @ SY937 )
| ( SY938
!= ( produc951298923_b_nat @ SY936 @ SY937 ) )
| ( SV660 @ ( produc1542243159_b_nat @ SY938 ) @ ( produc194497945_b_nat @ SY938 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3628]) ).
thf(3723,plain,
( ( ! [SV661: produc1478835367term_b] :
( ( ^ [SY939: produc1478835367term_b] : ( SV661 = SY939 ) )
= ( ^ [SY940: produc1478835367term_b] :
~ ( ( ( produc854192515term_b @ SV661 )
!= ( produc854192515term_b @ SY940 ) )
| ( ( produc1223098053term_b @ SV661 )
!= ( produc1223098053term_b @ SY940 ) ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[3629]) ).
thf(3724,plain,
( ( ( ^ [SX0: produc1478835367term_b,SX1: produc1478835367term_b] : ( SX0 = SX1 ) )
= ( ^ [SX0: produc1478835367term_b,SX1: produc1478835367term_b] :
~ ( ( ( produc854192515term_b @ SX0 )
!= ( produc854192515term_b @ SX1 ) )
| ( ( produc1223098053term_b @ SX0 )
!= ( produc1223098053term_b @ SX1 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[3629]) ).
thf(3725,plain,
! [SV662: labeled_graph_b_nat] :
( ( ! [SY941: labeled_graph_b_nat,SY942: labeled_graph_b_nat,SY943: labeled_graph_b_nat] :
( ( ( produc951298923_b_nat @ SV662 @ SY941 )
= ( produc951298923_b_nat @ SY942 @ SY943 ) )
= ( ~ ( ( SV662 != SY942 )
| ( SY941 != SY943 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3630]) ).
thf(3726,plain,
! [SV663: produc1478835367term_b] :
( ( ! [SY944: allegorical_term_b,SY945: allegorical_term_b] :
( ( SV663
!= ( produc1990145943term_b @ SY944 @ SY945 ) )
| ( ( produc1223098053term_b @ SV663 )
= SY945 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3631]) ).
thf(3727,plain,
! [SV664: set_nat] :
( ( ~ ~ ( finite_finite_nat @ SV664 )
| ( SV664 != bot_bot_set_nat ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3632]) ).
thf(3728,plain,
! [SV665: labeled_graph_b_nat] :
( ( ! [SY946: produc1235635379_b_nat] :
( ( SV665
= ( produc194497945_b_nat @ SY946 ) )
= ( ~ ! [SY947: labeled_graph_b_nat] :
( SY946
!= ( produc951298923_b_nat @ SY947 @ SV665 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3633]) ).
thf(3729,plain,
! [SV666: produc1478835367term_b] :
( ( ! [SY948: produc1478835367term_b] :
( ( ( produc854192515term_b @ SV666 )
!= ( produc854192515term_b @ SY948 ) )
| ( ( produc1223098053term_b @ SV666 )
!= ( produc1223098053term_b @ SY948 ) )
| ( SV666 = SY948 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3634]) ).
thf(3730,plain,
! [SV667: allegorical_term_b] :
( ( ! [SY949: allegorical_term_b] :
~ ( ~ ~ ( ~ ~ ( ~ ( graph_529870330at_nat @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV667 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV667 @ SY949 ) ) ) ) @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV667 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV667 @ SY949 ) ) ) ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV667 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV667 @ SY949 ) ) ) ) ) ) )
| ( ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV667 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV667 @ SY949 ) ) ) )
!= ( restrict_b_nat @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV667 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV667 @ SY949 ) ) ) ) ) ) )
| ~ ( finite_finite_nat @ ( labele460410879_b_nat @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV667 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV667 @ SY949 ) ) ) ) ) ) )
| ~ ( finite1987068434at_nat @ ( labeled_edges_b_nat @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV667 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV667 @ SY949 ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3635]) ).
thf(3731,plain,
! [SV668: allegorical_term_b] :
( ( ! [SY950: allegorical_term_b,SY951: allegorical_term_b] :
( ( ( produc1223098053term_b @ ( produc1990145943term_b @ SV668 @ SY950 ) )
!= SY951 )
| ( SY950 = SY951 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3636]) ).
thf(3732,plain,
! [SV669: labeled_graph_b_nat] :
( ( ! [SY952: produc1235635379_b_nat] :
( ( SV669
= ( produc1542243159_b_nat @ SY952 ) )
= ( ~ ! [SY953: labeled_graph_b_nat] :
( SY952
!= ( produc951298923_b_nat @ SV669 @ SY953 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3637]) ).
thf(3733,plain,
! [SV670: produc1235635379_b_nat > $o] :
( ( ! [SY954: produc1235635379_b_nat] :
( ~ ! [SY955: labeled_graph_b_nat,SY956: labeled_graph_b_nat] : ( SV670 @ ( produc951298923_b_nat @ SY955 @ SY956 ) )
| ( SV670 @ SY954 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3638]) ).
thf(3734,plain,
! [SV671: labeled_graph_b_nat] :
( ( ! [SY957: labeled_graph_b_nat] :
( ( graph_529870330at_nat @ SV671 @ SY957 @ ( id_on_nat @ ( labele460410879_b_nat @ SV671 ) ) )
= ( ~ ( ~ ~ ( ( SV671
!= ( restrict_b_nat @ SV671 ) )
| ( SY957
!= ( restrict_b_nat @ SY957 ) ) )
| ( ( graph_union_b_nat @ SV671 @ SY957 )
!= SY957 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3639]) ).
thf(3735,plain,
! [SV672: set_Pr9961929at_nat] :
( ( ~ ~ ( finite1987068434at_nat @ SV672 )
| ( SV672 != bot_bo1626616373at_nat ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3640]) ).
thf(3736,plain,
! [SV673: labeled_graph_b_nat > labeled_graph_b_nat > $o] :
( ( ! [SY958: produc1235635379_b_nat] :
( ~ ( SV673 @ ( produc194497945_b_nat @ SY958 ) @ ( produc1542243159_b_nat @ SY958 ) )
| ~ ! [SY959: labeled_graph_b_nat,SY960: labeled_graph_b_nat] :
~ ( SV673 @ SY960 @ SY959 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3641]) ).
thf(3737,plain,
! [SV674: labeled_graph_b_nat] :
( ( ! [SY961: labeled_graph_b_nat] :
( ( SV674
!= ( restrict_b_nat @ SV674 ) )
| ( SY961
!= ( restrict_b_nat @ SY961 ) )
| ( ( graph_union_b_nat @ SV674 @ SY961 )
= ( restrict_b_nat @ ( graph_union_b_nat @ SV674 @ SY961 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3642]) ).
thf(3738,plain,
! [SV675: labeled_graph_b_nat > labeled_graph_b_nat > $o] :
( ( ! [SY962: labeled_graph_b_nat,SY963: labeled_graph_b_nat] :
( ~ ( SV675 @ SY962 @ SY963 )
| ( SV675 @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ SY963 @ SY962 ) ) @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ SY963 @ SY962 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3643]) ).
thf(3739,plain,
! [SV676: produc1235635379_b_nat] :
( ( ~ ! [SY964: labeled_graph_b_nat,SY965: labeled_graph_b_nat] :
( SV676
!= ( produc951298923_b_nat @ SY964 @ SY965 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3644]) ).
thf(3740,plain,
! [SV677: labeled_graph_b_nat] :
( ( ! [SY966: labeled_graph_b_nat] :
( ~ ( graph_529870330at_nat @ SV677 @ SY966 @ ( id_on_nat @ ( labele460410879_b_nat @ SV677 ) ) )
| ( ord_le910748009at_nat @ ( labeled_edges_b_nat @ ( restrict_b_nat @ SV677 ) ) @ ( labeled_edges_b_nat @ SY966 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3645]) ).
thf(3741,plain,
! [SV678: labeled_graph_b_nat] :
( ( ! [SY967: labeled_graph_b_nat,SY968: labeled_graph_b_nat,SY969: labeled_graph_b_nat] :
( ( ( produc951298923_b_nat @ SV678 @ SY967 )
= ( produc951298923_b_nat @ SY968 @ SY969 ) )
= ( ~ ( ( SV678 != SY968 )
| ( SY967 != SY969 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3646]) ).
thf(3742,plain,
! [SV679: allegorical_term_b > allegorical_term_b > $o] :
( ( ! [SY970: allegorical_term_b,SY971: allegorical_term_b,SY972: produc1478835367term_b] :
( ~ ( SV679 @ SY970 @ SY971 )
| ( SY972
!= ( produc1990145943term_b @ SY970 @ SY971 ) )
| ( SV679 @ ( produc854192515term_b @ SY972 ) @ ( produc1223098053term_b @ SY972 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3647]) ).
thf(3743,plain,
! [SV680: labeled_graph_b_nat] :
( ( ~ ( ord_le910748009at_nat @ ( labeled_edges_b_nat @ SV680 ) @ ( labeled_edges_b_nat @ ( restrict_b_nat @ SV680 ) ) )
| ( SV680
= ( restrict_b_nat @ SV680 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3648]) ).
thf(3744,plain,
! [SV681: produc1235635379_b_nat] :
( ( ! [SY973: labeled_graph_b_nat,SY974: labeled_graph_b_nat] :
( ( SV681
!= ( produc951298923_b_nat @ SY973 @ SY974 ) )
| ( ( produc194497945_b_nat @ SV681 )
= SY974 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3649]) ).
thf(3745,plain,
! [SV682: labeled_graph_b_nat] :
( ( ! [SY975: labeled_graph_b_nat,SY976: labeled_graph_b_nat] :
( ( ( produc1542243159_b_nat @ ( produc951298923_b_nat @ SV682 @ SY975 ) )
!= SY976 )
| ( SV682 = SY976 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3650]) ).
thf(3746,plain,
! [SV683: produc1235635379_b_nat] :
( ( ~ ! [SY977: labeled_graph_b_nat] :
~ ~ ! [SY978: labeled_graph_b_nat] :
( SV683
!= ( produc951298923_b_nat @ SY977 @ SY978 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3651]) ).
thf(3747,plain,
! [SV684: set_nat] :
( ( ! [SY979: set_nat] :
( ~ ( finite_finite_nat @ SV684 )
| ~ ( ord_less_eq_set_nat @ SY979 @ SV684 )
| ( finite_finite_nat @ SY979 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3652]) ).
thf(3748,plain,
! [SV685: produc1235635379_b_nat] :
( ( ! [SY980: produc1235635379_b_nat] :
( ~ ~ ( ( ( produc1542243159_b_nat @ SV685 )
!= ( produc1542243159_b_nat @ SY980 ) )
| ( ( produc194497945_b_nat @ SV685 )
!= ( produc194497945_b_nat @ SY980 ) ) )
| ( SV685 = SY980 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3653]) ).
thf(3749,plain,
! [SV686: labeled_graph_b_nat] :
( ( ! [SY981: labeled_graph_b_nat,SY982: set_Pr551076371_b_nat,SY983: labeled_graph_b_nat] :
( ~ ( member963855452_b_nat @ ( produc951298923_b_nat @ SV686 @ SY981 ) @ SY982 )
| ( SY983 != SY981 )
| ( member963855452_b_nat @ ( produc951298923_b_nat @ SV686 @ SY983 ) @ SY982 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3654]) ).
thf(3750,plain,
! [SV687: produc1478835367term_b > $o] :
( ( ! [SY984: produc1478835367term_b] :
( ~ ! [SY985: allegorical_term_b,SY986: allegorical_term_b] : ( SV687 @ ( produc1990145943term_b @ SY985 @ SY986 ) )
| ( SV687 @ SY984 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3655]) ).
thf(3751,plain,
! [SV688: set_Pr9961929at_nat] :
( ( ! [SY987: set_Pr9961929at_nat] :
( ~ ( finite1987068434at_nat @ SV688 )
| ~ ( ord_le910748009at_nat @ SY987 @ SV688 )
| ( finite1987068434at_nat @ SY987 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3656]) ).
thf(3752,plain,
! [SV689: nat > labeled_graph_b_nat] :
( ( ! [SY988: nat] :
( ~ ( chain_b_nat @ SV689 )
| ( ( SV689 @ SY988 )
= ( restrict_b_nat @ ( SV689 @ SY988 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3657]) ).
thf(3753,plain,
! [SV690: set_nat] :
( ( ! [SY989: set_nat] :
( ~ ( ord_less_eq_set_nat @ SV690 @ SY989 )
| ~ ( finite_finite_nat @ SY989 )
| ( finite_finite_nat @ SV690 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3658]) ).
thf(3754,plain,
! [SV691: labeled_graph_b_nat] :
( ( ! [SY990: labeled_graph_b_nat,SY991: labeled_graph_b_nat] :
( ~ ( graph_529870330at_nat @ SV691 @ SY990 @ ( id_on_nat @ ( labele460410879_b_nat @ SV691 ) ) )
| ~ ( graph_529870330at_nat @ SY990 @ SY991 @ ( id_on_nat @ ( labele460410879_b_nat @ SY990 ) ) )
| ( graph_529870330at_nat @ SV691 @ SY991 @ ( id_on_nat @ ( labele460410879_b_nat @ SV691 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3659]) ).
thf(3755,plain,
! [SV692: produc1478835367term_b] :
( ( ~ ! [SY992: allegorical_term_b,SY993: allegorical_term_b] :
( SV692
!= ( produc1990145943term_b @ SY992 @ SY993 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3660]) ).
thf(3756,plain,
! [SV693: labeled_graph_b_nat] :
( ( ! [SY994: labeled_graph_b_nat,SY995: set_Pr1986765409at_nat] :
( ~ ( graph_529870330at_nat @ SV693 @ SY994 @ SY995 )
| ( extensible_b_nat_nat @ ( produc951298923_b_nat @ SV693 @ SV693 ) @ SY994 @ SY995 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3661]) ).
thf(3757,plain,
! [SV694: labeled_graph_b_nat > $o] :
( ( ! [SY996: labeled_graph_b_nat,SY997: labeled_graph_b_nat > $o,SY998: labeled_graph_b_nat] :
( ~ ( SV694 @ SY996 )
| ~ ( SY997 @ SY998 )
| ~ ( ~ ( SV694 @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ SY996 @ SY998 ) ) )
| ~ ( SY997 @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ SY996 @ SY998 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3662]) ).
thf(3758,plain,
! [SV695: produc1235635379_b_nat] :
( ( ! [SY999: labeled_graph_b_nat,SY1000: labeled_graph_b_nat] :
( ( SV695
!= ( produc951298923_b_nat @ SY999 @ SY1000 ) )
| ( ( produc1542243159_b_nat @ SV695 )
= SY999 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3663]) ).
thf(3759,plain,
! [SV696: set_Pr9961929at_nat] :
( ( ! [SY1001: set_Pr9961929at_nat] :
( ~ ( ord_le910748009at_nat @ SV696 @ SY1001 )
| ~ ~ ( finite1987068434at_nat @ SV696 )
| ~ ( finite1987068434at_nat @ SY1001 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3664]) ).
thf(3760,plain,
! [SV697: allegorical_term_b > allegorical_term_b > $o] :
( ( ! [SY1002: produc1478835367term_b] :
( ~ ( SV697 @ ( produc1223098053term_b @ SY1002 ) @ ( produc854192515term_b @ SY1002 ) )
| ~ ! [SY1003: allegorical_term_b,SY1004: allegorical_term_b] :
~ ( SV697 @ SY1004 @ SY1003 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3665]) ).
thf(3761,plain,
! [SV698: allegorical_term_b] :
( ( ! [SY1005: allegorical_term_b,SY1006: allegorical_term_b,SY1007: allegorical_term_b] :
( ( ( produc1990145943term_b @ SV698 @ SY1005 )
= ( produc1990145943term_b @ SY1006 @ SY1007 ) )
= ( ~ ( ( SV698 != SY1006 )
| ( SY1005 != SY1007 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3666]) ).
thf(3762,plain,
! [SV699: allegorical_term_b] :
( ( ! [SY1008: allegorical_term_b,SY1009: allegorical_term_b] :
( ( ( produc854192515term_b @ ( produc1990145943term_b @ SV699 @ SY1008 ) )
!= SY1009 )
| ( SV699 = SY1009 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3667]) ).
thf(3763,plain,
! [SV700: produc1235635379_b_nat > $o] :
( ( ! [SY1010: produc1235635379_b_nat] :
( ~ ! [SY1011: labeled_graph_b_nat,SY1012: labeled_graph_b_nat] : ( SV700 @ ( produc951298923_b_nat @ SY1011 @ SY1012 ) )
| ( SV700 @ SY1010 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3668]) ).
thf(3764,plain,
! [SV701: produc1478835367term_b] :
( ( ! [SY1013: allegorical_term_b,SY1014: allegorical_term_b] :
( ( SV701
!= ( produc1990145943term_b @ SY1013 @ SY1014 ) )
| ( ( produc854192515term_b @ SV701 )
= SY1013 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3669]) ).
thf(3765,plain,
! [SV702: allegorical_term_b] :
( ( ! [SY1015: produc1478835367term_b] :
( ( SV702
= ( produc854192515term_b @ SY1015 ) )
= ( ~ ! [SY1016: allegorical_term_b] :
( SY1015
!= ( produc1990145943term_b @ SV702 @ SY1016 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3670]) ).
thf(3766,plain,
! [SV613: labeled_graph_b_nat] :
( ( ~ ( ( graph_529870330at_nat @ SV613 @ SV613 @ ( id_on_nat @ ( labele460410879_b_nat @ SV613 ) ) )
| ( SV613
= ( restrict_b_nat @ SV613 ) ) )
| ~ ( ~ ( graph_529870330at_nat @ SV613 @ SV613 @ ( id_on_nat @ ( labele460410879_b_nat @ SV613 ) ) )
| ( SV613
!= ( restrict_b_nat @ SV613 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[3671]) ).
thf(3767,plain,
! [SV613: labeled_graph_b_nat] :
( ( ( graph_529870330at_nat @ SV613 @ SV613 @ ( id_on_nat @ ( labele460410879_b_nat @ SV613 ) ) )
= ( SV613
= ( restrict_b_nat @ SV613 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[3671]) ).
thf(3768,plain,
! [SV614: labeled_graph_b_nat] :
( ( ~ ( ( graph_529870330at_nat @ SV614 @ ( restrict_b_nat @ SV614 ) @ ( id_on_nat @ ( labele460410879_b_nat @ SV614 ) ) )
| ( SV614
= ( restrict_b_nat @ SV614 ) ) )
| ~ ( ~ ( graph_529870330at_nat @ SV614 @ ( restrict_b_nat @ SV614 ) @ ( id_on_nat @ ( labele460410879_b_nat @ SV614 ) ) )
| ( SV614
!= ( restrict_b_nat @ SV614 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[3672]) ).
thf(3769,plain,
! [SV614: labeled_graph_b_nat] :
( ( ( graph_529870330at_nat @ SV614 @ ( restrict_b_nat @ SV614 ) @ ( id_on_nat @ ( labele460410879_b_nat @ SV614 ) ) )
= ( SV614
= ( restrict_b_nat @ SV614 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[3672]) ).
thf(3770,plain,
! [SV703: allegorical_term_b] :
( ( ( translation_b @ SV703 )
= ( restrict_b_nat @ ( translation_b @ SV703 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3678]) ).
thf(3771,plain,
! [SV704: labeled_graph_b_nat,SV623: labeled_graph_b_nat] :
( ( ( produc1542243159_b_nat @ ( produc951298923_b_nat @ SV623 @ SV704 ) )
= SV623 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3682]) ).
thf(3772,plain,
! [SV705: allegorical_term_b,SV624: allegorical_term_b] :
( ( ( produc854192515term_b @ ( produc1990145943term_b @ SV624 @ SV705 ) )
= SV624 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3683]) ).
thf(3773,plain,
! [SV706: allegorical_term_b,SV625: allegorical_term_b] :
( ( ( produc1223098053term_b @ ( produc1990145943term_b @ SV625 @ SV706 ) )
= SV706 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3684]) ).
thf(3774,plain,
! [SV707: labeled_graph_b_nat,SV626: labeled_graph_b_nat] :
( ( ( produc194497945_b_nat @ ( produc951298923_b_nat @ SV626 @ SV707 ) )
= SV707 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3685]) ).
thf(3775,plain,
! [SV708: set_nat,SV633: set_Pr9961929at_nat] :
( ( ( labele460410879_b_nat @ ( labeled_LG_b_nat @ SV633 @ SV708 ) )
= SV708 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3692]) ).
thf(3776,plain,
! [SV709: set_nat,SV634: set_Pr9961929at_nat] :
( ( ( labeled_edges_b_nat @ ( labeled_LG_b_nat @ SV634 @ SV709 ) )
= SV634 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3693]) ).
thf(3777,plain,
! [SV710: produc1478835367term_b,SV638: allegorical_term_b] :
( ( ( SV638
= ( produc1223098053term_b @ SV710 ) )
= ( ~ ! [SY1017: allegorical_term_b] :
( SV710
!= ( produc1990145943term_b @ SY1017 @ SV638 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3698]) ).
thf(3778,plain,
! [SV711: produc1235635379_b_nat,SV639: produc1235635379_b_nat] :
( ( ( ( produc1542243159_b_nat @ SV639 )
!= ( produc1542243159_b_nat @ SV711 ) )
| ( ( produc194497945_b_nat @ SV639 )
!= ( produc194497945_b_nat @ SV711 ) )
| ( SV639 = SV711 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3699]) ).
thf(3779,plain,
! [SV712: allegorical_term_b,SV640: allegorical_term_b] :
( ( ! [SY1018: set_Pr1163220871term_b,SY1019: allegorical_term_b] :
( ~ ( member516522448term_b @ ( produc1990145943term_b @ SV640 @ SV712 ) @ SY1018 )
| ( SY1019 != SV712 )
| ( member516522448term_b @ ( produc1990145943term_b @ SV640 @ SY1019 ) @ SY1018 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3700]) ).
thf(3780,plain,
! [SV713: produc1478835367term_b,SV641: produc1478835367term_b > $o] :
( ( ~ ! [SY899: allegorical_term_b,SY900: allegorical_term_b] : ( SV641 @ ( produc1990145943term_b @ SY899 @ SY900 ) )
| ( SV641 @ SV713 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3701]) ).
thf(3781,plain,
! [SV714: labeled_graph_b_nat,SV642: labeled_graph_b_nat] :
( ( ! [SY1022: labeled_graph_b_nat,SY1023: labeled_graph_b_nat] :
( ( ( produc951298923_b_nat @ SV642 @ SV714 )
!= ( produc951298923_b_nat @ SY1022 @ SY1023 ) )
| ~ ( ( SV642 != SY1022 )
| ( SV714 != SY1023 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3702]) ).
thf(3782,plain,
! [SV715: allegorical_term_b,SV643: allegorical_term_b] :
( ( ! [SY1024: allegorical_term_b,SY1025: allegorical_term_b] :
( ( ( produc1990145943term_b @ SV643 @ SV715 )
!= ( produc1990145943term_b @ SY1024 @ SY1025 ) )
| ~ ( ( SV643 != SY1024 )
| ( SV715 != SY1025 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3703]) ).
thf(3783,plain,
! [SV716: produc1235635379_b_nat] :
( ( ( ^ [SY1026: produc1235635379_b_nat] : ( SV716 = SY1026 ) )
= ( ^ [SY1027: produc1235635379_b_nat] :
~ ( ( ( produc1542243159_b_nat @ SV716 )
!= ( produc1542243159_b_nat @ SY1027 ) )
| ( ( produc194497945_b_nat @ SV716 )
!= ( produc194497945_b_nat @ SY1027 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3704]) ).
thf(3784,plain,
! [SV717: labeled_graph_b_nat,SV645: labeled_graph_b_nat] :
( ( ! [SY1028: set_Pr1986765409at_nat,SY1029: labeled_graph_b_nat,SY1030: set_Pr1986765409at_nat] :
( ~ ( graph_529870330at_nat @ SV645 @ SV717 @ SY1028 )
| ~ ( graph_529870330at_nat @ SV717 @ SY1029 @ SY1030 )
| ( graph_529870330at_nat @ SV645 @ SY1029 @ ( relcomp_nat_nat_nat @ SY1028 @ SY1030 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3706]) ).
thf(3785,plain,
! [SV718: labeled_graph_b_nat,SV646: labeled_graph_b_nat] :
( ( ! [SY1031: labeled_graph_b_nat,SY1032: set_Pr1986765409at_nat] :
( ~ ( graph_529870330at_nat @ SV646 @ SV718 @ ( id_on_nat @ ( labele460410879_b_nat @ SV646 ) ) )
| ~ ( graph_529870330at_nat @ SY1031 @ SV646 @ SY1032 )
| ( graph_529870330at_nat @ SY1031 @ SV718 @ SY1032 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3707]) ).
thf(3786,plain,
! [SV647: b] :
( ( ~ ~ ( ~ ~ ( ~ ( graph_529870330at_nat @ ( produc1542243159_b_nat @ ( standa1360217389rule_b @ SV647 ) ) @ ( produc194497945_b_nat @ ( standa1360217389rule_b @ SV647 ) ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ ( standa1360217389rule_b @ SV647 ) ) ) ) )
| ( ( produc194497945_b_nat @ ( standa1360217389rule_b @ SV647 ) )
!= ( restrict_b_nat @ ( produc194497945_b_nat @ ( standa1360217389rule_b @ SV647 ) ) ) ) )
| ~ ( finite_finite_nat @ ( labele460410879_b_nat @ ( produc194497945_b_nat @ ( standa1360217389rule_b @ SV647 ) ) ) ) )
| ~ ( finite1987068434at_nat @ ( labeled_edges_b_nat @ ( produc194497945_b_nat @ ( standa1360217389rule_b @ SV647 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[3708]) ).
thf(3787,plain,
! [SV719: allegorical_term_b,SV648: allegorical_term_b] :
( ( ! [SY1033: allegorical_term_b,SY1034: allegorical_term_b] :
( ( ( allegorical_A_Int_b @ SV648 @ SV719 )
= ( allegorical_A_Int_b @ SY1033 @ SY1034 ) )
= ( ~ ( ( SV648 != SY1033 )
| ( SV719 != SY1034 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3709]) ).
thf(3788,plain,
! [SV720: allegorical_term_b,SV649: allegorical_term_b] :
( ( ! [SY1035: allegorical_term_b,SY1036: allegorical_term_b] :
( ( ( produc1990145943term_b @ SV649 @ SV720 )
= ( produc1990145943term_b @ SY1035 @ SY1036 ) )
= ( ~ ( ( SV649 != SY1035 )
| ( SV720 != SY1036 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3710]) ).
thf(3789,plain,
! [SV721: allegorical_term_b,SV650: allegorical_term_b > $o] :
( ( ! [SY1037: allegorical_term_b > $o,SY1038: allegorical_term_b] :
( ~ ( SV650 @ SV721 )
| ~ ( SY1037 @ SY1038 )
| ~ ( ~ ( SV650 @ ( produc854192515term_b @ ( produc1990145943term_b @ SV721 @ SY1038 ) ) )
| ~ ( SY1037 @ ( produc1223098053term_b @ ( produc1990145943term_b @ SV721 @ SY1038 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3711]) ).
thf(3790,plain,
! [SV651: b] :
( ( ~ ~ ( ~ ~ ( ~ ( graph_529870330at_nat @ ( produc1542243159_b_nat @ ( standa1329480013rule_b @ SV651 ) ) @ ( produc194497945_b_nat @ ( standa1329480013rule_b @ SV651 ) ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ ( standa1329480013rule_b @ SV651 ) ) ) ) )
| ( ( produc194497945_b_nat @ ( standa1329480013rule_b @ SV651 ) )
!= ( restrict_b_nat @ ( produc194497945_b_nat @ ( standa1329480013rule_b @ SV651 ) ) ) ) )
| ~ ( finite_finite_nat @ ( labele460410879_b_nat @ ( produc194497945_b_nat @ ( standa1329480013rule_b @ SV651 ) ) ) ) )
| ~ ( finite1987068434at_nat @ ( labeled_edges_b_nat @ ( produc194497945_b_nat @ ( standa1329480013rule_b @ SV651 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[3712]) ).
thf(3791,plain,
( ( ~ ~ ( ~ ~ ( ~ ( graph_529870330at_nat @ ( produc1542243159_b_nat @ standa879863266rule_b ) @ ( produc194497945_b_nat @ standa879863266rule_b ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ standa879863266rule_b ) ) ) )
| ( ( produc194497945_b_nat @ standa879863266rule_b )
!= ( restrict_b_nat @ ( produc194497945_b_nat @ standa879863266rule_b ) ) ) )
| ~ ( finite_finite_nat @ ( labele460410879_b_nat @ ( produc194497945_b_nat @ standa879863266rule_b ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[3713]) ).
thf(3792,plain,
( ( ~ ( finite1987068434at_nat @ ( labeled_edges_b_nat @ ( produc194497945_b_nat @ standa879863266rule_b ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[3713]) ).
thf(3793,plain,
! [SV722: allegorical_term_b,SV652: allegorical_term_b > allegorical_term_b > $o] :
( ( ! [SY1039: allegorical_term_b] :
( ~ ( SV652 @ SV722 @ SY1039 )
| ( SV652 @ ( produc1223098053term_b @ ( produc1990145943term_b @ SY1039 @ SV722 ) ) @ ( produc854192515term_b @ ( produc1990145943term_b @ SY1039 @ SV722 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3714]) ).
thf(3794,plain,
! [SV653: produc1478835367term_b] :
( ( ! [SY927: allegorical_term_b] :
~ ~ ! [SY928: allegorical_term_b] :
( SV653
!= ( produc1990145943term_b @ SY927 @ SY928 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[3715]) ).
thf(3795,plain,
! [SV723: produc1478835367term_b,SV654: produc1478835367term_b] :
( ( ~ ~ ( ( ( produc854192515term_b @ SV654 )
!= ( produc854192515term_b @ SV723 ) )
| ( ( produc1223098053term_b @ SV654 )
!= ( produc1223098053term_b @ SV723 ) ) )
| ( SV654 = SV723 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3716]) ).
thf(3796,plain,
! [SV724: set_Pr9961929at_nat,SV655: set_Pr9961929at_nat] :
( ( ~ ( ord_le910748009at_nat @ SV655 @ SV724 )
| ~ ( finite1987068434at_nat @ SV724 )
| ( finite1987068434at_nat @ SV655 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3717]) ).
thf(3797,plain,
! [SV725: labeled_graph_b_nat,SV656: labeled_graph_b_nat] :
( ( ! [SY1040: labeled_graph_b_nat] :
( ( ( produc194497945_b_nat @ ( produc951298923_b_nat @ SV656 @ SV725 ) )
!= SY1040 )
| ( SV725 = SY1040 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3718]) ).
thf(3798,plain,
! [SV726: labeled_graph_b_nat,SV657: labeled_graph_b_nat] :
( ( ~ ~ ( ( ( labeled_edges_b_nat @ SV657 )
!= ( labeled_edges_b_nat @ SV726 ) )
| ( ( labele460410879_b_nat @ SV657 )
!= ( labele460410879_b_nat @ SV726 ) ) )
| ( SV657 = SV726 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3719]) ).
thf(3799,plain,
! [SV727: labeled_graph_b_nat,SV658: labeled_graph_b_nat] :
( ( ~ ( graph_529870330at_nat @ SV658 @ SV727 @ ( id_on_nat @ ( labele460410879_b_nat @ SV658 ) ) )
| ( ord_less_eq_set_nat @ ( labele460410879_b_nat @ SV658 ) @ ( labele460410879_b_nat @ SV727 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3720]) ).
thf(3800,plain,
! [SV728: set_nat,SV659: set_nat] :
( ( ~ ( ord_less_eq_set_nat @ SV659 @ SV728 )
| ~ ~ ( finite_finite_nat @ SV659 )
| ~ ( finite_finite_nat @ SV728 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3721]) ).
thf(3801,plain,
! [SV729: labeled_graph_b_nat,SV660: labeled_graph_b_nat > labeled_graph_b_nat > $o] :
( ( ! [SY1041: labeled_graph_b_nat,SY1042: produc1235635379_b_nat] :
( ~ ( SV660 @ SV729 @ SY1041 )
| ( SY1042
!= ( produc951298923_b_nat @ SV729 @ SY1041 ) )
| ( SV660 @ ( produc1542243159_b_nat @ SY1042 ) @ ( produc194497945_b_nat @ SY1042 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3722]) ).
thf(3802,plain,
! [SV730: produc1478835367term_b] :
( ( ( ^ [SY1043: produc1478835367term_b] : ( SV730 = SY1043 ) )
= ( ^ [SY1044: produc1478835367term_b] :
~ ( ( ( produc854192515term_b @ SV730 )
!= ( produc854192515term_b @ SY1044 ) )
| ( ( produc1223098053term_b @ SV730 )
!= ( produc1223098053term_b @ SY1044 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3723]) ).
thf(3803,plain,
! [SV731: labeled_graph_b_nat,SV662: labeled_graph_b_nat] :
( ( ! [SY1045: labeled_graph_b_nat,SY1046: labeled_graph_b_nat] :
( ( ( produc951298923_b_nat @ SV662 @ SV731 )
= ( produc951298923_b_nat @ SY1045 @ SY1046 ) )
= ( ~ ( ( SV662 != SY1045 )
| ( SV731 != SY1046 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3725]) ).
thf(3804,plain,
! [SV732: allegorical_term_b,SV663: produc1478835367term_b] :
( ( ! [SY1047: allegorical_term_b] :
( ( SV663
!= ( produc1990145943term_b @ SV732 @ SY1047 ) )
| ( ( produc1223098053term_b @ SV663 )
= SY1047 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3726]) ).
thf(3805,plain,
! [SV664: set_nat] :
( ( ( ~ ~ ( finite_finite_nat @ SV664 ) )
= $true )
| ( ( SV664 != bot_bot_set_nat )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3727]) ).
thf(3806,plain,
! [SV733: produc1235635379_b_nat,SV665: labeled_graph_b_nat] :
( ( ( SV665
= ( produc194497945_b_nat @ SV733 ) )
= ( ~ ! [SY1048: labeled_graph_b_nat] :
( SV733
!= ( produc951298923_b_nat @ SY1048 @ SV665 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3728]) ).
thf(3807,plain,
! [SV734: produc1478835367term_b,SV666: produc1478835367term_b] :
( ( ( ( produc854192515term_b @ SV666 )
!= ( produc854192515term_b @ SV734 ) )
| ( ( produc1223098053term_b @ SV666 )
!= ( produc1223098053term_b @ SV734 ) )
| ( SV666 = SV734 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3729]) ).
thf(3808,plain,
! [SV735: allegorical_term_b,SV667: allegorical_term_b] :
( ( ~ ( ~ ~ ( ~ ~ ( ~ ( graph_529870330at_nat @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV667 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV667 @ SV735 ) ) ) ) @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV667 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV667 @ SV735 ) ) ) ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV667 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV667 @ SV735 ) ) ) ) ) ) )
| ( ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV667 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV667 @ SV735 ) ) ) )
!= ( restrict_b_nat @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV667 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV667 @ SV735 ) ) ) ) ) ) )
| ~ ( finite_finite_nat @ ( labele460410879_b_nat @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV667 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV667 @ SV735 ) ) ) ) ) ) )
| ~ ( finite1987068434at_nat @ ( labeled_edges_b_nat @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV667 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV667 @ SV735 ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3730]) ).
thf(3809,plain,
! [SV736: allegorical_term_b,SV668: allegorical_term_b] :
( ( ! [SY1049: allegorical_term_b] :
( ( ( produc1223098053term_b @ ( produc1990145943term_b @ SV668 @ SV736 ) )
!= SY1049 )
| ( SV736 = SY1049 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3731]) ).
thf(3810,plain,
! [SV737: produc1235635379_b_nat,SV669: labeled_graph_b_nat] :
( ( ( SV669
= ( produc1542243159_b_nat @ SV737 ) )
= ( ~ ! [SY1050: labeled_graph_b_nat] :
( SV737
!= ( produc951298923_b_nat @ SV669 @ SY1050 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3732]) ).
thf(3811,plain,
! [SV738: produc1235635379_b_nat,SV670: produc1235635379_b_nat > $o] :
( ( ~ ! [SY955: labeled_graph_b_nat,SY956: labeled_graph_b_nat] : ( SV670 @ ( produc951298923_b_nat @ SY955 @ SY956 ) )
| ( SV670 @ SV738 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3733]) ).
thf(3812,plain,
! [SV739: labeled_graph_b_nat,SV671: labeled_graph_b_nat] :
( ( ( graph_529870330at_nat @ SV671 @ SV739 @ ( id_on_nat @ ( labele460410879_b_nat @ SV671 ) ) )
= ( ~ ( ~ ~ ( ( SV671
!= ( restrict_b_nat @ SV671 ) )
| ( SV739
!= ( restrict_b_nat @ SV739 ) ) )
| ( ( graph_union_b_nat @ SV671 @ SV739 )
!= SV739 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3734]) ).
thf(3813,plain,
! [SV672: set_Pr9961929at_nat] :
( ( ( ~ ~ ( finite1987068434at_nat @ SV672 ) )
= $true )
| ( ( SV672 != bot_bo1626616373at_nat )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3735]) ).
thf(3814,plain,
! [SV740: produc1235635379_b_nat,SV673: labeled_graph_b_nat > labeled_graph_b_nat > $o] :
( ( ~ ( SV673 @ ( produc194497945_b_nat @ SV740 ) @ ( produc1542243159_b_nat @ SV740 ) )
| ~ ! [SY959: labeled_graph_b_nat,SY960: labeled_graph_b_nat] :
~ ( SV673 @ SY960 @ SY959 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3736]) ).
thf(3815,plain,
! [SV741: labeled_graph_b_nat,SV674: labeled_graph_b_nat] :
( ( ( SV674
!= ( restrict_b_nat @ SV674 ) )
| ( SV741
!= ( restrict_b_nat @ SV741 ) )
| ( ( graph_union_b_nat @ SV674 @ SV741 )
= ( restrict_b_nat @ ( graph_union_b_nat @ SV674 @ SV741 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3737]) ).
thf(3816,plain,
! [SV742: labeled_graph_b_nat,SV675: labeled_graph_b_nat > labeled_graph_b_nat > $o] :
( ( ! [SY1055: labeled_graph_b_nat] :
( ~ ( SV675 @ SV742 @ SY1055 )
| ( SV675 @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ SY1055 @ SV742 ) ) @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ SY1055 @ SV742 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3738]) ).
thf(3817,plain,
! [SV676: produc1235635379_b_nat] :
( ( ! [SY964: labeled_graph_b_nat,SY965: labeled_graph_b_nat] :
( SV676
!= ( produc951298923_b_nat @ SY964 @ SY965 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[3739]) ).
thf(3818,plain,
! [SV743: labeled_graph_b_nat,SV677: labeled_graph_b_nat] :
( ( ~ ( graph_529870330at_nat @ SV677 @ SV743 @ ( id_on_nat @ ( labele460410879_b_nat @ SV677 ) ) )
| ( ord_le910748009at_nat @ ( labeled_edges_b_nat @ ( restrict_b_nat @ SV677 ) ) @ ( labeled_edges_b_nat @ SV743 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3740]) ).
thf(3819,plain,
! [SV744: labeled_graph_b_nat,SV678: labeled_graph_b_nat] :
( ( ! [SY1056: labeled_graph_b_nat,SY1057: labeled_graph_b_nat] :
( ( ( produc951298923_b_nat @ SV678 @ SV744 )
= ( produc951298923_b_nat @ SY1056 @ SY1057 ) )
= ( ~ ( ( SV678 != SY1056 )
| ( SV744 != SY1057 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3741]) ).
thf(3820,plain,
! [SV745: allegorical_term_b,SV679: allegorical_term_b > allegorical_term_b > $o] :
( ( ! [SY1058: allegorical_term_b,SY1059: produc1478835367term_b] :
( ~ ( SV679 @ SV745 @ SY1058 )
| ( SY1059
!= ( produc1990145943term_b @ SV745 @ SY1058 ) )
| ( SV679 @ ( produc854192515term_b @ SY1059 ) @ ( produc1223098053term_b @ SY1059 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3742]) ).
thf(3821,plain,
! [SV680: labeled_graph_b_nat] :
( ( ( ~ ( ord_le910748009at_nat @ ( labeled_edges_b_nat @ SV680 ) @ ( labeled_edges_b_nat @ ( restrict_b_nat @ SV680 ) ) ) )
= $true )
| ( ( SV680
= ( restrict_b_nat @ SV680 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3743]) ).
thf(3822,plain,
! [SV746: labeled_graph_b_nat,SV681: produc1235635379_b_nat] :
( ( ! [SY1060: labeled_graph_b_nat] :
( ( SV681
!= ( produc951298923_b_nat @ SV746 @ SY1060 ) )
| ( ( produc194497945_b_nat @ SV681 )
= SY1060 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3744]) ).
thf(3823,plain,
! [SV747: labeled_graph_b_nat,SV682: labeled_graph_b_nat] :
( ( ! [SY1061: labeled_graph_b_nat] :
( ( ( produc1542243159_b_nat @ ( produc951298923_b_nat @ SV682 @ SV747 ) )
!= SY1061 )
| ( SV682 = SY1061 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3745]) ).
thf(3824,plain,
! [SV683: produc1235635379_b_nat] :
( ( ! [SY977: labeled_graph_b_nat] :
~ ~ ! [SY978: labeled_graph_b_nat] :
( SV683
!= ( produc951298923_b_nat @ SY977 @ SY978 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[3746]) ).
thf(3825,plain,
! [SV748: set_nat,SV684: set_nat] :
( ( ~ ( finite_finite_nat @ SV684 )
| ~ ( ord_less_eq_set_nat @ SV748 @ SV684 )
| ( finite_finite_nat @ SV748 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3747]) ).
thf(3826,plain,
! [SV749: produc1235635379_b_nat,SV685: produc1235635379_b_nat] :
( ( ~ ~ ( ( ( produc1542243159_b_nat @ SV685 )
!= ( produc1542243159_b_nat @ SV749 ) )
| ( ( produc194497945_b_nat @ SV685 )
!= ( produc194497945_b_nat @ SV749 ) ) )
| ( SV685 = SV749 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3748]) ).
thf(3827,plain,
! [SV750: labeled_graph_b_nat,SV686: labeled_graph_b_nat] :
( ( ! [SY1062: set_Pr551076371_b_nat,SY1063: labeled_graph_b_nat] :
( ~ ( member963855452_b_nat @ ( produc951298923_b_nat @ SV686 @ SV750 ) @ SY1062 )
| ( SY1063 != SV750 )
| ( member963855452_b_nat @ ( produc951298923_b_nat @ SV686 @ SY1063 ) @ SY1062 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3749]) ).
thf(3828,plain,
! [SV751: produc1478835367term_b,SV687: produc1478835367term_b > $o] :
( ( ~ ! [SY985: allegorical_term_b,SY986: allegorical_term_b] : ( SV687 @ ( produc1990145943term_b @ SY985 @ SY986 ) )
| ( SV687 @ SV751 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3750]) ).
thf(3829,plain,
! [SV752: set_Pr9961929at_nat,SV688: set_Pr9961929at_nat] :
( ( ~ ( finite1987068434at_nat @ SV688 )
| ~ ( ord_le910748009at_nat @ SV752 @ SV688 )
| ( finite1987068434at_nat @ SV752 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3751]) ).
thf(3830,plain,
! [SV753: nat,SV689: nat > labeled_graph_b_nat] :
( ( ~ ( chain_b_nat @ SV689 )
| ( ( SV689 @ SV753 )
= ( restrict_b_nat @ ( SV689 @ SV753 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3752]) ).
thf(3831,plain,
! [SV754: set_nat,SV690: set_nat] :
( ( ~ ( ord_less_eq_set_nat @ SV690 @ SV754 )
| ~ ( finite_finite_nat @ SV754 )
| ( finite_finite_nat @ SV690 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3753]) ).
thf(3832,plain,
! [SV755: labeled_graph_b_nat,SV691: labeled_graph_b_nat] :
( ( ! [SY1066: labeled_graph_b_nat] :
( ~ ( graph_529870330at_nat @ SV691 @ SV755 @ ( id_on_nat @ ( labele460410879_b_nat @ SV691 ) ) )
| ~ ( graph_529870330at_nat @ SV755 @ SY1066 @ ( id_on_nat @ ( labele460410879_b_nat @ SV755 ) ) )
| ( graph_529870330at_nat @ SV691 @ SY1066 @ ( id_on_nat @ ( labele460410879_b_nat @ SV691 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3754]) ).
thf(3833,plain,
! [SV692: produc1478835367term_b] :
( ( ! [SY992: allegorical_term_b,SY993: allegorical_term_b] :
( SV692
!= ( produc1990145943term_b @ SY992 @ SY993 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[3755]) ).
thf(3834,plain,
! [SV756: labeled_graph_b_nat,SV693: labeled_graph_b_nat] :
( ( ! [SY1067: set_Pr1986765409at_nat] :
( ~ ( graph_529870330at_nat @ SV693 @ SV756 @ SY1067 )
| ( extensible_b_nat_nat @ ( produc951298923_b_nat @ SV693 @ SV693 ) @ SV756 @ SY1067 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3756]) ).
thf(3835,plain,
! [SV757: labeled_graph_b_nat,SV694: labeled_graph_b_nat > $o] :
( ( ! [SY1068: labeled_graph_b_nat > $o,SY1069: labeled_graph_b_nat] :
( ~ ( SV694 @ SV757 )
| ~ ( SY1068 @ SY1069 )
| ~ ( ~ ( SV694 @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ SV757 @ SY1069 ) ) )
| ~ ( SY1068 @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ SV757 @ SY1069 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3757]) ).
thf(3836,plain,
! [SV758: labeled_graph_b_nat,SV695: produc1235635379_b_nat] :
( ( ! [SY1070: labeled_graph_b_nat] :
( ( SV695
!= ( produc951298923_b_nat @ SV758 @ SY1070 ) )
| ( ( produc1542243159_b_nat @ SV695 )
= SV758 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3758]) ).
thf(3837,plain,
! [SV759: set_Pr9961929at_nat,SV696: set_Pr9961929at_nat] :
( ( ~ ( ord_le910748009at_nat @ SV696 @ SV759 )
| ~ ~ ( finite1987068434at_nat @ SV696 )
| ~ ( finite1987068434at_nat @ SV759 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3759]) ).
thf(3838,plain,
! [SV760: produc1478835367term_b,SV697: allegorical_term_b > allegorical_term_b > $o] :
( ( ~ ( SV697 @ ( produc1223098053term_b @ SV760 ) @ ( produc854192515term_b @ SV760 ) )
| ~ ! [SY1003: allegorical_term_b,SY1004: allegorical_term_b] :
~ ( SV697 @ SY1004 @ SY1003 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3760]) ).
thf(3839,plain,
! [SV761: allegorical_term_b,SV698: allegorical_term_b] :
( ( ! [SY1073: allegorical_term_b,SY1074: allegorical_term_b] :
( ( ( produc1990145943term_b @ SV698 @ SV761 )
= ( produc1990145943term_b @ SY1073 @ SY1074 ) )
= ( ~ ( ( SV698 != SY1073 )
| ( SV761 != SY1074 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3761]) ).
thf(3840,plain,
! [SV762: allegorical_term_b,SV699: allegorical_term_b] :
( ( ! [SY1075: allegorical_term_b] :
( ( ( produc854192515term_b @ ( produc1990145943term_b @ SV699 @ SV762 ) )
!= SY1075 )
| ( SV699 = SY1075 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3762]) ).
thf(3841,plain,
! [SV763: produc1235635379_b_nat,SV700: produc1235635379_b_nat > $o] :
( ( ~ ! [SY1011: labeled_graph_b_nat,SY1012: labeled_graph_b_nat] : ( SV700 @ ( produc951298923_b_nat @ SY1011 @ SY1012 ) )
| ( SV700 @ SV763 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3763]) ).
thf(3842,plain,
! [SV764: allegorical_term_b,SV701: produc1478835367term_b] :
( ( ! [SY1078: allegorical_term_b] :
( ( SV701
!= ( produc1990145943term_b @ SV764 @ SY1078 ) )
| ( ( produc854192515term_b @ SV701 )
= SV764 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3764]) ).
thf(3843,plain,
! [SV765: produc1478835367term_b,SV702: allegorical_term_b] :
( ( ( SV702
= ( produc854192515term_b @ SV765 ) )
= ( ~ ! [SY1079: allegorical_term_b] :
( SV765
!= ( produc1990145943term_b @ SV702 @ SY1079 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3765]) ).
thf(3844,plain,
! [SV613: labeled_graph_b_nat] :
( ( ( ~ ( ( graph_529870330at_nat @ SV613 @ SV613 @ ( id_on_nat @ ( labele460410879_b_nat @ SV613 ) ) )
| ( SV613
= ( restrict_b_nat @ SV613 ) ) ) )
= $true )
| ( ( ~ ( ~ ( graph_529870330at_nat @ SV613 @ SV613 @ ( id_on_nat @ ( labele460410879_b_nat @ SV613 ) ) )
| ( SV613
!= ( restrict_b_nat @ SV613 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3766]) ).
thf(3845,plain,
! [SV614: labeled_graph_b_nat] :
( ( ( ~ ( ( graph_529870330at_nat @ SV614 @ ( restrict_b_nat @ SV614 ) @ ( id_on_nat @ ( labele460410879_b_nat @ SV614 ) ) )
| ( SV614
= ( restrict_b_nat @ SV614 ) ) ) )
= $true )
| ( ( ~ ( ~ ( graph_529870330at_nat @ SV614 @ ( restrict_b_nat @ SV614 ) @ ( id_on_nat @ ( labele460410879_b_nat @ SV614 ) ) )
| ( SV614
!= ( restrict_b_nat @ SV614 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3768]) ).
thf(3846,plain,
! [SV710: produc1478835367term_b,SV638: allegorical_term_b] :
( ( ~ ( ( SV638
= ( produc1223098053term_b @ SV710 ) )
| ~ ! [SY1017: allegorical_term_b] :
( SV710
!= ( produc1990145943term_b @ SY1017 @ SV638 ) ) )
| ~ ( ( SV638
!= ( produc1223098053term_b @ SV710 ) )
| ~ ~ ! [SY1017: allegorical_term_b] :
( SV710
!= ( produc1990145943term_b @ SY1017 @ SV638 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[3777]) ).
thf(3847,plain,
! [SV710: produc1478835367term_b,SV638: allegorical_term_b] :
( ( ( SV638
= ( produc1223098053term_b @ SV710 ) )
= ( ~ ! [SY1017: allegorical_term_b] :
( SV710
!= ( produc1990145943term_b @ SY1017 @ SV638 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[3777]) ).
thf(3848,plain,
! [SV711: produc1235635379_b_nat,SV639: produc1235635379_b_nat] :
( ( ( ( produc1542243159_b_nat @ SV639 )
!= ( produc1542243159_b_nat @ SV711 ) )
= $true )
| ( ( ( ( produc194497945_b_nat @ SV639 )
!= ( produc194497945_b_nat @ SV711 ) )
| ( SV639 = SV711 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3778]) ).
thf(3849,plain,
! [SV766: set_Pr1163220871term_b,SV712: allegorical_term_b,SV640: allegorical_term_b] :
( ( ! [SY1080: allegorical_term_b] :
( ~ ( member516522448term_b @ ( produc1990145943term_b @ SV640 @ SV712 ) @ SV766 )
| ( SY1080 != SV712 )
| ( member516522448term_b @ ( produc1990145943term_b @ SV640 @ SY1080 ) @ SV766 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3779]) ).
thf(3850,plain,
! [SV713: produc1478835367term_b,SV641: produc1478835367term_b > $o] :
( ( ( ~ ! [SY899: allegorical_term_b,SY900: allegorical_term_b] : ( SV641 @ ( produc1990145943term_b @ SY899 @ SY900 ) ) )
= $true )
| ( ( SV641 @ SV713 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3780]) ).
thf(3851,plain,
! [SV767: labeled_graph_b_nat,SV714: labeled_graph_b_nat,SV642: labeled_graph_b_nat] :
( ( ! [SY1081: labeled_graph_b_nat] :
( ( ( produc951298923_b_nat @ SV642 @ SV714 )
!= ( produc951298923_b_nat @ SV767 @ SY1081 ) )
| ~ ( ( SV642 != SV767 )
| ( SV714 != SY1081 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3781]) ).
thf(3852,plain,
! [SV768: allegorical_term_b,SV715: allegorical_term_b,SV643: allegorical_term_b] :
( ( ! [SY1082: allegorical_term_b] :
( ( ( produc1990145943term_b @ SV643 @ SV715 )
!= ( produc1990145943term_b @ SV768 @ SY1082 ) )
| ~ ( ( SV643 != SV768 )
| ( SV715 != SY1082 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3782]) ).
thf(3853,plain,
! [SV716: produc1235635379_b_nat] :
( ( ! [SV769: produc1235635379_b_nat] :
( ( SV716 = SV769 )
= ( ~ ( ( ( produc1542243159_b_nat @ SV716 )
!= ( produc1542243159_b_nat @ SV769 ) )
| ( ( produc194497945_b_nat @ SV716 )
!= ( produc194497945_b_nat @ SV769 ) ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[3783]) ).
thf(3854,plain,
! [SV716: produc1235635379_b_nat] :
( ( ( ^ [SY1026: produc1235635379_b_nat] : ( SV716 = SY1026 ) )
= ( ^ [SY1027: produc1235635379_b_nat] :
~ ( ( ( produc1542243159_b_nat @ SV716 )
!= ( produc1542243159_b_nat @ SY1027 ) )
| ( ( produc194497945_b_nat @ SV716 )
!= ( produc194497945_b_nat @ SY1027 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[3783]) ).
thf(3855,plain,
! [SV770: set_Pr1986765409at_nat,SV717: labeled_graph_b_nat,SV645: labeled_graph_b_nat] :
( ( ! [SY1083: labeled_graph_b_nat,SY1084: set_Pr1986765409at_nat] :
( ~ ( graph_529870330at_nat @ SV645 @ SV717 @ SV770 )
| ~ ( graph_529870330at_nat @ SV717 @ SY1083 @ SY1084 )
| ( graph_529870330at_nat @ SV645 @ SY1083 @ ( relcomp_nat_nat_nat @ SV770 @ SY1084 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3784]) ).
thf(3856,plain,
! [SV771: labeled_graph_b_nat,SV718: labeled_graph_b_nat,SV646: labeled_graph_b_nat] :
( ( ! [SY1085: set_Pr1986765409at_nat] :
( ~ ( graph_529870330at_nat @ SV646 @ SV718 @ ( id_on_nat @ ( labele460410879_b_nat @ SV646 ) ) )
| ~ ( graph_529870330at_nat @ SV771 @ SV646 @ SY1085 )
| ( graph_529870330at_nat @ SV771 @ SV718 @ SY1085 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3785]) ).
thf(3857,plain,
! [SV647: b] :
( ( ~ ~ ( ~ ~ ( ~ ( graph_529870330at_nat @ ( produc1542243159_b_nat @ ( standa1360217389rule_b @ SV647 ) ) @ ( produc194497945_b_nat @ ( standa1360217389rule_b @ SV647 ) ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ ( standa1360217389rule_b @ SV647 ) ) ) ) )
| ( ( produc194497945_b_nat @ ( standa1360217389rule_b @ SV647 ) )
!= ( restrict_b_nat @ ( produc194497945_b_nat @ ( standa1360217389rule_b @ SV647 ) ) ) ) )
| ~ ( finite_finite_nat @ ( labele460410879_b_nat @ ( produc194497945_b_nat @ ( standa1360217389rule_b @ SV647 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[3786]) ).
thf(3858,plain,
! [SV647: b] :
( ( ~ ( finite1987068434at_nat @ ( labeled_edges_b_nat @ ( produc194497945_b_nat @ ( standa1360217389rule_b @ SV647 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[3786]) ).
thf(3859,plain,
! [SV772: allegorical_term_b,SV719: allegorical_term_b,SV648: allegorical_term_b] :
( ( ! [SY1086: allegorical_term_b] :
( ( ( allegorical_A_Int_b @ SV648 @ SV719 )
= ( allegorical_A_Int_b @ SV772 @ SY1086 ) )
= ( ~ ( ( SV648 != SV772 )
| ( SV719 != SY1086 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3787]) ).
thf(3860,plain,
! [SV773: allegorical_term_b,SV720: allegorical_term_b,SV649: allegorical_term_b] :
( ( ! [SY1087: allegorical_term_b] :
( ( ( produc1990145943term_b @ SV649 @ SV720 )
= ( produc1990145943term_b @ SV773 @ SY1087 ) )
= ( ~ ( ( SV649 != SV773 )
| ( SV720 != SY1087 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3788]) ).
thf(3861,plain,
! [SV774: allegorical_term_b > $o,SV721: allegorical_term_b,SV650: allegorical_term_b > $o] :
( ( ! [SY1088: allegorical_term_b] :
( ~ ( SV650 @ SV721 )
| ~ ( SV774 @ SY1088 )
| ~ ( ~ ( SV650 @ ( produc854192515term_b @ ( produc1990145943term_b @ SV721 @ SY1088 ) ) )
| ~ ( SV774 @ ( produc1223098053term_b @ ( produc1990145943term_b @ SV721 @ SY1088 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3789]) ).
thf(3862,plain,
! [SV651: b] :
( ( ~ ~ ( ~ ~ ( ~ ( graph_529870330at_nat @ ( produc1542243159_b_nat @ ( standa1329480013rule_b @ SV651 ) ) @ ( produc194497945_b_nat @ ( standa1329480013rule_b @ SV651 ) ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ ( standa1329480013rule_b @ SV651 ) ) ) ) )
| ( ( produc194497945_b_nat @ ( standa1329480013rule_b @ SV651 ) )
!= ( restrict_b_nat @ ( produc194497945_b_nat @ ( standa1329480013rule_b @ SV651 ) ) ) ) )
| ~ ( finite_finite_nat @ ( labele460410879_b_nat @ ( produc194497945_b_nat @ ( standa1329480013rule_b @ SV651 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[3790]) ).
thf(3863,plain,
! [SV651: b] :
( ( ~ ( finite1987068434at_nat @ ( labeled_edges_b_nat @ ( produc194497945_b_nat @ ( standa1329480013rule_b @ SV651 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[3790]) ).
thf(3864,plain,
( ( ~ ( ~ ~ ( ~ ( graph_529870330at_nat @ ( produc1542243159_b_nat @ standa879863266rule_b ) @ ( produc194497945_b_nat @ standa879863266rule_b ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ standa879863266rule_b ) ) ) )
| ( ( produc194497945_b_nat @ standa879863266rule_b )
!= ( restrict_b_nat @ ( produc194497945_b_nat @ standa879863266rule_b ) ) ) )
| ~ ( finite_finite_nat @ ( labele460410879_b_nat @ ( produc194497945_b_nat @ standa879863266rule_b ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[3791]) ).
thf(3865,plain,
( ( finite1987068434at_nat @ ( labeled_edges_b_nat @ ( produc194497945_b_nat @ standa879863266rule_b ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[3792]) ).
thf(3866,plain,
! [SV775: allegorical_term_b,SV722: allegorical_term_b,SV652: allegorical_term_b > allegorical_term_b > $o] :
( ( ~ ( SV652 @ SV722 @ SV775 )
| ( SV652 @ ( produc1223098053term_b @ ( produc1990145943term_b @ SV775 @ SV722 ) ) @ ( produc854192515term_b @ ( produc1990145943term_b @ SV775 @ SV722 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3793]) ).
thf(3867,plain,
! [SV653: produc1478835367term_b] :
( ( ~ ~ ! [SY1089: allegorical_term_b] :
( SV653
!= ( produc1990145943term_b @ ( sK85_SY927 @ SV653 ) @ SY1089 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[3794]) ).
thf(3868,plain,
! [SV723: produc1478835367term_b,SV654: produc1478835367term_b] :
( ( ( ~ ~ ( ( ( produc854192515term_b @ SV654 )
!= ( produc854192515term_b @ SV723 ) )
| ( ( produc1223098053term_b @ SV654 )
!= ( produc1223098053term_b @ SV723 ) ) ) )
= $true )
| ( ( SV654 = SV723 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3795]) ).
thf(3869,plain,
! [SV724: set_Pr9961929at_nat,SV655: set_Pr9961929at_nat] :
( ( ( ~ ( ord_le910748009at_nat @ SV655 @ SV724 ) )
= $true )
| ( ( ~ ( finite1987068434at_nat @ SV724 )
| ( finite1987068434at_nat @ SV655 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3796]) ).
thf(3870,plain,
! [SV776: labeled_graph_b_nat,SV725: labeled_graph_b_nat,SV656: labeled_graph_b_nat] :
( ( ( ( produc194497945_b_nat @ ( produc951298923_b_nat @ SV656 @ SV725 ) )
!= SV776 )
| ( SV725 = SV776 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3797]) ).
thf(3871,plain,
! [SV726: labeled_graph_b_nat,SV657: labeled_graph_b_nat] :
( ( ( ~ ~ ( ( ( labeled_edges_b_nat @ SV657 )
!= ( labeled_edges_b_nat @ SV726 ) )
| ( ( labele460410879_b_nat @ SV657 )
!= ( labele460410879_b_nat @ SV726 ) ) ) )
= $true )
| ( ( SV657 = SV726 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3798]) ).
thf(3872,plain,
! [SV727: labeled_graph_b_nat,SV658: labeled_graph_b_nat] :
( ( ( ~ ( graph_529870330at_nat @ SV658 @ SV727 @ ( id_on_nat @ ( labele460410879_b_nat @ SV658 ) ) ) )
= $true )
| ( ( ord_less_eq_set_nat @ ( labele460410879_b_nat @ SV658 ) @ ( labele460410879_b_nat @ SV727 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3799]) ).
thf(3873,plain,
! [SV728: set_nat,SV659: set_nat] :
( ( ( ~ ( ord_less_eq_set_nat @ SV659 @ SV728 ) )
= $true )
| ( ( ~ ~ ( finite_finite_nat @ SV659 )
| ~ ( finite_finite_nat @ SV728 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3800]) ).
thf(3874,plain,
! [SV777: labeled_graph_b_nat,SV729: labeled_graph_b_nat,SV660: labeled_graph_b_nat > labeled_graph_b_nat > $o] :
( ( ! [SY1090: produc1235635379_b_nat] :
( ~ ( SV660 @ SV729 @ SV777 )
| ( SY1090
!= ( produc951298923_b_nat @ SV729 @ SV777 ) )
| ( SV660 @ ( produc1542243159_b_nat @ SY1090 ) @ ( produc194497945_b_nat @ SY1090 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3801]) ).
thf(3875,plain,
! [SV730: produc1478835367term_b] :
( ( ! [SV778: produc1478835367term_b] :
( ( SV730 = SV778 )
= ( ~ ( ( ( produc854192515term_b @ SV730 )
!= ( produc854192515term_b @ SV778 ) )
| ( ( produc1223098053term_b @ SV730 )
!= ( produc1223098053term_b @ SV778 ) ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[3802]) ).
thf(3876,plain,
! [SV730: produc1478835367term_b] :
( ( ( ^ [SY1043: produc1478835367term_b] : ( SV730 = SY1043 ) )
= ( ^ [SY1044: produc1478835367term_b] :
~ ( ( ( produc854192515term_b @ SV730 )
!= ( produc854192515term_b @ SY1044 ) )
| ( ( produc1223098053term_b @ SV730 )
!= ( produc1223098053term_b @ SY1044 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[3802]) ).
thf(3877,plain,
! [SV779: labeled_graph_b_nat,SV731: labeled_graph_b_nat,SV662: labeled_graph_b_nat] :
( ( ! [SY1091: labeled_graph_b_nat] :
( ( ( produc951298923_b_nat @ SV662 @ SV731 )
= ( produc951298923_b_nat @ SV779 @ SY1091 ) )
= ( ~ ( ( SV662 != SV779 )
| ( SV731 != SY1091 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3803]) ).
thf(3878,plain,
! [SV780: allegorical_term_b,SV732: allegorical_term_b,SV663: produc1478835367term_b] :
( ( ( SV663
!= ( produc1990145943term_b @ SV732 @ SV780 ) )
| ( ( produc1223098053term_b @ SV663 )
= SV780 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3804]) ).
thf(3879,plain,
! [SV664: set_nat] :
( ( ( ~ ( finite_finite_nat @ SV664 ) )
= $false )
| ( ( SV664 != bot_bot_set_nat )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3805]) ).
thf(3880,plain,
! [SV733: produc1235635379_b_nat,SV665: labeled_graph_b_nat] :
( ( ~ ( ( SV665
= ( produc194497945_b_nat @ SV733 ) )
| ~ ! [SY1048: labeled_graph_b_nat] :
( SV733
!= ( produc951298923_b_nat @ SY1048 @ SV665 ) ) )
| ~ ( ( SV665
!= ( produc194497945_b_nat @ SV733 ) )
| ~ ~ ! [SY1048: labeled_graph_b_nat] :
( SV733
!= ( produc951298923_b_nat @ SY1048 @ SV665 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[3806]) ).
thf(3881,plain,
! [SV733: produc1235635379_b_nat,SV665: labeled_graph_b_nat] :
( ( ( SV665
= ( produc194497945_b_nat @ SV733 ) )
= ( ~ ! [SY1048: labeled_graph_b_nat] :
( SV733
!= ( produc951298923_b_nat @ SY1048 @ SV665 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[3806]) ).
thf(3882,plain,
! [SV734: produc1478835367term_b,SV666: produc1478835367term_b] :
( ( ( ( produc854192515term_b @ SV666 )
!= ( produc854192515term_b @ SV734 ) )
= $true )
| ( ( ( ( produc1223098053term_b @ SV666 )
!= ( produc1223098053term_b @ SV734 ) )
| ( SV666 = SV734 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3807]) ).
thf(3883,plain,
! [SV735: allegorical_term_b,SV667: allegorical_term_b] :
( ( ~ ~ ( ~ ~ ( ~ ( graph_529870330at_nat @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV667 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV667 @ SV735 ) ) ) ) @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV667 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV667 @ SV735 ) ) ) ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV667 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV667 @ SV735 ) ) ) ) ) ) )
| ( ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV667 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV667 @ SV735 ) ) ) )
!= ( restrict_b_nat @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV667 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV667 @ SV735 ) ) ) ) ) ) )
| ~ ( finite_finite_nat @ ( labele460410879_b_nat @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV667 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV667 @ SV735 ) ) ) ) ) ) )
| ~ ( finite1987068434at_nat @ ( labeled_edges_b_nat @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV667 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV667 @ SV735 ) ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[3808]) ).
thf(3884,plain,
! [SV781: allegorical_term_b,SV736: allegorical_term_b,SV668: allegorical_term_b] :
( ( ( ( produc1223098053term_b @ ( produc1990145943term_b @ SV668 @ SV736 ) )
!= SV781 )
| ( SV736 = SV781 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3809]) ).
thf(3885,plain,
! [SV737: produc1235635379_b_nat,SV669: labeled_graph_b_nat] :
( ( ~ ( ( SV669
= ( produc1542243159_b_nat @ SV737 ) )
| ~ ! [SY1050: labeled_graph_b_nat] :
( SV737
!= ( produc951298923_b_nat @ SV669 @ SY1050 ) ) )
| ~ ( ( SV669
!= ( produc1542243159_b_nat @ SV737 ) )
| ~ ~ ! [SY1050: labeled_graph_b_nat] :
( SV737
!= ( produc951298923_b_nat @ SV669 @ SY1050 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[3810]) ).
thf(3886,plain,
! [SV737: produc1235635379_b_nat,SV669: labeled_graph_b_nat] :
( ( ( SV669
= ( produc1542243159_b_nat @ SV737 ) )
= ( ~ ! [SY1050: labeled_graph_b_nat] :
( SV737
!= ( produc951298923_b_nat @ SV669 @ SY1050 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[3810]) ).
thf(3887,plain,
! [SV738: produc1235635379_b_nat,SV670: produc1235635379_b_nat > $o] :
( ( ( ~ ! [SY955: labeled_graph_b_nat,SY956: labeled_graph_b_nat] : ( SV670 @ ( produc951298923_b_nat @ SY955 @ SY956 ) ) )
= $true )
| ( ( SV670 @ SV738 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3811]) ).
thf(3888,plain,
! [SV739: labeled_graph_b_nat,SV671: labeled_graph_b_nat] :
( ( ~ ( ( graph_529870330at_nat @ SV671 @ SV739 @ ( id_on_nat @ ( labele460410879_b_nat @ SV671 ) ) )
| ~ ( ~ ~ ( ( SV671
!= ( restrict_b_nat @ SV671 ) )
| ( SV739
!= ( restrict_b_nat @ SV739 ) ) )
| ( ( graph_union_b_nat @ SV671 @ SV739 )
!= SV739 ) ) )
| ~ ( ~ ( graph_529870330at_nat @ SV671 @ SV739 @ ( id_on_nat @ ( labele460410879_b_nat @ SV671 ) ) )
| ~ ~ ( ~ ~ ( ( SV671
!= ( restrict_b_nat @ SV671 ) )
| ( SV739
!= ( restrict_b_nat @ SV739 ) ) )
| ( ( graph_union_b_nat @ SV671 @ SV739 )
!= SV739 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[3812]) ).
thf(3889,plain,
! [SV739: labeled_graph_b_nat,SV671: labeled_graph_b_nat] :
( ( ( graph_529870330at_nat @ SV671 @ SV739 @ ( id_on_nat @ ( labele460410879_b_nat @ SV671 ) ) )
= ( ~ ( ~ ~ ( ( SV671
!= ( restrict_b_nat @ SV671 ) )
| ( SV739
!= ( restrict_b_nat @ SV739 ) ) )
| ( ( graph_union_b_nat @ SV671 @ SV739 )
!= SV739 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[3812]) ).
thf(3890,plain,
! [SV672: set_Pr9961929at_nat] :
( ( ( ~ ( finite1987068434at_nat @ SV672 ) )
= $false )
| ( ( SV672 != bot_bo1626616373at_nat )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3813]) ).
thf(3891,plain,
! [SV740: produc1235635379_b_nat,SV673: labeled_graph_b_nat > labeled_graph_b_nat > $o] :
( ( ( ~ ( SV673 @ ( produc194497945_b_nat @ SV740 ) @ ( produc1542243159_b_nat @ SV740 ) ) )
= $true )
| ( ( ~ ! [SY959: labeled_graph_b_nat,SY960: labeled_graph_b_nat] :
~ ( SV673 @ SY960 @ SY959 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3814]) ).
thf(3892,plain,
! [SV741: labeled_graph_b_nat,SV674: labeled_graph_b_nat] :
( ( ( SV674
!= ( restrict_b_nat @ SV674 ) )
= $true )
| ( ( ( SV741
!= ( restrict_b_nat @ SV741 ) )
| ( ( graph_union_b_nat @ SV674 @ SV741 )
= ( restrict_b_nat @ ( graph_union_b_nat @ SV674 @ SV741 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3815]) ).
thf(3893,plain,
! [SV782: labeled_graph_b_nat,SV742: labeled_graph_b_nat,SV675: labeled_graph_b_nat > labeled_graph_b_nat > $o] :
( ( ~ ( SV675 @ SV742 @ SV782 )
| ( SV675 @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ SV782 @ SV742 ) ) @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ SV782 @ SV742 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3816]) ).
thf(3894,plain,
! [SV676: produc1235635379_b_nat] :
( ( ! [SY1092: labeled_graph_b_nat] :
( SV676
!= ( produc951298923_b_nat @ ( sK86_SY964 @ SV676 ) @ SY1092 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[3817]) ).
thf(3895,plain,
! [SV743: labeled_graph_b_nat,SV677: labeled_graph_b_nat] :
( ( ( ~ ( graph_529870330at_nat @ SV677 @ SV743 @ ( id_on_nat @ ( labele460410879_b_nat @ SV677 ) ) ) )
= $true )
| ( ( ord_le910748009at_nat @ ( labeled_edges_b_nat @ ( restrict_b_nat @ SV677 ) ) @ ( labeled_edges_b_nat @ SV743 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3818]) ).
thf(3896,plain,
! [SV783: labeled_graph_b_nat,SV744: labeled_graph_b_nat,SV678: labeled_graph_b_nat] :
( ( ! [SY1093: labeled_graph_b_nat] :
( ( ( produc951298923_b_nat @ SV678 @ SV744 )
= ( produc951298923_b_nat @ SV783 @ SY1093 ) )
= ( ~ ( ( SV678 != SV783 )
| ( SV744 != SY1093 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3819]) ).
thf(3897,plain,
! [SV784: allegorical_term_b,SV745: allegorical_term_b,SV679: allegorical_term_b > allegorical_term_b > $o] :
( ( ! [SY1094: produc1478835367term_b] :
( ~ ( SV679 @ SV745 @ SV784 )
| ( SY1094
!= ( produc1990145943term_b @ SV745 @ SV784 ) )
| ( SV679 @ ( produc854192515term_b @ SY1094 ) @ ( produc1223098053term_b @ SY1094 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3820]) ).
thf(3898,plain,
! [SV680: labeled_graph_b_nat] :
( ( ( ord_le910748009at_nat @ ( labeled_edges_b_nat @ SV680 ) @ ( labeled_edges_b_nat @ ( restrict_b_nat @ SV680 ) ) )
= $false )
| ( ( SV680
= ( restrict_b_nat @ SV680 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3821]) ).
thf(3899,plain,
! [SV785: labeled_graph_b_nat,SV746: labeled_graph_b_nat,SV681: produc1235635379_b_nat] :
( ( ( SV681
!= ( produc951298923_b_nat @ SV746 @ SV785 ) )
| ( ( produc194497945_b_nat @ SV681 )
= SV785 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3822]) ).
thf(3900,plain,
! [SV786: labeled_graph_b_nat,SV747: labeled_graph_b_nat,SV682: labeled_graph_b_nat] :
( ( ( ( produc1542243159_b_nat @ ( produc951298923_b_nat @ SV682 @ SV747 ) )
!= SV786 )
| ( SV682 = SV786 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3823]) ).
thf(3901,plain,
! [SV683: produc1235635379_b_nat] :
( ( ~ ~ ! [SY1095: labeled_graph_b_nat] :
( SV683
!= ( produc951298923_b_nat @ ( sK87_SY977 @ SV683 ) @ SY1095 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[3824]) ).
thf(3902,plain,
! [SV748: set_nat,SV684: set_nat] :
( ( ( ~ ( finite_finite_nat @ SV684 ) )
= $true )
| ( ( ~ ( ord_less_eq_set_nat @ SV748 @ SV684 )
| ( finite_finite_nat @ SV748 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3825]) ).
thf(3903,plain,
! [SV749: produc1235635379_b_nat,SV685: produc1235635379_b_nat] :
( ( ( ~ ~ ( ( ( produc1542243159_b_nat @ SV685 )
!= ( produc1542243159_b_nat @ SV749 ) )
| ( ( produc194497945_b_nat @ SV685 )
!= ( produc194497945_b_nat @ SV749 ) ) ) )
= $true )
| ( ( SV685 = SV749 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3826]) ).
thf(3904,plain,
! [SV787: set_Pr551076371_b_nat,SV750: labeled_graph_b_nat,SV686: labeled_graph_b_nat] :
( ( ! [SY1096: labeled_graph_b_nat] :
( ~ ( member963855452_b_nat @ ( produc951298923_b_nat @ SV686 @ SV750 ) @ SV787 )
| ( SY1096 != SV750 )
| ( member963855452_b_nat @ ( produc951298923_b_nat @ SV686 @ SY1096 ) @ SV787 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3827]) ).
thf(3905,plain,
! [SV751: produc1478835367term_b,SV687: produc1478835367term_b > $o] :
( ( ( ~ ! [SY985: allegorical_term_b,SY986: allegorical_term_b] : ( SV687 @ ( produc1990145943term_b @ SY985 @ SY986 ) ) )
= $true )
| ( ( SV687 @ SV751 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3828]) ).
thf(3906,plain,
! [SV752: set_Pr9961929at_nat,SV688: set_Pr9961929at_nat] :
( ( ( ~ ( finite1987068434at_nat @ SV688 ) )
= $true )
| ( ( ~ ( ord_le910748009at_nat @ SV752 @ SV688 )
| ( finite1987068434at_nat @ SV752 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3829]) ).
thf(3907,plain,
! [SV753: nat,SV689: nat > labeled_graph_b_nat] :
( ( ( ~ ( chain_b_nat @ SV689 ) )
= $true )
| ( ( ( SV689 @ SV753 )
= ( restrict_b_nat @ ( SV689 @ SV753 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3830]) ).
thf(3908,plain,
! [SV754: set_nat,SV690: set_nat] :
( ( ( ~ ( ord_less_eq_set_nat @ SV690 @ SV754 ) )
= $true )
| ( ( ~ ( finite_finite_nat @ SV754 )
| ( finite_finite_nat @ SV690 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3831]) ).
thf(3909,plain,
! [SV788: labeled_graph_b_nat,SV755: labeled_graph_b_nat,SV691: labeled_graph_b_nat] :
( ( ~ ( graph_529870330at_nat @ SV691 @ SV755 @ ( id_on_nat @ ( labele460410879_b_nat @ SV691 ) ) )
| ~ ( graph_529870330at_nat @ SV755 @ SV788 @ ( id_on_nat @ ( labele460410879_b_nat @ SV755 ) ) )
| ( graph_529870330at_nat @ SV691 @ SV788 @ ( id_on_nat @ ( labele460410879_b_nat @ SV691 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3832]) ).
thf(3910,plain,
! [SV692: produc1478835367term_b] :
( ( ! [SY1097: allegorical_term_b] :
( SV692
!= ( produc1990145943term_b @ ( sK88_SY992 @ SV692 ) @ SY1097 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[3833]) ).
thf(3911,plain,
! [SV789: set_Pr1986765409at_nat,SV756: labeled_graph_b_nat,SV693: labeled_graph_b_nat] :
( ( ~ ( graph_529870330at_nat @ SV693 @ SV756 @ SV789 )
| ( extensible_b_nat_nat @ ( produc951298923_b_nat @ SV693 @ SV693 ) @ SV756 @ SV789 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3834]) ).
thf(3912,plain,
! [SV790: labeled_graph_b_nat > $o,SV757: labeled_graph_b_nat,SV694: labeled_graph_b_nat > $o] :
( ( ! [SY1098: labeled_graph_b_nat] :
( ~ ( SV694 @ SV757 )
| ~ ( SV790 @ SY1098 )
| ~ ( ~ ( SV694 @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ SV757 @ SY1098 ) ) )
| ~ ( SV790 @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ SV757 @ SY1098 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3835]) ).
thf(3913,plain,
! [SV791: labeled_graph_b_nat,SV758: labeled_graph_b_nat,SV695: produc1235635379_b_nat] :
( ( ( SV695
!= ( produc951298923_b_nat @ SV758 @ SV791 ) )
| ( ( produc1542243159_b_nat @ SV695 )
= SV758 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3836]) ).
thf(3914,plain,
! [SV759: set_Pr9961929at_nat,SV696: set_Pr9961929at_nat] :
( ( ( ~ ( ord_le910748009at_nat @ SV696 @ SV759 ) )
= $true )
| ( ( ~ ~ ( finite1987068434at_nat @ SV696 )
| ~ ( finite1987068434at_nat @ SV759 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3837]) ).
thf(3915,plain,
! [SV760: produc1478835367term_b,SV697: allegorical_term_b > allegorical_term_b > $o] :
( ( ( ~ ( SV697 @ ( produc1223098053term_b @ SV760 ) @ ( produc854192515term_b @ SV760 ) ) )
= $true )
| ( ( ~ ! [SY1003: allegorical_term_b,SY1004: allegorical_term_b] :
~ ( SV697 @ SY1004 @ SY1003 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3838]) ).
thf(3916,plain,
! [SV792: allegorical_term_b,SV761: allegorical_term_b,SV698: allegorical_term_b] :
( ( ! [SY1099: allegorical_term_b] :
( ( ( produc1990145943term_b @ SV698 @ SV761 )
= ( produc1990145943term_b @ SV792 @ SY1099 ) )
= ( ~ ( ( SV698 != SV792 )
| ( SV761 != SY1099 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3839]) ).
thf(3917,plain,
! [SV793: allegorical_term_b,SV762: allegorical_term_b,SV699: allegorical_term_b] :
( ( ( ( produc854192515term_b @ ( produc1990145943term_b @ SV699 @ SV762 ) )
!= SV793 )
| ( SV699 = SV793 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3840]) ).
thf(3918,plain,
! [SV763: produc1235635379_b_nat,SV700: produc1235635379_b_nat > $o] :
( ( ( ~ ! [SY1011: labeled_graph_b_nat,SY1012: labeled_graph_b_nat] : ( SV700 @ ( produc951298923_b_nat @ SY1011 @ SY1012 ) ) )
= $true )
| ( ( SV700 @ SV763 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3841]) ).
thf(3919,plain,
! [SV794: allegorical_term_b,SV764: allegorical_term_b,SV701: produc1478835367term_b] :
( ( ( SV701
!= ( produc1990145943term_b @ SV764 @ SV794 ) )
| ( ( produc854192515term_b @ SV701 )
= SV764 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3842]) ).
thf(3920,plain,
! [SV765: produc1478835367term_b,SV702: allegorical_term_b] :
( ( ~ ( ( SV702
= ( produc854192515term_b @ SV765 ) )
| ~ ! [SY1079: allegorical_term_b] :
( SV765
!= ( produc1990145943term_b @ SV702 @ SY1079 ) ) )
| ~ ( ( SV702
!= ( produc854192515term_b @ SV765 ) )
| ~ ~ ! [SY1079: allegorical_term_b] :
( SV765
!= ( produc1990145943term_b @ SV702 @ SY1079 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[3843]) ).
thf(3921,plain,
! [SV765: produc1478835367term_b,SV702: allegorical_term_b] :
( ( ( SV702
= ( produc854192515term_b @ SV765 ) )
= ( ~ ! [SY1079: allegorical_term_b] :
( SV765
!= ( produc1990145943term_b @ SV702 @ SY1079 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[3843]) ).
thf(3922,plain,
! [SV613: labeled_graph_b_nat] :
( ( ( ( graph_529870330at_nat @ SV613 @ SV613 @ ( id_on_nat @ ( labele460410879_b_nat @ SV613 ) ) )
| ( SV613
= ( restrict_b_nat @ SV613 ) ) )
= $false )
| ( ( ~ ( ~ ( graph_529870330at_nat @ SV613 @ SV613 @ ( id_on_nat @ ( labele460410879_b_nat @ SV613 ) ) )
| ( SV613
!= ( restrict_b_nat @ SV613 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3844]) ).
thf(3923,plain,
! [SV614: labeled_graph_b_nat] :
( ( ( ( graph_529870330at_nat @ SV614 @ ( restrict_b_nat @ SV614 ) @ ( id_on_nat @ ( labele460410879_b_nat @ SV614 ) ) )
| ( SV614
= ( restrict_b_nat @ SV614 ) ) )
= $false )
| ( ( ~ ( ~ ( graph_529870330at_nat @ SV614 @ ( restrict_b_nat @ SV614 ) @ ( id_on_nat @ ( labele460410879_b_nat @ SV614 ) ) )
| ( SV614
!= ( restrict_b_nat @ SV614 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3845]) ).
thf(3924,plain,
! [SV710: produc1478835367term_b,SV638: allegorical_term_b] :
( ( ( ~ ( ( SV638
= ( produc1223098053term_b @ SV710 ) )
| ~ ! [SY1017: allegorical_term_b] :
( SV710
!= ( produc1990145943term_b @ SY1017 @ SV638 ) ) ) )
= $true )
| ( ( ~ ( ( SV638
!= ( produc1223098053term_b @ SV710 ) )
| ~ ~ ! [SY1017: allegorical_term_b] :
( SV710
!= ( produc1990145943term_b @ SY1017 @ SV638 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3846]) ).
thf(3925,plain,
! [SV711: produc1235635379_b_nat,SV639: produc1235635379_b_nat] :
( ( ( ( produc1542243159_b_nat @ SV639 )
= ( produc1542243159_b_nat @ SV711 ) )
= $false )
| ( ( ( ( produc194497945_b_nat @ SV639 )
!= ( produc194497945_b_nat @ SV711 ) )
| ( SV639 = SV711 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3848]) ).
thf(3926,plain,
! [SV795: allegorical_term_b,SV766: set_Pr1163220871term_b,SV712: allegorical_term_b,SV640: allegorical_term_b] :
( ( ~ ( member516522448term_b @ ( produc1990145943term_b @ SV640 @ SV712 ) @ SV766 )
| ( SV795 != SV712 )
| ( member516522448term_b @ ( produc1990145943term_b @ SV640 @ SV795 ) @ SV766 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3849]) ).
thf(3927,plain,
! [SV713: produc1478835367term_b,SV641: produc1478835367term_b > $o] :
( ( ( ! [SY899: allegorical_term_b,SY900: allegorical_term_b] : ( SV641 @ ( produc1990145943term_b @ SY899 @ SY900 ) ) )
= $false )
| ( ( SV641 @ SV713 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3850]) ).
thf(3928,plain,
! [SV796: labeled_graph_b_nat,SV767: labeled_graph_b_nat,SV714: labeled_graph_b_nat,SV642: labeled_graph_b_nat] :
( ( ( ( produc951298923_b_nat @ SV642 @ SV714 )
!= ( produc951298923_b_nat @ SV767 @ SV796 ) )
| ~ ( ( SV642 != SV767 )
| ( SV714 != SV796 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3851]) ).
thf(3929,plain,
! [SV797: allegorical_term_b,SV768: allegorical_term_b,SV715: allegorical_term_b,SV643: allegorical_term_b] :
( ( ( ( produc1990145943term_b @ SV643 @ SV715 )
!= ( produc1990145943term_b @ SV768 @ SV797 ) )
| ~ ( ( SV643 != SV768 )
| ( SV715 != SV797 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3852]) ).
thf(3930,plain,
! [SV798: produc1235635379_b_nat,SV716: produc1235635379_b_nat] :
( ( ( SV716 = SV798 )
= ( ~ ( ( ( produc1542243159_b_nat @ SV716 )
!= ( produc1542243159_b_nat @ SV798 ) )
| ( ( produc194497945_b_nat @ SV716 )
!= ( produc194497945_b_nat @ SV798 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3853]) ).
thf(3931,plain,
! [SV799: labeled_graph_b_nat,SV770: set_Pr1986765409at_nat,SV717: labeled_graph_b_nat,SV645: labeled_graph_b_nat] :
( ( ! [SY1100: set_Pr1986765409at_nat] :
( ~ ( graph_529870330at_nat @ SV645 @ SV717 @ SV770 )
| ~ ( graph_529870330at_nat @ SV717 @ SV799 @ SY1100 )
| ( graph_529870330at_nat @ SV645 @ SV799 @ ( relcomp_nat_nat_nat @ SV770 @ SY1100 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3855]) ).
thf(3932,plain,
! [SV800: set_Pr1986765409at_nat,SV771: labeled_graph_b_nat,SV718: labeled_graph_b_nat,SV646: labeled_graph_b_nat] :
( ( ~ ( graph_529870330at_nat @ SV646 @ SV718 @ ( id_on_nat @ ( labele460410879_b_nat @ SV646 ) ) )
| ~ ( graph_529870330at_nat @ SV771 @ SV646 @ SV800 )
| ( graph_529870330at_nat @ SV771 @ SV718 @ SV800 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3856]) ).
thf(3933,plain,
! [SV647: b] :
( ( ~ ( ~ ~ ( ~ ( graph_529870330at_nat @ ( produc1542243159_b_nat @ ( standa1360217389rule_b @ SV647 ) ) @ ( produc194497945_b_nat @ ( standa1360217389rule_b @ SV647 ) ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ ( standa1360217389rule_b @ SV647 ) ) ) ) )
| ( ( produc194497945_b_nat @ ( standa1360217389rule_b @ SV647 ) )
!= ( restrict_b_nat @ ( produc194497945_b_nat @ ( standa1360217389rule_b @ SV647 ) ) ) ) )
| ~ ( finite_finite_nat @ ( labele460410879_b_nat @ ( produc194497945_b_nat @ ( standa1360217389rule_b @ SV647 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[3857]) ).
thf(3934,plain,
! [SV647: b] :
( ( finite1987068434at_nat @ ( labeled_edges_b_nat @ ( produc194497945_b_nat @ ( standa1360217389rule_b @ SV647 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[3858]) ).
thf(3935,plain,
! [SV801: allegorical_term_b,SV772: allegorical_term_b,SV719: allegorical_term_b,SV648: allegorical_term_b] :
( ( ( ( allegorical_A_Int_b @ SV648 @ SV719 )
= ( allegorical_A_Int_b @ SV772 @ SV801 ) )
= ( ~ ( ( SV648 != SV772 )
| ( SV719 != SV801 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3859]) ).
thf(3936,plain,
! [SV802: allegorical_term_b,SV773: allegorical_term_b,SV720: allegorical_term_b,SV649: allegorical_term_b] :
( ( ( ( produc1990145943term_b @ SV649 @ SV720 )
= ( produc1990145943term_b @ SV773 @ SV802 ) )
= ( ~ ( ( SV649 != SV773 )
| ( SV720 != SV802 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3860]) ).
thf(3937,plain,
! [SV803: allegorical_term_b,SV774: allegorical_term_b > $o,SV721: allegorical_term_b,SV650: allegorical_term_b > $o] :
( ( ~ ( SV650 @ SV721 )
| ~ ( SV774 @ SV803 )
| ~ ( ~ ( SV650 @ ( produc854192515term_b @ ( produc1990145943term_b @ SV721 @ SV803 ) ) )
| ~ ( SV774 @ ( produc1223098053term_b @ ( produc1990145943term_b @ SV721 @ SV803 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3861]) ).
thf(3938,plain,
! [SV651: b] :
( ( ~ ( ~ ~ ( ~ ( graph_529870330at_nat @ ( produc1542243159_b_nat @ ( standa1329480013rule_b @ SV651 ) ) @ ( produc194497945_b_nat @ ( standa1329480013rule_b @ SV651 ) ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ ( standa1329480013rule_b @ SV651 ) ) ) ) )
| ( ( produc194497945_b_nat @ ( standa1329480013rule_b @ SV651 ) )
!= ( restrict_b_nat @ ( produc194497945_b_nat @ ( standa1329480013rule_b @ SV651 ) ) ) ) )
| ~ ( finite_finite_nat @ ( labele460410879_b_nat @ ( produc194497945_b_nat @ ( standa1329480013rule_b @ SV651 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[3862]) ).
thf(3939,plain,
! [SV651: b] :
( ( finite1987068434at_nat @ ( labeled_edges_b_nat @ ( produc194497945_b_nat @ ( standa1329480013rule_b @ SV651 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[3863]) ).
thf(3940,plain,
( ( ~ ~ ( ~ ( graph_529870330at_nat @ ( produc1542243159_b_nat @ standa879863266rule_b ) @ ( produc194497945_b_nat @ standa879863266rule_b ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ standa879863266rule_b ) ) ) )
| ( ( produc194497945_b_nat @ standa879863266rule_b )
!= ( restrict_b_nat @ ( produc194497945_b_nat @ standa879863266rule_b ) ) ) )
| ~ ( finite_finite_nat @ ( labele460410879_b_nat @ ( produc194497945_b_nat @ standa879863266rule_b ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[3864]) ).
thf(3941,plain,
! [SV775: allegorical_term_b,SV722: allegorical_term_b,SV652: allegorical_term_b > allegorical_term_b > $o] :
( ( ( ~ ( SV652 @ SV722 @ SV775 ) )
= $true )
| ( ( SV652 @ ( produc1223098053term_b @ ( produc1990145943term_b @ SV775 @ SV722 ) ) @ ( produc854192515term_b @ ( produc1990145943term_b @ SV775 @ SV722 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3866]) ).
thf(3942,plain,
! [SV653: produc1478835367term_b] :
( ( ~ ! [SY1089: allegorical_term_b] :
( SV653
!= ( produc1990145943term_b @ ( sK85_SY927 @ SV653 ) @ SY1089 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[3867]) ).
thf(3943,plain,
! [SV723: produc1478835367term_b,SV654: produc1478835367term_b] :
( ( ( ~ ( ( ( produc854192515term_b @ SV654 )
!= ( produc854192515term_b @ SV723 ) )
| ( ( produc1223098053term_b @ SV654 )
!= ( produc1223098053term_b @ SV723 ) ) ) )
= $false )
| ( ( SV654 = SV723 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3868]) ).
thf(3944,plain,
! [SV724: set_Pr9961929at_nat,SV655: set_Pr9961929at_nat] :
( ( ( ord_le910748009at_nat @ SV655 @ SV724 )
= $false )
| ( ( ~ ( finite1987068434at_nat @ SV724 )
| ( finite1987068434at_nat @ SV655 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3869]) ).
thf(3945,plain,
! [SV776: labeled_graph_b_nat,SV725: labeled_graph_b_nat,SV656: labeled_graph_b_nat] :
( ( ( ( produc194497945_b_nat @ ( produc951298923_b_nat @ SV656 @ SV725 ) )
!= SV776 )
= $true )
| ( ( SV725 = SV776 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3870]) ).
thf(3946,plain,
! [SV726: labeled_graph_b_nat,SV657: labeled_graph_b_nat] :
( ( ( ~ ( ( ( labeled_edges_b_nat @ SV657 )
!= ( labeled_edges_b_nat @ SV726 ) )
| ( ( labele460410879_b_nat @ SV657 )
!= ( labele460410879_b_nat @ SV726 ) ) ) )
= $false )
| ( ( SV657 = SV726 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3871]) ).
thf(3947,plain,
! [SV727: labeled_graph_b_nat,SV658: labeled_graph_b_nat] :
( ( ( graph_529870330at_nat @ SV658 @ SV727 @ ( id_on_nat @ ( labele460410879_b_nat @ SV658 ) ) )
= $false )
| ( ( ord_less_eq_set_nat @ ( labele460410879_b_nat @ SV658 ) @ ( labele460410879_b_nat @ SV727 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3872]) ).
thf(3948,plain,
! [SV728: set_nat,SV659: set_nat] :
( ( ( ord_less_eq_set_nat @ SV659 @ SV728 )
= $false )
| ( ( ~ ~ ( finite_finite_nat @ SV659 )
| ~ ( finite_finite_nat @ SV728 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3873]) ).
thf(3949,plain,
! [SV804: produc1235635379_b_nat,SV777: labeled_graph_b_nat,SV729: labeled_graph_b_nat,SV660: labeled_graph_b_nat > labeled_graph_b_nat > $o] :
( ( ~ ( SV660 @ SV729 @ SV777 )
| ( SV804
!= ( produc951298923_b_nat @ SV729 @ SV777 ) )
| ( SV660 @ ( produc1542243159_b_nat @ SV804 ) @ ( produc194497945_b_nat @ SV804 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3874]) ).
thf(3950,plain,
! [SV805: produc1478835367term_b,SV730: produc1478835367term_b] :
( ( ( SV730 = SV805 )
= ( ~ ( ( ( produc854192515term_b @ SV730 )
!= ( produc854192515term_b @ SV805 ) )
| ( ( produc1223098053term_b @ SV730 )
!= ( produc1223098053term_b @ SV805 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3875]) ).
thf(3951,plain,
! [SV806: labeled_graph_b_nat,SV779: labeled_graph_b_nat,SV731: labeled_graph_b_nat,SV662: labeled_graph_b_nat] :
( ( ( ( produc951298923_b_nat @ SV662 @ SV731 )
= ( produc951298923_b_nat @ SV779 @ SV806 ) )
= ( ~ ( ( SV662 != SV779 )
| ( SV731 != SV806 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3877]) ).
thf(3952,plain,
! [SV780: allegorical_term_b,SV732: allegorical_term_b,SV663: produc1478835367term_b] :
( ( ( SV663
!= ( produc1990145943term_b @ SV732 @ SV780 ) )
= $true )
| ( ( ( produc1223098053term_b @ SV663 )
= SV780 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3878]) ).
thf(3953,plain,
! [SV664: set_nat] :
( ( ( finite_finite_nat @ SV664 )
= $true )
| ( ( SV664 != bot_bot_set_nat )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3879]) ).
thf(3954,plain,
! [SV733: produc1235635379_b_nat,SV665: labeled_graph_b_nat] :
( ( ( ~ ( ( SV665
= ( produc194497945_b_nat @ SV733 ) )
| ~ ! [SY1048: labeled_graph_b_nat] :
( SV733
!= ( produc951298923_b_nat @ SY1048 @ SV665 ) ) ) )
= $true )
| ( ( ~ ( ( SV665
!= ( produc194497945_b_nat @ SV733 ) )
| ~ ~ ! [SY1048: labeled_graph_b_nat] :
( SV733
!= ( produc951298923_b_nat @ SY1048 @ SV665 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3880]) ).
thf(3955,plain,
! [SV734: produc1478835367term_b,SV666: produc1478835367term_b] :
( ( ( ( produc854192515term_b @ SV666 )
= ( produc854192515term_b @ SV734 ) )
= $false )
| ( ( ( ( produc1223098053term_b @ SV666 )
!= ( produc1223098053term_b @ SV734 ) )
| ( SV666 = SV734 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3882]) ).
thf(3956,plain,
! [SV735: allegorical_term_b,SV667: allegorical_term_b] :
( ( ~ ~ ( ~ ~ ( ~ ( graph_529870330at_nat @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV667 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV667 @ SV735 ) ) ) ) @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV667 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV667 @ SV735 ) ) ) ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV667 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV667 @ SV735 ) ) ) ) ) ) )
| ( ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV667 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV667 @ SV735 ) ) ) )
!= ( restrict_b_nat @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV667 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV667 @ SV735 ) ) ) ) ) ) )
| ~ ( finite_finite_nat @ ( labele460410879_b_nat @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV667 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV667 @ SV735 ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[3883]) ).
thf(3957,plain,
! [SV735: allegorical_term_b,SV667: allegorical_term_b] :
( ( ~ ( finite1987068434at_nat @ ( labeled_edges_b_nat @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV667 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV667 @ SV735 ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[3883]) ).
thf(3958,plain,
! [SV781: allegorical_term_b,SV736: allegorical_term_b,SV668: allegorical_term_b] :
( ( ( ( produc1223098053term_b @ ( produc1990145943term_b @ SV668 @ SV736 ) )
!= SV781 )
= $true )
| ( ( SV736 = SV781 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3884]) ).
thf(3959,plain,
! [SV737: produc1235635379_b_nat,SV669: labeled_graph_b_nat] :
( ( ( ~ ( ( SV669
= ( produc1542243159_b_nat @ SV737 ) )
| ~ ! [SY1050: labeled_graph_b_nat] :
( SV737
!= ( produc951298923_b_nat @ SV669 @ SY1050 ) ) ) )
= $true )
| ( ( ~ ( ( SV669
!= ( produc1542243159_b_nat @ SV737 ) )
| ~ ~ ! [SY1050: labeled_graph_b_nat] :
( SV737
!= ( produc951298923_b_nat @ SV669 @ SY1050 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3885]) ).
thf(3960,plain,
! [SV738: produc1235635379_b_nat,SV670: produc1235635379_b_nat > $o] :
( ( ( ! [SY955: labeled_graph_b_nat,SY956: labeled_graph_b_nat] : ( SV670 @ ( produc951298923_b_nat @ SY955 @ SY956 ) ) )
= $false )
| ( ( SV670 @ SV738 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3887]) ).
thf(3961,plain,
! [SV739: labeled_graph_b_nat,SV671: labeled_graph_b_nat] :
( ( ( ~ ( ( graph_529870330at_nat @ SV671 @ SV739 @ ( id_on_nat @ ( labele460410879_b_nat @ SV671 ) ) )
| ~ ( ~ ~ ( ( SV671
!= ( restrict_b_nat @ SV671 ) )
| ( SV739
!= ( restrict_b_nat @ SV739 ) ) )
| ( ( graph_union_b_nat @ SV671 @ SV739 )
!= SV739 ) ) ) )
= $true )
| ( ( ~ ( ~ ( graph_529870330at_nat @ SV671 @ SV739 @ ( id_on_nat @ ( labele460410879_b_nat @ SV671 ) ) )
| ~ ~ ( ~ ~ ( ( SV671
!= ( restrict_b_nat @ SV671 ) )
| ( SV739
!= ( restrict_b_nat @ SV739 ) ) )
| ( ( graph_union_b_nat @ SV671 @ SV739 )
!= SV739 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3888]) ).
thf(3962,plain,
! [SV672: set_Pr9961929at_nat] :
( ( ( finite1987068434at_nat @ SV672 )
= $true )
| ( ( SV672 != bot_bo1626616373at_nat )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3890]) ).
thf(3963,plain,
! [SV740: produc1235635379_b_nat,SV673: labeled_graph_b_nat > labeled_graph_b_nat > $o] :
( ( ( SV673 @ ( produc194497945_b_nat @ SV740 ) @ ( produc1542243159_b_nat @ SV740 ) )
= $false )
| ( ( ~ ! [SY959: labeled_graph_b_nat,SY960: labeled_graph_b_nat] :
~ ( SV673 @ SY960 @ SY959 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3891]) ).
thf(3964,plain,
! [SV741: labeled_graph_b_nat,SV674: labeled_graph_b_nat] :
( ( ( SV674
= ( restrict_b_nat @ SV674 ) )
= $false )
| ( ( ( SV741
!= ( restrict_b_nat @ SV741 ) )
| ( ( graph_union_b_nat @ SV674 @ SV741 )
= ( restrict_b_nat @ ( graph_union_b_nat @ SV674 @ SV741 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3892]) ).
thf(3965,plain,
! [SV782: labeled_graph_b_nat,SV742: labeled_graph_b_nat,SV675: labeled_graph_b_nat > labeled_graph_b_nat > $o] :
( ( ( ~ ( SV675 @ SV742 @ SV782 ) )
= $true )
| ( ( SV675 @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ SV782 @ SV742 ) ) @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ SV782 @ SV742 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3893]) ).
thf(3966,plain,
! [SV676: produc1235635379_b_nat] :
( ( SV676
!= ( produc951298923_b_nat @ ( sK86_SY964 @ SV676 ) @ ( sK89_SY1092 @ SV676 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[3894]) ).
thf(3967,plain,
! [SV743: labeled_graph_b_nat,SV677: labeled_graph_b_nat] :
( ( ( graph_529870330at_nat @ SV677 @ SV743 @ ( id_on_nat @ ( labele460410879_b_nat @ SV677 ) ) )
= $false )
| ( ( ord_le910748009at_nat @ ( labeled_edges_b_nat @ ( restrict_b_nat @ SV677 ) ) @ ( labeled_edges_b_nat @ SV743 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3895]) ).
thf(3968,plain,
! [SV807: labeled_graph_b_nat,SV783: labeled_graph_b_nat,SV744: labeled_graph_b_nat,SV678: labeled_graph_b_nat] :
( ( ( ( produc951298923_b_nat @ SV678 @ SV744 )
= ( produc951298923_b_nat @ SV783 @ SV807 ) )
= ( ~ ( ( SV678 != SV783 )
| ( SV744 != SV807 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3896]) ).
thf(3969,plain,
! [SV808: produc1478835367term_b,SV784: allegorical_term_b,SV745: allegorical_term_b,SV679: allegorical_term_b > allegorical_term_b > $o] :
( ( ~ ( SV679 @ SV745 @ SV784 )
| ( SV808
!= ( produc1990145943term_b @ SV745 @ SV784 ) )
| ( SV679 @ ( produc854192515term_b @ SV808 ) @ ( produc1223098053term_b @ SV808 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3897]) ).
thf(3970,plain,
! [SV785: labeled_graph_b_nat,SV746: labeled_graph_b_nat,SV681: produc1235635379_b_nat] :
( ( ( SV681
!= ( produc951298923_b_nat @ SV746 @ SV785 ) )
= $true )
| ( ( ( produc194497945_b_nat @ SV681 )
= SV785 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3899]) ).
thf(3971,plain,
! [SV786: labeled_graph_b_nat,SV747: labeled_graph_b_nat,SV682: labeled_graph_b_nat] :
( ( ( ( produc1542243159_b_nat @ ( produc951298923_b_nat @ SV682 @ SV747 ) )
!= SV786 )
= $true )
| ( ( SV682 = SV786 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3900]) ).
thf(3972,plain,
! [SV683: produc1235635379_b_nat] :
( ( ~ ! [SY1095: labeled_graph_b_nat] :
( SV683
!= ( produc951298923_b_nat @ ( sK87_SY977 @ SV683 ) @ SY1095 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[3901]) ).
thf(3973,plain,
! [SV748: set_nat,SV684: set_nat] :
( ( ( finite_finite_nat @ SV684 )
= $false )
| ( ( ~ ( ord_less_eq_set_nat @ SV748 @ SV684 )
| ( finite_finite_nat @ SV748 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3902]) ).
thf(3974,plain,
! [SV749: produc1235635379_b_nat,SV685: produc1235635379_b_nat] :
( ( ( ~ ( ( ( produc1542243159_b_nat @ SV685 )
!= ( produc1542243159_b_nat @ SV749 ) )
| ( ( produc194497945_b_nat @ SV685 )
!= ( produc194497945_b_nat @ SV749 ) ) ) )
= $false )
| ( ( SV685 = SV749 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3903]) ).
thf(3975,plain,
! [SV809: labeled_graph_b_nat,SV787: set_Pr551076371_b_nat,SV750: labeled_graph_b_nat,SV686: labeled_graph_b_nat] :
( ( ~ ( member963855452_b_nat @ ( produc951298923_b_nat @ SV686 @ SV750 ) @ SV787 )
| ( SV809 != SV750 )
| ( member963855452_b_nat @ ( produc951298923_b_nat @ SV686 @ SV809 ) @ SV787 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3904]) ).
thf(3976,plain,
! [SV751: produc1478835367term_b,SV687: produc1478835367term_b > $o] :
( ( ( ! [SY985: allegorical_term_b,SY986: allegorical_term_b] : ( SV687 @ ( produc1990145943term_b @ SY985 @ SY986 ) ) )
= $false )
| ( ( SV687 @ SV751 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3905]) ).
thf(3977,plain,
! [SV752: set_Pr9961929at_nat,SV688: set_Pr9961929at_nat] :
( ( ( finite1987068434at_nat @ SV688 )
= $false )
| ( ( ~ ( ord_le910748009at_nat @ SV752 @ SV688 )
| ( finite1987068434at_nat @ SV752 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3906]) ).
thf(3978,plain,
! [SV753: nat,SV689: nat > labeled_graph_b_nat] :
( ( ( chain_b_nat @ SV689 )
= $false )
| ( ( ( SV689 @ SV753 )
= ( restrict_b_nat @ ( SV689 @ SV753 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3907]) ).
thf(3979,plain,
! [SV754: set_nat,SV690: set_nat] :
( ( ( ord_less_eq_set_nat @ SV690 @ SV754 )
= $false )
| ( ( ~ ( finite_finite_nat @ SV754 )
| ( finite_finite_nat @ SV690 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3908]) ).
thf(3980,plain,
! [SV788: labeled_graph_b_nat,SV755: labeled_graph_b_nat,SV691: labeled_graph_b_nat] :
( ( ( ~ ( graph_529870330at_nat @ SV691 @ SV755 @ ( id_on_nat @ ( labele460410879_b_nat @ SV691 ) ) ) )
= $true )
| ( ( ~ ( graph_529870330at_nat @ SV755 @ SV788 @ ( id_on_nat @ ( labele460410879_b_nat @ SV755 ) ) )
| ( graph_529870330at_nat @ SV691 @ SV788 @ ( id_on_nat @ ( labele460410879_b_nat @ SV691 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3909]) ).
thf(3981,plain,
! [SV692: produc1478835367term_b] :
( ( SV692
!= ( produc1990145943term_b @ ( sK88_SY992 @ SV692 ) @ ( sK90_SY1097 @ SV692 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[3910]) ).
thf(3982,plain,
! [SV789: set_Pr1986765409at_nat,SV756: labeled_graph_b_nat,SV693: labeled_graph_b_nat] :
( ( ( ~ ( graph_529870330at_nat @ SV693 @ SV756 @ SV789 ) )
= $true )
| ( ( extensible_b_nat_nat @ ( produc951298923_b_nat @ SV693 @ SV693 ) @ SV756 @ SV789 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3911]) ).
thf(3983,plain,
! [SV810: labeled_graph_b_nat,SV790: labeled_graph_b_nat > $o,SV757: labeled_graph_b_nat,SV694: labeled_graph_b_nat > $o] :
( ( ~ ( SV694 @ SV757 )
| ~ ( SV790 @ SV810 )
| ~ ( ~ ( SV694 @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ SV757 @ SV810 ) ) )
| ~ ( SV790 @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ SV757 @ SV810 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3912]) ).
thf(3984,plain,
! [SV791: labeled_graph_b_nat,SV758: labeled_graph_b_nat,SV695: produc1235635379_b_nat] :
( ( ( SV695
!= ( produc951298923_b_nat @ SV758 @ SV791 ) )
= $true )
| ( ( ( produc1542243159_b_nat @ SV695 )
= SV758 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3913]) ).
thf(3985,plain,
! [SV759: set_Pr9961929at_nat,SV696: set_Pr9961929at_nat] :
( ( ( ord_le910748009at_nat @ SV696 @ SV759 )
= $false )
| ( ( ~ ~ ( finite1987068434at_nat @ SV696 )
| ~ ( finite1987068434at_nat @ SV759 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3914]) ).
thf(3986,plain,
! [SV760: produc1478835367term_b,SV697: allegorical_term_b > allegorical_term_b > $o] :
( ( ( SV697 @ ( produc1223098053term_b @ SV760 ) @ ( produc854192515term_b @ SV760 ) )
= $false )
| ( ( ~ ! [SY1003: allegorical_term_b,SY1004: allegorical_term_b] :
~ ( SV697 @ SY1004 @ SY1003 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3915]) ).
thf(3987,plain,
! [SV811: allegorical_term_b,SV792: allegorical_term_b,SV761: allegorical_term_b,SV698: allegorical_term_b] :
( ( ( ( produc1990145943term_b @ SV698 @ SV761 )
= ( produc1990145943term_b @ SV792 @ SV811 ) )
= ( ~ ( ( SV698 != SV792 )
| ( SV761 != SV811 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3916]) ).
thf(3988,plain,
! [SV793: allegorical_term_b,SV762: allegorical_term_b,SV699: allegorical_term_b] :
( ( ( ( produc854192515term_b @ ( produc1990145943term_b @ SV699 @ SV762 ) )
!= SV793 )
= $true )
| ( ( SV699 = SV793 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3917]) ).
thf(3989,plain,
! [SV763: produc1235635379_b_nat,SV700: produc1235635379_b_nat > $o] :
( ( ( ! [SY1011: labeled_graph_b_nat,SY1012: labeled_graph_b_nat] : ( SV700 @ ( produc951298923_b_nat @ SY1011 @ SY1012 ) ) )
= $false )
| ( ( SV700 @ SV763 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3918]) ).
thf(3990,plain,
! [SV794: allegorical_term_b,SV764: allegorical_term_b,SV701: produc1478835367term_b] :
( ( ( SV701
!= ( produc1990145943term_b @ SV764 @ SV794 ) )
= $true )
| ( ( ( produc854192515term_b @ SV701 )
= SV764 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3919]) ).
thf(3991,plain,
! [SV765: produc1478835367term_b,SV702: allegorical_term_b] :
( ( ( ~ ( ( SV702
= ( produc854192515term_b @ SV765 ) )
| ~ ! [SY1079: allegorical_term_b] :
( SV765
!= ( produc1990145943term_b @ SV702 @ SY1079 ) ) ) )
= $true )
| ( ( ~ ( ( SV702
!= ( produc854192515term_b @ SV765 ) )
| ~ ~ ! [SY1079: allegorical_term_b] :
( SV765
!= ( produc1990145943term_b @ SV702 @ SY1079 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3920]) ).
thf(3992,plain,
! [SV613: labeled_graph_b_nat] :
( ( ( graph_529870330at_nat @ SV613 @ SV613 @ ( id_on_nat @ ( labele460410879_b_nat @ SV613 ) ) )
= $false )
| ( ( ~ ( ~ ( graph_529870330at_nat @ SV613 @ SV613 @ ( id_on_nat @ ( labele460410879_b_nat @ SV613 ) ) )
| ( SV613
!= ( restrict_b_nat @ SV613 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3922]) ).
thf(3993,plain,
! [SV613: labeled_graph_b_nat] :
( ( ( SV613
= ( restrict_b_nat @ SV613 ) )
= $false )
| ( ( ~ ( ~ ( graph_529870330at_nat @ SV613 @ SV613 @ ( id_on_nat @ ( labele460410879_b_nat @ SV613 ) ) )
| ( SV613
!= ( restrict_b_nat @ SV613 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3922]) ).
thf(3994,plain,
! [SV614: labeled_graph_b_nat] :
( ( ( graph_529870330at_nat @ SV614 @ ( restrict_b_nat @ SV614 ) @ ( id_on_nat @ ( labele460410879_b_nat @ SV614 ) ) )
= $false )
| ( ( ~ ( ~ ( graph_529870330at_nat @ SV614 @ ( restrict_b_nat @ SV614 ) @ ( id_on_nat @ ( labele460410879_b_nat @ SV614 ) ) )
| ( SV614
!= ( restrict_b_nat @ SV614 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3923]) ).
thf(3995,plain,
! [SV614: labeled_graph_b_nat] :
( ( ( SV614
= ( restrict_b_nat @ SV614 ) )
= $false )
| ( ( ~ ( ~ ( graph_529870330at_nat @ SV614 @ ( restrict_b_nat @ SV614 ) @ ( id_on_nat @ ( labele460410879_b_nat @ SV614 ) ) )
| ( SV614
!= ( restrict_b_nat @ SV614 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3923]) ).
thf(3996,plain,
! [SV710: produc1478835367term_b,SV638: allegorical_term_b] :
( ( ( ( SV638
= ( produc1223098053term_b @ SV710 ) )
| ~ ! [SY1017: allegorical_term_b] :
( SV710
!= ( produc1990145943term_b @ SY1017 @ SV638 ) ) )
= $false )
| ( ( ~ ( ( SV638
!= ( produc1223098053term_b @ SV710 ) )
| ~ ~ ! [SY1017: allegorical_term_b] :
( SV710
!= ( produc1990145943term_b @ SY1017 @ SV638 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3924]) ).
thf(3997,plain,
! [SV711: produc1235635379_b_nat,SV639: produc1235635379_b_nat] :
( ( ( ( produc194497945_b_nat @ SV639 )
!= ( produc194497945_b_nat @ SV711 ) )
= $true )
| ( ( SV639 = SV711 )
= $true )
| ( ( ( produc1542243159_b_nat @ SV639 )
= ( produc1542243159_b_nat @ SV711 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3925]) ).
thf(3998,plain,
! [SV795: allegorical_term_b,SV766: set_Pr1163220871term_b,SV712: allegorical_term_b,SV640: allegorical_term_b] :
( ( ( ~ ( member516522448term_b @ ( produc1990145943term_b @ SV640 @ SV712 ) @ SV766 ) )
= $true )
| ( ( ( SV795 != SV712 )
| ( member516522448term_b @ ( produc1990145943term_b @ SV640 @ SV795 ) @ SV766 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3926]) ).
thf(3999,plain,
! [SV713: produc1478835367term_b,SV641: produc1478835367term_b > $o] :
( ( ( ! [SY1101: allegorical_term_b] : ( SV641 @ ( produc1990145943term_b @ ( sK91_SY899 @ SV713 @ SV641 ) @ SY1101 ) ) )
= $false )
| ( ( SV641 @ SV713 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[3927]) ).
thf(4000,plain,
! [SV796: labeled_graph_b_nat,SV767: labeled_graph_b_nat,SV714: labeled_graph_b_nat,SV642: labeled_graph_b_nat] :
( ( ( ( produc951298923_b_nat @ SV642 @ SV714 )
!= ( produc951298923_b_nat @ SV767 @ SV796 ) )
= $true )
| ( ( ~ ( ( SV642 != SV767 )
| ( SV714 != SV796 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3928]) ).
thf(4001,plain,
! [SV797: allegorical_term_b,SV768: allegorical_term_b,SV715: allegorical_term_b,SV643: allegorical_term_b] :
( ( ( ( produc1990145943term_b @ SV643 @ SV715 )
!= ( produc1990145943term_b @ SV768 @ SV797 ) )
= $true )
| ( ( ~ ( ( SV643 != SV768 )
| ( SV715 != SV797 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3929]) ).
thf(4002,plain,
! [SV798: produc1235635379_b_nat,SV716: produc1235635379_b_nat] :
( ( ~ ( ( SV716 = SV798 )
| ~ ( ( ( produc1542243159_b_nat @ SV716 )
!= ( produc1542243159_b_nat @ SV798 ) )
| ( ( produc194497945_b_nat @ SV716 )
!= ( produc194497945_b_nat @ SV798 ) ) ) )
| ~ ( ( SV716 != SV798 )
| ~ ~ ( ( ( produc1542243159_b_nat @ SV716 )
!= ( produc1542243159_b_nat @ SV798 ) )
| ( ( produc194497945_b_nat @ SV716 )
!= ( produc194497945_b_nat @ SV798 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[3930]) ).
thf(4003,plain,
! [SV798: produc1235635379_b_nat,SV716: produc1235635379_b_nat] :
( ( ( SV716 = SV798 )
= ( ~ ( ( ( produc1542243159_b_nat @ SV716 )
!= ( produc1542243159_b_nat @ SV798 ) )
| ( ( produc194497945_b_nat @ SV716 )
!= ( produc194497945_b_nat @ SV798 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[3930]) ).
thf(4004,plain,
! [SV812: set_Pr1986765409at_nat,SV799: labeled_graph_b_nat,SV770: set_Pr1986765409at_nat,SV717: labeled_graph_b_nat,SV645: labeled_graph_b_nat] :
( ( ~ ( graph_529870330at_nat @ SV645 @ SV717 @ SV770 )
| ~ ( graph_529870330at_nat @ SV717 @ SV799 @ SV812 )
| ( graph_529870330at_nat @ SV645 @ SV799 @ ( relcomp_nat_nat_nat @ SV770 @ SV812 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3931]) ).
thf(4005,plain,
! [SV800: set_Pr1986765409at_nat,SV771: labeled_graph_b_nat,SV718: labeled_graph_b_nat,SV646: labeled_graph_b_nat] :
( ( ( ~ ( graph_529870330at_nat @ SV646 @ SV718 @ ( id_on_nat @ ( labele460410879_b_nat @ SV646 ) ) ) )
= $true )
| ( ( ~ ( graph_529870330at_nat @ SV771 @ SV646 @ SV800 )
| ( graph_529870330at_nat @ SV771 @ SV718 @ SV800 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3932]) ).
thf(4006,plain,
! [SV647: b] :
( ( ~ ~ ( ~ ( graph_529870330at_nat @ ( produc1542243159_b_nat @ ( standa1360217389rule_b @ SV647 ) ) @ ( produc194497945_b_nat @ ( standa1360217389rule_b @ SV647 ) ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ ( standa1360217389rule_b @ SV647 ) ) ) ) )
| ( ( produc194497945_b_nat @ ( standa1360217389rule_b @ SV647 ) )
!= ( restrict_b_nat @ ( produc194497945_b_nat @ ( standa1360217389rule_b @ SV647 ) ) ) ) )
| ~ ( finite_finite_nat @ ( labele460410879_b_nat @ ( produc194497945_b_nat @ ( standa1360217389rule_b @ SV647 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[3933]) ).
thf(4007,plain,
! [SV801: allegorical_term_b,SV772: allegorical_term_b,SV719: allegorical_term_b,SV648: allegorical_term_b] :
( ( ~ ( ( ( allegorical_A_Int_b @ SV648 @ SV719 )
= ( allegorical_A_Int_b @ SV772 @ SV801 ) )
| ~ ( ( SV648 != SV772 )
| ( SV719 != SV801 ) ) )
| ~ ( ( ( allegorical_A_Int_b @ SV648 @ SV719 )
!= ( allegorical_A_Int_b @ SV772 @ SV801 ) )
| ~ ~ ( ( SV648 != SV772 )
| ( SV719 != SV801 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[3935]) ).
thf(4008,plain,
! [SV801: allegorical_term_b,SV772: allegorical_term_b,SV719: allegorical_term_b,SV648: allegorical_term_b] :
( ( ( ( allegorical_A_Int_b @ SV648 @ SV719 )
= ( allegorical_A_Int_b @ SV772 @ SV801 ) )
= ( ~ ( ( SV648 != SV772 )
| ( SV719 != SV801 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[3935]) ).
thf(4009,plain,
! [SV802: allegorical_term_b,SV773: allegorical_term_b,SV720: allegorical_term_b,SV649: allegorical_term_b] :
( ( ~ ( ( ( produc1990145943term_b @ SV649 @ SV720 )
= ( produc1990145943term_b @ SV773 @ SV802 ) )
| ~ ( ( SV649 != SV773 )
| ( SV720 != SV802 ) ) )
| ~ ( ( ( produc1990145943term_b @ SV649 @ SV720 )
!= ( produc1990145943term_b @ SV773 @ SV802 ) )
| ~ ~ ( ( SV649 != SV773 )
| ( SV720 != SV802 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[3936]) ).
thf(4010,plain,
! [SV802: allegorical_term_b,SV773: allegorical_term_b,SV720: allegorical_term_b,SV649: allegorical_term_b] :
( ( ( ( produc1990145943term_b @ SV649 @ SV720 )
= ( produc1990145943term_b @ SV773 @ SV802 ) )
= ( ~ ( ( SV649 != SV773 )
| ( SV720 != SV802 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[3936]) ).
thf(4011,plain,
! [SV803: allegorical_term_b,SV774: allegorical_term_b > $o,SV721: allegorical_term_b,SV650: allegorical_term_b > $o] :
( ( ( ~ ( SV650 @ SV721 ) )
= $true )
| ( ( ~ ( SV774 @ SV803 )
| ~ ( ~ ( SV650 @ ( produc854192515term_b @ ( produc1990145943term_b @ SV721 @ SV803 ) ) )
| ~ ( SV774 @ ( produc1223098053term_b @ ( produc1990145943term_b @ SV721 @ SV803 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3937]) ).
thf(4012,plain,
! [SV651: b] :
( ( ~ ~ ( ~ ( graph_529870330at_nat @ ( produc1542243159_b_nat @ ( standa1329480013rule_b @ SV651 ) ) @ ( produc194497945_b_nat @ ( standa1329480013rule_b @ SV651 ) ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ ( standa1329480013rule_b @ SV651 ) ) ) ) )
| ( ( produc194497945_b_nat @ ( standa1329480013rule_b @ SV651 ) )
!= ( restrict_b_nat @ ( produc194497945_b_nat @ ( standa1329480013rule_b @ SV651 ) ) ) ) )
| ~ ( finite_finite_nat @ ( labele460410879_b_nat @ ( produc194497945_b_nat @ ( standa1329480013rule_b @ SV651 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[3938]) ).
thf(4013,plain,
( ( ~ ~ ( ~ ( graph_529870330at_nat @ ( produc1542243159_b_nat @ standa879863266rule_b ) @ ( produc194497945_b_nat @ standa879863266rule_b ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ standa879863266rule_b ) ) ) )
| ( ( produc194497945_b_nat @ standa879863266rule_b )
!= ( restrict_b_nat @ ( produc194497945_b_nat @ standa879863266rule_b ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[3940]) ).
thf(4014,plain,
( ( ~ ( finite_finite_nat @ ( labele460410879_b_nat @ ( produc194497945_b_nat @ standa879863266rule_b ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[3940]) ).
thf(4015,plain,
! [SV775: allegorical_term_b,SV722: allegorical_term_b,SV652: allegorical_term_b > allegorical_term_b > $o] :
( ( ( SV652 @ SV722 @ SV775 )
= $false )
| ( ( SV652 @ ( produc1223098053term_b @ ( produc1990145943term_b @ SV775 @ SV722 ) ) @ ( produc854192515term_b @ ( produc1990145943term_b @ SV775 @ SV722 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3941]) ).
thf(4016,plain,
! [SV653: produc1478835367term_b] :
( ( ! [SY1089: allegorical_term_b] :
( SV653
!= ( produc1990145943term_b @ ( sK85_SY927 @ SV653 ) @ SY1089 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[3942]) ).
thf(4017,plain,
! [SV723: produc1478835367term_b,SV654: produc1478835367term_b] :
( ( ( ( ( produc854192515term_b @ SV654 )
!= ( produc854192515term_b @ SV723 ) )
| ( ( produc1223098053term_b @ SV654 )
!= ( produc1223098053term_b @ SV723 ) ) )
= $true )
| ( ( SV654 = SV723 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3943]) ).
thf(4018,plain,
! [SV655: set_Pr9961929at_nat,SV724: set_Pr9961929at_nat] :
( ( ( ~ ( finite1987068434at_nat @ SV724 ) )
= $true )
| ( ( finite1987068434at_nat @ SV655 )
= $true )
| ( ( ord_le910748009at_nat @ SV655 @ SV724 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3944]) ).
thf(4019,plain,
! [SV776: labeled_graph_b_nat,SV725: labeled_graph_b_nat,SV656: labeled_graph_b_nat] :
( ( ( ( produc194497945_b_nat @ ( produc951298923_b_nat @ SV656 @ SV725 ) )
= SV776 )
= $false )
| ( ( SV725 = SV776 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3945]) ).
thf(4020,plain,
! [SV726: labeled_graph_b_nat,SV657: labeled_graph_b_nat] :
( ( ( ( ( labeled_edges_b_nat @ SV657 )
!= ( labeled_edges_b_nat @ SV726 ) )
| ( ( labele460410879_b_nat @ SV657 )
!= ( labele460410879_b_nat @ SV726 ) ) )
= $true )
| ( ( SV657 = SV726 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3946]) ).
thf(4021,plain,
! [SV728: set_nat,SV659: set_nat] :
( ( ( ~ ~ ( finite_finite_nat @ SV659 ) )
= $true )
| ( ( ~ ( finite_finite_nat @ SV728 ) )
= $true )
| ( ( ord_less_eq_set_nat @ SV659 @ SV728 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3948]) ).
thf(4022,plain,
! [SV804: produc1235635379_b_nat,SV777: labeled_graph_b_nat,SV729: labeled_graph_b_nat,SV660: labeled_graph_b_nat > labeled_graph_b_nat > $o] :
( ( ( ~ ( SV660 @ SV729 @ SV777 ) )
= $true )
| ( ( ( SV804
!= ( produc951298923_b_nat @ SV729 @ SV777 ) )
| ( SV660 @ ( produc1542243159_b_nat @ SV804 ) @ ( produc194497945_b_nat @ SV804 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3949]) ).
thf(4023,plain,
! [SV805: produc1478835367term_b,SV730: produc1478835367term_b] :
( ( ~ ( ( SV730 = SV805 )
| ~ ( ( ( produc854192515term_b @ SV730 )
!= ( produc854192515term_b @ SV805 ) )
| ( ( produc1223098053term_b @ SV730 )
!= ( produc1223098053term_b @ SV805 ) ) ) )
| ~ ( ( SV730 != SV805 )
| ~ ~ ( ( ( produc854192515term_b @ SV730 )
!= ( produc854192515term_b @ SV805 ) )
| ( ( produc1223098053term_b @ SV730 )
!= ( produc1223098053term_b @ SV805 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[3950]) ).
thf(4024,plain,
! [SV805: produc1478835367term_b,SV730: produc1478835367term_b] :
( ( ( SV730 = SV805 )
= ( ~ ( ( ( produc854192515term_b @ SV730 )
!= ( produc854192515term_b @ SV805 ) )
| ( ( produc1223098053term_b @ SV730 )
!= ( produc1223098053term_b @ SV805 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[3950]) ).
thf(4025,plain,
! [SV806: labeled_graph_b_nat,SV779: labeled_graph_b_nat,SV731: labeled_graph_b_nat,SV662: labeled_graph_b_nat] :
( ( ~ ( ( ( produc951298923_b_nat @ SV662 @ SV731 )
= ( produc951298923_b_nat @ SV779 @ SV806 ) )
| ~ ( ( SV662 != SV779 )
| ( SV731 != SV806 ) ) )
| ~ ( ( ( produc951298923_b_nat @ SV662 @ SV731 )
!= ( produc951298923_b_nat @ SV779 @ SV806 ) )
| ~ ~ ( ( SV662 != SV779 )
| ( SV731 != SV806 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[3951]) ).
thf(4026,plain,
! [SV806: labeled_graph_b_nat,SV779: labeled_graph_b_nat,SV731: labeled_graph_b_nat,SV662: labeled_graph_b_nat] :
( ( ( ( produc951298923_b_nat @ SV662 @ SV731 )
= ( produc951298923_b_nat @ SV779 @ SV806 ) )
= ( ~ ( ( SV662 != SV779 )
| ( SV731 != SV806 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[3951]) ).
thf(4027,plain,
! [SV780: allegorical_term_b,SV732: allegorical_term_b,SV663: produc1478835367term_b] :
( ( ( SV663
= ( produc1990145943term_b @ SV732 @ SV780 ) )
= $false )
| ( ( ( produc1223098053term_b @ SV663 )
= SV780 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3952]) ).
thf(4028,plain,
! [SV664: set_nat] :
( ( ( SV664 = bot_bot_set_nat )
= $false )
| ( ( finite_finite_nat @ SV664 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3953]) ).
thf(4029,plain,
! [SV733: produc1235635379_b_nat,SV665: labeled_graph_b_nat] :
( ( ( ( SV665
= ( produc194497945_b_nat @ SV733 ) )
| ~ ! [SY1048: labeled_graph_b_nat] :
( SV733
!= ( produc951298923_b_nat @ SY1048 @ SV665 ) ) )
= $false )
| ( ( ~ ( ( SV665
!= ( produc194497945_b_nat @ SV733 ) )
| ~ ~ ! [SY1048: labeled_graph_b_nat] :
( SV733
!= ( produc951298923_b_nat @ SY1048 @ SV665 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3954]) ).
thf(4030,plain,
! [SV734: produc1478835367term_b,SV666: produc1478835367term_b] :
( ( ( ( produc1223098053term_b @ SV666 )
!= ( produc1223098053term_b @ SV734 ) )
= $true )
| ( ( SV666 = SV734 )
= $true )
| ( ( ( produc854192515term_b @ SV666 )
= ( produc854192515term_b @ SV734 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3955]) ).
thf(4031,plain,
! [SV735: allegorical_term_b,SV667: allegorical_term_b] :
( ( ~ ( ~ ~ ( ~ ( graph_529870330at_nat @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV667 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV667 @ SV735 ) ) ) ) @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV667 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV667 @ SV735 ) ) ) ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV667 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV667 @ SV735 ) ) ) ) ) ) )
| ( ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV667 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV667 @ SV735 ) ) ) )
!= ( restrict_b_nat @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV667 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV667 @ SV735 ) ) ) ) ) ) )
| ~ ( finite_finite_nat @ ( labele460410879_b_nat @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV667 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV667 @ SV735 ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[3956]) ).
thf(4032,plain,
! [SV735: allegorical_term_b,SV667: allegorical_term_b] :
( ( finite1987068434at_nat @ ( labeled_edges_b_nat @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV667 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV667 @ SV735 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[3957]) ).
thf(4033,plain,
! [SV781: allegorical_term_b,SV736: allegorical_term_b,SV668: allegorical_term_b] :
( ( ( ( produc1223098053term_b @ ( produc1990145943term_b @ SV668 @ SV736 ) )
= SV781 )
= $false )
| ( ( SV736 = SV781 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3958]) ).
thf(4034,plain,
! [SV737: produc1235635379_b_nat,SV669: labeled_graph_b_nat] :
( ( ( ( SV669
= ( produc1542243159_b_nat @ SV737 ) )
| ~ ! [SY1050: labeled_graph_b_nat] :
( SV737
!= ( produc951298923_b_nat @ SV669 @ SY1050 ) ) )
= $false )
| ( ( ~ ( ( SV669
!= ( produc1542243159_b_nat @ SV737 ) )
| ~ ~ ! [SY1050: labeled_graph_b_nat] :
( SV737
!= ( produc951298923_b_nat @ SV669 @ SY1050 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3959]) ).
thf(4035,plain,
! [SV738: produc1235635379_b_nat,SV670: produc1235635379_b_nat > $o] :
( ( ( ! [SY1102: labeled_graph_b_nat] : ( SV670 @ ( produc951298923_b_nat @ ( sK92_SY955 @ SV738 @ SV670 ) @ SY1102 ) ) )
= $false )
| ( ( SV670 @ SV738 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[3960]) ).
thf(4036,plain,
! [SV739: labeled_graph_b_nat,SV671: labeled_graph_b_nat] :
( ( ( ( graph_529870330at_nat @ SV671 @ SV739 @ ( id_on_nat @ ( labele460410879_b_nat @ SV671 ) ) )
| ~ ( ~ ~ ( ( SV671
!= ( restrict_b_nat @ SV671 ) )
| ( SV739
!= ( restrict_b_nat @ SV739 ) ) )
| ( ( graph_union_b_nat @ SV671 @ SV739 )
!= SV739 ) ) )
= $false )
| ( ( ~ ( ~ ( graph_529870330at_nat @ SV671 @ SV739 @ ( id_on_nat @ ( labele460410879_b_nat @ SV671 ) ) )
| ~ ~ ( ~ ~ ( ( SV671
!= ( restrict_b_nat @ SV671 ) )
| ( SV739
!= ( restrict_b_nat @ SV739 ) ) )
| ( ( graph_union_b_nat @ SV671 @ SV739 )
!= SV739 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3961]) ).
thf(4037,plain,
! [SV672: set_Pr9961929at_nat] :
( ( ( SV672 = bot_bo1626616373at_nat )
= $false )
| ( ( finite1987068434at_nat @ SV672 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3962]) ).
thf(4038,plain,
! [SV740: produc1235635379_b_nat,SV673: labeled_graph_b_nat > labeled_graph_b_nat > $o] :
( ( ( ! [SY959: labeled_graph_b_nat,SY960: labeled_graph_b_nat] :
~ ( SV673 @ SY960 @ SY959 ) )
= $false )
| ( ( SV673 @ ( produc194497945_b_nat @ SV740 ) @ ( produc1542243159_b_nat @ SV740 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3963]) ).
thf(4039,plain,
! [SV674: labeled_graph_b_nat,SV741: labeled_graph_b_nat] :
( ( ( SV741
!= ( restrict_b_nat @ SV741 ) )
= $true )
| ( ( ( graph_union_b_nat @ SV674 @ SV741 )
= ( restrict_b_nat @ ( graph_union_b_nat @ SV674 @ SV741 ) ) )
= $true )
| ( ( SV674
= ( restrict_b_nat @ SV674 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3964]) ).
thf(4040,plain,
! [SV782: labeled_graph_b_nat,SV742: labeled_graph_b_nat,SV675: labeled_graph_b_nat > labeled_graph_b_nat > $o] :
( ( ( SV675 @ SV742 @ SV782 )
= $false )
| ( ( SV675 @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ SV782 @ SV742 ) ) @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ SV782 @ SV742 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3965]) ).
thf(4041,plain,
! [SV676: produc1235635379_b_nat] :
( ( SV676
= ( produc951298923_b_nat @ ( sK86_SY964 @ SV676 ) @ ( sK89_SY1092 @ SV676 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[3966]) ).
thf(4042,plain,
! [SV807: labeled_graph_b_nat,SV783: labeled_graph_b_nat,SV744: labeled_graph_b_nat,SV678: labeled_graph_b_nat] :
( ( ~ ( ( ( produc951298923_b_nat @ SV678 @ SV744 )
= ( produc951298923_b_nat @ SV783 @ SV807 ) )
| ~ ( ( SV678 != SV783 )
| ( SV744 != SV807 ) ) )
| ~ ( ( ( produc951298923_b_nat @ SV678 @ SV744 )
!= ( produc951298923_b_nat @ SV783 @ SV807 ) )
| ~ ~ ( ( SV678 != SV783 )
| ( SV744 != SV807 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[3968]) ).
thf(4043,plain,
! [SV807: labeled_graph_b_nat,SV783: labeled_graph_b_nat,SV744: labeled_graph_b_nat,SV678: labeled_graph_b_nat] :
( ( ( ( produc951298923_b_nat @ SV678 @ SV744 )
= ( produc951298923_b_nat @ SV783 @ SV807 ) )
= ( ~ ( ( SV678 != SV783 )
| ( SV744 != SV807 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[3968]) ).
thf(4044,plain,
! [SV808: produc1478835367term_b,SV784: allegorical_term_b,SV745: allegorical_term_b,SV679: allegorical_term_b > allegorical_term_b > $o] :
( ( ( ~ ( SV679 @ SV745 @ SV784 ) )
= $true )
| ( ( ( SV808
!= ( produc1990145943term_b @ SV745 @ SV784 ) )
| ( SV679 @ ( produc854192515term_b @ SV808 ) @ ( produc1223098053term_b @ SV808 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3969]) ).
thf(4045,plain,
! [SV785: labeled_graph_b_nat,SV746: labeled_graph_b_nat,SV681: produc1235635379_b_nat] :
( ( ( SV681
= ( produc951298923_b_nat @ SV746 @ SV785 ) )
= $false )
| ( ( ( produc194497945_b_nat @ SV681 )
= SV785 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3970]) ).
thf(4046,plain,
! [SV786: labeled_graph_b_nat,SV747: labeled_graph_b_nat,SV682: labeled_graph_b_nat] :
( ( ( ( produc1542243159_b_nat @ ( produc951298923_b_nat @ SV682 @ SV747 ) )
= SV786 )
= $false )
| ( ( SV682 = SV786 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3971]) ).
thf(4047,plain,
! [SV683: produc1235635379_b_nat] :
( ( ! [SY1095: labeled_graph_b_nat] :
( SV683
!= ( produc951298923_b_nat @ ( sK87_SY977 @ SV683 ) @ SY1095 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[3972]) ).
thf(4048,plain,
! [SV684: set_nat,SV748: set_nat] :
( ( ( ~ ( ord_less_eq_set_nat @ SV748 @ SV684 ) )
= $true )
| ( ( finite_finite_nat @ SV748 )
= $true )
| ( ( finite_finite_nat @ SV684 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3973]) ).
thf(4049,plain,
! [SV749: produc1235635379_b_nat,SV685: produc1235635379_b_nat] :
( ( ( ( ( produc1542243159_b_nat @ SV685 )
!= ( produc1542243159_b_nat @ SV749 ) )
| ( ( produc194497945_b_nat @ SV685 )
!= ( produc194497945_b_nat @ SV749 ) ) )
= $true )
| ( ( SV685 = SV749 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3974]) ).
thf(4050,plain,
! [SV809: labeled_graph_b_nat,SV787: set_Pr551076371_b_nat,SV750: labeled_graph_b_nat,SV686: labeled_graph_b_nat] :
( ( ( ~ ( member963855452_b_nat @ ( produc951298923_b_nat @ SV686 @ SV750 ) @ SV787 ) )
= $true )
| ( ( ( SV809 != SV750 )
| ( member963855452_b_nat @ ( produc951298923_b_nat @ SV686 @ SV809 ) @ SV787 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3975]) ).
thf(4051,plain,
! [SV751: produc1478835367term_b,SV687: produc1478835367term_b > $o] :
( ( ( ! [SY1103: allegorical_term_b] : ( SV687 @ ( produc1990145943term_b @ ( sK93_SY985 @ SV751 @ SV687 ) @ SY1103 ) ) )
= $false )
| ( ( SV687 @ SV751 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[3976]) ).
thf(4052,plain,
! [SV688: set_Pr9961929at_nat,SV752: set_Pr9961929at_nat] :
( ( ( ~ ( ord_le910748009at_nat @ SV752 @ SV688 ) )
= $true )
| ( ( finite1987068434at_nat @ SV752 )
= $true )
| ( ( finite1987068434at_nat @ SV688 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3977]) ).
thf(4053,plain,
! [SV690: set_nat,SV754: set_nat] :
( ( ( ~ ( finite_finite_nat @ SV754 ) )
= $true )
| ( ( finite_finite_nat @ SV690 )
= $true )
| ( ( ord_less_eq_set_nat @ SV690 @ SV754 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3979]) ).
thf(4054,plain,
! [SV788: labeled_graph_b_nat,SV755: labeled_graph_b_nat,SV691: labeled_graph_b_nat] :
( ( ( graph_529870330at_nat @ SV691 @ SV755 @ ( id_on_nat @ ( labele460410879_b_nat @ SV691 ) ) )
= $false )
| ( ( ~ ( graph_529870330at_nat @ SV755 @ SV788 @ ( id_on_nat @ ( labele460410879_b_nat @ SV755 ) ) )
| ( graph_529870330at_nat @ SV691 @ SV788 @ ( id_on_nat @ ( labele460410879_b_nat @ SV691 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3980]) ).
thf(4055,plain,
! [SV692: produc1478835367term_b] :
( ( SV692
= ( produc1990145943term_b @ ( sK88_SY992 @ SV692 ) @ ( sK90_SY1097 @ SV692 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[3981]) ).
thf(4056,plain,
! [SV789: set_Pr1986765409at_nat,SV756: labeled_graph_b_nat,SV693: labeled_graph_b_nat] :
( ( ( graph_529870330at_nat @ SV693 @ SV756 @ SV789 )
= $false )
| ( ( extensible_b_nat_nat @ ( produc951298923_b_nat @ SV693 @ SV693 ) @ SV756 @ SV789 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3982]) ).
thf(4057,plain,
! [SV810: labeled_graph_b_nat,SV790: labeled_graph_b_nat > $o,SV757: labeled_graph_b_nat,SV694: labeled_graph_b_nat > $o] :
( ( ( ~ ( SV694 @ SV757 ) )
= $true )
| ( ( ~ ( SV790 @ SV810 )
| ~ ( ~ ( SV694 @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ SV757 @ SV810 ) ) )
| ~ ( SV790 @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ SV757 @ SV810 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3983]) ).
thf(4058,plain,
! [SV791: labeled_graph_b_nat,SV758: labeled_graph_b_nat,SV695: produc1235635379_b_nat] :
( ( ( SV695
= ( produc951298923_b_nat @ SV758 @ SV791 ) )
= $false )
| ( ( ( produc1542243159_b_nat @ SV695 )
= SV758 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3984]) ).
thf(4059,plain,
! [SV759: set_Pr9961929at_nat,SV696: set_Pr9961929at_nat] :
( ( ( ~ ~ ( finite1987068434at_nat @ SV696 ) )
= $true )
| ( ( ~ ( finite1987068434at_nat @ SV759 ) )
= $true )
| ( ( ord_le910748009at_nat @ SV696 @ SV759 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3985]) ).
thf(4060,plain,
! [SV760: produc1478835367term_b,SV697: allegorical_term_b > allegorical_term_b > $o] :
( ( ( ! [SY1003: allegorical_term_b,SY1004: allegorical_term_b] :
~ ( SV697 @ SY1004 @ SY1003 ) )
= $false )
| ( ( SV697 @ ( produc1223098053term_b @ SV760 ) @ ( produc854192515term_b @ SV760 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3986]) ).
thf(4061,plain,
! [SV811: allegorical_term_b,SV792: allegorical_term_b,SV761: allegorical_term_b,SV698: allegorical_term_b] :
( ( ~ ( ( ( produc1990145943term_b @ SV698 @ SV761 )
= ( produc1990145943term_b @ SV792 @ SV811 ) )
| ~ ( ( SV698 != SV792 )
| ( SV761 != SV811 ) ) )
| ~ ( ( ( produc1990145943term_b @ SV698 @ SV761 )
!= ( produc1990145943term_b @ SV792 @ SV811 ) )
| ~ ~ ( ( SV698 != SV792 )
| ( SV761 != SV811 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[3987]) ).
thf(4062,plain,
! [SV811: allegorical_term_b,SV792: allegorical_term_b,SV761: allegorical_term_b,SV698: allegorical_term_b] :
( ( ( ( produc1990145943term_b @ SV698 @ SV761 )
= ( produc1990145943term_b @ SV792 @ SV811 ) )
= ( ~ ( ( SV698 != SV792 )
| ( SV761 != SV811 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[3987]) ).
thf(4063,plain,
! [SV793: allegorical_term_b,SV762: allegorical_term_b,SV699: allegorical_term_b] :
( ( ( ( produc854192515term_b @ ( produc1990145943term_b @ SV699 @ SV762 ) )
= SV793 )
= $false )
| ( ( SV699 = SV793 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3988]) ).
thf(4064,plain,
! [SV763: produc1235635379_b_nat,SV700: produc1235635379_b_nat > $o] :
( ( ( ! [SY1104: labeled_graph_b_nat] : ( SV700 @ ( produc951298923_b_nat @ ( sK94_SY1011 @ SV763 @ SV700 ) @ SY1104 ) ) )
= $false )
| ( ( SV700 @ SV763 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[3989]) ).
thf(4065,plain,
! [SV794: allegorical_term_b,SV764: allegorical_term_b,SV701: produc1478835367term_b] :
( ( ( SV701
= ( produc1990145943term_b @ SV764 @ SV794 ) )
= $false )
| ( ( ( produc854192515term_b @ SV701 )
= SV764 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3990]) ).
thf(4066,plain,
! [SV765: produc1478835367term_b,SV702: allegorical_term_b] :
( ( ( ( SV702
= ( produc854192515term_b @ SV765 ) )
| ~ ! [SY1079: allegorical_term_b] :
( SV765
!= ( produc1990145943term_b @ SV702 @ SY1079 ) ) )
= $false )
| ( ( ~ ( ( SV702
!= ( produc854192515term_b @ SV765 ) )
| ~ ~ ! [SY1079: allegorical_term_b] :
( SV765
!= ( produc1990145943term_b @ SV702 @ SY1079 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3991]) ).
thf(4067,plain,
! [SV613: labeled_graph_b_nat] :
( ( ( ~ ( graph_529870330at_nat @ SV613 @ SV613 @ ( id_on_nat @ ( labele460410879_b_nat @ SV613 ) ) )
| ( SV613
!= ( restrict_b_nat @ SV613 ) ) )
= $false )
| ( ( graph_529870330at_nat @ SV613 @ SV613 @ ( id_on_nat @ ( labele460410879_b_nat @ SV613 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3992]) ).
thf(4068,plain,
! [SV613: labeled_graph_b_nat] :
( ( ( ~ ( graph_529870330at_nat @ SV613 @ SV613 @ ( id_on_nat @ ( labele460410879_b_nat @ SV613 ) ) )
| ( SV613
!= ( restrict_b_nat @ SV613 ) ) )
= $false )
| ( ( SV613
= ( restrict_b_nat @ SV613 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3993]) ).
thf(4069,plain,
! [SV614: labeled_graph_b_nat] :
( ( ( ~ ( graph_529870330at_nat @ SV614 @ ( restrict_b_nat @ SV614 ) @ ( id_on_nat @ ( labele460410879_b_nat @ SV614 ) ) )
| ( SV614
!= ( restrict_b_nat @ SV614 ) ) )
= $false )
| ( ( graph_529870330at_nat @ SV614 @ ( restrict_b_nat @ SV614 ) @ ( id_on_nat @ ( labele460410879_b_nat @ SV614 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3994]) ).
thf(4070,plain,
! [SV614: labeled_graph_b_nat] :
( ( ( ~ ( graph_529870330at_nat @ SV614 @ ( restrict_b_nat @ SV614 ) @ ( id_on_nat @ ( labele460410879_b_nat @ SV614 ) ) )
| ( SV614
!= ( restrict_b_nat @ SV614 ) ) )
= $false )
| ( ( SV614
= ( restrict_b_nat @ SV614 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3995]) ).
thf(4071,plain,
! [SV710: produc1478835367term_b,SV638: allegorical_term_b] :
( ( ( SV638
= ( produc1223098053term_b @ SV710 ) )
= $false )
| ( ( ~ ( ( SV638
!= ( produc1223098053term_b @ SV710 ) )
| ~ ~ ! [SY1017: allegorical_term_b] :
( SV710
!= ( produc1990145943term_b @ SY1017 @ SV638 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3996]) ).
thf(4072,plain,
! [SV638: allegorical_term_b,SV710: produc1478835367term_b] :
( ( ( ~ ! [SY1017: allegorical_term_b] :
( SV710
!= ( produc1990145943term_b @ SY1017 @ SV638 ) ) )
= $false )
| ( ( ~ ( ( SV638
!= ( produc1223098053term_b @ SV710 ) )
| ~ ~ ! [SY1017: allegorical_term_b] :
( SV710
!= ( produc1990145943term_b @ SY1017 @ SV638 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3996]) ).
thf(4073,plain,
! [SV711: produc1235635379_b_nat,SV639: produc1235635379_b_nat] :
( ( ( ( produc194497945_b_nat @ SV639 )
= ( produc194497945_b_nat @ SV711 ) )
= $false )
| ( ( SV639 = SV711 )
= $true )
| ( ( ( produc1542243159_b_nat @ SV639 )
= ( produc1542243159_b_nat @ SV711 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3997]) ).
thf(4074,plain,
! [SV795: allegorical_term_b,SV766: set_Pr1163220871term_b,SV712: allegorical_term_b,SV640: allegorical_term_b] :
( ( ( member516522448term_b @ ( produc1990145943term_b @ SV640 @ SV712 ) @ SV766 )
= $false )
| ( ( ( SV795 != SV712 )
| ( member516522448term_b @ ( produc1990145943term_b @ SV640 @ SV795 ) @ SV766 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3998]) ).
thf(4075,plain,
! [SV713: produc1478835367term_b,SV641: produc1478835367term_b > $o] :
( ( ( SV641 @ ( produc1990145943term_b @ ( sK91_SY899 @ SV713 @ SV641 ) @ ( sK95_SY1101 @ SV713 @ SV641 ) ) )
= $false )
| ( ( SV641 @ SV713 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[3999]) ).
thf(4076,plain,
! [SV796: labeled_graph_b_nat,SV767: labeled_graph_b_nat,SV714: labeled_graph_b_nat,SV642: labeled_graph_b_nat] :
( ( ( ( produc951298923_b_nat @ SV642 @ SV714 )
= ( produc951298923_b_nat @ SV767 @ SV796 ) )
= $false )
| ( ( ~ ( ( SV642 != SV767 )
| ( SV714 != SV796 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4000]) ).
thf(4077,plain,
! [SV797: allegorical_term_b,SV768: allegorical_term_b,SV715: allegorical_term_b,SV643: allegorical_term_b] :
( ( ( ( produc1990145943term_b @ SV643 @ SV715 )
= ( produc1990145943term_b @ SV768 @ SV797 ) )
= $false )
| ( ( ~ ( ( SV643 != SV768 )
| ( SV715 != SV797 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4001]) ).
thf(4078,plain,
! [SV798: produc1235635379_b_nat,SV716: produc1235635379_b_nat] :
( ( ( ~ ( ( SV716 = SV798 )
| ~ ( ( ( produc1542243159_b_nat @ SV716 )
!= ( produc1542243159_b_nat @ SV798 ) )
| ( ( produc194497945_b_nat @ SV716 )
!= ( produc194497945_b_nat @ SV798 ) ) ) ) )
= $true )
| ( ( ~ ( ( SV716 != SV798 )
| ~ ~ ( ( ( produc1542243159_b_nat @ SV716 )
!= ( produc1542243159_b_nat @ SV798 ) )
| ( ( produc194497945_b_nat @ SV716 )
!= ( produc194497945_b_nat @ SV798 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4002]) ).
thf(4079,plain,
! [SV812: set_Pr1986765409at_nat,SV799: labeled_graph_b_nat,SV770: set_Pr1986765409at_nat,SV717: labeled_graph_b_nat,SV645: labeled_graph_b_nat] :
( ( ( ~ ( graph_529870330at_nat @ SV645 @ SV717 @ SV770 ) )
= $true )
| ( ( ~ ( graph_529870330at_nat @ SV717 @ SV799 @ SV812 )
| ( graph_529870330at_nat @ SV645 @ SV799 @ ( relcomp_nat_nat_nat @ SV770 @ SV812 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4004]) ).
thf(4080,plain,
! [SV800: set_Pr1986765409at_nat,SV771: labeled_graph_b_nat,SV718: labeled_graph_b_nat,SV646: labeled_graph_b_nat] :
( ( ( graph_529870330at_nat @ SV646 @ SV718 @ ( id_on_nat @ ( labele460410879_b_nat @ SV646 ) ) )
= $false )
| ( ( ~ ( graph_529870330at_nat @ SV771 @ SV646 @ SV800 )
| ( graph_529870330at_nat @ SV771 @ SV718 @ SV800 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4005]) ).
thf(4081,plain,
! [SV647: b] :
( ( ~ ~ ( ~ ( graph_529870330at_nat @ ( produc1542243159_b_nat @ ( standa1360217389rule_b @ SV647 ) ) @ ( produc194497945_b_nat @ ( standa1360217389rule_b @ SV647 ) ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ ( standa1360217389rule_b @ SV647 ) ) ) ) )
| ( ( produc194497945_b_nat @ ( standa1360217389rule_b @ SV647 ) )
!= ( restrict_b_nat @ ( produc194497945_b_nat @ ( standa1360217389rule_b @ SV647 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[4006]) ).
thf(4082,plain,
! [SV647: b] :
( ( ~ ( finite_finite_nat @ ( labele460410879_b_nat @ ( produc194497945_b_nat @ ( standa1360217389rule_b @ SV647 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[4006]) ).
thf(4083,plain,
! [SV801: allegorical_term_b,SV772: allegorical_term_b,SV719: allegorical_term_b,SV648: allegorical_term_b] :
( ( ( ~ ( ( ( allegorical_A_Int_b @ SV648 @ SV719 )
= ( allegorical_A_Int_b @ SV772 @ SV801 ) )
| ~ ( ( SV648 != SV772 )
| ( SV719 != SV801 ) ) ) )
= $true )
| ( ( ~ ( ( ( allegorical_A_Int_b @ SV648 @ SV719 )
!= ( allegorical_A_Int_b @ SV772 @ SV801 ) )
| ~ ~ ( ( SV648 != SV772 )
| ( SV719 != SV801 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4007]) ).
thf(4084,plain,
! [SV802: allegorical_term_b,SV773: allegorical_term_b,SV720: allegorical_term_b,SV649: allegorical_term_b] :
( ( ( ~ ( ( ( produc1990145943term_b @ SV649 @ SV720 )
= ( produc1990145943term_b @ SV773 @ SV802 ) )
| ~ ( ( SV649 != SV773 )
| ( SV720 != SV802 ) ) ) )
= $true )
| ( ( ~ ( ( ( produc1990145943term_b @ SV649 @ SV720 )
!= ( produc1990145943term_b @ SV773 @ SV802 ) )
| ~ ~ ( ( SV649 != SV773 )
| ( SV720 != SV802 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4009]) ).
thf(4085,plain,
! [SV803: allegorical_term_b,SV774: allegorical_term_b > $o,SV721: allegorical_term_b,SV650: allegorical_term_b > $o] :
( ( ( SV650 @ SV721 )
= $false )
| ( ( ~ ( SV774 @ SV803 )
| ~ ( ~ ( SV650 @ ( produc854192515term_b @ ( produc1990145943term_b @ SV721 @ SV803 ) ) )
| ~ ( SV774 @ ( produc1223098053term_b @ ( produc1990145943term_b @ SV721 @ SV803 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4011]) ).
thf(4086,plain,
! [SV651: b] :
( ( ~ ~ ( ~ ( graph_529870330at_nat @ ( produc1542243159_b_nat @ ( standa1329480013rule_b @ SV651 ) ) @ ( produc194497945_b_nat @ ( standa1329480013rule_b @ SV651 ) ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ ( standa1329480013rule_b @ SV651 ) ) ) ) )
| ( ( produc194497945_b_nat @ ( standa1329480013rule_b @ SV651 ) )
!= ( restrict_b_nat @ ( produc194497945_b_nat @ ( standa1329480013rule_b @ SV651 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[4012]) ).
thf(4087,plain,
! [SV651: b] :
( ( ~ ( finite_finite_nat @ ( labele460410879_b_nat @ ( produc194497945_b_nat @ ( standa1329480013rule_b @ SV651 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[4012]) ).
thf(4088,plain,
( ( ~ ( ~ ( graph_529870330at_nat @ ( produc1542243159_b_nat @ standa879863266rule_b ) @ ( produc194497945_b_nat @ standa879863266rule_b ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ standa879863266rule_b ) ) ) )
| ( ( produc194497945_b_nat @ standa879863266rule_b )
!= ( restrict_b_nat @ ( produc194497945_b_nat @ standa879863266rule_b ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[4013]) ).
thf(4089,plain,
( ( finite_finite_nat @ ( labele460410879_b_nat @ ( produc194497945_b_nat @ standa879863266rule_b ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[4014]) ).
thf(4090,plain,
! [SV653: produc1478835367term_b] :
( ( SV653
!= ( produc1990145943term_b @ ( sK85_SY927 @ SV653 ) @ ( sK96_SY1089 @ SV653 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[4016]) ).
thf(4091,plain,
! [SV723: produc1478835367term_b,SV654: produc1478835367term_b] :
( ( ( ( produc854192515term_b @ SV654 )
!= ( produc854192515term_b @ SV723 ) )
= $true )
| ( ( ( produc1223098053term_b @ SV654 )
!= ( produc1223098053term_b @ SV723 ) )
= $true )
| ( ( SV654 = SV723 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4017]) ).
thf(4092,plain,
! [SV655: set_Pr9961929at_nat,SV724: set_Pr9961929at_nat] :
( ( ( finite1987068434at_nat @ SV724 )
= $false )
| ( ( finite1987068434at_nat @ SV655 )
= $true )
| ( ( ord_le910748009at_nat @ SV655 @ SV724 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4018]) ).
thf(4093,plain,
! [SV726: labeled_graph_b_nat,SV657: labeled_graph_b_nat] :
( ( ( ( labeled_edges_b_nat @ SV657 )
!= ( labeled_edges_b_nat @ SV726 ) )
= $true )
| ( ( ( labele460410879_b_nat @ SV657 )
!= ( labele460410879_b_nat @ SV726 ) )
= $true )
| ( ( SV657 = SV726 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4020]) ).
thf(4094,plain,
! [SV728: set_nat,SV659: set_nat] :
( ( ( ~ ( finite_finite_nat @ SV659 ) )
= $false )
| ( ( ~ ( finite_finite_nat @ SV728 ) )
= $true )
| ( ( ord_less_eq_set_nat @ SV659 @ SV728 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4021]) ).
thf(4095,plain,
! [SV804: produc1235635379_b_nat,SV777: labeled_graph_b_nat,SV729: labeled_graph_b_nat,SV660: labeled_graph_b_nat > labeled_graph_b_nat > $o] :
( ( ( SV660 @ SV729 @ SV777 )
= $false )
| ( ( ( SV804
!= ( produc951298923_b_nat @ SV729 @ SV777 ) )
| ( SV660 @ ( produc1542243159_b_nat @ SV804 ) @ ( produc194497945_b_nat @ SV804 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4022]) ).
thf(4096,plain,
! [SV805: produc1478835367term_b,SV730: produc1478835367term_b] :
( ( ( ~ ( ( SV730 = SV805 )
| ~ ( ( ( produc854192515term_b @ SV730 )
!= ( produc854192515term_b @ SV805 ) )
| ( ( produc1223098053term_b @ SV730 )
!= ( produc1223098053term_b @ SV805 ) ) ) ) )
= $true )
| ( ( ~ ( ( SV730 != SV805 )
| ~ ~ ( ( ( produc854192515term_b @ SV730 )
!= ( produc854192515term_b @ SV805 ) )
| ( ( produc1223098053term_b @ SV730 )
!= ( produc1223098053term_b @ SV805 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4023]) ).
thf(4097,plain,
! [SV806: labeled_graph_b_nat,SV779: labeled_graph_b_nat,SV731: labeled_graph_b_nat,SV662: labeled_graph_b_nat] :
( ( ( ~ ( ( ( produc951298923_b_nat @ SV662 @ SV731 )
= ( produc951298923_b_nat @ SV779 @ SV806 ) )
| ~ ( ( SV662 != SV779 )
| ( SV731 != SV806 ) ) ) )
= $true )
| ( ( ~ ( ( ( produc951298923_b_nat @ SV662 @ SV731 )
!= ( produc951298923_b_nat @ SV779 @ SV806 ) )
| ~ ~ ( ( SV662 != SV779 )
| ( SV731 != SV806 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4025]) ).
thf(4098,plain,
! [SV733: produc1235635379_b_nat,SV665: labeled_graph_b_nat] :
( ( ( SV665
= ( produc194497945_b_nat @ SV733 ) )
= $false )
| ( ( ~ ( ( SV665
!= ( produc194497945_b_nat @ SV733 ) )
| ~ ~ ! [SY1048: labeled_graph_b_nat] :
( SV733
!= ( produc951298923_b_nat @ SY1048 @ SV665 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4029]) ).
thf(4099,plain,
! [SV665: labeled_graph_b_nat,SV733: produc1235635379_b_nat] :
( ( ( ~ ! [SY1048: labeled_graph_b_nat] :
( SV733
!= ( produc951298923_b_nat @ SY1048 @ SV665 ) ) )
= $false )
| ( ( ~ ( ( SV665
!= ( produc194497945_b_nat @ SV733 ) )
| ~ ~ ! [SY1048: labeled_graph_b_nat] :
( SV733
!= ( produc951298923_b_nat @ SY1048 @ SV665 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4029]) ).
thf(4100,plain,
! [SV734: produc1478835367term_b,SV666: produc1478835367term_b] :
( ( ( ( produc1223098053term_b @ SV666 )
= ( produc1223098053term_b @ SV734 ) )
= $false )
| ( ( SV666 = SV734 )
= $true )
| ( ( ( produc854192515term_b @ SV666 )
= ( produc854192515term_b @ SV734 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4030]) ).
thf(4101,plain,
! [SV735: allegorical_term_b,SV667: allegorical_term_b] :
( ( ~ ~ ( ~ ( graph_529870330at_nat @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV667 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV667 @ SV735 ) ) ) ) @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV667 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV667 @ SV735 ) ) ) ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV667 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV667 @ SV735 ) ) ) ) ) ) )
| ( ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV667 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV667 @ SV735 ) ) ) )
!= ( restrict_b_nat @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV667 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV667 @ SV735 ) ) ) ) ) ) )
| ~ ( finite_finite_nat @ ( labele460410879_b_nat @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV667 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV667 @ SV735 ) ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[4031]) ).
thf(4102,plain,
! [SV737: produc1235635379_b_nat,SV669: labeled_graph_b_nat] :
( ( ( SV669
= ( produc1542243159_b_nat @ SV737 ) )
= $false )
| ( ( ~ ( ( SV669
!= ( produc1542243159_b_nat @ SV737 ) )
| ~ ~ ! [SY1050: labeled_graph_b_nat] :
( SV737
!= ( produc951298923_b_nat @ SV669 @ SY1050 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4034]) ).
thf(4103,plain,
! [SV669: labeled_graph_b_nat,SV737: produc1235635379_b_nat] :
( ( ( ~ ! [SY1050: labeled_graph_b_nat] :
( SV737
!= ( produc951298923_b_nat @ SV669 @ SY1050 ) ) )
= $false )
| ( ( ~ ( ( SV669
!= ( produc1542243159_b_nat @ SV737 ) )
| ~ ~ ! [SY1050: labeled_graph_b_nat] :
( SV737
!= ( produc951298923_b_nat @ SV669 @ SY1050 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4034]) ).
thf(4104,plain,
! [SV738: produc1235635379_b_nat,SV670: produc1235635379_b_nat > $o] :
( ( ( SV670 @ ( produc951298923_b_nat @ ( sK92_SY955 @ SV738 @ SV670 ) @ ( sK97_SY1102 @ SV738 @ SV670 ) ) )
= $false )
| ( ( SV670 @ SV738 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[4035]) ).
thf(4105,plain,
! [SV739: labeled_graph_b_nat,SV671: labeled_graph_b_nat] :
( ( ( graph_529870330at_nat @ SV671 @ SV739 @ ( id_on_nat @ ( labele460410879_b_nat @ SV671 ) ) )
= $false )
| ( ( ~ ( ~ ( graph_529870330at_nat @ SV671 @ SV739 @ ( id_on_nat @ ( labele460410879_b_nat @ SV671 ) ) )
| ~ ~ ( ~ ~ ( ( SV671
!= ( restrict_b_nat @ SV671 ) )
| ( SV739
!= ( restrict_b_nat @ SV739 ) ) )
| ( ( graph_union_b_nat @ SV671 @ SV739 )
!= SV739 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4036]) ).
thf(4106,plain,
! [SV739: labeled_graph_b_nat,SV671: labeled_graph_b_nat] :
( ( ( ~ ( ~ ~ ( ( SV671
!= ( restrict_b_nat @ SV671 ) )
| ( SV739
!= ( restrict_b_nat @ SV739 ) ) )
| ( ( graph_union_b_nat @ SV671 @ SV739 )
!= SV739 ) ) )
= $false )
| ( ( ~ ( ~ ( graph_529870330at_nat @ SV671 @ SV739 @ ( id_on_nat @ ( labele460410879_b_nat @ SV671 ) ) )
| ~ ~ ( ~ ~ ( ( SV671
!= ( restrict_b_nat @ SV671 ) )
| ( SV739
!= ( restrict_b_nat @ SV739 ) ) )
| ( ( graph_union_b_nat @ SV671 @ SV739 )
!= SV739 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4036]) ).
thf(4107,plain,
! [SV740: produc1235635379_b_nat,SV673: labeled_graph_b_nat > labeled_graph_b_nat > $o] :
( ( ( ! [SY1105: labeled_graph_b_nat] :
~ ( SV673 @ SY1105 @ ( sK98_SY959 @ SV740 @ SV673 ) ) )
= $false )
| ( ( SV673 @ ( produc194497945_b_nat @ SV740 ) @ ( produc1542243159_b_nat @ SV740 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[4038]) ).
thf(4108,plain,
! [SV674: labeled_graph_b_nat,SV741: labeled_graph_b_nat] :
( ( ( SV741
= ( restrict_b_nat @ SV741 ) )
= $false )
| ( ( ( graph_union_b_nat @ SV674 @ SV741 )
= ( restrict_b_nat @ ( graph_union_b_nat @ SV674 @ SV741 ) ) )
= $true )
| ( ( SV674
= ( restrict_b_nat @ SV674 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4039]) ).
thf(4109,plain,
! [SV807: labeled_graph_b_nat,SV783: labeled_graph_b_nat,SV744: labeled_graph_b_nat,SV678: labeled_graph_b_nat] :
( ( ( ~ ( ( ( produc951298923_b_nat @ SV678 @ SV744 )
= ( produc951298923_b_nat @ SV783 @ SV807 ) )
| ~ ( ( SV678 != SV783 )
| ( SV744 != SV807 ) ) ) )
= $true )
| ( ( ~ ( ( ( produc951298923_b_nat @ SV678 @ SV744 )
!= ( produc951298923_b_nat @ SV783 @ SV807 ) )
| ~ ~ ( ( SV678 != SV783 )
| ( SV744 != SV807 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4042]) ).
thf(4110,plain,
! [SV808: produc1478835367term_b,SV784: allegorical_term_b,SV745: allegorical_term_b,SV679: allegorical_term_b > allegorical_term_b > $o] :
( ( ( SV679 @ SV745 @ SV784 )
= $false )
| ( ( ( SV808
!= ( produc1990145943term_b @ SV745 @ SV784 ) )
| ( SV679 @ ( produc854192515term_b @ SV808 ) @ ( produc1223098053term_b @ SV808 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4044]) ).
thf(4111,plain,
! [SV683: produc1235635379_b_nat] :
( ( SV683
!= ( produc951298923_b_nat @ ( sK87_SY977 @ SV683 ) @ ( sK99_SY1095 @ SV683 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[4047]) ).
thf(4112,plain,
! [SV684: set_nat,SV748: set_nat] :
( ( ( ord_less_eq_set_nat @ SV748 @ SV684 )
= $false )
| ( ( finite_finite_nat @ SV748 )
= $true )
| ( ( finite_finite_nat @ SV684 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4048]) ).
thf(4113,plain,
! [SV749: produc1235635379_b_nat,SV685: produc1235635379_b_nat] :
( ( ( ( produc1542243159_b_nat @ SV685 )
!= ( produc1542243159_b_nat @ SV749 ) )
= $true )
| ( ( ( produc194497945_b_nat @ SV685 )
!= ( produc194497945_b_nat @ SV749 ) )
= $true )
| ( ( SV685 = SV749 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4049]) ).
thf(4114,plain,
! [SV809: labeled_graph_b_nat,SV787: set_Pr551076371_b_nat,SV750: labeled_graph_b_nat,SV686: labeled_graph_b_nat] :
( ( ( member963855452_b_nat @ ( produc951298923_b_nat @ SV686 @ SV750 ) @ SV787 )
= $false )
| ( ( ( SV809 != SV750 )
| ( member963855452_b_nat @ ( produc951298923_b_nat @ SV686 @ SV809 ) @ SV787 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4050]) ).
thf(4115,plain,
! [SV751: produc1478835367term_b,SV687: produc1478835367term_b > $o] :
( ( ( SV687 @ ( produc1990145943term_b @ ( sK93_SY985 @ SV751 @ SV687 ) @ ( sK100_SY1103 @ SV751 @ SV687 ) ) )
= $false )
| ( ( SV687 @ SV751 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[4051]) ).
thf(4116,plain,
! [SV688: set_Pr9961929at_nat,SV752: set_Pr9961929at_nat] :
( ( ( ord_le910748009at_nat @ SV752 @ SV688 )
= $false )
| ( ( finite1987068434at_nat @ SV752 )
= $true )
| ( ( finite1987068434at_nat @ SV688 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4052]) ).
thf(4117,plain,
! [SV690: set_nat,SV754: set_nat] :
( ( ( finite_finite_nat @ SV754 )
= $false )
| ( ( finite_finite_nat @ SV690 )
= $true )
| ( ( ord_less_eq_set_nat @ SV690 @ SV754 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4053]) ).
thf(4118,plain,
! [SV691: labeled_graph_b_nat,SV788: labeled_graph_b_nat,SV755: labeled_graph_b_nat] :
( ( ( ~ ( graph_529870330at_nat @ SV755 @ SV788 @ ( id_on_nat @ ( labele460410879_b_nat @ SV755 ) ) ) )
= $true )
| ( ( graph_529870330at_nat @ SV691 @ SV788 @ ( id_on_nat @ ( labele460410879_b_nat @ SV691 ) ) )
= $true )
| ( ( graph_529870330at_nat @ SV691 @ SV755 @ ( id_on_nat @ ( labele460410879_b_nat @ SV691 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4054]) ).
thf(4119,plain,
! [SV810: labeled_graph_b_nat,SV790: labeled_graph_b_nat > $o,SV757: labeled_graph_b_nat,SV694: labeled_graph_b_nat > $o] :
( ( ( SV694 @ SV757 )
= $false )
| ( ( ~ ( SV790 @ SV810 )
| ~ ( ~ ( SV694 @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ SV757 @ SV810 ) ) )
| ~ ( SV790 @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ SV757 @ SV810 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4057]) ).
thf(4120,plain,
! [SV759: set_Pr9961929at_nat,SV696: set_Pr9961929at_nat] :
( ( ( ~ ( finite1987068434at_nat @ SV696 ) )
= $false )
| ( ( ~ ( finite1987068434at_nat @ SV759 ) )
= $true )
| ( ( ord_le910748009at_nat @ SV696 @ SV759 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4059]) ).
thf(4121,plain,
! [SV760: produc1478835367term_b,SV697: allegorical_term_b > allegorical_term_b > $o] :
( ( ( ! [SY1106: allegorical_term_b] :
~ ( SV697 @ SY1106 @ ( sK101_SY1003 @ SV760 @ SV697 ) ) )
= $false )
| ( ( SV697 @ ( produc1223098053term_b @ SV760 ) @ ( produc854192515term_b @ SV760 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[4060]) ).
thf(4122,plain,
! [SV811: allegorical_term_b,SV792: allegorical_term_b,SV761: allegorical_term_b,SV698: allegorical_term_b] :
( ( ( ~ ( ( ( produc1990145943term_b @ SV698 @ SV761 )
= ( produc1990145943term_b @ SV792 @ SV811 ) )
| ~ ( ( SV698 != SV792 )
| ( SV761 != SV811 ) ) ) )
= $true )
| ( ( ~ ( ( ( produc1990145943term_b @ SV698 @ SV761 )
!= ( produc1990145943term_b @ SV792 @ SV811 ) )
| ~ ~ ( ( SV698 != SV792 )
| ( SV761 != SV811 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4061]) ).
thf(4123,plain,
! [SV763: produc1235635379_b_nat,SV700: produc1235635379_b_nat > $o] :
( ( ( SV700 @ ( produc951298923_b_nat @ ( sK94_SY1011 @ SV763 @ SV700 ) @ ( sK102_SY1104 @ SV763 @ SV700 ) ) )
= $false )
| ( ( SV700 @ SV763 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[4064]) ).
thf(4124,plain,
! [SV765: produc1478835367term_b,SV702: allegorical_term_b] :
( ( ( SV702
= ( produc854192515term_b @ SV765 ) )
= $false )
| ( ( ~ ( ( SV702
!= ( produc854192515term_b @ SV765 ) )
| ~ ~ ! [SY1079: allegorical_term_b] :
( SV765
!= ( produc1990145943term_b @ SV702 @ SY1079 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4066]) ).
thf(4125,plain,
! [SV702: allegorical_term_b,SV765: produc1478835367term_b] :
( ( ( ~ ! [SY1079: allegorical_term_b] :
( SV765
!= ( produc1990145943term_b @ SV702 @ SY1079 ) ) )
= $false )
| ( ( ~ ( ( SV702
!= ( produc854192515term_b @ SV765 ) )
| ~ ~ ! [SY1079: allegorical_term_b] :
( SV765
!= ( produc1990145943term_b @ SV702 @ SY1079 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4066]) ).
thf(4126,plain,
! [SV613: labeled_graph_b_nat] :
( ( ( ~ ( graph_529870330at_nat @ SV613 @ SV613 @ ( id_on_nat @ ( labele460410879_b_nat @ SV613 ) ) ) )
= $false )
| ( ( graph_529870330at_nat @ SV613 @ SV613 @ ( id_on_nat @ ( labele460410879_b_nat @ SV613 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4067]) ).
thf(4127,plain,
! [SV613: labeled_graph_b_nat] :
( ( ( SV613
!= ( restrict_b_nat @ SV613 ) )
= $false )
| ( ( graph_529870330at_nat @ SV613 @ SV613 @ ( id_on_nat @ ( labele460410879_b_nat @ SV613 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4067]) ).
thf(4128,plain,
! [SV613: labeled_graph_b_nat] :
( ( ( ~ ( graph_529870330at_nat @ SV613 @ SV613 @ ( id_on_nat @ ( labele460410879_b_nat @ SV613 ) ) ) )
= $false )
| ( ( SV613
= ( restrict_b_nat @ SV613 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4068]) ).
thf(4129,plain,
! [SV613: labeled_graph_b_nat] :
( ( ( SV613
!= ( restrict_b_nat @ SV613 ) )
= $false )
| ( ( SV613
= ( restrict_b_nat @ SV613 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4068]) ).
thf(4130,plain,
! [SV614: labeled_graph_b_nat] :
( ( ( ~ ( graph_529870330at_nat @ SV614 @ ( restrict_b_nat @ SV614 ) @ ( id_on_nat @ ( labele460410879_b_nat @ SV614 ) ) ) )
= $false )
| ( ( graph_529870330at_nat @ SV614 @ ( restrict_b_nat @ SV614 ) @ ( id_on_nat @ ( labele460410879_b_nat @ SV614 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4069]) ).
thf(4131,plain,
! [SV614: labeled_graph_b_nat] :
( ( ( SV614
!= ( restrict_b_nat @ SV614 ) )
= $false )
| ( ( graph_529870330at_nat @ SV614 @ ( restrict_b_nat @ SV614 ) @ ( id_on_nat @ ( labele460410879_b_nat @ SV614 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4069]) ).
thf(4132,plain,
! [SV614: labeled_graph_b_nat] :
( ( ( ~ ( graph_529870330at_nat @ SV614 @ ( restrict_b_nat @ SV614 ) @ ( id_on_nat @ ( labele460410879_b_nat @ SV614 ) ) ) )
= $false )
| ( ( SV614
= ( restrict_b_nat @ SV614 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4070]) ).
thf(4133,plain,
! [SV614: labeled_graph_b_nat] :
( ( ( SV614
!= ( restrict_b_nat @ SV614 ) )
= $false )
| ( ( SV614
= ( restrict_b_nat @ SV614 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4070]) ).
thf(4134,plain,
! [SV710: produc1478835367term_b,SV638: allegorical_term_b] :
( ( ( ( SV638
!= ( produc1223098053term_b @ SV710 ) )
| ~ ~ ! [SY1017: allegorical_term_b] :
( SV710
!= ( produc1990145943term_b @ SY1017 @ SV638 ) ) )
= $false )
| ( ( SV638
= ( produc1223098053term_b @ SV710 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4071]) ).
thf(4135,plain,
! [SV638: allegorical_term_b,SV710: produc1478835367term_b] :
( ( ( ! [SY1017: allegorical_term_b] :
( SV710
!= ( produc1990145943term_b @ SY1017 @ SV638 ) ) )
= $true )
| ( ( ~ ( ( SV638
!= ( produc1223098053term_b @ SV710 ) )
| ~ ~ ! [SY1017: allegorical_term_b] :
( SV710
!= ( produc1990145943term_b @ SY1017 @ SV638 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4072]) ).
thf(4136,plain,
! [SV766: set_Pr1163220871term_b,SV640: allegorical_term_b,SV712: allegorical_term_b,SV795: allegorical_term_b] :
( ( ( SV795 != SV712 )
= $true )
| ( ( member516522448term_b @ ( produc1990145943term_b @ SV640 @ SV795 ) @ SV766 )
= $true )
| ( ( member516522448term_b @ ( produc1990145943term_b @ SV640 @ SV712 ) @ SV766 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4074]) ).
thf(4137,plain,
! [SV796: labeled_graph_b_nat,SV714: labeled_graph_b_nat,SV767: labeled_graph_b_nat,SV642: labeled_graph_b_nat] :
( ( ( ( SV642 != SV767 )
| ( SV714 != SV796 ) )
= $false )
| ( ( ( produc951298923_b_nat @ SV642 @ SV714 )
= ( produc951298923_b_nat @ SV767 @ SV796 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4076]) ).
thf(4138,plain,
! [SV797: allegorical_term_b,SV715: allegorical_term_b,SV768: allegorical_term_b,SV643: allegorical_term_b] :
( ( ( ( SV643 != SV768 )
| ( SV715 != SV797 ) )
= $false )
| ( ( ( produc1990145943term_b @ SV643 @ SV715 )
= ( produc1990145943term_b @ SV768 @ SV797 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4077]) ).
thf(4139,plain,
! [SV798: produc1235635379_b_nat,SV716: produc1235635379_b_nat] :
( ( ( ( SV716 = SV798 )
| ~ ( ( ( produc1542243159_b_nat @ SV716 )
!= ( produc1542243159_b_nat @ SV798 ) )
| ( ( produc194497945_b_nat @ SV716 )
!= ( produc194497945_b_nat @ SV798 ) ) ) )
= $false )
| ( ( ~ ( ( SV716 != SV798 )
| ~ ~ ( ( ( produc1542243159_b_nat @ SV716 )
!= ( produc1542243159_b_nat @ SV798 ) )
| ( ( produc194497945_b_nat @ SV716 )
!= ( produc194497945_b_nat @ SV798 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4078]) ).
thf(4140,plain,
! [SV812: set_Pr1986765409at_nat,SV799: labeled_graph_b_nat,SV770: set_Pr1986765409at_nat,SV717: labeled_graph_b_nat,SV645: labeled_graph_b_nat] :
( ( ( graph_529870330at_nat @ SV645 @ SV717 @ SV770 )
= $false )
| ( ( ~ ( graph_529870330at_nat @ SV717 @ SV799 @ SV812 )
| ( graph_529870330at_nat @ SV645 @ SV799 @ ( relcomp_nat_nat_nat @ SV770 @ SV812 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4079]) ).
thf(4141,plain,
! [SV718: labeled_graph_b_nat,SV800: set_Pr1986765409at_nat,SV646: labeled_graph_b_nat,SV771: labeled_graph_b_nat] :
( ( ( ~ ( graph_529870330at_nat @ SV771 @ SV646 @ SV800 ) )
= $true )
| ( ( graph_529870330at_nat @ SV771 @ SV718 @ SV800 )
= $true )
| ( ( graph_529870330at_nat @ SV646 @ SV718 @ ( id_on_nat @ ( labele460410879_b_nat @ SV646 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4080]) ).
thf(4142,plain,
! [SV647: b] :
( ( ~ ( ~ ( graph_529870330at_nat @ ( produc1542243159_b_nat @ ( standa1360217389rule_b @ SV647 ) ) @ ( produc194497945_b_nat @ ( standa1360217389rule_b @ SV647 ) ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ ( standa1360217389rule_b @ SV647 ) ) ) ) )
| ( ( produc194497945_b_nat @ ( standa1360217389rule_b @ SV647 ) )
!= ( restrict_b_nat @ ( produc194497945_b_nat @ ( standa1360217389rule_b @ SV647 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[4081]) ).
thf(4143,plain,
! [SV647: b] :
( ( finite_finite_nat @ ( labele460410879_b_nat @ ( produc194497945_b_nat @ ( standa1360217389rule_b @ SV647 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[4082]) ).
thf(4144,plain,
! [SV801: allegorical_term_b,SV772: allegorical_term_b,SV719: allegorical_term_b,SV648: allegorical_term_b] :
( ( ( ( ( allegorical_A_Int_b @ SV648 @ SV719 )
= ( allegorical_A_Int_b @ SV772 @ SV801 ) )
| ~ ( ( SV648 != SV772 )
| ( SV719 != SV801 ) ) )
= $false )
| ( ( ~ ( ( ( allegorical_A_Int_b @ SV648 @ SV719 )
!= ( allegorical_A_Int_b @ SV772 @ SV801 ) )
| ~ ~ ( ( SV648 != SV772 )
| ( SV719 != SV801 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4083]) ).
thf(4145,plain,
! [SV802: allegorical_term_b,SV773: allegorical_term_b,SV720: allegorical_term_b,SV649: allegorical_term_b] :
( ( ( ( ( produc1990145943term_b @ SV649 @ SV720 )
= ( produc1990145943term_b @ SV773 @ SV802 ) )
| ~ ( ( SV649 != SV773 )
| ( SV720 != SV802 ) ) )
= $false )
| ( ( ~ ( ( ( produc1990145943term_b @ SV649 @ SV720 )
!= ( produc1990145943term_b @ SV773 @ SV802 ) )
| ~ ~ ( ( SV649 != SV773 )
| ( SV720 != SV802 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4084]) ).
thf(4146,plain,
! [SV721: allegorical_term_b,SV650: allegorical_term_b > $o,SV803: allegorical_term_b,SV774: allegorical_term_b > $o] :
( ( ( ~ ( SV774 @ SV803 ) )
= $true )
| ( ( ~ ( ~ ( SV650 @ ( produc854192515term_b @ ( produc1990145943term_b @ SV721 @ SV803 ) ) )
| ~ ( SV774 @ ( produc1223098053term_b @ ( produc1990145943term_b @ SV721 @ SV803 ) ) ) ) )
= $true )
| ( ( SV650 @ SV721 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4085]) ).
thf(4147,plain,
! [SV651: b] :
( ( ~ ( ~ ( graph_529870330at_nat @ ( produc1542243159_b_nat @ ( standa1329480013rule_b @ SV651 ) ) @ ( produc194497945_b_nat @ ( standa1329480013rule_b @ SV651 ) ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ ( standa1329480013rule_b @ SV651 ) ) ) ) )
| ( ( produc194497945_b_nat @ ( standa1329480013rule_b @ SV651 ) )
!= ( restrict_b_nat @ ( produc194497945_b_nat @ ( standa1329480013rule_b @ SV651 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[4086]) ).
thf(4148,plain,
! [SV651: b] :
( ( finite_finite_nat @ ( labele460410879_b_nat @ ( produc194497945_b_nat @ ( standa1329480013rule_b @ SV651 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[4087]) ).
thf(4149,plain,
( ( ~ ( graph_529870330at_nat @ ( produc1542243159_b_nat @ standa879863266rule_b ) @ ( produc194497945_b_nat @ standa879863266rule_b ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ standa879863266rule_b ) ) ) )
| ( ( produc194497945_b_nat @ standa879863266rule_b )
!= ( restrict_b_nat @ ( produc194497945_b_nat @ standa879863266rule_b ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[4088]) ).
thf(4150,plain,
! [SV653: produc1478835367term_b] :
( ( SV653
= ( produc1990145943term_b @ ( sK85_SY927 @ SV653 ) @ ( sK96_SY1089 @ SV653 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[4090]) ).
thf(4151,plain,
! [SV723: produc1478835367term_b,SV654: produc1478835367term_b] :
( ( ( ( produc854192515term_b @ SV654 )
= ( produc854192515term_b @ SV723 ) )
= $false )
| ( ( ( produc1223098053term_b @ SV654 )
!= ( produc1223098053term_b @ SV723 ) )
= $true )
| ( ( SV654 = SV723 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4091]) ).
thf(4152,plain,
! [SV726: labeled_graph_b_nat,SV657: labeled_graph_b_nat] :
( ( ( ( labeled_edges_b_nat @ SV657 )
= ( labeled_edges_b_nat @ SV726 ) )
= $false )
| ( ( ( labele460410879_b_nat @ SV657 )
!= ( labele460410879_b_nat @ SV726 ) )
= $true )
| ( ( SV657 = SV726 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4093]) ).
thf(4153,plain,
! [SV728: set_nat,SV659: set_nat] :
( ( ( finite_finite_nat @ SV659 )
= $true )
| ( ( ~ ( finite_finite_nat @ SV728 ) )
= $true )
| ( ( ord_less_eq_set_nat @ SV659 @ SV728 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4094]) ).
thf(4154,plain,
! [SV660: labeled_graph_b_nat > labeled_graph_b_nat > $o,SV777: labeled_graph_b_nat,SV729: labeled_graph_b_nat,SV804: produc1235635379_b_nat] :
( ( ( SV804
!= ( produc951298923_b_nat @ SV729 @ SV777 ) )
= $true )
| ( ( SV660 @ ( produc1542243159_b_nat @ SV804 ) @ ( produc194497945_b_nat @ SV804 ) )
= $true )
| ( ( SV660 @ SV729 @ SV777 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4095]) ).
thf(4155,plain,
! [SV805: produc1478835367term_b,SV730: produc1478835367term_b] :
( ( ( ( SV730 = SV805 )
| ~ ( ( ( produc854192515term_b @ SV730 )
!= ( produc854192515term_b @ SV805 ) )
| ( ( produc1223098053term_b @ SV730 )
!= ( produc1223098053term_b @ SV805 ) ) ) )
= $false )
| ( ( ~ ( ( SV730 != SV805 )
| ~ ~ ( ( ( produc854192515term_b @ SV730 )
!= ( produc854192515term_b @ SV805 ) )
| ( ( produc1223098053term_b @ SV730 )
!= ( produc1223098053term_b @ SV805 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4096]) ).
thf(4156,plain,
! [SV806: labeled_graph_b_nat,SV779: labeled_graph_b_nat,SV731: labeled_graph_b_nat,SV662: labeled_graph_b_nat] :
( ( ( ( ( produc951298923_b_nat @ SV662 @ SV731 )
= ( produc951298923_b_nat @ SV779 @ SV806 ) )
| ~ ( ( SV662 != SV779 )
| ( SV731 != SV806 ) ) )
= $false )
| ( ( ~ ( ( ( produc951298923_b_nat @ SV662 @ SV731 )
!= ( produc951298923_b_nat @ SV779 @ SV806 ) )
| ~ ~ ( ( SV662 != SV779 )
| ( SV731 != SV806 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4097]) ).
thf(4157,plain,
! [SV733: produc1235635379_b_nat,SV665: labeled_graph_b_nat] :
( ( ( ( SV665
!= ( produc194497945_b_nat @ SV733 ) )
| ~ ~ ! [SY1048: labeled_graph_b_nat] :
( SV733
!= ( produc951298923_b_nat @ SY1048 @ SV665 ) ) )
= $false )
| ( ( SV665
= ( produc194497945_b_nat @ SV733 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4098]) ).
thf(4158,plain,
! [SV665: labeled_graph_b_nat,SV733: produc1235635379_b_nat] :
( ( ( ! [SY1048: labeled_graph_b_nat] :
( SV733
!= ( produc951298923_b_nat @ SY1048 @ SV665 ) ) )
= $true )
| ( ( ~ ( ( SV665
!= ( produc194497945_b_nat @ SV733 ) )
| ~ ~ ! [SY1048: labeled_graph_b_nat] :
( SV733
!= ( produc951298923_b_nat @ SY1048 @ SV665 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4099]) ).
thf(4159,plain,
! [SV735: allegorical_term_b,SV667: allegorical_term_b] :
( ( ~ ~ ( ~ ( graph_529870330at_nat @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV667 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV667 @ SV735 ) ) ) ) @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV667 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV667 @ SV735 ) ) ) ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV667 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV667 @ SV735 ) ) ) ) ) ) )
| ( ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV667 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV667 @ SV735 ) ) ) )
!= ( restrict_b_nat @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV667 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV667 @ SV735 ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[4101]) ).
thf(4160,plain,
! [SV735: allegorical_term_b,SV667: allegorical_term_b] :
( ( ~ ( finite_finite_nat @ ( labele460410879_b_nat @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV667 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV667 @ SV735 ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[4101]) ).
thf(4161,plain,
! [SV737: produc1235635379_b_nat,SV669: labeled_graph_b_nat] :
( ( ( ( SV669
!= ( produc1542243159_b_nat @ SV737 ) )
| ~ ~ ! [SY1050: labeled_graph_b_nat] :
( SV737
!= ( produc951298923_b_nat @ SV669 @ SY1050 ) ) )
= $false )
| ( ( SV669
= ( produc1542243159_b_nat @ SV737 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4102]) ).
thf(4162,plain,
! [SV669: labeled_graph_b_nat,SV737: produc1235635379_b_nat] :
( ( ( ! [SY1050: labeled_graph_b_nat] :
( SV737
!= ( produc951298923_b_nat @ SV669 @ SY1050 ) ) )
= $true )
| ( ( ~ ( ( SV669
!= ( produc1542243159_b_nat @ SV737 ) )
| ~ ~ ! [SY1050: labeled_graph_b_nat] :
( SV737
!= ( produc951298923_b_nat @ SV669 @ SY1050 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4103]) ).
thf(4163,plain,
! [SV739: labeled_graph_b_nat,SV671: labeled_graph_b_nat] :
( ( ( ~ ( graph_529870330at_nat @ SV671 @ SV739 @ ( id_on_nat @ ( labele460410879_b_nat @ SV671 ) ) )
| ~ ~ ( ~ ~ ( ( SV671
!= ( restrict_b_nat @ SV671 ) )
| ( SV739
!= ( restrict_b_nat @ SV739 ) ) )
| ( ( graph_union_b_nat @ SV671 @ SV739 )
!= SV739 ) ) )
= $false )
| ( ( graph_529870330at_nat @ SV671 @ SV739 @ ( id_on_nat @ ( labele460410879_b_nat @ SV671 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4105]) ).
thf(4164,plain,
! [SV739: labeled_graph_b_nat,SV671: labeled_graph_b_nat] :
( ( ( ~ ~ ( ( SV671
!= ( restrict_b_nat @ SV671 ) )
| ( SV739
!= ( restrict_b_nat @ SV739 ) ) )
| ( ( graph_union_b_nat @ SV671 @ SV739 )
!= SV739 ) )
= $true )
| ( ( ~ ( ~ ( graph_529870330at_nat @ SV671 @ SV739 @ ( id_on_nat @ ( labele460410879_b_nat @ SV671 ) ) )
| ~ ~ ( ~ ~ ( ( SV671
!= ( restrict_b_nat @ SV671 ) )
| ( SV739
!= ( restrict_b_nat @ SV739 ) ) )
| ( ( graph_union_b_nat @ SV671 @ SV739 )
!= SV739 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4106]) ).
thf(4165,plain,
! [SV740: produc1235635379_b_nat,SV673: labeled_graph_b_nat > labeled_graph_b_nat > $o] :
( ( ( ~ ( SV673 @ ( sK103_SY1105 @ SV740 @ SV673 ) @ ( sK98_SY959 @ SV740 @ SV673 ) ) )
= $false )
| ( ( SV673 @ ( produc194497945_b_nat @ SV740 ) @ ( produc1542243159_b_nat @ SV740 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[4107]) ).
thf(4166,plain,
! [SV807: labeled_graph_b_nat,SV783: labeled_graph_b_nat,SV744: labeled_graph_b_nat,SV678: labeled_graph_b_nat] :
( ( ( ( ( produc951298923_b_nat @ SV678 @ SV744 )
= ( produc951298923_b_nat @ SV783 @ SV807 ) )
| ~ ( ( SV678 != SV783 )
| ( SV744 != SV807 ) ) )
= $false )
| ( ( ~ ( ( ( produc951298923_b_nat @ SV678 @ SV744 )
!= ( produc951298923_b_nat @ SV783 @ SV807 ) )
| ~ ~ ( ( SV678 != SV783 )
| ( SV744 != SV807 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4109]) ).
thf(4167,plain,
! [SV679: allegorical_term_b > allegorical_term_b > $o,SV784: allegorical_term_b,SV745: allegorical_term_b,SV808: produc1478835367term_b] :
( ( ( SV808
!= ( produc1990145943term_b @ SV745 @ SV784 ) )
= $true )
| ( ( SV679 @ ( produc854192515term_b @ SV808 ) @ ( produc1223098053term_b @ SV808 ) )
= $true )
| ( ( SV679 @ SV745 @ SV784 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4110]) ).
thf(4168,plain,
! [SV683: produc1235635379_b_nat] :
( ( SV683
= ( produc951298923_b_nat @ ( sK87_SY977 @ SV683 ) @ ( sK99_SY1095 @ SV683 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[4111]) ).
thf(4169,plain,
! [SV749: produc1235635379_b_nat,SV685: produc1235635379_b_nat] :
( ( ( ( produc1542243159_b_nat @ SV685 )
= ( produc1542243159_b_nat @ SV749 ) )
= $false )
| ( ( ( produc194497945_b_nat @ SV685 )
!= ( produc194497945_b_nat @ SV749 ) )
= $true )
| ( ( SV685 = SV749 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4113]) ).
thf(4170,plain,
! [SV787: set_Pr551076371_b_nat,SV686: labeled_graph_b_nat,SV750: labeled_graph_b_nat,SV809: labeled_graph_b_nat] :
( ( ( SV809 != SV750 )
= $true )
| ( ( member963855452_b_nat @ ( produc951298923_b_nat @ SV686 @ SV809 ) @ SV787 )
= $true )
| ( ( member963855452_b_nat @ ( produc951298923_b_nat @ SV686 @ SV750 ) @ SV787 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4114]) ).
thf(4171,plain,
! [SV691: labeled_graph_b_nat,SV788: labeled_graph_b_nat,SV755: labeled_graph_b_nat] :
( ( ( graph_529870330at_nat @ SV755 @ SV788 @ ( id_on_nat @ ( labele460410879_b_nat @ SV755 ) ) )
= $false )
| ( ( graph_529870330at_nat @ SV691 @ SV788 @ ( id_on_nat @ ( labele460410879_b_nat @ SV691 ) ) )
= $true )
| ( ( graph_529870330at_nat @ SV691 @ SV755 @ ( id_on_nat @ ( labele460410879_b_nat @ SV691 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4118]) ).
thf(4172,plain,
! [SV757: labeled_graph_b_nat,SV694: labeled_graph_b_nat > $o,SV810: labeled_graph_b_nat,SV790: labeled_graph_b_nat > $o] :
( ( ( ~ ( SV790 @ SV810 ) )
= $true )
| ( ( ~ ( ~ ( SV694 @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ SV757 @ SV810 ) ) )
| ~ ( SV790 @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ SV757 @ SV810 ) ) ) ) )
= $true )
| ( ( SV694 @ SV757 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4119]) ).
thf(4173,plain,
! [SV759: set_Pr9961929at_nat,SV696: set_Pr9961929at_nat] :
( ( ( finite1987068434at_nat @ SV696 )
= $true )
| ( ( ~ ( finite1987068434at_nat @ SV759 ) )
= $true )
| ( ( ord_le910748009at_nat @ SV696 @ SV759 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4120]) ).
thf(4174,plain,
! [SV760: produc1478835367term_b,SV697: allegorical_term_b > allegorical_term_b > $o] :
( ( ( ~ ( SV697 @ ( sK104_SY1106 @ SV760 @ SV697 ) @ ( sK101_SY1003 @ SV760 @ SV697 ) ) )
= $false )
| ( ( SV697 @ ( produc1223098053term_b @ SV760 ) @ ( produc854192515term_b @ SV760 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[4121]) ).
thf(4175,plain,
! [SV811: allegorical_term_b,SV792: allegorical_term_b,SV761: allegorical_term_b,SV698: allegorical_term_b] :
( ( ( ( ( produc1990145943term_b @ SV698 @ SV761 )
= ( produc1990145943term_b @ SV792 @ SV811 ) )
| ~ ( ( SV698 != SV792 )
| ( SV761 != SV811 ) ) )
= $false )
| ( ( ~ ( ( ( produc1990145943term_b @ SV698 @ SV761 )
!= ( produc1990145943term_b @ SV792 @ SV811 ) )
| ~ ~ ( ( SV698 != SV792 )
| ( SV761 != SV811 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4122]) ).
thf(4176,plain,
! [SV765: produc1478835367term_b,SV702: allegorical_term_b] :
( ( ( ( SV702
!= ( produc854192515term_b @ SV765 ) )
| ~ ~ ! [SY1079: allegorical_term_b] :
( SV765
!= ( produc1990145943term_b @ SV702 @ SY1079 ) ) )
= $false )
| ( ( SV702
= ( produc854192515term_b @ SV765 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4124]) ).
thf(4177,plain,
! [SV702: allegorical_term_b,SV765: produc1478835367term_b] :
( ( ( ! [SY1079: allegorical_term_b] :
( SV765
!= ( produc1990145943term_b @ SV702 @ SY1079 ) ) )
= $true )
| ( ( ~ ( ( SV702
!= ( produc854192515term_b @ SV765 ) )
| ~ ~ ! [SY1079: allegorical_term_b] :
( SV765
!= ( produc1990145943term_b @ SV702 @ SY1079 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4125]) ).
thf(4178,plain,
! [SV613: labeled_graph_b_nat] :
( ( ( graph_529870330at_nat @ SV613 @ SV613 @ ( id_on_nat @ ( labele460410879_b_nat @ SV613 ) ) )
= $true )
| ( ( graph_529870330at_nat @ SV613 @ SV613 @ ( id_on_nat @ ( labele460410879_b_nat @ SV613 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4126]) ).
thf(4179,plain,
! [SV613: labeled_graph_b_nat] :
( ( ( SV613
= ( restrict_b_nat @ SV613 ) )
= $true )
| ( ( graph_529870330at_nat @ SV613 @ SV613 @ ( id_on_nat @ ( labele460410879_b_nat @ SV613 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4127]) ).
thf(4180,plain,
! [SV613: labeled_graph_b_nat] :
( ( ( graph_529870330at_nat @ SV613 @ SV613 @ ( id_on_nat @ ( labele460410879_b_nat @ SV613 ) ) )
= $true )
| ( ( SV613
= ( restrict_b_nat @ SV613 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4128]) ).
thf(4181,plain,
! [SV613: labeled_graph_b_nat] :
( ( ( SV613
= ( restrict_b_nat @ SV613 ) )
= $true )
| ( ( SV613
= ( restrict_b_nat @ SV613 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4129]) ).
thf(4182,plain,
! [SV614: labeled_graph_b_nat] :
( ( ( graph_529870330at_nat @ SV614 @ ( restrict_b_nat @ SV614 ) @ ( id_on_nat @ ( labele460410879_b_nat @ SV614 ) ) )
= $true )
| ( ( graph_529870330at_nat @ SV614 @ ( restrict_b_nat @ SV614 ) @ ( id_on_nat @ ( labele460410879_b_nat @ SV614 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4130]) ).
thf(4183,plain,
! [SV614: labeled_graph_b_nat] :
( ( ( SV614
= ( restrict_b_nat @ SV614 ) )
= $true )
| ( ( graph_529870330at_nat @ SV614 @ ( restrict_b_nat @ SV614 ) @ ( id_on_nat @ ( labele460410879_b_nat @ SV614 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4131]) ).
thf(4184,plain,
! [SV614: labeled_graph_b_nat] :
( ( ( graph_529870330at_nat @ SV614 @ ( restrict_b_nat @ SV614 ) @ ( id_on_nat @ ( labele460410879_b_nat @ SV614 ) ) )
= $true )
| ( ( SV614
= ( restrict_b_nat @ SV614 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4132]) ).
thf(4185,plain,
! [SV614: labeled_graph_b_nat] :
( ( ( SV614
= ( restrict_b_nat @ SV614 ) )
= $true )
| ( ( SV614
= ( restrict_b_nat @ SV614 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4133]) ).
thf(4186,plain,
! [SV710: produc1478835367term_b,SV638: allegorical_term_b] :
( ( ( SV638
!= ( produc1223098053term_b @ SV710 ) )
= $false )
| ( ( SV638
= ( produc1223098053term_b @ SV710 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4134]) ).
thf(4187,plain,
! [SV638: allegorical_term_b,SV710: produc1478835367term_b] :
( ( ( ~ ~ ! [SY1017: allegorical_term_b] :
( SV710
!= ( produc1990145943term_b @ SY1017 @ SV638 ) ) )
= $false )
| ( ( SV638
= ( produc1223098053term_b @ SV710 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4134]) ).
thf(4188,plain,
! [SV638: allegorical_term_b,SV813: allegorical_term_b,SV710: produc1478835367term_b] :
( ( ( SV710
!= ( produc1990145943term_b @ SV813 @ SV638 ) )
= $true )
| ( ( ~ ( ( SV638
!= ( produc1223098053term_b @ SV710 ) )
| ~ ~ ! [SY1017: allegorical_term_b] :
( SV710
!= ( produc1990145943term_b @ SY1017 @ SV638 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4135]) ).
thf(4189,plain,
! [SV766: set_Pr1163220871term_b,SV640: allegorical_term_b,SV712: allegorical_term_b,SV795: allegorical_term_b] :
( ( ( SV795 = SV712 )
= $false )
| ( ( member516522448term_b @ ( produc1990145943term_b @ SV640 @ SV795 ) @ SV766 )
= $true )
| ( ( member516522448term_b @ ( produc1990145943term_b @ SV640 @ SV712 ) @ SV766 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4136]) ).
thf(4190,plain,
! [SV796: labeled_graph_b_nat,SV714: labeled_graph_b_nat,SV767: labeled_graph_b_nat,SV642: labeled_graph_b_nat] :
( ( ( SV642 != SV767 )
= $false )
| ( ( ( produc951298923_b_nat @ SV642 @ SV714 )
= ( produc951298923_b_nat @ SV767 @ SV796 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4137]) ).
thf(4191,plain,
! [SV767: labeled_graph_b_nat,SV642: labeled_graph_b_nat,SV796: labeled_graph_b_nat,SV714: labeled_graph_b_nat] :
( ( ( SV714 != SV796 )
= $false )
| ( ( ( produc951298923_b_nat @ SV642 @ SV714 )
= ( produc951298923_b_nat @ SV767 @ SV796 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4137]) ).
thf(4192,plain,
! [SV797: allegorical_term_b,SV715: allegorical_term_b,SV768: allegorical_term_b,SV643: allegorical_term_b] :
( ( ( SV643 != SV768 )
= $false )
| ( ( ( produc1990145943term_b @ SV643 @ SV715 )
= ( produc1990145943term_b @ SV768 @ SV797 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4138]) ).
thf(4193,plain,
! [SV768: allegorical_term_b,SV643: allegorical_term_b,SV797: allegorical_term_b,SV715: allegorical_term_b] :
( ( ( SV715 != SV797 )
= $false )
| ( ( ( produc1990145943term_b @ SV643 @ SV715 )
= ( produc1990145943term_b @ SV768 @ SV797 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4138]) ).
thf(4194,plain,
! [SV798: produc1235635379_b_nat,SV716: produc1235635379_b_nat] :
( ( ( SV716 = SV798 )
= $false )
| ( ( ~ ( ( SV716 != SV798 )
| ~ ~ ( ( ( produc1542243159_b_nat @ SV716 )
!= ( produc1542243159_b_nat @ SV798 ) )
| ( ( produc194497945_b_nat @ SV716 )
!= ( produc194497945_b_nat @ SV798 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4139]) ).
thf(4195,plain,
! [SV798: produc1235635379_b_nat,SV716: produc1235635379_b_nat] :
( ( ( ~ ( ( ( produc1542243159_b_nat @ SV716 )
!= ( produc1542243159_b_nat @ SV798 ) )
| ( ( produc194497945_b_nat @ SV716 )
!= ( produc194497945_b_nat @ SV798 ) ) ) )
= $false )
| ( ( ~ ( ( SV716 != SV798 )
| ~ ~ ( ( ( produc1542243159_b_nat @ SV716 )
!= ( produc1542243159_b_nat @ SV798 ) )
| ( ( produc194497945_b_nat @ SV716 )
!= ( produc194497945_b_nat @ SV798 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4139]) ).
thf(4196,plain,
! [SV770: set_Pr1986765409at_nat,SV645: labeled_graph_b_nat,SV812: set_Pr1986765409at_nat,SV799: labeled_graph_b_nat,SV717: labeled_graph_b_nat] :
( ( ( ~ ( graph_529870330at_nat @ SV717 @ SV799 @ SV812 ) )
= $true )
| ( ( graph_529870330at_nat @ SV645 @ SV799 @ ( relcomp_nat_nat_nat @ SV770 @ SV812 ) )
= $true )
| ( ( graph_529870330at_nat @ SV645 @ SV717 @ SV770 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4140]) ).
thf(4197,plain,
! [SV718: labeled_graph_b_nat,SV800: set_Pr1986765409at_nat,SV646: labeled_graph_b_nat,SV771: labeled_graph_b_nat] :
( ( ( graph_529870330at_nat @ SV771 @ SV646 @ SV800 )
= $false )
| ( ( graph_529870330at_nat @ SV771 @ SV718 @ SV800 )
= $true )
| ( ( graph_529870330at_nat @ SV646 @ SV718 @ ( id_on_nat @ ( labele460410879_b_nat @ SV646 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4141]) ).
thf(4198,plain,
! [SV647: b] :
( ( ~ ( graph_529870330at_nat @ ( produc1542243159_b_nat @ ( standa1360217389rule_b @ SV647 ) ) @ ( produc194497945_b_nat @ ( standa1360217389rule_b @ SV647 ) ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ ( standa1360217389rule_b @ SV647 ) ) ) ) )
| ( ( produc194497945_b_nat @ ( standa1360217389rule_b @ SV647 ) )
!= ( restrict_b_nat @ ( produc194497945_b_nat @ ( standa1360217389rule_b @ SV647 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[4142]) ).
thf(4199,plain,
! [SV801: allegorical_term_b,SV772: allegorical_term_b,SV719: allegorical_term_b,SV648: allegorical_term_b] :
( ( ( ( allegorical_A_Int_b @ SV648 @ SV719 )
= ( allegorical_A_Int_b @ SV772 @ SV801 ) )
= $false )
| ( ( ~ ( ( ( allegorical_A_Int_b @ SV648 @ SV719 )
!= ( allegorical_A_Int_b @ SV772 @ SV801 ) )
| ~ ~ ( ( SV648 != SV772 )
| ( SV719 != SV801 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4144]) ).
thf(4200,plain,
! [SV801: allegorical_term_b,SV719: allegorical_term_b,SV772: allegorical_term_b,SV648: allegorical_term_b] :
( ( ( ~ ( ( SV648 != SV772 )
| ( SV719 != SV801 ) ) )
= $false )
| ( ( ~ ( ( ( allegorical_A_Int_b @ SV648 @ SV719 )
!= ( allegorical_A_Int_b @ SV772 @ SV801 ) )
| ~ ~ ( ( SV648 != SV772 )
| ( SV719 != SV801 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4144]) ).
thf(4201,plain,
! [SV802: allegorical_term_b,SV773: allegorical_term_b,SV720: allegorical_term_b,SV649: allegorical_term_b] :
( ( ( ( produc1990145943term_b @ SV649 @ SV720 )
= ( produc1990145943term_b @ SV773 @ SV802 ) )
= $false )
| ( ( ~ ( ( ( produc1990145943term_b @ SV649 @ SV720 )
!= ( produc1990145943term_b @ SV773 @ SV802 ) )
| ~ ~ ( ( SV649 != SV773 )
| ( SV720 != SV802 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4145]) ).
thf(4202,plain,
! [SV802: allegorical_term_b,SV720: allegorical_term_b,SV773: allegorical_term_b,SV649: allegorical_term_b] :
( ( ( ~ ( ( SV649 != SV773 )
| ( SV720 != SV802 ) ) )
= $false )
| ( ( ~ ( ( ( produc1990145943term_b @ SV649 @ SV720 )
!= ( produc1990145943term_b @ SV773 @ SV802 ) )
| ~ ~ ( ( SV649 != SV773 )
| ( SV720 != SV802 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4145]) ).
thf(4203,plain,
! [SV721: allegorical_term_b,SV650: allegorical_term_b > $o,SV803: allegorical_term_b,SV774: allegorical_term_b > $o] :
( ( ( SV774 @ SV803 )
= $false )
| ( ( ~ ( ~ ( SV650 @ ( produc854192515term_b @ ( produc1990145943term_b @ SV721 @ SV803 ) ) )
| ~ ( SV774 @ ( produc1223098053term_b @ ( produc1990145943term_b @ SV721 @ SV803 ) ) ) ) )
= $true )
| ( ( SV650 @ SV721 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4146]) ).
thf(4204,plain,
! [SV651: b] :
( ( ~ ( graph_529870330at_nat @ ( produc1542243159_b_nat @ ( standa1329480013rule_b @ SV651 ) ) @ ( produc194497945_b_nat @ ( standa1329480013rule_b @ SV651 ) ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ ( standa1329480013rule_b @ SV651 ) ) ) ) )
| ( ( produc194497945_b_nat @ ( standa1329480013rule_b @ SV651 ) )
!= ( restrict_b_nat @ ( produc194497945_b_nat @ ( standa1329480013rule_b @ SV651 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[4147]) ).
thf(4205,plain,
( ( ~ ( graph_529870330at_nat @ ( produc1542243159_b_nat @ standa879863266rule_b ) @ ( produc194497945_b_nat @ standa879863266rule_b ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ standa879863266rule_b ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[4149]) ).
thf(4206,plain,
( ( ( produc194497945_b_nat @ standa879863266rule_b )
!= ( restrict_b_nat @ ( produc194497945_b_nat @ standa879863266rule_b ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[4149]) ).
thf(4207,plain,
! [SV723: produc1478835367term_b,SV654: produc1478835367term_b] :
( ( ( ( produc1223098053term_b @ SV654 )
= ( produc1223098053term_b @ SV723 ) )
= $false )
| ( ( ( produc854192515term_b @ SV654 )
= ( produc854192515term_b @ SV723 ) )
= $false )
| ( ( SV654 = SV723 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4151]) ).
thf(4208,plain,
! [SV726: labeled_graph_b_nat,SV657: labeled_graph_b_nat] :
( ( ( ( labele460410879_b_nat @ SV657 )
= ( labele460410879_b_nat @ SV726 ) )
= $false )
| ( ( ( labeled_edges_b_nat @ SV657 )
= ( labeled_edges_b_nat @ SV726 ) )
= $false )
| ( ( SV657 = SV726 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4152]) ).
thf(4209,plain,
! [SV659: set_nat,SV728: set_nat] :
( ( ( finite_finite_nat @ SV728 )
= $false )
| ( ( finite_finite_nat @ SV659 )
= $true )
| ( ( ord_less_eq_set_nat @ SV659 @ SV728 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4153]) ).
thf(4210,plain,
! [SV660: labeled_graph_b_nat > labeled_graph_b_nat > $o,SV777: labeled_graph_b_nat,SV729: labeled_graph_b_nat,SV804: produc1235635379_b_nat] :
( ( ( SV804
= ( produc951298923_b_nat @ SV729 @ SV777 ) )
= $false )
| ( ( SV660 @ ( produc1542243159_b_nat @ SV804 ) @ ( produc194497945_b_nat @ SV804 ) )
= $true )
| ( ( SV660 @ SV729 @ SV777 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4154]) ).
thf(4211,plain,
! [SV805: produc1478835367term_b,SV730: produc1478835367term_b] :
( ( ( SV730 = SV805 )
= $false )
| ( ( ~ ( ( SV730 != SV805 )
| ~ ~ ( ( ( produc854192515term_b @ SV730 )
!= ( produc854192515term_b @ SV805 ) )
| ( ( produc1223098053term_b @ SV730 )
!= ( produc1223098053term_b @ SV805 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4155]) ).
thf(4212,plain,
! [SV805: produc1478835367term_b,SV730: produc1478835367term_b] :
( ( ( ~ ( ( ( produc854192515term_b @ SV730 )
!= ( produc854192515term_b @ SV805 ) )
| ( ( produc1223098053term_b @ SV730 )
!= ( produc1223098053term_b @ SV805 ) ) ) )
= $false )
| ( ( ~ ( ( SV730 != SV805 )
| ~ ~ ( ( ( produc854192515term_b @ SV730 )
!= ( produc854192515term_b @ SV805 ) )
| ( ( produc1223098053term_b @ SV730 )
!= ( produc1223098053term_b @ SV805 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4155]) ).
thf(4213,plain,
! [SV806: labeled_graph_b_nat,SV779: labeled_graph_b_nat,SV731: labeled_graph_b_nat,SV662: labeled_graph_b_nat] :
( ( ( ( produc951298923_b_nat @ SV662 @ SV731 )
= ( produc951298923_b_nat @ SV779 @ SV806 ) )
= $false )
| ( ( ~ ( ( ( produc951298923_b_nat @ SV662 @ SV731 )
!= ( produc951298923_b_nat @ SV779 @ SV806 ) )
| ~ ~ ( ( SV662 != SV779 )
| ( SV731 != SV806 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4156]) ).
thf(4214,plain,
! [SV806: labeled_graph_b_nat,SV731: labeled_graph_b_nat,SV779: labeled_graph_b_nat,SV662: labeled_graph_b_nat] :
( ( ( ~ ( ( SV662 != SV779 )
| ( SV731 != SV806 ) ) )
= $false )
| ( ( ~ ( ( ( produc951298923_b_nat @ SV662 @ SV731 )
!= ( produc951298923_b_nat @ SV779 @ SV806 ) )
| ~ ~ ( ( SV662 != SV779 )
| ( SV731 != SV806 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4156]) ).
thf(4215,plain,
! [SV733: produc1235635379_b_nat,SV665: labeled_graph_b_nat] :
( ( ( SV665
!= ( produc194497945_b_nat @ SV733 ) )
= $false )
| ( ( SV665
= ( produc194497945_b_nat @ SV733 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4157]) ).
thf(4216,plain,
! [SV665: labeled_graph_b_nat,SV733: produc1235635379_b_nat] :
( ( ( ~ ~ ! [SY1048: labeled_graph_b_nat] :
( SV733
!= ( produc951298923_b_nat @ SY1048 @ SV665 ) ) )
= $false )
| ( ( SV665
= ( produc194497945_b_nat @ SV733 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4157]) ).
thf(4217,plain,
! [SV665: labeled_graph_b_nat,SV814: labeled_graph_b_nat,SV733: produc1235635379_b_nat] :
( ( ( SV733
!= ( produc951298923_b_nat @ SV814 @ SV665 ) )
= $true )
| ( ( ~ ( ( SV665
!= ( produc194497945_b_nat @ SV733 ) )
| ~ ~ ! [SY1048: labeled_graph_b_nat] :
( SV733
!= ( produc951298923_b_nat @ SY1048 @ SV665 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4158]) ).
thf(4218,plain,
! [SV735: allegorical_term_b,SV667: allegorical_term_b] :
( ( ~ ( ~ ( graph_529870330at_nat @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV667 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV667 @ SV735 ) ) ) ) @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV667 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV667 @ SV735 ) ) ) ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV667 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV667 @ SV735 ) ) ) ) ) ) )
| ( ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV667 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV667 @ SV735 ) ) ) )
!= ( restrict_b_nat @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV667 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV667 @ SV735 ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[4159]) ).
thf(4219,plain,
! [SV735: allegorical_term_b,SV667: allegorical_term_b] :
( ( finite_finite_nat @ ( labele460410879_b_nat @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV667 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV667 @ SV735 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[4160]) ).
thf(4220,plain,
! [SV737: produc1235635379_b_nat,SV669: labeled_graph_b_nat] :
( ( ( SV669
!= ( produc1542243159_b_nat @ SV737 ) )
= $false )
| ( ( SV669
= ( produc1542243159_b_nat @ SV737 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4161]) ).
thf(4221,plain,
! [SV669: labeled_graph_b_nat,SV737: produc1235635379_b_nat] :
( ( ( ~ ~ ! [SY1050: labeled_graph_b_nat] :
( SV737
!= ( produc951298923_b_nat @ SV669 @ SY1050 ) ) )
= $false )
| ( ( SV669
= ( produc1542243159_b_nat @ SV737 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4161]) ).
thf(4222,plain,
! [SV815: labeled_graph_b_nat,SV669: labeled_graph_b_nat,SV737: produc1235635379_b_nat] :
( ( ( SV737
!= ( produc951298923_b_nat @ SV669 @ SV815 ) )
= $true )
| ( ( ~ ( ( SV669
!= ( produc1542243159_b_nat @ SV737 ) )
| ~ ~ ! [SY1050: labeled_graph_b_nat] :
( SV737
!= ( produc951298923_b_nat @ SV669 @ SY1050 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4162]) ).
thf(4223,plain,
! [SV739: labeled_graph_b_nat,SV671: labeled_graph_b_nat] :
( ( ( ~ ( graph_529870330at_nat @ SV671 @ SV739 @ ( id_on_nat @ ( labele460410879_b_nat @ SV671 ) ) ) )
= $false )
| ( ( graph_529870330at_nat @ SV671 @ SV739 @ ( id_on_nat @ ( labele460410879_b_nat @ SV671 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4163]) ).
thf(4224,plain,
! [SV739: labeled_graph_b_nat,SV671: labeled_graph_b_nat] :
( ( ( ~ ~ ( ~ ~ ( ( SV671
!= ( restrict_b_nat @ SV671 ) )
| ( SV739
!= ( restrict_b_nat @ SV739 ) ) )
| ( ( graph_union_b_nat @ SV671 @ SV739 )
!= SV739 ) ) )
= $false )
| ( ( graph_529870330at_nat @ SV671 @ SV739 @ ( id_on_nat @ ( labele460410879_b_nat @ SV671 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4163]) ).
thf(4225,plain,
! [SV739: labeled_graph_b_nat,SV671: labeled_graph_b_nat] :
( ( ( ~ ~ ( ( SV671
!= ( restrict_b_nat @ SV671 ) )
| ( SV739
!= ( restrict_b_nat @ SV739 ) ) ) )
= $true )
| ( ( ( graph_union_b_nat @ SV671 @ SV739 )
!= SV739 )
= $true )
| ( ( ~ ( ~ ( graph_529870330at_nat @ SV671 @ SV739 @ ( id_on_nat @ ( labele460410879_b_nat @ SV671 ) ) )
| ~ ~ ( ~ ~ ( ( SV671
!= ( restrict_b_nat @ SV671 ) )
| ( SV739
!= ( restrict_b_nat @ SV739 ) ) )
| ( ( graph_union_b_nat @ SV671 @ SV739 )
!= SV739 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4164]) ).
thf(4226,plain,
! [SV740: produc1235635379_b_nat,SV673: labeled_graph_b_nat > labeled_graph_b_nat > $o] :
( ( ( SV673 @ ( sK103_SY1105 @ SV740 @ SV673 ) @ ( sK98_SY959 @ SV740 @ SV673 ) )
= $true )
| ( ( SV673 @ ( produc194497945_b_nat @ SV740 ) @ ( produc1542243159_b_nat @ SV740 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4165]) ).
thf(4227,plain,
! [SV807: labeled_graph_b_nat,SV783: labeled_graph_b_nat,SV744: labeled_graph_b_nat,SV678: labeled_graph_b_nat] :
( ( ( ( produc951298923_b_nat @ SV678 @ SV744 )
= ( produc951298923_b_nat @ SV783 @ SV807 ) )
= $false )
| ( ( ~ ( ( ( produc951298923_b_nat @ SV678 @ SV744 )
!= ( produc951298923_b_nat @ SV783 @ SV807 ) )
| ~ ~ ( ( SV678 != SV783 )
| ( SV744 != SV807 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4166]) ).
thf(4228,plain,
! [SV807: labeled_graph_b_nat,SV744: labeled_graph_b_nat,SV783: labeled_graph_b_nat,SV678: labeled_graph_b_nat] :
( ( ( ~ ( ( SV678 != SV783 )
| ( SV744 != SV807 ) ) )
= $false )
| ( ( ~ ( ( ( produc951298923_b_nat @ SV678 @ SV744 )
!= ( produc951298923_b_nat @ SV783 @ SV807 ) )
| ~ ~ ( ( SV678 != SV783 )
| ( SV744 != SV807 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4166]) ).
thf(4229,plain,
! [SV679: allegorical_term_b > allegorical_term_b > $o,SV784: allegorical_term_b,SV745: allegorical_term_b,SV808: produc1478835367term_b] :
( ( ( SV808
= ( produc1990145943term_b @ SV745 @ SV784 ) )
= $false )
| ( ( SV679 @ ( produc854192515term_b @ SV808 ) @ ( produc1223098053term_b @ SV808 ) )
= $true )
| ( ( SV679 @ SV745 @ SV784 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4167]) ).
thf(4230,plain,
! [SV749: produc1235635379_b_nat,SV685: produc1235635379_b_nat] :
( ( ( ( produc194497945_b_nat @ SV685 )
= ( produc194497945_b_nat @ SV749 ) )
= $false )
| ( ( ( produc1542243159_b_nat @ SV685 )
= ( produc1542243159_b_nat @ SV749 ) )
= $false )
| ( ( SV685 = SV749 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4169]) ).
thf(4231,plain,
! [SV787: set_Pr551076371_b_nat,SV686: labeled_graph_b_nat,SV750: labeled_graph_b_nat,SV809: labeled_graph_b_nat] :
( ( ( SV809 = SV750 )
= $false )
| ( ( member963855452_b_nat @ ( produc951298923_b_nat @ SV686 @ SV809 ) @ SV787 )
= $true )
| ( ( member963855452_b_nat @ ( produc951298923_b_nat @ SV686 @ SV750 ) @ SV787 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4170]) ).
thf(4232,plain,
! [SV757: labeled_graph_b_nat,SV694: labeled_graph_b_nat > $o,SV810: labeled_graph_b_nat,SV790: labeled_graph_b_nat > $o] :
( ( ( SV790 @ SV810 )
= $false )
| ( ( ~ ( ~ ( SV694 @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ SV757 @ SV810 ) ) )
| ~ ( SV790 @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ SV757 @ SV810 ) ) ) ) )
= $true )
| ( ( SV694 @ SV757 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4172]) ).
thf(4233,plain,
! [SV696: set_Pr9961929at_nat,SV759: set_Pr9961929at_nat] :
( ( ( finite1987068434at_nat @ SV759 )
= $false )
| ( ( finite1987068434at_nat @ SV696 )
= $true )
| ( ( ord_le910748009at_nat @ SV696 @ SV759 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4173]) ).
thf(4234,plain,
! [SV760: produc1478835367term_b,SV697: allegorical_term_b > allegorical_term_b > $o] :
( ( ( SV697 @ ( sK104_SY1106 @ SV760 @ SV697 ) @ ( sK101_SY1003 @ SV760 @ SV697 ) )
= $true )
| ( ( SV697 @ ( produc1223098053term_b @ SV760 ) @ ( produc854192515term_b @ SV760 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4174]) ).
thf(4235,plain,
! [SV811: allegorical_term_b,SV792: allegorical_term_b,SV761: allegorical_term_b,SV698: allegorical_term_b] :
( ( ( ( produc1990145943term_b @ SV698 @ SV761 )
= ( produc1990145943term_b @ SV792 @ SV811 ) )
= $false )
| ( ( ~ ( ( ( produc1990145943term_b @ SV698 @ SV761 )
!= ( produc1990145943term_b @ SV792 @ SV811 ) )
| ~ ~ ( ( SV698 != SV792 )
| ( SV761 != SV811 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4175]) ).
thf(4236,plain,
! [SV811: allegorical_term_b,SV761: allegorical_term_b,SV792: allegorical_term_b,SV698: allegorical_term_b] :
( ( ( ~ ( ( SV698 != SV792 )
| ( SV761 != SV811 ) ) )
= $false )
| ( ( ~ ( ( ( produc1990145943term_b @ SV698 @ SV761 )
!= ( produc1990145943term_b @ SV792 @ SV811 ) )
| ~ ~ ( ( SV698 != SV792 )
| ( SV761 != SV811 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[4175]) ).
thf(4237,plain,
! [SV765: produc1478835367term_b,SV702: allegorical_term_b] :
( ( ( SV702
!= ( produc854192515term_b @ SV765 ) )
= $false )
| ( ( SV702
= ( produc854192515term_b @ SV765 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4176]) ).
thf(4238,plain,
! [SV702: allegorical_term_b,SV765: produc1478835367term_b] :
( ( ( ~ ~ ! [SY1079: allegorical_term_b] :
( SV765
!= ( produc1990145943term_b @ SV702 @ SY1079 ) ) )
= $false )
| ( ( SV702
= ( produc854192515term_b @ SV765 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4176]) ).
thf(4239,plain,
! [SV816: allegorical_term_b,SV702: allegorical_term_b,SV765: produc1478835367term_b] :
( ( ( SV765
!= ( produc1990145943term_b @ SV702 @ SV816 ) )
= $true )
| ( ( ~ ( ( SV702
!= ( produc854192515term_b @ SV765 ) )
| ~ ~ ! [SY1079: allegorical_term_b] :
( SV765
!= ( produc1990145943term_b @ SV702 @ SY1079 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[4177]) ).
thf(4240,plain,
! [SV710: produc1478835367term_b,SV638: allegorical_term_b] :
( ( ( SV638
= ( produc1223098053term_b @ SV710 ) )
= $true )
| ( ( SV638
= ( produc1223098053term_b @ SV710 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4186]) ).
thf(4241,plain,
! [SV638: allegorical_term_b,SV710: produc1478835367term_b] :
( ( ( ~ ! [SY1017: allegorical_term_b] :
( SV710
!= ( produc1990145943term_b @ SY1017 @ SV638 ) ) )
= $true )
| ( ( SV638
= ( produc1223098053term_b @ SV710 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4187]) ).
thf(4242,plain,
! [SV638: allegorical_term_b,SV813: allegorical_term_b,SV710: produc1478835367term_b] :
( ( ( SV710
= ( produc1990145943term_b @ SV813 @ SV638 ) )
= $false )
| ( ( ~ ( ( SV638
!= ( produc1223098053term_b @ SV710 ) )
| ~ ~ ! [SY1017: allegorical_term_b] :
( SV710
!= ( produc1990145943term_b @ SY1017 @ SV638 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4188]) ).
thf(4243,plain,
! [SV796: labeled_graph_b_nat,SV714: labeled_graph_b_nat,SV767: labeled_graph_b_nat,SV642: labeled_graph_b_nat] :
( ( ( SV642 = SV767 )
= $true )
| ( ( ( produc951298923_b_nat @ SV642 @ SV714 )
= ( produc951298923_b_nat @ SV767 @ SV796 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4190]) ).
thf(4244,plain,
! [SV767: labeled_graph_b_nat,SV642: labeled_graph_b_nat,SV796: labeled_graph_b_nat,SV714: labeled_graph_b_nat] :
( ( ( SV714 = SV796 )
= $true )
| ( ( ( produc951298923_b_nat @ SV642 @ SV714 )
= ( produc951298923_b_nat @ SV767 @ SV796 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4191]) ).
thf(4245,plain,
! [SV797: allegorical_term_b,SV715: allegorical_term_b,SV768: allegorical_term_b,SV643: allegorical_term_b] :
( ( ( SV643 = SV768 )
= $true )
| ( ( ( produc1990145943term_b @ SV643 @ SV715 )
= ( produc1990145943term_b @ SV768 @ SV797 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4192]) ).
thf(4246,plain,
! [SV768: allegorical_term_b,SV643: allegorical_term_b,SV797: allegorical_term_b,SV715: allegorical_term_b] :
( ( ( SV715 = SV797 )
= $true )
| ( ( ( produc1990145943term_b @ SV643 @ SV715 )
= ( produc1990145943term_b @ SV768 @ SV797 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4193]) ).
thf(4247,plain,
! [SV798: produc1235635379_b_nat,SV716: produc1235635379_b_nat] :
( ( ( ( SV716 != SV798 )
| ~ ~ ( ( ( produc1542243159_b_nat @ SV716 )
!= ( produc1542243159_b_nat @ SV798 ) )
| ( ( produc194497945_b_nat @ SV716 )
!= ( produc194497945_b_nat @ SV798 ) ) ) )
= $false )
| ( ( SV716 = SV798 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4194]) ).
thf(4248,plain,
! [SV798: produc1235635379_b_nat,SV716: produc1235635379_b_nat] :
( ( ( ( ( produc1542243159_b_nat @ SV716 )
!= ( produc1542243159_b_nat @ SV798 ) )
| ( ( produc194497945_b_nat @ SV716 )
!= ( produc194497945_b_nat @ SV798 ) ) )
= $true )
| ( ( ~ ( ( SV716 != SV798 )
| ~ ~ ( ( ( produc1542243159_b_nat @ SV716 )
!= ( produc1542243159_b_nat @ SV798 ) )
| ( ( produc194497945_b_nat @ SV716 )
!= ( produc194497945_b_nat @ SV798 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4195]) ).
thf(4249,plain,
! [SV770: set_Pr1986765409at_nat,SV645: labeled_graph_b_nat,SV812: set_Pr1986765409at_nat,SV799: labeled_graph_b_nat,SV717: labeled_graph_b_nat] :
( ( ( graph_529870330at_nat @ SV717 @ SV799 @ SV812 )
= $false )
| ( ( graph_529870330at_nat @ SV645 @ SV799 @ ( relcomp_nat_nat_nat @ SV770 @ SV812 ) )
= $true )
| ( ( graph_529870330at_nat @ SV645 @ SV717 @ SV770 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4196]) ).
thf(4250,plain,
! [SV647: b] :
( ( ~ ( graph_529870330at_nat @ ( produc1542243159_b_nat @ ( standa1360217389rule_b @ SV647 ) ) @ ( produc194497945_b_nat @ ( standa1360217389rule_b @ SV647 ) ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ ( standa1360217389rule_b @ SV647 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[4198]) ).
thf(4251,plain,
! [SV647: b] :
( ( ( produc194497945_b_nat @ ( standa1360217389rule_b @ SV647 ) )
!= ( restrict_b_nat @ ( produc194497945_b_nat @ ( standa1360217389rule_b @ SV647 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[4198]) ).
thf(4252,plain,
! [SV801: allegorical_term_b,SV772: allegorical_term_b,SV719: allegorical_term_b,SV648: allegorical_term_b] :
( ( ( ( ( allegorical_A_Int_b @ SV648 @ SV719 )
!= ( allegorical_A_Int_b @ SV772 @ SV801 ) )
| ~ ~ ( ( SV648 != SV772 )
| ( SV719 != SV801 ) ) )
= $false )
| ( ( ( allegorical_A_Int_b @ SV648 @ SV719 )
= ( allegorical_A_Int_b @ SV772 @ SV801 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4199]) ).
thf(4253,plain,
! [SV801: allegorical_term_b,SV719: allegorical_term_b,SV772: allegorical_term_b,SV648: allegorical_term_b] :
( ( ( ( SV648 != SV772 )
| ( SV719 != SV801 ) )
= $true )
| ( ( ~ ( ( ( allegorical_A_Int_b @ SV648 @ SV719 )
!= ( allegorical_A_Int_b @ SV772 @ SV801 ) )
| ~ ~ ( ( SV648 != SV772 )
| ( SV719 != SV801 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4200]) ).
thf(4254,plain,
! [SV802: allegorical_term_b,SV773: allegorical_term_b,SV720: allegorical_term_b,SV649: allegorical_term_b] :
( ( ( ( ( produc1990145943term_b @ SV649 @ SV720 )
!= ( produc1990145943term_b @ SV773 @ SV802 ) )
| ~ ~ ( ( SV649 != SV773 )
| ( SV720 != SV802 ) ) )
= $false )
| ( ( ( produc1990145943term_b @ SV649 @ SV720 )
= ( produc1990145943term_b @ SV773 @ SV802 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4201]) ).
thf(4255,plain,
! [SV802: allegorical_term_b,SV720: allegorical_term_b,SV773: allegorical_term_b,SV649: allegorical_term_b] :
( ( ( ( SV649 != SV773 )
| ( SV720 != SV802 ) )
= $true )
| ( ( ~ ( ( ( produc1990145943term_b @ SV649 @ SV720 )
!= ( produc1990145943term_b @ SV773 @ SV802 ) )
| ~ ~ ( ( SV649 != SV773 )
| ( SV720 != SV802 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4202]) ).
thf(4256,plain,
! [SV774: allegorical_term_b > $o,SV803: allegorical_term_b,SV721: allegorical_term_b,SV650: allegorical_term_b > $o] :
( ( ( ~ ( SV650 @ ( produc854192515term_b @ ( produc1990145943term_b @ SV721 @ SV803 ) ) )
| ~ ( SV774 @ ( produc1223098053term_b @ ( produc1990145943term_b @ SV721 @ SV803 ) ) ) )
= $false )
| ( ( SV774 @ SV803 )
= $false )
| ( ( SV650 @ SV721 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4203]) ).
thf(4257,plain,
! [SV651: b] :
( ( ~ ( graph_529870330at_nat @ ( produc1542243159_b_nat @ ( standa1329480013rule_b @ SV651 ) ) @ ( produc194497945_b_nat @ ( standa1329480013rule_b @ SV651 ) ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ ( standa1329480013rule_b @ SV651 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[4204]) ).
thf(4258,plain,
! [SV651: b] :
( ( ( produc194497945_b_nat @ ( standa1329480013rule_b @ SV651 ) )
!= ( restrict_b_nat @ ( produc194497945_b_nat @ ( standa1329480013rule_b @ SV651 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[4204]) ).
thf(4259,plain,
( ( graph_529870330at_nat @ ( produc1542243159_b_nat @ standa879863266rule_b ) @ ( produc194497945_b_nat @ standa879863266rule_b ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ standa879863266rule_b ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[4205]) ).
thf(4260,plain,
( ( ( produc194497945_b_nat @ standa879863266rule_b )
= ( restrict_b_nat @ ( produc194497945_b_nat @ standa879863266rule_b ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[4206]) ).
thf(4261,plain,
! [SV805: produc1478835367term_b,SV730: produc1478835367term_b] :
( ( ( ( SV730 != SV805 )
| ~ ~ ( ( ( produc854192515term_b @ SV730 )
!= ( produc854192515term_b @ SV805 ) )
| ( ( produc1223098053term_b @ SV730 )
!= ( produc1223098053term_b @ SV805 ) ) ) )
= $false )
| ( ( SV730 = SV805 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4211]) ).
thf(4262,plain,
! [SV805: produc1478835367term_b,SV730: produc1478835367term_b] :
( ( ( ( ( produc854192515term_b @ SV730 )
!= ( produc854192515term_b @ SV805 ) )
| ( ( produc1223098053term_b @ SV730 )
!= ( produc1223098053term_b @ SV805 ) ) )
= $true )
| ( ( ~ ( ( SV730 != SV805 )
| ~ ~ ( ( ( produc854192515term_b @ SV730 )
!= ( produc854192515term_b @ SV805 ) )
| ( ( produc1223098053term_b @ SV730 )
!= ( produc1223098053term_b @ SV805 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4212]) ).
thf(4263,plain,
! [SV806: labeled_graph_b_nat,SV779: labeled_graph_b_nat,SV731: labeled_graph_b_nat,SV662: labeled_graph_b_nat] :
( ( ( ( ( produc951298923_b_nat @ SV662 @ SV731 )
!= ( produc951298923_b_nat @ SV779 @ SV806 ) )
| ~ ~ ( ( SV662 != SV779 )
| ( SV731 != SV806 ) ) )
= $false )
| ( ( ( produc951298923_b_nat @ SV662 @ SV731 )
= ( produc951298923_b_nat @ SV779 @ SV806 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4213]) ).
thf(4264,plain,
! [SV806: labeled_graph_b_nat,SV731: labeled_graph_b_nat,SV779: labeled_graph_b_nat,SV662: labeled_graph_b_nat] :
( ( ( ( SV662 != SV779 )
| ( SV731 != SV806 ) )
= $true )
| ( ( ~ ( ( ( produc951298923_b_nat @ SV662 @ SV731 )
!= ( produc951298923_b_nat @ SV779 @ SV806 ) )
| ~ ~ ( ( SV662 != SV779 )
| ( SV731 != SV806 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4214]) ).
thf(4265,plain,
! [SV733: produc1235635379_b_nat,SV665: labeled_graph_b_nat] :
( ( ( SV665
= ( produc194497945_b_nat @ SV733 ) )
= $true )
| ( ( SV665
= ( produc194497945_b_nat @ SV733 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4215]) ).
thf(4266,plain,
! [SV665: labeled_graph_b_nat,SV733: produc1235635379_b_nat] :
( ( ( ~ ! [SY1048: labeled_graph_b_nat] :
( SV733
!= ( produc951298923_b_nat @ SY1048 @ SV665 ) ) )
= $true )
| ( ( SV665
= ( produc194497945_b_nat @ SV733 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4216]) ).
thf(4267,plain,
! [SV665: labeled_graph_b_nat,SV814: labeled_graph_b_nat,SV733: produc1235635379_b_nat] :
( ( ( SV733
= ( produc951298923_b_nat @ SV814 @ SV665 ) )
= $false )
| ( ( ~ ( ( SV665
!= ( produc194497945_b_nat @ SV733 ) )
| ~ ~ ! [SY1048: labeled_graph_b_nat] :
( SV733
!= ( produc951298923_b_nat @ SY1048 @ SV665 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4217]) ).
thf(4268,plain,
! [SV735: allegorical_term_b,SV667: allegorical_term_b] :
( ( ~ ( graph_529870330at_nat @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV667 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV667 @ SV735 ) ) ) ) @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV667 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV667 @ SV735 ) ) ) ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV667 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV667 @ SV735 ) ) ) ) ) ) )
| ( ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV667 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV667 @ SV735 ) ) ) )
!= ( restrict_b_nat @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV667 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV667 @ SV735 ) ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[4218]) ).
thf(4269,plain,
! [SV737: produc1235635379_b_nat,SV669: labeled_graph_b_nat] :
( ( ( SV669
= ( produc1542243159_b_nat @ SV737 ) )
= $true )
| ( ( SV669
= ( produc1542243159_b_nat @ SV737 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4220]) ).
thf(4270,plain,
! [SV669: labeled_graph_b_nat,SV737: produc1235635379_b_nat] :
( ( ( ~ ! [SY1050: labeled_graph_b_nat] :
( SV737
!= ( produc951298923_b_nat @ SV669 @ SY1050 ) ) )
= $true )
| ( ( SV669
= ( produc1542243159_b_nat @ SV737 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4221]) ).
thf(4271,plain,
! [SV815: labeled_graph_b_nat,SV669: labeled_graph_b_nat,SV737: produc1235635379_b_nat] :
( ( ( SV737
= ( produc951298923_b_nat @ SV669 @ SV815 ) )
= $false )
| ( ( ~ ( ( SV669
!= ( produc1542243159_b_nat @ SV737 ) )
| ~ ~ ! [SY1050: labeled_graph_b_nat] :
( SV737
!= ( produc951298923_b_nat @ SV669 @ SY1050 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4222]) ).
thf(4272,plain,
! [SV739: labeled_graph_b_nat,SV671: labeled_graph_b_nat] :
( ( ( graph_529870330at_nat @ SV671 @ SV739 @ ( id_on_nat @ ( labele460410879_b_nat @ SV671 ) ) )
= $true )
| ( ( graph_529870330at_nat @ SV671 @ SV739 @ ( id_on_nat @ ( labele460410879_b_nat @ SV671 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4223]) ).
thf(4273,plain,
! [SV739: labeled_graph_b_nat,SV671: labeled_graph_b_nat] :
( ( ( ~ ( ~ ~ ( ( SV671
!= ( restrict_b_nat @ SV671 ) )
| ( SV739
!= ( restrict_b_nat @ SV739 ) ) )
| ( ( graph_union_b_nat @ SV671 @ SV739 )
!= SV739 ) ) )
= $true )
| ( ( graph_529870330at_nat @ SV671 @ SV739 @ ( id_on_nat @ ( labele460410879_b_nat @ SV671 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4224]) ).
thf(4274,plain,
! [SV739: labeled_graph_b_nat,SV671: labeled_graph_b_nat] :
( ( ( ~ ( ( SV671
!= ( restrict_b_nat @ SV671 ) )
| ( SV739
!= ( restrict_b_nat @ SV739 ) ) ) )
= $false )
| ( ( ( graph_union_b_nat @ SV671 @ SV739 )
!= SV739 )
= $true )
| ( ( ~ ( ~ ( graph_529870330at_nat @ SV671 @ SV739 @ ( id_on_nat @ ( labele460410879_b_nat @ SV671 ) ) )
| ~ ~ ( ~ ~ ( ( SV671
!= ( restrict_b_nat @ SV671 ) )
| ( SV739
!= ( restrict_b_nat @ SV739 ) ) )
| ( ( graph_union_b_nat @ SV671 @ SV739 )
!= SV739 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4225]) ).
thf(4275,plain,
! [SV807: labeled_graph_b_nat,SV783: labeled_graph_b_nat,SV744: labeled_graph_b_nat,SV678: labeled_graph_b_nat] :
( ( ( ( ( produc951298923_b_nat @ SV678 @ SV744 )
!= ( produc951298923_b_nat @ SV783 @ SV807 ) )
| ~ ~ ( ( SV678 != SV783 )
| ( SV744 != SV807 ) ) )
= $false )
| ( ( ( produc951298923_b_nat @ SV678 @ SV744 )
= ( produc951298923_b_nat @ SV783 @ SV807 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4227]) ).
thf(4276,plain,
! [SV807: labeled_graph_b_nat,SV744: labeled_graph_b_nat,SV783: labeled_graph_b_nat,SV678: labeled_graph_b_nat] :
( ( ( ( SV678 != SV783 )
| ( SV744 != SV807 ) )
= $true )
| ( ( ~ ( ( ( produc951298923_b_nat @ SV678 @ SV744 )
!= ( produc951298923_b_nat @ SV783 @ SV807 ) )
| ~ ~ ( ( SV678 != SV783 )
| ( SV744 != SV807 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4228]) ).
thf(4277,plain,
! [SV790: labeled_graph_b_nat > $o,SV810: labeled_graph_b_nat,SV757: labeled_graph_b_nat,SV694: labeled_graph_b_nat > $o] :
( ( ( ~ ( SV694 @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ SV757 @ SV810 ) ) )
| ~ ( SV790 @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ SV757 @ SV810 ) ) ) )
= $false )
| ( ( SV790 @ SV810 )
= $false )
| ( ( SV694 @ SV757 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4232]) ).
thf(4278,plain,
! [SV811: allegorical_term_b,SV792: allegorical_term_b,SV761: allegorical_term_b,SV698: allegorical_term_b] :
( ( ( ( ( produc1990145943term_b @ SV698 @ SV761 )
!= ( produc1990145943term_b @ SV792 @ SV811 ) )
| ~ ~ ( ( SV698 != SV792 )
| ( SV761 != SV811 ) ) )
= $false )
| ( ( ( produc1990145943term_b @ SV698 @ SV761 )
= ( produc1990145943term_b @ SV792 @ SV811 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4235]) ).
thf(4279,plain,
! [SV811: allegorical_term_b,SV761: allegorical_term_b,SV792: allegorical_term_b,SV698: allegorical_term_b] :
( ( ( ( SV698 != SV792 )
| ( SV761 != SV811 ) )
= $true )
| ( ( ~ ( ( ( produc1990145943term_b @ SV698 @ SV761 )
!= ( produc1990145943term_b @ SV792 @ SV811 ) )
| ~ ~ ( ( SV698 != SV792 )
| ( SV761 != SV811 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4236]) ).
thf(4280,plain,
! [SV765: produc1478835367term_b,SV702: allegorical_term_b] :
( ( ( SV702
= ( produc854192515term_b @ SV765 ) )
= $true )
| ( ( SV702
= ( produc854192515term_b @ SV765 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4237]) ).
thf(4281,plain,
! [SV702: allegorical_term_b,SV765: produc1478835367term_b] :
( ( ( ~ ! [SY1079: allegorical_term_b] :
( SV765
!= ( produc1990145943term_b @ SV702 @ SY1079 ) ) )
= $true )
| ( ( SV702
= ( produc854192515term_b @ SV765 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4238]) ).
thf(4282,plain,
! [SV816: allegorical_term_b,SV702: allegorical_term_b,SV765: produc1478835367term_b] :
( ( ( SV765
= ( produc1990145943term_b @ SV702 @ SV816 ) )
= $false )
| ( ( ~ ( ( SV702
!= ( produc854192515term_b @ SV765 ) )
| ~ ~ ! [SY1079: allegorical_term_b] :
( SV765
!= ( produc1990145943term_b @ SV702 @ SY1079 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4239]) ).
thf(4283,plain,
! [SV638: allegorical_term_b,SV710: produc1478835367term_b] :
( ( ( ! [SY1017: allegorical_term_b] :
( SV710
!= ( produc1990145943term_b @ SY1017 @ SV638 ) ) )
= $false )
| ( ( SV638
= ( produc1223098053term_b @ SV710 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4241]) ).
thf(4284,plain,
! [SV813: allegorical_term_b,SV710: produc1478835367term_b,SV638: allegorical_term_b] :
( ( ( ( SV638
!= ( produc1223098053term_b @ SV710 ) )
| ~ ~ ! [SY1017: allegorical_term_b] :
( SV710
!= ( produc1990145943term_b @ SY1017 @ SV638 ) ) )
= $false )
| ( ( SV710
= ( produc1990145943term_b @ SV813 @ SV638 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4242]) ).
thf(4285,plain,
! [SV798: produc1235635379_b_nat,SV716: produc1235635379_b_nat] :
( ( ( SV716 != SV798 )
= $false )
| ( ( SV716 = SV798 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4247]) ).
thf(4286,plain,
! [SV798: produc1235635379_b_nat,SV716: produc1235635379_b_nat] :
( ( ( ~ ~ ( ( ( produc1542243159_b_nat @ SV716 )
!= ( produc1542243159_b_nat @ SV798 ) )
| ( ( produc194497945_b_nat @ SV716 )
!= ( produc194497945_b_nat @ SV798 ) ) ) )
= $false )
| ( ( SV716 = SV798 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4247]) ).
thf(4287,plain,
! [SV798: produc1235635379_b_nat,SV716: produc1235635379_b_nat] :
( ( ( ( produc1542243159_b_nat @ SV716 )
!= ( produc1542243159_b_nat @ SV798 ) )
= $true )
| ( ( ( produc194497945_b_nat @ SV716 )
!= ( produc194497945_b_nat @ SV798 ) )
= $true )
| ( ( ~ ( ( SV716 != SV798 )
| ~ ~ ( ( ( produc1542243159_b_nat @ SV716 )
!= ( produc1542243159_b_nat @ SV798 ) )
| ( ( produc194497945_b_nat @ SV716 )
!= ( produc194497945_b_nat @ SV798 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4248]) ).
thf(4288,plain,
! [SV647: b] :
( ( graph_529870330at_nat @ ( produc1542243159_b_nat @ ( standa1360217389rule_b @ SV647 ) ) @ ( produc194497945_b_nat @ ( standa1360217389rule_b @ SV647 ) ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ ( standa1360217389rule_b @ SV647 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[4250]) ).
thf(4289,plain,
! [SV647: b] :
( ( ( produc194497945_b_nat @ ( standa1360217389rule_b @ SV647 ) )
= ( restrict_b_nat @ ( produc194497945_b_nat @ ( standa1360217389rule_b @ SV647 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[4251]) ).
thf(4290,plain,
! [SV801: allegorical_term_b,SV772: allegorical_term_b,SV719: allegorical_term_b,SV648: allegorical_term_b] :
( ( ( ( allegorical_A_Int_b @ SV648 @ SV719 )
!= ( allegorical_A_Int_b @ SV772 @ SV801 ) )
= $false )
| ( ( ( allegorical_A_Int_b @ SV648 @ SV719 )
= ( allegorical_A_Int_b @ SV772 @ SV801 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4252]) ).
thf(4291,plain,
! [SV801: allegorical_term_b,SV719: allegorical_term_b,SV772: allegorical_term_b,SV648: allegorical_term_b] :
( ( ( ~ ~ ( ( SV648 != SV772 )
| ( SV719 != SV801 ) ) )
= $false )
| ( ( ( allegorical_A_Int_b @ SV648 @ SV719 )
= ( allegorical_A_Int_b @ SV772 @ SV801 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4252]) ).
thf(4292,plain,
! [SV801: allegorical_term_b,SV719: allegorical_term_b,SV772: allegorical_term_b,SV648: allegorical_term_b] :
( ( ( SV648 != SV772 )
= $true )
| ( ( SV719 != SV801 )
= $true )
| ( ( ~ ( ( ( allegorical_A_Int_b @ SV648 @ SV719 )
!= ( allegorical_A_Int_b @ SV772 @ SV801 ) )
| ~ ~ ( ( SV648 != SV772 )
| ( SV719 != SV801 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4253]) ).
thf(4293,plain,
! [SV802: allegorical_term_b,SV773: allegorical_term_b,SV720: allegorical_term_b,SV649: allegorical_term_b] :
( ( ( ( produc1990145943term_b @ SV649 @ SV720 )
!= ( produc1990145943term_b @ SV773 @ SV802 ) )
= $false )
| ( ( ( produc1990145943term_b @ SV649 @ SV720 )
= ( produc1990145943term_b @ SV773 @ SV802 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4254]) ).
thf(4294,plain,
! [SV802: allegorical_term_b,SV720: allegorical_term_b,SV773: allegorical_term_b,SV649: allegorical_term_b] :
( ( ( ~ ~ ( ( SV649 != SV773 )
| ( SV720 != SV802 ) ) )
= $false )
| ( ( ( produc1990145943term_b @ SV649 @ SV720 )
= ( produc1990145943term_b @ SV773 @ SV802 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4254]) ).
thf(4295,plain,
! [SV802: allegorical_term_b,SV720: allegorical_term_b,SV773: allegorical_term_b,SV649: allegorical_term_b] :
( ( ( SV649 != SV773 )
= $true )
| ( ( SV720 != SV802 )
= $true )
| ( ( ~ ( ( ( produc1990145943term_b @ SV649 @ SV720 )
!= ( produc1990145943term_b @ SV773 @ SV802 ) )
| ~ ~ ( ( SV649 != SV773 )
| ( SV720 != SV802 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4255]) ).
thf(4296,plain,
! [SV774: allegorical_term_b > $o,SV803: allegorical_term_b,SV721: allegorical_term_b,SV650: allegorical_term_b > $o] :
( ( ( ~ ( SV650 @ ( produc854192515term_b @ ( produc1990145943term_b @ SV721 @ SV803 ) ) ) )
= $false )
| ( ( SV774 @ SV803 )
= $false )
| ( ( SV650 @ SV721 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4256]) ).
thf(4297,plain,
! [SV650: allegorical_term_b > $o,SV803: allegorical_term_b,SV721: allegorical_term_b,SV774: allegorical_term_b > $o] :
( ( ( ~ ( SV774 @ ( produc1223098053term_b @ ( produc1990145943term_b @ SV721 @ SV803 ) ) ) )
= $false )
| ( ( SV774 @ SV803 )
= $false )
| ( ( SV650 @ SV721 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4256]) ).
thf(4298,plain,
! [SV651: b] :
( ( graph_529870330at_nat @ ( produc1542243159_b_nat @ ( standa1329480013rule_b @ SV651 ) ) @ ( produc194497945_b_nat @ ( standa1329480013rule_b @ SV651 ) ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ ( standa1329480013rule_b @ SV651 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[4257]) ).
thf(4299,plain,
! [SV651: b] :
( ( ( produc194497945_b_nat @ ( standa1329480013rule_b @ SV651 ) )
= ( restrict_b_nat @ ( produc194497945_b_nat @ ( standa1329480013rule_b @ SV651 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[4258]) ).
thf(4300,plain,
! [SV805: produc1478835367term_b,SV730: produc1478835367term_b] :
( ( ( SV730 != SV805 )
= $false )
| ( ( SV730 = SV805 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4261]) ).
thf(4301,plain,
! [SV805: produc1478835367term_b,SV730: produc1478835367term_b] :
( ( ( ~ ~ ( ( ( produc854192515term_b @ SV730 )
!= ( produc854192515term_b @ SV805 ) )
| ( ( produc1223098053term_b @ SV730 )
!= ( produc1223098053term_b @ SV805 ) ) ) )
= $false )
| ( ( SV730 = SV805 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4261]) ).
thf(4302,plain,
! [SV805: produc1478835367term_b,SV730: produc1478835367term_b] :
( ( ( ( produc854192515term_b @ SV730 )
!= ( produc854192515term_b @ SV805 ) )
= $true )
| ( ( ( produc1223098053term_b @ SV730 )
!= ( produc1223098053term_b @ SV805 ) )
= $true )
| ( ( ~ ( ( SV730 != SV805 )
| ~ ~ ( ( ( produc854192515term_b @ SV730 )
!= ( produc854192515term_b @ SV805 ) )
| ( ( produc1223098053term_b @ SV730 )
!= ( produc1223098053term_b @ SV805 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4262]) ).
thf(4303,plain,
! [SV806: labeled_graph_b_nat,SV779: labeled_graph_b_nat,SV731: labeled_graph_b_nat,SV662: labeled_graph_b_nat] :
( ( ( ( produc951298923_b_nat @ SV662 @ SV731 )
!= ( produc951298923_b_nat @ SV779 @ SV806 ) )
= $false )
| ( ( ( produc951298923_b_nat @ SV662 @ SV731 )
= ( produc951298923_b_nat @ SV779 @ SV806 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4263]) ).
thf(4304,plain,
! [SV806: labeled_graph_b_nat,SV731: labeled_graph_b_nat,SV779: labeled_graph_b_nat,SV662: labeled_graph_b_nat] :
( ( ( ~ ~ ( ( SV662 != SV779 )
| ( SV731 != SV806 ) ) )
= $false )
| ( ( ( produc951298923_b_nat @ SV662 @ SV731 )
= ( produc951298923_b_nat @ SV779 @ SV806 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4263]) ).
thf(4305,plain,
! [SV806: labeled_graph_b_nat,SV731: labeled_graph_b_nat,SV779: labeled_graph_b_nat,SV662: labeled_graph_b_nat] :
( ( ( SV662 != SV779 )
= $true )
| ( ( SV731 != SV806 )
= $true )
| ( ( ~ ( ( ( produc951298923_b_nat @ SV662 @ SV731 )
!= ( produc951298923_b_nat @ SV779 @ SV806 ) )
| ~ ~ ( ( SV662 != SV779 )
| ( SV731 != SV806 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4264]) ).
thf(4306,plain,
! [SV665: labeled_graph_b_nat,SV733: produc1235635379_b_nat] :
( ( ( ! [SY1048: labeled_graph_b_nat] :
( SV733
!= ( produc951298923_b_nat @ SY1048 @ SV665 ) ) )
= $false )
| ( ( SV665
= ( produc194497945_b_nat @ SV733 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4266]) ).
thf(4307,plain,
! [SV814: labeled_graph_b_nat,SV733: produc1235635379_b_nat,SV665: labeled_graph_b_nat] :
( ( ( ( SV665
!= ( produc194497945_b_nat @ SV733 ) )
| ~ ~ ! [SY1048: labeled_graph_b_nat] :
( SV733
!= ( produc951298923_b_nat @ SY1048 @ SV665 ) ) )
= $false )
| ( ( SV733
= ( produc951298923_b_nat @ SV814 @ SV665 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4267]) ).
thf(4308,plain,
! [SV735: allegorical_term_b,SV667: allegorical_term_b] :
( ( ~ ( graph_529870330at_nat @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV667 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV667 @ SV735 ) ) ) ) @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV667 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV667 @ SV735 ) ) ) ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV667 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV667 @ SV735 ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[4268]) ).
thf(4309,plain,
! [SV735: allegorical_term_b,SV667: allegorical_term_b] :
( ( ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV667 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV667 @ SV735 ) ) ) )
!= ( restrict_b_nat @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV667 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV667 @ SV735 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[4268]) ).
thf(4310,plain,
! [SV669: labeled_graph_b_nat,SV737: produc1235635379_b_nat] :
( ( ( ! [SY1050: labeled_graph_b_nat] :
( SV737
!= ( produc951298923_b_nat @ SV669 @ SY1050 ) ) )
= $false )
| ( ( SV669
= ( produc1542243159_b_nat @ SV737 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4270]) ).
thf(4311,plain,
! [SV815: labeled_graph_b_nat,SV737: produc1235635379_b_nat,SV669: labeled_graph_b_nat] :
( ( ( ( SV669
!= ( produc1542243159_b_nat @ SV737 ) )
| ~ ~ ! [SY1050: labeled_graph_b_nat] :
( SV737
!= ( produc951298923_b_nat @ SV669 @ SY1050 ) ) )
= $false )
| ( ( SV737
= ( produc951298923_b_nat @ SV669 @ SV815 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4271]) ).
thf(4312,plain,
! [SV739: labeled_graph_b_nat,SV671: labeled_graph_b_nat] :
( ( ( ~ ~ ( ( SV671
!= ( restrict_b_nat @ SV671 ) )
| ( SV739
!= ( restrict_b_nat @ SV739 ) ) )
| ( ( graph_union_b_nat @ SV671 @ SV739 )
!= SV739 ) )
= $false )
| ( ( graph_529870330at_nat @ SV671 @ SV739 @ ( id_on_nat @ ( labele460410879_b_nat @ SV671 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4273]) ).
thf(4313,plain,
! [SV739: labeled_graph_b_nat,SV671: labeled_graph_b_nat] :
( ( ( ( SV671
!= ( restrict_b_nat @ SV671 ) )
| ( SV739
!= ( restrict_b_nat @ SV739 ) ) )
= $true )
| ( ( ( graph_union_b_nat @ SV671 @ SV739 )
!= SV739 )
= $true )
| ( ( ~ ( ~ ( graph_529870330at_nat @ SV671 @ SV739 @ ( id_on_nat @ ( labele460410879_b_nat @ SV671 ) ) )
| ~ ~ ( ~ ~ ( ( SV671
!= ( restrict_b_nat @ SV671 ) )
| ( SV739
!= ( restrict_b_nat @ SV739 ) ) )
| ( ( graph_union_b_nat @ SV671 @ SV739 )
!= SV739 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[4274]) ).
thf(4314,plain,
! [SV807: labeled_graph_b_nat,SV783: labeled_graph_b_nat,SV744: labeled_graph_b_nat,SV678: labeled_graph_b_nat] :
( ( ( ( produc951298923_b_nat @ SV678 @ SV744 )
!= ( produc951298923_b_nat @ SV783 @ SV807 ) )
= $false )
| ( ( ( produc951298923_b_nat @ SV678 @ SV744 )
= ( produc951298923_b_nat @ SV783 @ SV807 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4275]) ).
thf(4315,plain,
! [SV807: labeled_graph_b_nat,SV744: labeled_graph_b_nat,SV783: labeled_graph_b_nat,SV678: labeled_graph_b_nat] :
( ( ( ~ ~ ( ( SV678 != SV783 )
| ( SV744 != SV807 ) ) )
= $false )
| ( ( ( produc951298923_b_nat @ SV678 @ SV744 )
= ( produc951298923_b_nat @ SV783 @ SV807 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4275]) ).
thf(4316,plain,
! [SV807: labeled_graph_b_nat,SV744: labeled_graph_b_nat,SV783: labeled_graph_b_nat,SV678: labeled_graph_b_nat] :
( ( ( SV678 != SV783 )
= $true )
| ( ( SV744 != SV807 )
= $true )
| ( ( ~ ( ( ( produc951298923_b_nat @ SV678 @ SV744 )
!= ( produc951298923_b_nat @ SV783 @ SV807 ) )
| ~ ~ ( ( SV678 != SV783 )
| ( SV744 != SV807 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4276]) ).
thf(4317,plain,
! [SV790: labeled_graph_b_nat > $o,SV810: labeled_graph_b_nat,SV757: labeled_graph_b_nat,SV694: labeled_graph_b_nat > $o] :
( ( ( ~ ( SV694 @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ SV757 @ SV810 ) ) ) )
= $false )
| ( ( SV790 @ SV810 )
= $false )
| ( ( SV694 @ SV757 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4277]) ).
thf(4318,plain,
! [SV694: labeled_graph_b_nat > $o,SV810: labeled_graph_b_nat,SV757: labeled_graph_b_nat,SV790: labeled_graph_b_nat > $o] :
( ( ( ~ ( SV790 @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ SV757 @ SV810 ) ) ) )
= $false )
| ( ( SV790 @ SV810 )
= $false )
| ( ( SV694 @ SV757 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4277]) ).
thf(4319,plain,
! [SV811: allegorical_term_b,SV792: allegorical_term_b,SV761: allegorical_term_b,SV698: allegorical_term_b] :
( ( ( ( produc1990145943term_b @ SV698 @ SV761 )
!= ( produc1990145943term_b @ SV792 @ SV811 ) )
= $false )
| ( ( ( produc1990145943term_b @ SV698 @ SV761 )
= ( produc1990145943term_b @ SV792 @ SV811 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4278]) ).
thf(4320,plain,
! [SV811: allegorical_term_b,SV761: allegorical_term_b,SV792: allegorical_term_b,SV698: allegorical_term_b] :
( ( ( ~ ~ ( ( SV698 != SV792 )
| ( SV761 != SV811 ) ) )
= $false )
| ( ( ( produc1990145943term_b @ SV698 @ SV761 )
= ( produc1990145943term_b @ SV792 @ SV811 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4278]) ).
thf(4321,plain,
! [SV811: allegorical_term_b,SV761: allegorical_term_b,SV792: allegorical_term_b,SV698: allegorical_term_b] :
( ( ( SV698 != SV792 )
= $true )
| ( ( SV761 != SV811 )
= $true )
| ( ( ~ ( ( ( produc1990145943term_b @ SV698 @ SV761 )
!= ( produc1990145943term_b @ SV792 @ SV811 ) )
| ~ ~ ( ( SV698 != SV792 )
| ( SV761 != SV811 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4279]) ).
thf(4322,plain,
! [SV702: allegorical_term_b,SV765: produc1478835367term_b] :
( ( ( ! [SY1079: allegorical_term_b] :
( SV765
!= ( produc1990145943term_b @ SV702 @ SY1079 ) ) )
= $false )
| ( ( SV702
= ( produc854192515term_b @ SV765 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4281]) ).
thf(4323,plain,
! [SV816: allegorical_term_b,SV765: produc1478835367term_b,SV702: allegorical_term_b] :
( ( ( ( SV702
!= ( produc854192515term_b @ SV765 ) )
| ~ ~ ! [SY1079: allegorical_term_b] :
( SV765
!= ( produc1990145943term_b @ SV702 @ SY1079 ) ) )
= $false )
| ( ( SV765
= ( produc1990145943term_b @ SV702 @ SV816 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4282]) ).
thf(4324,plain,
! [SV638: allegorical_term_b,SV710: produc1478835367term_b] :
( ( ( SV710
!= ( produc1990145943term_b @ ( sK105_SY1017 @ SV638 @ SV710 ) @ SV638 ) )
= $false )
| ( ( SV638
= ( produc1223098053term_b @ SV710 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[4283]) ).
thf(4325,plain,
! [SV813: allegorical_term_b,SV710: produc1478835367term_b,SV638: allegorical_term_b] :
( ( ( SV638
!= ( produc1223098053term_b @ SV710 ) )
= $false )
| ( ( SV710
= ( produc1990145943term_b @ SV813 @ SV638 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4284]) ).
thf(4326,plain,
! [SV813: allegorical_term_b,SV638: allegorical_term_b,SV710: produc1478835367term_b] :
( ( ( ~ ~ ! [SY1017: allegorical_term_b] :
( SV710
!= ( produc1990145943term_b @ SY1017 @ SV638 ) ) )
= $false )
| ( ( SV710
= ( produc1990145943term_b @ SV813 @ SV638 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4284]) ).
thf(4327,plain,
! [SV798: produc1235635379_b_nat,SV716: produc1235635379_b_nat] :
( ( ( SV716 = SV798 )
= $true )
| ( ( SV716 = SV798 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4285]) ).
thf(4328,plain,
! [SV798: produc1235635379_b_nat,SV716: produc1235635379_b_nat] :
( ( ( ~ ( ( ( produc1542243159_b_nat @ SV716 )
!= ( produc1542243159_b_nat @ SV798 ) )
| ( ( produc194497945_b_nat @ SV716 )
!= ( produc194497945_b_nat @ SV798 ) ) ) )
= $true )
| ( ( SV716 = SV798 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4286]) ).
thf(4329,plain,
! [SV798: produc1235635379_b_nat,SV716: produc1235635379_b_nat] :
( ( ( ( produc1542243159_b_nat @ SV716 )
= ( produc1542243159_b_nat @ SV798 ) )
= $false )
| ( ( ( produc194497945_b_nat @ SV716 )
!= ( produc194497945_b_nat @ SV798 ) )
= $true )
| ( ( ~ ( ( SV716 != SV798 )
| ~ ~ ( ( ( produc1542243159_b_nat @ SV716 )
!= ( produc1542243159_b_nat @ SV798 ) )
| ( ( produc194497945_b_nat @ SV716 )
!= ( produc194497945_b_nat @ SV798 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4287]) ).
thf(4330,plain,
! [SV801: allegorical_term_b,SV772: allegorical_term_b,SV719: allegorical_term_b,SV648: allegorical_term_b] :
( ( ( ( allegorical_A_Int_b @ SV648 @ SV719 )
= ( allegorical_A_Int_b @ SV772 @ SV801 ) )
= $true )
| ( ( ( allegorical_A_Int_b @ SV648 @ SV719 )
= ( allegorical_A_Int_b @ SV772 @ SV801 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4290]) ).
thf(4331,plain,
! [SV801: allegorical_term_b,SV719: allegorical_term_b,SV772: allegorical_term_b,SV648: allegorical_term_b] :
( ( ( ~ ( ( SV648 != SV772 )
| ( SV719 != SV801 ) ) )
= $true )
| ( ( ( allegorical_A_Int_b @ SV648 @ SV719 )
= ( allegorical_A_Int_b @ SV772 @ SV801 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4291]) ).
thf(4332,plain,
! [SV801: allegorical_term_b,SV719: allegorical_term_b,SV772: allegorical_term_b,SV648: allegorical_term_b] :
( ( ( SV648 = SV772 )
= $false )
| ( ( SV719 != SV801 )
= $true )
| ( ( ~ ( ( ( allegorical_A_Int_b @ SV648 @ SV719 )
!= ( allegorical_A_Int_b @ SV772 @ SV801 ) )
| ~ ~ ( ( SV648 != SV772 )
| ( SV719 != SV801 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4292]) ).
thf(4333,plain,
! [SV802: allegorical_term_b,SV773: allegorical_term_b,SV720: allegorical_term_b,SV649: allegorical_term_b] :
( ( ( ( produc1990145943term_b @ SV649 @ SV720 )
= ( produc1990145943term_b @ SV773 @ SV802 ) )
= $true )
| ( ( ( produc1990145943term_b @ SV649 @ SV720 )
= ( produc1990145943term_b @ SV773 @ SV802 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4293]) ).
thf(4334,plain,
! [SV802: allegorical_term_b,SV720: allegorical_term_b,SV773: allegorical_term_b,SV649: allegorical_term_b] :
( ( ( ~ ( ( SV649 != SV773 )
| ( SV720 != SV802 ) ) )
= $true )
| ( ( ( produc1990145943term_b @ SV649 @ SV720 )
= ( produc1990145943term_b @ SV773 @ SV802 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4294]) ).
thf(4335,plain,
! [SV802: allegorical_term_b,SV720: allegorical_term_b,SV773: allegorical_term_b,SV649: allegorical_term_b] :
( ( ( SV649 = SV773 )
= $false )
| ( ( SV720 != SV802 )
= $true )
| ( ( ~ ( ( ( produc1990145943term_b @ SV649 @ SV720 )
!= ( produc1990145943term_b @ SV773 @ SV802 ) )
| ~ ~ ( ( SV649 != SV773 )
| ( SV720 != SV802 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4295]) ).
thf(4336,plain,
! [SV774: allegorical_term_b > $o,SV803: allegorical_term_b,SV721: allegorical_term_b,SV650: allegorical_term_b > $o] :
( ( ( SV650 @ ( produc854192515term_b @ ( produc1990145943term_b @ SV721 @ SV803 ) ) )
= $true )
| ( ( SV774 @ SV803 )
= $false )
| ( ( SV650 @ SV721 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4296]) ).
thf(4337,plain,
! [SV650: allegorical_term_b > $o,SV803: allegorical_term_b,SV721: allegorical_term_b,SV774: allegorical_term_b > $o] :
( ( ( SV774 @ ( produc1223098053term_b @ ( produc1990145943term_b @ SV721 @ SV803 ) ) )
= $true )
| ( ( SV774 @ SV803 )
= $false )
| ( ( SV650 @ SV721 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4297]) ).
thf(4338,plain,
! [SV805: produc1478835367term_b,SV730: produc1478835367term_b] :
( ( ( SV730 = SV805 )
= $true )
| ( ( SV730 = SV805 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4300]) ).
thf(4339,plain,
! [SV805: produc1478835367term_b,SV730: produc1478835367term_b] :
( ( ( ~ ( ( ( produc854192515term_b @ SV730 )
!= ( produc854192515term_b @ SV805 ) )
| ( ( produc1223098053term_b @ SV730 )
!= ( produc1223098053term_b @ SV805 ) ) ) )
= $true )
| ( ( SV730 = SV805 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4301]) ).
thf(4340,plain,
! [SV805: produc1478835367term_b,SV730: produc1478835367term_b] :
( ( ( ( produc854192515term_b @ SV730 )
= ( produc854192515term_b @ SV805 ) )
= $false )
| ( ( ( produc1223098053term_b @ SV730 )
!= ( produc1223098053term_b @ SV805 ) )
= $true )
| ( ( ~ ( ( SV730 != SV805 )
| ~ ~ ( ( ( produc854192515term_b @ SV730 )
!= ( produc854192515term_b @ SV805 ) )
| ( ( produc1223098053term_b @ SV730 )
!= ( produc1223098053term_b @ SV805 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4302]) ).
thf(4341,plain,
! [SV806: labeled_graph_b_nat,SV779: labeled_graph_b_nat,SV731: labeled_graph_b_nat,SV662: labeled_graph_b_nat] :
( ( ( ( produc951298923_b_nat @ SV662 @ SV731 )
= ( produc951298923_b_nat @ SV779 @ SV806 ) )
= $true )
| ( ( ( produc951298923_b_nat @ SV662 @ SV731 )
= ( produc951298923_b_nat @ SV779 @ SV806 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4303]) ).
thf(4342,plain,
! [SV806: labeled_graph_b_nat,SV731: labeled_graph_b_nat,SV779: labeled_graph_b_nat,SV662: labeled_graph_b_nat] :
( ( ( ~ ( ( SV662 != SV779 )
| ( SV731 != SV806 ) ) )
= $true )
| ( ( ( produc951298923_b_nat @ SV662 @ SV731 )
= ( produc951298923_b_nat @ SV779 @ SV806 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4304]) ).
thf(4343,plain,
! [SV806: labeled_graph_b_nat,SV731: labeled_graph_b_nat,SV779: labeled_graph_b_nat,SV662: labeled_graph_b_nat] :
( ( ( SV662 = SV779 )
= $false )
| ( ( SV731 != SV806 )
= $true )
| ( ( ~ ( ( ( produc951298923_b_nat @ SV662 @ SV731 )
!= ( produc951298923_b_nat @ SV779 @ SV806 ) )
| ~ ~ ( ( SV662 != SV779 )
| ( SV731 != SV806 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4305]) ).
thf(4344,plain,
! [SV665: labeled_graph_b_nat,SV733: produc1235635379_b_nat] :
( ( ( SV733
!= ( produc951298923_b_nat @ ( sK106_SY1048 @ SV665 @ SV733 ) @ SV665 ) )
= $false )
| ( ( SV665
= ( produc194497945_b_nat @ SV733 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[4306]) ).
thf(4345,plain,
! [SV814: labeled_graph_b_nat,SV733: produc1235635379_b_nat,SV665: labeled_graph_b_nat] :
( ( ( SV665
!= ( produc194497945_b_nat @ SV733 ) )
= $false )
| ( ( SV733
= ( produc951298923_b_nat @ SV814 @ SV665 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4307]) ).
thf(4346,plain,
! [SV814: labeled_graph_b_nat,SV665: labeled_graph_b_nat,SV733: produc1235635379_b_nat] :
( ( ( ~ ~ ! [SY1048: labeled_graph_b_nat] :
( SV733
!= ( produc951298923_b_nat @ SY1048 @ SV665 ) ) )
= $false )
| ( ( SV733
= ( produc951298923_b_nat @ SV814 @ SV665 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4307]) ).
thf(4347,plain,
! [SV735: allegorical_term_b,SV667: allegorical_term_b] :
( ( graph_529870330at_nat @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV667 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV667 @ SV735 ) ) ) ) @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV667 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV667 @ SV735 ) ) ) ) @ ( id_on_nat @ ( labele460410879_b_nat @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV667 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV667 @ SV735 ) ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[4308]) ).
thf(4348,plain,
! [SV735: allegorical_term_b,SV667: allegorical_term_b] :
( ( ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV667 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV667 @ SV735 ) ) ) )
= ( restrict_b_nat @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ ( translation_b @ SV667 ) @ ( translation_b @ ( allegorical_A_Int_b @ SV667 @ SV735 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[4309]) ).
thf(4349,plain,
! [SV669: labeled_graph_b_nat,SV737: produc1235635379_b_nat] :
( ( ( SV737
!= ( produc951298923_b_nat @ SV669 @ ( sK107_SY1050 @ SV669 @ SV737 ) ) )
= $false )
| ( ( SV669
= ( produc1542243159_b_nat @ SV737 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[4310]) ).
thf(4350,plain,
! [SV815: labeled_graph_b_nat,SV737: produc1235635379_b_nat,SV669: labeled_graph_b_nat] :
( ( ( SV669
!= ( produc1542243159_b_nat @ SV737 ) )
= $false )
| ( ( SV737
= ( produc951298923_b_nat @ SV669 @ SV815 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4311]) ).
thf(4351,plain,
! [SV815: labeled_graph_b_nat,SV669: labeled_graph_b_nat,SV737: produc1235635379_b_nat] :
( ( ( ~ ~ ! [SY1050: labeled_graph_b_nat] :
( SV737
!= ( produc951298923_b_nat @ SV669 @ SY1050 ) ) )
= $false )
| ( ( SV737
= ( produc951298923_b_nat @ SV669 @ SV815 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4311]) ).
thf(4352,plain,
! [SV739: labeled_graph_b_nat,SV671: labeled_graph_b_nat] :
( ( ( ~ ~ ( ( SV671
!= ( restrict_b_nat @ SV671 ) )
| ( SV739
!= ( restrict_b_nat @ SV739 ) ) ) )
= $false )
| ( ( graph_529870330at_nat @ SV671 @ SV739 @ ( id_on_nat @ ( labele460410879_b_nat @ SV671 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4312]) ).
thf(4353,plain,
! [SV739: labeled_graph_b_nat,SV671: labeled_graph_b_nat] :
( ( ( ( graph_union_b_nat @ SV671 @ SV739 )
!= SV739 )
= $false )
| ( ( graph_529870330at_nat @ SV671 @ SV739 @ ( id_on_nat @ ( labele460410879_b_nat @ SV671 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4312]) ).
thf(4354,plain,
! [SV739: labeled_graph_b_nat,SV671: labeled_graph_b_nat] :
( ( ( SV671
!= ( restrict_b_nat @ SV671 ) )
= $true )
| ( ( SV739
!= ( restrict_b_nat @ SV739 ) )
= $true )
| ( ( ( graph_union_b_nat @ SV671 @ SV739 )
!= SV739 )
= $true )
| ( ( ~ ( ~ ( graph_529870330at_nat @ SV671 @ SV739 @ ( id_on_nat @ ( labele460410879_b_nat @ SV671 ) ) )
| ~ ~ ( ~ ~ ( ( SV671
!= ( restrict_b_nat @ SV671 ) )
| ( SV739
!= ( restrict_b_nat @ SV739 ) ) )
| ( ( graph_union_b_nat @ SV671 @ SV739 )
!= SV739 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4313]) ).
thf(4355,plain,
! [SV807: labeled_graph_b_nat,SV783: labeled_graph_b_nat,SV744: labeled_graph_b_nat,SV678: labeled_graph_b_nat] :
( ( ( ( produc951298923_b_nat @ SV678 @ SV744 )
= ( produc951298923_b_nat @ SV783 @ SV807 ) )
= $true )
| ( ( ( produc951298923_b_nat @ SV678 @ SV744 )
= ( produc951298923_b_nat @ SV783 @ SV807 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4314]) ).
thf(4356,plain,
! [SV807: labeled_graph_b_nat,SV744: labeled_graph_b_nat,SV783: labeled_graph_b_nat,SV678: labeled_graph_b_nat] :
( ( ( ~ ( ( SV678 != SV783 )
| ( SV744 != SV807 ) ) )
= $true )
| ( ( ( produc951298923_b_nat @ SV678 @ SV744 )
= ( produc951298923_b_nat @ SV783 @ SV807 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4315]) ).
thf(4357,plain,
! [SV807: labeled_graph_b_nat,SV744: labeled_graph_b_nat,SV783: labeled_graph_b_nat,SV678: labeled_graph_b_nat] :
( ( ( SV678 = SV783 )
= $false )
| ( ( SV744 != SV807 )
= $true )
| ( ( ~ ( ( ( produc951298923_b_nat @ SV678 @ SV744 )
!= ( produc951298923_b_nat @ SV783 @ SV807 ) )
| ~ ~ ( ( SV678 != SV783 )
| ( SV744 != SV807 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4316]) ).
thf(4358,plain,
! [SV790: labeled_graph_b_nat > $o,SV810: labeled_graph_b_nat,SV757: labeled_graph_b_nat,SV694: labeled_graph_b_nat > $o] :
( ( ( SV694 @ ( produc1542243159_b_nat @ ( produc951298923_b_nat @ SV757 @ SV810 ) ) )
= $true )
| ( ( SV790 @ SV810 )
= $false )
| ( ( SV694 @ SV757 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4317]) ).
thf(4359,plain,
! [SV694: labeled_graph_b_nat > $o,SV810: labeled_graph_b_nat,SV757: labeled_graph_b_nat,SV790: labeled_graph_b_nat > $o] :
( ( ( SV790 @ ( produc194497945_b_nat @ ( produc951298923_b_nat @ SV757 @ SV810 ) ) )
= $true )
| ( ( SV790 @ SV810 )
= $false )
| ( ( SV694 @ SV757 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4318]) ).
thf(4360,plain,
! [SV811: allegorical_term_b,SV792: allegorical_term_b,SV761: allegorical_term_b,SV698: allegorical_term_b] :
( ( ( ( produc1990145943term_b @ SV698 @ SV761 )
= ( produc1990145943term_b @ SV792 @ SV811 ) )
= $true )
| ( ( ( produc1990145943term_b @ SV698 @ SV761 )
= ( produc1990145943term_b @ SV792 @ SV811 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4319]) ).
thf(4361,plain,
! [SV811: allegorical_term_b,SV761: allegorical_term_b,SV792: allegorical_term_b,SV698: allegorical_term_b] :
( ( ( ~ ( ( SV698 != SV792 )
| ( SV761 != SV811 ) ) )
= $true )
| ( ( ( produc1990145943term_b @ SV698 @ SV761 )
= ( produc1990145943term_b @ SV792 @ SV811 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4320]) ).
thf(4362,plain,
! [SV811: allegorical_term_b,SV761: allegorical_term_b,SV792: allegorical_term_b,SV698: allegorical_term_b] :
( ( ( SV698 = SV792 )
= $false )
| ( ( SV761 != SV811 )
= $true )
| ( ( ~ ( ( ( produc1990145943term_b @ SV698 @ SV761 )
!= ( produc1990145943term_b @ SV792 @ SV811 ) )
| ~ ~ ( ( SV698 != SV792 )
| ( SV761 != SV811 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4321]) ).
thf(4363,plain,
! [SV702: allegorical_term_b,SV765: produc1478835367term_b] :
( ( ( SV765
!= ( produc1990145943term_b @ SV702 @ ( sK108_SY1079 @ SV702 @ SV765 ) ) )
= $false )
| ( ( SV702
= ( produc854192515term_b @ SV765 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[4322]) ).
thf(4364,plain,
! [SV816: allegorical_term_b,SV765: produc1478835367term_b,SV702: allegorical_term_b] :
( ( ( SV702
!= ( produc854192515term_b @ SV765 ) )
= $false )
| ( ( SV765
= ( produc1990145943term_b @ SV702 @ SV816 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4323]) ).
thf(4365,plain,
! [SV816: allegorical_term_b,SV702: allegorical_term_b,SV765: produc1478835367term_b] :
( ( ( ~ ~ ! [SY1079: allegorical_term_b] :
( SV765
!= ( produc1990145943term_b @ SV702 @ SY1079 ) ) )
= $false )
| ( ( SV765
= ( produc1990145943term_b @ SV702 @ SV816 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4323]) ).
thf(4366,plain,
! [SV638: allegorical_term_b,SV710: produc1478835367term_b] :
( ( ( SV710
= ( produc1990145943term_b @ ( sK105_SY1017 @ SV638 @ SV710 ) @ SV638 ) )
= $true )
| ( ( SV638
= ( produc1223098053term_b @ SV710 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4324]) ).
thf(4367,plain,
! [SV813: allegorical_term_b,SV710: produc1478835367term_b,SV638: allegorical_term_b] :
( ( ( SV638
= ( produc1223098053term_b @ SV710 ) )
= $true )
| ( ( SV710
= ( produc1990145943term_b @ SV813 @ SV638 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4325]) ).
thf(4368,plain,
! [SV813: allegorical_term_b,SV638: allegorical_term_b,SV710: produc1478835367term_b] :
( ( ( ~ ! [SY1017: allegorical_term_b] :
( SV710
!= ( produc1990145943term_b @ SY1017 @ SV638 ) ) )
= $true )
| ( ( SV710
= ( produc1990145943term_b @ SV813 @ SV638 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4326]) ).
thf(4369,plain,
! [SV798: produc1235635379_b_nat,SV716: produc1235635379_b_nat] :
( ( ( ( ( produc1542243159_b_nat @ SV716 )
!= ( produc1542243159_b_nat @ SV798 ) )
| ( ( produc194497945_b_nat @ SV716 )
!= ( produc194497945_b_nat @ SV798 ) ) )
= $false )
| ( ( SV716 = SV798 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4328]) ).
thf(4370,plain,
! [SV798: produc1235635379_b_nat,SV716: produc1235635379_b_nat] :
( ( ( ( produc194497945_b_nat @ SV716 )
= ( produc194497945_b_nat @ SV798 ) )
= $false )
| ( ( ( produc1542243159_b_nat @ SV716 )
= ( produc1542243159_b_nat @ SV798 ) )
= $false )
| ( ( ~ ( ( SV716 != SV798 )
| ~ ~ ( ( ( produc1542243159_b_nat @ SV716 )
!= ( produc1542243159_b_nat @ SV798 ) )
| ( ( produc194497945_b_nat @ SV716 )
!= ( produc194497945_b_nat @ SV798 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4329]) ).
thf(4371,plain,
! [SV801: allegorical_term_b,SV719: allegorical_term_b,SV772: allegorical_term_b,SV648: allegorical_term_b] :
( ( ( ( SV648 != SV772 )
| ( SV719 != SV801 ) )
= $false )
| ( ( ( allegorical_A_Int_b @ SV648 @ SV719 )
= ( allegorical_A_Int_b @ SV772 @ SV801 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4331]) ).
thf(4372,plain,
! [SV772: allegorical_term_b,SV648: allegorical_term_b,SV801: allegorical_term_b,SV719: allegorical_term_b] :
( ( ( SV719 = SV801 )
= $false )
| ( ( SV648 = SV772 )
= $false )
| ( ( ~ ( ( ( allegorical_A_Int_b @ SV648 @ SV719 )
!= ( allegorical_A_Int_b @ SV772 @ SV801 ) )
| ~ ~ ( ( SV648 != SV772 )
| ( SV719 != SV801 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4332]) ).
thf(4373,plain,
! [SV802: allegorical_term_b,SV720: allegorical_term_b,SV773: allegorical_term_b,SV649: allegorical_term_b] :
( ( ( ( SV649 != SV773 )
| ( SV720 != SV802 ) )
= $false )
| ( ( ( produc1990145943term_b @ SV649 @ SV720 )
= ( produc1990145943term_b @ SV773 @ SV802 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4334]) ).
thf(4374,plain,
! [SV773: allegorical_term_b,SV649: allegorical_term_b,SV802: allegorical_term_b,SV720: allegorical_term_b] :
( ( ( SV720 = SV802 )
= $false )
| ( ( SV649 = SV773 )
= $false )
| ( ( ~ ( ( ( produc1990145943term_b @ SV649 @ SV720 )
!= ( produc1990145943term_b @ SV773 @ SV802 ) )
| ~ ~ ( ( SV649 != SV773 )
| ( SV720 != SV802 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4335]) ).
thf(4375,plain,
! [SV805: produc1478835367term_b,SV730: produc1478835367term_b] :
( ( ( ( ( produc854192515term_b @ SV730 )
!= ( produc854192515term_b @ SV805 ) )
| ( ( produc1223098053term_b @ SV730 )
!= ( produc1223098053term_b @ SV805 ) ) )
= $false )
| ( ( SV730 = SV805 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4339]) ).
thf(4376,plain,
! [SV805: produc1478835367term_b,SV730: produc1478835367term_b] :
( ( ( ( produc1223098053term_b @ SV730 )
= ( produc1223098053term_b @ SV805 ) )
= $false )
| ( ( ( produc854192515term_b @ SV730 )
= ( produc854192515term_b @ SV805 ) )
= $false )
| ( ( ~ ( ( SV730 != SV805 )
| ~ ~ ( ( ( produc854192515term_b @ SV730 )
!= ( produc854192515term_b @ SV805 ) )
| ( ( produc1223098053term_b @ SV730 )
!= ( produc1223098053term_b @ SV805 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4340]) ).
thf(4377,plain,
! [SV806: labeled_graph_b_nat,SV731: labeled_graph_b_nat,SV779: labeled_graph_b_nat,SV662: labeled_graph_b_nat] :
( ( ( ( SV662 != SV779 )
| ( SV731 != SV806 ) )
= $false )
| ( ( ( produc951298923_b_nat @ SV662 @ SV731 )
= ( produc951298923_b_nat @ SV779 @ SV806 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4342]) ).
thf(4378,plain,
! [SV779: labeled_graph_b_nat,SV662: labeled_graph_b_nat,SV806: labeled_graph_b_nat,SV731: labeled_graph_b_nat] :
( ( ( SV731 = SV806 )
= $false )
| ( ( SV662 = SV779 )
= $false )
| ( ( ~ ( ( ( produc951298923_b_nat @ SV662 @ SV731 )
!= ( produc951298923_b_nat @ SV779 @ SV806 ) )
| ~ ~ ( ( SV662 != SV779 )
| ( SV731 != SV806 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4343]) ).
thf(4379,plain,
! [SV665: labeled_graph_b_nat,SV733: produc1235635379_b_nat] :
( ( ( SV733
= ( produc951298923_b_nat @ ( sK106_SY1048 @ SV665 @ SV733 ) @ SV665 ) )
= $true )
| ( ( SV665
= ( produc194497945_b_nat @ SV733 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4344]) ).
thf(4380,plain,
! [SV814: labeled_graph_b_nat,SV733: produc1235635379_b_nat,SV665: labeled_graph_b_nat] :
( ( ( SV665
= ( produc194497945_b_nat @ SV733 ) )
= $true )
| ( ( SV733
= ( produc951298923_b_nat @ SV814 @ SV665 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4345]) ).
thf(4381,plain,
! [SV814: labeled_graph_b_nat,SV665: labeled_graph_b_nat,SV733: produc1235635379_b_nat] :
( ( ( ~ ! [SY1048: labeled_graph_b_nat] :
( SV733
!= ( produc951298923_b_nat @ SY1048 @ SV665 ) ) )
= $true )
| ( ( SV733
= ( produc951298923_b_nat @ SV814 @ SV665 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4346]) ).
thf(4382,plain,
! [SV669: labeled_graph_b_nat,SV737: produc1235635379_b_nat] :
( ( ( SV737
= ( produc951298923_b_nat @ SV669 @ ( sK107_SY1050 @ SV669 @ SV737 ) ) )
= $true )
| ( ( SV669
= ( produc1542243159_b_nat @ SV737 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4349]) ).
thf(4383,plain,
! [SV815: labeled_graph_b_nat,SV737: produc1235635379_b_nat,SV669: labeled_graph_b_nat] :
( ( ( SV669
= ( produc1542243159_b_nat @ SV737 ) )
= $true )
| ( ( SV737
= ( produc951298923_b_nat @ SV669 @ SV815 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4350]) ).
thf(4384,plain,
! [SV815: labeled_graph_b_nat,SV669: labeled_graph_b_nat,SV737: produc1235635379_b_nat] :
( ( ( ~ ! [SY1050: labeled_graph_b_nat] :
( SV737
!= ( produc951298923_b_nat @ SV669 @ SY1050 ) ) )
= $true )
| ( ( SV737
= ( produc951298923_b_nat @ SV669 @ SV815 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4351]) ).
thf(4385,plain,
! [SV739: labeled_graph_b_nat,SV671: labeled_graph_b_nat] :
( ( ( ~ ( ( SV671
!= ( restrict_b_nat @ SV671 ) )
| ( SV739
!= ( restrict_b_nat @ SV739 ) ) ) )
= $true )
| ( ( graph_529870330at_nat @ SV671 @ SV739 @ ( id_on_nat @ ( labele460410879_b_nat @ SV671 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4352]) ).
thf(4386,plain,
! [SV739: labeled_graph_b_nat,SV671: labeled_graph_b_nat] :
( ( ( ( graph_union_b_nat @ SV671 @ SV739 )
= SV739 )
= $true )
| ( ( graph_529870330at_nat @ SV671 @ SV739 @ ( id_on_nat @ ( labele460410879_b_nat @ SV671 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4353]) ).
thf(4387,plain,
! [SV739: labeled_graph_b_nat,SV671: labeled_graph_b_nat] :
( ( ( SV671
= ( restrict_b_nat @ SV671 ) )
= $false )
| ( ( SV739
!= ( restrict_b_nat @ SV739 ) )
= $true )
| ( ( ( graph_union_b_nat @ SV671 @ SV739 )
!= SV739 )
= $true )
| ( ( ~ ( ~ ( graph_529870330at_nat @ SV671 @ SV739 @ ( id_on_nat @ ( labele460410879_b_nat @ SV671 ) ) )
| ~ ~ ( ~ ~ ( ( SV671
!= ( restrict_b_nat @ SV671 ) )
| ( SV739
!= ( restrict_b_nat @ SV739 ) ) )
| ( ( graph_union_b_nat @ SV671 @ SV739 )
!= SV739 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4354]) ).
thf(4388,plain,
! [SV807: labeled_graph_b_nat,SV744: labeled_graph_b_nat,SV783: labeled_graph_b_nat,SV678: labeled_graph_b_nat] :
( ( ( ( SV678 != SV783 )
| ( SV744 != SV807 ) )
= $false )
| ( ( ( produc951298923_b_nat @ SV678 @ SV744 )
= ( produc951298923_b_nat @ SV783 @ SV807 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4356]) ).
thf(4389,plain,
! [SV783: labeled_graph_b_nat,SV678: labeled_graph_b_nat,SV807: labeled_graph_b_nat,SV744: labeled_graph_b_nat] :
( ( ( SV744 = SV807 )
= $false )
| ( ( SV678 = SV783 )
= $false )
| ( ( ~ ( ( ( produc951298923_b_nat @ SV678 @ SV744 )
!= ( produc951298923_b_nat @ SV783 @ SV807 ) )
| ~ ~ ( ( SV678 != SV783 )
| ( SV744 != SV807 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4357]) ).
thf(4390,plain,
! [SV811: allegorical_term_b,SV761: allegorical_term_b,SV792: allegorical_term_b,SV698: allegorical_term_b] :
( ( ( ( SV698 != SV792 )
| ( SV761 != SV811 ) )
= $false )
| ( ( ( produc1990145943term_b @ SV698 @ SV761 )
= ( produc1990145943term_b @ SV792 @ SV811 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4361]) ).
thf(4391,plain,
! [SV792: allegorical_term_b,SV698: allegorical_term_b,SV811: allegorical_term_b,SV761: allegorical_term_b] :
( ( ( SV761 = SV811 )
= $false )
| ( ( SV698 = SV792 )
= $false )
| ( ( ~ ( ( ( produc1990145943term_b @ SV698 @ SV761 )
!= ( produc1990145943term_b @ SV792 @ SV811 ) )
| ~ ~ ( ( SV698 != SV792 )
| ( SV761 != SV811 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4362]) ).
thf(4392,plain,
! [SV702: allegorical_term_b,SV765: produc1478835367term_b] :
( ( ( SV765
= ( produc1990145943term_b @ SV702 @ ( sK108_SY1079 @ SV702 @ SV765 ) ) )
= $true )
| ( ( SV702
= ( produc854192515term_b @ SV765 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4363]) ).
thf(4393,plain,
! [SV816: allegorical_term_b,SV765: produc1478835367term_b,SV702: allegorical_term_b] :
( ( ( SV702
= ( produc854192515term_b @ SV765 ) )
= $true )
| ( ( SV765
= ( produc1990145943term_b @ SV702 @ SV816 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4364]) ).
thf(4394,plain,
! [SV816: allegorical_term_b,SV702: allegorical_term_b,SV765: produc1478835367term_b] :
( ( ( ~ ! [SY1079: allegorical_term_b] :
( SV765
!= ( produc1990145943term_b @ SV702 @ SY1079 ) ) )
= $true )
| ( ( SV765
= ( produc1990145943term_b @ SV702 @ SV816 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4365]) ).
thf(4395,plain,
! [SV813: allegorical_term_b,SV638: allegorical_term_b,SV710: produc1478835367term_b] :
( ( ( ! [SY1017: allegorical_term_b] :
( SV710
!= ( produc1990145943term_b @ SY1017 @ SV638 ) ) )
= $false )
| ( ( SV710
= ( produc1990145943term_b @ SV813 @ SV638 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4368]) ).
thf(4396,plain,
! [SV798: produc1235635379_b_nat,SV716: produc1235635379_b_nat] :
( ( ( ( produc1542243159_b_nat @ SV716 )
!= ( produc1542243159_b_nat @ SV798 ) )
= $false )
| ( ( SV716 = SV798 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4369]) ).
thf(4397,plain,
! [SV798: produc1235635379_b_nat,SV716: produc1235635379_b_nat] :
( ( ( ( produc194497945_b_nat @ SV716 )
!= ( produc194497945_b_nat @ SV798 ) )
= $false )
| ( ( SV716 = SV798 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4369]) ).
thf(4398,plain,
! [SV798: produc1235635379_b_nat,SV716: produc1235635379_b_nat] :
( ( ( ( SV716 != SV798 )
| ~ ~ ( ( ( produc1542243159_b_nat @ SV716 )
!= ( produc1542243159_b_nat @ SV798 ) )
| ( ( produc194497945_b_nat @ SV716 )
!= ( produc194497945_b_nat @ SV798 ) ) ) )
= $false )
| ( ( ( produc1542243159_b_nat @ SV716 )
= ( produc1542243159_b_nat @ SV798 ) )
= $false )
| ( ( ( produc194497945_b_nat @ SV716 )
= ( produc194497945_b_nat @ SV798 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4370]) ).
thf(4399,plain,
! [SV801: allegorical_term_b,SV719: allegorical_term_b,SV772: allegorical_term_b,SV648: allegorical_term_b] :
( ( ( SV648 != SV772 )
= $false )
| ( ( ( allegorical_A_Int_b @ SV648 @ SV719 )
= ( allegorical_A_Int_b @ SV772 @ SV801 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4371]) ).
thf(4400,plain,
! [SV772: allegorical_term_b,SV648: allegorical_term_b,SV801: allegorical_term_b,SV719: allegorical_term_b] :
( ( ( SV719 != SV801 )
= $false )
| ( ( ( allegorical_A_Int_b @ SV648 @ SV719 )
= ( allegorical_A_Int_b @ SV772 @ SV801 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4371]) ).
thf(4401,plain,
! [SV801: allegorical_term_b,SV772: allegorical_term_b,SV719: allegorical_term_b,SV648: allegorical_term_b] :
( ( ( ( ( allegorical_A_Int_b @ SV648 @ SV719 )
!= ( allegorical_A_Int_b @ SV772 @ SV801 ) )
| ~ ~ ( ( SV648 != SV772 )
| ( SV719 != SV801 ) ) )
= $false )
| ( ( SV648 = SV772 )
= $false )
| ( ( SV719 = SV801 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4372]) ).
thf(4402,plain,
! [SV802: allegorical_term_b,SV720: allegorical_term_b,SV773: allegorical_term_b,SV649: allegorical_term_b] :
( ( ( SV649 != SV773 )
= $false )
| ( ( ( produc1990145943term_b @ SV649 @ SV720 )
= ( produc1990145943term_b @ SV773 @ SV802 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4373]) ).
thf(4403,plain,
! [SV773: allegorical_term_b,SV649: allegorical_term_b,SV802: allegorical_term_b,SV720: allegorical_term_b] :
( ( ( SV720 != SV802 )
= $false )
| ( ( ( produc1990145943term_b @ SV649 @ SV720 )
= ( produc1990145943term_b @ SV773 @ SV802 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4373]) ).
thf(4404,plain,
! [SV802: allegorical_term_b,SV773: allegorical_term_b,SV720: allegorical_term_b,SV649: allegorical_term_b] :
( ( ( ( ( produc1990145943term_b @ SV649 @ SV720 )
!= ( produc1990145943term_b @ SV773 @ SV802 ) )
| ~ ~ ( ( SV649 != SV773 )
| ( SV720 != SV802 ) ) )
= $false )
| ( ( SV649 = SV773 )
= $false )
| ( ( SV720 = SV802 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4374]) ).
thf(4405,plain,
! [SV805: produc1478835367term_b,SV730: produc1478835367term_b] :
( ( ( ( produc854192515term_b @ SV730 )
!= ( produc854192515term_b @ SV805 ) )
= $false )
| ( ( SV730 = SV805 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4375]) ).
thf(4406,plain,
! [SV805: produc1478835367term_b,SV730: produc1478835367term_b] :
( ( ( ( produc1223098053term_b @ SV730 )
!= ( produc1223098053term_b @ SV805 ) )
= $false )
| ( ( SV730 = SV805 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4375]) ).
thf(4407,plain,
! [SV805: produc1478835367term_b,SV730: produc1478835367term_b] :
( ( ( ( SV730 != SV805 )
| ~ ~ ( ( ( produc854192515term_b @ SV730 )
!= ( produc854192515term_b @ SV805 ) )
| ( ( produc1223098053term_b @ SV730 )
!= ( produc1223098053term_b @ SV805 ) ) ) )
= $false )
| ( ( ( produc854192515term_b @ SV730 )
= ( produc854192515term_b @ SV805 ) )
= $false )
| ( ( ( produc1223098053term_b @ SV730 )
= ( produc1223098053term_b @ SV805 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4376]) ).
thf(4408,plain,
! [SV806: labeled_graph_b_nat,SV731: labeled_graph_b_nat,SV779: labeled_graph_b_nat,SV662: labeled_graph_b_nat] :
( ( ( SV662 != SV779 )
= $false )
| ( ( ( produc951298923_b_nat @ SV662 @ SV731 )
= ( produc951298923_b_nat @ SV779 @ SV806 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4377]) ).
thf(4409,plain,
! [SV779: labeled_graph_b_nat,SV662: labeled_graph_b_nat,SV806: labeled_graph_b_nat,SV731: labeled_graph_b_nat] :
( ( ( SV731 != SV806 )
= $false )
| ( ( ( produc951298923_b_nat @ SV662 @ SV731 )
= ( produc951298923_b_nat @ SV779 @ SV806 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4377]) ).
thf(4410,plain,
! [SV806: labeled_graph_b_nat,SV779: labeled_graph_b_nat,SV731: labeled_graph_b_nat,SV662: labeled_graph_b_nat] :
( ( ( ( ( produc951298923_b_nat @ SV662 @ SV731 )
!= ( produc951298923_b_nat @ SV779 @ SV806 ) )
| ~ ~ ( ( SV662 != SV779 )
| ( SV731 != SV806 ) ) )
= $false )
| ( ( SV662 = SV779 )
= $false )
| ( ( SV731 = SV806 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4378]) ).
thf(4411,plain,
! [SV814: labeled_graph_b_nat,SV665: labeled_graph_b_nat,SV733: produc1235635379_b_nat] :
( ( ( ! [SY1048: labeled_graph_b_nat] :
( SV733
!= ( produc951298923_b_nat @ SY1048 @ SV665 ) ) )
= $false )
| ( ( SV733
= ( produc951298923_b_nat @ SV814 @ SV665 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4381]) ).
thf(4412,plain,
! [SV815: labeled_graph_b_nat,SV669: labeled_graph_b_nat,SV737: produc1235635379_b_nat] :
( ( ( ! [SY1050: labeled_graph_b_nat] :
( SV737
!= ( produc951298923_b_nat @ SV669 @ SY1050 ) ) )
= $false )
| ( ( SV737
= ( produc951298923_b_nat @ SV669 @ SV815 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4384]) ).
thf(4413,plain,
! [SV739: labeled_graph_b_nat,SV671: labeled_graph_b_nat] :
( ( ( ( SV671
!= ( restrict_b_nat @ SV671 ) )
| ( SV739
!= ( restrict_b_nat @ SV739 ) ) )
= $false )
| ( ( graph_529870330at_nat @ SV671 @ SV739 @ ( id_on_nat @ ( labele460410879_b_nat @ SV671 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4385]) ).
thf(4414,plain,
! [SV671: labeled_graph_b_nat,SV739: labeled_graph_b_nat] :
( ( ( SV739
= ( restrict_b_nat @ SV739 ) )
= $false )
| ( ( SV671
= ( restrict_b_nat @ SV671 ) )
= $false )
| ( ( ( graph_union_b_nat @ SV671 @ SV739 )
!= SV739 )
= $true )
| ( ( ~ ( ~ ( graph_529870330at_nat @ SV671 @ SV739 @ ( id_on_nat @ ( labele460410879_b_nat @ SV671 ) ) )
| ~ ~ ( ~ ~ ( ( SV671
!= ( restrict_b_nat @ SV671 ) )
| ( SV739
!= ( restrict_b_nat @ SV739 ) ) )
| ( ( graph_union_b_nat @ SV671 @ SV739 )
!= SV739 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4387]) ).
thf(4415,plain,
! [SV807: labeled_graph_b_nat,SV744: labeled_graph_b_nat,SV783: labeled_graph_b_nat,SV678: labeled_graph_b_nat] :
( ( ( SV678 != SV783 )
= $false )
| ( ( ( produc951298923_b_nat @ SV678 @ SV744 )
= ( produc951298923_b_nat @ SV783 @ SV807 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4388]) ).
thf(4416,plain,
! [SV783: labeled_graph_b_nat,SV678: labeled_graph_b_nat,SV807: labeled_graph_b_nat,SV744: labeled_graph_b_nat] :
( ( ( SV744 != SV807 )
= $false )
| ( ( ( produc951298923_b_nat @ SV678 @ SV744 )
= ( produc951298923_b_nat @ SV783 @ SV807 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4388]) ).
thf(4417,plain,
! [SV807: labeled_graph_b_nat,SV783: labeled_graph_b_nat,SV744: labeled_graph_b_nat,SV678: labeled_graph_b_nat] :
( ( ( ( ( produc951298923_b_nat @ SV678 @ SV744 )
!= ( produc951298923_b_nat @ SV783 @ SV807 ) )
| ~ ~ ( ( SV678 != SV783 )
| ( SV744 != SV807 ) ) )
= $false )
| ( ( SV678 = SV783 )
= $false )
| ( ( SV744 = SV807 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4389]) ).
thf(4418,plain,
! [SV811: allegorical_term_b,SV761: allegorical_term_b,SV792: allegorical_term_b,SV698: allegorical_term_b] :
( ( ( SV698 != SV792 )
= $false )
| ( ( ( produc1990145943term_b @ SV698 @ SV761 )
= ( produc1990145943term_b @ SV792 @ SV811 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4390]) ).
thf(4419,plain,
! [SV792: allegorical_term_b,SV698: allegorical_term_b,SV811: allegorical_term_b,SV761: allegorical_term_b] :
( ( ( SV761 != SV811 )
= $false )
| ( ( ( produc1990145943term_b @ SV698 @ SV761 )
= ( produc1990145943term_b @ SV792 @ SV811 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4390]) ).
thf(4420,plain,
! [SV811: allegorical_term_b,SV792: allegorical_term_b,SV761: allegorical_term_b,SV698: allegorical_term_b] :
( ( ( ( ( produc1990145943term_b @ SV698 @ SV761 )
!= ( produc1990145943term_b @ SV792 @ SV811 ) )
| ~ ~ ( ( SV698 != SV792 )
| ( SV761 != SV811 ) ) )
= $false )
| ( ( SV698 = SV792 )
= $false )
| ( ( SV761 = SV811 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4391]) ).
thf(4421,plain,
! [SV816: allegorical_term_b,SV702: allegorical_term_b,SV765: produc1478835367term_b] :
( ( ( ! [SY1079: allegorical_term_b] :
( SV765
!= ( produc1990145943term_b @ SV702 @ SY1079 ) ) )
= $false )
| ( ( SV765
= ( produc1990145943term_b @ SV702 @ SV816 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4394]) ).
thf(4422,plain,
! [SV638: allegorical_term_b,SV813: allegorical_term_b,SV710: produc1478835367term_b] :
( ( ( SV710
!= ( produc1990145943term_b @ ( sK109_SY1017 @ SV813 @ SV638 @ SV710 ) @ SV638 ) )
= $false )
| ( ( SV710
= ( produc1990145943term_b @ SV813 @ SV638 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[4395]) ).
thf(4423,plain,
! [SV798: produc1235635379_b_nat,SV716: produc1235635379_b_nat] :
( ( ( ( produc1542243159_b_nat @ SV716 )
= ( produc1542243159_b_nat @ SV798 ) )
= $true )
| ( ( SV716 = SV798 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4396]) ).
thf(4424,plain,
! [SV798: produc1235635379_b_nat,SV716: produc1235635379_b_nat] :
( ( ( ( produc194497945_b_nat @ SV716 )
= ( produc194497945_b_nat @ SV798 ) )
= $true )
| ( ( SV716 = SV798 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4397]) ).
thf(4425,plain,
! [SV798: produc1235635379_b_nat,SV716: produc1235635379_b_nat] :
( ( ( SV716 != SV798 )
= $false )
| ( ( ( produc1542243159_b_nat @ SV716 )
= ( produc1542243159_b_nat @ SV798 ) )
= $false )
| ( ( ( produc194497945_b_nat @ SV716 )
= ( produc194497945_b_nat @ SV798 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4398]) ).
thf(4426,plain,
! [SV798: produc1235635379_b_nat,SV716: produc1235635379_b_nat] :
( ( ( ~ ~ ( ( ( produc1542243159_b_nat @ SV716 )
!= ( produc1542243159_b_nat @ SV798 ) )
| ( ( produc194497945_b_nat @ SV716 )
!= ( produc194497945_b_nat @ SV798 ) ) ) )
= $false )
| ( ( ( produc1542243159_b_nat @ SV716 )
= ( produc1542243159_b_nat @ SV798 ) )
= $false )
| ( ( ( produc194497945_b_nat @ SV716 )
= ( produc194497945_b_nat @ SV798 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4398]) ).
thf(4427,plain,
! [SV801: allegorical_term_b,SV719: allegorical_term_b,SV772: allegorical_term_b,SV648: allegorical_term_b] :
( ( ( SV648 = SV772 )
= $true )
| ( ( ( allegorical_A_Int_b @ SV648 @ SV719 )
= ( allegorical_A_Int_b @ SV772 @ SV801 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4399]) ).
thf(4428,plain,
! [SV772: allegorical_term_b,SV648: allegorical_term_b,SV801: allegorical_term_b,SV719: allegorical_term_b] :
( ( ( SV719 = SV801 )
= $true )
| ( ( ( allegorical_A_Int_b @ SV648 @ SV719 )
= ( allegorical_A_Int_b @ SV772 @ SV801 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4400]) ).
thf(4429,plain,
! [SV801: allegorical_term_b,SV772: allegorical_term_b,SV719: allegorical_term_b,SV648: allegorical_term_b] :
( ( ( ( allegorical_A_Int_b @ SV648 @ SV719 )
!= ( allegorical_A_Int_b @ SV772 @ SV801 ) )
= $false )
| ( ( SV648 = SV772 )
= $false )
| ( ( SV719 = SV801 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4401]) ).
thf(4430,plain,
! [SV801: allegorical_term_b,SV719: allegorical_term_b,SV772: allegorical_term_b,SV648: allegorical_term_b] :
( ( ( ~ ~ ( ( SV648 != SV772 )
| ( SV719 != SV801 ) ) )
= $false )
| ( ( SV648 = SV772 )
= $false )
| ( ( SV719 = SV801 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4401]) ).
thf(4431,plain,
! [SV802: allegorical_term_b,SV720: allegorical_term_b,SV773: allegorical_term_b,SV649: allegorical_term_b] :
( ( ( SV649 = SV773 )
= $true )
| ( ( ( produc1990145943term_b @ SV649 @ SV720 )
= ( produc1990145943term_b @ SV773 @ SV802 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4402]) ).
thf(4432,plain,
! [SV773: allegorical_term_b,SV649: allegorical_term_b,SV802: allegorical_term_b,SV720: allegorical_term_b] :
( ( ( SV720 = SV802 )
= $true )
| ( ( ( produc1990145943term_b @ SV649 @ SV720 )
= ( produc1990145943term_b @ SV773 @ SV802 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4403]) ).
thf(4433,plain,
! [SV802: allegorical_term_b,SV773: allegorical_term_b,SV720: allegorical_term_b,SV649: allegorical_term_b] :
( ( ( ( produc1990145943term_b @ SV649 @ SV720 )
!= ( produc1990145943term_b @ SV773 @ SV802 ) )
= $false )
| ( ( SV649 = SV773 )
= $false )
| ( ( SV720 = SV802 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4404]) ).
thf(4434,plain,
! [SV802: allegorical_term_b,SV720: allegorical_term_b,SV773: allegorical_term_b,SV649: allegorical_term_b] :
( ( ( ~ ~ ( ( SV649 != SV773 )
| ( SV720 != SV802 ) ) )
= $false )
| ( ( SV649 = SV773 )
= $false )
| ( ( SV720 = SV802 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4404]) ).
thf(4435,plain,
! [SV805: produc1478835367term_b,SV730: produc1478835367term_b] :
( ( ( ( produc854192515term_b @ SV730 )
= ( produc854192515term_b @ SV805 ) )
= $true )
| ( ( SV730 = SV805 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4405]) ).
thf(4436,plain,
! [SV805: produc1478835367term_b,SV730: produc1478835367term_b] :
( ( ( ( produc1223098053term_b @ SV730 )
= ( produc1223098053term_b @ SV805 ) )
= $true )
| ( ( SV730 = SV805 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4406]) ).
thf(4437,plain,
! [SV805: produc1478835367term_b,SV730: produc1478835367term_b] :
( ( ( SV730 != SV805 )
= $false )
| ( ( ( produc854192515term_b @ SV730 )
= ( produc854192515term_b @ SV805 ) )
= $false )
| ( ( ( produc1223098053term_b @ SV730 )
= ( produc1223098053term_b @ SV805 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4407]) ).
thf(4438,plain,
! [SV805: produc1478835367term_b,SV730: produc1478835367term_b] :
( ( ( ~ ~ ( ( ( produc854192515term_b @ SV730 )
!= ( produc854192515term_b @ SV805 ) )
| ( ( produc1223098053term_b @ SV730 )
!= ( produc1223098053term_b @ SV805 ) ) ) )
= $false )
| ( ( ( produc854192515term_b @ SV730 )
= ( produc854192515term_b @ SV805 ) )
= $false )
| ( ( ( produc1223098053term_b @ SV730 )
= ( produc1223098053term_b @ SV805 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4407]) ).
thf(4439,plain,
! [SV806: labeled_graph_b_nat,SV731: labeled_graph_b_nat,SV779: labeled_graph_b_nat,SV662: labeled_graph_b_nat] :
( ( ( SV662 = SV779 )
= $true )
| ( ( ( produc951298923_b_nat @ SV662 @ SV731 )
= ( produc951298923_b_nat @ SV779 @ SV806 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4408]) ).
thf(4440,plain,
! [SV779: labeled_graph_b_nat,SV662: labeled_graph_b_nat,SV806: labeled_graph_b_nat,SV731: labeled_graph_b_nat] :
( ( ( SV731 = SV806 )
= $true )
| ( ( ( produc951298923_b_nat @ SV662 @ SV731 )
= ( produc951298923_b_nat @ SV779 @ SV806 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4409]) ).
thf(4441,plain,
! [SV806: labeled_graph_b_nat,SV779: labeled_graph_b_nat,SV731: labeled_graph_b_nat,SV662: labeled_graph_b_nat] :
( ( ( ( produc951298923_b_nat @ SV662 @ SV731 )
!= ( produc951298923_b_nat @ SV779 @ SV806 ) )
= $false )
| ( ( SV662 = SV779 )
= $false )
| ( ( SV731 = SV806 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4410]) ).
thf(4442,plain,
! [SV806: labeled_graph_b_nat,SV731: labeled_graph_b_nat,SV779: labeled_graph_b_nat,SV662: labeled_graph_b_nat] :
( ( ( ~ ~ ( ( SV662 != SV779 )
| ( SV731 != SV806 ) ) )
= $false )
| ( ( SV662 = SV779 )
= $false )
| ( ( SV731 = SV806 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4410]) ).
thf(4443,plain,
! [SV665: labeled_graph_b_nat,SV814: labeled_graph_b_nat,SV733: produc1235635379_b_nat] :
( ( ( SV733
!= ( produc951298923_b_nat @ ( sK110_SY1048 @ SV814 @ SV665 @ SV733 ) @ SV665 ) )
= $false )
| ( ( SV733
= ( produc951298923_b_nat @ SV814 @ SV665 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[4411]) ).
thf(4444,plain,
! [SV815: labeled_graph_b_nat,SV669: labeled_graph_b_nat,SV737: produc1235635379_b_nat] :
( ( ( SV737
!= ( produc951298923_b_nat @ SV669 @ ( sK111_SY1050 @ SV815 @ SV669 @ SV737 ) ) )
= $false )
| ( ( SV737
= ( produc951298923_b_nat @ SV669 @ SV815 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[4412]) ).
thf(4445,plain,
! [SV739: labeled_graph_b_nat,SV671: labeled_graph_b_nat] :
( ( ( SV671
!= ( restrict_b_nat @ SV671 ) )
= $false )
| ( ( graph_529870330at_nat @ SV671 @ SV739 @ ( id_on_nat @ ( labele460410879_b_nat @ SV671 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4413]) ).
thf(4446,plain,
! [SV671: labeled_graph_b_nat,SV739: labeled_graph_b_nat] :
( ( ( SV739
!= ( restrict_b_nat @ SV739 ) )
= $false )
| ( ( graph_529870330at_nat @ SV671 @ SV739 @ ( id_on_nat @ ( labele460410879_b_nat @ SV671 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4413]) ).
thf(4447,plain,
! [SV739: labeled_graph_b_nat,SV671: labeled_graph_b_nat] :
( ( ( ( graph_union_b_nat @ SV671 @ SV739 )
= SV739 )
= $false )
| ( ( SV671
= ( restrict_b_nat @ SV671 ) )
= $false )
| ( ( SV739
= ( restrict_b_nat @ SV739 ) )
= $false )
| ( ( ~ ( ~ ( graph_529870330at_nat @ SV671 @ SV739 @ ( id_on_nat @ ( labele460410879_b_nat @ SV671 ) ) )
| ~ ~ ( ~ ~ ( ( SV671
!= ( restrict_b_nat @ SV671 ) )
| ( SV739
!= ( restrict_b_nat @ SV739 ) ) )
| ( ( graph_union_b_nat @ SV671 @ SV739 )
!= SV739 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4414]) ).
thf(4448,plain,
! [SV807: labeled_graph_b_nat,SV744: labeled_graph_b_nat,SV783: labeled_graph_b_nat,SV678: labeled_graph_b_nat] :
( ( ( SV678 = SV783 )
= $true )
| ( ( ( produc951298923_b_nat @ SV678 @ SV744 )
= ( produc951298923_b_nat @ SV783 @ SV807 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4415]) ).
thf(4449,plain,
! [SV783: labeled_graph_b_nat,SV678: labeled_graph_b_nat,SV807: labeled_graph_b_nat,SV744: labeled_graph_b_nat] :
( ( ( SV744 = SV807 )
= $true )
| ( ( ( produc951298923_b_nat @ SV678 @ SV744 )
= ( produc951298923_b_nat @ SV783 @ SV807 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4416]) ).
thf(4450,plain,
! [SV807: labeled_graph_b_nat,SV783: labeled_graph_b_nat,SV744: labeled_graph_b_nat,SV678: labeled_graph_b_nat] :
( ( ( ( produc951298923_b_nat @ SV678 @ SV744 )
!= ( produc951298923_b_nat @ SV783 @ SV807 ) )
= $false )
| ( ( SV678 = SV783 )
= $false )
| ( ( SV744 = SV807 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4417]) ).
thf(4451,plain,
! [SV807: labeled_graph_b_nat,SV744: labeled_graph_b_nat,SV783: labeled_graph_b_nat,SV678: labeled_graph_b_nat] :
( ( ( ~ ~ ( ( SV678 != SV783 )
| ( SV744 != SV807 ) ) )
= $false )
| ( ( SV678 = SV783 )
= $false )
| ( ( SV744 = SV807 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4417]) ).
thf(4452,plain,
! [SV811: allegorical_term_b,SV761: allegorical_term_b,SV792: allegorical_term_b,SV698: allegorical_term_b] :
( ( ( SV698 = SV792 )
= $true )
| ( ( ( produc1990145943term_b @ SV698 @ SV761 )
= ( produc1990145943term_b @ SV792 @ SV811 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4418]) ).
thf(4453,plain,
! [SV792: allegorical_term_b,SV698: allegorical_term_b,SV811: allegorical_term_b,SV761: allegorical_term_b] :
( ( ( SV761 = SV811 )
= $true )
| ( ( ( produc1990145943term_b @ SV698 @ SV761 )
= ( produc1990145943term_b @ SV792 @ SV811 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4419]) ).
thf(4454,plain,
! [SV811: allegorical_term_b,SV792: allegorical_term_b,SV761: allegorical_term_b,SV698: allegorical_term_b] :
( ( ( ( produc1990145943term_b @ SV698 @ SV761 )
!= ( produc1990145943term_b @ SV792 @ SV811 ) )
= $false )
| ( ( SV698 = SV792 )
= $false )
| ( ( SV761 = SV811 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4420]) ).
thf(4455,plain,
! [SV811: allegorical_term_b,SV761: allegorical_term_b,SV792: allegorical_term_b,SV698: allegorical_term_b] :
( ( ( ~ ~ ( ( SV698 != SV792 )
| ( SV761 != SV811 ) ) )
= $false )
| ( ( SV698 = SV792 )
= $false )
| ( ( SV761 = SV811 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4420]) ).
thf(4456,plain,
! [SV816: allegorical_term_b,SV702: allegorical_term_b,SV765: produc1478835367term_b] :
( ( ( SV765
!= ( produc1990145943term_b @ SV702 @ ( sK112_SY1079 @ SV816 @ SV702 @ SV765 ) ) )
= $false )
| ( ( SV765
= ( produc1990145943term_b @ SV702 @ SV816 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[4421]) ).
thf(4457,plain,
! [SV638: allegorical_term_b,SV813: allegorical_term_b,SV710: produc1478835367term_b] :
( ( ( SV710
= ( produc1990145943term_b @ ( sK109_SY1017 @ SV813 @ SV638 @ SV710 ) @ SV638 ) )
= $true )
| ( ( SV710
= ( produc1990145943term_b @ SV813 @ SV638 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4422]) ).
thf(4458,plain,
! [SV798: produc1235635379_b_nat,SV716: produc1235635379_b_nat] :
( ( ( SV716 = SV798 )
= $true )
| ( ( ( produc1542243159_b_nat @ SV716 )
= ( produc1542243159_b_nat @ SV798 ) )
= $false )
| ( ( ( produc194497945_b_nat @ SV716 )
= ( produc194497945_b_nat @ SV798 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4425]) ).
thf(4459,plain,
! [SV798: produc1235635379_b_nat,SV716: produc1235635379_b_nat] :
( ( ( ~ ( ( ( produc1542243159_b_nat @ SV716 )
!= ( produc1542243159_b_nat @ SV798 ) )
| ( ( produc194497945_b_nat @ SV716 )
!= ( produc194497945_b_nat @ SV798 ) ) ) )
= $true )
| ( ( ( produc1542243159_b_nat @ SV716 )
= ( produc1542243159_b_nat @ SV798 ) )
= $false )
| ( ( ( produc194497945_b_nat @ SV716 )
= ( produc194497945_b_nat @ SV798 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4426]) ).
thf(4460,plain,
! [SV801: allegorical_term_b,SV772: allegorical_term_b,SV719: allegorical_term_b,SV648: allegorical_term_b] :
( ( ( ( allegorical_A_Int_b @ SV648 @ SV719 )
= ( allegorical_A_Int_b @ SV772 @ SV801 ) )
= $true )
| ( ( SV648 = SV772 )
= $false )
| ( ( SV719 = SV801 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4429]) ).
thf(4461,plain,
! [SV801: allegorical_term_b,SV719: allegorical_term_b,SV772: allegorical_term_b,SV648: allegorical_term_b] :
( ( ( ~ ( ( SV648 != SV772 )
| ( SV719 != SV801 ) ) )
= $true )
| ( ( SV648 = SV772 )
= $false )
| ( ( SV719 = SV801 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4430]) ).
thf(4462,plain,
! [SV802: allegorical_term_b,SV773: allegorical_term_b,SV720: allegorical_term_b,SV649: allegorical_term_b] :
( ( ( ( produc1990145943term_b @ SV649 @ SV720 )
= ( produc1990145943term_b @ SV773 @ SV802 ) )
= $true )
| ( ( SV649 = SV773 )
= $false )
| ( ( SV720 = SV802 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4433]) ).
thf(4463,plain,
! [SV802: allegorical_term_b,SV720: allegorical_term_b,SV773: allegorical_term_b,SV649: allegorical_term_b] :
( ( ( ~ ( ( SV649 != SV773 )
| ( SV720 != SV802 ) ) )
= $true )
| ( ( SV649 = SV773 )
= $false )
| ( ( SV720 = SV802 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4434]) ).
thf(4464,plain,
! [SV805: produc1478835367term_b,SV730: produc1478835367term_b] :
( ( ( SV730 = SV805 )
= $true )
| ( ( ( produc854192515term_b @ SV730 )
= ( produc854192515term_b @ SV805 ) )
= $false )
| ( ( ( produc1223098053term_b @ SV730 )
= ( produc1223098053term_b @ SV805 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4437]) ).
thf(4465,plain,
! [SV805: produc1478835367term_b,SV730: produc1478835367term_b] :
( ( ( ~ ( ( ( produc854192515term_b @ SV730 )
!= ( produc854192515term_b @ SV805 ) )
| ( ( produc1223098053term_b @ SV730 )
!= ( produc1223098053term_b @ SV805 ) ) ) )
= $true )
| ( ( ( produc854192515term_b @ SV730 )
= ( produc854192515term_b @ SV805 ) )
= $false )
| ( ( ( produc1223098053term_b @ SV730 )
= ( produc1223098053term_b @ SV805 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4438]) ).
thf(4466,plain,
! [SV806: labeled_graph_b_nat,SV779: labeled_graph_b_nat,SV731: labeled_graph_b_nat,SV662: labeled_graph_b_nat] :
( ( ( ( produc951298923_b_nat @ SV662 @ SV731 )
= ( produc951298923_b_nat @ SV779 @ SV806 ) )
= $true )
| ( ( SV662 = SV779 )
= $false )
| ( ( SV731 = SV806 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4441]) ).
thf(4467,plain,
! [SV806: labeled_graph_b_nat,SV731: labeled_graph_b_nat,SV779: labeled_graph_b_nat,SV662: labeled_graph_b_nat] :
( ( ( ~ ( ( SV662 != SV779 )
| ( SV731 != SV806 ) ) )
= $true )
| ( ( SV662 = SV779 )
= $false )
| ( ( SV731 = SV806 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4442]) ).
thf(4468,plain,
! [SV665: labeled_graph_b_nat,SV814: labeled_graph_b_nat,SV733: produc1235635379_b_nat] :
( ( ( SV733
= ( produc951298923_b_nat @ ( sK110_SY1048 @ SV814 @ SV665 @ SV733 ) @ SV665 ) )
= $true )
| ( ( SV733
= ( produc951298923_b_nat @ SV814 @ SV665 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4443]) ).
thf(4469,plain,
! [SV815: labeled_graph_b_nat,SV669: labeled_graph_b_nat,SV737: produc1235635379_b_nat] :
( ( ( SV737
= ( produc951298923_b_nat @ SV669 @ ( sK111_SY1050 @ SV815 @ SV669 @ SV737 ) ) )
= $true )
| ( ( SV737
= ( produc951298923_b_nat @ SV669 @ SV815 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4444]) ).
thf(4470,plain,
! [SV739: labeled_graph_b_nat,SV671: labeled_graph_b_nat] :
( ( ( SV671
= ( restrict_b_nat @ SV671 ) )
= $true )
| ( ( graph_529870330at_nat @ SV671 @ SV739 @ ( id_on_nat @ ( labele460410879_b_nat @ SV671 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4445]) ).
thf(4471,plain,
! [SV671: labeled_graph_b_nat,SV739: labeled_graph_b_nat] :
( ( ( SV739
= ( restrict_b_nat @ SV739 ) )
= $true )
| ( ( graph_529870330at_nat @ SV671 @ SV739 @ ( id_on_nat @ ( labele460410879_b_nat @ SV671 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4446]) ).
thf(4472,plain,
! [SV739: labeled_graph_b_nat,SV671: labeled_graph_b_nat] :
( ( ( ~ ( graph_529870330at_nat @ SV671 @ SV739 @ ( id_on_nat @ ( labele460410879_b_nat @ SV671 ) ) )
| ~ ~ ( ~ ~ ( ( SV671
!= ( restrict_b_nat @ SV671 ) )
| ( SV739
!= ( restrict_b_nat @ SV739 ) ) )
| ( ( graph_union_b_nat @ SV671 @ SV739 )
!= SV739 ) ) )
= $false )
| ( ( SV739
= ( restrict_b_nat @ SV739 ) )
= $false )
| ( ( SV671
= ( restrict_b_nat @ SV671 ) )
= $false )
| ( ( ( graph_union_b_nat @ SV671 @ SV739 )
= SV739 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4447]) ).
thf(4473,plain,
! [SV807: labeled_graph_b_nat,SV783: labeled_graph_b_nat,SV744: labeled_graph_b_nat,SV678: labeled_graph_b_nat] :
( ( ( ( produc951298923_b_nat @ SV678 @ SV744 )
= ( produc951298923_b_nat @ SV783 @ SV807 ) )
= $true )
| ( ( SV678 = SV783 )
= $false )
| ( ( SV744 = SV807 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4450]) ).
thf(4474,plain,
! [SV807: labeled_graph_b_nat,SV744: labeled_graph_b_nat,SV783: labeled_graph_b_nat,SV678: labeled_graph_b_nat] :
( ( ( ~ ( ( SV678 != SV783 )
| ( SV744 != SV807 ) ) )
= $true )
| ( ( SV678 = SV783 )
= $false )
| ( ( SV744 = SV807 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4451]) ).
thf(4475,plain,
! [SV811: allegorical_term_b,SV792: allegorical_term_b,SV761: allegorical_term_b,SV698: allegorical_term_b] :
( ( ( ( produc1990145943term_b @ SV698 @ SV761 )
= ( produc1990145943term_b @ SV792 @ SV811 ) )
= $true )
| ( ( SV698 = SV792 )
= $false )
| ( ( SV761 = SV811 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4454]) ).
thf(4476,plain,
! [SV811: allegorical_term_b,SV761: allegorical_term_b,SV792: allegorical_term_b,SV698: allegorical_term_b] :
( ( ( ~ ( ( SV698 != SV792 )
| ( SV761 != SV811 ) ) )
= $true )
| ( ( SV698 = SV792 )
= $false )
| ( ( SV761 = SV811 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4455]) ).
thf(4477,plain,
! [SV816: allegorical_term_b,SV702: allegorical_term_b,SV765: produc1478835367term_b] :
( ( ( SV765
= ( produc1990145943term_b @ SV702 @ ( sK112_SY1079 @ SV816 @ SV702 @ SV765 ) ) )
= $true )
| ( ( SV765
= ( produc1990145943term_b @ SV702 @ SV816 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4456]) ).
thf(4478,plain,
! [SV798: produc1235635379_b_nat,SV716: produc1235635379_b_nat] :
( ( ( ( ( produc1542243159_b_nat @ SV716 )
!= ( produc1542243159_b_nat @ SV798 ) )
| ( ( produc194497945_b_nat @ SV716 )
!= ( produc194497945_b_nat @ SV798 ) ) )
= $false )
| ( ( ( produc1542243159_b_nat @ SV716 )
= ( produc1542243159_b_nat @ SV798 ) )
= $false )
| ( ( ( produc194497945_b_nat @ SV716 )
= ( produc194497945_b_nat @ SV798 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4459]) ).
thf(4479,plain,
! [SV801: allegorical_term_b,SV719: allegorical_term_b,SV772: allegorical_term_b,SV648: allegorical_term_b] :
( ( ( ( SV648 != SV772 )
| ( SV719 != SV801 ) )
= $false )
| ( ( SV648 = SV772 )
= $false )
| ( ( SV719 = SV801 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4461]) ).
thf(4480,plain,
! [SV802: allegorical_term_b,SV720: allegorical_term_b,SV773: allegorical_term_b,SV649: allegorical_term_b] :
( ( ( ( SV649 != SV773 )
| ( SV720 != SV802 ) )
= $false )
| ( ( SV649 = SV773 )
= $false )
| ( ( SV720 = SV802 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4463]) ).
thf(4481,plain,
! [SV805: produc1478835367term_b,SV730: produc1478835367term_b] :
( ( ( ( ( produc854192515term_b @ SV730 )
!= ( produc854192515term_b @ SV805 ) )
| ( ( produc1223098053term_b @ SV730 )
!= ( produc1223098053term_b @ SV805 ) ) )
= $false )
| ( ( ( produc854192515term_b @ SV730 )
= ( produc854192515term_b @ SV805 ) )
= $false )
| ( ( ( produc1223098053term_b @ SV730 )
= ( produc1223098053term_b @ SV805 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4465]) ).
thf(4482,plain,
! [SV806: labeled_graph_b_nat,SV731: labeled_graph_b_nat,SV779: labeled_graph_b_nat,SV662: labeled_graph_b_nat] :
( ( ( ( SV662 != SV779 )
| ( SV731 != SV806 ) )
= $false )
| ( ( SV662 = SV779 )
= $false )
| ( ( SV731 = SV806 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4467]) ).
thf(4483,plain,
! [SV739: labeled_graph_b_nat,SV671: labeled_graph_b_nat] :
( ( ( ~ ( graph_529870330at_nat @ SV671 @ SV739 @ ( id_on_nat @ ( labele460410879_b_nat @ SV671 ) ) ) )
= $false )
| ( ( SV739
= ( restrict_b_nat @ SV739 ) )
= $false )
| ( ( SV671
= ( restrict_b_nat @ SV671 ) )
= $false )
| ( ( ( graph_union_b_nat @ SV671 @ SV739 )
= SV739 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4472]) ).
thf(4484,plain,
! [SV739: labeled_graph_b_nat,SV671: labeled_graph_b_nat] :
( ( ( ~ ~ ( ~ ~ ( ( SV671
!= ( restrict_b_nat @ SV671 ) )
| ( SV739
!= ( restrict_b_nat @ SV739 ) ) )
| ( ( graph_union_b_nat @ SV671 @ SV739 )
!= SV739 ) ) )
= $false )
| ( ( SV739
= ( restrict_b_nat @ SV739 ) )
= $false )
| ( ( SV671
= ( restrict_b_nat @ SV671 ) )
= $false )
| ( ( ( graph_union_b_nat @ SV671 @ SV739 )
= SV739 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4472]) ).
thf(4485,plain,
! [SV807: labeled_graph_b_nat,SV744: labeled_graph_b_nat,SV783: labeled_graph_b_nat,SV678: labeled_graph_b_nat] :
( ( ( ( SV678 != SV783 )
| ( SV744 != SV807 ) )
= $false )
| ( ( SV678 = SV783 )
= $false )
| ( ( SV744 = SV807 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4474]) ).
thf(4486,plain,
! [SV811: allegorical_term_b,SV761: allegorical_term_b,SV792: allegorical_term_b,SV698: allegorical_term_b] :
( ( ( ( SV698 != SV792 )
| ( SV761 != SV811 ) )
= $false )
| ( ( SV698 = SV792 )
= $false )
| ( ( SV761 = SV811 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4476]) ).
thf(4487,plain,
! [SV798: produc1235635379_b_nat,SV716: produc1235635379_b_nat] :
( ( ( ( produc1542243159_b_nat @ SV716 )
!= ( produc1542243159_b_nat @ SV798 ) )
= $false )
| ( ( ( produc1542243159_b_nat @ SV716 )
= ( produc1542243159_b_nat @ SV798 ) )
= $false )
| ( ( ( produc194497945_b_nat @ SV716 )
= ( produc194497945_b_nat @ SV798 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4478]) ).
thf(4488,plain,
! [SV798: produc1235635379_b_nat,SV716: produc1235635379_b_nat] :
( ( ( ( produc194497945_b_nat @ SV716 )
!= ( produc194497945_b_nat @ SV798 ) )
= $false )
| ( ( ( produc1542243159_b_nat @ SV716 )
= ( produc1542243159_b_nat @ SV798 ) )
= $false )
| ( ( ( produc194497945_b_nat @ SV716 )
= ( produc194497945_b_nat @ SV798 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4478]) ).
thf(4489,plain,
! [SV801: allegorical_term_b,SV719: allegorical_term_b,SV772: allegorical_term_b,SV648: allegorical_term_b] :
( ( ( SV648 != SV772 )
= $false )
| ( ( SV648 = SV772 )
= $false )
| ( ( SV719 = SV801 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4479]) ).
thf(4490,plain,
! [SV772: allegorical_term_b,SV648: allegorical_term_b,SV801: allegorical_term_b,SV719: allegorical_term_b] :
( ( ( SV719 != SV801 )
= $false )
| ( ( SV648 = SV772 )
= $false )
| ( ( SV719 = SV801 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4479]) ).
thf(4491,plain,
! [SV802: allegorical_term_b,SV720: allegorical_term_b,SV773: allegorical_term_b,SV649: allegorical_term_b] :
( ( ( SV649 != SV773 )
= $false )
| ( ( SV649 = SV773 )
= $false )
| ( ( SV720 = SV802 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4480]) ).
thf(4492,plain,
! [SV773: allegorical_term_b,SV649: allegorical_term_b,SV802: allegorical_term_b,SV720: allegorical_term_b] :
( ( ( SV720 != SV802 )
= $false )
| ( ( SV649 = SV773 )
= $false )
| ( ( SV720 = SV802 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4480]) ).
thf(4493,plain,
! [SV805: produc1478835367term_b,SV730: produc1478835367term_b] :
( ( ( ( produc854192515term_b @ SV730 )
!= ( produc854192515term_b @ SV805 ) )
= $false )
| ( ( ( produc854192515term_b @ SV730 )
= ( produc854192515term_b @ SV805 ) )
= $false )
| ( ( ( produc1223098053term_b @ SV730 )
= ( produc1223098053term_b @ SV805 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4481]) ).
thf(4494,plain,
! [SV805: produc1478835367term_b,SV730: produc1478835367term_b] :
( ( ( ( produc1223098053term_b @ SV730 )
!= ( produc1223098053term_b @ SV805 ) )
= $false )
| ( ( ( produc854192515term_b @ SV730 )
= ( produc854192515term_b @ SV805 ) )
= $false )
| ( ( ( produc1223098053term_b @ SV730 )
= ( produc1223098053term_b @ SV805 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4481]) ).
thf(4495,plain,
! [SV806: labeled_graph_b_nat,SV731: labeled_graph_b_nat,SV779: labeled_graph_b_nat,SV662: labeled_graph_b_nat] :
( ( ( SV662 != SV779 )
= $false )
| ( ( SV662 = SV779 )
= $false )
| ( ( SV731 = SV806 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4482]) ).
thf(4496,plain,
! [SV779: labeled_graph_b_nat,SV662: labeled_graph_b_nat,SV806: labeled_graph_b_nat,SV731: labeled_graph_b_nat] :
( ( ( SV731 != SV806 )
= $false )
| ( ( SV662 = SV779 )
= $false )
| ( ( SV731 = SV806 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4482]) ).
thf(4497,plain,
! [SV739: labeled_graph_b_nat,SV671: labeled_graph_b_nat] :
( ( ( graph_529870330at_nat @ SV671 @ SV739 @ ( id_on_nat @ ( labele460410879_b_nat @ SV671 ) ) )
= $true )
| ( ( SV739
= ( restrict_b_nat @ SV739 ) )
= $false )
| ( ( SV671
= ( restrict_b_nat @ SV671 ) )
= $false )
| ( ( ( graph_union_b_nat @ SV671 @ SV739 )
= SV739 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4483]) ).
thf(4498,plain,
! [SV739: labeled_graph_b_nat,SV671: labeled_graph_b_nat] :
( ( ( ~ ( ~ ~ ( ( SV671
!= ( restrict_b_nat @ SV671 ) )
| ( SV739
!= ( restrict_b_nat @ SV739 ) ) )
| ( ( graph_union_b_nat @ SV671 @ SV739 )
!= SV739 ) ) )
= $true )
| ( ( SV739
= ( restrict_b_nat @ SV739 ) )
= $false )
| ( ( SV671
= ( restrict_b_nat @ SV671 ) )
= $false )
| ( ( ( graph_union_b_nat @ SV671 @ SV739 )
= SV739 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4484]) ).
thf(4499,plain,
! [SV807: labeled_graph_b_nat,SV744: labeled_graph_b_nat,SV783: labeled_graph_b_nat,SV678: labeled_graph_b_nat] :
( ( ( SV678 != SV783 )
= $false )
| ( ( SV678 = SV783 )
= $false )
| ( ( SV744 = SV807 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4485]) ).
thf(4500,plain,
! [SV783: labeled_graph_b_nat,SV678: labeled_graph_b_nat,SV807: labeled_graph_b_nat,SV744: labeled_graph_b_nat] :
( ( ( SV744 != SV807 )
= $false )
| ( ( SV678 = SV783 )
= $false )
| ( ( SV744 = SV807 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4485]) ).
thf(4501,plain,
! [SV811: allegorical_term_b,SV761: allegorical_term_b,SV792: allegorical_term_b,SV698: allegorical_term_b] :
( ( ( SV698 != SV792 )
= $false )
| ( ( SV698 = SV792 )
= $false )
| ( ( SV761 = SV811 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4486]) ).
thf(4502,plain,
! [SV792: allegorical_term_b,SV698: allegorical_term_b,SV811: allegorical_term_b,SV761: allegorical_term_b] :
( ( ( SV761 != SV811 )
= $false )
| ( ( SV698 = SV792 )
= $false )
| ( ( SV761 = SV811 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4486]) ).
thf(4503,plain,
! [SV798: produc1235635379_b_nat,SV716: produc1235635379_b_nat] :
( ( ( ( produc1542243159_b_nat @ SV716 )
= ( produc1542243159_b_nat @ SV798 ) )
= $true )
| ( ( ( produc1542243159_b_nat @ SV716 )
= ( produc1542243159_b_nat @ SV798 ) )
= $false )
| ( ( ( produc194497945_b_nat @ SV716 )
= ( produc194497945_b_nat @ SV798 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4487]) ).
thf(4504,plain,
! [SV798: produc1235635379_b_nat,SV716: produc1235635379_b_nat] :
( ( ( ( produc194497945_b_nat @ SV716 )
= ( produc194497945_b_nat @ SV798 ) )
= $true )
| ( ( ( produc1542243159_b_nat @ SV716 )
= ( produc1542243159_b_nat @ SV798 ) )
= $false )
| ( ( ( produc194497945_b_nat @ SV716 )
= ( produc194497945_b_nat @ SV798 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4488]) ).
thf(4505,plain,
! [SV801: allegorical_term_b,SV719: allegorical_term_b,SV772: allegorical_term_b,SV648: allegorical_term_b] :
( ( ( SV648 = SV772 )
= $true )
| ( ( SV648 = SV772 )
= $false )
| ( ( SV719 = SV801 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4489]) ).
thf(4506,plain,
! [SV772: allegorical_term_b,SV648: allegorical_term_b,SV801: allegorical_term_b,SV719: allegorical_term_b] :
( ( ( SV719 = SV801 )
= $true )
| ( ( SV648 = SV772 )
= $false )
| ( ( SV719 = SV801 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4490]) ).
thf(4507,plain,
! [SV802: allegorical_term_b,SV720: allegorical_term_b,SV773: allegorical_term_b,SV649: allegorical_term_b] :
( ( ( SV649 = SV773 )
= $true )
| ( ( SV649 = SV773 )
= $false )
| ( ( SV720 = SV802 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4491]) ).
thf(4508,plain,
! [SV773: allegorical_term_b,SV649: allegorical_term_b,SV802: allegorical_term_b,SV720: allegorical_term_b] :
( ( ( SV720 = SV802 )
= $true )
| ( ( SV649 = SV773 )
= $false )
| ( ( SV720 = SV802 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4492]) ).
thf(4509,plain,
! [SV805: produc1478835367term_b,SV730: produc1478835367term_b] :
( ( ( ( produc854192515term_b @ SV730 )
= ( produc854192515term_b @ SV805 ) )
= $true )
| ( ( ( produc854192515term_b @ SV730 )
= ( produc854192515term_b @ SV805 ) )
= $false )
| ( ( ( produc1223098053term_b @ SV730 )
= ( produc1223098053term_b @ SV805 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4493]) ).
thf(4510,plain,
! [SV805: produc1478835367term_b,SV730: produc1478835367term_b] :
( ( ( ( produc1223098053term_b @ SV730 )
= ( produc1223098053term_b @ SV805 ) )
= $true )
| ( ( ( produc854192515term_b @ SV730 )
= ( produc854192515term_b @ SV805 ) )
= $false )
| ( ( ( produc1223098053term_b @ SV730 )
= ( produc1223098053term_b @ SV805 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4494]) ).
thf(4511,plain,
! [SV806: labeled_graph_b_nat,SV731: labeled_graph_b_nat,SV779: labeled_graph_b_nat,SV662: labeled_graph_b_nat] :
( ( ( SV662 = SV779 )
= $true )
| ( ( SV662 = SV779 )
= $false )
| ( ( SV731 = SV806 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4495]) ).
thf(4512,plain,
! [SV779: labeled_graph_b_nat,SV662: labeled_graph_b_nat,SV806: labeled_graph_b_nat,SV731: labeled_graph_b_nat] :
( ( ( SV731 = SV806 )
= $true )
| ( ( SV662 = SV779 )
= $false )
| ( ( SV731 = SV806 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4496]) ).
thf(4513,plain,
! [SV739: labeled_graph_b_nat,SV671: labeled_graph_b_nat] :
( ( ( ~ ~ ( ( SV671
!= ( restrict_b_nat @ SV671 ) )
| ( SV739
!= ( restrict_b_nat @ SV739 ) ) )
| ( ( graph_union_b_nat @ SV671 @ SV739 )
!= SV739 ) )
= $false )
| ( ( SV739
= ( restrict_b_nat @ SV739 ) )
= $false )
| ( ( SV671
= ( restrict_b_nat @ SV671 ) )
= $false )
| ( ( ( graph_union_b_nat @ SV671 @ SV739 )
= SV739 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4498]) ).
thf(4514,plain,
! [SV807: labeled_graph_b_nat,SV744: labeled_graph_b_nat,SV783: labeled_graph_b_nat,SV678: labeled_graph_b_nat] :
( ( ( SV678 = SV783 )
= $true )
| ( ( SV678 = SV783 )
= $false )
| ( ( SV744 = SV807 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4499]) ).
thf(4515,plain,
! [SV783: labeled_graph_b_nat,SV678: labeled_graph_b_nat,SV807: labeled_graph_b_nat,SV744: labeled_graph_b_nat] :
( ( ( SV744 = SV807 )
= $true )
| ( ( SV678 = SV783 )
= $false )
| ( ( SV744 = SV807 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4500]) ).
thf(4516,plain,
! [SV811: allegorical_term_b,SV761: allegorical_term_b,SV792: allegorical_term_b,SV698: allegorical_term_b] :
( ( ( SV698 = SV792 )
= $true )
| ( ( SV698 = SV792 )
= $false )
| ( ( SV761 = SV811 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4501]) ).
thf(4517,plain,
! [SV792: allegorical_term_b,SV698: allegorical_term_b,SV811: allegorical_term_b,SV761: allegorical_term_b] :
( ( ( SV761 = SV811 )
= $true )
| ( ( SV698 = SV792 )
= $false )
| ( ( SV761 = SV811 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4502]) ).
thf(4518,plain,
! [SV739: labeled_graph_b_nat,SV671: labeled_graph_b_nat] :
( ( ( ~ ~ ( ( SV671
!= ( restrict_b_nat @ SV671 ) )
| ( SV739
!= ( restrict_b_nat @ SV739 ) ) ) )
= $false )
| ( ( SV739
= ( restrict_b_nat @ SV739 ) )
= $false )
| ( ( SV671
= ( restrict_b_nat @ SV671 ) )
= $false )
| ( ( ( graph_union_b_nat @ SV671 @ SV739 )
= SV739 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4513]) ).
thf(4519,plain,
! [SV739: labeled_graph_b_nat,SV671: labeled_graph_b_nat] :
( ( ( ( graph_union_b_nat @ SV671 @ SV739 )
!= SV739 )
= $false )
| ( ( SV739
= ( restrict_b_nat @ SV739 ) )
= $false )
| ( ( SV671
= ( restrict_b_nat @ SV671 ) )
= $false )
| ( ( ( graph_union_b_nat @ SV671 @ SV739 )
= SV739 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4513]) ).
thf(4520,plain,
! [SV739: labeled_graph_b_nat,SV671: labeled_graph_b_nat] :
( ( ( ~ ( ( SV671
!= ( restrict_b_nat @ SV671 ) )
| ( SV739
!= ( restrict_b_nat @ SV739 ) ) ) )
= $true )
| ( ( SV739
= ( restrict_b_nat @ SV739 ) )
= $false )
| ( ( SV671
= ( restrict_b_nat @ SV671 ) )
= $false )
| ( ( ( graph_union_b_nat @ SV671 @ SV739 )
= SV739 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4518]) ).
thf(4521,plain,
! [SV739: labeled_graph_b_nat,SV671: labeled_graph_b_nat] :
( ( ( ( graph_union_b_nat @ SV671 @ SV739 )
= SV739 )
= $true )
| ( ( SV739
= ( restrict_b_nat @ SV739 ) )
= $false )
| ( ( SV671
= ( restrict_b_nat @ SV671 ) )
= $false )
| ( ( ( graph_union_b_nat @ SV671 @ SV739 )
= SV739 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4519]) ).
thf(4522,plain,
! [SV739: labeled_graph_b_nat,SV671: labeled_graph_b_nat] :
( ( ( ( SV671
!= ( restrict_b_nat @ SV671 ) )
| ( SV739
!= ( restrict_b_nat @ SV739 ) ) )
= $false )
| ( ( SV739
= ( restrict_b_nat @ SV739 ) )
= $false )
| ( ( SV671
= ( restrict_b_nat @ SV671 ) )
= $false )
| ( ( ( graph_union_b_nat @ SV671 @ SV739 )
= SV739 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4520]) ).
thf(4523,plain,
! [SV739: labeled_graph_b_nat,SV671: labeled_graph_b_nat] :
( ( ( SV671
!= ( restrict_b_nat @ SV671 ) )
= $false )
| ( ( SV739
= ( restrict_b_nat @ SV739 ) )
= $false )
| ( ( SV671
= ( restrict_b_nat @ SV671 ) )
= $false )
| ( ( ( graph_union_b_nat @ SV671 @ SV739 )
= SV739 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4522]) ).
thf(4524,plain,
! [SV671: labeled_graph_b_nat,SV739: labeled_graph_b_nat] :
( ( ( SV739
!= ( restrict_b_nat @ SV739 ) )
= $false )
| ( ( SV739
= ( restrict_b_nat @ SV739 ) )
= $false )
| ( ( SV671
= ( restrict_b_nat @ SV671 ) )
= $false )
| ( ( ( graph_union_b_nat @ SV671 @ SV739 )
= SV739 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[4522]) ).
thf(4525,plain,
! [SV739: labeled_graph_b_nat,SV671: labeled_graph_b_nat] :
( ( ( SV671
= ( restrict_b_nat @ SV671 ) )
= $true )
| ( ( SV739
= ( restrict_b_nat @ SV739 ) )
= $false )
| ( ( SV671
= ( restrict_b_nat @ SV671 ) )
= $false )
| ( ( ( graph_union_b_nat @ SV671 @ SV739 )
= SV739 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4523]) ).
thf(4526,plain,
! [SV671: labeled_graph_b_nat,SV739: labeled_graph_b_nat] :
( ( ( SV739
= ( restrict_b_nat @ SV739 ) )
= $true )
| ( ( SV739
= ( restrict_b_nat @ SV739 ) )
= $false )
| ( ( SV671
= ( restrict_b_nat @ SV671 ) )
= $false )
| ( ( ( graph_union_b_nat @ SV671 @ SV739 )
= SV739 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[4524]) ).
thf(4527,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[3596,4526,4525,4521,4517,4516,4515,4514,4512,4511,4510,4509,4508,4507,4506,4505,4504,4503,4497,4477,4475,4473,4471,4470,4469,4468,4466,4464,4462,4460,4458,4457,4453,4452,4449,4448,4440,4439,4436,4435,4432,4431,4428,4427,4424,4423,4393,4392,4386,4383,4382,4380,4379,4367,4366,4360,4359,4358,4355,4348,4347,4341,4338,4337,4336,4333,4330,4327,4299,4298,4289,4288,4280,4272,4269,4265,4260,4259,4249,4246,4245,4244,4243,4240,4234,4233,4231,4230,4229,4226,4219,4210,4209,4208,4207,4197,4189,4185,4184,4183,4182,4181,4180,4179,4178,4171,4168,4150,4148,4143,4123,4117,4116,4115,4112,4108,4104,4100,4092,4089,4075,4073,4065,4063,4062,4058,4056,4055,4046,4045,4043,4041,4040,4037,4033,4032,4028,4027,4026,4024,4019,4015,4010,4008,4003,3978,3967,3947,3939,3934,3921,3898,3889,3886,3881,3876,3865,3854,3847,3776,3775,3774,3773,3772,3771,3770,3769,3767,3724,3705,3697,3696,3695,3694,3691,3690,3689,3688,3687,3686,3681,3680,3679,3677,3676,3675,3674,3673,3597]) ).
thf(4528,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[4527,1476,2493,3510]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP178^1 : 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
% 0.07/0.17 % Computer : n006.cluster.edu
% 0.07/0.17 % Model : x86_64 x86_64
% 0.07/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.17 % Memory : 8046.5625MB
% 0.07/0.17 % OS : Linux 6.8.0-71-generic
% 0.07/0.17 % CPULimit : 300
% 0.07/0.17 % WCLimit : 300
% 0.07/0.17 % DateTime : Tue Oct 6 11:18:52 UTC 2026
% 0.07/0.17 % CPUTime :
% 0.07/0.17 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 88.30/14.95 ..
% 88.30/14.95
% 88.30/14.95 No.of.Axioms: 93
% 88.30/14.95
% 88.30/14.95 Length.of.Defs: 0
% 88.30/14.95
% 88.30/14.95 Contains.Choice.Funs: false
% 88.30/14.95 .......................................................................................................................
% 88.30/14.95
% 88.30/14.95 ********************************
% 88.30/14.95 * All subproblems solved! *
% 88.30/14.95 ********************************
% 88.30/14.95 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:1,axioms:93,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:4527,loop_count:0,foatp_calls:1,translation:fof_full)
% 88.30/14.95
% 88.30/14.95 %**** Beginning of derivation protocol ****
% 88.30/14.95 % SZS output start CNFRefutation
% See solution above
% 88.30/15.00
% 88.30/15.00 %**** End of derivation protocol ****
% 88.30/15.00 %**** no. of clauses in derivation: 4266 ****
% 88.30/15.00 %**** clause counter: 4527 ****
% 88.30/15.00
% 88.30/15.00 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:1,axioms:93,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:4527,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------