%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : ITP177^1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Oct 7 10:24:37 AM UTC 2026
% Result : Theorem 10.60s 2.15s
% Output : CNFRefutation 9.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 65
% Number of leaves : 33
% Syntax : Number of formulae : 983 ( 190 unt; 0 typ; 0 def)
% Number of atoms : 11548 (5202 equ; 0 cnn)
% Maximal formula atoms : 9 ( 11 avg)
% Number of connectives : 15161 (4316 ~;3745 |; 18 &;6998 @)
% ( 0 <=>; 84 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Number of types : 53 ( 52 usr)
% Number of type conns : 21 ( 21 >; 0 *; 0 +; 0 <<)
% Number of symbols : 168 ( 165 usr; 17 con; 0-5 aty)
% Number of variables : 2354 ( 30 ^;2315 !; 9 ?;2354 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_allego510293162tant_a,type,
allego510293162tant_a: $tType ).
thf(tp_b,type,
b: $tType ).
thf(tp_labele1159362096nt_a_b,type,
labele1159362096nt_a_b: $tType ).
thf(tp_labele1322729112_a_nat,type,
labele1322729112_a_nat: $tType ).
thf(tp_labele1644675410od_b_b,type,
labele1644675410od_b_b: $tType ).
thf(tp_labele1835558936od_b_b,type,
labele1835558936od_b_b: $tType ).
thf(tp_labele935650037_a_nat,type,
labele935650037_a_nat: $tType ).
thf(tp_produc1052326083od_b_b,type,
produc1052326083od_b_b: $tType ).
thf(tp_produc1084374401od_b_b,type,
produc1084374401od_b_b: $tType ).
thf(tp_produc1168037607od_b_b,type,
produc1168037607od_b_b: $tType ).
thf(tp_produc1169496899od_b_b,type,
produc1169496899od_b_b: $tType ).
thf(tp_produc1213276845od_b_b,type,
produc1213276845od_b_b: $tType ).
thf(tp_produc1398946881nt_a_b,type,
produc1398946881nt_a_b: $tType ).
thf(tp_produc1485083751od_b_b,type,
produc1485083751od_b_b: $tType ).
thf(tp_produc1605346267od_b_b,type,
produc1605346267od_b_b: $tType ).
thf(tp_produc1871334759_a_nat,type,
produc1871334759_a_nat: $tType ).
thf(tp_produc1990339951od_b_b,type,
produc1990339951od_b_b: $tType ).
thf(tp_produc2112523263_b_b_b,type,
produc2112523263_b_b_b: $tType ).
thf(tp_produc255402447od_b_b,type,
produc255402447od_b_b: $tType ).
thf(tp_produc276146823_b_b_b,type,
produc276146823_b_b_b: $tType ).
thf(tp_produc398057191_a_nat,type,
produc398057191_a_nat: $tType ).
thf(tp_produc644633773od_b_b,type,
produc644633773od_b_b: $tType ).
thf(tp_produc845793663_nat_b,type,
produc845793663_nat_b: $tType ).
thf(tp_produc90515391tant_a,type,
produc90515391tant_a: $tType ).
thf(tp_produc970027067od_b_b,type,
produc970027067od_b_b: $tType ).
thf(tp_product_prod_b_b,type,
product_prod_b_b: $tType ).
thf(tp_set_Pr1021918435od_b_b,type,
set_Pr1021918435od_b_b: $tType ).
thf(tp_set_Pr1071216121od_b_b,type,
set_Pr1071216121od_b_b: $tType ).
thf(tp_set_Pr1190604087od_b_b,type,
set_Pr1190604087od_b_b: $tType ).
thf(tp_set_Pr1324126435od_b_b,type,
set_Pr1324126435od_b_b: $tType ).
thf(tp_set_Pr154086431tant_a,type,
set_Pr154086431tant_a: $tType ).
thf(tp_set_Pr1646010159_a_nat,type,
set_Pr1646010159_a_nat: $tType ).
thf(tp_set_Pr1649131859tant_a,type,
set_Pr1649131859tant_a: $tType ).
thf(tp_set_Pr1906739389_b_b_b,type,
set_Pr1906739389_b_b_b: $tType ).
thf(tp_set_Pr1954438265od_b_b,type,
set_Pr1954438265od_b_b: $tType ).
thf(tp_set_Pr197580003_a_nat,type,
set_Pr197580003_a_nat: $tType ).
thf(tp_set_Pr1987088711_a_nat,type,
set_Pr1987088711_a_nat: $tType ).
thf(tp_set_Pr2007082183od_b_b,type,
set_Pr2007082183od_b_b: $tType ).
thf(tp_set_Pr2060523537od_b_b,type,
set_Pr2060523537od_b_b: $tType ).
thf(tp_set_Pr2106913242_nat_b,type,
set_Pr2106913242_nat_b: $tType ).
thf(tp_set_Pr2109276827od_b_b,type,
set_Pr2109276827od_b_b: $tType ).
thf(tp_set_Pr2134561957od_b_b,type,
set_Pr2134561957od_b_b: $tType ).
thf(tp_set_Pr357419743_b_b_b,type,
set_Pr357419743_b_b_b: $tType ).
thf(tp_set_Pr621705391od_b_b,type,
set_Pr621705391od_b_b: $tType ).
thf(tp_set_Pr667377223od_b_b,type,
set_Pr667377223od_b_b: $tType ).
thf(tp_set_Pr812188767_nat_b,type,
set_Pr812188767_nat_b: $tType ).
thf(tp_set_Pr924198087_a_nat,type,
set_Pr924198087_a_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_b,type,
set_b: $tType ).
thf(tp_set_la1083530965_a_nat,type,
set_la1083530965_a_nat: $tType ).
thf(tp_standard_Constant_a,type,
standard_Constant_a: $tType ).
thf(tp_agree_221379389_a_b_b,type,
agree_221379389_a_b_b: labele1159362096nt_a_b > set_Product_prod_b_b > set_Product_prod_b_b > $o ).
thf(tp_bNF_Gr1272216980od_b_b,type,
bNF_Gr1272216980od_b_b: set_St761939237tant_a > ( standard_Constant_a > product_prod_b_b ) > set_Pr1324126435od_b_b ).
thf(tp_bNF_Gr230160332tant_a,type,
bNF_Gr230160332tant_a: set_b > ( b > standard_Constant_a ) > set_Pr1649131859tant_a ).
thf(tp_bNF_Gr492676974_b_b_b,type,
bNF_Gr492676974_b_b_b: set_Pr1324126435od_b_b > ( produc1213276845od_b_b > b ) > set_Pr1906739389_b_b_b ).
thf(tp_bNF_Gr521784954_b_b_b,type,
bNF_Gr521784954_b_b_b: set_Product_prod_b_b > ( product_prod_b_b > b ) > set_Pr357419743_b_b_b ).
thf(tp_bNF_Gr996500706_a_nat,type,
bNF_Gr996500706_a_nat: set_la1083530965_a_nat > ( labele935650037_a_nat > labele935650037_a_nat ) > set_Pr1987088711_a_nat ).
thf(tp_bNF_Gr_b_b,type,
bNF_Gr_b_b: set_b > ( b > b ) > set_Product_prod_b_b ).
thf(tp_bot_bo1113554635_nat_b,type,
bot_bo1113554635_nat_b: set_Pr812188767_nat_b ).
thf(tp_bot_bo1160111033tant_a,type,
bot_bo1160111033tant_a: set_St761939237tant_a ).
thf(tp_bot_bo1343651123od_b_b,type,
bot_bo1343651123od_b_b: set_Product_prod_b_b ).
thf(tp_bot_bo1653310327_a_nat,type,
bot_bo1653310327_a_nat: set_Pr197580003_a_nat ).
thf(tp_bot_bo1664927607od_b_b,type,
bot_bo1664927607od_b_b: set_Pr1324126435od_b_b ).
thf(tp_bot_bo1836341171_a_nat,type,
bot_bo1836341171_a_nat: set_Pr1987088711_a_nat ).
thf(tp_bot_bo1973379891_a_nat,type,
bot_bo1973379891_a_nat: set_Pr924198087_a_nat ).
thf(tp_bot_bo2122869057_a_nat,type,
bot_bo2122869057_a_nat: set_la1083530965_a_nat ).
thf(tp_bot_bot_set_b,type,
bot_bot_set_b: set_b ).
thf(tp_collec1481886546od_b_b,type,
collec1481886546od_b_b: ( product_prod_b_b > $o ) > set_Product_prod_b_b ).
thf(tp_collec279084418od_b_b,type,
collec279084418od_b_b: ( produc1213276845od_b_b > $o ) > set_Pr1324126435od_b_b ).
thf(tp_collec357096914_a_nat,type,
collec357096914_a_nat: ( produc1871334759_a_nat > $o ) > set_Pr1987088711_a_nat ).
thf(tp_collect_b,type,
collect_b: ( b > $o ) > set_b ).
thf(tp_conseq956760372_nat_b,type,
conseq956760372_nat_b: set_Pr1987088711_a_nat > labele1159362096nt_a_b > $o ).
thf(tp_edge_p1384198690tant_a,type,
edge_p1384198690tant_a: set_Product_prod_b_b > set_Pr1324126435od_b_b > set_Pr1324126435od_b_b > $o ).
thf(tp_edge_p1817988046tant_a,type,
edge_p1817988046tant_a: set_Pr1906739389_b_b_b > set_Pr1190604087od_b_b > set_Pr1324126435od_b_b > $o ).
thf(tp_edge_p1969196346tant_a,type,
edge_p1969196346tant_a: set_Pr357419743_b_b_b > set_Pr1021918435od_b_b > set_Pr1324126435od_b_b > $o ).
thf(tp_equiv_1125628061od_b_b,type,
equiv_1125628061od_b_b: set_Product_prod_b_b > set_Pr2007082183od_b_b > $o ).
thf(tp_equiv_1821124534_set_b,type,
equiv_1821124534_set_b: set_Product_prod_b_b > ( b > set_b ) > $o ).
thf(tp_equiv_2048442231od_b_b,type,
equiv_2048442231od_b_b: set_Pr1324126435od_b_b > set_Pr2109276827od_b_b > $o ).
thf(tp_equiv_291114781_a_nat,type,
equiv_291114781_a_nat: set_Pr1987088711_a_nat > set_Pr924198087_a_nat > $o ).
thf(tp_equiv_equiv_b,type,
equiv_equiv_b: set_b > set_Product_prod_b_b > $o ).
thf(tp_extens1554515172_nat_b,type,
extens1554515172_nat_b: produc1871334759_a_nat > labele1159362096nt_a_b > set_Pr2106913242_nat_b > $o ).
thf(tp_extens1779443913_a_b_b,type,
extens1779443913_a_b_b: produc1398946881nt_a_b > labele1159362096nt_a_b > set_Product_prod_b_b > $o ).
thf(tp_f,type,
f: b > b ).
thf(tp_g,type,
g: labele1159362096nt_a_b ).
thf(tp_getRel118493133od_b_b,type,
getRel118493133od_b_b: standard_Constant_a > labele1835558936od_b_b > set_Pr2007082183od_b_b ).
thf(tp_getRel59882567od_b_b,type,
getRel59882567od_b_b: standard_Constant_a > labele1644675410od_b_b > set_Pr2109276827od_b_b ).
thf(tp_getRel904497637nt_a_b,type,
getRel904497637nt_a_b: standard_Constant_a > labele1159362096nt_a_b > set_Product_prod_b_b ).
thf(tp_graph_1309249505nt_a_b,type,
graph_1309249505nt_a_b: labele1159362096nt_a_b > labele1159362096nt_a_b > labele1159362096nt_a_b ).
thf(tp_graph_222606102_a_b_b,type,
graph_222606102_a_b_b: labele1159362096nt_a_b > labele1159362096nt_a_b > set_Product_prod_b_b > $o ).
thf(tp_graph_714568023_nat_b,type,
graph_714568023_nat_b: labele935650037_a_nat > labele1159362096nt_a_b > set_Pr2106913242_nat_b > $o ).
thf(tp_graph_726202286_nat_b,type,
graph_726202286_nat_b: labele1322729112_a_nat > labele1159362096nt_a_b > set_Pr812188767_nat_b > $o ).
thf(tp_hilbert_Eps_b,type,
hilbert_Eps_b: ( b > $o ) > 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_2019020932od_b_b,type,
id_on_2019020932od_b_b: set_Product_prod_b_b > set_Pr2007082183od_b_b ).
thf(tp_id_on_250271696od_b_b,type,
id_on_250271696od_b_b: set_Pr1324126435od_b_b > set_Pr2109276827od_b_b ).
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_b,type,
id_on_b: set_b > set_Product_prod_b_b ).
thf(tp_if_b,type,
if_b: $o > b > b > b ).
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_1177096571od_b_b,type,
image_1177096571od_b_b: set_Pr621705391od_b_b > set_b > set_Product_prod_b_b ).
thf(tp_image_1214223635od_b_b,type,
image_1214223635od_b_b: set_Pr667377223od_b_b > set_Pr1987088711_a_nat > set_Product_prod_b_b ).
thf(tp_image_1397930469od_b_b,type,
image_1397930469od_b_b: set_Pr2134561957od_b_b > set_Pr1324126435od_b_b > set_Product_prod_b_b ).
thf(tp_image_1683732397od_b_b,type,
image_1683732397od_b_b: ( b > product_prod_b_b ) > set_b > set_Product_prod_b_b ).
thf(tp_image_1749766139_a_nat,type,
image_1749766139_a_nat: set_Pr1646010159_a_nat > set_b > set_Pr1987088711_a_nat ).
thf(tp_image_1764625405_b_b_b,type,
image_1764625405_b_b_b: set_Pr1906739389_b_b_b > set_Pr1324126435od_b_b > set_b ).
thf(tp_image_1916422435od_b_b,type,
image_1916422435od_b_b: set_Pr1324126435od_b_b > set_St761939237tant_a > set_Product_prod_b_b ).
thf(tp_image_1928024979od_b_b,type,
image_1928024979od_b_b: set_Pr2007082183od_b_b > set_Product_prod_b_b > set_Product_prod_b_b ).
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_480774529od_b_b,type,
image_480774529od_b_b: set_Pr1954438265od_b_b > set_Pr1987088711_a_nat > set_Pr1324126435od_b_b ).
thf(tp_image_532916993od_b_b,type,
image_532916993od_b_b: set_Pr1071216121od_b_b > set_Product_prod_b_b > set_Pr1324126435od_b_b ).
thf(tp_image_763305007od_b_b,type,
image_763305007od_b_b: set_Pr2109276827od_b_b > set_Pr1324126435od_b_b > set_Pr1324126435od_b_b ).
thf(tp_image_921732011_b_b_b,type,
image_921732011_b_b_b: set_Pr357419743_b_b_b > set_Product_prod_b_b > set_b ).
thf(tp_image_924992811_nat_b,type,
image_924992811_nat_b: set_Pr812188767_nat_b > set_Pr1987088711_a_nat > set_b ).
thf(tp_image_984343321od_b_b,type,
image_984343321od_b_b: set_Pr2060523537od_b_b > set_b > set_Pr1324126435od_b_b ).
thf(tp_image_b_b,type,
image_b_b: set_Product_prod_b_b > set_b > set_b ).
thf(tp_insert1167839429_a_nat,type,
insert1167839429_a_nat: labele935650037_a_nat > set_la1083530965_a_nat > set_la1083530965_a_nat ).
thf(tp_insert1574423351_a_nat,type,
insert1574423351_a_nat: produc1871334759_a_nat > set_Pr1987088711_a_nat > set_Pr1987088711_a_nat ).
thf(tp_insert1810136247_a_nat,type,
insert1810136247_a_nat: produc398057191_a_nat > set_Pr924198087_a_nat > set_Pr924198087_a_nat ).
thf(tp_insert1909710879tant_a,type,
insert1909710879tant_a: standard_Constant_a > set_St761939237tant_a > set_St761939237tant_a ).
thf(tp_insert1952693431od_b_b,type,
insert1952693431od_b_b: product_prod_b_b > set_Product_prod_b_b > set_Product_prod_b_b ).
thf(tp_insert2037698781od_b_b,type,
insert2037698781od_b_b: produc1213276845od_b_b > set_Pr1324126435od_b_b > set_Pr1324126435od_b_b ).
thf(tp_insert_b,type,
insert_b: b > set_b > set_b ).
thf(tp_l,type,
l: set_St761939237tant_a ).
thf(tp_l2,type,
l2: standard_Constant_a ).
thf(tp_labele1230159100nt_a_b,type,
labele1230159100nt_a_b: set_Pr1324126435od_b_b > set_b > labele1159362096nt_a_b ).
thf(tp_labele1424214014nt_a_b,type,
labele1424214014nt_a_b: labele1159362096nt_a_b > set_b ).
thf(tp_labele1741081071nt_a_b,type,
labele1741081071nt_a_b: labele1159362096nt_a_b > set_Pr1324126435od_b_b ).
thf(tp_labele2032816061od_b_b,type,
labele2032816061od_b_b: labele1644675410od_b_b > set_Pr1190604087od_b_b ).
thf(tp_labele27098724_a_nat,type,
labele27098724_a_nat: set_Pr197580003_a_nat > set_Pr1987088711_a_nat > labele1322729112_a_nat ).
thf(tp_labele372159959od_b_b,type,
labele372159959od_b_b: labele1835558936od_b_b > set_Pr1021918435od_b_b ).
thf(tp_labele442485990od_b_b,type,
labele442485990od_b_b: labele1835558936od_b_b > set_Product_prod_b_b ).
thf(tp_labele595103470od_b_b,type,
labele595103470od_b_b: labele1644675410od_b_b > set_Pr1324126435od_b_b ).
thf(tp_mainta1604381365_nat_b,type,
mainta1604381365_nat_b: produc1871334759_a_nat > labele1159362096nt_a_b > $o ).
thf(tp_mainta374363448_a_b_b,type,
mainta374363448_a_b_b: produc1398946881nt_a_b > labele1159362096nt_a_b > $o ).
thf(tp_map_gr1314489926tant_a,type,
map_gr1314489926tant_a: set_Pr357419743_b_b_b > labele1835558936od_b_b > labele1159362096nt_a_b ).
thf(tp_map_gr1495881666tant_a,type,
map_gr1495881666tant_a: set_Pr1906739389_b_b_b > labele1644675410od_b_b > labele1159362096nt_a_b ).
thf(tp_map_gr926947118tant_a,type,
map_gr926947118tant_a: set_Product_prod_b_b > labele1159362096nt_a_b > labele1159362096nt_a_b ).
thf(tp_member1086024932od_b_b,type,
member1086024932od_b_b: produc970027067od_b_b > set_Pr2109276827od_b_b > $o ).
thf(tp_member1214736488tant_a,type,
member1214736488tant_a: produc90515391tant_a > set_Pr154086431tant_a > $o ).
thf(tp_member1285940496od_b_b,type,
member1285940496od_b_b: product_prod_b_b > set_Product_prod_b_b > $o ).
thf(tp_member1417789726_b_b_b,type,
member1417789726_b_b_b: produc276146823_b_b_b > set_Pr1906739389_b_b_b > $o ).
thf(tp_member147868824od_b_b,type,
member147868824od_b_b: produc1084374401od_b_b > set_Pr1190604087od_b_b > $o ).
thf(tp_member1516365892od_b_b,type,
member1516365892od_b_b: produc1213276845od_b_b > set_Pr1324126435od_b_b > $o ).
thf(tp_member1533761242od_b_b,type,
member1533761242od_b_b: produc1169496899od_b_b > set_Pr1954438265od_b_b > $o ).
thf(tp_member1544800936_nat_b,type,
member1544800936_nat_b: produc845793663_nat_b > set_Pr812188767_nat_b > $o ).
thf(tp_member1632892294tant_a,type,
member1632892294tant_a: standard_Constant_a > set_St761939237tant_a > $o ).
thf(tp_member1652792080od_b_b,type,
member1652792080od_b_b: produc1168037607od_b_b > set_Pr2007082183od_b_b > $o ).
thf(tp_member1744485444od_b_b,type,
member1744485444od_b_b: produc644633773od_b_b > set_Pr1021918435od_b_b > $o ).
thf(tp_member301892752od_b_b,type,
member301892752od_b_b: produc1485083751od_b_b > set_Pr667377223od_b_b > $o ).
thf(tp_member351494440_b_b_b,type,
member351494440_b_b_b: produc2112523263_b_b_b > set_Pr357419743_b_b_b > $o ).
thf(tp_member4694106od_b_b,type,
member4694106od_b_b: produc1052326083od_b_b > set_Pr1071216121od_b_b > $o ).
thf(tp_member584645392_a_nat,type,
member584645392_a_nat: produc398057191_a_nat > set_Pr924198087_a_nat > $o ).
thf(tp_member599505522od_b_b,type,
member599505522od_b_b: produc1605346267od_b_b > set_Pr2060523537od_b_b > $o ).
thf(tp_member641857272od_b_b,type,
member641857272od_b_b: produc255402447od_b_b > set_Pr621705391od_b_b > $o ).
thf(tp_member832397200_a_nat,type,
member832397200_a_nat: produc1871334759_a_nat > set_Pr1987088711_a_nat > $o ).
thf(tp_member942707974od_b_b,type,
member942707974od_b_b: produc1990339951od_b_b > set_Pr2134561957od_b_b > $o ).
thf(tp_member_b,type,
member_b: b > set_b > $o ).
thf(tp_ord_le1036320359od_b_b,type,
ord_le1036320359od_b_b: set_Product_prod_b_b > set_Product_prod_b_b > $o ).
thf(tp_ord_le107617383_a_nat,type,
ord_le107617383_a_nat: set_Pr924198087_a_nat > set_Pr924198087_a_nat > $o ).
thf(tp_ord_le123089219od_b_b,type,
ord_le123089219od_b_b: set_Pr1324126435od_b_b > set_Pr1324126435od_b_b > $o ).
thf(tp_ord_le1484132922_nat_b,type,
ord_le1484132922_nat_b: set_Pr2106913242_nat_b > set_Pr2106913242_nat_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_less_eq_set_b,type,
ord_less_eq_set_b: set_b > set_b > $o ).
thf(tp_p,type,
p: b > b > $o ).
thf(tp_produc1001682799_b_b_b,type,
produc1001682799_b_b_b: product_prod_b_b > b > produc2112523263_b_b_b ).
thf(tp_produc1257047359od_b_b,type,
produc1257047359od_b_b: b > product_prod_b_b > produc255402447od_b_b ).
thf(tp_produc1432590431od_b_b,type,
produc1432590431od_b_b: standard_Constant_a > product_prod_b_b > produc1213276845od_b_b ).
thf(tp_produc1569511545nt_a_b,type,
produc1569511545nt_a_b: labele1159362096nt_a_b > labele1159362096nt_a_b > produc1398946881nt_a_b ).
thf(tp_produc1580777273_b_b_b,type,
produc1580777273_b_b_b: produc1213276845od_b_b > b > produc276146823_b_b_b ).
thf(tp_produc1597690145od_b_b,type,
produc1597690145od_b_b: produc1213276845od_b_b > product_prod_b_b > produc1990339951od_b_b ).
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_produc1788032435od_b_b,type,
produc1788032435od_b_b: standard_Constant_a > produc970027067od_b_b > produc1084374401od_b_b ).
thf(tp_produc2059954415_nat_b,type,
produc2059954415_nat_b: produc1871334759_a_nat > b > produc845793663_nat_b ).
thf(tp_produc342647tant_a,type,
produc342647tant_a: standard_Constant_a > standard_Constant_a > produc90515391tant_a ).
thf(tp_produc401731773od_b_b,type,
produc401731773od_b_b: produc1871334759_a_nat > produc1213276845od_b_b > produc1169496899od_b_b ).
thf(tp_produc449289715od_b_b,type,
produc449289715od_b_b: produc1213276845od_b_b > produc1213276845od_b_b > produc970027067od_b_b ).
thf(tp_produc546497367od_b_b,type,
produc546497367od_b_b: product_prod_b_b > product_prod_b_b > produc1168037607od_b_b ).
thf(tp_produc590959831od_b_b,type,
produc590959831od_b_b: produc1871334759_a_nat > product_prod_b_b > produc1485083751od_b_b ).
thf(tp_produc618266719od_b_b,type,
produc618266719od_b_b: standard_Constant_a > produc1168037607od_b_b > produc644633773od_b_b ).
thf(tp_produc732676669od_b_b,type,
produc732676669od_b_b: product_prod_b_b > produc1213276845od_b_b > produc1052326083od_b_b ).
thf(tp_produc800495189od_b_b,type,
produc800495189od_b_b: b > produc1213276845od_b_b > produc1605346267od_b_b ).
thf(tp_product_Pair_b_b,type,
product_Pair_b_b: b > b > product_prod_b_b ).
thf(tp_refl_o1031343860_a_nat,type,
refl_o1031343860_a_nat: set_la1083530965_a_nat > set_Pr1987088711_a_nat > $o ).
thf(tp_refl_o1213627494_a_nat,type,
refl_o1213627494_a_nat: set_Pr1987088711_a_nat > set_Pr924198087_a_nat > $o ).
thf(tp_refl_o1921098222od_b_b,type,
refl_o1921098222od_b_b: set_Pr1324126435od_b_b > set_Pr2109276827od_b_b > $o ).
thf(tp_refl_o2134473190od_b_b,type,
refl_o2134473190od_b_b: set_Product_prod_b_b > set_Pr2007082183od_b_b > $o ).
thf(tp_refl_on_b,type,
refl_on_b: set_b > set_Product_prod_b_b > $o ).
thf(tp_relcom112561144od_b_b,type,
relcom112561144od_b_b: set_Pr1649131859tant_a > set_Pr1324126435od_b_b > set_Pr621705391od_b_b ).
thf(tp_relcom1338300020_a_nat,type,
relcom1338300020_a_nat: set_Pr1987088711_a_nat > set_Pr1987088711_a_nat > set_Pr1987088711_a_nat ).
thf(tp_relcom1823941168od_b_b,type,
relcom1823941168od_b_b: set_Pr1324126435od_b_b > set_Pr2007082183od_b_b > set_Pr1324126435od_b_b ).
thf(tp_relcom883816262od_b_b,type,
relcom883816262od_b_b: set_Pr154086431tant_a > set_Pr1324126435od_b_b > set_Pr1324126435od_b_b ).
thf(tp_relcomp_b_b_b,type,
relcomp_b_b_b: set_Product_prod_b_b > set_Product_prod_b_b > set_Product_prod_b_b ).
thf(tp_restri446606278nt_a_b,type,
restri446606278nt_a_b: labele1159362096nt_a_b > labele1159362096nt_a_b ).
thf(tp_sK10_SY127,type,
sK10_SY127: b > set_b > b > set_b > set_b ).
thf(tp_sK11_SY127,type,
sK11_SY127: b > set_b > b > set_b > set_b ).
thf(tp_sK12_SY127,type,
sK12_SY127: b > set_b > b > set_b > set_b ).
thf(tp_sK13_SY127,type,
sK13_SY127: set_b > b > set_b > b > set_b > set_b ).
thf(tp_sK14_SY127,type,
sK14_SY127: set_b > b > set_b > b > set_b > set_b ).
thf(tp_sK1_SY89,type,
sK1_SY89: set_b > b ).
thf(tp_sK2_SY107,type,
sK2_SY107: set_b > set_b > b ).
thf(tp_sK3_SY71,type,
sK3_SY71: set_b > b ).
thf(tp_sK4_SY111,type,
sK4_SY111: b > set_b > set_b ).
thf(tp_sK5_SY113,type,
sK5_SY113: b > set_b > set_b ).
thf(tp_sK6_SY128,type,
sK6_SY128: set_b > set_b > b ).
thf(tp_sK7_SY129,type,
sK7_SY129: set_b > set_b > b ).
thf(tp_sK8_SY79,type,
sK8_SY79: set_b > b ).
thf(tp_sK9_SY79,type,
sK9_SY79: b > set_b > b ).
thf(tp_semant55076487nt_a_b,type,
semant55076487nt_a_b: labele1159362096nt_a_b > allego510293162tant_a > set_Product_prod_b_b ).
thf(tp_standa1568205540ules_a,type,
standa1568205540ules_a: set_St761939237tant_a > set_Pr1987088711_a_nat ).
thf(tp_standa1795879409tant_a,type,
standa1795879409tant_a: standard_Constant_a > produc1871334759_a_nat ).
thf(tp_standa63370785tant_a,type,
standa63370785tant_a: standard_Constant_a > produc1871334759_a_nat ).
thf(tp_standa997693288tant_a,type,
standa997693288tant_a: standard_Constant_a > produc1871334759_a_nat ).
thf(tp_standard_S_Idt_a,type,
standard_S_Idt_a: standard_Constant_a ).
thf(tp_x,type,
x: b ).
thf(tp_y,type,
y: b ).
thf(3,axiom,
! [P: $o] :
( ( P = $true )
| ( P = $false ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_If_3_1_If_001tf__b_T) ).
thf(17,axiom,
! [A2: b,B3: b,A: set_b] :
( ( member_b @ A2 @ ( insert_b @ B3 @ A ) )
=> ( ( A2 != B3 )
=> ( member_b @ A2 @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_342_insertE) ).
thf(21,axiom,
! [A2: b,B: set_b] : ( member_b @ A2 @ ( insert_b @ A2 @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_338_insertI1) ).
thf(25,axiom,
! [A2: b,B: set_b,B3: b] :
( ( member_b @ A2 @ B )
=> ( member_b @ A2 @ ( insert_b @ B3 @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_334_insertI2) ).
thf(29,axiom,
! [X: b,A: set_b] :
( ( member_b @ X @ A )
=> ~ ! [B8: set_b] :
( ( A
= ( insert_b @ X @ B8 ) )
=> ( member_b @ X @ B8 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_330_Set_Oset__insert) ).
thf(33,axiom,
! [X: b,A: set_b,B: set_b] :
( ~ ( member_b @ X @ A )
=> ( ~ ( member_b @ X @ B )
=> ( ( ( insert_b @ X @ A )
= ( insert_b @ X @ B ) )
= ( A = B ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_326_insert__ident) ).
thf(37,axiom,
! [A2: b,A: set_b] :
( ( member_b @ A2 @ A )
=> ( ( insert_b @ A2 @ A )
= A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_322_insert__absorb) ).
thf(41,axiom,
! [A2: b,A: set_b,B3: b,B: set_b] :
( ~ ( member_b @ A2 @ A )
=> ( ~ ( member_b @ B3 @ B )
=> ( ( ( insert_b @ A2 @ A )
= ( insert_b @ B3 @ B ) )
= ( ( ( A2 = B3 )
=> ( A = B ) )
& ( ( A2 != B3 )
=> ? [C4: set_b] :
( ( A
= ( insert_b @ B3 @ C4 ) )
& ~ ( member_b @ B3 @ C4 )
& ( B
= ( insert_b @ A2 @ C4 ) )
& ~ ( member_b @ A2 @ C4 ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_318_insert__eq__iff) ).
thf(47,axiom,
! [A2: b,A: set_b] :
( ( member_b @ A2 @ A )
=> ? [B8: set_b] :
( ( A
= ( insert_b @ A2 @ B8 ) )
& ~ ( member_b @ A2 @ B8 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_312_mk__disjoint__insert) ).
thf(51,axiom,
! [A: set_b,B: set_b,X: b] :
( ( ord_less_eq_set_b @ A @ B )
=> ( ( member_b @ X @ A )
=> ( member_b @ X @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_308_in__mono) ).
thf(54,axiom,
! [A: set_b,B: set_b,C: b] :
( ( ord_less_eq_set_b @ A @ B )
=> ( ( member_b @ C @ A )
=> ( member_b @ C @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_305_subsetD) ).
thf(57,axiom,
( ord_less_eq_set_b
= ( ^ [A7: set_b,B7: set_b] :
! [X5: b] :
( ( member_b @ X5 @ A7 )
=> ( member_b @ X5 @ B7 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_302_subset__eq) ).
thf(60,axiom,
( ord_less_eq_set_b
= ( ^ [A7: set_b,B7: set_b] :
! [T: b] :
( ( member_b @ T @ A7 )
=> ( member_b @ T @ B7 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_299_subset__iff) ).
thf(62,axiom,
! [A2: b] :
~ ( member_b @ A2 @ bot_bot_set_b ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_297_emptyE) ).
thf(66,axiom,
! [A: set_b,A2: b] :
( ( A = bot_bot_set_b )
=> ~ ( member_b @ A2 @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_293_equals0D) ).
thf(70,axiom,
! [A: set_b] :
( ! [Y3: b] :
~ ( member_b @ Y3 @ A )
=> ( A = bot_bot_set_b ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_289_equals0I) ).
thf(74,axiom,
! [A: set_b] :
( ( ? [X5: b] : ( member_b @ X5 @ A ) )
= ( A != bot_bot_set_b ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_285_ex__in__conv) ).
thf(95,axiom,
! [A2: b,B: set_b,B3: b] :
( ( ~ ( member_b @ A2 @ B )
=> ( A2 = B3 ) )
=> ( member_b @ A2 @ ( insert_b @ B3 @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_264_insertCI) ).
thf(99,axiom,
! [A2: b,B3: b,A: set_b] :
( ( member_b @ A2 @ ( insert_b @ B3 @ A ) )
= ( ( A2 = B3 )
| ( member_b @ A2 @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_260_insert__iff) ).
thf(105,axiom,
! [A: set_b,B: set_b] :
( ! [X4: b] :
( ( member_b @ X4 @ A )
=> ( member_b @ X4 @ B ) )
=> ( ord_less_eq_set_b @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_254_subsetI) ).
thf(107,axiom,
! [C: b] :
~ ( member_b @ C @ bot_bot_set_b ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_252_empty__iff) ).
thf(111,axiom,
! [A: set_b] :
( ( ! [X5: b] :
~ ( member_b @ X5 @ A ) )
= ( A = bot_bot_set_b ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_248_all__not__in__conv) ).
thf(310,axiom,
! [A: set_b] :
( ( collect_b
@ ^ [X5: b] : ( member_b @ X5 @ A ) )
= A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_49_Collect__mem__eq) ).
thf(313,axiom,
! [A2: b,P: b > $o] :
( ( member_b @ A2 @ ( collect_b @ P ) )
= ( P @ A2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_46_mem__Collect__eq) ).
thf(322,axiom,
! [Labeled_graph: labele1159362096nt_a_b,Labeled_graph2: labele1159362096nt_a_b] :
( ( ( ( labele1741081071nt_a_b @ Labeled_graph )
= ( labele1741081071nt_a_b @ Labeled_graph2 ) )
& ( ( labele1424214014nt_a_b @ Labeled_graph )
= ( labele1424214014nt_a_b @ Labeled_graph2 ) ) )
=> ( Labeled_graph = Labeled_graph2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_37_labeled__graph_Oexpand) ).
thf(343,axiom,
! [G: labele1159362096nt_a_b] :
( ( labele1424214014nt_a_b @ ( restri446606278nt_a_b @ G ) )
= ( labele1424214014nt_a_b @ G ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_16_vertices__restrict) ).
thf(345,axiom,
! [X1: set_Pr1324126435od_b_b,X22: set_b] :
( ( labele1424214014nt_a_b @ ( labele1230159100nt_a_b @ X1 @ X22 ) )
= X22 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_14_labeled__graph_Osel_I2_J) ).
thf(354,axiom,
! [X: b] :
( ( member_b @ X @ ( labele1424214014nt_a_b @ g ) )
= ( p @ X @ X ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5_r1) ).
thf(355,axiom,
( g
= ( restri446606278nt_a_b @ g ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4_assms_I1_J) ).
thf(356,axiom,
! [X: b] :
( ( member_b @ X @ ( labele1424214014nt_a_b @ g ) )
=> ( member_b @ ( f @ X ) @ ( labele1424214014nt_a_b @ g ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3_gu2) ).
thf(357,axiom,
member_b @ ( f @ x ) @ ( labele1424214014nt_a_b @ g ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2_fv_I1_J) ).
thf(359,axiom,
! [Xa: b] :
( ( member_b @ ( f @ Xa ) @ ( labele1424214014nt_a_b @ g ) )
=> ( member_b @ Xa @ ( labele1424214014nt_a_b @ g ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0__092_060open_062_092_060And_062xa_O_A_092_060lbrakk_062f_Axa_A_092_060in_062_Avertices_AG_059_Axa_A_092_060notin_062_Avertices_AG_092_060rbrakk_062_A_092_060Longrightarrow_062_AFalse_092_060close_062) ).
thf(360,conjecture,
member_b @ x @ ( labele1424214014nt_a_b @ g ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
thf(361,negated_conjecture,
( ( member_b @ x @ ( labele1424214014nt_a_b @ g ) )
= $false ),
inference(negate_conjecture,[status(cth)],[360]) ).
thf(362,plain,
( ( member_b @ x @ ( labele1424214014nt_a_b @ g ) )
= $false ),
inference(unfold_def,[status(thm)],[361]) ).
thf(363,plain,
( ( ! [P: $o] :
( ( P = $true )
| ( P = $false ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(364,plain,
( ( ! [A2: b,B3: b,A: set_b] :
( ( member_b @ A2 @ ( insert_b @ B3 @ A ) )
=> ( ( A2 != B3 )
=> ( member_b @ A2 @ A ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[17]) ).
thf(365,plain,
( ( ! [A2: b,B: set_b] : ( member_b @ A2 @ ( insert_b @ A2 @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[21]) ).
thf(366,plain,
( ( ! [A2: b,B: set_b,B3: b] :
( ( member_b @ A2 @ B )
=> ( member_b @ A2 @ ( insert_b @ B3 @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[25]) ).
thf(367,plain,
( ( ! [X: b,A: set_b] :
( ( member_b @ X @ A )
=> ~ ! [B8: set_b] :
( ( A
= ( insert_b @ X @ B8 ) )
=> ( member_b @ X @ B8 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[29]) ).
thf(368,plain,
( ( ! [X: b,A: set_b,B: set_b] :
( ~ ( member_b @ X @ A )
=> ( ~ ( member_b @ X @ B )
=> ( ( ( insert_b @ X @ A )
= ( insert_b @ X @ B ) )
= ( A = B ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[33]) ).
thf(369,plain,
( ( ! [A2: b,A: set_b] :
( ( member_b @ A2 @ A )
=> ( ( insert_b @ A2 @ A )
= A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[37]) ).
thf(370,plain,
( ( ! [A2: b,A: set_b,B3: b,B: set_b] :
( ~ ( member_b @ A2 @ A )
=> ( ~ ( member_b @ B3 @ B )
=> ( ( ( insert_b @ A2 @ A )
= ( insert_b @ B3 @ B ) )
= ( ( ( A2 = B3 )
=> ( A = B ) )
& ( ( A2 != B3 )
=> ? [C4: set_b] :
( ( A
= ( insert_b @ B3 @ C4 ) )
& ~ ( member_b @ B3 @ C4 )
& ( B
= ( insert_b @ A2 @ C4 ) )
& ~ ( member_b @ A2 @ C4 ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[41]) ).
thf(371,plain,
( ( ! [A2: b,A: set_b] :
( ( member_b @ A2 @ A )
=> ? [B8: set_b] :
( ( A
= ( insert_b @ A2 @ B8 ) )
& ~ ( member_b @ A2 @ B8 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[47]) ).
thf(372,plain,
( ( ! [A: set_b,B: set_b,X: b] :
( ( ord_less_eq_set_b @ A @ B )
=> ( ( member_b @ X @ A )
=> ( member_b @ X @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[51]) ).
thf(373,plain,
( ( ! [A: set_b,B: set_b,C: b] :
( ( ord_less_eq_set_b @ A @ B )
=> ( ( member_b @ C @ A )
=> ( member_b @ C @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[54]) ).
thf(374,plain,
( ( ord_less_eq_set_b
= ( ^ [A7: set_b,B7: set_b] :
! [X5: b] :
( ( member_b @ X5 @ A7 )
=> ( member_b @ X5 @ B7 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[57]) ).
thf(375,plain,
( ( ord_less_eq_set_b
= ( ^ [A7: set_b,B7: set_b] :
! [T: b] :
( ( member_b @ T @ A7 )
=> ( member_b @ T @ B7 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[60]) ).
thf(376,plain,
( ( ! [A2: b] :
~ ( member_b @ A2 @ bot_bot_set_b ) )
= $true ),
inference(unfold_def,[status(thm)],[62]) ).
thf(377,plain,
( ( ! [A: set_b,A2: b] :
( ( A = bot_bot_set_b )
=> ~ ( member_b @ A2 @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[66]) ).
thf(378,plain,
( ( ! [A: set_b] :
( ! [Y3: b] :
~ ( member_b @ Y3 @ A )
=> ( A = bot_bot_set_b ) ) )
= $true ),
inference(unfold_def,[status(thm)],[70]) ).
thf(379,plain,
( ( ! [A: set_b] :
( ( ? [X5: b] : ( member_b @ X5 @ A ) )
= ( A != bot_bot_set_b ) ) )
= $true ),
inference(unfold_def,[status(thm)],[74]) ).
thf(380,plain,
( ( ! [A2: b,B: set_b,B3: b] :
( ( ~ ( member_b @ A2 @ B )
=> ( A2 = B3 ) )
=> ( member_b @ A2 @ ( insert_b @ B3 @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[95]) ).
thf(381,plain,
( ( ! [A2: b,B3: b,A: set_b] :
( ( member_b @ A2 @ ( insert_b @ B3 @ A ) )
= ( ( A2 = B3 )
| ( member_b @ A2 @ A ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[99]) ).
thf(382,plain,
( ( ! [A: set_b,B: set_b] :
( ! [X4: b] :
( ( member_b @ X4 @ A )
=> ( member_b @ X4 @ B ) )
=> ( ord_less_eq_set_b @ A @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[105]) ).
thf(383,plain,
( ( ! [C: b] :
~ ( member_b @ C @ bot_bot_set_b ) )
= $true ),
inference(unfold_def,[status(thm)],[107]) ).
thf(384,plain,
( ( ! [A: set_b] :
( ( ! [X5: b] :
~ ( member_b @ X5 @ A ) )
= ( A = bot_bot_set_b ) ) )
= $true ),
inference(unfold_def,[status(thm)],[111]) ).
thf(385,plain,
( ( ! [A: set_b] :
( ( collect_b
@ ^ [X5: b] : ( member_b @ X5 @ A ) )
= A ) )
= $true ),
inference(unfold_def,[status(thm)],[310]) ).
thf(386,plain,
( ( ! [A2: b,P: b > $o] :
( ( member_b @ A2 @ ( collect_b @ P ) )
= ( P @ A2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[313]) ).
thf(387,plain,
( ( ! [Labeled_graph: labele1159362096nt_a_b,Labeled_graph2: labele1159362096nt_a_b] :
( ( ( ( labele1741081071nt_a_b @ Labeled_graph )
= ( labele1741081071nt_a_b @ Labeled_graph2 ) )
& ( ( labele1424214014nt_a_b @ Labeled_graph )
= ( labele1424214014nt_a_b @ Labeled_graph2 ) ) )
=> ( Labeled_graph = Labeled_graph2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[322]) ).
thf(388,plain,
( ( ! [G: labele1159362096nt_a_b] :
( ( labele1424214014nt_a_b @ ( restri446606278nt_a_b @ G ) )
= ( labele1424214014nt_a_b @ G ) ) )
= $true ),
inference(unfold_def,[status(thm)],[343]) ).
thf(389,plain,
( ( ! [X1: set_Pr1324126435od_b_b,X22: set_b] :
( ( labele1424214014nt_a_b @ ( labele1230159100nt_a_b @ X1 @ X22 ) )
= X22 ) )
= $true ),
inference(unfold_def,[status(thm)],[345]) ).
thf(390,plain,
( ( ! [X: b] :
( ( member_b @ X @ ( labele1424214014nt_a_b @ g ) )
= ( p @ X @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[354]) ).
thf(391,plain,
( ( g
= ( restri446606278nt_a_b @ g ) )
= $true ),
inference(unfold_def,[status(thm)],[355]) ).
thf(392,plain,
( ( ! [X: b] :
( ( member_b @ X @ ( labele1424214014nt_a_b @ g ) )
=> ( member_b @ ( f @ X ) @ ( labele1424214014nt_a_b @ g ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[356]) ).
thf(393,plain,
( ( member_b @ ( f @ x ) @ ( labele1424214014nt_a_b @ g ) )
= $true ),
inference(unfold_def,[status(thm)],[357]) ).
thf(394,plain,
( ( ! [Xa: b] :
( ( member_b @ ( f @ Xa ) @ ( labele1424214014nt_a_b @ g ) )
=> ( member_b @ Xa @ ( labele1424214014nt_a_b @ g ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[359]) ).
thf(395,plain,
( ( ~ ( member_b @ x @ ( labele1424214014nt_a_b @ g ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[362]) ).
thf(396,plain,
( ( ! [Xa: b] :
( ( member_b @ ( f @ Xa ) @ ( labele1424214014nt_a_b @ g ) )
=> ( member_b @ Xa @ ( labele1424214014nt_a_b @ g ) ) ) )
= $true ),
inference(copy,[status(thm)],[394]) ).
thf(397,plain,
( ( member_b @ ( f @ x ) @ ( labele1424214014nt_a_b @ g ) )
= $true ),
inference(copy,[status(thm)],[393]) ).
thf(398,plain,
( ( ! [X: b] :
( ( member_b @ X @ ( labele1424214014nt_a_b @ g ) )
=> ( member_b @ ( f @ X ) @ ( labele1424214014nt_a_b @ g ) ) ) )
= $true ),
inference(copy,[status(thm)],[392]) ).
thf(399,plain,
( ( g
= ( restri446606278nt_a_b @ g ) )
= $true ),
inference(copy,[status(thm)],[391]) ).
thf(400,plain,
( ( ! [X: b] :
( ( member_b @ X @ ( labele1424214014nt_a_b @ g ) )
= ( p @ X @ X ) ) )
= $true ),
inference(copy,[status(thm)],[390]) ).
thf(401,plain,
( ( ! [X1: set_Pr1324126435od_b_b,X22: set_b] :
( ( labele1424214014nt_a_b @ ( labele1230159100nt_a_b @ X1 @ X22 ) )
= X22 ) )
= $true ),
inference(copy,[status(thm)],[389]) ).
thf(402,plain,
( ( ! [G: labele1159362096nt_a_b] :
( ( labele1424214014nt_a_b @ ( restri446606278nt_a_b @ G ) )
= ( labele1424214014nt_a_b @ G ) ) )
= $true ),
inference(copy,[status(thm)],[388]) ).
thf(403,plain,
( ( ! [Labeled_graph: labele1159362096nt_a_b,Labeled_graph2: labele1159362096nt_a_b] :
( ( ( ( labele1741081071nt_a_b @ Labeled_graph )
= ( labele1741081071nt_a_b @ Labeled_graph2 ) )
& ( ( labele1424214014nt_a_b @ Labeled_graph )
= ( labele1424214014nt_a_b @ Labeled_graph2 ) ) )
=> ( Labeled_graph = Labeled_graph2 ) ) )
= $true ),
inference(copy,[status(thm)],[387]) ).
thf(404,plain,
( ( ! [A2: b,P: b > $o] :
( ( member_b @ A2 @ ( collect_b @ P ) )
= ( P @ A2 ) ) )
= $true ),
inference(copy,[status(thm)],[386]) ).
thf(405,plain,
( ( ! [A: set_b] :
( ( collect_b
@ ^ [X5: b] : ( member_b @ X5 @ A ) )
= A ) )
= $true ),
inference(copy,[status(thm)],[385]) ).
thf(406,plain,
( ( ! [A: set_b] :
( ( ! [X5: b] :
~ ( member_b @ X5 @ A ) )
= ( A = bot_bot_set_b ) ) )
= $true ),
inference(copy,[status(thm)],[384]) ).
thf(407,plain,
( ( ! [C: b] :
~ ( member_b @ C @ bot_bot_set_b ) )
= $true ),
inference(copy,[status(thm)],[383]) ).
thf(408,plain,
( ( ! [A: set_b,B: set_b] :
( ! [X4: b] :
( ( member_b @ X4 @ A )
=> ( member_b @ X4 @ B ) )
=> ( ord_less_eq_set_b @ A @ B ) ) )
= $true ),
inference(copy,[status(thm)],[382]) ).
thf(409,plain,
( ( ! [A2: b,B3: b,A: set_b] :
( ( member_b @ A2 @ ( insert_b @ B3 @ A ) )
= ( ( A2 = B3 )
| ( member_b @ A2 @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[381]) ).
thf(410,plain,
( ( ! [A2: b,B: set_b,B3: b] :
( ( ~ ( member_b @ A2 @ B )
=> ( A2 = B3 ) )
=> ( member_b @ A2 @ ( insert_b @ B3 @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[380]) ).
thf(411,plain,
( ( ! [A: set_b] :
( ( ? [X5: b] : ( member_b @ X5 @ A ) )
= ( A != bot_bot_set_b ) ) )
= $true ),
inference(copy,[status(thm)],[379]) ).
thf(412,plain,
( ( ! [A: set_b] :
( ! [Y3: b] :
~ ( member_b @ Y3 @ A )
=> ( A = bot_bot_set_b ) ) )
= $true ),
inference(copy,[status(thm)],[378]) ).
thf(413,plain,
( ( ! [A: set_b,A2: b] :
( ( A = bot_bot_set_b )
=> ~ ( member_b @ A2 @ A ) ) )
= $true ),
inference(copy,[status(thm)],[377]) ).
thf(414,plain,
( ( ! [A2: b] :
~ ( member_b @ A2 @ bot_bot_set_b ) )
= $true ),
inference(copy,[status(thm)],[376]) ).
thf(415,plain,
( ( ord_less_eq_set_b
= ( ^ [A7: set_b,B7: set_b] :
! [T: b] :
( ( member_b @ T @ A7 )
=> ( member_b @ T @ B7 ) ) ) )
= $true ),
inference(copy,[status(thm)],[375]) ).
thf(416,plain,
( ( ord_less_eq_set_b
= ( ^ [A7: set_b,B7: set_b] :
! [X5: b] :
( ( member_b @ X5 @ A7 )
=> ( member_b @ X5 @ B7 ) ) ) )
= $true ),
inference(copy,[status(thm)],[374]) ).
thf(417,plain,
( ( ! [A: set_b,B: set_b,C: b] :
( ( ord_less_eq_set_b @ A @ B )
=> ( ( member_b @ C @ A )
=> ( member_b @ C @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[373]) ).
thf(418,plain,
( ( ! [A: set_b,B: set_b,X: b] :
( ( ord_less_eq_set_b @ A @ B )
=> ( ( member_b @ X @ A )
=> ( member_b @ X @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[372]) ).
thf(419,plain,
( ( ! [A2: b,A: set_b] :
( ( member_b @ A2 @ A )
=> ? [B8: set_b] :
( ( A
= ( insert_b @ A2 @ B8 ) )
& ~ ( member_b @ A2 @ B8 ) ) ) )
= $true ),
inference(copy,[status(thm)],[371]) ).
thf(420,plain,
( ( ! [A2: b,A: set_b,B3: b,B: set_b] :
( ~ ( member_b @ A2 @ A )
=> ( ~ ( member_b @ B3 @ B )
=> ( ( ( insert_b @ A2 @ A )
= ( insert_b @ B3 @ B ) )
= ( ( ( A2 = B3 )
=> ( A = B ) )
& ( ( A2 != B3 )
=> ? [C4: set_b] :
( ( A
= ( insert_b @ B3 @ C4 ) )
& ~ ( member_b @ B3 @ C4 )
& ( B
= ( insert_b @ A2 @ C4 ) )
& ~ ( member_b @ A2 @ C4 ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[370]) ).
thf(421,plain,
( ( ! [A2: b,A: set_b] :
( ( member_b @ A2 @ A )
=> ( ( insert_b @ A2 @ A )
= A ) ) )
= $true ),
inference(copy,[status(thm)],[369]) ).
thf(422,plain,
( ( ! [X: b,A: set_b,B: set_b] :
( ~ ( member_b @ X @ A )
=> ( ~ ( member_b @ X @ B )
=> ( ( ( insert_b @ X @ A )
= ( insert_b @ X @ B ) )
= ( A = B ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[368]) ).
thf(423,plain,
( ( ! [X: b,A: set_b] :
( ( member_b @ X @ A )
=> ~ ! [B8: set_b] :
( ( A
= ( insert_b @ X @ B8 ) )
=> ( member_b @ X @ B8 ) ) ) )
= $true ),
inference(copy,[status(thm)],[367]) ).
thf(424,plain,
( ( ! [A2: b,B: set_b,B3: b] :
( ( member_b @ A2 @ B )
=> ( member_b @ A2 @ ( insert_b @ B3 @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[366]) ).
thf(425,plain,
( ( ! [A2: b,B: set_b] : ( member_b @ A2 @ ( insert_b @ A2 @ B ) ) )
= $true ),
inference(copy,[status(thm)],[365]) ).
thf(426,plain,
( ( ! [A2: b,B3: b,A: set_b] :
( ( member_b @ A2 @ ( insert_b @ B3 @ A ) )
=> ( ( A2 != B3 )
=> ( member_b @ A2 @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[364]) ).
thf(427,plain,
( ( ! [P: $o] :
( ( P = $true )
| ( P = $false ) ) )
= $true ),
inference(copy,[status(thm)],[363]) ).
thf(428,plain,
( ( ~ ( member_b @ x @ ( labele1424214014nt_a_b @ g ) ) )
= $true ),
inference(copy,[status(thm)],[395]) ).
thf(429,plain,
( ( ! [SX0: set_b,SX1: set_b] :
( ~ ! [SX2: b] :
( ~ ( member_b @ SX2 @ SX0 )
| ( member_b @ SX2 @ SX1 ) )
| ( ord_less_eq_set_b @ SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[408]) ).
thf(430,plain,
( ( ! [SX0: b,SX1: set_b,SX2: b] :
( ~ ( ~ ~ ( member_b @ SX0 @ SX1 )
| ( SX0 = SX2 ) )
| ( member_b @ SX0 @ ( insert_b @ SX2 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[410]) ).
thf(431,plain,
( ( ! [SX0: set_b] :
( ( ~ ! [SX1: b] :
~ ( member_b @ SX1 @ SX0 ) )
= ( SX0 != bot_bot_set_b ) ) )
= $true ),
inference(unfold_def,[status(thm)],[411]) ).
thf(432,plain,
( ( ! [SX0: b] :
( ~ ( member_b @ ( f @ SX0 ) @ ( labele1424214014nt_a_b @ g ) )
| ( member_b @ SX0 @ ( labele1424214014nt_a_b @ g ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[396]) ).
thf(433,plain,
( ( ! [SX0: b,SX1: set_b,SX2: set_b] :
( ~ ~ ( member_b @ SX0 @ SX1 )
| ~ ~ ( member_b @ SX0 @ SX2 )
| ( ( ( insert_b @ SX0 @ SX1 )
= ( insert_b @ SX0 @ SX2 ) )
= ( SX1 = SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[422]) ).
thf(434,plain,
( ( ! [SX0: b,SX1: set_b,SX2: b] :
( ~ ( member_b @ SX0 @ SX1 )
| ( member_b @ SX0 @ ( insert_b @ SX2 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[424]) ).
thf(435,plain,
( ( ! [SX0: b,SX1: set_b] :
( ~ ( member_b @ SX0 @ SX1 )
| ~ ! [SX2: set_b] :
( ( SX1
!= ( insert_b @ SX0 @ SX2 ) )
| ( member_b @ SX0 @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[423]) ).
thf(436,plain,
( ( ! [SX0: set_b,SX1: b] :
( ( SX0 != bot_bot_set_b )
| ~ ( member_b @ SX1 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[413]) ).
thf(437,plain,
( ( ! [SX0: set_b,SX1: set_b,SX2: b] :
( ~ ( ord_less_eq_set_b @ SX0 @ SX1 )
| ~ ( member_b @ SX2 @ SX0 )
| ( member_b @ SX2 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[418]) ).
thf(438,plain,
( ( ! [SX0: set_b] :
( ~ ! [SX1: b] :
~ ( member_b @ SX1 @ SX0 )
| ( SX0 = bot_bot_set_b ) ) )
= $true ),
inference(unfold_def,[status(thm)],[412]) ).
thf(439,plain,
( ( ! [SX0: b,SX1: set_b] :
( ~ ( member_b @ SX0 @ SX1 )
| ~ ! [SX2: set_b] :
~ ~ ( ( SX1
!= ( insert_b @ SX0 @ SX2 ) )
| ~ ~ ( member_b @ SX0 @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[419]) ).
thf(440,plain,
( ( ! [SX0: b,SX1: b,SX2: set_b] :
( ~ ( member_b @ SX0 @ ( insert_b @ SX1 @ SX2 ) )
| ~ ( ( SX0 != SX1 ) )
| ( member_b @ SX0 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[426]) ).
thf(441,plain,
( ( ! [SX0: b,SX1: set_b,SX2: b,SX3: set_b] :
( ~ ~ ( member_b @ SX0 @ SX1 )
| ~ ~ ( member_b @ SX2 @ SX3 )
| ( ( ( insert_b @ SX0 @ SX1 )
= ( insert_b @ SX2 @ SX3 ) )
= ( ~ ( ~ ( ( SX0 != SX2 )
| ( SX1 = SX3 ) )
| ~ ( ~ ( ( SX0 != SX2 ) )
| ~ ! [SX4: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SX1
!= ( insert_b @ SX2 @ SX4 ) )
| ~ ~ ( member_b @ SX2 @ SX4 ) )
| ( SX3
!= ( insert_b @ SX0 @ SX4 ) ) )
| ~ ~ ( member_b @ SX0 @ SX4 ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[420]) ).
thf(442,plain,
( ( ! [SX0: b,SX1: set_b] :
( ~ ( member_b @ SX0 @ SX1 )
| ( ( insert_b @ SX0 @ SX1 )
= SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[421]) ).
thf(443,plain,
( ( ord_less_eq_set_b
= ( ^ [SX0: set_b,SX1: set_b] :
! [SX2: b] :
( ~ ( member_b @ SX2 @ SX0 )
| ( member_b @ SX2 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[415]) ).
thf(444,plain,
( ( ! [SX0: b] :
( ~ ( member_b @ SX0 @ ( labele1424214014nt_a_b @ g ) )
| ( member_b @ ( f @ SX0 ) @ ( labele1424214014nt_a_b @ g ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[398]) ).
thf(445,plain,
( ( ! [SX0: set_b,SX1: set_b,SX2: b] :
( ~ ( ord_less_eq_set_b @ SX0 @ SX1 )
| ~ ( member_b @ SX2 @ SX0 )
| ( member_b @ SX2 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[417]) ).
thf(446,plain,
( ( ord_less_eq_set_b
= ( ^ [SX0: set_b,SX1: set_b] :
! [SX2: b] :
( ~ ( member_b @ SX2 @ SX0 )
| ( member_b @ SX2 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[416]) ).
thf(447,plain,
( ( ! [SX0: labele1159362096nt_a_b,SX1: labele1159362096nt_a_b] :
( ~ ~ ( ( ( labele1741081071nt_a_b @ SX0 )
!= ( labele1741081071nt_a_b @ SX1 ) )
| ( ( labele1424214014nt_a_b @ SX0 )
!= ( labele1424214014nt_a_b @ SX1 ) ) )
| ( SX0 = SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[403]) ).
thf(448,plain,
! [SV1: b] :
( ( ( member_b @ SV1 @ ( labele1424214014nt_a_b @ g ) )
= ( p @ SV1 @ SV1 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[400]) ).
thf(449,plain,
! [SV2: set_Pr1324126435od_b_b] :
( ( ! [SY68: set_b] :
( ( labele1424214014nt_a_b @ ( labele1230159100nt_a_b @ SV2 @ SY68 ) )
= SY68 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[401]) ).
thf(450,plain,
! [SV3: labele1159362096nt_a_b] :
( ( ( labele1424214014nt_a_b @ ( restri446606278nt_a_b @ SV3 ) )
= ( labele1424214014nt_a_b @ SV3 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[402]) ).
thf(451,plain,
! [SV4: b] :
( ( ! [SY69: b > $o] :
( ( member_b @ SV4 @ ( collect_b @ SY69 ) )
= ( SY69 @ SV4 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[404]) ).
thf(452,plain,
! [SV5: set_b] :
( ( ( collect_b
@ ^ [SY70: b] : ( member_b @ SY70 @ SV5 ) )
= SV5 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[405]) ).
thf(453,plain,
! [SV6: set_b] :
( ( ( ! [SY71: b] :
~ ( member_b @ SY71 @ SV6 ) )
= ( SV6 = bot_bot_set_b ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[406]) ).
thf(454,plain,
! [SV7: b] :
( ( ~ ( member_b @ SV7 @ bot_bot_set_b ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[407]) ).
thf(455,plain,
! [SV8: b] :
( ( ! [SY72: b,SY73: set_b] :
( ( member_b @ SV8 @ ( insert_b @ SY72 @ SY73 ) )
= ( ( SV8 = SY72 )
| ( member_b @ SV8 @ SY73 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[409]) ).
thf(456,plain,
! [SV9: b] :
( ( ~ ( member_b @ SV9 @ bot_bot_set_b ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[414]) ).
thf(457,plain,
! [SV10: b] :
( ( ! [SY74: set_b] : ( member_b @ SV10 @ ( insert_b @ SV10 @ SY74 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[425]) ).
thf(458,plain,
! [SV11: $o] :
( ( ( SV11 = $true )
| ( SV11 = $false ) )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[427]) ).
thf(459,plain,
( ( ( $true = $true )
| ( $true = $false ) )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[427]) ).
thf(460,plain,
( ( ( $false = $true )
| ( $false = $false ) )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[427]) ).
thf(461,plain,
( ( member_b @ x @ ( labele1424214014nt_a_b @ g ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[428]) ).
thf(462,plain,
! [SV12: set_b] :
( ( ! [SY75: set_b] :
( ~ ! [SY76: b] :
( ~ ( member_b @ SY76 @ SV12 )
| ( member_b @ SY76 @ SY75 ) )
| ( ord_less_eq_set_b @ SV12 @ SY75 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[429]) ).
thf(463,plain,
! [SV13: b] :
( ( ! [SY77: set_b,SY78: b] :
( ~ ( ~ ~ ( member_b @ SV13 @ SY77 )
| ( SV13 = SY78 ) )
| ( member_b @ SV13 @ ( insert_b @ SY78 @ SY77 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[430]) ).
thf(464,plain,
! [SV14: set_b] :
( ( ( ~ ! [SY79: b] :
~ ( member_b @ SY79 @ SV14 ) )
= ( SV14 != bot_bot_set_b ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[431]) ).
thf(465,plain,
! [SV15: b] :
( ( ~ ( member_b @ ( f @ SV15 ) @ ( labele1424214014nt_a_b @ g ) )
| ( member_b @ SV15 @ ( labele1424214014nt_a_b @ g ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[432]) ).
thf(466,plain,
! [SV16: b] :
( ( ! [SY80: set_b,SY81: set_b] :
( ~ ~ ( member_b @ SV16 @ SY80 )
| ~ ~ ( member_b @ SV16 @ SY81 )
| ( ( ( insert_b @ SV16 @ SY80 )
= ( insert_b @ SV16 @ SY81 ) )
= ( SY80 = SY81 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[433]) ).
thf(467,plain,
! [SV17: b] :
( ( ! [SY82: set_b,SY83: b] :
( ~ ( member_b @ SV17 @ SY82 )
| ( member_b @ SV17 @ ( insert_b @ SY83 @ SY82 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[434]) ).
thf(468,plain,
! [SV18: b] :
( ( ! [SY84: set_b] :
( ~ ( member_b @ SV18 @ SY84 )
| ~ ! [SY85: set_b] :
( ( SY84
!= ( insert_b @ SV18 @ SY85 ) )
| ( member_b @ SV18 @ SY85 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[435]) ).
thf(469,plain,
! [SV19: set_b] :
( ( ! [SY86: b] :
( ( SV19 != bot_bot_set_b )
| ~ ( member_b @ SY86 @ SV19 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[436]) ).
thf(470,plain,
! [SV20: set_b] :
( ( ! [SY87: set_b,SY88: b] :
( ~ ( ord_less_eq_set_b @ SV20 @ SY87 )
| ~ ( member_b @ SY88 @ SV20 )
| ( member_b @ SY88 @ SY87 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[437]) ).
thf(471,plain,
! [SV21: set_b] :
( ( ~ ! [SY89: b] :
~ ( member_b @ SY89 @ SV21 )
| ( SV21 = bot_bot_set_b ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[438]) ).
thf(472,plain,
! [SV22: b] :
( ( ! [SY90: set_b] :
( ~ ( member_b @ SV22 @ SY90 )
| ~ ! [SY91: set_b] :
~ ~ ( ( SY90
!= ( insert_b @ SV22 @ SY91 ) )
| ~ ~ ( member_b @ SV22 @ SY91 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[439]) ).
thf(473,plain,
! [SV23: b] :
( ( ! [SY92: b,SY93: set_b] :
( ~ ( member_b @ SV23 @ ( insert_b @ SY92 @ SY93 ) )
| ~ ( ( SV23 != SY92 ) )
| ( member_b @ SV23 @ SY93 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[440]) ).
thf(474,plain,
! [SV24: b] :
( ( ! [SY94: set_b,SY95: b,SY96: set_b] :
( ~ ~ ( member_b @ SV24 @ SY94 )
| ~ ~ ( member_b @ SY95 @ SY96 )
| ( ( ( insert_b @ SV24 @ SY94 )
= ( insert_b @ SY95 @ SY96 ) )
= ( ~ ( ~ ( ( SV24 != SY95 )
| ( SY94 = SY96 ) )
| ~ ( ~ ( ( SV24 != SY95 ) )
| ~ ! [SY97: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SY94
!= ( insert_b @ SY95 @ SY97 ) )
| ~ ~ ( member_b @ SY95 @ SY97 ) )
| ( SY96
!= ( insert_b @ SV24 @ SY97 ) ) )
| ~ ~ ( member_b @ SV24 @ SY97 ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[441]) ).
thf(475,plain,
! [SV25: b] :
( ( ! [SY98: set_b] :
( ~ ( member_b @ SV25 @ SY98 )
| ( ( insert_b @ SV25 @ SY98 )
= SY98 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[442]) ).
thf(476,plain,
( ( ! [SV26: set_b] :
( ( ord_less_eq_set_b @ SV26 )
= ( ^ [SY99: set_b] :
! [SY100: b] :
( ~ ( member_b @ SY100 @ SV26 )
| ( member_b @ SY100 @ SY99 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[443]) ).
thf(477,plain,
( ( ord_less_eq_set_b
= ( ^ [SX0: set_b,SX1: set_b] :
! [SX2: b] :
( ~ ( member_b @ SX2 @ SX0 )
| ( member_b @ SX2 @ SX1 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[443]) ).
thf(478,plain,
! [SV27: b] :
( ( ~ ( member_b @ SV27 @ ( labele1424214014nt_a_b @ g ) )
| ( member_b @ ( f @ SV27 ) @ ( labele1424214014nt_a_b @ g ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[444]) ).
thf(479,plain,
! [SV28: set_b] :
( ( ! [SY101: set_b,SY102: b] :
( ~ ( ord_less_eq_set_b @ SV28 @ SY101 )
| ~ ( member_b @ SY102 @ SV28 )
| ( member_b @ SY102 @ SY101 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[445]) ).
thf(480,plain,
( ( ! [SV29: set_b] :
( ( ord_less_eq_set_b @ SV29 )
= ( ^ [SY103: set_b] :
! [SY104: b] :
( ~ ( member_b @ SY104 @ SV29 )
| ( member_b @ SY104 @ SY103 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[446]) ).
thf(481,plain,
( ( ord_less_eq_set_b
= ( ^ [SX0: set_b,SX1: set_b] :
! [SX2: b] :
( ~ ( member_b @ SX2 @ SX0 )
| ( member_b @ SX2 @ SX1 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[446]) ).
thf(482,plain,
! [SV30: labele1159362096nt_a_b] :
( ( ! [SY105: labele1159362096nt_a_b] :
( ~ ~ ( ( ( labele1741081071nt_a_b @ SV30 )
!= ( labele1741081071nt_a_b @ SY105 ) )
| ( ( labele1424214014nt_a_b @ SV30 )
!= ( labele1424214014nt_a_b @ SY105 ) ) )
| ( SV30 = SY105 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[447]) ).
thf(483,plain,
! [SV1: b] :
( ( ~ ( ( member_b @ SV1 @ ( labele1424214014nt_a_b @ g ) )
| ( p @ SV1 @ SV1 ) )
| ~ ( ~ ( member_b @ SV1 @ ( labele1424214014nt_a_b @ g ) )
| ~ ( p @ SV1 @ SV1 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[448]) ).
thf(484,plain,
! [SV1: b] :
( ( ( member_b @ SV1 @ ( labele1424214014nt_a_b @ g ) )
= ( p @ SV1 @ SV1 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[448]) ).
thf(485,plain,
! [SV31: set_b,SV2: set_Pr1324126435od_b_b] :
( ( ( labele1424214014nt_a_b @ ( labele1230159100nt_a_b @ SV2 @ SV31 ) )
= SV31 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[449]) ).
thf(486,plain,
! [SV32: b > $o,SV4: b] :
( ( ( member_b @ SV4 @ ( collect_b @ SV32 ) )
= ( SV32 @ SV4 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[451]) ).
thf(487,plain,
! [SV6: set_b] :
( ( ~ ( ! [SY71: b] :
~ ( member_b @ SY71 @ SV6 )
| ( SV6 = bot_bot_set_b ) )
| ~ ( ~ ! [SY71: b] :
~ ( member_b @ SY71 @ SV6 )
| ( SV6 != bot_bot_set_b ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[453]) ).
thf(488,plain,
! [SV6: set_b] :
( ( ( ! [SY71: b] :
~ ( member_b @ SY71 @ SV6 ) )
= ( SV6 = bot_bot_set_b ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[453]) ).
thf(489,plain,
! [SV7: b] :
( ( member_b @ SV7 @ bot_bot_set_b )
= $false ),
inference(extcnf_not_pos,[status(thm)],[454]) ).
thf(490,plain,
! [SV33: b,SV8: b] :
( ( ! [SY106: set_b] :
( ( member_b @ SV8 @ ( insert_b @ SV33 @ SY106 ) )
= ( ( SV8 = SV33 )
| ( member_b @ SV8 @ SY106 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[455]) ).
thf(491,plain,
! [SV9: b] :
( ( member_b @ SV9 @ bot_bot_set_b )
= $false ),
inference(extcnf_not_pos,[status(thm)],[456]) ).
thf(492,plain,
! [SV34: set_b,SV10: b] :
( ( member_b @ SV10 @ ( insert_b @ SV10 @ SV34 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[457]) ).
thf(493,plain,
! [SV11: $o] :
( ( ( SV11 = $true )
= $true )
| ( ( SV11 = $false )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[458]) ).
thf(494,plain,
( ( ( $true = $true )
= $true )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[459]) ).
thf(495,plain,
( ( ( $false = $true )
= $true )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[460]) ).
thf(496,plain,
! [SV35: set_b,SV12: set_b] :
( ( ~ ! [SY107: b] :
( ~ ( member_b @ SY107 @ SV12 )
| ( member_b @ SY107 @ SV35 ) )
| ( ord_less_eq_set_b @ SV12 @ SV35 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[462]) ).
thf(497,plain,
! [SV36: set_b,SV13: b] :
( ( ! [SY108: b] :
( ~ ( ~ ~ ( member_b @ SV13 @ SV36 )
| ( SV13 = SY108 ) )
| ( member_b @ SV13 @ ( insert_b @ SY108 @ SV36 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[463]) ).
thf(498,plain,
! [SV14: set_b] :
( ( ~ ( ~ ! [SY79: b] :
~ ( member_b @ SY79 @ SV14 )
| ( SV14 != bot_bot_set_b ) )
| ~ ( ~ ~ ! [SY79: b] :
~ ( member_b @ SY79 @ SV14 )
| ~ ( ( SV14 != bot_bot_set_b ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[464]) ).
thf(499,plain,
! [SV14: set_b] :
( ( ( ~ ! [SY79: b] :
~ ( member_b @ SY79 @ SV14 ) )
= ( SV14 != bot_bot_set_b ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[464]) ).
thf(500,plain,
! [SV15: b] :
( ( ( ~ ( member_b @ ( f @ SV15 ) @ ( labele1424214014nt_a_b @ g ) ) )
= $true )
| ( ( member_b @ SV15 @ ( labele1424214014nt_a_b @ g ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[465]) ).
thf(501,plain,
! [SV37: set_b,SV16: b] :
( ( ! [SY109: set_b] :
( ~ ~ ( member_b @ SV16 @ SV37 )
| ~ ~ ( member_b @ SV16 @ SY109 )
| ( ( ( insert_b @ SV16 @ SV37 )
= ( insert_b @ SV16 @ SY109 ) )
= ( SV37 = SY109 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[466]) ).
thf(502,plain,
! [SV38: set_b,SV17: b] :
( ( ! [SY110: b] :
( ~ ( member_b @ SV17 @ SV38 )
| ( member_b @ SV17 @ ( insert_b @ SY110 @ SV38 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[467]) ).
thf(503,plain,
! [SV39: set_b,SV18: b] :
( ( ~ ( member_b @ SV18 @ SV39 )
| ~ ! [SY111: set_b] :
( ( SV39
!= ( insert_b @ SV18 @ SY111 ) )
| ( member_b @ SV18 @ SY111 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[468]) ).
thf(504,plain,
! [SV40: b,SV19: set_b] :
( ( ( SV19 != bot_bot_set_b )
| ~ ( member_b @ SV40 @ SV19 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[469]) ).
thf(505,plain,
! [SV41: set_b,SV20: set_b] :
( ( ! [SY112: b] :
( ~ ( ord_less_eq_set_b @ SV20 @ SV41 )
| ~ ( member_b @ SY112 @ SV20 )
| ( member_b @ SY112 @ SV41 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[470]) ).
thf(506,plain,
! [SV21: set_b] :
( ( ( ~ ! [SY89: b] :
~ ( member_b @ SY89 @ SV21 ) )
= $true )
| ( ( SV21 = bot_bot_set_b )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[471]) ).
thf(507,plain,
! [SV42: set_b,SV22: b] :
( ( ~ ( member_b @ SV22 @ SV42 )
| ~ ! [SY113: set_b] :
~ ~ ( ( SV42
!= ( insert_b @ SV22 @ SY113 ) )
| ~ ~ ( member_b @ SV22 @ SY113 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[472]) ).
thf(508,plain,
! [SV43: b,SV23: b] :
( ( ! [SY114: set_b] :
( ~ ( member_b @ SV23 @ ( insert_b @ SV43 @ SY114 ) )
| ~ ( ( SV23 != SV43 ) )
| ( member_b @ SV23 @ SY114 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[473]) ).
thf(509,plain,
! [SV44: set_b,SV24: b] :
( ( ! [SY115: b,SY116: set_b] :
( ~ ~ ( member_b @ SV24 @ SV44 )
| ~ ~ ( member_b @ SY115 @ SY116 )
| ( ( ( insert_b @ SV24 @ SV44 )
= ( insert_b @ SY115 @ SY116 ) )
= ( ~ ( ~ ( ( SV24 != SY115 )
| ( SV44 = SY116 ) )
| ~ ( ~ ( ( SV24 != SY115 ) )
| ~ ! [SY117: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV44
!= ( insert_b @ SY115 @ SY117 ) )
| ~ ~ ( member_b @ SY115 @ SY117 ) )
| ( SY116
!= ( insert_b @ SV24 @ SY117 ) ) )
| ~ ~ ( member_b @ SV24 @ SY117 ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[474]) ).
thf(510,plain,
! [SV45: set_b,SV25: b] :
( ( ~ ( member_b @ SV25 @ SV45 )
| ( ( insert_b @ SV25 @ SV45 )
= SV45 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[475]) ).
thf(511,plain,
! [SV46: set_b] :
( ( ( ord_less_eq_set_b @ SV46 )
= ( ^ [SY118: set_b] :
! [SY119: b] :
( ~ ( member_b @ SY119 @ SV46 )
| ( member_b @ SY119 @ SY118 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[476]) ).
thf(512,plain,
! [SV27: b] :
( ( ( ~ ( member_b @ SV27 @ ( labele1424214014nt_a_b @ g ) ) )
= $true )
| ( ( member_b @ ( f @ SV27 ) @ ( labele1424214014nt_a_b @ g ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[478]) ).
thf(513,plain,
! [SV47: set_b,SV28: set_b] :
( ( ! [SY120: b] :
( ~ ( ord_less_eq_set_b @ SV28 @ SV47 )
| ~ ( member_b @ SY120 @ SV28 )
| ( member_b @ SY120 @ SV47 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[479]) ).
thf(514,plain,
! [SV48: set_b] :
( ( ( ord_less_eq_set_b @ SV48 )
= ( ^ [SY121: set_b] :
! [SY122: b] :
( ~ ( member_b @ SY122 @ SV48 )
| ( member_b @ SY122 @ SY121 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[480]) ).
thf(515,plain,
! [SV49: labele1159362096nt_a_b,SV30: labele1159362096nt_a_b] :
( ( ~ ~ ( ( ( labele1741081071nt_a_b @ SV30 )
!= ( labele1741081071nt_a_b @ SV49 ) )
| ( ( labele1424214014nt_a_b @ SV30 )
!= ( labele1424214014nt_a_b @ SV49 ) ) )
| ( SV30 = SV49 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[482]) ).
thf(516,plain,
! [SV1: b] :
( ( ( ~ ( ( member_b @ SV1 @ ( labele1424214014nt_a_b @ g ) )
| ( p @ SV1 @ SV1 ) ) )
= $true )
| ( ( ~ ( ~ ( member_b @ SV1 @ ( labele1424214014nt_a_b @ g ) )
| ~ ( p @ SV1 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[483]) ).
thf(517,plain,
! [SV32: b > $o,SV4: b] :
( ( ~ ( ( member_b @ SV4 @ ( collect_b @ SV32 ) )
| ( SV32 @ SV4 ) )
| ~ ( ~ ( member_b @ SV4 @ ( collect_b @ SV32 ) )
| ~ ( SV32 @ SV4 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[486]) ).
thf(518,plain,
! [SV32: b > $o,SV4: b] :
( ( ( member_b @ SV4 @ ( collect_b @ SV32 ) )
= ( SV32 @ SV4 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[486]) ).
thf(519,plain,
! [SV6: set_b] :
( ( ( ~ ( ! [SY71: b] :
~ ( member_b @ SY71 @ SV6 )
| ( SV6 = bot_bot_set_b ) ) )
= $true )
| ( ( ~ ( ~ ! [SY71: b] :
~ ( member_b @ SY71 @ SV6 )
| ( SV6 != bot_bot_set_b ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[487]) ).
thf(520,plain,
! [SV50: set_b,SV33: b,SV8: b] :
( ( ( member_b @ SV8 @ ( insert_b @ SV33 @ SV50 ) )
= ( ( SV8 = SV33 )
| ( member_b @ SV8 @ SV50 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[490]) ).
thf(521,plain,
! [SV11: $o] :
( ( ( ~ ( SV11
| $true )
| ~ ( ~ SV11
| ~ $true ) )
= $true )
| ( ( SV11 = $false )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[493]) ).
thf(522,plain,
! [SV11: $o] :
( ( ( SV11 = $true )
= $true )
| ( ( SV11 = $false )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[493]) ).
thf(523,plain,
( ( ( ~ ( $true
| $true )
| ~ ( ~ $true
| ~ $true ) )
= $true )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[494]) ).
thf(524,plain,
( ( ( $true = $true )
= $true )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[494]) ).
thf(525,plain,
( ( ( ~ ( $false
| $true )
| ~ ( ~ $false
| ~ $true ) )
= $true )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[495]) ).
thf(526,plain,
( ( ( $false = $true )
= $true )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[495]) ).
thf(527,plain,
! [SV35: set_b,SV12: set_b] :
( ( ( ~ ! [SY107: b] :
( ~ ( member_b @ SY107 @ SV12 )
| ( member_b @ SY107 @ SV35 ) ) )
= $true )
| ( ( ord_less_eq_set_b @ SV12 @ SV35 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[496]) ).
thf(528,plain,
! [SV51: b,SV36: set_b,SV13: b] :
( ( ~ ( ~ ~ ( member_b @ SV13 @ SV36 )
| ( SV13 = SV51 ) )
| ( member_b @ SV13 @ ( insert_b @ SV51 @ SV36 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[497]) ).
thf(529,plain,
! [SV14: set_b] :
( ( ( ~ ( ~ ! [SY79: b] :
~ ( member_b @ SY79 @ SV14 )
| ( SV14 != bot_bot_set_b ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SY79: b] :
~ ( member_b @ SY79 @ SV14 )
| ~ ( ( SV14 != bot_bot_set_b ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[498]) ).
thf(530,plain,
! [SV15: b] :
( ( ( member_b @ ( f @ SV15 ) @ ( labele1424214014nt_a_b @ g ) )
= $false )
| ( ( member_b @ SV15 @ ( labele1424214014nt_a_b @ g ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[500]) ).
thf(531,plain,
! [SV52: set_b,SV37: set_b,SV16: b] :
( ( ~ ~ ( member_b @ SV16 @ SV37 )
| ~ ~ ( member_b @ SV16 @ SV52 )
| ( ( ( insert_b @ SV16 @ SV37 )
= ( insert_b @ SV16 @ SV52 ) )
= ( SV37 = SV52 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[501]) ).
thf(532,plain,
! [SV53: b,SV38: set_b,SV17: b] :
( ( ~ ( member_b @ SV17 @ SV38 )
| ( member_b @ SV17 @ ( insert_b @ SV53 @ SV38 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[502]) ).
thf(533,plain,
! [SV39: set_b,SV18: b] :
( ( ( ~ ( member_b @ SV18 @ SV39 ) )
= $true )
| ( ( ~ ! [SY111: set_b] :
( ( SV39
!= ( insert_b @ SV18 @ SY111 ) )
| ( member_b @ SV18 @ SY111 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[503]) ).
thf(534,plain,
! [SV40: b,SV19: set_b] :
( ( ( SV19 != bot_bot_set_b )
= $true )
| ( ( ~ ( member_b @ SV40 @ SV19 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[504]) ).
thf(535,plain,
! [SV54: b,SV41: set_b,SV20: set_b] :
( ( ~ ( ord_less_eq_set_b @ SV20 @ SV41 )
| ~ ( member_b @ SV54 @ SV20 )
| ( member_b @ SV54 @ SV41 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[505]) ).
thf(536,plain,
! [SV21: set_b] :
( ( ( ! [SY89: b] :
~ ( member_b @ SY89 @ SV21 ) )
= $false )
| ( ( SV21 = bot_bot_set_b )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[506]) ).
thf(537,plain,
! [SV42: set_b,SV22: b] :
( ( ( ~ ( member_b @ SV22 @ SV42 ) )
= $true )
| ( ( ~ ! [SY113: set_b] :
~ ~ ( ( SV42
!= ( insert_b @ SV22 @ SY113 ) )
| ~ ~ ( member_b @ SV22 @ SY113 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[507]) ).
thf(538,plain,
! [SV55: set_b,SV43: b,SV23: b] :
( ( ~ ( member_b @ SV23 @ ( insert_b @ SV43 @ SV55 ) )
| ~ ( ( SV23 != SV43 ) )
| ( member_b @ SV23 @ SV55 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[508]) ).
thf(539,plain,
! [SV56: b,SV44: set_b,SV24: b] :
( ( ! [SY123: set_b] :
( ~ ~ ( member_b @ SV24 @ SV44 )
| ~ ~ ( member_b @ SV56 @ SY123 )
| ( ( ( insert_b @ SV24 @ SV44 )
= ( insert_b @ SV56 @ SY123 ) )
= ( ~ ( ~ ( ( SV24 != SV56 )
| ( SV44 = SY123 ) )
| ~ ( ~ ( ( SV24 != SV56 ) )
| ~ ! [SY124: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV44
!= ( insert_b @ SV56 @ SY124 ) )
| ~ ~ ( member_b @ SV56 @ SY124 ) )
| ( SY123
!= ( insert_b @ SV24 @ SY124 ) ) )
| ~ ~ ( member_b @ SV24 @ SY124 ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[509]) ).
thf(540,plain,
! [SV45: set_b,SV25: b] :
( ( ( ~ ( member_b @ SV25 @ SV45 ) )
= $true )
| ( ( ( insert_b @ SV25 @ SV45 )
= SV45 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[510]) ).
thf(541,plain,
! [SV46: set_b] :
( ( ! [SV57: set_b] :
( ( ord_less_eq_set_b @ SV46 @ SV57 )
= ( ! [SY125: b] :
( ~ ( member_b @ SY125 @ SV46 )
| ( member_b @ SY125 @ SV57 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[511]) ).
thf(542,plain,
! [SV46: set_b] :
( ( ( ord_less_eq_set_b @ SV46 )
= ( ^ [SY118: set_b] :
! [SY119: b] :
( ~ ( member_b @ SY119 @ SV46 )
| ( member_b @ SY119 @ SY118 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[511]) ).
thf(543,plain,
! [SV27: b] :
( ( ( member_b @ SV27 @ ( labele1424214014nt_a_b @ g ) )
= $false )
| ( ( member_b @ ( f @ SV27 ) @ ( labele1424214014nt_a_b @ g ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[512]) ).
thf(544,plain,
! [SV58: b,SV47: set_b,SV28: set_b] :
( ( ~ ( ord_less_eq_set_b @ SV28 @ SV47 )
| ~ ( member_b @ SV58 @ SV28 )
| ( member_b @ SV58 @ SV47 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[513]) ).
thf(545,plain,
! [SV48: set_b] :
( ( ! [SV59: set_b] :
( ( ord_less_eq_set_b @ SV48 @ SV59 )
= ( ! [SY126: b] :
( ~ ( member_b @ SY126 @ SV48 )
| ( member_b @ SY126 @ SV59 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[514]) ).
thf(546,plain,
! [SV48: set_b] :
( ( ( ord_less_eq_set_b @ SV48 )
= ( ^ [SY121: set_b] :
! [SY122: b] :
( ~ ( member_b @ SY122 @ SV48 )
| ( member_b @ SY122 @ SY121 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[514]) ).
thf(547,plain,
! [SV49: labele1159362096nt_a_b,SV30: labele1159362096nt_a_b] :
( ( ( ~ ~ ( ( ( labele1741081071nt_a_b @ SV30 )
!= ( labele1741081071nt_a_b @ SV49 ) )
| ( ( labele1424214014nt_a_b @ SV30 )
!= ( labele1424214014nt_a_b @ SV49 ) ) ) )
= $true )
| ( ( SV30 = SV49 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[515]) ).
thf(548,plain,
! [SV1: b] :
( ( ( ( member_b @ SV1 @ ( labele1424214014nt_a_b @ g ) )
| ( p @ SV1 @ SV1 ) )
= $false )
| ( ( ~ ( ~ ( member_b @ SV1 @ ( labele1424214014nt_a_b @ g ) )
| ~ ( p @ SV1 @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[516]) ).
thf(549,plain,
! [SV32: b > $o,SV4: b] :
( ( ( ~ ( ( member_b @ SV4 @ ( collect_b @ SV32 ) )
| ( SV32 @ SV4 ) ) )
= $true )
| ( ( ~ ( ~ ( member_b @ SV4 @ ( collect_b @ SV32 ) )
| ~ ( SV32 @ SV4 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[517]) ).
thf(550,plain,
! [SV6: set_b] :
( ( ( ! [SY71: b] :
~ ( member_b @ SY71 @ SV6 )
| ( SV6 = bot_bot_set_b ) )
= $false )
| ( ( ~ ( ~ ! [SY71: b] :
~ ( member_b @ SY71 @ SV6 )
| ( SV6 != bot_bot_set_b ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[519]) ).
thf(551,plain,
! [SV50: set_b,SV33: b,SV8: b] :
( ( ~ ( ( member_b @ SV8 @ ( insert_b @ SV33 @ SV50 ) )
| ( SV8 = SV33 )
| ( member_b @ SV8 @ SV50 ) )
| ~ ( ~ ( member_b @ SV8 @ ( insert_b @ SV33 @ SV50 ) )
| ~ ( ( SV8 = SV33 )
| ( member_b @ SV8 @ SV50 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[520]) ).
thf(552,plain,
! [SV50: set_b,SV33: b,SV8: b] :
( ( ( member_b @ SV8 @ ( insert_b @ SV33 @ SV50 ) )
= ( ( SV8 = SV33 )
| ( member_b @ SV8 @ SV50 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[520]) ).
thf(553,plain,
! [SV11: $o] :
( ( ( ~ ( SV11
| $true ) )
= $true )
| ( ( ~ ( ~ SV11
| ~ $true ) )
= $true )
| ( ( SV11 = $false )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[521]) ).
thf(554,plain,
! [SV11: $o] :
( ( ( ~ ( SV11
| $false )
| ~ ( ~ SV11
| ~ $false ) )
= $true )
| ( ( SV11 = $true )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[522]) ).
thf(555,plain,
! [SV11: $o] :
( ( ( SV11 = $false )
= $true )
| ( ( SV11 = $true )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[522]) ).
thf(556,plain,
( ( ( ~ ( $true
| $true ) )
= $true )
| ( ( ~ ( ~ $true
| ~ $true ) )
= $true )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[523]) ).
thf(557,plain,
( ( ( ~ ( $true
| $false )
| ~ ( ~ $true
| ~ $false ) )
= $true )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[524]) ).
thf(558,plain,
( ( ( $true = $false )
= $true )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[524]) ).
thf(559,plain,
( ( ( ~ ( $false
| $true ) )
= $true )
| ( ( ~ ( ~ $false
| ~ $true ) )
= $true )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[525]) ).
thf(560,plain,
( ( ( ~ ( $false
| $false )
| ~ ( ~ $false
| ~ $false ) )
= $true )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[526]) ).
thf(561,plain,
( ( ( $false = $false )
= $true )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[526]) ).
thf(562,plain,
! [SV35: set_b,SV12: set_b] :
( ( ( ! [SY107: b] :
( ~ ( member_b @ SY107 @ SV12 )
| ( member_b @ SY107 @ SV35 ) ) )
= $false )
| ( ( ord_less_eq_set_b @ SV12 @ SV35 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[527]) ).
thf(563,plain,
! [SV51: b,SV36: set_b,SV13: b] :
( ( ( ~ ( ~ ~ ( member_b @ SV13 @ SV36 )
| ( SV13 = SV51 ) ) )
= $true )
| ( ( member_b @ SV13 @ ( insert_b @ SV51 @ SV36 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[528]) ).
thf(564,plain,
! [SV14: set_b] :
( ( ( ~ ! [SY79: b] :
~ ( member_b @ SY79 @ SV14 )
| ( SV14 != bot_bot_set_b ) )
= $false )
| ( ( ~ ( ~ ~ ! [SY79: b] :
~ ( member_b @ SY79 @ SV14 )
| ~ ( ( SV14 != bot_bot_set_b ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[529]) ).
thf(565,plain,
! [SV52: set_b,SV37: set_b,SV16: b] :
( ( ( ~ ~ ( member_b @ SV16 @ SV37 ) )
= $true )
| ( ( ~ ~ ( member_b @ SV16 @ SV52 )
| ( ( ( insert_b @ SV16 @ SV37 )
= ( insert_b @ SV16 @ SV52 ) )
= ( SV37 = SV52 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[531]) ).
thf(566,plain,
! [SV53: b,SV38: set_b,SV17: b] :
( ( ( ~ ( member_b @ SV17 @ SV38 ) )
= $true )
| ( ( member_b @ SV17 @ ( insert_b @ SV53 @ SV38 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[532]) ).
thf(567,plain,
! [SV39: set_b,SV18: b] :
( ( ( member_b @ SV18 @ SV39 )
= $false )
| ( ( ~ ! [SY111: set_b] :
( ( SV39
!= ( insert_b @ SV18 @ SY111 ) )
| ( member_b @ SV18 @ SY111 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[533]) ).
thf(568,plain,
! [SV40: b,SV19: set_b] :
( ( ( SV19 = bot_bot_set_b )
= $false )
| ( ( ~ ( member_b @ SV40 @ SV19 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[534]) ).
thf(569,plain,
! [SV54: b,SV41: set_b,SV20: set_b] :
( ( ( ~ ( ord_less_eq_set_b @ SV20 @ SV41 ) )
= $true )
| ( ( ~ ( member_b @ SV54 @ SV20 )
| ( member_b @ SV54 @ SV41 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[535]) ).
thf(570,plain,
! [SV21: set_b] :
( ( ( ~ ( member_b @ ( sK1_SY89 @ SV21 ) @ SV21 ) )
= $false )
| ( ( SV21 = bot_bot_set_b )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[536]) ).
thf(571,plain,
! [SV42: set_b,SV22: b] :
( ( ( member_b @ SV22 @ SV42 )
= $false )
| ( ( ~ ! [SY113: set_b] :
~ ~ ( ( SV42
!= ( insert_b @ SV22 @ SY113 ) )
| ~ ~ ( member_b @ SV22 @ SY113 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[537]) ).
thf(572,plain,
! [SV55: set_b,SV43: b,SV23: b] :
( ( ( ~ ( member_b @ SV23 @ ( insert_b @ SV43 @ SV55 ) ) )
= $true )
| ( ( ~ ( ( SV23 != SV43 ) )
| ( member_b @ SV23 @ SV55 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[538]) ).
thf(573,plain,
! [SV60: set_b,SV56: b,SV44: set_b,SV24: b] :
( ( ~ ~ ( member_b @ SV24 @ SV44 )
| ~ ~ ( member_b @ SV56 @ SV60 )
| ( ( ( insert_b @ SV24 @ SV44 )
= ( insert_b @ SV56 @ SV60 ) )
= ( ~ ( ~ ( ( SV24 != SV56 )
| ( SV44 = SV60 ) )
| ~ ( ~ ( ( SV24 != SV56 ) )
| ~ ! [SY127: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV44
!= ( insert_b @ SV56 @ SY127 ) )
| ~ ~ ( member_b @ SV56 @ SY127 ) )
| ( SV60
!= ( insert_b @ SV24 @ SY127 ) ) )
| ~ ~ ( member_b @ SV24 @ SY127 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[539]) ).
thf(574,plain,
! [SV45: set_b,SV25: b] :
( ( ( member_b @ SV25 @ SV45 )
= $false )
| ( ( ( insert_b @ SV25 @ SV45 )
= SV45 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[540]) ).
thf(575,plain,
! [SV61: set_b,SV46: set_b] :
( ( ( ord_less_eq_set_b @ SV46 @ SV61 )
= ( ! [SY128: b] :
( ~ ( member_b @ SY128 @ SV46 )
| ( member_b @ SY128 @ SV61 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[541]) ).
thf(576,plain,
! [SV58: b,SV47: set_b,SV28: set_b] :
( ( ( ~ ( ord_less_eq_set_b @ SV28 @ SV47 ) )
= $true )
| ( ( ~ ( member_b @ SV58 @ SV28 )
| ( member_b @ SV58 @ SV47 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[544]) ).
thf(577,plain,
! [SV62: set_b,SV48: set_b] :
( ( ( ord_less_eq_set_b @ SV48 @ SV62 )
= ( ! [SY129: b] :
( ~ ( member_b @ SY129 @ SV48 )
| ( member_b @ SY129 @ SV62 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[545]) ).
thf(578,plain,
! [SV49: labele1159362096nt_a_b,SV30: labele1159362096nt_a_b] :
( ( ( ~ ( ( ( labele1741081071nt_a_b @ SV30 )
!= ( labele1741081071nt_a_b @ SV49 ) )
| ( ( labele1424214014nt_a_b @ SV30 )
!= ( labele1424214014nt_a_b @ SV49 ) ) ) )
= $false )
| ( ( SV30 = SV49 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[547]) ).
thf(579,plain,
! [SV1: b] :
( ( ( member_b @ SV1 @ ( labele1424214014nt_a_b @ g ) )
= $false )
| ( ( ~ ( ~ ( member_b @ SV1 @ ( labele1424214014nt_a_b @ g ) )
| ~ ( p @ SV1 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[548]) ).
thf(580,plain,
! [SV1: b] :
( ( ( p @ SV1 @ SV1 )
= $false )
| ( ( ~ ( ~ ( member_b @ SV1 @ ( labele1424214014nt_a_b @ g ) )
| ~ ( p @ SV1 @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[548]) ).
thf(581,plain,
! [SV32: b > $o,SV4: b] :
( ( ( ( member_b @ SV4 @ ( collect_b @ SV32 ) )
| ( SV32 @ SV4 ) )
= $false )
| ( ( ~ ( ~ ( member_b @ SV4 @ ( collect_b @ SV32 ) )
| ~ ( SV32 @ SV4 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[549]) ).
thf(582,plain,
! [SV6: set_b] :
( ( ( ! [SY71: b] :
~ ( member_b @ SY71 @ SV6 ) )
= $false )
| ( ( ~ ( ~ ! [SY71: b] :
~ ( member_b @ SY71 @ SV6 )
| ( SV6 != bot_bot_set_b ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[550]) ).
thf(583,plain,
! [SV6: set_b] :
( ( ( SV6 = bot_bot_set_b )
= $false )
| ( ( ~ ( ~ ! [SY71: b] :
~ ( member_b @ SY71 @ SV6 )
| ( SV6 != bot_bot_set_b ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[550]) ).
thf(584,plain,
! [SV50: set_b,SV33: b,SV8: b] :
( ( ( ~ ( ( member_b @ SV8 @ ( insert_b @ SV33 @ SV50 ) )
| ( SV8 = SV33 )
| ( member_b @ SV8 @ SV50 ) ) )
= $true )
| ( ( ~ ( ~ ( member_b @ SV8 @ ( insert_b @ SV33 @ SV50 ) )
| ~ ( ( SV8 = SV33 )
| ( member_b @ SV8 @ SV50 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[551]) ).
thf(585,plain,
! [SV11: $o] :
( ( ( SV11
| $true )
= $false )
| ( ( ~ ( ~ SV11
| ~ $true ) )
= $true )
| ( ( SV11 = $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[553]) ).
thf(586,plain,
! [SV11: $o] :
( ( ( ~ ( SV11
| $false ) )
= $true )
| ( ( ~ ( ~ SV11
| ~ $false ) )
= $true )
| ( ( SV11 = $true )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[554]) ).
thf(587,plain,
( ( ( $true
| $true )
= $false )
| ( ( ~ ( ~ $true
| ~ $true ) )
= $true )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[556]) ).
thf(588,plain,
( ( ( ~ ( $true
| $false ) )
= $true )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[557]) ).
thf(589,plain,
( ( ( $false
| $true )
= $false )
| ( ( ~ ( ~ $false
| ~ $true ) )
= $true )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[559]) ).
thf(590,plain,
( ( ( ~ ( $false
| $false ) )
= $true )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[560]) ).
thf(591,plain,
! [SV12: set_b,SV35: set_b] :
( ( ( ~ ( member_b @ ( sK2_SY107 @ SV35 @ SV12 ) @ SV12 )
| ( member_b @ ( sK2_SY107 @ SV35 @ SV12 ) @ SV35 ) )
= $false )
| ( ( ord_less_eq_set_b @ SV12 @ SV35 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[562]) ).
thf(592,plain,
! [SV51: b,SV36: set_b,SV13: b] :
( ( ( ~ ~ ( member_b @ SV13 @ SV36 )
| ( SV13 = SV51 ) )
= $false )
| ( ( member_b @ SV13 @ ( insert_b @ SV51 @ SV36 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[563]) ).
thf(593,plain,
! [SV14: set_b] :
( ( ( ~ ! [SY79: b] :
~ ( member_b @ SY79 @ SV14 ) )
= $false )
| ( ( ~ ( ~ ~ ! [SY79: b] :
~ ( member_b @ SY79 @ SV14 )
| ~ ( ( SV14 != bot_bot_set_b ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[564]) ).
thf(594,plain,
! [SV14: set_b] :
( ( ( SV14 != bot_bot_set_b )
= $false )
| ( ( ~ ( ~ ~ ! [SY79: b] :
~ ( member_b @ SY79 @ SV14 )
| ~ ( ( SV14 != bot_bot_set_b ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[564]) ).
thf(595,plain,
! [SV52: set_b,SV37: set_b,SV16: b] :
( ( ( ~ ( member_b @ SV16 @ SV37 ) )
= $false )
| ( ( ~ ~ ( member_b @ SV16 @ SV52 )
| ( ( ( insert_b @ SV16 @ SV37 )
= ( insert_b @ SV16 @ SV52 ) )
= ( SV37 = SV52 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[565]) ).
thf(596,plain,
! [SV53: b,SV38: set_b,SV17: b] :
( ( ( member_b @ SV17 @ SV38 )
= $false )
| ( ( member_b @ SV17 @ ( insert_b @ SV53 @ SV38 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[566]) ).
thf(597,plain,
! [SV18: b,SV39: set_b] :
( ( ( ! [SY111: set_b] :
( ( SV39
!= ( insert_b @ SV18 @ SY111 ) )
| ( member_b @ SV18 @ SY111 ) ) )
= $false )
| ( ( member_b @ SV18 @ SV39 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[567]) ).
thf(598,plain,
! [SV19: set_b,SV40: b] :
( ( ( member_b @ SV40 @ SV19 )
= $false )
| ( ( SV19 = bot_bot_set_b )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[568]) ).
thf(599,plain,
! [SV54: b,SV41: set_b,SV20: set_b] :
( ( ( ord_less_eq_set_b @ SV20 @ SV41 )
= $false )
| ( ( ~ ( member_b @ SV54 @ SV20 )
| ( member_b @ SV54 @ SV41 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[569]) ).
thf(600,plain,
! [SV21: set_b] :
( ( ( member_b @ ( sK1_SY89 @ SV21 ) @ SV21 )
= $true )
| ( ( SV21 = bot_bot_set_b )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[570]) ).
thf(601,plain,
! [SV22: b,SV42: set_b] :
( ( ( ! [SY113: set_b] :
~ ~ ( ( SV42
!= ( insert_b @ SV22 @ SY113 ) )
| ~ ~ ( member_b @ SV22 @ SY113 ) ) )
= $false )
| ( ( member_b @ SV22 @ SV42 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[571]) ).
thf(602,plain,
! [SV55: set_b,SV43: b,SV23: b] :
( ( ( member_b @ SV23 @ ( insert_b @ SV43 @ SV55 ) )
= $false )
| ( ( ~ ( ( SV23 != SV43 ) )
| ( member_b @ SV23 @ SV55 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[572]) ).
thf(603,plain,
! [SV60: set_b,SV56: b,SV44: set_b,SV24: b] :
( ( ( ~ ~ ( member_b @ SV24 @ SV44 ) )
= $true )
| ( ( ~ ~ ( member_b @ SV56 @ SV60 )
| ( ( ( insert_b @ SV24 @ SV44 )
= ( insert_b @ SV56 @ SV60 ) )
= ( ~ ( ~ ( ( SV24 != SV56 )
| ( SV44 = SV60 ) )
| ~ ( ~ ( ( SV24 != SV56 ) )
| ~ ! [SY127: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV44
!= ( insert_b @ SV56 @ SY127 ) )
| ~ ~ ( member_b @ SV56 @ SY127 ) )
| ( SV60
!= ( insert_b @ SV24 @ SY127 ) ) )
| ~ ~ ( member_b @ SV24 @ SY127 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[573]) ).
thf(604,plain,
! [SV61: set_b,SV46: set_b] :
( ( ~ ( ( ord_less_eq_set_b @ SV46 @ SV61 )
| ! [SY128: b] :
( ~ ( member_b @ SY128 @ SV46 )
| ( member_b @ SY128 @ SV61 ) ) )
| ~ ( ~ ( ord_less_eq_set_b @ SV46 @ SV61 )
| ~ ! [SY128: b] :
( ~ ( member_b @ SY128 @ SV46 )
| ( member_b @ SY128 @ SV61 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[575]) ).
thf(605,plain,
! [SV61: set_b,SV46: set_b] :
( ( ( ord_less_eq_set_b @ SV46 @ SV61 )
= ( ! [SY128: b] :
( ~ ( member_b @ SY128 @ SV46 )
| ( member_b @ SY128 @ SV61 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[575]) ).
thf(606,plain,
! [SV58: b,SV47: set_b,SV28: set_b] :
( ( ( ord_less_eq_set_b @ SV28 @ SV47 )
= $false )
| ( ( ~ ( member_b @ SV58 @ SV28 )
| ( member_b @ SV58 @ SV47 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[576]) ).
thf(607,plain,
! [SV62: set_b,SV48: set_b] :
( ( ~ ( ( ord_less_eq_set_b @ SV48 @ SV62 )
| ! [SY129: b] :
( ~ ( member_b @ SY129 @ SV48 )
| ( member_b @ SY129 @ SV62 ) ) )
| ~ ( ~ ( ord_less_eq_set_b @ SV48 @ SV62 )
| ~ ! [SY129: b] :
( ~ ( member_b @ SY129 @ SV48 )
| ( member_b @ SY129 @ SV62 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[577]) ).
thf(608,plain,
! [SV62: set_b,SV48: set_b] :
( ( ( ord_less_eq_set_b @ SV48 @ SV62 )
= ( ! [SY129: b] :
( ~ ( member_b @ SY129 @ SV48 )
| ( member_b @ SY129 @ SV62 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[577]) ).
thf(609,plain,
! [SV49: labele1159362096nt_a_b,SV30: labele1159362096nt_a_b] :
( ( ( ( ( labele1741081071nt_a_b @ SV30 )
!= ( labele1741081071nt_a_b @ SV49 ) )
| ( ( labele1424214014nt_a_b @ SV30 )
!= ( labele1424214014nt_a_b @ SV49 ) ) )
= $true )
| ( ( SV30 = SV49 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[578]) ).
thf(610,plain,
! [SV1: b] :
( ( ( ~ ( member_b @ SV1 @ ( labele1424214014nt_a_b @ g ) )
| ~ ( p @ SV1 @ SV1 ) )
= $false )
| ( ( member_b @ SV1 @ ( labele1424214014nt_a_b @ g ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[579]) ).
thf(611,plain,
! [SV1: b] :
( ( ( ~ ( member_b @ SV1 @ ( labele1424214014nt_a_b @ g ) )
| ~ ( p @ SV1 @ SV1 ) )
= $false )
| ( ( p @ SV1 @ SV1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[580]) ).
thf(612,plain,
! [SV32: b > $o,SV4: b] :
( ( ( member_b @ SV4 @ ( collect_b @ SV32 ) )
= $false )
| ( ( ~ ( ~ ( member_b @ SV4 @ ( collect_b @ SV32 ) )
| ~ ( SV32 @ SV4 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[581]) ).
thf(613,plain,
! [SV4: b,SV32: b > $o] :
( ( ( SV32 @ SV4 )
= $false )
| ( ( ~ ( ~ ( member_b @ SV4 @ ( collect_b @ SV32 ) )
| ~ ( SV32 @ SV4 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[581]) ).
thf(614,plain,
! [SV6: set_b] :
( ( ( ~ ( member_b @ ( sK3_SY71 @ SV6 ) @ SV6 ) )
= $false )
| ( ( ~ ( ~ ! [SY71: b] :
~ ( member_b @ SY71 @ SV6 )
| ( SV6 != bot_bot_set_b ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[582]) ).
thf(615,plain,
! [SV6: set_b] :
( ( ( ~ ! [SY71: b] :
~ ( member_b @ SY71 @ SV6 )
| ( SV6 != bot_bot_set_b ) )
= $false )
| ( ( SV6 = bot_bot_set_b )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[583]) ).
thf(616,plain,
! [SV50: set_b,SV33: b,SV8: b] :
( ( ( ( member_b @ SV8 @ ( insert_b @ SV33 @ SV50 ) )
| ( SV8 = SV33 )
| ( member_b @ SV8 @ SV50 ) )
= $false )
| ( ( ~ ( ~ ( member_b @ SV8 @ ( insert_b @ SV33 @ SV50 ) )
| ~ ( ( SV8 = SV33 )
| ( member_b @ SV8 @ SV50 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[584]) ).
thf(617,plain,
! [SV11: $o] :
( ( SV11 = $false )
| ( ( ~ ( ~ SV11
| ~ $true ) )
= $true )
| ( ( SV11 = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[585]) ).
thf(618,plain,
! [SV11: $o] :
( ( $true = $false )
| ( ( ~ ( ~ SV11
| ~ $true ) )
= $true )
| ( ( SV11 = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[585]) ).
thf(619,plain,
! [SV11: $o] :
( ( ( SV11
| $false )
= $false )
| ( ( ~ ( ~ SV11
| ~ $false ) )
= $true )
| ( ( SV11 = $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[586]) ).
thf(620,plain,
( ( $true = $false )
| ( ( ~ ( ~ $true
| ~ $true ) )
= $true )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[587]) ).
thf(621,plain,
( ( $true = $false )
| ( ( ~ ( ~ $true
| ~ $true ) )
= $true )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[587]) ).
thf(622,plain,
( ( ( $true
| $false )
= $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[588]) ).
thf(623,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $true ) )
= $true )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[589]) ).
thf(624,plain,
( ( $true = $false )
| ( ( ~ ( ~ $false
| ~ $true ) )
= $true )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[589]) ).
thf(625,plain,
( ( ( $false
| $false )
= $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[590]) ).
thf(626,plain,
! [SV12: set_b,SV35: set_b] :
( ( ( ~ ( member_b @ ( sK2_SY107 @ SV35 @ SV12 ) @ SV12 ) )
= $false )
| ( ( ord_less_eq_set_b @ SV12 @ SV35 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[591]) ).
thf(627,plain,
! [SV12: set_b,SV35: set_b] :
( ( ( member_b @ ( sK2_SY107 @ SV35 @ SV12 ) @ SV35 )
= $false )
| ( ( ord_less_eq_set_b @ SV12 @ SV35 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[591]) ).
thf(628,plain,
! [SV51: b,SV36: set_b,SV13: b] :
( ( ( ~ ~ ( member_b @ SV13 @ SV36 ) )
= $false )
| ( ( member_b @ SV13 @ ( insert_b @ SV51 @ SV36 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[592]) ).
thf(629,plain,
! [SV36: set_b,SV51: b,SV13: b] :
( ( ( SV13 = SV51 )
= $false )
| ( ( member_b @ SV13 @ ( insert_b @ SV51 @ SV36 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[592]) ).
thf(630,plain,
! [SV14: set_b] :
( ( ( ! [SY79: b] :
~ ( member_b @ SY79 @ SV14 ) )
= $true )
| ( ( ~ ( ~ ~ ! [SY79: b] :
~ ( member_b @ SY79 @ SV14 )
| ~ ( ( SV14 != bot_bot_set_b ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[593]) ).
thf(631,plain,
! [SV14: set_b] :
( ( ( SV14 = bot_bot_set_b )
= $true )
| ( ( ~ ( ~ ~ ! [SY79: b] :
~ ( member_b @ SY79 @ SV14 )
| ~ ( ( SV14 != bot_bot_set_b ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[594]) ).
thf(632,plain,
! [SV52: set_b,SV37: set_b,SV16: b] :
( ( ( member_b @ SV16 @ SV37 )
= $true )
| ( ( ~ ~ ( member_b @ SV16 @ SV52 )
| ( ( ( insert_b @ SV16 @ SV37 )
= ( insert_b @ SV16 @ SV52 ) )
= ( SV37 = SV52 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[595]) ).
thf(633,plain,
! [SV18: b,SV39: set_b] :
( ( ( ( SV39
!= ( insert_b @ SV18 @ ( sK4_SY111 @ SV18 @ SV39 ) ) )
| ( member_b @ SV18 @ ( sK4_SY111 @ SV18 @ SV39 ) ) )
= $false )
| ( ( member_b @ SV18 @ SV39 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[597]) ).
thf(634,plain,
! [SV41: set_b,SV20: set_b,SV54: b] :
( ( ( ~ ( member_b @ SV54 @ SV20 ) )
= $true )
| ( ( member_b @ SV54 @ SV41 )
= $true )
| ( ( ord_less_eq_set_b @ SV20 @ SV41 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[599]) ).
thf(635,plain,
! [SV22: b,SV42: set_b] :
( ( ( ~ ~ ( ( SV42
!= ( insert_b @ SV22 @ ( sK5_SY113 @ SV22 @ SV42 ) ) )
| ~ ~ ( member_b @ SV22 @ ( sK5_SY113 @ SV22 @ SV42 ) ) ) )
= $false )
| ( ( member_b @ SV22 @ SV42 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[601]) ).
thf(636,plain,
! [SV55: set_b,SV43: b,SV23: b] :
( ( ( ~ ( ( SV23 != SV43 ) ) )
= $true )
| ( ( member_b @ SV23 @ SV55 )
= $true )
| ( ( member_b @ SV23 @ ( insert_b @ SV43 @ SV55 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[602]) ).
thf(637,plain,
! [SV60: set_b,SV56: b,SV44: set_b,SV24: b] :
( ( ( ~ ( member_b @ SV24 @ SV44 ) )
= $false )
| ( ( ~ ~ ( member_b @ SV56 @ SV60 )
| ( ( ( insert_b @ SV24 @ SV44 )
= ( insert_b @ SV56 @ SV60 ) )
= ( ~ ( ~ ( ( SV24 != SV56 )
| ( SV44 = SV60 ) )
| ~ ( ~ ( ( SV24 != SV56 ) )
| ~ ! [SY127: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV44
!= ( insert_b @ SV56 @ SY127 ) )
| ~ ~ ( member_b @ SV56 @ SY127 ) )
| ( SV60
!= ( insert_b @ SV24 @ SY127 ) ) )
| ~ ~ ( member_b @ SV24 @ SY127 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[603]) ).
thf(638,plain,
! [SV61: set_b,SV46: set_b] :
( ( ( ~ ( ( ord_less_eq_set_b @ SV46 @ SV61 )
| ! [SY128: b] :
( ~ ( member_b @ SY128 @ SV46 )
| ( member_b @ SY128 @ SV61 ) ) ) )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_set_b @ SV46 @ SV61 )
| ~ ! [SY128: b] :
( ~ ( member_b @ SY128 @ SV46 )
| ( member_b @ SY128 @ SV61 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[604]) ).
thf(639,plain,
! [SV47: set_b,SV28: set_b,SV58: b] :
( ( ( ~ ( member_b @ SV58 @ SV28 ) )
= $true )
| ( ( member_b @ SV58 @ SV47 )
= $true )
| ( ( ord_less_eq_set_b @ SV28 @ SV47 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[606]) ).
thf(640,plain,
! [SV62: set_b,SV48: set_b] :
( ( ( ~ ( ( ord_less_eq_set_b @ SV48 @ SV62 )
| ! [SY129: b] :
( ~ ( member_b @ SY129 @ SV48 )
| ( member_b @ SY129 @ SV62 ) ) ) )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_set_b @ SV48 @ SV62 )
| ~ ! [SY129: b] :
( ~ ( member_b @ SY129 @ SV48 )
| ( member_b @ SY129 @ SV62 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[607]) ).
thf(641,plain,
! [SV49: labele1159362096nt_a_b,SV30: labele1159362096nt_a_b] :
( ( ( ( labele1741081071nt_a_b @ SV30 )
!= ( labele1741081071nt_a_b @ SV49 ) )
= $true )
| ( ( ( labele1424214014nt_a_b @ SV30 )
!= ( labele1424214014nt_a_b @ SV49 ) )
= $true )
| ( ( SV30 = SV49 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[609]) ).
thf(642,plain,
! [SV1: b] :
( ( ( ~ ( member_b @ SV1 @ ( labele1424214014nt_a_b @ g ) ) )
= $false )
| ( ( member_b @ SV1 @ ( labele1424214014nt_a_b @ g ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[610]) ).
thf(643,plain,
! [SV1: b] :
( ( ( ~ ( p @ SV1 @ SV1 ) )
= $false )
| ( ( member_b @ SV1 @ ( labele1424214014nt_a_b @ g ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[610]) ).
thf(644,plain,
! [SV1: b] :
( ( ( ~ ( member_b @ SV1 @ ( labele1424214014nt_a_b @ g ) ) )
= $false )
| ( ( p @ SV1 @ SV1 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[611]) ).
thf(645,plain,
! [SV1: b] :
( ( ( ~ ( p @ SV1 @ SV1 ) )
= $false )
| ( ( p @ SV1 @ SV1 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[611]) ).
thf(646,plain,
! [SV32: b > $o,SV4: b] :
( ( ( ~ ( member_b @ SV4 @ ( collect_b @ SV32 ) )
| ~ ( SV32 @ SV4 ) )
= $false )
| ( ( member_b @ SV4 @ ( collect_b @ SV32 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[612]) ).
thf(647,plain,
! [SV32: b > $o,SV4: b] :
( ( ( ~ ( member_b @ SV4 @ ( collect_b @ SV32 ) )
| ~ ( SV32 @ SV4 ) )
= $false )
| ( ( SV32 @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[613]) ).
thf(648,plain,
! [SV6: set_b] :
( ( ( member_b @ ( sK3_SY71 @ SV6 ) @ SV6 )
= $true )
| ( ( ~ ( ~ ! [SY71: b] :
~ ( member_b @ SY71 @ SV6 )
| ( SV6 != bot_bot_set_b ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[614]) ).
thf(649,plain,
! [SV6: set_b] :
( ( ( ~ ! [SY71: b] :
~ ( member_b @ SY71 @ SV6 ) )
= $false )
| ( ( SV6 = bot_bot_set_b )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[615]) ).
thf(650,plain,
! [SV6: set_b] :
( ( ( SV6 != bot_bot_set_b )
= $false )
| ( ( SV6 = bot_bot_set_b )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[615]) ).
thf(651,plain,
! [SV50: set_b,SV33: b,SV8: b] :
( ( ( member_b @ SV8 @ ( insert_b @ SV33 @ SV50 ) )
= $false )
| ( ( ~ ( ~ ( member_b @ SV8 @ ( insert_b @ SV33 @ SV50 ) )
| ~ ( ( SV8 = SV33 )
| ( member_b @ SV8 @ SV50 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[616]) ).
thf(652,plain,
! [SV50: set_b,SV33: b,SV8: b] :
( ( ( ( SV8 = SV33 )
| ( member_b @ SV8 @ SV50 ) )
= $false )
| ( ( ~ ( ~ ( member_b @ SV8 @ ( insert_b @ SV33 @ SV50 ) )
| ~ ( ( SV8 = SV33 )
| ( member_b @ SV8 @ SV50 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[616]) ).
thf(653,plain,
! [SV11: $o] :
( ( ( ~ SV11
| ~ $true )
= $false )
| ( SV11 = $false )
| ( ( SV11 = $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[617]) ).
thf(654,plain,
! [SV11: $o] :
( ( ( ~ SV11
| ~ $true )
= $false )
| ( $true = $false )
| ( ( SV11 = $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[618]) ).
thf(655,plain,
! [SV11: $o] :
( ( SV11 = $false )
| ( ( ~ ( ~ SV11
| ~ $false ) )
= $true )
| ( ( SV11 = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[619]) ).
thf(656,plain,
! [SV11: $o] :
( ( $false = $false )
| ( ( ~ ( ~ SV11
| ~ $false ) )
= $true )
| ( ( SV11 = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[619]) ).
thf(657,plain,
( ( ( ~ $true
| ~ $true )
= $false )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[620]) ).
thf(658,plain,
( ( ( ~ $true
| ~ $true )
= $false )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[621]) ).
thf(659,plain,
( ( $true = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[622]) ).
thf(660,plain,
( ( $false = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[622]) ).
thf(661,plain,
( ( ( ~ $false
| ~ $true )
= $false )
| ( $false = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[623]) ).
thf(662,plain,
( ( ( ~ $false
| ~ $true )
= $false )
| ( $true = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[624]) ).
thf(663,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[625]) ).
thf(664,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[625]) ).
thf(665,plain,
! [SV12: set_b,SV35: set_b] :
( ( ( member_b @ ( sK2_SY107 @ SV35 @ SV12 ) @ SV12 )
= $true )
| ( ( ord_less_eq_set_b @ SV12 @ SV35 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[626]) ).
thf(666,plain,
! [SV51: b,SV36: set_b,SV13: b] :
( ( ( ~ ( member_b @ SV13 @ SV36 ) )
= $true )
| ( ( member_b @ SV13 @ ( insert_b @ SV51 @ SV36 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[628]) ).
thf(667,plain,
! [SV14: set_b,SV63: b] :
( ( ( ~ ( member_b @ SV63 @ SV14 ) )
= $true )
| ( ( ~ ( ~ ~ ! [SY79: b] :
~ ( member_b @ SY79 @ SV14 )
| ~ ( ( SV14 != bot_bot_set_b ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[630]) ).
thf(668,plain,
! [SV14: set_b] :
( ( ( ~ ~ ! [SY79: b] :
~ ( member_b @ SY79 @ SV14 )
| ~ ( ( SV14 != bot_bot_set_b ) ) )
= $false )
| ( ( SV14 = bot_bot_set_b )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[631]) ).
thf(669,plain,
! [SV37: set_b,SV52: set_b,SV16: b] :
( ( ( ~ ~ ( member_b @ SV16 @ SV52 ) )
= $true )
| ( ( ( ( insert_b @ SV16 @ SV37 )
= ( insert_b @ SV16 @ SV52 ) )
= ( SV37 = SV52 ) )
= $true )
| ( ( member_b @ SV16 @ SV37 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[632]) ).
thf(670,plain,
! [SV18: b,SV39: set_b] :
( ( ( SV39
!= ( insert_b @ SV18 @ ( sK4_SY111 @ SV18 @ SV39 ) ) )
= $false )
| ( ( member_b @ SV18 @ SV39 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[633]) ).
thf(671,plain,
! [SV39: set_b,SV18: b] :
( ( ( member_b @ SV18 @ ( sK4_SY111 @ SV18 @ SV39 ) )
= $false )
| ( ( member_b @ SV18 @ SV39 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[633]) ).
thf(672,plain,
! [SV41: set_b,SV20: set_b,SV54: b] :
( ( ( member_b @ SV54 @ SV20 )
= $false )
| ( ( member_b @ SV54 @ SV41 )
= $true )
| ( ( ord_less_eq_set_b @ SV20 @ SV41 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[634]) ).
thf(673,plain,
! [SV22: b,SV42: set_b] :
( ( ( ~ ( ( SV42
!= ( insert_b @ SV22 @ ( sK5_SY113 @ SV22 @ SV42 ) ) )
| ~ ~ ( member_b @ SV22 @ ( sK5_SY113 @ SV22 @ SV42 ) ) ) )
= $true )
| ( ( member_b @ SV22 @ SV42 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[635]) ).
thf(674,plain,
! [SV55: set_b,SV43: b,SV23: b] :
( ( ( SV23 != SV43 )
= $false )
| ( ( member_b @ SV23 @ SV55 )
= $true )
| ( ( member_b @ SV23 @ ( insert_b @ SV43 @ SV55 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[636]) ).
thf(675,plain,
! [SV60: set_b,SV56: b,SV44: set_b,SV24: b] :
( ( ( member_b @ SV24 @ SV44 )
= $true )
| ( ( ~ ~ ( member_b @ SV56 @ SV60 )
| ( ( ( insert_b @ SV24 @ SV44 )
= ( insert_b @ SV56 @ SV60 ) )
= ( ~ ( ~ ( ( SV24 != SV56 )
| ( SV44 = SV60 ) )
| ~ ( ~ ( ( SV24 != SV56 ) )
| ~ ! [SY127: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV44
!= ( insert_b @ SV56 @ SY127 ) )
| ~ ~ ( member_b @ SV56 @ SY127 ) )
| ( SV60
!= ( insert_b @ SV24 @ SY127 ) ) )
| ~ ~ ( member_b @ SV24 @ SY127 ) ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[637]) ).
thf(676,plain,
! [SV61: set_b,SV46: set_b] :
( ( ( ( ord_less_eq_set_b @ SV46 @ SV61 )
| ! [SY128: b] :
( ~ ( member_b @ SY128 @ SV46 )
| ( member_b @ SY128 @ SV61 ) ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_b @ SV46 @ SV61 )
| ~ ! [SY128: b] :
( ~ ( member_b @ SY128 @ SV46 )
| ( member_b @ SY128 @ SV61 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[638]) ).
thf(677,plain,
! [SV47: set_b,SV28: set_b,SV58: b] :
( ( ( member_b @ SV58 @ SV28 )
= $false )
| ( ( member_b @ SV58 @ SV47 )
= $true )
| ( ( ord_less_eq_set_b @ SV28 @ SV47 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[639]) ).
thf(678,plain,
! [SV62: set_b,SV48: set_b] :
( ( ( ( ord_less_eq_set_b @ SV48 @ SV62 )
| ! [SY129: b] :
( ~ ( member_b @ SY129 @ SV48 )
| ( member_b @ SY129 @ SV62 ) ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_b @ SV48 @ SV62 )
| ~ ! [SY129: b] :
( ~ ( member_b @ SY129 @ SV48 )
| ( member_b @ SY129 @ SV62 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[640]) ).
thf(679,plain,
! [SV49: labele1159362096nt_a_b,SV30: labele1159362096nt_a_b] :
( ( ( ( labele1741081071nt_a_b @ SV30 )
= ( labele1741081071nt_a_b @ SV49 ) )
= $false )
| ( ( ( labele1424214014nt_a_b @ SV30 )
!= ( labele1424214014nt_a_b @ SV49 ) )
= $true )
| ( ( SV30 = SV49 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[641]) ).
thf(680,plain,
! [SV1: b] :
( ( ( member_b @ SV1 @ ( labele1424214014nt_a_b @ g ) )
= $true )
| ( ( member_b @ SV1 @ ( labele1424214014nt_a_b @ g ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[642]) ).
thf(681,plain,
! [SV1: b] :
( ( ( p @ SV1 @ SV1 )
= $true )
| ( ( member_b @ SV1 @ ( labele1424214014nt_a_b @ g ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[643]) ).
thf(682,plain,
! [SV1: b] :
( ( ( member_b @ SV1 @ ( labele1424214014nt_a_b @ g ) )
= $true )
| ( ( p @ SV1 @ SV1 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[644]) ).
thf(683,plain,
! [SV1: b] :
( ( ( p @ SV1 @ SV1 )
= $true )
| ( ( p @ SV1 @ SV1 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[645]) ).
thf(684,plain,
! [SV32: b > $o,SV4: b] :
( ( ( ~ ( member_b @ SV4 @ ( collect_b @ SV32 ) ) )
= $false )
| ( ( member_b @ SV4 @ ( collect_b @ SV32 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[646]) ).
thf(685,plain,
! [SV4: b,SV32: b > $o] :
( ( ( ~ ( SV32 @ SV4 ) )
= $false )
| ( ( member_b @ SV4 @ ( collect_b @ SV32 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[646]) ).
thf(686,plain,
! [SV32: b > $o,SV4: b] :
( ( ( ~ ( member_b @ SV4 @ ( collect_b @ SV32 ) ) )
= $false )
| ( ( SV32 @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[647]) ).
thf(687,plain,
! [SV4: b,SV32: b > $o] :
( ( ( ~ ( SV32 @ SV4 ) )
= $false )
| ( ( SV32 @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[647]) ).
thf(688,plain,
! [SV6: set_b] :
( ( ( ~ ! [SY71: b] :
~ ( member_b @ SY71 @ SV6 )
| ( SV6 != bot_bot_set_b ) )
= $false )
| ( ( member_b @ ( sK3_SY71 @ SV6 ) @ SV6 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[648]) ).
thf(689,plain,
! [SV6: set_b] :
( ( ( ! [SY71: b] :
~ ( member_b @ SY71 @ SV6 ) )
= $true )
| ( ( SV6 = bot_bot_set_b )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[649]) ).
thf(690,plain,
! [SV6: set_b] :
( ( ( SV6 = bot_bot_set_b )
= $true )
| ( ( SV6 = bot_bot_set_b )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[650]) ).
thf(691,plain,
! [SV50: set_b,SV33: b,SV8: b] :
( ( ( ~ ( member_b @ SV8 @ ( insert_b @ SV33 @ SV50 ) )
| ~ ( ( SV8 = SV33 )
| ( member_b @ SV8 @ SV50 ) ) )
= $false )
| ( ( member_b @ SV8 @ ( insert_b @ SV33 @ SV50 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[651]) ).
thf(692,plain,
! [SV50: set_b,SV33: b,SV8: b] :
( ( ( SV8 = SV33 )
= $false )
| ( ( ~ ( ~ ( member_b @ SV8 @ ( insert_b @ SV33 @ SV50 ) )
| ~ ( ( SV8 = SV33 )
| ( member_b @ SV8 @ SV50 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[652]) ).
thf(693,plain,
! [SV33: b,SV50: set_b,SV8: b] :
( ( ( member_b @ SV8 @ SV50 )
= $false )
| ( ( ~ ( ~ ( member_b @ SV8 @ ( insert_b @ SV33 @ SV50 ) )
| ~ ( ( SV8 = SV33 )
| ( member_b @ SV8 @ SV50 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[652]) ).
thf(694,plain,
! [SV11: $o] :
( ( ( ~ SV11 ) = $false )
| ( SV11 = $false )
| ( ( SV11 = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[653]) ).
thf(695,plain,
! [SV11: $o] :
( ( ( ~ $true ) = $false )
| ( SV11 = $false )
| ( ( SV11 = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[653]) ).
thf(696,plain,
! [SV11: $o] :
( ( ( ~ SV11 ) = $false )
| ( $true = $false )
| ( ( SV11 = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[654]) ).
thf(697,plain,
! [SV11: $o] :
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( ( SV11 = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[654]) ).
thf(698,plain,
! [SV11: $o] :
( ( ( ~ SV11
| ~ $false )
= $false )
| ( SV11 = $false )
| ( ( SV11 = $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[655]) ).
thf(699,plain,
! [SV11: $o] :
( ( ( ~ SV11
| ~ $false )
= $false )
| ( $false = $false )
| ( ( SV11 = $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[656]) ).
thf(700,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[657]) ).
thf(701,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[657]) ).
thf(702,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[658]) ).
thf(703,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[658]) ).
thf(704,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $true = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[659]) ).
thf(705,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $false = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[660]) ).
thf(706,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[661]) ).
thf(707,plain,
( ( ( ~ $true ) = $false )
| ( $false = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[661]) ).
thf(708,plain,
( ( ( ~ $false ) = $false )
| ( $true = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[662]) ).
thf(709,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[662]) ).
thf(710,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[663]) ).
thf(711,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[664]) ).
thf(712,plain,
! [SV51: b,SV36: set_b,SV13: b] :
( ( ( member_b @ SV13 @ SV36 )
= $false )
| ( ( member_b @ SV13 @ ( insert_b @ SV51 @ SV36 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[666]) ).
thf(713,plain,
! [SV14: set_b,SV63: b] :
( ( ( member_b @ SV63 @ SV14 )
= $false )
| ( ( ~ ( ~ ~ ! [SY79: b] :
~ ( member_b @ SY79 @ SV14 )
| ~ ( ( SV14 != bot_bot_set_b ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[667]) ).
thf(714,plain,
! [SV14: set_b] :
( ( ( ~ ~ ! [SY79: b] :
~ ( member_b @ SY79 @ SV14 ) )
= $false )
| ( ( SV14 = bot_bot_set_b )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[668]) ).
thf(715,plain,
! [SV14: set_b] :
( ( ( ~ ( ( SV14 != bot_bot_set_b ) ) )
= $false )
| ( ( SV14 = bot_bot_set_b )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[668]) ).
thf(716,plain,
! [SV37: set_b,SV52: set_b,SV16: b] :
( ( ( ~ ( member_b @ SV16 @ SV52 ) )
= $false )
| ( ( ( ( insert_b @ SV16 @ SV37 )
= ( insert_b @ SV16 @ SV52 ) )
= ( SV37 = SV52 ) )
= $true )
| ( ( member_b @ SV16 @ SV37 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[669]) ).
thf(717,plain,
! [SV18: b,SV39: set_b] :
( ( ( SV39
= ( insert_b @ SV18 @ ( sK4_SY111 @ SV18 @ SV39 ) ) )
= $true )
| ( ( member_b @ SV18 @ SV39 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[670]) ).
thf(718,plain,
! [SV22: b,SV42: set_b] :
( ( ( ( SV42
!= ( insert_b @ SV22 @ ( sK5_SY113 @ SV22 @ SV42 ) ) )
| ~ ~ ( member_b @ SV22 @ ( sK5_SY113 @ SV22 @ SV42 ) ) )
= $false )
| ( ( member_b @ SV22 @ SV42 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[673]) ).
thf(719,plain,
! [SV55: set_b,SV43: b,SV23: b] :
( ( ( SV23 = SV43 )
= $true )
| ( ( member_b @ SV23 @ SV55 )
= $true )
| ( ( member_b @ SV23 @ ( insert_b @ SV43 @ SV55 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[674]) ).
thf(720,plain,
! [SV44: set_b,SV24: b,SV60: set_b,SV56: b] :
( ( ( ~ ~ ( member_b @ SV56 @ SV60 ) )
= $true )
| ( ( ( ( insert_b @ SV24 @ SV44 )
= ( insert_b @ SV56 @ SV60 ) )
= ( ~ ( ~ ( ( SV24 != SV56 )
| ( SV44 = SV60 ) )
| ~ ( ~ ( ( SV24 != SV56 ) )
| ~ ! [SY127: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV44
!= ( insert_b @ SV56 @ SY127 ) )
| ~ ~ ( member_b @ SV56 @ SY127 ) )
| ( SV60
!= ( insert_b @ SV24 @ SY127 ) ) )
| ~ ~ ( member_b @ SV24 @ SY127 ) ) ) ) ) )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[675]) ).
thf(721,plain,
! [SV61: set_b,SV46: set_b] :
( ( ( ord_less_eq_set_b @ SV46 @ SV61 )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_b @ SV46 @ SV61 )
| ~ ! [SY128: b] :
( ~ ( member_b @ SY128 @ SV46 )
| ( member_b @ SY128 @ SV61 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[676]) ).
thf(722,plain,
! [SV61: set_b,SV46: set_b] :
( ( ( ! [SY128: b] :
( ~ ( member_b @ SY128 @ SV46 )
| ( member_b @ SY128 @ SV61 ) ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_b @ SV46 @ SV61 )
| ~ ! [SY128: b] :
( ~ ( member_b @ SY128 @ SV46 )
| ( member_b @ SY128 @ SV61 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[676]) ).
thf(723,plain,
! [SV62: set_b,SV48: set_b] :
( ( ( ord_less_eq_set_b @ SV48 @ SV62 )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_b @ SV48 @ SV62 )
| ~ ! [SY129: b] :
( ~ ( member_b @ SY129 @ SV48 )
| ( member_b @ SY129 @ SV62 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[678]) ).
thf(724,plain,
! [SV62: set_b,SV48: set_b] :
( ( ( ! [SY129: b] :
( ~ ( member_b @ SY129 @ SV48 )
| ( member_b @ SY129 @ SV62 ) ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_b @ SV48 @ SV62 )
| ~ ! [SY129: b] :
( ~ ( member_b @ SY129 @ SV48 )
| ( member_b @ SY129 @ SV62 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[678]) ).
thf(725,plain,
! [SV49: labele1159362096nt_a_b,SV30: labele1159362096nt_a_b] :
( ( ( ( labele1424214014nt_a_b @ SV30 )
= ( labele1424214014nt_a_b @ SV49 ) )
= $false )
| ( ( ( labele1741081071nt_a_b @ SV30 )
= ( labele1741081071nt_a_b @ SV49 ) )
= $false )
| ( ( SV30 = SV49 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[679]) ).
thf(726,plain,
! [SV32: b > $o,SV4: b] :
( ( ( member_b @ SV4 @ ( collect_b @ SV32 ) )
= $true )
| ( ( member_b @ SV4 @ ( collect_b @ SV32 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[684]) ).
thf(727,plain,
! [SV4: b,SV32: b > $o] :
( ( ( SV32 @ SV4 )
= $true )
| ( ( member_b @ SV4 @ ( collect_b @ SV32 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[685]) ).
thf(728,plain,
! [SV32: b > $o,SV4: b] :
( ( ( member_b @ SV4 @ ( collect_b @ SV32 ) )
= $true )
| ( ( SV32 @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[686]) ).
thf(729,plain,
! [SV4: b,SV32: b > $o] :
( ( ( SV32 @ SV4 )
= $true )
| ( ( SV32 @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[687]) ).
thf(730,plain,
! [SV6: set_b] :
( ( ( ~ ! [SY71: b] :
~ ( member_b @ SY71 @ SV6 ) )
= $false )
| ( ( member_b @ ( sK3_SY71 @ SV6 ) @ SV6 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[688]) ).
thf(731,plain,
! [SV6: set_b] :
( ( ( SV6 != bot_bot_set_b )
= $false )
| ( ( member_b @ ( sK3_SY71 @ SV6 ) @ SV6 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[688]) ).
thf(732,plain,
! [SV6: set_b,SV64: b] :
( ( ( ~ ( member_b @ SV64 @ SV6 ) )
= $true )
| ( ( SV6 = bot_bot_set_b )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[689]) ).
thf(733,plain,
! [SV50: set_b,SV33: b,SV8: b] :
( ( ( ~ ( member_b @ SV8 @ ( insert_b @ SV33 @ SV50 ) ) )
= $false )
| ( ( member_b @ SV8 @ ( insert_b @ SV33 @ SV50 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[691]) ).
thf(734,plain,
! [SV50: set_b,SV33: b,SV8: b] :
( ( ( ~ ( ( SV8 = SV33 )
| ( member_b @ SV8 @ SV50 ) ) )
= $false )
| ( ( member_b @ SV8 @ ( insert_b @ SV33 @ SV50 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[691]) ).
thf(735,plain,
! [SV50: set_b,SV33: b,SV8: b] :
( ( ( ~ ( member_b @ SV8 @ ( insert_b @ SV33 @ SV50 ) )
| ~ ( ( SV8 = SV33 )
| ( member_b @ SV8 @ SV50 ) ) )
= $false )
| ( ( SV8 = SV33 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[692]) ).
thf(736,plain,
! [SV50: set_b,SV33: b,SV8: b] :
( ( ( ~ ( member_b @ SV8 @ ( insert_b @ SV33 @ SV50 ) )
| ~ ( ( SV8 = SV33 )
| ( member_b @ SV8 @ SV50 ) ) )
= $false )
| ( ( member_b @ SV8 @ SV50 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[693]) ).
thf(737,plain,
! [SV11: $o] :
( ( SV11 = $true )
| ( SV11 = $false )
| ( ( SV11 = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[694]) ).
thf(738,plain,
! [SV11: $o] :
( ( $true = $true )
| ( SV11 = $false )
| ( ( SV11 = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[695]) ).
thf(739,plain,
! [SV11: $o] :
( ( SV11 = $true )
| ( $true = $false )
| ( ( SV11 = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[696]) ).
thf(740,plain,
! [SV11: $o] :
( ( $true = $true )
| ( $true = $false )
| ( ( SV11 = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[697]) ).
thf(741,plain,
! [SV11: $o] :
( ( ( ~ SV11 ) = $false )
| ( SV11 = $false )
| ( ( SV11 = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[698]) ).
thf(742,plain,
! [SV11: $o] :
( ( ( ~ $false ) = $false )
| ( SV11 = $false )
| ( ( SV11 = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[698]) ).
thf(743,plain,
! [SV11: $o] :
( ( ( ~ SV11 ) = $false )
| ( $false = $false )
| ( ( SV11 = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[699]) ).
thf(744,plain,
! [SV11: $o] :
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( ( SV11 = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[699]) ).
thf(745,plain,
( ( $true = $true )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[700]) ).
thf(746,plain,
( ( $true = $true )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[701]) ).
thf(747,plain,
( ( $true = $true )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[702]) ).
thf(748,plain,
( ( $true = $true )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[703]) ).
thf(749,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[704]) ).
thf(750,plain,
( ( ( ~ $false ) = $false )
| ( $true = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[704]) ).
thf(751,plain,
( ( ( ~ $true ) = $false )
| ( $false = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[705]) ).
thf(752,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[705]) ).
thf(753,plain,
( ( $false = $true )
| ( $false = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[706]) ).
thf(754,plain,
( ( $true = $true )
| ( $false = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[707]) ).
thf(755,plain,
( ( $false = $true )
| ( $true = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[708]) ).
thf(756,plain,
( ( $true = $true )
| ( $true = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[709]) ).
thf(757,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[710]) ).
thf(758,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[710]) ).
thf(759,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[711]) ).
thf(760,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[711]) ).
thf(761,plain,
! [SV63: b,SV14: set_b] :
( ( ( ~ ~ ! [SY79: b] :
~ ( member_b @ SY79 @ SV14 )
| ~ ( ( SV14 != bot_bot_set_b ) ) )
= $false )
| ( ( member_b @ SV63 @ SV14 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[713]) ).
thf(762,plain,
! [SV14: set_b] :
( ( ( ~ ! [SY79: b] :
~ ( member_b @ SY79 @ SV14 ) )
= $true )
| ( ( SV14 = bot_bot_set_b )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[714]) ).
thf(763,plain,
! [SV14: set_b] :
( ( ( SV14 != bot_bot_set_b )
= $true )
| ( ( SV14 = bot_bot_set_b )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[715]) ).
thf(764,plain,
! [SV37: set_b,SV52: set_b,SV16: b] :
( ( ( member_b @ SV16 @ SV52 )
= $true )
| ( ( ( ( insert_b @ SV16 @ SV37 )
= ( insert_b @ SV16 @ SV52 ) )
= ( SV37 = SV52 ) )
= $true )
| ( ( member_b @ SV16 @ SV37 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[716]) ).
thf(765,plain,
! [SV22: b,SV42: set_b] :
( ( ( SV42
!= ( insert_b @ SV22 @ ( sK5_SY113 @ SV22 @ SV42 ) ) )
= $false )
| ( ( member_b @ SV22 @ SV42 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[718]) ).
thf(766,plain,
! [SV42: set_b,SV22: b] :
( ( ( ~ ~ ( member_b @ SV22 @ ( sK5_SY113 @ SV22 @ SV42 ) ) )
= $false )
| ( ( member_b @ SV22 @ SV42 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[718]) ).
thf(767,plain,
! [SV44: set_b,SV24: b,SV60: set_b,SV56: b] :
( ( ( ~ ( member_b @ SV56 @ SV60 ) )
= $false )
| ( ( ( ( insert_b @ SV24 @ SV44 )
= ( insert_b @ SV56 @ SV60 ) )
= ( ~ ( ~ ( ( SV24 != SV56 )
| ( SV44 = SV60 ) )
| ~ ( ~ ( ( SV24 != SV56 ) )
| ~ ! [SY127: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV44
!= ( insert_b @ SV56 @ SY127 ) )
| ~ ~ ( member_b @ SV56 @ SY127 ) )
| ( SV60
!= ( insert_b @ SV24 @ SY127 ) ) )
| ~ ~ ( member_b @ SV24 @ SY127 ) ) ) ) ) )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[720]) ).
thf(768,plain,
! [SV61: set_b,SV46: set_b] :
( ( ( ~ ( ord_less_eq_set_b @ SV46 @ SV61 )
| ~ ! [SY128: b] :
( ~ ( member_b @ SY128 @ SV46 )
| ( member_b @ SY128 @ SV61 ) ) )
= $false )
| ( ( ord_less_eq_set_b @ SV46 @ SV61 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[721]) ).
thf(769,plain,
! [SV46: set_b,SV61: set_b] :
( ( ( ~ ( member_b @ ( sK6_SY128 @ SV61 @ SV46 ) @ SV46 )
| ( member_b @ ( sK6_SY128 @ SV61 @ SV46 ) @ SV61 ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_b @ SV46 @ SV61 )
| ~ ! [SY128: b] :
( ~ ( member_b @ SY128 @ SV46 )
| ( member_b @ SY128 @ SV61 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[722]) ).
thf(770,plain,
! [SV62: set_b,SV48: set_b] :
( ( ( ~ ( ord_less_eq_set_b @ SV48 @ SV62 )
| ~ ! [SY129: b] :
( ~ ( member_b @ SY129 @ SV48 )
| ( member_b @ SY129 @ SV62 ) ) )
= $false )
| ( ( ord_less_eq_set_b @ SV48 @ SV62 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[723]) ).
thf(771,plain,
! [SV48: set_b,SV62: set_b] :
( ( ( ~ ( member_b @ ( sK7_SY129 @ SV62 @ SV48 ) @ SV48 )
| ( member_b @ ( sK7_SY129 @ SV62 @ SV48 ) @ SV62 ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_b @ SV48 @ SV62 )
| ~ ! [SY129: b] :
( ~ ( member_b @ SY129 @ SV48 )
| ( member_b @ SY129 @ SV62 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[724]) ).
thf(772,plain,
! [SV6: set_b] :
( ( ( ! [SY71: b] :
~ ( member_b @ SY71 @ SV6 ) )
= $true )
| ( ( member_b @ ( sK3_SY71 @ SV6 ) @ SV6 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[730]) ).
thf(773,plain,
! [SV6: set_b] :
( ( ( SV6 = bot_bot_set_b )
= $true )
| ( ( member_b @ ( sK3_SY71 @ SV6 ) @ SV6 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[731]) ).
thf(774,plain,
! [SV6: set_b,SV64: b] :
( ( ( member_b @ SV64 @ SV6 )
= $false )
| ( ( SV6 = bot_bot_set_b )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[732]) ).
thf(775,plain,
! [SV50: set_b,SV33: b,SV8: b] :
( ( ( member_b @ SV8 @ ( insert_b @ SV33 @ SV50 ) )
= $true )
| ( ( member_b @ SV8 @ ( insert_b @ SV33 @ SV50 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[733]) ).
thf(776,plain,
! [SV50: set_b,SV33: b,SV8: b] :
( ( ( ( SV8 = SV33 )
| ( member_b @ SV8 @ SV50 ) )
= $true )
| ( ( member_b @ SV8 @ ( insert_b @ SV33 @ SV50 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[734]) ).
thf(777,plain,
! [SV50: set_b,SV33: b,SV8: b] :
( ( ( ~ ( member_b @ SV8 @ ( insert_b @ SV33 @ SV50 ) ) )
= $false )
| ( ( SV8 = SV33 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[735]) ).
thf(778,plain,
! [SV50: set_b,SV33: b,SV8: b] :
( ( ( ~ ( ( SV8 = SV33 )
| ( member_b @ SV8 @ SV50 ) ) )
= $false )
| ( ( SV8 = SV33 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[735]) ).
thf(779,plain,
! [SV50: set_b,SV33: b,SV8: b] :
( ( ( ~ ( member_b @ SV8 @ ( insert_b @ SV33 @ SV50 ) ) )
= $false )
| ( ( member_b @ SV8 @ SV50 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[736]) ).
thf(780,plain,
! [SV50: set_b,SV33: b,SV8: b] :
( ( ( ~ ( ( SV8 = SV33 )
| ( member_b @ SV8 @ SV50 ) ) )
= $false )
| ( ( member_b @ SV8 @ SV50 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[736]) ).
thf(781,plain,
! [SV11: $o] :
( ( ( ~ ( SV11
| $false )
| ~ ( ~ SV11
| ~ $false ) )
= $true )
| ( SV11 = $false )
| ( SV11 = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[737]) ).
thf(782,plain,
! [SV11: $o] :
( ( ( SV11 = $false )
= $true )
| ( SV11 = $false )
| ( SV11 = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[737]) ).
thf(783,plain,
! [SV11: $o] :
( ( ( ~ ( SV11
| $false )
| ~ ( ~ SV11
| ~ $false ) )
= $true )
| ( SV11 = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[738]) ).
thf(784,plain,
! [SV11: $o] :
( ( ( SV11 = $false )
= $true )
| ( SV11 = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[738]) ).
thf(785,plain,
! [SV11: $o] :
( ( ( ~ ( SV11
| $false )
| ~ ( ~ SV11
| ~ $false ) )
= $true )
| ( $true = $false )
| ( SV11 = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[739]) ).
thf(786,plain,
! [SV11: $o] :
( ( ( SV11 = $false )
= $true )
| ( $true = $false )
| ( SV11 = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[739]) ).
thf(787,plain,
! [SV11: $o] :
( ( ( ~ ( SV11
| $false )
| ~ ( ~ SV11
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[740]) ).
thf(788,plain,
! [SV11: $o] :
( ( ( SV11 = $false )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[740]) ).
thf(789,plain,
! [SV11: $o] :
( ( SV11 = $true )
| ( SV11 = $false )
| ( ( SV11 = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[741]) ).
thf(790,plain,
! [SV11: $o] :
( ( $false = $true )
| ( SV11 = $false )
| ( ( SV11 = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[742]) ).
thf(791,plain,
! [SV11: $o] :
( ( SV11 = $true )
| ( $false = $false )
| ( ( SV11 = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[743]) ).
thf(792,plain,
! [SV11: $o] :
( ( $false = $true )
| ( $false = $false )
| ( ( SV11 = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[744]) ).
thf(793,plain,
( ( ( ~ ( $true
| $false )
| ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[745]) ).
thf(794,plain,
( ( ( $true = $false )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[745]) ).
thf(795,plain,
( ( ( ~ ( $true
| $false )
| ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[746]) ).
thf(796,plain,
( ( ( $true = $false )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[746]) ).
thf(797,plain,
( ( ( ~ ( $true
| $false )
| ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[747]) ).
thf(798,plain,
( ( ( $true = $false )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[747]) ).
thf(799,plain,
( ( ( ~ ( $true
| $false )
| ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[748]) ).
thf(800,plain,
( ( ( $true = $false )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[748]) ).
thf(801,plain,
( ( $true = $true )
| ( $true = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[749]) ).
thf(802,plain,
( ( $false = $true )
| ( $true = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[750]) ).
thf(803,plain,
( ( $true = $true )
| ( $false = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[751]) ).
thf(804,plain,
( ( $false = $true )
| ( $false = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[752]) ).
thf(805,plain,
( ( ( ~ ( $false
| $false )
| ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[753]) ).
thf(806,plain,
( ( ( $false = $false )
= $true )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[753]) ).
thf(807,plain,
( ( ( ~ ( $false
| $false )
| ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[754]) ).
thf(808,plain,
( ( ( $false = $false )
= $true )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[754]) ).
thf(809,plain,
( ( ( ~ ( $false
| $false )
| ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[755]) ).
thf(810,plain,
( ( ( $false = $false )
= $true )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[755]) ).
thf(811,plain,
( ( ( ~ ( $false
| $false )
| ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[756]) ).
thf(812,plain,
( ( ( $false = $false )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[756]) ).
thf(813,plain,
( ( $false = $true )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[757]) ).
thf(814,plain,
( ( $false = $true )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[758]) ).
thf(815,plain,
( ( $false = $true )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[759]) ).
thf(816,plain,
( ( $false = $true )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[760]) ).
thf(817,plain,
! [SV63: b,SV14: set_b] :
( ( ( ~ ~ ! [SY79: b] :
~ ( member_b @ SY79 @ SV14 ) )
= $false )
| ( ( member_b @ SV63 @ SV14 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[761]) ).
thf(818,plain,
! [SV63: b,SV14: set_b] :
( ( ( ~ ( ( SV14 != bot_bot_set_b ) ) )
= $false )
| ( ( member_b @ SV63 @ SV14 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[761]) ).
thf(819,plain,
! [SV14: set_b] :
( ( ( ! [SY79: b] :
~ ( member_b @ SY79 @ SV14 ) )
= $false )
| ( ( SV14 = bot_bot_set_b )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[762]) ).
thf(820,plain,
! [SV14: set_b] :
( ( ( SV14 = bot_bot_set_b )
= $false )
| ( ( SV14 = bot_bot_set_b )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[763]) ).
thf(821,plain,
! [SV52: set_b,SV37: set_b,SV16: b] :
( ( ( ~ ( ( ( insert_b @ SV16 @ SV37 )
= ( insert_b @ SV16 @ SV52 ) )
| ( SV37 = SV52 ) )
| ~ ( ( ( insert_b @ SV16 @ SV37 )
!= ( insert_b @ SV16 @ SV52 ) )
| ( SV37 != SV52 ) ) )
= $true )
| ( ( member_b @ SV16 @ SV52 )
= $true )
| ( ( member_b @ SV16 @ SV37 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[764]) ).
thf(822,plain,
! [SV52: set_b,SV37: set_b,SV16: b] :
( ( ( ( ( insert_b @ SV16 @ SV37 )
= ( insert_b @ SV16 @ SV52 ) )
= ( SV37 = SV52 ) )
= $true )
| ( ( member_b @ SV16 @ SV52 )
= $true )
| ( ( member_b @ SV16 @ SV37 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[764]) ).
thf(823,plain,
! [SV22: b,SV42: set_b] :
( ( ( SV42
= ( insert_b @ SV22 @ ( sK5_SY113 @ SV22 @ SV42 ) ) )
= $true )
| ( ( member_b @ SV22 @ SV42 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[765]) ).
thf(824,plain,
! [SV42: set_b,SV22: b] :
( ( ( ~ ( member_b @ SV22 @ ( sK5_SY113 @ SV22 @ SV42 ) ) )
= $true )
| ( ( member_b @ SV22 @ SV42 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[766]) ).
thf(825,plain,
! [SV44: set_b,SV24: b,SV60: set_b,SV56: b] :
( ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( ( ( insert_b @ SV24 @ SV44 )
= ( insert_b @ SV56 @ SV60 ) )
= ( ~ ( ~ ( ( SV24 != SV56 )
| ( SV44 = SV60 ) )
| ~ ( ~ ( ( SV24 != SV56 ) )
| ~ ! [SY127: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV44
!= ( insert_b @ SV56 @ SY127 ) )
| ~ ~ ( member_b @ SV56 @ SY127 ) )
| ( SV60
!= ( insert_b @ SV24 @ SY127 ) ) )
| ~ ~ ( member_b @ SV24 @ SY127 ) ) ) ) ) )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[767]) ).
thf(826,plain,
! [SV61: set_b,SV46: set_b] :
( ( ( ~ ( ord_less_eq_set_b @ SV46 @ SV61 ) )
= $false )
| ( ( ord_less_eq_set_b @ SV46 @ SV61 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[768]) ).
thf(827,plain,
! [SV61: set_b,SV46: set_b] :
( ( ( ~ ! [SY128: b] :
( ~ ( member_b @ SY128 @ SV46 )
| ( member_b @ SY128 @ SV61 ) ) )
= $false )
| ( ( ord_less_eq_set_b @ SV46 @ SV61 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[768]) ).
thf(828,plain,
! [SV46: set_b,SV61: set_b] :
( ( ( ~ ( member_b @ ( sK6_SY128 @ SV61 @ SV46 ) @ SV46 ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_b @ SV46 @ SV61 )
| ~ ! [SY128: b] :
( ~ ( member_b @ SY128 @ SV46 )
| ( member_b @ SY128 @ SV61 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[769]) ).
thf(829,plain,
! [SV46: set_b,SV61: set_b] :
( ( ( member_b @ ( sK6_SY128 @ SV61 @ SV46 ) @ SV61 )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_b @ SV46 @ SV61 )
| ~ ! [SY128: b] :
( ~ ( member_b @ SY128 @ SV46 )
| ( member_b @ SY128 @ SV61 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[769]) ).
thf(830,plain,
! [SV62: set_b,SV48: set_b] :
( ( ( ~ ( ord_less_eq_set_b @ SV48 @ SV62 ) )
= $false )
| ( ( ord_less_eq_set_b @ SV48 @ SV62 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[770]) ).
thf(831,plain,
! [SV62: set_b,SV48: set_b] :
( ( ( ~ ! [SY129: b] :
( ~ ( member_b @ SY129 @ SV48 )
| ( member_b @ SY129 @ SV62 ) ) )
= $false )
| ( ( ord_less_eq_set_b @ SV48 @ SV62 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[770]) ).
thf(832,plain,
! [SV48: set_b,SV62: set_b] :
( ( ( ~ ( member_b @ ( sK7_SY129 @ SV62 @ SV48 ) @ SV48 ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_b @ SV48 @ SV62 )
| ~ ! [SY129: b] :
( ~ ( member_b @ SY129 @ SV48 )
| ( member_b @ SY129 @ SV62 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[771]) ).
thf(833,plain,
! [SV48: set_b,SV62: set_b] :
( ( ( member_b @ ( sK7_SY129 @ SV62 @ SV48 ) @ SV62 )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_b @ SV48 @ SV62 )
| ~ ! [SY129: b] :
( ~ ( member_b @ SY129 @ SV48 )
| ( member_b @ SY129 @ SV62 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[771]) ).
thf(834,plain,
! [SV6: set_b,SV65: b] :
( ( ( ~ ( member_b @ SV65 @ SV6 ) )
= $true )
| ( ( member_b @ ( sK3_SY71 @ SV6 ) @ SV6 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[772]) ).
thf(835,plain,
! [SV50: set_b,SV33: b,SV8: b] :
( ( ( SV8 = SV33 )
= $true )
| ( ( member_b @ SV8 @ SV50 )
= $true )
| ( ( member_b @ SV8 @ ( insert_b @ SV33 @ SV50 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[776]) ).
thf(836,plain,
! [SV50: set_b,SV33: b,SV8: b] :
( ( ( member_b @ SV8 @ ( insert_b @ SV33 @ SV50 ) )
= $true )
| ( ( SV8 = SV33 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[777]) ).
thf(837,plain,
! [SV50: set_b,SV33: b,SV8: b] :
( ( ( ( SV8 = SV33 )
| ( member_b @ SV8 @ SV50 ) )
= $true )
| ( ( SV8 = SV33 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[778]) ).
thf(838,plain,
! [SV50: set_b,SV33: b,SV8: b] :
( ( ( member_b @ SV8 @ ( insert_b @ SV33 @ SV50 ) )
= $true )
| ( ( member_b @ SV8 @ SV50 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[779]) ).
thf(839,plain,
! [SV50: set_b,SV33: b,SV8: b] :
( ( ( ( SV8 = SV33 )
| ( member_b @ SV8 @ SV50 ) )
= $true )
| ( ( member_b @ SV8 @ SV50 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[780]) ).
thf(840,plain,
! [SV11: $o] :
( ( ( ~ ( SV11
| $false ) )
= $true )
| ( ( ~ ( ~ SV11
| ~ $false ) )
= $true )
| ( SV11 = $false )
| ( SV11 = $true ) ),
inference(extcnf_or_pos,[status(thm)],[781]) ).
thf(841,plain,
! [SV11: $o] :
( ( ( ~ ( SV11
| $false ) )
= $true )
| ( ( ~ ( ~ SV11
| ~ $false ) )
= $true )
| ( SV11 = $false )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[783]) ).
thf(842,plain,
! [SV11: $o] :
( ( ( ~ ( SV11
| $false ) )
= $true )
| ( ( ~ ( ~ SV11
| ~ $false ) )
= $true )
| ( $true = $false )
| ( SV11 = $true ) ),
inference(extcnf_or_pos,[status(thm)],[785]) ).
thf(843,plain,
! [SV11: $o] :
( ( ( ~ ( SV11
| $false ) )
= $true )
| ( ( ~ ( ~ SV11
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[787]) ).
thf(844,plain,
( ( ( ~ ( $true
| $false ) )
= $true )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[793]) ).
thf(845,plain,
( ( ( ~ ( $true
| $false ) )
= $true )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[795]) ).
thf(846,plain,
( ( ( ~ ( $true
| $false ) )
= $true )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[797]) ).
thf(847,plain,
( ( ( ~ ( $true
| $false ) )
= $true )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[799]) ).
thf(848,plain,
( ( ( ~ ( $false
| $false ) )
= $true )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_or_pos,[status(thm)],[805]) ).
thf(849,plain,
( ( ( ~ ( $false
| $false ) )
= $true )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[807]) ).
thf(850,plain,
( ( ( ~ ( $false
| $false ) )
= $true )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_or_pos,[status(thm)],[809]) ).
thf(851,plain,
( ( ( ~ ( $false
| $false ) )
= $true )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[811]) ).
thf(852,plain,
! [SV63: b,SV14: set_b] :
( ( ( ~ ! [SY79: b] :
~ ( member_b @ SY79 @ SV14 ) )
= $true )
| ( ( member_b @ SV63 @ SV14 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[817]) ).
thf(853,plain,
! [SV63: b,SV14: set_b] :
( ( ( SV14 != bot_bot_set_b )
= $true )
| ( ( member_b @ SV63 @ SV14 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[818]) ).
thf(854,plain,
! [SV14: set_b] :
( ( ( ~ ( member_b @ ( sK8_SY79 @ SV14 ) @ SV14 ) )
= $false )
| ( ( SV14 = bot_bot_set_b )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[819]) ).
thf(855,plain,
! [SV52: set_b,SV37: set_b,SV16: b] :
( ( ( ~ ( ( ( insert_b @ SV16 @ SV37 )
= ( insert_b @ SV16 @ SV52 ) )
| ( SV37 = SV52 ) ) )
= $true )
| ( ( ~ ( ( ( insert_b @ SV16 @ SV37 )
!= ( insert_b @ SV16 @ SV52 ) )
| ( SV37 != SV52 ) ) )
= $true )
| ( ( member_b @ SV16 @ SV52 )
= $true )
| ( ( member_b @ SV16 @ SV37 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[821]) ).
thf(856,plain,
! [SV42: set_b,SV22: b] :
( ( ( member_b @ SV22 @ ( sK5_SY113 @ SV22 @ SV42 ) )
= $false )
| ( ( member_b @ SV22 @ SV42 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[824]) ).
thf(857,plain,
! [SV60: set_b,SV56: b,SV44: set_b,SV24: b] :
( ( ( ~ ( ( ( insert_b @ SV24 @ SV44 )
= ( insert_b @ SV56 @ SV60 ) )
| ~ ( ~ ( ( SV24 != SV56 )
| ( SV44 = SV60 ) )
| ~ ( ~ ( ( SV24 != SV56 ) )
| ~ ! [SY127: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV44
!= ( insert_b @ SV56 @ SY127 ) )
| ~ ~ ( member_b @ SV56 @ SY127 ) )
| ( SV60
!= ( insert_b @ SV24 @ SY127 ) ) )
| ~ ~ ( member_b @ SV24 @ SY127 ) ) ) ) )
| ~ ( ( ( insert_b @ SV24 @ SV44 )
!= ( insert_b @ SV56 @ SV60 ) )
| ~ ~ ( ~ ( ( SV24 != SV56 )
| ( SV44 = SV60 ) )
| ~ ( ~ ( ( SV24 != SV56 ) )
| ~ ! [SY127: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV44
!= ( insert_b @ SV56 @ SY127 ) )
| ~ ~ ( member_b @ SV56 @ SY127 ) )
| ( SV60
!= ( insert_b @ SV24 @ SY127 ) ) )
| ~ ~ ( member_b @ SV24 @ SY127 ) ) ) ) ) )
= $true )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[825]) ).
thf(858,plain,
! [SV60: set_b,SV56: b,SV44: set_b,SV24: b] :
( ( ( ( ( insert_b @ SV24 @ SV44 )
= ( insert_b @ SV56 @ SV60 ) )
= ( ~ ( ~ ( ( SV24 != SV56 )
| ( SV44 = SV60 ) )
| ~ ( ~ ( ( SV24 != SV56 ) )
| ~ ! [SY127: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV44
!= ( insert_b @ SV56 @ SY127 ) )
| ~ ~ ( member_b @ SV56 @ SY127 ) )
| ( SV60
!= ( insert_b @ SV24 @ SY127 ) ) )
| ~ ~ ( member_b @ SV24 @ SY127 ) ) ) ) ) )
= $true )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[825]) ).
thf(859,plain,
! [SV61: set_b,SV46: set_b] :
( ( ( ord_less_eq_set_b @ SV46 @ SV61 )
= $true )
| ( ( ord_less_eq_set_b @ SV46 @ SV61 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[826]) ).
thf(860,plain,
! [SV61: set_b,SV46: set_b] :
( ( ( ! [SY128: b] :
( ~ ( member_b @ SY128 @ SV46 )
| ( member_b @ SY128 @ SV61 ) ) )
= $true )
| ( ( ord_less_eq_set_b @ SV46 @ SV61 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[827]) ).
thf(861,plain,
! [SV46: set_b,SV61: set_b] :
( ( ( member_b @ ( sK6_SY128 @ SV61 @ SV46 ) @ SV46 )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_set_b @ SV46 @ SV61 )
| ~ ! [SY128: b] :
( ~ ( member_b @ SY128 @ SV46 )
| ( member_b @ SY128 @ SV61 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[828]) ).
thf(862,plain,
! [SV61: set_b,SV46: set_b] :
( ( ( ~ ( ord_less_eq_set_b @ SV46 @ SV61 )
| ~ ! [SY128: b] :
( ~ ( member_b @ SY128 @ SV46 )
| ( member_b @ SY128 @ SV61 ) ) )
= $false )
| ( ( member_b @ ( sK6_SY128 @ SV61 @ SV46 ) @ SV61 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[829]) ).
thf(863,plain,
! [SV62: set_b,SV48: set_b] :
( ( ( ord_less_eq_set_b @ SV48 @ SV62 )
= $true )
| ( ( ord_less_eq_set_b @ SV48 @ SV62 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[830]) ).
thf(864,plain,
! [SV62: set_b,SV48: set_b] :
( ( ( ! [SY129: b] :
( ~ ( member_b @ SY129 @ SV48 )
| ( member_b @ SY129 @ SV62 ) ) )
= $true )
| ( ( ord_less_eq_set_b @ SV48 @ SV62 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[831]) ).
thf(865,plain,
! [SV48: set_b,SV62: set_b] :
( ( ( member_b @ ( sK7_SY129 @ SV62 @ SV48 ) @ SV48 )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_set_b @ SV48 @ SV62 )
| ~ ! [SY129: b] :
( ~ ( member_b @ SY129 @ SV48 )
| ( member_b @ SY129 @ SV62 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[832]) ).
thf(866,plain,
! [SV62: set_b,SV48: set_b] :
( ( ( ~ ( ord_less_eq_set_b @ SV48 @ SV62 )
| ~ ! [SY129: b] :
( ~ ( member_b @ SY129 @ SV48 )
| ( member_b @ SY129 @ SV62 ) ) )
= $false )
| ( ( member_b @ ( sK7_SY129 @ SV62 @ SV48 ) @ SV62 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[833]) ).
thf(867,plain,
! [SV6: set_b,SV65: b] :
( ( ( member_b @ SV65 @ SV6 )
= $false )
| ( ( member_b @ ( sK3_SY71 @ SV6 ) @ SV6 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[834]) ).
thf(868,plain,
! [SV50: set_b,SV33: b,SV8: b] :
( ( ( SV8 = SV33 )
= $true )
| ( ( member_b @ SV8 @ SV50 )
= $true )
| ( ( SV8 = SV33 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[837]) ).
thf(869,plain,
! [SV50: set_b,SV33: b,SV8: b] :
( ( ( SV8 = SV33 )
= $true )
| ( ( member_b @ SV8 @ SV50 )
= $true )
| ( ( member_b @ SV8 @ SV50 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[839]) ).
thf(870,plain,
! [SV11: $o] :
( ( ( SV11
| $false )
= $false )
| ( ( ~ ( ~ SV11
| ~ $false ) )
= $true )
| ( SV11 = $false )
| ( SV11 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[840]) ).
thf(871,plain,
! [SV11: $o] :
( ( ( SV11
| $false )
= $false )
| ( ( ~ ( ~ SV11
| ~ $false ) )
= $true )
| ( SV11 = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[841]) ).
thf(872,plain,
! [SV11: $o] :
( ( ( SV11
| $false )
= $false )
| ( ( ~ ( ~ SV11
| ~ $false ) )
= $true )
| ( $true = $false )
| ( SV11 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[842]) ).
thf(873,plain,
! [SV11: $o] :
( ( ( SV11
| $false )
= $false )
| ( ( ~ ( ~ SV11
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[843]) ).
thf(874,plain,
( ( ( $true
| $false )
= $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[844]) ).
thf(875,plain,
( ( ( $true
| $false )
= $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[845]) ).
thf(876,plain,
( ( ( $true
| $false )
= $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[846]) ).
thf(877,plain,
( ( ( $true
| $false )
= $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[847]) ).
thf(878,plain,
( ( ( $false
| $false )
= $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[848]) ).
thf(879,plain,
( ( ( $false
| $false )
= $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[849]) ).
thf(880,plain,
( ( ( $false
| $false )
= $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[850]) ).
thf(881,plain,
( ( ( $false
| $false )
= $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[851]) ).
thf(882,plain,
! [SV63: b,SV14: set_b] :
( ( ( ! [SY79: b] :
~ ( member_b @ SY79 @ SV14 ) )
= $false )
| ( ( member_b @ SV63 @ SV14 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[852]) ).
thf(883,plain,
! [SV63: b,SV14: set_b] :
( ( ( SV14 = bot_bot_set_b )
= $false )
| ( ( member_b @ SV63 @ SV14 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[853]) ).
thf(884,plain,
! [SV14: set_b] :
( ( ( member_b @ ( sK8_SY79 @ SV14 ) @ SV14 )
= $true )
| ( ( SV14 = bot_bot_set_b )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[854]) ).
thf(885,plain,
! [SV52: set_b,SV37: set_b,SV16: b] :
( ( ( ( ( insert_b @ SV16 @ SV37 )
= ( insert_b @ SV16 @ SV52 ) )
| ( SV37 = SV52 ) )
= $false )
| ( ( ~ ( ( ( insert_b @ SV16 @ SV37 )
!= ( insert_b @ SV16 @ SV52 ) )
| ( SV37 != SV52 ) ) )
= $true )
| ( ( member_b @ SV16 @ SV52 )
= $true )
| ( ( member_b @ SV16 @ SV37 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[855]) ).
thf(886,plain,
! [SV60: set_b,SV56: b,SV44: set_b,SV24: b] :
( ( ( ~ ( ( ( insert_b @ SV24 @ SV44 )
= ( insert_b @ SV56 @ SV60 ) )
| ~ ( ~ ( ( SV24 != SV56 )
| ( SV44 = SV60 ) )
| ~ ( ~ ( ( SV24 != SV56 ) )
| ~ ! [SY127: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV44
!= ( insert_b @ SV56 @ SY127 ) )
| ~ ~ ( member_b @ SV56 @ SY127 ) )
| ( SV60
!= ( insert_b @ SV24 @ SY127 ) ) )
| ~ ~ ( member_b @ SV24 @ SY127 ) ) ) ) ) )
= $true )
| ( ( ~ ( ( ( insert_b @ SV24 @ SV44 )
!= ( insert_b @ SV56 @ SV60 ) )
| ~ ~ ( ~ ( ( SV24 != SV56 )
| ( SV44 = SV60 ) )
| ~ ( ~ ( ( SV24 != SV56 ) )
| ~ ! [SY127: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV44
!= ( insert_b @ SV56 @ SY127 ) )
| ~ ~ ( member_b @ SV56 @ SY127 ) )
| ( SV60
!= ( insert_b @ SV24 @ SY127 ) ) )
| ~ ~ ( member_b @ SV24 @ SY127 ) ) ) ) ) )
= $true )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[857]) ).
thf(887,plain,
! [SV61: set_b,SV46: set_b,SV66: b] :
( ( ( ~ ( member_b @ SV66 @ SV46 )
| ( member_b @ SV66 @ SV61 ) )
= $true )
| ( ( ord_less_eq_set_b @ SV46 @ SV61 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[860]) ).
thf(888,plain,
! [SV61: set_b,SV46: set_b] :
( ( ( ~ ( ord_less_eq_set_b @ SV46 @ SV61 )
| ~ ! [SY128: b] :
( ~ ( member_b @ SY128 @ SV46 )
| ( member_b @ SY128 @ SV61 ) ) )
= $false )
| ( ( member_b @ ( sK6_SY128 @ SV61 @ SV46 ) @ SV46 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[861]) ).
thf(889,plain,
! [SV61: set_b,SV46: set_b] :
( ( ( ~ ( ord_less_eq_set_b @ SV46 @ SV61 ) )
= $false )
| ( ( member_b @ ( sK6_SY128 @ SV61 @ SV46 ) @ SV61 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[862]) ).
thf(890,plain,
! [SV61: set_b,SV46: set_b] :
( ( ( ~ ! [SY128: b] :
( ~ ( member_b @ SY128 @ SV46 )
| ( member_b @ SY128 @ SV61 ) ) )
= $false )
| ( ( member_b @ ( sK6_SY128 @ SV61 @ SV46 ) @ SV61 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[862]) ).
thf(891,plain,
! [SV62: set_b,SV48: set_b,SV67: b] :
( ( ( ~ ( member_b @ SV67 @ SV48 )
| ( member_b @ SV67 @ SV62 ) )
= $true )
| ( ( ord_less_eq_set_b @ SV48 @ SV62 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[864]) ).
thf(892,plain,
! [SV62: set_b,SV48: set_b] :
( ( ( ~ ( ord_less_eq_set_b @ SV48 @ SV62 )
| ~ ! [SY129: b] :
( ~ ( member_b @ SY129 @ SV48 )
| ( member_b @ SY129 @ SV62 ) ) )
= $false )
| ( ( member_b @ ( sK7_SY129 @ SV62 @ SV48 ) @ SV48 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[865]) ).
thf(893,plain,
! [SV62: set_b,SV48: set_b] :
( ( ( ~ ( ord_less_eq_set_b @ SV48 @ SV62 ) )
= $false )
| ( ( member_b @ ( sK7_SY129 @ SV62 @ SV48 ) @ SV62 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[866]) ).
thf(894,plain,
! [SV62: set_b,SV48: set_b] :
( ( ( ~ ! [SY129: b] :
( ~ ( member_b @ SY129 @ SV48 )
| ( member_b @ SY129 @ SV62 ) ) )
= $false )
| ( ( member_b @ ( sK7_SY129 @ SV62 @ SV48 ) @ SV62 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[866]) ).
thf(895,plain,
! [SV11: $o] :
( ( SV11 = $false )
| ( ( ~ ( ~ SV11
| ~ $false ) )
= $true )
| ( SV11 = $false )
| ( SV11 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[870]) ).
thf(896,plain,
! [SV11: $o] :
( ( $false = $false )
| ( ( ~ ( ~ SV11
| ~ $false ) )
= $true )
| ( SV11 = $false )
| ( SV11 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[870]) ).
thf(897,plain,
! [SV11: $o] :
( ( SV11 = $false )
| ( ( ~ ( ~ SV11
| ~ $false ) )
= $true )
| ( SV11 = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[871]) ).
thf(898,plain,
! [SV11: $o] :
( ( $false = $false )
| ( ( ~ ( ~ SV11
| ~ $false ) )
= $true )
| ( SV11 = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[871]) ).
thf(899,plain,
! [SV11: $o] :
( ( SV11 = $false )
| ( ( ~ ( ~ SV11
| ~ $false ) )
= $true )
| ( $true = $false )
| ( SV11 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[872]) ).
thf(900,plain,
! [SV11: $o] :
( ( $false = $false )
| ( ( ~ ( ~ SV11
| ~ $false ) )
= $true )
| ( $true = $false )
| ( SV11 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[872]) ).
thf(901,plain,
! [SV11: $o] :
( ( SV11 = $false )
| ( ( ~ ( ~ SV11
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[873]) ).
thf(902,plain,
! [SV11: $o] :
( ( $false = $false )
| ( ( ~ ( ~ SV11
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[873]) ).
thf(903,plain,
( ( $true = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[874]) ).
thf(904,plain,
( ( $false = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[874]) ).
thf(905,plain,
( ( $true = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[875]) ).
thf(906,plain,
( ( $false = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[875]) ).
thf(907,plain,
( ( $true = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[876]) ).
thf(908,plain,
( ( $false = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[876]) ).
thf(909,plain,
( ( $true = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[877]) ).
thf(910,plain,
( ( $false = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[877]) ).
thf(911,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[878]) ).
thf(912,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[878]) ).
thf(913,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[879]) ).
thf(914,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[879]) ).
thf(915,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[880]) ).
thf(916,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[880]) ).
thf(917,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[881]) ).
thf(918,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[881]) ).
thf(919,plain,
! [SV14: set_b,SV63: b] :
( ( ( ~ ( member_b @ ( sK9_SY79 @ SV63 @ SV14 ) @ SV14 ) )
= $false )
| ( ( member_b @ SV63 @ SV14 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[882]) ).
thf(920,plain,
! [SV52: set_b,SV37: set_b,SV16: b] :
( ( ( ( insert_b @ SV16 @ SV37 )
= ( insert_b @ SV16 @ SV52 ) )
= $false )
| ( ( ~ ( ( ( insert_b @ SV16 @ SV37 )
!= ( insert_b @ SV16 @ SV52 ) )
| ( SV37 != SV52 ) ) )
= $true )
| ( ( member_b @ SV16 @ SV52 )
= $true )
| ( ( member_b @ SV16 @ SV37 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[885]) ).
thf(921,plain,
! [SV16: b,SV52: set_b,SV37: set_b] :
( ( ( SV37 = SV52 )
= $false )
| ( ( ~ ( ( ( insert_b @ SV16 @ SV37 )
!= ( insert_b @ SV16 @ SV52 ) )
| ( SV37 != SV52 ) ) )
= $true )
| ( ( member_b @ SV16 @ SV52 )
= $true )
| ( ( member_b @ SV16 @ SV37 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[885]) ).
thf(922,plain,
! [SV60: set_b,SV56: b,SV44: set_b,SV24: b] :
( ( ( ( ( insert_b @ SV24 @ SV44 )
= ( insert_b @ SV56 @ SV60 ) )
| ~ ( ~ ( ( SV24 != SV56 )
| ( SV44 = SV60 ) )
| ~ ( ~ ( ( SV24 != SV56 ) )
| ~ ! [SY127: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV44
!= ( insert_b @ SV56 @ SY127 ) )
| ~ ~ ( member_b @ SV56 @ SY127 ) )
| ( SV60
!= ( insert_b @ SV24 @ SY127 ) ) )
| ~ ~ ( member_b @ SV24 @ SY127 ) ) ) ) )
= $false )
| ( ( ~ ( ( ( insert_b @ SV24 @ SV44 )
!= ( insert_b @ SV56 @ SV60 ) )
| ~ ~ ( ~ ( ( SV24 != SV56 )
| ( SV44 = SV60 ) )
| ~ ( ~ ( ( SV24 != SV56 ) )
| ~ ! [SY127: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV44
!= ( insert_b @ SV56 @ SY127 ) )
| ~ ~ ( member_b @ SV56 @ SY127 ) )
| ( SV60
!= ( insert_b @ SV24 @ SY127 ) ) )
| ~ ~ ( member_b @ SV24 @ SY127 ) ) ) ) ) )
= $true )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[886]) ).
thf(923,plain,
! [SV61: set_b,SV46: set_b,SV66: b] :
( ( ( ~ ( member_b @ SV66 @ SV46 ) )
= $true )
| ( ( member_b @ SV66 @ SV61 )
= $true )
| ( ( ord_less_eq_set_b @ SV46 @ SV61 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[887]) ).
thf(924,plain,
! [SV61: set_b,SV46: set_b] :
( ( ( ~ ( ord_less_eq_set_b @ SV46 @ SV61 ) )
= $false )
| ( ( member_b @ ( sK6_SY128 @ SV61 @ SV46 ) @ SV46 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[888]) ).
thf(925,plain,
! [SV61: set_b,SV46: set_b] :
( ( ( ~ ! [SY128: b] :
( ~ ( member_b @ SY128 @ SV46 )
| ( member_b @ SY128 @ SV61 ) ) )
= $false )
| ( ( member_b @ ( sK6_SY128 @ SV61 @ SV46 ) @ SV46 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[888]) ).
thf(926,plain,
! [SV61: set_b,SV46: set_b] :
( ( ( ord_less_eq_set_b @ SV46 @ SV61 )
= $true )
| ( ( member_b @ ( sK6_SY128 @ SV61 @ SV46 ) @ SV61 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[889]) ).
thf(927,plain,
! [SV61: set_b,SV46: set_b] :
( ( ( ! [SY128: b] :
( ~ ( member_b @ SY128 @ SV46 )
| ( member_b @ SY128 @ SV61 ) ) )
= $true )
| ( ( member_b @ ( sK6_SY128 @ SV61 @ SV46 ) @ SV61 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[890]) ).
thf(928,plain,
! [SV62: set_b,SV48: set_b,SV67: b] :
( ( ( ~ ( member_b @ SV67 @ SV48 ) )
= $true )
| ( ( member_b @ SV67 @ SV62 )
= $true )
| ( ( ord_less_eq_set_b @ SV48 @ SV62 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[891]) ).
thf(929,plain,
! [SV62: set_b,SV48: set_b] :
( ( ( ~ ( ord_less_eq_set_b @ SV48 @ SV62 ) )
= $false )
| ( ( member_b @ ( sK7_SY129 @ SV62 @ SV48 ) @ SV48 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[892]) ).
thf(930,plain,
! [SV62: set_b,SV48: set_b] :
( ( ( ~ ! [SY129: b] :
( ~ ( member_b @ SY129 @ SV48 )
| ( member_b @ SY129 @ SV62 ) ) )
= $false )
| ( ( member_b @ ( sK7_SY129 @ SV62 @ SV48 ) @ SV48 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[892]) ).
thf(931,plain,
! [SV62: set_b,SV48: set_b] :
( ( ( ord_less_eq_set_b @ SV48 @ SV62 )
= $true )
| ( ( member_b @ ( sK7_SY129 @ SV62 @ SV48 ) @ SV62 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[893]) ).
thf(932,plain,
! [SV62: set_b,SV48: set_b] :
( ( ( ! [SY129: b] :
( ~ ( member_b @ SY129 @ SV48 )
| ( member_b @ SY129 @ SV62 ) ) )
= $true )
| ( ( member_b @ ( sK7_SY129 @ SV62 @ SV48 ) @ SV62 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[894]) ).
thf(933,plain,
! [SV11: $o] :
( ( ( ~ SV11
| ~ $false )
= $false )
| ( SV11 = $false )
| ( SV11 = $false )
| ( SV11 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[895]) ).
thf(934,plain,
! [SV11: $o] :
( ( ( ~ SV11
| ~ $false )
= $false )
| ( $false = $false )
| ( SV11 = $false )
| ( SV11 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[896]) ).
thf(935,plain,
! [SV11: $o] :
( ( ( ~ SV11
| ~ $false )
= $false )
| ( SV11 = $false )
| ( SV11 = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[897]) ).
thf(936,plain,
! [SV11: $o] :
( ( ( ~ SV11
| ~ $false )
= $false )
| ( $false = $false )
| ( SV11 = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[898]) ).
thf(937,plain,
! [SV11: $o] :
( ( ( ~ SV11
| ~ $false )
= $false )
| ( SV11 = $false )
| ( $true = $false )
| ( SV11 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[899]) ).
thf(938,plain,
! [SV11: $o] :
( ( ( ~ SV11
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( SV11 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[900]) ).
thf(939,plain,
! [SV11: $o] :
( ( ( ~ SV11
| ~ $false )
= $false )
| ( SV11 = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[901]) ).
thf(940,plain,
! [SV11: $o] :
( ( ( ~ SV11
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[902]) ).
thf(941,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[903]) ).
thf(942,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[904]) ).
thf(943,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[905]) ).
thf(944,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[906]) ).
thf(945,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[907]) ).
thf(946,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[908]) ).
thf(947,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[909]) ).
thf(948,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[910]) ).
thf(949,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[911]) ).
thf(950,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[912]) ).
thf(951,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[913]) ).
thf(952,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[914]) ).
thf(953,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[915]) ).
thf(954,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[916]) ).
thf(955,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[917]) ).
thf(956,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[918]) ).
thf(957,plain,
! [SV14: set_b,SV63: b] :
( ( ( member_b @ ( sK9_SY79 @ SV63 @ SV14 ) @ SV14 )
= $true )
| ( ( member_b @ SV63 @ SV14 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[919]) ).
thf(958,plain,
! [SV52: set_b,SV37: set_b,SV16: b] :
( ( ( ( ( insert_b @ SV16 @ SV37 )
!= ( insert_b @ SV16 @ SV52 ) )
| ( SV37 != SV52 ) )
= $false )
| ( ( ( insert_b @ SV16 @ SV37 )
= ( insert_b @ SV16 @ SV52 ) )
= $false )
| ( ( member_b @ SV16 @ SV52 )
= $true )
| ( ( member_b @ SV16 @ SV37 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[920]) ).
thf(959,plain,
! [SV52: set_b,SV37: set_b,SV16: b] :
( ( ( ( ( insert_b @ SV16 @ SV37 )
!= ( insert_b @ SV16 @ SV52 ) )
| ( SV37 != SV52 ) )
= $false )
| ( ( SV37 = SV52 )
= $false )
| ( ( member_b @ SV16 @ SV52 )
= $true )
| ( ( member_b @ SV16 @ SV37 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[921]) ).
thf(960,plain,
! [SV60: set_b,SV56: b,SV44: set_b,SV24: b] :
( ( ( ( insert_b @ SV24 @ SV44 )
= ( insert_b @ SV56 @ SV60 ) )
= $false )
| ( ( ~ ( ( ( insert_b @ SV24 @ SV44 )
!= ( insert_b @ SV56 @ SV60 ) )
| ~ ~ ( ~ ( ( SV24 != SV56 )
| ( SV44 = SV60 ) )
| ~ ( ~ ( ( SV24 != SV56 ) )
| ~ ! [SY127: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV44
!= ( insert_b @ SV56 @ SY127 ) )
| ~ ~ ( member_b @ SV56 @ SY127 ) )
| ( SV60
!= ( insert_b @ SV24 @ SY127 ) ) )
| ~ ~ ( member_b @ SV24 @ SY127 ) ) ) ) ) )
= $true )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[922]) ).
thf(961,plain,
! [SV60: set_b,SV44: set_b,SV56: b,SV24: b] :
( ( ( ~ ( ~ ( ( SV24 != SV56 )
| ( SV44 = SV60 ) )
| ~ ( ~ ( ( SV24 != SV56 ) )
| ~ ! [SY127: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV44
!= ( insert_b @ SV56 @ SY127 ) )
| ~ ~ ( member_b @ SV56 @ SY127 ) )
| ( SV60
!= ( insert_b @ SV24 @ SY127 ) ) )
| ~ ~ ( member_b @ SV24 @ SY127 ) ) ) ) )
= $false )
| ( ( ~ ( ( ( insert_b @ SV24 @ SV44 )
!= ( insert_b @ SV56 @ SV60 ) )
| ~ ~ ( ~ ( ( SV24 != SV56 )
| ( SV44 = SV60 ) )
| ~ ( ~ ( ( SV24 != SV56 ) )
| ~ ! [SY127: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV44
!= ( insert_b @ SV56 @ SY127 ) )
| ~ ~ ( member_b @ SV56 @ SY127 ) )
| ( SV60
!= ( insert_b @ SV24 @ SY127 ) ) )
| ~ ~ ( member_b @ SV24 @ SY127 ) ) ) ) ) )
= $true )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[922]) ).
thf(962,plain,
! [SV61: set_b,SV46: set_b,SV66: b] :
( ( ( member_b @ SV66 @ SV46 )
= $false )
| ( ( member_b @ SV66 @ SV61 )
= $true )
| ( ( ord_less_eq_set_b @ SV46 @ SV61 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[923]) ).
thf(963,plain,
! [SV61: set_b,SV46: set_b] :
( ( ( ord_less_eq_set_b @ SV46 @ SV61 )
= $true )
| ( ( member_b @ ( sK6_SY128 @ SV61 @ SV46 ) @ SV46 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[924]) ).
thf(964,plain,
! [SV61: set_b,SV46: set_b] :
( ( ( ! [SY128: b] :
( ~ ( member_b @ SY128 @ SV46 )
| ( member_b @ SY128 @ SV61 ) ) )
= $true )
| ( ( member_b @ ( sK6_SY128 @ SV61 @ SV46 ) @ SV46 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[925]) ).
thf(965,plain,
! [SV61: set_b,SV46: set_b,SV68: b] :
( ( ( ~ ( member_b @ SV68 @ SV46 )
| ( member_b @ SV68 @ SV61 ) )
= $true )
| ( ( member_b @ ( sK6_SY128 @ SV61 @ SV46 ) @ SV61 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[927]) ).
thf(966,plain,
! [SV62: set_b,SV48: set_b,SV67: b] :
( ( ( member_b @ SV67 @ SV48 )
= $false )
| ( ( member_b @ SV67 @ SV62 )
= $true )
| ( ( ord_less_eq_set_b @ SV48 @ SV62 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[928]) ).
thf(967,plain,
! [SV62: set_b,SV48: set_b] :
( ( ( ord_less_eq_set_b @ SV48 @ SV62 )
= $true )
| ( ( member_b @ ( sK7_SY129 @ SV62 @ SV48 ) @ SV48 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[929]) ).
thf(968,plain,
! [SV62: set_b,SV48: set_b] :
( ( ( ! [SY129: b] :
( ~ ( member_b @ SY129 @ SV48 )
| ( member_b @ SY129 @ SV62 ) ) )
= $true )
| ( ( member_b @ ( sK7_SY129 @ SV62 @ SV48 ) @ SV48 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[930]) ).
thf(969,plain,
! [SV62: set_b,SV48: set_b,SV69: b] :
( ( ( ~ ( member_b @ SV69 @ SV48 )
| ( member_b @ SV69 @ SV62 ) )
= $true )
| ( ( member_b @ ( sK7_SY129 @ SV62 @ SV48 ) @ SV62 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[932]) ).
thf(970,plain,
! [SV11: $o] :
( ( ( ~ SV11 ) = $false )
| ( SV11 = $false )
| ( SV11 = $false )
| ( SV11 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[933]) ).
thf(971,plain,
! [SV11: $o] :
( ( ( ~ $false ) = $false )
| ( SV11 = $false )
| ( SV11 = $false )
| ( SV11 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[933]) ).
thf(972,plain,
! [SV11: $o] :
( ( ( ~ SV11 ) = $false )
| ( $false = $false )
| ( SV11 = $false )
| ( SV11 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[934]) ).
thf(973,plain,
! [SV11: $o] :
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( SV11 = $false )
| ( SV11 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[934]) ).
thf(974,plain,
! [SV11: $o] :
( ( ( ~ SV11 ) = $false )
| ( SV11 = $false )
| ( SV11 = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[935]) ).
thf(975,plain,
! [SV11: $o] :
( ( ( ~ $false ) = $false )
| ( SV11 = $false )
| ( SV11 = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[935]) ).
thf(976,plain,
! [SV11: $o] :
( ( ( ~ SV11 ) = $false )
| ( $false = $false )
| ( SV11 = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[936]) ).
thf(977,plain,
! [SV11: $o] :
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( SV11 = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[936]) ).
thf(978,plain,
! [SV11: $o] :
( ( ( ~ SV11 ) = $false )
| ( SV11 = $false )
| ( $true = $false )
| ( SV11 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[937]) ).
thf(979,plain,
! [SV11: $o] :
( ( ( ~ $false ) = $false )
| ( SV11 = $false )
| ( $true = $false )
| ( SV11 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[937]) ).
thf(980,plain,
! [SV11: $o] :
( ( ( ~ SV11 ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( SV11 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[938]) ).
thf(981,plain,
! [SV11: $o] :
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( SV11 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[938]) ).
thf(982,plain,
! [SV11: $o] :
( ( ( ~ SV11 ) = $false )
| ( SV11 = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[939]) ).
thf(983,plain,
! [SV11: $o] :
( ( ( ~ $false ) = $false )
| ( SV11 = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[939]) ).
thf(984,plain,
! [SV11: $o] :
( ( ( ~ SV11 ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[940]) ).
thf(985,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[940]) ).
thf(986,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[941]) ).
thf(987,plain,
( ( ( ~ $false ) = $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[941]) ).
thf(988,plain,
( ( ( ~ $true ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[942]) ).
thf(989,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[942]) ).
thf(990,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[943]) ).
thf(991,plain,
( ( ( ~ $false ) = $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[943]) ).
thf(992,plain,
( ( ( ~ $true ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[944]) ).
thf(993,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[944]) ).
thf(994,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[945]) ).
thf(995,plain,
( ( ( ~ $false ) = $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[945]) ).
thf(996,plain,
( ( ( ~ $true ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[946]) ).
thf(997,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[946]) ).
thf(998,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[947]) ).
thf(999,plain,
( ( ( ~ $false ) = $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[947]) ).
thf(1000,plain,
( ( ( ~ $true ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[948]) ).
thf(1001,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[948]) ).
thf(1002,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[949]) ).
thf(1003,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[949]) ).
thf(1004,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[950]) ).
thf(1005,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[950]) ).
thf(1006,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[951]) ).
thf(1007,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[951]) ).
thf(1008,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[952]) ).
thf(1009,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[952]) ).
thf(1010,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[953]) ).
thf(1011,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[953]) ).
thf(1012,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[954]) ).
thf(1013,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[954]) ).
thf(1014,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[955]) ).
thf(1015,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[955]) ).
thf(1016,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[956]) ).
thf(1017,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[956]) ).
thf(1018,plain,
! [SV52: set_b,SV37: set_b,SV16: b] :
( ( ( ( insert_b @ SV16 @ SV37 )
!= ( insert_b @ SV16 @ SV52 ) )
= $false )
| ( ( ( insert_b @ SV16 @ SV37 )
= ( insert_b @ SV16 @ SV52 ) )
= $false )
| ( ( member_b @ SV16 @ SV52 )
= $true )
| ( ( member_b @ SV16 @ SV37 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[958]) ).
thf(1019,plain,
! [SV16: b,SV52: set_b,SV37: set_b] :
( ( ( SV37 != SV52 )
= $false )
| ( ( ( insert_b @ SV16 @ SV37 )
= ( insert_b @ SV16 @ SV52 ) )
= $false )
| ( ( member_b @ SV16 @ SV52 )
= $true )
| ( ( member_b @ SV16 @ SV37 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[958]) ).
thf(1020,plain,
! [SV52: set_b,SV37: set_b,SV16: b] :
( ( ( ( insert_b @ SV16 @ SV37 )
!= ( insert_b @ SV16 @ SV52 ) )
= $false )
| ( ( SV37 = SV52 )
= $false )
| ( ( member_b @ SV16 @ SV52 )
= $true )
| ( ( member_b @ SV16 @ SV37 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[959]) ).
thf(1021,plain,
! [SV16: b,SV52: set_b,SV37: set_b] :
( ( ( SV37 != SV52 )
= $false )
| ( ( SV37 = SV52 )
= $false )
| ( ( member_b @ SV16 @ SV52 )
= $true )
| ( ( member_b @ SV16 @ SV37 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[959]) ).
thf(1022,plain,
! [SV60: set_b,SV56: b,SV44: set_b,SV24: b] :
( ( ( ( ( insert_b @ SV24 @ SV44 )
!= ( insert_b @ SV56 @ SV60 ) )
| ~ ~ ( ~ ( ( SV24 != SV56 )
| ( SV44 = SV60 ) )
| ~ ( ~ ( ( SV24 != SV56 ) )
| ~ ! [SY127: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV44
!= ( insert_b @ SV56 @ SY127 ) )
| ~ ~ ( member_b @ SV56 @ SY127 ) )
| ( SV60
!= ( insert_b @ SV24 @ SY127 ) ) )
| ~ ~ ( member_b @ SV24 @ SY127 ) ) ) ) )
= $false )
| ( ( ( insert_b @ SV24 @ SV44 )
= ( insert_b @ SV56 @ SV60 ) )
= $false )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[960]) ).
thf(1023,plain,
! [SV60: set_b,SV44: set_b,SV56: b,SV24: b] :
( ( ( ~ ( ( SV24 != SV56 )
| ( SV44 = SV60 ) )
| ~ ( ~ ( ( SV24 != SV56 ) )
| ~ ! [SY127: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV44
!= ( insert_b @ SV56 @ SY127 ) )
| ~ ~ ( member_b @ SV56 @ SY127 ) )
| ( SV60
!= ( insert_b @ SV24 @ SY127 ) ) )
| ~ ~ ( member_b @ SV24 @ SY127 ) ) ) )
= $true )
| ( ( ~ ( ( ( insert_b @ SV24 @ SV44 )
!= ( insert_b @ SV56 @ SV60 ) )
| ~ ~ ( ~ ( ( SV24 != SV56 )
| ( SV44 = SV60 ) )
| ~ ( ~ ( ( SV24 != SV56 ) )
| ~ ! [SY127: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV44
!= ( insert_b @ SV56 @ SY127 ) )
| ~ ~ ( member_b @ SV56 @ SY127 ) )
| ( SV60
!= ( insert_b @ SV24 @ SY127 ) ) )
| ~ ~ ( member_b @ SV24 @ SY127 ) ) ) ) ) )
= $true )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[961]) ).
thf(1024,plain,
! [SV61: set_b,SV46: set_b,SV70: b] :
( ( ( ~ ( member_b @ SV70 @ SV46 )
| ( member_b @ SV70 @ SV61 ) )
= $true )
| ( ( member_b @ ( sK6_SY128 @ SV61 @ SV46 ) @ SV46 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[964]) ).
thf(1025,plain,
! [SV61: set_b,SV46: set_b,SV68: b] :
( ( ( ~ ( member_b @ SV68 @ SV46 ) )
= $true )
| ( ( member_b @ SV68 @ SV61 )
= $true )
| ( ( member_b @ ( sK6_SY128 @ SV61 @ SV46 ) @ SV61 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[965]) ).
thf(1026,plain,
! [SV62: set_b,SV48: set_b,SV71: b] :
( ( ( ~ ( member_b @ SV71 @ SV48 )
| ( member_b @ SV71 @ SV62 ) )
= $true )
| ( ( member_b @ ( sK7_SY129 @ SV62 @ SV48 ) @ SV48 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[968]) ).
thf(1027,plain,
! [SV62: set_b,SV48: set_b,SV69: b] :
( ( ( ~ ( member_b @ SV69 @ SV48 ) )
= $true )
| ( ( member_b @ SV69 @ SV62 )
= $true )
| ( ( member_b @ ( sK7_SY129 @ SV62 @ SV48 ) @ SV62 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[969]) ).
thf(1028,plain,
! [SV11: $o] :
( ( SV11 = $true )
| ( SV11 = $false )
| ( SV11 = $false )
| ( SV11 = $true ) ),
inference(extcnf_not_neg,[status(thm)],[970]) ).
thf(1029,plain,
! [SV11: $o] :
( ( $false = $true )
| ( SV11 = $false )
| ( SV11 = $false )
| ( SV11 = $true ) ),
inference(extcnf_not_neg,[status(thm)],[971]) ).
thf(1030,plain,
! [SV11: $o] :
( ( SV11 = $true )
| ( $false = $false )
| ( SV11 = $false )
| ( SV11 = $true ) ),
inference(extcnf_not_neg,[status(thm)],[972]) ).
thf(1031,plain,
! [SV11: $o] :
( ( $false = $true )
| ( $false = $false )
| ( SV11 = $false )
| ( SV11 = $true ) ),
inference(extcnf_not_neg,[status(thm)],[973]) ).
thf(1032,plain,
! [SV11: $o] :
( ( SV11 = $true )
| ( SV11 = $false )
| ( SV11 = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[974]) ).
thf(1033,plain,
! [SV11: $o] :
( ( $false = $true )
| ( SV11 = $false )
| ( SV11 = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[975]) ).
thf(1034,plain,
! [SV11: $o] :
( ( SV11 = $true )
| ( $false = $false )
| ( SV11 = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[976]) ).
thf(1035,plain,
! [SV11: $o] :
( ( $false = $true )
| ( $false = $false )
| ( SV11 = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[977]) ).
thf(1036,plain,
! [SV11: $o] :
( ( SV11 = $true )
| ( SV11 = $false )
| ( $true = $false )
| ( SV11 = $true ) ),
inference(extcnf_not_neg,[status(thm)],[978]) ).
thf(1037,plain,
! [SV11: $o] :
( ( $false = $true )
| ( SV11 = $false )
| ( $true = $false )
| ( SV11 = $true ) ),
inference(extcnf_not_neg,[status(thm)],[979]) ).
thf(1038,plain,
! [SV11: $o] :
( ( SV11 = $true )
| ( $false = $false )
| ( $true = $false )
| ( SV11 = $true ) ),
inference(extcnf_not_neg,[status(thm)],[980]) ).
thf(1039,plain,
! [SV11: $o] :
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( SV11 = $true ) ),
inference(extcnf_not_neg,[status(thm)],[981]) ).
thf(1040,plain,
! [SV11: $o] :
( ( SV11 = $true )
| ( SV11 = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[982]) ).
thf(1041,plain,
! [SV11: $o] :
( ( $false = $true )
| ( SV11 = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[983]) ).
thf(1042,plain,
! [SV11: $o] :
( ( SV11 = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[984]) ).
thf(1043,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[985]) ).
thf(1044,plain,
( ( $true = $true )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[986]) ).
thf(1045,plain,
( ( $false = $true )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[987]) ).
thf(1046,plain,
( ( $true = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[988]) ).
thf(1047,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[989]) ).
thf(1048,plain,
( ( $true = $true )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[990]) ).
thf(1049,plain,
( ( $false = $true )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[991]) ).
thf(1050,plain,
( ( $true = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[992]) ).
thf(1051,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[993]) ).
thf(1052,plain,
( ( $true = $true )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[994]) ).
thf(1053,plain,
( ( $false = $true )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[995]) ).
thf(1054,plain,
( ( $true = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[996]) ).
thf(1055,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[997]) ).
thf(1056,plain,
( ( $true = $true )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[998]) ).
thf(1057,plain,
( ( $false = $true )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[999]) ).
thf(1058,plain,
( ( $true = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1000]) ).
thf(1059,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1001]) ).
thf(1060,plain,
( ( $false = $true )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1002]) ).
thf(1061,plain,
( ( $false = $true )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1003]) ).
thf(1062,plain,
( ( $false = $true )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1004]) ).
thf(1063,plain,
( ( $false = $true )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1005]) ).
thf(1064,plain,
( ( $false = $true )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1006]) ).
thf(1065,plain,
( ( $false = $true )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1007]) ).
thf(1066,plain,
( ( $false = $true )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1008]) ).
thf(1067,plain,
( ( $false = $true )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1009]) ).
thf(1068,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1010]) ).
thf(1069,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1011]) ).
thf(1070,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1012]) ).
thf(1071,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1013]) ).
thf(1072,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1014]) ).
thf(1073,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1015]) ).
thf(1074,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1016]) ).
thf(1075,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1017]) ).
thf(1076,plain,
! [SV52: set_b,SV37: set_b,SV16: b] :
( ( ( ( insert_b @ SV16 @ SV37 )
= ( insert_b @ SV16 @ SV52 ) )
= $true )
| ( ( ( insert_b @ SV16 @ SV37 )
= ( insert_b @ SV16 @ SV52 ) )
= $false )
| ( ( member_b @ SV16 @ SV52 )
= $true )
| ( ( member_b @ SV16 @ SV37 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1018]) ).
thf(1077,plain,
! [SV16: b,SV52: set_b,SV37: set_b] :
( ( ( SV37 = SV52 )
= $true )
| ( ( ( insert_b @ SV16 @ SV37 )
= ( insert_b @ SV16 @ SV52 ) )
= $false )
| ( ( member_b @ SV16 @ SV52 )
= $true )
| ( ( member_b @ SV16 @ SV37 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1019]) ).
thf(1078,plain,
! [SV52: set_b,SV37: set_b,SV16: b] :
( ( ( ( insert_b @ SV16 @ SV37 )
= ( insert_b @ SV16 @ SV52 ) )
= $true )
| ( ( SV37 = SV52 )
= $false )
| ( ( member_b @ SV16 @ SV52 )
= $true )
| ( ( member_b @ SV16 @ SV37 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1020]) ).
thf(1079,plain,
! [SV16: b,SV52: set_b,SV37: set_b] :
( ( ( SV37 = SV52 )
= $true )
| ( ( SV37 = SV52 )
= $false )
| ( ( member_b @ SV16 @ SV52 )
= $true )
| ( ( member_b @ SV16 @ SV37 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1021]) ).
thf(1080,plain,
! [SV60: set_b,SV56: b,SV44: set_b,SV24: b] :
( ( ( ( insert_b @ SV24 @ SV44 )
!= ( insert_b @ SV56 @ SV60 ) )
= $false )
| ( ( ( insert_b @ SV24 @ SV44 )
= ( insert_b @ SV56 @ SV60 ) )
= $false )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1022]) ).
thf(1081,plain,
! [SV60: set_b,SV44: set_b,SV56: b,SV24: b] :
( ( ( ~ ~ ( ~ ( ( SV24 != SV56 )
| ( SV44 = SV60 ) )
| ~ ( ~ ( ( SV24 != SV56 ) )
| ~ ! [SY127: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV44
!= ( insert_b @ SV56 @ SY127 ) )
| ~ ~ ( member_b @ SV56 @ SY127 ) )
| ( SV60
!= ( insert_b @ SV24 @ SY127 ) ) )
| ~ ~ ( member_b @ SV24 @ SY127 ) ) ) ) )
= $false )
| ( ( ( insert_b @ SV24 @ SV44 )
= ( insert_b @ SV56 @ SV60 ) )
= $false )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1022]) ).
thf(1082,plain,
! [SV60: set_b,SV44: set_b,SV56: b,SV24: b] :
( ( ( ~ ( ( SV24 != SV56 )
| ( SV44 = SV60 ) ) )
= $true )
| ( ( ~ ( ~ ( ( SV24 != SV56 ) )
| ~ ! [SY127: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV44
!= ( insert_b @ SV56 @ SY127 ) )
| ~ ~ ( member_b @ SV56 @ SY127 ) )
| ( SV60
!= ( insert_b @ SV24 @ SY127 ) ) )
| ~ ~ ( member_b @ SV24 @ SY127 ) ) ) )
= $true )
| ( ( ~ ( ( ( insert_b @ SV24 @ SV44 )
!= ( insert_b @ SV56 @ SV60 ) )
| ~ ~ ( ~ ( ( SV24 != SV56 )
| ( SV44 = SV60 ) )
| ~ ( ~ ( ( SV24 != SV56 ) )
| ~ ! [SY127: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV44
!= ( insert_b @ SV56 @ SY127 ) )
| ~ ~ ( member_b @ SV56 @ SY127 ) )
| ( SV60
!= ( insert_b @ SV24 @ SY127 ) ) )
| ~ ~ ( member_b @ SV24 @ SY127 ) ) ) ) ) )
= $true )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1023]) ).
thf(1083,plain,
! [SV61: set_b,SV46: set_b,SV70: b] :
( ( ( ~ ( member_b @ SV70 @ SV46 ) )
= $true )
| ( ( member_b @ SV70 @ SV61 )
= $true )
| ( ( member_b @ ( sK6_SY128 @ SV61 @ SV46 ) @ SV46 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1024]) ).
thf(1084,plain,
! [SV61: set_b,SV46: set_b,SV68: b] :
( ( ( member_b @ SV68 @ SV46 )
= $false )
| ( ( member_b @ SV68 @ SV61 )
= $true )
| ( ( member_b @ ( sK6_SY128 @ SV61 @ SV46 ) @ SV61 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1025]) ).
thf(1085,plain,
! [SV62: set_b,SV48: set_b,SV71: b] :
( ( ( ~ ( member_b @ SV71 @ SV48 ) )
= $true )
| ( ( member_b @ SV71 @ SV62 )
= $true )
| ( ( member_b @ ( sK7_SY129 @ SV62 @ SV48 ) @ SV48 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1026]) ).
thf(1086,plain,
! [SV62: set_b,SV48: set_b,SV69: b] :
( ( ( member_b @ SV69 @ SV48 )
= $false )
| ( ( member_b @ SV69 @ SV62 )
= $true )
| ( ( member_b @ ( sK7_SY129 @ SV62 @ SV48 ) @ SV62 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1027]) ).
thf(1087,plain,
! [SV60: set_b,SV56: b,SV44: set_b,SV24: b] :
( ( ( ( insert_b @ SV24 @ SV44 )
= ( insert_b @ SV56 @ SV60 ) )
= $true )
| ( ( ( insert_b @ SV24 @ SV44 )
= ( insert_b @ SV56 @ SV60 ) )
= $false )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1080]) ).
thf(1088,plain,
! [SV60: set_b,SV44: set_b,SV56: b,SV24: b] :
( ( ( ~ ( ~ ( ( SV24 != SV56 )
| ( SV44 = SV60 ) )
| ~ ( ~ ( ( SV24 != SV56 ) )
| ~ ! [SY127: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV44
!= ( insert_b @ SV56 @ SY127 ) )
| ~ ~ ( member_b @ SV56 @ SY127 ) )
| ( SV60
!= ( insert_b @ SV24 @ SY127 ) ) )
| ~ ~ ( member_b @ SV24 @ SY127 ) ) ) ) )
= $true )
| ( ( ( insert_b @ SV24 @ SV44 )
= ( insert_b @ SV56 @ SV60 ) )
= $false )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1081]) ).
thf(1089,plain,
! [SV60: set_b,SV44: set_b,SV56: b,SV24: b] :
( ( ( ( SV24 != SV56 )
| ( SV44 = SV60 ) )
= $false )
| ( ( ~ ( ~ ( ( SV24 != SV56 ) )
| ~ ! [SY127: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV44
!= ( insert_b @ SV56 @ SY127 ) )
| ~ ~ ( member_b @ SV56 @ SY127 ) )
| ( SV60
!= ( insert_b @ SV24 @ SY127 ) ) )
| ~ ~ ( member_b @ SV24 @ SY127 ) ) ) )
= $true )
| ( ( ~ ( ( ( insert_b @ SV24 @ SV44 )
!= ( insert_b @ SV56 @ SV60 ) )
| ~ ~ ( ~ ( ( SV24 != SV56 )
| ( SV44 = SV60 ) )
| ~ ( ~ ( ( SV24 != SV56 ) )
| ~ ! [SY127: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV44
!= ( insert_b @ SV56 @ SY127 ) )
| ~ ~ ( member_b @ SV56 @ SY127 ) )
| ( SV60
!= ( insert_b @ SV24 @ SY127 ) ) )
| ~ ~ ( member_b @ SV24 @ SY127 ) ) ) ) ) )
= $true )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1082]) ).
thf(1090,plain,
! [SV61: set_b,SV46: set_b,SV70: b] :
( ( ( member_b @ SV70 @ SV46 )
= $false )
| ( ( member_b @ SV70 @ SV61 )
= $true )
| ( ( member_b @ ( sK6_SY128 @ SV61 @ SV46 ) @ SV46 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1083]) ).
thf(1091,plain,
! [SV62: set_b,SV48: set_b,SV71: b] :
( ( ( member_b @ SV71 @ SV48 )
= $false )
| ( ( member_b @ SV71 @ SV62 )
= $true )
| ( ( member_b @ ( sK7_SY129 @ SV62 @ SV48 ) @ SV48 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1085]) ).
thf(1092,plain,
! [SV60: set_b,SV44: set_b,SV56: b,SV24: b] :
( ( ( ~ ( ( SV24 != SV56 )
| ( SV44 = SV60 ) )
| ~ ( ~ ( ( SV24 != SV56 ) )
| ~ ! [SY127: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV44
!= ( insert_b @ SV56 @ SY127 ) )
| ~ ~ ( member_b @ SV56 @ SY127 ) )
| ( SV60
!= ( insert_b @ SV24 @ SY127 ) ) )
| ~ ~ ( member_b @ SV24 @ SY127 ) ) ) )
= $false )
| ( ( ( insert_b @ SV24 @ SV44 )
= ( insert_b @ SV56 @ SV60 ) )
= $false )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1088]) ).
thf(1093,plain,
! [SV60: set_b,SV44: set_b,SV56: b,SV24: b] :
( ( ( SV24 != SV56 )
= $false )
| ( ( ~ ( ~ ( ( SV24 != SV56 ) )
| ~ ! [SY127: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV44
!= ( insert_b @ SV56 @ SY127 ) )
| ~ ~ ( member_b @ SV56 @ SY127 ) )
| ( SV60
!= ( insert_b @ SV24 @ SY127 ) ) )
| ~ ~ ( member_b @ SV24 @ SY127 ) ) ) )
= $true )
| ( ( ~ ( ( ( insert_b @ SV24 @ SV44 )
!= ( insert_b @ SV56 @ SV60 ) )
| ~ ~ ( ~ ( ( SV24 != SV56 )
| ( SV44 = SV60 ) )
| ~ ( ~ ( ( SV24 != SV56 ) )
| ~ ! [SY127: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV44
!= ( insert_b @ SV56 @ SY127 ) )
| ~ ~ ( member_b @ SV56 @ SY127 ) )
| ( SV60
!= ( insert_b @ SV24 @ SY127 ) ) )
| ~ ~ ( member_b @ SV24 @ SY127 ) ) ) ) ) )
= $true )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1089]) ).
thf(1094,plain,
! [SV56: b,SV24: b,SV60: set_b,SV44: set_b] :
( ( ( SV44 = SV60 )
= $false )
| ( ( ~ ( ~ ( ( SV24 != SV56 ) )
| ~ ! [SY127: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV44
!= ( insert_b @ SV56 @ SY127 ) )
| ~ ~ ( member_b @ SV56 @ SY127 ) )
| ( SV60
!= ( insert_b @ SV24 @ SY127 ) ) )
| ~ ~ ( member_b @ SV24 @ SY127 ) ) ) )
= $true )
| ( ( ~ ( ( ( insert_b @ SV24 @ SV44 )
!= ( insert_b @ SV56 @ SV60 ) )
| ~ ~ ( ~ ( ( SV24 != SV56 )
| ( SV44 = SV60 ) )
| ~ ( ~ ( ( SV24 != SV56 ) )
| ~ ! [SY127: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV44
!= ( insert_b @ SV56 @ SY127 ) )
| ~ ~ ( member_b @ SV56 @ SY127 ) )
| ( SV60
!= ( insert_b @ SV24 @ SY127 ) ) )
| ~ ~ ( member_b @ SV24 @ SY127 ) ) ) ) ) )
= $true )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1089]) ).
thf(1095,plain,
! [SV60: set_b,SV44: set_b,SV56: b,SV24: b] :
( ( ( ~ ( ( SV24 != SV56 )
| ( SV44 = SV60 ) ) )
= $false )
| ( ( ( insert_b @ SV24 @ SV44 )
= ( insert_b @ SV56 @ SV60 ) )
= $false )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1092]) ).
thf(1096,plain,
! [SV60: set_b,SV44: set_b,SV56: b,SV24: b] :
( ( ( ~ ( ~ ( ( SV24 != SV56 ) )
| ~ ! [SY127: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV44
!= ( insert_b @ SV56 @ SY127 ) )
| ~ ~ ( member_b @ SV56 @ SY127 ) )
| ( SV60
!= ( insert_b @ SV24 @ SY127 ) ) )
| ~ ~ ( member_b @ SV24 @ SY127 ) ) ) )
= $false )
| ( ( ( insert_b @ SV24 @ SV44 )
= ( insert_b @ SV56 @ SV60 ) )
= $false )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1092]) ).
thf(1097,plain,
! [SV60: set_b,SV44: set_b,SV56: b,SV24: b] :
( ( ( SV24 = SV56 )
= $true )
| ( ( ~ ( ~ ( ( SV24 != SV56 ) )
| ~ ! [SY127: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV44
!= ( insert_b @ SV56 @ SY127 ) )
| ~ ~ ( member_b @ SV56 @ SY127 ) )
| ( SV60
!= ( insert_b @ SV24 @ SY127 ) ) )
| ~ ~ ( member_b @ SV24 @ SY127 ) ) ) )
= $true )
| ( ( ~ ( ( ( insert_b @ SV24 @ SV44 )
!= ( insert_b @ SV56 @ SV60 ) )
| ~ ~ ( ~ ( ( SV24 != SV56 )
| ( SV44 = SV60 ) )
| ~ ( ~ ( ( SV24 != SV56 ) )
| ~ ! [SY127: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV44
!= ( insert_b @ SV56 @ SY127 ) )
| ~ ~ ( member_b @ SV56 @ SY127 ) )
| ( SV60
!= ( insert_b @ SV24 @ SY127 ) ) )
| ~ ~ ( member_b @ SV24 @ SY127 ) ) ) ) ) )
= $true )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1093]) ).
thf(1098,plain,
! [SV60: set_b,SV44: set_b,SV56: b,SV24: b] :
( ( ( ~ ( ( SV24 != SV56 ) )
| ~ ! [SY127: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV44
!= ( insert_b @ SV56 @ SY127 ) )
| ~ ~ ( member_b @ SV56 @ SY127 ) )
| ( SV60
!= ( insert_b @ SV24 @ SY127 ) ) )
| ~ ~ ( member_b @ SV24 @ SY127 ) ) )
= $false )
| ( ( SV44 = SV60 )
= $false )
| ( ( ~ ( ( ( insert_b @ SV24 @ SV44 )
!= ( insert_b @ SV56 @ SV60 ) )
| ~ ~ ( ~ ( ( SV24 != SV56 )
| ( SV44 = SV60 ) )
| ~ ( ~ ( ( SV24 != SV56 ) )
| ~ ! [SY127: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV44
!= ( insert_b @ SV56 @ SY127 ) )
| ~ ~ ( member_b @ SV56 @ SY127 ) )
| ( SV60
!= ( insert_b @ SV24 @ SY127 ) ) )
| ~ ~ ( member_b @ SV24 @ SY127 ) ) ) ) ) )
= $true )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1094]) ).
thf(1099,plain,
! [SV60: set_b,SV44: set_b,SV56: b,SV24: b] :
( ( ( ( SV24 != SV56 )
| ( SV44 = SV60 ) )
= $true )
| ( ( ( insert_b @ SV24 @ SV44 )
= ( insert_b @ SV56 @ SV60 ) )
= $false )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1095]) ).
thf(1100,plain,
! [SV60: set_b,SV44: set_b,SV56: b,SV24: b] :
( ( ( ~ ( ( SV24 != SV56 ) )
| ~ ! [SY127: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV44
!= ( insert_b @ SV56 @ SY127 ) )
| ~ ~ ( member_b @ SV56 @ SY127 ) )
| ( SV60
!= ( insert_b @ SV24 @ SY127 ) ) )
| ~ ~ ( member_b @ SV24 @ SY127 ) ) )
= $true )
| ( ( ( insert_b @ SV24 @ SV44 )
= ( insert_b @ SV56 @ SV60 ) )
= $false )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1096]) ).
thf(1101,plain,
! [SV60: set_b,SV44: set_b,SV56: b,SV24: b] :
( ( ( ~ ( ( SV24 != SV56 ) )
| ~ ! [SY127: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV44
!= ( insert_b @ SV56 @ SY127 ) )
| ~ ~ ( member_b @ SV56 @ SY127 ) )
| ( SV60
!= ( insert_b @ SV24 @ SY127 ) ) )
| ~ ~ ( member_b @ SV24 @ SY127 ) ) )
= $false )
| ( ( SV24 = SV56 )
= $true )
| ( ( ~ ( ( ( insert_b @ SV24 @ SV44 )
!= ( insert_b @ SV56 @ SV60 ) )
| ~ ~ ( ~ ( ( SV24 != SV56 )
| ( SV44 = SV60 ) )
| ~ ( ~ ( ( SV24 != SV56 ) )
| ~ ! [SY127: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV44
!= ( insert_b @ SV56 @ SY127 ) )
| ~ ~ ( member_b @ SV56 @ SY127 ) )
| ( SV60
!= ( insert_b @ SV24 @ SY127 ) ) )
| ~ ~ ( member_b @ SV24 @ SY127 ) ) ) ) ) )
= $true )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1097]) ).
thf(1102,plain,
! [SV60: set_b,SV44: set_b,SV56: b,SV24: b] :
( ( ( ~ ( ( SV24 != SV56 ) ) )
= $false )
| ( ( SV44 = SV60 )
= $false )
| ( ( ~ ( ( ( insert_b @ SV24 @ SV44 )
!= ( insert_b @ SV56 @ SV60 ) )
| ~ ~ ( ~ ( ( SV24 != SV56 )
| ( SV44 = SV60 ) )
| ~ ( ~ ( ( SV24 != SV56 ) )
| ~ ! [SY127: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV44
!= ( insert_b @ SV56 @ SY127 ) )
| ~ ~ ( member_b @ SV56 @ SY127 ) )
| ( SV60
!= ( insert_b @ SV24 @ SY127 ) ) )
| ~ ~ ( member_b @ SV24 @ SY127 ) ) ) ) ) )
= $true )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1098]) ).
thf(1103,plain,
! [SV24: b,SV60: set_b,SV56: b,SV44: set_b] :
( ( ( ~ ! [SY127: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV44
!= ( insert_b @ SV56 @ SY127 ) )
| ~ ~ ( member_b @ SV56 @ SY127 ) )
| ( SV60
!= ( insert_b @ SV24 @ SY127 ) ) )
| ~ ~ ( member_b @ SV24 @ SY127 ) ) )
= $false )
| ( ( SV44 = SV60 )
= $false )
| ( ( ~ ( ( ( insert_b @ SV24 @ SV44 )
!= ( insert_b @ SV56 @ SV60 ) )
| ~ ~ ( ~ ( ( SV24 != SV56 )
| ( SV44 = SV60 ) )
| ~ ( ~ ( ( SV24 != SV56 ) )
| ~ ! [SY127: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV44
!= ( insert_b @ SV56 @ SY127 ) )
| ~ ~ ( member_b @ SV56 @ SY127 ) )
| ( SV60
!= ( insert_b @ SV24 @ SY127 ) ) )
| ~ ~ ( member_b @ SV24 @ SY127 ) ) ) ) ) )
= $true )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1098]) ).
thf(1104,plain,
! [SV60: set_b,SV44: set_b,SV56: b,SV24: b] :
( ( ( SV24 != SV56 )
= $true )
| ( ( SV44 = SV60 )
= $true )
| ( ( ( insert_b @ SV24 @ SV44 )
= ( insert_b @ SV56 @ SV60 ) )
= $false )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1099]) ).
thf(1105,plain,
! [SV60: set_b,SV44: set_b,SV56: b,SV24: b] :
( ( ( ~ ( ( SV24 != SV56 ) ) )
= $true )
| ( ( ~ ! [SY127: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV44
!= ( insert_b @ SV56 @ SY127 ) )
| ~ ~ ( member_b @ SV56 @ SY127 ) )
| ( SV60
!= ( insert_b @ SV24 @ SY127 ) ) )
| ~ ~ ( member_b @ SV24 @ SY127 ) ) )
= $true )
| ( ( ( insert_b @ SV24 @ SV44 )
= ( insert_b @ SV56 @ SV60 ) )
= $false )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1100]) ).
thf(1106,plain,
! [SV60: set_b,SV44: set_b,SV56: b,SV24: b] :
( ( ( ~ ( ( SV24 != SV56 ) ) )
= $false )
| ( ( SV24 = SV56 )
= $true )
| ( ( ~ ( ( ( insert_b @ SV24 @ SV44 )
!= ( insert_b @ SV56 @ SV60 ) )
| ~ ~ ( ~ ( ( SV24 != SV56 )
| ( SV44 = SV60 ) )
| ~ ( ~ ( ( SV24 != SV56 ) )
| ~ ! [SY127: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV44
!= ( insert_b @ SV56 @ SY127 ) )
| ~ ~ ( member_b @ SV56 @ SY127 ) )
| ( SV60
!= ( insert_b @ SV24 @ SY127 ) ) )
| ~ ~ ( member_b @ SV24 @ SY127 ) ) ) ) ) )
= $true )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1101]) ).
thf(1107,plain,
! [SV24: b,SV60: set_b,SV56: b,SV44: set_b] :
( ( ( ~ ! [SY127: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV44
!= ( insert_b @ SV56 @ SY127 ) )
| ~ ~ ( member_b @ SV56 @ SY127 ) )
| ( SV60
!= ( insert_b @ SV24 @ SY127 ) ) )
| ~ ~ ( member_b @ SV24 @ SY127 ) ) )
= $false )
| ( ( SV24 = SV56 )
= $true )
| ( ( ~ ( ( ( insert_b @ SV24 @ SV44 )
!= ( insert_b @ SV56 @ SV60 ) )
| ~ ~ ( ~ ( ( SV24 != SV56 )
| ( SV44 = SV60 ) )
| ~ ( ~ ( ( SV24 != SV56 ) )
| ~ ! [SY127: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV44
!= ( insert_b @ SV56 @ SY127 ) )
| ~ ~ ( member_b @ SV56 @ SY127 ) )
| ( SV60
!= ( insert_b @ SV24 @ SY127 ) ) )
| ~ ~ ( member_b @ SV24 @ SY127 ) ) ) ) ) )
= $true )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1101]) ).
thf(1108,plain,
! [SV60: set_b,SV44: set_b,SV56: b,SV24: b] :
( ( ( SV24 != SV56 )
= $true )
| ( ( SV44 = SV60 )
= $false )
| ( ( ~ ( ( ( insert_b @ SV24 @ SV44 )
!= ( insert_b @ SV56 @ SV60 ) )
| ~ ~ ( ~ ( ( SV24 != SV56 )
| ( SV44 = SV60 ) )
| ~ ( ~ ( ( SV24 != SV56 ) )
| ~ ! [SY127: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV44
!= ( insert_b @ SV56 @ SY127 ) )
| ~ ~ ( member_b @ SV56 @ SY127 ) )
| ( SV60
!= ( insert_b @ SV24 @ SY127 ) ) )
| ~ ~ ( member_b @ SV24 @ SY127 ) ) ) ) ) )
= $true )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1102]) ).
thf(1109,plain,
! [SV24: b,SV60: set_b,SV56: b,SV44: set_b] :
( ( ( ! [SY127: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV44
!= ( insert_b @ SV56 @ SY127 ) )
| ~ ~ ( member_b @ SV56 @ SY127 ) )
| ( SV60
!= ( insert_b @ SV24 @ SY127 ) ) )
| ~ ~ ( member_b @ SV24 @ SY127 ) ) )
= $true )
| ( ( SV44 = SV60 )
= $false )
| ( ( ~ ( ( ( insert_b @ SV24 @ SV44 )
!= ( insert_b @ SV56 @ SV60 ) )
| ~ ~ ( ~ ( ( SV24 != SV56 )
| ( SV44 = SV60 ) )
| ~ ( ~ ( ( SV24 != SV56 ) )
| ~ ! [SY127: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV44
!= ( insert_b @ SV56 @ SY127 ) )
| ~ ~ ( member_b @ SV56 @ SY127 ) )
| ( SV60
!= ( insert_b @ SV24 @ SY127 ) ) )
| ~ ~ ( member_b @ SV24 @ SY127 ) ) ) ) ) )
= $true )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1103]) ).
thf(1110,plain,
! [SV60: set_b,SV44: set_b,SV56: b,SV24: b] :
( ( ( SV24 = SV56 )
= $false )
| ( ( SV44 = SV60 )
= $true )
| ( ( ( insert_b @ SV24 @ SV44 )
= ( insert_b @ SV56 @ SV60 ) )
= $false )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1104]) ).
thf(1111,plain,
! [SV60: set_b,SV44: set_b,SV56: b,SV24: b] :
( ( ( SV24 != SV56 )
= $false )
| ( ( ~ ! [SY127: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV44
!= ( insert_b @ SV56 @ SY127 ) )
| ~ ~ ( member_b @ SV56 @ SY127 ) )
| ( SV60
!= ( insert_b @ SV24 @ SY127 ) ) )
| ~ ~ ( member_b @ SV24 @ SY127 ) ) )
= $true )
| ( ( ( insert_b @ SV24 @ SV44 )
= ( insert_b @ SV56 @ SV60 ) )
= $false )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1105]) ).
thf(1112,plain,
! [SV60: set_b,SV44: set_b,SV56: b,SV24: b] :
( ( ( SV24 != SV56 )
= $true )
| ( ( SV24 = SV56 )
= $true )
| ( ( ~ ( ( ( insert_b @ SV24 @ SV44 )
!= ( insert_b @ SV56 @ SV60 ) )
| ~ ~ ( ~ ( ( SV24 != SV56 )
| ( SV44 = SV60 ) )
| ~ ( ~ ( ( SV24 != SV56 ) )
| ~ ! [SY127: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV44
!= ( insert_b @ SV56 @ SY127 ) )
| ~ ~ ( member_b @ SV56 @ SY127 ) )
| ( SV60
!= ( insert_b @ SV24 @ SY127 ) ) )
| ~ ~ ( member_b @ SV24 @ SY127 ) ) ) ) ) )
= $true )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1106]) ).
thf(1113,plain,
! [SV24: b,SV60: set_b,SV56: b,SV44: set_b] :
( ( ( ! [SY127: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV44
!= ( insert_b @ SV56 @ SY127 ) )
| ~ ~ ( member_b @ SV56 @ SY127 ) )
| ( SV60
!= ( insert_b @ SV24 @ SY127 ) ) )
| ~ ~ ( member_b @ SV24 @ SY127 ) ) )
= $true )
| ( ( SV24 = SV56 )
= $true )
| ( ( ~ ( ( ( insert_b @ SV24 @ SV44 )
!= ( insert_b @ SV56 @ SV60 ) )
| ~ ~ ( ~ ( ( SV24 != SV56 )
| ( SV44 = SV60 ) )
| ~ ( ~ ( ( SV24 != SV56 ) )
| ~ ! [SY127: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV44
!= ( insert_b @ SV56 @ SY127 ) )
| ~ ~ ( member_b @ SV56 @ SY127 ) )
| ( SV60
!= ( insert_b @ SV24 @ SY127 ) ) )
| ~ ~ ( member_b @ SV24 @ SY127 ) ) ) ) ) )
= $true )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1107]) ).
thf(1114,plain,
! [SV60: set_b,SV44: set_b,SV56: b,SV24: b] :
( ( ( SV24 = SV56 )
= $false )
| ( ( SV44 = SV60 )
= $false )
| ( ( ~ ( ( ( insert_b @ SV24 @ SV44 )
!= ( insert_b @ SV56 @ SV60 ) )
| ~ ~ ( ~ ( ( SV24 != SV56 )
| ( SV44 = SV60 ) )
| ~ ( ~ ( ( SV24 != SV56 ) )
| ~ ! [SY127: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV44
!= ( insert_b @ SV56 @ SY127 ) )
| ~ ~ ( member_b @ SV56 @ SY127 ) )
| ( SV60
!= ( insert_b @ SV24 @ SY127 ) ) )
| ~ ~ ( member_b @ SV24 @ SY127 ) ) ) ) ) )
= $true )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1108]) ).
thf(1115,plain,
! [SV24: b,SV60: set_b,SV72: set_b,SV56: b,SV44: set_b] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV44
!= ( insert_b @ SV56 @ SV72 ) )
| ~ ~ ( member_b @ SV56 @ SV72 ) )
| ( SV60
!= ( insert_b @ SV24 @ SV72 ) ) )
| ~ ~ ( member_b @ SV24 @ SV72 ) ) )
= $true )
| ( ( SV44 = SV60 )
= $false )
| ( ( ~ ( ( ( insert_b @ SV24 @ SV44 )
!= ( insert_b @ SV56 @ SV60 ) )
| ~ ~ ( ~ ( ( SV24 != SV56 )
| ( SV44 = SV60 ) )
| ~ ( ~ ( ( SV24 != SV56 ) )
| ~ ! [SY127: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV44
!= ( insert_b @ SV56 @ SY127 ) )
| ~ ~ ( member_b @ SV56 @ SY127 ) )
| ( SV60
!= ( insert_b @ SV24 @ SY127 ) ) )
| ~ ~ ( member_b @ SV24 @ SY127 ) ) ) ) ) )
= $true )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1109]) ).
thf(1116,plain,
! [SV60: set_b,SV44: set_b,SV56: b,SV24: b] :
( ( ( SV24 = SV56 )
= $true )
| ( ( ~ ! [SY127: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV44
!= ( insert_b @ SV56 @ SY127 ) )
| ~ ~ ( member_b @ SV56 @ SY127 ) )
| ( SV60
!= ( insert_b @ SV24 @ SY127 ) ) )
| ~ ~ ( member_b @ SV24 @ SY127 ) ) )
= $true )
| ( ( ( insert_b @ SV24 @ SV44 )
= ( insert_b @ SV56 @ SV60 ) )
= $false )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1111]) ).
thf(1117,plain,
! [SV60: set_b,SV44: set_b,SV56: b,SV24: b] :
( ( ( SV24 = SV56 )
= $false )
| ( ( SV24 = SV56 )
= $true )
| ( ( ~ ( ( ( insert_b @ SV24 @ SV44 )
!= ( insert_b @ SV56 @ SV60 ) )
| ~ ~ ( ~ ( ( SV24 != SV56 )
| ( SV44 = SV60 ) )
| ~ ( ~ ( ( SV24 != SV56 ) )
| ~ ! [SY127: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV44
!= ( insert_b @ SV56 @ SY127 ) )
| ~ ~ ( member_b @ SV56 @ SY127 ) )
| ( SV60
!= ( insert_b @ SV24 @ SY127 ) ) )
| ~ ~ ( member_b @ SV24 @ SY127 ) ) ) ) ) )
= $true )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1112]) ).
thf(1118,plain,
! [SV24: b,SV60: set_b,SV73: set_b,SV56: b,SV44: set_b] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV44
!= ( insert_b @ SV56 @ SV73 ) )
| ~ ~ ( member_b @ SV56 @ SV73 ) )
| ( SV60
!= ( insert_b @ SV24 @ SV73 ) ) )
| ~ ~ ( member_b @ SV24 @ SV73 ) ) )
= $true )
| ( ( SV24 = SV56 )
= $true )
| ( ( ~ ( ( ( insert_b @ SV24 @ SV44 )
!= ( insert_b @ SV56 @ SV60 ) )
| ~ ~ ( ~ ( ( SV24 != SV56 )
| ( SV44 = SV60 ) )
| ~ ( ~ ( ( SV24 != SV56 ) )
| ~ ! [SY127: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV44
!= ( insert_b @ SV56 @ SY127 ) )
| ~ ~ ( member_b @ SV56 @ SY127 ) )
| ( SV60
!= ( insert_b @ SV24 @ SY127 ) ) )
| ~ ~ ( member_b @ SV24 @ SY127 ) ) ) ) ) )
= $true )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1113]) ).
thf(1119,plain,
! [SV60: set_b,SV56: b,SV44: set_b,SV24: b] :
( ( ( ( ( insert_b @ SV24 @ SV44 )
!= ( insert_b @ SV56 @ SV60 ) )
| ~ ~ ( ~ ( ( SV24 != SV56 )
| ( SV44 = SV60 ) )
| ~ ( ~ ( ( SV24 != SV56 ) )
| ~ ! [SY127: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV44
!= ( insert_b @ SV56 @ SY127 ) )
| ~ ~ ( member_b @ SV56 @ SY127 ) )
| ( SV60
!= ( insert_b @ SV24 @ SY127 ) ) )
| ~ ~ ( member_b @ SV24 @ SY127 ) ) ) ) )
= $false )
| ( ( SV44 = SV60 )
= $false )
| ( ( SV24 = SV56 )
= $false )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1114]) ).
thf(1120,plain,
! [SV24: b,SV60: set_b,SV72: set_b,SV56: b,SV44: set_b] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ( SV44
!= ( insert_b @ SV56 @ SV72 ) )
| ~ ~ ( member_b @ SV56 @ SV72 ) )
| ( SV60
!= ( insert_b @ SV24 @ SV72 ) ) )
| ~ ~ ( member_b @ SV24 @ SV72 ) ) )
= $false )
| ( ( SV44 = SV60 )
= $false )
| ( ( ~ ( ( ( insert_b @ SV24 @ SV44 )
!= ( insert_b @ SV56 @ SV60 ) )
| ~ ~ ( ~ ( ( SV24 != SV56 )
| ( SV44 = SV60 ) )
| ~ ( ~ ( ( SV24 != SV56 ) )
| ~ ! [SY127: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV44
!= ( insert_b @ SV56 @ SY127 ) )
| ~ ~ ( member_b @ SV56 @ SY127 ) )
| ( SV60
!= ( insert_b @ SV24 @ SY127 ) ) )
| ~ ~ ( member_b @ SV24 @ SY127 ) ) ) ) ) )
= $true )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1115]) ).
thf(1121,plain,
! [SV24: b,SV60: set_b,SV56: b,SV44: set_b] :
( ( ( ! [SY127: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV44
!= ( insert_b @ SV56 @ SY127 ) )
| ~ ~ ( member_b @ SV56 @ SY127 ) )
| ( SV60
!= ( insert_b @ SV24 @ SY127 ) ) )
| ~ ~ ( member_b @ SV24 @ SY127 ) ) )
= $false )
| ( ( SV24 = SV56 )
= $true )
| ( ( ( insert_b @ SV24 @ SV44 )
= ( insert_b @ SV56 @ SV60 ) )
= $false )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1116]) ).
thf(1122,plain,
! [SV60: set_b,SV56: b,SV44: set_b,SV24: b] :
( ( ( ( ( insert_b @ SV24 @ SV44 )
!= ( insert_b @ SV56 @ SV60 ) )
| ~ ~ ( ~ ( ( SV24 != SV56 )
| ( SV44 = SV60 ) )
| ~ ( ~ ( ( SV24 != SV56 ) )
| ~ ! [SY127: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV44
!= ( insert_b @ SV56 @ SY127 ) )
| ~ ~ ( member_b @ SV56 @ SY127 ) )
| ( SV60
!= ( insert_b @ SV24 @ SY127 ) ) )
| ~ ~ ( member_b @ SV24 @ SY127 ) ) ) ) )
= $false )
| ( ( SV24 = SV56 )
= $true )
| ( ( SV24 = SV56 )
= $false )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1117]) ).
thf(1123,plain,
! [SV24: b,SV60: set_b,SV73: set_b,SV56: b,SV44: set_b] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ( SV44
!= ( insert_b @ SV56 @ SV73 ) )
| ~ ~ ( member_b @ SV56 @ SV73 ) )
| ( SV60
!= ( insert_b @ SV24 @ SV73 ) ) )
| ~ ~ ( member_b @ SV24 @ SV73 ) ) )
= $false )
| ( ( SV24 = SV56 )
= $true )
| ( ( ~ ( ( ( insert_b @ SV24 @ SV44 )
!= ( insert_b @ SV56 @ SV60 ) )
| ~ ~ ( ~ ( ( SV24 != SV56 )
| ( SV44 = SV60 ) )
| ~ ( ~ ( ( SV24 != SV56 ) )
| ~ ! [SY127: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV44
!= ( insert_b @ SV56 @ SY127 ) )
| ~ ~ ( member_b @ SV56 @ SY127 ) )
| ( SV60
!= ( insert_b @ SV24 @ SY127 ) ) )
| ~ ~ ( member_b @ SV24 @ SY127 ) ) ) ) ) )
= $true )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1118]) ).
thf(1124,plain,
! [SV60: set_b,SV56: b,SV44: set_b,SV24: b] :
( ( ( ( insert_b @ SV24 @ SV44 )
!= ( insert_b @ SV56 @ SV60 ) )
= $false )
| ( ( SV44 = SV60 )
= $false )
| ( ( SV24 = SV56 )
= $false )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1119]) ).
thf(1125,plain,
! [SV60: set_b,SV44: set_b,SV56: b,SV24: b] :
( ( ( ~ ~ ( ~ ( ( SV24 != SV56 )
| ( SV44 = SV60 ) )
| ~ ( ~ ( ( SV24 != SV56 ) )
| ~ ! [SY127: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV44
!= ( insert_b @ SV56 @ SY127 ) )
| ~ ~ ( member_b @ SV56 @ SY127 ) )
| ( SV60
!= ( insert_b @ SV24 @ SY127 ) ) )
| ~ ~ ( member_b @ SV24 @ SY127 ) ) ) ) )
= $false )
| ( ( SV44 = SV60 )
= $false )
| ( ( SV24 = SV56 )
= $false )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1119]) ).
thf(1126,plain,
! [SV24: b,SV60: set_b,SV72: set_b,SV56: b,SV44: set_b] :
( ( ( ~ ~ ( ~ ~ ( ( SV44
!= ( insert_b @ SV56 @ SV72 ) )
| ~ ~ ( member_b @ SV56 @ SV72 ) )
| ( SV60
!= ( insert_b @ SV24 @ SV72 ) ) )
| ~ ~ ( member_b @ SV24 @ SV72 ) )
= $true )
| ( ( SV44 = SV60 )
= $false )
| ( ( ~ ( ( ( insert_b @ SV24 @ SV44 )
!= ( insert_b @ SV56 @ SV60 ) )
| ~ ~ ( ~ ( ( SV24 != SV56 )
| ( SV44 = SV60 ) )
| ~ ( ~ ( ( SV24 != SV56 ) )
| ~ ! [SY127: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV44
!= ( insert_b @ SV56 @ SY127 ) )
| ~ ~ ( member_b @ SV56 @ SY127 ) )
| ( SV60
!= ( insert_b @ SV24 @ SY127 ) ) )
| ~ ~ ( member_b @ SV24 @ SY127 ) ) ) ) ) )
= $true )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1120]) ).
thf(1127,plain,
! [SV60: set_b,SV24: b,SV56: b,SV44: set_b] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV44
!= ( insert_b @ SV56 @ ( sK10_SY127 @ SV24 @ SV60 @ SV56 @ SV44 ) ) )
| ~ ~ ( member_b @ SV56 @ ( sK10_SY127 @ SV24 @ SV60 @ SV56 @ SV44 ) ) )
| ( SV60
!= ( insert_b @ SV24 @ ( sK10_SY127 @ SV24 @ SV60 @ SV56 @ SV44 ) ) ) )
| ~ ~ ( member_b @ SV24 @ ( sK10_SY127 @ SV24 @ SV60 @ SV56 @ SV44 ) ) ) )
= $false )
| ( ( SV24 = SV56 )
= $true )
| ( ( ( insert_b @ SV24 @ SV44 )
= ( insert_b @ SV56 @ SV60 ) )
= $false )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1121]) ).
thf(1128,plain,
! [SV60: set_b,SV56: b,SV44: set_b,SV24: b] :
( ( ( ( insert_b @ SV24 @ SV44 )
!= ( insert_b @ SV56 @ SV60 ) )
= $false )
| ( ( SV24 = SV56 )
= $true )
| ( ( SV24 = SV56 )
= $false )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1122]) ).
thf(1129,plain,
! [SV60: set_b,SV44: set_b,SV56: b,SV24: b] :
( ( ( ~ ~ ( ~ ( ( SV24 != SV56 )
| ( SV44 = SV60 ) )
| ~ ( ~ ( ( SV24 != SV56 ) )
| ~ ! [SY127: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV44
!= ( insert_b @ SV56 @ SY127 ) )
| ~ ~ ( member_b @ SV56 @ SY127 ) )
| ( SV60
!= ( insert_b @ SV24 @ SY127 ) ) )
| ~ ~ ( member_b @ SV24 @ SY127 ) ) ) ) )
= $false )
| ( ( SV24 = SV56 )
= $true )
| ( ( SV24 = SV56 )
= $false )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1122]) ).
thf(1130,plain,
! [SV24: b,SV60: set_b,SV73: set_b,SV56: b,SV44: set_b] :
( ( ( ~ ~ ( ~ ~ ( ( SV44
!= ( insert_b @ SV56 @ SV73 ) )
| ~ ~ ( member_b @ SV56 @ SV73 ) )
| ( SV60
!= ( insert_b @ SV24 @ SV73 ) ) )
| ~ ~ ( member_b @ SV24 @ SV73 ) )
= $true )
| ( ( SV24 = SV56 )
= $true )
| ( ( ~ ( ( ( insert_b @ SV24 @ SV44 )
!= ( insert_b @ SV56 @ SV60 ) )
| ~ ~ ( ~ ( ( SV24 != SV56 )
| ( SV44 = SV60 ) )
| ~ ( ~ ( ( SV24 != SV56 ) )
| ~ ! [SY127: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV44
!= ( insert_b @ SV56 @ SY127 ) )
| ~ ~ ( member_b @ SV56 @ SY127 ) )
| ( SV60
!= ( insert_b @ SV24 @ SY127 ) ) )
| ~ ~ ( member_b @ SV24 @ SY127 ) ) ) ) ) )
= $true )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1123]) ).
thf(1131,plain,
! [SV60: set_b,SV56: b,SV44: set_b,SV24: b] :
( ( ( ( insert_b @ SV24 @ SV44 )
= ( insert_b @ SV56 @ SV60 ) )
= $true )
| ( ( SV44 = SV60 )
= $false )
| ( ( SV24 = SV56 )
= $false )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1124]) ).
thf(1132,plain,
! [SV60: set_b,SV44: set_b,SV56: b,SV24: b] :
( ( ( ~ ( ~ ( ( SV24 != SV56 )
| ( SV44 = SV60 ) )
| ~ ( ~ ( ( SV24 != SV56 ) )
| ~ ! [SY127: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV44
!= ( insert_b @ SV56 @ SY127 ) )
| ~ ~ ( member_b @ SV56 @ SY127 ) )
| ( SV60
!= ( insert_b @ SV24 @ SY127 ) ) )
| ~ ~ ( member_b @ SV24 @ SY127 ) ) ) ) )
= $true )
| ( ( SV44 = SV60 )
= $false )
| ( ( SV24 = SV56 )
= $false )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1125]) ).
thf(1133,plain,
! [SV24: b,SV60: set_b,SV72: set_b,SV56: b,SV44: set_b] :
( ( ( ~ ~ ( ~ ~ ( ( SV44
!= ( insert_b @ SV56 @ SV72 ) )
| ~ ~ ( member_b @ SV56 @ SV72 ) )
| ( SV60
!= ( insert_b @ SV24 @ SV72 ) ) ) )
= $true )
| ( ( ~ ~ ( member_b @ SV24 @ SV72 ) )
= $true )
| ( ( SV44 = SV60 )
= $false )
| ( ( ~ ( ( ( insert_b @ SV24 @ SV44 )
!= ( insert_b @ SV56 @ SV60 ) )
| ~ ~ ( ~ ( ( SV24 != SV56 )
| ( SV44 = SV60 ) )
| ~ ( ~ ( ( SV24 != SV56 ) )
| ~ ! [SY127: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV44
!= ( insert_b @ SV56 @ SY127 ) )
| ~ ~ ( member_b @ SV56 @ SY127 ) )
| ( SV60
!= ( insert_b @ SV24 @ SY127 ) ) )
| ~ ~ ( member_b @ SV24 @ SY127 ) ) ) ) ) )
= $true )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1126]) ).
thf(1134,plain,
! [SV60: set_b,SV24: b,SV56: b,SV44: set_b] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ( SV44
!= ( insert_b @ SV56 @ ( sK10_SY127 @ SV24 @ SV60 @ SV56 @ SV44 ) ) )
| ~ ~ ( member_b @ SV56 @ ( sK10_SY127 @ SV24 @ SV60 @ SV56 @ SV44 ) ) )
| ( SV60
!= ( insert_b @ SV24 @ ( sK10_SY127 @ SV24 @ SV60 @ SV56 @ SV44 ) ) ) )
| ~ ~ ( member_b @ SV24 @ ( sK10_SY127 @ SV24 @ SV60 @ SV56 @ SV44 ) ) ) )
= $true )
| ( ( SV24 = SV56 )
= $true )
| ( ( ( insert_b @ SV24 @ SV44 )
= ( insert_b @ SV56 @ SV60 ) )
= $false )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1127]) ).
thf(1135,plain,
! [SV60: set_b,SV56: b,SV44: set_b,SV24: b] :
( ( ( ( insert_b @ SV24 @ SV44 )
= ( insert_b @ SV56 @ SV60 ) )
= $true )
| ( ( SV24 = SV56 )
= $true )
| ( ( SV24 = SV56 )
= $false )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1128]) ).
thf(1136,plain,
! [SV60: set_b,SV44: set_b,SV56: b,SV24: b] :
( ( ( ~ ( ~ ( ( SV24 != SV56 )
| ( SV44 = SV60 ) )
| ~ ( ~ ( ( SV24 != SV56 ) )
| ~ ! [SY127: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV44
!= ( insert_b @ SV56 @ SY127 ) )
| ~ ~ ( member_b @ SV56 @ SY127 ) )
| ( SV60
!= ( insert_b @ SV24 @ SY127 ) ) )
| ~ ~ ( member_b @ SV24 @ SY127 ) ) ) ) )
= $true )
| ( ( SV24 = SV56 )
= $true )
| ( ( SV24 = SV56 )
= $false )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1129]) ).
thf(1137,plain,
! [SV24: b,SV60: set_b,SV73: set_b,SV56: b,SV44: set_b] :
( ( ( ~ ~ ( ~ ~ ( ( SV44
!= ( insert_b @ SV56 @ SV73 ) )
| ~ ~ ( member_b @ SV56 @ SV73 ) )
| ( SV60
!= ( insert_b @ SV24 @ SV73 ) ) ) )
= $true )
| ( ( ~ ~ ( member_b @ SV24 @ SV73 ) )
= $true )
| ( ( SV24 = SV56 )
= $true )
| ( ( ~ ( ( ( insert_b @ SV24 @ SV44 )
!= ( insert_b @ SV56 @ SV60 ) )
| ~ ~ ( ~ ( ( SV24 != SV56 )
| ( SV44 = SV60 ) )
| ~ ( ~ ( ( SV24 != SV56 ) )
| ~ ! [SY127: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV44
!= ( insert_b @ SV56 @ SY127 ) )
| ~ ~ ( member_b @ SV56 @ SY127 ) )
| ( SV60
!= ( insert_b @ SV24 @ SY127 ) ) )
| ~ ~ ( member_b @ SV24 @ SY127 ) ) ) ) ) )
= $true )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1130]) ).
thf(1138,plain,
! [SV60: set_b,SV44: set_b,SV56: b,SV24: b] :
( ( ( ~ ( ( SV24 != SV56 )
| ( SV44 = SV60 ) )
| ~ ( ~ ( ( SV24 != SV56 ) )
| ~ ! [SY127: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV44
!= ( insert_b @ SV56 @ SY127 ) )
| ~ ~ ( member_b @ SV56 @ SY127 ) )
| ( SV60
!= ( insert_b @ SV24 @ SY127 ) ) )
| ~ ~ ( member_b @ SV24 @ SY127 ) ) ) )
= $false )
| ( ( SV44 = SV60 )
= $false )
| ( ( SV24 = SV56 )
= $false )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1132]) ).
thf(1139,plain,
! [SV24: b,SV60: set_b,SV72: set_b,SV56: b,SV44: set_b] :
( ( ( ~ ( ~ ~ ( ( SV44
!= ( insert_b @ SV56 @ SV72 ) )
| ~ ~ ( member_b @ SV56 @ SV72 ) )
| ( SV60
!= ( insert_b @ SV24 @ SV72 ) ) ) )
= $false )
| ( ( ~ ~ ( member_b @ SV24 @ SV72 ) )
= $true )
| ( ( SV44 = SV60 )
= $false )
| ( ( ~ ( ( ( insert_b @ SV24 @ SV44 )
!= ( insert_b @ SV56 @ SV60 ) )
| ~ ~ ( ~ ( ( SV24 != SV56 )
| ( SV44 = SV60 ) )
| ~ ( ~ ( ( SV24 != SV56 ) )
| ~ ! [SY127: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV44
!= ( insert_b @ SV56 @ SY127 ) )
| ~ ~ ( member_b @ SV56 @ SY127 ) )
| ( SV60
!= ( insert_b @ SV24 @ SY127 ) ) )
| ~ ~ ( member_b @ SV24 @ SY127 ) ) ) ) ) )
= $true )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1133]) ).
thf(1140,plain,
! [SV60: set_b,SV24: b,SV56: b,SV44: set_b] :
( ( ( ~ ~ ( ~ ~ ( ( SV44
!= ( insert_b @ SV56 @ ( sK10_SY127 @ SV24 @ SV60 @ SV56 @ SV44 ) ) )
| ~ ~ ( member_b @ SV56 @ ( sK10_SY127 @ SV24 @ SV60 @ SV56 @ SV44 ) ) )
| ( SV60
!= ( insert_b @ SV24 @ ( sK10_SY127 @ SV24 @ SV60 @ SV56 @ SV44 ) ) ) )
| ~ ~ ( member_b @ SV24 @ ( sK10_SY127 @ SV24 @ SV60 @ SV56 @ SV44 ) ) )
= $false )
| ( ( SV24 = SV56 )
= $true )
| ( ( ( insert_b @ SV24 @ SV44 )
= ( insert_b @ SV56 @ SV60 ) )
= $false )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1134]) ).
thf(1141,plain,
! [SV60: set_b,SV44: set_b,SV56: b,SV24: b] :
( ( ( ~ ( ( SV24 != SV56 )
| ( SV44 = SV60 ) )
| ~ ( ~ ( ( SV24 != SV56 ) )
| ~ ! [SY127: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV44
!= ( insert_b @ SV56 @ SY127 ) )
| ~ ~ ( member_b @ SV56 @ SY127 ) )
| ( SV60
!= ( insert_b @ SV24 @ SY127 ) ) )
| ~ ~ ( member_b @ SV24 @ SY127 ) ) ) )
= $false )
| ( ( SV24 = SV56 )
= $true )
| ( ( SV24 = SV56 )
= $false )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1136]) ).
thf(1142,plain,
! [SV24: b,SV60: set_b,SV73: set_b,SV56: b,SV44: set_b] :
( ( ( ~ ( ~ ~ ( ( SV44
!= ( insert_b @ SV56 @ SV73 ) )
| ~ ~ ( member_b @ SV56 @ SV73 ) )
| ( SV60
!= ( insert_b @ SV24 @ SV73 ) ) ) )
= $false )
| ( ( ~ ~ ( member_b @ SV24 @ SV73 ) )
= $true )
| ( ( SV24 = SV56 )
= $true )
| ( ( ~ ( ( ( insert_b @ SV24 @ SV44 )
!= ( insert_b @ SV56 @ SV60 ) )
| ~ ~ ( ~ ( ( SV24 != SV56 )
| ( SV44 = SV60 ) )
| ~ ( ~ ( ( SV24 != SV56 ) )
| ~ ! [SY127: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV44
!= ( insert_b @ SV56 @ SY127 ) )
| ~ ~ ( member_b @ SV56 @ SY127 ) )
| ( SV60
!= ( insert_b @ SV24 @ SY127 ) ) )
| ~ ~ ( member_b @ SV24 @ SY127 ) ) ) ) ) )
= $true )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1137]) ).
thf(1143,plain,
! [SV60: set_b,SV44: set_b,SV56: b,SV24: b] :
( ( ( ~ ( ( SV24 != SV56 )
| ( SV44 = SV60 ) ) )
= $false )
| ( ( SV44 = SV60 )
= $false )
| ( ( SV24 = SV56 )
= $false )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1138]) ).
thf(1144,plain,
! [SV60: set_b,SV44: set_b,SV56: b,SV24: b] :
( ( ( ~ ( ~ ( ( SV24 != SV56 ) )
| ~ ! [SY127: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV44
!= ( insert_b @ SV56 @ SY127 ) )
| ~ ~ ( member_b @ SV56 @ SY127 ) )
| ( SV60
!= ( insert_b @ SV24 @ SY127 ) ) )
| ~ ~ ( member_b @ SV24 @ SY127 ) ) ) )
= $false )
| ( ( SV44 = SV60 )
= $false )
| ( ( SV24 = SV56 )
= $false )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1138]) ).
thf(1145,plain,
! [SV24: b,SV60: set_b,SV72: set_b,SV56: b,SV44: set_b] :
( ( ( ~ ~ ( ( SV44
!= ( insert_b @ SV56 @ SV72 ) )
| ~ ~ ( member_b @ SV56 @ SV72 ) )
| ( SV60
!= ( insert_b @ SV24 @ SV72 ) ) )
= $true )
| ( ( ~ ~ ( member_b @ SV24 @ SV72 ) )
= $true )
| ( ( SV44 = SV60 )
= $false )
| ( ( ~ ( ( ( insert_b @ SV24 @ SV44 )
!= ( insert_b @ SV56 @ SV60 ) )
| ~ ~ ( ~ ( ( SV24 != SV56 )
| ( SV44 = SV60 ) )
| ~ ( ~ ( ( SV24 != SV56 ) )
| ~ ! [SY127: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV44
!= ( insert_b @ SV56 @ SY127 ) )
| ~ ~ ( member_b @ SV56 @ SY127 ) )
| ( SV60
!= ( insert_b @ SV24 @ SY127 ) ) )
| ~ ~ ( member_b @ SV24 @ SY127 ) ) ) ) ) )
= $true )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1139]) ).
thf(1146,plain,
! [SV60: set_b,SV24: b,SV56: b,SV44: set_b] :
( ( ( ~ ~ ( ~ ~ ( ( SV44
!= ( insert_b @ SV56 @ ( sK10_SY127 @ SV24 @ SV60 @ SV56 @ SV44 ) ) )
| ~ ~ ( member_b @ SV56 @ ( sK10_SY127 @ SV24 @ SV60 @ SV56 @ SV44 ) ) )
| ( SV60
!= ( insert_b @ SV24 @ ( sK10_SY127 @ SV24 @ SV60 @ SV56 @ SV44 ) ) ) ) )
= $false )
| ( ( SV24 = SV56 )
= $true )
| ( ( ( insert_b @ SV24 @ SV44 )
= ( insert_b @ SV56 @ SV60 ) )
= $false )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1140]) ).
thf(1147,plain,
! [SV44: set_b,SV56: b,SV60: set_b,SV24: b] :
( ( ( ~ ~ ( member_b @ SV24 @ ( sK10_SY127 @ SV24 @ SV60 @ SV56 @ SV44 ) ) )
= $false )
| ( ( SV24 = SV56 )
= $true )
| ( ( ( insert_b @ SV24 @ SV44 )
= ( insert_b @ SV56 @ SV60 ) )
= $false )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1140]) ).
thf(1148,plain,
! [SV60: set_b,SV44: set_b,SV56: b,SV24: b] :
( ( ( ~ ( ( SV24 != SV56 )
| ( SV44 = SV60 ) ) )
= $false )
| ( ( SV24 = SV56 )
= $true )
| ( ( SV24 = SV56 )
= $false )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1141]) ).
thf(1149,plain,
! [SV60: set_b,SV44: set_b,SV56: b,SV24: b] :
( ( ( ~ ( ~ ( ( SV24 != SV56 ) )
| ~ ! [SY127: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV44
!= ( insert_b @ SV56 @ SY127 ) )
| ~ ~ ( member_b @ SV56 @ SY127 ) )
| ( SV60
!= ( insert_b @ SV24 @ SY127 ) ) )
| ~ ~ ( member_b @ SV24 @ SY127 ) ) ) )
= $false )
| ( ( SV24 = SV56 )
= $true )
| ( ( SV24 = SV56 )
= $false )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1141]) ).
thf(1150,plain,
! [SV24: b,SV60: set_b,SV73: set_b,SV56: b,SV44: set_b] :
( ( ( ~ ~ ( ( SV44
!= ( insert_b @ SV56 @ SV73 ) )
| ~ ~ ( member_b @ SV56 @ SV73 ) )
| ( SV60
!= ( insert_b @ SV24 @ SV73 ) ) )
= $true )
| ( ( ~ ~ ( member_b @ SV24 @ SV73 ) )
= $true )
| ( ( SV24 = SV56 )
= $true )
| ( ( ~ ( ( ( insert_b @ SV24 @ SV44 )
!= ( insert_b @ SV56 @ SV60 ) )
| ~ ~ ( ~ ( ( SV24 != SV56 )
| ( SV44 = SV60 ) )
| ~ ( ~ ( ( SV24 != SV56 ) )
| ~ ! [SY127: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV44
!= ( insert_b @ SV56 @ SY127 ) )
| ~ ~ ( member_b @ SV56 @ SY127 ) )
| ( SV60
!= ( insert_b @ SV24 @ SY127 ) ) )
| ~ ~ ( member_b @ SV24 @ SY127 ) ) ) ) ) )
= $true )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1142]) ).
thf(1151,plain,
! [SV60: set_b,SV44: set_b,SV56: b,SV24: b] :
( ( ( ( SV24 != SV56 )
| ( SV44 = SV60 ) )
= $true )
| ( ( SV44 = SV60 )
= $false )
| ( ( SV24 = SV56 )
= $false )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1143]) ).
thf(1152,plain,
! [SV60: set_b,SV44: set_b,SV56: b,SV24: b] :
( ( ( ~ ( ( SV24 != SV56 ) )
| ~ ! [SY127: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV44
!= ( insert_b @ SV56 @ SY127 ) )
| ~ ~ ( member_b @ SV56 @ SY127 ) )
| ( SV60
!= ( insert_b @ SV24 @ SY127 ) ) )
| ~ ~ ( member_b @ SV24 @ SY127 ) ) )
= $true )
| ( ( SV44 = SV60 )
= $false )
| ( ( SV24 = SV56 )
= $false )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1144]) ).
thf(1153,plain,
! [SV24: b,SV60: set_b,SV72: set_b,SV56: b,SV44: set_b] :
( ( ( ~ ~ ( ( SV44
!= ( insert_b @ SV56 @ SV72 ) )
| ~ ~ ( member_b @ SV56 @ SV72 ) ) )
= $true )
| ( ( SV60
!= ( insert_b @ SV24 @ SV72 ) )
= $true )
| ( ( ~ ~ ( member_b @ SV24 @ SV72 ) )
= $true )
| ( ( SV44 = SV60 )
= $false )
| ( ( ~ ( ( ( insert_b @ SV24 @ SV44 )
!= ( insert_b @ SV56 @ SV60 ) )
| ~ ~ ( ~ ( ( SV24 != SV56 )
| ( SV44 = SV60 ) )
| ~ ( ~ ( ( SV24 != SV56 ) )
| ~ ! [SY127: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV44
!= ( insert_b @ SV56 @ SY127 ) )
| ~ ~ ( member_b @ SV56 @ SY127 ) )
| ( SV60
!= ( insert_b @ SV24 @ SY127 ) ) )
| ~ ~ ( member_b @ SV24 @ SY127 ) ) ) ) ) )
= $true )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1145]) ).
thf(1154,plain,
! [SV60: set_b,SV24: b,SV56: b,SV44: set_b] :
( ( ( ~ ( ~ ~ ( ( SV44
!= ( insert_b @ SV56 @ ( sK10_SY127 @ SV24 @ SV60 @ SV56 @ SV44 ) ) )
| ~ ~ ( member_b @ SV56 @ ( sK10_SY127 @ SV24 @ SV60 @ SV56 @ SV44 ) ) )
| ( SV60
!= ( insert_b @ SV24 @ ( sK10_SY127 @ SV24 @ SV60 @ SV56 @ SV44 ) ) ) ) )
= $true )
| ( ( SV24 = SV56 )
= $true )
| ( ( ( insert_b @ SV24 @ SV44 )
= ( insert_b @ SV56 @ SV60 ) )
= $false )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1146]) ).
thf(1155,plain,
! [SV44: set_b,SV56: b,SV60: set_b,SV24: b] :
( ( ( ~ ( member_b @ SV24 @ ( sK10_SY127 @ SV24 @ SV60 @ SV56 @ SV44 ) ) )
= $true )
| ( ( SV24 = SV56 )
= $true )
| ( ( ( insert_b @ SV24 @ SV44 )
= ( insert_b @ SV56 @ SV60 ) )
= $false )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1147]) ).
thf(1156,plain,
! [SV60: set_b,SV44: set_b,SV56: b,SV24: b] :
( ( ( ( SV24 != SV56 )
| ( SV44 = SV60 ) )
= $true )
| ( ( SV24 = SV56 )
= $true )
| ( ( SV24 = SV56 )
= $false )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1148]) ).
thf(1157,plain,
! [SV60: set_b,SV44: set_b,SV56: b,SV24: b] :
( ( ( ~ ( ( SV24 != SV56 ) )
| ~ ! [SY127: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV44
!= ( insert_b @ SV56 @ SY127 ) )
| ~ ~ ( member_b @ SV56 @ SY127 ) )
| ( SV60
!= ( insert_b @ SV24 @ SY127 ) ) )
| ~ ~ ( member_b @ SV24 @ SY127 ) ) )
= $true )
| ( ( SV24 = SV56 )
= $true )
| ( ( SV24 = SV56 )
= $false )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1149]) ).
thf(1158,plain,
! [SV24: b,SV60: set_b,SV73: set_b,SV56: b,SV44: set_b] :
( ( ( ~ ~ ( ( SV44
!= ( insert_b @ SV56 @ SV73 ) )
| ~ ~ ( member_b @ SV56 @ SV73 ) ) )
= $true )
| ( ( SV60
!= ( insert_b @ SV24 @ SV73 ) )
= $true )
| ( ( ~ ~ ( member_b @ SV24 @ SV73 ) )
= $true )
| ( ( SV24 = SV56 )
= $true )
| ( ( ~ ( ( ( insert_b @ SV24 @ SV44 )
!= ( insert_b @ SV56 @ SV60 ) )
| ~ ~ ( ~ ( ( SV24 != SV56 )
| ( SV44 = SV60 ) )
| ~ ( ~ ( ( SV24 != SV56 ) )
| ~ ! [SY127: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV44
!= ( insert_b @ SV56 @ SY127 ) )
| ~ ~ ( member_b @ SV56 @ SY127 ) )
| ( SV60
!= ( insert_b @ SV24 @ SY127 ) ) )
| ~ ~ ( member_b @ SV24 @ SY127 ) ) ) ) ) )
= $true )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1150]) ).
thf(1159,plain,
! [SV60: set_b,SV44: set_b,SV56: b,SV24: b] :
( ( ( SV24 != SV56 )
= $true )
| ( ( SV44 = SV60 )
= $true )
| ( ( SV44 = SV60 )
= $false )
| ( ( SV24 = SV56 )
= $false )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1151]) ).
thf(1160,plain,
! [SV60: set_b,SV44: set_b,SV56: b,SV24: b] :
( ( ( ~ ( ( SV24 != SV56 ) ) )
= $true )
| ( ( ~ ! [SY127: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV44
!= ( insert_b @ SV56 @ SY127 ) )
| ~ ~ ( member_b @ SV56 @ SY127 ) )
| ( SV60
!= ( insert_b @ SV24 @ SY127 ) ) )
| ~ ~ ( member_b @ SV24 @ SY127 ) ) )
= $true )
| ( ( SV44 = SV60 )
= $false )
| ( ( SV24 = SV56 )
= $false )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1152]) ).
thf(1161,plain,
! [SV24: b,SV60: set_b,SV72: set_b,SV56: b,SV44: set_b] :
( ( ( ~ ( ( SV44
!= ( insert_b @ SV56 @ SV72 ) )
| ~ ~ ( member_b @ SV56 @ SV72 ) ) )
= $false )
| ( ( SV60
!= ( insert_b @ SV24 @ SV72 ) )
= $true )
| ( ( ~ ~ ( member_b @ SV24 @ SV72 ) )
= $true )
| ( ( SV44 = SV60 )
= $false )
| ( ( ~ ( ( ( insert_b @ SV24 @ SV44 )
!= ( insert_b @ SV56 @ SV60 ) )
| ~ ~ ( ~ ( ( SV24 != SV56 )
| ( SV44 = SV60 ) )
| ~ ( ~ ( ( SV24 != SV56 ) )
| ~ ! [SY127: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV44
!= ( insert_b @ SV56 @ SY127 ) )
| ~ ~ ( member_b @ SV56 @ SY127 ) )
| ( SV60
!= ( insert_b @ SV24 @ SY127 ) ) )
| ~ ~ ( member_b @ SV24 @ SY127 ) ) ) ) ) )
= $true )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1153]) ).
thf(1162,plain,
! [SV60: set_b,SV24: b,SV56: b,SV44: set_b] :
( ( ( ~ ~ ( ( SV44
!= ( insert_b @ SV56 @ ( sK10_SY127 @ SV24 @ SV60 @ SV56 @ SV44 ) ) )
| ~ ~ ( member_b @ SV56 @ ( sK10_SY127 @ SV24 @ SV60 @ SV56 @ SV44 ) ) )
| ( SV60
!= ( insert_b @ SV24 @ ( sK10_SY127 @ SV24 @ SV60 @ SV56 @ SV44 ) ) ) )
= $false )
| ( ( SV24 = SV56 )
= $true )
| ( ( ( insert_b @ SV24 @ SV44 )
= ( insert_b @ SV56 @ SV60 ) )
= $false )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1154]) ).
thf(1163,plain,
! [SV44: set_b,SV56: b,SV60: set_b,SV24: b] :
( ( ( member_b @ SV24 @ ( sK10_SY127 @ SV24 @ SV60 @ SV56 @ SV44 ) )
= $false )
| ( ( SV24 = SV56 )
= $true )
| ( ( ( insert_b @ SV24 @ SV44 )
= ( insert_b @ SV56 @ SV60 ) )
= $false )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1155]) ).
thf(1164,plain,
! [SV60: set_b,SV44: set_b,SV56: b,SV24: b] :
( ( ( SV24 != SV56 )
= $true )
| ( ( SV44 = SV60 )
= $true )
| ( ( SV24 = SV56 )
= $true )
| ( ( SV24 = SV56 )
= $false )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1156]) ).
thf(1165,plain,
! [SV60: set_b,SV44: set_b,SV56: b,SV24: b] :
( ( ( ~ ( ( SV24 != SV56 ) ) )
= $true )
| ( ( ~ ! [SY127: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV44
!= ( insert_b @ SV56 @ SY127 ) )
| ~ ~ ( member_b @ SV56 @ SY127 ) )
| ( SV60
!= ( insert_b @ SV24 @ SY127 ) ) )
| ~ ~ ( member_b @ SV24 @ SY127 ) ) )
= $true )
| ( ( SV24 = SV56 )
= $true )
| ( ( SV24 = SV56 )
= $false )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1157]) ).
thf(1166,plain,
! [SV24: b,SV60: set_b,SV73: set_b,SV56: b,SV44: set_b] :
( ( ( ~ ( ( SV44
!= ( insert_b @ SV56 @ SV73 ) )
| ~ ~ ( member_b @ SV56 @ SV73 ) ) )
= $false )
| ( ( SV60
!= ( insert_b @ SV24 @ SV73 ) )
= $true )
| ( ( ~ ~ ( member_b @ SV24 @ SV73 ) )
= $true )
| ( ( SV24 = SV56 )
= $true )
| ( ( ~ ( ( ( insert_b @ SV24 @ SV44 )
!= ( insert_b @ SV56 @ SV60 ) )
| ~ ~ ( ~ ( ( SV24 != SV56 )
| ( SV44 = SV60 ) )
| ~ ( ~ ( ( SV24 != SV56 ) )
| ~ ! [SY127: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV44
!= ( insert_b @ SV56 @ SY127 ) )
| ~ ~ ( member_b @ SV56 @ SY127 ) )
| ( SV60
!= ( insert_b @ SV24 @ SY127 ) ) )
| ~ ~ ( member_b @ SV24 @ SY127 ) ) ) ) ) )
= $true )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1158]) ).
thf(1167,plain,
! [SV60: set_b,SV44: set_b,SV56: b,SV24: b] :
( ( ( SV24 = SV56 )
= $false )
| ( ( SV44 = SV60 )
= $true )
| ( ( SV44 = SV60 )
= $false )
| ( ( SV24 = SV56 )
= $false )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1159]) ).
thf(1168,plain,
! [SV60: set_b,SV44: set_b,SV56: b,SV24: b] :
( ( ( SV24 != SV56 )
= $false )
| ( ( ~ ! [SY127: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV44
!= ( insert_b @ SV56 @ SY127 ) )
| ~ ~ ( member_b @ SV56 @ SY127 ) )
| ( SV60
!= ( insert_b @ SV24 @ SY127 ) ) )
| ~ ~ ( member_b @ SV24 @ SY127 ) ) )
= $true )
| ( ( SV44 = SV60 )
= $false )
| ( ( SV24 = SV56 )
= $false )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1160]) ).
thf(1169,plain,
! [SV24: b,SV60: set_b,SV72: set_b,SV56: b,SV44: set_b] :
( ( ( ( SV44
!= ( insert_b @ SV56 @ SV72 ) )
| ~ ~ ( member_b @ SV56 @ SV72 ) )
= $true )
| ( ( SV60
!= ( insert_b @ SV24 @ SV72 ) )
= $true )
| ( ( ~ ~ ( member_b @ SV24 @ SV72 ) )
= $true )
| ( ( SV44 = SV60 )
= $false )
| ( ( ~ ( ( ( insert_b @ SV24 @ SV44 )
!= ( insert_b @ SV56 @ SV60 ) )
| ~ ~ ( ~ ( ( SV24 != SV56 )
| ( SV44 = SV60 ) )
| ~ ( ~ ( ( SV24 != SV56 ) )
| ~ ! [SY127: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV44
!= ( insert_b @ SV56 @ SY127 ) )
| ~ ~ ( member_b @ SV56 @ SY127 ) )
| ( SV60
!= ( insert_b @ SV24 @ SY127 ) ) )
| ~ ~ ( member_b @ SV24 @ SY127 ) ) ) ) ) )
= $true )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1161]) ).
thf(1170,plain,
! [SV60: set_b,SV24: b,SV56: b,SV44: set_b] :
( ( ( ~ ~ ( ( SV44
!= ( insert_b @ SV56 @ ( sK10_SY127 @ SV24 @ SV60 @ SV56 @ SV44 ) ) )
| ~ ~ ( member_b @ SV56 @ ( sK10_SY127 @ SV24 @ SV60 @ SV56 @ SV44 ) ) ) )
= $false )
| ( ( SV24 = SV56 )
= $true )
| ( ( ( insert_b @ SV24 @ SV44 )
= ( insert_b @ SV56 @ SV60 ) )
= $false )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1162]) ).
thf(1171,plain,
! [SV44: set_b,SV56: b,SV24: b,SV60: set_b] :
( ( ( SV60
!= ( insert_b @ SV24 @ ( sK10_SY127 @ SV24 @ SV60 @ SV56 @ SV44 ) ) )
= $false )
| ( ( SV24 = SV56 )
= $true )
| ( ( ( insert_b @ SV24 @ SV44 )
= ( insert_b @ SV56 @ SV60 ) )
= $false )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1162]) ).
thf(1172,plain,
! [SV60: set_b,SV44: set_b,SV56: b,SV24: b] :
( ( ( SV24 = SV56 )
= $false )
| ( ( SV44 = SV60 )
= $true )
| ( ( SV24 = SV56 )
= $true )
| ( ( SV24 = SV56 )
= $false )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1164]) ).
thf(1173,plain,
! [SV60: set_b,SV44: set_b,SV56: b,SV24: b] :
( ( ( SV24 != SV56 )
= $false )
| ( ( ~ ! [SY127: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV44
!= ( insert_b @ SV56 @ SY127 ) )
| ~ ~ ( member_b @ SV56 @ SY127 ) )
| ( SV60
!= ( insert_b @ SV24 @ SY127 ) ) )
| ~ ~ ( member_b @ SV24 @ SY127 ) ) )
= $true )
| ( ( SV24 = SV56 )
= $true )
| ( ( SV24 = SV56 )
= $false )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1165]) ).
thf(1174,plain,
! [SV24: b,SV60: set_b,SV73: set_b,SV56: b,SV44: set_b] :
( ( ( ( SV44
!= ( insert_b @ SV56 @ SV73 ) )
| ~ ~ ( member_b @ SV56 @ SV73 ) )
= $true )
| ( ( SV60
!= ( insert_b @ SV24 @ SV73 ) )
= $true )
| ( ( ~ ~ ( member_b @ SV24 @ SV73 ) )
= $true )
| ( ( SV24 = SV56 )
= $true )
| ( ( ~ ( ( ( insert_b @ SV24 @ SV44 )
!= ( insert_b @ SV56 @ SV60 ) )
| ~ ~ ( ~ ( ( SV24 != SV56 )
| ( SV44 = SV60 ) )
| ~ ( ~ ( ( SV24 != SV56 ) )
| ~ ! [SY127: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV44
!= ( insert_b @ SV56 @ SY127 ) )
| ~ ~ ( member_b @ SV56 @ SY127 ) )
| ( SV60
!= ( insert_b @ SV24 @ SY127 ) ) )
| ~ ~ ( member_b @ SV24 @ SY127 ) ) ) ) ) )
= $true )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1166]) ).
thf(1175,plain,
! [SV60: set_b,SV44: set_b,SV56: b,SV24: b] :
( ( ( SV24 = SV56 )
= $true )
| ( ( ~ ! [SY127: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV44
!= ( insert_b @ SV56 @ SY127 ) )
| ~ ~ ( member_b @ SV56 @ SY127 ) )
| ( SV60
!= ( insert_b @ SV24 @ SY127 ) ) )
| ~ ~ ( member_b @ SV24 @ SY127 ) ) )
= $true )
| ( ( SV44 = SV60 )
= $false )
| ( ( SV24 = SV56 )
= $false )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1168]) ).
thf(1176,plain,
! [SV24: b,SV60: set_b,SV72: set_b,SV56: b,SV44: set_b] :
( ( ( SV44
!= ( insert_b @ SV56 @ SV72 ) )
= $true )
| ( ( ~ ~ ( member_b @ SV56 @ SV72 ) )
= $true )
| ( ( SV60
!= ( insert_b @ SV24 @ SV72 ) )
= $true )
| ( ( ~ ~ ( member_b @ SV24 @ SV72 ) )
= $true )
| ( ( SV44 = SV60 )
= $false )
| ( ( ~ ( ( ( insert_b @ SV24 @ SV44 )
!= ( insert_b @ SV56 @ SV60 ) )
| ~ ~ ( ~ ( ( SV24 != SV56 )
| ( SV44 = SV60 ) )
| ~ ( ~ ( ( SV24 != SV56 ) )
| ~ ! [SY127: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV44
!= ( insert_b @ SV56 @ SY127 ) )
| ~ ~ ( member_b @ SV56 @ SY127 ) )
| ( SV60
!= ( insert_b @ SV24 @ SY127 ) ) )
| ~ ~ ( member_b @ SV24 @ SY127 ) ) ) ) ) )
= $true )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1169]) ).
thf(1177,plain,
! [SV60: set_b,SV24: b,SV56: b,SV44: set_b] :
( ( ( ~ ( ( SV44
!= ( insert_b @ SV56 @ ( sK10_SY127 @ SV24 @ SV60 @ SV56 @ SV44 ) ) )
| ~ ~ ( member_b @ SV56 @ ( sK10_SY127 @ SV24 @ SV60 @ SV56 @ SV44 ) ) ) )
= $true )
| ( ( SV24 = SV56 )
= $true )
| ( ( ( insert_b @ SV24 @ SV44 )
= ( insert_b @ SV56 @ SV60 ) )
= $false )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1170]) ).
thf(1178,plain,
! [SV44: set_b,SV56: b,SV24: b,SV60: set_b] :
( ( ( SV60
= ( insert_b @ SV24 @ ( sK10_SY127 @ SV24 @ SV60 @ SV56 @ SV44 ) ) )
= $true )
| ( ( SV24 = SV56 )
= $true )
| ( ( ( insert_b @ SV24 @ SV44 )
= ( insert_b @ SV56 @ SV60 ) )
= $false )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1171]) ).
thf(1179,plain,
! [SV60: set_b,SV44: set_b,SV56: b,SV24: b] :
( ( ( SV24 = SV56 )
= $true )
| ( ( ~ ! [SY127: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV44
!= ( insert_b @ SV56 @ SY127 ) )
| ~ ~ ( member_b @ SV56 @ SY127 ) )
| ( SV60
!= ( insert_b @ SV24 @ SY127 ) ) )
| ~ ~ ( member_b @ SV24 @ SY127 ) ) )
= $true )
| ( ( SV24 = SV56 )
= $true )
| ( ( SV24 = SV56 )
= $false )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1173]) ).
thf(1180,plain,
! [SV24: b,SV60: set_b,SV73: set_b,SV56: b,SV44: set_b] :
( ( ( SV44
!= ( insert_b @ SV56 @ SV73 ) )
= $true )
| ( ( ~ ~ ( member_b @ SV56 @ SV73 ) )
= $true )
| ( ( SV60
!= ( insert_b @ SV24 @ SV73 ) )
= $true )
| ( ( ~ ~ ( member_b @ SV24 @ SV73 ) )
= $true )
| ( ( SV24 = SV56 )
= $true )
| ( ( ~ ( ( ( insert_b @ SV24 @ SV44 )
!= ( insert_b @ SV56 @ SV60 ) )
| ~ ~ ( ~ ( ( SV24 != SV56 )
| ( SV44 = SV60 ) )
| ~ ( ~ ( ( SV24 != SV56 ) )
| ~ ! [SY127: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV44
!= ( insert_b @ SV56 @ SY127 ) )
| ~ ~ ( member_b @ SV56 @ SY127 ) )
| ( SV60
!= ( insert_b @ SV24 @ SY127 ) ) )
| ~ ~ ( member_b @ SV24 @ SY127 ) ) ) ) ) )
= $true )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1174]) ).
thf(1181,plain,
! [SV24: b,SV60: set_b,SV56: b,SV44: set_b] :
( ( ( ! [SY127: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV44
!= ( insert_b @ SV56 @ SY127 ) )
| ~ ~ ( member_b @ SV56 @ SY127 ) )
| ( SV60
!= ( insert_b @ SV24 @ SY127 ) ) )
| ~ ~ ( member_b @ SV24 @ SY127 ) ) )
= $false )
| ( ( SV24 = SV56 )
= $true )
| ( ( SV44 = SV60 )
= $false )
| ( ( SV24 = SV56 )
= $false )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1175]) ).
thf(1182,plain,
! [SV24: b,SV60: set_b,SV72: set_b,SV56: b,SV44: set_b] :
( ( ( SV44
= ( insert_b @ SV56 @ SV72 ) )
= $false )
| ( ( ~ ~ ( member_b @ SV56 @ SV72 ) )
= $true )
| ( ( SV60
!= ( insert_b @ SV24 @ SV72 ) )
= $true )
| ( ( ~ ~ ( member_b @ SV24 @ SV72 ) )
= $true )
| ( ( SV44 = SV60 )
= $false )
| ( ( ~ ( ( ( insert_b @ SV24 @ SV44 )
!= ( insert_b @ SV56 @ SV60 ) )
| ~ ~ ( ~ ( ( SV24 != SV56 )
| ( SV44 = SV60 ) )
| ~ ( ~ ( ( SV24 != SV56 ) )
| ~ ! [SY127: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV44
!= ( insert_b @ SV56 @ SY127 ) )
| ~ ~ ( member_b @ SV56 @ SY127 ) )
| ( SV60
!= ( insert_b @ SV24 @ SY127 ) ) )
| ~ ~ ( member_b @ SV24 @ SY127 ) ) ) ) ) )
= $true )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1176]) ).
thf(1183,plain,
! [SV60: set_b,SV24: b,SV56: b,SV44: set_b] :
( ( ( ( SV44
!= ( insert_b @ SV56 @ ( sK10_SY127 @ SV24 @ SV60 @ SV56 @ SV44 ) ) )
| ~ ~ ( member_b @ SV56 @ ( sK10_SY127 @ SV24 @ SV60 @ SV56 @ SV44 ) ) )
= $false )
| ( ( SV24 = SV56 )
= $true )
| ( ( ( insert_b @ SV24 @ SV44 )
= ( insert_b @ SV56 @ SV60 ) )
= $false )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1177]) ).
thf(1184,plain,
! [SV24: b,SV60: set_b,SV56: b,SV44: set_b] :
( ( ( ! [SY127: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV44
!= ( insert_b @ SV56 @ SY127 ) )
| ~ ~ ( member_b @ SV56 @ SY127 ) )
| ( SV60
!= ( insert_b @ SV24 @ SY127 ) ) )
| ~ ~ ( member_b @ SV24 @ SY127 ) ) )
= $false )
| ( ( SV24 = SV56 )
= $true )
| ( ( SV24 = SV56 )
= $true )
| ( ( SV24 = SV56 )
= $false )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1179]) ).
thf(1185,plain,
! [SV24: b,SV60: set_b,SV73: set_b,SV56: b,SV44: set_b] :
( ( ( SV44
= ( insert_b @ SV56 @ SV73 ) )
= $false )
| ( ( ~ ~ ( member_b @ SV56 @ SV73 ) )
= $true )
| ( ( SV60
!= ( insert_b @ SV24 @ SV73 ) )
= $true )
| ( ( ~ ~ ( member_b @ SV24 @ SV73 ) )
= $true )
| ( ( SV24 = SV56 )
= $true )
| ( ( ~ ( ( ( insert_b @ SV24 @ SV44 )
!= ( insert_b @ SV56 @ SV60 ) )
| ~ ~ ( ~ ( ( SV24 != SV56 )
| ( SV44 = SV60 ) )
| ~ ( ~ ( ( SV24 != SV56 ) )
| ~ ! [SY127: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV44
!= ( insert_b @ SV56 @ SY127 ) )
| ~ ~ ( member_b @ SV56 @ SY127 ) )
| ( SV60
!= ( insert_b @ SV24 @ SY127 ) ) )
| ~ ~ ( member_b @ SV24 @ SY127 ) ) ) ) ) )
= $true )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1180]) ).
thf(1186,plain,
! [SV60: set_b,SV24: b,SV56: b,SV44: set_b] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV44
!= ( insert_b @ SV56 @ ( sK11_SY127 @ SV24 @ SV60 @ SV56 @ SV44 ) ) )
| ~ ~ ( member_b @ SV56 @ ( sK11_SY127 @ SV24 @ SV60 @ SV56 @ SV44 ) ) )
| ( SV60
!= ( insert_b @ SV24 @ ( sK11_SY127 @ SV24 @ SV60 @ SV56 @ SV44 ) ) ) )
| ~ ~ ( member_b @ SV24 @ ( sK11_SY127 @ SV24 @ SV60 @ SV56 @ SV44 ) ) ) )
= $false )
| ( ( SV24 = SV56 )
= $true )
| ( ( SV44 = SV60 )
= $false )
| ( ( SV24 = SV56 )
= $false )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1181]) ).
thf(1187,plain,
! [SV24: b,SV60: set_b,SV44: set_b,SV72: set_b,SV56: b] :
( ( ( ~ ( member_b @ SV56 @ SV72 ) )
= $false )
| ( ( SV44
= ( insert_b @ SV56 @ SV72 ) )
= $false )
| ( ( SV60
!= ( insert_b @ SV24 @ SV72 ) )
= $true )
| ( ( ~ ~ ( member_b @ SV24 @ SV72 ) )
= $true )
| ( ( SV44 = SV60 )
= $false )
| ( ( ~ ( ( ( insert_b @ SV24 @ SV44 )
!= ( insert_b @ SV56 @ SV60 ) )
| ~ ~ ( ~ ( ( SV24 != SV56 )
| ( SV44 = SV60 ) )
| ~ ( ~ ( ( SV24 != SV56 ) )
| ~ ! [SY127: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV44
!= ( insert_b @ SV56 @ SY127 ) )
| ~ ~ ( member_b @ SV56 @ SY127 ) )
| ( SV60
!= ( insert_b @ SV24 @ SY127 ) ) )
| ~ ~ ( member_b @ SV24 @ SY127 ) ) ) ) ) )
= $true )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1182]) ).
thf(1188,plain,
! [SV60: set_b,SV24: b,SV56: b,SV44: set_b] :
( ( ( SV44
!= ( insert_b @ SV56 @ ( sK10_SY127 @ SV24 @ SV60 @ SV56 @ SV44 ) ) )
= $false )
| ( ( SV24 = SV56 )
= $true )
| ( ( ( insert_b @ SV24 @ SV44 )
= ( insert_b @ SV56 @ SV60 ) )
= $false )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1183]) ).
thf(1189,plain,
! [SV44: set_b,SV60: set_b,SV24: b,SV56: b] :
( ( ( ~ ~ ( member_b @ SV56 @ ( sK10_SY127 @ SV24 @ SV60 @ SV56 @ SV44 ) ) )
= $false )
| ( ( SV24 = SV56 )
= $true )
| ( ( ( insert_b @ SV24 @ SV44 )
= ( insert_b @ SV56 @ SV60 ) )
= $false )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1183]) ).
thf(1190,plain,
! [SV60: set_b,SV24: b,SV56: b,SV44: set_b] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV44
!= ( insert_b @ SV56 @ ( sK12_SY127 @ SV24 @ SV60 @ SV56 @ SV44 ) ) )
| ~ ~ ( member_b @ SV56 @ ( sK12_SY127 @ SV24 @ SV60 @ SV56 @ SV44 ) ) )
| ( SV60
!= ( insert_b @ SV24 @ ( sK12_SY127 @ SV24 @ SV60 @ SV56 @ SV44 ) ) ) )
| ~ ~ ( member_b @ SV24 @ ( sK12_SY127 @ SV24 @ SV60 @ SV56 @ SV44 ) ) ) )
= $false )
| ( ( SV24 = SV56 )
= $true )
| ( ( SV24 = SV56 )
= $true )
| ( ( SV24 = SV56 )
= $false )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1184]) ).
thf(1191,plain,
! [SV24: b,SV60: set_b,SV44: set_b,SV73: set_b,SV56: b] :
( ( ( ~ ( member_b @ SV56 @ SV73 ) )
= $false )
| ( ( SV44
= ( insert_b @ SV56 @ SV73 ) )
= $false )
| ( ( SV60
!= ( insert_b @ SV24 @ SV73 ) )
= $true )
| ( ( ~ ~ ( member_b @ SV24 @ SV73 ) )
= $true )
| ( ( SV24 = SV56 )
= $true )
| ( ( ~ ( ( ( insert_b @ SV24 @ SV44 )
!= ( insert_b @ SV56 @ SV60 ) )
| ~ ~ ( ~ ( ( SV24 != SV56 )
| ( SV44 = SV60 ) )
| ~ ( ~ ( ( SV24 != SV56 ) )
| ~ ! [SY127: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV44
!= ( insert_b @ SV56 @ SY127 ) )
| ~ ~ ( member_b @ SV56 @ SY127 ) )
| ( SV60
!= ( insert_b @ SV24 @ SY127 ) ) )
| ~ ~ ( member_b @ SV24 @ SY127 ) ) ) ) ) )
= $true )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1185]) ).
thf(1192,plain,
! [SV60: set_b,SV24: b,SV56: b,SV44: set_b] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ( SV44
!= ( insert_b @ SV56 @ ( sK11_SY127 @ SV24 @ SV60 @ SV56 @ SV44 ) ) )
| ~ ~ ( member_b @ SV56 @ ( sK11_SY127 @ SV24 @ SV60 @ SV56 @ SV44 ) ) )
| ( SV60
!= ( insert_b @ SV24 @ ( sK11_SY127 @ SV24 @ SV60 @ SV56 @ SV44 ) ) ) )
| ~ ~ ( member_b @ SV24 @ ( sK11_SY127 @ SV24 @ SV60 @ SV56 @ SV44 ) ) ) )
= $true )
| ( ( SV24 = SV56 )
= $true )
| ( ( SV44 = SV60 )
= $false )
| ( ( SV24 = SV56 )
= $false )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1186]) ).
thf(1193,plain,
! [SV24: b,SV60: set_b,SV44: set_b,SV72: set_b,SV56: b] :
( ( ( member_b @ SV56 @ SV72 )
= $true )
| ( ( SV44
= ( insert_b @ SV56 @ SV72 ) )
= $false )
| ( ( SV60
!= ( insert_b @ SV24 @ SV72 ) )
= $true )
| ( ( ~ ~ ( member_b @ SV24 @ SV72 ) )
= $true )
| ( ( SV44 = SV60 )
= $false )
| ( ( ~ ( ( ( insert_b @ SV24 @ SV44 )
!= ( insert_b @ SV56 @ SV60 ) )
| ~ ~ ( ~ ( ( SV24 != SV56 )
| ( SV44 = SV60 ) )
| ~ ( ~ ( ( SV24 != SV56 ) )
| ~ ! [SY127: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV44
!= ( insert_b @ SV56 @ SY127 ) )
| ~ ~ ( member_b @ SV56 @ SY127 ) )
| ( SV60
!= ( insert_b @ SV24 @ SY127 ) ) )
| ~ ~ ( member_b @ SV24 @ SY127 ) ) ) ) ) )
= $true )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1187]) ).
thf(1194,plain,
! [SV60: set_b,SV24: b,SV56: b,SV44: set_b] :
( ( ( SV44
= ( insert_b @ SV56 @ ( sK10_SY127 @ SV24 @ SV60 @ SV56 @ SV44 ) ) )
= $true )
| ( ( SV24 = SV56 )
= $true )
| ( ( ( insert_b @ SV24 @ SV44 )
= ( insert_b @ SV56 @ SV60 ) )
= $false )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1188]) ).
thf(1195,plain,
! [SV44: set_b,SV60: set_b,SV24: b,SV56: b] :
( ( ( ~ ( member_b @ SV56 @ ( sK10_SY127 @ SV24 @ SV60 @ SV56 @ SV44 ) ) )
= $true )
| ( ( SV24 = SV56 )
= $true )
| ( ( ( insert_b @ SV24 @ SV44 )
= ( insert_b @ SV56 @ SV60 ) )
= $false )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1189]) ).
thf(1196,plain,
! [SV60: set_b,SV24: b,SV56: b,SV44: set_b] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ( SV44
!= ( insert_b @ SV56 @ ( sK12_SY127 @ SV24 @ SV60 @ SV56 @ SV44 ) ) )
| ~ ~ ( member_b @ SV56 @ ( sK12_SY127 @ SV24 @ SV60 @ SV56 @ SV44 ) ) )
| ( SV60
!= ( insert_b @ SV24 @ ( sK12_SY127 @ SV24 @ SV60 @ SV56 @ SV44 ) ) ) )
| ~ ~ ( member_b @ SV24 @ ( sK12_SY127 @ SV24 @ SV60 @ SV56 @ SV44 ) ) ) )
= $true )
| ( ( SV24 = SV56 )
= $true )
| ( ( SV24 = SV56 )
= $true )
| ( ( SV24 = SV56 )
= $false )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1190]) ).
thf(1197,plain,
! [SV24: b,SV60: set_b,SV44: set_b,SV73: set_b,SV56: b] :
( ( ( member_b @ SV56 @ SV73 )
= $true )
| ( ( SV44
= ( insert_b @ SV56 @ SV73 ) )
= $false )
| ( ( SV60
!= ( insert_b @ SV24 @ SV73 ) )
= $true )
| ( ( ~ ~ ( member_b @ SV24 @ SV73 ) )
= $true )
| ( ( SV24 = SV56 )
= $true )
| ( ( ~ ( ( ( insert_b @ SV24 @ SV44 )
!= ( insert_b @ SV56 @ SV60 ) )
| ~ ~ ( ~ ( ( SV24 != SV56 )
| ( SV44 = SV60 ) )
| ~ ( ~ ( ( SV24 != SV56 ) )
| ~ ! [SY127: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV44
!= ( insert_b @ SV56 @ SY127 ) )
| ~ ~ ( member_b @ SV56 @ SY127 ) )
| ( SV60
!= ( insert_b @ SV24 @ SY127 ) ) )
| ~ ~ ( member_b @ SV24 @ SY127 ) ) ) ) ) )
= $true )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1191]) ).
thf(1198,plain,
! [SV60: set_b,SV24: b,SV56: b,SV44: set_b] :
( ( ( ~ ~ ( ~ ~ ( ( SV44
!= ( insert_b @ SV56 @ ( sK11_SY127 @ SV24 @ SV60 @ SV56 @ SV44 ) ) )
| ~ ~ ( member_b @ SV56 @ ( sK11_SY127 @ SV24 @ SV60 @ SV56 @ SV44 ) ) )
| ( SV60
!= ( insert_b @ SV24 @ ( sK11_SY127 @ SV24 @ SV60 @ SV56 @ SV44 ) ) ) )
| ~ ~ ( member_b @ SV24 @ ( sK11_SY127 @ SV24 @ SV60 @ SV56 @ SV44 ) ) )
= $false )
| ( ( SV24 = SV56 )
= $true )
| ( ( SV44 = SV60 )
= $false )
| ( ( SV24 = SV56 )
= $false )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1192]) ).
thf(1199,plain,
! [SV56: b,SV44: set_b,SV72: set_b,SV24: b,SV60: set_b] :
( ( ( SV60
= ( insert_b @ SV24 @ SV72 ) )
= $false )
| ( ( SV44
= ( insert_b @ SV56 @ SV72 ) )
= $false )
| ( ( member_b @ SV56 @ SV72 )
= $true )
| ( ( ~ ~ ( member_b @ SV24 @ SV72 ) )
= $true )
| ( ( SV44 = SV60 )
= $false )
| ( ( ~ ( ( ( insert_b @ SV24 @ SV44 )
!= ( insert_b @ SV56 @ SV60 ) )
| ~ ~ ( ~ ( ( SV24 != SV56 )
| ( SV44 = SV60 ) )
| ~ ( ~ ( ( SV24 != SV56 ) )
| ~ ! [SY127: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV44
!= ( insert_b @ SV56 @ SY127 ) )
| ~ ~ ( member_b @ SV56 @ SY127 ) )
| ( SV60
!= ( insert_b @ SV24 @ SY127 ) ) )
| ~ ~ ( member_b @ SV24 @ SY127 ) ) ) ) ) )
= $true )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1193]) ).
thf(1200,plain,
! [SV44: set_b,SV60: set_b,SV24: b,SV56: b] :
( ( ( member_b @ SV56 @ ( sK10_SY127 @ SV24 @ SV60 @ SV56 @ SV44 ) )
= $false )
| ( ( SV24 = SV56 )
= $true )
| ( ( ( insert_b @ SV24 @ SV44 )
= ( insert_b @ SV56 @ SV60 ) )
= $false )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1195]) ).
thf(1201,plain,
! [SV60: set_b,SV24: b,SV56: b,SV44: set_b] :
( ( ( ~ ~ ( ~ ~ ( ( SV44
!= ( insert_b @ SV56 @ ( sK12_SY127 @ SV24 @ SV60 @ SV56 @ SV44 ) ) )
| ~ ~ ( member_b @ SV56 @ ( sK12_SY127 @ SV24 @ SV60 @ SV56 @ SV44 ) ) )
| ( SV60
!= ( insert_b @ SV24 @ ( sK12_SY127 @ SV24 @ SV60 @ SV56 @ SV44 ) ) ) )
| ~ ~ ( member_b @ SV24 @ ( sK12_SY127 @ SV24 @ SV60 @ SV56 @ SV44 ) ) )
= $false )
| ( ( SV24 = SV56 )
= $true )
| ( ( SV24 = SV56 )
= $true )
| ( ( SV24 = SV56 )
= $false )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1196]) ).
thf(1202,plain,
! [SV56: b,SV44: set_b,SV73: set_b,SV24: b,SV60: set_b] :
( ( ( SV60
= ( insert_b @ SV24 @ SV73 ) )
= $false )
| ( ( SV44
= ( insert_b @ SV56 @ SV73 ) )
= $false )
| ( ( member_b @ SV56 @ SV73 )
= $true )
| ( ( ~ ~ ( member_b @ SV24 @ SV73 ) )
= $true )
| ( ( SV24 = SV56 )
= $true )
| ( ( ~ ( ( ( insert_b @ SV24 @ SV44 )
!= ( insert_b @ SV56 @ SV60 ) )
| ~ ~ ( ~ ( ( SV24 != SV56 )
| ( SV44 = SV60 ) )
| ~ ( ~ ( ( SV24 != SV56 ) )
| ~ ! [SY127: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV44
!= ( insert_b @ SV56 @ SY127 ) )
| ~ ~ ( member_b @ SV56 @ SY127 ) )
| ( SV60
!= ( insert_b @ SV24 @ SY127 ) ) )
| ~ ~ ( member_b @ SV24 @ SY127 ) ) ) ) ) )
= $true )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1197]) ).
thf(1203,plain,
! [SV60: set_b,SV24: b,SV56: b,SV44: set_b] :
( ( ( ~ ~ ( ~ ~ ( ( SV44
!= ( insert_b @ SV56 @ ( sK11_SY127 @ SV24 @ SV60 @ SV56 @ SV44 ) ) )
| ~ ~ ( member_b @ SV56 @ ( sK11_SY127 @ SV24 @ SV60 @ SV56 @ SV44 ) ) )
| ( SV60
!= ( insert_b @ SV24 @ ( sK11_SY127 @ SV24 @ SV60 @ SV56 @ SV44 ) ) ) ) )
= $false )
| ( ( SV24 = SV56 )
= $true )
| ( ( SV44 = SV60 )
= $false )
| ( ( SV24 = SV56 )
= $false )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1198]) ).
thf(1204,plain,
! [SV44: set_b,SV56: b,SV60: set_b,SV24: b] :
( ( ( ~ ~ ( member_b @ SV24 @ ( sK11_SY127 @ SV24 @ SV60 @ SV56 @ SV44 ) ) )
= $false )
| ( ( SV24 = SV56 )
= $true )
| ( ( SV44 = SV60 )
= $false )
| ( ( SV24 = SV56 )
= $false )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1198]) ).
thf(1205,plain,
! [SV60: set_b,SV44: set_b,SV56: b,SV72: set_b,SV24: b] :
( ( ( ~ ( member_b @ SV24 @ SV72 ) )
= $false )
| ( ( member_b @ SV56 @ SV72 )
= $true )
| ( ( SV44
= ( insert_b @ SV56 @ SV72 ) )
= $false )
| ( ( SV60
= ( insert_b @ SV24 @ SV72 ) )
= $false )
| ( ( SV44 = SV60 )
= $false )
| ( ( ~ ( ( ( insert_b @ SV24 @ SV44 )
!= ( insert_b @ SV56 @ SV60 ) )
| ~ ~ ( ~ ( ( SV24 != SV56 )
| ( SV44 = SV60 ) )
| ~ ( ~ ( ( SV24 != SV56 ) )
| ~ ! [SY127: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV44
!= ( insert_b @ SV56 @ SY127 ) )
| ~ ~ ( member_b @ SV56 @ SY127 ) )
| ( SV60
!= ( insert_b @ SV24 @ SY127 ) ) )
| ~ ~ ( member_b @ SV24 @ SY127 ) ) ) ) ) )
= $true )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1199]) ).
thf(1206,plain,
! [SV60: set_b,SV24: b,SV56: b,SV44: set_b] :
( ( ( ~ ~ ( ~ ~ ( ( SV44
!= ( insert_b @ SV56 @ ( sK12_SY127 @ SV24 @ SV60 @ SV56 @ SV44 ) ) )
| ~ ~ ( member_b @ SV56 @ ( sK12_SY127 @ SV24 @ SV60 @ SV56 @ SV44 ) ) )
| ( SV60
!= ( insert_b @ SV24 @ ( sK12_SY127 @ SV24 @ SV60 @ SV56 @ SV44 ) ) ) ) )
= $false )
| ( ( SV24 = SV56 )
= $true )
| ( ( SV24 = SV56 )
= $true )
| ( ( SV24 = SV56 )
= $false )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1201]) ).
thf(1207,plain,
! [SV44: set_b,SV56: b,SV60: set_b,SV24: b] :
( ( ( ~ ~ ( member_b @ SV24 @ ( sK12_SY127 @ SV24 @ SV60 @ SV56 @ SV44 ) ) )
= $false )
| ( ( SV24 = SV56 )
= $true )
| ( ( SV24 = SV56 )
= $true )
| ( ( SV24 = SV56 )
= $false )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1201]) ).
thf(1208,plain,
! [SV60: set_b,SV44: set_b,SV56: b,SV73: set_b,SV24: b] :
( ( ( ~ ( member_b @ SV24 @ SV73 ) )
= $false )
| ( ( member_b @ SV56 @ SV73 )
= $true )
| ( ( SV44
= ( insert_b @ SV56 @ SV73 ) )
= $false )
| ( ( SV60
= ( insert_b @ SV24 @ SV73 ) )
= $false )
| ( ( SV24 = SV56 )
= $true )
| ( ( ~ ( ( ( insert_b @ SV24 @ SV44 )
!= ( insert_b @ SV56 @ SV60 ) )
| ~ ~ ( ~ ( ( SV24 != SV56 )
| ( SV44 = SV60 ) )
| ~ ( ~ ( ( SV24 != SV56 ) )
| ~ ! [SY127: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV44
!= ( insert_b @ SV56 @ SY127 ) )
| ~ ~ ( member_b @ SV56 @ SY127 ) )
| ( SV60
!= ( insert_b @ SV24 @ SY127 ) ) )
| ~ ~ ( member_b @ SV24 @ SY127 ) ) ) ) ) )
= $true )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1202]) ).
thf(1209,plain,
! [SV60: set_b,SV24: b,SV56: b,SV44: set_b] :
( ( ( ~ ( ~ ~ ( ( SV44
!= ( insert_b @ SV56 @ ( sK11_SY127 @ SV24 @ SV60 @ SV56 @ SV44 ) ) )
| ~ ~ ( member_b @ SV56 @ ( sK11_SY127 @ SV24 @ SV60 @ SV56 @ SV44 ) ) )
| ( SV60
!= ( insert_b @ SV24 @ ( sK11_SY127 @ SV24 @ SV60 @ SV56 @ SV44 ) ) ) ) )
= $true )
| ( ( SV24 = SV56 )
= $true )
| ( ( SV44 = SV60 )
= $false )
| ( ( SV24 = SV56 )
= $false )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1203]) ).
thf(1210,plain,
! [SV44: set_b,SV56: b,SV60: set_b,SV24: b] :
( ( ( ~ ( member_b @ SV24 @ ( sK11_SY127 @ SV24 @ SV60 @ SV56 @ SV44 ) ) )
= $true )
| ( ( SV24 = SV56 )
= $true )
| ( ( SV44 = SV60 )
= $false )
| ( ( SV24 = SV56 )
= $false )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1204]) ).
thf(1211,plain,
! [SV60: set_b,SV44: set_b,SV56: b,SV72: set_b,SV24: b] :
( ( ( member_b @ SV24 @ SV72 )
= $true )
| ( ( member_b @ SV56 @ SV72 )
= $true )
| ( ( SV44
= ( insert_b @ SV56 @ SV72 ) )
= $false )
| ( ( SV60
= ( insert_b @ SV24 @ SV72 ) )
= $false )
| ( ( SV44 = SV60 )
= $false )
| ( ( ~ ( ( ( insert_b @ SV24 @ SV44 )
!= ( insert_b @ SV56 @ SV60 ) )
| ~ ~ ( ~ ( ( SV24 != SV56 )
| ( SV44 = SV60 ) )
| ~ ( ~ ( ( SV24 != SV56 ) )
| ~ ! [SY127: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV44
!= ( insert_b @ SV56 @ SY127 ) )
| ~ ~ ( member_b @ SV56 @ SY127 ) )
| ( SV60
!= ( insert_b @ SV24 @ SY127 ) ) )
| ~ ~ ( member_b @ SV24 @ SY127 ) ) ) ) ) )
= $true )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1205]) ).
thf(1212,plain,
! [SV60: set_b,SV24: b,SV56: b,SV44: set_b] :
( ( ( ~ ( ~ ~ ( ( SV44
!= ( insert_b @ SV56 @ ( sK12_SY127 @ SV24 @ SV60 @ SV56 @ SV44 ) ) )
| ~ ~ ( member_b @ SV56 @ ( sK12_SY127 @ SV24 @ SV60 @ SV56 @ SV44 ) ) )
| ( SV60
!= ( insert_b @ SV24 @ ( sK12_SY127 @ SV24 @ SV60 @ SV56 @ SV44 ) ) ) ) )
= $true )
| ( ( SV24 = SV56 )
= $true )
| ( ( SV24 = SV56 )
= $true )
| ( ( SV24 = SV56 )
= $false )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1206]) ).
thf(1213,plain,
! [SV44: set_b,SV56: b,SV60: set_b,SV24: b] :
( ( ( ~ ( member_b @ SV24 @ ( sK12_SY127 @ SV24 @ SV60 @ SV56 @ SV44 ) ) )
= $true )
| ( ( SV24 = SV56 )
= $true )
| ( ( SV24 = SV56 )
= $true )
| ( ( SV24 = SV56 )
= $false )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1207]) ).
thf(1214,plain,
! [SV60: set_b,SV44: set_b,SV56: b,SV73: set_b,SV24: b] :
( ( ( member_b @ SV24 @ SV73 )
= $true )
| ( ( member_b @ SV56 @ SV73 )
= $true )
| ( ( SV44
= ( insert_b @ SV56 @ SV73 ) )
= $false )
| ( ( SV60
= ( insert_b @ SV24 @ SV73 ) )
= $false )
| ( ( SV24 = SV56 )
= $true )
| ( ( ~ ( ( ( insert_b @ SV24 @ SV44 )
!= ( insert_b @ SV56 @ SV60 ) )
| ~ ~ ( ~ ( ( SV24 != SV56 )
| ( SV44 = SV60 ) )
| ~ ( ~ ( ( SV24 != SV56 ) )
| ~ ! [SY127: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV44
!= ( insert_b @ SV56 @ SY127 ) )
| ~ ~ ( member_b @ SV56 @ SY127 ) )
| ( SV60
!= ( insert_b @ SV24 @ SY127 ) ) )
| ~ ~ ( member_b @ SV24 @ SY127 ) ) ) ) ) )
= $true )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1208]) ).
thf(1215,plain,
! [SV60: set_b,SV24: b,SV56: b,SV44: set_b] :
( ( ( ~ ~ ( ( SV44
!= ( insert_b @ SV56 @ ( sK11_SY127 @ SV24 @ SV60 @ SV56 @ SV44 ) ) )
| ~ ~ ( member_b @ SV56 @ ( sK11_SY127 @ SV24 @ SV60 @ SV56 @ SV44 ) ) )
| ( SV60
!= ( insert_b @ SV24 @ ( sK11_SY127 @ SV24 @ SV60 @ SV56 @ SV44 ) ) ) )
= $false )
| ( ( SV24 = SV56 )
= $true )
| ( ( SV44 = SV60 )
= $false )
| ( ( SV24 = SV56 )
= $false )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1209]) ).
thf(1216,plain,
! [SV44: set_b,SV56: b,SV60: set_b,SV24: b] :
( ( ( member_b @ SV24 @ ( sK11_SY127 @ SV24 @ SV60 @ SV56 @ SV44 ) )
= $false )
| ( ( SV24 = SV56 )
= $true )
| ( ( SV44 = SV60 )
= $false )
| ( ( SV24 = SV56 )
= $false )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1210]) ).
thf(1217,plain,
! [SV72: set_b,SV60: set_b,SV56: b,SV44: set_b,SV24: b] :
( ( ( ( ( insert_b @ SV24 @ SV44 )
!= ( insert_b @ SV56 @ SV60 ) )
| ~ ~ ( ~ ( ( SV24 != SV56 )
| ( SV44 = SV60 ) )
| ~ ( ~ ( ( SV24 != SV56 ) )
| ~ ! [SY127: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV44
!= ( insert_b @ SV56 @ SY127 ) )
| ~ ~ ( member_b @ SV56 @ SY127 ) )
| ( SV60
!= ( insert_b @ SV24 @ SY127 ) ) )
| ~ ~ ( member_b @ SV24 @ SY127 ) ) ) ) )
= $false )
| ( ( SV44 = SV60 )
= $false )
| ( ( SV60
= ( insert_b @ SV24 @ SV72 ) )
= $false )
| ( ( SV44
= ( insert_b @ SV56 @ SV72 ) )
= $false )
| ( ( member_b @ SV56 @ SV72 )
= $true )
| ( ( member_b @ SV24 @ SV72 )
= $true )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1211]) ).
thf(1218,plain,
! [SV60: set_b,SV24: b,SV56: b,SV44: set_b] :
( ( ( ~ ~ ( ( SV44
!= ( insert_b @ SV56 @ ( sK12_SY127 @ SV24 @ SV60 @ SV56 @ SV44 ) ) )
| ~ ~ ( member_b @ SV56 @ ( sK12_SY127 @ SV24 @ SV60 @ SV56 @ SV44 ) ) )
| ( SV60
!= ( insert_b @ SV24 @ ( sK12_SY127 @ SV24 @ SV60 @ SV56 @ SV44 ) ) ) )
= $false )
| ( ( SV24 = SV56 )
= $true )
| ( ( SV24 = SV56 )
= $true )
| ( ( SV24 = SV56 )
= $false )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1212]) ).
thf(1219,plain,
! [SV44: set_b,SV56: b,SV60: set_b,SV24: b] :
( ( ( member_b @ SV24 @ ( sK12_SY127 @ SV24 @ SV60 @ SV56 @ SV44 ) )
= $false )
| ( ( SV24 = SV56 )
= $true )
| ( ( SV24 = SV56 )
= $true )
| ( ( SV24 = SV56 )
= $false )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1213]) ).
thf(1220,plain,
! [SV73: set_b,SV60: set_b,SV56: b,SV44: set_b,SV24: b] :
( ( ( ( ( insert_b @ SV24 @ SV44 )
!= ( insert_b @ SV56 @ SV60 ) )
| ~ ~ ( ~ ( ( SV24 != SV56 )
| ( SV44 = SV60 ) )
| ~ ( ~ ( ( SV24 != SV56 ) )
| ~ ! [SY127: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV44
!= ( insert_b @ SV56 @ SY127 ) )
| ~ ~ ( member_b @ SV56 @ SY127 ) )
| ( SV60
!= ( insert_b @ SV24 @ SY127 ) ) )
| ~ ~ ( member_b @ SV24 @ SY127 ) ) ) ) )
= $false )
| ( ( SV24 = SV56 )
= $true )
| ( ( SV60
= ( insert_b @ SV24 @ SV73 ) )
= $false )
| ( ( SV44
= ( insert_b @ SV56 @ SV73 ) )
= $false )
| ( ( member_b @ SV56 @ SV73 )
= $true )
| ( ( member_b @ SV24 @ SV73 )
= $true )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1214]) ).
thf(1221,plain,
! [SV60: set_b,SV24: b,SV56: b,SV44: set_b] :
( ( ( ~ ~ ( ( SV44
!= ( insert_b @ SV56 @ ( sK11_SY127 @ SV24 @ SV60 @ SV56 @ SV44 ) ) )
| ~ ~ ( member_b @ SV56 @ ( sK11_SY127 @ SV24 @ SV60 @ SV56 @ SV44 ) ) ) )
= $false )
| ( ( SV24 = SV56 )
= $true )
| ( ( SV44 = SV60 )
= $false )
| ( ( SV24 = SV56 )
= $false )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1215]) ).
thf(1222,plain,
! [SV44: set_b,SV56: b,SV24: b,SV60: set_b] :
( ( ( SV60
!= ( insert_b @ SV24 @ ( sK11_SY127 @ SV24 @ SV60 @ SV56 @ SV44 ) ) )
= $false )
| ( ( SV24 = SV56 )
= $true )
| ( ( SV44 = SV60 )
= $false )
| ( ( SV24 = SV56 )
= $false )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1215]) ).
thf(1223,plain,
! [SV72: set_b,SV60: set_b,SV56: b,SV44: set_b,SV24: b] :
( ( ( ( insert_b @ SV24 @ SV44 )
!= ( insert_b @ SV56 @ SV60 ) )
= $false )
| ( ( SV44 = SV60 )
= $false )
| ( ( SV60
= ( insert_b @ SV24 @ SV72 ) )
= $false )
| ( ( SV44
= ( insert_b @ SV56 @ SV72 ) )
= $false )
| ( ( member_b @ SV56 @ SV72 )
= $true )
| ( ( member_b @ SV24 @ SV72 )
= $true )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1217]) ).
thf(1224,plain,
! [SV72: set_b,SV60: set_b,SV44: set_b,SV56: b,SV24: b] :
( ( ( ~ ~ ( ~ ( ( SV24 != SV56 )
| ( SV44 = SV60 ) )
| ~ ( ~ ( ( SV24 != SV56 ) )
| ~ ! [SY127: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV44
!= ( insert_b @ SV56 @ SY127 ) )
| ~ ~ ( member_b @ SV56 @ SY127 ) )
| ( SV60
!= ( insert_b @ SV24 @ SY127 ) ) )
| ~ ~ ( member_b @ SV24 @ SY127 ) ) ) ) )
= $false )
| ( ( SV44 = SV60 )
= $false )
| ( ( SV60
= ( insert_b @ SV24 @ SV72 ) )
= $false )
| ( ( SV44
= ( insert_b @ SV56 @ SV72 ) )
= $false )
| ( ( member_b @ SV56 @ SV72 )
= $true )
| ( ( member_b @ SV24 @ SV72 )
= $true )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1217]) ).
thf(1225,plain,
! [SV60: set_b,SV24: b,SV56: b,SV44: set_b] :
( ( ( ~ ~ ( ( SV44
!= ( insert_b @ SV56 @ ( sK12_SY127 @ SV24 @ SV60 @ SV56 @ SV44 ) ) )
| ~ ~ ( member_b @ SV56 @ ( sK12_SY127 @ SV24 @ SV60 @ SV56 @ SV44 ) ) ) )
= $false )
| ( ( SV24 = SV56 )
= $true )
| ( ( SV24 = SV56 )
= $true )
| ( ( SV24 = SV56 )
= $false )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1218]) ).
thf(1226,plain,
! [SV44: set_b,SV56: b,SV24: b,SV60: set_b] :
( ( ( SV60
!= ( insert_b @ SV24 @ ( sK12_SY127 @ SV24 @ SV60 @ SV56 @ SV44 ) ) )
= $false )
| ( ( SV24 = SV56 )
= $true )
| ( ( SV24 = SV56 )
= $true )
| ( ( SV24 = SV56 )
= $false )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1218]) ).
thf(1227,plain,
! [SV73: set_b,SV60: set_b,SV56: b,SV44: set_b,SV24: b] :
( ( ( ( insert_b @ SV24 @ SV44 )
!= ( insert_b @ SV56 @ SV60 ) )
= $false )
| ( ( SV24 = SV56 )
= $true )
| ( ( SV60
= ( insert_b @ SV24 @ SV73 ) )
= $false )
| ( ( SV44
= ( insert_b @ SV56 @ SV73 ) )
= $false )
| ( ( member_b @ SV56 @ SV73 )
= $true )
| ( ( member_b @ SV24 @ SV73 )
= $true )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1220]) ).
thf(1228,plain,
! [SV73: set_b,SV60: set_b,SV44: set_b,SV56: b,SV24: b] :
( ( ( ~ ~ ( ~ ( ( SV24 != SV56 )
| ( SV44 = SV60 ) )
| ~ ( ~ ( ( SV24 != SV56 ) )
| ~ ! [SY127: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV44
!= ( insert_b @ SV56 @ SY127 ) )
| ~ ~ ( member_b @ SV56 @ SY127 ) )
| ( SV60
!= ( insert_b @ SV24 @ SY127 ) ) )
| ~ ~ ( member_b @ SV24 @ SY127 ) ) ) ) )
= $false )
| ( ( SV24 = SV56 )
= $true )
| ( ( SV60
= ( insert_b @ SV24 @ SV73 ) )
= $false )
| ( ( SV44
= ( insert_b @ SV56 @ SV73 ) )
= $false )
| ( ( member_b @ SV56 @ SV73 )
= $true )
| ( ( member_b @ SV24 @ SV73 )
= $true )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1220]) ).
thf(1229,plain,
! [SV60: set_b,SV24: b,SV56: b,SV44: set_b] :
( ( ( ~ ( ( SV44
!= ( insert_b @ SV56 @ ( sK11_SY127 @ SV24 @ SV60 @ SV56 @ SV44 ) ) )
| ~ ~ ( member_b @ SV56 @ ( sK11_SY127 @ SV24 @ SV60 @ SV56 @ SV44 ) ) ) )
= $true )
| ( ( SV24 = SV56 )
= $true )
| ( ( SV44 = SV60 )
= $false )
| ( ( SV24 = SV56 )
= $false )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1221]) ).
thf(1230,plain,
! [SV44: set_b,SV56: b,SV24: b,SV60: set_b] :
( ( ( SV60
= ( insert_b @ SV24 @ ( sK11_SY127 @ SV24 @ SV60 @ SV56 @ SV44 ) ) )
= $true )
| ( ( SV24 = SV56 )
= $true )
| ( ( SV44 = SV60 )
= $false )
| ( ( SV24 = SV56 )
= $false )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1222]) ).
thf(1231,plain,
! [SV72: set_b,SV60: set_b,SV56: b,SV44: set_b,SV24: b] :
( ( ( ( insert_b @ SV24 @ SV44 )
= ( insert_b @ SV56 @ SV60 ) )
= $true )
| ( ( SV44 = SV60 )
= $false )
| ( ( SV60
= ( insert_b @ SV24 @ SV72 ) )
= $false )
| ( ( SV44
= ( insert_b @ SV56 @ SV72 ) )
= $false )
| ( ( member_b @ SV56 @ SV72 )
= $true )
| ( ( member_b @ SV24 @ SV72 )
= $true )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1223]) ).
thf(1232,plain,
! [SV72: set_b,SV60: set_b,SV44: set_b,SV56: b,SV24: b] :
( ( ( ~ ( ~ ( ( SV24 != SV56 )
| ( SV44 = SV60 ) )
| ~ ( ~ ( ( SV24 != SV56 ) )
| ~ ! [SY127: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV44
!= ( insert_b @ SV56 @ SY127 ) )
| ~ ~ ( member_b @ SV56 @ SY127 ) )
| ( SV60
!= ( insert_b @ SV24 @ SY127 ) ) )
| ~ ~ ( member_b @ SV24 @ SY127 ) ) ) ) )
= $true )
| ( ( SV44 = SV60 )
= $false )
| ( ( SV60
= ( insert_b @ SV24 @ SV72 ) )
= $false )
| ( ( SV44
= ( insert_b @ SV56 @ SV72 ) )
= $false )
| ( ( member_b @ SV56 @ SV72 )
= $true )
| ( ( member_b @ SV24 @ SV72 )
= $true )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1224]) ).
thf(1233,plain,
! [SV60: set_b,SV24: b,SV56: b,SV44: set_b] :
( ( ( ~ ( ( SV44
!= ( insert_b @ SV56 @ ( sK12_SY127 @ SV24 @ SV60 @ SV56 @ SV44 ) ) )
| ~ ~ ( member_b @ SV56 @ ( sK12_SY127 @ SV24 @ SV60 @ SV56 @ SV44 ) ) ) )
= $true )
| ( ( SV24 = SV56 )
= $true )
| ( ( SV24 = SV56 )
= $true )
| ( ( SV24 = SV56 )
= $false )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1225]) ).
thf(1234,plain,
! [SV44: set_b,SV56: b,SV24: b,SV60: set_b] :
( ( ( SV60
= ( insert_b @ SV24 @ ( sK12_SY127 @ SV24 @ SV60 @ SV56 @ SV44 ) ) )
= $true )
| ( ( SV24 = SV56 )
= $true )
| ( ( SV24 = SV56 )
= $true )
| ( ( SV24 = SV56 )
= $false )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1226]) ).
thf(1235,plain,
! [SV73: set_b,SV60: set_b,SV56: b,SV44: set_b,SV24: b] :
( ( ( ( insert_b @ SV24 @ SV44 )
= ( insert_b @ SV56 @ SV60 ) )
= $true )
| ( ( SV24 = SV56 )
= $true )
| ( ( SV60
= ( insert_b @ SV24 @ SV73 ) )
= $false )
| ( ( SV44
= ( insert_b @ SV56 @ SV73 ) )
= $false )
| ( ( member_b @ SV56 @ SV73 )
= $true )
| ( ( member_b @ SV24 @ SV73 )
= $true )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1227]) ).
thf(1236,plain,
! [SV73: set_b,SV60: set_b,SV44: set_b,SV56: b,SV24: b] :
( ( ( ~ ( ~ ( ( SV24 != SV56 )
| ( SV44 = SV60 ) )
| ~ ( ~ ( ( SV24 != SV56 ) )
| ~ ! [SY127: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV44
!= ( insert_b @ SV56 @ SY127 ) )
| ~ ~ ( member_b @ SV56 @ SY127 ) )
| ( SV60
!= ( insert_b @ SV24 @ SY127 ) ) )
| ~ ~ ( member_b @ SV24 @ SY127 ) ) ) ) )
= $true )
| ( ( SV24 = SV56 )
= $true )
| ( ( SV60
= ( insert_b @ SV24 @ SV73 ) )
= $false )
| ( ( SV44
= ( insert_b @ SV56 @ SV73 ) )
= $false )
| ( ( member_b @ SV56 @ SV73 )
= $true )
| ( ( member_b @ SV24 @ SV73 )
= $true )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1228]) ).
thf(1237,plain,
! [SV60: set_b,SV24: b,SV56: b,SV44: set_b] :
( ( ( ( SV44
!= ( insert_b @ SV56 @ ( sK11_SY127 @ SV24 @ SV60 @ SV56 @ SV44 ) ) )
| ~ ~ ( member_b @ SV56 @ ( sK11_SY127 @ SV24 @ SV60 @ SV56 @ SV44 ) ) )
= $false )
| ( ( SV24 = SV56 )
= $true )
| ( ( SV44 = SV60 )
= $false )
| ( ( SV24 = SV56 )
= $false )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1229]) ).
thf(1238,plain,
! [SV72: set_b,SV60: set_b,SV44: set_b,SV56: b,SV24: b] :
( ( ( ~ ( ( SV24 != SV56 )
| ( SV44 = SV60 ) )
| ~ ( ~ ( ( SV24 != SV56 ) )
| ~ ! [SY127: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV44
!= ( insert_b @ SV56 @ SY127 ) )
| ~ ~ ( member_b @ SV56 @ SY127 ) )
| ( SV60
!= ( insert_b @ SV24 @ SY127 ) ) )
| ~ ~ ( member_b @ SV24 @ SY127 ) ) ) )
= $false )
| ( ( SV44 = SV60 )
= $false )
| ( ( SV60
= ( insert_b @ SV24 @ SV72 ) )
= $false )
| ( ( SV44
= ( insert_b @ SV56 @ SV72 ) )
= $false )
| ( ( member_b @ SV56 @ SV72 )
= $true )
| ( ( member_b @ SV24 @ SV72 )
= $true )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1232]) ).
thf(1239,plain,
! [SV60: set_b,SV24: b,SV56: b,SV44: set_b] :
( ( ( ( SV44
!= ( insert_b @ SV56 @ ( sK12_SY127 @ SV24 @ SV60 @ SV56 @ SV44 ) ) )
| ~ ~ ( member_b @ SV56 @ ( sK12_SY127 @ SV24 @ SV60 @ SV56 @ SV44 ) ) )
= $false )
| ( ( SV24 = SV56 )
= $true )
| ( ( SV24 = SV56 )
= $true )
| ( ( SV24 = SV56 )
= $false )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1233]) ).
thf(1240,plain,
! [SV73: set_b,SV60: set_b,SV44: set_b,SV56: b,SV24: b] :
( ( ( ~ ( ( SV24 != SV56 )
| ( SV44 = SV60 ) )
| ~ ( ~ ( ( SV24 != SV56 ) )
| ~ ! [SY127: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV44
!= ( insert_b @ SV56 @ SY127 ) )
| ~ ~ ( member_b @ SV56 @ SY127 ) )
| ( SV60
!= ( insert_b @ SV24 @ SY127 ) ) )
| ~ ~ ( member_b @ SV24 @ SY127 ) ) ) )
= $false )
| ( ( SV24 = SV56 )
= $true )
| ( ( SV60
= ( insert_b @ SV24 @ SV73 ) )
= $false )
| ( ( SV44
= ( insert_b @ SV56 @ SV73 ) )
= $false )
| ( ( member_b @ SV56 @ SV73 )
= $true )
| ( ( member_b @ SV24 @ SV73 )
= $true )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1236]) ).
thf(1241,plain,
! [SV60: set_b,SV24: b,SV56: b,SV44: set_b] :
( ( ( SV44
!= ( insert_b @ SV56 @ ( sK11_SY127 @ SV24 @ SV60 @ SV56 @ SV44 ) ) )
= $false )
| ( ( SV24 = SV56 )
= $true )
| ( ( SV44 = SV60 )
= $false )
| ( ( SV24 = SV56 )
= $false )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1237]) ).
thf(1242,plain,
! [SV44: set_b,SV60: set_b,SV24: b,SV56: b] :
( ( ( ~ ~ ( member_b @ SV56 @ ( sK11_SY127 @ SV24 @ SV60 @ SV56 @ SV44 ) ) )
= $false )
| ( ( SV24 = SV56 )
= $true )
| ( ( SV44 = SV60 )
= $false )
| ( ( SV24 = SV56 )
= $false )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1237]) ).
thf(1243,plain,
! [SV72: set_b,SV60: set_b,SV44: set_b,SV56: b,SV24: b] :
( ( ( ~ ( ( SV24 != SV56 )
| ( SV44 = SV60 ) ) )
= $false )
| ( ( SV44 = SV60 )
= $false )
| ( ( SV60
= ( insert_b @ SV24 @ SV72 ) )
= $false )
| ( ( SV44
= ( insert_b @ SV56 @ SV72 ) )
= $false )
| ( ( member_b @ SV56 @ SV72 )
= $true )
| ( ( member_b @ SV24 @ SV72 )
= $true )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1238]) ).
thf(1244,plain,
! [SV72: set_b,SV60: set_b,SV44: set_b,SV56: b,SV24: b] :
( ( ( ~ ( ~ ( ( SV24 != SV56 ) )
| ~ ! [SY127: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV44
!= ( insert_b @ SV56 @ SY127 ) )
| ~ ~ ( member_b @ SV56 @ SY127 ) )
| ( SV60
!= ( insert_b @ SV24 @ SY127 ) ) )
| ~ ~ ( member_b @ SV24 @ SY127 ) ) ) )
= $false )
| ( ( SV44 = SV60 )
= $false )
| ( ( SV60
= ( insert_b @ SV24 @ SV72 ) )
= $false )
| ( ( SV44
= ( insert_b @ SV56 @ SV72 ) )
= $false )
| ( ( member_b @ SV56 @ SV72 )
= $true )
| ( ( member_b @ SV24 @ SV72 )
= $true )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1238]) ).
thf(1245,plain,
! [SV60: set_b,SV24: b,SV56: b,SV44: set_b] :
( ( ( SV44
!= ( insert_b @ SV56 @ ( sK12_SY127 @ SV24 @ SV60 @ SV56 @ SV44 ) ) )
= $false )
| ( ( SV24 = SV56 )
= $true )
| ( ( SV24 = SV56 )
= $true )
| ( ( SV24 = SV56 )
= $false )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1239]) ).
thf(1246,plain,
! [SV44: set_b,SV60: set_b,SV24: b,SV56: b] :
( ( ( ~ ~ ( member_b @ SV56 @ ( sK12_SY127 @ SV24 @ SV60 @ SV56 @ SV44 ) ) )
= $false )
| ( ( SV24 = SV56 )
= $true )
| ( ( SV24 = SV56 )
= $true )
| ( ( SV24 = SV56 )
= $false )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1239]) ).
thf(1247,plain,
! [SV73: set_b,SV60: set_b,SV44: set_b,SV56: b,SV24: b] :
( ( ( ~ ( ( SV24 != SV56 )
| ( SV44 = SV60 ) ) )
= $false )
| ( ( SV24 = SV56 )
= $true )
| ( ( SV60
= ( insert_b @ SV24 @ SV73 ) )
= $false )
| ( ( SV44
= ( insert_b @ SV56 @ SV73 ) )
= $false )
| ( ( member_b @ SV56 @ SV73 )
= $true )
| ( ( member_b @ SV24 @ SV73 )
= $true )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1240]) ).
thf(1248,plain,
! [SV73: set_b,SV60: set_b,SV44: set_b,SV56: b,SV24: b] :
( ( ( ~ ( ~ ( ( SV24 != SV56 ) )
| ~ ! [SY127: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV44
!= ( insert_b @ SV56 @ SY127 ) )
| ~ ~ ( member_b @ SV56 @ SY127 ) )
| ( SV60
!= ( insert_b @ SV24 @ SY127 ) ) )
| ~ ~ ( member_b @ SV24 @ SY127 ) ) ) )
= $false )
| ( ( SV24 = SV56 )
= $true )
| ( ( SV60
= ( insert_b @ SV24 @ SV73 ) )
= $false )
| ( ( SV44
= ( insert_b @ SV56 @ SV73 ) )
= $false )
| ( ( member_b @ SV56 @ SV73 )
= $true )
| ( ( member_b @ SV24 @ SV73 )
= $true )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1240]) ).
thf(1249,plain,
! [SV60: set_b,SV24: b,SV56: b,SV44: set_b] :
( ( ( SV44
= ( insert_b @ SV56 @ ( sK11_SY127 @ SV24 @ SV60 @ SV56 @ SV44 ) ) )
= $true )
| ( ( SV24 = SV56 )
= $true )
| ( ( SV44 = SV60 )
= $false )
| ( ( SV24 = SV56 )
= $false )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1241]) ).
thf(1250,plain,
! [SV44: set_b,SV60: set_b,SV24: b,SV56: b] :
( ( ( ~ ( member_b @ SV56 @ ( sK11_SY127 @ SV24 @ SV60 @ SV56 @ SV44 ) ) )
= $true )
| ( ( SV24 = SV56 )
= $true )
| ( ( SV44 = SV60 )
= $false )
| ( ( SV24 = SV56 )
= $false )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1242]) ).
thf(1251,plain,
! [SV72: set_b,SV60: set_b,SV44: set_b,SV56: b,SV24: b] :
( ( ( ( SV24 != SV56 )
| ( SV44 = SV60 ) )
= $true )
| ( ( SV44 = SV60 )
= $false )
| ( ( SV60
= ( insert_b @ SV24 @ SV72 ) )
= $false )
| ( ( SV44
= ( insert_b @ SV56 @ SV72 ) )
= $false )
| ( ( member_b @ SV56 @ SV72 )
= $true )
| ( ( member_b @ SV24 @ SV72 )
= $true )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1243]) ).
thf(1252,plain,
! [SV72: set_b,SV60: set_b,SV44: set_b,SV56: b,SV24: b] :
( ( ( ~ ( ( SV24 != SV56 ) )
| ~ ! [SY127: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV44
!= ( insert_b @ SV56 @ SY127 ) )
| ~ ~ ( member_b @ SV56 @ SY127 ) )
| ( SV60
!= ( insert_b @ SV24 @ SY127 ) ) )
| ~ ~ ( member_b @ SV24 @ SY127 ) ) )
= $true )
| ( ( SV44 = SV60 )
= $false )
| ( ( SV60
= ( insert_b @ SV24 @ SV72 ) )
= $false )
| ( ( SV44
= ( insert_b @ SV56 @ SV72 ) )
= $false )
| ( ( member_b @ SV56 @ SV72 )
= $true )
| ( ( member_b @ SV24 @ SV72 )
= $true )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1244]) ).
thf(1253,plain,
! [SV60: set_b,SV24: b,SV56: b,SV44: set_b] :
( ( ( SV44
= ( insert_b @ SV56 @ ( sK12_SY127 @ SV24 @ SV60 @ SV56 @ SV44 ) ) )
= $true )
| ( ( SV24 = SV56 )
= $true )
| ( ( SV24 = SV56 )
= $true )
| ( ( SV24 = SV56 )
= $false )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1245]) ).
thf(1254,plain,
! [SV44: set_b,SV60: set_b,SV24: b,SV56: b] :
( ( ( ~ ( member_b @ SV56 @ ( sK12_SY127 @ SV24 @ SV60 @ SV56 @ SV44 ) ) )
= $true )
| ( ( SV24 = SV56 )
= $true )
| ( ( SV24 = SV56 )
= $true )
| ( ( SV24 = SV56 )
= $false )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1246]) ).
thf(1255,plain,
! [SV73: set_b,SV60: set_b,SV44: set_b,SV56: b,SV24: b] :
( ( ( ( SV24 != SV56 )
| ( SV44 = SV60 ) )
= $true )
| ( ( SV24 = SV56 )
= $true )
| ( ( SV60
= ( insert_b @ SV24 @ SV73 ) )
= $false )
| ( ( SV44
= ( insert_b @ SV56 @ SV73 ) )
= $false )
| ( ( member_b @ SV56 @ SV73 )
= $true )
| ( ( member_b @ SV24 @ SV73 )
= $true )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1247]) ).
thf(1256,plain,
! [SV73: set_b,SV60: set_b,SV44: set_b,SV56: b,SV24: b] :
( ( ( ~ ( ( SV24 != SV56 ) )
| ~ ! [SY127: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV44
!= ( insert_b @ SV56 @ SY127 ) )
| ~ ~ ( member_b @ SV56 @ SY127 ) )
| ( SV60
!= ( insert_b @ SV24 @ SY127 ) ) )
| ~ ~ ( member_b @ SV24 @ SY127 ) ) )
= $true )
| ( ( SV24 = SV56 )
= $true )
| ( ( SV60
= ( insert_b @ SV24 @ SV73 ) )
= $false )
| ( ( SV44
= ( insert_b @ SV56 @ SV73 ) )
= $false )
| ( ( member_b @ SV56 @ SV73 )
= $true )
| ( ( member_b @ SV24 @ SV73 )
= $true )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1248]) ).
thf(1257,plain,
! [SV44: set_b,SV60: set_b,SV24: b,SV56: b] :
( ( ( member_b @ SV56 @ ( sK11_SY127 @ SV24 @ SV60 @ SV56 @ SV44 ) )
= $false )
| ( ( SV24 = SV56 )
= $true )
| ( ( SV44 = SV60 )
= $false )
| ( ( SV24 = SV56 )
= $false )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1250]) ).
thf(1258,plain,
! [SV72: set_b,SV60: set_b,SV44: set_b,SV56: b,SV24: b] :
( ( ( SV24 != SV56 )
= $true )
| ( ( SV44 = SV60 )
= $true )
| ( ( SV44 = SV60 )
= $false )
| ( ( SV60
= ( insert_b @ SV24 @ SV72 ) )
= $false )
| ( ( SV44
= ( insert_b @ SV56 @ SV72 ) )
= $false )
| ( ( member_b @ SV56 @ SV72 )
= $true )
| ( ( member_b @ SV24 @ SV72 )
= $true )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1251]) ).
thf(1259,plain,
! [SV72: set_b,SV60: set_b,SV44: set_b,SV56: b,SV24: b] :
( ( ( ~ ( ( SV24 != SV56 ) ) )
= $true )
| ( ( ~ ! [SY127: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV44
!= ( insert_b @ SV56 @ SY127 ) )
| ~ ~ ( member_b @ SV56 @ SY127 ) )
| ( SV60
!= ( insert_b @ SV24 @ SY127 ) ) )
| ~ ~ ( member_b @ SV24 @ SY127 ) ) )
= $true )
| ( ( SV44 = SV60 )
= $false )
| ( ( SV60
= ( insert_b @ SV24 @ SV72 ) )
= $false )
| ( ( SV44
= ( insert_b @ SV56 @ SV72 ) )
= $false )
| ( ( member_b @ SV56 @ SV72 )
= $true )
| ( ( member_b @ SV24 @ SV72 )
= $true )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1252]) ).
thf(1260,plain,
! [SV44: set_b,SV60: set_b,SV24: b,SV56: b] :
( ( ( member_b @ SV56 @ ( sK12_SY127 @ SV24 @ SV60 @ SV56 @ SV44 ) )
= $false )
| ( ( SV24 = SV56 )
= $true )
| ( ( SV24 = SV56 )
= $true )
| ( ( SV24 = SV56 )
= $false )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1254]) ).
thf(1261,plain,
! [SV73: set_b,SV60: set_b,SV44: set_b,SV56: b,SV24: b] :
( ( ( SV24 != SV56 )
= $true )
| ( ( SV44 = SV60 )
= $true )
| ( ( SV24 = SV56 )
= $true )
| ( ( SV60
= ( insert_b @ SV24 @ SV73 ) )
= $false )
| ( ( SV44
= ( insert_b @ SV56 @ SV73 ) )
= $false )
| ( ( member_b @ SV56 @ SV73 )
= $true )
| ( ( member_b @ SV24 @ SV73 )
= $true )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1255]) ).
thf(1262,plain,
! [SV73: set_b,SV60: set_b,SV44: set_b,SV56: b,SV24: b] :
( ( ( ~ ( ( SV24 != SV56 ) ) )
= $true )
| ( ( ~ ! [SY127: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV44
!= ( insert_b @ SV56 @ SY127 ) )
| ~ ~ ( member_b @ SV56 @ SY127 ) )
| ( SV60
!= ( insert_b @ SV24 @ SY127 ) ) )
| ~ ~ ( member_b @ SV24 @ SY127 ) ) )
= $true )
| ( ( SV24 = SV56 )
= $true )
| ( ( SV60
= ( insert_b @ SV24 @ SV73 ) )
= $false )
| ( ( SV44
= ( insert_b @ SV56 @ SV73 ) )
= $false )
| ( ( member_b @ SV56 @ SV73 )
= $true )
| ( ( member_b @ SV24 @ SV73 )
= $true )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1256]) ).
thf(1263,plain,
! [SV72: set_b,SV60: set_b,SV44: set_b,SV56: b,SV24: b] :
( ( ( SV24 = SV56 )
= $false )
| ( ( SV44 = SV60 )
= $true )
| ( ( SV44 = SV60 )
= $false )
| ( ( SV60
= ( insert_b @ SV24 @ SV72 ) )
= $false )
| ( ( SV44
= ( insert_b @ SV56 @ SV72 ) )
= $false )
| ( ( member_b @ SV56 @ SV72 )
= $true )
| ( ( member_b @ SV24 @ SV72 )
= $true )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1258]) ).
thf(1264,plain,
! [SV72: set_b,SV60: set_b,SV44: set_b,SV56: b,SV24: b] :
( ( ( SV24 != SV56 )
= $false )
| ( ( ~ ! [SY127: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV44
!= ( insert_b @ SV56 @ SY127 ) )
| ~ ~ ( member_b @ SV56 @ SY127 ) )
| ( SV60
!= ( insert_b @ SV24 @ SY127 ) ) )
| ~ ~ ( member_b @ SV24 @ SY127 ) ) )
= $true )
| ( ( SV44 = SV60 )
= $false )
| ( ( SV60
= ( insert_b @ SV24 @ SV72 ) )
= $false )
| ( ( SV44
= ( insert_b @ SV56 @ SV72 ) )
= $false )
| ( ( member_b @ SV56 @ SV72 )
= $true )
| ( ( member_b @ SV24 @ SV72 )
= $true )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1259]) ).
thf(1265,plain,
! [SV73: set_b,SV60: set_b,SV44: set_b,SV56: b,SV24: b] :
( ( ( SV24 = SV56 )
= $false )
| ( ( SV44 = SV60 )
= $true )
| ( ( SV24 = SV56 )
= $true )
| ( ( SV60
= ( insert_b @ SV24 @ SV73 ) )
= $false )
| ( ( SV44
= ( insert_b @ SV56 @ SV73 ) )
= $false )
| ( ( member_b @ SV56 @ SV73 )
= $true )
| ( ( member_b @ SV24 @ SV73 )
= $true )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1261]) ).
thf(1266,plain,
! [SV73: set_b,SV60: set_b,SV44: set_b,SV56: b,SV24: b] :
( ( ( SV24 != SV56 )
= $false )
| ( ( ~ ! [SY127: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV44
!= ( insert_b @ SV56 @ SY127 ) )
| ~ ~ ( member_b @ SV56 @ SY127 ) )
| ( SV60
!= ( insert_b @ SV24 @ SY127 ) ) )
| ~ ~ ( member_b @ SV24 @ SY127 ) ) )
= $true )
| ( ( SV24 = SV56 )
= $true )
| ( ( SV60
= ( insert_b @ SV24 @ SV73 ) )
= $false )
| ( ( SV44
= ( insert_b @ SV56 @ SV73 ) )
= $false )
| ( ( member_b @ SV56 @ SV73 )
= $true )
| ( ( member_b @ SV24 @ SV73 )
= $true )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1262]) ).
thf(1267,plain,
! [SV72: set_b,SV60: set_b,SV44: set_b,SV56: b,SV24: b] :
( ( ( SV24 = SV56 )
= $true )
| ( ( ~ ! [SY127: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV44
!= ( insert_b @ SV56 @ SY127 ) )
| ~ ~ ( member_b @ SV56 @ SY127 ) )
| ( SV60
!= ( insert_b @ SV24 @ SY127 ) ) )
| ~ ~ ( member_b @ SV24 @ SY127 ) ) )
= $true )
| ( ( SV44 = SV60 )
= $false )
| ( ( SV60
= ( insert_b @ SV24 @ SV72 ) )
= $false )
| ( ( SV44
= ( insert_b @ SV56 @ SV72 ) )
= $false )
| ( ( member_b @ SV56 @ SV72 )
= $true )
| ( ( member_b @ SV24 @ SV72 )
= $true )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1264]) ).
thf(1268,plain,
! [SV73: set_b,SV60: set_b,SV44: set_b,SV56: b,SV24: b] :
( ( ( SV24 = SV56 )
= $true )
| ( ( ~ ! [SY127: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV44
!= ( insert_b @ SV56 @ SY127 ) )
| ~ ~ ( member_b @ SV56 @ SY127 ) )
| ( SV60
!= ( insert_b @ SV24 @ SY127 ) ) )
| ~ ~ ( member_b @ SV24 @ SY127 ) ) )
= $true )
| ( ( SV24 = SV56 )
= $true )
| ( ( SV60
= ( insert_b @ SV24 @ SV73 ) )
= $false )
| ( ( SV44
= ( insert_b @ SV56 @ SV73 ) )
= $false )
| ( ( member_b @ SV56 @ SV73 )
= $true )
| ( ( member_b @ SV24 @ SV73 )
= $true )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1266]) ).
thf(1269,plain,
! [SV72: set_b,SV24: b,SV60: set_b,SV56: b,SV44: set_b] :
( ( ( ! [SY127: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV44
!= ( insert_b @ SV56 @ SY127 ) )
| ~ ~ ( member_b @ SV56 @ SY127 ) )
| ( SV60
!= ( insert_b @ SV24 @ SY127 ) ) )
| ~ ~ ( member_b @ SV24 @ SY127 ) ) )
= $false )
| ( ( SV24 = SV56 )
= $true )
| ( ( SV44 = SV60 )
= $false )
| ( ( SV60
= ( insert_b @ SV24 @ SV72 ) )
= $false )
| ( ( SV44
= ( insert_b @ SV56 @ SV72 ) )
= $false )
| ( ( member_b @ SV56 @ SV72 )
= $true )
| ( ( member_b @ SV24 @ SV72 )
= $true )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1267]) ).
thf(1270,plain,
! [SV73: set_b,SV24: b,SV60: set_b,SV56: b,SV44: set_b] :
( ( ( ! [SY127: set_b] :
~ ~ ( ~ ~ ( ~ ~ ( ( SV44
!= ( insert_b @ SV56 @ SY127 ) )
| ~ ~ ( member_b @ SV56 @ SY127 ) )
| ( SV60
!= ( insert_b @ SV24 @ SY127 ) ) )
| ~ ~ ( member_b @ SV24 @ SY127 ) ) )
= $false )
| ( ( SV24 = SV56 )
= $true )
| ( ( SV24 = SV56 )
= $true )
| ( ( SV60
= ( insert_b @ SV24 @ SV73 ) )
= $false )
| ( ( SV44
= ( insert_b @ SV56 @ SV73 ) )
= $false )
| ( ( member_b @ SV56 @ SV73 )
= $true )
| ( ( member_b @ SV24 @ SV73 )
= $true )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1268]) ).
thf(1271,plain,
! [SV60: set_b,SV24: b,SV72: set_b,SV56: b,SV44: set_b] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV44
!= ( insert_b @ SV56 @ ( sK13_SY127 @ SV72 @ SV24 @ SV60 @ SV56 @ SV44 ) ) )
| ~ ~ ( member_b @ SV56 @ ( sK13_SY127 @ SV72 @ SV24 @ SV60 @ SV56 @ SV44 ) ) )
| ( SV60
!= ( insert_b @ SV24 @ ( sK13_SY127 @ SV72 @ SV24 @ SV60 @ SV56 @ SV44 ) ) ) )
| ~ ~ ( member_b @ SV24 @ ( sK13_SY127 @ SV72 @ SV24 @ SV60 @ SV56 @ SV44 ) ) ) )
= $false )
| ( ( SV24 = SV56 )
= $true )
| ( ( SV44 = SV60 )
= $false )
| ( ( SV60
= ( insert_b @ SV24 @ SV72 ) )
= $false )
| ( ( SV44
= ( insert_b @ SV56 @ SV72 ) )
= $false )
| ( ( member_b @ SV56 @ SV72 )
= $true )
| ( ( member_b @ SV24 @ SV72 )
= $true )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1269]) ).
thf(1272,plain,
! [SV60: set_b,SV24: b,SV73: set_b,SV56: b,SV44: set_b] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ( SV44
!= ( insert_b @ SV56 @ ( sK14_SY127 @ SV73 @ SV24 @ SV60 @ SV56 @ SV44 ) ) )
| ~ ~ ( member_b @ SV56 @ ( sK14_SY127 @ SV73 @ SV24 @ SV60 @ SV56 @ SV44 ) ) )
| ( SV60
!= ( insert_b @ SV24 @ ( sK14_SY127 @ SV73 @ SV24 @ SV60 @ SV56 @ SV44 ) ) ) )
| ~ ~ ( member_b @ SV24 @ ( sK14_SY127 @ SV73 @ SV24 @ SV60 @ SV56 @ SV44 ) ) ) )
= $false )
| ( ( SV24 = SV56 )
= $true )
| ( ( SV24 = SV56 )
= $true )
| ( ( SV60
= ( insert_b @ SV24 @ SV73 ) )
= $false )
| ( ( SV44
= ( insert_b @ SV56 @ SV73 ) )
= $false )
| ( ( member_b @ SV56 @ SV73 )
= $true )
| ( ( member_b @ SV24 @ SV73 )
= $true )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1270]) ).
thf(1273,plain,
! [SV60: set_b,SV24: b,SV72: set_b,SV56: b,SV44: set_b] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ( SV44
!= ( insert_b @ SV56 @ ( sK13_SY127 @ SV72 @ SV24 @ SV60 @ SV56 @ SV44 ) ) )
| ~ ~ ( member_b @ SV56 @ ( sK13_SY127 @ SV72 @ SV24 @ SV60 @ SV56 @ SV44 ) ) )
| ( SV60
!= ( insert_b @ SV24 @ ( sK13_SY127 @ SV72 @ SV24 @ SV60 @ SV56 @ SV44 ) ) ) )
| ~ ~ ( member_b @ SV24 @ ( sK13_SY127 @ SV72 @ SV24 @ SV60 @ SV56 @ SV44 ) ) ) )
= $true )
| ( ( SV24 = SV56 )
= $true )
| ( ( SV44 = SV60 )
= $false )
| ( ( SV60
= ( insert_b @ SV24 @ SV72 ) )
= $false )
| ( ( SV44
= ( insert_b @ SV56 @ SV72 ) )
= $false )
| ( ( member_b @ SV56 @ SV72 )
= $true )
| ( ( member_b @ SV24 @ SV72 )
= $true )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1271]) ).
thf(1274,plain,
! [SV60: set_b,SV24: b,SV73: set_b,SV56: b,SV44: set_b] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ( SV44
!= ( insert_b @ SV56 @ ( sK14_SY127 @ SV73 @ SV24 @ SV60 @ SV56 @ SV44 ) ) )
| ~ ~ ( member_b @ SV56 @ ( sK14_SY127 @ SV73 @ SV24 @ SV60 @ SV56 @ SV44 ) ) )
| ( SV60
!= ( insert_b @ SV24 @ ( sK14_SY127 @ SV73 @ SV24 @ SV60 @ SV56 @ SV44 ) ) ) )
| ~ ~ ( member_b @ SV24 @ ( sK14_SY127 @ SV73 @ SV24 @ SV60 @ SV56 @ SV44 ) ) ) )
= $true )
| ( ( SV24 = SV56 )
= $true )
| ( ( SV24 = SV56 )
= $true )
| ( ( SV60
= ( insert_b @ SV24 @ SV73 ) )
= $false )
| ( ( SV44
= ( insert_b @ SV56 @ SV73 ) )
= $false )
| ( ( member_b @ SV56 @ SV73 )
= $true )
| ( ( member_b @ SV24 @ SV73 )
= $true )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1272]) ).
thf(1275,plain,
! [SV60: set_b,SV24: b,SV72: set_b,SV56: b,SV44: set_b] :
( ( ( ~ ~ ( ~ ~ ( ( SV44
!= ( insert_b @ SV56 @ ( sK13_SY127 @ SV72 @ SV24 @ SV60 @ SV56 @ SV44 ) ) )
| ~ ~ ( member_b @ SV56 @ ( sK13_SY127 @ SV72 @ SV24 @ SV60 @ SV56 @ SV44 ) ) )
| ( SV60
!= ( insert_b @ SV24 @ ( sK13_SY127 @ SV72 @ SV24 @ SV60 @ SV56 @ SV44 ) ) ) )
| ~ ~ ( member_b @ SV24 @ ( sK13_SY127 @ SV72 @ SV24 @ SV60 @ SV56 @ SV44 ) ) )
= $false )
| ( ( SV24 = SV56 )
= $true )
| ( ( SV44 = SV60 )
= $false )
| ( ( SV60
= ( insert_b @ SV24 @ SV72 ) )
= $false )
| ( ( SV44
= ( insert_b @ SV56 @ SV72 ) )
= $false )
| ( ( member_b @ SV56 @ SV72 )
= $true )
| ( ( member_b @ SV24 @ SV72 )
= $true )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1273]) ).
thf(1276,plain,
! [SV60: set_b,SV24: b,SV73: set_b,SV56: b,SV44: set_b] :
( ( ( ~ ~ ( ~ ~ ( ( SV44
!= ( insert_b @ SV56 @ ( sK14_SY127 @ SV73 @ SV24 @ SV60 @ SV56 @ SV44 ) ) )
| ~ ~ ( member_b @ SV56 @ ( sK14_SY127 @ SV73 @ SV24 @ SV60 @ SV56 @ SV44 ) ) )
| ( SV60
!= ( insert_b @ SV24 @ ( sK14_SY127 @ SV73 @ SV24 @ SV60 @ SV56 @ SV44 ) ) ) )
| ~ ~ ( member_b @ SV24 @ ( sK14_SY127 @ SV73 @ SV24 @ SV60 @ SV56 @ SV44 ) ) )
= $false )
| ( ( SV24 = SV56 )
= $true )
| ( ( SV24 = SV56 )
= $true )
| ( ( SV60
= ( insert_b @ SV24 @ SV73 ) )
= $false )
| ( ( SV44
= ( insert_b @ SV56 @ SV73 ) )
= $false )
| ( ( member_b @ SV56 @ SV73 )
= $true )
| ( ( member_b @ SV24 @ SV73 )
= $true )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1274]) ).
thf(1277,plain,
! [SV60: set_b,SV24: b,SV72: set_b,SV56: b,SV44: set_b] :
( ( ( ~ ~ ( ~ ~ ( ( SV44
!= ( insert_b @ SV56 @ ( sK13_SY127 @ SV72 @ SV24 @ SV60 @ SV56 @ SV44 ) ) )
| ~ ~ ( member_b @ SV56 @ ( sK13_SY127 @ SV72 @ SV24 @ SV60 @ SV56 @ SV44 ) ) )
| ( SV60
!= ( insert_b @ SV24 @ ( sK13_SY127 @ SV72 @ SV24 @ SV60 @ SV56 @ SV44 ) ) ) ) )
= $false )
| ( ( SV24 = SV56 )
= $true )
| ( ( SV44 = SV60 )
= $false )
| ( ( SV60
= ( insert_b @ SV24 @ SV72 ) )
= $false )
| ( ( SV44
= ( insert_b @ SV56 @ SV72 ) )
= $false )
| ( ( member_b @ SV56 @ SV72 )
= $true )
| ( ( member_b @ SV24 @ SV72 )
= $true )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1275]) ).
thf(1278,plain,
! [SV44: set_b,SV56: b,SV60: set_b,SV72: set_b,SV24: b] :
( ( ( ~ ~ ( member_b @ SV24 @ ( sK13_SY127 @ SV72 @ SV24 @ SV60 @ SV56 @ SV44 ) ) )
= $false )
| ( ( SV24 = SV56 )
= $true )
| ( ( SV44 = SV60 )
= $false )
| ( ( SV60
= ( insert_b @ SV24 @ SV72 ) )
= $false )
| ( ( SV44
= ( insert_b @ SV56 @ SV72 ) )
= $false )
| ( ( member_b @ SV56 @ SV72 )
= $true )
| ( ( member_b @ SV24 @ SV72 )
= $true )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1275]) ).
thf(1279,plain,
! [SV60: set_b,SV24: b,SV73: set_b,SV56: b,SV44: set_b] :
( ( ( ~ ~ ( ~ ~ ( ( SV44
!= ( insert_b @ SV56 @ ( sK14_SY127 @ SV73 @ SV24 @ SV60 @ SV56 @ SV44 ) ) )
| ~ ~ ( member_b @ SV56 @ ( sK14_SY127 @ SV73 @ SV24 @ SV60 @ SV56 @ SV44 ) ) )
| ( SV60
!= ( insert_b @ SV24 @ ( sK14_SY127 @ SV73 @ SV24 @ SV60 @ SV56 @ SV44 ) ) ) ) )
= $false )
| ( ( SV24 = SV56 )
= $true )
| ( ( SV24 = SV56 )
= $true )
| ( ( SV60
= ( insert_b @ SV24 @ SV73 ) )
= $false )
| ( ( SV44
= ( insert_b @ SV56 @ SV73 ) )
= $false )
| ( ( member_b @ SV56 @ SV73 )
= $true )
| ( ( member_b @ SV24 @ SV73 )
= $true )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1276]) ).
thf(1280,plain,
! [SV44: set_b,SV56: b,SV60: set_b,SV73: set_b,SV24: b] :
( ( ( ~ ~ ( member_b @ SV24 @ ( sK14_SY127 @ SV73 @ SV24 @ SV60 @ SV56 @ SV44 ) ) )
= $false )
| ( ( SV24 = SV56 )
= $true )
| ( ( SV24 = SV56 )
= $true )
| ( ( SV60
= ( insert_b @ SV24 @ SV73 ) )
= $false )
| ( ( SV44
= ( insert_b @ SV56 @ SV73 ) )
= $false )
| ( ( member_b @ SV56 @ SV73 )
= $true )
| ( ( member_b @ SV24 @ SV73 )
= $true )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1276]) ).
thf(1281,plain,
! [SV60: set_b,SV24: b,SV72: set_b,SV56: b,SV44: set_b] :
( ( ( ~ ( ~ ~ ( ( SV44
!= ( insert_b @ SV56 @ ( sK13_SY127 @ SV72 @ SV24 @ SV60 @ SV56 @ SV44 ) ) )
| ~ ~ ( member_b @ SV56 @ ( sK13_SY127 @ SV72 @ SV24 @ SV60 @ SV56 @ SV44 ) ) )
| ( SV60
!= ( insert_b @ SV24 @ ( sK13_SY127 @ SV72 @ SV24 @ SV60 @ SV56 @ SV44 ) ) ) ) )
= $true )
| ( ( SV24 = SV56 )
= $true )
| ( ( SV44 = SV60 )
= $false )
| ( ( SV60
= ( insert_b @ SV24 @ SV72 ) )
= $false )
| ( ( SV44
= ( insert_b @ SV56 @ SV72 ) )
= $false )
| ( ( member_b @ SV56 @ SV72 )
= $true )
| ( ( member_b @ SV24 @ SV72 )
= $true )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1277]) ).
thf(1282,plain,
! [SV44: set_b,SV56: b,SV60: set_b,SV72: set_b,SV24: b] :
( ( ( ~ ( member_b @ SV24 @ ( sK13_SY127 @ SV72 @ SV24 @ SV60 @ SV56 @ SV44 ) ) )
= $true )
| ( ( SV24 = SV56 )
= $true )
| ( ( SV44 = SV60 )
= $false )
| ( ( SV60
= ( insert_b @ SV24 @ SV72 ) )
= $false )
| ( ( SV44
= ( insert_b @ SV56 @ SV72 ) )
= $false )
| ( ( member_b @ SV56 @ SV72 )
= $true )
| ( ( member_b @ SV24 @ SV72 )
= $true )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1278]) ).
thf(1283,plain,
! [SV60: set_b,SV24: b,SV73: set_b,SV56: b,SV44: set_b] :
( ( ( ~ ( ~ ~ ( ( SV44
!= ( insert_b @ SV56 @ ( sK14_SY127 @ SV73 @ SV24 @ SV60 @ SV56 @ SV44 ) ) )
| ~ ~ ( member_b @ SV56 @ ( sK14_SY127 @ SV73 @ SV24 @ SV60 @ SV56 @ SV44 ) ) )
| ( SV60
!= ( insert_b @ SV24 @ ( sK14_SY127 @ SV73 @ SV24 @ SV60 @ SV56 @ SV44 ) ) ) ) )
= $true )
| ( ( SV24 = SV56 )
= $true )
| ( ( SV24 = SV56 )
= $true )
| ( ( SV60
= ( insert_b @ SV24 @ SV73 ) )
= $false )
| ( ( SV44
= ( insert_b @ SV56 @ SV73 ) )
= $false )
| ( ( member_b @ SV56 @ SV73 )
= $true )
| ( ( member_b @ SV24 @ SV73 )
= $true )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1279]) ).
thf(1284,plain,
! [SV44: set_b,SV56: b,SV60: set_b,SV73: set_b,SV24: b] :
( ( ( ~ ( member_b @ SV24 @ ( sK14_SY127 @ SV73 @ SV24 @ SV60 @ SV56 @ SV44 ) ) )
= $true )
| ( ( SV24 = SV56 )
= $true )
| ( ( SV24 = SV56 )
= $true )
| ( ( SV60
= ( insert_b @ SV24 @ SV73 ) )
= $false )
| ( ( SV44
= ( insert_b @ SV56 @ SV73 ) )
= $false )
| ( ( member_b @ SV56 @ SV73 )
= $true )
| ( ( member_b @ SV24 @ SV73 )
= $true )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1280]) ).
thf(1285,plain,
! [SV60: set_b,SV24: b,SV72: set_b,SV56: b,SV44: set_b] :
( ( ( ~ ~ ( ( SV44
!= ( insert_b @ SV56 @ ( sK13_SY127 @ SV72 @ SV24 @ SV60 @ SV56 @ SV44 ) ) )
| ~ ~ ( member_b @ SV56 @ ( sK13_SY127 @ SV72 @ SV24 @ SV60 @ SV56 @ SV44 ) ) )
| ( SV60
!= ( insert_b @ SV24 @ ( sK13_SY127 @ SV72 @ SV24 @ SV60 @ SV56 @ SV44 ) ) ) )
= $false )
| ( ( SV24 = SV56 )
= $true )
| ( ( SV44 = SV60 )
= $false )
| ( ( SV60
= ( insert_b @ SV24 @ SV72 ) )
= $false )
| ( ( SV44
= ( insert_b @ SV56 @ SV72 ) )
= $false )
| ( ( member_b @ SV56 @ SV72 )
= $true )
| ( ( member_b @ SV24 @ SV72 )
= $true )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1281]) ).
thf(1286,plain,
! [SV44: set_b,SV56: b,SV60: set_b,SV72: set_b,SV24: b] :
( ( ( member_b @ SV24 @ ( sK13_SY127 @ SV72 @ SV24 @ SV60 @ SV56 @ SV44 ) )
= $false )
| ( ( SV24 = SV56 )
= $true )
| ( ( SV44 = SV60 )
= $false )
| ( ( SV60
= ( insert_b @ SV24 @ SV72 ) )
= $false )
| ( ( SV44
= ( insert_b @ SV56 @ SV72 ) )
= $false )
| ( ( member_b @ SV56 @ SV72 )
= $true )
| ( ( member_b @ SV24 @ SV72 )
= $true )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1282]) ).
thf(1287,plain,
! [SV60: set_b,SV24: b,SV73: set_b,SV56: b,SV44: set_b] :
( ( ( ~ ~ ( ( SV44
!= ( insert_b @ SV56 @ ( sK14_SY127 @ SV73 @ SV24 @ SV60 @ SV56 @ SV44 ) ) )
| ~ ~ ( member_b @ SV56 @ ( sK14_SY127 @ SV73 @ SV24 @ SV60 @ SV56 @ SV44 ) ) )
| ( SV60
!= ( insert_b @ SV24 @ ( sK14_SY127 @ SV73 @ SV24 @ SV60 @ SV56 @ SV44 ) ) ) )
= $false )
| ( ( SV24 = SV56 )
= $true )
| ( ( SV24 = SV56 )
= $true )
| ( ( SV60
= ( insert_b @ SV24 @ SV73 ) )
= $false )
| ( ( SV44
= ( insert_b @ SV56 @ SV73 ) )
= $false )
| ( ( member_b @ SV56 @ SV73 )
= $true )
| ( ( member_b @ SV24 @ SV73 )
= $true )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1283]) ).
thf(1288,plain,
! [SV44: set_b,SV56: b,SV60: set_b,SV73: set_b,SV24: b] :
( ( ( member_b @ SV24 @ ( sK14_SY127 @ SV73 @ SV24 @ SV60 @ SV56 @ SV44 ) )
= $false )
| ( ( SV24 = SV56 )
= $true )
| ( ( SV24 = SV56 )
= $true )
| ( ( SV60
= ( insert_b @ SV24 @ SV73 ) )
= $false )
| ( ( SV44
= ( insert_b @ SV56 @ SV73 ) )
= $false )
| ( ( member_b @ SV56 @ SV73 )
= $true )
| ( ( member_b @ SV24 @ SV73 )
= $true )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1284]) ).
thf(1289,plain,
! [SV60: set_b,SV24: b,SV72: set_b,SV56: b,SV44: set_b] :
( ( ( ~ ~ ( ( SV44
!= ( insert_b @ SV56 @ ( sK13_SY127 @ SV72 @ SV24 @ SV60 @ SV56 @ SV44 ) ) )
| ~ ~ ( member_b @ SV56 @ ( sK13_SY127 @ SV72 @ SV24 @ SV60 @ SV56 @ SV44 ) ) ) )
= $false )
| ( ( SV24 = SV56 )
= $true )
| ( ( SV44 = SV60 )
= $false )
| ( ( SV60
= ( insert_b @ SV24 @ SV72 ) )
= $false )
| ( ( SV44
= ( insert_b @ SV56 @ SV72 ) )
= $false )
| ( ( member_b @ SV56 @ SV72 )
= $true )
| ( ( member_b @ SV24 @ SV72 )
= $true )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1285]) ).
thf(1290,plain,
! [SV44: set_b,SV56: b,SV72: set_b,SV24: b,SV60: set_b] :
( ( ( SV60
!= ( insert_b @ SV24 @ ( sK13_SY127 @ SV72 @ SV24 @ SV60 @ SV56 @ SV44 ) ) )
= $false )
| ( ( SV24 = SV56 )
= $true )
| ( ( SV44 = SV60 )
= $false )
| ( ( SV60
= ( insert_b @ SV24 @ SV72 ) )
= $false )
| ( ( SV44
= ( insert_b @ SV56 @ SV72 ) )
= $false )
| ( ( member_b @ SV56 @ SV72 )
= $true )
| ( ( member_b @ SV24 @ SV72 )
= $true )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1285]) ).
thf(1291,plain,
! [SV60: set_b,SV24: b,SV73: set_b,SV56: b,SV44: set_b] :
( ( ( ~ ~ ( ( SV44
!= ( insert_b @ SV56 @ ( sK14_SY127 @ SV73 @ SV24 @ SV60 @ SV56 @ SV44 ) ) )
| ~ ~ ( member_b @ SV56 @ ( sK14_SY127 @ SV73 @ SV24 @ SV60 @ SV56 @ SV44 ) ) ) )
= $false )
| ( ( SV24 = SV56 )
= $true )
| ( ( SV24 = SV56 )
= $true )
| ( ( SV60
= ( insert_b @ SV24 @ SV73 ) )
= $false )
| ( ( SV44
= ( insert_b @ SV56 @ SV73 ) )
= $false )
| ( ( member_b @ SV56 @ SV73 )
= $true )
| ( ( member_b @ SV24 @ SV73 )
= $true )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1287]) ).
thf(1292,plain,
! [SV44: set_b,SV56: b,SV73: set_b,SV24: b,SV60: set_b] :
( ( ( SV60
!= ( insert_b @ SV24 @ ( sK14_SY127 @ SV73 @ SV24 @ SV60 @ SV56 @ SV44 ) ) )
= $false )
| ( ( SV24 = SV56 )
= $true )
| ( ( SV24 = SV56 )
= $true )
| ( ( SV60
= ( insert_b @ SV24 @ SV73 ) )
= $false )
| ( ( SV44
= ( insert_b @ SV56 @ SV73 ) )
= $false )
| ( ( member_b @ SV56 @ SV73 )
= $true )
| ( ( member_b @ SV24 @ SV73 )
= $true )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1287]) ).
thf(1293,plain,
! [SV60: set_b,SV24: b,SV72: set_b,SV56: b,SV44: set_b] :
( ( ( ~ ( ( SV44
!= ( insert_b @ SV56 @ ( sK13_SY127 @ SV72 @ SV24 @ SV60 @ SV56 @ SV44 ) ) )
| ~ ~ ( member_b @ SV56 @ ( sK13_SY127 @ SV72 @ SV24 @ SV60 @ SV56 @ SV44 ) ) ) )
= $true )
| ( ( SV24 = SV56 )
= $true )
| ( ( SV44 = SV60 )
= $false )
| ( ( SV60
= ( insert_b @ SV24 @ SV72 ) )
= $false )
| ( ( SV44
= ( insert_b @ SV56 @ SV72 ) )
= $false )
| ( ( member_b @ SV56 @ SV72 )
= $true )
| ( ( member_b @ SV24 @ SV72 )
= $true )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1289]) ).
thf(1294,plain,
! [SV44: set_b,SV56: b,SV72: set_b,SV24: b,SV60: set_b] :
( ( ( SV60
= ( insert_b @ SV24 @ ( sK13_SY127 @ SV72 @ SV24 @ SV60 @ SV56 @ SV44 ) ) )
= $true )
| ( ( SV24 = SV56 )
= $true )
| ( ( SV44 = SV60 )
= $false )
| ( ( SV60
= ( insert_b @ SV24 @ SV72 ) )
= $false )
| ( ( SV44
= ( insert_b @ SV56 @ SV72 ) )
= $false )
| ( ( member_b @ SV56 @ SV72 )
= $true )
| ( ( member_b @ SV24 @ SV72 )
= $true )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1290]) ).
thf(1295,plain,
! [SV60: set_b,SV24: b,SV73: set_b,SV56: b,SV44: set_b] :
( ( ( ~ ( ( SV44
!= ( insert_b @ SV56 @ ( sK14_SY127 @ SV73 @ SV24 @ SV60 @ SV56 @ SV44 ) ) )
| ~ ~ ( member_b @ SV56 @ ( sK14_SY127 @ SV73 @ SV24 @ SV60 @ SV56 @ SV44 ) ) ) )
= $true )
| ( ( SV24 = SV56 )
= $true )
| ( ( SV24 = SV56 )
= $true )
| ( ( SV60
= ( insert_b @ SV24 @ SV73 ) )
= $false )
| ( ( SV44
= ( insert_b @ SV56 @ SV73 ) )
= $false )
| ( ( member_b @ SV56 @ SV73 )
= $true )
| ( ( member_b @ SV24 @ SV73 )
= $true )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1291]) ).
thf(1296,plain,
! [SV44: set_b,SV56: b,SV73: set_b,SV24: b,SV60: set_b] :
( ( ( SV60
= ( insert_b @ SV24 @ ( sK14_SY127 @ SV73 @ SV24 @ SV60 @ SV56 @ SV44 ) ) )
= $true )
| ( ( SV24 = SV56 )
= $true )
| ( ( SV24 = SV56 )
= $true )
| ( ( SV60
= ( insert_b @ SV24 @ SV73 ) )
= $false )
| ( ( SV44
= ( insert_b @ SV56 @ SV73 ) )
= $false )
| ( ( member_b @ SV56 @ SV73 )
= $true )
| ( ( member_b @ SV24 @ SV73 )
= $true )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1292]) ).
thf(1297,plain,
! [SV60: set_b,SV24: b,SV72: set_b,SV56: b,SV44: set_b] :
( ( ( ( SV44
!= ( insert_b @ SV56 @ ( sK13_SY127 @ SV72 @ SV24 @ SV60 @ SV56 @ SV44 ) ) )
| ~ ~ ( member_b @ SV56 @ ( sK13_SY127 @ SV72 @ SV24 @ SV60 @ SV56 @ SV44 ) ) )
= $false )
| ( ( SV24 = SV56 )
= $true )
| ( ( SV44 = SV60 )
= $false )
| ( ( SV60
= ( insert_b @ SV24 @ SV72 ) )
= $false )
| ( ( SV44
= ( insert_b @ SV56 @ SV72 ) )
= $false )
| ( ( member_b @ SV56 @ SV72 )
= $true )
| ( ( member_b @ SV24 @ SV72 )
= $true )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1293]) ).
thf(1298,plain,
! [SV60: set_b,SV24: b,SV73: set_b,SV56: b,SV44: set_b] :
( ( ( ( SV44
!= ( insert_b @ SV56 @ ( sK14_SY127 @ SV73 @ SV24 @ SV60 @ SV56 @ SV44 ) ) )
| ~ ~ ( member_b @ SV56 @ ( sK14_SY127 @ SV73 @ SV24 @ SV60 @ SV56 @ SV44 ) ) )
= $false )
| ( ( SV24 = SV56 )
= $true )
| ( ( SV24 = SV56 )
= $true )
| ( ( SV60
= ( insert_b @ SV24 @ SV73 ) )
= $false )
| ( ( SV44
= ( insert_b @ SV56 @ SV73 ) )
= $false )
| ( ( member_b @ SV56 @ SV73 )
= $true )
| ( ( member_b @ SV24 @ SV73 )
= $true )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1295]) ).
thf(1299,plain,
! [SV60: set_b,SV24: b,SV72: set_b,SV56: b,SV44: set_b] :
( ( ( SV44
!= ( insert_b @ SV56 @ ( sK13_SY127 @ SV72 @ SV24 @ SV60 @ SV56 @ SV44 ) ) )
= $false )
| ( ( SV24 = SV56 )
= $true )
| ( ( SV44 = SV60 )
= $false )
| ( ( SV60
= ( insert_b @ SV24 @ SV72 ) )
= $false )
| ( ( SV44
= ( insert_b @ SV56 @ SV72 ) )
= $false )
| ( ( member_b @ SV56 @ SV72 )
= $true )
| ( ( member_b @ SV24 @ SV72 )
= $true )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1297]) ).
thf(1300,plain,
! [SV44: set_b,SV60: set_b,SV24: b,SV72: set_b,SV56: b] :
( ( ( ~ ~ ( member_b @ SV56 @ ( sK13_SY127 @ SV72 @ SV24 @ SV60 @ SV56 @ SV44 ) ) )
= $false )
| ( ( SV24 = SV56 )
= $true )
| ( ( SV44 = SV60 )
= $false )
| ( ( SV60
= ( insert_b @ SV24 @ SV72 ) )
= $false )
| ( ( SV44
= ( insert_b @ SV56 @ SV72 ) )
= $false )
| ( ( member_b @ SV56 @ SV72 )
= $true )
| ( ( member_b @ SV24 @ SV72 )
= $true )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1297]) ).
thf(1301,plain,
! [SV60: set_b,SV24: b,SV73: set_b,SV56: b,SV44: set_b] :
( ( ( SV44
!= ( insert_b @ SV56 @ ( sK14_SY127 @ SV73 @ SV24 @ SV60 @ SV56 @ SV44 ) ) )
= $false )
| ( ( SV24 = SV56 )
= $true )
| ( ( SV24 = SV56 )
= $true )
| ( ( SV60
= ( insert_b @ SV24 @ SV73 ) )
= $false )
| ( ( SV44
= ( insert_b @ SV56 @ SV73 ) )
= $false )
| ( ( member_b @ SV56 @ SV73 )
= $true )
| ( ( member_b @ SV24 @ SV73 )
= $true )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1298]) ).
thf(1302,plain,
! [SV44: set_b,SV60: set_b,SV24: b,SV73: set_b,SV56: b] :
( ( ( ~ ~ ( member_b @ SV56 @ ( sK14_SY127 @ SV73 @ SV24 @ SV60 @ SV56 @ SV44 ) ) )
= $false )
| ( ( SV24 = SV56 )
= $true )
| ( ( SV24 = SV56 )
= $true )
| ( ( SV60
= ( insert_b @ SV24 @ SV73 ) )
= $false )
| ( ( SV44
= ( insert_b @ SV56 @ SV73 ) )
= $false )
| ( ( member_b @ SV56 @ SV73 )
= $true )
| ( ( member_b @ SV24 @ SV73 )
= $true )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1298]) ).
thf(1303,plain,
! [SV60: set_b,SV24: b,SV72: set_b,SV56: b,SV44: set_b] :
( ( ( SV44
= ( insert_b @ SV56 @ ( sK13_SY127 @ SV72 @ SV24 @ SV60 @ SV56 @ SV44 ) ) )
= $true )
| ( ( SV24 = SV56 )
= $true )
| ( ( SV44 = SV60 )
= $false )
| ( ( SV60
= ( insert_b @ SV24 @ SV72 ) )
= $false )
| ( ( SV44
= ( insert_b @ SV56 @ SV72 ) )
= $false )
| ( ( member_b @ SV56 @ SV72 )
= $true )
| ( ( member_b @ SV24 @ SV72 )
= $true )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1299]) ).
thf(1304,plain,
! [SV44: set_b,SV60: set_b,SV24: b,SV72: set_b,SV56: b] :
( ( ( ~ ( member_b @ SV56 @ ( sK13_SY127 @ SV72 @ SV24 @ SV60 @ SV56 @ SV44 ) ) )
= $true )
| ( ( SV24 = SV56 )
= $true )
| ( ( SV44 = SV60 )
= $false )
| ( ( SV60
= ( insert_b @ SV24 @ SV72 ) )
= $false )
| ( ( SV44
= ( insert_b @ SV56 @ SV72 ) )
= $false )
| ( ( member_b @ SV56 @ SV72 )
= $true )
| ( ( member_b @ SV24 @ SV72 )
= $true )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1300]) ).
thf(1305,plain,
! [SV60: set_b,SV24: b,SV73: set_b,SV56: b,SV44: set_b] :
( ( ( SV44
= ( insert_b @ SV56 @ ( sK14_SY127 @ SV73 @ SV24 @ SV60 @ SV56 @ SV44 ) ) )
= $true )
| ( ( SV24 = SV56 )
= $true )
| ( ( SV24 = SV56 )
= $true )
| ( ( SV60
= ( insert_b @ SV24 @ SV73 ) )
= $false )
| ( ( SV44
= ( insert_b @ SV56 @ SV73 ) )
= $false )
| ( ( member_b @ SV56 @ SV73 )
= $true )
| ( ( member_b @ SV24 @ SV73 )
= $true )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1301]) ).
thf(1306,plain,
! [SV44: set_b,SV60: set_b,SV24: b,SV73: set_b,SV56: b] :
( ( ( ~ ( member_b @ SV56 @ ( sK14_SY127 @ SV73 @ SV24 @ SV60 @ SV56 @ SV44 ) ) )
= $true )
| ( ( SV24 = SV56 )
= $true )
| ( ( SV24 = SV56 )
= $true )
| ( ( SV60
= ( insert_b @ SV24 @ SV73 ) )
= $false )
| ( ( SV44
= ( insert_b @ SV56 @ SV73 ) )
= $false )
| ( ( member_b @ SV56 @ SV73 )
= $true )
| ( ( member_b @ SV24 @ SV73 )
= $true )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1302]) ).
thf(1307,plain,
! [SV44: set_b,SV60: set_b,SV24: b,SV72: set_b,SV56: b] :
( ( ( member_b @ SV56 @ ( sK13_SY127 @ SV72 @ SV24 @ SV60 @ SV56 @ SV44 ) )
= $false )
| ( ( SV24 = SV56 )
= $true )
| ( ( SV44 = SV60 )
= $false )
| ( ( SV60
= ( insert_b @ SV24 @ SV72 ) )
= $false )
| ( ( SV44
= ( insert_b @ SV56 @ SV72 ) )
= $false )
| ( ( member_b @ SV56 @ SV72 )
= $true )
| ( ( member_b @ SV24 @ SV72 )
= $true )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1304]) ).
thf(1308,plain,
! [SV44: set_b,SV60: set_b,SV24: b,SV73: set_b,SV56: b] :
( ( ( member_b @ SV56 @ ( sK14_SY127 @ SV73 @ SV24 @ SV60 @ SV56 @ SV44 ) )
= $false )
| ( ( SV24 = SV56 )
= $true )
| ( ( SV24 = SV56 )
= $true )
| ( ( SV60
= ( insert_b @ SV24 @ SV73 ) )
= $false )
| ( ( SV44
= ( insert_b @ SV56 @ SV73 ) )
= $false )
| ( ( member_b @ SV56 @ SV73 )
= $true )
| ( ( member_b @ SV24 @ SV73 )
= $true )
| ( ( member_b @ SV56 @ SV60 )
= $true )
| ( ( member_b @ SV24 @ SV44 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1306]) ).
thf(1309,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[397,1308,1307,1305,1303,1296,1294,1288,1286,1265,1263,1260,1257,1253,1249,1235,1234,1231,1230,1219,1216,1200,1194,1178,1172,1167,1163,1135,1131,1110,1091,1090,1087,1086,1084,1079,1078,1077,1076,1075,1074,1073,1072,1071,1070,1069,1068,1067,1066,1065,1064,1063,1062,1061,1060,1059,1058,1057,1056,1055,1054,1053,1052,1051,1050,1049,1048,1047,1046,1045,1044,1043,1042,1041,1040,1039,1038,1037,1036,1035,1034,1033,1032,1031,1030,1029,1028,967,966,963,962,957,931,926,884,883,869,868,867,863,859,858,856,838,836,835,823,822,820,816,815,814,813,812,810,808,806,804,803,802,801,800,798,796,794,792,791,790,789,788,786,784,782,775,774,773,729,728,727,726,725,719,717,712,690,683,682,681,680,677,672,671,665,629,627,608,605,600,598,596,574,561,558,555,552,546,543,542,530,518,499,492,491,489,488,485,484,481,477,461,452,450,399]) ).
thf(1310,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[1309]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP177^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.19 % Computer : n011.cluster.edu
% 0.11/0.19 % Model : x86_64 x86_64
% 0.11/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.19 % Memory : 8046.5625MB
% 0.11/0.19 % OS : Linux 6.8.0-71-generic
% 0.11/0.19 % CPULimit : 300
% 0.11/0.19 % WCLimit : 300
% 0.11/0.19 % DateTime : Tue Oct 6 11:19:21 UTC 2026
% 0.11/0.19 % CPUTime :
% 0.11/0.19 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 10.60/2.15 ..
% 10.60/2.15
% 10.60/2.15 No.of.Axioms: 32
% 10.60/2.15
% 10.60/2.15 Length.of.Defs: 0
% 10.60/2.15
% 10.60/2.15 Contains.Choice.Funs: true
% 10.60/2.15 ................................
% 10.60/2.15
% 10.60/2.15 ********************************
% 10.60/2.15 * All subproblems solved! *
% 10.60/2.15 ********************************
% 10.60/2.15 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:32,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:1309,loop_count:0,foatp_calls:1,translation:fof_full)
% 10.60/2.15
% 10.60/2.15 %**** Beginning of derivation protocol ****
% 10.60/2.15 % SZS output start CNFRefutation
% See solution above
% 9.62/2.16
% 9.62/2.16 %**** End of derivation protocol ****
% 9.62/2.16 %**** no. of clauses in derivation: 983 ****
% 9.62/2.16 %**** clause counter: 1309 ****
% 9.62/2.16
% 9.62/2.16 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:32,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:1309,loop_count:0,foatp_calls:1,translation:fof_full)
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