%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : ITP083^1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n012.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 10:24:03 AM UTC 2026
% Result : Theorem 4.60s 0.92s
% Output : CNFRefutation 4.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 36
% Number of leaves : 30
% Syntax : Number of formulae : 637 ( 201 unt; 0 typ; 0 def)
% Number of atoms : 4405 (1463 equ; 0 cnn)
% Maximal formula atoms : 4 ( 6 avg)
% Number of connectives : 10407 (2078 ~;1641 |; 12 &;6607 @)
% ( 0 <=>; 69 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Number of types : 53 ( 52 usr)
% Number of type conns : 412 ( 412 >; 0 *; 0 +; 0 <<)
% Number of symbols : 158 ( 155 usr; 13 con; 0-8 aty)
% Number of variables : 2348 ( 30 ^;2309 !; 9 ?;2348 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_g,type,
g: $tType ).
thf(tp_list_P1078858818l_node,type,
list_P1078858818l_node: $tType ).
thf(tp_list_P1108777338de_val,type,
list_P1108777338de_val: $tType ).
thf(tp_list_P1127016369e_node,type,
list_P1127016369e_node: $tType ).
thf(tp_list_P12184414et_val,type,
list_P12184414et_val: $tType ).
thf(tp_list_P1414038306l_node,type,
list_P1414038306l_node: $tType ).
thf(tp_list_P1811375021al_val,type,
list_P1811375021al_val: $tType ).
thf(tp_list_P1820443774de_val,type,
list_P1820443774de_val: $tType ).
thf(tp_list_P2089461677et_val,type,
list_P2089461677et_val: $tType ).
thf(tp_list_P561207620_edgeD,type,
list_P561207620_edgeD: $tType ).
thf(tp_list_P729276995de_val,type,
list_P729276995de_val: $tType ).
thf(tp_list_P761482893et_val,type,
list_P761482893et_val: $tType ).
thf(tp_list_P844977291de_val,type,
list_P844977291de_val: $tType ).
thf(tp_list_P88441325et_val,type,
list_P88441325et_val: $tType ).
thf(tp_list_P940784845al_val,type,
list_P940784845al_val: $tType ).
thf(tp_list_node,type,
list_node: $tType ).
thf(tp_list_set_val,type,
list_set_val: $tType ).
thf(tp_list_val,type,
list_val: $tType ).
thf(tp_node,type,
node: $tType ).
thf(tp_option_list_val,type,
option_list_val: $tType ).
thf(tp_option_set_val,type,
option_set_val: $tType ).
thf(tp_produc1013974930l_node,type,
produc1013974930l_node: $tType ).
thf(tp_produc1062784462et_val,type,
produc1062784462et_val: $tType ).
thf(tp_produc1324971431et_val,type,
produc1324971431et_val: $tType ).
thf(tp_produc1432036078de_val,type,
produc1432036078de_val: $tType ).
thf(tp_produc1615737844de_val,type,
produc1615737844de_val: $tType ).
thf(tp_produc1664334075de_val,type,
produc1664334075de_val: $tType ).
thf(tp_produc1858904199et_val,type,
produc1858904199et_val: $tType ).
thf(tp_produc1904584935et_val,type,
produc1904584935et_val: $tType ).
thf(tp_produc1946948786l_node,type,
produc1946948786l_node: $tType ).
thf(tp_produc452075965de_val,type,
produc452075965de_val: $tType ).
thf(tp_produc782216903al_val,type,
produc782216903al_val: $tType ).
thf(tp_produc951622955e_node,type,
produc951622955e_node: $tType ).
thf(tp_product_prod_val_val,type,
product_prod_val_val: $tType ).
thf(tp_set_Pr1157324199al_val,type,
set_Pr1157324199al_val: $tType ).
thf(tp_set_Pr1245322836de_val,type,
set_Pr1245322836de_val: $tType ).
thf(tp_set_Pr1311924359et_val,type,
set_Pr1311924359et_val: $tType ).
thf(tp_set_Pr1320419588et_val,type,
set_Pr1320419588et_val: $tType ).
thf(tp_set_Pr1587248327et_val,type,
set_Pr1587248327et_val: $tType ).
thf(tp_set_Pr2105655784l_node,type,
set_Pr2105655784l_node: $tType ).
thf(tp_set_Pr574789832l_node,type,
set_Pr574789832l_node: $tType ).
thf(tp_set_Pr699757092de_val,type,
set_Pr699757092de_val: $tType ).
thf(tp_set_Pr700443783al_val,type,
set_Pr700443783al_val: $tType ).
thf(tp_set_Pr701036849de_val,type,
set_Pr701036849de_val: $tType ).
thf(tp_set_Pr819703837de_val,type,
set_Pr819703837de_val: $tType ).
thf(tp_set_Pr9085835e_node,type,
set_Pr9085835e_node: $tType ).
thf(tp_set_Pr978022247et_val,type,
set_Pr978022247et_val: $tType ).
thf(tp_set_node,type,
set_node: $tType ).
thf(tp_set_set_val,type,
set_set_val: $tType ).
thf(tp_set_val,type,
set_val: $tType ).
thf(tp_val,type,
val: $tType ).
thf(tp_var,type,
var: $tType ).
thf(tp_alpha_n,type,
alpha_n: g > list_node ).
thf(tp_bot_bo2078591731et_val,type,
bot_bo2078591731et_val: set_Pr1311924359et_val ).
thf(tp_bot_bo404898488de_val,type,
bot_bo404898488de_val: set_Pr699757092de_val ).
thf(tp_bot_bot_set_set_val,type,
bot_bot_set_set_val: set_set_val ).
thf(tp_bot_bot_set_val,type,
bot_bot_set_val: set_val ).
thf(tp_collec1117167378et_val,type,
collec1117167378et_val: ( produc1324971431et_val > $o ) > set_Pr1311924359et_val ).
thf(tp_collec370342979de_val,type,
collec370342979de_val: ( produc1432036078de_val > $o ) > set_Pr699757092de_val ).
thf(tp_collec52550418al_val,type,
collec52550418al_val: ( product_prod_val_val > $o ) > set_Pr700443783al_val ).
thf(tp_collec885255687l_node,type,
collec885255687l_node: ( produc1946948786l_node > $o ) > set_Pr2105655784l_node ).
thf(tp_collect_node,type,
collect_node: ( node > $o ) > set_node ).
thf(tp_collect_set_val,type,
collect_set_val: ( set_val > $o ) > set_set_val ).
thf(tp_collect_val,type,
collect_val: ( val > $o ) > set_val ).
thf(tp_defs,type,
defs: g > node > set_val ).
thf(tp_dom_Pr729677986st_val,type,
dom_Pr729677986st_val: ( produc1432036078de_val > option_list_val ) > set_Pr699757092de_val ).
thf(tp_dom_val_list_val,type,
dom_val_list_val: ( val > option_list_val ) > set_val ).
thf(tp_finite1265617511et_val,type,
finite1265617511et_val: set_set_val > $o ).
thf(tp_finite1581417648et_val,type,
finite1581417648et_val: set_Pr978022247et_val > $o ).
thf(tp_finite2056463621de_val,type,
finite2056463621de_val: set_Pr699757092de_val > $o ).
thf(tp_finite423892681l_node,type,
finite423892681l_node: set_Pr2105655784l_node > $o ).
thf(tp_finite759259600al_val,type,
finite759259600al_val: set_Pr700443783al_val > $o ).
thf(tp_finite781217938de_val,type,
finite781217938de_val: set_Pr701036849de_val > $o ).
thf(tp_finite79836624et_val,type,
finite79836624et_val: set_Pr1311924359et_val > $o ).
thf(tp_finite_finite_node,type,
finite_finite_node: set_node > $o ).
thf(tp_finite_finite_val,type,
finite_finite_val: set_val > $o ).
thf(tp_g2,type,
g2: g ).
thf(tp_graph_1037173556_edgeD,type,
graph_1037173556_edgeD: ( g > list_node ) > ( g > node > list_P561207620_edgeD ) > g > node > list_node ).
thf(tp_graph_272749361_edgeD,type,
graph_272749361_edgeD: ( g > node > list_P561207620_edgeD ) > g > node > list_node ).
thf(tp_inEdges,type,
inEdges: g > node > list_P561207620_edgeD ).
thf(tp_insert1846469495et_val,type,
insert1846469495et_val: produc1324971431et_val > set_Pr1311924359et_val > set_Pr1311924359et_val ).
thf(tp_insert869443870de_val,type,
insert869443870de_val: produc1432036078de_val > set_Pr699757092de_val > set_Pr699757092de_val ).
thf(tp_insert_node,type,
insert_node: node > set_node > set_node ).
thf(tp_insert_set_val,type,
insert_set_val: set_val > set_set_val > set_set_val ).
thf(tp_insert_val,type,
insert_val: val > set_val > set_val ).
thf(tp_irredu1955035135eD_val,type,
irredu1955035135eD_val: ( g > list_node ) > ( g > node > list_P561207620_edgeD ) > ( g > node > set_val ) > ( g > node > set_val ) > ( g > produc1432036078de_val > option_list_val ) > g > set_val > set_val > $o ).
thf(tp_irredu224829488eD_val,type,
irredu224829488eD_val: ( g > list_node ) > ( g > node > list_P561207620_edgeD ) > ( g > node > set_val ) > ( g > node > set_val ) > ( g > produc1432036078de_val > option_list_val ) > g > set_val > $o ).
thf(tp_irredu681226810de_val,type,
irredu681226810de_val: ( g > list_node ) > ( g > node > set_val ) > ( g > produc1432036078de_val > option_list_val ) > g > set_val > set_set_val ).
thf(tp_irredu893086079de_val,type,
irredu893086079de_val: ( g > list_node ) > ( g > node > set_val ) > ( g > produc1432036078de_val > option_list_val ) > g > set_val > set_Pr1311924359et_val ).
thf(tp_member1110026224al_val,type,
member1110026224al_val: produc782216903al_val > set_Pr1157324199al_val > $o ).
thf(tp_member125181669et_val,type,
member125181669et_val: produc1062784462et_val > set_Pr1320419588et_val > $o ).
thf(tp_member1254968080et_val,type,
member1254968080et_val: produc1904584935et_val > set_Pr1587248327et_val > $o ).
thf(tp_member1680438992al_val,type,
member1680438992al_val: product_prod_val_val > set_Pr700443783al_val > $o ).
thf(tp_member1711426256et_val,type,
member1711426256et_val: produc1324971431et_val > set_Pr1311924359et_val > $o ).
thf(tp_member1894062994de_val,type,
member1894062994de_val: produc1664334075de_val > set_Pr701036849de_val > $o ).
thf(tp_member2110109140e_node,type,
member2110109140e_node: produc951622955e_node > set_Pr9085835e_node > $o ).
thf(tp_member313544709de_val,type,
member313544709de_val: produc1432036078de_val > set_Pr699757092de_val > $o ).
thf(tp_member39229872et_val,type,
member39229872et_val: produc1858904199et_val > set_Pr978022247et_val > $o ).
thf(tp_member562853661de_val,type,
member562853661de_val: produc1615737844de_val > set_Pr1245322836de_val > $o ).
thf(tp_member698732390de_val,type,
member698732390de_val: produc452075965de_val > set_Pr819703837de_val > $o ).
thf(tp_member76372137l_node,type,
member76372137l_node: produc1013974930l_node > set_Pr574789832l_node > $o ).
thf(tp_member828457417l_node,type,
member828457417l_node: produc1946948786l_node > set_Pr2105655784l_node > $o ).
thf(tp_member_node,type,
member_node: node > set_node > $o ).
thf(tp_member_set_val,type,
member_set_val: set_val > set_set_val > $o ).
thf(tp_member_val,type,
member_val: val > set_val > $o ).
thf(tp_none_list_val,type,
none_list_val: option_list_val ).
thf(tp_ord_le1643692676de_val,type,
ord_le1643692676de_val: set_Pr699757092de_val > set_Pr699757092de_val > $o ).
thf(tp_ord_le1742111550et_val,type,
ord_le1742111550et_val: set_set_val > set_set_val > $o ).
thf(tp_ord_le299366439et_val,type,
ord_le299366439et_val: set_Pr1311924359et_val > set_Pr1311924359et_val > $o ).
thf(tp_ord_le596993316et_val,type,
ord_le596993316et_val: option_set_val > option_set_val > $o ).
thf(tp_ord_less_eq_node,type,
ord_less_eq_node: node > node > $o ).
thf(tp_ord_less_eq_set_node,type,
ord_less_eq_set_node: set_node > set_node > $o ).
thf(tp_ord_less_eq_set_val,type,
ord_less_eq_set_val: set_val > set_val > $o ).
thf(tp_ord_less_eq_val,type,
ord_less_eq_val: val > val > $o ).
thf(tp_phi,type,
phi: val ).
thf(tp_phi2,type,
phi2: val ).
thf(tp_phi_s,type,
phi_s: val ).
thf(tp_phis,type,
phis: g > produc1432036078de_val > option_list_val ).
thf(tp_produc1041633943et_val,type,
produc1041633943et_val: set_val > set_val > produc1324971431et_val ).
thf(tp_produc1074923692l_node,type,
produc1074923692l_node: val > node > produc1946948786l_node ).
thf(tp_produc1162531244de_val,type,
produc1162531244de_val: node > produc1432036078de_val > produc1615737844de_val ).
thf(tp_produc1337903031al_val,type,
produc1337903031al_val: set_val > val > produc782216903al_val ).
thf(tp_produc1377626967et_val,type,
produc1377626967et_val: produc1324971431et_val > produc1324971431et_val > produc1904584935et_val ).
thf(tp_produc1446164855et_val,type,
produc1446164855et_val: val > set_val > produc1858904199et_val ).
thf(tp_produc1470527136de_val,type,
produc1470527136de_val: node > val > produc1432036078de_val ).
thf(tp_produc1571934709de_val,type,
produc1571934709de_val: val > produc1432036078de_val > produc1664334075de_val ).
thf(tp_produc2042994048et_val,type,
produc2042994048et_val: node > set_val > produc1062784462et_val ).
thf(tp_produc2052093836l_node,type,
produc2052093836l_node: set_val > node > produc1013974930l_node ).
thf(tp_produc453318901de_val,type,
produc453318901de_val: produc1432036078de_val > produc1432036078de_val > produc452075965de_val ).
thf(tp_produc457016035e_node,type,
produc457016035e_node: node > node > produc951622955e_node ).
thf(tp_product_Pair_val_val,type,
product_Pair_val_val: val > val > product_prod_val_val ).
thf(tp_s,type,
s: val ).
thf(tp_sK10_SY141,type,
sK10_SY141: val > set_val > ( val > $o ) > set_val > val ).
thf(tp_sK11_SY140,type,
sK11_SY140: val > ( val > $o ) > set_val > set_val > val ).
thf(tp_sK12_SY140,type,
sK12_SY140: val > ( val > $o ) > set_val > set_val > val ).
thf(tp_sK13_SY141,type,
sK13_SY141: val > set_val > ( val > $o ) > set_val > val ).
thf(tp_sK14_SY141,type,
sK14_SY141: val > set_val > ( val > $o ) > set_val > val ).
thf(tp_sK15_SY142,type,
sK15_SY142: set_val > val > ( val > $o ) > set_val > val ).
thf(tp_sK16_SY142,type,
sK16_SY142: set_val > val > ( val > $o ) > set_val > val ).
thf(tp_sK17_SY142,type,
sK17_SY142: set_val > val > ( val > $o ) > set_val > val ).
thf(tp_sK18_SY142,type,
sK18_SY142: set_val > val > ( val > $o ) > set_val > val ).
thf(tp_sK19_SY142,type,
sK19_SY142: set_val > val > ( val > $o ) > set_val > val ).
thf(tp_sK1_Phi,type,
sK1_Phi: val ).
thf(tp_sK20_SY142,type,
sK20_SY142: set_val > val > ( val > $o ) > set_val > val ).
thf(tp_sK2_SY134,type,
sK2_SY134: set_val > set_val > val ).
thf(tp_sK3_SY137,type,
sK3_SY137: ( val > $o ) > set_val > set_val > val ).
thf(tp_sK4_SY144,type,
sK4_SY144: set_val > set_val > val ).
thf(tp_sK5_SY145,type,
sK5_SY145: set_val > set_val > val ).
thf(tp_sK6_SY138,type,
sK6_SY138: set_val > ( val > $o ) > set_val > val ).
thf(tp_sK7_SY139,type,
sK7_SY139: set_val > ( val > $o ) > set_val > val ).
thf(tp_sK8_SY139,type,
sK8_SY139: set_val > ( val > $o ) > set_val > val ).
thf(tp_sK9_SY140,type,
sK9_SY140: val > ( val > $o ) > set_val > set_val > val ).
thf(tp_sSA_CF1252180629de_val,type,
sSA_CF1252180629de_val: ( g > list_node ) > ( g > node > set_val ) > ( g > produc1432036078de_val > option_list_val ) > g > val > val > $o ).
thf(tp_sSA_CF139593942de_val,type,
sSA_CF139593942de_val: ( g > node > set_val ) > ( g > produc1432036078de_val > option_list_val ) > g > node > set_val ).
thf(tp_sSA_CF1517915011eD_val,type,
sSA_CF1517915011eD_val: ( g > list_node ) > ( g > node > list_P561207620_edgeD ) > ( g > node > set_val ) > ( g > node > set_val ) > ( g > produc1432036078de_val > option_list_val ) > g > set_val ).
thf(tp_sSA_CF1660885746eD_val,type,
sSA_CF1660885746eD_val: ( g > list_node ) > ( g > node > list_P561207620_edgeD ) > ( g > node > set_val ) > ( g > node > set_val ) > ( g > produc1432036078de_val > option_list_val ) > g > $o ).
thf(tp_sSA_CF178745443eD_val,type,
sSA_CF178745443eD_val: ( g > list_node ) > ( g > node > list_P561207620_edgeD ) > ( g > node > set_val ) > ( g > produc1432036078de_val > option_list_val ) > g > node > set_val ).
thf(tp_sSA_CF1899243830eD_val,type,
sSA_CF1899243830eD_val: ( g > list_node ) > ( g > node > list_P561207620_edgeD ) > ( g > node > set_val ) > ( g > node > set_val ) > ( g > produc1432036078de_val > option_list_val ) > g > val > $o ).
thf(tp_sSA_CF1909049442de_val,type,
sSA_CF1909049442de_val: ( g > list_node ) > ( g > node > set_val ) > ( g > produc1432036078de_val > option_list_val ) > g > val > val > $o ).
thf(tp_sSA_CF2074824714de_val,type,
sSA_CF2074824714de_val: ( g > list_node ) > ( g > node > set_val ) > ( g > node > set_val ) > ( g > produc1432036078de_val > option_list_val ) > g > $o ).
thf(tp_sSA_CF262257161de_val,type,
sSA_CF262257161de_val: ( g > list_node ) > ( g > node > set_val ) > ( g > produc1432036078de_val > option_list_val ) > g > val > option_list_val ).
thf(tp_sSA_CF370335846de_val,type,
sSA_CF370335846de_val: ( g > produc1432036078de_val > option_list_val ) > g > node > set_val ).
thf(tp_sSA_CF551432799de_val,type,
sSA_CF551432799de_val: ( g > list_node ) > ( g > node > set_val ) > ( g > produc1432036078de_val > option_list_val ) > g > val > node ).
thf(tp_sSA_CF655860150de_val,type,
sSA_CF655860150de_val: ( g > list_node ) > ( g > node > set_val ) > g > set_val ).
thf(tp_sSA_CF794421325de_val,type,
sSA_CF794421325de_val: ( g > list_node ) > ( g > node > set_val ) > ( g > node > set_val ) > ( g > produc1432036078de_val > option_list_val ) > g > val > $o ).
thf(tp_sSA_CF848637139eD_val,type,
sSA_CF848637139eD_val: ( g > list_node ) > ( g > node > list_P561207620_edgeD ) > ( g > produc1432036078de_val > option_list_val ) > g > node > set_val ).
thf(tp_set_Pr1006393724et_val,type,
set_Pr1006393724et_val: list_P88441325et_val > set_Pr1587248327et_val ).
thf(tp_set_Pr102746428al_val,type,
set_Pr102746428al_val: list_P1811375021al_val > set_Pr700443783al_val ).
thf(tp_set_Pr1027623516al_val,type,
set_Pr1027623516al_val: list_P940784845al_val > set_Pr1157324199al_val ).
thf(tp_set_Pr1085970585de_val,type,
set_Pr1085970585de_val: list_P1820443774de_val > set_Pr699757092de_val ).
thf(tp_set_Pr1157337481de_val,type,
set_Pr1157337481de_val: list_P1108777338de_val > set_Pr1245322836de_val ).
thf(tp_set_Pr1600883293l_node,type,
set_Pr1600883293l_node: list_P1078858818l_node > set_Pr2105655784l_node ).
thf(tp_set_Pr1904955709l_node,type,
set_Pr1904955709l_node: list_P1414038306l_node > set_Pr574789832l_node ).
thf(tp_set_Pr1953765241et_val,type,
set_Pr1953765241et_val: list_P12184414et_val > set_Pr1320419588et_val ).
thf(tp_set_Pr2104310812et_val,type,
set_Pr2104310812et_val: list_P761482893et_val > set_Pr978022247et_val ).
thf(tp_set_Pr284769596et_val,type,
set_Pr284769596et_val: list_P2089461677et_val > set_Pr1311924359et_val ).
thf(tp_set_Pr434939430de_val,type,
set_Pr434939430de_val: list_P844977291de_val > set_Pr701036849de_val ).
thf(tp_set_Pr450990656e_node,type,
set_Pr450990656e_node: list_P1127016369e_node > set_Pr9085835e_node ).
thf(tp_set_Pr482027474de_val,type,
set_Pr482027474de_val: list_P729276995de_val > set_Pr819703837de_val ).
thf(tp_set_node2,type,
set_node2: list_node > set_node ).
thf(tp_set_set_val2,type,
set_set_val2: list_set_val > set_set_val ).
thf(tp_set_val2,type,
set_val2: list_val > set_val ).
thf(tp_some_list_val,type,
some_list_val: list_val > option_list_val ).
thf(tp_some_set_val,type,
some_set_val: set_val > option_set_val ).
thf(tp_sup_su1487070040et_val,type,
sup_su1487070040et_val: option_set_val > option_set_val > option_set_val ).
thf(tp_sup_su2005730907et_val,type,
sup_su2005730907et_val: set_Pr1311924359et_val > set_Pr1311924359et_val > set_Pr1311924359et_val ).
thf(tp_sup_su2138939728de_val,type,
sup_su2138939728de_val: set_Pr699757092de_val > set_Pr699757092de_val > set_Pr699757092de_val ).
thf(tp_sup_sup_set_node,type,
sup_sup_set_node: set_node > set_node > set_node ).
thf(tp_sup_sup_set_set_val,type,
sup_sup_set_set_val: set_set_val > set_set_val > set_set_val ).
thf(tp_sup_sup_set_val,type,
sup_sup_set_val: set_val > set_val > set_val ).
thf(tp_transi1953622797et_val,type,
transi1953622797et_val: set_Pr1311924359et_val > $o ).
thf(tp_transi1991289355lp_val,type,
transi1991289355lp_val: ( val > val > $o ) > val > val > $o ).
thf(tp_uses,type,
uses: g > node > set_val ).
thf(tp_var2,type,
var2: g > val > var ).
thf(tp_zip_Pr1472086037de_val,type,
zip_Pr1472086037de_val: list_P1820443774de_val > list_P1820443774de_val > list_P729276995de_val ).
thf(tp_zip_Pr21865079et_val,type,
zip_Pr21865079et_val: list_P2089461677et_val > list_P2089461677et_val > list_P88441325et_val ).
thf(tp_zip_no263301324de_val,type,
zip_no263301324de_val: list_node > list_P1820443774de_val > list_P1108777338de_val ).
thf(tp_zip_node_node,type,
zip_node_node: list_node > list_node > list_P1127016369e_node ).
thf(tp_zip_node_set_val,type,
zip_node_set_val: list_node > list_set_val > list_P12184414et_val ).
thf(tp_zip_node_val,type,
zip_node_val: list_node > list_val > list_P1820443774de_val ).
thf(tp_zip_set_val_node,type,
zip_set_val_node: list_set_val > list_node > list_P1414038306l_node ).
thf(tp_zip_set_val_set_val,type,
zip_set_val_set_val: list_set_val > list_set_val > list_P2089461677et_val ).
thf(tp_zip_set_val_val,type,
zip_set_val_val: list_set_val > list_val > list_P940784845al_val ).
thf(tp_zip_va679686869de_val,type,
zip_va679686869de_val: list_val > list_P1820443774de_val > list_P844977291de_val ).
thf(tp_zip_val_node,type,
zip_val_node: list_val > list_node > list_P1078858818l_node ).
thf(tp_zip_val_set_val,type,
zip_val_set_val: list_val > list_set_val > list_P761482893et_val ).
thf(tp_zip_val_val,type,
zip_val_val: list_val > list_val > list_P1811375021al_val ).
thf(50,axiom,
! [C2: val,A2: set_val,B2: set_val] :
( ( member_val @ C2 @ ( sup_sup_set_val @ A2 @ B2 ) )
=> ( ~ ( member_val @ C2 @ A2 )
=> ( member_val @ C2 @ B2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_303_UnE) ).
thf(55,axiom,
! [C2: val,A2: set_val,B2: set_val] :
( ( member_val @ C2 @ A2 )
=> ( member_val @ C2 @ ( sup_sup_set_val @ A2 @ B2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_298_UnI1) ).
thf(60,axiom,
! [C2: val,B2: set_val,A2: set_val] :
( ( member_val @ C2 @ B2 )
=> ( member_val @ C2 @ ( sup_sup_set_val @ A2 @ B2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_293_UnI2) ).
thf(65,axiom,
! [A2: set_val,B2: set_val,P2: val > $o] :
( ( ? [X: val] :
( ( member_val @ X @ ( sup_sup_set_val @ A2 @ B2 ) )
& ( P2 @ X ) ) )
= ( ? [X: val] :
( ( member_val @ X @ A2 )
& ( P2 @ X ) )
| ? [X: val] :
( ( member_val @ X @ B2 )
& ( P2 @ X ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_288_bex__Un) ).
thf(66,axiom,
! [A2: set_val,B2: set_val,P2: val > $o] :
( ( ! [X: val] :
( ( member_val @ X @ ( sup_sup_set_val @ A2 @ B2 ) )
=> ( P2 @ X ) ) )
= ( ! [X: val] :
( ( member_val @ X @ A2 )
=> ( P2 @ X ) )
& ! [X: val] :
( ( member_val @ X @ B2 )
=> ( P2 @ X ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_287_ball__Un) ).
thf(84,axiom,
! [A2: set_val,B2: set_val,X2: val] :
( ( ord_less_eq_set_val @ A2 @ B2 )
=> ( ( member_val @ X2 @ A2 )
=> ( member_val @ X2 @ B2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_269_in__mono) ).
thf(89,axiom,
! [A2: set_val,B2: set_val,C2: val] :
( ( ord_less_eq_set_val @ A2 @ B2 )
=> ( ( member_val @ C2 @ A2 )
=> ( member_val @ C2 @ B2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_264_subsetD) ).
thf(95,axiom,
( ord_less_eq_set_val
= ( ^ [A5: set_val,B4: set_val] :
! [X: val] :
( ( member_val @ X @ A5 )
=> ( member_val @ X @ B4 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_258_subset__eq) ).
thf(102,axiom,
( ord_less_eq_set_val
= ( ^ [A5: set_val,B4: set_val] :
! [T2: val] :
( ( member_val @ T2 @ A5 )
=> ( member_val @ T2 @ B4 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_251_subset__iff) ).
thf(137,axiom,
! [C2: val,B2: set_val,A2: set_val] :
( ( ~ ( member_val @ C2 @ B2 )
=> ( member_val @ C2 @ A2 ) )
=> ( member_val @ C2 @ ( sup_sup_set_val @ A2 @ B2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_216_UnCI) ).
thf(142,axiom,
! [C2: val,A2: set_val,B2: set_val] :
( ( member_val @ C2 @ ( sup_sup_set_val @ A2 @ B2 ) )
= ( ( member_val @ C2 @ A2 )
| ( member_val @ C2 @ B2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_211_Un__iff) ).
thf(152,axiom,
! [A2: set_val,B2: set_val] :
( ! [X3: val] :
( ( member_val @ X3 @ A2 )
=> ( member_val @ X3 @ B2 ) )
=> ( ord_less_eq_set_val @ A2 @ B2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_201_subsetI) ).
thf(277,axiom,
sSA_CF1517915011eD_val = sSA_CF1517915011eD_val,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_76_CFG__SSA__base_OallVars_Ocong) ).
thf(293,axiom,
! [A2: set_val] :
( ( collect_val
@ ^ [X: val] : ( member_val @ X @ A2 ) )
= A2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_60_Collect__mem__eq) ).
thf(298,axiom,
! [A: val,P2: val > $o] :
( ( member_val @ A @ ( collect_val @ P2 ) )
= ( P2 @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_55_mem__Collect__eq) ).
thf(303,axiom,
! [V: val,G: g,N: node] :
( ( member_val @ V @ ( defs @ G @ N ) )
=> ( member_val @ V @ ( sSA_CF139593942de_val @ defs @ phis @ G @ N ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_50_defs__in__allDefs) ).
thf(324,axiom,
! [G: g,N: node] : ( finite_finite_val @ ( uses @ G @ N ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_29_uses__finite) ).
thf(333,axiom,
! [G: g,N: node] : ( finite_finite_val @ ( defs @ G @ N ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_20_defs__finite) ).
thf(342,axiom,
! [V: val,G: g,N: node] :
( ( member_val @ V @ ( uses @ G @ N ) )
=> ( member_val @ V @ ( sSA_CF178745443eD_val @ alpha_n @ inEdges @ uses @ phis @ G @ N ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_11_uses__in__allUses) ).
thf(343,axiom,
! [G: g] : ( finite_finite_val @ ( sSA_CF1517915011eD_val @ alpha_n @ inEdges @ defs @ uses @ phis @ G ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_10_allVars__finite) ).
thf(344,axiom,
! [G: g,V: val] :
( ( sSA_CF794421325de_val @ alpha_n @ defs @ uses @ phis @ G @ V )
=> ( member_val @ V @ ( sSA_CF1517915011eD_val @ alpha_n @ inEdges @ defs @ uses @ phis @ G ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_9_liveVal__in__allVars) ).
thf(345,axiom,
! [G: g,V: val] :
( ( sSA_CF1899243830eD_val @ alpha_n @ inEdges @ defs @ uses @ phis @ G @ V )
=> ( member_val @ V @ ( sSA_CF1517915011eD_val @ alpha_n @ inEdges @ defs @ uses @ phis @ G ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_8_trivial__in__allVars) ).
thf(346,axiom,
! [V: val,G: g,N: node] :
( ( member_val @ V @ ( uses @ G @ N ) )
=> ( member_val @ V @ ( sSA_CF655860150de_val @ alpha_n @ uses @ G ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7_uses__in__vars) ).
thf(347,axiom,
! [G: g,V: val,V2: val] :
( ( sSA_CF1252180629de_val @ alpha_n @ defs @ phis @ G @ V @ V2 )
=> ( member_val @ V2 @ ( sSA_CF1517915011eD_val @ alpha_n @ inEdges @ defs @ uses @ phis @ G ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6_phiArg__in__allVars) ).
thf(348,axiom,
~ ! [Phi: val] :
~ ( sSA_CF1252180629de_val @ alpha_n @ defs @ phis @ g2 @ Phi @ phi_s ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5__092_060open_062_092_060And_062thesis_O_A_I_092_060And_062_092_060phi_062_H_O_AphiArg_Ag_A_092_060phi_062_H_A_092_060phi_062_092_060_094sub_062s_A_092_060Longrightarrow_062_Athesis_J_A_092_060Longrightarrow_062_Athesis_092_060close_062) ).
thf(349,axiom,
member_val @ phi @ ( sSA_CF1517915011eD_val @ alpha_n @ inEdges @ defs @ uses @ phis @ g2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4_assms_I2_J) ).
thf(350,axiom,
member_val @ s @ ( sSA_CF1517915011eD_val @ alpha_n @ inEdges @ defs @ uses @ phis @ g2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3_assms_I3_J) ).
thf(352,axiom,
phi != phi_s,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1_False) ).
thf(353,axiom,
phi_s != s,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0_assms_I4_J) ).
thf(354,conjecture,
member_val @ phi_s @ ( sSA_CF1517915011eD_val @ alpha_n @ inEdges @ defs @ uses @ phis @ g2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
thf(355,negated_conjecture,
( ( member_val @ phi_s @ ( sSA_CF1517915011eD_val @ alpha_n @ inEdges @ defs @ uses @ phis @ g2 ) )
= $false ),
inference(negate_conjecture,[status(cth)],[354]) ).
thf(356,plain,
( ( member_val @ phi_s @ ( sSA_CF1517915011eD_val @ alpha_n @ inEdges @ defs @ uses @ phis @ g2 ) )
= $false ),
inference(unfold_def,[status(thm)],[355]) ).
thf(357,plain,
( ( ! [C2: val,A2: set_val,B2: set_val] :
( ( member_val @ C2 @ ( sup_sup_set_val @ A2 @ B2 ) )
=> ( ~ ( member_val @ C2 @ A2 )
=> ( member_val @ C2 @ B2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[50]) ).
thf(358,plain,
( ( ! [C2: val,A2: set_val,B2: set_val] :
( ( member_val @ C2 @ A2 )
=> ( member_val @ C2 @ ( sup_sup_set_val @ A2 @ B2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[55]) ).
thf(359,plain,
( ( ! [C2: val,B2: set_val,A2: set_val] :
( ( member_val @ C2 @ B2 )
=> ( member_val @ C2 @ ( sup_sup_set_val @ A2 @ B2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[60]) ).
thf(360,plain,
( ( ! [A2: set_val,B2: set_val,P2: val > $o] :
( ( ? [X: val] :
( ( member_val @ X @ ( sup_sup_set_val @ A2 @ B2 ) )
& ( P2 @ X ) ) )
= ( ? [X: val] :
( ( member_val @ X @ A2 )
& ( P2 @ X ) )
| ? [X: val] :
( ( member_val @ X @ B2 )
& ( P2 @ X ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[65]) ).
thf(361,plain,
( ( ! [A2: set_val,B2: set_val,P2: val > $o] :
( ( ! [X: val] :
( ( member_val @ X @ ( sup_sup_set_val @ A2 @ B2 ) )
=> ( P2 @ X ) ) )
= ( ! [X: val] :
( ( member_val @ X @ A2 )
=> ( P2 @ X ) )
& ! [X: val] :
( ( member_val @ X @ B2 )
=> ( P2 @ X ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[66]) ).
thf(362,plain,
( ( ! [A2: set_val,B2: set_val,X2: val] :
( ( ord_less_eq_set_val @ A2 @ B2 )
=> ( ( member_val @ X2 @ A2 )
=> ( member_val @ X2 @ B2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[84]) ).
thf(363,plain,
( ( ! [A2: set_val,B2: set_val,C2: val] :
( ( ord_less_eq_set_val @ A2 @ B2 )
=> ( ( member_val @ C2 @ A2 )
=> ( member_val @ C2 @ B2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[89]) ).
thf(364,plain,
( ( ord_less_eq_set_val
= ( ^ [A5: set_val,B4: set_val] :
! [X: val] :
( ( member_val @ X @ A5 )
=> ( member_val @ X @ B4 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[95]) ).
thf(365,plain,
( ( ord_less_eq_set_val
= ( ^ [A5: set_val,B4: set_val] :
! [T2: val] :
( ( member_val @ T2 @ A5 )
=> ( member_val @ T2 @ B4 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[102]) ).
thf(366,plain,
( ( ! [C2: val,B2: set_val,A2: set_val] :
( ( ~ ( member_val @ C2 @ B2 )
=> ( member_val @ C2 @ A2 ) )
=> ( member_val @ C2 @ ( sup_sup_set_val @ A2 @ B2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[137]) ).
thf(367,plain,
( ( ! [C2: val,A2: set_val,B2: set_val] :
( ( member_val @ C2 @ ( sup_sup_set_val @ A2 @ B2 ) )
= ( ( member_val @ C2 @ A2 )
| ( member_val @ C2 @ B2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[142]) ).
thf(368,plain,
( ( ! [A2: set_val,B2: set_val] :
( ! [X3: val] :
( ( member_val @ X3 @ A2 )
=> ( member_val @ X3 @ B2 ) )
=> ( ord_less_eq_set_val @ A2 @ B2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[152]) ).
thf(369,plain,
( ( sSA_CF1517915011eD_val = sSA_CF1517915011eD_val )
= $true ),
inference(unfold_def,[status(thm)],[277]) ).
thf(370,plain,
( ( ! [A2: set_val] :
( ( collect_val
@ ^ [X: val] : ( member_val @ X @ A2 ) )
= A2 ) )
= $true ),
inference(unfold_def,[status(thm)],[293]) ).
thf(371,plain,
( ( ! [A: val,P2: val > $o] :
( ( member_val @ A @ ( collect_val @ P2 ) )
= ( P2 @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[298]) ).
thf(372,plain,
( ( ! [V: val,G: g,N: node] :
( ( member_val @ V @ ( defs @ G @ N ) )
=> ( member_val @ V @ ( sSA_CF139593942de_val @ defs @ phis @ G @ N ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[303]) ).
thf(373,plain,
( ( ! [G: g,N: node] : ( finite_finite_val @ ( uses @ G @ N ) ) )
= $true ),
inference(unfold_def,[status(thm)],[324]) ).
thf(374,plain,
( ( ! [G: g,N: node] : ( finite_finite_val @ ( defs @ G @ N ) ) )
= $true ),
inference(unfold_def,[status(thm)],[333]) ).
thf(375,plain,
( ( ! [V: val,G: g,N: node] :
( ( member_val @ V @ ( uses @ G @ N ) )
=> ( member_val @ V @ ( sSA_CF178745443eD_val @ alpha_n @ inEdges @ uses @ phis @ G @ N ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[342]) ).
thf(376,plain,
( ( ! [G: g] : ( finite_finite_val @ ( sSA_CF1517915011eD_val @ alpha_n @ inEdges @ defs @ uses @ phis @ G ) ) )
= $true ),
inference(unfold_def,[status(thm)],[343]) ).
thf(377,plain,
( ( ! [G: g,V: val] :
( ( sSA_CF794421325de_val @ alpha_n @ defs @ uses @ phis @ G @ V )
=> ( member_val @ V @ ( sSA_CF1517915011eD_val @ alpha_n @ inEdges @ defs @ uses @ phis @ G ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[344]) ).
thf(378,plain,
( ( ! [G: g,V: val] :
( ( sSA_CF1899243830eD_val @ alpha_n @ inEdges @ defs @ uses @ phis @ G @ V )
=> ( member_val @ V @ ( sSA_CF1517915011eD_val @ alpha_n @ inEdges @ defs @ uses @ phis @ G ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[345]) ).
thf(379,plain,
( ( ! [V: val,G: g,N: node] :
( ( member_val @ V @ ( uses @ G @ N ) )
=> ( member_val @ V @ ( sSA_CF655860150de_val @ alpha_n @ uses @ G ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[346]) ).
thf(380,plain,
( ( ! [G: g,V: val,V2: val] :
( ( sSA_CF1252180629de_val @ alpha_n @ defs @ phis @ G @ V @ V2 )
=> ( member_val @ V2 @ ( sSA_CF1517915011eD_val @ alpha_n @ inEdges @ defs @ uses @ phis @ G ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[347]) ).
thf(381,plain,
( ( ~ ! [Phi: val] :
~ ( sSA_CF1252180629de_val @ alpha_n @ defs @ phis @ g2 @ Phi @ phi_s ) )
= $true ),
inference(unfold_def,[status(thm)],[348]) ).
thf(382,plain,
( ( member_val @ phi @ ( sSA_CF1517915011eD_val @ alpha_n @ inEdges @ defs @ uses @ phis @ g2 ) )
= $true ),
inference(unfold_def,[status(thm)],[349]) ).
thf(383,plain,
( ( member_val @ s @ ( sSA_CF1517915011eD_val @ alpha_n @ inEdges @ defs @ uses @ phis @ g2 ) )
= $true ),
inference(unfold_def,[status(thm)],[350]) ).
thf(384,plain,
( ( phi != phi_s )
= $true ),
inference(unfold_def,[status(thm)],[352]) ).
thf(385,plain,
( ( phi_s != s )
= $true ),
inference(unfold_def,[status(thm)],[353]) ).
thf(386,plain,
( ( ~ ( member_val @ phi_s @ ( sSA_CF1517915011eD_val @ alpha_n @ inEdges @ defs @ uses @ phis @ g2 ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[356]) ).
thf(387,plain,
( ( phi_s != s )
= $true ),
inference(copy,[status(thm)],[385]) ).
thf(388,plain,
( ( phi != phi_s )
= $true ),
inference(copy,[status(thm)],[384]) ).
thf(389,plain,
( ( member_val @ s @ ( sSA_CF1517915011eD_val @ alpha_n @ inEdges @ defs @ uses @ phis @ g2 ) )
= $true ),
inference(copy,[status(thm)],[383]) ).
thf(390,plain,
( ( member_val @ phi @ ( sSA_CF1517915011eD_val @ alpha_n @ inEdges @ defs @ uses @ phis @ g2 ) )
= $true ),
inference(copy,[status(thm)],[382]) ).
thf(391,plain,
( ( ~ ! [Phi: val] :
~ ( sSA_CF1252180629de_val @ alpha_n @ defs @ phis @ g2 @ Phi @ phi_s ) )
= $true ),
inference(copy,[status(thm)],[381]) ).
thf(392,plain,
( ( ! [G: g,V: val,V2: val] :
( ( sSA_CF1252180629de_val @ alpha_n @ defs @ phis @ G @ V @ V2 )
=> ( member_val @ V2 @ ( sSA_CF1517915011eD_val @ alpha_n @ inEdges @ defs @ uses @ phis @ G ) ) ) )
= $true ),
inference(copy,[status(thm)],[380]) ).
thf(393,plain,
( ( ! [V: val,G: g,N: node] :
( ( member_val @ V @ ( uses @ G @ N ) )
=> ( member_val @ V @ ( sSA_CF655860150de_val @ alpha_n @ uses @ G ) ) ) )
= $true ),
inference(copy,[status(thm)],[379]) ).
thf(394,plain,
( ( ! [G: g,V: val] :
( ( sSA_CF1899243830eD_val @ alpha_n @ inEdges @ defs @ uses @ phis @ G @ V )
=> ( member_val @ V @ ( sSA_CF1517915011eD_val @ alpha_n @ inEdges @ defs @ uses @ phis @ G ) ) ) )
= $true ),
inference(copy,[status(thm)],[378]) ).
thf(395,plain,
( ( ! [G: g,V: val] :
( ( sSA_CF794421325de_val @ alpha_n @ defs @ uses @ phis @ G @ V )
=> ( member_val @ V @ ( sSA_CF1517915011eD_val @ alpha_n @ inEdges @ defs @ uses @ phis @ G ) ) ) )
= $true ),
inference(copy,[status(thm)],[377]) ).
thf(396,plain,
( ( ! [G: g] : ( finite_finite_val @ ( sSA_CF1517915011eD_val @ alpha_n @ inEdges @ defs @ uses @ phis @ G ) ) )
= $true ),
inference(copy,[status(thm)],[376]) ).
thf(397,plain,
( ( ! [V: val,G: g,N: node] :
( ( member_val @ V @ ( uses @ G @ N ) )
=> ( member_val @ V @ ( sSA_CF178745443eD_val @ alpha_n @ inEdges @ uses @ phis @ G @ N ) ) ) )
= $true ),
inference(copy,[status(thm)],[375]) ).
thf(398,plain,
( ( ! [G: g,N: node] : ( finite_finite_val @ ( defs @ G @ N ) ) )
= $true ),
inference(copy,[status(thm)],[374]) ).
thf(399,plain,
( ( ! [G: g,N: node] : ( finite_finite_val @ ( uses @ G @ N ) ) )
= $true ),
inference(copy,[status(thm)],[373]) ).
thf(400,plain,
( ( ! [V: val,G: g,N: node] :
( ( member_val @ V @ ( defs @ G @ N ) )
=> ( member_val @ V @ ( sSA_CF139593942de_val @ defs @ phis @ G @ N ) ) ) )
= $true ),
inference(copy,[status(thm)],[372]) ).
thf(401,plain,
( ( ! [A: val,P2: val > $o] :
( ( member_val @ A @ ( collect_val @ P2 ) )
= ( P2 @ A ) ) )
= $true ),
inference(copy,[status(thm)],[371]) ).
thf(402,plain,
( ( ! [A2: set_val] :
( ( collect_val
@ ^ [X: val] : ( member_val @ X @ A2 ) )
= A2 ) )
= $true ),
inference(copy,[status(thm)],[370]) ).
thf(403,plain,
( ( sSA_CF1517915011eD_val = sSA_CF1517915011eD_val )
= $true ),
inference(copy,[status(thm)],[369]) ).
thf(404,plain,
( ( ! [A2: set_val,B2: set_val] :
( ! [X3: val] :
( ( member_val @ X3 @ A2 )
=> ( member_val @ X3 @ B2 ) )
=> ( ord_less_eq_set_val @ A2 @ B2 ) ) )
= $true ),
inference(copy,[status(thm)],[368]) ).
thf(405,plain,
( ( ! [C2: val,A2: set_val,B2: set_val] :
( ( member_val @ C2 @ ( sup_sup_set_val @ A2 @ B2 ) )
= ( ( member_val @ C2 @ A2 )
| ( member_val @ C2 @ B2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[367]) ).
thf(406,plain,
( ( ! [C2: val,B2: set_val,A2: set_val] :
( ( ~ ( member_val @ C2 @ B2 )
=> ( member_val @ C2 @ A2 ) )
=> ( member_val @ C2 @ ( sup_sup_set_val @ A2 @ B2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[366]) ).
thf(407,plain,
( ( ord_less_eq_set_val
= ( ^ [A5: set_val,B4: set_val] :
! [T2: val] :
( ( member_val @ T2 @ A5 )
=> ( member_val @ T2 @ B4 ) ) ) )
= $true ),
inference(copy,[status(thm)],[365]) ).
thf(408,plain,
( ( ord_less_eq_set_val
= ( ^ [A5: set_val,B4: set_val] :
! [X: val] :
( ( member_val @ X @ A5 )
=> ( member_val @ X @ B4 ) ) ) )
= $true ),
inference(copy,[status(thm)],[364]) ).
thf(409,plain,
( ( ! [A2: set_val,B2: set_val,C2: val] :
( ( ord_less_eq_set_val @ A2 @ B2 )
=> ( ( member_val @ C2 @ A2 )
=> ( member_val @ C2 @ B2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[363]) ).
thf(410,plain,
( ( ! [A2: set_val,B2: set_val,X2: val] :
( ( ord_less_eq_set_val @ A2 @ B2 )
=> ( ( member_val @ X2 @ A2 )
=> ( member_val @ X2 @ B2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[362]) ).
thf(411,plain,
( ( ! [A2: set_val,B2: set_val,P2: val > $o] :
( ( ! [X: val] :
( ( member_val @ X @ ( sup_sup_set_val @ A2 @ B2 ) )
=> ( P2 @ X ) ) )
= ( ! [X: val] :
( ( member_val @ X @ A2 )
=> ( P2 @ X ) )
& ! [X: val] :
( ( member_val @ X @ B2 )
=> ( P2 @ X ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[361]) ).
thf(412,plain,
( ( ! [A2: set_val,B2: set_val,P2: val > $o] :
( ( ? [X: val] :
( ( member_val @ X @ ( sup_sup_set_val @ A2 @ B2 ) )
& ( P2 @ X ) ) )
= ( ? [X: val] :
( ( member_val @ X @ A2 )
& ( P2 @ X ) )
| ? [X: val] :
( ( member_val @ X @ B2 )
& ( P2 @ X ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[360]) ).
thf(413,plain,
( ( ! [C2: val,B2: set_val,A2: set_val] :
( ( member_val @ C2 @ B2 )
=> ( member_val @ C2 @ ( sup_sup_set_val @ A2 @ B2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[359]) ).
thf(414,plain,
( ( ! [C2: val,A2: set_val,B2: set_val] :
( ( member_val @ C2 @ A2 )
=> ( member_val @ C2 @ ( sup_sup_set_val @ A2 @ B2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[358]) ).
thf(415,plain,
( ( ! [C2: val,A2: set_val,B2: set_val] :
( ( member_val @ C2 @ ( sup_sup_set_val @ A2 @ B2 ) )
=> ( ~ ( member_val @ C2 @ A2 )
=> ( member_val @ C2 @ B2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[357]) ).
thf(416,plain,
( ( ~ ( member_val @ phi_s @ ( sSA_CF1517915011eD_val @ alpha_n @ inEdges @ defs @ uses @ phis @ g2 ) ) )
= $true ),
inference(copy,[status(thm)],[386]) ).
thf(417,plain,
( ( ord_less_eq_set_val
= ( ^ [SX0: set_val,SX1: set_val] :
! [SX2: val] :
( ~ ( member_val @ SX2 @ SX0 )
| ( member_val @ SX2 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[408]) ).
thf(418,plain,
( ( ! [SX0: val,SX1: set_val,SX2: set_val] :
( ~ ( ~ ~ ( member_val @ SX0 @ SX1 )
| ( member_val @ SX0 @ SX2 ) )
| ( member_val @ SX0 @ ( sup_sup_set_val @ SX2 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[406]) ).
thf(419,plain,
( ( ! [SX0: set_val,SX1: set_val,SX2: val] :
( ~ ( ord_less_eq_set_val @ SX0 @ SX1 )
| ~ ( member_val @ SX2 @ SX0 )
| ( member_val @ SX2 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[410]) ).
thf(420,plain,
( ( ! [SX0: val,SX1: g,SX2: node] :
( ~ ( member_val @ SX0 @ ( uses @ SX1 @ SX2 ) )
| ( member_val @ SX0 @ ( sSA_CF655860150de_val @ alpha_n @ uses @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[393]) ).
thf(421,plain,
( ( ! [SX0: set_val,SX1: set_val,SX2: val > $o] :
( ( ! [SX3: val] :
( ~ ( member_val @ SX3 @ ( sup_sup_set_val @ SX0 @ SX1 ) )
| ( SX2 @ SX3 ) ) )
= ( ~ ( ~ ! [SX3: val] :
( ~ ( member_val @ SX3 @ SX0 )
| ( SX2 @ SX3 ) )
| ~ ! [SX3: val] :
( ~ ( member_val @ SX3 @ SX1 )
| ( SX2 @ SX3 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[411]) ).
thf(422,plain,
( ( ! [SX0: val,SX1: g,SX2: node] :
( ~ ( member_val @ SX0 @ ( uses @ SX1 @ SX2 ) )
| ( member_val @ SX0 @ ( sSA_CF178745443eD_val @ alpha_n @ inEdges @ uses @ phis @ SX1 @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[397]) ).
thf(423,plain,
( ( ! [SX0: set_val,SX1: set_val,SX2: val] :
( ~ ( ord_less_eq_set_val @ SX0 @ SX1 )
| ~ ( member_val @ SX2 @ SX0 )
| ( member_val @ SX2 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[409]) ).
thf(424,plain,
( ( ! [SX0: g,SX1: val] :
( ~ ( sSA_CF1899243830eD_val @ alpha_n @ inEdges @ defs @ uses @ phis @ SX0 @ SX1 )
| ( member_val @ SX1 @ ( sSA_CF1517915011eD_val @ alpha_n @ inEdges @ defs @ uses @ phis @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[394]) ).
thf(425,plain,
( ( ! [SX0: val,SX1: set_val,SX2: set_val] :
( ~ ( member_val @ SX0 @ SX1 )
| ( member_val @ SX0 @ ( sup_sup_set_val @ SX2 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[413]) ).
thf(426,plain,
( ( ! [SX0: set_val,SX1: set_val,SX2: val > $o] :
( ( ~ ! [SX3: val] :
~ ~ ( ~ ( member_val @ SX3 @ ( sup_sup_set_val @ SX0 @ SX1 ) )
| ~ ( SX2 @ SX3 ) ) )
= ( ~ ! [SX3: val] :
~ ~ ( ~ ( member_val @ SX3 @ SX0 )
| ~ ( SX2 @ SX3 ) )
| ~ ! [SX3: val] :
~ ~ ( ~ ( member_val @ SX3 @ SX1 )
| ~ ( SX2 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[412]) ).
thf(427,plain,
( ( ! [SX0: val,SX1: set_val,SX2: set_val] :
( ~ ( member_val @ SX0 @ SX1 )
| ( member_val @ SX0 @ ( sup_sup_set_val @ SX1 @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[414]) ).
thf(428,plain,
( ( ! [SX0: val,SX1: g,SX2: node] :
( ~ ( member_val @ SX0 @ ( defs @ SX1 @ SX2 ) )
| ( member_val @ SX0 @ ( sSA_CF139593942de_val @ defs @ phis @ SX1 @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[400]) ).
thf(429,plain,
( ( phi != phi_s )
= $true ),
inference(unfold_def,[status(thm)],[388]) ).
thf(430,plain,
( ( ! [SX0: val,SX1: set_val,SX2: set_val] :
( ~ ( member_val @ SX0 @ ( sup_sup_set_val @ SX1 @ SX2 ) )
| ~ ~ ( member_val @ SX0 @ SX1 )
| ( member_val @ SX0 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[415]) ).
thf(431,plain,
( ( ord_less_eq_set_val
= ( ^ [SX0: set_val,SX1: set_val] :
! [SX2: val] :
( ~ ( member_val @ SX2 @ SX0 )
| ( member_val @ SX2 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[407]) ).
thf(432,plain,
( ( phi_s != s )
= $true ),
inference(unfold_def,[status(thm)],[387]) ).
thf(433,plain,
( ( ! [SX0: g,SX1: val] :
( ~ ( sSA_CF794421325de_val @ alpha_n @ defs @ uses @ phis @ SX0 @ SX1 )
| ( member_val @ SX1 @ ( sSA_CF1517915011eD_val @ alpha_n @ inEdges @ defs @ uses @ phis @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[395]) ).
thf(434,plain,
( ( ! [SX0: set_val,SX1: set_val] :
( ~ ! [SX2: val] :
( ~ ( member_val @ SX2 @ SX0 )
| ( member_val @ SX2 @ SX1 ) )
| ( ord_less_eq_set_val @ SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[404]) ).
thf(435,plain,
( ( ! [SX0: g,SX1: val,SX2: val] :
( ~ ( sSA_CF1252180629de_val @ alpha_n @ defs @ phis @ SX0 @ SX1 @ SX2 )
| ( member_val @ SX2 @ ( sSA_CF1517915011eD_val @ alpha_n @ inEdges @ defs @ uses @ phis @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[392]) ).
thf(436,plain,
( ( ! [Phi: val] :
~ ( sSA_CF1252180629de_val @ alpha_n @ defs @ phis @ g2 @ Phi @ phi_s ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[391]) ).
thf(437,plain,
! [SV1: g] :
( ( finite_finite_val @ ( sSA_CF1517915011eD_val @ alpha_n @ inEdges @ defs @ uses @ phis @ SV1 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[396]) ).
thf(438,plain,
! [SV2: g] :
( ( ! [SY68: node] : ( finite_finite_val @ ( defs @ SV2 @ SY68 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[398]) ).
thf(439,plain,
! [SV3: g] :
( ( ! [SY69: node] : ( finite_finite_val @ ( uses @ SV3 @ SY69 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[399]) ).
thf(440,plain,
! [SV4: val] :
( ( ! [SY70: val > $o] :
( ( member_val @ SV4 @ ( collect_val @ SY70 ) )
= ( SY70 @ SV4 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[401]) ).
thf(441,plain,
! [SV5: set_val] :
( ( ( collect_val
@ ^ [SY71: val] : ( member_val @ SY71 @ SV5 ) )
= SV5 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[402]) ).
thf(442,plain,
( ( ! [SV6: g > list_node] :
( ( sSA_CF1517915011eD_val @ SV6 )
= ( sSA_CF1517915011eD_val @ SV6 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[403]) ).
thf(443,plain,
( ( sSA_CF1517915011eD_val = sSA_CF1517915011eD_val )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[403]) ).
thf(444,plain,
! [SV7: val] :
( ( ! [SY72: set_val,SY73: set_val] :
( ( member_val @ SV7 @ ( sup_sup_set_val @ SY72 @ SY73 ) )
= ( ( member_val @ SV7 @ SY72 )
| ( member_val @ SV7 @ SY73 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[405]) ).
thf(445,plain,
( ( member_val @ phi_s @ ( sSA_CF1517915011eD_val @ alpha_n @ inEdges @ defs @ uses @ phis @ g2 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[416]) ).
thf(446,plain,
( ( ! [SV8: set_val] :
( ( ord_less_eq_set_val @ SV8 )
= ( ^ [SY74: set_val] :
! [SY75: val] :
( ~ ( member_val @ SY75 @ SV8 )
| ( member_val @ SY75 @ SY74 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[417]) ).
thf(447,plain,
( ( ord_less_eq_set_val
= ( ^ [SX0: set_val,SX1: set_val] :
! [SX2: val] :
( ~ ( member_val @ SX2 @ SX0 )
| ( member_val @ SX2 @ SX1 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[417]) ).
thf(448,plain,
! [SV9: val] :
( ( ! [SY76: set_val,SY77: set_val] :
( ~ ( ~ ~ ( member_val @ SV9 @ SY76 )
| ( member_val @ SV9 @ SY77 ) )
| ( member_val @ SV9 @ ( sup_sup_set_val @ SY77 @ SY76 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[418]) ).
thf(449,plain,
! [SV10: set_val] :
( ( ! [SY78: set_val,SY79: val] :
( ~ ( ord_less_eq_set_val @ SV10 @ SY78 )
| ~ ( member_val @ SY79 @ SV10 )
| ( member_val @ SY79 @ SY78 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[419]) ).
thf(450,plain,
! [SV11: val] :
( ( ! [SY80: g,SY81: node] :
( ~ ( member_val @ SV11 @ ( uses @ SY80 @ SY81 ) )
| ( member_val @ SV11 @ ( sSA_CF655860150de_val @ alpha_n @ uses @ SY80 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[420]) ).
thf(451,plain,
! [SV12: set_val] :
( ( ! [SY82: set_val,SY83: val > $o] :
( ( ! [SY84: val] :
( ~ ( member_val @ SY84 @ ( sup_sup_set_val @ SV12 @ SY82 ) )
| ( SY83 @ SY84 ) ) )
= ( ~ ( ~ ! [SY85: val] :
( ~ ( member_val @ SY85 @ SV12 )
| ( SY83 @ SY85 ) )
| ~ ! [SX3: val] :
( ~ ( member_val @ SX3 @ SY82 )
| ( SY83 @ SX3 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[421]) ).
thf(452,plain,
! [SV13: val] :
( ( ! [SY87: g,SY88: node] :
( ~ ( member_val @ SV13 @ ( uses @ SY87 @ SY88 ) )
| ( member_val @ SV13 @ ( sSA_CF178745443eD_val @ alpha_n @ inEdges @ uses @ phis @ SY87 @ SY88 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[422]) ).
thf(453,plain,
! [SV14: set_val] :
( ( ! [SY89: set_val,SY90: val] :
( ~ ( ord_less_eq_set_val @ SV14 @ SY89 )
| ~ ( member_val @ SY90 @ SV14 )
| ( member_val @ SY90 @ SY89 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[423]) ).
thf(454,plain,
! [SV15: g] :
( ( ! [SY91: val] :
( ~ ( sSA_CF1899243830eD_val @ alpha_n @ inEdges @ defs @ uses @ phis @ SV15 @ SY91 )
| ( member_val @ SY91 @ ( sSA_CF1517915011eD_val @ alpha_n @ inEdges @ defs @ uses @ phis @ SV15 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[424]) ).
thf(455,plain,
! [SV16: val] :
( ( ! [SY92: set_val,SY93: set_val] :
( ~ ( member_val @ SV16 @ SY92 )
| ( member_val @ SV16 @ ( sup_sup_set_val @ SY93 @ SY92 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[425]) ).
thf(456,plain,
! [SV17: set_val] :
( ( ! [SY94: set_val,SY95: val > $o] :
( ( ~ ! [SY96: val] :
~ ~ ( ~ ( member_val @ SY96 @ ( sup_sup_set_val @ SV17 @ SY94 ) )
| ~ ( SY95 @ SY96 ) ) )
= ( ~ ! [SY97: val] :
~ ~ ( ~ ( member_val @ SY97 @ SV17 )
| ~ ( SY95 @ SY97 ) )
| ~ ! [SX3: val] :
~ ~ ( ~ ( member_val @ SX3 @ SY94 )
| ~ ( SY95 @ SX3 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[426]) ).
thf(457,plain,
! [SV18: val] :
( ( ! [SY99: set_val,SY100: set_val] :
( ~ ( member_val @ SV18 @ SY99 )
| ( member_val @ SV18 @ ( sup_sup_set_val @ SY99 @ SY100 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[427]) ).
thf(458,plain,
! [SV19: val] :
( ( ! [SY101: g,SY102: node] :
( ~ ( member_val @ SV19 @ ( defs @ SY101 @ SY102 ) )
| ( member_val @ SV19 @ ( sSA_CF139593942de_val @ defs @ phis @ SY101 @ SY102 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[428]) ).
thf(459,plain,
( ( phi = phi_s )
= $false ),
inference(extcnf_not_pos,[status(thm)],[429]) ).
thf(460,plain,
! [SV20: val] :
( ( ! [SY103: set_val,SY104: set_val] :
( ~ ( member_val @ SV20 @ ( sup_sup_set_val @ SY103 @ SY104 ) )
| ~ ~ ( member_val @ SV20 @ SY103 )
| ( member_val @ SV20 @ SY104 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[430]) ).
thf(461,plain,
( ( ! [SV21: set_val] :
( ( ord_less_eq_set_val @ SV21 )
= ( ^ [SY105: set_val] :
! [SY106: val] :
( ~ ( member_val @ SY106 @ SV21 )
| ( member_val @ SY106 @ SY105 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[431]) ).
thf(462,plain,
( ( ord_less_eq_set_val
= ( ^ [SX0: set_val,SX1: set_val] :
! [SX2: val] :
( ~ ( member_val @ SX2 @ SX0 )
| ( member_val @ SX2 @ SX1 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[431]) ).
thf(463,plain,
( ( phi_s = s )
= $false ),
inference(extcnf_not_pos,[status(thm)],[432]) ).
thf(464,plain,
! [SV22: g] :
( ( ! [SY107: val] :
( ~ ( sSA_CF794421325de_val @ alpha_n @ defs @ uses @ phis @ SV22 @ SY107 )
| ( member_val @ SY107 @ ( sSA_CF1517915011eD_val @ alpha_n @ inEdges @ defs @ uses @ phis @ SV22 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[433]) ).
thf(465,plain,
! [SV23: set_val] :
( ( ! [SY108: set_val] :
( ~ ! [SY109: val] :
( ~ ( member_val @ SY109 @ SV23 )
| ( member_val @ SY109 @ SY108 ) )
| ( ord_less_eq_set_val @ SV23 @ SY108 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[434]) ).
thf(466,plain,
! [SV24: g] :
( ( ! [SY110: val,SY111: val] :
( ~ ( sSA_CF1252180629de_val @ alpha_n @ defs @ phis @ SV24 @ SY110 @ SY111 )
| ( member_val @ SY111 @ ( sSA_CF1517915011eD_val @ alpha_n @ inEdges @ defs @ uses @ phis @ SV24 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[435]) ).
thf(467,plain,
( ( ~ ( sSA_CF1252180629de_val @ alpha_n @ defs @ phis @ g2 @ sK1_Phi @ phi_s ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[436]) ).
thf(468,plain,
! [SV25: node,SV2: g] :
( ( finite_finite_val @ ( defs @ SV2 @ SV25 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[438]) ).
thf(469,plain,
! [SV26: node,SV3: g] :
( ( finite_finite_val @ ( uses @ SV3 @ SV26 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[439]) ).
thf(470,plain,
! [SV27: val > $o,SV4: val] :
( ( ( member_val @ SV4 @ ( collect_val @ SV27 ) )
= ( SV27 @ SV4 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[440]) ).
thf(471,plain,
! [SV28: g > list_node] :
( ( ( sSA_CF1517915011eD_val @ SV28 )
= ( sSA_CF1517915011eD_val @ SV28 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[442]) ).
thf(472,plain,
! [SV29: set_val,SV7: val] :
( ( ! [SY112: set_val] :
( ( member_val @ SV7 @ ( sup_sup_set_val @ SV29 @ SY112 ) )
= ( ( member_val @ SV7 @ SV29 )
| ( member_val @ SV7 @ SY112 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[444]) ).
thf(473,plain,
! [SV30: set_val] :
( ( ( ord_less_eq_set_val @ SV30 )
= ( ^ [SY113: set_val] :
! [SY114: val] :
( ~ ( member_val @ SY114 @ SV30 )
| ( member_val @ SY114 @ SY113 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[446]) ).
thf(474,plain,
! [SV31: set_val,SV9: val] :
( ( ! [SY115: set_val] :
( ~ ( ~ ~ ( member_val @ SV9 @ SV31 )
| ( member_val @ SV9 @ SY115 ) )
| ( member_val @ SV9 @ ( sup_sup_set_val @ SY115 @ SV31 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[448]) ).
thf(475,plain,
! [SV32: set_val,SV10: set_val] :
( ( ! [SY116: val] :
( ~ ( ord_less_eq_set_val @ SV10 @ SV32 )
| ~ ( member_val @ SY116 @ SV10 )
| ( member_val @ SY116 @ SV32 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[449]) ).
thf(476,plain,
! [SV33: g,SV11: val] :
( ( ! [SY117: node] :
( ~ ( member_val @ SV11 @ ( uses @ SV33 @ SY117 ) )
| ( member_val @ SV11 @ ( sSA_CF655860150de_val @ alpha_n @ uses @ SV33 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[450]) ).
thf(477,plain,
! [SV34: set_val,SV12: set_val] :
( ( ! [SY118: val > $o] :
( ( ! [SY119: val] :
( ~ ( member_val @ SY119 @ ( sup_sup_set_val @ SV12 @ SV34 ) )
| ( SY118 @ SY119 ) ) )
= ( ~ ( ~ ! [SY85: val] :
( ~ ( member_val @ SY85 @ SV12 )
| ( SY118 @ SY85 ) )
| ~ ! [SY121: val] :
( ~ ( member_val @ SY121 @ SV34 )
| ( SY118 @ SY121 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[451]) ).
thf(478,plain,
! [SV35: g,SV13: val] :
( ( ! [SY122: node] :
( ~ ( member_val @ SV13 @ ( uses @ SV35 @ SY122 ) )
| ( member_val @ SV13 @ ( sSA_CF178745443eD_val @ alpha_n @ inEdges @ uses @ phis @ SV35 @ SY122 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[452]) ).
thf(479,plain,
! [SV36: set_val,SV14: set_val] :
( ( ! [SY123: val] :
( ~ ( ord_less_eq_set_val @ SV14 @ SV36 )
| ~ ( member_val @ SY123 @ SV14 )
| ( member_val @ SY123 @ SV36 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[453]) ).
thf(480,plain,
! [SV37: val,SV15: g] :
( ( ~ ( sSA_CF1899243830eD_val @ alpha_n @ inEdges @ defs @ uses @ phis @ SV15 @ SV37 )
| ( member_val @ SV37 @ ( sSA_CF1517915011eD_val @ alpha_n @ inEdges @ defs @ uses @ phis @ SV15 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[454]) ).
thf(481,plain,
! [SV38: set_val,SV16: val] :
( ( ! [SY124: set_val] :
( ~ ( member_val @ SV16 @ SV38 )
| ( member_val @ SV16 @ ( sup_sup_set_val @ SY124 @ SV38 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[455]) ).
thf(482,plain,
! [SV39: set_val,SV17: set_val] :
( ( ! [SY125: val > $o] :
( ( ~ ! [SY126: val] :
~ ~ ( ~ ( member_val @ SY126 @ ( sup_sup_set_val @ SV17 @ SV39 ) )
| ~ ( SY125 @ SY126 ) ) )
= ( ~ ! [SY97: val] :
~ ~ ( ~ ( member_val @ SY97 @ SV17 )
| ~ ( SY125 @ SY97 ) )
| ~ ! [SY128: val] :
~ ~ ( ~ ( member_val @ SY128 @ SV39 )
| ~ ( SY125 @ SY128 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[456]) ).
thf(483,plain,
! [SV40: set_val,SV18: val] :
( ( ! [SY129: set_val] :
( ~ ( member_val @ SV18 @ SV40 )
| ( member_val @ SV18 @ ( sup_sup_set_val @ SV40 @ SY129 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[457]) ).
thf(484,plain,
! [SV41: g,SV19: val] :
( ( ! [SY130: node] :
( ~ ( member_val @ SV19 @ ( defs @ SV41 @ SY130 ) )
| ( member_val @ SV19 @ ( sSA_CF139593942de_val @ defs @ phis @ SV41 @ SY130 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[458]) ).
thf(485,plain,
! [SV42: set_val,SV20: val] :
( ( ! [SY131: set_val] :
( ~ ( member_val @ SV20 @ ( sup_sup_set_val @ SV42 @ SY131 ) )
| ~ ~ ( member_val @ SV20 @ SV42 )
| ( member_val @ SV20 @ SY131 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[460]) ).
thf(486,plain,
! [SV43: set_val] :
( ( ( ord_less_eq_set_val @ SV43 )
= ( ^ [SY132: set_val] :
! [SY133: val] :
( ~ ( member_val @ SY133 @ SV43 )
| ( member_val @ SY133 @ SY132 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[461]) ).
thf(487,plain,
! [SV44: val,SV22: g] :
( ( ~ ( sSA_CF794421325de_val @ alpha_n @ defs @ uses @ phis @ SV22 @ SV44 )
| ( member_val @ SV44 @ ( sSA_CF1517915011eD_val @ alpha_n @ inEdges @ defs @ uses @ phis @ SV22 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[464]) ).
thf(488,plain,
! [SV45: set_val,SV23: set_val] :
( ( ~ ! [SY134: val] :
( ~ ( member_val @ SY134 @ SV23 )
| ( member_val @ SY134 @ SV45 ) )
| ( ord_less_eq_set_val @ SV23 @ SV45 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[465]) ).
thf(489,plain,
! [SV46: val,SV24: g] :
( ( ! [SY135: val] :
( ~ ( sSA_CF1252180629de_val @ alpha_n @ defs @ phis @ SV24 @ SV46 @ SY135 )
| ( member_val @ SY135 @ ( sSA_CF1517915011eD_val @ alpha_n @ inEdges @ defs @ uses @ phis @ SV24 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[466]) ).
thf(490,plain,
( ( sSA_CF1252180629de_val @ alpha_n @ defs @ phis @ g2 @ sK1_Phi @ phi_s )
= $true ),
inference(extcnf_not_neg,[status(thm)],[467]) ).
thf(491,plain,
! [SV27: val > $o,SV4: val] :
( ( ~ ( ( member_val @ SV4 @ ( collect_val @ SV27 ) )
| ( SV27 @ SV4 ) )
| ~ ( ~ ( member_val @ SV4 @ ( collect_val @ SV27 ) )
| ~ ( SV27 @ SV4 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[470]) ).
thf(492,plain,
! [SV27: val > $o,SV4: val] :
( ( ( member_val @ SV4 @ ( collect_val @ SV27 ) )
= ( SV27 @ SV4 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[470]) ).
thf(493,plain,
! [SV28: g > list_node] :
( ( ! [SV47: g > node > list_P561207620_edgeD] :
( ( sSA_CF1517915011eD_val @ SV28 @ SV47 )
= ( sSA_CF1517915011eD_val @ SV28 @ SV47 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[471]) ).
thf(494,plain,
! [SV28: g > list_node] :
( ( ( sSA_CF1517915011eD_val @ SV28 )
= ( sSA_CF1517915011eD_val @ SV28 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[471]) ).
thf(495,plain,
! [SV48: set_val,SV29: set_val,SV7: val] :
( ( ( member_val @ SV7 @ ( sup_sup_set_val @ SV29 @ SV48 ) )
= ( ( member_val @ SV7 @ SV29 )
| ( member_val @ SV7 @ SV48 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[472]) ).
thf(496,plain,
! [SV30: set_val] :
( ( ! [SV49: set_val] :
( ( ord_less_eq_set_val @ SV30 @ SV49 )
= ( ! [SY136: val] :
( ~ ( member_val @ SY136 @ SV30 )
| ( member_val @ SY136 @ SV49 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[473]) ).
thf(497,plain,
! [SV30: set_val] :
( ( ( ord_less_eq_set_val @ SV30 )
= ( ^ [SY113: set_val] :
! [SY114: val] :
( ~ ( member_val @ SY114 @ SV30 )
| ( member_val @ SY114 @ SY113 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[473]) ).
thf(498,plain,
! [SV50: set_val,SV31: set_val,SV9: val] :
( ( ~ ( ~ ~ ( member_val @ SV9 @ SV31 )
| ( member_val @ SV9 @ SV50 ) )
| ( member_val @ SV9 @ ( sup_sup_set_val @ SV50 @ SV31 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[474]) ).
thf(499,plain,
! [SV51: val,SV32: set_val,SV10: set_val] :
( ( ~ ( ord_less_eq_set_val @ SV10 @ SV32 )
| ~ ( member_val @ SV51 @ SV10 )
| ( member_val @ SV51 @ SV32 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[475]) ).
thf(500,plain,
! [SV52: node,SV33: g,SV11: val] :
( ( ~ ( member_val @ SV11 @ ( uses @ SV33 @ SV52 ) )
| ( member_val @ SV11 @ ( sSA_CF655860150de_val @ alpha_n @ uses @ SV33 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[476]) ).
thf(501,plain,
! [SV53: val > $o,SV34: set_val,SV12: set_val] :
( ( ( ! [SY137: val] :
( ~ ( member_val @ SY137 @ ( sup_sup_set_val @ SV12 @ SV34 ) )
| ( SV53 @ SY137 ) ) )
= ( ~ ( ~ ! [SY138: val] :
( ~ ( member_val @ SY138 @ SV12 )
| ( SV53 @ SY138 ) )
| ~ ! [SY139: val] :
( ~ ( member_val @ SY139 @ SV34 )
| ( SV53 @ SY139 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[477]) ).
thf(502,plain,
! [SV54: node,SV35: g,SV13: val] :
( ( ~ ( member_val @ SV13 @ ( uses @ SV35 @ SV54 ) )
| ( member_val @ SV13 @ ( sSA_CF178745443eD_val @ alpha_n @ inEdges @ uses @ phis @ SV35 @ SV54 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[478]) ).
thf(503,plain,
! [SV55: val,SV36: set_val,SV14: set_val] :
( ( ~ ( ord_less_eq_set_val @ SV14 @ SV36 )
| ~ ( member_val @ SV55 @ SV14 )
| ( member_val @ SV55 @ SV36 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[479]) ).
thf(504,plain,
! [SV37: val,SV15: g] :
( ( ( ~ ( sSA_CF1899243830eD_val @ alpha_n @ inEdges @ defs @ uses @ phis @ SV15 @ SV37 ) )
= $true )
| ( ( member_val @ SV37 @ ( sSA_CF1517915011eD_val @ alpha_n @ inEdges @ defs @ uses @ phis @ SV15 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[480]) ).
thf(505,plain,
! [SV56: set_val,SV38: set_val,SV16: val] :
( ( ~ ( member_val @ SV16 @ SV38 )
| ( member_val @ SV16 @ ( sup_sup_set_val @ SV56 @ SV38 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[481]) ).
thf(506,plain,
! [SV57: val > $o,SV39: set_val,SV17: set_val] :
( ( ( ~ ! [SY140: val] :
~ ~ ( ~ ( member_val @ SY140 @ ( sup_sup_set_val @ SV17 @ SV39 ) )
| ~ ( SV57 @ SY140 ) ) )
= ( ~ ! [SY141: val] :
~ ~ ( ~ ( member_val @ SY141 @ SV17 )
| ~ ( SV57 @ SY141 ) )
| ~ ! [SY142: val] :
~ ~ ( ~ ( member_val @ SY142 @ SV39 )
| ~ ( SV57 @ SY142 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[482]) ).
thf(507,plain,
! [SV58: set_val,SV40: set_val,SV18: val] :
( ( ~ ( member_val @ SV18 @ SV40 )
| ( member_val @ SV18 @ ( sup_sup_set_val @ SV40 @ SV58 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[483]) ).
thf(508,plain,
! [SV59: node,SV41: g,SV19: val] :
( ( ~ ( member_val @ SV19 @ ( defs @ SV41 @ SV59 ) )
| ( member_val @ SV19 @ ( sSA_CF139593942de_val @ defs @ phis @ SV41 @ SV59 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[484]) ).
thf(509,plain,
! [SV60: set_val,SV42: set_val,SV20: val] :
( ( ~ ( member_val @ SV20 @ ( sup_sup_set_val @ SV42 @ SV60 ) )
| ~ ~ ( member_val @ SV20 @ SV42 )
| ( member_val @ SV20 @ SV60 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[485]) ).
thf(510,plain,
! [SV43: set_val] :
( ( ! [SV61: set_val] :
( ( ord_less_eq_set_val @ SV43 @ SV61 )
= ( ! [SY143: val] :
( ~ ( member_val @ SY143 @ SV43 )
| ( member_val @ SY143 @ SV61 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[486]) ).
thf(511,plain,
! [SV43: set_val] :
( ( ( ord_less_eq_set_val @ SV43 )
= ( ^ [SY132: set_val] :
! [SY133: val] :
( ~ ( member_val @ SY133 @ SV43 )
| ( member_val @ SY133 @ SY132 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[486]) ).
thf(512,plain,
! [SV44: val,SV22: g] :
( ( ( ~ ( sSA_CF794421325de_val @ alpha_n @ defs @ uses @ phis @ SV22 @ SV44 ) )
= $true )
| ( ( member_val @ SV44 @ ( sSA_CF1517915011eD_val @ alpha_n @ inEdges @ defs @ uses @ phis @ SV22 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[487]) ).
thf(513,plain,
! [SV45: set_val,SV23: set_val] :
( ( ( ~ ! [SY134: val] :
( ~ ( member_val @ SY134 @ SV23 )
| ( member_val @ SY134 @ SV45 ) ) )
= $true )
| ( ( ord_less_eq_set_val @ SV23 @ SV45 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[488]) ).
thf(514,plain,
! [SV62: val,SV46: val,SV24: g] :
( ( ~ ( sSA_CF1252180629de_val @ alpha_n @ defs @ phis @ SV24 @ SV46 @ SV62 )
| ( member_val @ SV62 @ ( sSA_CF1517915011eD_val @ alpha_n @ inEdges @ defs @ uses @ phis @ SV24 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[489]) ).
thf(515,plain,
! [SV27: val > $o,SV4: val] :
( ( ( ~ ( ( member_val @ SV4 @ ( collect_val @ SV27 ) )
| ( SV27 @ SV4 ) ) )
= $true )
| ( ( ~ ( ~ ( member_val @ SV4 @ ( collect_val @ SV27 ) )
| ~ ( SV27 @ SV4 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[491]) ).
thf(516,plain,
! [SV63: g > node > list_P561207620_edgeD,SV28: g > list_node] :
( ( ( sSA_CF1517915011eD_val @ SV28 @ SV63 )
= ( sSA_CF1517915011eD_val @ SV28 @ SV63 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[493]) ).
thf(517,plain,
! [SV48: set_val,SV29: set_val,SV7: val] :
( ( ~ ( ( member_val @ SV7 @ ( sup_sup_set_val @ SV29 @ SV48 ) )
| ( member_val @ SV7 @ SV29 )
| ( member_val @ SV7 @ SV48 ) )
| ~ ( ~ ( member_val @ SV7 @ ( sup_sup_set_val @ SV29 @ SV48 ) )
| ~ ( ( member_val @ SV7 @ SV29 )
| ( member_val @ SV7 @ SV48 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[495]) ).
thf(518,plain,
! [SV48: set_val,SV29: set_val,SV7: val] :
( ( ( member_val @ SV7 @ ( sup_sup_set_val @ SV29 @ SV48 ) )
= ( ( member_val @ SV7 @ SV29 )
| ( member_val @ SV7 @ SV48 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[495]) ).
thf(519,plain,
! [SV64: set_val,SV30: set_val] :
( ( ( ord_less_eq_set_val @ SV30 @ SV64 )
= ( ! [SY144: val] :
( ~ ( member_val @ SY144 @ SV30 )
| ( member_val @ SY144 @ SV64 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[496]) ).
thf(520,plain,
! [SV50: set_val,SV31: set_val,SV9: val] :
( ( ( ~ ( ~ ~ ( member_val @ SV9 @ SV31 )
| ( member_val @ SV9 @ SV50 ) ) )
= $true )
| ( ( member_val @ SV9 @ ( sup_sup_set_val @ SV50 @ SV31 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[498]) ).
thf(521,plain,
! [SV51: val,SV32: set_val,SV10: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV10 @ SV32 ) )
= $true )
| ( ( ~ ( member_val @ SV51 @ SV10 )
| ( member_val @ SV51 @ SV32 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[499]) ).
thf(522,plain,
! [SV52: node,SV33: g,SV11: val] :
( ( ( ~ ( member_val @ SV11 @ ( uses @ SV33 @ SV52 ) ) )
= $true )
| ( ( member_val @ SV11 @ ( sSA_CF655860150de_val @ alpha_n @ uses @ SV33 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[500]) ).
thf(523,plain,
! [SV53: val > $o,SV34: set_val,SV12: set_val] :
( ( ~ ( ! [SY137: val] :
( ~ ( member_val @ SY137 @ ( sup_sup_set_val @ SV12 @ SV34 ) )
| ( SV53 @ SY137 ) )
| ~ ( ~ ! [SY138: val] :
( ~ ( member_val @ SY138 @ SV12 )
| ( SV53 @ SY138 ) )
| ~ ! [SY139: val] :
( ~ ( member_val @ SY139 @ SV34 )
| ( SV53 @ SY139 ) ) ) )
| ~ ( ~ ! [SY137: val] :
( ~ ( member_val @ SY137 @ ( sup_sup_set_val @ SV12 @ SV34 ) )
| ( SV53 @ SY137 ) )
| ~ ~ ( ~ ! [SY138: val] :
( ~ ( member_val @ SY138 @ SV12 )
| ( SV53 @ SY138 ) )
| ~ ! [SY139: val] :
( ~ ( member_val @ SY139 @ SV34 )
| ( SV53 @ SY139 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[501]) ).
thf(524,plain,
! [SV53: val > $o,SV34: set_val,SV12: set_val] :
( ( ( ! [SY137: val] :
( ~ ( member_val @ SY137 @ ( sup_sup_set_val @ SV12 @ SV34 ) )
| ( SV53 @ SY137 ) ) )
= ( ~ ( ~ ! [SY138: val] :
( ~ ( member_val @ SY138 @ SV12 )
| ( SV53 @ SY138 ) )
| ~ ! [SY139: val] :
( ~ ( member_val @ SY139 @ SV34 )
| ( SV53 @ SY139 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[501]) ).
thf(525,plain,
! [SV54: node,SV35: g,SV13: val] :
( ( ( ~ ( member_val @ SV13 @ ( uses @ SV35 @ SV54 ) ) )
= $true )
| ( ( member_val @ SV13 @ ( sSA_CF178745443eD_val @ alpha_n @ inEdges @ uses @ phis @ SV35 @ SV54 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[502]) ).
thf(526,plain,
! [SV55: val,SV36: set_val,SV14: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV14 @ SV36 ) )
= $true )
| ( ( ~ ( member_val @ SV55 @ SV14 )
| ( member_val @ SV55 @ SV36 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[503]) ).
thf(527,plain,
! [SV37: val,SV15: g] :
( ( ( sSA_CF1899243830eD_val @ alpha_n @ inEdges @ defs @ uses @ phis @ SV15 @ SV37 )
= $false )
| ( ( member_val @ SV37 @ ( sSA_CF1517915011eD_val @ alpha_n @ inEdges @ defs @ uses @ phis @ SV15 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[504]) ).
thf(528,plain,
! [SV56: set_val,SV38: set_val,SV16: val] :
( ( ( ~ ( member_val @ SV16 @ SV38 ) )
= $true )
| ( ( member_val @ SV16 @ ( sup_sup_set_val @ SV56 @ SV38 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[505]) ).
thf(529,plain,
! [SV57: val > $o,SV39: set_val,SV17: set_val] :
( ( ~ ( ~ ! [SY140: val] :
~ ~ ( ~ ( member_val @ SY140 @ ( sup_sup_set_val @ SV17 @ SV39 ) )
| ~ ( SV57 @ SY140 ) )
| ~ ! [SY141: val] :
~ ~ ( ~ ( member_val @ SY141 @ SV17 )
| ~ ( SV57 @ SY141 ) )
| ~ ! [SY142: val] :
~ ~ ( ~ ( member_val @ SY142 @ SV39 )
| ~ ( SV57 @ SY142 ) ) )
| ~ ( ~ ~ ! [SY140: val] :
~ ~ ( ~ ( member_val @ SY140 @ ( sup_sup_set_val @ SV17 @ SV39 ) )
| ~ ( SV57 @ SY140 ) )
| ~ ( ~ ! [SY141: val] :
~ ~ ( ~ ( member_val @ SY141 @ SV17 )
| ~ ( SV57 @ SY141 ) )
| ~ ! [SY142: val] :
~ ~ ( ~ ( member_val @ SY142 @ SV39 )
| ~ ( SV57 @ SY142 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[506]) ).
thf(530,plain,
! [SV57: val > $o,SV39: set_val,SV17: set_val] :
( ( ( ~ ! [SY140: val] :
~ ~ ( ~ ( member_val @ SY140 @ ( sup_sup_set_val @ SV17 @ SV39 ) )
| ~ ( SV57 @ SY140 ) ) )
= ( ~ ! [SY141: val] :
~ ~ ( ~ ( member_val @ SY141 @ SV17 )
| ~ ( SV57 @ SY141 ) )
| ~ ! [SY142: val] :
~ ~ ( ~ ( member_val @ SY142 @ SV39 )
| ~ ( SV57 @ SY142 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[506]) ).
thf(531,plain,
! [SV58: set_val,SV40: set_val,SV18: val] :
( ( ( ~ ( member_val @ SV18 @ SV40 ) )
= $true )
| ( ( member_val @ SV18 @ ( sup_sup_set_val @ SV40 @ SV58 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[507]) ).
thf(532,plain,
! [SV59: node,SV41: g,SV19: val] :
( ( ( ~ ( member_val @ SV19 @ ( defs @ SV41 @ SV59 ) ) )
= $true )
| ( ( member_val @ SV19 @ ( sSA_CF139593942de_val @ defs @ phis @ SV41 @ SV59 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[508]) ).
thf(533,plain,
! [SV60: set_val,SV42: set_val,SV20: val] :
( ( ( ~ ( member_val @ SV20 @ ( sup_sup_set_val @ SV42 @ SV60 ) ) )
= $true )
| ( ( ~ ~ ( member_val @ SV20 @ SV42 )
| ( member_val @ SV20 @ SV60 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[509]) ).
thf(534,plain,
! [SV65: set_val,SV43: set_val] :
( ( ( ord_less_eq_set_val @ SV43 @ SV65 )
= ( ! [SY145: val] :
( ~ ( member_val @ SY145 @ SV43 )
| ( member_val @ SY145 @ SV65 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[510]) ).
thf(535,plain,
! [SV44: val,SV22: g] :
( ( ( sSA_CF794421325de_val @ alpha_n @ defs @ uses @ phis @ SV22 @ SV44 )
= $false )
| ( ( member_val @ SV44 @ ( sSA_CF1517915011eD_val @ alpha_n @ inEdges @ defs @ uses @ phis @ SV22 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[512]) ).
thf(536,plain,
! [SV45: set_val,SV23: set_val] :
( ( ( ! [SY134: val] :
( ~ ( member_val @ SY134 @ SV23 )
| ( member_val @ SY134 @ SV45 ) ) )
= $false )
| ( ( ord_less_eq_set_val @ SV23 @ SV45 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[513]) ).
thf(537,plain,
! [SV62: val,SV46: val,SV24: g] :
( ( ( ~ ( sSA_CF1252180629de_val @ alpha_n @ defs @ phis @ SV24 @ SV46 @ SV62 ) )
= $true )
| ( ( member_val @ SV62 @ ( sSA_CF1517915011eD_val @ alpha_n @ inEdges @ defs @ uses @ phis @ SV24 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[514]) ).
thf(538,plain,
! [SV27: val > $o,SV4: val] :
( ( ( ( member_val @ SV4 @ ( collect_val @ SV27 ) )
| ( SV27 @ SV4 ) )
= $false )
| ( ( ~ ( ~ ( member_val @ SV4 @ ( collect_val @ SV27 ) )
| ~ ( SV27 @ SV4 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[515]) ).
thf(539,plain,
! [SV63: g > node > list_P561207620_edgeD,SV28: g > list_node] :
( ( ! [SV66: g > node > set_val] :
( ( sSA_CF1517915011eD_val @ SV28 @ SV63 @ SV66 )
= ( sSA_CF1517915011eD_val @ SV28 @ SV63 @ SV66 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[516]) ).
thf(540,plain,
! [SV63: g > node > list_P561207620_edgeD,SV28: g > list_node] :
( ( ( sSA_CF1517915011eD_val @ SV28 @ SV63 )
= ( sSA_CF1517915011eD_val @ SV28 @ SV63 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[516]) ).
thf(541,plain,
! [SV48: set_val,SV29: set_val,SV7: val] :
( ( ( ~ ( ( member_val @ SV7 @ ( sup_sup_set_val @ SV29 @ SV48 ) )
| ( member_val @ SV7 @ SV29 )
| ( member_val @ SV7 @ SV48 ) ) )
= $true )
| ( ( ~ ( ~ ( member_val @ SV7 @ ( sup_sup_set_val @ SV29 @ SV48 ) )
| ~ ( ( member_val @ SV7 @ SV29 )
| ( member_val @ SV7 @ SV48 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[517]) ).
thf(542,plain,
! [SV64: set_val,SV30: set_val] :
( ( ~ ( ( ord_less_eq_set_val @ SV30 @ SV64 )
| ! [SY144: val] :
( ~ ( member_val @ SY144 @ SV30 )
| ( member_val @ SY144 @ SV64 ) ) )
| ~ ( ~ ( ord_less_eq_set_val @ SV30 @ SV64 )
| ~ ! [SY144: val] :
( ~ ( member_val @ SY144 @ SV30 )
| ( member_val @ SY144 @ SV64 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[519]) ).
thf(543,plain,
! [SV64: set_val,SV30: set_val] :
( ( ( ord_less_eq_set_val @ SV30 @ SV64 )
= ( ! [SY144: val] :
( ~ ( member_val @ SY144 @ SV30 )
| ( member_val @ SY144 @ SV64 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[519]) ).
thf(544,plain,
! [SV50: set_val,SV31: set_val,SV9: val] :
( ( ( ~ ~ ( member_val @ SV9 @ SV31 )
| ( member_val @ SV9 @ SV50 ) )
= $false )
| ( ( member_val @ SV9 @ ( sup_sup_set_val @ SV50 @ SV31 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[520]) ).
thf(545,plain,
! [SV51: val,SV32: set_val,SV10: set_val] :
( ( ( ord_less_eq_set_val @ SV10 @ SV32 )
= $false )
| ( ( ~ ( member_val @ SV51 @ SV10 )
| ( member_val @ SV51 @ SV32 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[521]) ).
thf(546,plain,
! [SV52: node,SV33: g,SV11: val] :
( ( ( member_val @ SV11 @ ( uses @ SV33 @ SV52 ) )
= $false )
| ( ( member_val @ SV11 @ ( sSA_CF655860150de_val @ alpha_n @ uses @ SV33 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[522]) ).
thf(547,plain,
! [SV53: val > $o,SV34: set_val,SV12: set_val] :
( ( ( ~ ( ! [SY137: val] :
( ~ ( member_val @ SY137 @ ( sup_sup_set_val @ SV12 @ SV34 ) )
| ( SV53 @ SY137 ) )
| ~ ( ~ ! [SY138: val] :
( ~ ( member_val @ SY138 @ SV12 )
| ( SV53 @ SY138 ) )
| ~ ! [SY139: val] :
( ~ ( member_val @ SY139 @ SV34 )
| ( SV53 @ SY139 ) ) ) ) )
= $true )
| ( ( ~ ( ~ ! [SY137: val] :
( ~ ( member_val @ SY137 @ ( sup_sup_set_val @ SV12 @ SV34 ) )
| ( SV53 @ SY137 ) )
| ~ ~ ( ~ ! [SY138: val] :
( ~ ( member_val @ SY138 @ SV12 )
| ( SV53 @ SY138 ) )
| ~ ! [SY139: val] :
( ~ ( member_val @ SY139 @ SV34 )
| ( SV53 @ SY139 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[523]) ).
thf(548,plain,
! [SV54: node,SV35: g,SV13: val] :
( ( ( member_val @ SV13 @ ( uses @ SV35 @ SV54 ) )
= $false )
| ( ( member_val @ SV13 @ ( sSA_CF178745443eD_val @ alpha_n @ inEdges @ uses @ phis @ SV35 @ SV54 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[525]) ).
thf(549,plain,
! [SV55: val,SV36: set_val,SV14: set_val] :
( ( ( ord_less_eq_set_val @ SV14 @ SV36 )
= $false )
| ( ( ~ ( member_val @ SV55 @ SV14 )
| ( member_val @ SV55 @ SV36 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[526]) ).
thf(550,plain,
! [SV56: set_val,SV38: set_val,SV16: val] :
( ( ( member_val @ SV16 @ SV38 )
= $false )
| ( ( member_val @ SV16 @ ( sup_sup_set_val @ SV56 @ SV38 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[528]) ).
thf(551,plain,
! [SV57: val > $o,SV39: set_val,SV17: set_val] :
( ( ( ~ ( ~ ! [SY140: val] :
~ ~ ( ~ ( member_val @ SY140 @ ( sup_sup_set_val @ SV17 @ SV39 ) )
| ~ ( SV57 @ SY140 ) )
| ~ ! [SY141: val] :
~ ~ ( ~ ( member_val @ SY141 @ SV17 )
| ~ ( SV57 @ SY141 ) )
| ~ ! [SY142: val] :
~ ~ ( ~ ( member_val @ SY142 @ SV39 )
| ~ ( SV57 @ SY142 ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SY140: val] :
~ ~ ( ~ ( member_val @ SY140 @ ( sup_sup_set_val @ SV17 @ SV39 ) )
| ~ ( SV57 @ SY140 ) )
| ~ ( ~ ! [SY141: val] :
~ ~ ( ~ ( member_val @ SY141 @ SV17 )
| ~ ( SV57 @ SY141 ) )
| ~ ! [SY142: val] :
~ ~ ( ~ ( member_val @ SY142 @ SV39 )
| ~ ( SV57 @ SY142 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[529]) ).
thf(552,plain,
! [SV58: set_val,SV40: set_val,SV18: val] :
( ( ( member_val @ SV18 @ SV40 )
= $false )
| ( ( member_val @ SV18 @ ( sup_sup_set_val @ SV40 @ SV58 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[531]) ).
thf(553,plain,
! [SV59: node,SV41: g,SV19: val] :
( ( ( member_val @ SV19 @ ( defs @ SV41 @ SV59 ) )
= $false )
| ( ( member_val @ SV19 @ ( sSA_CF139593942de_val @ defs @ phis @ SV41 @ SV59 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[532]) ).
thf(554,plain,
! [SV60: set_val,SV42: set_val,SV20: val] :
( ( ( member_val @ SV20 @ ( sup_sup_set_val @ SV42 @ SV60 ) )
= $false )
| ( ( ~ ~ ( member_val @ SV20 @ SV42 )
| ( member_val @ SV20 @ SV60 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[533]) ).
thf(555,plain,
! [SV65: set_val,SV43: set_val] :
( ( ~ ( ( ord_less_eq_set_val @ SV43 @ SV65 )
| ! [SY145: val] :
( ~ ( member_val @ SY145 @ SV43 )
| ( member_val @ SY145 @ SV65 ) ) )
| ~ ( ~ ( ord_less_eq_set_val @ SV43 @ SV65 )
| ~ ! [SY145: val] :
( ~ ( member_val @ SY145 @ SV43 )
| ( member_val @ SY145 @ SV65 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[534]) ).
thf(556,plain,
! [SV65: set_val,SV43: set_val] :
( ( ( ord_less_eq_set_val @ SV43 @ SV65 )
= ( ! [SY145: val] :
( ~ ( member_val @ SY145 @ SV43 )
| ( member_val @ SY145 @ SV65 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[534]) ).
thf(557,plain,
! [SV23: set_val,SV45: set_val] :
( ( ( ~ ( member_val @ ( sK2_SY134 @ SV45 @ SV23 ) @ SV23 )
| ( member_val @ ( sK2_SY134 @ SV45 @ SV23 ) @ SV45 ) )
= $false )
| ( ( ord_less_eq_set_val @ SV23 @ SV45 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[536]) ).
thf(558,plain,
! [SV62: val,SV46: val,SV24: g] :
( ( ( sSA_CF1252180629de_val @ alpha_n @ defs @ phis @ SV24 @ SV46 @ SV62 )
= $false )
| ( ( member_val @ SV62 @ ( sSA_CF1517915011eD_val @ alpha_n @ inEdges @ defs @ uses @ phis @ SV24 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[537]) ).
thf(559,plain,
! [SV27: val > $o,SV4: val] :
( ( ( member_val @ SV4 @ ( collect_val @ SV27 ) )
= $false )
| ( ( ~ ( ~ ( member_val @ SV4 @ ( collect_val @ SV27 ) )
| ~ ( SV27 @ SV4 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[538]) ).
thf(560,plain,
! [SV4: val,SV27: val > $o] :
( ( ( SV27 @ SV4 )
= $false )
| ( ( ~ ( ~ ( member_val @ SV4 @ ( collect_val @ SV27 ) )
| ~ ( SV27 @ SV4 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[538]) ).
thf(561,plain,
! [SV67: g > node > set_val,SV63: g > node > list_P561207620_edgeD,SV28: g > list_node] :
( ( ( sSA_CF1517915011eD_val @ SV28 @ SV63 @ SV67 )
= ( sSA_CF1517915011eD_val @ SV28 @ SV63 @ SV67 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[539]) ).
thf(562,plain,
! [SV48: set_val,SV29: set_val,SV7: val] :
( ( ( ( member_val @ SV7 @ ( sup_sup_set_val @ SV29 @ SV48 ) )
| ( member_val @ SV7 @ SV29 )
| ( member_val @ SV7 @ SV48 ) )
= $false )
| ( ( ~ ( ~ ( member_val @ SV7 @ ( sup_sup_set_val @ SV29 @ SV48 ) )
| ~ ( ( member_val @ SV7 @ SV29 )
| ( member_val @ SV7 @ SV48 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[541]) ).
thf(563,plain,
! [SV64: set_val,SV30: set_val] :
( ( ( ~ ( ( ord_less_eq_set_val @ SV30 @ SV64 )
| ! [SY144: val] :
( ~ ( member_val @ SY144 @ SV30 )
| ( member_val @ SY144 @ SV64 ) ) ) )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_set_val @ SV30 @ SV64 )
| ~ ! [SY144: val] :
( ~ ( member_val @ SY144 @ SV30 )
| ( member_val @ SY144 @ SV64 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[542]) ).
thf(564,plain,
! [SV50: set_val,SV31: set_val,SV9: val] :
( ( ( ~ ~ ( member_val @ SV9 @ SV31 ) )
= $false )
| ( ( member_val @ SV9 @ ( sup_sup_set_val @ SV50 @ SV31 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[544]) ).
thf(565,plain,
! [SV31: set_val,SV50: set_val,SV9: val] :
( ( ( member_val @ SV9 @ SV50 )
= $false )
| ( ( member_val @ SV9 @ ( sup_sup_set_val @ SV50 @ SV31 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[544]) ).
thf(566,plain,
! [SV32: set_val,SV10: set_val,SV51: val] :
( ( ( ~ ( member_val @ SV51 @ SV10 ) )
= $true )
| ( ( member_val @ SV51 @ SV32 )
= $true )
| ( ( ord_less_eq_set_val @ SV10 @ SV32 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[545]) ).
thf(567,plain,
! [SV53: val > $o,SV34: set_val,SV12: set_val] :
( ( ( ! [SY137: val] :
( ~ ( member_val @ SY137 @ ( sup_sup_set_val @ SV12 @ SV34 ) )
| ( SV53 @ SY137 ) )
| ~ ( ~ ! [SY138: val] :
( ~ ( member_val @ SY138 @ SV12 )
| ( SV53 @ SY138 ) )
| ~ ! [SY139: val] :
( ~ ( member_val @ SY139 @ SV34 )
| ( SV53 @ SY139 ) ) ) )
= $false )
| ( ( ~ ( ~ ! [SY137: val] :
( ~ ( member_val @ SY137 @ ( sup_sup_set_val @ SV12 @ SV34 ) )
| ( SV53 @ SY137 ) )
| ~ ~ ( ~ ! [SY138: val] :
( ~ ( member_val @ SY138 @ SV12 )
| ( SV53 @ SY138 ) )
| ~ ! [SY139: val] :
( ~ ( member_val @ SY139 @ SV34 )
| ( SV53 @ SY139 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[547]) ).
thf(568,plain,
! [SV36: set_val,SV14: set_val,SV55: val] :
( ( ( ~ ( member_val @ SV55 @ SV14 ) )
= $true )
| ( ( member_val @ SV55 @ SV36 )
= $true )
| ( ( ord_less_eq_set_val @ SV14 @ SV36 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[549]) ).
thf(569,plain,
! [SV57: val > $o,SV39: set_val,SV17: set_val] :
( ( ( ~ ! [SY140: val] :
~ ~ ( ~ ( member_val @ SY140 @ ( sup_sup_set_val @ SV17 @ SV39 ) )
| ~ ( SV57 @ SY140 ) )
| ~ ! [SY141: val] :
~ ~ ( ~ ( member_val @ SY141 @ SV17 )
| ~ ( SV57 @ SY141 ) )
| ~ ! [SY142: val] :
~ ~ ( ~ ( member_val @ SY142 @ SV39 )
| ~ ( SV57 @ SY142 ) ) )
= $false )
| ( ( ~ ( ~ ~ ! [SY140: val] :
~ ~ ( ~ ( member_val @ SY140 @ ( sup_sup_set_val @ SV17 @ SV39 ) )
| ~ ( SV57 @ SY140 ) )
| ~ ( ~ ! [SY141: val] :
~ ~ ( ~ ( member_val @ SY141 @ SV17 )
| ~ ( SV57 @ SY141 ) )
| ~ ! [SY142: val] :
~ ~ ( ~ ( member_val @ SY142 @ SV39 )
| ~ ( SV57 @ SY142 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[551]) ).
thf(570,plain,
! [SV60: set_val,SV42: set_val,SV20: val] :
( ( ( ~ ~ ( member_val @ SV20 @ SV42 ) )
= $true )
| ( ( member_val @ SV20 @ SV60 )
= $true )
| ( ( member_val @ SV20 @ ( sup_sup_set_val @ SV42 @ SV60 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[554]) ).
thf(571,plain,
! [SV65: set_val,SV43: set_val] :
( ( ( ~ ( ( ord_less_eq_set_val @ SV43 @ SV65 )
| ! [SY145: val] :
( ~ ( member_val @ SY145 @ SV43 )
| ( member_val @ SY145 @ SV65 ) ) ) )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_set_val @ SV43 @ SV65 )
| ~ ! [SY145: val] :
( ~ ( member_val @ SY145 @ SV43 )
| ( member_val @ SY145 @ SV65 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[555]) ).
thf(572,plain,
! [SV23: set_val,SV45: set_val] :
( ( ( ~ ( member_val @ ( sK2_SY134 @ SV45 @ SV23 ) @ SV23 ) )
= $false )
| ( ( ord_less_eq_set_val @ SV23 @ SV45 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[557]) ).
thf(573,plain,
! [SV23: set_val,SV45: set_val] :
( ( ( member_val @ ( sK2_SY134 @ SV45 @ SV23 ) @ SV45 )
= $false )
| ( ( ord_less_eq_set_val @ SV23 @ SV45 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[557]) ).
thf(574,plain,
! [SV27: val > $o,SV4: val] :
( ( ( ~ ( member_val @ SV4 @ ( collect_val @ SV27 ) )
| ~ ( SV27 @ SV4 ) )
= $false )
| ( ( member_val @ SV4 @ ( collect_val @ SV27 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[559]) ).
thf(575,plain,
! [SV27: val > $o,SV4: val] :
( ( ( ~ ( member_val @ SV4 @ ( collect_val @ SV27 ) )
| ~ ( SV27 @ SV4 ) )
= $false )
| ( ( SV27 @ SV4 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[560]) ).
thf(576,plain,
! [SV67: g > node > set_val,SV63: g > node > list_P561207620_edgeD,SV28: g > list_node] :
( ( ! [SV68: g > node > set_val] :
( ( sSA_CF1517915011eD_val @ SV28 @ SV63 @ SV67 @ SV68 )
= ( sSA_CF1517915011eD_val @ SV28 @ SV63 @ SV67 @ SV68 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[561]) ).
thf(577,plain,
! [SV67: g > node > set_val,SV63: g > node > list_P561207620_edgeD,SV28: g > list_node] :
( ( ( sSA_CF1517915011eD_val @ SV28 @ SV63 @ SV67 )
= ( sSA_CF1517915011eD_val @ SV28 @ SV63 @ SV67 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[561]) ).
thf(578,plain,
! [SV48: set_val,SV29: set_val,SV7: val] :
( ( ( member_val @ SV7 @ ( sup_sup_set_val @ SV29 @ SV48 ) )
= $false )
| ( ( ~ ( ~ ( member_val @ SV7 @ ( sup_sup_set_val @ SV29 @ SV48 ) )
| ~ ( ( member_val @ SV7 @ SV29 )
| ( member_val @ SV7 @ SV48 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[562]) ).
thf(579,plain,
! [SV48: set_val,SV29: set_val,SV7: val] :
( ( ( ( member_val @ SV7 @ SV29 )
| ( member_val @ SV7 @ SV48 ) )
= $false )
| ( ( ~ ( ~ ( member_val @ SV7 @ ( sup_sup_set_val @ SV29 @ SV48 ) )
| ~ ( ( member_val @ SV7 @ SV29 )
| ( member_val @ SV7 @ SV48 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[562]) ).
thf(580,plain,
! [SV64: set_val,SV30: set_val] :
( ( ( ( ord_less_eq_set_val @ SV30 @ SV64 )
| ! [SY144: val] :
( ~ ( member_val @ SY144 @ SV30 )
| ( member_val @ SY144 @ SV64 ) ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_val @ SV30 @ SV64 )
| ~ ! [SY144: val] :
( ~ ( member_val @ SY144 @ SV30 )
| ( member_val @ SY144 @ SV64 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[563]) ).
thf(581,plain,
! [SV50: set_val,SV31: set_val,SV9: val] :
( ( ( ~ ( member_val @ SV9 @ SV31 ) )
= $true )
| ( ( member_val @ SV9 @ ( sup_sup_set_val @ SV50 @ SV31 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[564]) ).
thf(582,plain,
! [SV32: set_val,SV10: set_val,SV51: val] :
( ( ( member_val @ SV51 @ SV10 )
= $false )
| ( ( member_val @ SV51 @ SV32 )
= $true )
| ( ( ord_less_eq_set_val @ SV10 @ SV32 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[566]) ).
thf(583,plain,
! [SV53: val > $o,SV34: set_val,SV12: set_val] :
( ( ( ! [SY137: val] :
( ~ ( member_val @ SY137 @ ( sup_sup_set_val @ SV12 @ SV34 ) )
| ( SV53 @ SY137 ) ) )
= $false )
| ( ( ~ ( ~ ! [SY137: val] :
( ~ ( member_val @ SY137 @ ( sup_sup_set_val @ SV12 @ SV34 ) )
| ( SV53 @ SY137 ) )
| ~ ~ ( ~ ! [SY138: val] :
( ~ ( member_val @ SY138 @ SV12 )
| ( SV53 @ SY138 ) )
| ~ ! [SY139: val] :
( ~ ( member_val @ SY139 @ SV34 )
| ( SV53 @ SY139 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[567]) ).
thf(584,plain,
! [SV34: set_val,SV53: val > $o,SV12: set_val] :
( ( ( ~ ( ~ ! [SY138: val] :
( ~ ( member_val @ SY138 @ SV12 )
| ( SV53 @ SY138 ) )
| ~ ! [SY139: val] :
( ~ ( member_val @ SY139 @ SV34 )
| ( SV53 @ SY139 ) ) ) )
= $false )
| ( ( ~ ( ~ ! [SY137: val] :
( ~ ( member_val @ SY137 @ ( sup_sup_set_val @ SV12 @ SV34 ) )
| ( SV53 @ SY137 ) )
| ~ ~ ( ~ ! [SY138: val] :
( ~ ( member_val @ SY138 @ SV12 )
| ( SV53 @ SY138 ) )
| ~ ! [SY139: val] :
( ~ ( member_val @ SY139 @ SV34 )
| ( SV53 @ SY139 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[567]) ).
thf(585,plain,
! [SV36: set_val,SV14: set_val,SV55: val] :
( ( ( member_val @ SV55 @ SV14 )
= $false )
| ( ( member_val @ SV55 @ SV36 )
= $true )
| ( ( ord_less_eq_set_val @ SV14 @ SV36 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[568]) ).
thf(586,plain,
! [SV57: val > $o,SV39: set_val,SV17: set_val] :
( ( ( ~ ! [SY140: val] :
~ ~ ( ~ ( member_val @ SY140 @ ( sup_sup_set_val @ SV17 @ SV39 ) )
| ~ ( SV57 @ SY140 ) ) )
= $false )
| ( ( ~ ( ~ ~ ! [SY140: val] :
~ ~ ( ~ ( member_val @ SY140 @ ( sup_sup_set_val @ SV17 @ SV39 ) )
| ~ ( SV57 @ SY140 ) )
| ~ ( ~ ! [SY141: val] :
~ ~ ( ~ ( member_val @ SY141 @ SV17 )
| ~ ( SV57 @ SY141 ) )
| ~ ! [SY142: val] :
~ ~ ( ~ ( member_val @ SY142 @ SV39 )
| ~ ( SV57 @ SY142 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[569]) ).
thf(587,plain,
! [SV39: set_val,SV57: val > $o,SV17: set_val] :
( ( ( ~ ! [SY141: val] :
~ ~ ( ~ ( member_val @ SY141 @ SV17 )
| ~ ( SV57 @ SY141 ) )
| ~ ! [SY142: val] :
~ ~ ( ~ ( member_val @ SY142 @ SV39 )
| ~ ( SV57 @ SY142 ) ) )
= $false )
| ( ( ~ ( ~ ~ ! [SY140: val] :
~ ~ ( ~ ( member_val @ SY140 @ ( sup_sup_set_val @ SV17 @ SV39 ) )
| ~ ( SV57 @ SY140 ) )
| ~ ( ~ ! [SY141: val] :
~ ~ ( ~ ( member_val @ SY141 @ SV17 )
| ~ ( SV57 @ SY141 ) )
| ~ ! [SY142: val] :
~ ~ ( ~ ( member_val @ SY142 @ SV39 )
| ~ ( SV57 @ SY142 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[569]) ).
thf(588,plain,
! [SV60: set_val,SV42: set_val,SV20: val] :
( ( ( ~ ( member_val @ SV20 @ SV42 ) )
= $false )
| ( ( member_val @ SV20 @ SV60 )
= $true )
| ( ( member_val @ SV20 @ ( sup_sup_set_val @ SV42 @ SV60 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[570]) ).
thf(589,plain,
! [SV65: set_val,SV43: set_val] :
( ( ( ( ord_less_eq_set_val @ SV43 @ SV65 )
| ! [SY145: val] :
( ~ ( member_val @ SY145 @ SV43 )
| ( member_val @ SY145 @ SV65 ) ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_val @ SV43 @ SV65 )
| ~ ! [SY145: val] :
( ~ ( member_val @ SY145 @ SV43 )
| ( member_val @ SY145 @ SV65 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[571]) ).
thf(590,plain,
! [SV23: set_val,SV45: set_val] :
( ( ( member_val @ ( sK2_SY134 @ SV45 @ SV23 ) @ SV23 )
= $true )
| ( ( ord_less_eq_set_val @ SV23 @ SV45 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[572]) ).
thf(591,plain,
! [SV27: val > $o,SV4: val] :
( ( ( ~ ( member_val @ SV4 @ ( collect_val @ SV27 ) ) )
= $false )
| ( ( member_val @ SV4 @ ( collect_val @ SV27 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[574]) ).
thf(592,plain,
! [SV4: val,SV27: val > $o] :
( ( ( ~ ( SV27 @ SV4 ) )
= $false )
| ( ( member_val @ SV4 @ ( collect_val @ SV27 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[574]) ).
thf(593,plain,
! [SV27: val > $o,SV4: val] :
( ( ( ~ ( member_val @ SV4 @ ( collect_val @ SV27 ) ) )
= $false )
| ( ( SV27 @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[575]) ).
thf(594,plain,
! [SV4: val,SV27: val > $o] :
( ( ( ~ ( SV27 @ SV4 ) )
= $false )
| ( ( SV27 @ SV4 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[575]) ).
thf(595,plain,
! [SV69: g > node > set_val,SV67: g > node > set_val,SV63: g > node > list_P561207620_edgeD,SV28: g > list_node] :
( ( ( sSA_CF1517915011eD_val @ SV28 @ SV63 @ SV67 @ SV69 )
= ( sSA_CF1517915011eD_val @ SV28 @ SV63 @ SV67 @ SV69 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[576]) ).
thf(596,plain,
! [SV48: set_val,SV29: set_val,SV7: val] :
( ( ( ~ ( member_val @ SV7 @ ( sup_sup_set_val @ SV29 @ SV48 ) )
| ~ ( ( member_val @ SV7 @ SV29 )
| ( member_val @ SV7 @ SV48 ) ) )
= $false )
| ( ( member_val @ SV7 @ ( sup_sup_set_val @ SV29 @ SV48 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[578]) ).
thf(597,plain,
! [SV48: set_val,SV29: set_val,SV7: val] :
( ( ( member_val @ SV7 @ SV29 )
= $false )
| ( ( ~ ( ~ ( member_val @ SV7 @ ( sup_sup_set_val @ SV29 @ SV48 ) )
| ~ ( ( member_val @ SV7 @ SV29 )
| ( member_val @ SV7 @ SV48 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[579]) ).
thf(598,plain,
! [SV29: set_val,SV48: set_val,SV7: val] :
( ( ( member_val @ SV7 @ SV48 )
= $false )
| ( ( ~ ( ~ ( member_val @ SV7 @ ( sup_sup_set_val @ SV29 @ SV48 ) )
| ~ ( ( member_val @ SV7 @ SV29 )
| ( member_val @ SV7 @ SV48 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[579]) ).
thf(599,plain,
! [SV64: set_val,SV30: set_val] :
( ( ( ord_less_eq_set_val @ SV30 @ SV64 )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_val @ SV30 @ SV64 )
| ~ ! [SY144: val] :
( ~ ( member_val @ SY144 @ SV30 )
| ( member_val @ SY144 @ SV64 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[580]) ).
thf(600,plain,
! [SV64: set_val,SV30: set_val] :
( ( ( ! [SY144: val] :
( ~ ( member_val @ SY144 @ SV30 )
| ( member_val @ SY144 @ SV64 ) ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_val @ SV30 @ SV64 )
| ~ ! [SY144: val] :
( ~ ( member_val @ SY144 @ SV30 )
| ( member_val @ SY144 @ SV64 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[580]) ).
thf(601,plain,
! [SV50: set_val,SV31: set_val,SV9: val] :
( ( ( member_val @ SV9 @ SV31 )
= $false )
| ( ( member_val @ SV9 @ ( sup_sup_set_val @ SV50 @ SV31 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[581]) ).
thf(602,plain,
! [SV12: set_val,SV34: set_val,SV53: val > $o] :
( ( ( ~ ( member_val @ ( sK3_SY137 @ SV53 @ SV34 @ SV12 ) @ ( sup_sup_set_val @ SV12 @ SV34 ) )
| ( SV53 @ ( sK3_SY137 @ SV53 @ SV34 @ SV12 ) ) )
= $false )
| ( ( ~ ( ~ ! [SY137: val] :
( ~ ( member_val @ SY137 @ ( sup_sup_set_val @ SV12 @ SV34 ) )
| ( SV53 @ SY137 ) )
| ~ ~ ( ~ ! [SY138: val] :
( ~ ( member_val @ SY138 @ SV12 )
| ( SV53 @ SY138 ) )
| ~ ! [SY139: val] :
( ~ ( member_val @ SY139 @ SV34 )
| ( SV53 @ SY139 ) ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[583]) ).
thf(603,plain,
! [SV34: set_val,SV53: val > $o,SV12: set_val] :
( ( ( ~ ! [SY138: val] :
( ~ ( member_val @ SY138 @ SV12 )
| ( SV53 @ SY138 ) )
| ~ ! [SY139: val] :
( ~ ( member_val @ SY139 @ SV34 )
| ( SV53 @ SY139 ) ) )
= $true )
| ( ( ~ ( ~ ! [SY137: val] :
( ~ ( member_val @ SY137 @ ( sup_sup_set_val @ SV12 @ SV34 ) )
| ( SV53 @ SY137 ) )
| ~ ~ ( ~ ! [SY138: val] :
( ~ ( member_val @ SY138 @ SV12 )
| ( SV53 @ SY138 ) )
| ~ ! [SY139: val] :
( ~ ( member_val @ SY139 @ SV34 )
| ( SV53 @ SY139 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[584]) ).
thf(604,plain,
! [SV57: val > $o,SV39: set_val,SV17: set_val] :
( ( ( ! [SY140: val] :
~ ~ ( ~ ( member_val @ SY140 @ ( sup_sup_set_val @ SV17 @ SV39 ) )
| ~ ( SV57 @ SY140 ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SY140: val] :
~ ~ ( ~ ( member_val @ SY140 @ ( sup_sup_set_val @ SV17 @ SV39 ) )
| ~ ( SV57 @ SY140 ) )
| ~ ( ~ ! [SY141: val] :
~ ~ ( ~ ( member_val @ SY141 @ SV17 )
| ~ ( SV57 @ SY141 ) )
| ~ ! [SY142: val] :
~ ~ ( ~ ( member_val @ SY142 @ SV39 )
| ~ ( SV57 @ SY142 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[586]) ).
thf(605,plain,
! [SV39: set_val,SV57: val > $o,SV17: set_val] :
( ( ( ~ ! [SY141: val] :
~ ~ ( ~ ( member_val @ SY141 @ SV17 )
| ~ ( SV57 @ SY141 ) ) )
= $false )
| ( ( ~ ( ~ ~ ! [SY140: val] :
~ ~ ( ~ ( member_val @ SY140 @ ( sup_sup_set_val @ SV17 @ SV39 ) )
| ~ ( SV57 @ SY140 ) )
| ~ ( ~ ! [SY141: val] :
~ ~ ( ~ ( member_val @ SY141 @ SV17 )
| ~ ( SV57 @ SY141 ) )
| ~ ! [SY142: val] :
~ ~ ( ~ ( member_val @ SY142 @ SV39 )
| ~ ( SV57 @ SY142 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[587]) ).
thf(606,plain,
! [SV17: set_val,SV57: val > $o,SV39: set_val] :
( ( ( ~ ! [SY142: val] :
~ ~ ( ~ ( member_val @ SY142 @ SV39 )
| ~ ( SV57 @ SY142 ) ) )
= $false )
| ( ( ~ ( ~ ~ ! [SY140: val] :
~ ~ ( ~ ( member_val @ SY140 @ ( sup_sup_set_val @ SV17 @ SV39 ) )
| ~ ( SV57 @ SY140 ) )
| ~ ( ~ ! [SY141: val] :
~ ~ ( ~ ( member_val @ SY141 @ SV17 )
| ~ ( SV57 @ SY141 ) )
| ~ ! [SY142: val] :
~ ~ ( ~ ( member_val @ SY142 @ SV39 )
| ~ ( SV57 @ SY142 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[587]) ).
thf(607,plain,
! [SV60: set_val,SV42: set_val,SV20: val] :
( ( ( member_val @ SV20 @ SV42 )
= $true )
| ( ( member_val @ SV20 @ SV60 )
= $true )
| ( ( member_val @ SV20 @ ( sup_sup_set_val @ SV42 @ SV60 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[588]) ).
thf(608,plain,
! [SV65: set_val,SV43: set_val] :
( ( ( ord_less_eq_set_val @ SV43 @ SV65 )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_val @ SV43 @ SV65 )
| ~ ! [SY145: val] :
( ~ ( member_val @ SY145 @ SV43 )
| ( member_val @ SY145 @ SV65 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[589]) ).
thf(609,plain,
! [SV65: set_val,SV43: set_val] :
( ( ( ! [SY145: val] :
( ~ ( member_val @ SY145 @ SV43 )
| ( member_val @ SY145 @ SV65 ) ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_val @ SV43 @ SV65 )
| ~ ! [SY145: val] :
( ~ ( member_val @ SY145 @ SV43 )
| ( member_val @ SY145 @ SV65 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[589]) ).
thf(610,plain,
! [SV27: val > $o,SV4: val] :
( ( ( member_val @ SV4 @ ( collect_val @ SV27 ) )
= $true )
| ( ( member_val @ SV4 @ ( collect_val @ SV27 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[591]) ).
thf(611,plain,
! [SV4: val,SV27: val > $o] :
( ( ( SV27 @ SV4 )
= $true )
| ( ( member_val @ SV4 @ ( collect_val @ SV27 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[592]) ).
thf(612,plain,
! [SV27: val > $o,SV4: val] :
( ( ( member_val @ SV4 @ ( collect_val @ SV27 ) )
= $true )
| ( ( SV27 @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[593]) ).
thf(613,plain,
! [SV4: val,SV27: val > $o] :
( ( ( SV27 @ SV4 )
= $true )
| ( ( SV27 @ SV4 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[594]) ).
thf(614,plain,
! [SV69: g > node > set_val,SV67: g > node > set_val,SV63: g > node > list_P561207620_edgeD,SV28: g > list_node] :
( ( ! [SV70: g > produc1432036078de_val > option_list_val] :
( ( sSA_CF1517915011eD_val @ SV28 @ SV63 @ SV67 @ SV69 @ SV70 )
= ( sSA_CF1517915011eD_val @ SV28 @ SV63 @ SV67 @ SV69 @ SV70 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[595]) ).
thf(615,plain,
! [SV69: g > node > set_val,SV67: g > node > set_val,SV63: g > node > list_P561207620_edgeD,SV28: g > list_node] :
( ( ( sSA_CF1517915011eD_val @ SV28 @ SV63 @ SV67 @ SV69 )
= ( sSA_CF1517915011eD_val @ SV28 @ SV63 @ SV67 @ SV69 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[595]) ).
thf(616,plain,
! [SV48: set_val,SV29: set_val,SV7: val] :
( ( ( ~ ( member_val @ SV7 @ ( sup_sup_set_val @ SV29 @ SV48 ) ) )
= $false )
| ( ( member_val @ SV7 @ ( sup_sup_set_val @ SV29 @ SV48 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[596]) ).
thf(617,plain,
! [SV48: set_val,SV29: set_val,SV7: val] :
( ( ( ~ ( ( member_val @ SV7 @ SV29 )
| ( member_val @ SV7 @ SV48 ) ) )
= $false )
| ( ( member_val @ SV7 @ ( sup_sup_set_val @ SV29 @ SV48 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[596]) ).
thf(618,plain,
! [SV48: set_val,SV29: set_val,SV7: val] :
( ( ( ~ ( member_val @ SV7 @ ( sup_sup_set_val @ SV29 @ SV48 ) )
| ~ ( ( member_val @ SV7 @ SV29 )
| ( member_val @ SV7 @ SV48 ) ) )
= $false )
| ( ( member_val @ SV7 @ SV29 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[597]) ).
thf(619,plain,
! [SV48: set_val,SV29: set_val,SV7: val] :
( ( ( ~ ( member_val @ SV7 @ ( sup_sup_set_val @ SV29 @ SV48 ) )
| ~ ( ( member_val @ SV7 @ SV29 )
| ( member_val @ SV7 @ SV48 ) ) )
= $false )
| ( ( member_val @ SV7 @ SV48 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[598]) ).
thf(620,plain,
! [SV64: set_val,SV30: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV30 @ SV64 )
| ~ ! [SY144: val] :
( ~ ( member_val @ SY144 @ SV30 )
| ( member_val @ SY144 @ SV64 ) ) )
= $false )
| ( ( ord_less_eq_set_val @ SV30 @ SV64 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[599]) ).
thf(621,plain,
! [SV30: set_val,SV64: set_val] :
( ( ( ~ ( member_val @ ( sK4_SY144 @ SV64 @ SV30 ) @ SV30 )
| ( member_val @ ( sK4_SY144 @ SV64 @ SV30 ) @ SV64 ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_val @ SV30 @ SV64 )
| ~ ! [SY144: val] :
( ~ ( member_val @ SY144 @ SV30 )
| ( member_val @ SY144 @ SV64 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[600]) ).
thf(622,plain,
! [SV12: set_val,SV34: set_val,SV53: val > $o] :
( ( ( ~ ( member_val @ ( sK3_SY137 @ SV53 @ SV34 @ SV12 ) @ ( sup_sup_set_val @ SV12 @ SV34 ) ) )
= $false )
| ( ( ~ ( ~ ! [SY137: val] :
( ~ ( member_val @ SY137 @ ( sup_sup_set_val @ SV12 @ SV34 ) )
| ( SV53 @ SY137 ) )
| ~ ~ ( ~ ! [SY138: val] :
( ~ ( member_val @ SY138 @ SV12 )
| ( SV53 @ SY138 ) )
| ~ ! [SY139: val] :
( ~ ( member_val @ SY139 @ SV34 )
| ( SV53 @ SY139 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[602]) ).
thf(623,plain,
! [SV12: set_val,SV34: set_val,SV53: val > $o] :
( ( ( SV53 @ ( sK3_SY137 @ SV53 @ SV34 @ SV12 ) )
= $false )
| ( ( ~ ( ~ ! [SY137: val] :
( ~ ( member_val @ SY137 @ ( sup_sup_set_val @ SV12 @ SV34 ) )
| ( SV53 @ SY137 ) )
| ~ ~ ( ~ ! [SY138: val] :
( ~ ( member_val @ SY138 @ SV12 )
| ( SV53 @ SY138 ) )
| ~ ! [SY139: val] :
( ~ ( member_val @ SY139 @ SV34 )
| ( SV53 @ SY139 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[602]) ).
thf(624,plain,
! [SV34: set_val,SV53: val > $o,SV12: set_val] :
( ( ( ~ ! [SY138: val] :
( ~ ( member_val @ SY138 @ SV12 )
| ( SV53 @ SY138 ) ) )
= $true )
| ( ( ~ ! [SY139: val] :
( ~ ( member_val @ SY139 @ SV34 )
| ( SV53 @ SY139 ) ) )
= $true )
| ( ( ~ ( ~ ! [SY137: val] :
( ~ ( member_val @ SY137 @ ( sup_sup_set_val @ SV12 @ SV34 ) )
| ( SV53 @ SY137 ) )
| ~ ~ ( ~ ! [SY138: val] :
( ~ ( member_val @ SY138 @ SV12 )
| ( SV53 @ SY138 ) )
| ~ ! [SY139: val] :
( ~ ( member_val @ SY139 @ SV34 )
| ( SV53 @ SY139 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[603]) ).
thf(625,plain,
! [SV57: val > $o,SV39: set_val,SV17: set_val,SV71: val] :
( ( ( ~ ~ ( ~ ( member_val @ SV71 @ ( sup_sup_set_val @ SV17 @ SV39 ) )
| ~ ( SV57 @ SV71 ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SY140: val] :
~ ~ ( ~ ( member_val @ SY140 @ ( sup_sup_set_val @ SV17 @ SV39 ) )
| ~ ( SV57 @ SY140 ) )
| ~ ( ~ ! [SY141: val] :
~ ~ ( ~ ( member_val @ SY141 @ SV17 )
| ~ ( SV57 @ SY141 ) )
| ~ ! [SY142: val] :
~ ~ ( ~ ( member_val @ SY142 @ SV39 )
| ~ ( SV57 @ SY142 ) ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[604]) ).
thf(626,plain,
! [SV39: set_val,SV57: val > $o,SV17: set_val] :
( ( ( ! [SY141: val] :
~ ~ ( ~ ( member_val @ SY141 @ SV17 )
| ~ ( SV57 @ SY141 ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SY140: val] :
~ ~ ( ~ ( member_val @ SY140 @ ( sup_sup_set_val @ SV17 @ SV39 ) )
| ~ ( SV57 @ SY140 ) )
| ~ ( ~ ! [SY141: val] :
~ ~ ( ~ ( member_val @ SY141 @ SV17 )
| ~ ( SV57 @ SY141 ) )
| ~ ! [SY142: val] :
~ ~ ( ~ ( member_val @ SY142 @ SV39 )
| ~ ( SV57 @ SY142 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[605]) ).
thf(627,plain,
! [SV17: set_val,SV57: val > $o,SV39: set_val] :
( ( ( ! [SY142: val] :
~ ~ ( ~ ( member_val @ SY142 @ SV39 )
| ~ ( SV57 @ SY142 ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SY140: val] :
~ ~ ( ~ ( member_val @ SY140 @ ( sup_sup_set_val @ SV17 @ SV39 ) )
| ~ ( SV57 @ SY140 ) )
| ~ ( ~ ! [SY141: val] :
~ ~ ( ~ ( member_val @ SY141 @ SV17 )
| ~ ( SV57 @ SY141 ) )
| ~ ! [SY142: val] :
~ ~ ( ~ ( member_val @ SY142 @ SV39 )
| ~ ( SV57 @ SY142 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[606]) ).
thf(628,plain,
! [SV65: set_val,SV43: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV43 @ SV65 )
| ~ ! [SY145: val] :
( ~ ( member_val @ SY145 @ SV43 )
| ( member_val @ SY145 @ SV65 ) ) )
= $false )
| ( ( ord_less_eq_set_val @ SV43 @ SV65 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[608]) ).
thf(629,plain,
! [SV43: set_val,SV65: set_val] :
( ( ( ~ ( member_val @ ( sK5_SY145 @ SV65 @ SV43 ) @ SV43 )
| ( member_val @ ( sK5_SY145 @ SV65 @ SV43 ) @ SV65 ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_val @ SV43 @ SV65 )
| ~ ! [SY145: val] :
( ~ ( member_val @ SY145 @ SV43 )
| ( member_val @ SY145 @ SV65 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[609]) ).
thf(630,plain,
! [SV72: g > produc1432036078de_val > option_list_val,SV69: g > node > set_val,SV67: g > node > set_val,SV63: g > node > list_P561207620_edgeD,SV28: g > list_node] :
( ( ( sSA_CF1517915011eD_val @ SV28 @ SV63 @ SV67 @ SV69 @ SV72 )
= ( sSA_CF1517915011eD_val @ SV28 @ SV63 @ SV67 @ SV69 @ SV72 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[614]) ).
thf(631,plain,
! [SV48: set_val,SV29: set_val,SV7: val] :
( ( ( member_val @ SV7 @ ( sup_sup_set_val @ SV29 @ SV48 ) )
= $true )
| ( ( member_val @ SV7 @ ( sup_sup_set_val @ SV29 @ SV48 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[616]) ).
thf(632,plain,
! [SV48: set_val,SV29: set_val,SV7: val] :
( ( ( ( member_val @ SV7 @ SV29 )
| ( member_val @ SV7 @ SV48 ) )
= $true )
| ( ( member_val @ SV7 @ ( sup_sup_set_val @ SV29 @ SV48 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[617]) ).
thf(633,plain,
! [SV48: set_val,SV29: set_val,SV7: val] :
( ( ( ~ ( member_val @ SV7 @ ( sup_sup_set_val @ SV29 @ SV48 ) ) )
= $false )
| ( ( member_val @ SV7 @ SV29 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[618]) ).
thf(634,plain,
! [SV48: set_val,SV29: set_val,SV7: val] :
( ( ( ~ ( ( member_val @ SV7 @ SV29 )
| ( member_val @ SV7 @ SV48 ) ) )
= $false )
| ( ( member_val @ SV7 @ SV29 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[618]) ).
thf(635,plain,
! [SV48: set_val,SV29: set_val,SV7: val] :
( ( ( ~ ( member_val @ SV7 @ ( sup_sup_set_val @ SV29 @ SV48 ) ) )
= $false )
| ( ( member_val @ SV7 @ SV48 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[619]) ).
thf(636,plain,
! [SV48: set_val,SV29: set_val,SV7: val] :
( ( ( ~ ( ( member_val @ SV7 @ SV29 )
| ( member_val @ SV7 @ SV48 ) ) )
= $false )
| ( ( member_val @ SV7 @ SV48 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[619]) ).
thf(637,plain,
! [SV64: set_val,SV30: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV30 @ SV64 ) )
= $false )
| ( ( ord_less_eq_set_val @ SV30 @ SV64 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[620]) ).
thf(638,plain,
! [SV64: set_val,SV30: set_val] :
( ( ( ~ ! [SY144: val] :
( ~ ( member_val @ SY144 @ SV30 )
| ( member_val @ SY144 @ SV64 ) ) )
= $false )
| ( ( ord_less_eq_set_val @ SV30 @ SV64 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[620]) ).
thf(639,plain,
! [SV30: set_val,SV64: set_val] :
( ( ( ~ ( member_val @ ( sK4_SY144 @ SV64 @ SV30 ) @ SV30 ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_val @ SV30 @ SV64 )
| ~ ! [SY144: val] :
( ~ ( member_val @ SY144 @ SV30 )
| ( member_val @ SY144 @ SV64 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[621]) ).
thf(640,plain,
! [SV30: set_val,SV64: set_val] :
( ( ( member_val @ ( sK4_SY144 @ SV64 @ SV30 ) @ SV64 )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_val @ SV30 @ SV64 )
| ~ ! [SY144: val] :
( ~ ( member_val @ SY144 @ SV30 )
| ( member_val @ SY144 @ SV64 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[621]) ).
thf(641,plain,
! [SV12: set_val,SV34: set_val,SV53: val > $o] :
( ( ( member_val @ ( sK3_SY137 @ SV53 @ SV34 @ SV12 ) @ ( sup_sup_set_val @ SV12 @ SV34 ) )
= $true )
| ( ( ~ ( ~ ! [SY137: val] :
( ~ ( member_val @ SY137 @ ( sup_sup_set_val @ SV12 @ SV34 ) )
| ( SV53 @ SY137 ) )
| ~ ~ ( ~ ! [SY138: val] :
( ~ ( member_val @ SY138 @ SV12 )
| ( SV53 @ SY138 ) )
| ~ ! [SY139: val] :
( ~ ( member_val @ SY139 @ SV34 )
| ( SV53 @ SY139 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[622]) ).
thf(642,plain,
! [SV53: val > $o,SV34: set_val,SV12: set_val] :
( ( ( ~ ! [SY137: val] :
( ~ ( member_val @ SY137 @ ( sup_sup_set_val @ SV12 @ SV34 ) )
| ( SV53 @ SY137 ) )
| ~ ~ ( ~ ! [SY138: val] :
( ~ ( member_val @ SY138 @ SV12 )
| ( SV53 @ SY138 ) )
| ~ ! [SY139: val] :
( ~ ( member_val @ SY139 @ SV34 )
| ( SV53 @ SY139 ) ) ) )
= $false )
| ( ( SV53 @ ( sK3_SY137 @ SV53 @ SV34 @ SV12 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[623]) ).
thf(643,plain,
! [SV34: set_val,SV53: val > $o,SV12: set_val] :
( ( ( ! [SY138: val] :
( ~ ( member_val @ SY138 @ SV12 )
| ( SV53 @ SY138 ) ) )
= $false )
| ( ( ~ ! [SY139: val] :
( ~ ( member_val @ SY139 @ SV34 )
| ( SV53 @ SY139 ) ) )
= $true )
| ( ( ~ ( ~ ! [SY137: val] :
( ~ ( member_val @ SY137 @ ( sup_sup_set_val @ SV12 @ SV34 ) )
| ( SV53 @ SY137 ) )
| ~ ~ ( ~ ! [SY138: val] :
( ~ ( member_val @ SY138 @ SV12 )
| ( SV53 @ SY138 ) )
| ~ ! [SY139: val] :
( ~ ( member_val @ SY139 @ SV34 )
| ( SV53 @ SY139 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[624]) ).
thf(644,plain,
! [SV57: val > $o,SV39: set_val,SV17: set_val,SV71: val] :
( ( ( ~ ( ~ ( member_val @ SV71 @ ( sup_sup_set_val @ SV17 @ SV39 ) )
| ~ ( SV57 @ SV71 ) ) )
= $false )
| ( ( ~ ( ~ ~ ! [SY140: val] :
~ ~ ( ~ ( member_val @ SY140 @ ( sup_sup_set_val @ SV17 @ SV39 ) )
| ~ ( SV57 @ SY140 ) )
| ~ ( ~ ! [SY141: val] :
~ ~ ( ~ ( member_val @ SY141 @ SV17 )
| ~ ( SV57 @ SY141 ) )
| ~ ! [SY142: val] :
~ ~ ( ~ ( member_val @ SY142 @ SV39 )
| ~ ( SV57 @ SY142 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[625]) ).
thf(645,plain,
! [SV39: set_val,SV57: val > $o,SV17: set_val,SV73: val] :
( ( ( ~ ~ ( ~ ( member_val @ SV73 @ SV17 )
| ~ ( SV57 @ SV73 ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SY140: val] :
~ ~ ( ~ ( member_val @ SY140 @ ( sup_sup_set_val @ SV17 @ SV39 ) )
| ~ ( SV57 @ SY140 ) )
| ~ ( ~ ! [SY141: val] :
~ ~ ( ~ ( member_val @ SY141 @ SV17 )
| ~ ( SV57 @ SY141 ) )
| ~ ! [SY142: val] :
~ ~ ( ~ ( member_val @ SY142 @ SV39 )
| ~ ( SV57 @ SY142 ) ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[626]) ).
thf(646,plain,
! [SV17: set_val,SV57: val > $o,SV39: set_val,SV74: val] :
( ( ( ~ ~ ( ~ ( member_val @ SV74 @ SV39 )
| ~ ( SV57 @ SV74 ) ) )
= $true )
| ( ( ~ ( ~ ~ ! [SY140: val] :
~ ~ ( ~ ( member_val @ SY140 @ ( sup_sup_set_val @ SV17 @ SV39 ) )
| ~ ( SV57 @ SY140 ) )
| ~ ( ~ ! [SY141: val] :
~ ~ ( ~ ( member_val @ SY141 @ SV17 )
| ~ ( SV57 @ SY141 ) )
| ~ ! [SY142: val] :
~ ~ ( ~ ( member_val @ SY142 @ SV39 )
| ~ ( SV57 @ SY142 ) ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[627]) ).
thf(647,plain,
! [SV65: set_val,SV43: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV43 @ SV65 ) )
= $false )
| ( ( ord_less_eq_set_val @ SV43 @ SV65 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[628]) ).
thf(648,plain,
! [SV65: set_val,SV43: set_val] :
( ( ( ~ ! [SY145: val] :
( ~ ( member_val @ SY145 @ SV43 )
| ( member_val @ SY145 @ SV65 ) ) )
= $false )
| ( ( ord_less_eq_set_val @ SV43 @ SV65 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[628]) ).
thf(649,plain,
! [SV43: set_val,SV65: set_val] :
( ( ( ~ ( member_val @ ( sK5_SY145 @ SV65 @ SV43 ) @ SV43 ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_val @ SV43 @ SV65 )
| ~ ! [SY145: val] :
( ~ ( member_val @ SY145 @ SV43 )
| ( member_val @ SY145 @ SV65 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[629]) ).
thf(650,plain,
! [SV43: set_val,SV65: set_val] :
( ( ( member_val @ ( sK5_SY145 @ SV65 @ SV43 ) @ SV65 )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_val @ SV43 @ SV65 )
| ~ ! [SY145: val] :
( ~ ( member_val @ SY145 @ SV43 )
| ( member_val @ SY145 @ SV65 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[629]) ).
thf(651,plain,
! [SV72: g > produc1432036078de_val > option_list_val,SV69: g > node > set_val,SV67: g > node > set_val,SV63: g > node > list_P561207620_edgeD,SV28: g > list_node] :
( ( ! [SV75: g] :
( ( sSA_CF1517915011eD_val @ SV28 @ SV63 @ SV67 @ SV69 @ SV72 @ SV75 )
= ( sSA_CF1517915011eD_val @ SV28 @ SV63 @ SV67 @ SV69 @ SV72 @ SV75 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[630]) ).
thf(652,plain,
! [SV72: g > produc1432036078de_val > option_list_val,SV69: g > node > set_val,SV67: g > node > set_val,SV63: g > node > list_P561207620_edgeD,SV28: g > list_node] :
( ( ( sSA_CF1517915011eD_val @ SV28 @ SV63 @ SV67 @ SV69 @ SV72 )
= ( sSA_CF1517915011eD_val @ SV28 @ SV63 @ SV67 @ SV69 @ SV72 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[630]) ).
thf(653,plain,
! [SV48: set_val,SV29: set_val,SV7: val] :
( ( ( member_val @ SV7 @ SV29 )
= $true )
| ( ( member_val @ SV7 @ SV48 )
= $true )
| ( ( member_val @ SV7 @ ( sup_sup_set_val @ SV29 @ SV48 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[632]) ).
thf(654,plain,
! [SV48: set_val,SV29: set_val,SV7: val] :
( ( ( member_val @ SV7 @ ( sup_sup_set_val @ SV29 @ SV48 ) )
= $true )
| ( ( member_val @ SV7 @ SV29 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[633]) ).
thf(655,plain,
! [SV48: set_val,SV29: set_val,SV7: val] :
( ( ( ( member_val @ SV7 @ SV29 )
| ( member_val @ SV7 @ SV48 ) )
= $true )
| ( ( member_val @ SV7 @ SV29 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[634]) ).
thf(656,plain,
! [SV48: set_val,SV29: set_val,SV7: val] :
( ( ( member_val @ SV7 @ ( sup_sup_set_val @ SV29 @ SV48 ) )
= $true )
| ( ( member_val @ SV7 @ SV48 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[635]) ).
thf(657,plain,
! [SV48: set_val,SV29: set_val,SV7: val] :
( ( ( ( member_val @ SV7 @ SV29 )
| ( member_val @ SV7 @ SV48 ) )
= $true )
| ( ( member_val @ SV7 @ SV48 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[636]) ).
thf(658,plain,
! [SV64: set_val,SV30: set_val] :
( ( ( ord_less_eq_set_val @ SV30 @ SV64 )
= $true )
| ( ( ord_less_eq_set_val @ SV30 @ SV64 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[637]) ).
thf(659,plain,
! [SV64: set_val,SV30: set_val] :
( ( ( ! [SY144: val] :
( ~ ( member_val @ SY144 @ SV30 )
| ( member_val @ SY144 @ SV64 ) ) )
= $true )
| ( ( ord_less_eq_set_val @ SV30 @ SV64 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[638]) ).
thf(660,plain,
! [SV30: set_val,SV64: set_val] :
( ( ( member_val @ ( sK4_SY144 @ SV64 @ SV30 ) @ SV30 )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_set_val @ SV30 @ SV64 )
| ~ ! [SY144: val] :
( ~ ( member_val @ SY144 @ SV30 )
| ( member_val @ SY144 @ SV64 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[639]) ).
thf(661,plain,
! [SV64: set_val,SV30: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV30 @ SV64 )
| ~ ! [SY144: val] :
( ~ ( member_val @ SY144 @ SV30 )
| ( member_val @ SY144 @ SV64 ) ) )
= $false )
| ( ( member_val @ ( sK4_SY144 @ SV64 @ SV30 ) @ SV64 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[640]) ).
thf(662,plain,
! [SV53: val > $o,SV34: set_val,SV12: set_val] :
( ( ( ~ ! [SY137: val] :
( ~ ( member_val @ SY137 @ ( sup_sup_set_val @ SV12 @ SV34 ) )
| ( SV53 @ SY137 ) )
| ~ ~ ( ~ ! [SY138: val] :
( ~ ( member_val @ SY138 @ SV12 )
| ( SV53 @ SY138 ) )
| ~ ! [SY139: val] :
( ~ ( member_val @ SY139 @ SV34 )
| ( SV53 @ SY139 ) ) ) )
= $false )
| ( ( member_val @ ( sK3_SY137 @ SV53 @ SV34 @ SV12 ) @ ( sup_sup_set_val @ SV12 @ SV34 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[641]) ).
thf(663,plain,
! [SV53: val > $o,SV34: set_val,SV12: set_val] :
( ( ( ~ ! [SY137: val] :
( ~ ( member_val @ SY137 @ ( sup_sup_set_val @ SV12 @ SV34 ) )
| ( SV53 @ SY137 ) ) )
= $false )
| ( ( SV53 @ ( sK3_SY137 @ SV53 @ SV34 @ SV12 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[642]) ).
thf(664,plain,
! [SV34: set_val,SV53: val > $o,SV12: set_val] :
( ( ( ~ ~ ( ~ ! [SY138: val] :
( ~ ( member_val @ SY138 @ SV12 )
| ( SV53 @ SY138 ) )
| ~ ! [SY139: val] :
( ~ ( member_val @ SY139 @ SV34 )
| ( SV53 @ SY139 ) ) ) )
= $false )
| ( ( SV53 @ ( sK3_SY137 @ SV53 @ SV34 @ SV12 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[642]) ).
thf(665,plain,
! [SV12: set_val,SV53: val > $o,SV34: set_val] :
( ( ( ~ ( member_val @ ( sK6_SY138 @ SV34 @ SV53 @ SV12 ) @ SV12 )
| ( SV53 @ ( sK6_SY138 @ SV34 @ SV53 @ SV12 ) ) )
= $false )
| ( ( ~ ! [SY139: val] :
( ~ ( member_val @ SY139 @ SV34 )
| ( SV53 @ SY139 ) ) )
= $true )
| ( ( ~ ( ~ ! [SY137: val] :
( ~ ( member_val @ SY137 @ ( sup_sup_set_val @ SV12 @ SV34 ) )
| ( SV53 @ SY137 ) )
| ~ ~ ( ~ ! [SY138: val] :
( ~ ( member_val @ SY138 @ SV12 )
| ( SV53 @ SY138 ) )
| ~ ! [SY139: val] :
( ~ ( member_val @ SY139 @ SV34 )
| ( SV53 @ SY139 ) ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[643]) ).
thf(666,plain,
! [SV57: val > $o,SV39: set_val,SV17: set_val,SV71: val] :
( ( ( ~ ( member_val @ SV71 @ ( sup_sup_set_val @ SV17 @ SV39 ) )
| ~ ( SV57 @ SV71 ) )
= $true )
| ( ( ~ ( ~ ~ ! [SY140: val] :
~ ~ ( ~ ( member_val @ SY140 @ ( sup_sup_set_val @ SV17 @ SV39 ) )
| ~ ( SV57 @ SY140 ) )
| ~ ( ~ ! [SY141: val] :
~ ~ ( ~ ( member_val @ SY141 @ SV17 )
| ~ ( SV57 @ SY141 ) )
| ~ ! [SY142: val] :
~ ~ ( ~ ( member_val @ SY142 @ SV39 )
| ~ ( SV57 @ SY142 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[644]) ).
thf(667,plain,
! [SV39: set_val,SV57: val > $o,SV17: set_val,SV73: val] :
( ( ( ~ ( ~ ( member_val @ SV73 @ SV17 )
| ~ ( SV57 @ SV73 ) ) )
= $false )
| ( ( ~ ( ~ ~ ! [SY140: val] :
~ ~ ( ~ ( member_val @ SY140 @ ( sup_sup_set_val @ SV17 @ SV39 ) )
| ~ ( SV57 @ SY140 ) )
| ~ ( ~ ! [SY141: val] :
~ ~ ( ~ ( member_val @ SY141 @ SV17 )
| ~ ( SV57 @ SY141 ) )
| ~ ! [SY142: val] :
~ ~ ( ~ ( member_val @ SY142 @ SV39 )
| ~ ( SV57 @ SY142 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[645]) ).
thf(668,plain,
! [SV17: set_val,SV57: val > $o,SV39: set_val,SV74: val] :
( ( ( ~ ( ~ ( member_val @ SV74 @ SV39 )
| ~ ( SV57 @ SV74 ) ) )
= $false )
| ( ( ~ ( ~ ~ ! [SY140: val] :
~ ~ ( ~ ( member_val @ SY140 @ ( sup_sup_set_val @ SV17 @ SV39 ) )
| ~ ( SV57 @ SY140 ) )
| ~ ( ~ ! [SY141: val] :
~ ~ ( ~ ( member_val @ SY141 @ SV17 )
| ~ ( SV57 @ SY141 ) )
| ~ ! [SY142: val] :
~ ~ ( ~ ( member_val @ SY142 @ SV39 )
| ~ ( SV57 @ SY142 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[646]) ).
thf(669,plain,
! [SV65: set_val,SV43: set_val] :
( ( ( ord_less_eq_set_val @ SV43 @ SV65 )
= $true )
| ( ( ord_less_eq_set_val @ SV43 @ SV65 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[647]) ).
thf(670,plain,
! [SV65: set_val,SV43: set_val] :
( ( ( ! [SY145: val] :
( ~ ( member_val @ SY145 @ SV43 )
| ( member_val @ SY145 @ SV65 ) ) )
= $true )
| ( ( ord_less_eq_set_val @ SV43 @ SV65 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[648]) ).
thf(671,plain,
! [SV43: set_val,SV65: set_val] :
( ( ( member_val @ ( sK5_SY145 @ SV65 @ SV43 ) @ SV43 )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_set_val @ SV43 @ SV65 )
| ~ ! [SY145: val] :
( ~ ( member_val @ SY145 @ SV43 )
| ( member_val @ SY145 @ SV65 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[649]) ).
thf(672,plain,
! [SV65: set_val,SV43: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV43 @ SV65 )
| ~ ! [SY145: val] :
( ~ ( member_val @ SY145 @ SV43 )
| ( member_val @ SY145 @ SV65 ) ) )
= $false )
| ( ( member_val @ ( sK5_SY145 @ SV65 @ SV43 ) @ SV65 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[650]) ).
thf(673,plain,
! [SV76: g,SV72: g > produc1432036078de_val > option_list_val,SV69: g > node > set_val,SV67: g > node > set_val,SV63: g > node > list_P561207620_edgeD,SV28: g > list_node] :
( ( ( sSA_CF1517915011eD_val @ SV28 @ SV63 @ SV67 @ SV69 @ SV72 @ SV76 )
= ( sSA_CF1517915011eD_val @ SV28 @ SV63 @ SV67 @ SV69 @ SV72 @ SV76 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[651]) ).
thf(674,plain,
! [SV48: set_val,SV29: set_val,SV7: val] :
( ( ( member_val @ SV7 @ SV29 )
= $true )
| ( ( member_val @ SV7 @ SV48 )
= $true )
| ( ( member_val @ SV7 @ SV29 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[655]) ).
thf(675,plain,
! [SV48: set_val,SV29: set_val,SV7: val] :
( ( ( member_val @ SV7 @ SV29 )
= $true )
| ( ( member_val @ SV7 @ SV48 )
= $true )
| ( ( member_val @ SV7 @ SV48 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[657]) ).
thf(676,plain,
! [SV64: set_val,SV30: set_val,SV77: val] :
( ( ( ~ ( member_val @ SV77 @ SV30 )
| ( member_val @ SV77 @ SV64 ) )
= $true )
| ( ( ord_less_eq_set_val @ SV30 @ SV64 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[659]) ).
thf(677,plain,
! [SV64: set_val,SV30: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV30 @ SV64 )
| ~ ! [SY144: val] :
( ~ ( member_val @ SY144 @ SV30 )
| ( member_val @ SY144 @ SV64 ) ) )
= $false )
| ( ( member_val @ ( sK4_SY144 @ SV64 @ SV30 ) @ SV30 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[660]) ).
thf(678,plain,
! [SV64: set_val,SV30: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV30 @ SV64 ) )
= $false )
| ( ( member_val @ ( sK4_SY144 @ SV64 @ SV30 ) @ SV64 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[661]) ).
thf(679,plain,
! [SV64: set_val,SV30: set_val] :
( ( ( ~ ! [SY144: val] :
( ~ ( member_val @ SY144 @ SV30 )
| ( member_val @ SY144 @ SV64 ) ) )
= $false )
| ( ( member_val @ ( sK4_SY144 @ SV64 @ SV30 ) @ SV64 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[661]) ).
thf(680,plain,
! [SV53: val > $o,SV34: set_val,SV12: set_val] :
( ( ( ~ ! [SY137: val] :
( ~ ( member_val @ SY137 @ ( sup_sup_set_val @ SV12 @ SV34 ) )
| ( SV53 @ SY137 ) ) )
= $false )
| ( ( member_val @ ( sK3_SY137 @ SV53 @ SV34 @ SV12 ) @ ( sup_sup_set_val @ SV12 @ SV34 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[662]) ).
thf(681,plain,
! [SV34: set_val,SV53: val > $o,SV12: set_val] :
( ( ( ~ ~ ( ~ ! [SY138: val] :
( ~ ( member_val @ SY138 @ SV12 )
| ( SV53 @ SY138 ) )
| ~ ! [SY139: val] :
( ~ ( member_val @ SY139 @ SV34 )
| ( SV53 @ SY139 ) ) ) )
= $false )
| ( ( member_val @ ( sK3_SY137 @ SV53 @ SV34 @ SV12 ) @ ( sup_sup_set_val @ SV12 @ SV34 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[662]) ).
thf(682,plain,
! [SV53: val > $o,SV34: set_val,SV12: set_val] :
( ( ( ! [SY137: val] :
( ~ ( member_val @ SY137 @ ( sup_sup_set_val @ SV12 @ SV34 ) )
| ( SV53 @ SY137 ) ) )
= $true )
| ( ( SV53 @ ( sK3_SY137 @ SV53 @ SV34 @ SV12 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[663]) ).
thf(683,plain,
! [SV34: set_val,SV53: val > $o,SV12: set_val] :
( ( ( ~ ( ~ ! [SY138: val] :
( ~ ( member_val @ SY138 @ SV12 )
| ( SV53 @ SY138 ) )
| ~ ! [SY139: val] :
( ~ ( member_val @ SY139 @ SV34 )
| ( SV53 @ SY139 ) ) ) )
= $true )
| ( ( SV53 @ ( sK3_SY137 @ SV53 @ SV34 @ SV12 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[664]) ).
thf(684,plain,
! [SV12: set_val,SV53: val > $o,SV34: set_val] :
( ( ( ~ ( member_val @ ( sK6_SY138 @ SV34 @ SV53 @ SV12 ) @ SV12 ) )
= $false )
| ( ( ~ ! [SY139: val] :
( ~ ( member_val @ SY139 @ SV34 )
| ( SV53 @ SY139 ) ) )
= $true )
| ( ( ~ ( ~ ! [SY137: val] :
( ~ ( member_val @ SY137 @ ( sup_sup_set_val @ SV12 @ SV34 ) )
| ( SV53 @ SY137 ) )
| ~ ~ ( ~ ! [SY138: val] :
( ~ ( member_val @ SY138 @ SV12 )
| ( SV53 @ SY138 ) )
| ~ ! [SY139: val] :
( ~ ( member_val @ SY139 @ SV34 )
| ( SV53 @ SY139 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[665]) ).
thf(685,plain,
! [SV12: set_val,SV34: set_val,SV53: val > $o] :
( ( ( SV53 @ ( sK6_SY138 @ SV34 @ SV53 @ SV12 ) )
= $false )
| ( ( ~ ! [SY139: val] :
( ~ ( member_val @ SY139 @ SV34 )
| ( SV53 @ SY139 ) ) )
= $true )
| ( ( ~ ( ~ ! [SY137: val] :
( ~ ( member_val @ SY137 @ ( sup_sup_set_val @ SV12 @ SV34 ) )
| ( SV53 @ SY137 ) )
| ~ ~ ( ~ ! [SY138: val] :
( ~ ( member_val @ SY138 @ SV12 )
| ( SV53 @ SY138 ) )
| ~ ! [SY139: val] :
( ~ ( member_val @ SY139 @ SV34 )
| ( SV53 @ SY139 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[665]) ).
thf(686,plain,
! [SV57: val > $o,SV39: set_val,SV17: set_val,SV71: val] :
( ( ( ~ ( member_val @ SV71 @ ( sup_sup_set_val @ SV17 @ SV39 ) ) )
= $true )
| ( ( ~ ( SV57 @ SV71 ) )
= $true )
| ( ( ~ ( ~ ~ ! [SY140: val] :
~ ~ ( ~ ( member_val @ SY140 @ ( sup_sup_set_val @ SV17 @ SV39 ) )
| ~ ( SV57 @ SY140 ) )
| ~ ( ~ ! [SY141: val] :
~ ~ ( ~ ( member_val @ SY141 @ SV17 )
| ~ ( SV57 @ SY141 ) )
| ~ ! [SY142: val] :
~ ~ ( ~ ( member_val @ SY142 @ SV39 )
| ~ ( SV57 @ SY142 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[666]) ).
thf(687,plain,
! [SV39: set_val,SV57: val > $o,SV17: set_val,SV73: val] :
( ( ( ~ ( member_val @ SV73 @ SV17 )
| ~ ( SV57 @ SV73 ) )
= $true )
| ( ( ~ ( ~ ~ ! [SY140: val] :
~ ~ ( ~ ( member_val @ SY140 @ ( sup_sup_set_val @ SV17 @ SV39 ) )
| ~ ( SV57 @ SY140 ) )
| ~ ( ~ ! [SY141: val] :
~ ~ ( ~ ( member_val @ SY141 @ SV17 )
| ~ ( SV57 @ SY141 ) )
| ~ ! [SY142: val] :
~ ~ ( ~ ( member_val @ SY142 @ SV39 )
| ~ ( SV57 @ SY142 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[667]) ).
thf(688,plain,
! [SV17: set_val,SV57: val > $o,SV39: set_val,SV74: val] :
( ( ( ~ ( member_val @ SV74 @ SV39 )
| ~ ( SV57 @ SV74 ) )
= $true )
| ( ( ~ ( ~ ~ ! [SY140: val] :
~ ~ ( ~ ( member_val @ SY140 @ ( sup_sup_set_val @ SV17 @ SV39 ) )
| ~ ( SV57 @ SY140 ) )
| ~ ( ~ ! [SY141: val] :
~ ~ ( ~ ( member_val @ SY141 @ SV17 )
| ~ ( SV57 @ SY141 ) )
| ~ ! [SY142: val] :
~ ~ ( ~ ( member_val @ SY142 @ SV39 )
| ~ ( SV57 @ SY142 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[668]) ).
thf(689,plain,
! [SV65: set_val,SV43: set_val,SV78: val] :
( ( ( ~ ( member_val @ SV78 @ SV43 )
| ( member_val @ SV78 @ SV65 ) )
= $true )
| ( ( ord_less_eq_set_val @ SV43 @ SV65 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[670]) ).
thf(690,plain,
! [SV65: set_val,SV43: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV43 @ SV65 )
| ~ ! [SY145: val] :
( ~ ( member_val @ SY145 @ SV43 )
| ( member_val @ SY145 @ SV65 ) ) )
= $false )
| ( ( member_val @ ( sK5_SY145 @ SV65 @ SV43 ) @ SV43 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[671]) ).
thf(691,plain,
! [SV65: set_val,SV43: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV43 @ SV65 ) )
= $false )
| ( ( member_val @ ( sK5_SY145 @ SV65 @ SV43 ) @ SV65 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[672]) ).
thf(692,plain,
! [SV65: set_val,SV43: set_val] :
( ( ( ~ ! [SY145: val] :
( ~ ( member_val @ SY145 @ SV43 )
| ( member_val @ SY145 @ SV65 ) ) )
= $false )
| ( ( member_val @ ( sK5_SY145 @ SV65 @ SV43 ) @ SV65 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[672]) ).
thf(693,plain,
! [SV64: set_val,SV30: set_val,SV77: val] :
( ( ( ~ ( member_val @ SV77 @ SV30 ) )
= $true )
| ( ( member_val @ SV77 @ SV64 )
= $true )
| ( ( ord_less_eq_set_val @ SV30 @ SV64 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[676]) ).
thf(694,plain,
! [SV64: set_val,SV30: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV30 @ SV64 ) )
= $false )
| ( ( member_val @ ( sK4_SY144 @ SV64 @ SV30 ) @ SV30 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[677]) ).
thf(695,plain,
! [SV64: set_val,SV30: set_val] :
( ( ( ~ ! [SY144: val] :
( ~ ( member_val @ SY144 @ SV30 )
| ( member_val @ SY144 @ SV64 ) ) )
= $false )
| ( ( member_val @ ( sK4_SY144 @ SV64 @ SV30 ) @ SV30 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[677]) ).
thf(696,plain,
! [SV64: set_val,SV30: set_val] :
( ( ( ord_less_eq_set_val @ SV30 @ SV64 )
= $true )
| ( ( member_val @ ( sK4_SY144 @ SV64 @ SV30 ) @ SV64 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[678]) ).
thf(697,plain,
! [SV64: set_val,SV30: set_val] :
( ( ( ! [SY144: val] :
( ~ ( member_val @ SY144 @ SV30 )
| ( member_val @ SY144 @ SV64 ) ) )
= $true )
| ( ( member_val @ ( sK4_SY144 @ SV64 @ SV30 ) @ SV64 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[679]) ).
thf(698,plain,
! [SV53: val > $o,SV34: set_val,SV12: set_val] :
( ( ( ! [SY137: val] :
( ~ ( member_val @ SY137 @ ( sup_sup_set_val @ SV12 @ SV34 ) )
| ( SV53 @ SY137 ) ) )
= $true )
| ( ( member_val @ ( sK3_SY137 @ SV53 @ SV34 @ SV12 ) @ ( sup_sup_set_val @ SV12 @ SV34 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[680]) ).
thf(699,plain,
! [SV34: set_val,SV53: val > $o,SV12: set_val] :
( ( ( ~ ( ~ ! [SY138: val] :
( ~ ( member_val @ SY138 @ SV12 )
| ( SV53 @ SY138 ) )
| ~ ! [SY139: val] :
( ~ ( member_val @ SY139 @ SV34 )
| ( SV53 @ SY139 ) ) ) )
= $true )
| ( ( member_val @ ( sK3_SY137 @ SV53 @ SV34 @ SV12 ) @ ( sup_sup_set_val @ SV12 @ SV34 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[681]) ).
thf(700,plain,
! [SV53: val > $o,SV34: set_val,SV12: set_val,SV79: val] :
( ( ( ~ ( member_val @ SV79 @ ( sup_sup_set_val @ SV12 @ SV34 ) )
| ( SV53 @ SV79 ) )
= $true )
| ( ( SV53 @ ( sK3_SY137 @ SV53 @ SV34 @ SV12 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[682]) ).
thf(701,plain,
! [SV34: set_val,SV53: val > $o,SV12: set_val] :
( ( ( ~ ! [SY138: val] :
( ~ ( member_val @ SY138 @ SV12 )
| ( SV53 @ SY138 ) )
| ~ ! [SY139: val] :
( ~ ( member_val @ SY139 @ SV34 )
| ( SV53 @ SY139 ) ) )
= $false )
| ( ( SV53 @ ( sK3_SY137 @ SV53 @ SV34 @ SV12 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[683]) ).
thf(702,plain,
! [SV12: set_val,SV53: val > $o,SV34: set_val] :
( ( ( member_val @ ( sK6_SY138 @ SV34 @ SV53 @ SV12 ) @ SV12 )
= $true )
| ( ( ~ ! [SY139: val] :
( ~ ( member_val @ SY139 @ SV34 )
| ( SV53 @ SY139 ) ) )
= $true )
| ( ( ~ ( ~ ! [SY137: val] :
( ~ ( member_val @ SY137 @ ( sup_sup_set_val @ SV12 @ SV34 ) )
| ( SV53 @ SY137 ) )
| ~ ~ ( ~ ! [SY138: val] :
( ~ ( member_val @ SY138 @ SV12 )
| ( SV53 @ SY138 ) )
| ~ ! [SY139: val] :
( ~ ( member_val @ SY139 @ SV34 )
| ( SV53 @ SY139 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[684]) ).
thf(703,plain,
! [SV12: set_val,SV53: val > $o,SV34: set_val] :
( ( ( ! [SY139: val] :
( ~ ( member_val @ SY139 @ SV34 )
| ( SV53 @ SY139 ) ) )
= $false )
| ( ( SV53 @ ( sK6_SY138 @ SV34 @ SV53 @ SV12 ) )
= $false )
| ( ( ~ ( ~ ! [SY137: val] :
( ~ ( member_val @ SY137 @ ( sup_sup_set_val @ SV12 @ SV34 ) )
| ( SV53 @ SY137 ) )
| ~ ~ ( ~ ! [SY138: val] :
( ~ ( member_val @ SY138 @ SV12 )
| ( SV53 @ SY138 ) )
| ~ ! [SY139: val] :
( ~ ( member_val @ SY139 @ SV34 )
| ( SV53 @ SY139 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[685]) ).
thf(704,plain,
! [SV57: val > $o,SV39: set_val,SV17: set_val,SV71: val] :
( ( ( member_val @ SV71 @ ( sup_sup_set_val @ SV17 @ SV39 ) )
= $false )
| ( ( ~ ( SV57 @ SV71 ) )
= $true )
| ( ( ~ ( ~ ~ ! [SY140: val] :
~ ~ ( ~ ( member_val @ SY140 @ ( sup_sup_set_val @ SV17 @ SV39 ) )
| ~ ( SV57 @ SY140 ) )
| ~ ( ~ ! [SY141: val] :
~ ~ ( ~ ( member_val @ SY141 @ SV17 )
| ~ ( SV57 @ SY141 ) )
| ~ ! [SY142: val] :
~ ~ ( ~ ( member_val @ SY142 @ SV39 )
| ~ ( SV57 @ SY142 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[686]) ).
thf(705,plain,
! [SV39: set_val,SV57: val > $o,SV17: set_val,SV73: val] :
( ( ( ~ ( member_val @ SV73 @ SV17 ) )
= $true )
| ( ( ~ ( SV57 @ SV73 ) )
= $true )
| ( ( ~ ( ~ ~ ! [SY140: val] :
~ ~ ( ~ ( member_val @ SY140 @ ( sup_sup_set_val @ SV17 @ SV39 ) )
| ~ ( SV57 @ SY140 ) )
| ~ ( ~ ! [SY141: val] :
~ ~ ( ~ ( member_val @ SY141 @ SV17 )
| ~ ( SV57 @ SY141 ) )
| ~ ! [SY142: val] :
~ ~ ( ~ ( member_val @ SY142 @ SV39 )
| ~ ( SV57 @ SY142 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[687]) ).
thf(706,plain,
! [SV17: set_val,SV57: val > $o,SV39: set_val,SV74: val] :
( ( ( ~ ( member_val @ SV74 @ SV39 ) )
= $true )
| ( ( ~ ( SV57 @ SV74 ) )
= $true )
| ( ( ~ ( ~ ~ ! [SY140: val] :
~ ~ ( ~ ( member_val @ SY140 @ ( sup_sup_set_val @ SV17 @ SV39 ) )
| ~ ( SV57 @ SY140 ) )
| ~ ( ~ ! [SY141: val] :
~ ~ ( ~ ( member_val @ SY141 @ SV17 )
| ~ ( SV57 @ SY141 ) )
| ~ ! [SY142: val] :
~ ~ ( ~ ( member_val @ SY142 @ SV39 )
| ~ ( SV57 @ SY142 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[688]) ).
thf(707,plain,
! [SV65: set_val,SV43: set_val,SV78: val] :
( ( ( ~ ( member_val @ SV78 @ SV43 ) )
= $true )
| ( ( member_val @ SV78 @ SV65 )
= $true )
| ( ( ord_less_eq_set_val @ SV43 @ SV65 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[689]) ).
thf(708,plain,
! [SV65: set_val,SV43: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV43 @ SV65 ) )
= $false )
| ( ( member_val @ ( sK5_SY145 @ SV65 @ SV43 ) @ SV43 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[690]) ).
thf(709,plain,
! [SV65: set_val,SV43: set_val] :
( ( ( ~ ! [SY145: val] :
( ~ ( member_val @ SY145 @ SV43 )
| ( member_val @ SY145 @ SV65 ) ) )
= $false )
| ( ( member_val @ ( sK5_SY145 @ SV65 @ SV43 ) @ SV43 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[690]) ).
thf(710,plain,
! [SV65: set_val,SV43: set_val] :
( ( ( ord_less_eq_set_val @ SV43 @ SV65 )
= $true )
| ( ( member_val @ ( sK5_SY145 @ SV65 @ SV43 ) @ SV65 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[691]) ).
thf(711,plain,
! [SV65: set_val,SV43: set_val] :
( ( ( ! [SY145: val] :
( ~ ( member_val @ SY145 @ SV43 )
| ( member_val @ SY145 @ SV65 ) ) )
= $true )
| ( ( member_val @ ( sK5_SY145 @ SV65 @ SV43 ) @ SV65 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[692]) ).
thf(712,plain,
! [SV64: set_val,SV30: set_val,SV77: val] :
( ( ( member_val @ SV77 @ SV30 )
= $false )
| ( ( member_val @ SV77 @ SV64 )
= $true )
| ( ( ord_less_eq_set_val @ SV30 @ SV64 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[693]) ).
thf(713,plain,
! [SV64: set_val,SV30: set_val] :
( ( ( ord_less_eq_set_val @ SV30 @ SV64 )
= $true )
| ( ( member_val @ ( sK4_SY144 @ SV64 @ SV30 ) @ SV30 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[694]) ).
thf(714,plain,
! [SV64: set_val,SV30: set_val] :
( ( ( ! [SY144: val] :
( ~ ( member_val @ SY144 @ SV30 )
| ( member_val @ SY144 @ SV64 ) ) )
= $true )
| ( ( member_val @ ( sK4_SY144 @ SV64 @ SV30 ) @ SV30 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[695]) ).
thf(715,plain,
! [SV64: set_val,SV30: set_val,SV80: val] :
( ( ( ~ ( member_val @ SV80 @ SV30 )
| ( member_val @ SV80 @ SV64 ) )
= $true )
| ( ( member_val @ ( sK4_SY144 @ SV64 @ SV30 ) @ SV64 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[697]) ).
thf(716,plain,
! [SV53: val > $o,SV34: set_val,SV12: set_val,SV81: val] :
( ( ( ~ ( member_val @ SV81 @ ( sup_sup_set_val @ SV12 @ SV34 ) )
| ( SV53 @ SV81 ) )
= $true )
| ( ( member_val @ ( sK3_SY137 @ SV53 @ SV34 @ SV12 ) @ ( sup_sup_set_val @ SV12 @ SV34 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[698]) ).
thf(717,plain,
! [SV34: set_val,SV53: val > $o,SV12: set_val] :
( ( ( ~ ! [SY138: val] :
( ~ ( member_val @ SY138 @ SV12 )
| ( SV53 @ SY138 ) )
| ~ ! [SY139: val] :
( ~ ( member_val @ SY139 @ SV34 )
| ( SV53 @ SY139 ) ) )
= $false )
| ( ( member_val @ ( sK3_SY137 @ SV53 @ SV34 @ SV12 ) @ ( sup_sup_set_val @ SV12 @ SV34 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[699]) ).
thf(718,plain,
! [SV53: val > $o,SV34: set_val,SV12: set_val,SV79: val] :
( ( ( ~ ( member_val @ SV79 @ ( sup_sup_set_val @ SV12 @ SV34 ) ) )
= $true )
| ( ( SV53 @ SV79 )
= $true )
| ( ( SV53 @ ( sK3_SY137 @ SV53 @ SV34 @ SV12 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[700]) ).
thf(719,plain,
! [SV34: set_val,SV53: val > $o,SV12: set_val] :
( ( ( ~ ! [SY138: val] :
( ~ ( member_val @ SY138 @ SV12 )
| ( SV53 @ SY138 ) ) )
= $false )
| ( ( SV53 @ ( sK3_SY137 @ SV53 @ SV34 @ SV12 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[701]) ).
thf(720,plain,
! [SV12: set_val,SV53: val > $o,SV34: set_val] :
( ( ( ~ ! [SY139: val] :
( ~ ( member_val @ SY139 @ SV34 )
| ( SV53 @ SY139 ) ) )
= $false )
| ( ( SV53 @ ( sK3_SY137 @ SV53 @ SV34 @ SV12 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[701]) ).
thf(721,plain,
! [SV12: set_val,SV53: val > $o,SV34: set_val] :
( ( ( ! [SY139: val] :
( ~ ( member_val @ SY139 @ SV34 )
| ( SV53 @ SY139 ) ) )
= $false )
| ( ( member_val @ ( sK6_SY138 @ SV34 @ SV53 @ SV12 ) @ SV12 )
= $true )
| ( ( ~ ( ~ ! [SY137: val] :
( ~ ( member_val @ SY137 @ ( sup_sup_set_val @ SV12 @ SV34 ) )
| ( SV53 @ SY137 ) )
| ~ ~ ( ~ ! [SY138: val] :
( ~ ( member_val @ SY138 @ SV12 )
| ( SV53 @ SY138 ) )
| ~ ! [SY139: val] :
( ~ ( member_val @ SY139 @ SV34 )
| ( SV53 @ SY139 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[702]) ).
thf(722,plain,
! [SV34: set_val,SV53: val > $o,SV12: set_val] :
( ( ( ~ ( member_val @ ( sK7_SY139 @ SV12 @ SV53 @ SV34 ) @ SV34 )
| ( SV53 @ ( sK7_SY139 @ SV12 @ SV53 @ SV34 ) ) )
= $false )
| ( ( SV53 @ ( sK6_SY138 @ SV34 @ SV53 @ SV12 ) )
= $false )
| ( ( ~ ( ~ ! [SY137: val] :
( ~ ( member_val @ SY137 @ ( sup_sup_set_val @ SV12 @ SV34 ) )
| ( SV53 @ SY137 ) )
| ~ ~ ( ~ ! [SY138: val] :
( ~ ( member_val @ SY138 @ SV12 )
| ( SV53 @ SY138 ) )
| ~ ! [SY139: val] :
( ~ ( member_val @ SY139 @ SV34 )
| ( SV53 @ SY139 ) ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[703]) ).
thf(723,plain,
! [SV39: set_val,SV17: set_val,SV71: val,SV57: val > $o] :
( ( ( SV57 @ SV71 )
= $false )
| ( ( member_val @ SV71 @ ( sup_sup_set_val @ SV17 @ SV39 ) )
= $false )
| ( ( ~ ( ~ ~ ! [SY140: val] :
~ ~ ( ~ ( member_val @ SY140 @ ( sup_sup_set_val @ SV17 @ SV39 ) )
| ~ ( SV57 @ SY140 ) )
| ~ ( ~ ! [SY141: val] :
~ ~ ( ~ ( member_val @ SY141 @ SV17 )
| ~ ( SV57 @ SY141 ) )
| ~ ! [SY142: val] :
~ ~ ( ~ ( member_val @ SY142 @ SV39 )
| ~ ( SV57 @ SY142 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[704]) ).
thf(724,plain,
! [SV39: set_val,SV57: val > $o,SV17: set_val,SV73: val] :
( ( ( member_val @ SV73 @ SV17 )
= $false )
| ( ( ~ ( SV57 @ SV73 ) )
= $true )
| ( ( ~ ( ~ ~ ! [SY140: val] :
~ ~ ( ~ ( member_val @ SY140 @ ( sup_sup_set_val @ SV17 @ SV39 ) )
| ~ ( SV57 @ SY140 ) )
| ~ ( ~ ! [SY141: val] :
~ ~ ( ~ ( member_val @ SY141 @ SV17 )
| ~ ( SV57 @ SY141 ) )
| ~ ! [SY142: val] :
~ ~ ( ~ ( member_val @ SY142 @ SV39 )
| ~ ( SV57 @ SY142 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[705]) ).
thf(725,plain,
! [SV17: set_val,SV57: val > $o,SV39: set_val,SV74: val] :
( ( ( member_val @ SV74 @ SV39 )
= $false )
| ( ( ~ ( SV57 @ SV74 ) )
= $true )
| ( ( ~ ( ~ ~ ! [SY140: val] :
~ ~ ( ~ ( member_val @ SY140 @ ( sup_sup_set_val @ SV17 @ SV39 ) )
| ~ ( SV57 @ SY140 ) )
| ~ ( ~ ! [SY141: val] :
~ ~ ( ~ ( member_val @ SY141 @ SV17 )
| ~ ( SV57 @ SY141 ) )
| ~ ! [SY142: val] :
~ ~ ( ~ ( member_val @ SY142 @ SV39 )
| ~ ( SV57 @ SY142 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[706]) ).
thf(726,plain,
! [SV65: set_val,SV43: set_val,SV78: val] :
( ( ( member_val @ SV78 @ SV43 )
= $false )
| ( ( member_val @ SV78 @ SV65 )
= $true )
| ( ( ord_less_eq_set_val @ SV43 @ SV65 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[707]) ).
thf(727,plain,
! [SV65: set_val,SV43: set_val] :
( ( ( ord_less_eq_set_val @ SV43 @ SV65 )
= $true )
| ( ( member_val @ ( sK5_SY145 @ SV65 @ SV43 ) @ SV43 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[708]) ).
thf(728,plain,
! [SV65: set_val,SV43: set_val] :
( ( ( ! [SY145: val] :
( ~ ( member_val @ SY145 @ SV43 )
| ( member_val @ SY145 @ SV65 ) ) )
= $true )
| ( ( member_val @ ( sK5_SY145 @ SV65 @ SV43 ) @ SV43 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[709]) ).
thf(729,plain,
! [SV65: set_val,SV43: set_val,SV82: val] :
( ( ( ~ ( member_val @ SV82 @ SV43 )
| ( member_val @ SV82 @ SV65 ) )
= $true )
| ( ( member_val @ ( sK5_SY145 @ SV65 @ SV43 ) @ SV65 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[711]) ).
thf(730,plain,
! [SV64: set_val,SV30: set_val,SV83: val] :
( ( ( ~ ( member_val @ SV83 @ SV30 )
| ( member_val @ SV83 @ SV64 ) )
= $true )
| ( ( member_val @ ( sK4_SY144 @ SV64 @ SV30 ) @ SV30 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[714]) ).
thf(731,plain,
! [SV64: set_val,SV30: set_val,SV80: val] :
( ( ( ~ ( member_val @ SV80 @ SV30 ) )
= $true )
| ( ( member_val @ SV80 @ SV64 )
= $true )
| ( ( member_val @ ( sK4_SY144 @ SV64 @ SV30 ) @ SV64 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[715]) ).
thf(732,plain,
! [SV53: val > $o,SV34: set_val,SV12: set_val,SV81: val] :
( ( ( ~ ( member_val @ SV81 @ ( sup_sup_set_val @ SV12 @ SV34 ) ) )
= $true )
| ( ( SV53 @ SV81 )
= $true )
| ( ( member_val @ ( sK3_SY137 @ SV53 @ SV34 @ SV12 ) @ ( sup_sup_set_val @ SV12 @ SV34 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[716]) ).
thf(733,plain,
! [SV34: set_val,SV53: val > $o,SV12: set_val] :
( ( ( ~ ! [SY138: val] :
( ~ ( member_val @ SY138 @ SV12 )
| ( SV53 @ SY138 ) ) )
= $false )
| ( ( member_val @ ( sK3_SY137 @ SV53 @ SV34 @ SV12 ) @ ( sup_sup_set_val @ SV12 @ SV34 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[717]) ).
thf(734,plain,
! [SV12: set_val,SV53: val > $o,SV34: set_val] :
( ( ( ~ ! [SY139: val] :
( ~ ( member_val @ SY139 @ SV34 )
| ( SV53 @ SY139 ) ) )
= $false )
| ( ( member_val @ ( sK3_SY137 @ SV53 @ SV34 @ SV12 ) @ ( sup_sup_set_val @ SV12 @ SV34 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[717]) ).
thf(735,plain,
! [SV53: val > $o,SV34: set_val,SV12: set_val,SV79: val] :
( ( ( member_val @ SV79 @ ( sup_sup_set_val @ SV12 @ SV34 ) )
= $false )
| ( ( SV53 @ SV79 )
= $true )
| ( ( SV53 @ ( sK3_SY137 @ SV53 @ SV34 @ SV12 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[718]) ).
thf(736,plain,
! [SV34: set_val,SV53: val > $o,SV12: set_val] :
( ( ( ! [SY138: val] :
( ~ ( member_val @ SY138 @ SV12 )
| ( SV53 @ SY138 ) ) )
= $true )
| ( ( SV53 @ ( sK3_SY137 @ SV53 @ SV34 @ SV12 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[719]) ).
thf(737,plain,
! [SV12: set_val,SV53: val > $o,SV34: set_val] :
( ( ( ! [SY139: val] :
( ~ ( member_val @ SY139 @ SV34 )
| ( SV53 @ SY139 ) ) )
= $true )
| ( ( SV53 @ ( sK3_SY137 @ SV53 @ SV34 @ SV12 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[720]) ).
thf(738,plain,
! [SV34: set_val,SV53: val > $o,SV12: set_val] :
( ( ( ~ ( member_val @ ( sK8_SY139 @ SV12 @ SV53 @ SV34 ) @ SV34 )
| ( SV53 @ ( sK8_SY139 @ SV12 @ SV53 @ SV34 ) ) )
= $false )
| ( ( member_val @ ( sK6_SY138 @ SV34 @ SV53 @ SV12 ) @ SV12 )
= $true )
| ( ( ~ ( ~ ! [SY137: val] :
( ~ ( member_val @ SY137 @ ( sup_sup_set_val @ SV12 @ SV34 ) )
| ( SV53 @ SY137 ) )
| ~ ~ ( ~ ! [SY138: val] :
( ~ ( member_val @ SY138 @ SV12 )
| ( SV53 @ SY138 ) )
| ~ ! [SY139: val] :
( ~ ( member_val @ SY139 @ SV34 )
| ( SV53 @ SY139 ) ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[721]) ).
thf(739,plain,
! [SV34: set_val,SV53: val > $o,SV12: set_val] :
( ( ( ~ ( member_val @ ( sK7_SY139 @ SV12 @ SV53 @ SV34 ) @ SV34 ) )
= $false )
| ( ( SV53 @ ( sK6_SY138 @ SV34 @ SV53 @ SV12 ) )
= $false )
| ( ( ~ ( ~ ! [SY137: val] :
( ~ ( member_val @ SY137 @ ( sup_sup_set_val @ SV12 @ SV34 ) )
| ( SV53 @ SY137 ) )
| ~ ~ ( ~ ! [SY138: val] :
( ~ ( member_val @ SY138 @ SV12 )
| ( SV53 @ SY138 ) )
| ~ ! [SY139: val] :
( ~ ( member_val @ SY139 @ SV34 )
| ( SV53 @ SY139 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[722]) ).
thf(740,plain,
! [SV34: set_val,SV12: set_val,SV53: val > $o] :
( ( ( SV53 @ ( sK7_SY139 @ SV12 @ SV53 @ SV34 ) )
= $false )
| ( ( SV53 @ ( sK6_SY138 @ SV34 @ SV53 @ SV12 ) )
= $false )
| ( ( ~ ( ~ ! [SY137: val] :
( ~ ( member_val @ SY137 @ ( sup_sup_set_val @ SV12 @ SV34 ) )
| ( SV53 @ SY137 ) )
| ~ ~ ( ~ ! [SY138: val] :
( ~ ( member_val @ SY138 @ SV12 )
| ( SV53 @ SY138 ) )
| ~ ! [SY139: val] :
( ~ ( member_val @ SY139 @ SV34 )
| ( SV53 @ SY139 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[722]) ).
thf(741,plain,
! [SV71: val,SV57: val > $o,SV39: set_val,SV17: set_val] :
( ( ( ~ ~ ! [SY140: val] :
~ ~ ( ~ ( member_val @ SY140 @ ( sup_sup_set_val @ SV17 @ SV39 ) )
| ~ ( SV57 @ SY140 ) )
| ~ ( ~ ! [SY141: val] :
~ ~ ( ~ ( member_val @ SY141 @ SV17 )
| ~ ( SV57 @ SY141 ) )
| ~ ! [SY142: val] :
~ ~ ( ~ ( member_val @ SY142 @ SV39 )
| ~ ( SV57 @ SY142 ) ) ) )
= $false )
| ( ( member_val @ SV71 @ ( sup_sup_set_val @ SV17 @ SV39 ) )
= $false )
| ( ( SV57 @ SV71 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[723]) ).
thf(742,plain,
! [SV39: set_val,SV17: set_val,SV73: val,SV57: val > $o] :
( ( ( SV57 @ SV73 )
= $false )
| ( ( member_val @ SV73 @ SV17 )
= $false )
| ( ( ~ ( ~ ~ ! [SY140: val] :
~ ~ ( ~ ( member_val @ SY140 @ ( sup_sup_set_val @ SV17 @ SV39 ) )
| ~ ( SV57 @ SY140 ) )
| ~ ( ~ ! [SY141: val] :
~ ~ ( ~ ( member_val @ SY141 @ SV17 )
| ~ ( SV57 @ SY141 ) )
| ~ ! [SY142: val] :
~ ~ ( ~ ( member_val @ SY142 @ SV39 )
| ~ ( SV57 @ SY142 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[724]) ).
thf(743,plain,
! [SV17: set_val,SV39: set_val,SV74: val,SV57: val > $o] :
( ( ( SV57 @ SV74 )
= $false )
| ( ( member_val @ SV74 @ SV39 )
= $false )
| ( ( ~ ( ~ ~ ! [SY140: val] :
~ ~ ( ~ ( member_val @ SY140 @ ( sup_sup_set_val @ SV17 @ SV39 ) )
| ~ ( SV57 @ SY140 ) )
| ~ ( ~ ! [SY141: val] :
~ ~ ( ~ ( member_val @ SY141 @ SV17 )
| ~ ( SV57 @ SY141 ) )
| ~ ! [SY142: val] :
~ ~ ( ~ ( member_val @ SY142 @ SV39 )
| ~ ( SV57 @ SY142 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[725]) ).
thf(744,plain,
! [SV65: set_val,SV43: set_val,SV84: val] :
( ( ( ~ ( member_val @ SV84 @ SV43 )
| ( member_val @ SV84 @ SV65 ) )
= $true )
| ( ( member_val @ ( sK5_SY145 @ SV65 @ SV43 ) @ SV43 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[728]) ).
thf(745,plain,
! [SV65: set_val,SV43: set_val,SV82: val] :
( ( ( ~ ( member_val @ SV82 @ SV43 ) )
= $true )
| ( ( member_val @ SV82 @ SV65 )
= $true )
| ( ( member_val @ ( sK5_SY145 @ SV65 @ SV43 ) @ SV65 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[729]) ).
thf(746,plain,
! [SV64: set_val,SV30: set_val,SV83: val] :
( ( ( ~ ( member_val @ SV83 @ SV30 ) )
= $true )
| ( ( member_val @ SV83 @ SV64 )
= $true )
| ( ( member_val @ ( sK4_SY144 @ SV64 @ SV30 ) @ SV30 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[730]) ).
thf(747,plain,
! [SV64: set_val,SV30: set_val,SV80: val] :
( ( ( member_val @ SV80 @ SV30 )
= $false )
| ( ( member_val @ SV80 @ SV64 )
= $true )
| ( ( member_val @ ( sK4_SY144 @ SV64 @ SV30 ) @ SV64 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[731]) ).
thf(748,plain,
! [SV53: val > $o,SV34: set_val,SV12: set_val,SV81: val] :
( ( ( member_val @ SV81 @ ( sup_sup_set_val @ SV12 @ SV34 ) )
= $false )
| ( ( SV53 @ SV81 )
= $true )
| ( ( member_val @ ( sK3_SY137 @ SV53 @ SV34 @ SV12 ) @ ( sup_sup_set_val @ SV12 @ SV34 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[732]) ).
thf(749,plain,
! [SV34: set_val,SV53: val > $o,SV12: set_val] :
( ( ( ! [SY138: val] :
( ~ ( member_val @ SY138 @ SV12 )
| ( SV53 @ SY138 ) ) )
= $true )
| ( ( member_val @ ( sK3_SY137 @ SV53 @ SV34 @ SV12 ) @ ( sup_sup_set_val @ SV12 @ SV34 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[733]) ).
thf(750,plain,
! [SV12: set_val,SV53: val > $o,SV34: set_val] :
( ( ( ! [SY139: val] :
( ~ ( member_val @ SY139 @ SV34 )
| ( SV53 @ SY139 ) ) )
= $true )
| ( ( member_val @ ( sK3_SY137 @ SV53 @ SV34 @ SV12 ) @ ( sup_sup_set_val @ SV12 @ SV34 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[734]) ).
thf(751,plain,
! [SV34: set_val,SV53: val > $o,SV12: set_val,SV85: val] :
( ( ( ~ ( member_val @ SV85 @ SV12 )
| ( SV53 @ SV85 ) )
= $true )
| ( ( SV53 @ ( sK3_SY137 @ SV53 @ SV34 @ SV12 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[736]) ).
thf(752,plain,
! [SV12: set_val,SV53: val > $o,SV34: set_val,SV86: val] :
( ( ( ~ ( member_val @ SV86 @ SV34 )
| ( SV53 @ SV86 ) )
= $true )
| ( ( SV53 @ ( sK3_SY137 @ SV53 @ SV34 @ SV12 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[737]) ).
thf(753,plain,
! [SV34: set_val,SV53: val > $o,SV12: set_val] :
( ( ( ~ ( member_val @ ( sK8_SY139 @ SV12 @ SV53 @ SV34 ) @ SV34 ) )
= $false )
| ( ( member_val @ ( sK6_SY138 @ SV34 @ SV53 @ SV12 ) @ SV12 )
= $true )
| ( ( ~ ( ~ ! [SY137: val] :
( ~ ( member_val @ SY137 @ ( sup_sup_set_val @ SV12 @ SV34 ) )
| ( SV53 @ SY137 ) )
| ~ ~ ( ~ ! [SY138: val] :
( ~ ( member_val @ SY138 @ SV12 )
| ( SV53 @ SY138 ) )
| ~ ! [SY139: val] :
( ~ ( member_val @ SY139 @ SV34 )
| ( SV53 @ SY139 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[738]) ).
thf(754,plain,
! [SV34: set_val,SV12: set_val,SV53: val > $o] :
( ( ( SV53 @ ( sK8_SY139 @ SV12 @ SV53 @ SV34 ) )
= $false )
| ( ( member_val @ ( sK6_SY138 @ SV34 @ SV53 @ SV12 ) @ SV12 )
= $true )
| ( ( ~ ( ~ ! [SY137: val] :
( ~ ( member_val @ SY137 @ ( sup_sup_set_val @ SV12 @ SV34 ) )
| ( SV53 @ SY137 ) )
| ~ ~ ( ~ ! [SY138: val] :
( ~ ( member_val @ SY138 @ SV12 )
| ( SV53 @ SY138 ) )
| ~ ! [SY139: val] :
( ~ ( member_val @ SY139 @ SV34 )
| ( SV53 @ SY139 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[738]) ).
thf(755,plain,
! [SV34: set_val,SV53: val > $o,SV12: set_val] :
( ( ( member_val @ ( sK7_SY139 @ SV12 @ SV53 @ SV34 ) @ SV34 )
= $true )
| ( ( SV53 @ ( sK6_SY138 @ SV34 @ SV53 @ SV12 ) )
= $false )
| ( ( ~ ( ~ ! [SY137: val] :
( ~ ( member_val @ SY137 @ ( sup_sup_set_val @ SV12 @ SV34 ) )
| ( SV53 @ SY137 ) )
| ~ ~ ( ~ ! [SY138: val] :
( ~ ( member_val @ SY138 @ SV12 )
| ( SV53 @ SY138 ) )
| ~ ! [SY139: val] :
( ~ ( member_val @ SY139 @ SV34 )
| ( SV53 @ SY139 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[739]) ).
thf(756,plain,
! [SV53: val > $o,SV34: set_val,SV12: set_val] :
( ( ( ~ ! [SY137: val] :
( ~ ( member_val @ SY137 @ ( sup_sup_set_val @ SV12 @ SV34 ) )
| ( SV53 @ SY137 ) )
| ~ ~ ( ~ ! [SY138: val] :
( ~ ( member_val @ SY138 @ SV12 )
| ( SV53 @ SY138 ) )
| ~ ! [SY139: val] :
( ~ ( member_val @ SY139 @ SV34 )
| ( SV53 @ SY139 ) ) ) )
= $false )
| ( ( SV53 @ ( sK6_SY138 @ SV34 @ SV53 @ SV12 ) )
= $false )
| ( ( SV53 @ ( sK7_SY139 @ SV12 @ SV53 @ SV34 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[740]) ).
thf(757,plain,
! [SV71: val,SV57: val > $o,SV39: set_val,SV17: set_val] :
( ( ( ~ ~ ! [SY140: val] :
~ ~ ( ~ ( member_val @ SY140 @ ( sup_sup_set_val @ SV17 @ SV39 ) )
| ~ ( SV57 @ SY140 ) ) )
= $false )
| ( ( member_val @ SV71 @ ( sup_sup_set_val @ SV17 @ SV39 ) )
= $false )
| ( ( SV57 @ SV71 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[741]) ).
thf(758,plain,
! [SV71: val,SV39: set_val,SV57: val > $o,SV17: set_val] :
( ( ( ~ ( ~ ! [SY141: val] :
~ ~ ( ~ ( member_val @ SY141 @ SV17 )
| ~ ( SV57 @ SY141 ) )
| ~ ! [SY142: val] :
~ ~ ( ~ ( member_val @ SY142 @ SV39 )
| ~ ( SV57 @ SY142 ) ) ) )
= $false )
| ( ( member_val @ SV71 @ ( sup_sup_set_val @ SV17 @ SV39 ) )
= $false )
| ( ( SV57 @ SV71 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[741]) ).
thf(759,plain,
! [SV73: val,SV57: val > $o,SV39: set_val,SV17: set_val] :
( ( ( ~ ~ ! [SY140: val] :
~ ~ ( ~ ( member_val @ SY140 @ ( sup_sup_set_val @ SV17 @ SV39 ) )
| ~ ( SV57 @ SY140 ) )
| ~ ( ~ ! [SY141: val] :
~ ~ ( ~ ( member_val @ SY141 @ SV17 )
| ~ ( SV57 @ SY141 ) )
| ~ ! [SY142: val] :
~ ~ ( ~ ( member_val @ SY142 @ SV39 )
| ~ ( SV57 @ SY142 ) ) ) )
= $false )
| ( ( member_val @ SV73 @ SV17 )
= $false )
| ( ( SV57 @ SV73 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[742]) ).
thf(760,plain,
! [SV74: val,SV57: val > $o,SV39: set_val,SV17: set_val] :
( ( ( ~ ~ ! [SY140: val] :
~ ~ ( ~ ( member_val @ SY140 @ ( sup_sup_set_val @ SV17 @ SV39 ) )
| ~ ( SV57 @ SY140 ) )
| ~ ( ~ ! [SY141: val] :
~ ~ ( ~ ( member_val @ SY141 @ SV17 )
| ~ ( SV57 @ SY141 ) )
| ~ ! [SY142: val] :
~ ~ ( ~ ( member_val @ SY142 @ SV39 )
| ~ ( SV57 @ SY142 ) ) ) )
= $false )
| ( ( member_val @ SV74 @ SV39 )
= $false )
| ( ( SV57 @ SV74 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[743]) ).
thf(761,plain,
! [SV65: set_val,SV43: set_val,SV84: val] :
( ( ( ~ ( member_val @ SV84 @ SV43 ) )
= $true )
| ( ( member_val @ SV84 @ SV65 )
= $true )
| ( ( member_val @ ( sK5_SY145 @ SV65 @ SV43 ) @ SV43 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[744]) ).
thf(762,plain,
! [SV65: set_val,SV43: set_val,SV82: val] :
( ( ( member_val @ SV82 @ SV43 )
= $false )
| ( ( member_val @ SV82 @ SV65 )
= $true )
| ( ( member_val @ ( sK5_SY145 @ SV65 @ SV43 ) @ SV65 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[745]) ).
thf(763,plain,
! [SV64: set_val,SV30: set_val,SV83: val] :
( ( ( member_val @ SV83 @ SV30 )
= $false )
| ( ( member_val @ SV83 @ SV64 )
= $true )
| ( ( member_val @ ( sK4_SY144 @ SV64 @ SV30 ) @ SV30 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[746]) ).
thf(764,plain,
! [SV34: set_val,SV53: val > $o,SV12: set_val,SV87: val] :
( ( ( ~ ( member_val @ SV87 @ SV12 )
| ( SV53 @ SV87 ) )
= $true )
| ( ( member_val @ ( sK3_SY137 @ SV53 @ SV34 @ SV12 ) @ ( sup_sup_set_val @ SV12 @ SV34 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[749]) ).
thf(765,plain,
! [SV12: set_val,SV53: val > $o,SV34: set_val,SV88: val] :
( ( ( ~ ( member_val @ SV88 @ SV34 )
| ( SV53 @ SV88 ) )
= $true )
| ( ( member_val @ ( sK3_SY137 @ SV53 @ SV34 @ SV12 ) @ ( sup_sup_set_val @ SV12 @ SV34 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[750]) ).
thf(766,plain,
! [SV34: set_val,SV53: val > $o,SV12: set_val,SV85: val] :
( ( ( ~ ( member_val @ SV85 @ SV12 ) )
= $true )
| ( ( SV53 @ SV85 )
= $true )
| ( ( SV53 @ ( sK3_SY137 @ SV53 @ SV34 @ SV12 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[751]) ).
thf(767,plain,
! [SV12: set_val,SV53: val > $o,SV34: set_val,SV86: val] :
( ( ( ~ ( member_val @ SV86 @ SV34 ) )
= $true )
| ( ( SV53 @ SV86 )
= $true )
| ( ( SV53 @ ( sK3_SY137 @ SV53 @ SV34 @ SV12 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[752]) ).
thf(768,plain,
! [SV34: set_val,SV53: val > $o,SV12: set_val] :
( ( ( member_val @ ( sK8_SY139 @ SV12 @ SV53 @ SV34 ) @ SV34 )
= $true )
| ( ( member_val @ ( sK6_SY138 @ SV34 @ SV53 @ SV12 ) @ SV12 )
= $true )
| ( ( ~ ( ~ ! [SY137: val] :
( ~ ( member_val @ SY137 @ ( sup_sup_set_val @ SV12 @ SV34 ) )
| ( SV53 @ SY137 ) )
| ~ ~ ( ~ ! [SY138: val] :
( ~ ( member_val @ SY138 @ SV12 )
| ( SV53 @ SY138 ) )
| ~ ! [SY139: val] :
( ~ ( member_val @ SY139 @ SV34 )
| ( SV53 @ SY139 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[753]) ).
thf(769,plain,
! [SV53: val > $o,SV34: set_val,SV12: set_val] :
( ( ( ~ ! [SY137: val] :
( ~ ( member_val @ SY137 @ ( sup_sup_set_val @ SV12 @ SV34 ) )
| ( SV53 @ SY137 ) )
| ~ ~ ( ~ ! [SY138: val] :
( ~ ( member_val @ SY138 @ SV12 )
| ( SV53 @ SY138 ) )
| ~ ! [SY139: val] :
( ~ ( member_val @ SY139 @ SV34 )
| ( SV53 @ SY139 ) ) ) )
= $false )
| ( ( member_val @ ( sK6_SY138 @ SV34 @ SV53 @ SV12 ) @ SV12 )
= $true )
| ( ( SV53 @ ( sK8_SY139 @ SV12 @ SV53 @ SV34 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[754]) ).
thf(770,plain,
! [SV53: val > $o,SV34: set_val,SV12: set_val] :
( ( ( ~ ! [SY137: val] :
( ~ ( member_val @ SY137 @ ( sup_sup_set_val @ SV12 @ SV34 ) )
| ( SV53 @ SY137 ) )
| ~ ~ ( ~ ! [SY138: val] :
( ~ ( member_val @ SY138 @ SV12 )
| ( SV53 @ SY138 ) )
| ~ ! [SY139: val] :
( ~ ( member_val @ SY139 @ SV34 )
| ( SV53 @ SY139 ) ) ) )
= $false )
| ( ( SV53 @ ( sK6_SY138 @ SV34 @ SV53 @ SV12 ) )
= $false )
| ( ( member_val @ ( sK7_SY139 @ SV12 @ SV53 @ SV34 ) @ SV34 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[755]) ).
thf(771,plain,
! [SV53: val > $o,SV34: set_val,SV12: set_val] :
( ( ( ~ ! [SY137: val] :
( ~ ( member_val @ SY137 @ ( sup_sup_set_val @ SV12 @ SV34 ) )
| ( SV53 @ SY137 ) ) )
= $false )
| ( ( SV53 @ ( sK6_SY138 @ SV34 @ SV53 @ SV12 ) )
= $false )
| ( ( SV53 @ ( sK7_SY139 @ SV12 @ SV53 @ SV34 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[756]) ).
thf(772,plain,
! [SV34: set_val,SV53: val > $o,SV12: set_val] :
( ( ( ~ ~ ( ~ ! [SY138: val] :
( ~ ( member_val @ SY138 @ SV12 )
| ( SV53 @ SY138 ) )
| ~ ! [SY139: val] :
( ~ ( member_val @ SY139 @ SV34 )
| ( SV53 @ SY139 ) ) ) )
= $false )
| ( ( SV53 @ ( sK6_SY138 @ SV34 @ SV53 @ SV12 ) )
= $false )
| ( ( SV53 @ ( sK7_SY139 @ SV12 @ SV53 @ SV34 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[756]) ).
thf(773,plain,
! [SV71: val,SV57: val > $o,SV39: set_val,SV17: set_val] :
( ( ( ~ ! [SY140: val] :
~ ~ ( ~ ( member_val @ SY140 @ ( sup_sup_set_val @ SV17 @ SV39 ) )
| ~ ( SV57 @ SY140 ) ) )
= $true )
| ( ( member_val @ SV71 @ ( sup_sup_set_val @ SV17 @ SV39 ) )
= $false )
| ( ( SV57 @ SV71 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[757]) ).
thf(774,plain,
! [SV71: val,SV39: set_val,SV57: val > $o,SV17: set_val] :
( ( ( ~ ! [SY141: val] :
~ ~ ( ~ ( member_val @ SY141 @ SV17 )
| ~ ( SV57 @ SY141 ) )
| ~ ! [SY142: val] :
~ ~ ( ~ ( member_val @ SY142 @ SV39 )
| ~ ( SV57 @ SY142 ) ) )
= $true )
| ( ( member_val @ SV71 @ ( sup_sup_set_val @ SV17 @ SV39 ) )
= $false )
| ( ( SV57 @ SV71 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[758]) ).
thf(775,plain,
! [SV73: val,SV57: val > $o,SV39: set_val,SV17: set_val] :
( ( ( ~ ~ ! [SY140: val] :
~ ~ ( ~ ( member_val @ SY140 @ ( sup_sup_set_val @ SV17 @ SV39 ) )
| ~ ( SV57 @ SY140 ) ) )
= $false )
| ( ( member_val @ SV73 @ SV17 )
= $false )
| ( ( SV57 @ SV73 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[759]) ).
thf(776,plain,
! [SV73: val,SV39: set_val,SV57: val > $o,SV17: set_val] :
( ( ( ~ ( ~ ! [SY141: val] :
~ ~ ( ~ ( member_val @ SY141 @ SV17 )
| ~ ( SV57 @ SY141 ) )
| ~ ! [SY142: val] :
~ ~ ( ~ ( member_val @ SY142 @ SV39 )
| ~ ( SV57 @ SY142 ) ) ) )
= $false )
| ( ( member_val @ SV73 @ SV17 )
= $false )
| ( ( SV57 @ SV73 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[759]) ).
thf(777,plain,
! [SV74: val,SV57: val > $o,SV39: set_val,SV17: set_val] :
( ( ( ~ ~ ! [SY140: val] :
~ ~ ( ~ ( member_val @ SY140 @ ( sup_sup_set_val @ SV17 @ SV39 ) )
| ~ ( SV57 @ SY140 ) ) )
= $false )
| ( ( member_val @ SV74 @ SV39 )
= $false )
| ( ( SV57 @ SV74 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[760]) ).
thf(778,plain,
! [SV74: val,SV39: set_val,SV57: val > $o,SV17: set_val] :
( ( ( ~ ( ~ ! [SY141: val] :
~ ~ ( ~ ( member_val @ SY141 @ SV17 )
| ~ ( SV57 @ SY141 ) )
| ~ ! [SY142: val] :
~ ~ ( ~ ( member_val @ SY142 @ SV39 )
| ~ ( SV57 @ SY142 ) ) ) )
= $false )
| ( ( member_val @ SV74 @ SV39 )
= $false )
| ( ( SV57 @ SV74 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[760]) ).
thf(779,plain,
! [SV65: set_val,SV43: set_val,SV84: val] :
( ( ( member_val @ SV84 @ SV43 )
= $false )
| ( ( member_val @ SV84 @ SV65 )
= $true )
| ( ( member_val @ ( sK5_SY145 @ SV65 @ SV43 ) @ SV43 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[761]) ).
thf(780,plain,
! [SV34: set_val,SV53: val > $o,SV12: set_val,SV87: val] :
( ( ( ~ ( member_val @ SV87 @ SV12 ) )
= $true )
| ( ( SV53 @ SV87 )
= $true )
| ( ( member_val @ ( sK3_SY137 @ SV53 @ SV34 @ SV12 ) @ ( sup_sup_set_val @ SV12 @ SV34 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[764]) ).
thf(781,plain,
! [SV12: set_val,SV53: val > $o,SV34: set_val,SV88: val] :
( ( ( ~ ( member_val @ SV88 @ SV34 ) )
= $true )
| ( ( SV53 @ SV88 )
= $true )
| ( ( member_val @ ( sK3_SY137 @ SV53 @ SV34 @ SV12 ) @ ( sup_sup_set_val @ SV12 @ SV34 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[765]) ).
thf(782,plain,
! [SV34: set_val,SV53: val > $o,SV12: set_val,SV85: val] :
( ( ( member_val @ SV85 @ SV12 )
= $false )
| ( ( SV53 @ SV85 )
= $true )
| ( ( SV53 @ ( sK3_SY137 @ SV53 @ SV34 @ SV12 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[766]) ).
thf(783,plain,
! [SV12: set_val,SV53: val > $o,SV34: set_val,SV86: val] :
( ( ( member_val @ SV86 @ SV34 )
= $false )
| ( ( SV53 @ SV86 )
= $true )
| ( ( SV53 @ ( sK3_SY137 @ SV53 @ SV34 @ SV12 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[767]) ).
thf(784,plain,
! [SV53: val > $o,SV34: set_val,SV12: set_val] :
( ( ( ~ ! [SY137: val] :
( ~ ( member_val @ SY137 @ ( sup_sup_set_val @ SV12 @ SV34 ) )
| ( SV53 @ SY137 ) )
| ~ ~ ( ~ ! [SY138: val] :
( ~ ( member_val @ SY138 @ SV12 )
| ( SV53 @ SY138 ) )
| ~ ! [SY139: val] :
( ~ ( member_val @ SY139 @ SV34 )
| ( SV53 @ SY139 ) ) ) )
= $false )
| ( ( member_val @ ( sK6_SY138 @ SV34 @ SV53 @ SV12 ) @ SV12 )
= $true )
| ( ( member_val @ ( sK8_SY139 @ SV12 @ SV53 @ SV34 ) @ SV34 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[768]) ).
thf(785,plain,
! [SV53: val > $o,SV34: set_val,SV12: set_val] :
( ( ( ~ ! [SY137: val] :
( ~ ( member_val @ SY137 @ ( sup_sup_set_val @ SV12 @ SV34 ) )
| ( SV53 @ SY137 ) ) )
= $false )
| ( ( member_val @ ( sK6_SY138 @ SV34 @ SV53 @ SV12 ) @ SV12 )
= $true )
| ( ( SV53 @ ( sK8_SY139 @ SV12 @ SV53 @ SV34 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[769]) ).
thf(786,plain,
! [SV34: set_val,SV53: val > $o,SV12: set_val] :
( ( ( ~ ~ ( ~ ! [SY138: val] :
( ~ ( member_val @ SY138 @ SV12 )
| ( SV53 @ SY138 ) )
| ~ ! [SY139: val] :
( ~ ( member_val @ SY139 @ SV34 )
| ( SV53 @ SY139 ) ) ) )
= $false )
| ( ( member_val @ ( sK6_SY138 @ SV34 @ SV53 @ SV12 ) @ SV12 )
= $true )
| ( ( SV53 @ ( sK8_SY139 @ SV12 @ SV53 @ SV34 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[769]) ).
thf(787,plain,
! [SV53: val > $o,SV34: set_val,SV12: set_val] :
( ( ( ~ ! [SY137: val] :
( ~ ( member_val @ SY137 @ ( sup_sup_set_val @ SV12 @ SV34 ) )
| ( SV53 @ SY137 ) ) )
= $false )
| ( ( SV53 @ ( sK6_SY138 @ SV34 @ SV53 @ SV12 ) )
= $false )
| ( ( member_val @ ( sK7_SY139 @ SV12 @ SV53 @ SV34 ) @ SV34 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[770]) ).
thf(788,plain,
! [SV34: set_val,SV53: val > $o,SV12: set_val] :
( ( ( ~ ~ ( ~ ! [SY138: val] :
( ~ ( member_val @ SY138 @ SV12 )
| ( SV53 @ SY138 ) )
| ~ ! [SY139: val] :
( ~ ( member_val @ SY139 @ SV34 )
| ( SV53 @ SY139 ) ) ) )
= $false )
| ( ( SV53 @ ( sK6_SY138 @ SV34 @ SV53 @ SV12 ) )
= $false )
| ( ( member_val @ ( sK7_SY139 @ SV12 @ SV53 @ SV34 ) @ SV34 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[770]) ).
thf(789,plain,
! [SV53: val > $o,SV34: set_val,SV12: set_val] :
( ( ( ! [SY137: val] :
( ~ ( member_val @ SY137 @ ( sup_sup_set_val @ SV12 @ SV34 ) )
| ( SV53 @ SY137 ) ) )
= $true )
| ( ( SV53 @ ( sK6_SY138 @ SV34 @ SV53 @ SV12 ) )
= $false )
| ( ( SV53 @ ( sK7_SY139 @ SV12 @ SV53 @ SV34 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[771]) ).
thf(790,plain,
! [SV34: set_val,SV53: val > $o,SV12: set_val] :
( ( ( ~ ( ~ ! [SY138: val] :
( ~ ( member_val @ SY138 @ SV12 )
| ( SV53 @ SY138 ) )
| ~ ! [SY139: val] :
( ~ ( member_val @ SY139 @ SV34 )
| ( SV53 @ SY139 ) ) ) )
= $true )
| ( ( SV53 @ ( sK6_SY138 @ SV34 @ SV53 @ SV12 ) )
= $false )
| ( ( SV53 @ ( sK7_SY139 @ SV12 @ SV53 @ SV34 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[772]) ).
thf(791,plain,
! [SV71: val,SV57: val > $o,SV39: set_val,SV17: set_val] :
( ( ( ! [SY140: val] :
~ ~ ( ~ ( member_val @ SY140 @ ( sup_sup_set_val @ SV17 @ SV39 ) )
| ~ ( SV57 @ SY140 ) ) )
= $false )
| ( ( member_val @ SV71 @ ( sup_sup_set_val @ SV17 @ SV39 ) )
= $false )
| ( ( SV57 @ SV71 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[773]) ).
thf(792,plain,
! [SV71: val,SV39: set_val,SV57: val > $o,SV17: set_val] :
( ( ( ~ ! [SY141: val] :
~ ~ ( ~ ( member_val @ SY141 @ SV17 )
| ~ ( SV57 @ SY141 ) ) )
= $true )
| ( ( ~ ! [SY142: val] :
~ ~ ( ~ ( member_val @ SY142 @ SV39 )
| ~ ( SV57 @ SY142 ) ) )
= $true )
| ( ( member_val @ SV71 @ ( sup_sup_set_val @ SV17 @ SV39 ) )
= $false )
| ( ( SV57 @ SV71 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[774]) ).
thf(793,plain,
! [SV73: val,SV57: val > $o,SV39: set_val,SV17: set_val] :
( ( ( ~ ! [SY140: val] :
~ ~ ( ~ ( member_val @ SY140 @ ( sup_sup_set_val @ SV17 @ SV39 ) )
| ~ ( SV57 @ SY140 ) ) )
= $true )
| ( ( member_val @ SV73 @ SV17 )
= $false )
| ( ( SV57 @ SV73 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[775]) ).
thf(794,plain,
! [SV73: val,SV39: set_val,SV57: val > $o,SV17: set_val] :
( ( ( ~ ! [SY141: val] :
~ ~ ( ~ ( member_val @ SY141 @ SV17 )
| ~ ( SV57 @ SY141 ) )
| ~ ! [SY142: val] :
~ ~ ( ~ ( member_val @ SY142 @ SV39 )
| ~ ( SV57 @ SY142 ) ) )
= $true )
| ( ( member_val @ SV73 @ SV17 )
= $false )
| ( ( SV57 @ SV73 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[776]) ).
thf(795,plain,
! [SV74: val,SV57: val > $o,SV39: set_val,SV17: set_val] :
( ( ( ~ ! [SY140: val] :
~ ~ ( ~ ( member_val @ SY140 @ ( sup_sup_set_val @ SV17 @ SV39 ) )
| ~ ( SV57 @ SY140 ) ) )
= $true )
| ( ( member_val @ SV74 @ SV39 )
= $false )
| ( ( SV57 @ SV74 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[777]) ).
thf(796,plain,
! [SV74: val,SV39: set_val,SV57: val > $o,SV17: set_val] :
( ( ( ~ ! [SY141: val] :
~ ~ ( ~ ( member_val @ SY141 @ SV17 )
| ~ ( SV57 @ SY141 ) )
| ~ ! [SY142: val] :
~ ~ ( ~ ( member_val @ SY142 @ SV39 )
| ~ ( SV57 @ SY142 ) ) )
= $true )
| ( ( member_val @ SV74 @ SV39 )
= $false )
| ( ( SV57 @ SV74 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[778]) ).
thf(797,plain,
! [SV34: set_val,SV53: val > $o,SV12: set_val,SV87: val] :
( ( ( member_val @ SV87 @ SV12 )
= $false )
| ( ( SV53 @ SV87 )
= $true )
| ( ( member_val @ ( sK3_SY137 @ SV53 @ SV34 @ SV12 ) @ ( sup_sup_set_val @ SV12 @ SV34 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[780]) ).
thf(798,plain,
! [SV12: set_val,SV53: val > $o,SV34: set_val,SV88: val] :
( ( ( member_val @ SV88 @ SV34 )
= $false )
| ( ( SV53 @ SV88 )
= $true )
| ( ( member_val @ ( sK3_SY137 @ SV53 @ SV34 @ SV12 ) @ ( sup_sup_set_val @ SV12 @ SV34 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[781]) ).
thf(799,plain,
! [SV53: val > $o,SV34: set_val,SV12: set_val] :
( ( ( ~ ! [SY137: val] :
( ~ ( member_val @ SY137 @ ( sup_sup_set_val @ SV12 @ SV34 ) )
| ( SV53 @ SY137 ) ) )
= $false )
| ( ( member_val @ ( sK6_SY138 @ SV34 @ SV53 @ SV12 ) @ SV12 )
= $true )
| ( ( member_val @ ( sK8_SY139 @ SV12 @ SV53 @ SV34 ) @ SV34 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[784]) ).
thf(800,plain,
! [SV34: set_val,SV53: val > $o,SV12: set_val] :
( ( ( ~ ~ ( ~ ! [SY138: val] :
( ~ ( member_val @ SY138 @ SV12 )
| ( SV53 @ SY138 ) )
| ~ ! [SY139: val] :
( ~ ( member_val @ SY139 @ SV34 )
| ( SV53 @ SY139 ) ) ) )
= $false )
| ( ( member_val @ ( sK6_SY138 @ SV34 @ SV53 @ SV12 ) @ SV12 )
= $true )
| ( ( member_val @ ( sK8_SY139 @ SV12 @ SV53 @ SV34 ) @ SV34 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[784]) ).
thf(801,plain,
! [SV53: val > $o,SV34: set_val,SV12: set_val] :
( ( ( ! [SY137: val] :
( ~ ( member_val @ SY137 @ ( sup_sup_set_val @ SV12 @ SV34 ) )
| ( SV53 @ SY137 ) ) )
= $true )
| ( ( member_val @ ( sK6_SY138 @ SV34 @ SV53 @ SV12 ) @ SV12 )
= $true )
| ( ( SV53 @ ( sK8_SY139 @ SV12 @ SV53 @ SV34 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[785]) ).
thf(802,plain,
! [SV34: set_val,SV53: val > $o,SV12: set_val] :
( ( ( ~ ( ~ ! [SY138: val] :
( ~ ( member_val @ SY138 @ SV12 )
| ( SV53 @ SY138 ) )
| ~ ! [SY139: val] :
( ~ ( member_val @ SY139 @ SV34 )
| ( SV53 @ SY139 ) ) ) )
= $true )
| ( ( member_val @ ( sK6_SY138 @ SV34 @ SV53 @ SV12 ) @ SV12 )
= $true )
| ( ( SV53 @ ( sK8_SY139 @ SV12 @ SV53 @ SV34 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[786]) ).
thf(803,plain,
! [SV53: val > $o,SV34: set_val,SV12: set_val] :
( ( ( ! [SY137: val] :
( ~ ( member_val @ SY137 @ ( sup_sup_set_val @ SV12 @ SV34 ) )
| ( SV53 @ SY137 ) ) )
= $true )
| ( ( SV53 @ ( sK6_SY138 @ SV34 @ SV53 @ SV12 ) )
= $false )
| ( ( member_val @ ( sK7_SY139 @ SV12 @ SV53 @ SV34 ) @ SV34 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[787]) ).
thf(804,plain,
! [SV34: set_val,SV53: val > $o,SV12: set_val] :
( ( ( ~ ( ~ ! [SY138: val] :
( ~ ( member_val @ SY138 @ SV12 )
| ( SV53 @ SY138 ) )
| ~ ! [SY139: val] :
( ~ ( member_val @ SY139 @ SV34 )
| ( SV53 @ SY139 ) ) ) )
= $true )
| ( ( SV53 @ ( sK6_SY138 @ SV34 @ SV53 @ SV12 ) )
= $false )
| ( ( member_val @ ( sK7_SY139 @ SV12 @ SV53 @ SV34 ) @ SV34 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[788]) ).
thf(805,plain,
! [SV53: val > $o,SV34: set_val,SV12: set_val,SV89: val] :
( ( ( ~ ( member_val @ SV89 @ ( sup_sup_set_val @ SV12 @ SV34 ) )
| ( SV53 @ SV89 ) )
= $true )
| ( ( SV53 @ ( sK6_SY138 @ SV34 @ SV53 @ SV12 ) )
= $false )
| ( ( SV53 @ ( sK7_SY139 @ SV12 @ SV53 @ SV34 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[789]) ).
thf(806,plain,
! [SV34: set_val,SV53: val > $o,SV12: set_val] :
( ( ( ~ ! [SY138: val] :
( ~ ( member_val @ SY138 @ SV12 )
| ( SV53 @ SY138 ) )
| ~ ! [SY139: val] :
( ~ ( member_val @ SY139 @ SV34 )
| ( SV53 @ SY139 ) ) )
= $false )
| ( ( SV53 @ ( sK6_SY138 @ SV34 @ SV53 @ SV12 ) )
= $false )
| ( ( SV53 @ ( sK7_SY139 @ SV12 @ SV53 @ SV34 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[790]) ).
thf(807,plain,
! [SV17: set_val,SV39: set_val,SV57: val > $o,SV71: val] :
( ( ( ~ ~ ( ~ ( member_val @ ( sK9_SY140 @ SV71 @ SV57 @ SV39 @ SV17 ) @ ( sup_sup_set_val @ SV17 @ SV39 ) )
| ~ ( SV57 @ ( sK9_SY140 @ SV71 @ SV57 @ SV39 @ SV17 ) ) ) )
= $false )
| ( ( member_val @ SV71 @ ( sup_sup_set_val @ SV17 @ SV39 ) )
= $false )
| ( ( SV57 @ SV71 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[791]) ).
thf(808,plain,
! [SV71: val,SV39: set_val,SV57: val > $o,SV17: set_val] :
( ( ( ! [SY141: val] :
~ ~ ( ~ ( member_val @ SY141 @ SV17 )
| ~ ( SV57 @ SY141 ) ) )
= $false )
| ( ( ~ ! [SY142: val] :
~ ~ ( ~ ( member_val @ SY142 @ SV39 )
| ~ ( SV57 @ SY142 ) ) )
= $true )
| ( ( member_val @ SV71 @ ( sup_sup_set_val @ SV17 @ SV39 ) )
= $false )
| ( ( SV57 @ SV71 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[792]) ).
thf(809,plain,
! [SV73: val,SV57: val > $o,SV39: set_val,SV17: set_val] :
( ( ( ! [SY140: val] :
~ ~ ( ~ ( member_val @ SY140 @ ( sup_sup_set_val @ SV17 @ SV39 ) )
| ~ ( SV57 @ SY140 ) ) )
= $false )
| ( ( member_val @ SV73 @ SV17 )
= $false )
| ( ( SV57 @ SV73 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[793]) ).
thf(810,plain,
! [SV73: val,SV39: set_val,SV57: val > $o,SV17: set_val] :
( ( ( ~ ! [SY141: val] :
~ ~ ( ~ ( member_val @ SY141 @ SV17 )
| ~ ( SV57 @ SY141 ) ) )
= $true )
| ( ( ~ ! [SY142: val] :
~ ~ ( ~ ( member_val @ SY142 @ SV39 )
| ~ ( SV57 @ SY142 ) ) )
= $true )
| ( ( member_val @ SV73 @ SV17 )
= $false )
| ( ( SV57 @ SV73 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[794]) ).
thf(811,plain,
! [SV74: val,SV57: val > $o,SV39: set_val,SV17: set_val] :
( ( ( ! [SY140: val] :
~ ~ ( ~ ( member_val @ SY140 @ ( sup_sup_set_val @ SV17 @ SV39 ) )
| ~ ( SV57 @ SY140 ) ) )
= $false )
| ( ( member_val @ SV74 @ SV39 )
= $false )
| ( ( SV57 @ SV74 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[795]) ).
thf(812,plain,
! [SV74: val,SV39: set_val,SV57: val > $o,SV17: set_val] :
( ( ( ~ ! [SY141: val] :
~ ~ ( ~ ( member_val @ SY141 @ SV17 )
| ~ ( SV57 @ SY141 ) ) )
= $true )
| ( ( ~ ! [SY142: val] :
~ ~ ( ~ ( member_val @ SY142 @ SV39 )
| ~ ( SV57 @ SY142 ) ) )
= $true )
| ( ( member_val @ SV74 @ SV39 )
= $false )
| ( ( SV57 @ SV74 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[796]) ).
thf(813,plain,
! [SV53: val > $o,SV34: set_val,SV12: set_val] :
( ( ( ! [SY137: val] :
( ~ ( member_val @ SY137 @ ( sup_sup_set_val @ SV12 @ SV34 ) )
| ( SV53 @ SY137 ) ) )
= $true )
| ( ( member_val @ ( sK6_SY138 @ SV34 @ SV53 @ SV12 ) @ SV12 )
= $true )
| ( ( member_val @ ( sK8_SY139 @ SV12 @ SV53 @ SV34 ) @ SV34 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[799]) ).
thf(814,plain,
! [SV34: set_val,SV53: val > $o,SV12: set_val] :
( ( ( ~ ( ~ ! [SY138: val] :
( ~ ( member_val @ SY138 @ SV12 )
| ( SV53 @ SY138 ) )
| ~ ! [SY139: val] :
( ~ ( member_val @ SY139 @ SV34 )
| ( SV53 @ SY139 ) ) ) )
= $true )
| ( ( member_val @ ( sK6_SY138 @ SV34 @ SV53 @ SV12 ) @ SV12 )
= $true )
| ( ( member_val @ ( sK8_SY139 @ SV12 @ SV53 @ SV34 ) @ SV34 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[800]) ).
thf(815,plain,
! [SV53: val > $o,SV34: set_val,SV12: set_val,SV90: val] :
( ( ( ~ ( member_val @ SV90 @ ( sup_sup_set_val @ SV12 @ SV34 ) )
| ( SV53 @ SV90 ) )
= $true )
| ( ( member_val @ ( sK6_SY138 @ SV34 @ SV53 @ SV12 ) @ SV12 )
= $true )
| ( ( SV53 @ ( sK8_SY139 @ SV12 @ SV53 @ SV34 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[801]) ).
thf(816,plain,
! [SV34: set_val,SV53: val > $o,SV12: set_val] :
( ( ( ~ ! [SY138: val] :
( ~ ( member_val @ SY138 @ SV12 )
| ( SV53 @ SY138 ) )
| ~ ! [SY139: val] :
( ~ ( member_val @ SY139 @ SV34 )
| ( SV53 @ SY139 ) ) )
= $false )
| ( ( member_val @ ( sK6_SY138 @ SV34 @ SV53 @ SV12 ) @ SV12 )
= $true )
| ( ( SV53 @ ( sK8_SY139 @ SV12 @ SV53 @ SV34 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[802]) ).
thf(817,plain,
! [SV53: val > $o,SV34: set_val,SV12: set_val,SV91: val] :
( ( ( ~ ( member_val @ SV91 @ ( sup_sup_set_val @ SV12 @ SV34 ) )
| ( SV53 @ SV91 ) )
= $true )
| ( ( SV53 @ ( sK6_SY138 @ SV34 @ SV53 @ SV12 ) )
= $false )
| ( ( member_val @ ( sK7_SY139 @ SV12 @ SV53 @ SV34 ) @ SV34 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[803]) ).
thf(818,plain,
! [SV34: set_val,SV53: val > $o,SV12: set_val] :
( ( ( ~ ! [SY138: val] :
( ~ ( member_val @ SY138 @ SV12 )
| ( SV53 @ SY138 ) )
| ~ ! [SY139: val] :
( ~ ( member_val @ SY139 @ SV34 )
| ( SV53 @ SY139 ) ) )
= $false )
| ( ( SV53 @ ( sK6_SY138 @ SV34 @ SV53 @ SV12 ) )
= $false )
| ( ( member_val @ ( sK7_SY139 @ SV12 @ SV53 @ SV34 ) @ SV34 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[804]) ).
thf(819,plain,
! [SV53: val > $o,SV34: set_val,SV12: set_val,SV89: val] :
( ( ( ~ ( member_val @ SV89 @ ( sup_sup_set_val @ SV12 @ SV34 ) ) )
= $true )
| ( ( SV53 @ SV89 )
= $true )
| ( ( SV53 @ ( sK6_SY138 @ SV34 @ SV53 @ SV12 ) )
= $false )
| ( ( SV53 @ ( sK7_SY139 @ SV12 @ SV53 @ SV34 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[805]) ).
thf(820,plain,
! [SV34: set_val,SV53: val > $o,SV12: set_val] :
( ( ( ~ ! [SY138: val] :
( ~ ( member_val @ SY138 @ SV12 )
| ( SV53 @ SY138 ) ) )
= $false )
| ( ( SV53 @ ( sK6_SY138 @ SV34 @ SV53 @ SV12 ) )
= $false )
| ( ( SV53 @ ( sK7_SY139 @ SV12 @ SV53 @ SV34 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[806]) ).
thf(821,plain,
! [SV12: set_val,SV53: val > $o,SV34: set_val] :
( ( ( ~ ! [SY139: val] :
( ~ ( member_val @ SY139 @ SV34 )
| ( SV53 @ SY139 ) ) )
= $false )
| ( ( SV53 @ ( sK6_SY138 @ SV34 @ SV53 @ SV12 ) )
= $false )
| ( ( SV53 @ ( sK7_SY139 @ SV12 @ SV53 @ SV34 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[806]) ).
thf(822,plain,
! [SV17: set_val,SV39: set_val,SV57: val > $o,SV71: val] :
( ( ( ~ ( ~ ( member_val @ ( sK9_SY140 @ SV71 @ SV57 @ SV39 @ SV17 ) @ ( sup_sup_set_val @ SV17 @ SV39 ) )
| ~ ( SV57 @ ( sK9_SY140 @ SV71 @ SV57 @ SV39 @ SV17 ) ) ) )
= $true )
| ( ( member_val @ SV71 @ ( sup_sup_set_val @ SV17 @ SV39 ) )
= $false )
| ( ( SV57 @ SV71 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[807]) ).
thf(823,plain,
! [SV17: set_val,SV57: val > $o,SV39: set_val,SV71: val] :
( ( ( ~ ~ ( ~ ( member_val @ ( sK10_SY141 @ SV71 @ SV39 @ SV57 @ SV17 ) @ SV17 )
| ~ ( SV57 @ ( sK10_SY141 @ SV71 @ SV39 @ SV57 @ SV17 ) ) ) )
= $false )
| ( ( ~ ! [SY142: val] :
~ ~ ( ~ ( member_val @ SY142 @ SV39 )
| ~ ( SV57 @ SY142 ) ) )
= $true )
| ( ( member_val @ SV71 @ ( sup_sup_set_val @ SV17 @ SV39 ) )
= $false )
| ( ( SV57 @ SV71 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[808]) ).
thf(824,plain,
! [SV17: set_val,SV39: set_val,SV57: val > $o,SV73: val] :
( ( ( ~ ~ ( ~ ( member_val @ ( sK11_SY140 @ SV73 @ SV57 @ SV39 @ SV17 ) @ ( sup_sup_set_val @ SV17 @ SV39 ) )
| ~ ( SV57 @ ( sK11_SY140 @ SV73 @ SV57 @ SV39 @ SV17 ) ) ) )
= $false )
| ( ( member_val @ SV73 @ SV17 )
= $false )
| ( ( SV57 @ SV73 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[809]) ).
thf(825,plain,
! [SV73: val,SV39: set_val,SV57: val > $o,SV17: set_val] :
( ( ( ! [SY141: val] :
~ ~ ( ~ ( member_val @ SY141 @ SV17 )
| ~ ( SV57 @ SY141 ) ) )
= $false )
| ( ( ~ ! [SY142: val] :
~ ~ ( ~ ( member_val @ SY142 @ SV39 )
| ~ ( SV57 @ SY142 ) ) )
= $true )
| ( ( member_val @ SV73 @ SV17 )
= $false )
| ( ( SV57 @ SV73 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[810]) ).
thf(826,plain,
! [SV17: set_val,SV39: set_val,SV57: val > $o,SV74: val] :
( ( ( ~ ~ ( ~ ( member_val @ ( sK12_SY140 @ SV74 @ SV57 @ SV39 @ SV17 ) @ ( sup_sup_set_val @ SV17 @ SV39 ) )
| ~ ( SV57 @ ( sK12_SY140 @ SV74 @ SV57 @ SV39 @ SV17 ) ) ) )
= $false )
| ( ( member_val @ SV74 @ SV39 )
= $false )
| ( ( SV57 @ SV74 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[811]) ).
thf(827,plain,
! [SV74: val,SV39: set_val,SV57: val > $o,SV17: set_val] :
( ( ( ! [SY141: val] :
~ ~ ( ~ ( member_val @ SY141 @ SV17 )
| ~ ( SV57 @ SY141 ) ) )
= $false )
| ( ( ~ ! [SY142: val] :
~ ~ ( ~ ( member_val @ SY142 @ SV39 )
| ~ ( SV57 @ SY142 ) ) )
= $true )
| ( ( member_val @ SV74 @ SV39 )
= $false )
| ( ( SV57 @ SV74 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[812]) ).
thf(828,plain,
! [SV53: val > $o,SV34: set_val,SV12: set_val,SV92: val] :
( ( ( ~ ( member_val @ SV92 @ ( sup_sup_set_val @ SV12 @ SV34 ) )
| ( SV53 @ SV92 ) )
= $true )
| ( ( member_val @ ( sK6_SY138 @ SV34 @ SV53 @ SV12 ) @ SV12 )
= $true )
| ( ( member_val @ ( sK8_SY139 @ SV12 @ SV53 @ SV34 ) @ SV34 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[813]) ).
thf(829,plain,
! [SV34: set_val,SV53: val > $o,SV12: set_val] :
( ( ( ~ ! [SY138: val] :
( ~ ( member_val @ SY138 @ SV12 )
| ( SV53 @ SY138 ) )
| ~ ! [SY139: val] :
( ~ ( member_val @ SY139 @ SV34 )
| ( SV53 @ SY139 ) ) )
= $false )
| ( ( member_val @ ( sK6_SY138 @ SV34 @ SV53 @ SV12 ) @ SV12 )
= $true )
| ( ( member_val @ ( sK8_SY139 @ SV12 @ SV53 @ SV34 ) @ SV34 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[814]) ).
thf(830,plain,
! [SV53: val > $o,SV34: set_val,SV12: set_val,SV90: val] :
( ( ( ~ ( member_val @ SV90 @ ( sup_sup_set_val @ SV12 @ SV34 ) ) )
= $true )
| ( ( SV53 @ SV90 )
= $true )
| ( ( member_val @ ( sK6_SY138 @ SV34 @ SV53 @ SV12 ) @ SV12 )
= $true )
| ( ( SV53 @ ( sK8_SY139 @ SV12 @ SV53 @ SV34 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[815]) ).
thf(831,plain,
! [SV34: set_val,SV53: val > $o,SV12: set_val] :
( ( ( ~ ! [SY138: val] :
( ~ ( member_val @ SY138 @ SV12 )
| ( SV53 @ SY138 ) ) )
= $false )
| ( ( member_val @ ( sK6_SY138 @ SV34 @ SV53 @ SV12 ) @ SV12 )
= $true )
| ( ( SV53 @ ( sK8_SY139 @ SV12 @ SV53 @ SV34 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[816]) ).
thf(832,plain,
! [SV12: set_val,SV53: val > $o,SV34: set_val] :
( ( ( ~ ! [SY139: val] :
( ~ ( member_val @ SY139 @ SV34 )
| ( SV53 @ SY139 ) ) )
= $false )
| ( ( member_val @ ( sK6_SY138 @ SV34 @ SV53 @ SV12 ) @ SV12 )
= $true )
| ( ( SV53 @ ( sK8_SY139 @ SV12 @ SV53 @ SV34 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[816]) ).
thf(833,plain,
! [SV53: val > $o,SV34: set_val,SV12: set_val,SV91: val] :
( ( ( ~ ( member_val @ SV91 @ ( sup_sup_set_val @ SV12 @ SV34 ) ) )
= $true )
| ( ( SV53 @ SV91 )
= $true )
| ( ( SV53 @ ( sK6_SY138 @ SV34 @ SV53 @ SV12 ) )
= $false )
| ( ( member_val @ ( sK7_SY139 @ SV12 @ SV53 @ SV34 ) @ SV34 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[817]) ).
thf(834,plain,
! [SV34: set_val,SV53: val > $o,SV12: set_val] :
( ( ( ~ ! [SY138: val] :
( ~ ( member_val @ SY138 @ SV12 )
| ( SV53 @ SY138 ) ) )
= $false )
| ( ( SV53 @ ( sK6_SY138 @ SV34 @ SV53 @ SV12 ) )
= $false )
| ( ( member_val @ ( sK7_SY139 @ SV12 @ SV53 @ SV34 ) @ SV34 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[818]) ).
thf(835,plain,
! [SV12: set_val,SV53: val > $o,SV34: set_val] :
( ( ( ~ ! [SY139: val] :
( ~ ( member_val @ SY139 @ SV34 )
| ( SV53 @ SY139 ) ) )
= $false )
| ( ( SV53 @ ( sK6_SY138 @ SV34 @ SV53 @ SV12 ) )
= $false )
| ( ( member_val @ ( sK7_SY139 @ SV12 @ SV53 @ SV34 ) @ SV34 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[818]) ).
thf(836,plain,
! [SV53: val > $o,SV34: set_val,SV12: set_val,SV89: val] :
( ( ( member_val @ SV89 @ ( sup_sup_set_val @ SV12 @ SV34 ) )
= $false )
| ( ( SV53 @ SV89 )
= $true )
| ( ( SV53 @ ( sK6_SY138 @ SV34 @ SV53 @ SV12 ) )
= $false )
| ( ( SV53 @ ( sK7_SY139 @ SV12 @ SV53 @ SV34 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[819]) ).
thf(837,plain,
! [SV34: set_val,SV53: val > $o,SV12: set_val] :
( ( ( ! [SY138: val] :
( ~ ( member_val @ SY138 @ SV12 )
| ( SV53 @ SY138 ) ) )
= $true )
| ( ( SV53 @ ( sK6_SY138 @ SV34 @ SV53 @ SV12 ) )
= $false )
| ( ( SV53 @ ( sK7_SY139 @ SV12 @ SV53 @ SV34 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[820]) ).
thf(838,plain,
! [SV12: set_val,SV53: val > $o,SV34: set_val] :
( ( ( ! [SY139: val] :
( ~ ( member_val @ SY139 @ SV34 )
| ( SV53 @ SY139 ) ) )
= $true )
| ( ( SV53 @ ( sK6_SY138 @ SV34 @ SV53 @ SV12 ) )
= $false )
| ( ( SV53 @ ( sK7_SY139 @ SV12 @ SV53 @ SV34 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[821]) ).
thf(839,plain,
! [SV17: set_val,SV39: set_val,SV57: val > $o,SV71: val] :
( ( ( ~ ( member_val @ ( sK9_SY140 @ SV71 @ SV57 @ SV39 @ SV17 ) @ ( sup_sup_set_val @ SV17 @ SV39 ) )
| ~ ( SV57 @ ( sK9_SY140 @ SV71 @ SV57 @ SV39 @ SV17 ) ) )
= $false )
| ( ( member_val @ SV71 @ ( sup_sup_set_val @ SV17 @ SV39 ) )
= $false )
| ( ( SV57 @ SV71 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[822]) ).
thf(840,plain,
! [SV17: set_val,SV57: val > $o,SV39: set_val,SV71: val] :
( ( ( ~ ( ~ ( member_val @ ( sK10_SY141 @ SV71 @ SV39 @ SV57 @ SV17 ) @ SV17 )
| ~ ( SV57 @ ( sK10_SY141 @ SV71 @ SV39 @ SV57 @ SV17 ) ) ) )
= $true )
| ( ( ~ ! [SY142: val] :
~ ~ ( ~ ( member_val @ SY142 @ SV39 )
| ~ ( SV57 @ SY142 ) ) )
= $true )
| ( ( member_val @ SV71 @ ( sup_sup_set_val @ SV17 @ SV39 ) )
= $false )
| ( ( SV57 @ SV71 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[823]) ).
thf(841,plain,
! [SV17: set_val,SV39: set_val,SV57: val > $o,SV73: val] :
( ( ( ~ ( ~ ( member_val @ ( sK11_SY140 @ SV73 @ SV57 @ SV39 @ SV17 ) @ ( sup_sup_set_val @ SV17 @ SV39 ) )
| ~ ( SV57 @ ( sK11_SY140 @ SV73 @ SV57 @ SV39 @ SV17 ) ) ) )
= $true )
| ( ( member_val @ SV73 @ SV17 )
= $false )
| ( ( SV57 @ SV73 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[824]) ).
thf(842,plain,
! [SV17: set_val,SV57: val > $o,SV39: set_val,SV73: val] :
( ( ( ~ ~ ( ~ ( member_val @ ( sK13_SY141 @ SV73 @ SV39 @ SV57 @ SV17 ) @ SV17 )
| ~ ( SV57 @ ( sK13_SY141 @ SV73 @ SV39 @ SV57 @ SV17 ) ) ) )
= $false )
| ( ( ~ ! [SY142: val] :
~ ~ ( ~ ( member_val @ SY142 @ SV39 )
| ~ ( SV57 @ SY142 ) ) )
= $true )
| ( ( member_val @ SV73 @ SV17 )
= $false )
| ( ( SV57 @ SV73 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[825]) ).
thf(843,plain,
! [SV17: set_val,SV39: set_val,SV57: val > $o,SV74: val] :
( ( ( ~ ( ~ ( member_val @ ( sK12_SY140 @ SV74 @ SV57 @ SV39 @ SV17 ) @ ( sup_sup_set_val @ SV17 @ SV39 ) )
| ~ ( SV57 @ ( sK12_SY140 @ SV74 @ SV57 @ SV39 @ SV17 ) ) ) )
= $true )
| ( ( member_val @ SV74 @ SV39 )
= $false )
| ( ( SV57 @ SV74 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[826]) ).
thf(844,plain,
! [SV17: set_val,SV57: val > $o,SV39: set_val,SV74: val] :
( ( ( ~ ~ ( ~ ( member_val @ ( sK14_SY141 @ SV74 @ SV39 @ SV57 @ SV17 ) @ SV17 )
| ~ ( SV57 @ ( sK14_SY141 @ SV74 @ SV39 @ SV57 @ SV17 ) ) ) )
= $false )
| ( ( ~ ! [SY142: val] :
~ ~ ( ~ ( member_val @ SY142 @ SV39 )
| ~ ( SV57 @ SY142 ) ) )
= $true )
| ( ( member_val @ SV74 @ SV39 )
= $false )
| ( ( SV57 @ SV74 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[827]) ).
thf(845,plain,
! [SV53: val > $o,SV34: set_val,SV12: set_val,SV92: val] :
( ( ( ~ ( member_val @ SV92 @ ( sup_sup_set_val @ SV12 @ SV34 ) ) )
= $true )
| ( ( SV53 @ SV92 )
= $true )
| ( ( member_val @ ( sK6_SY138 @ SV34 @ SV53 @ SV12 ) @ SV12 )
= $true )
| ( ( member_val @ ( sK8_SY139 @ SV12 @ SV53 @ SV34 ) @ SV34 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[828]) ).
thf(846,plain,
! [SV34: set_val,SV53: val > $o,SV12: set_val] :
( ( ( ~ ! [SY138: val] :
( ~ ( member_val @ SY138 @ SV12 )
| ( SV53 @ SY138 ) ) )
= $false )
| ( ( member_val @ ( sK6_SY138 @ SV34 @ SV53 @ SV12 ) @ SV12 )
= $true )
| ( ( member_val @ ( sK8_SY139 @ SV12 @ SV53 @ SV34 ) @ SV34 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[829]) ).
thf(847,plain,
! [SV12: set_val,SV53: val > $o,SV34: set_val] :
( ( ( ~ ! [SY139: val] :
( ~ ( member_val @ SY139 @ SV34 )
| ( SV53 @ SY139 ) ) )
= $false )
| ( ( member_val @ ( sK6_SY138 @ SV34 @ SV53 @ SV12 ) @ SV12 )
= $true )
| ( ( member_val @ ( sK8_SY139 @ SV12 @ SV53 @ SV34 ) @ SV34 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[829]) ).
thf(848,plain,
! [SV53: val > $o,SV34: set_val,SV12: set_val,SV90: val] :
( ( ( member_val @ SV90 @ ( sup_sup_set_val @ SV12 @ SV34 ) )
= $false )
| ( ( SV53 @ SV90 )
= $true )
| ( ( member_val @ ( sK6_SY138 @ SV34 @ SV53 @ SV12 ) @ SV12 )
= $true )
| ( ( SV53 @ ( sK8_SY139 @ SV12 @ SV53 @ SV34 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[830]) ).
thf(849,plain,
! [SV34: set_val,SV53: val > $o,SV12: set_val] :
( ( ( ! [SY138: val] :
( ~ ( member_val @ SY138 @ SV12 )
| ( SV53 @ SY138 ) ) )
= $true )
| ( ( member_val @ ( sK6_SY138 @ SV34 @ SV53 @ SV12 ) @ SV12 )
= $true )
| ( ( SV53 @ ( sK8_SY139 @ SV12 @ SV53 @ SV34 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[831]) ).
thf(850,plain,
! [SV12: set_val,SV53: val > $o,SV34: set_val] :
( ( ( ! [SY139: val] :
( ~ ( member_val @ SY139 @ SV34 )
| ( SV53 @ SY139 ) ) )
= $true )
| ( ( member_val @ ( sK6_SY138 @ SV34 @ SV53 @ SV12 ) @ SV12 )
= $true )
| ( ( SV53 @ ( sK8_SY139 @ SV12 @ SV53 @ SV34 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[832]) ).
thf(851,plain,
! [SV53: val > $o,SV34: set_val,SV12: set_val,SV91: val] :
( ( ( member_val @ SV91 @ ( sup_sup_set_val @ SV12 @ SV34 ) )
= $false )
| ( ( SV53 @ SV91 )
= $true )
| ( ( SV53 @ ( sK6_SY138 @ SV34 @ SV53 @ SV12 ) )
= $false )
| ( ( member_val @ ( sK7_SY139 @ SV12 @ SV53 @ SV34 ) @ SV34 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[833]) ).
thf(852,plain,
! [SV34: set_val,SV53: val > $o,SV12: set_val] :
( ( ( ! [SY138: val] :
( ~ ( member_val @ SY138 @ SV12 )
| ( SV53 @ SY138 ) ) )
= $true )
| ( ( SV53 @ ( sK6_SY138 @ SV34 @ SV53 @ SV12 ) )
= $false )
| ( ( member_val @ ( sK7_SY139 @ SV12 @ SV53 @ SV34 ) @ SV34 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[834]) ).
thf(853,plain,
! [SV12: set_val,SV53: val > $o,SV34: set_val] :
( ( ( ! [SY139: val] :
( ~ ( member_val @ SY139 @ SV34 )
| ( SV53 @ SY139 ) ) )
= $true )
| ( ( SV53 @ ( sK6_SY138 @ SV34 @ SV53 @ SV12 ) )
= $false )
| ( ( member_val @ ( sK7_SY139 @ SV12 @ SV53 @ SV34 ) @ SV34 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[835]) ).
thf(854,plain,
! [SV34: set_val,SV53: val > $o,SV12: set_val,SV93: val] :
( ( ( ~ ( member_val @ SV93 @ SV12 )
| ( SV53 @ SV93 ) )
= $true )
| ( ( SV53 @ ( sK6_SY138 @ SV34 @ SV53 @ SV12 ) )
= $false )
| ( ( SV53 @ ( sK7_SY139 @ SV12 @ SV53 @ SV34 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[837]) ).
thf(855,plain,
! [SV12: set_val,SV53: val > $o,SV34: set_val,SV94: val] :
( ( ( ~ ( member_val @ SV94 @ SV34 )
| ( SV53 @ SV94 ) )
= $true )
| ( ( SV53 @ ( sK6_SY138 @ SV34 @ SV53 @ SV12 ) )
= $false )
| ( ( SV53 @ ( sK7_SY139 @ SV12 @ SV53 @ SV34 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[838]) ).
thf(856,plain,
! [SV17: set_val,SV39: set_val,SV57: val > $o,SV71: val] :
( ( ( ~ ( member_val @ ( sK9_SY140 @ SV71 @ SV57 @ SV39 @ SV17 ) @ ( sup_sup_set_val @ SV17 @ SV39 ) ) )
= $false )
| ( ( member_val @ SV71 @ ( sup_sup_set_val @ SV17 @ SV39 ) )
= $false )
| ( ( SV57 @ SV71 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[839]) ).
thf(857,plain,
! [SV17: set_val,SV39: set_val,SV71: val,SV57: val > $o] :
( ( ( ~ ( SV57 @ ( sK9_SY140 @ SV71 @ SV57 @ SV39 @ SV17 ) ) )
= $false )
| ( ( member_val @ SV71 @ ( sup_sup_set_val @ SV17 @ SV39 ) )
= $false )
| ( ( SV57 @ SV71 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[839]) ).
thf(858,plain,
! [SV17: set_val,SV57: val > $o,SV39: set_val,SV71: val] :
( ( ( ~ ( member_val @ ( sK10_SY141 @ SV71 @ SV39 @ SV57 @ SV17 ) @ SV17 )
| ~ ( SV57 @ ( sK10_SY141 @ SV71 @ SV39 @ SV57 @ SV17 ) ) )
= $false )
| ( ( ~ ! [SY142: val] :
~ ~ ( ~ ( member_val @ SY142 @ SV39 )
| ~ ( SV57 @ SY142 ) ) )
= $true )
| ( ( member_val @ SV71 @ ( sup_sup_set_val @ SV17 @ SV39 ) )
= $false )
| ( ( SV57 @ SV71 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[840]) ).
thf(859,plain,
! [SV17: set_val,SV39: set_val,SV57: val > $o,SV73: val] :
( ( ( ~ ( member_val @ ( sK11_SY140 @ SV73 @ SV57 @ SV39 @ SV17 ) @ ( sup_sup_set_val @ SV17 @ SV39 ) )
| ~ ( SV57 @ ( sK11_SY140 @ SV73 @ SV57 @ SV39 @ SV17 ) ) )
= $false )
| ( ( member_val @ SV73 @ SV17 )
= $false )
| ( ( SV57 @ SV73 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[841]) ).
thf(860,plain,
! [SV17: set_val,SV57: val > $o,SV39: set_val,SV73: val] :
( ( ( ~ ( ~ ( member_val @ ( sK13_SY141 @ SV73 @ SV39 @ SV57 @ SV17 ) @ SV17 )
| ~ ( SV57 @ ( sK13_SY141 @ SV73 @ SV39 @ SV57 @ SV17 ) ) ) )
= $true )
| ( ( ~ ! [SY142: val] :
~ ~ ( ~ ( member_val @ SY142 @ SV39 )
| ~ ( SV57 @ SY142 ) ) )
= $true )
| ( ( member_val @ SV73 @ SV17 )
= $false )
| ( ( SV57 @ SV73 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[842]) ).
thf(861,plain,
! [SV17: set_val,SV39: set_val,SV57: val > $o,SV74: val] :
( ( ( ~ ( member_val @ ( sK12_SY140 @ SV74 @ SV57 @ SV39 @ SV17 ) @ ( sup_sup_set_val @ SV17 @ SV39 ) )
| ~ ( SV57 @ ( sK12_SY140 @ SV74 @ SV57 @ SV39 @ SV17 ) ) )
= $false )
| ( ( member_val @ SV74 @ SV39 )
= $false )
| ( ( SV57 @ SV74 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[843]) ).
thf(862,plain,
! [SV17: set_val,SV57: val > $o,SV39: set_val,SV74: val] :
( ( ( ~ ( ~ ( member_val @ ( sK14_SY141 @ SV74 @ SV39 @ SV57 @ SV17 ) @ SV17 )
| ~ ( SV57 @ ( sK14_SY141 @ SV74 @ SV39 @ SV57 @ SV17 ) ) ) )
= $true )
| ( ( ~ ! [SY142: val] :
~ ~ ( ~ ( member_val @ SY142 @ SV39 )
| ~ ( SV57 @ SY142 ) ) )
= $true )
| ( ( member_val @ SV74 @ SV39 )
= $false )
| ( ( SV57 @ SV74 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[844]) ).
thf(863,plain,
! [SV53: val > $o,SV34: set_val,SV12: set_val,SV92: val] :
( ( ( member_val @ SV92 @ ( sup_sup_set_val @ SV12 @ SV34 ) )
= $false )
| ( ( SV53 @ SV92 )
= $true )
| ( ( member_val @ ( sK6_SY138 @ SV34 @ SV53 @ SV12 ) @ SV12 )
= $true )
| ( ( member_val @ ( sK8_SY139 @ SV12 @ SV53 @ SV34 ) @ SV34 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[845]) ).
thf(864,plain,
! [SV34: set_val,SV53: val > $o,SV12: set_val] :
( ( ( ! [SY138: val] :
( ~ ( member_val @ SY138 @ SV12 )
| ( SV53 @ SY138 ) ) )
= $true )
| ( ( member_val @ ( sK6_SY138 @ SV34 @ SV53 @ SV12 ) @ SV12 )
= $true )
| ( ( member_val @ ( sK8_SY139 @ SV12 @ SV53 @ SV34 ) @ SV34 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[846]) ).
thf(865,plain,
! [SV12: set_val,SV53: val > $o,SV34: set_val] :
( ( ( ! [SY139: val] :
( ~ ( member_val @ SY139 @ SV34 )
| ( SV53 @ SY139 ) ) )
= $true )
| ( ( member_val @ ( sK6_SY138 @ SV34 @ SV53 @ SV12 ) @ SV12 )
= $true )
| ( ( member_val @ ( sK8_SY139 @ SV12 @ SV53 @ SV34 ) @ SV34 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[847]) ).
thf(866,plain,
! [SV34: set_val,SV53: val > $o,SV12: set_val,SV95: val] :
( ( ( ~ ( member_val @ SV95 @ SV12 )
| ( SV53 @ SV95 ) )
= $true )
| ( ( member_val @ ( sK6_SY138 @ SV34 @ SV53 @ SV12 ) @ SV12 )
= $true )
| ( ( SV53 @ ( sK8_SY139 @ SV12 @ SV53 @ SV34 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[849]) ).
thf(867,plain,
! [SV12: set_val,SV53: val > $o,SV34: set_val,SV96: val] :
( ( ( ~ ( member_val @ SV96 @ SV34 )
| ( SV53 @ SV96 ) )
= $true )
| ( ( member_val @ ( sK6_SY138 @ SV34 @ SV53 @ SV12 ) @ SV12 )
= $true )
| ( ( SV53 @ ( sK8_SY139 @ SV12 @ SV53 @ SV34 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[850]) ).
thf(868,plain,
! [SV34: set_val,SV53: val > $o,SV12: set_val,SV97: val] :
( ( ( ~ ( member_val @ SV97 @ SV12 )
| ( SV53 @ SV97 ) )
= $true )
| ( ( SV53 @ ( sK6_SY138 @ SV34 @ SV53 @ SV12 ) )
= $false )
| ( ( member_val @ ( sK7_SY139 @ SV12 @ SV53 @ SV34 ) @ SV34 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[852]) ).
thf(869,plain,
! [SV12: set_val,SV53: val > $o,SV34: set_val,SV98: val] :
( ( ( ~ ( member_val @ SV98 @ SV34 )
| ( SV53 @ SV98 ) )
= $true )
| ( ( SV53 @ ( sK6_SY138 @ SV34 @ SV53 @ SV12 ) )
= $false )
| ( ( member_val @ ( sK7_SY139 @ SV12 @ SV53 @ SV34 ) @ SV34 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[853]) ).
thf(870,plain,
! [SV34: set_val,SV53: val > $o,SV12: set_val,SV93: val] :
( ( ( ~ ( member_val @ SV93 @ SV12 ) )
= $true )
| ( ( SV53 @ SV93 )
= $true )
| ( ( SV53 @ ( sK6_SY138 @ SV34 @ SV53 @ SV12 ) )
= $false )
| ( ( SV53 @ ( sK7_SY139 @ SV12 @ SV53 @ SV34 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[854]) ).
thf(871,plain,
! [SV12: set_val,SV53: val > $o,SV34: set_val,SV94: val] :
( ( ( ~ ( member_val @ SV94 @ SV34 ) )
= $true )
| ( ( SV53 @ SV94 )
= $true )
| ( ( SV53 @ ( sK6_SY138 @ SV34 @ SV53 @ SV12 ) )
= $false )
| ( ( SV53 @ ( sK7_SY139 @ SV12 @ SV53 @ SV34 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[855]) ).
thf(872,plain,
! [SV17: set_val,SV39: set_val,SV57: val > $o,SV71: val] :
( ( ( member_val @ ( sK9_SY140 @ SV71 @ SV57 @ SV39 @ SV17 ) @ ( sup_sup_set_val @ SV17 @ SV39 ) )
= $true )
| ( ( member_val @ SV71 @ ( sup_sup_set_val @ SV17 @ SV39 ) )
= $false )
| ( ( SV57 @ SV71 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[856]) ).
thf(873,plain,
! [SV17: set_val,SV39: set_val,SV71: val,SV57: val > $o] :
( ( ( SV57 @ ( sK9_SY140 @ SV71 @ SV57 @ SV39 @ SV17 ) )
= $true )
| ( ( member_val @ SV71 @ ( sup_sup_set_val @ SV17 @ SV39 ) )
= $false )
| ( ( SV57 @ SV71 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[857]) ).
thf(874,plain,
! [SV17: set_val,SV57: val > $o,SV39: set_val,SV71: val] :
( ( ( ~ ( member_val @ ( sK10_SY141 @ SV71 @ SV39 @ SV57 @ SV17 ) @ SV17 ) )
= $false )
| ( ( ~ ! [SY142: val] :
~ ~ ( ~ ( member_val @ SY142 @ SV39 )
| ~ ( SV57 @ SY142 ) ) )
= $true )
| ( ( member_val @ SV71 @ ( sup_sup_set_val @ SV17 @ SV39 ) )
= $false )
| ( ( SV57 @ SV71 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[858]) ).
thf(875,plain,
! [SV17: set_val,SV39: set_val,SV71: val,SV57: val > $o] :
( ( ( ~ ( SV57 @ ( sK10_SY141 @ SV71 @ SV39 @ SV57 @ SV17 ) ) )
= $false )
| ( ( ~ ! [SY142: val] :
~ ~ ( ~ ( member_val @ SY142 @ SV39 )
| ~ ( SV57 @ SY142 ) ) )
= $true )
| ( ( member_val @ SV71 @ ( sup_sup_set_val @ SV17 @ SV39 ) )
= $false )
| ( ( SV57 @ SV71 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[858]) ).
thf(876,plain,
! [SV17: set_val,SV39: set_val,SV57: val > $o,SV73: val] :
( ( ( ~ ( member_val @ ( sK11_SY140 @ SV73 @ SV57 @ SV39 @ SV17 ) @ ( sup_sup_set_val @ SV17 @ SV39 ) ) )
= $false )
| ( ( member_val @ SV73 @ SV17 )
= $false )
| ( ( SV57 @ SV73 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[859]) ).
thf(877,plain,
! [SV17: set_val,SV39: set_val,SV73: val,SV57: val > $o] :
( ( ( ~ ( SV57 @ ( sK11_SY140 @ SV73 @ SV57 @ SV39 @ SV17 ) ) )
= $false )
| ( ( member_val @ SV73 @ SV17 )
= $false )
| ( ( SV57 @ SV73 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[859]) ).
thf(878,plain,
! [SV17: set_val,SV57: val > $o,SV39: set_val,SV73: val] :
( ( ( ~ ( member_val @ ( sK13_SY141 @ SV73 @ SV39 @ SV57 @ SV17 ) @ SV17 )
| ~ ( SV57 @ ( sK13_SY141 @ SV73 @ SV39 @ SV57 @ SV17 ) ) )
= $false )
| ( ( ~ ! [SY142: val] :
~ ~ ( ~ ( member_val @ SY142 @ SV39 )
| ~ ( SV57 @ SY142 ) ) )
= $true )
| ( ( member_val @ SV73 @ SV17 )
= $false )
| ( ( SV57 @ SV73 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[860]) ).
thf(879,plain,
! [SV17: set_val,SV39: set_val,SV57: val > $o,SV74: val] :
( ( ( ~ ( member_val @ ( sK12_SY140 @ SV74 @ SV57 @ SV39 @ SV17 ) @ ( sup_sup_set_val @ SV17 @ SV39 ) ) )
= $false )
| ( ( member_val @ SV74 @ SV39 )
= $false )
| ( ( SV57 @ SV74 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[861]) ).
thf(880,plain,
! [SV17: set_val,SV39: set_val,SV74: val,SV57: val > $o] :
( ( ( ~ ( SV57 @ ( sK12_SY140 @ SV74 @ SV57 @ SV39 @ SV17 ) ) )
= $false )
| ( ( member_val @ SV74 @ SV39 )
= $false )
| ( ( SV57 @ SV74 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[861]) ).
thf(881,plain,
! [SV17: set_val,SV57: val > $o,SV39: set_val,SV74: val] :
( ( ( ~ ( member_val @ ( sK14_SY141 @ SV74 @ SV39 @ SV57 @ SV17 ) @ SV17 )
| ~ ( SV57 @ ( sK14_SY141 @ SV74 @ SV39 @ SV57 @ SV17 ) ) )
= $false )
| ( ( ~ ! [SY142: val] :
~ ~ ( ~ ( member_val @ SY142 @ SV39 )
| ~ ( SV57 @ SY142 ) ) )
= $true )
| ( ( member_val @ SV74 @ SV39 )
= $false )
| ( ( SV57 @ SV74 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[862]) ).
thf(882,plain,
! [SV34: set_val,SV53: val > $o,SV12: set_val,SV99: val] :
( ( ( ~ ( member_val @ SV99 @ SV12 )
| ( SV53 @ SV99 ) )
= $true )
| ( ( member_val @ ( sK6_SY138 @ SV34 @ SV53 @ SV12 ) @ SV12 )
= $true )
| ( ( member_val @ ( sK8_SY139 @ SV12 @ SV53 @ SV34 ) @ SV34 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[864]) ).
thf(883,plain,
! [SV12: set_val,SV53: val > $o,SV34: set_val,SV100: val] :
( ( ( ~ ( member_val @ SV100 @ SV34 )
| ( SV53 @ SV100 ) )
= $true )
| ( ( member_val @ ( sK6_SY138 @ SV34 @ SV53 @ SV12 ) @ SV12 )
= $true )
| ( ( member_val @ ( sK8_SY139 @ SV12 @ SV53 @ SV34 ) @ SV34 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[865]) ).
thf(884,plain,
! [SV34: set_val,SV53: val > $o,SV12: set_val,SV95: val] :
( ( ( ~ ( member_val @ SV95 @ SV12 ) )
= $true )
| ( ( SV53 @ SV95 )
= $true )
| ( ( member_val @ ( sK6_SY138 @ SV34 @ SV53 @ SV12 ) @ SV12 )
= $true )
| ( ( SV53 @ ( sK8_SY139 @ SV12 @ SV53 @ SV34 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[866]) ).
thf(885,plain,
! [SV12: set_val,SV53: val > $o,SV34: set_val,SV96: val] :
( ( ( ~ ( member_val @ SV96 @ SV34 ) )
= $true )
| ( ( SV53 @ SV96 )
= $true )
| ( ( member_val @ ( sK6_SY138 @ SV34 @ SV53 @ SV12 ) @ SV12 )
= $true )
| ( ( SV53 @ ( sK8_SY139 @ SV12 @ SV53 @ SV34 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[867]) ).
thf(886,plain,
! [SV34: set_val,SV53: val > $o,SV12: set_val,SV97: val] :
( ( ( ~ ( member_val @ SV97 @ SV12 ) )
= $true )
| ( ( SV53 @ SV97 )
= $true )
| ( ( SV53 @ ( sK6_SY138 @ SV34 @ SV53 @ SV12 ) )
= $false )
| ( ( member_val @ ( sK7_SY139 @ SV12 @ SV53 @ SV34 ) @ SV34 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[868]) ).
thf(887,plain,
! [SV12: set_val,SV53: val > $o,SV34: set_val,SV98: val] :
( ( ( ~ ( member_val @ SV98 @ SV34 ) )
= $true )
| ( ( SV53 @ SV98 )
= $true )
| ( ( SV53 @ ( sK6_SY138 @ SV34 @ SV53 @ SV12 ) )
= $false )
| ( ( member_val @ ( sK7_SY139 @ SV12 @ SV53 @ SV34 ) @ SV34 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[869]) ).
thf(888,plain,
! [SV34: set_val,SV53: val > $o,SV12: set_val,SV93: val] :
( ( ( member_val @ SV93 @ SV12 )
= $false )
| ( ( SV53 @ SV93 )
= $true )
| ( ( SV53 @ ( sK6_SY138 @ SV34 @ SV53 @ SV12 ) )
= $false )
| ( ( SV53 @ ( sK7_SY139 @ SV12 @ SV53 @ SV34 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[870]) ).
thf(889,plain,
! [SV12: set_val,SV53: val > $o,SV34: set_val,SV94: val] :
( ( ( member_val @ SV94 @ SV34 )
= $false )
| ( ( SV53 @ SV94 )
= $true )
| ( ( SV53 @ ( sK6_SY138 @ SV34 @ SV53 @ SV12 ) )
= $false )
| ( ( SV53 @ ( sK7_SY139 @ SV12 @ SV53 @ SV34 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[871]) ).
thf(890,plain,
! [SV17: set_val,SV57: val > $o,SV39: set_val,SV71: val] :
( ( ( member_val @ ( sK10_SY141 @ SV71 @ SV39 @ SV57 @ SV17 ) @ SV17 )
= $true )
| ( ( ~ ! [SY142: val] :
~ ~ ( ~ ( member_val @ SY142 @ SV39 )
| ~ ( SV57 @ SY142 ) ) )
= $true )
| ( ( member_val @ SV71 @ ( sup_sup_set_val @ SV17 @ SV39 ) )
= $false )
| ( ( SV57 @ SV71 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[874]) ).
thf(891,plain,
! [SV17: set_val,SV39: set_val,SV71: val,SV57: val > $o] :
( ( ( SV57 @ ( sK10_SY141 @ SV71 @ SV39 @ SV57 @ SV17 ) )
= $true )
| ( ( ~ ! [SY142: val] :
~ ~ ( ~ ( member_val @ SY142 @ SV39 )
| ~ ( SV57 @ SY142 ) ) )
= $true )
| ( ( member_val @ SV71 @ ( sup_sup_set_val @ SV17 @ SV39 ) )
= $false )
| ( ( SV57 @ SV71 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[875]) ).
thf(892,plain,
! [SV17: set_val,SV39: set_val,SV57: val > $o,SV73: val] :
( ( ( member_val @ ( sK11_SY140 @ SV73 @ SV57 @ SV39 @ SV17 ) @ ( sup_sup_set_val @ SV17 @ SV39 ) )
= $true )
| ( ( member_val @ SV73 @ SV17 )
= $false )
| ( ( SV57 @ SV73 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[876]) ).
thf(893,plain,
! [SV17: set_val,SV39: set_val,SV73: val,SV57: val > $o] :
( ( ( SV57 @ ( sK11_SY140 @ SV73 @ SV57 @ SV39 @ SV17 ) )
= $true )
| ( ( member_val @ SV73 @ SV17 )
= $false )
| ( ( SV57 @ SV73 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[877]) ).
thf(894,plain,
! [SV17: set_val,SV57: val > $o,SV39: set_val,SV73: val] :
( ( ( ~ ( member_val @ ( sK13_SY141 @ SV73 @ SV39 @ SV57 @ SV17 ) @ SV17 ) )
= $false )
| ( ( ~ ! [SY142: val] :
~ ~ ( ~ ( member_val @ SY142 @ SV39 )
| ~ ( SV57 @ SY142 ) ) )
= $true )
| ( ( member_val @ SV73 @ SV17 )
= $false )
| ( ( SV57 @ SV73 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[878]) ).
thf(895,plain,
! [SV17: set_val,SV39: set_val,SV73: val,SV57: val > $o] :
( ( ( ~ ( SV57 @ ( sK13_SY141 @ SV73 @ SV39 @ SV57 @ SV17 ) ) )
= $false )
| ( ( ~ ! [SY142: val] :
~ ~ ( ~ ( member_val @ SY142 @ SV39 )
| ~ ( SV57 @ SY142 ) ) )
= $true )
| ( ( member_val @ SV73 @ SV17 )
= $false )
| ( ( SV57 @ SV73 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[878]) ).
thf(896,plain,
! [SV17: set_val,SV39: set_val,SV57: val > $o,SV74: val] :
( ( ( member_val @ ( sK12_SY140 @ SV74 @ SV57 @ SV39 @ SV17 ) @ ( sup_sup_set_val @ SV17 @ SV39 ) )
= $true )
| ( ( member_val @ SV74 @ SV39 )
= $false )
| ( ( SV57 @ SV74 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[879]) ).
thf(897,plain,
! [SV17: set_val,SV39: set_val,SV74: val,SV57: val > $o] :
( ( ( SV57 @ ( sK12_SY140 @ SV74 @ SV57 @ SV39 @ SV17 ) )
= $true )
| ( ( member_val @ SV74 @ SV39 )
= $false )
| ( ( SV57 @ SV74 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[880]) ).
thf(898,plain,
! [SV17: set_val,SV57: val > $o,SV39: set_val,SV74: val] :
( ( ( ~ ( member_val @ ( sK14_SY141 @ SV74 @ SV39 @ SV57 @ SV17 ) @ SV17 ) )
= $false )
| ( ( ~ ! [SY142: val] :
~ ~ ( ~ ( member_val @ SY142 @ SV39 )
| ~ ( SV57 @ SY142 ) ) )
= $true )
| ( ( member_val @ SV74 @ SV39 )
= $false )
| ( ( SV57 @ SV74 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[881]) ).
thf(899,plain,
! [SV17: set_val,SV39: set_val,SV74: val,SV57: val > $o] :
( ( ( ~ ( SV57 @ ( sK14_SY141 @ SV74 @ SV39 @ SV57 @ SV17 ) ) )
= $false )
| ( ( ~ ! [SY142: val] :
~ ~ ( ~ ( member_val @ SY142 @ SV39 )
| ~ ( SV57 @ SY142 ) ) )
= $true )
| ( ( member_val @ SV74 @ SV39 )
= $false )
| ( ( SV57 @ SV74 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[881]) ).
thf(900,plain,
! [SV34: set_val,SV53: val > $o,SV12: set_val,SV99: val] :
( ( ( ~ ( member_val @ SV99 @ SV12 ) )
= $true )
| ( ( SV53 @ SV99 )
= $true )
| ( ( member_val @ ( sK6_SY138 @ SV34 @ SV53 @ SV12 ) @ SV12 )
= $true )
| ( ( member_val @ ( sK8_SY139 @ SV12 @ SV53 @ SV34 ) @ SV34 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[882]) ).
thf(901,plain,
! [SV12: set_val,SV53: val > $o,SV34: set_val,SV100: val] :
( ( ( ~ ( member_val @ SV100 @ SV34 ) )
= $true )
| ( ( SV53 @ SV100 )
= $true )
| ( ( member_val @ ( sK6_SY138 @ SV34 @ SV53 @ SV12 ) @ SV12 )
= $true )
| ( ( member_val @ ( sK8_SY139 @ SV12 @ SV53 @ SV34 ) @ SV34 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[883]) ).
thf(902,plain,
! [SV34: set_val,SV53: val > $o,SV12: set_val,SV95: val] :
( ( ( member_val @ SV95 @ SV12 )
= $false )
| ( ( SV53 @ SV95 )
= $true )
| ( ( member_val @ ( sK6_SY138 @ SV34 @ SV53 @ SV12 ) @ SV12 )
= $true )
| ( ( SV53 @ ( sK8_SY139 @ SV12 @ SV53 @ SV34 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[884]) ).
thf(903,plain,
! [SV12: set_val,SV53: val > $o,SV34: set_val,SV96: val] :
( ( ( member_val @ SV96 @ SV34 )
= $false )
| ( ( SV53 @ SV96 )
= $true )
| ( ( member_val @ ( sK6_SY138 @ SV34 @ SV53 @ SV12 ) @ SV12 )
= $true )
| ( ( SV53 @ ( sK8_SY139 @ SV12 @ SV53 @ SV34 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[885]) ).
thf(904,plain,
! [SV34: set_val,SV53: val > $o,SV12: set_val,SV97: val] :
( ( ( member_val @ SV97 @ SV12 )
= $false )
| ( ( SV53 @ SV97 )
= $true )
| ( ( SV53 @ ( sK6_SY138 @ SV34 @ SV53 @ SV12 ) )
= $false )
| ( ( member_val @ ( sK7_SY139 @ SV12 @ SV53 @ SV34 ) @ SV34 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[886]) ).
thf(905,plain,
! [SV12: set_val,SV53: val > $o,SV34: set_val,SV98: val] :
( ( ( member_val @ SV98 @ SV34 )
= $false )
| ( ( SV53 @ SV98 )
= $true )
| ( ( SV53 @ ( sK6_SY138 @ SV34 @ SV53 @ SV12 ) )
= $false )
| ( ( member_val @ ( sK7_SY139 @ SV12 @ SV53 @ SV34 ) @ SV34 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[887]) ).
thf(906,plain,
! [SV17: set_val,SV71: val,SV57: val > $o,SV39: set_val] :
( ( ( ! [SY142: val] :
~ ~ ( ~ ( member_val @ SY142 @ SV39 )
| ~ ( SV57 @ SY142 ) ) )
= $false )
| ( ( member_val @ ( sK10_SY141 @ SV71 @ SV39 @ SV57 @ SV17 ) @ SV17 )
= $true )
| ( ( member_val @ SV71 @ ( sup_sup_set_val @ SV17 @ SV39 ) )
= $false )
| ( ( SV57 @ SV71 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[890]) ).
thf(907,plain,
! [SV17: set_val,SV71: val,SV57: val > $o,SV39: set_val] :
( ( ( ! [SY142: val] :
~ ~ ( ~ ( member_val @ SY142 @ SV39 )
| ~ ( SV57 @ SY142 ) ) )
= $false )
| ( ( SV57 @ ( sK10_SY141 @ SV71 @ SV39 @ SV57 @ SV17 ) )
= $true )
| ( ( member_val @ SV71 @ ( sup_sup_set_val @ SV17 @ SV39 ) )
= $false )
| ( ( SV57 @ SV71 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[891]) ).
thf(908,plain,
! [SV17: set_val,SV57: val > $o,SV39: set_val,SV73: val] :
( ( ( member_val @ ( sK13_SY141 @ SV73 @ SV39 @ SV57 @ SV17 ) @ SV17 )
= $true )
| ( ( ~ ! [SY142: val] :
~ ~ ( ~ ( member_val @ SY142 @ SV39 )
| ~ ( SV57 @ SY142 ) ) )
= $true )
| ( ( member_val @ SV73 @ SV17 )
= $false )
| ( ( SV57 @ SV73 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[894]) ).
thf(909,plain,
! [SV17: set_val,SV39: set_val,SV73: val,SV57: val > $o] :
( ( ( SV57 @ ( sK13_SY141 @ SV73 @ SV39 @ SV57 @ SV17 ) )
= $true )
| ( ( ~ ! [SY142: val] :
~ ~ ( ~ ( member_val @ SY142 @ SV39 )
| ~ ( SV57 @ SY142 ) ) )
= $true )
| ( ( member_val @ SV73 @ SV17 )
= $false )
| ( ( SV57 @ SV73 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[895]) ).
thf(910,plain,
! [SV17: set_val,SV57: val > $o,SV39: set_val,SV74: val] :
( ( ( member_val @ ( sK14_SY141 @ SV74 @ SV39 @ SV57 @ SV17 ) @ SV17 )
= $true )
| ( ( ~ ! [SY142: val] :
~ ~ ( ~ ( member_val @ SY142 @ SV39 )
| ~ ( SV57 @ SY142 ) ) )
= $true )
| ( ( member_val @ SV74 @ SV39 )
= $false )
| ( ( SV57 @ SV74 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[898]) ).
thf(911,plain,
! [SV17: set_val,SV39: set_val,SV74: val,SV57: val > $o] :
( ( ( SV57 @ ( sK14_SY141 @ SV74 @ SV39 @ SV57 @ SV17 ) )
= $true )
| ( ( ~ ! [SY142: val] :
~ ~ ( ~ ( member_val @ SY142 @ SV39 )
| ~ ( SV57 @ SY142 ) ) )
= $true )
| ( ( member_val @ SV74 @ SV39 )
= $false )
| ( ( SV57 @ SV74 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[899]) ).
thf(912,plain,
! [SV34: set_val,SV53: val > $o,SV12: set_val,SV99: val] :
( ( ( member_val @ SV99 @ SV12 )
= $false )
| ( ( SV53 @ SV99 )
= $true )
| ( ( member_val @ ( sK6_SY138 @ SV34 @ SV53 @ SV12 ) @ SV12 )
= $true )
| ( ( member_val @ ( sK8_SY139 @ SV12 @ SV53 @ SV34 ) @ SV34 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[900]) ).
thf(913,plain,
! [SV12: set_val,SV53: val > $o,SV34: set_val,SV100: val] :
( ( ( member_val @ SV100 @ SV34 )
= $false )
| ( ( SV53 @ SV100 )
= $true )
| ( ( member_val @ ( sK6_SY138 @ SV34 @ SV53 @ SV12 ) @ SV12 )
= $true )
| ( ( member_val @ ( sK8_SY139 @ SV12 @ SV53 @ SV34 ) @ SV34 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[901]) ).
thf(914,plain,
! [SV39: set_val,SV57: val > $o,SV71: val,SV17: set_val] :
( ( ( ~ ~ ( ~ ( member_val @ ( sK15_SY142 @ SV17 @ SV71 @ SV57 @ SV39 ) @ SV39 )
| ~ ( SV57 @ ( sK15_SY142 @ SV17 @ SV71 @ SV57 @ SV39 ) ) ) )
= $false )
| ( ( member_val @ ( sK10_SY141 @ SV71 @ SV39 @ SV57 @ SV17 ) @ SV17 )
= $true )
| ( ( member_val @ SV71 @ ( sup_sup_set_val @ SV17 @ SV39 ) )
= $false )
| ( ( SV57 @ SV71 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[906]) ).
thf(915,plain,
! [SV39: set_val,SV57: val > $o,SV71: val,SV17: set_val] :
( ( ( ~ ~ ( ~ ( member_val @ ( sK16_SY142 @ SV17 @ SV71 @ SV57 @ SV39 ) @ SV39 )
| ~ ( SV57 @ ( sK16_SY142 @ SV17 @ SV71 @ SV57 @ SV39 ) ) ) )
= $false )
| ( ( SV57 @ ( sK10_SY141 @ SV71 @ SV39 @ SV57 @ SV17 ) )
= $true )
| ( ( member_val @ SV71 @ ( sup_sup_set_val @ SV17 @ SV39 ) )
= $false )
| ( ( SV57 @ SV71 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[907]) ).
thf(916,plain,
! [SV17: set_val,SV73: val,SV57: val > $o,SV39: set_val] :
( ( ( ! [SY142: val] :
~ ~ ( ~ ( member_val @ SY142 @ SV39 )
| ~ ( SV57 @ SY142 ) ) )
= $false )
| ( ( member_val @ ( sK13_SY141 @ SV73 @ SV39 @ SV57 @ SV17 ) @ SV17 )
= $true )
| ( ( member_val @ SV73 @ SV17 )
= $false )
| ( ( SV57 @ SV73 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[908]) ).
thf(917,plain,
! [SV17: set_val,SV73: val,SV57: val > $o,SV39: set_val] :
( ( ( ! [SY142: val] :
~ ~ ( ~ ( member_val @ SY142 @ SV39 )
| ~ ( SV57 @ SY142 ) ) )
= $false )
| ( ( SV57 @ ( sK13_SY141 @ SV73 @ SV39 @ SV57 @ SV17 ) )
= $true )
| ( ( member_val @ SV73 @ SV17 )
= $false )
| ( ( SV57 @ SV73 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[909]) ).
thf(918,plain,
! [SV17: set_val,SV74: val,SV57: val > $o,SV39: set_val] :
( ( ( ! [SY142: val] :
~ ~ ( ~ ( member_val @ SY142 @ SV39 )
| ~ ( SV57 @ SY142 ) ) )
= $false )
| ( ( member_val @ ( sK14_SY141 @ SV74 @ SV39 @ SV57 @ SV17 ) @ SV17 )
= $true )
| ( ( member_val @ SV74 @ SV39 )
= $false )
| ( ( SV57 @ SV74 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[910]) ).
thf(919,plain,
! [SV17: set_val,SV74: val,SV57: val > $o,SV39: set_val] :
( ( ( ! [SY142: val] :
~ ~ ( ~ ( member_val @ SY142 @ SV39 )
| ~ ( SV57 @ SY142 ) ) )
= $false )
| ( ( SV57 @ ( sK14_SY141 @ SV74 @ SV39 @ SV57 @ SV17 ) )
= $true )
| ( ( member_val @ SV74 @ SV39 )
= $false )
| ( ( SV57 @ SV74 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[911]) ).
thf(920,plain,
! [SV39: set_val,SV57: val > $o,SV71: val,SV17: set_val] :
( ( ( ~ ( ~ ( member_val @ ( sK15_SY142 @ SV17 @ SV71 @ SV57 @ SV39 ) @ SV39 )
| ~ ( SV57 @ ( sK15_SY142 @ SV17 @ SV71 @ SV57 @ SV39 ) ) ) )
= $true )
| ( ( member_val @ ( sK10_SY141 @ SV71 @ SV39 @ SV57 @ SV17 ) @ SV17 )
= $true )
| ( ( member_val @ SV71 @ ( sup_sup_set_val @ SV17 @ SV39 ) )
= $false )
| ( ( SV57 @ SV71 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[914]) ).
thf(921,plain,
! [SV39: set_val,SV57: val > $o,SV71: val,SV17: set_val] :
( ( ( ~ ( ~ ( member_val @ ( sK16_SY142 @ SV17 @ SV71 @ SV57 @ SV39 ) @ SV39 )
| ~ ( SV57 @ ( sK16_SY142 @ SV17 @ SV71 @ SV57 @ SV39 ) ) ) )
= $true )
| ( ( SV57 @ ( sK10_SY141 @ SV71 @ SV39 @ SV57 @ SV17 ) )
= $true )
| ( ( member_val @ SV71 @ ( sup_sup_set_val @ SV17 @ SV39 ) )
= $false )
| ( ( SV57 @ SV71 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[915]) ).
thf(922,plain,
! [SV39: set_val,SV57: val > $o,SV73: val,SV17: set_val] :
( ( ( ~ ~ ( ~ ( member_val @ ( sK17_SY142 @ SV17 @ SV73 @ SV57 @ SV39 ) @ SV39 )
| ~ ( SV57 @ ( sK17_SY142 @ SV17 @ SV73 @ SV57 @ SV39 ) ) ) )
= $false )
| ( ( member_val @ ( sK13_SY141 @ SV73 @ SV39 @ SV57 @ SV17 ) @ SV17 )
= $true )
| ( ( member_val @ SV73 @ SV17 )
= $false )
| ( ( SV57 @ SV73 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[916]) ).
thf(923,plain,
! [SV39: set_val,SV57: val > $o,SV73: val,SV17: set_val] :
( ( ( ~ ~ ( ~ ( member_val @ ( sK18_SY142 @ SV17 @ SV73 @ SV57 @ SV39 ) @ SV39 )
| ~ ( SV57 @ ( sK18_SY142 @ SV17 @ SV73 @ SV57 @ SV39 ) ) ) )
= $false )
| ( ( SV57 @ ( sK13_SY141 @ SV73 @ SV39 @ SV57 @ SV17 ) )
= $true )
| ( ( member_val @ SV73 @ SV17 )
= $false )
| ( ( SV57 @ SV73 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[917]) ).
thf(924,plain,
! [SV39: set_val,SV57: val > $o,SV74: val,SV17: set_val] :
( ( ( ~ ~ ( ~ ( member_val @ ( sK19_SY142 @ SV17 @ SV74 @ SV57 @ SV39 ) @ SV39 )
| ~ ( SV57 @ ( sK19_SY142 @ SV17 @ SV74 @ SV57 @ SV39 ) ) ) )
= $false )
| ( ( member_val @ ( sK14_SY141 @ SV74 @ SV39 @ SV57 @ SV17 ) @ SV17 )
= $true )
| ( ( member_val @ SV74 @ SV39 )
= $false )
| ( ( SV57 @ SV74 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[918]) ).
thf(925,plain,
! [SV39: set_val,SV57: val > $o,SV74: val,SV17: set_val] :
( ( ( ~ ~ ( ~ ( member_val @ ( sK20_SY142 @ SV17 @ SV74 @ SV57 @ SV39 ) @ SV39 )
| ~ ( SV57 @ ( sK20_SY142 @ SV17 @ SV74 @ SV57 @ SV39 ) ) ) )
= $false )
| ( ( SV57 @ ( sK14_SY141 @ SV74 @ SV39 @ SV57 @ SV17 ) )
= $true )
| ( ( member_val @ SV74 @ SV39 )
= $false )
| ( ( SV57 @ SV74 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[919]) ).
thf(926,plain,
! [SV39: set_val,SV57: val > $o,SV71: val,SV17: set_val] :
( ( ( ~ ( member_val @ ( sK15_SY142 @ SV17 @ SV71 @ SV57 @ SV39 ) @ SV39 )
| ~ ( SV57 @ ( sK15_SY142 @ SV17 @ SV71 @ SV57 @ SV39 ) ) )
= $false )
| ( ( member_val @ ( sK10_SY141 @ SV71 @ SV39 @ SV57 @ SV17 ) @ SV17 )
= $true )
| ( ( member_val @ SV71 @ ( sup_sup_set_val @ SV17 @ SV39 ) )
= $false )
| ( ( SV57 @ SV71 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[920]) ).
thf(927,plain,
! [SV39: set_val,SV57: val > $o,SV71: val,SV17: set_val] :
( ( ( ~ ( member_val @ ( sK16_SY142 @ SV17 @ SV71 @ SV57 @ SV39 ) @ SV39 )
| ~ ( SV57 @ ( sK16_SY142 @ SV17 @ SV71 @ SV57 @ SV39 ) ) )
= $false )
| ( ( SV57 @ ( sK10_SY141 @ SV71 @ SV39 @ SV57 @ SV17 ) )
= $true )
| ( ( member_val @ SV71 @ ( sup_sup_set_val @ SV17 @ SV39 ) )
= $false )
| ( ( SV57 @ SV71 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[921]) ).
thf(928,plain,
! [SV39: set_val,SV57: val > $o,SV73: val,SV17: set_val] :
( ( ( ~ ( ~ ( member_val @ ( sK17_SY142 @ SV17 @ SV73 @ SV57 @ SV39 ) @ SV39 )
| ~ ( SV57 @ ( sK17_SY142 @ SV17 @ SV73 @ SV57 @ SV39 ) ) ) )
= $true )
| ( ( member_val @ ( sK13_SY141 @ SV73 @ SV39 @ SV57 @ SV17 ) @ SV17 )
= $true )
| ( ( member_val @ SV73 @ SV17 )
= $false )
| ( ( SV57 @ SV73 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[922]) ).
thf(929,plain,
! [SV39: set_val,SV57: val > $o,SV73: val,SV17: set_val] :
( ( ( ~ ( ~ ( member_val @ ( sK18_SY142 @ SV17 @ SV73 @ SV57 @ SV39 ) @ SV39 )
| ~ ( SV57 @ ( sK18_SY142 @ SV17 @ SV73 @ SV57 @ SV39 ) ) ) )
= $true )
| ( ( SV57 @ ( sK13_SY141 @ SV73 @ SV39 @ SV57 @ SV17 ) )
= $true )
| ( ( member_val @ SV73 @ SV17 )
= $false )
| ( ( SV57 @ SV73 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[923]) ).
thf(930,plain,
! [SV39: set_val,SV57: val > $o,SV74: val,SV17: set_val] :
( ( ( ~ ( ~ ( member_val @ ( sK19_SY142 @ SV17 @ SV74 @ SV57 @ SV39 ) @ SV39 )
| ~ ( SV57 @ ( sK19_SY142 @ SV17 @ SV74 @ SV57 @ SV39 ) ) ) )
= $true )
| ( ( member_val @ ( sK14_SY141 @ SV74 @ SV39 @ SV57 @ SV17 ) @ SV17 )
= $true )
| ( ( member_val @ SV74 @ SV39 )
= $false )
| ( ( SV57 @ SV74 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[924]) ).
thf(931,plain,
! [SV39: set_val,SV57: val > $o,SV74: val,SV17: set_val] :
( ( ( ~ ( ~ ( member_val @ ( sK20_SY142 @ SV17 @ SV74 @ SV57 @ SV39 ) @ SV39 )
| ~ ( SV57 @ ( sK20_SY142 @ SV17 @ SV74 @ SV57 @ SV39 ) ) ) )
= $true )
| ( ( SV57 @ ( sK14_SY141 @ SV74 @ SV39 @ SV57 @ SV17 ) )
= $true )
| ( ( member_val @ SV74 @ SV39 )
= $false )
| ( ( SV57 @ SV74 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[925]) ).
thf(932,plain,
! [SV39: set_val,SV57: val > $o,SV71: val,SV17: set_val] :
( ( ( ~ ( member_val @ ( sK15_SY142 @ SV17 @ SV71 @ SV57 @ SV39 ) @ SV39 ) )
= $false )
| ( ( member_val @ ( sK10_SY141 @ SV71 @ SV39 @ SV57 @ SV17 ) @ SV17 )
= $true )
| ( ( member_val @ SV71 @ ( sup_sup_set_val @ SV17 @ SV39 ) )
= $false )
| ( ( SV57 @ SV71 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[926]) ).
thf(933,plain,
! [SV39: set_val,SV71: val,SV17: set_val,SV57: val > $o] :
( ( ( ~ ( SV57 @ ( sK15_SY142 @ SV17 @ SV71 @ SV57 @ SV39 ) ) )
= $false )
| ( ( member_val @ ( sK10_SY141 @ SV71 @ SV39 @ SV57 @ SV17 ) @ SV17 )
= $true )
| ( ( member_val @ SV71 @ ( sup_sup_set_val @ SV17 @ SV39 ) )
= $false )
| ( ( SV57 @ SV71 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[926]) ).
thf(934,plain,
! [SV39: set_val,SV57: val > $o,SV71: val,SV17: set_val] :
( ( ( ~ ( member_val @ ( sK16_SY142 @ SV17 @ SV71 @ SV57 @ SV39 ) @ SV39 ) )
= $false )
| ( ( SV57 @ ( sK10_SY141 @ SV71 @ SV39 @ SV57 @ SV17 ) )
= $true )
| ( ( member_val @ SV71 @ ( sup_sup_set_val @ SV17 @ SV39 ) )
= $false )
| ( ( SV57 @ SV71 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[927]) ).
thf(935,plain,
! [SV39: set_val,SV71: val,SV17: set_val,SV57: val > $o] :
( ( ( ~ ( SV57 @ ( sK16_SY142 @ SV17 @ SV71 @ SV57 @ SV39 ) ) )
= $false )
| ( ( SV57 @ ( sK10_SY141 @ SV71 @ SV39 @ SV57 @ SV17 ) )
= $true )
| ( ( member_val @ SV71 @ ( sup_sup_set_val @ SV17 @ SV39 ) )
= $false )
| ( ( SV57 @ SV71 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[927]) ).
thf(936,plain,
! [SV39: set_val,SV57: val > $o,SV73: val,SV17: set_val] :
( ( ( ~ ( member_val @ ( sK17_SY142 @ SV17 @ SV73 @ SV57 @ SV39 ) @ SV39 )
| ~ ( SV57 @ ( sK17_SY142 @ SV17 @ SV73 @ SV57 @ SV39 ) ) )
= $false )
| ( ( member_val @ ( sK13_SY141 @ SV73 @ SV39 @ SV57 @ SV17 ) @ SV17 )
= $true )
| ( ( member_val @ SV73 @ SV17 )
= $false )
| ( ( SV57 @ SV73 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[928]) ).
thf(937,plain,
! [SV39: set_val,SV57: val > $o,SV73: val,SV17: set_val] :
( ( ( ~ ( member_val @ ( sK18_SY142 @ SV17 @ SV73 @ SV57 @ SV39 ) @ SV39 )
| ~ ( SV57 @ ( sK18_SY142 @ SV17 @ SV73 @ SV57 @ SV39 ) ) )
= $false )
| ( ( SV57 @ ( sK13_SY141 @ SV73 @ SV39 @ SV57 @ SV17 ) )
= $true )
| ( ( member_val @ SV73 @ SV17 )
= $false )
| ( ( SV57 @ SV73 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[929]) ).
thf(938,plain,
! [SV39: set_val,SV57: val > $o,SV74: val,SV17: set_val] :
( ( ( ~ ( member_val @ ( sK19_SY142 @ SV17 @ SV74 @ SV57 @ SV39 ) @ SV39 )
| ~ ( SV57 @ ( sK19_SY142 @ SV17 @ SV74 @ SV57 @ SV39 ) ) )
= $false )
| ( ( member_val @ ( sK14_SY141 @ SV74 @ SV39 @ SV57 @ SV17 ) @ SV17 )
= $true )
| ( ( member_val @ SV74 @ SV39 )
= $false )
| ( ( SV57 @ SV74 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[930]) ).
thf(939,plain,
! [SV39: set_val,SV57: val > $o,SV74: val,SV17: set_val] :
( ( ( ~ ( member_val @ ( sK20_SY142 @ SV17 @ SV74 @ SV57 @ SV39 ) @ SV39 )
| ~ ( SV57 @ ( sK20_SY142 @ SV17 @ SV74 @ SV57 @ SV39 ) ) )
= $false )
| ( ( SV57 @ ( sK14_SY141 @ SV74 @ SV39 @ SV57 @ SV17 ) )
= $true )
| ( ( member_val @ SV74 @ SV39 )
= $false )
| ( ( SV57 @ SV74 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[931]) ).
thf(940,plain,
! [SV39: set_val,SV57: val > $o,SV71: val,SV17: set_val] :
( ( ( member_val @ ( sK15_SY142 @ SV17 @ SV71 @ SV57 @ SV39 ) @ SV39 )
= $true )
| ( ( member_val @ ( sK10_SY141 @ SV71 @ SV39 @ SV57 @ SV17 ) @ SV17 )
= $true )
| ( ( member_val @ SV71 @ ( sup_sup_set_val @ SV17 @ SV39 ) )
= $false )
| ( ( SV57 @ SV71 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[932]) ).
thf(941,plain,
! [SV39: set_val,SV71: val,SV17: set_val,SV57: val > $o] :
( ( ( SV57 @ ( sK15_SY142 @ SV17 @ SV71 @ SV57 @ SV39 ) )
= $true )
| ( ( member_val @ ( sK10_SY141 @ SV71 @ SV39 @ SV57 @ SV17 ) @ SV17 )
= $true )
| ( ( member_val @ SV71 @ ( sup_sup_set_val @ SV17 @ SV39 ) )
= $false )
| ( ( SV57 @ SV71 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[933]) ).
thf(942,plain,
! [SV39: set_val,SV57: val > $o,SV71: val,SV17: set_val] :
( ( ( member_val @ ( sK16_SY142 @ SV17 @ SV71 @ SV57 @ SV39 ) @ SV39 )
= $true )
| ( ( SV57 @ ( sK10_SY141 @ SV71 @ SV39 @ SV57 @ SV17 ) )
= $true )
| ( ( member_val @ SV71 @ ( sup_sup_set_val @ SV17 @ SV39 ) )
= $false )
| ( ( SV57 @ SV71 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[934]) ).
thf(943,plain,
! [SV39: set_val,SV71: val,SV17: set_val,SV57: val > $o] :
( ( ( SV57 @ ( sK16_SY142 @ SV17 @ SV71 @ SV57 @ SV39 ) )
= $true )
| ( ( SV57 @ ( sK10_SY141 @ SV71 @ SV39 @ SV57 @ SV17 ) )
= $true )
| ( ( member_val @ SV71 @ ( sup_sup_set_val @ SV17 @ SV39 ) )
= $false )
| ( ( SV57 @ SV71 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[935]) ).
thf(944,plain,
! [SV39: set_val,SV57: val > $o,SV73: val,SV17: set_val] :
( ( ( ~ ( member_val @ ( sK17_SY142 @ SV17 @ SV73 @ SV57 @ SV39 ) @ SV39 ) )
= $false )
| ( ( member_val @ ( sK13_SY141 @ SV73 @ SV39 @ SV57 @ SV17 ) @ SV17 )
= $true )
| ( ( member_val @ SV73 @ SV17 )
= $false )
| ( ( SV57 @ SV73 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[936]) ).
thf(945,plain,
! [SV39: set_val,SV73: val,SV17: set_val,SV57: val > $o] :
( ( ( ~ ( SV57 @ ( sK17_SY142 @ SV17 @ SV73 @ SV57 @ SV39 ) ) )
= $false )
| ( ( member_val @ ( sK13_SY141 @ SV73 @ SV39 @ SV57 @ SV17 ) @ SV17 )
= $true )
| ( ( member_val @ SV73 @ SV17 )
= $false )
| ( ( SV57 @ SV73 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[936]) ).
thf(946,plain,
! [SV39: set_val,SV57: val > $o,SV73: val,SV17: set_val] :
( ( ( ~ ( member_val @ ( sK18_SY142 @ SV17 @ SV73 @ SV57 @ SV39 ) @ SV39 ) )
= $false )
| ( ( SV57 @ ( sK13_SY141 @ SV73 @ SV39 @ SV57 @ SV17 ) )
= $true )
| ( ( member_val @ SV73 @ SV17 )
= $false )
| ( ( SV57 @ SV73 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[937]) ).
thf(947,plain,
! [SV39: set_val,SV73: val,SV17: set_val,SV57: val > $o] :
( ( ( ~ ( SV57 @ ( sK18_SY142 @ SV17 @ SV73 @ SV57 @ SV39 ) ) )
= $false )
| ( ( SV57 @ ( sK13_SY141 @ SV73 @ SV39 @ SV57 @ SV17 ) )
= $true )
| ( ( member_val @ SV73 @ SV17 )
= $false )
| ( ( SV57 @ SV73 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[937]) ).
thf(948,plain,
! [SV39: set_val,SV57: val > $o,SV74: val,SV17: set_val] :
( ( ( ~ ( member_val @ ( sK19_SY142 @ SV17 @ SV74 @ SV57 @ SV39 ) @ SV39 ) )
= $false )
| ( ( member_val @ ( sK14_SY141 @ SV74 @ SV39 @ SV57 @ SV17 ) @ SV17 )
= $true )
| ( ( member_val @ SV74 @ SV39 )
= $false )
| ( ( SV57 @ SV74 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[938]) ).
thf(949,plain,
! [SV39: set_val,SV74: val,SV17: set_val,SV57: val > $o] :
( ( ( ~ ( SV57 @ ( sK19_SY142 @ SV17 @ SV74 @ SV57 @ SV39 ) ) )
= $false )
| ( ( member_val @ ( sK14_SY141 @ SV74 @ SV39 @ SV57 @ SV17 ) @ SV17 )
= $true )
| ( ( member_val @ SV74 @ SV39 )
= $false )
| ( ( SV57 @ SV74 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[938]) ).
thf(950,plain,
! [SV39: set_val,SV57: val > $o,SV74: val,SV17: set_val] :
( ( ( ~ ( member_val @ ( sK20_SY142 @ SV17 @ SV74 @ SV57 @ SV39 ) @ SV39 ) )
= $false )
| ( ( SV57 @ ( sK14_SY141 @ SV74 @ SV39 @ SV57 @ SV17 ) )
= $true )
| ( ( member_val @ SV74 @ SV39 )
= $false )
| ( ( SV57 @ SV74 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[939]) ).
thf(951,plain,
! [SV39: set_val,SV74: val,SV17: set_val,SV57: val > $o] :
( ( ( ~ ( SV57 @ ( sK20_SY142 @ SV17 @ SV74 @ SV57 @ SV39 ) ) )
= $false )
| ( ( SV57 @ ( sK14_SY141 @ SV74 @ SV39 @ SV57 @ SV17 ) )
= $true )
| ( ( member_val @ SV74 @ SV39 )
= $false )
| ( ( SV57 @ SV74 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[939]) ).
thf(952,plain,
! [SV39: set_val,SV57: val > $o,SV73: val,SV17: set_val] :
( ( ( member_val @ ( sK17_SY142 @ SV17 @ SV73 @ SV57 @ SV39 ) @ SV39 )
= $true )
| ( ( member_val @ ( sK13_SY141 @ SV73 @ SV39 @ SV57 @ SV17 ) @ SV17 )
= $true )
| ( ( member_val @ SV73 @ SV17 )
= $false )
| ( ( SV57 @ SV73 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[944]) ).
thf(953,plain,
! [SV39: set_val,SV73: val,SV17: set_val,SV57: val > $o] :
( ( ( SV57 @ ( sK17_SY142 @ SV17 @ SV73 @ SV57 @ SV39 ) )
= $true )
| ( ( member_val @ ( sK13_SY141 @ SV73 @ SV39 @ SV57 @ SV17 ) @ SV17 )
= $true )
| ( ( member_val @ SV73 @ SV17 )
= $false )
| ( ( SV57 @ SV73 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[945]) ).
thf(954,plain,
! [SV39: set_val,SV57: val > $o,SV73: val,SV17: set_val] :
( ( ( member_val @ ( sK18_SY142 @ SV17 @ SV73 @ SV57 @ SV39 ) @ SV39 )
= $true )
| ( ( SV57 @ ( sK13_SY141 @ SV73 @ SV39 @ SV57 @ SV17 ) )
= $true )
| ( ( member_val @ SV73 @ SV17 )
= $false )
| ( ( SV57 @ SV73 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[946]) ).
thf(955,plain,
! [SV39: set_val,SV73: val,SV17: set_val,SV57: val > $o] :
( ( ( SV57 @ ( sK18_SY142 @ SV17 @ SV73 @ SV57 @ SV39 ) )
= $true )
| ( ( SV57 @ ( sK13_SY141 @ SV73 @ SV39 @ SV57 @ SV17 ) )
= $true )
| ( ( member_val @ SV73 @ SV17 )
= $false )
| ( ( SV57 @ SV73 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[947]) ).
thf(956,plain,
! [SV39: set_val,SV57: val > $o,SV74: val,SV17: set_val] :
( ( ( member_val @ ( sK19_SY142 @ SV17 @ SV74 @ SV57 @ SV39 ) @ SV39 )
= $true )
| ( ( member_val @ ( sK14_SY141 @ SV74 @ SV39 @ SV57 @ SV17 ) @ SV17 )
= $true )
| ( ( member_val @ SV74 @ SV39 )
= $false )
| ( ( SV57 @ SV74 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[948]) ).
thf(957,plain,
! [SV39: set_val,SV74: val,SV17: set_val,SV57: val > $o] :
( ( ( SV57 @ ( sK19_SY142 @ SV17 @ SV74 @ SV57 @ SV39 ) )
= $true )
| ( ( member_val @ ( sK14_SY141 @ SV74 @ SV39 @ SV57 @ SV17 ) @ SV17 )
= $true )
| ( ( member_val @ SV74 @ SV39 )
= $false )
| ( ( SV57 @ SV74 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[949]) ).
thf(958,plain,
! [SV39: set_val,SV57: val > $o,SV74: val,SV17: set_val] :
( ( ( member_val @ ( sK20_SY142 @ SV17 @ SV74 @ SV57 @ SV39 ) @ SV39 )
= $true )
| ( ( SV57 @ ( sK14_SY141 @ SV74 @ SV39 @ SV57 @ SV17 ) )
= $true )
| ( ( member_val @ SV74 @ SV39 )
= $false )
| ( ( SV57 @ SV74 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[950]) ).
thf(959,plain,
! [SV39: set_val,SV74: val,SV17: set_val,SV57: val > $o] :
( ( ( SV57 @ ( sK20_SY142 @ SV17 @ SV74 @ SV57 @ SV39 ) )
= $true )
| ( ( SV57 @ ( sK14_SY141 @ SV74 @ SV39 @ SV57 @ SV17 ) )
= $true )
| ( ( member_val @ SV74 @ SV39 )
= $false )
| ( ( SV57 @ SV74 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[951]) ).
thf(960,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[389,959,958,957,956,955,954,953,952,943,942,941,940,913,912,905,904,903,902,897,896,893,892,889,888,873,872,863,851,848,836,798,797,783,782,779,763,762,748,747,735,727,726,713,712,710,696,675,674,673,669,658,656,654,653,652,631,615,613,612,611,610,607,601,590,585,582,577,573,565,558,556,553,552,550,548,546,543,540,535,530,527,524,518,511,497,494,492,490,469,468,463,462,459,447,445,443,441,437,390]) ).
thf(961,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[960]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : ITP083^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.02 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.00/0.11 % Computer : n012.cluster.edu
% 0.00/0.11 % Model : x86_64 x86_64
% 0.00/0.11 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.00/0.11 % Memory : 8046.5625MB
% 0.00/0.11 % OS : Linux 6.8.0-71-generic
% 0.00/0.11 % CPULimit : 300
% 0.00/0.11 % WCLimit : 300
% 0.00/0.11 % DateTime : Tue Oct 6 11:16:49 UTC 2026
% 0.00/0.11 % CPUTime :
% 0.00/0.11 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.60/0.92 ..
% 4.60/0.92
% 4.60/0.92 No.of.Axioms: 29
% 4.60/0.92
% 4.60/0.92 Length.of.Defs: 0
% 4.60/0.92
% 4.60/0.92 Contains.Choice.Funs: false
% 4.60/0.92 ..................
% 4.60/0.92
% 4.60/0.92 ********************************
% 4.60/0.92 * All subproblems solved! *
% 4.60/0.92 ********************************
% 4.60/0.92 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:1,axioms:29,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:960,loop_count:0,foatp_calls:1,translation:fof_full)
% 4.60/0.92
% 4.60/0.92 %**** Beginning of derivation protocol ****
% 4.60/0.92 % SZS output start CNFRefutation
% See solution above
% 4.60/0.92
% 4.60/0.92 %**** End of derivation protocol ****
% 4.60/0.92 %**** no. of clauses in derivation: 637 ****
% 4.60/0.92 %**** clause counter: 960 ****
% 4.60/0.92
% 4.60/0.92 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:1,axioms:29,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:960,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------