%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : ITP079^1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n016.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 10:24:01 AM UTC 2026
% Result : Theorem 24.52s 4.33s
% Output : CNFRefutation 24.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 131
% Syntax : Number of formulae : 2967 ( 932 unt; 0 typ; 0 def)
% Number of atoms : 23817 (8301 equ; 0 cnn)
% Maximal formula atoms : 6 ( 8 avg)
% Number of connectives : 35934 (6068 ~;6649 |; 48 &;22521 @)
% ( 0 <=>; 648 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 4 avg)
% Number of types : 5 ( 4 usr)
% Number of type conns : 1333 (1333 >; 0 *; 0 +; 0 <<)
% Number of symbols : 146 ( 143 usr; 4 con; 0-4 aty)
% Number of variables : 8616 ( 325 ^;8291 !; 0 ?;8616 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_set_set_set_val,type,
set_set_set_val: $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_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_if_o_set_val,type,
if_o_set_val: $o > ( $o > set_val ) > ( $o > set_val ) > $o > set_val ).
thf(tp_if_set_set_val,type,
if_set_set_val: $o > set_set_val > set_set_val > set_set_val ).
thf(tp_if_set_val,type,
if_set_val: $o > set_val > set_val > set_val ).
thf(tp_if_val,type,
if_val: $o > val > val > val ).
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_ord_le1135847966et_val,type,
ord_le1135847966et_val: set_set_set_val > set_set_set_val > $o ).
thf(tp_ord_le1441829300et_val,type,
ord_le1441829300et_val: ( $o > $o > set_val ) > ( $o > $o > set_val ) > $o ).
thf(tp_ord_le1742111550et_val,type,
ord_le1742111550et_val: set_set_val > set_set_val > $o ).
thf(tp_ord_le936627147et_val,type,
ord_le936627147et_val: ( $o > set_set_val ) > ( $o > set_set_val ) > $o ).
thf(tp_ord_le994826475et_val,type,
ord_le994826475et_val: ( $o > set_val ) > ( $o > set_val ) > $o ).
thf(tp_ord_less_eq_o_val,type,
ord_less_eq_o_val: ( $o > val ) > ( $o > val ) > $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_ord_less_set_set_val,type,
ord_less_set_set_val: set_set_val > set_set_val > $o ).
thf(tp_ord_less_set_val,type,
ord_less_set_val: set_val > set_val > $o ).
thf(tp_ord_less_val,type,
ord_less_val: val > val > $o ).
thf(tp_order_1139042361al_val,type,
order_1139042361al_val: ( val > val ) > $o ).
thf(tp_order_1205732848et_val,type,
order_1205732848et_val: ( val > $o > set_val ) > $o ).
thf(tp_order_1375876562al_val,type,
order_1375876562al_val: ( set_val > val ) > $o ).
thf(tp_order_1484138386et_val,type,
order_1484138386et_val: ( val > set_val ) > $o ).
thf(tp_order_1520822002al_val,type,
order_1520822002al_val: ( set_set_val > val ) > $o ).
thf(tp_order_1689798834al_val,type,
order_1689798834al_val: ( val > val ) > $o ).
thf(tp_order_1719375026et_val,type,
order_1719375026et_val: ( set_val > set_val ) > $o ).
thf(tp_order_1945059954et_val,type,
order_1945059954et_val: ( val > set_set_val ) > $o ).
thf(tp_order_1957703570et_val,type,
order_1957703570et_val: ( set_val > set_set_val ) > $o ).
thf(tp_order_1960465943et_val,type,
order_1960465943et_val: ( set_val > $o ) > set_val ).
thf(tp_order_23236447al_val,type,
order_23236447al_val: ( ( $o > set_val ) > val ) > $o ).
thf(tp_order_255079095et_val,type,
order_255079095et_val: ( val > $o > set_val ) > $o ).
thf(tp_order_544136439et_val,type,
order_544136439et_val: ( set_set_val > $o ) > set_set_val ).
thf(tp_order_650823122et_val,type,
order_650823122et_val: ( set_set_val > set_val ) > $o ).
thf(tp_order_68692473et_val,type,
order_68692473et_val: ( val > set_set_val ) > $o ).
thf(tp_order_985126002et_val,type,
order_985126002et_val: ( ( $o > set_val ) > $o ) > $o > set_val ).
thf(tp_order_99134233et_val,type,
order_99134233et_val: ( val > set_val ) > $o ).
thf(tp_order_Greatest_val,type,
order_Greatest_val: ( val > $o ) > val ).
thf(tp_p,type,
p: set_val ).
thf(tp_refine1034950713et_val,type,
refine1034950713et_val: set_set_val > set_set_val > $o ).
thf(tp_refine1169396807et_val,type,
refine1169396807et_val: ( ( $o > set_val ) > set_set_val ) > ( set_set_val > $o > set_val ) > $o ).
thf(tp_refine1315043946et_val,type,
refine1315043946et_val: ( set_val > set_set_val ) > ( set_set_val > set_val ) > $o ).
thf(tp_refine1506227973et_val,type,
refine1506227973et_val: ( set_set_val > set_set_val > $o ) > $o ).
thf(tp_refine1593386065et_val,type,
refine1593386065et_val: ( $o > set_val ) > ( $o > set_val ) > $o ).
thf(tp_refine16560100et_val,type,
refine16560100et_val: ( ( $o > set_val ) > ( $o > set_val ) > $o ) > $o ).
thf(tp_refine1893322264et_val,type,
refine1893322264et_val: set_val > set_val > $o ).
thf(tp_refine1908789496et_val,type,
refine1908789496et_val: set_set_val > set_set_val > $o ).
thf(tp_refine1924899106et_val,type,
refine1924899106et_val: ( ( $o > set_val ) > $o > set_val ) > ( ( $o > set_val ) > $o > set_val ) > $o ).
thf(tp_refine1929691018et_val,type,
refine1929691018et_val: ( set_val > set_val ) > ( set_val > set_val ) > $o ).
thf(tp_refine1948536167et_val,type,
refine1948536167et_val: ( ( $o > set_val ) > set_val ) > ( set_val > $o > set_val ) > $o ).
thf(tp_refine2021912633al_val,type,
refine2021912633al_val: val > val > $o ).
thf(tp_refine2057434761et_val,type,
refine2057434761et_val: ( set_val > set_val ) > $o ).
thf(tp_refine275900453et_val,type,
refine275900453et_val: ( set_val > set_val > $o ) > $o ).
thf(tp_refine403244856MP_val,type,
refine403244856MP_val: val > val > $o ).
thf(tp_refine511606705et_val,type,
refine511606705et_val: ( $o > set_val ) > ( $o > set_val ) > $o ).
thf(tp_refine51544255et_val,type,
refine51544255et_val: ( set_val > $o > set_val ) > ( ( $o > set_val ) > set_val ) > $o ).
thf(tp_refine654574649et_val,type,
refine654574649et_val: set_val > set_val > $o ).
thf(tp_refine67622213oc_val,type,
refine67622213oc_val: ( val > val > $o ) > $o ).
thf(tp_refine8163498et_val,type,
refine8163498et_val: ( set_set_val > set_val ) > ( set_val > set_set_val ) > $o ).
thf(tp_refine855985034et_val,type,
refine855985034et_val: ( set_set_val > set_set_val ) > ( set_set_val > set_set_val ) > $o ).
thf(tp_refine86398879et_val,type,
refine86398879et_val: ( set_set_val > $o > set_val ) > ( ( $o > set_val ) > set_set_val ) > $o ).
thf(tp_sK10_SY763,type,
sK10_SY763: ( val > $o ) > ( val > $o ) > val ).
thf(tp_sK11_SY788,type,
sK11_SY788: set_val > ( set_val > $o ) > set_val ).
thf(tp_sK12_SY856,type,
sK12_SY856: ( set_val > set_val ) > set_val ).
thf(tp_sK13_SY1047,type,
sK13_SY1047: ( set_val > set_val ) > set_val ).
thf(tp_sK14_SY882,type,
sK14_SY882: ( set_val > $o ) > set_val > ( set_val > $o ) > set_val ).
thf(tp_sK15_SY991,type,
sK15_SY991: ( $o > set_val ) > ( $o > set_val ) > $o ).
thf(tp_sK16_SY992,type,
sK16_SY992: ( set_val > set_val ) > ( set_val > set_val ) > set_val ).
thf(tp_sK17_SY1014,type,
sK17_SY1014: set_val > set_val > val ).
thf(tp_sK18_SY1033,type,
sK18_SY1033: set_val > set_val > val ).
thf(tp_sK19_SY1048,type,
sK19_SY1048: ( set_val > set_val ) > ( set_val > set_val ) > set_val ).
thf(tp_sK1_SY699,type,
sK1_SY699: ( set_val > set_val ) > set_val ).
thf(tp_sK20_SY439,type,
sK20_SY439: set_val > set_val > ( set_val > set_val > set_val ) > set_val ).
thf(tp_sK21_SY1049,type,
sK21_SY1049: set_val > set_val > ( set_val > set_val > set_val ) > set_val ).
thf(tp_sK22_SY726,type,
sK22_SY726: val > val > set_val > ( val > set_val ) > val ).
thf(tp_sK23_SY910,type,
sK23_SY910: set_val > set_set_val > set_val > ( set_val > set_set_val ) > set_val ).
thf(tp_sK24_SY737,type,
sK24_SY737: set_val > set_val > set_set_val > ( set_val > set_set_val ) > set_val ).
thf(tp_sK25_SY744,type,
sK25_SY744: set_val > set_val > val > ( set_val > val ) > set_val ).
thf(tp_sK26_SY919,type,
sK26_SY919: set_val > set_set_val > set_val > ( set_val > set_set_val ) > set_val ).
thf(tp_sK27_SY922,type,
sK27_SY922: val > set_val > val > ( val > set_val ) > val ).
thf(tp_sK28_SY925,type,
sK28_SY925: set_val > set_val > set_val > ( set_val > set_val ) > set_val ).
thf(tp_sK29_SY766,type,
sK29_SY766: set_val > set_val > set_set_val > ( set_val > set_set_val ) > set_val ).
thf(tp_sK2_SY781,type,
sK2_SY781: set_val > set_val > val ).
thf(tp_sK30_SY931,type,
sK30_SY931: set_set_val > set_val > set_set_val > ( set_set_val > set_val ) > set_set_val ).
thf(tp_sK31_SY776,type,
sK31_SY776: set_set_val > set_set_val > set_val > ( set_set_val > set_val ) > set_set_val ).
thf(tp_sK32_SY939,type,
sK32_SY939: val > set_val > val > ( val > set_val ) > val ).
thf(tp_sK33_SY944,type,
sK33_SY944: set_val > set_val > set_val > ( set_val > set_val ) > set_val ).
thf(tp_sK34_SY947,type,
sK34_SY947: set_val > val > set_val > ( set_val > val ) > set_val ).
thf(tp_sK35_SY950,type,
sK35_SY950: set_val > set_val > set_val > ( set_val > set_val ) > set_val ).
thf(tp_sK36_SY822,type,
sK36_SY822: val > val > set_val > ( val > set_val ) > val ).
thf(tp_sK37_SY830,type,
sK37_SY830: set_set_val > set_set_val > set_val > ( set_set_val > set_val ) > set_set_val ).
thf(tp_sK38_SY835,type,
sK38_SY835: set_val > set_val > set_val > ( set_val > set_val ) > set_val ).
thf(tp_sK39_SY854,type,
sK39_SY854: set_val > set_val > set_val > ( set_val > set_val ) > set_val ).
thf(tp_sK3_SY807,type,
sK3_SY807: ( val > $o ) > ( val > $o ) > val ).
thf(tp_sK40_SY860,type,
sK40_SY860: set_val > set_val > val > ( set_val > val ) > set_val ).
thf(tp_sK41_SY976,type,
sK41_SY976: set_val > val > set_val > ( set_val > val ) > set_val ).
thf(tp_sK42_SY979,type,
sK42_SY979: set_set_val > set_val > set_set_val > ( set_set_val > set_val ) > set_set_val ).
thf(tp_sK43_SY879,type,
sK43_SY879: set_val > set_val > set_val > ( set_val > set_val ) > set_val ).
thf(tp_sK44_SY1051,type,
sK44_SY1051: ( val > set_val ) > set_val > val > val > val ).
thf(tp_sK45_SY1052,type,
sK45_SY1052: ( set_val > set_set_val ) > set_val > set_set_val > set_val > set_val ).
thf(tp_sK46_SY1053,type,
sK46_SY1053: ( set_val > set_set_val ) > set_set_val > set_val > set_val > set_val ).
thf(tp_sK47_SY1054,type,
sK47_SY1054: ( set_val > val ) > val > set_val > set_val > set_val ).
thf(tp_sK48_SY1055,type,
sK48_SY1055: ( set_val > set_set_val ) > set_val > set_set_val > set_val > set_val ).
thf(tp_sK49_SY1056,type,
sK49_SY1056: ( val > set_val ) > val > set_val > val > val ).
thf(tp_sK4_SY887,type,
sK4_SY887: ( set_val > set_val ) > ( set_val > set_val ) > set_val ).
thf(tp_sK50_SY1057,type,
sK50_SY1057: ( set_val > set_val ) > set_val > set_val > set_val > set_val ).
thf(tp_sK51_SY1058,type,
sK51_SY1058: ( set_val > set_set_val ) > set_set_val > set_val > set_val > set_val ).
thf(tp_sK52_SY1059,type,
sK52_SY1059: ( set_set_val > set_val ) > set_set_val > set_val > set_set_val > set_set_val ).
thf(tp_sK53_SY1060,type,
sK53_SY1060: ( set_set_val > set_val ) > set_val > set_set_val > set_set_val > set_set_val ).
thf(tp_sK54_SY1061,type,
sK54_SY1061: ( val > set_val ) > val > set_val > val > val ).
thf(tp_sK55_SY1062,type,
sK55_SY1062: ( set_val > set_val ) > set_val > set_val > set_val > set_val ).
thf(tp_sK56_SY1063,type,
sK56_SY1063: ( set_val > val ) > set_val > val > set_val > set_val ).
thf(tp_sK57_SY1064,type,
sK57_SY1064: ( set_val > set_val ) > set_val > set_val > set_val > set_val ).
thf(tp_sK58_SY1065,type,
sK58_SY1065: ( val > set_val ) > set_val > val > val > val ).
thf(tp_sK59_SY1066,type,
sK59_SY1066: ( set_set_val > set_val ) > set_val > set_set_val > set_set_val > set_set_val ).
thf(tp_sK5_SY894,type,
sK5_SY894: ( $o > set_val ) > ( $o > set_val ) > $o ).
thf(tp_sK60_SY1067,type,
sK60_SY1067: ( set_val > set_val ) > set_val > set_val > set_val > set_val ).
thf(tp_sK61_SY1068,type,
sK61_SY1068: ( set_val > set_val ) > set_val > set_val > set_val > set_val ).
thf(tp_sK62_SY1069,type,
sK62_SY1069: ( set_val > val ) > val > set_val > set_val > set_val ).
thf(tp_sK63_SY1070,type,
sK63_SY1070: ( set_val > val ) > set_val > val > set_val > set_val ).
thf(tp_sK64_SY1071,type,
sK64_SY1071: ( set_set_val > set_val ) > set_set_val > set_val > set_set_val > set_set_val ).
thf(tp_sK65_SY1072,type,
sK65_SY1072: ( set_val > set_val ) > set_val > set_val > set_val > set_val ).
thf(tp_sK66_SY988,type,
sK66_SY988: set_val > ( set_val > $o ) > ( set_val > $o ) > set_val ).
thf(tp_sK67_SY988,type,
sK67_SY988: set_val > ( set_val > $o ) > ( set_val > $o ) > set_val ).
thf(tp_sK68_SY441,type,
sK68_SY441: set_val > set_val > ( set_val > set_val > set_val ) > set_val ).
thf(tp_sK69_SY1077,type,
sK69_SY1077: ( set_val > set_val > set_val ) > set_val > set_val > set_val ).
thf(tp_sK6_SY1044,type,
sK6_SY1044: ( set_val > set_val ) > set_val ).
thf(tp_sK70_SY1081,type,
sK70_SY1081: set_val > set_val > ( set_val > set_val > set_val ) > set_val ).
thf(tp_sK7_SY437,type,
sK7_SY437: set_val > set_val > ( set_val > set_val > set_val ) > set_val ).
thf(tp_sK8_SY1045,type,
sK8_SY1045: ( set_val > set_val ) > ( set_val > set_val ) > set_val ).
thf(tp_sK9_SY1046,type,
sK9_SY1046: ( set_val > set_val > set_val ) > set_val > set_val > set_val ).
thf(tp_scc,type,
scc: set_val ).
thf(tp_set_or1288365508an_val,type,
set_or1288365508an_val: val > set_val ).
thf(tp_set_or1337784553et_val,type,
set_or1337784553et_val: set_set_val > set_set_set_val ).
thf(tp_set_or1554624499et_val,type,
set_or1554624499et_val: set_val > set_val > set_set_val ).
thf(tp_set_or18208019st_val,type,
set_or18208019st_val: val > val > set_val ).
thf(tp_set_or2126567818an_val,type,
set_or2126567818an_val: val > val > set_val ).
thf(tp_set_or650197513et_val,type,
set_or650197513et_val: set_val > set_set_val ).
thf(tp_set_or867701765et_val,type,
set_or867701765et_val: set_val > set_set_val ).
thf(tp_set_ord_atLeast_val,type,
set_ord_atLeast_val: val > set_val ).
thf(tp_set_ord_atMost_val,type,
set_ord_atMost_val: val > set_val ).
thf(tp_set_ord_lessThan_val,type,
set_ord_lessThan_val: val > set_val ).
thf(tp_sup_sup_set_val,type,
sup_sup_set_val: set_val > set_val > set_val ).
thf(tp_uminus1961393973et_val,type,
uminus1961393973et_val: set_val > set_val ).
thf(3,axiom,
! [P: $o] :
( ( P = $true )
| ( P = $false ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_If_3_1_If_001t__Set__Oset_It__Set__Oset_Itf__val_J_J_T) ).
thf(10,axiom,
! [A3: set_val,B3: set_val] :
( ( A3
= ( sup_sup_set_val @ A3 @ B3 ) )
=> ( ord_less_eq_set_val @ B3 @ A3 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_349_sup_OorderI) ).
thf(11,axiom,
! [F: set_val > set_val > set_val,X: set_val,Y2: set_val] :
( ! [X2: set_val,Y3: set_val] : ( ord_less_eq_set_val @ X2 @ ( F @ X2 @ Y3 ) )
=> ( ! [X2: set_val,Y3: set_val] : ( ord_less_eq_set_val @ Y3 @ ( F @ X2 @ Y3 ) )
=> ( ! [X2: set_val,Y3: set_val,Z3: set_val] :
( ( ord_less_eq_set_val @ Y3 @ X2 )
=> ( ( ord_less_eq_set_val @ Z3 @ X2 )
=> ( ord_less_eq_set_val @ ( F @ Y3 @ Z3 ) @ X2 ) ) )
=> ( ( sup_sup_set_val @ X @ Y2 )
= ( F @ X @ Y2 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_348_sup__unique) ).
thf(12,axiom,
! [B3: set_val,A3: set_val] :
( ( ord_less_eq_set_val @ B3 @ A3 )
=> ( ( sup_sup_set_val @ A3 @ B3 )
= A3 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_347_sup_Oabsorb1) ).
thf(13,axiom,
! [A3: set_val,B3: set_val] :
( ( ord_less_eq_set_val @ A3 @ B3 )
=> ( ( sup_sup_set_val @ A3 @ B3 )
= B3 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_346_sup_Oabsorb2) ).
thf(14,axiom,
! [Y2: set_val,X: set_val] :
( ( ord_less_eq_set_val @ Y2 @ X )
=> ( ( sup_sup_set_val @ X @ Y2 )
= X ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_345_sup__absorb1) ).
thf(15,axiom,
! [X: set_val,Y2: set_val] :
( ( ord_less_eq_set_val @ X @ Y2 )
=> ( ( sup_sup_set_val @ X @ Y2 )
= Y2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_344_sup__absorb2) ).
thf(16,axiom,
! [B3: set_val,C: set_val,A3: set_val] :
( ( ord_less_eq_set_val @ ( sup_sup_set_val @ B3 @ C ) @ A3 )
=> ~ ( ( ord_less_eq_set_val @ B3 @ A3 )
=> ~ ( ord_less_eq_set_val @ C @ A3 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_343_sup_OboundedE) ).
thf(17,axiom,
! [B3: set_val,A3: set_val,C: set_val] :
( ( ord_less_eq_set_val @ B3 @ A3 )
=> ( ( ord_less_eq_set_val @ C @ A3 )
=> ( ord_less_eq_set_val @ ( sup_sup_set_val @ B3 @ C ) @ A3 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_342_sup_OboundedI) ).
thf(18,axiom,
( ord_less_eq_set_val
= ( ^ [B4: set_val,A4: set_val] :
( A4
= ( sup_sup_set_val @ A4 @ B4 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_341_sup_Oorder__iff) ).
thf(19,axiom,
! [A3: set_val,B3: set_val] : ( ord_less_eq_set_val @ A3 @ ( sup_sup_set_val @ A3 @ B3 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_340_sup_Ocobounded1) ).
thf(20,axiom,
! [B3: set_val,A3: set_val] : ( ord_less_eq_set_val @ B3 @ ( sup_sup_set_val @ A3 @ B3 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_339_sup_Ocobounded2) ).
thf(21,axiom,
( ord_less_eq_set_val
= ( ^ [B4: set_val,A4: set_val] :
( ( sup_sup_set_val @ A4 @ B4 )
= A4 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_338_sup_Oabsorb__iff1) ).
thf(22,axiom,
( ord_less_eq_set_val
= ( ^ [A4: set_val,B4: set_val] :
( ( sup_sup_set_val @ A4 @ B4 )
= B4 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_337_sup_Oabsorb__iff2) ).
thf(23,axiom,
! [C: set_val,A3: set_val,B3: set_val] :
( ( ord_less_eq_set_val @ C @ A3 )
=> ( ord_less_eq_set_val @ C @ ( sup_sup_set_val @ A3 @ B3 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_336_sup_OcoboundedI1) ).
thf(24,axiom,
! [C: set_val,B3: set_val,A3: set_val] :
( ( ord_less_eq_set_val @ C @ B3 )
=> ( ord_less_eq_set_val @ C @ ( sup_sup_set_val @ A3 @ B3 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_335_sup_OcoboundedI2) ).
thf(26,axiom,
! [A: set_val,B: set_val,C2: set_val] :
( ( ord_less_eq_set_val @ ( sup_sup_set_val @ A @ B ) @ C2 )
= ( ( ord_less_eq_set_val @ A @ C2 )
& ( ord_less_eq_set_val @ B @ C2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_333_Un__subset__iff) ).
thf(27,axiom,
! [B3: set_val,C: set_val,A3: set_val] :
( ( ord_less_eq_set_val @ ( sup_sup_set_val @ B3 @ C ) @ A3 )
= ( ( ord_less_eq_set_val @ B3 @ A3 )
& ( ord_less_eq_set_val @ C @ A3 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_332_sup_Obounded__iff) ).
thf(28,axiom,
! [X: set_val,Y2: set_val,Z2: set_val] :
( ( ord_less_eq_set_val @ ( sup_sup_set_val @ X @ Y2 ) @ Z2 )
= ( ( ord_less_eq_set_val @ X @ Z2 )
& ( ord_less_eq_set_val @ Y2 @ Z2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_331_le__sup__iff) ).
thf(32,axiom,
! [Y2: set_val,X: set_val] :
( ( ord_less_eq_set_val @ ( uminus1961393973et_val @ Y2 ) @ X )
=> ( ord_less_eq_set_val @ ( uminus1961393973et_val @ X ) @ Y2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_327_compl__le__swap2) ).
thf(33,axiom,
! [Y2: set_val,X: set_val] :
( ( ord_less_eq_set_val @ Y2 @ ( uminus1961393973et_val @ X ) )
=> ( ord_less_eq_set_val @ X @ ( uminus1961393973et_val @ Y2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_326_compl__le__swap1) ).
thf(34,axiom,
! [X: set_val,Y2: set_val] :
( ( ord_less_eq_set_val @ X @ Y2 )
=> ( ord_less_eq_set_val @ ( uminus1961393973et_val @ Y2 ) @ ( uminus1961393973et_val @ X ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_325_compl__mono) ).
thf(35,axiom,
! [X: set_val,Y2: set_val] :
( ( ord_less_eq_set_val @ ( uminus1961393973et_val @ X ) @ ( uminus1961393973et_val @ Y2 ) )
= ( ord_less_eq_set_val @ Y2 @ X ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_324_compl__le__compl__iff) ).
thf(36,axiom,
( ord_less_eq_set_val
= ( ^ [A2: set_val,B2: set_val] :
( ( ord_less_set_val @ A2 @ B2 )
| ( A2 = B2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_323_subset__iff__psubset__eq) ).
thf(37,axiom,
! [A: set_val,B: set_val,C2: set_val] :
( ( ord_less_eq_set_val @ A @ B )
=> ( ( ord_less_set_val @ B @ C2 )
=> ( ord_less_set_val @ A @ C2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_322_subset__psubset__trans) ).
thf(38,axiom,
( ord_less_set_val
= ( ^ [A2: set_val,B2: set_val] :
( ( ord_less_eq_set_val @ A2 @ B2 )
& ~ ( ord_less_eq_set_val @ B2 @ A2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_321_subset__not__subset__eq) ).
thf(39,axiom,
! [A: set_val,B: set_val,C2: set_val] :
( ( ord_less_set_val @ A @ B )
=> ( ( ord_less_eq_set_val @ B @ C2 )
=> ( ord_less_set_val @ A @ C2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_320_psubset__subset__trans) ).
thf(40,axiom,
! [A: set_val,B: set_val] :
( ( ord_less_set_val @ A @ B )
=> ( ord_less_eq_set_val @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_319_psubset__imp__subset) ).
thf(41,axiom,
( ord_less_set_val
= ( ^ [A2: set_val,B2: set_val] :
( ( ord_less_eq_set_val @ A2 @ B2 )
& ( A2 != B2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_318_psubset__eq) ).
thf(42,axiom,
! [A: set_val,B: set_val] :
( ( ord_less_set_val @ A @ B )
=> ~ ( ( ord_less_eq_set_val @ A @ B )
=> ( ord_less_eq_set_val @ B @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_317_psubsetE) ).
thf(43,axiom,
! [A3: set_val,B3: set_val] :
( ( A3 != B3 )
=> ( ( ord_less_eq_set_val @ A3 @ B3 )
=> ( ord_less_set_val @ A3 @ B3 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_316_order_Onot__eq__order__implies__strict) ).
thf(44,axiom,
! [B3: set_val,A3: set_val] :
( ( ord_less_set_val @ B3 @ A3 )
=> ( ord_less_eq_set_val @ B3 @ A3 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_315_dual__order_Ostrict__implies__order) ).
thf(45,axiom,
( ord_less_set_val
= ( ^ [B4: set_val,A4: set_val] :
( ( ord_less_eq_set_val @ B4 @ A4 )
& ( A4 != B4 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_314_dual__order_Ostrict__iff__order) ).
thf(46,axiom,
( ord_less_eq_set_val
= ( ^ [B4: set_val,A4: set_val] :
( ( ord_less_set_val @ B4 @ A4 )
| ( A4 = B4 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_313_dual__order_Oorder__iff__strict) ).
thf(47,axiom,
! [A3: set_val,B3: set_val] :
( ( ord_less_set_val @ A3 @ B3 )
=> ( ord_less_eq_set_val @ A3 @ B3 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_312_order_Ostrict__implies__order) ).
thf(48,axiom,
! [B3: set_val,A3: set_val,C: set_val] :
( ( ord_less_set_val @ B3 @ A3 )
=> ( ( ord_less_eq_set_val @ C @ B3 )
=> ( ord_less_set_val @ C @ A3 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_311_dual__order_Ostrict__trans2) ).
thf(49,axiom,
! [B3: set_val,A3: set_val,C: set_val] :
( ( ord_less_eq_set_val @ B3 @ A3 )
=> ( ( ord_less_set_val @ C @ B3 )
=> ( ord_less_set_val @ C @ A3 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_310_dual__order_Ostrict__trans1) ).
thf(50,axiom,
( ord_less_set_val
= ( ^ [A4: set_val,B4: set_val] :
( ( ord_less_eq_set_val @ A4 @ B4 )
& ( A4 != B4 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_309_order_Ostrict__iff__order) ).
thf(51,axiom,
( ord_less_eq_set_val
= ( ^ [A4: set_val,B4: set_val] :
( ( ord_less_set_val @ A4 @ B4 )
| ( A4 = B4 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_308_order_Oorder__iff__strict) ).
thf(52,axiom,
! [A3: set_val,B3: set_val,C: set_val] :
( ( ord_less_set_val @ A3 @ B3 )
=> ( ( ord_less_eq_set_val @ B3 @ C )
=> ( ord_less_set_val @ A3 @ C ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_307_order_Ostrict__trans2) ).
thf(53,axiom,
! [A3: set_val,B3: set_val,C: set_val] :
( ( ord_less_eq_set_val @ A3 @ B3 )
=> ( ( ord_less_set_val @ B3 @ C )
=> ( ord_less_set_val @ A3 @ C ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_306_order_Ostrict__trans1) ).
thf(54,axiom,
( ord_less_set_val
= ( ^ [X3: set_val,Y4: set_val] :
( ( ord_less_eq_set_val @ X3 @ Y4 )
& ~ ( ord_less_eq_set_val @ Y4 @ X3 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_305_less__le__not__le) ).
thf(55,axiom,
! [X: set_val,Y2: set_val] :
( ( ord_less_eq_set_val @ X @ Y2 )
=> ( ( ord_less_set_val @ X @ Y2 )
| ( X = Y2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_304_le__imp__less__or__eq) ).
thf(56,axiom,
! [X: set_val,Y2: set_val,Z2: set_val] :
( ( ord_less_set_val @ X @ Y2 )
=> ( ( ord_less_eq_set_val @ Y2 @ Z2 )
=> ( ord_less_set_val @ X @ Z2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_303_less__le__trans) ).
thf(57,axiom,
! [X: set_val,Y2: set_val,Z2: set_val] :
( ( ord_less_eq_set_val @ X @ Y2 )
=> ( ( ord_less_set_val @ Y2 @ Z2 )
=> ( ord_less_set_val @ X @ Z2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_302_le__less__trans) ).
thf(58,axiom,
! [X: set_val,Y2: set_val] :
( ( ord_less_set_val @ X @ Y2 )
=> ( ord_less_eq_set_val @ X @ Y2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_301_less__imp__le) ).
thf(59,axiom,
! [X: set_val,Y2: set_val] :
( ( ord_less_eq_set_val @ X @ Y2 )
=> ( ( ~ ( ord_less_set_val @ X @ Y2 ) )
= ( X = Y2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_300_antisym__conv2) ).
thf(60,axiom,
! [X: set_val,Y2: set_val] :
( ~ ( ord_less_set_val @ X @ Y2 )
=> ( ( ord_less_eq_set_val @ X @ Y2 )
= ( X = Y2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_299_antisym__conv1) ).
thf(61,axiom,
! [A3: set_val,B3: set_val] :
( ( ord_less_eq_set_val @ A3 @ B3 )
=> ( ( A3 != B3 )
=> ( ord_less_set_val @ A3 @ B3 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_298_le__neq__trans) ).
thf(62,axiom,
! [A3: set_val,F: set_val > set_val,B3: set_val,C: set_val] :
( ( ord_less_set_val @ A3 @ ( F @ B3 ) )
=> ( ( ord_less_eq_set_val @ B3 @ C )
=> ( ! [X2: set_val,Y3: set_val] :
( ( ord_less_eq_set_val @ X2 @ Y3 )
=> ( ord_less_eq_set_val @ ( F @ X2 ) @ ( F @ Y3 ) ) )
=> ( ord_less_set_val @ A3 @ ( F @ C ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_297_order__less__le__subst1) ).
thf(63,axiom,
! [A3: set_val,B3: set_val,F: set_val > set_val,C: set_val] :
( ( ord_less_eq_set_val @ A3 @ B3 )
=> ( ( ord_less_set_val @ ( F @ B3 ) @ C )
=> ( ! [X2: set_val,Y3: set_val] :
( ( ord_less_eq_set_val @ X2 @ Y3 )
=> ( ord_less_eq_set_val @ ( F @ X2 ) @ ( F @ Y3 ) ) )
=> ( ord_less_set_val @ ( F @ A3 ) @ C ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_296_order__le__less__subst2) ).
thf(64,axiom,
( ord_less_set_val
= ( ^ [X3: set_val,Y4: set_val] :
( ( ord_less_eq_set_val @ X3 @ Y4 )
& ( X3 != Y4 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_295_less__le) ).
thf(65,axiom,
( ord_less_eq_set_val
= ( ^ [X3: set_val,Y4: set_val] :
( ( ord_less_set_val @ X3 @ Y4 )
| ( X3 = Y4 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_294_le__less) ).
thf(66,axiom,
! [Y2: set_val,X: set_val] :
( ( ord_less_eq_set_val @ Y2 @ X )
=> ~ ( ord_less_set_val @ X @ Y2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_293_leD) ).
thf(75,axiom,
! [A: set_val,B: set_val] :
( ( ord_less_eq_set_val @ ( uminus1961393973et_val @ A ) @ ( uminus1961393973et_val @ B ) )
= ( ord_less_eq_set_val @ B @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_284_Compl__subset__Compl__iff) ).
thf(76,axiom,
! [A: set_val,B: set_val] :
( ( ord_less_eq_set_val @ A @ B )
=> ( ord_less_eq_set_val @ ( uminus1961393973et_val @ B ) @ ( uminus1961393973et_val @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_283_Compl__anti__mono) ).
thf(80,axiom,
! [L: set_val,H: set_val,L2: set_val,H2: set_val] :
( ( ( set_or1554624499et_val @ L @ H )
= ( set_or1554624499et_val @ L2 @ H2 ) )
= ( ( ( L = L2 )
& ( H = H2 ) )
| ( ~ ( ord_less_eq_set_val @ L @ H )
& ~ ( ord_less_eq_set_val @ L2 @ H2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_279_Icc__eq__Icc) ).
thf(85,axiom,
! [A: set_val,B: set_val] :
( ( ord_less_eq_set_val @ A @ B )
=> ( ( A != B )
=> ( ord_less_set_val @ A @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_274_psubsetI) ).
thf(112,axiom,
( refine1929691018et_val
= ( ^ [Alpha2: set_val > set_val,Gamma2: set_val > set_val] :
! [C4: set_val,A4: set_val] :
( ( ord_less_eq_set_val @ C4 @ ( Gamma2 @ A4 ) )
= ( ord_less_eq_set_val @ ( Alpha2 @ C4 ) @ A4 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_247_galois__connection__def) ).
thf(121,axiom,
! [Gamma: set_val > set_val,Alpha: set_val > set_val] :
( ! [C3: set_val,A5: set_val] :
( ( ord_less_eq_set_val @ C3 @ ( Gamma @ A5 ) )
= ( ord_less_eq_set_val @ ( Alpha @ C3 ) @ A5 ) )
=> ( refine1929691018et_val @ Alpha @ Gamma ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_238_galois__connection_Ointro) ).
thf(130,axiom,
! [Alpha: set_val > set_val,Gamma: set_val > set_val,C: set_val,A3: set_val] :
( ( refine1929691018et_val @ Alpha @ Gamma )
=> ( ( ord_less_eq_set_val @ C @ ( Gamma @ A3 ) )
= ( ord_less_eq_set_val @ ( Alpha @ C ) @ A3 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_229_galois__connection_Ogalois) ).
thf(139,axiom,
! [Alpha: set_val > set_val,Gamma: set_val > set_val,X: set_val] :
( ( refine1929691018et_val @ Alpha @ Gamma )
=> ( ord_less_eq_set_val @ ( Alpha @ ( Gamma @ X ) ) @ X ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_220_galois__connection_O_092_060alpha_062_092_060gamma_062__defl) ).
thf(140,axiom,
! [Alpha: set_val > set_val,Gamma: set_val > set_val,X: set_val] :
( ( refine1929691018et_val @ Alpha @ Gamma )
=> ( ord_less_eq_set_val @ X @ ( Gamma @ ( Alpha @ X ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_219_galois__connection_O_092_060gamma_062_092_060alpha_062__infl) ).
thf(141,axiom,
refine275900453et_val @ ord_less_eq_set_val,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_218_order__mono__setup_Omono__setup__loc__axioms) ).
thf(154,axiom,
! [F: set_val > set_val] :
( ! [X2: set_val,Y3: set_val] :
( ( ord_less_eq_set_val @ X2 @ Y3 )
=> ( ord_less_eq_set_val @ ( F @ Y3 ) @ ( F @ X2 ) ) )
=> ( order_1719375026et_val @ F ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_205_antimonoI) ).
thf(164,axiom,
( order_1719375026et_val
= ( ^ [F2: set_val > set_val] :
! [X3: set_val,Y4: set_val] :
( ( ord_less_eq_set_val @ X3 @ Y4 )
=> ( ord_less_eq_set_val @ ( F2 @ Y4 ) @ ( F2 @ X3 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_195_antimono__def) ).
thf(174,axiom,
! [F: set_val > set_val,X: set_val,Y2: set_val] :
( ( order_1719375026et_val @ F )
=> ( ( ord_less_eq_set_val @ X @ Y2 )
=> ( ord_less_eq_set_val @ ( F @ Y2 ) @ ( F @ X ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_185_antimonoE) ).
thf(184,axiom,
! [F: set_val > set_val,X: set_val,Y2: set_val] :
( ( order_1719375026et_val @ F )
=> ( ( ord_less_eq_set_val @ X @ Y2 )
=> ( ord_less_eq_set_val @ ( F @ Y2 ) @ ( F @ X ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_175_antimonoD) ).
thf(185,axiom,
( ord_le994826475et_val
= ( ^ [X4: $o > set_val,Y6: $o > set_val] :
( ( ord_less_eq_set_val @ ( X4 @ $false ) @ ( Y6 @ $false ) )
& ( ord_less_eq_set_val @ ( X4 @ $true ) @ ( Y6 @ $true ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_174_le__rel__bool__arg__iff) ).
thf(190,axiom,
! [B3: $o,T2: set_val,M: set_val,E: set_val] :
( ( B3
=> ( ord_less_eq_set_val @ T2 @ M ) )
=> ( ( ~ B3
=> ( ord_less_eq_set_val @ E @ M ) )
=> ( ord_less_eq_set_val @ ( if_set_val @ B3 @ T2 @ E ) @ M ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_169_lhs__step__If) ).
thf(194,axiom,
! [B3: $o,M1: set_val,M12: set_val,M2: set_val,M22: set_val] :
( ( B3
=> ( ord_less_eq_set_val @ M1 @ M12 ) )
=> ( ( ~ B3
=> ( ord_less_eq_set_val @ M2 @ M22 ) )
=> ( ord_less_eq_set_val @ ( if_set_val @ B3 @ M1 @ M2 ) @ ( if_set_val @ B3 @ M12 @ M22 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_165_Refine__Misc_Oif__mono) ).
thf(198,axiom,
! [P: set_val > $o,X: set_val] :
( ( P @ X )
=> ( ! [Y3: set_val] :
( ( P @ Y3 )
=> ( ord_less_eq_set_val @ Y3 @ X ) )
=> ( ( order_1960465943et_val @ P )
= X ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_161_Greatest__equality) ).
thf(202,axiom,
! [P: set_val > $o,X: set_val,Q: set_val > $o] :
( ( P @ X )
=> ( ! [Y3: set_val] :
( ( P @ Y3 )
=> ( ord_less_eq_set_val @ Y3 @ X ) )
=> ( ! [X2: set_val] :
( ( P @ X2 )
=> ( ! [Y5: set_val] :
( ( P @ Y5 )
=> ( ord_less_eq_set_val @ Y5 @ X2 ) )
=> ( Q @ X2 ) ) )
=> ( Q @ ( order_1960465943et_val @ P ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_157_GreatestI2__order) ).
thf(206,axiom,
! [A3: set_val,B3: set_val,C: set_val] :
( ( A3 = B3 )
=> ( ( ord_less_eq_set_val @ B3 @ C )
=> ( ord_less_eq_set_val @ A3 @ C ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_153_ord__eq__le__trans) ).
thf(210,axiom,
( ( ^ [Y: set_val,Z: set_val] : ( Y = Z ) )
= ( ^ [A4: set_val,B4: set_val] :
( ( ord_less_eq_set_val @ A4 @ B4 )
& ( ord_less_eq_set_val @ B4 @ A4 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_149_order__class_Oorder_Oeq__iff) ).
thf(214,axiom,
! [Y2: set_val,X: set_val] :
( ( ord_less_eq_set_val @ Y2 @ X )
=> ( ( ord_less_eq_set_val @ X @ Y2 )
= ( X = Y2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_145_antisym__conv) ).
thf(224,axiom,
! [A3: set_val,B3: set_val,C: set_val] :
( ( ord_less_eq_set_val @ A3 @ B3 )
=> ( ( ord_less_eq_set_val @ B3 @ C )
=> ( ord_less_eq_set_val @ A3 @ C ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_135_order_Otrans) ).
thf(229,axiom,
! [X: set_val,Y2: set_val] :
( ( X = Y2 )
=> ( ord_less_eq_set_val @ X @ Y2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_130_eq__refl) ).
thf(234,axiom,
! [X: set_val,Y2: set_val] :
( ( ord_less_eq_set_val @ X @ Y2 )
=> ( ( ord_less_eq_set_val @ Y2 @ X )
=> ( X = Y2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_125_antisym) ).
thf(238,axiom,
( ( ^ [Y: set_val,Z: set_val] : ( Y = Z ) )
= ( ^ [X3: set_val,Y4: set_val] :
( ( ord_less_eq_set_val @ X3 @ Y4 )
& ( ord_less_eq_set_val @ Y4 @ X3 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_121_eq__iff) ).
thf(242,axiom,
! [A3: set_set_val,B3: set_set_val,F: set_set_val > set_val,C: set_val] :
( ( ord_le1742111550et_val @ A3 @ B3 )
=> ( ( ( F @ B3 )
= C )
=> ( ! [X2: set_set_val,Y3: set_set_val] :
( ( ord_le1742111550et_val @ X2 @ Y3 )
=> ( ord_less_eq_set_val @ ( F @ X2 ) @ ( F @ Y3 ) ) )
=> ( ord_less_eq_set_val @ ( F @ A3 ) @ C ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_117_ord__le__eq__subst) ).
thf(245,axiom,
! [A3: set_val,B3: set_val,F: set_val > set_set_val,C: set_set_val] :
( ( ord_less_eq_set_val @ A3 @ B3 )
=> ( ( ( F @ B3 )
= C )
=> ( ! [X2: set_val,Y3: set_val] :
( ( ord_less_eq_set_val @ X2 @ Y3 )
=> ( ord_le1742111550et_val @ ( F @ X2 ) @ ( F @ Y3 ) ) )
=> ( ord_le1742111550et_val @ ( F @ A3 ) @ C ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_114_ord__le__eq__subst) ).
thf(248,axiom,
! [A3: val,B3: val,F: val > set_val,C: set_val] :
( ( ord_less_eq_val @ A3 @ B3 )
=> ( ( ( F @ B3 )
= C )
=> ( ! [X2: val,Y3: val] :
( ( ord_less_eq_val @ X2 @ Y3 )
=> ( ord_less_eq_set_val @ ( F @ X2 ) @ ( F @ Y3 ) ) )
=> ( ord_less_eq_set_val @ ( F @ A3 ) @ C ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_111_ord__le__eq__subst) ).
thf(249,axiom,
! [A3: set_val,B3: set_val,F: set_val > val,C: val] :
( ( ord_less_eq_set_val @ A3 @ B3 )
=> ( ( ( F @ B3 )
= C )
=> ( ! [X2: set_val,Y3: set_val] :
( ( ord_less_eq_set_val @ X2 @ Y3 )
=> ( ord_less_eq_val @ ( F @ X2 ) @ ( F @ Y3 ) ) )
=> ( ord_less_eq_val @ ( F @ A3 ) @ C ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_110_ord__le__eq__subst) ).
thf(251,axiom,
! [A3: set_val,B3: set_val,F: set_val > set_val,C: set_val] :
( ( ord_less_eq_set_val @ A3 @ B3 )
=> ( ( ( F @ B3 )
= C )
=> ( ! [X2: set_val,Y3: set_val] :
( ( ord_less_eq_set_val @ X2 @ Y3 )
=> ( ord_less_eq_set_val @ ( F @ X2 ) @ ( F @ Y3 ) ) )
=> ( ord_less_eq_set_val @ ( F @ A3 ) @ C ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_108_ord__le__eq__subst) ).
thf(252,axiom,
! [A3: set_val,F: set_set_val > set_val,B3: set_set_val,C: set_set_val] :
( ( A3
= ( F @ B3 ) )
=> ( ( ord_le1742111550et_val @ B3 @ C )
=> ( ! [X2: set_set_val,Y3: set_set_val] :
( ( ord_le1742111550et_val @ X2 @ Y3 )
=> ( ord_less_eq_set_val @ ( F @ X2 ) @ ( F @ Y3 ) ) )
=> ( ord_less_eq_set_val @ A3 @ ( F @ C ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_107_ord__eq__le__subst) ).
thf(255,axiom,
! [A3: set_set_val,F: set_val > set_set_val,B3: set_val,C: set_val] :
( ( A3
= ( F @ B3 ) )
=> ( ( ord_less_eq_set_val @ B3 @ C )
=> ( ! [X2: set_val,Y3: set_val] :
( ( ord_less_eq_set_val @ X2 @ Y3 )
=> ( ord_le1742111550et_val @ ( F @ X2 ) @ ( F @ Y3 ) ) )
=> ( ord_le1742111550et_val @ A3 @ ( F @ C ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_104_ord__eq__le__subst) ).
thf(258,axiom,
! [A3: set_val,F: val > set_val,B3: val,C: val] :
( ( A3
= ( F @ B3 ) )
=> ( ( ord_less_eq_val @ B3 @ C )
=> ( ! [X2: val,Y3: val] :
( ( ord_less_eq_val @ X2 @ Y3 )
=> ( ord_less_eq_set_val @ ( F @ X2 ) @ ( F @ Y3 ) ) )
=> ( ord_less_eq_set_val @ A3 @ ( F @ C ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_101_ord__eq__le__subst) ).
thf(259,axiom,
! [A3: val,F: set_val > val,B3: set_val,C: set_val] :
( ( A3
= ( F @ B3 ) )
=> ( ( ord_less_eq_set_val @ B3 @ C )
=> ( ! [X2: set_val,Y3: set_val] :
( ( ord_less_eq_set_val @ X2 @ Y3 )
=> ( ord_less_eq_val @ ( F @ X2 ) @ ( F @ Y3 ) ) )
=> ( ord_less_eq_val @ A3 @ ( F @ C ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_100_ord__eq__le__subst) ).
thf(261,axiom,
! [A3: set_val,F: set_val > set_val,B3: set_val,C: set_val] :
( ( A3
= ( F @ B3 ) )
=> ( ( ord_less_eq_set_val @ B3 @ C )
=> ( ! [X2: set_val,Y3: set_val] :
( ( ord_less_eq_set_val @ X2 @ Y3 )
=> ( ord_less_eq_set_val @ ( F @ X2 ) @ ( F @ Y3 ) ) )
=> ( ord_less_eq_set_val @ A3 @ ( F @ C ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_98_ord__eq__le__subst) ).
thf(262,axiom,
! [A3: set_val,B3: set_val,C: set_val,D: set_val] :
( ( A3 = B3 )
=> ( ( ord_less_eq_set_val @ B3 @ C )
=> ( ( C = D )
=> ( ord_less_eq_set_val @ A3 @ D ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_97_ord__eq__le__eq__trans) ).
thf(266,axiom,
! [A3: set_set_val,B3: set_set_val,F: set_set_val > set_val,C: set_val] :
( ( ord_le1742111550et_val @ A3 @ B3 )
=> ( ( ord_less_eq_set_val @ ( F @ B3 ) @ C )
=> ( ! [X2: set_set_val,Y3: set_set_val] :
( ( ord_le1742111550et_val @ X2 @ Y3 )
=> ( ord_less_eq_set_val @ ( F @ X2 ) @ ( F @ Y3 ) ) )
=> ( ord_less_eq_set_val @ ( F @ A3 ) @ C ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_93_order__subst2) ).
thf(269,axiom,
! [A3: set_val,B3: set_val,F: set_val > set_set_val,C: set_set_val] :
( ( ord_less_eq_set_val @ A3 @ B3 )
=> ( ( ord_le1742111550et_val @ ( F @ B3 ) @ C )
=> ( ! [X2: set_val,Y3: set_val] :
( ( ord_less_eq_set_val @ X2 @ Y3 )
=> ( ord_le1742111550et_val @ ( F @ X2 ) @ ( F @ Y3 ) ) )
=> ( ord_le1742111550et_val @ ( F @ A3 ) @ C ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_90_order__subst2) ).
thf(272,axiom,
! [A3: val,B3: val,F: val > set_val,C: set_val] :
( ( ord_less_eq_val @ A3 @ B3 )
=> ( ( ord_less_eq_set_val @ ( F @ B3 ) @ C )
=> ( ! [X2: val,Y3: val] :
( ( ord_less_eq_val @ X2 @ Y3 )
=> ( ord_less_eq_set_val @ ( F @ X2 ) @ ( F @ Y3 ) ) )
=> ( ord_less_eq_set_val @ ( F @ A3 ) @ C ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_87_order__subst2) ).
thf(273,axiom,
! [A3: set_val,B3: set_val,F: set_val > val,C: val] :
( ( ord_less_eq_set_val @ A3 @ B3 )
=> ( ( ord_less_eq_val @ ( F @ B3 ) @ C )
=> ( ! [X2: set_val,Y3: set_val] :
( ( ord_less_eq_set_val @ X2 @ Y3 )
=> ( ord_less_eq_val @ ( F @ X2 ) @ ( F @ Y3 ) ) )
=> ( ord_less_eq_val @ ( F @ A3 ) @ C ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_86_order__subst2) ).
thf(275,axiom,
! [A3: set_val,B3: set_val,F: set_val > set_val,C: set_val] :
( ( ord_less_eq_set_val @ A3 @ B3 )
=> ( ( ord_less_eq_set_val @ ( F @ B3 ) @ C )
=> ( ! [X2: set_val,Y3: set_val] :
( ( ord_less_eq_set_val @ X2 @ Y3 )
=> ( ord_less_eq_set_val @ ( F @ X2 ) @ ( F @ Y3 ) ) )
=> ( ord_less_eq_set_val @ ( F @ A3 ) @ C ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_84_order__subst2) ).
thf(276,axiom,
! [A3: set_set_val,F: set_val > set_set_val,B3: set_val,C: set_val] :
( ( ord_le1742111550et_val @ A3 @ ( F @ B3 ) )
=> ( ( ord_less_eq_set_val @ B3 @ C )
=> ( ! [X2: set_val,Y3: set_val] :
( ( ord_less_eq_set_val @ X2 @ Y3 )
=> ( ord_le1742111550et_val @ ( F @ X2 ) @ ( F @ Y3 ) ) )
=> ( ord_le1742111550et_val @ A3 @ ( F @ C ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_83_order__subst1) ).
thf(279,axiom,
! [A3: set_val,F: set_set_val > set_val,B3: set_set_val,C: set_set_val] :
( ( ord_less_eq_set_val @ A3 @ ( F @ B3 ) )
=> ( ( ord_le1742111550et_val @ B3 @ C )
=> ( ! [X2: set_set_val,Y3: set_set_val] :
( ( ord_le1742111550et_val @ X2 @ Y3 )
=> ( ord_less_eq_set_val @ ( F @ X2 ) @ ( F @ Y3 ) ) )
=> ( ord_less_eq_set_val @ A3 @ ( F @ C ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_80_order__subst1) ).
thf(282,axiom,
! [A3: val,F: set_val > val,B3: set_val,C: set_val] :
( ( ord_less_eq_val @ A3 @ ( F @ B3 ) )
=> ( ( ord_less_eq_set_val @ B3 @ C )
=> ( ! [X2: set_val,Y3: set_val] :
( ( ord_less_eq_set_val @ X2 @ Y3 )
=> ( ord_less_eq_val @ ( F @ X2 ) @ ( F @ Y3 ) ) )
=> ( ord_less_eq_val @ A3 @ ( F @ C ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_77_order__subst1) ).
thf(283,axiom,
! [A3: set_val,F: val > set_val,B3: val,C: val] :
( ( ord_less_eq_set_val @ A3 @ ( F @ B3 ) )
=> ( ( ord_less_eq_val @ B3 @ C )
=> ( ! [X2: val,Y3: val] :
( ( ord_less_eq_val @ X2 @ Y3 )
=> ( ord_less_eq_set_val @ ( F @ X2 ) @ ( F @ Y3 ) ) )
=> ( ord_less_eq_set_val @ A3 @ ( F @ C ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_76_order__subst1) ).
thf(285,axiom,
! [A3: set_val,F: set_val > set_val,B3: set_val,C: set_val] :
( ( ord_less_eq_set_val @ A3 @ ( F @ B3 ) )
=> ( ( ord_less_eq_set_val @ B3 @ C )
=> ( ! [X2: set_val,Y3: set_val] :
( ( ord_less_eq_set_val @ X2 @ Y3 )
=> ( ord_less_eq_set_val @ ( F @ X2 ) @ ( F @ Y3 ) ) )
=> ( ord_less_eq_set_val @ A3 @ ( F @ C ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_74_order__subst1) ).
thf(286,axiom,
( ord_le994826475et_val
= ( ^ [F2: $o > set_val,G2: $o > set_val] :
! [X3: $o] : ( ord_less_eq_set_val @ ( F2 @ X3 ) @ ( G2 @ X3 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_73_le__fun__def) ).
thf(287,axiom,
! [F: $o > set_val,G: $o > set_val] :
( ! [X2: $o] : ( ord_less_eq_set_val @ ( F @ X2 ) @ ( G @ X2 ) )
=> ( ord_le994826475et_val @ F @ G ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_72_le__funI) ).
thf(288,axiom,
! [F: $o > set_val,G: $o > set_val,X: $o] :
( ( ord_le994826475et_val @ F @ G )
=> ( ord_less_eq_set_val @ ( F @ X ) @ ( G @ X ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_71_le__funE) ).
thf(289,axiom,
! [F: $o > set_val,G: $o > set_val,X: $o] :
( ( ord_le994826475et_val @ F @ G )
=> ( ord_less_eq_set_val @ ( F @ X ) @ ( G @ X ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_70_le__funD) ).
thf(290,axiom,
! [A3: set_val,B3: set_val,C: set_val] :
( ( ord_less_eq_set_val @ A3 @ B3 )
=> ( ( B3 = C )
=> ( ord_less_eq_set_val @ A3 @ C ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_69_ord__le__eq__trans) ).
thf(294,axiom,
! [A3: set_val,B3: set_val] :
( ( ord_less_eq_set_val @ A3 @ B3 )
=> ( ( ord_less_eq_set_val @ B3 @ A3 )
=> ( A3 = B3 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_65_order__class_Oorder_Oantisym) ).
thf(298,axiom,
! [X: set_val,Y2: set_val,Z2: set_val] :
( ( ord_less_eq_set_val @ X @ Y2 )
=> ( ( ord_less_eq_set_val @ Y2 @ Z2 )
=> ( ord_less_eq_set_val @ X @ Z2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_61_order__trans) ).
thf(302,axiom,
! [A3: set_val] : ( ord_less_eq_set_val @ A3 @ A3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_57_dual__order_Orefl) ).
thf(307,axiom,
! [B3: set_val,A3: set_val,C: set_val] :
( ( ord_less_eq_set_val @ B3 @ A3 )
=> ( ( ord_less_eq_set_val @ C @ B3 )
=> ( ord_less_eq_set_val @ C @ A3 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_52_dual__order_Otrans) ).
thf(311,axiom,
( ( ^ [Y: set_val,Z: set_val] : ( Y = Z ) )
= ( ^ [A4: set_val,B4: set_val] :
( ( ord_less_eq_set_val @ B4 @ A4 )
& ( ord_less_eq_set_val @ A4 @ B4 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_48_dual__order_Oeq__iff) ).
thf(315,axiom,
! [B3: set_val,A3: set_val] :
( ( ord_less_eq_set_val @ B3 @ A3 )
=> ( ( ord_less_eq_set_val @ A3 @ B3 )
=> ( A3 = B3 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_44_dual__order_Oantisym) ).
thf(321,axiom,
! [P: val > $o,Q: val > $o] :
( ! [X2: val] :
( ( P @ X2 )
=> ( Q @ X2 ) )
=> ( ord_less_eq_set_val @ ( collect_val @ P ) @ ( collect_val @ Q ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_38_Collect__mono) ).
thf(323,axiom,
! [A: set_val,B: set_val,C2: set_val] :
( ( ord_less_eq_set_val @ A @ B )
=> ( ( ord_less_eq_set_val @ B @ C2 )
=> ( ord_less_eq_set_val @ A @ C2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_36_subset__trans) ).
thf(325,axiom,
( ( ^ [Y: set_val,Z: set_val] : ( Y = Z ) )
= ( ^ [A2: set_val,B2: set_val] :
( ( ord_less_eq_set_val @ A2 @ B2 )
& ( ord_less_eq_set_val @ B2 @ A2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_34_set__eq__subset) ).
thf(327,axiom,
! [P: val > $o,Q: val > $o] :
( ( ord_less_eq_set_val @ ( collect_val @ P ) @ ( collect_val @ Q ) )
= ( ! [X3: val] :
( ( P @ X3 )
=> ( Q @ X3 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_32_Collect__mono__iff) ).
thf(329,axiom,
! [T2: set_val,T3: set_val,E: set_val,E2: set_val,B3: $o] :
( ( ord_less_eq_set_val @ T2 @ T3 )
=> ( ( ord_less_eq_set_val @ E @ E2 )
=> ( ord_less_eq_set_val @ ( if_set_val @ B3 @ T2 @ E ) @ ( if_set_val @ B3 @ T3 @ E2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_30_order__mono__setup_Omono__if) ).
thf(333,axiom,
! [A: set_val] : ( ord_less_eq_set_val @ A @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_26_subset__refl) ).
thf(335,axiom,
( ord_less_eq_set_val
= ( ^ [A2: set_val,B2: set_val] :
! [T: val] :
( ( member_val @ T @ A2 )
=> ( member_val @ T @ B2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_24_subset__iff) ).
thf(337,axiom,
! [A: set_val,B: set_val] :
( ( A = B )
=> ( ord_less_eq_set_val @ B @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_22_equalityD2) ).
thf(339,axiom,
! [A: set_val,B: set_val] :
( ( A = B )
=> ( ord_less_eq_set_val @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_20_equalityD1) ).
thf(341,axiom,
( ord_less_eq_set_val
= ( ^ [A2: set_val,B2: set_val] :
! [X3: val] :
( ( member_val @ X3 @ A2 )
=> ( member_val @ X3 @ B2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_18_subset__eq) ).
thf(343,axiom,
! [A: set_val,B: set_val] :
( ( A = B )
=> ~ ( ( ord_less_eq_set_val @ A @ B )
=> ~ ( ord_less_eq_set_val @ B @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_16_equalityE) ).
thf(345,axiom,
! [A: set_val,B: set_val,C: val] :
( ( ord_less_eq_set_val @ A @ B )
=> ( ( member_val @ C @ A )
=> ( member_val @ C @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_14_subsetD) ).
thf(347,axiom,
! [A: set_val,B: set_val,X: val] :
( ( ord_less_eq_set_val @ A @ B )
=> ( ( member_val @ X @ A )
=> ( member_val @ X @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_12_in__mono) ).
thf(349,axiom,
! [R: set_val,R2: set_val] :
( ( ord_less_eq_set_val @ R @ R2 )
=> ( ord_less_eq_set_val @ R @ R2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_10_relprop__triggers_I6_J) ).
thf(351,axiom,
! [X: set_val] : ( ord_less_eq_set_val @ X @ X ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_8_order__mono__setup_Orefl) ).
thf(355,axiom,
! [A: set_val,B: set_val] :
( ( ord_less_eq_set_val @ A @ B )
=> ( ( ord_less_eq_set_val @ B @ A )
=> ( A = B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4_subset__antisym) ).
thf(357,axiom,
! [A: set_val,B: set_val] :
( ! [X2: val] :
( ( member_val @ X2 @ A )
=> ( member_val @ X2 @ B ) )
=> ( ord_less_eq_set_val @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2_subsetI) ).
thf(359,axiom,
! [X: val] :
( ( member_val @ X @ scc )
=> ( member_val @ X @ p ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0__092_060open_062_092_060And_062x_O_Ax_A_092_060in_062_Ascc_A_092_060Longrightarrow_062_Ax_A_092_060in_062_AP_092_060close_062) ).
thf(360,conjecture,
ord_less_eq_set_val @ scc @ p,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
thf(361,negated_conjecture,
( ( ord_less_eq_set_val @ scc @ p )
= $false ),
inference(negate_conjecture,[status(cth)],[360]) ).
thf(362,plain,
( ( ord_less_eq_set_val @ scc @ p )
= $false ),
inference(unfold_def,[status(thm)],[361]) ).
thf(363,plain,
( ( ! [P: $o] :
( ( P = $true )
| ( P = $false ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(364,plain,
( ( ! [A3: set_val,B3: set_val] :
( ( A3
= ( sup_sup_set_val @ A3 @ B3 ) )
=> ( ord_less_eq_set_val @ B3 @ A3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(365,plain,
( ( ! [F: set_val > set_val > set_val,X: set_val,Y2: set_val] :
( ! [X2: set_val,Y3: set_val] : ( ord_less_eq_set_val @ X2 @ ( F @ X2 @ Y3 ) )
=> ( ! [X2: set_val,Y3: set_val] : ( ord_less_eq_set_val @ Y3 @ ( F @ X2 @ Y3 ) )
=> ( ! [X2: set_val,Y3: set_val,Z3: set_val] :
( ( ord_less_eq_set_val @ Y3 @ X2 )
=> ( ( ord_less_eq_set_val @ Z3 @ X2 )
=> ( ord_less_eq_set_val @ ( F @ Y3 @ Z3 ) @ X2 ) ) )
=> ( ( sup_sup_set_val @ X @ Y2 )
= ( F @ X @ Y2 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[11]) ).
thf(366,plain,
( ( ! [B3: set_val,A3: set_val] :
( ( ord_less_eq_set_val @ B3 @ A3 )
=> ( ( sup_sup_set_val @ A3 @ B3 )
= A3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[12]) ).
thf(367,plain,
( ( ! [A3: set_val,B3: set_val] :
( ( ord_less_eq_set_val @ A3 @ B3 )
=> ( ( sup_sup_set_val @ A3 @ B3 )
= B3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[13]) ).
thf(368,plain,
( ( ! [Y2: set_val,X: set_val] :
( ( ord_less_eq_set_val @ Y2 @ X )
=> ( ( sup_sup_set_val @ X @ Y2 )
= X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[14]) ).
thf(369,plain,
( ( ! [X: set_val,Y2: set_val] :
( ( ord_less_eq_set_val @ X @ Y2 )
=> ( ( sup_sup_set_val @ X @ Y2 )
= Y2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[15]) ).
thf(370,plain,
( ( ! [B3: set_val,C: set_val,A3: set_val] :
( ( ord_less_eq_set_val @ ( sup_sup_set_val @ B3 @ C ) @ A3 )
=> ~ ( ( ord_less_eq_set_val @ B3 @ A3 )
=> ~ ( ord_less_eq_set_val @ C @ A3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[16]) ).
thf(371,plain,
( ( ! [B3: set_val,A3: set_val,C: set_val] :
( ( ord_less_eq_set_val @ B3 @ A3 )
=> ( ( ord_less_eq_set_val @ C @ A3 )
=> ( ord_less_eq_set_val @ ( sup_sup_set_val @ B3 @ C ) @ A3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[17]) ).
thf(372,plain,
( ( ord_less_eq_set_val
= ( ^ [B4: set_val,A4: set_val] :
( A4
= ( sup_sup_set_val @ A4 @ B4 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[18]) ).
thf(373,plain,
( ( ! [A3: set_val,B3: set_val] : ( ord_less_eq_set_val @ A3 @ ( sup_sup_set_val @ A3 @ B3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[19]) ).
thf(374,plain,
( ( ! [B3: set_val,A3: set_val] : ( ord_less_eq_set_val @ B3 @ ( sup_sup_set_val @ A3 @ B3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[20]) ).
thf(375,plain,
( ( ord_less_eq_set_val
= ( ^ [B4: set_val,A4: set_val] :
( ( sup_sup_set_val @ A4 @ B4 )
= A4 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[21]) ).
thf(376,plain,
( ( ord_less_eq_set_val
= ( ^ [A4: set_val,B4: set_val] :
( ( sup_sup_set_val @ A4 @ B4 )
= B4 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[22]) ).
thf(377,plain,
( ( ! [C: set_val,A3: set_val,B3: set_val] :
( ( ord_less_eq_set_val @ C @ A3 )
=> ( ord_less_eq_set_val @ C @ ( sup_sup_set_val @ A3 @ B3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[23]) ).
thf(378,plain,
( ( ! [C: set_val,B3: set_val,A3: set_val] :
( ( ord_less_eq_set_val @ C @ B3 )
=> ( ord_less_eq_set_val @ C @ ( sup_sup_set_val @ A3 @ B3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[24]) ).
thf(379,plain,
( ( ! [A: set_val,B: set_val,C2: set_val] :
( ( ord_less_eq_set_val @ ( sup_sup_set_val @ A @ B ) @ C2 )
= ( ( ord_less_eq_set_val @ A @ C2 )
& ( ord_less_eq_set_val @ B @ C2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[26]) ).
thf(380,plain,
( ( ! [B3: set_val,C: set_val,A3: set_val] :
( ( ord_less_eq_set_val @ ( sup_sup_set_val @ B3 @ C ) @ A3 )
= ( ( ord_less_eq_set_val @ B3 @ A3 )
& ( ord_less_eq_set_val @ C @ A3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[27]) ).
thf(381,plain,
( ( ! [X: set_val,Y2: set_val,Z2: set_val] :
( ( ord_less_eq_set_val @ ( sup_sup_set_val @ X @ Y2 ) @ Z2 )
= ( ( ord_less_eq_set_val @ X @ Z2 )
& ( ord_less_eq_set_val @ Y2 @ Z2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[28]) ).
thf(382,plain,
( ( ! [Y2: set_val,X: set_val] :
( ( ord_less_eq_set_val @ ( uminus1961393973et_val @ Y2 ) @ X )
=> ( ord_less_eq_set_val @ ( uminus1961393973et_val @ X ) @ Y2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[32]) ).
thf(383,plain,
( ( ! [Y2: set_val,X: set_val] :
( ( ord_less_eq_set_val @ Y2 @ ( uminus1961393973et_val @ X ) )
=> ( ord_less_eq_set_val @ X @ ( uminus1961393973et_val @ Y2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[33]) ).
thf(384,plain,
( ( ! [X: set_val,Y2: set_val] :
( ( ord_less_eq_set_val @ X @ Y2 )
=> ( ord_less_eq_set_val @ ( uminus1961393973et_val @ Y2 ) @ ( uminus1961393973et_val @ X ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[34]) ).
thf(385,plain,
( ( ! [X: set_val,Y2: set_val] :
( ( ord_less_eq_set_val @ ( uminus1961393973et_val @ X ) @ ( uminus1961393973et_val @ Y2 ) )
= ( ord_less_eq_set_val @ Y2 @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[35]) ).
thf(386,plain,
( ( ord_less_eq_set_val
= ( ^ [A2: set_val,B2: set_val] :
( ( ord_less_set_val @ A2 @ B2 )
| ( A2 = B2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[36]) ).
thf(387,plain,
( ( ! [A: set_val,B: set_val,C2: set_val] :
( ( ord_less_eq_set_val @ A @ B )
=> ( ( ord_less_set_val @ B @ C2 )
=> ( ord_less_set_val @ A @ C2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[37]) ).
thf(388,plain,
( ( ord_less_set_val
= ( ^ [A2: set_val,B2: set_val] :
( ( ord_less_eq_set_val @ A2 @ B2 )
& ~ ( ord_less_eq_set_val @ B2 @ A2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[38]) ).
thf(389,plain,
( ( ! [A: set_val,B: set_val,C2: set_val] :
( ( ord_less_set_val @ A @ B )
=> ( ( ord_less_eq_set_val @ B @ C2 )
=> ( ord_less_set_val @ A @ C2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[39]) ).
thf(390,plain,
( ( ! [A: set_val,B: set_val] :
( ( ord_less_set_val @ A @ B )
=> ( ord_less_eq_set_val @ A @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[40]) ).
thf(391,plain,
( ( ord_less_set_val
= ( ^ [A2: set_val,B2: set_val] :
( ( ord_less_eq_set_val @ A2 @ B2 )
& ( A2 != B2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[41]) ).
thf(392,plain,
( ( ! [A: set_val,B: set_val] :
( ( ord_less_set_val @ A @ B )
=> ~ ( ( ord_less_eq_set_val @ A @ B )
=> ( ord_less_eq_set_val @ B @ A ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[42]) ).
thf(393,plain,
( ( ! [A3: set_val,B3: set_val] :
( ( A3 != B3 )
=> ( ( ord_less_eq_set_val @ A3 @ B3 )
=> ( ord_less_set_val @ A3 @ B3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[43]) ).
thf(394,plain,
( ( ! [B3: set_val,A3: set_val] :
( ( ord_less_set_val @ B3 @ A3 )
=> ( ord_less_eq_set_val @ B3 @ A3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[44]) ).
thf(395,plain,
( ( ord_less_set_val
= ( ^ [B4: set_val,A4: set_val] :
( ( ord_less_eq_set_val @ B4 @ A4 )
& ( A4 != B4 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[45]) ).
thf(396,plain,
( ( ord_less_eq_set_val
= ( ^ [B4: set_val,A4: set_val] :
( ( ord_less_set_val @ B4 @ A4 )
| ( A4 = B4 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[46]) ).
thf(397,plain,
( ( ! [A3: set_val,B3: set_val] :
( ( ord_less_set_val @ A3 @ B3 )
=> ( ord_less_eq_set_val @ A3 @ B3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[47]) ).
thf(398,plain,
( ( ! [B3: set_val,A3: set_val,C: set_val] :
( ( ord_less_set_val @ B3 @ A3 )
=> ( ( ord_less_eq_set_val @ C @ B3 )
=> ( ord_less_set_val @ C @ A3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[48]) ).
thf(399,plain,
( ( ! [B3: set_val,A3: set_val,C: set_val] :
( ( ord_less_eq_set_val @ B3 @ A3 )
=> ( ( ord_less_set_val @ C @ B3 )
=> ( ord_less_set_val @ C @ A3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[49]) ).
thf(400,plain,
( ( ord_less_set_val
= ( ^ [A4: set_val,B4: set_val] :
( ( ord_less_eq_set_val @ A4 @ B4 )
& ( A4 != B4 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[50]) ).
thf(401,plain,
( ( ord_less_eq_set_val
= ( ^ [A4: set_val,B4: set_val] :
( ( ord_less_set_val @ A4 @ B4 )
| ( A4 = B4 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[51]) ).
thf(402,plain,
( ( ! [A3: set_val,B3: set_val,C: set_val] :
( ( ord_less_set_val @ A3 @ B3 )
=> ( ( ord_less_eq_set_val @ B3 @ C )
=> ( ord_less_set_val @ A3 @ C ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[52]) ).
thf(403,plain,
( ( ! [A3: set_val,B3: set_val,C: set_val] :
( ( ord_less_eq_set_val @ A3 @ B3 )
=> ( ( ord_less_set_val @ B3 @ C )
=> ( ord_less_set_val @ A3 @ C ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[53]) ).
thf(404,plain,
( ( ord_less_set_val
= ( ^ [X3: set_val,Y4: set_val] :
( ( ord_less_eq_set_val @ X3 @ Y4 )
& ~ ( ord_less_eq_set_val @ Y4 @ X3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[54]) ).
thf(405,plain,
( ( ! [X: set_val,Y2: set_val] :
( ( ord_less_eq_set_val @ X @ Y2 )
=> ( ( ord_less_set_val @ X @ Y2 )
| ( X = Y2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[55]) ).
thf(406,plain,
( ( ! [X: set_val,Y2: set_val,Z2: set_val] :
( ( ord_less_set_val @ X @ Y2 )
=> ( ( ord_less_eq_set_val @ Y2 @ Z2 )
=> ( ord_less_set_val @ X @ Z2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[56]) ).
thf(407,plain,
( ( ! [X: set_val,Y2: set_val,Z2: set_val] :
( ( ord_less_eq_set_val @ X @ Y2 )
=> ( ( ord_less_set_val @ Y2 @ Z2 )
=> ( ord_less_set_val @ X @ Z2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[57]) ).
thf(408,plain,
( ( ! [X: set_val,Y2: set_val] :
( ( ord_less_set_val @ X @ Y2 )
=> ( ord_less_eq_set_val @ X @ Y2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[58]) ).
thf(409,plain,
( ( ! [X: set_val,Y2: set_val] :
( ( ord_less_eq_set_val @ X @ Y2 )
=> ( ( ~ ( ord_less_set_val @ X @ Y2 ) )
= ( X = Y2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[59]) ).
thf(410,plain,
( ( ! [X: set_val,Y2: set_val] :
( ~ ( ord_less_set_val @ X @ Y2 )
=> ( ( ord_less_eq_set_val @ X @ Y2 )
= ( X = Y2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[60]) ).
thf(411,plain,
( ( ! [A3: set_val,B3: set_val] :
( ( ord_less_eq_set_val @ A3 @ B3 )
=> ( ( A3 != B3 )
=> ( ord_less_set_val @ A3 @ B3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[61]) ).
thf(412,plain,
( ( ! [A3: set_val,F: set_val > set_val,B3: set_val,C: set_val] :
( ( ord_less_set_val @ A3 @ ( F @ B3 ) )
=> ( ( ord_less_eq_set_val @ B3 @ C )
=> ( ! [X2: set_val,Y3: set_val] :
( ( ord_less_eq_set_val @ X2 @ Y3 )
=> ( ord_less_eq_set_val @ ( F @ X2 ) @ ( F @ Y3 ) ) )
=> ( ord_less_set_val @ A3 @ ( F @ C ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[62]) ).
thf(413,plain,
( ( ! [A3: set_val,B3: set_val,F: set_val > set_val,C: set_val] :
( ( ord_less_eq_set_val @ A3 @ B3 )
=> ( ( ord_less_set_val @ ( F @ B3 ) @ C )
=> ( ! [X2: set_val,Y3: set_val] :
( ( ord_less_eq_set_val @ X2 @ Y3 )
=> ( ord_less_eq_set_val @ ( F @ X2 ) @ ( F @ Y3 ) ) )
=> ( ord_less_set_val @ ( F @ A3 ) @ C ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[63]) ).
thf(414,plain,
( ( ord_less_set_val
= ( ^ [X3: set_val,Y4: set_val] :
( ( ord_less_eq_set_val @ X3 @ Y4 )
& ( X3 != Y4 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[64]) ).
thf(415,plain,
( ( ord_less_eq_set_val
= ( ^ [X3: set_val,Y4: set_val] :
( ( ord_less_set_val @ X3 @ Y4 )
| ( X3 = Y4 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[65]) ).
thf(416,plain,
( ( ! [Y2: set_val,X: set_val] :
( ( ord_less_eq_set_val @ Y2 @ X )
=> ~ ( ord_less_set_val @ X @ Y2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[66]) ).
thf(417,plain,
( ( ! [A: set_val,B: set_val] :
( ( ord_less_eq_set_val @ ( uminus1961393973et_val @ A ) @ ( uminus1961393973et_val @ B ) )
= ( ord_less_eq_set_val @ B @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[75]) ).
thf(418,plain,
( ( ! [A: set_val,B: set_val] :
( ( ord_less_eq_set_val @ A @ B )
=> ( ord_less_eq_set_val @ ( uminus1961393973et_val @ B ) @ ( uminus1961393973et_val @ A ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[76]) ).
thf(419,plain,
( ( ! [L: set_val,H: set_val,L2: set_val,H2: set_val] :
( ( ( set_or1554624499et_val @ L @ H )
= ( set_or1554624499et_val @ L2 @ H2 ) )
= ( ( ( L = L2 )
& ( H = H2 ) )
| ( ~ ( ord_less_eq_set_val @ L @ H )
& ~ ( ord_less_eq_set_val @ L2 @ H2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[80]) ).
thf(420,plain,
( ( ! [A: set_val,B: set_val] :
( ( ord_less_eq_set_val @ A @ B )
=> ( ( A != B )
=> ( ord_less_set_val @ A @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[85]) ).
thf(421,plain,
( ( refine1929691018et_val
= ( ^ [Alpha2: set_val > set_val,Gamma2: set_val > set_val] :
! [C4: set_val,A4: set_val] :
( ( ord_less_eq_set_val @ C4 @ ( Gamma2 @ A4 ) )
= ( ord_less_eq_set_val @ ( Alpha2 @ C4 ) @ A4 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[112]) ).
thf(422,plain,
( ( ! [Gamma: set_val > set_val,Alpha: set_val > set_val] :
( ! [C3: set_val,A5: set_val] :
( ( ord_less_eq_set_val @ C3 @ ( Gamma @ A5 ) )
= ( ord_less_eq_set_val @ ( Alpha @ C3 ) @ A5 ) )
=> ( refine1929691018et_val @ Alpha @ Gamma ) ) )
= $true ),
inference(unfold_def,[status(thm)],[121]) ).
thf(423,plain,
( ( ! [Alpha: set_val > set_val,Gamma: set_val > set_val,C: set_val,A3: set_val] :
( ( refine1929691018et_val @ Alpha @ Gamma )
=> ( ( ord_less_eq_set_val @ C @ ( Gamma @ A3 ) )
= ( ord_less_eq_set_val @ ( Alpha @ C ) @ A3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[130]) ).
thf(424,plain,
( ( ! [Alpha: set_val > set_val,Gamma: set_val > set_val,X: set_val] :
( ( refine1929691018et_val @ Alpha @ Gamma )
=> ( ord_less_eq_set_val @ ( Alpha @ ( Gamma @ X ) ) @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[139]) ).
thf(425,plain,
( ( ! [Alpha: set_val > set_val,Gamma: set_val > set_val,X: set_val] :
( ( refine1929691018et_val @ Alpha @ Gamma )
=> ( ord_less_eq_set_val @ X @ ( Gamma @ ( Alpha @ X ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[140]) ).
thf(426,plain,
( ( refine275900453et_val @ ord_less_eq_set_val )
= $true ),
inference(unfold_def,[status(thm)],[141]) ).
thf(427,plain,
( ( ! [F: set_val > set_val] :
( ! [X2: set_val,Y3: set_val] :
( ( ord_less_eq_set_val @ X2 @ Y3 )
=> ( ord_less_eq_set_val @ ( F @ Y3 ) @ ( F @ X2 ) ) )
=> ( order_1719375026et_val @ F ) ) )
= $true ),
inference(unfold_def,[status(thm)],[154]) ).
thf(428,plain,
( ( order_1719375026et_val
= ( ^ [F2: set_val > set_val] :
! [X3: set_val,Y4: set_val] :
( ( ord_less_eq_set_val @ X3 @ Y4 )
=> ( ord_less_eq_set_val @ ( F2 @ Y4 ) @ ( F2 @ X3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[164]) ).
thf(429,plain,
( ( ! [F: set_val > set_val,X: set_val,Y2: set_val] :
( ( order_1719375026et_val @ F )
=> ( ( ord_less_eq_set_val @ X @ Y2 )
=> ( ord_less_eq_set_val @ ( F @ Y2 ) @ ( F @ X ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[174]) ).
thf(430,plain,
( ( ! [F: set_val > set_val,X: set_val,Y2: set_val] :
( ( order_1719375026et_val @ F )
=> ( ( ord_less_eq_set_val @ X @ Y2 )
=> ( ord_less_eq_set_val @ ( F @ Y2 ) @ ( F @ X ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[184]) ).
thf(431,plain,
( ( ord_le994826475et_val
= ( ^ [X4: $o > set_val,Y6: $o > set_val] :
( ( ord_less_eq_set_val @ ( X4 @ $false ) @ ( Y6 @ $false ) )
& ( ord_less_eq_set_val @ ( X4 @ $true ) @ ( Y6 @ $true ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[185]) ).
thf(432,plain,
( ( ! [B3: $o,T2: set_val,M: set_val,E: set_val] :
( ( B3
=> ( ord_less_eq_set_val @ T2 @ M ) )
=> ( ( ~ B3
=> ( ord_less_eq_set_val @ E @ M ) )
=> ( ord_less_eq_set_val @ ( if_set_val @ B3 @ T2 @ E ) @ M ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[190]) ).
thf(433,plain,
( ( ! [B3: $o,M1: set_val,M12: set_val,M2: set_val,M22: set_val] :
( ( B3
=> ( ord_less_eq_set_val @ M1 @ M12 ) )
=> ( ( ~ B3
=> ( ord_less_eq_set_val @ M2 @ M22 ) )
=> ( ord_less_eq_set_val @ ( if_set_val @ B3 @ M1 @ M2 ) @ ( if_set_val @ B3 @ M12 @ M22 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[194]) ).
thf(434,plain,
( ( ! [P: set_val > $o,X: set_val] :
( ( P @ X )
=> ( ! [Y3: set_val] :
( ( P @ Y3 )
=> ( ord_less_eq_set_val @ Y3 @ X ) )
=> ( ( order_1960465943et_val @ P )
= X ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[198]) ).
thf(435,plain,
( ( ! [P: set_val > $o,X: set_val,Q: set_val > $o] :
( ( P @ X )
=> ( ! [Y3: set_val] :
( ( P @ Y3 )
=> ( ord_less_eq_set_val @ Y3 @ X ) )
=> ( ! [X2: set_val] :
( ( P @ X2 )
=> ( ! [Y5: set_val] :
( ( P @ Y5 )
=> ( ord_less_eq_set_val @ Y5 @ X2 ) )
=> ( Q @ X2 ) ) )
=> ( Q @ ( order_1960465943et_val @ P ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[202]) ).
thf(436,plain,
( ( ! [A3: set_val,B3: set_val,C: set_val] :
( ( A3 = B3 )
=> ( ( ord_less_eq_set_val @ B3 @ C )
=> ( ord_less_eq_set_val @ A3 @ C ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[206]) ).
thf(437,plain,
( ( ( ^ [Y: set_val,Z: set_val] : ( Y = Z ) )
= ( ^ [A4: set_val,B4: set_val] :
( ( ord_less_eq_set_val @ A4 @ B4 )
& ( ord_less_eq_set_val @ B4 @ A4 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[210]) ).
thf(438,plain,
( ( ! [Y2: set_val,X: set_val] :
( ( ord_less_eq_set_val @ Y2 @ X )
=> ( ( ord_less_eq_set_val @ X @ Y2 )
= ( X = Y2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[214]) ).
thf(439,plain,
( ( ! [A3: set_val,B3: set_val,C: set_val] :
( ( ord_less_eq_set_val @ A3 @ B3 )
=> ( ( ord_less_eq_set_val @ B3 @ C )
=> ( ord_less_eq_set_val @ A3 @ C ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[224]) ).
thf(440,plain,
( ( ! [X: set_val,Y2: set_val] :
( ( X = Y2 )
=> ( ord_less_eq_set_val @ X @ Y2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[229]) ).
thf(441,plain,
( ( ! [X: set_val,Y2: set_val] :
( ( ord_less_eq_set_val @ X @ Y2 )
=> ( ( ord_less_eq_set_val @ Y2 @ X )
=> ( X = Y2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[234]) ).
thf(442,plain,
( ( ( ^ [Y: set_val,Z: set_val] : ( Y = Z ) )
= ( ^ [X3: set_val,Y4: set_val] :
( ( ord_less_eq_set_val @ X3 @ Y4 )
& ( ord_less_eq_set_val @ Y4 @ X3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[238]) ).
thf(443,plain,
( ( ! [A3: set_set_val,B3: set_set_val,F: set_set_val > set_val,C: set_val] :
( ( ord_le1742111550et_val @ A3 @ B3 )
=> ( ( ( F @ B3 )
= C )
=> ( ! [X2: set_set_val,Y3: set_set_val] :
( ( ord_le1742111550et_val @ X2 @ Y3 )
=> ( ord_less_eq_set_val @ ( F @ X2 ) @ ( F @ Y3 ) ) )
=> ( ord_less_eq_set_val @ ( F @ A3 ) @ C ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[242]) ).
thf(444,plain,
( ( ! [A3: set_val,B3: set_val,F: set_val > set_set_val,C: set_set_val] :
( ( ord_less_eq_set_val @ A3 @ B3 )
=> ( ( ( F @ B3 )
= C )
=> ( ! [X2: set_val,Y3: set_val] :
( ( ord_less_eq_set_val @ X2 @ Y3 )
=> ( ord_le1742111550et_val @ ( F @ X2 ) @ ( F @ Y3 ) ) )
=> ( ord_le1742111550et_val @ ( F @ A3 ) @ C ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[245]) ).
thf(445,plain,
( ( ! [A3: val,B3: val,F: val > set_val,C: set_val] :
( ( ord_less_eq_val @ A3 @ B3 )
=> ( ( ( F @ B3 )
= C )
=> ( ! [X2: val,Y3: val] :
( ( ord_less_eq_val @ X2 @ Y3 )
=> ( ord_less_eq_set_val @ ( F @ X2 ) @ ( F @ Y3 ) ) )
=> ( ord_less_eq_set_val @ ( F @ A3 ) @ C ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[248]) ).
thf(446,plain,
( ( ! [A3: set_val,B3: set_val,F: set_val > val,C: val] :
( ( ord_less_eq_set_val @ A3 @ B3 )
=> ( ( ( F @ B3 )
= C )
=> ( ! [X2: set_val,Y3: set_val] :
( ( ord_less_eq_set_val @ X2 @ Y3 )
=> ( ord_less_eq_val @ ( F @ X2 ) @ ( F @ Y3 ) ) )
=> ( ord_less_eq_val @ ( F @ A3 ) @ C ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[249]) ).
thf(447,plain,
( ( ! [A3: set_val,B3: set_val,F: set_val > set_val,C: set_val] :
( ( ord_less_eq_set_val @ A3 @ B3 )
=> ( ( ( F @ B3 )
= C )
=> ( ! [X2: set_val,Y3: set_val] :
( ( ord_less_eq_set_val @ X2 @ Y3 )
=> ( ord_less_eq_set_val @ ( F @ X2 ) @ ( F @ Y3 ) ) )
=> ( ord_less_eq_set_val @ ( F @ A3 ) @ C ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[251]) ).
thf(448,plain,
( ( ! [A3: set_val,F: set_set_val > set_val,B3: set_set_val,C: set_set_val] :
( ( A3
= ( F @ B3 ) )
=> ( ( ord_le1742111550et_val @ B3 @ C )
=> ( ! [X2: set_set_val,Y3: set_set_val] :
( ( ord_le1742111550et_val @ X2 @ Y3 )
=> ( ord_less_eq_set_val @ ( F @ X2 ) @ ( F @ Y3 ) ) )
=> ( ord_less_eq_set_val @ A3 @ ( F @ C ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[252]) ).
thf(449,plain,
( ( ! [A3: set_set_val,F: set_val > set_set_val,B3: set_val,C: set_val] :
( ( A3
= ( F @ B3 ) )
=> ( ( ord_less_eq_set_val @ B3 @ C )
=> ( ! [X2: set_val,Y3: set_val] :
( ( ord_less_eq_set_val @ X2 @ Y3 )
=> ( ord_le1742111550et_val @ ( F @ X2 ) @ ( F @ Y3 ) ) )
=> ( ord_le1742111550et_val @ A3 @ ( F @ C ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[255]) ).
thf(450,plain,
( ( ! [A3: set_val,F: val > set_val,B3: val,C: val] :
( ( A3
= ( F @ B3 ) )
=> ( ( ord_less_eq_val @ B3 @ C )
=> ( ! [X2: val,Y3: val] :
( ( ord_less_eq_val @ X2 @ Y3 )
=> ( ord_less_eq_set_val @ ( F @ X2 ) @ ( F @ Y3 ) ) )
=> ( ord_less_eq_set_val @ A3 @ ( F @ C ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[258]) ).
thf(451,plain,
( ( ! [A3: val,F: set_val > val,B3: set_val,C: set_val] :
( ( A3
= ( F @ B3 ) )
=> ( ( ord_less_eq_set_val @ B3 @ C )
=> ( ! [X2: set_val,Y3: set_val] :
( ( ord_less_eq_set_val @ X2 @ Y3 )
=> ( ord_less_eq_val @ ( F @ X2 ) @ ( F @ Y3 ) ) )
=> ( ord_less_eq_val @ A3 @ ( F @ C ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[259]) ).
thf(452,plain,
( ( ! [A3: set_val,F: set_val > set_val,B3: set_val,C: set_val] :
( ( A3
= ( F @ B3 ) )
=> ( ( ord_less_eq_set_val @ B3 @ C )
=> ( ! [X2: set_val,Y3: set_val] :
( ( ord_less_eq_set_val @ X2 @ Y3 )
=> ( ord_less_eq_set_val @ ( F @ X2 ) @ ( F @ Y3 ) ) )
=> ( ord_less_eq_set_val @ A3 @ ( F @ C ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[261]) ).
thf(453,plain,
( ( ! [A3: set_val,B3: set_val,C: set_val,D: set_val] :
( ( A3 = B3 )
=> ( ( ord_less_eq_set_val @ B3 @ C )
=> ( ( C = D )
=> ( ord_less_eq_set_val @ A3 @ D ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[262]) ).
thf(454,plain,
( ( ! [A3: set_set_val,B3: set_set_val,F: set_set_val > set_val,C: set_val] :
( ( ord_le1742111550et_val @ A3 @ B3 )
=> ( ( ord_less_eq_set_val @ ( F @ B3 ) @ C )
=> ( ! [X2: set_set_val,Y3: set_set_val] :
( ( ord_le1742111550et_val @ X2 @ Y3 )
=> ( ord_less_eq_set_val @ ( F @ X2 ) @ ( F @ Y3 ) ) )
=> ( ord_less_eq_set_val @ ( F @ A3 ) @ C ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[266]) ).
thf(455,plain,
( ( ! [A3: set_val,B3: set_val,F: set_val > set_set_val,C: set_set_val] :
( ( ord_less_eq_set_val @ A3 @ B3 )
=> ( ( ord_le1742111550et_val @ ( F @ B3 ) @ C )
=> ( ! [X2: set_val,Y3: set_val] :
( ( ord_less_eq_set_val @ X2 @ Y3 )
=> ( ord_le1742111550et_val @ ( F @ X2 ) @ ( F @ Y3 ) ) )
=> ( ord_le1742111550et_val @ ( F @ A3 ) @ C ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[269]) ).
thf(456,plain,
( ( ! [A3: val,B3: val,F: val > set_val,C: set_val] :
( ( ord_less_eq_val @ A3 @ B3 )
=> ( ( ord_less_eq_set_val @ ( F @ B3 ) @ C )
=> ( ! [X2: val,Y3: val] :
( ( ord_less_eq_val @ X2 @ Y3 )
=> ( ord_less_eq_set_val @ ( F @ X2 ) @ ( F @ Y3 ) ) )
=> ( ord_less_eq_set_val @ ( F @ A3 ) @ C ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[272]) ).
thf(457,plain,
( ( ! [A3: set_val,B3: set_val,F: set_val > val,C: val] :
( ( ord_less_eq_set_val @ A3 @ B3 )
=> ( ( ord_less_eq_val @ ( F @ B3 ) @ C )
=> ( ! [X2: set_val,Y3: set_val] :
( ( ord_less_eq_set_val @ X2 @ Y3 )
=> ( ord_less_eq_val @ ( F @ X2 ) @ ( F @ Y3 ) ) )
=> ( ord_less_eq_val @ ( F @ A3 ) @ C ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[273]) ).
thf(458,plain,
( ( ! [A3: set_val,B3: set_val,F: set_val > set_val,C: set_val] :
( ( ord_less_eq_set_val @ A3 @ B3 )
=> ( ( ord_less_eq_set_val @ ( F @ B3 ) @ C )
=> ( ! [X2: set_val,Y3: set_val] :
( ( ord_less_eq_set_val @ X2 @ Y3 )
=> ( ord_less_eq_set_val @ ( F @ X2 ) @ ( F @ Y3 ) ) )
=> ( ord_less_eq_set_val @ ( F @ A3 ) @ C ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[275]) ).
thf(459,plain,
( ( ! [A3: set_set_val,F: set_val > set_set_val,B3: set_val,C: set_val] :
( ( ord_le1742111550et_val @ A3 @ ( F @ B3 ) )
=> ( ( ord_less_eq_set_val @ B3 @ C )
=> ( ! [X2: set_val,Y3: set_val] :
( ( ord_less_eq_set_val @ X2 @ Y3 )
=> ( ord_le1742111550et_val @ ( F @ X2 ) @ ( F @ Y3 ) ) )
=> ( ord_le1742111550et_val @ A3 @ ( F @ C ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[276]) ).
thf(460,plain,
( ( ! [A3: set_val,F: set_set_val > set_val,B3: set_set_val,C: set_set_val] :
( ( ord_less_eq_set_val @ A3 @ ( F @ B3 ) )
=> ( ( ord_le1742111550et_val @ B3 @ C )
=> ( ! [X2: set_set_val,Y3: set_set_val] :
( ( ord_le1742111550et_val @ X2 @ Y3 )
=> ( ord_less_eq_set_val @ ( F @ X2 ) @ ( F @ Y3 ) ) )
=> ( ord_less_eq_set_val @ A3 @ ( F @ C ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[279]) ).
thf(461,plain,
( ( ! [A3: val,F: set_val > val,B3: set_val,C: set_val] :
( ( ord_less_eq_val @ A3 @ ( F @ B3 ) )
=> ( ( ord_less_eq_set_val @ B3 @ C )
=> ( ! [X2: set_val,Y3: set_val] :
( ( ord_less_eq_set_val @ X2 @ Y3 )
=> ( ord_less_eq_val @ ( F @ X2 ) @ ( F @ Y3 ) ) )
=> ( ord_less_eq_val @ A3 @ ( F @ C ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[282]) ).
thf(462,plain,
( ( ! [A3: set_val,F: val > set_val,B3: val,C: val] :
( ( ord_less_eq_set_val @ A3 @ ( F @ B3 ) )
=> ( ( ord_less_eq_val @ B3 @ C )
=> ( ! [X2: val,Y3: val] :
( ( ord_less_eq_val @ X2 @ Y3 )
=> ( ord_less_eq_set_val @ ( F @ X2 ) @ ( F @ Y3 ) ) )
=> ( ord_less_eq_set_val @ A3 @ ( F @ C ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[283]) ).
thf(463,plain,
( ( ! [A3: set_val,F: set_val > set_val,B3: set_val,C: set_val] :
( ( ord_less_eq_set_val @ A3 @ ( F @ B3 ) )
=> ( ( ord_less_eq_set_val @ B3 @ C )
=> ( ! [X2: set_val,Y3: set_val] :
( ( ord_less_eq_set_val @ X2 @ Y3 )
=> ( ord_less_eq_set_val @ ( F @ X2 ) @ ( F @ Y3 ) ) )
=> ( ord_less_eq_set_val @ A3 @ ( F @ C ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[285]) ).
thf(464,plain,
( ( ord_le994826475et_val
= ( ^ [F2: $o > set_val,G2: $o > set_val] :
! [X3: $o] : ( ord_less_eq_set_val @ ( F2 @ X3 ) @ ( G2 @ X3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[286]) ).
thf(465,plain,
( ( ! [F: $o > set_val,G: $o > set_val] :
( ! [X2: $o] : ( ord_less_eq_set_val @ ( F @ X2 ) @ ( G @ X2 ) )
=> ( ord_le994826475et_val @ F @ G ) ) )
= $true ),
inference(unfold_def,[status(thm)],[287]) ).
thf(466,plain,
( ( ! [F: $o > set_val,G: $o > set_val,X: $o] :
( ( ord_le994826475et_val @ F @ G )
=> ( ord_less_eq_set_val @ ( F @ X ) @ ( G @ X ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[288]) ).
thf(467,plain,
( ( ! [F: $o > set_val,G: $o > set_val,X: $o] :
( ( ord_le994826475et_val @ F @ G )
=> ( ord_less_eq_set_val @ ( F @ X ) @ ( G @ X ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[289]) ).
thf(468,plain,
( ( ! [A3: set_val,B3: set_val,C: set_val] :
( ( ord_less_eq_set_val @ A3 @ B3 )
=> ( ( B3 = C )
=> ( ord_less_eq_set_val @ A3 @ C ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[290]) ).
thf(469,plain,
( ( ! [A3: set_val,B3: set_val] :
( ( ord_less_eq_set_val @ A3 @ B3 )
=> ( ( ord_less_eq_set_val @ B3 @ A3 )
=> ( A3 = B3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[294]) ).
thf(470,plain,
( ( ! [X: set_val,Y2: set_val,Z2: set_val] :
( ( ord_less_eq_set_val @ X @ Y2 )
=> ( ( ord_less_eq_set_val @ Y2 @ Z2 )
=> ( ord_less_eq_set_val @ X @ Z2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[298]) ).
thf(471,plain,
( ( ! [A3: set_val] : ( ord_less_eq_set_val @ A3 @ A3 ) )
= $true ),
inference(unfold_def,[status(thm)],[302]) ).
thf(472,plain,
( ( ! [B3: set_val,A3: set_val,C: set_val] :
( ( ord_less_eq_set_val @ B3 @ A3 )
=> ( ( ord_less_eq_set_val @ C @ B3 )
=> ( ord_less_eq_set_val @ C @ A3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[307]) ).
thf(473,plain,
( ( ( ^ [Y: set_val,Z: set_val] : ( Y = Z ) )
= ( ^ [A4: set_val,B4: set_val] :
( ( ord_less_eq_set_val @ B4 @ A4 )
& ( ord_less_eq_set_val @ A4 @ B4 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[311]) ).
thf(474,plain,
( ( ! [B3: set_val,A3: set_val] :
( ( ord_less_eq_set_val @ B3 @ A3 )
=> ( ( ord_less_eq_set_val @ A3 @ B3 )
=> ( A3 = B3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[315]) ).
thf(475,plain,
( ( ! [P: val > $o,Q: val > $o] :
( ! [X2: val] :
( ( P @ X2 )
=> ( Q @ X2 ) )
=> ( ord_less_eq_set_val @ ( collect_val @ P ) @ ( collect_val @ Q ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[321]) ).
thf(476,plain,
( ( ! [A: set_val,B: set_val,C2: set_val] :
( ( ord_less_eq_set_val @ A @ B )
=> ( ( ord_less_eq_set_val @ B @ C2 )
=> ( ord_less_eq_set_val @ A @ C2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[323]) ).
thf(477,plain,
( ( ( ^ [Y: set_val,Z: set_val] : ( Y = Z ) )
= ( ^ [A2: set_val,B2: set_val] :
( ( ord_less_eq_set_val @ A2 @ B2 )
& ( ord_less_eq_set_val @ B2 @ A2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[325]) ).
thf(478,plain,
( ( ! [P: val > $o,Q: val > $o] :
( ( ord_less_eq_set_val @ ( collect_val @ P ) @ ( collect_val @ Q ) )
= ( ! [X3: val] :
( ( P @ X3 )
=> ( Q @ X3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[327]) ).
thf(479,plain,
( ( ! [T2: set_val,T3: set_val,E: set_val,E2: set_val,B3: $o] :
( ( ord_less_eq_set_val @ T2 @ T3 )
=> ( ( ord_less_eq_set_val @ E @ E2 )
=> ( ord_less_eq_set_val @ ( if_set_val @ B3 @ T2 @ E ) @ ( if_set_val @ B3 @ T3 @ E2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[329]) ).
thf(480,plain,
( ( ! [A: set_val] : ( ord_less_eq_set_val @ A @ A ) )
= $true ),
inference(unfold_def,[status(thm)],[333]) ).
thf(481,plain,
( ( ord_less_eq_set_val
= ( ^ [A2: set_val,B2: set_val] :
! [T: val] :
( ( member_val @ T @ A2 )
=> ( member_val @ T @ B2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[335]) ).
thf(482,plain,
( ( ! [A: set_val,B: set_val] :
( ( A = B )
=> ( ord_less_eq_set_val @ B @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[337]) ).
thf(483,plain,
( ( ! [A: set_val,B: set_val] :
( ( A = B )
=> ( ord_less_eq_set_val @ A @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[339]) ).
thf(484,plain,
( ( ord_less_eq_set_val
= ( ^ [A2: set_val,B2: set_val] :
! [X3: val] :
( ( member_val @ X3 @ A2 )
=> ( member_val @ X3 @ B2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[341]) ).
thf(485,plain,
( ( ! [A: set_val,B: set_val] :
( ( A = B )
=> ~ ( ( ord_less_eq_set_val @ A @ B )
=> ~ ( ord_less_eq_set_val @ B @ A ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[343]) ).
thf(486,plain,
( ( ! [A: set_val,B: set_val,C: val] :
( ( ord_less_eq_set_val @ A @ B )
=> ( ( member_val @ C @ A )
=> ( member_val @ C @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[345]) ).
thf(487,plain,
( ( ! [A: set_val,B: set_val,X: val] :
( ( ord_less_eq_set_val @ A @ B )
=> ( ( member_val @ X @ A )
=> ( member_val @ X @ B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[347]) ).
thf(488,plain,
( ( ! [R: set_val,R2: set_val] :
( ( ord_less_eq_set_val @ R @ R2 )
=> ( ord_less_eq_set_val @ R @ R2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[349]) ).
thf(489,plain,
( ( ! [X: set_val] : ( ord_less_eq_set_val @ X @ X ) )
= $true ),
inference(unfold_def,[status(thm)],[351]) ).
thf(490,plain,
( ( ! [A: set_val,B: set_val] :
( ( ord_less_eq_set_val @ A @ B )
=> ( ( ord_less_eq_set_val @ B @ A )
=> ( A = B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[355]) ).
thf(491,plain,
( ( ! [A: set_val,B: set_val] :
( ! [X2: val] :
( ( member_val @ X2 @ A )
=> ( member_val @ X2 @ B ) )
=> ( ord_less_eq_set_val @ A @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[357]) ).
thf(492,plain,
( ( ! [X: val] :
( ( member_val @ X @ scc )
=> ( member_val @ X @ p ) ) )
= $true ),
inference(unfold_def,[status(thm)],[359]) ).
thf(493,plain,
( ( ~ ( ord_less_eq_set_val @ scc @ p ) )
= $true ),
inference(polarity_switch,[status(thm)],[362]) ).
thf(494,plain,
( ( ! [X: val] :
( ( member_val @ X @ scc )
=> ( member_val @ X @ p ) ) )
= $true ),
inference(copy,[status(thm)],[492]) ).
thf(495,plain,
( ( ! [A: set_val,B: set_val] :
( ! [X2: val] :
( ( member_val @ X2 @ A )
=> ( member_val @ X2 @ B ) )
=> ( ord_less_eq_set_val @ A @ B ) ) )
= $true ),
inference(copy,[status(thm)],[491]) ).
thf(496,plain,
( ( ! [A: set_val,B: set_val] :
( ( ord_less_eq_set_val @ A @ B )
=> ( ( ord_less_eq_set_val @ B @ A )
=> ( A = B ) ) ) )
= $true ),
inference(copy,[status(thm)],[490]) ).
thf(497,plain,
( ( ! [X: set_val] : ( ord_less_eq_set_val @ X @ X ) )
= $true ),
inference(copy,[status(thm)],[489]) ).
thf(498,plain,
( ( ! [R: set_val,R2: set_val] :
( ( ord_less_eq_set_val @ R @ R2 )
=> ( ord_less_eq_set_val @ R @ R2 ) ) )
= $true ),
inference(copy,[status(thm)],[488]) ).
thf(499,plain,
( ( ! [A: set_val,B: set_val,X: val] :
( ( ord_less_eq_set_val @ A @ B )
=> ( ( member_val @ X @ A )
=> ( member_val @ X @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[487]) ).
thf(500,plain,
( ( ! [A: set_val,B: set_val,C: val] :
( ( ord_less_eq_set_val @ A @ B )
=> ( ( member_val @ C @ A )
=> ( member_val @ C @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[486]) ).
thf(501,plain,
( ( ! [A: set_val,B: set_val] :
( ( A = B )
=> ~ ( ( ord_less_eq_set_val @ A @ B )
=> ~ ( ord_less_eq_set_val @ B @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[485]) ).
thf(502,plain,
( ( ord_less_eq_set_val
= ( ^ [A2: set_val,B2: set_val] :
! [X3: val] :
( ( member_val @ X3 @ A2 )
=> ( member_val @ X3 @ B2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[484]) ).
thf(503,plain,
( ( ! [A: set_val,B: set_val] :
( ( A = B )
=> ( ord_less_eq_set_val @ A @ B ) ) )
= $true ),
inference(copy,[status(thm)],[483]) ).
thf(504,plain,
( ( ! [A: set_val,B: set_val] :
( ( A = B )
=> ( ord_less_eq_set_val @ B @ A ) ) )
= $true ),
inference(copy,[status(thm)],[482]) ).
thf(505,plain,
( ( ord_less_eq_set_val
= ( ^ [A2: set_val,B2: set_val] :
! [T: val] :
( ( member_val @ T @ A2 )
=> ( member_val @ T @ B2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[481]) ).
thf(506,plain,
( ( ! [A: set_val] : ( ord_less_eq_set_val @ A @ A ) )
= $true ),
inference(copy,[status(thm)],[480]) ).
thf(507,plain,
( ( ! [T2: set_val,T3: set_val,E: set_val,E2: set_val,B3: $o] :
( ( ord_less_eq_set_val @ T2 @ T3 )
=> ( ( ord_less_eq_set_val @ E @ E2 )
=> ( ord_less_eq_set_val @ ( if_set_val @ B3 @ T2 @ E ) @ ( if_set_val @ B3 @ T3 @ E2 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[479]) ).
thf(508,plain,
( ( ! [P: val > $o,Q: val > $o] :
( ( ord_less_eq_set_val @ ( collect_val @ P ) @ ( collect_val @ Q ) )
= ( ! [X3: val] :
( ( P @ X3 )
=> ( Q @ X3 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[478]) ).
thf(509,plain,
( ( ( ^ [Y: set_val,Z: set_val] : ( Y = Z ) )
= ( ^ [A2: set_val,B2: set_val] :
( ( ord_less_eq_set_val @ A2 @ B2 )
& ( ord_less_eq_set_val @ B2 @ A2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[477]) ).
thf(510,plain,
( ( ! [A: set_val,B: set_val,C2: set_val] :
( ( ord_less_eq_set_val @ A @ B )
=> ( ( ord_less_eq_set_val @ B @ C2 )
=> ( ord_less_eq_set_val @ A @ C2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[476]) ).
thf(511,plain,
( ( ! [P: val > $o,Q: val > $o] :
( ! [X2: val] :
( ( P @ X2 )
=> ( Q @ X2 ) )
=> ( ord_less_eq_set_val @ ( collect_val @ P ) @ ( collect_val @ Q ) ) ) )
= $true ),
inference(copy,[status(thm)],[475]) ).
thf(512,plain,
( ( ! [B3: set_val,A3: set_val] :
( ( ord_less_eq_set_val @ B3 @ A3 )
=> ( ( ord_less_eq_set_val @ A3 @ B3 )
=> ( A3 = B3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[474]) ).
thf(513,plain,
( ( ( ^ [Y: set_val,Z: set_val] : ( Y = Z ) )
= ( ^ [A4: set_val,B4: set_val] :
( ( ord_less_eq_set_val @ B4 @ A4 )
& ( ord_less_eq_set_val @ A4 @ B4 ) ) ) )
= $true ),
inference(copy,[status(thm)],[473]) ).
thf(514,plain,
( ( ! [B3: set_val,A3: set_val,C: set_val] :
( ( ord_less_eq_set_val @ B3 @ A3 )
=> ( ( ord_less_eq_set_val @ C @ B3 )
=> ( ord_less_eq_set_val @ C @ A3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[472]) ).
thf(515,plain,
( ( ! [A3: set_val] : ( ord_less_eq_set_val @ A3 @ A3 ) )
= $true ),
inference(copy,[status(thm)],[471]) ).
thf(516,plain,
( ( ! [X: set_val,Y2: set_val,Z2: set_val] :
( ( ord_less_eq_set_val @ X @ Y2 )
=> ( ( ord_less_eq_set_val @ Y2 @ Z2 )
=> ( ord_less_eq_set_val @ X @ Z2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[470]) ).
thf(517,plain,
( ( ! [A3: set_val,B3: set_val] :
( ( ord_less_eq_set_val @ A3 @ B3 )
=> ( ( ord_less_eq_set_val @ B3 @ A3 )
=> ( A3 = B3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[469]) ).
thf(518,plain,
( ( ! [A3: set_val,B3: set_val,C: set_val] :
( ( ord_less_eq_set_val @ A3 @ B3 )
=> ( ( B3 = C )
=> ( ord_less_eq_set_val @ A3 @ C ) ) ) )
= $true ),
inference(copy,[status(thm)],[468]) ).
thf(519,plain,
( ( ! [F: $o > set_val,G: $o > set_val,X: $o] :
( ( ord_le994826475et_val @ F @ G )
=> ( ord_less_eq_set_val @ ( F @ X ) @ ( G @ X ) ) ) )
= $true ),
inference(copy,[status(thm)],[467]) ).
thf(520,plain,
( ( ! [F: $o > set_val,G: $o > set_val,X: $o] :
( ( ord_le994826475et_val @ F @ G )
=> ( ord_less_eq_set_val @ ( F @ X ) @ ( G @ X ) ) ) )
= $true ),
inference(copy,[status(thm)],[466]) ).
thf(521,plain,
( ( ! [F: $o > set_val,G: $o > set_val] :
( ! [X2: $o] : ( ord_less_eq_set_val @ ( F @ X2 ) @ ( G @ X2 ) )
=> ( ord_le994826475et_val @ F @ G ) ) )
= $true ),
inference(copy,[status(thm)],[465]) ).
thf(522,plain,
( ( ord_le994826475et_val
= ( ^ [F2: $o > set_val,G2: $o > set_val] :
! [X3: $o] : ( ord_less_eq_set_val @ ( F2 @ X3 ) @ ( G2 @ X3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[464]) ).
thf(523,plain,
( ( ! [A3: set_val,F: set_val > set_val,B3: set_val,C: set_val] :
( ( ord_less_eq_set_val @ A3 @ ( F @ B3 ) )
=> ( ( ord_less_eq_set_val @ B3 @ C )
=> ( ! [X2: set_val,Y3: set_val] :
( ( ord_less_eq_set_val @ X2 @ Y3 )
=> ( ord_less_eq_set_val @ ( F @ X2 ) @ ( F @ Y3 ) ) )
=> ( ord_less_eq_set_val @ A3 @ ( F @ C ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[463]) ).
thf(524,plain,
( ( ! [A3: set_val,F: val > set_val,B3: val,C: val] :
( ( ord_less_eq_set_val @ A3 @ ( F @ B3 ) )
=> ( ( ord_less_eq_val @ B3 @ C )
=> ( ! [X2: val,Y3: val] :
( ( ord_less_eq_val @ X2 @ Y3 )
=> ( ord_less_eq_set_val @ ( F @ X2 ) @ ( F @ Y3 ) ) )
=> ( ord_less_eq_set_val @ A3 @ ( F @ C ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[462]) ).
thf(525,plain,
( ( ! [A3: val,F: set_val > val,B3: set_val,C: set_val] :
( ( ord_less_eq_val @ A3 @ ( F @ B3 ) )
=> ( ( ord_less_eq_set_val @ B3 @ C )
=> ( ! [X2: set_val,Y3: set_val] :
( ( ord_less_eq_set_val @ X2 @ Y3 )
=> ( ord_less_eq_val @ ( F @ X2 ) @ ( F @ Y3 ) ) )
=> ( ord_less_eq_val @ A3 @ ( F @ C ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[461]) ).
thf(526,plain,
( ( ! [A3: set_val,F: set_set_val > set_val,B3: set_set_val,C: set_set_val] :
( ( ord_less_eq_set_val @ A3 @ ( F @ B3 ) )
=> ( ( ord_le1742111550et_val @ B3 @ C )
=> ( ! [X2: set_set_val,Y3: set_set_val] :
( ( ord_le1742111550et_val @ X2 @ Y3 )
=> ( ord_less_eq_set_val @ ( F @ X2 ) @ ( F @ Y3 ) ) )
=> ( ord_less_eq_set_val @ A3 @ ( F @ C ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[460]) ).
thf(527,plain,
( ( ! [A3: set_set_val,F: set_val > set_set_val,B3: set_val,C: set_val] :
( ( ord_le1742111550et_val @ A3 @ ( F @ B3 ) )
=> ( ( ord_less_eq_set_val @ B3 @ C )
=> ( ! [X2: set_val,Y3: set_val] :
( ( ord_less_eq_set_val @ X2 @ Y3 )
=> ( ord_le1742111550et_val @ ( F @ X2 ) @ ( F @ Y3 ) ) )
=> ( ord_le1742111550et_val @ A3 @ ( F @ C ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[459]) ).
thf(528,plain,
( ( ! [A3: set_val,B3: set_val,F: set_val > set_val,C: set_val] :
( ( ord_less_eq_set_val @ A3 @ B3 )
=> ( ( ord_less_eq_set_val @ ( F @ B3 ) @ C )
=> ( ! [X2: set_val,Y3: set_val] :
( ( ord_less_eq_set_val @ X2 @ Y3 )
=> ( ord_less_eq_set_val @ ( F @ X2 ) @ ( F @ Y3 ) ) )
=> ( ord_less_eq_set_val @ ( F @ A3 ) @ C ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[458]) ).
thf(529,plain,
( ( ! [A3: set_val,B3: set_val,F: set_val > val,C: val] :
( ( ord_less_eq_set_val @ A3 @ B3 )
=> ( ( ord_less_eq_val @ ( F @ B3 ) @ C )
=> ( ! [X2: set_val,Y3: set_val] :
( ( ord_less_eq_set_val @ X2 @ Y3 )
=> ( ord_less_eq_val @ ( F @ X2 ) @ ( F @ Y3 ) ) )
=> ( ord_less_eq_val @ ( F @ A3 ) @ C ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[457]) ).
thf(530,plain,
( ( ! [A3: val,B3: val,F: val > set_val,C: set_val] :
( ( ord_less_eq_val @ A3 @ B3 )
=> ( ( ord_less_eq_set_val @ ( F @ B3 ) @ C )
=> ( ! [X2: val,Y3: val] :
( ( ord_less_eq_val @ X2 @ Y3 )
=> ( ord_less_eq_set_val @ ( F @ X2 ) @ ( F @ Y3 ) ) )
=> ( ord_less_eq_set_val @ ( F @ A3 ) @ C ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[456]) ).
thf(531,plain,
( ( ! [A3: set_val,B3: set_val,F: set_val > set_set_val,C: set_set_val] :
( ( ord_less_eq_set_val @ A3 @ B3 )
=> ( ( ord_le1742111550et_val @ ( F @ B3 ) @ C )
=> ( ! [X2: set_val,Y3: set_val] :
( ( ord_less_eq_set_val @ X2 @ Y3 )
=> ( ord_le1742111550et_val @ ( F @ X2 ) @ ( F @ Y3 ) ) )
=> ( ord_le1742111550et_val @ ( F @ A3 ) @ C ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[455]) ).
thf(532,plain,
( ( ! [A3: set_set_val,B3: set_set_val,F: set_set_val > set_val,C: set_val] :
( ( ord_le1742111550et_val @ A3 @ B3 )
=> ( ( ord_less_eq_set_val @ ( F @ B3 ) @ C )
=> ( ! [X2: set_set_val,Y3: set_set_val] :
( ( ord_le1742111550et_val @ X2 @ Y3 )
=> ( ord_less_eq_set_val @ ( F @ X2 ) @ ( F @ Y3 ) ) )
=> ( ord_less_eq_set_val @ ( F @ A3 ) @ C ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[454]) ).
thf(533,plain,
( ( ! [A3: set_val,B3: set_val,C: set_val,D: set_val] :
( ( A3 = B3 )
=> ( ( ord_less_eq_set_val @ B3 @ C )
=> ( ( C = D )
=> ( ord_less_eq_set_val @ A3 @ D ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[453]) ).
thf(534,plain,
( ( ! [A3: set_val,F: set_val > set_val,B3: set_val,C: set_val] :
( ( A3
= ( F @ B3 ) )
=> ( ( ord_less_eq_set_val @ B3 @ C )
=> ( ! [X2: set_val,Y3: set_val] :
( ( ord_less_eq_set_val @ X2 @ Y3 )
=> ( ord_less_eq_set_val @ ( F @ X2 ) @ ( F @ Y3 ) ) )
=> ( ord_less_eq_set_val @ A3 @ ( F @ C ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[452]) ).
thf(535,plain,
( ( ! [A3: val,F: set_val > val,B3: set_val,C: set_val] :
( ( A3
= ( F @ B3 ) )
=> ( ( ord_less_eq_set_val @ B3 @ C )
=> ( ! [X2: set_val,Y3: set_val] :
( ( ord_less_eq_set_val @ X2 @ Y3 )
=> ( ord_less_eq_val @ ( F @ X2 ) @ ( F @ Y3 ) ) )
=> ( ord_less_eq_val @ A3 @ ( F @ C ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[451]) ).
thf(536,plain,
( ( ! [A3: set_val,F: val > set_val,B3: val,C: val] :
( ( A3
= ( F @ B3 ) )
=> ( ( ord_less_eq_val @ B3 @ C )
=> ( ! [X2: val,Y3: val] :
( ( ord_less_eq_val @ X2 @ Y3 )
=> ( ord_less_eq_set_val @ ( F @ X2 ) @ ( F @ Y3 ) ) )
=> ( ord_less_eq_set_val @ A3 @ ( F @ C ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[450]) ).
thf(537,plain,
( ( ! [A3: set_set_val,F: set_val > set_set_val,B3: set_val,C: set_val] :
( ( A3
= ( F @ B3 ) )
=> ( ( ord_less_eq_set_val @ B3 @ C )
=> ( ! [X2: set_val,Y3: set_val] :
( ( ord_less_eq_set_val @ X2 @ Y3 )
=> ( ord_le1742111550et_val @ ( F @ X2 ) @ ( F @ Y3 ) ) )
=> ( ord_le1742111550et_val @ A3 @ ( F @ C ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[449]) ).
thf(538,plain,
( ( ! [A3: set_val,F: set_set_val > set_val,B3: set_set_val,C: set_set_val] :
( ( A3
= ( F @ B3 ) )
=> ( ( ord_le1742111550et_val @ B3 @ C )
=> ( ! [X2: set_set_val,Y3: set_set_val] :
( ( ord_le1742111550et_val @ X2 @ Y3 )
=> ( ord_less_eq_set_val @ ( F @ X2 ) @ ( F @ Y3 ) ) )
=> ( ord_less_eq_set_val @ A3 @ ( F @ C ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[448]) ).
thf(539,plain,
( ( ! [A3: set_val,B3: set_val,F: set_val > set_val,C: set_val] :
( ( ord_less_eq_set_val @ A3 @ B3 )
=> ( ( ( F @ B3 )
= C )
=> ( ! [X2: set_val,Y3: set_val] :
( ( ord_less_eq_set_val @ X2 @ Y3 )
=> ( ord_less_eq_set_val @ ( F @ X2 ) @ ( F @ Y3 ) ) )
=> ( ord_less_eq_set_val @ ( F @ A3 ) @ C ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[447]) ).
thf(540,plain,
( ( ! [A3: set_val,B3: set_val,F: set_val > val,C: val] :
( ( ord_less_eq_set_val @ A3 @ B3 )
=> ( ( ( F @ B3 )
= C )
=> ( ! [X2: set_val,Y3: set_val] :
( ( ord_less_eq_set_val @ X2 @ Y3 )
=> ( ord_less_eq_val @ ( F @ X2 ) @ ( F @ Y3 ) ) )
=> ( ord_less_eq_val @ ( F @ A3 ) @ C ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[446]) ).
thf(541,plain,
( ( ! [A3: val,B3: val,F: val > set_val,C: set_val] :
( ( ord_less_eq_val @ A3 @ B3 )
=> ( ( ( F @ B3 )
= C )
=> ( ! [X2: val,Y3: val] :
( ( ord_less_eq_val @ X2 @ Y3 )
=> ( ord_less_eq_set_val @ ( F @ X2 ) @ ( F @ Y3 ) ) )
=> ( ord_less_eq_set_val @ ( F @ A3 ) @ C ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[445]) ).
thf(542,plain,
( ( ! [A3: set_val,B3: set_val,F: set_val > set_set_val,C: set_set_val] :
( ( ord_less_eq_set_val @ A3 @ B3 )
=> ( ( ( F @ B3 )
= C )
=> ( ! [X2: set_val,Y3: set_val] :
( ( ord_less_eq_set_val @ X2 @ Y3 )
=> ( ord_le1742111550et_val @ ( F @ X2 ) @ ( F @ Y3 ) ) )
=> ( ord_le1742111550et_val @ ( F @ A3 ) @ C ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[444]) ).
thf(543,plain,
( ( ! [A3: set_set_val,B3: set_set_val,F: set_set_val > set_val,C: set_val] :
( ( ord_le1742111550et_val @ A3 @ B3 )
=> ( ( ( F @ B3 )
= C )
=> ( ! [X2: set_set_val,Y3: set_set_val] :
( ( ord_le1742111550et_val @ X2 @ Y3 )
=> ( ord_less_eq_set_val @ ( F @ X2 ) @ ( F @ Y3 ) ) )
=> ( ord_less_eq_set_val @ ( F @ A3 ) @ C ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[443]) ).
thf(544,plain,
( ( ( ^ [Y: set_val,Z: set_val] : ( Y = Z ) )
= ( ^ [X3: set_val,Y4: set_val] :
( ( ord_less_eq_set_val @ X3 @ Y4 )
& ( ord_less_eq_set_val @ Y4 @ X3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[442]) ).
thf(545,plain,
( ( ! [X: set_val,Y2: set_val] :
( ( ord_less_eq_set_val @ X @ Y2 )
=> ( ( ord_less_eq_set_val @ Y2 @ X )
=> ( X = Y2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[441]) ).
thf(546,plain,
( ( ! [X: set_val,Y2: set_val] :
( ( X = Y2 )
=> ( ord_less_eq_set_val @ X @ Y2 ) ) )
= $true ),
inference(copy,[status(thm)],[440]) ).
thf(547,plain,
( ( ! [A3: set_val,B3: set_val,C: set_val] :
( ( ord_less_eq_set_val @ A3 @ B3 )
=> ( ( ord_less_eq_set_val @ B3 @ C )
=> ( ord_less_eq_set_val @ A3 @ C ) ) ) )
= $true ),
inference(copy,[status(thm)],[439]) ).
thf(548,plain,
( ( ! [Y2: set_val,X: set_val] :
( ( ord_less_eq_set_val @ Y2 @ X )
=> ( ( ord_less_eq_set_val @ X @ Y2 )
= ( X = Y2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[438]) ).
thf(549,plain,
( ( ( ^ [Y: set_val,Z: set_val] : ( Y = Z ) )
= ( ^ [A4: set_val,B4: set_val] :
( ( ord_less_eq_set_val @ A4 @ B4 )
& ( ord_less_eq_set_val @ B4 @ A4 ) ) ) )
= $true ),
inference(copy,[status(thm)],[437]) ).
thf(550,plain,
( ( ! [A3: set_val,B3: set_val,C: set_val] :
( ( A3 = B3 )
=> ( ( ord_less_eq_set_val @ B3 @ C )
=> ( ord_less_eq_set_val @ A3 @ C ) ) ) )
= $true ),
inference(copy,[status(thm)],[436]) ).
thf(551,plain,
( ( ! [P: set_val > $o,X: set_val,Q: set_val > $o] :
( ( P @ X )
=> ( ! [Y3: set_val] :
( ( P @ Y3 )
=> ( ord_less_eq_set_val @ Y3 @ X ) )
=> ( ! [X2: set_val] :
( ( P @ X2 )
=> ( ! [Y5: set_val] :
( ( P @ Y5 )
=> ( ord_less_eq_set_val @ Y5 @ X2 ) )
=> ( Q @ X2 ) ) )
=> ( Q @ ( order_1960465943et_val @ P ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[435]) ).
thf(552,plain,
( ( ! [P: set_val > $o,X: set_val] :
( ( P @ X )
=> ( ! [Y3: set_val] :
( ( P @ Y3 )
=> ( ord_less_eq_set_val @ Y3 @ X ) )
=> ( ( order_1960465943et_val @ P )
= X ) ) ) )
= $true ),
inference(copy,[status(thm)],[434]) ).
thf(553,plain,
( ( ! [B3: $o,M1: set_val,M12: set_val,M2: set_val,M22: set_val] :
( ( B3
=> ( ord_less_eq_set_val @ M1 @ M12 ) )
=> ( ( ~ B3
=> ( ord_less_eq_set_val @ M2 @ M22 ) )
=> ( ord_less_eq_set_val @ ( if_set_val @ B3 @ M1 @ M2 ) @ ( if_set_val @ B3 @ M12 @ M22 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[433]) ).
thf(554,plain,
( ( ! [B3: $o,T2: set_val,M: set_val,E: set_val] :
( ( B3
=> ( ord_less_eq_set_val @ T2 @ M ) )
=> ( ( ~ B3
=> ( ord_less_eq_set_val @ E @ M ) )
=> ( ord_less_eq_set_val @ ( if_set_val @ B3 @ T2 @ E ) @ M ) ) ) )
= $true ),
inference(copy,[status(thm)],[432]) ).
thf(555,plain,
( ( ord_le994826475et_val
= ( ^ [X4: $o > set_val,Y6: $o > set_val] :
( ( ord_less_eq_set_val @ ( X4 @ $false ) @ ( Y6 @ $false ) )
& ( ord_less_eq_set_val @ ( X4 @ $true ) @ ( Y6 @ $true ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[431]) ).
thf(556,plain,
( ( ! [F: set_val > set_val,X: set_val,Y2: set_val] :
( ( order_1719375026et_val @ F )
=> ( ( ord_less_eq_set_val @ X @ Y2 )
=> ( ord_less_eq_set_val @ ( F @ Y2 ) @ ( F @ X ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[430]) ).
thf(557,plain,
( ( ! [F: set_val > set_val,X: set_val,Y2: set_val] :
( ( order_1719375026et_val @ F )
=> ( ( ord_less_eq_set_val @ X @ Y2 )
=> ( ord_less_eq_set_val @ ( F @ Y2 ) @ ( F @ X ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[429]) ).
thf(558,plain,
( ( order_1719375026et_val
= ( ^ [F2: set_val > set_val] :
! [X3: set_val,Y4: set_val] :
( ( ord_less_eq_set_val @ X3 @ Y4 )
=> ( ord_less_eq_set_val @ ( F2 @ Y4 ) @ ( F2 @ X3 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[428]) ).
thf(559,plain,
( ( ! [F: set_val > set_val] :
( ! [X2: set_val,Y3: set_val] :
( ( ord_less_eq_set_val @ X2 @ Y3 )
=> ( ord_less_eq_set_val @ ( F @ Y3 ) @ ( F @ X2 ) ) )
=> ( order_1719375026et_val @ F ) ) )
= $true ),
inference(copy,[status(thm)],[427]) ).
thf(560,plain,
( ( refine275900453et_val @ ord_less_eq_set_val )
= $true ),
inference(copy,[status(thm)],[426]) ).
thf(561,plain,
( ( ! [Alpha: set_val > set_val,Gamma: set_val > set_val,X: set_val] :
( ( refine1929691018et_val @ Alpha @ Gamma )
=> ( ord_less_eq_set_val @ X @ ( Gamma @ ( Alpha @ X ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[425]) ).
thf(562,plain,
( ( ! [Alpha: set_val > set_val,Gamma: set_val > set_val,X: set_val] :
( ( refine1929691018et_val @ Alpha @ Gamma )
=> ( ord_less_eq_set_val @ ( Alpha @ ( Gamma @ X ) ) @ X ) ) )
= $true ),
inference(copy,[status(thm)],[424]) ).
thf(563,plain,
( ( ! [Alpha: set_val > set_val,Gamma: set_val > set_val,C: set_val,A3: set_val] :
( ( refine1929691018et_val @ Alpha @ Gamma )
=> ( ( ord_less_eq_set_val @ C @ ( Gamma @ A3 ) )
= ( ord_less_eq_set_val @ ( Alpha @ C ) @ A3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[423]) ).
thf(564,plain,
( ( ! [Gamma: set_val > set_val,Alpha: set_val > set_val] :
( ! [C3: set_val,A5: set_val] :
( ( ord_less_eq_set_val @ C3 @ ( Gamma @ A5 ) )
= ( ord_less_eq_set_val @ ( Alpha @ C3 ) @ A5 ) )
=> ( refine1929691018et_val @ Alpha @ Gamma ) ) )
= $true ),
inference(copy,[status(thm)],[422]) ).
thf(565,plain,
( ( refine1929691018et_val
= ( ^ [Alpha2: set_val > set_val,Gamma2: set_val > set_val] :
! [C4: set_val,A4: set_val] :
( ( ord_less_eq_set_val @ C4 @ ( Gamma2 @ A4 ) )
= ( ord_less_eq_set_val @ ( Alpha2 @ C4 ) @ A4 ) ) ) )
= $true ),
inference(copy,[status(thm)],[421]) ).
thf(566,plain,
( ( ! [A: set_val,B: set_val] :
( ( ord_less_eq_set_val @ A @ B )
=> ( ( A != B )
=> ( ord_less_set_val @ A @ B ) ) ) )
= $true ),
inference(copy,[status(thm)],[420]) ).
thf(567,plain,
( ( ! [L: set_val,H: set_val,L2: set_val,H2: set_val] :
( ( ( set_or1554624499et_val @ L @ H )
= ( set_or1554624499et_val @ L2 @ H2 ) )
= ( ( ( L = L2 )
& ( H = H2 ) )
| ( ~ ( ord_less_eq_set_val @ L @ H )
& ~ ( ord_less_eq_set_val @ L2 @ H2 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[419]) ).
thf(568,plain,
( ( ! [A: set_val,B: set_val] :
( ( ord_less_eq_set_val @ A @ B )
=> ( ord_less_eq_set_val @ ( uminus1961393973et_val @ B ) @ ( uminus1961393973et_val @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[418]) ).
thf(569,plain,
( ( ! [A: set_val,B: set_val] :
( ( ord_less_eq_set_val @ ( uminus1961393973et_val @ A ) @ ( uminus1961393973et_val @ B ) )
= ( ord_less_eq_set_val @ B @ A ) ) )
= $true ),
inference(copy,[status(thm)],[417]) ).
thf(570,plain,
( ( ! [Y2: set_val,X: set_val] :
( ( ord_less_eq_set_val @ Y2 @ X )
=> ~ ( ord_less_set_val @ X @ Y2 ) ) )
= $true ),
inference(copy,[status(thm)],[416]) ).
thf(571,plain,
( ( ord_less_eq_set_val
= ( ^ [X3: set_val,Y4: set_val] :
( ( ord_less_set_val @ X3 @ Y4 )
| ( X3 = Y4 ) ) ) )
= $true ),
inference(copy,[status(thm)],[415]) ).
thf(572,plain,
( ( ord_less_set_val
= ( ^ [X3: set_val,Y4: set_val] :
( ( ord_less_eq_set_val @ X3 @ Y4 )
& ( X3 != Y4 ) ) ) )
= $true ),
inference(copy,[status(thm)],[414]) ).
thf(573,plain,
( ( ! [A3: set_val,B3: set_val,F: set_val > set_val,C: set_val] :
( ( ord_less_eq_set_val @ A3 @ B3 )
=> ( ( ord_less_set_val @ ( F @ B3 ) @ C )
=> ( ! [X2: set_val,Y3: set_val] :
( ( ord_less_eq_set_val @ X2 @ Y3 )
=> ( ord_less_eq_set_val @ ( F @ X2 ) @ ( F @ Y3 ) ) )
=> ( ord_less_set_val @ ( F @ A3 ) @ C ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[413]) ).
thf(574,plain,
( ( ! [A3: set_val,F: set_val > set_val,B3: set_val,C: set_val] :
( ( ord_less_set_val @ A3 @ ( F @ B3 ) )
=> ( ( ord_less_eq_set_val @ B3 @ C )
=> ( ! [X2: set_val,Y3: set_val] :
( ( ord_less_eq_set_val @ X2 @ Y3 )
=> ( ord_less_eq_set_val @ ( F @ X2 ) @ ( F @ Y3 ) ) )
=> ( ord_less_set_val @ A3 @ ( F @ C ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[412]) ).
thf(575,plain,
( ( ! [A3: set_val,B3: set_val] :
( ( ord_less_eq_set_val @ A3 @ B3 )
=> ( ( A3 != B3 )
=> ( ord_less_set_val @ A3 @ B3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[411]) ).
thf(576,plain,
( ( ! [X: set_val,Y2: set_val] :
( ~ ( ord_less_set_val @ X @ Y2 )
=> ( ( ord_less_eq_set_val @ X @ Y2 )
= ( X = Y2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[410]) ).
thf(577,plain,
( ( ! [X: set_val,Y2: set_val] :
( ( ord_less_eq_set_val @ X @ Y2 )
=> ( ( ~ ( ord_less_set_val @ X @ Y2 ) )
= ( X = Y2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[409]) ).
thf(578,plain,
( ( ! [X: set_val,Y2: set_val] :
( ( ord_less_set_val @ X @ Y2 )
=> ( ord_less_eq_set_val @ X @ Y2 ) ) )
= $true ),
inference(copy,[status(thm)],[408]) ).
thf(579,plain,
( ( ! [X: set_val,Y2: set_val,Z2: set_val] :
( ( ord_less_eq_set_val @ X @ Y2 )
=> ( ( ord_less_set_val @ Y2 @ Z2 )
=> ( ord_less_set_val @ X @ Z2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[407]) ).
thf(580,plain,
( ( ! [X: set_val,Y2: set_val,Z2: set_val] :
( ( ord_less_set_val @ X @ Y2 )
=> ( ( ord_less_eq_set_val @ Y2 @ Z2 )
=> ( ord_less_set_val @ X @ Z2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[406]) ).
thf(581,plain,
( ( ! [X: set_val,Y2: set_val] :
( ( ord_less_eq_set_val @ X @ Y2 )
=> ( ( ord_less_set_val @ X @ Y2 )
| ( X = Y2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[405]) ).
thf(582,plain,
( ( ord_less_set_val
= ( ^ [X3: set_val,Y4: set_val] :
( ( ord_less_eq_set_val @ X3 @ Y4 )
& ~ ( ord_less_eq_set_val @ Y4 @ X3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[404]) ).
thf(583,plain,
( ( ! [A3: set_val,B3: set_val,C: set_val] :
( ( ord_less_eq_set_val @ A3 @ B3 )
=> ( ( ord_less_set_val @ B3 @ C )
=> ( ord_less_set_val @ A3 @ C ) ) ) )
= $true ),
inference(copy,[status(thm)],[403]) ).
thf(584,plain,
( ( ! [A3: set_val,B3: set_val,C: set_val] :
( ( ord_less_set_val @ A3 @ B3 )
=> ( ( ord_less_eq_set_val @ B3 @ C )
=> ( ord_less_set_val @ A3 @ C ) ) ) )
= $true ),
inference(copy,[status(thm)],[402]) ).
thf(585,plain,
( ( ord_less_eq_set_val
= ( ^ [A4: set_val,B4: set_val] :
( ( ord_less_set_val @ A4 @ B4 )
| ( A4 = B4 ) ) ) )
= $true ),
inference(copy,[status(thm)],[401]) ).
thf(586,plain,
( ( ord_less_set_val
= ( ^ [A4: set_val,B4: set_val] :
( ( ord_less_eq_set_val @ A4 @ B4 )
& ( A4 != B4 ) ) ) )
= $true ),
inference(copy,[status(thm)],[400]) ).
thf(587,plain,
( ( ! [B3: set_val,A3: set_val,C: set_val] :
( ( ord_less_eq_set_val @ B3 @ A3 )
=> ( ( ord_less_set_val @ C @ B3 )
=> ( ord_less_set_val @ C @ A3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[399]) ).
thf(588,plain,
( ( ! [B3: set_val,A3: set_val,C: set_val] :
( ( ord_less_set_val @ B3 @ A3 )
=> ( ( ord_less_eq_set_val @ C @ B3 )
=> ( ord_less_set_val @ C @ A3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[398]) ).
thf(589,plain,
( ( ! [A3: set_val,B3: set_val] :
( ( ord_less_set_val @ A3 @ B3 )
=> ( ord_less_eq_set_val @ A3 @ B3 ) ) )
= $true ),
inference(copy,[status(thm)],[397]) ).
thf(590,plain,
( ( ord_less_eq_set_val
= ( ^ [B4: set_val,A4: set_val] :
( ( ord_less_set_val @ B4 @ A4 )
| ( A4 = B4 ) ) ) )
= $true ),
inference(copy,[status(thm)],[396]) ).
thf(591,plain,
( ( ord_less_set_val
= ( ^ [B4: set_val,A4: set_val] :
( ( ord_less_eq_set_val @ B4 @ A4 )
& ( A4 != B4 ) ) ) )
= $true ),
inference(copy,[status(thm)],[395]) ).
thf(592,plain,
( ( ! [B3: set_val,A3: set_val] :
( ( ord_less_set_val @ B3 @ A3 )
=> ( ord_less_eq_set_val @ B3 @ A3 ) ) )
= $true ),
inference(copy,[status(thm)],[394]) ).
thf(593,plain,
( ( ! [A3: set_val,B3: set_val] :
( ( A3 != B3 )
=> ( ( ord_less_eq_set_val @ A3 @ B3 )
=> ( ord_less_set_val @ A3 @ B3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[393]) ).
thf(594,plain,
( ( ! [A: set_val,B: set_val] :
( ( ord_less_set_val @ A @ B )
=> ~ ( ( ord_less_eq_set_val @ A @ B )
=> ( ord_less_eq_set_val @ B @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[392]) ).
thf(595,plain,
( ( ord_less_set_val
= ( ^ [A2: set_val,B2: set_val] :
( ( ord_less_eq_set_val @ A2 @ B2 )
& ( A2 != B2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[391]) ).
thf(596,plain,
( ( ! [A: set_val,B: set_val] :
( ( ord_less_set_val @ A @ B )
=> ( ord_less_eq_set_val @ A @ B ) ) )
= $true ),
inference(copy,[status(thm)],[390]) ).
thf(597,plain,
( ( ! [A: set_val,B: set_val,C2: set_val] :
( ( ord_less_set_val @ A @ B )
=> ( ( ord_less_eq_set_val @ B @ C2 )
=> ( ord_less_set_val @ A @ C2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[389]) ).
thf(598,plain,
( ( ord_less_set_val
= ( ^ [A2: set_val,B2: set_val] :
( ( ord_less_eq_set_val @ A2 @ B2 )
& ~ ( ord_less_eq_set_val @ B2 @ A2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[388]) ).
thf(599,plain,
( ( ! [A: set_val,B: set_val,C2: set_val] :
( ( ord_less_eq_set_val @ A @ B )
=> ( ( ord_less_set_val @ B @ C2 )
=> ( ord_less_set_val @ A @ C2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[387]) ).
thf(600,plain,
( ( ord_less_eq_set_val
= ( ^ [A2: set_val,B2: set_val] :
( ( ord_less_set_val @ A2 @ B2 )
| ( A2 = B2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[386]) ).
thf(601,plain,
( ( ! [X: set_val,Y2: set_val] :
( ( ord_less_eq_set_val @ ( uminus1961393973et_val @ X ) @ ( uminus1961393973et_val @ Y2 ) )
= ( ord_less_eq_set_val @ Y2 @ X ) ) )
= $true ),
inference(copy,[status(thm)],[385]) ).
thf(602,plain,
( ( ! [X: set_val,Y2: set_val] :
( ( ord_less_eq_set_val @ X @ Y2 )
=> ( ord_less_eq_set_val @ ( uminus1961393973et_val @ Y2 ) @ ( uminus1961393973et_val @ X ) ) ) )
= $true ),
inference(copy,[status(thm)],[384]) ).
thf(603,plain,
( ( ! [Y2: set_val,X: set_val] :
( ( ord_less_eq_set_val @ Y2 @ ( uminus1961393973et_val @ X ) )
=> ( ord_less_eq_set_val @ X @ ( uminus1961393973et_val @ Y2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[383]) ).
thf(604,plain,
( ( ! [Y2: set_val,X: set_val] :
( ( ord_less_eq_set_val @ ( uminus1961393973et_val @ Y2 ) @ X )
=> ( ord_less_eq_set_val @ ( uminus1961393973et_val @ X ) @ Y2 ) ) )
= $true ),
inference(copy,[status(thm)],[382]) ).
thf(605,plain,
( ( ! [X: set_val,Y2: set_val,Z2: set_val] :
( ( ord_less_eq_set_val @ ( sup_sup_set_val @ X @ Y2 ) @ Z2 )
= ( ( ord_less_eq_set_val @ X @ Z2 )
& ( ord_less_eq_set_val @ Y2 @ Z2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[381]) ).
thf(606,plain,
( ( ! [B3: set_val,C: set_val,A3: set_val] :
( ( ord_less_eq_set_val @ ( sup_sup_set_val @ B3 @ C ) @ A3 )
= ( ( ord_less_eq_set_val @ B3 @ A3 )
& ( ord_less_eq_set_val @ C @ A3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[380]) ).
thf(607,plain,
( ( ! [A: set_val,B: set_val,C2: set_val] :
( ( ord_less_eq_set_val @ ( sup_sup_set_val @ A @ B ) @ C2 )
= ( ( ord_less_eq_set_val @ A @ C2 )
& ( ord_less_eq_set_val @ B @ C2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[379]) ).
thf(608,plain,
( ( ! [C: set_val,B3: set_val,A3: set_val] :
( ( ord_less_eq_set_val @ C @ B3 )
=> ( ord_less_eq_set_val @ C @ ( sup_sup_set_val @ A3 @ B3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[378]) ).
thf(609,plain,
( ( ! [C: set_val,A3: set_val,B3: set_val] :
( ( ord_less_eq_set_val @ C @ A3 )
=> ( ord_less_eq_set_val @ C @ ( sup_sup_set_val @ A3 @ B3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[377]) ).
thf(610,plain,
( ( ord_less_eq_set_val
= ( ^ [A4: set_val,B4: set_val] :
( ( sup_sup_set_val @ A4 @ B4 )
= B4 ) ) )
= $true ),
inference(copy,[status(thm)],[376]) ).
thf(611,plain,
( ( ord_less_eq_set_val
= ( ^ [B4: set_val,A4: set_val] :
( ( sup_sup_set_val @ A4 @ B4 )
= A4 ) ) )
= $true ),
inference(copy,[status(thm)],[375]) ).
thf(612,plain,
( ( ! [B3: set_val,A3: set_val] : ( ord_less_eq_set_val @ B3 @ ( sup_sup_set_val @ A3 @ B3 ) ) )
= $true ),
inference(copy,[status(thm)],[374]) ).
thf(613,plain,
( ( ! [A3: set_val,B3: set_val] : ( ord_less_eq_set_val @ A3 @ ( sup_sup_set_val @ A3 @ B3 ) ) )
= $true ),
inference(copy,[status(thm)],[373]) ).
thf(614,plain,
( ( ord_less_eq_set_val
= ( ^ [B4: set_val,A4: set_val] :
( A4
= ( sup_sup_set_val @ A4 @ B4 ) ) ) )
= $true ),
inference(copy,[status(thm)],[372]) ).
thf(615,plain,
( ( ! [B3: set_val,A3: set_val,C: set_val] :
( ( ord_less_eq_set_val @ B3 @ A3 )
=> ( ( ord_less_eq_set_val @ C @ A3 )
=> ( ord_less_eq_set_val @ ( sup_sup_set_val @ B3 @ C ) @ A3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[371]) ).
thf(616,plain,
( ( ! [B3: set_val,C: set_val,A3: set_val] :
( ( ord_less_eq_set_val @ ( sup_sup_set_val @ B3 @ C ) @ A3 )
=> ~ ( ( ord_less_eq_set_val @ B3 @ A3 )
=> ~ ( ord_less_eq_set_val @ C @ A3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[370]) ).
thf(617,plain,
( ( ! [X: set_val,Y2: set_val] :
( ( ord_less_eq_set_val @ X @ Y2 )
=> ( ( sup_sup_set_val @ X @ Y2 )
= Y2 ) ) )
= $true ),
inference(copy,[status(thm)],[369]) ).
thf(618,plain,
( ( ! [Y2: set_val,X: set_val] :
( ( ord_less_eq_set_val @ Y2 @ X )
=> ( ( sup_sup_set_val @ X @ Y2 )
= X ) ) )
= $true ),
inference(copy,[status(thm)],[368]) ).
thf(619,plain,
( ( ! [A3: set_val,B3: set_val] :
( ( ord_less_eq_set_val @ A3 @ B3 )
=> ( ( sup_sup_set_val @ A3 @ B3 )
= B3 ) ) )
= $true ),
inference(copy,[status(thm)],[367]) ).
thf(620,plain,
( ( ! [B3: set_val,A3: set_val] :
( ( ord_less_eq_set_val @ B3 @ A3 )
=> ( ( sup_sup_set_val @ A3 @ B3 )
= A3 ) ) )
= $true ),
inference(copy,[status(thm)],[366]) ).
thf(621,plain,
( ( ! [F: set_val > set_val > set_val,X: set_val,Y2: set_val] :
( ! [X2: set_val,Y3: set_val] : ( ord_less_eq_set_val @ X2 @ ( F @ X2 @ Y3 ) )
=> ( ! [X2: set_val,Y3: set_val] : ( ord_less_eq_set_val @ Y3 @ ( F @ X2 @ Y3 ) )
=> ( ! [X2: set_val,Y3: set_val,Z3: set_val] :
( ( ord_less_eq_set_val @ Y3 @ X2 )
=> ( ( ord_less_eq_set_val @ Z3 @ X2 )
=> ( ord_less_eq_set_val @ ( F @ Y3 @ Z3 ) @ X2 ) ) )
=> ( ( sup_sup_set_val @ X @ Y2 )
= ( F @ X @ Y2 ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[365]) ).
thf(622,plain,
( ( ! [A3: set_val,B3: set_val] :
( ( A3
= ( sup_sup_set_val @ A3 @ B3 ) )
=> ( ord_less_eq_set_val @ B3 @ A3 ) ) )
= $true ),
inference(copy,[status(thm)],[364]) ).
thf(623,plain,
( ( ! [P: $o] :
( ( P = $true )
| ( P = $false ) ) )
= $true ),
inference(copy,[status(thm)],[363]) ).
thf(624,plain,
( ( ~ ( ord_less_eq_set_val @ scc @ p ) )
= $true ),
inference(copy,[status(thm)],[493]) ).
thf(625,plain,
( ( ! [SX0: set_val,SX1: set_val] :
( ~ ( ord_less_eq_set_val @ SX0 @ SX1 )
| ( ( sup_sup_set_val @ SX1 @ SX0 )
= SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[620]) ).
thf(626,plain,
( ( ! [SX0: set_val > set_val > set_val,SX1: set_val,SX2: set_val] :
( ~ ! [SX3: set_val,SX4: set_val] : ( ord_less_eq_set_val @ SX3 @ ( SX0 @ SX3 @ SX4 ) )
| ~ ! [SX3: set_val,SX4: set_val] : ( ord_less_eq_set_val @ SX4 @ ( SX0 @ SX3 @ SX4 ) )
| ~ ! [SX3: set_val,SX4: set_val,SX5: set_val] :
( ~ ( ord_less_eq_set_val @ SX4 @ SX3 )
| ~ ( ord_less_eq_set_val @ SX5 @ SX3 )
| ( ord_less_eq_set_val @ ( SX0 @ SX4 @ SX5 ) @ SX3 ) )
| ( ( sup_sup_set_val @ SX1 @ SX2 )
= ( SX0 @ SX1 @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[621]) ).
thf(627,plain,
( ( ! [SX0: set_val,SX1: set_val] :
( ~ ( ord_less_set_val @ SX0 @ SX1 )
| ~ ( ~ ( ord_less_eq_set_val @ SX0 @ SX1 )
| ( ord_less_eq_set_val @ SX1 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[594]) ).
thf(628,plain,
( ( ! [SX0: set_val,SX1: set_val,SX2: set_val] :
( ~ ( ord_less_eq_set_val @ SX0 @ SX1 )
| ~ ( ord_less_eq_set_val @ SX1 @ SX2 )
| ( ord_less_eq_set_val @ SX0 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[510]) ).
thf(629,plain,
( ( ! [SX0: set_val,SX1: val > set_val,SX2: val,SX3: val] :
( ~ ( ord_less_eq_set_val @ SX0 @ ( SX1 @ SX2 ) )
| ~ ( ord_less_eq_val @ SX2 @ SX3 )
| ~ ! [SX4: val,SX5: val] :
( ~ ( ord_less_eq_val @ SX4 @ SX5 )
| ( ord_less_eq_set_val @ ( SX1 @ SX4 ) @ ( SX1 @ SX5 ) ) )
| ( ord_less_eq_set_val @ SX0 @ ( SX1 @ SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[524]) ).
thf(630,plain,
( ( ! [SX0: val] :
( ~ ( member_val @ SX0 @ scc )
| ( member_val @ SX0 @ p ) ) )
= $true ),
inference(unfold_def,[status(thm)],[494]) ).
thf(631,plain,
( ( ! [SX0: set_val,SX1: set_val,SX2: set_val > set_set_val,SX3: set_set_val] :
( ~ ( ord_less_eq_set_val @ SX0 @ SX1 )
| ~ ( ord_le1742111550et_val @ ( SX2 @ SX1 ) @ SX3 )
| ~ ! [SX4: set_val,SX5: set_val] :
( ~ ( ord_less_eq_set_val @ SX4 @ SX5 )
| ( ord_le1742111550et_val @ ( SX2 @ SX4 ) @ ( SX2 @ SX5 ) ) )
| ( ord_le1742111550et_val @ ( SX2 @ SX0 ) @ SX3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[531]) ).
thf(632,plain,
( ( ord_less_set_val
= ( ^ [SX0: set_val,SX1: set_val] :
~ ( ~ ( ord_less_eq_set_val @ SX0 @ SX1 )
| ~ ( ( SX0 != SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[595]) ).
thf(633,plain,
( ( ( ^ [SX0: set_val,SX1: set_val] : ( SX0 = SX1 ) )
= ( ^ [SX0: set_val,SX1: set_val] :
~ ( ~ ( ord_less_eq_set_val @ SX0 @ SX1 )
| ~ ( ord_less_eq_set_val @ SX1 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[549]) ).
thf(634,plain,
( ( ! [SX0: set_set_val,SX1: set_val > set_set_val,SX2: set_val,SX3: set_val] :
( ~ ( ord_le1742111550et_val @ SX0 @ ( SX1 @ SX2 ) )
| ~ ( ord_less_eq_set_val @ SX2 @ SX3 )
| ~ ! [SX4: set_val,SX5: set_val] :
( ~ ( ord_less_eq_set_val @ SX4 @ SX5 )
| ( ord_le1742111550et_val @ ( SX1 @ SX4 ) @ ( SX1 @ SX5 ) ) )
| ( ord_le1742111550et_val @ SX0 @ ( SX1 @ SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[527]) ).
thf(635,plain,
( ( ord_less_set_val
= ( ^ [SX0: set_val,SX1: set_val] :
~ ( ~ ( ord_less_eq_set_val @ SX0 @ SX1 )
| ~ ~ ( ord_less_eq_set_val @ SX1 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[598]) ).
thf(636,plain,
( ( ord_less_set_val
= ( ^ [SX0: set_val,SX1: set_val] :
~ ( ~ ( ord_less_eq_set_val @ SX0 @ SX1 )
| ~ ( ( SX0 != SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[572]) ).
thf(637,plain,
( ( ! [SX0: set_val,SX1: set_val] :
( ~ ( ord_less_eq_set_val @ SX0 @ SX1 )
| ( ( sup_sup_set_val @ SX1 @ SX0 )
= SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[618]) ).
thf(638,plain,
( ( ! [SX0: set_val,SX1: set_val] :
( ( SX0 != SX1 )
| ~ ( ~ ( ord_less_eq_set_val @ SX0 @ SX1 )
| ~ ( ord_less_eq_set_val @ SX1 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[501]) ).
thf(639,plain,
( ( ! [SX0: set_val,SX1: set_val,SX2: set_val] :
( ( ord_less_eq_set_val @ ( sup_sup_set_val @ SX0 @ SX1 ) @ SX2 )
= ( ~ ( ~ ( ord_less_eq_set_val @ SX0 @ SX2 )
| ~ ( ord_less_eq_set_val @ SX1 @ SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[607]) ).
thf(640,plain,
( ( ! [SX0: val,SX1: set_val > val,SX2: set_val,SX3: set_val] :
( ~ ( ord_less_eq_val @ SX0 @ ( SX1 @ SX2 ) )
| ~ ( ord_less_eq_set_val @ SX2 @ SX3 )
| ~ ! [SX4: set_val,SX5: set_val] :
( ~ ( ord_less_eq_set_val @ SX4 @ SX5 )
| ( ord_less_eq_val @ ( SX1 @ SX4 ) @ ( SX1 @ SX5 ) ) )
| ( ord_less_eq_val @ SX0 @ ( SX1 @ SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[525]) ).
thf(641,plain,
( ( ! [SX0: set_val,SX1: set_val] :
( ( SX0 != SX1 )
| ( ord_less_eq_set_val @ SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[546]) ).
thf(642,plain,
( ( ! [SX0: set_val,SX1: set_val,SX2: set_val] :
( ( ord_less_eq_set_val @ ( sup_sup_set_val @ SX0 @ SX1 ) @ SX2 )
= ( ~ ( ~ ( ord_less_eq_set_val @ SX0 @ SX2 )
| ~ ( ord_less_eq_set_val @ SX1 @ SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[606]) ).
thf(643,plain,
( ( ! [SX0: set_val,SX1: set_val,SX2: set_val > set_set_val,SX3: set_set_val] :
( ~ ( ord_less_eq_set_val @ SX0 @ SX1 )
| ( ( SX2 @ SX1 )
!= SX3 )
| ~ ! [SX4: set_val,SX5: set_val] :
( ~ ( ord_less_eq_set_val @ SX4 @ SX5 )
| ( ord_le1742111550et_val @ ( SX2 @ SX4 ) @ ( SX2 @ SX5 ) ) )
| ( ord_le1742111550et_val @ ( SX2 @ SX0 ) @ SX3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[542]) ).
thf(644,plain,
( ( ! [SX0: set_val,SX1: set_val] :
( ~ ( ord_less_eq_set_val @ SX0 @ SX1 )
| ( ord_less_eq_set_val @ ( uminus1961393973et_val @ SX1 ) @ ( uminus1961393973et_val @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[602]) ).
thf(645,plain,
( ( ! [SX0: val,SX1: val,SX2: val > set_val,SX3: set_val] :
( ~ ( ord_less_eq_val @ SX0 @ SX1 )
| ( ( SX2 @ SX1 )
!= SX3 )
| ~ ! [SX4: val,SX5: val] :
( ~ ( ord_less_eq_val @ SX4 @ SX5 )
| ( ord_less_eq_set_val @ ( SX2 @ SX4 ) @ ( SX2 @ SX5 ) ) )
| ( ord_less_eq_set_val @ ( SX2 @ SX0 ) @ SX3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[541]) ).
thf(646,plain,
( ( ! [SX0: set_val,SX1: set_val,SX2: set_val] :
( ~ ( ord_less_eq_set_val @ SX0 @ SX1 )
| ( ord_less_eq_set_val @ SX0 @ ( sup_sup_set_val @ SX2 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[608]) ).
thf(647,plain,
( ( ! [SX0: set_val,SX1: set_val] :
( ( SX0 != SX1 )
| ( ord_less_eq_set_val @ SX1 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[504]) ).
thf(648,plain,
( ( ! [SX0: $o > set_val,SX1: $o > set_val,SX2: $o] :
( ~ ( ord_le994826475et_val @ SX0 @ SX1 )
| ( ord_less_eq_set_val @ ( SX0 @ SX2 ) @ ( SX1 @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[520]) ).
thf(649,plain,
( ( ! [SX0: set_val,SX1: set_val,SX2: set_val > set_val,SX3: set_val] :
( ~ ( ord_less_eq_set_val @ SX0 @ SX1 )
| ~ ( ord_less_eq_set_val @ ( SX2 @ SX1 ) @ SX3 )
| ~ ! [SX4: set_val,SX5: set_val] :
( ~ ( ord_less_eq_set_val @ SX4 @ SX5 )
| ( ord_less_eq_set_val @ ( SX2 @ SX4 ) @ ( SX2 @ SX5 ) ) )
| ( ord_less_eq_set_val @ ( SX2 @ SX0 ) @ SX3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[528]) ).
thf(650,plain,
( ( ( ^ [SX0: set_val,SX1: set_val] : ( SX0 = SX1 ) )
= ( ^ [SX0: set_val,SX1: set_val] :
~ ( ~ ( ord_less_eq_set_val @ SX0 @ SX1 )
| ~ ( ord_less_eq_set_val @ SX1 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[544]) ).
thf(651,plain,
( ( ! [SX0: val > $o,SX1: val > $o] :
( ( ord_less_eq_set_val @ ( collect_val @ SX0 ) @ ( collect_val @ SX1 ) )
= ( ! [SX2: val] :
( ~ ( SX0 @ SX2 )
| ( SX1 @ SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[508]) ).
thf(652,plain,
( ( ! [SX0: set_set_val,SX1: set_val > set_set_val,SX2: set_val,SX3: set_val] :
( ( SX0
!= ( SX1 @ SX2 ) )
| ~ ( ord_less_eq_set_val @ SX2 @ SX3 )
| ~ ! [SX4: set_val,SX5: set_val] :
( ~ ( ord_less_eq_set_val @ SX4 @ SX5 )
| ( ord_le1742111550et_val @ ( SX1 @ SX4 ) @ ( SX1 @ SX5 ) ) )
| ( ord_le1742111550et_val @ SX0 @ ( SX1 @ SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[537]) ).
thf(653,plain,
( ( ! [SX0: set_set_val,SX1: set_set_val,SX2: set_set_val > set_val,SX3: set_val] :
( ~ ( ord_le1742111550et_val @ SX0 @ SX1 )
| ~ ( ord_less_eq_set_val @ ( SX2 @ SX1 ) @ SX3 )
| ~ ! [SX4: set_set_val,SX5: set_set_val] :
( ~ ( ord_le1742111550et_val @ SX4 @ SX5 )
| ( ord_less_eq_set_val @ ( SX2 @ SX4 ) @ ( SX2 @ SX5 ) ) )
| ( ord_less_eq_set_val @ ( SX2 @ SX0 ) @ SX3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[532]) ).
thf(654,plain,
( ( ! [SX0: set_val,SX1: set_val] :
( ~ ( ord_less_set_val @ SX0 @ SX1 )
| ( ord_less_eq_set_val @ SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[589]) ).
thf(655,plain,
( ( ! [SX0: set_val,SX1: set_val,SX2: set_val,SX3: set_val] :
( ( SX0 != SX1 )
| ~ ( ord_less_eq_set_val @ SX1 @ SX2 )
| ( SX2 != SX3 )
| ( ord_less_eq_set_val @ SX0 @ SX3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[533]) ).
thf(656,plain,
( ( ! [SX0: set_val,SX1: set_set_val > set_val,SX2: set_set_val,SX3: set_set_val] :
( ( SX0
!= ( SX1 @ SX2 ) )
| ~ ( ord_le1742111550et_val @ SX2 @ SX3 )
| ~ ! [SX4: set_set_val,SX5: set_set_val] :
( ~ ( ord_le1742111550et_val @ SX4 @ SX5 )
| ( ord_less_eq_set_val @ ( SX1 @ SX4 ) @ ( SX1 @ SX5 ) ) )
| ( ord_less_eq_set_val @ SX0 @ ( SX1 @ SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[538]) ).
thf(657,plain,
( ( ! [SX0: set_val,SX1: set_val,SX2: set_val] :
( ~ ( ord_less_eq_set_val @ SX0 @ SX1 )
| ~ ( ord_less_eq_set_val @ SX1 @ SX2 )
| ( ord_less_eq_set_val @ SX0 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[547]) ).
thf(658,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)],[505]) ).
thf(659,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)],[495]) ).
thf(660,plain,
( ( ! [SX0: val,SX1: val,SX2: val > set_val,SX3: set_val] :
( ~ ( ord_less_eq_val @ SX0 @ SX1 )
| ~ ( ord_less_eq_set_val @ ( SX2 @ SX1 ) @ SX3 )
| ~ ! [SX4: val,SX5: val] :
( ~ ( ord_less_eq_val @ SX4 @ SX5 )
| ( ord_less_eq_set_val @ ( SX2 @ SX4 ) @ ( SX2 @ SX5 ) ) )
| ( ord_less_eq_set_val @ ( SX2 @ SX0 ) @ SX3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[530]) ).
thf(661,plain,
( ( ! [SX0: set_val,SX1: set_val,SX2: set_val] :
( ~ ( ord_less_eq_set_val @ SX0 @ SX1 )
| ~ ( ord_less_set_val @ SX1 @ SX2 )
| ( ord_less_set_val @ SX0 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[599]) ).
thf(662,plain,
( ( ! [SX0: set_val,SX1: set_val] :
( ~ ( ord_less_eq_set_val @ SX0 @ SX1 )
| ~ ( ord_less_eq_set_val @ SX1 @ SX0 )
| ( SX0 = SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[517]) ).
thf(663,plain,
( ( ! [SX0: set_val,SX1: set_val,SX2: set_val] :
( ~ ( ord_less_eq_set_val @ SX0 @ SX1 )
| ( SX1 != SX2 )
| ( ord_less_eq_set_val @ SX0 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[518]) ).
thf(664,plain,
( ( ! [SX0: set_val > $o,SX1: set_val] :
( ~ ( SX0 @ SX1 )
| ~ ! [SX2: set_val] :
( ~ ( SX0 @ SX2 )
| ( ord_less_eq_set_val @ SX2 @ SX1 ) )
| ( ( order_1960465943et_val @ SX0 )
= SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[552]) ).
thf(665,plain,
( ( ! [SX0: set_val,SX1: set_val,SX2: set_val,SX3: set_val,SX4: $o] :
( ~ ( ord_less_eq_set_val @ SX0 @ SX1 )
| ~ ( ord_less_eq_set_val @ SX2 @ SX3 )
| ( ord_less_eq_set_val @ ( if_set_val @ SX4 @ SX0 @ SX2 ) @ ( if_set_val @ SX4 @ SX1 @ SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[507]) ).
thf(666,plain,
( ( ( ^ [SX0: set_val,SX1: set_val] : ( SX0 = SX1 ) )
= ( ^ [SX0: set_val,SX1: set_val] :
~ ( ~ ( ord_less_eq_set_val @ SX0 @ SX1 )
| ~ ( ord_less_eq_set_val @ SX1 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[509]) ).
thf(667,plain,
( ( ! [SX0: set_val,SX1: set_val,SX2: set_val > set_val,SX3: set_val] :
( ~ ( ord_less_eq_set_val @ SX0 @ SX1 )
| ~ ( ord_less_set_val @ ( SX2 @ SX1 ) @ SX3 )
| ~ ! [SX4: set_val,SX5: set_val] :
( ~ ( ord_less_eq_set_val @ SX4 @ SX5 )
| ( ord_less_eq_set_val @ ( SX2 @ SX4 ) @ ( SX2 @ SX5 ) ) )
| ( ord_less_set_val @ ( SX2 @ SX0 ) @ SX3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[573]) ).
thf(668,plain,
( ( ! [SX0: set_val,SX1: set_val] :
( ~ ( ord_less_eq_set_val @ SX0 @ SX1 )
| ( ( ~ ( ord_less_set_val @ SX0 @ SX1 ) )
= ( SX0 = SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[577]) ).
thf(669,plain,
( ( ! [SX0: set_val,SX1: set_val,SX2: set_val] :
( ~ ( ord_less_eq_set_val @ SX0 @ SX1 )
| ~ ( ord_less_set_val @ SX1 @ SX2 )
| ( ord_less_set_val @ SX0 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[583]) ).
thf(670,plain,
( ( ! [SX0: set_val,SX1: set_val] :
( ~ ( ord_less_eq_set_val @ SX0 @ SX1 )
| ( ord_less_eq_set_val @ SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[498]) ).
thf(671,plain,
( ( ! [SX0: set_val,SX1: set_val,SX2: set_val > val,SX3: val] :
( ~ ( ord_less_eq_set_val @ SX0 @ SX1 )
| ( ( SX2 @ SX1 )
!= SX3 )
| ~ ! [SX4: set_val,SX5: set_val] :
( ~ ( ord_less_eq_set_val @ SX4 @ SX5 )
| ( ord_less_eq_val @ ( SX2 @ SX4 ) @ ( SX2 @ SX5 ) ) )
| ( ord_less_eq_val @ ( SX2 @ SX0 ) @ SX3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[540]) ).
thf(672,plain,
( ( ! [SX0: set_val,SX1: set_val] :
( ~ ( ( SX0 != SX1 ) )
| ~ ( ord_less_eq_set_val @ SX0 @ SX1 )
| ( ord_less_set_val @ SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[593]) ).
thf(673,plain,
( ( ! [SX0: set_val,SX1: set_val,SX2: set_val > set_val,SX3: set_val] :
( ~ ( ord_less_eq_set_val @ SX0 @ SX1 )
| ( ( SX2 @ SX1 )
!= SX3 )
| ~ ! [SX4: set_val,SX5: set_val] :
( ~ ( ord_less_eq_set_val @ SX4 @ SX5 )
| ( ord_less_eq_set_val @ ( SX2 @ SX4 ) @ ( SX2 @ SX5 ) ) )
| ( ord_less_eq_set_val @ ( SX2 @ SX0 ) @ SX3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[539]) ).
thf(674,plain,
( ( ! [SX0: val > $o,SX1: val > $o] :
( ~ ! [SX2: val] :
( ~ ( SX0 @ SX2 )
| ( SX1 @ SX2 ) )
| ( ord_less_eq_set_val @ ( collect_val @ SX0 ) @ ( collect_val @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[511]) ).
thf(675,plain,
( ( ! [SX0: set_val,SX1: set_val,SX2: set_val] :
( ~ ( ord_less_eq_set_val @ SX0 @ SX1 )
| ~ ( ord_less_set_val @ SX2 @ SX0 )
| ( ord_less_set_val @ SX2 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[587]) ).
thf(676,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)],[499]) ).
thf(677,plain,
( ( ord_le994826475et_val
= ( ^ [SX0: $o > set_val,SX1: $o > set_val] :
~ ( ~ ( ord_less_eq_set_val @ ( SX0 @ $false ) @ ( SX1 @ $false ) )
| ~ ( ord_less_eq_set_val @ ( SX0 @ $true ) @ ( SX1 @ $true ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[555]) ).
thf(678,plain,
( ( ! [SX0: set_val,SX1: set_val,SX2: set_val] :
( ~ ( ord_less_eq_set_val @ SX0 @ SX1 )
| ~ ( ord_less_eq_set_val @ SX2 @ SX1 )
| ( ord_less_eq_set_val @ ( sup_sup_set_val @ SX0 @ SX2 ) @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[615]) ).
thf(679,plain,
( ( ! [SX0: $o > set_val,SX1: $o > set_val,SX2: $o] :
( ~ ( ord_le994826475et_val @ SX0 @ SX1 )
| ( ord_less_eq_set_val @ ( SX0 @ SX2 ) @ ( SX1 @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[519]) ).
thf(680,plain,
( ( ! [SX0: set_val,SX1: set_val] :
( ~ ( ord_less_eq_set_val @ SX0 @ SX1 )
| ( ord_less_set_val @ SX0 @ SX1 )
| ( SX0 = SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[581]) ).
thf(681,plain,
( ( ! [SX0: set_val,SX1: set_val,SX2: set_val] :
( ~ ( ord_less_eq_set_val @ SX0 @ SX1 )
| ~ ( ord_less_set_val @ SX1 @ SX2 )
| ( ord_less_set_val @ SX0 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[579]) ).
thf(682,plain,
( ( ! [SX0: set_val,SX1: set_val] :
( ~ ( ord_less_eq_set_val @ SX0 @ SX1 )
| ( ( ord_less_eq_set_val @ SX1 @ SX0 )
= ( SX1 = SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[548]) ).
thf(683,plain,
( ( ! [SX0: set_val,SX1: set_val] :
( ~ ( ord_less_eq_set_val @ ( uminus1961393973et_val @ SX0 ) @ SX1 )
| ( ord_less_eq_set_val @ ( uminus1961393973et_val @ SX1 ) @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[604]) ).
thf(684,plain,
( ( ! [SX0: set_val > set_val,SX1: set_val,SX2: set_val] :
( ~ ( order_1719375026et_val @ SX0 )
| ~ ( ord_less_eq_set_val @ SX1 @ SX2 )
| ( ord_less_eq_set_val @ ( SX0 @ SX2 ) @ ( SX0 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[557]) ).
thf(685,plain,
( ( ! [SX0: set_val,SX1: set_val] :
( ~ ( ord_less_eq_set_val @ SX0 @ ( uminus1961393973et_val @ SX1 ) )
| ( ord_less_eq_set_val @ SX1 @ ( uminus1961393973et_val @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[603]) ).
thf(686,plain,
( ( ! [SX0: set_val,SX1: set_val,SX2: set_val] :
( ~ ( ord_less_set_val @ SX0 @ SX1 )
| ~ ( ord_less_eq_set_val @ SX1 @ SX2 )
| ( ord_less_set_val @ SX0 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[597]) ).
thf(687,plain,
( ( ! [SX0: set_val,SX1: set_val,SX2: set_val,SX3: set_val] :
( ( ( set_or1554624499et_val @ SX0 @ SX1 )
= ( set_or1554624499et_val @ SX2 @ SX3 ) )
= ( ~ ( ( SX0 != SX2 )
| ( SX1 != SX3 ) )
| ~ ( ~ ~ ( ord_less_eq_set_val @ SX0 @ SX1 )
| ~ ~ ( ord_less_eq_set_val @ SX2 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[567]) ).
thf(688,plain,
( ( ! [SX0: set_val,SX1: set_val,SX2: set_val] :
( ~ ( ord_less_eq_set_val @ SX0 @ SX1 )
| ~ ( ord_less_eq_set_val @ SX1 @ SX2 )
| ( ord_less_eq_set_val @ SX0 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[516]) ).
thf(689,plain,
( ( ord_less_set_val
= ( ^ [SX0: set_val,SX1: set_val] :
~ ( ~ ( ord_less_eq_set_val @ SX0 @ SX1 )
| ~ ( ( SX0 != SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[586]) ).
thf(690,plain,
( ( ! [SX0: set_val,SX1: val > set_val,SX2: val,SX3: val] :
( ( SX0
!= ( SX1 @ SX2 ) )
| ~ ( ord_less_eq_val @ SX2 @ SX3 )
| ~ ! [SX4: val,SX5: val] :
( ~ ( ord_less_eq_val @ SX4 @ SX5 )
| ( ord_less_eq_set_val @ ( SX1 @ SX4 ) @ ( SX1 @ SX5 ) ) )
| ( ord_less_eq_set_val @ SX0 @ ( SX1 @ SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[536]) ).
thf(691,plain,
( ( ! [SX0: set_val,SX1: set_val,SX2: set_val] :
( ~ ( ord_less_set_val @ SX0 @ SX1 )
| ~ ( ord_less_eq_set_val @ SX1 @ SX2 )
| ( ord_less_set_val @ SX0 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[584]) ).
thf(692,plain,
( ( ! [SX0: set_val,SX1: set_val] :
( ~ ( ord_less_eq_set_val @ SX0 @ SX1 )
| ~ ( ( SX0 != SX1 ) )
| ( ord_less_set_val @ SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[575]) ).
thf(693,plain,
( ( ! [SX0: set_val,SX1: set_val,SX2: set_val] :
( ~ ( ord_less_eq_set_val @ SX0 @ SX1 )
| ( ord_less_eq_set_val @ SX0 @ ( sup_sup_set_val @ SX1 @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[609]) ).
thf(694,plain,
( ( ord_less_set_val
= ( ^ [SX0: set_val,SX1: set_val] :
~ ( ~ ( ord_less_eq_set_val @ SX0 @ SX1 )
| ~ ~ ( ord_less_eq_set_val @ SX1 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[582]) ).
thf(695,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)],[500]) ).
thf(696,plain,
( ( ! [SX0: set_val,SX1: set_val] :
( ~ ( ord_less_eq_set_val @ SX0 @ SX1 )
| ~ ( ( SX0 != SX1 ) )
| ( ord_less_set_val @ SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[566]) ).
thf(697,plain,
( ( ! [SX0: set_val,SX1: set_set_val > set_val,SX2: set_set_val,SX3: set_set_val] :
( ~ ( ord_less_eq_set_val @ SX0 @ ( SX1 @ SX2 ) )
| ~ ( ord_le1742111550et_val @ SX2 @ SX3 )
| ~ ! [SX4: set_set_val,SX5: set_set_val] :
( ~ ( ord_le1742111550et_val @ SX4 @ SX5 )
| ( ord_less_eq_set_val @ ( SX1 @ SX4 ) @ ( SX1 @ SX5 ) ) )
| ( ord_less_eq_set_val @ SX0 @ ( SX1 @ SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[526]) ).
thf(698,plain,
( ( ! [SX0: set_val,SX1: set_val,SX2: set_val] :
( ~ ( ord_less_eq_set_val @ ( sup_sup_set_val @ SX0 @ SX1 ) @ SX2 )
| ~ ( ~ ( ord_less_eq_set_val @ SX0 @ SX2 )
| ~ ( ord_less_eq_set_val @ SX1 @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[616]) ).
thf(699,plain,
( ( ! [SX0: set_val,SX1: set_val > set_val,SX2: set_val,SX3: set_val] :
( ~ ( ord_less_set_val @ SX0 @ ( SX1 @ SX2 ) )
| ~ ( ord_less_eq_set_val @ SX2 @ SX3 )
| ~ ! [SX4: set_val,SX5: set_val] :
( ~ ( ord_less_eq_set_val @ SX4 @ SX5 )
| ( ord_less_eq_set_val @ ( SX1 @ SX4 ) @ ( SX1 @ SX5 ) ) )
| ( ord_less_set_val @ SX0 @ ( SX1 @ SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[574]) ).
thf(700,plain,
( ( ! [SX0: set_val,SX1: set_val] :
( ~ ~ ( ord_less_set_val @ SX0 @ SX1 )
| ( ( ord_less_eq_set_val @ SX0 @ SX1 )
= ( SX0 = SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[576]) ).
thf(701,plain,
( ( ! [SX0: set_val,SX1: set_val,SX2: set_val] :
( ~ ( ord_less_eq_set_val @ SX0 @ SX1 )
| ~ ( ord_less_eq_set_val @ SX2 @ SX0 )
| ( ord_less_eq_set_val @ SX2 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[514]) ).
thf(702,plain,
( ( ! [SX0: set_val,SX1: set_val] :
( ( SX0 != SX1 )
| ( ord_less_eq_set_val @ SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[503]) ).
thf(703,plain,
( ( ! [SX0: set_val,SX1: set_val] :
( ~ ( ord_less_eq_set_val @ SX0 @ SX1 )
| ~ ( ord_less_eq_set_val @ SX1 @ SX0 )
| ( SX0 = SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[545]) ).
thf(704,plain,
( ( ! [SX0: set_val > set_val,SX1: set_val > set_val,SX2: set_val] :
( ~ ( refine1929691018et_val @ SX0 @ SX1 )
| ( ord_less_eq_set_val @ SX2 @ ( SX1 @ ( SX0 @ SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[561]) ).
thf(705,plain,
( ( ( ^ [SX0: set_val,SX1: set_val] : ( SX0 = SX1 ) )
= ( ^ [SX0: set_val,SX1: set_val] :
~ ( ~ ( ord_less_eq_set_val @ SX1 @ SX0 )
| ~ ( ord_less_eq_set_val @ SX0 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[513]) ).
thf(706,plain,
( ( ! [SX0: $o,SX1: set_val,SX2: set_val,SX3: set_val,SX4: set_val] :
( ~ ( ~ SX0
| ( ord_less_eq_set_val @ SX1 @ SX2 ) )
| ~ ( ~ ~ SX0
| ( ord_less_eq_set_val @ SX3 @ SX4 ) )
| ( ord_less_eq_set_val @ ( if_set_val @ SX0 @ SX1 @ SX3 ) @ ( if_set_val @ SX0 @ SX2 @ SX4 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[553]) ).
thf(707,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)],[502]) ).
thf(708,plain,
( ( ! [SX0: set_val,SX1: set_val > set_val,SX2: set_val,SX3: set_val] :
( ~ ( ord_less_eq_set_val @ SX0 @ ( SX1 @ SX2 ) )
| ~ ( ord_less_eq_set_val @ SX2 @ SX3 )
| ~ ! [SX4: set_val,SX5: set_val] :
( ~ ( ord_less_eq_set_val @ SX4 @ SX5 )
| ( ord_less_eq_set_val @ ( SX1 @ SX4 ) @ ( SX1 @ SX5 ) ) )
| ( ord_less_eq_set_val @ SX0 @ ( SX1 @ SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[523]) ).
thf(709,plain,
( ( ! [SX0: set_val,SX1: set_val] :
( ~ ( ord_less_eq_set_val @ SX0 @ SX1 )
| ( ord_less_eq_set_val @ ( uminus1961393973et_val @ SX1 ) @ ( uminus1961393973et_val @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[568]) ).
thf(710,plain,
( ( ! [SX0: set_val,SX1: set_val] :
( ~ ( ord_less_eq_set_val @ SX0 @ SX1 )
| ~ ( ord_less_eq_set_val @ SX1 @ SX0 )
| ( SX1 = SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[512]) ).
thf(711,plain,
( ( ! [SX0: set_val,SX1: set_val] :
( ~ ( ord_less_eq_set_val @ SX0 @ SX1 )
| ~ ( ord_less_eq_set_val @ SX1 @ SX0 )
| ( SX0 = SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[496]) ).
thf(712,plain,
( ( ! [SX0: set_val,SX1: set_val] :
( ~ ( ord_less_eq_set_val @ SX0 @ SX1 )
| ~ ( ord_less_set_val @ SX1 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[570]) ).
thf(713,plain,
( ( order_1719375026et_val
= ( ^ [SX0: set_val > set_val] :
! [SX1: set_val,SX2: set_val] :
( ~ ( ord_less_eq_set_val @ SX1 @ SX2 )
| ( ord_less_eq_set_val @ ( SX0 @ SX2 ) @ ( SX0 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[558]) ).
thf(714,plain,
( ( ! [SX0: set_val,SX1: set_val] :
( ~ ( ord_less_set_val @ SX0 @ SX1 )
| ( ord_less_eq_set_val @ SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[592]) ).
thf(715,plain,
( ( ! [SX0: val,SX1: set_val > val,SX2: set_val,SX3: set_val] :
( ( SX0
!= ( SX1 @ SX2 ) )
| ~ ( ord_less_eq_set_val @ SX2 @ SX3 )
| ~ ! [SX4: set_val,SX5: set_val] :
( ~ ( ord_less_eq_set_val @ SX4 @ SX5 )
| ( ord_less_eq_val @ ( SX1 @ SX4 ) @ ( SX1 @ SX5 ) ) )
| ( ord_less_eq_val @ SX0 @ ( SX1 @ SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[535]) ).
thf(716,plain,
( ( ! [SX0: set_val,SX1: set_val,SX2: set_val > val,SX3: val] :
( ~ ( ord_less_eq_set_val @ SX0 @ SX1 )
| ~ ( ord_less_eq_val @ ( SX2 @ SX1 ) @ SX3 )
| ~ ! [SX4: set_val,SX5: set_val] :
( ~ ( ord_less_eq_set_val @ SX4 @ SX5 )
| ( ord_less_eq_val @ ( SX2 @ SX4 ) @ ( SX2 @ SX5 ) ) )
| ( ord_less_eq_val @ ( SX2 @ SX0 ) @ SX3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[529]) ).
thf(717,plain,
( ( ! [SX0: set_set_val,SX1: set_set_val,SX2: set_set_val > set_val,SX3: set_val] :
( ~ ( ord_le1742111550et_val @ SX0 @ SX1 )
| ( ( SX2 @ SX1 )
!= SX3 )
| ~ ! [SX4: set_set_val,SX5: set_set_val] :
( ~ ( ord_le1742111550et_val @ SX4 @ SX5 )
| ( ord_less_eq_set_val @ ( SX2 @ SX4 ) @ ( SX2 @ SX5 ) ) )
| ( ord_less_eq_set_val @ ( SX2 @ SX0 ) @ SX3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[543]) ).
thf(718,plain,
( ( ! [SX0: set_val > set_val,SX1: set_val,SX2: set_val] :
( ~ ( order_1719375026et_val @ SX0 )
| ~ ( ord_less_eq_set_val @ SX1 @ SX2 )
| ( ord_less_eq_set_val @ ( SX0 @ SX2 ) @ ( SX0 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[556]) ).
thf(719,plain,
( ( ! [SX0: $o,SX1: set_val,SX2: set_val,SX3: set_val] :
( ~ ( ~ SX0
| ( ord_less_eq_set_val @ SX1 @ SX2 ) )
| ~ ( ~ ~ SX0
| ( ord_less_eq_set_val @ SX3 @ SX2 ) )
| ( ord_less_eq_set_val @ ( if_set_val @ SX0 @ SX1 @ SX3 ) @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[554]) ).
thf(720,plain,
( ( ! [SX0: set_val,SX1: set_val > set_val,SX2: set_val,SX3: set_val] :
( ( SX0
!= ( SX1 @ SX2 ) )
| ~ ( ord_less_eq_set_val @ SX2 @ SX3 )
| ~ ! [SX4: set_val,SX5: set_val] :
( ~ ( ord_less_eq_set_val @ SX4 @ SX5 )
| ( ord_less_eq_set_val @ ( SX1 @ SX4 ) @ ( SX1 @ SX5 ) ) )
| ( ord_less_eq_set_val @ SX0 @ ( SX1 @ SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[534]) ).
thf(721,plain,
( ( ! [SX0: set_val,SX1: set_val] :
( ~ ( ord_less_set_val @ SX0 @ SX1 )
| ( ord_less_eq_set_val @ SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[578]) ).
thf(722,plain,
( ( ! [SX0: set_val > $o,SX1: set_val,SX2: set_val > $o] :
( ~ ( SX0 @ SX1 )
| ~ ! [SX3: set_val] :
( ~ ( SX0 @ SX3 )
| ( ord_less_eq_set_val @ SX3 @ SX1 ) )
| ~ ! [SX3: set_val] :
( ~ ( SX0 @ SX3 )
| ~ ! [SX4: set_val] :
( ~ ( SX0 @ SX4 )
| ( ord_less_eq_set_val @ SX4 @ SX3 ) )
| ( SX2 @ SX3 ) )
| ( SX2 @ ( order_1960465943et_val @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[551]) ).
thf(723,plain,
( ( ord_less_set_val
= ( ^ [SX0: set_val,SX1: set_val] :
~ ( ~ ( ord_less_eq_set_val @ SX0 @ SX1 )
| ~ ( ( SX1 != SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[591]) ).
thf(724,plain,
( ( ! [SX0: set_val,SX1: set_val,SX2: set_val] :
( ( ord_less_eq_set_val @ ( sup_sup_set_val @ SX0 @ SX1 ) @ SX2 )
= ( ~ ( ~ ( ord_less_eq_set_val @ SX0 @ SX2 )
| ~ ( ord_less_eq_set_val @ SX1 @ SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[605]) ).
thf(725,plain,
( ( ! [SX0: set_val > set_val,SX1: set_val > set_val] :
( ~ ! [SX2: set_val,SX3: set_val] :
( ( ord_less_eq_set_val @ SX2 @ ( SX0 @ SX3 ) )
= ( ord_less_eq_set_val @ ( SX1 @ SX2 ) @ SX3 ) )
| ( refine1929691018et_val @ SX1 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[564]) ).
thf(726,plain,
( ( ! [SX0: set_val,SX1: set_val] :
( ~ ( ord_less_set_val @ SX0 @ SX1 )
| ( ord_less_eq_set_val @ SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[596]) ).
thf(727,plain,
( ( ! [SX0: set_val,SX1: set_val] :
( ~ ( ord_less_eq_set_val @ SX0 @ SX1 )
| ( ( sup_sup_set_val @ SX0 @ SX1 )
= SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[617]) ).
thf(728,plain,
( ( ! [SX0: set_val,SX1: set_val,SX2: set_val] :
( ~ ( ord_less_set_val @ SX0 @ SX1 )
| ~ ( ord_less_eq_set_val @ SX1 @ SX2 )
| ( ord_less_set_val @ SX0 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[580]) ).
thf(729,plain,
( ( ! [SX0: set_val > set_val,SX1: set_val > set_val,SX2: set_val] :
( ~ ( refine1929691018et_val @ SX0 @ SX1 )
| ( ord_less_eq_set_val @ ( SX0 @ ( SX1 @ SX2 ) ) @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[562]) ).
thf(730,plain,
( ( ! [SX0: set_val,SX1: set_val,SX2: set_val] :
( ( SX0 != SX1 )
| ~ ( ord_less_eq_set_val @ SX1 @ SX2 )
| ( ord_less_eq_set_val @ SX0 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[550]) ).
thf(731,plain,
( ( ! [SX0: set_val,SX1: set_val] :
( ~ ( ord_less_eq_set_val @ SX0 @ SX1 )
| ( ( sup_sup_set_val @ SX0 @ SX1 )
= SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[619]) ).
thf(732,plain,
( ( ! [SX0: set_val > set_val,SX1: set_val > set_val,SX2: set_val,SX3: set_val] :
( ~ ( refine1929691018et_val @ SX0 @ SX1 )
| ( ( ord_less_eq_set_val @ SX2 @ ( SX1 @ SX3 ) )
= ( ord_less_eq_set_val @ ( SX0 @ SX2 ) @ SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[563]) ).
thf(733,plain,
( ( ! [SX0: $o > set_val,SX1: $o > set_val] :
( ~ ! [SX2: $o] : ( ord_less_eq_set_val @ ( SX0 @ SX2 ) @ ( SX1 @ SX2 ) )
| ( ord_le994826475et_val @ SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[521]) ).
thf(734,plain,
( ( ! [SX0: set_val,SX1: set_val] :
( ( SX0
!= ( sup_sup_set_val @ SX0 @ SX1 ) )
| ( ord_less_eq_set_val @ SX1 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[622]) ).
thf(735,plain,
( ( ! [SX0: set_val > set_val] :
( ~ ! [SX1: set_val,SX2: set_val] :
( ~ ( ord_less_eq_set_val @ SX1 @ SX2 )
| ( ord_less_eq_set_val @ ( SX0 @ SX2 ) @ ( SX0 @ SX1 ) ) )
| ( order_1719375026et_val @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[559]) ).
thf(736,plain,
( ( ! [SX0: set_val,SX1: set_val,SX2: set_val] :
( ~ ( ord_less_set_val @ SX0 @ SX1 )
| ~ ( ord_less_eq_set_val @ SX2 @ SX0 )
| ( ord_less_set_val @ SX2 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[588]) ).
thf(737,plain,
! [SV1: set_val] :
( ( ord_less_eq_set_val @ SV1 @ SV1 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[497]) ).
thf(738,plain,
! [SV2: set_val] :
( ( ord_less_eq_set_val @ SV2 @ SV2 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[506]) ).
thf(739,plain,
! [SV3: set_val] :
( ( ord_less_eq_set_val @ SV3 @ SV3 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[515]) ).
thf(740,plain,
( ( ! [SV4: $o > set_val] :
( ( ord_le994826475et_val @ SV4 )
= ( ^ [SY418: $o > set_val] :
! [SY419: $o] : ( ord_less_eq_set_val @ ( SV4 @ SY419 ) @ ( SY418 @ SY419 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[522]) ).
thf(741,plain,
( ( ord_le994826475et_val
= ( ^ [F2: $o > set_val,G2: $o > set_val] :
! [X3: $o] : ( ord_less_eq_set_val @ ( F2 @ X3 ) @ ( G2 @ X3 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[522]) ).
thf(742,plain,
( ( ! [SV5: set_val > set_val] :
( ( refine1929691018et_val @ SV5 )
= ( ^ [SY420: set_val > set_val] :
! [SY421: set_val,SY422: set_val] :
( ( ord_less_eq_set_val @ SY421 @ ( SY420 @ SY422 ) )
= ( ord_less_eq_set_val @ ( SV5 @ SY421 ) @ SY422 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[565]) ).
thf(743,plain,
( ( refine1929691018et_val
= ( ^ [Alpha2: set_val > set_val,Gamma2: set_val > set_val] :
! [C4: set_val,A4: set_val] :
( ( ord_less_eq_set_val @ C4 @ ( Gamma2 @ A4 ) )
= ( ord_less_eq_set_val @ ( Alpha2 @ C4 ) @ A4 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[565]) ).
thf(744,plain,
! [SV6: set_val] :
( ( ! [SY423: set_val] :
( ( ord_less_eq_set_val @ ( uminus1961393973et_val @ SV6 ) @ ( uminus1961393973et_val @ SY423 ) )
= ( ord_less_eq_set_val @ SY423 @ SV6 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[569]) ).
thf(745,plain,
( ( ! [SV7: set_val] :
( ( ord_less_eq_set_val @ SV7 )
= ( ^ [SY424: set_val] :
( ( ord_less_set_val @ SV7 @ SY424 )
| ( SV7 = SY424 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[571]) ).
thf(746,plain,
( ( ord_less_eq_set_val
= ( ^ [X3: set_val,Y4: set_val] :
( ( ord_less_set_val @ X3 @ Y4 )
| ( X3 = Y4 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[571]) ).
thf(747,plain,
( ( ! [SV8: set_val] :
( ( ord_less_eq_set_val @ SV8 )
= ( ^ [SY425: set_val] :
( ( ord_less_set_val @ SV8 @ SY425 )
| ( SV8 = SY425 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[585]) ).
thf(748,plain,
( ( ord_less_eq_set_val
= ( ^ [A4: set_val,B4: set_val] :
( ( ord_less_set_val @ A4 @ B4 )
| ( A4 = B4 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[585]) ).
thf(749,plain,
( ( ! [SV9: set_val] :
( ( ord_less_eq_set_val @ SV9 )
= ( ^ [SY426: set_val] :
( ( ord_less_set_val @ SV9 @ SY426 )
| ( SY426 = SV9 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[590]) ).
thf(750,plain,
( ( ord_less_eq_set_val
= ( ^ [B4: set_val,A4: set_val] :
( ( ord_less_set_val @ B4 @ A4 )
| ( A4 = B4 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[590]) ).
thf(751,plain,
( ( ! [SV10: set_val] :
( ( ord_less_eq_set_val @ SV10 )
= ( ^ [SY427: set_val] :
( ( ord_less_set_val @ SV10 @ SY427 )
| ( SV10 = SY427 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[600]) ).
thf(752,plain,
( ( ord_less_eq_set_val
= ( ^ [A2: set_val,B2: set_val] :
( ( ord_less_set_val @ A2 @ B2 )
| ( A2 = B2 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[600]) ).
thf(753,plain,
! [SV11: set_val] :
( ( ! [SY428: set_val] :
( ( ord_less_eq_set_val @ ( uminus1961393973et_val @ SV11 ) @ ( uminus1961393973et_val @ SY428 ) )
= ( ord_less_eq_set_val @ SY428 @ SV11 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[601]) ).
thf(754,plain,
( ( ! [SV12: set_val] :
( ( ord_less_eq_set_val @ SV12 )
= ( ^ [SY429: set_val] :
( ( sup_sup_set_val @ SV12 @ SY429 )
= SY429 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[610]) ).
thf(755,plain,
( ( ord_less_eq_set_val
= ( ^ [A4: set_val,B4: set_val] :
( ( sup_sup_set_val @ A4 @ B4 )
= B4 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[610]) ).
thf(756,plain,
( ( ! [SV13: set_val] :
( ( ord_less_eq_set_val @ SV13 )
= ( ^ [SY430: set_val] :
( ( sup_sup_set_val @ SY430 @ SV13 )
= SY430 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[611]) ).
thf(757,plain,
( ( ord_less_eq_set_val
= ( ^ [B4: set_val,A4: set_val] :
( ( sup_sup_set_val @ A4 @ B4 )
= A4 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[611]) ).
thf(758,plain,
! [SV14: set_val] :
( ( ! [SY431: set_val] : ( ord_less_eq_set_val @ SV14 @ ( sup_sup_set_val @ SY431 @ SV14 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[612]) ).
thf(759,plain,
! [SV15: set_val] :
( ( ! [SY432: set_val] : ( ord_less_eq_set_val @ SV15 @ ( sup_sup_set_val @ SV15 @ SY432 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[613]) ).
thf(760,plain,
( ( ! [SV16: set_val] :
( ( ord_less_eq_set_val @ SV16 )
= ( ^ [SY433: set_val] :
( SY433
= ( sup_sup_set_val @ SY433 @ SV16 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[614]) ).
thf(761,plain,
( ( ord_less_eq_set_val
= ( ^ [B4: set_val,A4: set_val] :
( A4
= ( sup_sup_set_val @ A4 @ B4 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[614]) ).
thf(762,plain,
! [SV17: $o] :
( ( ( SV17 = $true )
| ( SV17 = $false ) )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[623]) ).
thf(763,plain,
( ( ( $true = $true )
| ( $true = $false ) )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[623]) ).
thf(764,plain,
( ( ( $false = $true )
| ( $false = $false ) )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[623]) ).
thf(765,plain,
( ( ord_less_eq_set_val @ scc @ p )
= $false ),
inference(extcnf_not_pos,[status(thm)],[624]) ).
thf(766,plain,
! [SV18: set_val] :
( ( ! [SY434: set_val] :
( ~ ( ord_less_eq_set_val @ SV18 @ SY434 )
| ( ( sup_sup_set_val @ SY434 @ SV18 )
= SY434 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[625]) ).
thf(767,plain,
! [SV19: set_val > set_val > set_val] :
( ( ! [SY435: set_val,SY436: set_val] :
( ~ ! [SY437: set_val,SY438: set_val] : ( ord_less_eq_set_val @ SY437 @ ( SV19 @ SY437 @ SY438 ) )
| ~ ! [SY439: set_val,SY440: set_val] : ( ord_less_eq_set_val @ SY440 @ ( SV19 @ SY439 @ SY440 ) )
| ~ ! [SY441: set_val,SY442: set_val,SY443: set_val] :
( ~ ( ord_less_eq_set_val @ SY442 @ SY441 )
| ~ ( ord_less_eq_set_val @ SY443 @ SY441 )
| ( ord_less_eq_set_val @ ( SV19 @ SY442 @ SY443 ) @ SY441 ) )
| ( ( sup_sup_set_val @ SY435 @ SY436 )
= ( SV19 @ SY435 @ SY436 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[626]) ).
thf(768,plain,
! [SV20: set_val] :
( ( ! [SY444: set_val] :
( ~ ( ord_less_set_val @ SV20 @ SY444 )
| ~ ( ~ ( ord_less_eq_set_val @ SV20 @ SY444 )
| ( ord_less_eq_set_val @ SY444 @ SV20 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[627]) ).
thf(769,plain,
! [SV21: set_val] :
( ( ! [SY445: set_val,SY446: set_val] :
( ~ ( ord_less_eq_set_val @ SV21 @ SY445 )
| ~ ( ord_less_eq_set_val @ SY445 @ SY446 )
| ( ord_less_eq_set_val @ SV21 @ SY446 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[628]) ).
thf(770,plain,
! [SV22: set_val] :
( ( ! [SY447: val > set_val,SY448: val,SY449: val] :
( ~ ( ord_less_eq_set_val @ SV22 @ ( SY447 @ SY448 ) )
| ~ ( ord_less_eq_val @ SY448 @ SY449 )
| ~ ! [SX4: val,SX5: val] :
( ~ ( ord_less_eq_val @ SX4 @ SX5 )
| ( ord_less_eq_set_val @ ( SY447 @ SX4 ) @ ( SY447 @ SX5 ) ) )
| ( ord_less_eq_set_val @ SV22 @ ( SY447 @ SY449 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[629]) ).
thf(771,plain,
! [SV23: val] :
( ( ~ ( member_val @ SV23 @ scc )
| ( member_val @ SV23 @ p ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[630]) ).
thf(772,plain,
! [SV24: set_val] :
( ( ! [SY452: set_val,SY453: set_val > set_set_val,SY454: set_set_val] :
( ~ ( ord_less_eq_set_val @ SV24 @ SY452 )
| ~ ( ord_le1742111550et_val @ ( SY453 @ SY452 ) @ SY454 )
| ~ ! [SX4: set_val,SX5: set_val] :
( ~ ( ord_less_eq_set_val @ SX4 @ SX5 )
| ( ord_le1742111550et_val @ ( SY453 @ SX4 ) @ ( SY453 @ SX5 ) ) )
| ( ord_le1742111550et_val @ ( SY453 @ SV24 ) @ SY454 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[631]) ).
thf(773,plain,
( ( ! [SV25: set_val] :
( ( ord_less_set_val @ SV25 )
= ( ^ [SY457: set_val] :
~ ( ~ ( ord_less_eq_set_val @ SV25 @ SY457 )
| ~ ( ( SV25 != SY457 ) ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[632]) ).
thf(774,plain,
( ( ord_less_set_val
= ( ^ [SX0: set_val,SX1: set_val] :
~ ( ~ ( ord_less_eq_set_val @ SX0 @ SX1 )
| ~ ( ( SX0 != SX1 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[632]) ).
thf(775,plain,
( ( ! [SV26: set_val] :
( ( ^ [SY458: set_val] : ( SV26 = SY458 ) )
= ( ^ [SY459: set_val] :
~ ( ~ ( ord_less_eq_set_val @ SV26 @ SY459 )
| ~ ( ord_less_eq_set_val @ SY459 @ SV26 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[633]) ).
thf(776,plain,
( ( ( ^ [SX0: set_val,SX1: set_val] : ( SX0 = SX1 ) )
= ( ^ [SX0: set_val,SX1: set_val] :
~ ( ~ ( ord_less_eq_set_val @ SX0 @ SX1 )
| ~ ( ord_less_eq_set_val @ SX1 @ SX0 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[633]) ).
thf(777,plain,
! [SV27: set_set_val] :
( ( ! [SY460: set_val > set_set_val,SY461: set_val,SY462: set_val] :
( ~ ( ord_le1742111550et_val @ SV27 @ ( SY460 @ SY461 ) )
| ~ ( ord_less_eq_set_val @ SY461 @ SY462 )
| ~ ! [SX4: set_val,SX5: set_val] :
( ~ ( ord_less_eq_set_val @ SX4 @ SX5 )
| ( ord_le1742111550et_val @ ( SY460 @ SX4 ) @ ( SY460 @ SX5 ) ) )
| ( ord_le1742111550et_val @ SV27 @ ( SY460 @ SY462 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[634]) ).
thf(778,plain,
( ( ! [SV28: set_val] :
( ( ord_less_set_val @ SV28 )
= ( ^ [SY465: set_val] :
~ ( ~ ( ord_less_eq_set_val @ SV28 @ SY465 )
| ~ ~ ( ord_less_eq_set_val @ SY465 @ SV28 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[635]) ).
thf(779,plain,
( ( ord_less_set_val
= ( ^ [SX0: set_val,SX1: set_val] :
~ ( ~ ( ord_less_eq_set_val @ SX0 @ SX1 )
| ~ ~ ( ord_less_eq_set_val @ SX1 @ SX0 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[635]) ).
thf(780,plain,
( ( ! [SV29: set_val] :
( ( ord_less_set_val @ SV29 )
= ( ^ [SY466: set_val] :
~ ( ~ ( ord_less_eq_set_val @ SV29 @ SY466 )
| ~ ( ( SV29 != SY466 ) ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[636]) ).
thf(781,plain,
( ( ord_less_set_val
= ( ^ [SX0: set_val,SX1: set_val] :
~ ( ~ ( ord_less_eq_set_val @ SX0 @ SX1 )
| ~ ( ( SX0 != SX1 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[636]) ).
thf(782,plain,
! [SV30: set_val] :
( ( ! [SY467: set_val] :
( ~ ( ord_less_eq_set_val @ SV30 @ SY467 )
| ( ( sup_sup_set_val @ SY467 @ SV30 )
= SY467 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[637]) ).
thf(783,plain,
! [SV31: set_val] :
( ( ! [SY468: set_val] :
( ( SV31 != SY468 )
| ~ ( ~ ( ord_less_eq_set_val @ SV31 @ SY468 )
| ~ ( ord_less_eq_set_val @ SY468 @ SV31 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[638]) ).
thf(784,plain,
! [SV32: set_val] :
( ( ! [SY469: set_val,SY470: set_val] :
( ( ord_less_eq_set_val @ ( sup_sup_set_val @ SV32 @ SY469 ) @ SY470 )
= ( ~ ( ~ ( ord_less_eq_set_val @ SV32 @ SY470 )
| ~ ( ord_less_eq_set_val @ SY469 @ SY470 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[639]) ).
thf(785,plain,
! [SV33: val] :
( ( ! [SY471: set_val > val,SY472: set_val,SY473: set_val] :
( ~ ( ord_less_eq_val @ SV33 @ ( SY471 @ SY472 ) )
| ~ ( ord_less_eq_set_val @ SY472 @ SY473 )
| ~ ! [SX4: set_val,SX5: set_val] :
( ~ ( ord_less_eq_set_val @ SX4 @ SX5 )
| ( ord_less_eq_val @ ( SY471 @ SX4 ) @ ( SY471 @ SX5 ) ) )
| ( ord_less_eq_val @ SV33 @ ( SY471 @ SY473 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[640]) ).
thf(786,plain,
! [SV34: set_val] :
( ( ! [SY476: set_val] :
( ( SV34 != SY476 )
| ( ord_less_eq_set_val @ SV34 @ SY476 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[641]) ).
thf(787,plain,
! [SV35: set_val] :
( ( ! [SY477: set_val,SY478: set_val] :
( ( ord_less_eq_set_val @ ( sup_sup_set_val @ SV35 @ SY477 ) @ SY478 )
= ( ~ ( ~ ( ord_less_eq_set_val @ SV35 @ SY478 )
| ~ ( ord_less_eq_set_val @ SY477 @ SY478 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[642]) ).
thf(788,plain,
! [SV36: set_val] :
( ( ! [SY479: set_val,SY480: set_val > set_set_val,SY481: set_set_val] :
( ~ ( ord_less_eq_set_val @ SV36 @ SY479 )
| ( ( SY480 @ SY479 )
!= SY481 )
| ~ ! [SX4: set_val,SX5: set_val] :
( ~ ( ord_less_eq_set_val @ SX4 @ SX5 )
| ( ord_le1742111550et_val @ ( SY480 @ SX4 ) @ ( SY480 @ SX5 ) ) )
| ( ord_le1742111550et_val @ ( SY480 @ SV36 ) @ SY481 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[643]) ).
thf(789,plain,
! [SV37: set_val] :
( ( ! [SY484: set_val] :
( ~ ( ord_less_eq_set_val @ SV37 @ SY484 )
| ( ord_less_eq_set_val @ ( uminus1961393973et_val @ SY484 ) @ ( uminus1961393973et_val @ SV37 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[644]) ).
thf(790,plain,
! [SV38: val] :
( ( ! [SY485: val,SY486: val > set_val,SY487: set_val] :
( ~ ( ord_less_eq_val @ SV38 @ SY485 )
| ( ( SY486 @ SY485 )
!= SY487 )
| ~ ! [SX4: val,SX5: val] :
( ~ ( ord_less_eq_val @ SX4 @ SX5 )
| ( ord_less_eq_set_val @ ( SY486 @ SX4 ) @ ( SY486 @ SX5 ) ) )
| ( ord_less_eq_set_val @ ( SY486 @ SV38 ) @ SY487 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[645]) ).
thf(791,plain,
! [SV39: set_val] :
( ( ! [SY490: set_val,SY491: set_val] :
( ~ ( ord_less_eq_set_val @ SV39 @ SY490 )
| ( ord_less_eq_set_val @ SV39 @ ( sup_sup_set_val @ SY491 @ SY490 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[646]) ).
thf(792,plain,
! [SV40: set_val] :
( ( ! [SY492: set_val] :
( ( SV40 != SY492 )
| ( ord_less_eq_set_val @ SY492 @ SV40 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[647]) ).
thf(793,plain,
! [SV41: $o > set_val] :
( ( ! [SY493: $o > set_val,SY494: $o] :
( ~ ( ord_le994826475et_val @ SV41 @ SY493 )
| ( ord_less_eq_set_val @ ( SV41 @ SY494 ) @ ( SY493 @ SY494 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[648]) ).
thf(794,plain,
! [SV42: set_val] :
( ( ! [SY495: set_val,SY496: set_val > set_val,SY497: set_val] :
( ~ ( ord_less_eq_set_val @ SV42 @ SY495 )
| ~ ( ord_less_eq_set_val @ ( SY496 @ SY495 ) @ SY497 )
| ~ ! [SX4: set_val,SX5: set_val] :
( ~ ( ord_less_eq_set_val @ SX4 @ SX5 )
| ( ord_less_eq_set_val @ ( SY496 @ SX4 ) @ ( SY496 @ SX5 ) ) )
| ( ord_less_eq_set_val @ ( SY496 @ SV42 ) @ SY497 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[649]) ).
thf(795,plain,
( ( ! [SV43: set_val] :
( ( ^ [SY500: set_val] : ( SV43 = SY500 ) )
= ( ^ [SY501: set_val] :
~ ( ~ ( ord_less_eq_set_val @ SV43 @ SY501 )
| ~ ( ord_less_eq_set_val @ SY501 @ SV43 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[650]) ).
thf(796,plain,
( ( ( ^ [SX0: set_val,SX1: set_val] : ( SX0 = SX1 ) )
= ( ^ [SX0: set_val,SX1: set_val] :
~ ( ~ ( ord_less_eq_set_val @ SX0 @ SX1 )
| ~ ( ord_less_eq_set_val @ SX1 @ SX0 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[650]) ).
thf(797,plain,
! [SV44: val > $o] :
( ( ! [SY502: val > $o] :
( ( ord_less_eq_set_val @ ( collect_val @ SV44 ) @ ( collect_val @ SY502 ) )
= ( ! [SY503: val] :
( ~ ( SV44 @ SY503 )
| ( SY502 @ SY503 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[651]) ).
thf(798,plain,
! [SV45: set_set_val] :
( ( ! [SY504: set_val > set_set_val,SY505: set_val,SY506: set_val] :
( ( SV45
!= ( SY504 @ SY505 ) )
| ~ ( ord_less_eq_set_val @ SY505 @ SY506 )
| ~ ! [SX4: set_val,SX5: set_val] :
( ~ ( ord_less_eq_set_val @ SX4 @ SX5 )
| ( ord_le1742111550et_val @ ( SY504 @ SX4 ) @ ( SY504 @ SX5 ) ) )
| ( ord_le1742111550et_val @ SV45 @ ( SY504 @ SY506 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[652]) ).
thf(799,plain,
! [SV46: set_set_val] :
( ( ! [SY509: set_set_val,SY510: set_set_val > set_val,SY511: set_val] :
( ~ ( ord_le1742111550et_val @ SV46 @ SY509 )
| ~ ( ord_less_eq_set_val @ ( SY510 @ SY509 ) @ SY511 )
| ~ ! [SX4: set_set_val,SX5: set_set_val] :
( ~ ( ord_le1742111550et_val @ SX4 @ SX5 )
| ( ord_less_eq_set_val @ ( SY510 @ SX4 ) @ ( SY510 @ SX5 ) ) )
| ( ord_less_eq_set_val @ ( SY510 @ SV46 ) @ SY511 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[653]) ).
thf(800,plain,
! [SV47: set_val] :
( ( ! [SY514: set_val] :
( ~ ( ord_less_set_val @ SV47 @ SY514 )
| ( ord_less_eq_set_val @ SV47 @ SY514 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[654]) ).
thf(801,plain,
! [SV48: set_val] :
( ( ! [SY515: set_val,SY516: set_val,SY517: set_val] :
( ( SV48 != SY515 )
| ~ ( ord_less_eq_set_val @ SY515 @ SY516 )
| ( SY516 != SY517 )
| ( ord_less_eq_set_val @ SV48 @ SY517 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[655]) ).
thf(802,plain,
! [SV49: set_val] :
( ( ! [SY518: set_set_val > set_val,SY519: set_set_val,SY520: set_set_val] :
( ( SV49
!= ( SY518 @ SY519 ) )
| ~ ( ord_le1742111550et_val @ SY519 @ SY520 )
| ~ ! [SX4: set_set_val,SX5: set_set_val] :
( ~ ( ord_le1742111550et_val @ SX4 @ SX5 )
| ( ord_less_eq_set_val @ ( SY518 @ SX4 ) @ ( SY518 @ SX5 ) ) )
| ( ord_less_eq_set_val @ SV49 @ ( SY518 @ SY520 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[656]) ).
thf(803,plain,
! [SV50: set_val] :
( ( ! [SY523: set_val,SY524: set_val] :
( ~ ( ord_less_eq_set_val @ SV50 @ SY523 )
| ~ ( ord_less_eq_set_val @ SY523 @ SY524 )
| ( ord_less_eq_set_val @ SV50 @ SY524 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[657]) ).
thf(804,plain,
( ( ! [SV51: set_val] :
( ( ord_less_eq_set_val @ SV51 )
= ( ^ [SY525: set_val] :
! [SY526: val] :
( ~ ( member_val @ SY526 @ SV51 )
| ( member_val @ SY526 @ SY525 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[658]) ).
thf(805,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)],[658]) ).
thf(806,plain,
! [SV52: set_val] :
( ( ! [SY527: set_val] :
( ~ ! [SY528: val] :
( ~ ( member_val @ SY528 @ SV52 )
| ( member_val @ SY528 @ SY527 ) )
| ( ord_less_eq_set_val @ SV52 @ SY527 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[659]) ).
thf(807,plain,
! [SV53: val] :
( ( ! [SY529: val,SY530: val > set_val,SY531: set_val] :
( ~ ( ord_less_eq_val @ SV53 @ SY529 )
| ~ ( ord_less_eq_set_val @ ( SY530 @ SY529 ) @ SY531 )
| ~ ! [SX4: val,SX5: val] :
( ~ ( ord_less_eq_val @ SX4 @ SX5 )
| ( ord_less_eq_set_val @ ( SY530 @ SX4 ) @ ( SY530 @ SX5 ) ) )
| ( ord_less_eq_set_val @ ( SY530 @ SV53 ) @ SY531 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[660]) ).
thf(808,plain,
! [SV54: set_val] :
( ( ! [SY534: set_val,SY535: set_val] :
( ~ ( ord_less_eq_set_val @ SV54 @ SY534 )
| ~ ( ord_less_set_val @ SY534 @ SY535 )
| ( ord_less_set_val @ SV54 @ SY535 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[661]) ).
thf(809,plain,
! [SV55: set_val] :
( ( ! [SY536: set_val] :
( ~ ( ord_less_eq_set_val @ SV55 @ SY536 )
| ~ ( ord_less_eq_set_val @ SY536 @ SV55 )
| ( SV55 = SY536 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[662]) ).
thf(810,plain,
! [SV56: set_val] :
( ( ! [SY537: set_val,SY538: set_val] :
( ~ ( ord_less_eq_set_val @ SV56 @ SY537 )
| ( SY537 != SY538 )
| ( ord_less_eq_set_val @ SV56 @ SY538 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[663]) ).
thf(811,plain,
! [SV57: set_val > $o] :
( ( ! [SY539: set_val] :
( ~ ( SV57 @ SY539 )
| ~ ! [SY540: set_val] :
( ~ ( SV57 @ SY540 )
| ( ord_less_eq_set_val @ SY540 @ SY539 ) )
| ( ( order_1960465943et_val @ SV57 )
= SY539 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[664]) ).
thf(812,plain,
! [SV58: set_val] :
( ( ! [SY541: set_val,SY542: set_val,SY543: set_val,SY544: $o] :
( ~ ( ord_less_eq_set_val @ SV58 @ SY541 )
| ~ ( ord_less_eq_set_val @ SY542 @ SY543 )
| ( ord_less_eq_set_val @ ( if_set_val @ SY544 @ SV58 @ SY542 ) @ ( if_set_val @ SY544 @ SY541 @ SY543 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[665]) ).
thf(813,plain,
( ( ! [SV59: set_val] :
( ( ^ [SY545: set_val] : ( SV59 = SY545 ) )
= ( ^ [SY546: set_val] :
~ ( ~ ( ord_less_eq_set_val @ SV59 @ SY546 )
| ~ ( ord_less_eq_set_val @ SY546 @ SV59 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[666]) ).
thf(814,plain,
( ( ( ^ [SX0: set_val,SX1: set_val] : ( SX0 = SX1 ) )
= ( ^ [SX0: set_val,SX1: set_val] :
~ ( ~ ( ord_less_eq_set_val @ SX0 @ SX1 )
| ~ ( ord_less_eq_set_val @ SX1 @ SX0 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[666]) ).
thf(815,plain,
! [SV60: set_val] :
( ( ! [SY547: set_val,SY548: set_val > set_val,SY549: set_val] :
( ~ ( ord_less_eq_set_val @ SV60 @ SY547 )
| ~ ( ord_less_set_val @ ( SY548 @ SY547 ) @ SY549 )
| ~ ! [SX4: set_val,SX5: set_val] :
( ~ ( ord_less_eq_set_val @ SX4 @ SX5 )
| ( ord_less_eq_set_val @ ( SY548 @ SX4 ) @ ( SY548 @ SX5 ) ) )
| ( ord_less_set_val @ ( SY548 @ SV60 ) @ SY549 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[667]) ).
thf(816,plain,
! [SV61: set_val] :
( ( ! [SY552: set_val] :
( ~ ( ord_less_eq_set_val @ SV61 @ SY552 )
| ( ( ~ ( ord_less_set_val @ SV61 @ SY552 ) )
= ( SV61 = SY552 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[668]) ).
thf(817,plain,
! [SV62: set_val] :
( ( ! [SY553: set_val,SY554: set_val] :
( ~ ( ord_less_eq_set_val @ SV62 @ SY553 )
| ~ ( ord_less_set_val @ SY553 @ SY554 )
| ( ord_less_set_val @ SV62 @ SY554 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[669]) ).
thf(818,plain,
! [SV63: set_val] :
( ( ! [SY555: set_val] :
( ~ ( ord_less_eq_set_val @ SV63 @ SY555 )
| ( ord_less_eq_set_val @ SV63 @ SY555 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[670]) ).
thf(819,plain,
! [SV64: set_val] :
( ( ! [SY556: set_val,SY557: set_val > val,SY558: val] :
( ~ ( ord_less_eq_set_val @ SV64 @ SY556 )
| ( ( SY557 @ SY556 )
!= SY558 )
| ~ ! [SX4: set_val,SX5: set_val] :
( ~ ( ord_less_eq_set_val @ SX4 @ SX5 )
| ( ord_less_eq_val @ ( SY557 @ SX4 ) @ ( SY557 @ SX5 ) ) )
| ( ord_less_eq_val @ ( SY557 @ SV64 ) @ SY558 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[671]) ).
thf(820,plain,
! [SV65: set_val] :
( ( ! [SY561: set_val] :
( ~ ( ( SV65 != SY561 ) )
| ~ ( ord_less_eq_set_val @ SV65 @ SY561 )
| ( ord_less_set_val @ SV65 @ SY561 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[672]) ).
thf(821,plain,
! [SV66: set_val] :
( ( ! [SY562: set_val,SY563: set_val > set_val,SY564: set_val] :
( ~ ( ord_less_eq_set_val @ SV66 @ SY562 )
| ( ( SY563 @ SY562 )
!= SY564 )
| ~ ! [SX4: set_val,SX5: set_val] :
( ~ ( ord_less_eq_set_val @ SX4 @ SX5 )
| ( ord_less_eq_set_val @ ( SY563 @ SX4 ) @ ( SY563 @ SX5 ) ) )
| ( ord_less_eq_set_val @ ( SY563 @ SV66 ) @ SY564 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[673]) ).
thf(822,plain,
! [SV67: val > $o] :
( ( ! [SY567: val > $o] :
( ~ ! [SY568: val] :
( ~ ( SV67 @ SY568 )
| ( SY567 @ SY568 ) )
| ( ord_less_eq_set_val @ ( collect_val @ SV67 ) @ ( collect_val @ SY567 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[674]) ).
thf(823,plain,
! [SV68: set_val] :
( ( ! [SY569: set_val,SY570: set_val] :
( ~ ( ord_less_eq_set_val @ SV68 @ SY569 )
| ~ ( ord_less_set_val @ SY570 @ SV68 )
| ( ord_less_set_val @ SY570 @ SY569 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[675]) ).
thf(824,plain,
! [SV69: set_val] :
( ( ! [SY571: set_val,SY572: val] :
( ~ ( ord_less_eq_set_val @ SV69 @ SY571 )
| ~ ( member_val @ SY572 @ SV69 )
| ( member_val @ SY572 @ SY571 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[676]) ).
thf(825,plain,
( ( ! [SV70: $o > set_val] :
( ( ord_le994826475et_val @ SV70 )
= ( ^ [SY573: $o > set_val] :
~ ( ~ ( ord_less_eq_set_val @ ( SV70 @ $false ) @ ( SY573 @ $false ) )
| ~ ( ord_less_eq_set_val @ ( SV70 @ $true ) @ ( SY573 @ $true ) ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[677]) ).
thf(826,plain,
( ( ord_le994826475et_val
= ( ^ [SX0: $o > set_val,SX1: $o > set_val] :
~ ( ~ ( ord_less_eq_set_val @ ( SX0 @ $false ) @ ( SX1 @ $false ) )
| ~ ( ord_less_eq_set_val @ ( SX0 @ $true ) @ ( SX1 @ $true ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[677]) ).
thf(827,plain,
! [SV71: set_val] :
( ( ! [SY574: set_val,SY575: set_val] :
( ~ ( ord_less_eq_set_val @ SV71 @ SY574 )
| ~ ( ord_less_eq_set_val @ SY575 @ SY574 )
| ( ord_less_eq_set_val @ ( sup_sup_set_val @ SV71 @ SY575 ) @ SY574 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[678]) ).
thf(828,plain,
! [SV72: $o > set_val] :
( ( ! [SY576: $o > set_val,SY577: $o] :
( ~ ( ord_le994826475et_val @ SV72 @ SY576 )
| ( ord_less_eq_set_val @ ( SV72 @ SY577 ) @ ( SY576 @ SY577 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[679]) ).
thf(829,plain,
! [SV73: set_val] :
( ( ! [SY578: set_val] :
( ~ ( ord_less_eq_set_val @ SV73 @ SY578 )
| ( ord_less_set_val @ SV73 @ SY578 )
| ( SV73 = SY578 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[680]) ).
thf(830,plain,
! [SV74: set_val] :
( ( ! [SY579: set_val,SY580: set_val] :
( ~ ( ord_less_eq_set_val @ SV74 @ SY579 )
| ~ ( ord_less_set_val @ SY579 @ SY580 )
| ( ord_less_set_val @ SV74 @ SY580 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[681]) ).
thf(831,plain,
! [SV75: set_val] :
( ( ! [SY581: set_val] :
( ~ ( ord_less_eq_set_val @ SV75 @ SY581 )
| ( ( ord_less_eq_set_val @ SY581 @ SV75 )
= ( SY581 = SV75 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[682]) ).
thf(832,plain,
! [SV76: set_val] :
( ( ! [SY582: set_val] :
( ~ ( ord_less_eq_set_val @ ( uminus1961393973et_val @ SV76 ) @ SY582 )
| ( ord_less_eq_set_val @ ( uminus1961393973et_val @ SY582 ) @ SV76 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[683]) ).
thf(833,plain,
! [SV77: set_val > set_val] :
( ( ! [SY583: set_val,SY584: set_val] :
( ~ ( order_1719375026et_val @ SV77 )
| ~ ( ord_less_eq_set_val @ SY583 @ SY584 )
| ( ord_less_eq_set_val @ ( SV77 @ SY584 ) @ ( SV77 @ SY583 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[684]) ).
thf(834,plain,
! [SV78: set_val] :
( ( ! [SY585: set_val] :
( ~ ( ord_less_eq_set_val @ SV78 @ ( uminus1961393973et_val @ SY585 ) )
| ( ord_less_eq_set_val @ SY585 @ ( uminus1961393973et_val @ SV78 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[685]) ).
thf(835,plain,
! [SV79: set_val] :
( ( ! [SY586: set_val,SY587: set_val] :
( ~ ( ord_less_set_val @ SV79 @ SY586 )
| ~ ( ord_less_eq_set_val @ SY586 @ SY587 )
| ( ord_less_set_val @ SV79 @ SY587 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[686]) ).
thf(836,plain,
! [SV80: set_val] :
( ( ! [SY588: set_val,SY589: set_val,SY590: set_val] :
( ( ( set_or1554624499et_val @ SV80 @ SY588 )
= ( set_or1554624499et_val @ SY589 @ SY590 ) )
= ( ~ ( ( SV80 != SY589 )
| ( SY588 != SY590 ) )
| ~ ( ~ ~ ( ord_less_eq_set_val @ SV80 @ SY588 )
| ~ ~ ( ord_less_eq_set_val @ SY589 @ SY590 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[687]) ).
thf(837,plain,
! [SV81: set_val] :
( ( ! [SY591: set_val,SY592: set_val] :
( ~ ( ord_less_eq_set_val @ SV81 @ SY591 )
| ~ ( ord_less_eq_set_val @ SY591 @ SY592 )
| ( ord_less_eq_set_val @ SV81 @ SY592 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[688]) ).
thf(838,plain,
( ( ! [SV82: set_val] :
( ( ord_less_set_val @ SV82 )
= ( ^ [SY593: set_val] :
~ ( ~ ( ord_less_eq_set_val @ SV82 @ SY593 )
| ~ ( ( SV82 != SY593 ) ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[689]) ).
thf(839,plain,
( ( ord_less_set_val
= ( ^ [SX0: set_val,SX1: set_val] :
~ ( ~ ( ord_less_eq_set_val @ SX0 @ SX1 )
| ~ ( ( SX0 != SX1 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[689]) ).
thf(840,plain,
! [SV83: set_val] :
( ( ! [SY594: val > set_val,SY595: val,SY596: val] :
( ( SV83
!= ( SY594 @ SY595 ) )
| ~ ( ord_less_eq_val @ SY595 @ SY596 )
| ~ ! [SX4: val,SX5: val] :
( ~ ( ord_less_eq_val @ SX4 @ SX5 )
| ( ord_less_eq_set_val @ ( SY594 @ SX4 ) @ ( SY594 @ SX5 ) ) )
| ( ord_less_eq_set_val @ SV83 @ ( SY594 @ SY596 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[690]) ).
thf(841,plain,
! [SV84: set_val] :
( ( ! [SY599: set_val,SY600: set_val] :
( ~ ( ord_less_set_val @ SV84 @ SY599 )
| ~ ( ord_less_eq_set_val @ SY599 @ SY600 )
| ( ord_less_set_val @ SV84 @ SY600 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[691]) ).
thf(842,plain,
! [SV85: set_val] :
( ( ! [SY601: set_val] :
( ~ ( ord_less_eq_set_val @ SV85 @ SY601 )
| ~ ( ( SV85 != SY601 ) )
| ( ord_less_set_val @ SV85 @ SY601 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[692]) ).
thf(843,plain,
! [SV86: set_val] :
( ( ! [SY602: set_val,SY603: set_val] :
( ~ ( ord_less_eq_set_val @ SV86 @ SY602 )
| ( ord_less_eq_set_val @ SV86 @ ( sup_sup_set_val @ SY602 @ SY603 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[693]) ).
thf(844,plain,
( ( ! [SV87: set_val] :
( ( ord_less_set_val @ SV87 )
= ( ^ [SY604: set_val] :
~ ( ~ ( ord_less_eq_set_val @ SV87 @ SY604 )
| ~ ~ ( ord_less_eq_set_val @ SY604 @ SV87 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[694]) ).
thf(845,plain,
( ( ord_less_set_val
= ( ^ [SX0: set_val,SX1: set_val] :
~ ( ~ ( ord_less_eq_set_val @ SX0 @ SX1 )
| ~ ~ ( ord_less_eq_set_val @ SX1 @ SX0 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[694]) ).
thf(846,plain,
! [SV88: set_val] :
( ( ! [SY605: set_val,SY606: val] :
( ~ ( ord_less_eq_set_val @ SV88 @ SY605 )
| ~ ( member_val @ SY606 @ SV88 )
| ( member_val @ SY606 @ SY605 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[695]) ).
thf(847,plain,
! [SV89: set_val] :
( ( ! [SY607: set_val] :
( ~ ( ord_less_eq_set_val @ SV89 @ SY607 )
| ~ ( ( SV89 != SY607 ) )
| ( ord_less_set_val @ SV89 @ SY607 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[696]) ).
thf(848,plain,
! [SV90: set_val] :
( ( ! [SY608: set_set_val > set_val,SY609: set_set_val,SY610: set_set_val] :
( ~ ( ord_less_eq_set_val @ SV90 @ ( SY608 @ SY609 ) )
| ~ ( ord_le1742111550et_val @ SY609 @ SY610 )
| ~ ! [SX4: set_set_val,SX5: set_set_val] :
( ~ ( ord_le1742111550et_val @ SX4 @ SX5 )
| ( ord_less_eq_set_val @ ( SY608 @ SX4 ) @ ( SY608 @ SX5 ) ) )
| ( ord_less_eq_set_val @ SV90 @ ( SY608 @ SY610 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[697]) ).
thf(849,plain,
! [SV91: set_val] :
( ( ! [SY613: set_val,SY614: set_val] :
( ~ ( ord_less_eq_set_val @ ( sup_sup_set_val @ SV91 @ SY613 ) @ SY614 )
| ~ ( ~ ( ord_less_eq_set_val @ SV91 @ SY614 )
| ~ ( ord_less_eq_set_val @ SY613 @ SY614 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[698]) ).
thf(850,plain,
! [SV92: set_val] :
( ( ! [SY615: set_val > set_val,SY616: set_val,SY617: set_val] :
( ~ ( ord_less_set_val @ SV92 @ ( SY615 @ SY616 ) )
| ~ ( ord_less_eq_set_val @ SY616 @ SY617 )
| ~ ! [SX4: set_val,SX5: set_val] :
( ~ ( ord_less_eq_set_val @ SX4 @ SX5 )
| ( ord_less_eq_set_val @ ( SY615 @ SX4 ) @ ( SY615 @ SX5 ) ) )
| ( ord_less_set_val @ SV92 @ ( SY615 @ SY617 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[699]) ).
thf(851,plain,
! [SV93: set_val] :
( ( ! [SY620: set_val] :
( ~ ~ ( ord_less_set_val @ SV93 @ SY620 )
| ( ( ord_less_eq_set_val @ SV93 @ SY620 )
= ( SV93 = SY620 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[700]) ).
thf(852,plain,
! [SV94: set_val] :
( ( ! [SY621: set_val,SY622: set_val] :
( ~ ( ord_less_eq_set_val @ SV94 @ SY621 )
| ~ ( ord_less_eq_set_val @ SY622 @ SV94 )
| ( ord_less_eq_set_val @ SY622 @ SY621 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[701]) ).
thf(853,plain,
! [SV95: set_val] :
( ( ! [SY623: set_val] :
( ( SV95 != SY623 )
| ( ord_less_eq_set_val @ SV95 @ SY623 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[702]) ).
thf(854,plain,
! [SV96: set_val] :
( ( ! [SY624: set_val] :
( ~ ( ord_less_eq_set_val @ SV96 @ SY624 )
| ~ ( ord_less_eq_set_val @ SY624 @ SV96 )
| ( SV96 = SY624 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[703]) ).
thf(855,plain,
! [SV97: set_val > set_val] :
( ( ! [SY625: set_val > set_val,SY626: set_val] :
( ~ ( refine1929691018et_val @ SV97 @ SY625 )
| ( ord_less_eq_set_val @ SY626 @ ( SY625 @ ( SV97 @ SY626 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[704]) ).
thf(856,plain,
( ( ! [SV98: set_val] :
( ( ^ [SY627: set_val] : ( SV98 = SY627 ) )
= ( ^ [SY628: set_val] :
~ ( ~ ( ord_less_eq_set_val @ SY628 @ SV98 )
| ~ ( ord_less_eq_set_val @ SV98 @ SY628 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[705]) ).
thf(857,plain,
( ( ( ^ [SX0: set_val,SX1: set_val] : ( SX0 = SX1 ) )
= ( ^ [SX0: set_val,SX1: set_val] :
~ ( ~ ( ord_less_eq_set_val @ SX1 @ SX0 )
| ~ ( ord_less_eq_set_val @ SX0 @ SX1 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[705]) ).
thf(858,plain,
! [SV99: $o] :
( ( ! [SY629: set_val,SY630: set_val,SY631: set_val,SY632: set_val] :
( ~ ( ~ SV99
| ( ord_less_eq_set_val @ SY629 @ SY630 ) )
| ~ ( ~ ~ SV99
| ( ord_less_eq_set_val @ SY631 @ SY632 ) )
| ( ord_less_eq_set_val @ ( if_set_val @ SV99 @ SY629 @ SY631 ) @ ( if_set_val @ SV99 @ SY630 @ SY632 ) ) ) )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[706]) ).
thf(859,plain,
( ( ! [SX0: set_val,SX1: set_val,SX2: set_val,SX3: set_val] :
( ~ ( ~ $true
| ( ord_less_eq_set_val @ SX0 @ SX1 ) )
| ~ ( ~ ~ $true
| ( ord_less_eq_set_val @ SX2 @ SX3 ) )
| ( ord_less_eq_set_val @ ( if_set_val @ $true @ SX0 @ SX2 ) @ ( if_set_val @ $true @ SX1 @ SX3 ) ) ) )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[706]) ).
thf(860,plain,
( ( ! [SX0: set_val,SX1: set_val,SX2: set_val,SX3: set_val] :
( ~ ( ~ $false
| ( ord_less_eq_set_val @ SX0 @ SX1 ) )
| ~ ( ~ ~ $false
| ( ord_less_eq_set_val @ SX2 @ SX3 ) )
| ( ord_less_eq_set_val @ ( if_set_val @ $false @ SX0 @ SX2 ) @ ( if_set_val @ $false @ SX1 @ SX3 ) ) ) )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[706]) ).
thf(861,plain,
( ( ! [SV100: set_val] :
( ( ord_less_eq_set_val @ SV100 )
= ( ^ [SY633: set_val] :
! [SY634: val] :
( ~ ( member_val @ SY634 @ SV100 )
| ( member_val @ SY634 @ SY633 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[707]) ).
thf(862,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)],[707]) ).
thf(863,plain,
! [SV101: set_val] :
( ( ! [SY635: set_val > set_val,SY636: set_val,SY637: set_val] :
( ~ ( ord_less_eq_set_val @ SV101 @ ( SY635 @ SY636 ) )
| ~ ( ord_less_eq_set_val @ SY636 @ SY637 )
| ~ ! [SX4: set_val,SX5: set_val] :
( ~ ( ord_less_eq_set_val @ SX4 @ SX5 )
| ( ord_less_eq_set_val @ ( SY635 @ SX4 ) @ ( SY635 @ SX5 ) ) )
| ( ord_less_eq_set_val @ SV101 @ ( SY635 @ SY637 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[708]) ).
thf(864,plain,
! [SV102: set_val] :
( ( ! [SY640: set_val] :
( ~ ( ord_less_eq_set_val @ SV102 @ SY640 )
| ( ord_less_eq_set_val @ ( uminus1961393973et_val @ SY640 ) @ ( uminus1961393973et_val @ SV102 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[709]) ).
thf(865,plain,
! [SV103: set_val] :
( ( ! [SY641: set_val] :
( ~ ( ord_less_eq_set_val @ SV103 @ SY641 )
| ~ ( ord_less_eq_set_val @ SY641 @ SV103 )
| ( SY641 = SV103 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[710]) ).
thf(866,plain,
! [SV104: set_val] :
( ( ! [SY642: set_val] :
( ~ ( ord_less_eq_set_val @ SV104 @ SY642 )
| ~ ( ord_less_eq_set_val @ SY642 @ SV104 )
| ( SV104 = SY642 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[711]) ).
thf(867,plain,
! [SV105: set_val] :
( ( ! [SY643: set_val] :
( ~ ( ord_less_eq_set_val @ SV105 @ SY643 )
| ~ ( ord_less_set_val @ SY643 @ SV105 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[712]) ).
thf(868,plain,
( ( ! [SV106: set_val > set_val] :
( ( order_1719375026et_val @ SV106 )
= ( ! [SY644: set_val,SY645: set_val] :
( ~ ( ord_less_eq_set_val @ SY644 @ SY645 )
| ( ord_less_eq_set_val @ ( SV106 @ SY645 ) @ ( SV106 @ SY644 ) ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[713]) ).
thf(869,plain,
( ( order_1719375026et_val
= ( ^ [SX0: set_val > set_val] :
! [SX1: set_val,SX2: set_val] :
( ~ ( ord_less_eq_set_val @ SX1 @ SX2 )
| ( ord_less_eq_set_val @ ( SX0 @ SX2 ) @ ( SX0 @ SX1 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[713]) ).
thf(870,plain,
! [SV107: set_val] :
( ( ! [SY646: set_val] :
( ~ ( ord_less_set_val @ SV107 @ SY646 )
| ( ord_less_eq_set_val @ SV107 @ SY646 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[714]) ).
thf(871,plain,
! [SV108: val] :
( ( ! [SY647: set_val > val,SY648: set_val,SY649: set_val] :
( ( SV108
!= ( SY647 @ SY648 ) )
| ~ ( ord_less_eq_set_val @ SY648 @ SY649 )
| ~ ! [SX4: set_val,SX5: set_val] :
( ~ ( ord_less_eq_set_val @ SX4 @ SX5 )
| ( ord_less_eq_val @ ( SY647 @ SX4 ) @ ( SY647 @ SX5 ) ) )
| ( ord_less_eq_val @ SV108 @ ( SY647 @ SY649 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[715]) ).
thf(872,plain,
! [SV109: set_val] :
( ( ! [SY652: set_val,SY653: set_val > val,SY654: val] :
( ~ ( ord_less_eq_set_val @ SV109 @ SY652 )
| ~ ( ord_less_eq_val @ ( SY653 @ SY652 ) @ SY654 )
| ~ ! [SX4: set_val,SX5: set_val] :
( ~ ( ord_less_eq_set_val @ SX4 @ SX5 )
| ( ord_less_eq_val @ ( SY653 @ SX4 ) @ ( SY653 @ SX5 ) ) )
| ( ord_less_eq_val @ ( SY653 @ SV109 ) @ SY654 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[716]) ).
thf(873,plain,
! [SV110: set_set_val] :
( ( ! [SY657: set_set_val,SY658: set_set_val > set_val,SY659: set_val] :
( ~ ( ord_le1742111550et_val @ SV110 @ SY657 )
| ( ( SY658 @ SY657 )
!= SY659 )
| ~ ! [SX4: set_set_val,SX5: set_set_val] :
( ~ ( ord_le1742111550et_val @ SX4 @ SX5 )
| ( ord_less_eq_set_val @ ( SY658 @ SX4 ) @ ( SY658 @ SX5 ) ) )
| ( ord_less_eq_set_val @ ( SY658 @ SV110 ) @ SY659 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[717]) ).
thf(874,plain,
! [SV111: set_val > set_val] :
( ( ! [SY662: set_val,SY663: set_val] :
( ~ ( order_1719375026et_val @ SV111 )
| ~ ( ord_less_eq_set_val @ SY662 @ SY663 )
| ( ord_less_eq_set_val @ ( SV111 @ SY663 ) @ ( SV111 @ SY662 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[718]) ).
thf(875,plain,
! [SV112: $o] :
( ( ! [SY664: set_val,SY665: set_val,SY666: set_val] :
( ~ ( ~ SV112
| ( ord_less_eq_set_val @ SY664 @ SY665 ) )
| ~ ( ~ ~ SV112
| ( ord_less_eq_set_val @ SY666 @ SY665 ) )
| ( ord_less_eq_set_val @ ( if_set_val @ SV112 @ SY664 @ SY666 ) @ SY665 ) ) )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[719]) ).
thf(876,plain,
( ( ! [SX0: set_val,SX1: set_val,SX2: set_val] :
( ~ ( ~ $true
| ( ord_less_eq_set_val @ SX0 @ SX1 ) )
| ~ ( ~ ~ $true
| ( ord_less_eq_set_val @ SX2 @ SX1 ) )
| ( ord_less_eq_set_val @ ( if_set_val @ $true @ SX0 @ SX2 ) @ SX1 ) ) )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[719]) ).
thf(877,plain,
( ( ! [SX0: set_val,SX1: set_val,SX2: set_val] :
( ~ ( ~ $false
| ( ord_less_eq_set_val @ SX0 @ SX1 ) )
| ~ ( ~ ~ $false
| ( ord_less_eq_set_val @ SX2 @ SX1 ) )
| ( ord_less_eq_set_val @ ( if_set_val @ $false @ SX0 @ SX2 ) @ SX1 ) ) )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[719]) ).
thf(878,plain,
! [SV113: set_val] :
( ( ! [SY667: set_val > set_val,SY668: set_val,SY669: set_val] :
( ( SV113
!= ( SY667 @ SY668 ) )
| ~ ( ord_less_eq_set_val @ SY668 @ SY669 )
| ~ ! [SX4: set_val,SX5: set_val] :
( ~ ( ord_less_eq_set_val @ SX4 @ SX5 )
| ( ord_less_eq_set_val @ ( SY667 @ SX4 ) @ ( SY667 @ SX5 ) ) )
| ( ord_less_eq_set_val @ SV113 @ ( SY667 @ SY669 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[720]) ).
thf(879,plain,
! [SV114: set_val] :
( ( ! [SY672: set_val] :
( ~ ( ord_less_set_val @ SV114 @ SY672 )
| ( ord_less_eq_set_val @ SV114 @ SY672 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[721]) ).
thf(880,plain,
! [SV115: set_val > $o] :
( ( ! [SY673: set_val,SY674: set_val > $o] :
( ~ ( SV115 @ SY673 )
| ~ ! [SY675: set_val] :
( ~ ( SV115 @ SY675 )
| ( ord_less_eq_set_val @ SY675 @ SY673 ) )
| ~ ! [SY676: set_val] :
( ~ ( SV115 @ SY676 )
| ~ ! [SY677: set_val] :
( ~ ( SV115 @ SY677 )
| ( ord_less_eq_set_val @ SY677 @ SY676 ) )
| ( SY674 @ SY676 ) )
| ( SY674 @ ( order_1960465943et_val @ SV115 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[722]) ).
thf(881,plain,
( ( ! [SV116: set_val] :
( ( ord_less_set_val @ SV116 )
= ( ^ [SY678: set_val] :
~ ( ~ ( ord_less_eq_set_val @ SV116 @ SY678 )
| ~ ( ( SY678 != SV116 ) ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[723]) ).
thf(882,plain,
( ( ord_less_set_val
= ( ^ [SX0: set_val,SX1: set_val] :
~ ( ~ ( ord_less_eq_set_val @ SX0 @ SX1 )
| ~ ( ( SX1 != SX0 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[723]) ).
thf(883,plain,
! [SV117: set_val] :
( ( ! [SY679: set_val,SY680: set_val] :
( ( ord_less_eq_set_val @ ( sup_sup_set_val @ SV117 @ SY679 ) @ SY680 )
= ( ~ ( ~ ( ord_less_eq_set_val @ SV117 @ SY680 )
| ~ ( ord_less_eq_set_val @ SY679 @ SY680 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[724]) ).
thf(884,plain,
! [SV118: set_val > set_val] :
( ( ! [SY681: set_val > set_val] :
( ~ ! [SY682: set_val,SY683: set_val] :
( ( ord_less_eq_set_val @ SY682 @ ( SV118 @ SY683 ) )
= ( ord_less_eq_set_val @ ( SY681 @ SY682 ) @ SY683 ) )
| ( refine1929691018et_val @ SY681 @ SV118 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[725]) ).
thf(885,plain,
! [SV119: set_val] :
( ( ! [SY684: set_val] :
( ~ ( ord_less_set_val @ SV119 @ SY684 )
| ( ord_less_eq_set_val @ SV119 @ SY684 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[726]) ).
thf(886,plain,
! [SV120: set_val] :
( ( ! [SY685: set_val] :
( ~ ( ord_less_eq_set_val @ SV120 @ SY685 )
| ( ( sup_sup_set_val @ SV120 @ SY685 )
= SY685 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[727]) ).
thf(887,plain,
! [SV121: set_val] :
( ( ! [SY686: set_val,SY687: set_val] :
( ~ ( ord_less_set_val @ SV121 @ SY686 )
| ~ ( ord_less_eq_set_val @ SY686 @ SY687 )
| ( ord_less_set_val @ SV121 @ SY687 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[728]) ).
thf(888,plain,
! [SV122: set_val > set_val] :
( ( ! [SY688: set_val > set_val,SY689: set_val] :
( ~ ( refine1929691018et_val @ SV122 @ SY688 )
| ( ord_less_eq_set_val @ ( SV122 @ ( SY688 @ SY689 ) ) @ SY689 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[729]) ).
thf(889,plain,
! [SV123: set_val] :
( ( ! [SY690: set_val,SY691: set_val] :
( ( SV123 != SY690 )
| ~ ( ord_less_eq_set_val @ SY690 @ SY691 )
| ( ord_less_eq_set_val @ SV123 @ SY691 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[730]) ).
thf(890,plain,
! [SV124: set_val] :
( ( ! [SY692: set_val] :
( ~ ( ord_less_eq_set_val @ SV124 @ SY692 )
| ( ( sup_sup_set_val @ SV124 @ SY692 )
= SY692 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[731]) ).
thf(891,plain,
! [SV125: set_val > set_val] :
( ( ! [SY693: set_val > set_val,SY694: set_val,SY695: set_val] :
( ~ ( refine1929691018et_val @ SV125 @ SY693 )
| ( ( ord_less_eq_set_val @ SY694 @ ( SY693 @ SY695 ) )
= ( ord_less_eq_set_val @ ( SV125 @ SY694 ) @ SY695 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[732]) ).
thf(892,plain,
! [SV126: $o > set_val] :
( ( ! [SY696: $o > set_val] :
( ~ ! [SY697: $o] : ( ord_less_eq_set_val @ ( SV126 @ SY697 ) @ ( SY696 @ SY697 ) )
| ( ord_le994826475et_val @ SV126 @ SY696 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[733]) ).
thf(893,plain,
! [SV127: set_val] :
( ( ! [SY698: set_val] :
( ( SV127
!= ( sup_sup_set_val @ SV127 @ SY698 ) )
| ( ord_less_eq_set_val @ SY698 @ SV127 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[734]) ).
thf(894,plain,
! [SV128: set_val > set_val] :
( ( ~ ! [SY699: set_val,SY700: set_val] :
( ~ ( ord_less_eq_set_val @ SY699 @ SY700 )
| ( ord_less_eq_set_val @ ( SV128 @ SY700 ) @ ( SV128 @ SY699 ) ) )
| ( order_1719375026et_val @ SV128 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[735]) ).
thf(895,plain,
! [SV129: set_val] :
( ( ! [SY701: set_val,SY702: set_val] :
( ~ ( ord_less_set_val @ SV129 @ SY701 )
| ~ ( ord_less_eq_set_val @ SY702 @ SV129 )
| ( ord_less_set_val @ SY702 @ SY701 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[736]) ).
thf(896,plain,
! [SV130: $o > set_val] :
( ( ( ord_le994826475et_val @ SV130 )
= ( ^ [SY703: $o > set_val] :
! [SY704: $o] : ( ord_less_eq_set_val @ ( SV130 @ SY704 ) @ ( SY703 @ SY704 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[740]) ).
thf(897,plain,
! [SV131: set_val > set_val] :
( ( ( refine1929691018et_val @ SV131 )
= ( ^ [SY705: set_val > set_val] :
! [SY706: set_val,SY707: set_val] :
( ( ord_less_eq_set_val @ SY706 @ ( SY705 @ SY707 ) )
= ( ord_less_eq_set_val @ ( SV131 @ SY706 ) @ SY707 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[742]) ).
thf(898,plain,
! [SV132: set_val,SV6: set_val] :
( ( ( ord_less_eq_set_val @ ( uminus1961393973et_val @ SV6 ) @ ( uminus1961393973et_val @ SV132 ) )
= ( ord_less_eq_set_val @ SV132 @ SV6 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[744]) ).
thf(899,plain,
! [SV133: set_val] :
( ( ( ord_less_eq_set_val @ SV133 )
= ( ^ [SY708: set_val] :
( ( ord_less_set_val @ SV133 @ SY708 )
| ( SV133 = SY708 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[745]) ).
thf(900,plain,
! [SV134: set_val] :
( ( ( ord_less_eq_set_val @ SV134 )
= ( ^ [SY709: set_val] :
( ( ord_less_set_val @ SV134 @ SY709 )
| ( SV134 = SY709 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[747]) ).
thf(901,plain,
! [SV135: set_val] :
( ( ( ord_less_eq_set_val @ SV135 )
= ( ^ [SY710: set_val] :
( ( ord_less_set_val @ SV135 @ SY710 )
| ( SY710 = SV135 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[749]) ).
thf(902,plain,
! [SV136: set_val] :
( ( ( ord_less_eq_set_val @ SV136 )
= ( ^ [SY711: set_val] :
( ( ord_less_set_val @ SV136 @ SY711 )
| ( SV136 = SY711 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[751]) ).
thf(903,plain,
! [SV137: set_val,SV11: set_val] :
( ( ( ord_less_eq_set_val @ ( uminus1961393973et_val @ SV11 ) @ ( uminus1961393973et_val @ SV137 ) )
= ( ord_less_eq_set_val @ SV137 @ SV11 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[753]) ).
thf(904,plain,
! [SV138: set_val] :
( ( ( ord_less_eq_set_val @ SV138 )
= ( ^ [SY712: set_val] :
( ( sup_sup_set_val @ SV138 @ SY712 )
= SY712 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[754]) ).
thf(905,plain,
! [SV139: set_val] :
( ( ( ord_less_eq_set_val @ SV139 )
= ( ^ [SY713: set_val] :
( ( sup_sup_set_val @ SY713 @ SV139 )
= SY713 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[756]) ).
thf(906,plain,
! [SV140: set_val,SV14: set_val] :
( ( ord_less_eq_set_val @ SV14 @ ( sup_sup_set_val @ SV140 @ SV14 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[758]) ).
thf(907,plain,
! [SV141: set_val,SV15: set_val] :
( ( ord_less_eq_set_val @ SV15 @ ( sup_sup_set_val @ SV15 @ SV141 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[759]) ).
thf(908,plain,
! [SV142: set_val] :
( ( ( ord_less_eq_set_val @ SV142 )
= ( ^ [SY714: set_val] :
( SY714
= ( sup_sup_set_val @ SY714 @ SV142 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[760]) ).
thf(909,plain,
! [SV17: $o] :
( ( ( SV17 = $true )
= $true )
| ( ( SV17 = $false )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[762]) ).
thf(910,plain,
( ( ( $true = $true )
= $true )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[763]) ).
thf(911,plain,
( ( ( $false = $true )
= $true )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[764]) ).
thf(912,plain,
! [SV143: set_val,SV18: set_val] :
( ( ~ ( ord_less_eq_set_val @ SV18 @ SV143 )
| ( ( sup_sup_set_val @ SV143 @ SV18 )
= SV143 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[766]) ).
thf(913,plain,
! [SV144: set_val,SV19: set_val > set_val > set_val] :
( ( ! [SY715: set_val] :
( ~ ! [SY437: set_val,SY438: set_val] : ( ord_less_eq_set_val @ SY437 @ ( SV19 @ SY437 @ SY438 ) )
| ~ ! [SY439: set_val,SY440: set_val] : ( ord_less_eq_set_val @ SY440 @ ( SV19 @ SY439 @ SY440 ) )
| ~ ! [SY441: set_val,SY442: set_val,SY443: set_val] :
( ~ ( ord_less_eq_set_val @ SY442 @ SY441 )
| ~ ( ord_less_eq_set_val @ SY443 @ SY441 )
| ( ord_less_eq_set_val @ ( SV19 @ SY442 @ SY443 ) @ SY441 ) )
| ( ( sup_sup_set_val @ SV144 @ SY715 )
= ( SV19 @ SV144 @ SY715 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[767]) ).
thf(914,plain,
! [SV145: set_val,SV20: set_val] :
( ( ~ ( ord_less_set_val @ SV20 @ SV145 )
| ~ ( ~ ( ord_less_eq_set_val @ SV20 @ SV145 )
| ( ord_less_eq_set_val @ SV145 @ SV20 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[768]) ).
thf(915,plain,
! [SV146: set_val,SV21: set_val] :
( ( ! [SY723: set_val] :
( ~ ( ord_less_eq_set_val @ SV21 @ SV146 )
| ~ ( ord_less_eq_set_val @ SV146 @ SY723 )
| ( ord_less_eq_set_val @ SV21 @ SY723 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[769]) ).
thf(916,plain,
! [SV147: val > set_val,SV22: set_val] :
( ( ! [SY724: val,SY725: val] :
( ~ ( ord_less_eq_set_val @ SV22 @ ( SV147 @ SY724 ) )
| ~ ( ord_less_eq_val @ SY724 @ SY725 )
| ~ ! [SY726: val,SY727: val] :
( ~ ( ord_less_eq_val @ SY726 @ SY727 )
| ( ord_less_eq_set_val @ ( SV147 @ SY726 ) @ ( SV147 @ SY727 ) ) )
| ( ord_less_eq_set_val @ SV22 @ ( SV147 @ SY725 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[770]) ).
thf(917,plain,
! [SV23: val] :
( ( ( ~ ( member_val @ SV23 @ scc ) )
= $true )
| ( ( member_val @ SV23 @ p )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[771]) ).
thf(918,plain,
! [SV148: set_val,SV24: set_val] :
( ( ! [SY728: set_val > set_set_val,SY729: set_set_val] :
( ~ ( ord_less_eq_set_val @ SV24 @ SV148 )
| ~ ( ord_le1742111550et_val @ ( SY728 @ SV148 ) @ SY729 )
| ~ ! [SX4: set_val,SX5: set_val] :
( ~ ( ord_less_eq_set_val @ SX4 @ SX5 )
| ( ord_le1742111550et_val @ ( SY728 @ SX4 ) @ ( SY728 @ SX5 ) ) )
| ( ord_le1742111550et_val @ ( SY728 @ SV24 ) @ SY729 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[772]) ).
thf(919,plain,
! [SV149: set_val] :
( ( ( ord_less_set_val @ SV149 )
= ( ^ [SY732: set_val] :
~ ( ~ ( ord_less_eq_set_val @ SV149 @ SY732 )
| ~ ( ( SV149 != SY732 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[773]) ).
thf(920,plain,
! [SV150: set_val] :
( ( ( ^ [SY733: set_val] : ( SV150 = SY733 ) )
= ( ^ [SY734: set_val] :
~ ( ~ ( ord_less_eq_set_val @ SV150 @ SY734 )
| ~ ( ord_less_eq_set_val @ SY734 @ SV150 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[775]) ).
thf(921,plain,
! [SV151: set_val > set_set_val,SV27: set_set_val] :
( ( ! [SY735: set_val,SY736: set_val] :
( ~ ( ord_le1742111550et_val @ SV27 @ ( SV151 @ SY735 ) )
| ~ ( ord_less_eq_set_val @ SY735 @ SY736 )
| ~ ! [SY737: set_val,SY738: set_val] :
( ~ ( ord_less_eq_set_val @ SY737 @ SY738 )
| ( ord_le1742111550et_val @ ( SV151 @ SY737 ) @ ( SV151 @ SY738 ) ) )
| ( ord_le1742111550et_val @ SV27 @ ( SV151 @ SY736 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[777]) ).
thf(922,plain,
! [SV152: set_val] :
( ( ( ord_less_set_val @ SV152 )
= ( ^ [SY739: set_val] :
~ ( ~ ( ord_less_eq_set_val @ SV152 @ SY739 )
| ~ ~ ( ord_less_eq_set_val @ SY739 @ SV152 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[778]) ).
thf(923,plain,
! [SV153: set_val] :
( ( ( ord_less_set_val @ SV153 )
= ( ^ [SY740: set_val] :
~ ( ~ ( ord_less_eq_set_val @ SV153 @ SY740 )
| ~ ( ( SV153 != SY740 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[780]) ).
thf(924,plain,
! [SV154: set_val,SV30: set_val] :
( ( ~ ( ord_less_eq_set_val @ SV30 @ SV154 )
| ( ( sup_sup_set_val @ SV154 @ SV30 )
= SV154 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[782]) ).
thf(925,plain,
! [SV155: set_val,SV31: set_val] :
( ( ( SV31 != SV155 )
| ~ ( ~ ( ord_less_eq_set_val @ SV31 @ SV155 )
| ~ ( ord_less_eq_set_val @ SV155 @ SV31 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[783]) ).
thf(926,plain,
! [SV156: set_val,SV32: set_val] :
( ( ! [SY741: set_val] :
( ( ord_less_eq_set_val @ ( sup_sup_set_val @ SV32 @ SV156 ) @ SY741 )
= ( ~ ( ~ ( ord_less_eq_set_val @ SV32 @ SY741 )
| ~ ( ord_less_eq_set_val @ SV156 @ SY741 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[784]) ).
thf(927,plain,
! [SV157: set_val > val,SV33: val] :
( ( ! [SY742: set_val,SY743: set_val] :
( ~ ( ord_less_eq_val @ SV33 @ ( SV157 @ SY742 ) )
| ~ ( ord_less_eq_set_val @ SY742 @ SY743 )
| ~ ! [SY744: set_val,SY745: set_val] :
( ~ ( ord_less_eq_set_val @ SY744 @ SY745 )
| ( ord_less_eq_val @ ( SV157 @ SY744 ) @ ( SV157 @ SY745 ) ) )
| ( ord_less_eq_val @ SV33 @ ( SV157 @ SY743 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[785]) ).
thf(928,plain,
! [SV158: set_val,SV34: set_val] :
( ( ( SV34 != SV158 )
| ( ord_less_eq_set_val @ SV34 @ SV158 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[786]) ).
thf(929,plain,
! [SV159: set_val,SV35: set_val] :
( ( ! [SY746: set_val] :
( ( ord_less_eq_set_val @ ( sup_sup_set_val @ SV35 @ SV159 ) @ SY746 )
= ( ~ ( ~ ( ord_less_eq_set_val @ SV35 @ SY746 )
| ~ ( ord_less_eq_set_val @ SV159 @ SY746 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[787]) ).
thf(930,plain,
! [SV160: set_val,SV36: set_val] :
( ( ! [SY747: set_val > set_set_val,SY748: set_set_val] :
( ~ ( ord_less_eq_set_val @ SV36 @ SV160 )
| ( ( SY747 @ SV160 )
!= SY748 )
| ~ ! [SX4: set_val,SX5: set_val] :
( ~ ( ord_less_eq_set_val @ SX4 @ SX5 )
| ( ord_le1742111550et_val @ ( SY747 @ SX4 ) @ ( SY747 @ SX5 ) ) )
| ( ord_le1742111550et_val @ ( SY747 @ SV36 ) @ SY748 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[788]) ).
thf(931,plain,
! [SV161: set_val,SV37: set_val] :
( ( ~ ( ord_less_eq_set_val @ SV37 @ SV161 )
| ( ord_less_eq_set_val @ ( uminus1961393973et_val @ SV161 ) @ ( uminus1961393973et_val @ SV37 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[789]) ).
thf(932,plain,
! [SV162: val,SV38: val] :
( ( ! [SY751: val > set_val,SY752: set_val] :
( ~ ( ord_less_eq_val @ SV38 @ SV162 )
| ( ( SY751 @ SV162 )
!= SY752 )
| ~ ! [SX4: val,SX5: val] :
( ~ ( ord_less_eq_val @ SX4 @ SX5 )
| ( ord_less_eq_set_val @ ( SY751 @ SX4 ) @ ( SY751 @ SX5 ) ) )
| ( ord_less_eq_set_val @ ( SY751 @ SV38 ) @ SY752 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[790]) ).
thf(933,plain,
! [SV163: set_val,SV39: set_val] :
( ( ! [SY755: set_val] :
( ~ ( ord_less_eq_set_val @ SV39 @ SV163 )
| ( ord_less_eq_set_val @ SV39 @ ( sup_sup_set_val @ SY755 @ SV163 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[791]) ).
thf(934,plain,
! [SV164: set_val,SV40: set_val] :
( ( ( SV40 != SV164 )
| ( ord_less_eq_set_val @ SV164 @ SV40 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[792]) ).
thf(935,plain,
! [SV165: $o > set_val,SV41: $o > set_val] :
( ( ! [SY756: $o] :
( ~ ( ord_le994826475et_val @ SV41 @ SV165 )
| ( ord_less_eq_set_val @ ( SV41 @ SY756 ) @ ( SV165 @ SY756 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[793]) ).
thf(936,plain,
! [SV166: set_val,SV42: set_val] :
( ( ! [SY757: set_val > set_val,SY758: set_val] :
( ~ ( ord_less_eq_set_val @ SV42 @ SV166 )
| ~ ( ord_less_eq_set_val @ ( SY757 @ SV166 ) @ SY758 )
| ~ ! [SX4: set_val,SX5: set_val] :
( ~ ( ord_less_eq_set_val @ SX4 @ SX5 )
| ( ord_less_eq_set_val @ ( SY757 @ SX4 ) @ ( SY757 @ SX5 ) ) )
| ( ord_less_eq_set_val @ ( SY757 @ SV42 ) @ SY758 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[794]) ).
thf(937,plain,
! [SV167: set_val] :
( ( ( ^ [SY761: set_val] : ( SV167 = SY761 ) )
= ( ^ [SY762: set_val] :
~ ( ~ ( ord_less_eq_set_val @ SV167 @ SY762 )
| ~ ( ord_less_eq_set_val @ SY762 @ SV167 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[795]) ).
thf(938,plain,
! [SV168: val > $o,SV44: val > $o] :
( ( ( ord_less_eq_set_val @ ( collect_val @ SV44 ) @ ( collect_val @ SV168 ) )
= ( ! [SY763: val] :
( ~ ( SV44 @ SY763 )
| ( SV168 @ SY763 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[797]) ).
thf(939,plain,
! [SV169: set_val > set_set_val,SV45: set_set_val] :
( ( ! [SY764: set_val,SY765: set_val] :
( ( SV45
!= ( SV169 @ SY764 ) )
| ~ ( ord_less_eq_set_val @ SY764 @ SY765 )
| ~ ! [SY766: set_val,SY767: set_val] :
( ~ ( ord_less_eq_set_val @ SY766 @ SY767 )
| ( ord_le1742111550et_val @ ( SV169 @ SY766 ) @ ( SV169 @ SY767 ) ) )
| ( ord_le1742111550et_val @ SV45 @ ( SV169 @ SY765 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[798]) ).
thf(940,plain,
! [SV170: set_set_val,SV46: set_set_val] :
( ( ! [SY768: set_set_val > set_val,SY769: set_val] :
( ~ ( ord_le1742111550et_val @ SV46 @ SV170 )
| ~ ( ord_less_eq_set_val @ ( SY768 @ SV170 ) @ SY769 )
| ~ ! [SX4: set_set_val,SX5: set_set_val] :
( ~ ( ord_le1742111550et_val @ SX4 @ SX5 )
| ( ord_less_eq_set_val @ ( SY768 @ SX4 ) @ ( SY768 @ SX5 ) ) )
| ( ord_less_eq_set_val @ ( SY768 @ SV46 ) @ SY769 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[799]) ).
thf(941,plain,
! [SV171: set_val,SV47: set_val] :
( ( ~ ( ord_less_set_val @ SV47 @ SV171 )
| ( ord_less_eq_set_val @ SV47 @ SV171 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[800]) ).
thf(942,plain,
! [SV172: set_val,SV48: set_val] :
( ( ! [SY772: set_val,SY773: set_val] :
( ( SV48 != SV172 )
| ~ ( ord_less_eq_set_val @ SV172 @ SY772 )
| ( SY772 != SY773 )
| ( ord_less_eq_set_val @ SV48 @ SY773 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[801]) ).
thf(943,plain,
! [SV173: set_set_val > set_val,SV49: set_val] :
( ( ! [SY774: set_set_val,SY775: set_set_val] :
( ( SV49
!= ( SV173 @ SY774 ) )
| ~ ( ord_le1742111550et_val @ SY774 @ SY775 )
| ~ ! [SY776: set_set_val,SY777: set_set_val] :
( ~ ( ord_le1742111550et_val @ SY776 @ SY777 )
| ( ord_less_eq_set_val @ ( SV173 @ SY776 ) @ ( SV173 @ SY777 ) ) )
| ( ord_less_eq_set_val @ SV49 @ ( SV173 @ SY775 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[802]) ).
thf(944,plain,
! [SV174: set_val,SV50: set_val] :
( ( ! [SY778: set_val] :
( ~ ( ord_less_eq_set_val @ SV50 @ SV174 )
| ~ ( ord_less_eq_set_val @ SV174 @ SY778 )
| ( ord_less_eq_set_val @ SV50 @ SY778 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[803]) ).
thf(945,plain,
! [SV175: set_val] :
( ( ( ord_less_eq_set_val @ SV175 )
= ( ^ [SY779: set_val] :
! [SY780: val] :
( ~ ( member_val @ SY780 @ SV175 )
| ( member_val @ SY780 @ SY779 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[804]) ).
thf(946,plain,
! [SV176: set_val,SV52: set_val] :
( ( ~ ! [SY781: val] :
( ~ ( member_val @ SY781 @ SV52 )
| ( member_val @ SY781 @ SV176 ) )
| ( ord_less_eq_set_val @ SV52 @ SV176 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[806]) ).
thf(947,plain,
! [SV177: val,SV53: val] :
( ( ! [SY782: val > set_val,SY783: set_val] :
( ~ ( ord_less_eq_val @ SV53 @ SV177 )
| ~ ( ord_less_eq_set_val @ ( SY782 @ SV177 ) @ SY783 )
| ~ ! [SX4: val,SX5: val] :
( ~ ( ord_less_eq_val @ SX4 @ SX5 )
| ( ord_less_eq_set_val @ ( SY782 @ SX4 ) @ ( SY782 @ SX5 ) ) )
| ( ord_less_eq_set_val @ ( SY782 @ SV53 ) @ SY783 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[807]) ).
thf(948,plain,
! [SV178: set_val,SV54: set_val] :
( ( ! [SY786: set_val] :
( ~ ( ord_less_eq_set_val @ SV54 @ SV178 )
| ~ ( ord_less_set_val @ SV178 @ SY786 )
| ( ord_less_set_val @ SV54 @ SY786 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[808]) ).
thf(949,plain,
! [SV179: set_val,SV55: set_val] :
( ( ~ ( ord_less_eq_set_val @ SV55 @ SV179 )
| ~ ( ord_less_eq_set_val @ SV179 @ SV55 )
| ( SV55 = SV179 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[809]) ).
thf(950,plain,
! [SV180: set_val,SV56: set_val] :
( ( ! [SY787: set_val] :
( ~ ( ord_less_eq_set_val @ SV56 @ SV180 )
| ( SV180 != SY787 )
| ( ord_less_eq_set_val @ SV56 @ SY787 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[810]) ).
thf(951,plain,
! [SV181: set_val,SV57: set_val > $o] :
( ( ~ ( SV57 @ SV181 )
| ~ ! [SY788: set_val] :
( ~ ( SV57 @ SY788 )
| ( ord_less_eq_set_val @ SY788 @ SV181 ) )
| ( ( order_1960465943et_val @ SV57 )
= SV181 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[811]) ).
thf(952,plain,
! [SV182: set_val,SV58: set_val] :
( ( ! [SY789: set_val,SY790: set_val,SY791: $o] :
( ~ ( ord_less_eq_set_val @ SV58 @ SV182 )
| ~ ( ord_less_eq_set_val @ SY789 @ SY790 )
| ( ord_less_eq_set_val @ ( if_set_val @ SY791 @ SV58 @ SY789 ) @ ( if_set_val @ SY791 @ SV182 @ SY790 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[812]) ).
thf(953,plain,
! [SV183: set_val] :
( ( ( ^ [SY792: set_val] : ( SV183 = SY792 ) )
= ( ^ [SY793: set_val] :
~ ( ~ ( ord_less_eq_set_val @ SV183 @ SY793 )
| ~ ( ord_less_eq_set_val @ SY793 @ SV183 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[813]) ).
thf(954,plain,
! [SV184: set_val,SV60: set_val] :
( ( ! [SY794: set_val > set_val,SY795: set_val] :
( ~ ( ord_less_eq_set_val @ SV60 @ SV184 )
| ~ ( ord_less_set_val @ ( SY794 @ SV184 ) @ SY795 )
| ~ ! [SX4: set_val,SX5: set_val] :
( ~ ( ord_less_eq_set_val @ SX4 @ SX5 )
| ( ord_less_eq_set_val @ ( SY794 @ SX4 ) @ ( SY794 @ SX5 ) ) )
| ( ord_less_set_val @ ( SY794 @ SV60 ) @ SY795 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[815]) ).
thf(955,plain,
! [SV185: set_val,SV61: set_val] :
( ( ~ ( ord_less_eq_set_val @ SV61 @ SV185 )
| ( ( ~ ( ord_less_set_val @ SV61 @ SV185 ) )
= ( SV61 = SV185 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[816]) ).
thf(956,plain,
! [SV186: set_val,SV62: set_val] :
( ( ! [SY798: set_val] :
( ~ ( ord_less_eq_set_val @ SV62 @ SV186 )
| ~ ( ord_less_set_val @ SV186 @ SY798 )
| ( ord_less_set_val @ SV62 @ SY798 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[817]) ).
thf(957,plain,
! [SV187: set_val,SV63: set_val] :
( ( ~ ( ord_less_eq_set_val @ SV63 @ SV187 )
| ( ord_less_eq_set_val @ SV63 @ SV187 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[818]) ).
thf(958,plain,
! [SV188: set_val,SV64: set_val] :
( ( ! [SY799: set_val > val,SY800: val] :
( ~ ( ord_less_eq_set_val @ SV64 @ SV188 )
| ( ( SY799 @ SV188 )
!= SY800 )
| ~ ! [SX4: set_val,SX5: set_val] :
( ~ ( ord_less_eq_set_val @ SX4 @ SX5 )
| ( ord_less_eq_val @ ( SY799 @ SX4 ) @ ( SY799 @ SX5 ) ) )
| ( ord_less_eq_val @ ( SY799 @ SV64 ) @ SY800 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[819]) ).
thf(959,plain,
! [SV189: set_val,SV65: set_val] :
( ( ~ ( ( SV65 != SV189 ) )
| ~ ( ord_less_eq_set_val @ SV65 @ SV189 )
| ( ord_less_set_val @ SV65 @ SV189 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[820]) ).
thf(960,plain,
! [SV190: set_val,SV66: set_val] :
( ( ! [SY803: set_val > set_val,SY804: set_val] :
( ~ ( ord_less_eq_set_val @ SV66 @ SV190 )
| ( ( SY803 @ SV190 )
!= SY804 )
| ~ ! [SX4: set_val,SX5: set_val] :
( ~ ( ord_less_eq_set_val @ SX4 @ SX5 )
| ( ord_less_eq_set_val @ ( SY803 @ SX4 ) @ ( SY803 @ SX5 ) ) )
| ( ord_less_eq_set_val @ ( SY803 @ SV66 ) @ SY804 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[821]) ).
thf(961,plain,
! [SV191: val > $o,SV67: val > $o] :
( ( ~ ! [SY807: val] :
( ~ ( SV67 @ SY807 )
| ( SV191 @ SY807 ) )
| ( ord_less_eq_set_val @ ( collect_val @ SV67 ) @ ( collect_val @ SV191 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[822]) ).
thf(962,plain,
! [SV192: set_val,SV68: set_val] :
( ( ! [SY808: set_val] :
( ~ ( ord_less_eq_set_val @ SV68 @ SV192 )
| ~ ( ord_less_set_val @ SY808 @ SV68 )
| ( ord_less_set_val @ SY808 @ SV192 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[823]) ).
thf(963,plain,
! [SV193: set_val,SV69: set_val] :
( ( ! [SY809: val] :
( ~ ( ord_less_eq_set_val @ SV69 @ SV193 )
| ~ ( member_val @ SY809 @ SV69 )
| ( member_val @ SY809 @ SV193 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[824]) ).
thf(964,plain,
! [SV194: $o > set_val] :
( ( ( ord_le994826475et_val @ SV194 )
= ( ^ [SY810: $o > set_val] :
~ ( ~ ( ord_less_eq_set_val @ ( SV194 @ $false ) @ ( SY810 @ $false ) )
| ~ ( ord_less_eq_set_val @ ( SV194 @ $true ) @ ( SY810 @ $true ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[825]) ).
thf(965,plain,
! [SV195: set_val,SV71: set_val] :
( ( ! [SY811: set_val] :
( ~ ( ord_less_eq_set_val @ SV71 @ SV195 )
| ~ ( ord_less_eq_set_val @ SY811 @ SV195 )
| ( ord_less_eq_set_val @ ( sup_sup_set_val @ SV71 @ SY811 ) @ SV195 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[827]) ).
thf(966,plain,
! [SV196: $o > set_val,SV72: $o > set_val] :
( ( ! [SY812: $o] :
( ~ ( ord_le994826475et_val @ SV72 @ SV196 )
| ( ord_less_eq_set_val @ ( SV72 @ SY812 ) @ ( SV196 @ SY812 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[828]) ).
thf(967,plain,
! [SV197: set_val,SV73: set_val] :
( ( ~ ( ord_less_eq_set_val @ SV73 @ SV197 )
| ( ord_less_set_val @ SV73 @ SV197 )
| ( SV73 = SV197 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[829]) ).
thf(968,plain,
! [SV198: set_val,SV74: set_val] :
( ( ! [SY813: set_val] :
( ~ ( ord_less_eq_set_val @ SV74 @ SV198 )
| ~ ( ord_less_set_val @ SV198 @ SY813 )
| ( ord_less_set_val @ SV74 @ SY813 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[830]) ).
thf(969,plain,
! [SV199: set_val,SV75: set_val] :
( ( ~ ( ord_less_eq_set_val @ SV75 @ SV199 )
| ( ( ord_less_eq_set_val @ SV199 @ SV75 )
= ( SV199 = SV75 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[831]) ).
thf(970,plain,
! [SV200: set_val,SV76: set_val] :
( ( ~ ( ord_less_eq_set_val @ ( uminus1961393973et_val @ SV76 ) @ SV200 )
| ( ord_less_eq_set_val @ ( uminus1961393973et_val @ SV200 ) @ SV76 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[832]) ).
thf(971,plain,
! [SV201: set_val,SV77: set_val > set_val] :
( ( ! [SY814: set_val] :
( ~ ( order_1719375026et_val @ SV77 )
| ~ ( ord_less_eq_set_val @ SV201 @ SY814 )
| ( ord_less_eq_set_val @ ( SV77 @ SY814 ) @ ( SV77 @ SV201 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[833]) ).
thf(972,plain,
! [SV202: set_val,SV78: set_val] :
( ( ~ ( ord_less_eq_set_val @ SV78 @ ( uminus1961393973et_val @ SV202 ) )
| ( ord_less_eq_set_val @ SV202 @ ( uminus1961393973et_val @ SV78 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[834]) ).
thf(973,plain,
! [SV203: set_val,SV79: set_val] :
( ( ! [SY815: set_val] :
( ~ ( ord_less_set_val @ SV79 @ SV203 )
| ~ ( ord_less_eq_set_val @ SV203 @ SY815 )
| ( ord_less_set_val @ SV79 @ SY815 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[835]) ).
thf(974,plain,
! [SV204: set_val,SV80: set_val] :
( ( ! [SY816: set_val,SY817: set_val] :
( ( ( set_or1554624499et_val @ SV80 @ SV204 )
= ( set_or1554624499et_val @ SY816 @ SY817 ) )
= ( ~ ( ( SV80 != SY816 )
| ( SV204 != SY817 ) )
| ~ ( ~ ~ ( ord_less_eq_set_val @ SV80 @ SV204 )
| ~ ~ ( ord_less_eq_set_val @ SY816 @ SY817 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[836]) ).
thf(975,plain,
! [SV205: set_val,SV81: set_val] :
( ( ! [SY818: set_val] :
( ~ ( ord_less_eq_set_val @ SV81 @ SV205 )
| ~ ( ord_less_eq_set_val @ SV205 @ SY818 )
| ( ord_less_eq_set_val @ SV81 @ SY818 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[837]) ).
thf(976,plain,
! [SV206: set_val] :
( ( ( ord_less_set_val @ SV206 )
= ( ^ [SY819: set_val] :
~ ( ~ ( ord_less_eq_set_val @ SV206 @ SY819 )
| ~ ( ( SV206 != SY819 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[838]) ).
thf(977,plain,
! [SV207: val > set_val,SV83: set_val] :
( ( ! [SY820: val,SY821: val] :
( ( SV83
!= ( SV207 @ SY820 ) )
| ~ ( ord_less_eq_val @ SY820 @ SY821 )
| ~ ! [SY822: val,SY823: val] :
( ~ ( ord_less_eq_val @ SY822 @ SY823 )
| ( ord_less_eq_set_val @ ( SV207 @ SY822 ) @ ( SV207 @ SY823 ) ) )
| ( ord_less_eq_set_val @ SV83 @ ( SV207 @ SY821 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[840]) ).
thf(978,plain,
! [SV208: set_val,SV84: set_val] :
( ( ! [SY824: set_val] :
( ~ ( ord_less_set_val @ SV84 @ SV208 )
| ~ ( ord_less_eq_set_val @ SV208 @ SY824 )
| ( ord_less_set_val @ SV84 @ SY824 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[841]) ).
thf(979,plain,
! [SV209: set_val,SV85: set_val] :
( ( ~ ( ord_less_eq_set_val @ SV85 @ SV209 )
| ~ ( ( SV85 != SV209 ) )
| ( ord_less_set_val @ SV85 @ SV209 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[842]) ).
thf(980,plain,
! [SV210: set_val,SV86: set_val] :
( ( ! [SY825: set_val] :
( ~ ( ord_less_eq_set_val @ SV86 @ SV210 )
| ( ord_less_eq_set_val @ SV86 @ ( sup_sup_set_val @ SV210 @ SY825 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[843]) ).
thf(981,plain,
! [SV211: set_val] :
( ( ( ord_less_set_val @ SV211 )
= ( ^ [SY826: set_val] :
~ ( ~ ( ord_less_eq_set_val @ SV211 @ SY826 )
| ~ ~ ( ord_less_eq_set_val @ SY826 @ SV211 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[844]) ).
thf(982,plain,
! [SV212: set_val,SV88: set_val] :
( ( ! [SY827: val] :
( ~ ( ord_less_eq_set_val @ SV88 @ SV212 )
| ~ ( member_val @ SY827 @ SV88 )
| ( member_val @ SY827 @ SV212 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[846]) ).
thf(983,plain,
! [SV213: set_val,SV89: set_val] :
( ( ~ ( ord_less_eq_set_val @ SV89 @ SV213 )
| ~ ( ( SV89 != SV213 ) )
| ( ord_less_set_val @ SV89 @ SV213 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[847]) ).
thf(984,plain,
! [SV214: set_set_val > set_val,SV90: set_val] :
( ( ! [SY828: set_set_val,SY829: set_set_val] :
( ~ ( ord_less_eq_set_val @ SV90 @ ( SV214 @ SY828 ) )
| ~ ( ord_le1742111550et_val @ SY828 @ SY829 )
| ~ ! [SY830: set_set_val,SY831: set_set_val] :
( ~ ( ord_le1742111550et_val @ SY830 @ SY831 )
| ( ord_less_eq_set_val @ ( SV214 @ SY830 ) @ ( SV214 @ SY831 ) ) )
| ( ord_less_eq_set_val @ SV90 @ ( SV214 @ SY829 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[848]) ).
thf(985,plain,
! [SV215: set_val,SV91: set_val] :
( ( ! [SY832: set_val] :
( ~ ( ord_less_eq_set_val @ ( sup_sup_set_val @ SV91 @ SV215 ) @ SY832 )
| ~ ( ~ ( ord_less_eq_set_val @ SV91 @ SY832 )
| ~ ( ord_less_eq_set_val @ SV215 @ SY832 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[849]) ).
thf(986,plain,
! [SV216: set_val > set_val,SV92: set_val] :
( ( ! [SY833: set_val,SY834: set_val] :
( ~ ( ord_less_set_val @ SV92 @ ( SV216 @ SY833 ) )
| ~ ( ord_less_eq_set_val @ SY833 @ SY834 )
| ~ ! [SY835: set_val,SY836: set_val] :
( ~ ( ord_less_eq_set_val @ SY835 @ SY836 )
| ( ord_less_eq_set_val @ ( SV216 @ SY835 ) @ ( SV216 @ SY836 ) ) )
| ( ord_less_set_val @ SV92 @ ( SV216 @ SY834 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[850]) ).
thf(987,plain,
! [SV217: set_val,SV93: set_val] :
( ( ~ ~ ( ord_less_set_val @ SV93 @ SV217 )
| ( ( ord_less_eq_set_val @ SV93 @ SV217 )
= ( SV93 = SV217 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[851]) ).
thf(988,plain,
! [SV218: set_val,SV94: set_val] :
( ( ! [SY837: set_val] :
( ~ ( ord_less_eq_set_val @ SV94 @ SV218 )
| ~ ( ord_less_eq_set_val @ SY837 @ SV94 )
| ( ord_less_eq_set_val @ SY837 @ SV218 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[852]) ).
thf(989,plain,
! [SV219: set_val,SV95: set_val] :
( ( ( SV95 != SV219 )
| ( ord_less_eq_set_val @ SV95 @ SV219 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[853]) ).
thf(990,plain,
! [SV220: set_val,SV96: set_val] :
( ( ~ ( ord_less_eq_set_val @ SV96 @ SV220 )
| ~ ( ord_less_eq_set_val @ SV220 @ SV96 )
| ( SV96 = SV220 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[854]) ).
thf(991,plain,
! [SV221: set_val > set_val,SV97: set_val > set_val] :
( ( ! [SY838: set_val] :
( ~ ( refine1929691018et_val @ SV97 @ SV221 )
| ( ord_less_eq_set_val @ SY838 @ ( SV221 @ ( SV97 @ SY838 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[855]) ).
thf(992,plain,
! [SV222: set_val] :
( ( ( ^ [SY839: set_val] : ( SV222 = SY839 ) )
= ( ^ [SY840: set_val] :
~ ( ~ ( ord_less_eq_set_val @ SY840 @ SV222 )
| ~ ( ord_less_eq_set_val @ SV222 @ SY840 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[856]) ).
thf(993,plain,
! [SV223: set_val,SV99: $o] :
( ( ! [SY841: set_val,SY842: set_val,SY843: set_val] :
( ~ ( ~ SV99
| ( ord_less_eq_set_val @ SV223 @ SY841 ) )
| ~ ( ~ ~ SV99
| ( ord_less_eq_set_val @ SY842 @ SY843 ) )
| ( ord_less_eq_set_val @ ( if_set_val @ SV99 @ SV223 @ SY842 ) @ ( if_set_val @ SV99 @ SY841 @ SY843 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[858]) ).
thf(994,plain,
! [SV224: set_val] :
( ( ! [SY844: set_val,SY845: set_val,SY846: set_val] :
( ~ ( ~ $true
| ( ord_less_eq_set_val @ SV224 @ SY844 ) )
| ~ ( ~ ~ $true
| ( ord_less_eq_set_val @ SY845 @ SY846 ) )
| ( ord_less_eq_set_val @ ( if_set_val @ $true @ SV224 @ SY845 ) @ ( if_set_val @ $true @ SY844 @ SY846 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[859]) ).
thf(995,plain,
! [SV225: set_val] :
( ( ! [SY847: set_val,SY848: set_val,SY849: set_val] :
( ~ ( ~ $false
| ( ord_less_eq_set_val @ SV225 @ SY847 ) )
| ~ ( ~ ~ $false
| ( ord_less_eq_set_val @ SY848 @ SY849 ) )
| ( ord_less_eq_set_val @ ( if_set_val @ $false @ SV225 @ SY848 ) @ ( if_set_val @ $false @ SY847 @ SY849 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[860]) ).
thf(996,plain,
! [SV226: set_val] :
( ( ( ord_less_eq_set_val @ SV226 )
= ( ^ [SY850: set_val] :
! [SY851: val] :
( ~ ( member_val @ SY851 @ SV226 )
| ( member_val @ SY851 @ SY850 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[861]) ).
thf(997,plain,
! [SV227: set_val > set_val,SV101: set_val] :
( ( ! [SY852: set_val,SY853: set_val] :
( ~ ( ord_less_eq_set_val @ SV101 @ ( SV227 @ SY852 ) )
| ~ ( ord_less_eq_set_val @ SY852 @ SY853 )
| ~ ! [SY854: set_val,SY855: set_val] :
( ~ ( ord_less_eq_set_val @ SY854 @ SY855 )
| ( ord_less_eq_set_val @ ( SV227 @ SY854 ) @ ( SV227 @ SY855 ) ) )
| ( ord_less_eq_set_val @ SV101 @ ( SV227 @ SY853 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[863]) ).
thf(998,plain,
! [SV228: set_val,SV102: set_val] :
( ( ~ ( ord_less_eq_set_val @ SV102 @ SV228 )
| ( ord_less_eq_set_val @ ( uminus1961393973et_val @ SV228 ) @ ( uminus1961393973et_val @ SV102 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[864]) ).
thf(999,plain,
! [SV229: set_val,SV103: set_val] :
( ( ~ ( ord_less_eq_set_val @ SV103 @ SV229 )
| ~ ( ord_less_eq_set_val @ SV229 @ SV103 )
| ( SV229 = SV103 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[865]) ).
thf(1000,plain,
! [SV230: set_val,SV104: set_val] :
( ( ~ ( ord_less_eq_set_val @ SV104 @ SV230 )
| ~ ( ord_less_eq_set_val @ SV230 @ SV104 )
| ( SV104 = SV230 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[866]) ).
thf(1001,plain,
! [SV231: set_val,SV105: set_val] :
( ( ~ ( ord_less_eq_set_val @ SV105 @ SV231 )
| ~ ( ord_less_set_val @ SV231 @ SV105 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[867]) ).
thf(1002,plain,
! [SV232: set_val > set_val] :
( ( ( order_1719375026et_val @ SV232 )
= ( ! [SY856: set_val,SY857: set_val] :
( ~ ( ord_less_eq_set_val @ SY856 @ SY857 )
| ( ord_less_eq_set_val @ ( SV232 @ SY857 ) @ ( SV232 @ SY856 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[868]) ).
thf(1003,plain,
! [SV233: set_val,SV107: set_val] :
( ( ~ ( ord_less_set_val @ SV107 @ SV233 )
| ( ord_less_eq_set_val @ SV107 @ SV233 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[870]) ).
thf(1004,plain,
! [SV234: set_val > val,SV108: val] :
( ( ! [SY858: set_val,SY859: set_val] :
( ( SV108
!= ( SV234 @ SY858 ) )
| ~ ( ord_less_eq_set_val @ SY858 @ SY859 )
| ~ ! [SY860: set_val,SY861: set_val] :
( ~ ( ord_less_eq_set_val @ SY860 @ SY861 )
| ( ord_less_eq_val @ ( SV234 @ SY860 ) @ ( SV234 @ SY861 ) ) )
| ( ord_less_eq_val @ SV108 @ ( SV234 @ SY859 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[871]) ).
thf(1005,plain,
! [SV235: set_val,SV109: set_val] :
( ( ! [SY862: set_val > val,SY863: val] :
( ~ ( ord_less_eq_set_val @ SV109 @ SV235 )
| ~ ( ord_less_eq_val @ ( SY862 @ SV235 ) @ SY863 )
| ~ ! [SX4: set_val,SX5: set_val] :
( ~ ( ord_less_eq_set_val @ SX4 @ SX5 )
| ( ord_less_eq_val @ ( SY862 @ SX4 ) @ ( SY862 @ SX5 ) ) )
| ( ord_less_eq_val @ ( SY862 @ SV109 ) @ SY863 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[872]) ).
thf(1006,plain,
! [SV236: set_set_val,SV110: set_set_val] :
( ( ! [SY866: set_set_val > set_val,SY867: set_val] :
( ~ ( ord_le1742111550et_val @ SV110 @ SV236 )
| ( ( SY866 @ SV236 )
!= SY867 )
| ~ ! [SX4: set_set_val,SX5: set_set_val] :
( ~ ( ord_le1742111550et_val @ SX4 @ SX5 )
| ( ord_less_eq_set_val @ ( SY866 @ SX4 ) @ ( SY866 @ SX5 ) ) )
| ( ord_less_eq_set_val @ ( SY866 @ SV110 ) @ SY867 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[873]) ).
thf(1007,plain,
! [SV237: set_val,SV111: set_val > set_val] :
( ( ! [SY870: set_val] :
( ~ ( order_1719375026et_val @ SV111 )
| ~ ( ord_less_eq_set_val @ SV237 @ SY870 )
| ( ord_less_eq_set_val @ ( SV111 @ SY870 ) @ ( SV111 @ SV237 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[874]) ).
thf(1008,plain,
! [SV238: set_val,SV112: $o] :
( ( ! [SY871: set_val,SY872: set_val] :
( ~ ( ~ SV112
| ( ord_less_eq_set_val @ SV238 @ SY871 ) )
| ~ ( ~ ~ SV112
| ( ord_less_eq_set_val @ SY872 @ SY871 ) )
| ( ord_less_eq_set_val @ ( if_set_val @ SV112 @ SV238 @ SY872 ) @ SY871 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[875]) ).
thf(1009,plain,
! [SV239: set_val] :
( ( ! [SY873: set_val,SY874: set_val] :
( ~ ( ~ $true
| ( ord_less_eq_set_val @ SV239 @ SY873 ) )
| ~ ( ~ ~ $true
| ( ord_less_eq_set_val @ SY874 @ SY873 ) )
| ( ord_less_eq_set_val @ ( if_set_val @ $true @ SV239 @ SY874 ) @ SY873 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[876]) ).
thf(1010,plain,
! [SV240: set_val] :
( ( ! [SY875: set_val,SY876: set_val] :
( ~ ( ~ $false
| ( ord_less_eq_set_val @ SV240 @ SY875 ) )
| ~ ( ~ ~ $false
| ( ord_less_eq_set_val @ SY876 @ SY875 ) )
| ( ord_less_eq_set_val @ ( if_set_val @ $false @ SV240 @ SY876 ) @ SY875 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[877]) ).
thf(1011,plain,
! [SV241: set_val > set_val,SV113: set_val] :
( ( ! [SY877: set_val,SY878: set_val] :
( ( SV113
!= ( SV241 @ SY877 ) )
| ~ ( ord_less_eq_set_val @ SY877 @ SY878 )
| ~ ! [SY879: set_val,SY880: set_val] :
( ~ ( ord_less_eq_set_val @ SY879 @ SY880 )
| ( ord_less_eq_set_val @ ( SV241 @ SY879 ) @ ( SV241 @ SY880 ) ) )
| ( ord_less_eq_set_val @ SV113 @ ( SV241 @ SY878 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[878]) ).
thf(1012,plain,
! [SV242: set_val,SV114: set_val] :
( ( ~ ( ord_less_set_val @ SV114 @ SV242 )
| ( ord_less_eq_set_val @ SV114 @ SV242 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[879]) ).
thf(1013,plain,
! [SV243: set_val,SV115: set_val > $o] :
( ( ! [SY881: set_val > $o] :
( ~ ( SV115 @ SV243 )
| ~ ! [SY882: set_val] :
( ~ ( SV115 @ SY882 )
| ( ord_less_eq_set_val @ SY882 @ SV243 ) )
| ~ ! [SY676: set_val] :
( ~ ( SV115 @ SY676 )
| ~ ! [SY677: set_val] :
( ~ ( SV115 @ SY677 )
| ( ord_less_eq_set_val @ SY677 @ SY676 ) )
| ( SY881 @ SY676 ) )
| ( SY881 @ ( order_1960465943et_val @ SV115 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[880]) ).
thf(1014,plain,
! [SV244: set_val] :
( ( ( ord_less_set_val @ SV244 )
= ( ^ [SY885: set_val] :
~ ( ~ ( ord_less_eq_set_val @ SV244 @ SY885 )
| ~ ( ( SY885 != SV244 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[881]) ).
thf(1015,plain,
! [SV245: set_val,SV117: set_val] :
( ( ! [SY886: set_val] :
( ( ord_less_eq_set_val @ ( sup_sup_set_val @ SV117 @ SV245 ) @ SY886 )
= ( ~ ( ~ ( ord_less_eq_set_val @ SV117 @ SY886 )
| ~ ( ord_less_eq_set_val @ SV245 @ SY886 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[883]) ).
thf(1016,plain,
! [SV246: set_val > set_val,SV118: set_val > set_val] :
( ( ~ ! [SY887: set_val,SY888: set_val] :
( ( ord_less_eq_set_val @ SY887 @ ( SV118 @ SY888 ) )
= ( ord_less_eq_set_val @ ( SV246 @ SY887 ) @ SY888 ) )
| ( refine1929691018et_val @ SV246 @ SV118 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[884]) ).
thf(1017,plain,
! [SV247: set_val,SV119: set_val] :
( ( ~ ( ord_less_set_val @ SV119 @ SV247 )
| ( ord_less_eq_set_val @ SV119 @ SV247 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[885]) ).
thf(1018,plain,
! [SV248: set_val,SV120: set_val] :
( ( ~ ( ord_less_eq_set_val @ SV120 @ SV248 )
| ( ( sup_sup_set_val @ SV120 @ SV248 )
= SV248 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[886]) ).
thf(1019,plain,
! [SV249: set_val,SV121: set_val] :
( ( ! [SY889: set_val] :
( ~ ( ord_less_set_val @ SV121 @ SV249 )
| ~ ( ord_less_eq_set_val @ SV249 @ SY889 )
| ( ord_less_set_val @ SV121 @ SY889 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[887]) ).
thf(1020,plain,
! [SV250: set_val > set_val,SV122: set_val > set_val] :
( ( ! [SY890: set_val] :
( ~ ( refine1929691018et_val @ SV122 @ SV250 )
| ( ord_less_eq_set_val @ ( SV122 @ ( SV250 @ SY890 ) ) @ SY890 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[888]) ).
thf(1021,plain,
! [SV251: set_val,SV123: set_val] :
( ( ! [SY891: set_val] :
( ( SV123 != SV251 )
| ~ ( ord_less_eq_set_val @ SV251 @ SY891 )
| ( ord_less_eq_set_val @ SV123 @ SY891 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[889]) ).
thf(1022,plain,
! [SV252: set_val,SV124: set_val] :
( ( ~ ( ord_less_eq_set_val @ SV124 @ SV252 )
| ( ( sup_sup_set_val @ SV124 @ SV252 )
= SV252 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[890]) ).
thf(1023,plain,
! [SV253: set_val > set_val,SV125: set_val > set_val] :
( ( ! [SY892: set_val,SY893: set_val] :
( ~ ( refine1929691018et_val @ SV125 @ SV253 )
| ( ( ord_less_eq_set_val @ SY892 @ ( SV253 @ SY893 ) )
= ( ord_less_eq_set_val @ ( SV125 @ SY892 ) @ SY893 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[891]) ).
thf(1024,plain,
! [SV254: $o > set_val,SV126: $o > set_val] :
( ( ~ ! [SY894: $o] : ( ord_less_eq_set_val @ ( SV126 @ SY894 ) @ ( SV254 @ SY894 ) )
| ( ord_le994826475et_val @ SV126 @ SV254 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[892]) ).
thf(1025,plain,
! [SV255: set_val,SV127: set_val] :
( ( ( SV127
!= ( sup_sup_set_val @ SV127 @ SV255 ) )
| ( ord_less_eq_set_val @ SV255 @ SV127 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[893]) ).
thf(1026,plain,
! [SV128: set_val > set_val] :
( ( ( ~ ! [SY699: set_val,SY700: set_val] :
( ~ ( ord_less_eq_set_val @ SY699 @ SY700 )
| ( ord_less_eq_set_val @ ( SV128 @ SY700 ) @ ( SV128 @ SY699 ) ) ) )
= $true )
| ( ( order_1719375026et_val @ SV128 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[894]) ).
thf(1027,plain,
! [SV256: set_val,SV129: set_val] :
( ( ! [SY895: set_val] :
( ~ ( ord_less_set_val @ SV129 @ SV256 )
| ~ ( ord_less_eq_set_val @ SY895 @ SV129 )
| ( ord_less_set_val @ SY895 @ SV256 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[895]) ).
thf(1028,plain,
! [SV130: $o > set_val] :
( ( ! [SV257: $o > set_val] :
( ( ord_le994826475et_val @ SV130 @ SV257 )
= ( ! [SY896: $o] : ( ord_less_eq_set_val @ ( SV130 @ SY896 ) @ ( SV257 @ SY896 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[896]) ).
thf(1029,plain,
! [SV130: $o > set_val] :
( ( ( ord_le994826475et_val @ SV130 )
= ( ^ [SY703: $o > set_val] :
! [SY704: $o] : ( ord_less_eq_set_val @ ( SV130 @ SY704 ) @ ( SY703 @ SY704 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[896]) ).
thf(1030,plain,
! [SV131: set_val > set_val] :
( ( ! [SV258: set_val > set_val] :
( ( refine1929691018et_val @ SV131 @ SV258 )
= ( ! [SY897: set_val,SY898: set_val] :
( ( ord_less_eq_set_val @ SY897 @ ( SV258 @ SY898 ) )
= ( ord_less_eq_set_val @ ( SV131 @ SY897 ) @ SY898 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[897]) ).
thf(1031,plain,
! [SV131: set_val > set_val] :
( ( ( refine1929691018et_val @ SV131 )
= ( ^ [SY705: set_val > set_val] :
! [SY706: set_val,SY707: set_val] :
( ( ord_less_eq_set_val @ SY706 @ ( SY705 @ SY707 ) )
= ( ord_less_eq_set_val @ ( SV131 @ SY706 ) @ SY707 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[897]) ).
thf(1032,plain,
! [SV132: set_val,SV6: set_val] :
( ( ~ ( ( ord_less_eq_set_val @ ( uminus1961393973et_val @ SV6 ) @ ( uminus1961393973et_val @ SV132 ) )
| ( ord_less_eq_set_val @ SV132 @ SV6 ) )
| ~ ( ~ ( ord_less_eq_set_val @ ( uminus1961393973et_val @ SV6 ) @ ( uminus1961393973et_val @ SV132 ) )
| ~ ( ord_less_eq_set_val @ SV132 @ SV6 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[898]) ).
thf(1033,plain,
! [SV132: set_val,SV6: set_val] :
( ( ( ord_less_eq_set_val @ ( uminus1961393973et_val @ SV6 ) @ ( uminus1961393973et_val @ SV132 ) )
= ( ord_less_eq_set_val @ SV132 @ SV6 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[898]) ).
thf(1034,plain,
! [SV133: set_val] :
( ( ! [SV259: set_val] :
( ( ord_less_eq_set_val @ SV133 @ SV259 )
= ( ( ord_less_set_val @ SV133 @ SV259 )
| ( SV133 = SV259 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[899]) ).
thf(1035,plain,
! [SV133: set_val] :
( ( ( ord_less_eq_set_val @ SV133 )
= ( ^ [SY708: set_val] :
( ( ord_less_set_val @ SV133 @ SY708 )
| ( SV133 = SY708 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[899]) ).
thf(1036,plain,
! [SV134: set_val] :
( ( ! [SV260: set_val] :
( ( ord_less_eq_set_val @ SV134 @ SV260 )
= ( ( ord_less_set_val @ SV134 @ SV260 )
| ( SV134 = SV260 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[900]) ).
thf(1037,plain,
! [SV134: set_val] :
( ( ( ord_less_eq_set_val @ SV134 )
= ( ^ [SY709: set_val] :
( ( ord_less_set_val @ SV134 @ SY709 )
| ( SV134 = SY709 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[900]) ).
thf(1038,plain,
! [SV135: set_val] :
( ( ! [SV261: set_val] :
( ( ord_less_eq_set_val @ SV135 @ SV261 )
= ( ( ord_less_set_val @ SV135 @ SV261 )
| ( SV261 = SV135 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[901]) ).
thf(1039,plain,
! [SV135: set_val] :
( ( ( ord_less_eq_set_val @ SV135 )
= ( ^ [SY710: set_val] :
( ( ord_less_set_val @ SV135 @ SY710 )
| ( SY710 = SV135 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[901]) ).
thf(1040,plain,
! [SV136: set_val] :
( ( ! [SV262: set_val] :
( ( ord_less_eq_set_val @ SV136 @ SV262 )
= ( ( ord_less_set_val @ SV136 @ SV262 )
| ( SV136 = SV262 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[902]) ).
thf(1041,plain,
! [SV136: set_val] :
( ( ( ord_less_eq_set_val @ SV136 )
= ( ^ [SY711: set_val] :
( ( ord_less_set_val @ SV136 @ SY711 )
| ( SV136 = SY711 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[902]) ).
thf(1042,plain,
! [SV137: set_val,SV11: set_val] :
( ( ~ ( ( ord_less_eq_set_val @ ( uminus1961393973et_val @ SV11 ) @ ( uminus1961393973et_val @ SV137 ) )
| ( ord_less_eq_set_val @ SV137 @ SV11 ) )
| ~ ( ~ ( ord_less_eq_set_val @ ( uminus1961393973et_val @ SV11 ) @ ( uminus1961393973et_val @ SV137 ) )
| ~ ( ord_less_eq_set_val @ SV137 @ SV11 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[903]) ).
thf(1043,plain,
! [SV137: set_val,SV11: set_val] :
( ( ( ord_less_eq_set_val @ ( uminus1961393973et_val @ SV11 ) @ ( uminus1961393973et_val @ SV137 ) )
= ( ord_less_eq_set_val @ SV137 @ SV11 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[903]) ).
thf(1044,plain,
! [SV138: set_val] :
( ( ! [SV263: set_val] :
( ( ord_less_eq_set_val @ SV138 @ SV263 )
= ( ( sup_sup_set_val @ SV138 @ SV263 )
= SV263 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[904]) ).
thf(1045,plain,
! [SV138: set_val] :
( ( ( ord_less_eq_set_val @ SV138 )
= ( ^ [SY712: set_val] :
( ( sup_sup_set_val @ SV138 @ SY712 )
= SY712 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[904]) ).
thf(1046,plain,
! [SV139: set_val] :
( ( ! [SV264: set_val] :
( ( ord_less_eq_set_val @ SV139 @ SV264 )
= ( ( sup_sup_set_val @ SV264 @ SV139 )
= SV264 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[905]) ).
thf(1047,plain,
! [SV139: set_val] :
( ( ( ord_less_eq_set_val @ SV139 )
= ( ^ [SY713: set_val] :
( ( sup_sup_set_val @ SY713 @ SV139 )
= SY713 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[905]) ).
thf(1048,plain,
! [SV142: set_val] :
( ( ! [SV265: set_val] :
( ( ord_less_eq_set_val @ SV142 @ SV265 )
= ( SV265
= ( sup_sup_set_val @ SV265 @ SV142 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[908]) ).
thf(1049,plain,
! [SV142: set_val] :
( ( ( ord_less_eq_set_val @ SV142 )
= ( ^ [SY714: set_val] :
( SY714
= ( sup_sup_set_val @ SY714 @ SV142 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[908]) ).
thf(1050,plain,
! [SV17: $o] :
( ( ( ~ ( SV17
| $true )
| ~ ( ~ SV17
| ~ $true ) )
= $true )
| ( ( SV17 = $false )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[909]) ).
thf(1051,plain,
! [SV17: $o] :
( ( ( SV17 = $true )
= $true )
| ( ( SV17 = $false )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[909]) ).
thf(1052,plain,
( ( ( ~ ( $true
| $true )
| ~ ( ~ $true
| ~ $true ) )
= $true )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[910]) ).
thf(1053,plain,
( ( ( $true = $true )
= $true )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[910]) ).
thf(1054,plain,
( ( ( ~ ( $false
| $true )
| ~ ( ~ $false
| ~ $true ) )
= $true )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[911]) ).
thf(1055,plain,
( ( ( $false = $true )
= $true )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[911]) ).
thf(1056,plain,
! [SV143: set_val,SV18: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV18 @ SV143 ) )
= $true )
| ( ( ( sup_sup_set_val @ SV143 @ SV18 )
= SV143 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[912]) ).
thf(1057,plain,
! [SV266: set_val,SV144: set_val,SV19: set_val > set_val > set_val] :
( ( ~ ! [SY437: set_val,SY438: set_val] : ( ord_less_eq_set_val @ SY437 @ ( SV19 @ SY437 @ SY438 ) )
| ~ ! [SY439: set_val,SY440: set_val] : ( ord_less_eq_set_val @ SY440 @ ( SV19 @ SY439 @ SY440 ) )
| ~ ! [SY441: set_val,SY442: set_val,SY443: set_val] :
( ~ ( ord_less_eq_set_val @ SY442 @ SY441 )
| ~ ( ord_less_eq_set_val @ SY443 @ SY441 )
| ( ord_less_eq_set_val @ ( SV19 @ SY442 @ SY443 ) @ SY441 ) )
| ( ( sup_sup_set_val @ SV144 @ SV266 )
= ( SV19 @ SV144 @ SV266 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[913]) ).
thf(1058,plain,
! [SV145: set_val,SV20: set_val] :
( ( ( ~ ( ord_less_set_val @ SV20 @ SV145 ) )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_set_val @ SV20 @ SV145 )
| ( ord_less_eq_set_val @ SV145 @ SV20 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[914]) ).
thf(1059,plain,
! [SV267: set_val,SV146: set_val,SV21: set_val] :
( ( ~ ( ord_less_eq_set_val @ SV21 @ SV146 )
| ~ ( ord_less_eq_set_val @ SV146 @ SV267 )
| ( ord_less_eq_set_val @ SV21 @ SV267 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[915]) ).
thf(1060,plain,
! [SV268: val,SV147: val > set_val,SV22: set_val] :
( ( ! [SY906: val] :
( ~ ( ord_less_eq_set_val @ SV22 @ ( SV147 @ SV268 ) )
| ~ ( ord_less_eq_val @ SV268 @ SY906 )
| ~ ! [SY726: val,SY727: val] :
( ~ ( ord_less_eq_val @ SY726 @ SY727 )
| ( ord_less_eq_set_val @ ( SV147 @ SY726 ) @ ( SV147 @ SY727 ) ) )
| ( ord_less_eq_set_val @ SV22 @ ( SV147 @ SY906 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[916]) ).
thf(1061,plain,
! [SV23: val] :
( ( ( member_val @ SV23 @ scc )
= $false )
| ( ( member_val @ SV23 @ p )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[917]) ).
thf(1062,plain,
! [SV269: set_val > set_set_val,SV148: set_val,SV24: set_val] :
( ( ! [SY909: set_set_val] :
( ~ ( ord_less_eq_set_val @ SV24 @ SV148 )
| ~ ( ord_le1742111550et_val @ ( SV269 @ SV148 ) @ SY909 )
| ~ ! [SY910: set_val,SY911: set_val] :
( ~ ( ord_less_eq_set_val @ SY910 @ SY911 )
| ( ord_le1742111550et_val @ ( SV269 @ SY910 ) @ ( SV269 @ SY911 ) ) )
| ( ord_le1742111550et_val @ ( SV269 @ SV24 ) @ SY909 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[918]) ).
thf(1063,plain,
! [SV149: set_val] :
( ( ! [SV270: set_val] :
( ( ord_less_set_val @ SV149 @ SV270 )
= ( ~ ( ~ ( ord_less_eq_set_val @ SV149 @ SV270 )
| ~ ( ( SV149 != SV270 ) ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[919]) ).
thf(1064,plain,
! [SV149: set_val] :
( ( ( ord_less_set_val @ SV149 )
= ( ^ [SY732: set_val] :
~ ( ~ ( ord_less_eq_set_val @ SV149 @ SY732 )
| ~ ( ( SV149 != SY732 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[919]) ).
thf(1065,plain,
! [SV150: set_val] :
( ( ! [SV271: set_val] :
( ( SV150 = SV271 )
= ( ~ ( ~ ( ord_less_eq_set_val @ SV150 @ SV271 )
| ~ ( ord_less_eq_set_val @ SV271 @ SV150 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[920]) ).
thf(1066,plain,
! [SV150: set_val] :
( ( ( ^ [SY733: set_val] : ( SV150 = SY733 ) )
= ( ^ [SY734: set_val] :
~ ( ~ ( ord_less_eq_set_val @ SV150 @ SY734 )
| ~ ( ord_less_eq_set_val @ SY734 @ SV150 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[920]) ).
thf(1067,plain,
! [SV272: set_val,SV151: set_val > set_set_val,SV27: set_set_val] :
( ( ! [SY912: set_val] :
( ~ ( ord_le1742111550et_val @ SV27 @ ( SV151 @ SV272 ) )
| ~ ( ord_less_eq_set_val @ SV272 @ SY912 )
| ~ ! [SY737: set_val,SY738: set_val] :
( ~ ( ord_less_eq_set_val @ SY737 @ SY738 )
| ( ord_le1742111550et_val @ ( SV151 @ SY737 ) @ ( SV151 @ SY738 ) ) )
| ( ord_le1742111550et_val @ SV27 @ ( SV151 @ SY912 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[921]) ).
thf(1068,plain,
! [SV152: set_val] :
( ( ! [SV273: set_val] :
( ( ord_less_set_val @ SV152 @ SV273 )
= ( ~ ( ~ ( ord_less_eq_set_val @ SV152 @ SV273 )
| ~ ~ ( ord_less_eq_set_val @ SV273 @ SV152 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[922]) ).
thf(1069,plain,
! [SV152: set_val] :
( ( ( ord_less_set_val @ SV152 )
= ( ^ [SY739: set_val] :
~ ( ~ ( ord_less_eq_set_val @ SV152 @ SY739 )
| ~ ~ ( ord_less_eq_set_val @ SY739 @ SV152 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[922]) ).
thf(1070,plain,
! [SV153: set_val] :
( ( ! [SV274: set_val] :
( ( ord_less_set_val @ SV153 @ SV274 )
= ( ~ ( ~ ( ord_less_eq_set_val @ SV153 @ SV274 )
| ~ ( ( SV153 != SV274 ) ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[923]) ).
thf(1071,plain,
! [SV153: set_val] :
( ( ( ord_less_set_val @ SV153 )
= ( ^ [SY740: set_val] :
~ ( ~ ( ord_less_eq_set_val @ SV153 @ SY740 )
| ~ ( ( SV153 != SY740 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[923]) ).
thf(1072,plain,
! [SV154: set_val,SV30: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV30 @ SV154 ) )
= $true )
| ( ( ( sup_sup_set_val @ SV154 @ SV30 )
= SV154 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[924]) ).
thf(1073,plain,
! [SV155: set_val,SV31: set_val] :
( ( ( SV31 != SV155 )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_set_val @ SV31 @ SV155 )
| ~ ( ord_less_eq_set_val @ SV155 @ SV31 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[925]) ).
thf(1074,plain,
! [SV275: set_val,SV156: set_val,SV32: set_val] :
( ( ( ord_less_eq_set_val @ ( sup_sup_set_val @ SV32 @ SV156 ) @ SV275 )
= ( ~ ( ~ ( ord_less_eq_set_val @ SV32 @ SV275 )
| ~ ( ord_less_eq_set_val @ SV156 @ SV275 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[926]) ).
thf(1075,plain,
! [SV276: set_val,SV157: set_val > val,SV33: val] :
( ( ! [SY915: set_val] :
( ~ ( ord_less_eq_val @ SV33 @ ( SV157 @ SV276 ) )
| ~ ( ord_less_eq_set_val @ SV276 @ SY915 )
| ~ ! [SY744: set_val,SY745: set_val] :
( ~ ( ord_less_eq_set_val @ SY744 @ SY745 )
| ( ord_less_eq_val @ ( SV157 @ SY744 ) @ ( SV157 @ SY745 ) ) )
| ( ord_less_eq_val @ SV33 @ ( SV157 @ SY915 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[927]) ).
thf(1076,plain,
! [SV158: set_val,SV34: set_val] :
( ( ( SV34 != SV158 )
= $true )
| ( ( ord_less_eq_set_val @ SV34 @ SV158 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[928]) ).
thf(1077,plain,
! [SV277: set_val,SV159: set_val,SV35: set_val] :
( ( ( ord_less_eq_set_val @ ( sup_sup_set_val @ SV35 @ SV159 ) @ SV277 )
= ( ~ ( ~ ( ord_less_eq_set_val @ SV35 @ SV277 )
| ~ ( ord_less_eq_set_val @ SV159 @ SV277 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[929]) ).
thf(1078,plain,
! [SV278: set_val > set_set_val,SV160: set_val,SV36: set_val] :
( ( ! [SY918: set_set_val] :
( ~ ( ord_less_eq_set_val @ SV36 @ SV160 )
| ( ( SV278 @ SV160 )
!= SY918 )
| ~ ! [SY919: set_val,SY920: set_val] :
( ~ ( ord_less_eq_set_val @ SY919 @ SY920 )
| ( ord_le1742111550et_val @ ( SV278 @ SY919 ) @ ( SV278 @ SY920 ) ) )
| ( ord_le1742111550et_val @ ( SV278 @ SV36 ) @ SY918 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[930]) ).
thf(1079,plain,
! [SV161: set_val,SV37: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV37 @ SV161 ) )
= $true )
| ( ( ord_less_eq_set_val @ ( uminus1961393973et_val @ SV161 ) @ ( uminus1961393973et_val @ SV37 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[931]) ).
thf(1080,plain,
! [SV279: val > set_val,SV162: val,SV38: val] :
( ( ! [SY921: set_val] :
( ~ ( ord_less_eq_val @ SV38 @ SV162 )
| ( ( SV279 @ SV162 )
!= SY921 )
| ~ ! [SY922: val,SY923: val] :
( ~ ( ord_less_eq_val @ SY922 @ SY923 )
| ( ord_less_eq_set_val @ ( SV279 @ SY922 ) @ ( SV279 @ SY923 ) ) )
| ( ord_less_eq_set_val @ ( SV279 @ SV38 ) @ SY921 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[932]) ).
thf(1081,plain,
! [SV280: set_val,SV163: set_val,SV39: set_val] :
( ( ~ ( ord_less_eq_set_val @ SV39 @ SV163 )
| ( ord_less_eq_set_val @ SV39 @ ( sup_sup_set_val @ SV280 @ SV163 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[933]) ).
thf(1082,plain,
! [SV164: set_val,SV40: set_val] :
( ( ( SV40 != SV164 )
= $true )
| ( ( ord_less_eq_set_val @ SV164 @ SV40 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[934]) ).
thf(1083,plain,
! [SV281: $o,SV165: $o > set_val,SV41: $o > set_val] :
( ( ~ ( ord_le994826475et_val @ SV41 @ SV165 )
| ( ord_less_eq_set_val @ ( SV41 @ SV281 ) @ ( SV165 @ SV281 ) ) )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[935]) ).
thf(1084,plain,
! [SV165: $o > set_val,SV41: $o > set_val] :
( ( ~ ( ord_le994826475et_val @ SV41 @ SV165 )
| ( ord_less_eq_set_val @ ( SV41 @ $true ) @ ( SV165 @ $true ) ) )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[935]) ).
thf(1085,plain,
! [SV165: $o > set_val,SV41: $o > set_val] :
( ( ~ ( ord_le994826475et_val @ SV41 @ SV165 )
| ( ord_less_eq_set_val @ ( SV41 @ $false ) @ ( SV165 @ $false ) ) )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[935]) ).
thf(1086,plain,
! [SV282: set_val > set_val,SV166: set_val,SV42: set_val] :
( ( ! [SY924: set_val] :
( ~ ( ord_less_eq_set_val @ SV42 @ SV166 )
| ~ ( ord_less_eq_set_val @ ( SV282 @ SV166 ) @ SY924 )
| ~ ! [SY925: set_val,SY926: set_val] :
( ~ ( ord_less_eq_set_val @ SY925 @ SY926 )
| ( ord_less_eq_set_val @ ( SV282 @ SY925 ) @ ( SV282 @ SY926 ) ) )
| ( ord_less_eq_set_val @ ( SV282 @ SV42 ) @ SY924 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[936]) ).
thf(1087,plain,
! [SV167: set_val] :
( ( ! [SV283: set_val] :
( ( SV167 = SV283 )
= ( ~ ( ~ ( ord_less_eq_set_val @ SV167 @ SV283 )
| ~ ( ord_less_eq_set_val @ SV283 @ SV167 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[937]) ).
thf(1088,plain,
! [SV167: set_val] :
( ( ( ^ [SY761: set_val] : ( SV167 = SY761 ) )
= ( ^ [SY762: set_val] :
~ ( ~ ( ord_less_eq_set_val @ SV167 @ SY762 )
| ~ ( ord_less_eq_set_val @ SY762 @ SV167 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[937]) ).
thf(1089,plain,
! [SV168: val > $o,SV44: val > $o] :
( ( ~ ( ( ord_less_eq_set_val @ ( collect_val @ SV44 ) @ ( collect_val @ SV168 ) )
| ! [SY763: val] :
( ~ ( SV44 @ SY763 )
| ( SV168 @ SY763 ) ) )
| ~ ( ~ ( ord_less_eq_set_val @ ( collect_val @ SV44 ) @ ( collect_val @ SV168 ) )
| ~ ! [SY763: val] :
( ~ ( SV44 @ SY763 )
| ( SV168 @ SY763 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[938]) ).
thf(1090,plain,
! [SV168: val > $o,SV44: val > $o] :
( ( ( ord_less_eq_set_val @ ( collect_val @ SV44 ) @ ( collect_val @ SV168 ) )
= ( ! [SY763: val] :
( ~ ( SV44 @ SY763 )
| ( SV168 @ SY763 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[938]) ).
thf(1091,plain,
! [SV284: set_val,SV169: set_val > set_set_val,SV45: set_set_val] :
( ( ! [SY927: set_val] :
( ( SV45
!= ( SV169 @ SV284 ) )
| ~ ( ord_less_eq_set_val @ SV284 @ SY927 )
| ~ ! [SY766: set_val,SY767: set_val] :
( ~ ( ord_less_eq_set_val @ SY766 @ SY767 )
| ( ord_le1742111550et_val @ ( SV169 @ SY766 ) @ ( SV169 @ SY767 ) ) )
| ( ord_le1742111550et_val @ SV45 @ ( SV169 @ SY927 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[939]) ).
thf(1092,plain,
! [SV285: set_set_val > set_val,SV170: set_set_val,SV46: set_set_val] :
( ( ! [SY930: set_val] :
( ~ ( ord_le1742111550et_val @ SV46 @ SV170 )
| ~ ( ord_less_eq_set_val @ ( SV285 @ SV170 ) @ SY930 )
| ~ ! [SY931: set_set_val,SY932: set_set_val] :
( ~ ( ord_le1742111550et_val @ SY931 @ SY932 )
| ( ord_less_eq_set_val @ ( SV285 @ SY931 ) @ ( SV285 @ SY932 ) ) )
| ( ord_less_eq_set_val @ ( SV285 @ SV46 ) @ SY930 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[940]) ).
thf(1093,plain,
! [SV171: set_val,SV47: set_val] :
( ( ( ~ ( ord_less_set_val @ SV47 @ SV171 ) )
= $true )
| ( ( ord_less_eq_set_val @ SV47 @ SV171 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[941]) ).
thf(1094,plain,
! [SV286: set_val,SV172: set_val,SV48: set_val] :
( ( ! [SY933: set_val] :
( ( SV48 != SV172 )
| ~ ( ord_less_eq_set_val @ SV172 @ SV286 )
| ( SV286 != SY933 )
| ( ord_less_eq_set_val @ SV48 @ SY933 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[942]) ).
thf(1095,plain,
! [SV287: set_set_val,SV173: set_set_val > set_val,SV49: set_val] :
( ( ! [SY934: set_set_val] :
( ( SV49
!= ( SV173 @ SV287 ) )
| ~ ( ord_le1742111550et_val @ SV287 @ SY934 )
| ~ ! [SY776: set_set_val,SY777: set_set_val] :
( ~ ( ord_le1742111550et_val @ SY776 @ SY777 )
| ( ord_less_eq_set_val @ ( SV173 @ SY776 ) @ ( SV173 @ SY777 ) ) )
| ( ord_less_eq_set_val @ SV49 @ ( SV173 @ SY934 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[943]) ).
thf(1096,plain,
! [SV288: set_val,SV174: set_val,SV50: set_val] :
( ( ~ ( ord_less_eq_set_val @ SV50 @ SV174 )
| ~ ( ord_less_eq_set_val @ SV174 @ SV288 )
| ( ord_less_eq_set_val @ SV50 @ SV288 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[944]) ).
thf(1097,plain,
! [SV175: set_val] :
( ( ! [SV289: set_val] :
( ( ord_less_eq_set_val @ SV175 @ SV289 )
= ( ! [SY937: val] :
( ~ ( member_val @ SY937 @ SV175 )
| ( member_val @ SY937 @ SV289 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[945]) ).
thf(1098,plain,
! [SV175: set_val] :
( ( ( ord_less_eq_set_val @ SV175 )
= ( ^ [SY779: set_val] :
! [SY780: val] :
( ~ ( member_val @ SY780 @ SV175 )
| ( member_val @ SY780 @ SY779 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[945]) ).
thf(1099,plain,
! [SV176: set_val,SV52: set_val] :
( ( ( ~ ! [SY781: val] :
( ~ ( member_val @ SY781 @ SV52 )
| ( member_val @ SY781 @ SV176 ) ) )
= $true )
| ( ( ord_less_eq_set_val @ SV52 @ SV176 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[946]) ).
thf(1100,plain,
! [SV290: val > set_val,SV177: val,SV53: val] :
( ( ! [SY938: set_val] :
( ~ ( ord_less_eq_val @ SV53 @ SV177 )
| ~ ( ord_less_eq_set_val @ ( SV290 @ SV177 ) @ SY938 )
| ~ ! [SY939: val,SY940: val] :
( ~ ( ord_less_eq_val @ SY939 @ SY940 )
| ( ord_less_eq_set_val @ ( SV290 @ SY939 ) @ ( SV290 @ SY940 ) ) )
| ( ord_less_eq_set_val @ ( SV290 @ SV53 ) @ SY938 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[947]) ).
thf(1101,plain,
! [SV291: set_val,SV178: set_val,SV54: set_val] :
( ( ~ ( ord_less_eq_set_val @ SV54 @ SV178 )
| ~ ( ord_less_set_val @ SV178 @ SV291 )
| ( ord_less_set_val @ SV54 @ SV291 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[948]) ).
thf(1102,plain,
! [SV179: set_val,SV55: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV55 @ SV179 ) )
= $true )
| ( ( ~ ( ord_less_eq_set_val @ SV179 @ SV55 )
| ( SV55 = SV179 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[949]) ).
thf(1103,plain,
! [SV292: set_val,SV180: set_val,SV56: set_val] :
( ( ~ ( ord_less_eq_set_val @ SV56 @ SV180 )
| ( SV180 != SV292 )
| ( ord_less_eq_set_val @ SV56 @ SV292 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[950]) ).
thf(1104,plain,
! [SV181: set_val,SV57: set_val > $o] :
( ( ( ~ ( SV57 @ SV181 ) )
= $true )
| ( ( ~ ! [SY788: set_val] :
( ~ ( SV57 @ SY788 )
| ( ord_less_eq_set_val @ SY788 @ SV181 ) )
| ( ( order_1960465943et_val @ SV57 )
= SV181 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[951]) ).
thf(1105,plain,
! [SV293: set_val,SV182: set_val,SV58: set_val] :
( ( ! [SY941: set_val,SY942: $o] :
( ~ ( ord_less_eq_set_val @ SV58 @ SV182 )
| ~ ( ord_less_eq_set_val @ SV293 @ SY941 )
| ( ord_less_eq_set_val @ ( if_set_val @ SY942 @ SV58 @ SV293 ) @ ( if_set_val @ SY942 @ SV182 @ SY941 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[952]) ).
thf(1106,plain,
! [SV183: set_val] :
( ( ! [SV294: set_val] :
( ( SV183 = SV294 )
= ( ~ ( ~ ( ord_less_eq_set_val @ SV183 @ SV294 )
| ~ ( ord_less_eq_set_val @ SV294 @ SV183 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[953]) ).
thf(1107,plain,
! [SV183: set_val] :
( ( ( ^ [SY792: set_val] : ( SV183 = SY792 ) )
= ( ^ [SY793: set_val] :
~ ( ~ ( ord_less_eq_set_val @ SV183 @ SY793 )
| ~ ( ord_less_eq_set_val @ SY793 @ SV183 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[953]) ).
thf(1108,plain,
! [SV295: set_val > set_val,SV184: set_val,SV60: set_val] :
( ( ! [SY943: set_val] :
( ~ ( ord_less_eq_set_val @ SV60 @ SV184 )
| ~ ( ord_less_set_val @ ( SV295 @ SV184 ) @ SY943 )
| ~ ! [SY944: set_val,SY945: set_val] :
( ~ ( ord_less_eq_set_val @ SY944 @ SY945 )
| ( ord_less_eq_set_val @ ( SV295 @ SY944 ) @ ( SV295 @ SY945 ) ) )
| ( ord_less_set_val @ ( SV295 @ SV60 ) @ SY943 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[954]) ).
thf(1109,plain,
! [SV185: set_val,SV61: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV61 @ SV185 ) )
= $true )
| ( ( ( ~ ( ord_less_set_val @ SV61 @ SV185 ) )
= ( SV61 = SV185 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[955]) ).
thf(1110,plain,
! [SV296: set_val,SV186: set_val,SV62: set_val] :
( ( ~ ( ord_less_eq_set_val @ SV62 @ SV186 )
| ~ ( ord_less_set_val @ SV186 @ SV296 )
| ( ord_less_set_val @ SV62 @ SV296 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[956]) ).
thf(1111,plain,
! [SV187: set_val,SV63: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV63 @ SV187 ) )
= $true )
| ( ( ord_less_eq_set_val @ SV63 @ SV187 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[957]) ).
thf(1112,plain,
! [SV297: set_val > val,SV188: set_val,SV64: set_val] :
( ( ! [SY946: val] :
( ~ ( ord_less_eq_set_val @ SV64 @ SV188 )
| ( ( SV297 @ SV188 )
!= SY946 )
| ~ ! [SY947: set_val,SY948: set_val] :
( ~ ( ord_less_eq_set_val @ SY947 @ SY948 )
| ( ord_less_eq_val @ ( SV297 @ SY947 ) @ ( SV297 @ SY948 ) ) )
| ( ord_less_eq_val @ ( SV297 @ SV64 ) @ SY946 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[958]) ).
thf(1113,plain,
! [SV189: set_val,SV65: set_val] :
( ( ( ~ ( ( SV65 != SV189 ) ) )
= $true )
| ( ( ~ ( ord_less_eq_set_val @ SV65 @ SV189 )
| ( ord_less_set_val @ SV65 @ SV189 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[959]) ).
thf(1114,plain,
! [SV298: set_val > set_val,SV190: set_val,SV66: set_val] :
( ( ! [SY949: set_val] :
( ~ ( ord_less_eq_set_val @ SV66 @ SV190 )
| ( ( SV298 @ SV190 )
!= SY949 )
| ~ ! [SY950: set_val,SY951: set_val] :
( ~ ( ord_less_eq_set_val @ SY950 @ SY951 )
| ( ord_less_eq_set_val @ ( SV298 @ SY950 ) @ ( SV298 @ SY951 ) ) )
| ( ord_less_eq_set_val @ ( SV298 @ SV66 ) @ SY949 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[960]) ).
thf(1115,plain,
! [SV191: val > $o,SV67: val > $o] :
( ( ( ~ ! [SY807: val] :
( ~ ( SV67 @ SY807 )
| ( SV191 @ SY807 ) ) )
= $true )
| ( ( ord_less_eq_set_val @ ( collect_val @ SV67 ) @ ( collect_val @ SV191 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[961]) ).
thf(1116,plain,
! [SV299: set_val,SV192: set_val,SV68: set_val] :
( ( ~ ( ord_less_eq_set_val @ SV68 @ SV192 )
| ~ ( ord_less_set_val @ SV299 @ SV68 )
| ( ord_less_set_val @ SV299 @ SV192 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[962]) ).
thf(1117,plain,
! [SV300: val,SV193: set_val,SV69: set_val] :
( ( ~ ( ord_less_eq_set_val @ SV69 @ SV193 )
| ~ ( member_val @ SV300 @ SV69 )
| ( member_val @ SV300 @ SV193 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[963]) ).
thf(1118,plain,
! [SV194: $o > set_val] :
( ( ! [SV301: $o > set_val] :
( ( ord_le994826475et_val @ SV194 @ SV301 )
= ( ~ ( ~ ( ord_less_eq_set_val @ ( SV194 @ $false ) @ ( SV301 @ $false ) )
| ~ ( ord_less_eq_set_val @ ( SV194 @ $true ) @ ( SV301 @ $true ) ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[964]) ).
thf(1119,plain,
! [SV194: $o > set_val] :
( ( ( ord_le994826475et_val @ SV194 )
= ( ^ [SY810: $o > set_val] :
~ ( ~ ( ord_less_eq_set_val @ ( SV194 @ $false ) @ ( SY810 @ $false ) )
| ~ ( ord_less_eq_set_val @ ( SV194 @ $true ) @ ( SY810 @ $true ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[964]) ).
thf(1120,plain,
! [SV302: set_val,SV195: set_val,SV71: set_val] :
( ( ~ ( ord_less_eq_set_val @ SV71 @ SV195 )
| ~ ( ord_less_eq_set_val @ SV302 @ SV195 )
| ( ord_less_eq_set_val @ ( sup_sup_set_val @ SV71 @ SV302 ) @ SV195 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[965]) ).
thf(1121,plain,
! [SV303: $o,SV196: $o > set_val,SV72: $o > set_val] :
( ( ~ ( ord_le994826475et_val @ SV72 @ SV196 )
| ( ord_less_eq_set_val @ ( SV72 @ SV303 ) @ ( SV196 @ SV303 ) ) )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[966]) ).
thf(1122,plain,
! [SV196: $o > set_val,SV72: $o > set_val] :
( ( ~ ( ord_le994826475et_val @ SV72 @ SV196 )
| ( ord_less_eq_set_val @ ( SV72 @ $true ) @ ( SV196 @ $true ) ) )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[966]) ).
thf(1123,plain,
! [SV196: $o > set_val,SV72: $o > set_val] :
( ( ~ ( ord_le994826475et_val @ SV72 @ SV196 )
| ( ord_less_eq_set_val @ ( SV72 @ $false ) @ ( SV196 @ $false ) ) )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[966]) ).
thf(1124,plain,
! [SV197: set_val,SV73: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV73 @ SV197 ) )
= $true )
| ( ( ( ord_less_set_val @ SV73 @ SV197 )
| ( SV73 = SV197 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[967]) ).
thf(1125,plain,
! [SV304: set_val,SV198: set_val,SV74: set_val] :
( ( ~ ( ord_less_eq_set_val @ SV74 @ SV198 )
| ~ ( ord_less_set_val @ SV198 @ SV304 )
| ( ord_less_set_val @ SV74 @ SV304 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[968]) ).
thf(1126,plain,
! [SV199: set_val,SV75: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV75 @ SV199 ) )
= $true )
| ( ( ( ord_less_eq_set_val @ SV199 @ SV75 )
= ( SV199 = SV75 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[969]) ).
thf(1127,plain,
! [SV200: set_val,SV76: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ ( uminus1961393973et_val @ SV76 ) @ SV200 ) )
= $true )
| ( ( ord_less_eq_set_val @ ( uminus1961393973et_val @ SV200 ) @ SV76 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[970]) ).
thf(1128,plain,
! [SV305: set_val,SV201: set_val,SV77: set_val > set_val] :
( ( ~ ( order_1719375026et_val @ SV77 )
| ~ ( ord_less_eq_set_val @ SV201 @ SV305 )
| ( ord_less_eq_set_val @ ( SV77 @ SV305 ) @ ( SV77 @ SV201 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[971]) ).
thf(1129,plain,
! [SV202: set_val,SV78: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV78 @ ( uminus1961393973et_val @ SV202 ) ) )
= $true )
| ( ( ord_less_eq_set_val @ SV202 @ ( uminus1961393973et_val @ SV78 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[972]) ).
thf(1130,plain,
! [SV306: set_val,SV203: set_val,SV79: set_val] :
( ( ~ ( ord_less_set_val @ SV79 @ SV203 )
| ~ ( ord_less_eq_set_val @ SV203 @ SV306 )
| ( ord_less_set_val @ SV79 @ SV306 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[973]) ).
thf(1131,plain,
! [SV307: set_val,SV204: set_val,SV80: set_val] :
( ( ! [SY952: set_val] :
( ( ( set_or1554624499et_val @ SV80 @ SV204 )
= ( set_or1554624499et_val @ SV307 @ SY952 ) )
= ( ~ ( ( SV80 != SV307 )
| ( SV204 != SY952 ) )
| ~ ( ~ ~ ( ord_less_eq_set_val @ SV80 @ SV204 )
| ~ ~ ( ord_less_eq_set_val @ SV307 @ SY952 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[974]) ).
thf(1132,plain,
! [SV308: set_val,SV205: set_val,SV81: set_val] :
( ( ~ ( ord_less_eq_set_val @ SV81 @ SV205 )
| ~ ( ord_less_eq_set_val @ SV205 @ SV308 )
| ( ord_less_eq_set_val @ SV81 @ SV308 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[975]) ).
thf(1133,plain,
! [SV206: set_val] :
( ( ! [SV309: set_val] :
( ( ord_less_set_val @ SV206 @ SV309 )
= ( ~ ( ~ ( ord_less_eq_set_val @ SV206 @ SV309 )
| ~ ( ( SV206 != SV309 ) ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[976]) ).
thf(1134,plain,
! [SV206: set_val] :
( ( ( ord_less_set_val @ SV206 )
= ( ^ [SY819: set_val] :
~ ( ~ ( ord_less_eq_set_val @ SV206 @ SY819 )
| ~ ( ( SV206 != SY819 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[976]) ).
thf(1135,plain,
! [SV310: val,SV207: val > set_val,SV83: set_val] :
( ( ! [SY953: val] :
( ( SV83
!= ( SV207 @ SV310 ) )
| ~ ( ord_less_eq_val @ SV310 @ SY953 )
| ~ ! [SY822: val,SY823: val] :
( ~ ( ord_less_eq_val @ SY822 @ SY823 )
| ( ord_less_eq_set_val @ ( SV207 @ SY822 ) @ ( SV207 @ SY823 ) ) )
| ( ord_less_eq_set_val @ SV83 @ ( SV207 @ SY953 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[977]) ).
thf(1136,plain,
! [SV311: set_val,SV208: set_val,SV84: set_val] :
( ( ~ ( ord_less_set_val @ SV84 @ SV208 )
| ~ ( ord_less_eq_set_val @ SV208 @ SV311 )
| ( ord_less_set_val @ SV84 @ SV311 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[978]) ).
thf(1137,plain,
! [SV209: set_val,SV85: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV85 @ SV209 ) )
= $true )
| ( ( ~ ( ( SV85 != SV209 ) )
| ( ord_less_set_val @ SV85 @ SV209 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[979]) ).
thf(1138,plain,
! [SV312: set_val,SV210: set_val,SV86: set_val] :
( ( ~ ( ord_less_eq_set_val @ SV86 @ SV210 )
| ( ord_less_eq_set_val @ SV86 @ ( sup_sup_set_val @ SV210 @ SV312 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[980]) ).
thf(1139,plain,
! [SV211: set_val] :
( ( ! [SV313: set_val] :
( ( ord_less_set_val @ SV211 @ SV313 )
= ( ~ ( ~ ( ord_less_eq_set_val @ SV211 @ SV313 )
| ~ ~ ( ord_less_eq_set_val @ SV313 @ SV211 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[981]) ).
thf(1140,plain,
! [SV211: set_val] :
( ( ( ord_less_set_val @ SV211 )
= ( ^ [SY826: set_val] :
~ ( ~ ( ord_less_eq_set_val @ SV211 @ SY826 )
| ~ ~ ( ord_less_eq_set_val @ SY826 @ SV211 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[981]) ).
thf(1141,plain,
! [SV314: val,SV212: set_val,SV88: set_val] :
( ( ~ ( ord_less_eq_set_val @ SV88 @ SV212 )
| ~ ( member_val @ SV314 @ SV88 )
| ( member_val @ SV314 @ SV212 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[982]) ).
thf(1142,plain,
! [SV213: set_val,SV89: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV89 @ SV213 ) )
= $true )
| ( ( ~ ( ( SV89 != SV213 ) )
| ( ord_less_set_val @ SV89 @ SV213 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[983]) ).
thf(1143,plain,
! [SV315: set_set_val,SV214: set_set_val > set_val,SV90: set_val] :
( ( ! [SY956: set_set_val] :
( ~ ( ord_less_eq_set_val @ SV90 @ ( SV214 @ SV315 ) )
| ~ ( ord_le1742111550et_val @ SV315 @ SY956 )
| ~ ! [SY830: set_set_val,SY831: set_set_val] :
( ~ ( ord_le1742111550et_val @ SY830 @ SY831 )
| ( ord_less_eq_set_val @ ( SV214 @ SY830 ) @ ( SV214 @ SY831 ) ) )
| ( ord_less_eq_set_val @ SV90 @ ( SV214 @ SY956 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[984]) ).
thf(1144,plain,
! [SV316: set_val,SV215: set_val,SV91: set_val] :
( ( ~ ( ord_less_eq_set_val @ ( sup_sup_set_val @ SV91 @ SV215 ) @ SV316 )
| ~ ( ~ ( ord_less_eq_set_val @ SV91 @ SV316 )
| ~ ( ord_less_eq_set_val @ SV215 @ SV316 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[985]) ).
thf(1145,plain,
! [SV317: set_val,SV216: set_val > set_val,SV92: set_val] :
( ( ! [SY959: set_val] :
( ~ ( ord_less_set_val @ SV92 @ ( SV216 @ SV317 ) )
| ~ ( ord_less_eq_set_val @ SV317 @ SY959 )
| ~ ! [SY835: set_val,SY836: set_val] :
( ~ ( ord_less_eq_set_val @ SY835 @ SY836 )
| ( ord_less_eq_set_val @ ( SV216 @ SY835 ) @ ( SV216 @ SY836 ) ) )
| ( ord_less_set_val @ SV92 @ ( SV216 @ SY959 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[986]) ).
thf(1146,plain,
! [SV217: set_val,SV93: set_val] :
( ( ( ~ ~ ( ord_less_set_val @ SV93 @ SV217 ) )
= $true )
| ( ( ( ord_less_eq_set_val @ SV93 @ SV217 )
= ( SV93 = SV217 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[987]) ).
thf(1147,plain,
! [SV318: set_val,SV218: set_val,SV94: set_val] :
( ( ~ ( ord_less_eq_set_val @ SV94 @ SV218 )
| ~ ( ord_less_eq_set_val @ SV318 @ SV94 )
| ( ord_less_eq_set_val @ SV318 @ SV218 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[988]) ).
thf(1148,plain,
! [SV219: set_val,SV95: set_val] :
( ( ( SV95 != SV219 )
= $true )
| ( ( ord_less_eq_set_val @ SV95 @ SV219 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[989]) ).
thf(1149,plain,
! [SV220: set_val,SV96: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV96 @ SV220 ) )
= $true )
| ( ( ~ ( ord_less_eq_set_val @ SV220 @ SV96 )
| ( SV96 = SV220 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[990]) ).
thf(1150,plain,
! [SV319: set_val,SV221: set_val > set_val,SV97: set_val > set_val] :
( ( ~ ( refine1929691018et_val @ SV97 @ SV221 )
| ( ord_less_eq_set_val @ SV319 @ ( SV221 @ ( SV97 @ SV319 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[991]) ).
thf(1151,plain,
! [SV222: set_val] :
( ( ! [SV320: set_val] :
( ( SV222 = SV320 )
= ( ~ ( ~ ( ord_less_eq_set_val @ SV320 @ SV222 )
| ~ ( ord_less_eq_set_val @ SV222 @ SV320 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[992]) ).
thf(1152,plain,
! [SV222: set_val] :
( ( ( ^ [SY839: set_val] : ( SV222 = SY839 ) )
= ( ^ [SY840: set_val] :
~ ( ~ ( ord_less_eq_set_val @ SY840 @ SV222 )
| ~ ( ord_less_eq_set_val @ SV222 @ SY840 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[992]) ).
thf(1153,plain,
! [SV321: set_val,SV223: set_val,SV99: $o] :
( ( ! [SY962: set_val,SY963: set_val] :
( ~ ( ~ SV99
| ( ord_less_eq_set_val @ SV223 @ SV321 ) )
| ~ ( ~ ~ SV99
| ( ord_less_eq_set_val @ SY962 @ SY963 ) )
| ( ord_less_eq_set_val @ ( if_set_val @ SV99 @ SV223 @ SY962 ) @ ( if_set_val @ SV99 @ SV321 @ SY963 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[993]) ).
thf(1154,plain,
! [SV322: set_val,SV224: set_val] :
( ( ! [SY964: set_val,SY965: set_val] :
( ~ ( ~ $true
| ( ord_less_eq_set_val @ SV224 @ SV322 ) )
| ~ ( ~ ~ $true
| ( ord_less_eq_set_val @ SY964 @ SY965 ) )
| ( ord_less_eq_set_val @ ( if_set_val @ $true @ SV224 @ SY964 ) @ ( if_set_val @ $true @ SV322 @ SY965 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[994]) ).
thf(1155,plain,
! [SV323: set_val,SV225: set_val] :
( ( ! [SY966: set_val,SY967: set_val] :
( ~ ( ~ $false
| ( ord_less_eq_set_val @ SV225 @ SV323 ) )
| ~ ( ~ ~ $false
| ( ord_less_eq_set_val @ SY966 @ SY967 ) )
| ( ord_less_eq_set_val @ ( if_set_val @ $false @ SV225 @ SY966 ) @ ( if_set_val @ $false @ SV323 @ SY967 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[995]) ).
thf(1156,plain,
! [SV226: set_val] :
( ( ! [SV324: set_val] :
( ( ord_less_eq_set_val @ SV226 @ SV324 )
= ( ! [SY968: val] :
( ~ ( member_val @ SY968 @ SV226 )
| ( member_val @ SY968 @ SV324 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[996]) ).
thf(1157,plain,
! [SV226: set_val] :
( ( ( ord_less_eq_set_val @ SV226 )
= ( ^ [SY850: set_val] :
! [SY851: val] :
( ~ ( member_val @ SY851 @ SV226 )
| ( member_val @ SY851 @ SY850 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[996]) ).
thf(1158,plain,
! [SV325: set_val,SV227: set_val > set_val,SV101: set_val] :
( ( ! [SY969: set_val] :
( ~ ( ord_less_eq_set_val @ SV101 @ ( SV227 @ SV325 ) )
| ~ ( ord_less_eq_set_val @ SV325 @ SY969 )
| ~ ! [SY854: set_val,SY855: set_val] :
( ~ ( ord_less_eq_set_val @ SY854 @ SY855 )
| ( ord_less_eq_set_val @ ( SV227 @ SY854 ) @ ( SV227 @ SY855 ) ) )
| ( ord_less_eq_set_val @ SV101 @ ( SV227 @ SY969 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[997]) ).
thf(1159,plain,
! [SV228: set_val,SV102: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV102 @ SV228 ) )
= $true )
| ( ( ord_less_eq_set_val @ ( uminus1961393973et_val @ SV228 ) @ ( uminus1961393973et_val @ SV102 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[998]) ).
thf(1160,plain,
! [SV229: set_val,SV103: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV103 @ SV229 ) )
= $true )
| ( ( ~ ( ord_less_eq_set_val @ SV229 @ SV103 )
| ( SV229 = SV103 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[999]) ).
thf(1161,plain,
! [SV230: set_val,SV104: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV104 @ SV230 ) )
= $true )
| ( ( ~ ( ord_less_eq_set_val @ SV230 @ SV104 )
| ( SV104 = SV230 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1000]) ).
thf(1162,plain,
! [SV231: set_val,SV105: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV105 @ SV231 ) )
= $true )
| ( ( ~ ( ord_less_set_val @ SV231 @ SV105 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1001]) ).
thf(1163,plain,
! [SV232: set_val > set_val] :
( ( ~ ( ( order_1719375026et_val @ SV232 )
| ! [SY856: set_val,SY857: set_val] :
( ~ ( ord_less_eq_set_val @ SY856 @ SY857 )
| ( ord_less_eq_set_val @ ( SV232 @ SY857 ) @ ( SV232 @ SY856 ) ) ) )
| ~ ( ~ ( order_1719375026et_val @ SV232 )
| ~ ! [SY856: set_val,SY857: set_val] :
( ~ ( ord_less_eq_set_val @ SY856 @ SY857 )
| ( ord_less_eq_set_val @ ( SV232 @ SY857 ) @ ( SV232 @ SY856 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1002]) ).
thf(1164,plain,
! [SV232: set_val > set_val] :
( ( ( order_1719375026et_val @ SV232 )
= ( ! [SY856: set_val,SY857: set_val] :
( ~ ( ord_less_eq_set_val @ SY856 @ SY857 )
| ( ord_less_eq_set_val @ ( SV232 @ SY857 ) @ ( SV232 @ SY856 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1002]) ).
thf(1165,plain,
! [SV233: set_val,SV107: set_val] :
( ( ( ~ ( ord_less_set_val @ SV107 @ SV233 ) )
= $true )
| ( ( ord_less_eq_set_val @ SV107 @ SV233 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1003]) ).
thf(1166,plain,
! [SV326: set_val,SV234: set_val > val,SV108: val] :
( ( ! [SY972: set_val] :
( ( SV108
!= ( SV234 @ SV326 ) )
| ~ ( ord_less_eq_set_val @ SV326 @ SY972 )
| ~ ! [SY860: set_val,SY861: set_val] :
( ~ ( ord_less_eq_set_val @ SY860 @ SY861 )
| ( ord_less_eq_val @ ( SV234 @ SY860 ) @ ( SV234 @ SY861 ) ) )
| ( ord_less_eq_val @ SV108 @ ( SV234 @ SY972 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1004]) ).
thf(1167,plain,
! [SV327: set_val > val,SV235: set_val,SV109: set_val] :
( ( ! [SY975: val] :
( ~ ( ord_less_eq_set_val @ SV109 @ SV235 )
| ~ ( ord_less_eq_val @ ( SV327 @ SV235 ) @ SY975 )
| ~ ! [SY976: set_val,SY977: set_val] :
( ~ ( ord_less_eq_set_val @ SY976 @ SY977 )
| ( ord_less_eq_val @ ( SV327 @ SY976 ) @ ( SV327 @ SY977 ) ) )
| ( ord_less_eq_val @ ( SV327 @ SV109 ) @ SY975 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1005]) ).
thf(1168,plain,
! [SV328: set_set_val > set_val,SV236: set_set_val,SV110: set_set_val] :
( ( ! [SY978: set_val] :
( ~ ( ord_le1742111550et_val @ SV110 @ SV236 )
| ( ( SV328 @ SV236 )
!= SY978 )
| ~ ! [SY979: set_set_val,SY980: set_set_val] :
( ~ ( ord_le1742111550et_val @ SY979 @ SY980 )
| ( ord_less_eq_set_val @ ( SV328 @ SY979 ) @ ( SV328 @ SY980 ) ) )
| ( ord_less_eq_set_val @ ( SV328 @ SV110 ) @ SY978 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1006]) ).
thf(1169,plain,
! [SV329: set_val,SV237: set_val,SV111: set_val > set_val] :
( ( ~ ( order_1719375026et_val @ SV111 )
| ~ ( ord_less_eq_set_val @ SV237 @ SV329 )
| ( ord_less_eq_set_val @ ( SV111 @ SV329 ) @ ( SV111 @ SV237 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1007]) ).
thf(1170,plain,
! [SV330: set_val,SV238: set_val,SV112: $o] :
( ( ! [SY981: set_val] :
( ~ ( ~ SV112
| ( ord_less_eq_set_val @ SV238 @ SV330 ) )
| ~ ( ~ ~ SV112
| ( ord_less_eq_set_val @ SY981 @ SV330 ) )
| ( ord_less_eq_set_val @ ( if_set_val @ SV112 @ SV238 @ SY981 ) @ SV330 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1008]) ).
thf(1171,plain,
! [SV331: set_val,SV239: set_val] :
( ( ! [SY982: set_val] :
( ~ ( ~ $true
| ( ord_less_eq_set_val @ SV239 @ SV331 ) )
| ~ ( ~ ~ $true
| ( ord_less_eq_set_val @ SY982 @ SV331 ) )
| ( ord_less_eq_set_val @ ( if_set_val @ $true @ SV239 @ SY982 ) @ SV331 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1009]) ).
thf(1172,plain,
! [SV332: set_val,SV240: set_val] :
( ( ! [SY983: set_val] :
( ~ ( ~ $false
| ( ord_less_eq_set_val @ SV240 @ SV332 ) )
| ~ ( ~ ~ $false
| ( ord_less_eq_set_val @ SY983 @ SV332 ) )
| ( ord_less_eq_set_val @ ( if_set_val @ $false @ SV240 @ SY983 ) @ SV332 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1010]) ).
thf(1173,plain,
! [SV333: set_val,SV241: set_val > set_val,SV113: set_val] :
( ( ! [SY984: set_val] :
( ( SV113
!= ( SV241 @ SV333 ) )
| ~ ( ord_less_eq_set_val @ SV333 @ SY984 )
| ~ ! [SY879: set_val,SY880: set_val] :
( ~ ( ord_less_eq_set_val @ SY879 @ SY880 )
| ( ord_less_eq_set_val @ ( SV241 @ SY879 ) @ ( SV241 @ SY880 ) ) )
| ( ord_less_eq_set_val @ SV113 @ ( SV241 @ SY984 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1011]) ).
thf(1174,plain,
! [SV242: set_val,SV114: set_val] :
( ( ( ~ ( ord_less_set_val @ SV114 @ SV242 ) )
= $true )
| ( ( ord_less_eq_set_val @ SV114 @ SV242 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1012]) ).
thf(1175,plain,
! [SV334: set_val > $o,SV243: set_val,SV115: set_val > $o] :
( ( ~ ( SV115 @ SV243 )
| ~ ! [SY882: set_val] :
( ~ ( SV115 @ SY882 )
| ( ord_less_eq_set_val @ SY882 @ SV243 ) )
| ~ ! [SY988: set_val] :
( ~ ( SV115 @ SY988 )
| ~ ! [SY677: set_val] :
( ~ ( SV115 @ SY677 )
| ( ord_less_eq_set_val @ SY677 @ SY988 ) )
| ( SV334 @ SY988 ) )
| ( SV334 @ ( order_1960465943et_val @ SV115 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1013]) ).
thf(1176,plain,
! [SV244: set_val] :
( ( ! [SV335: set_val] :
( ( ord_less_set_val @ SV244 @ SV335 )
= ( ~ ( ~ ( ord_less_eq_set_val @ SV244 @ SV335 )
| ~ ( ( SV335 != SV244 ) ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1014]) ).
thf(1177,plain,
! [SV244: set_val] :
( ( ( ord_less_set_val @ SV244 )
= ( ^ [SY885: set_val] :
~ ( ~ ( ord_less_eq_set_val @ SV244 @ SY885 )
| ~ ( ( SY885 != SV244 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1014]) ).
thf(1178,plain,
! [SV336: set_val,SV245: set_val,SV117: set_val] :
( ( ( ord_less_eq_set_val @ ( sup_sup_set_val @ SV117 @ SV245 ) @ SV336 )
= ( ~ ( ~ ( ord_less_eq_set_val @ SV117 @ SV336 )
| ~ ( ord_less_eq_set_val @ SV245 @ SV336 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1015]) ).
thf(1179,plain,
! [SV246: set_val > set_val,SV118: set_val > set_val] :
( ( ( ~ ! [SY887: set_val,SY888: set_val] :
( ( ord_less_eq_set_val @ SY887 @ ( SV118 @ SY888 ) )
= ( ord_less_eq_set_val @ ( SV246 @ SY887 ) @ SY888 ) ) )
= $true )
| ( ( refine1929691018et_val @ SV246 @ SV118 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1016]) ).
thf(1180,plain,
! [SV247: set_val,SV119: set_val] :
( ( ( ~ ( ord_less_set_val @ SV119 @ SV247 ) )
= $true )
| ( ( ord_less_eq_set_val @ SV119 @ SV247 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1017]) ).
thf(1181,plain,
! [SV248: set_val,SV120: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV120 @ SV248 ) )
= $true )
| ( ( ( sup_sup_set_val @ SV120 @ SV248 )
= SV248 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1018]) ).
thf(1182,plain,
! [SV337: set_val,SV249: set_val,SV121: set_val] :
( ( ~ ( ord_less_set_val @ SV121 @ SV249 )
| ~ ( ord_less_eq_set_val @ SV249 @ SV337 )
| ( ord_less_set_val @ SV121 @ SV337 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1019]) ).
thf(1183,plain,
! [SV338: set_val,SV250: set_val > set_val,SV122: set_val > set_val] :
( ( ~ ( refine1929691018et_val @ SV122 @ SV250 )
| ( ord_less_eq_set_val @ ( SV122 @ ( SV250 @ SV338 ) ) @ SV338 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1020]) ).
thf(1184,plain,
! [SV339: set_val,SV251: set_val,SV123: set_val] :
( ( ( SV123 != SV251 )
| ~ ( ord_less_eq_set_val @ SV251 @ SV339 )
| ( ord_less_eq_set_val @ SV123 @ SV339 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1021]) ).
thf(1185,plain,
! [SV252: set_val,SV124: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV124 @ SV252 ) )
= $true )
| ( ( ( sup_sup_set_val @ SV124 @ SV252 )
= SV252 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1022]) ).
thf(1186,plain,
! [SV340: set_val,SV253: set_val > set_val,SV125: set_val > set_val] :
( ( ! [SY990: set_val] :
( ~ ( refine1929691018et_val @ SV125 @ SV253 )
| ( ( ord_less_eq_set_val @ SV340 @ ( SV253 @ SY990 ) )
= ( ord_less_eq_set_val @ ( SV125 @ SV340 ) @ SY990 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1023]) ).
thf(1187,plain,
! [SV254: $o > set_val,SV126: $o > set_val] :
( ( ( ~ ! [SY894: $o] : ( ord_less_eq_set_val @ ( SV126 @ SY894 ) @ ( SV254 @ SY894 ) ) )
= $true )
| ( ( ord_le994826475et_val @ SV126 @ SV254 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1024]) ).
thf(1188,plain,
! [SV255: set_val,SV127: set_val] :
( ( ( SV127
!= ( sup_sup_set_val @ SV127 @ SV255 ) )
= $true )
| ( ( ord_less_eq_set_val @ SV255 @ SV127 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1025]) ).
thf(1189,plain,
! [SV128: set_val > set_val] :
( ( ( ! [SY699: set_val,SY700: set_val] :
( ~ ( ord_less_eq_set_val @ SY699 @ SY700 )
| ( ord_less_eq_set_val @ ( SV128 @ SY700 ) @ ( SV128 @ SY699 ) ) ) )
= $false )
| ( ( order_1719375026et_val @ SV128 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1026]) ).
thf(1190,plain,
! [SV341: set_val,SV256: set_val,SV129: set_val] :
( ( ~ ( ord_less_set_val @ SV129 @ SV256 )
| ~ ( ord_less_eq_set_val @ SV341 @ SV129 )
| ( ord_less_set_val @ SV341 @ SV256 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1027]) ).
thf(1191,plain,
! [SV342: $o > set_val,SV130: $o > set_val] :
( ( ( ord_le994826475et_val @ SV130 @ SV342 )
= ( ! [SY991: $o] : ( ord_less_eq_set_val @ ( SV130 @ SY991 ) @ ( SV342 @ SY991 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1028]) ).
thf(1192,plain,
! [SV343: set_val > set_val,SV131: set_val > set_val] :
( ( ( refine1929691018et_val @ SV131 @ SV343 )
= ( ! [SY992: set_val,SY993: set_val] :
( ( ord_less_eq_set_val @ SY992 @ ( SV343 @ SY993 ) )
= ( ord_less_eq_set_val @ ( SV131 @ SY992 ) @ SY993 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1030]) ).
thf(1193,plain,
! [SV132: set_val,SV6: set_val] :
( ( ( ~ ( ( ord_less_eq_set_val @ ( uminus1961393973et_val @ SV6 ) @ ( uminus1961393973et_val @ SV132 ) )
| ( ord_less_eq_set_val @ SV132 @ SV6 ) ) )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_set_val @ ( uminus1961393973et_val @ SV6 ) @ ( uminus1961393973et_val @ SV132 ) )
| ~ ( ord_less_eq_set_val @ SV132 @ SV6 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1032]) ).
thf(1194,plain,
! [SV344: set_val,SV133: set_val] :
( ( ( ord_less_eq_set_val @ SV133 @ SV344 )
= ( ( ord_less_set_val @ SV133 @ SV344 )
| ( SV133 = SV344 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1034]) ).
thf(1195,plain,
! [SV345: set_val,SV134: set_val] :
( ( ( ord_less_eq_set_val @ SV134 @ SV345 )
= ( ( ord_less_set_val @ SV134 @ SV345 )
| ( SV134 = SV345 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1036]) ).
thf(1196,plain,
! [SV346: set_val,SV135: set_val] :
( ( ( ord_less_eq_set_val @ SV135 @ SV346 )
= ( ( ord_less_set_val @ SV135 @ SV346 )
| ( SV346 = SV135 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1038]) ).
thf(1197,plain,
! [SV347: set_val,SV136: set_val] :
( ( ( ord_less_eq_set_val @ SV136 @ SV347 )
= ( ( ord_less_set_val @ SV136 @ SV347 )
| ( SV136 = SV347 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1040]) ).
thf(1198,plain,
! [SV137: set_val,SV11: set_val] :
( ( ( ~ ( ( ord_less_eq_set_val @ ( uminus1961393973et_val @ SV11 ) @ ( uminus1961393973et_val @ SV137 ) )
| ( ord_less_eq_set_val @ SV137 @ SV11 ) ) )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_set_val @ ( uminus1961393973et_val @ SV11 ) @ ( uminus1961393973et_val @ SV137 ) )
| ~ ( ord_less_eq_set_val @ SV137 @ SV11 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1042]) ).
thf(1199,plain,
! [SV348: set_val,SV138: set_val] :
( ( ( ord_less_eq_set_val @ SV138 @ SV348 )
= ( ( sup_sup_set_val @ SV138 @ SV348 )
= SV348 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1044]) ).
thf(1200,plain,
! [SV349: set_val,SV139: set_val] :
( ( ( ord_less_eq_set_val @ SV139 @ SV349 )
= ( ( sup_sup_set_val @ SV349 @ SV139 )
= SV349 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1046]) ).
thf(1201,plain,
! [SV350: set_val,SV142: set_val] :
( ( ( ord_less_eq_set_val @ SV142 @ SV350 )
= ( SV350
= ( sup_sup_set_val @ SV350 @ SV142 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1048]) ).
thf(1202,plain,
! [SV17: $o] :
( ( ( ~ ( SV17
| $true ) )
= $true )
| ( ( ~ ( ~ SV17
| ~ $true ) )
= $true )
| ( ( SV17 = $false )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1050]) ).
thf(1203,plain,
! [SV17: $o] :
( ( ( ~ ( SV17
| $false )
| ~ ( ~ SV17
| ~ $false ) )
= $true )
| ( ( SV17 = $true )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1051]) ).
thf(1204,plain,
! [SV17: $o] :
( ( ( SV17 = $false )
= $true )
| ( ( SV17 = $true )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1051]) ).
thf(1205,plain,
( ( ( ~ ( $true
| $true ) )
= $true )
| ( ( ~ ( ~ $true
| ~ $true ) )
= $true )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1052]) ).
thf(1206,plain,
( ( ( ~ ( $true
| $false )
| ~ ( ~ $true
| ~ $false ) )
= $true )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1053]) ).
thf(1207,plain,
( ( ( $true = $false )
= $true )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1053]) ).
thf(1208,plain,
( ( ( ~ ( $false
| $true ) )
= $true )
| ( ( ~ ( ~ $false
| ~ $true ) )
= $true )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1054]) ).
thf(1209,plain,
( ( ( ~ ( $false
| $false )
| ~ ( ~ $false
| ~ $false ) )
= $true )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1055]) ).
thf(1210,plain,
( ( ( $false = $false )
= $true )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1055]) ).
thf(1211,plain,
! [SV143: set_val,SV18: set_val] :
( ( ( ord_less_eq_set_val @ SV18 @ SV143 )
= $false )
| ( ( ( sup_sup_set_val @ SV143 @ SV18 )
= SV143 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1056]) ).
thf(1212,plain,
! [SV266: set_val,SV144: set_val,SV19: set_val > set_val > set_val] :
( ( ( ~ ! [SY437: set_val,SY438: set_val] : ( ord_less_eq_set_val @ SY437 @ ( SV19 @ SY437 @ SY438 ) ) )
= $true )
| ( ( ~ ! [SY439: set_val,SY440: set_val] : ( ord_less_eq_set_val @ SY440 @ ( SV19 @ SY439 @ SY440 ) )
| ~ ! [SY441: set_val,SY442: set_val,SY443: set_val] :
( ~ ( ord_less_eq_set_val @ SY442 @ SY441 )
| ~ ( ord_less_eq_set_val @ SY443 @ SY441 )
| ( ord_less_eq_set_val @ ( SV19 @ SY442 @ SY443 ) @ SY441 ) )
| ( ( sup_sup_set_val @ SV144 @ SV266 )
= ( SV19 @ SV144 @ SV266 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1057]) ).
thf(1213,plain,
! [SV145: set_val,SV20: set_val] :
( ( ( ord_less_set_val @ SV20 @ SV145 )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_val @ SV20 @ SV145 )
| ( ord_less_eq_set_val @ SV145 @ SV20 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1058]) ).
thf(1214,plain,
! [SV267: set_val,SV146: set_val,SV21: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV21 @ SV146 ) )
= $true )
| ( ( ~ ( ord_less_eq_set_val @ SV146 @ SV267 )
| ( ord_less_eq_set_val @ SV21 @ SV267 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1059]) ).
thf(1215,plain,
! [SV351: val,SV268: val,SV147: val > set_val,SV22: set_val] :
( ( ~ ( ord_less_eq_set_val @ SV22 @ ( SV147 @ SV268 ) )
| ~ ( ord_less_eq_val @ SV268 @ SV351 )
| ~ ! [SY726: val,SY727: val] :
( ~ ( ord_less_eq_val @ SY726 @ SY727 )
| ( ord_less_eq_set_val @ ( SV147 @ SY726 ) @ ( SV147 @ SY727 ) ) )
| ( ord_less_eq_set_val @ SV22 @ ( SV147 @ SV351 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1060]) ).
thf(1216,plain,
! [SV352: set_set_val,SV269: set_val > set_set_val,SV148: set_val,SV24: set_val] :
( ( ~ ( ord_less_eq_set_val @ SV24 @ SV148 )
| ~ ( ord_le1742111550et_val @ ( SV269 @ SV148 ) @ SV352 )
| ~ ! [SY910: set_val,SY911: set_val] :
( ~ ( ord_less_eq_set_val @ SY910 @ SY911 )
| ( ord_le1742111550et_val @ ( SV269 @ SY910 ) @ ( SV269 @ SY911 ) ) )
| ( ord_le1742111550et_val @ ( SV269 @ SV24 ) @ SV352 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1062]) ).
thf(1217,plain,
! [SV353: set_val,SV149: set_val] :
( ( ( ord_less_set_val @ SV149 @ SV353 )
= ( ~ ( ~ ( ord_less_eq_set_val @ SV149 @ SV353 )
| ~ ( ( SV149 != SV353 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1063]) ).
thf(1218,plain,
! [SV354: set_val,SV150: set_val] :
( ( ( SV150 = SV354 )
= ( ~ ( ~ ( ord_less_eq_set_val @ SV150 @ SV354 )
| ~ ( ord_less_eq_set_val @ SV354 @ SV150 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1065]) ).
thf(1219,plain,
! [SV355: set_val,SV272: set_val,SV151: set_val > set_set_val,SV27: set_set_val] :
( ( ~ ( ord_le1742111550et_val @ SV27 @ ( SV151 @ SV272 ) )
| ~ ( ord_less_eq_set_val @ SV272 @ SV355 )
| ~ ! [SY737: set_val,SY738: set_val] :
( ~ ( ord_less_eq_set_val @ SY737 @ SY738 )
| ( ord_le1742111550et_val @ ( SV151 @ SY737 ) @ ( SV151 @ SY738 ) ) )
| ( ord_le1742111550et_val @ SV27 @ ( SV151 @ SV355 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1067]) ).
thf(1220,plain,
! [SV356: set_val,SV152: set_val] :
( ( ( ord_less_set_val @ SV152 @ SV356 )
= ( ~ ( ~ ( ord_less_eq_set_val @ SV152 @ SV356 )
| ~ ~ ( ord_less_eq_set_val @ SV356 @ SV152 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1068]) ).
thf(1221,plain,
! [SV357: set_val,SV153: set_val] :
( ( ( ord_less_set_val @ SV153 @ SV357 )
= ( ~ ( ~ ( ord_less_eq_set_val @ SV153 @ SV357 )
| ~ ( ( SV153 != SV357 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1070]) ).
thf(1222,plain,
! [SV154: set_val,SV30: set_val] :
( ( ( ord_less_eq_set_val @ SV30 @ SV154 )
= $false )
| ( ( ( sup_sup_set_val @ SV154 @ SV30 )
= SV154 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1072]) ).
thf(1223,plain,
! [SV155: set_val,SV31: set_val] :
( ( ( SV31 = SV155 )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_val @ SV31 @ SV155 )
| ~ ( ord_less_eq_set_val @ SV155 @ SV31 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1073]) ).
thf(1224,plain,
! [SV275: set_val,SV156: set_val,SV32: set_val] :
( ( ~ ( ( ord_less_eq_set_val @ ( sup_sup_set_val @ SV32 @ SV156 ) @ SV275 )
| ~ ( ~ ( ord_less_eq_set_val @ SV32 @ SV275 )
| ~ ( ord_less_eq_set_val @ SV156 @ SV275 ) ) )
| ~ ( ~ ( ord_less_eq_set_val @ ( sup_sup_set_val @ SV32 @ SV156 ) @ SV275 )
| ~ ~ ( ~ ( ord_less_eq_set_val @ SV32 @ SV275 )
| ~ ( ord_less_eq_set_val @ SV156 @ SV275 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1074]) ).
thf(1225,plain,
! [SV275: set_val,SV156: set_val,SV32: set_val] :
( ( ( ord_less_eq_set_val @ ( sup_sup_set_val @ SV32 @ SV156 ) @ SV275 )
= ( ~ ( ~ ( ord_less_eq_set_val @ SV32 @ SV275 )
| ~ ( ord_less_eq_set_val @ SV156 @ SV275 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1074]) ).
thf(1226,plain,
! [SV358: set_val,SV276: set_val,SV157: set_val > val,SV33: val] :
( ( ~ ( ord_less_eq_val @ SV33 @ ( SV157 @ SV276 ) )
| ~ ( ord_less_eq_set_val @ SV276 @ SV358 )
| ~ ! [SY744: set_val,SY745: set_val] :
( ~ ( ord_less_eq_set_val @ SY744 @ SY745 )
| ( ord_less_eq_val @ ( SV157 @ SY744 ) @ ( SV157 @ SY745 ) ) )
| ( ord_less_eq_val @ SV33 @ ( SV157 @ SV358 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1075]) ).
thf(1227,plain,
! [SV158: set_val,SV34: set_val] :
( ( ( SV34 = SV158 )
= $false )
| ( ( ord_less_eq_set_val @ SV34 @ SV158 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1076]) ).
thf(1228,plain,
! [SV277: set_val,SV159: set_val,SV35: set_val] :
( ( ~ ( ( ord_less_eq_set_val @ ( sup_sup_set_val @ SV35 @ SV159 ) @ SV277 )
| ~ ( ~ ( ord_less_eq_set_val @ SV35 @ SV277 )
| ~ ( ord_less_eq_set_val @ SV159 @ SV277 ) ) )
| ~ ( ~ ( ord_less_eq_set_val @ ( sup_sup_set_val @ SV35 @ SV159 ) @ SV277 )
| ~ ~ ( ~ ( ord_less_eq_set_val @ SV35 @ SV277 )
| ~ ( ord_less_eq_set_val @ SV159 @ SV277 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1077]) ).
thf(1229,plain,
! [SV277: set_val,SV159: set_val,SV35: set_val] :
( ( ( ord_less_eq_set_val @ ( sup_sup_set_val @ SV35 @ SV159 ) @ SV277 )
= ( ~ ( ~ ( ord_less_eq_set_val @ SV35 @ SV277 )
| ~ ( ord_less_eq_set_val @ SV159 @ SV277 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1077]) ).
thf(1230,plain,
! [SV359: set_set_val,SV278: set_val > set_set_val,SV160: set_val,SV36: set_val] :
( ( ~ ( ord_less_eq_set_val @ SV36 @ SV160 )
| ( ( SV278 @ SV160 )
!= SV359 )
| ~ ! [SY919: set_val,SY920: set_val] :
( ~ ( ord_less_eq_set_val @ SY919 @ SY920 )
| ( ord_le1742111550et_val @ ( SV278 @ SY919 ) @ ( SV278 @ SY920 ) ) )
| ( ord_le1742111550et_val @ ( SV278 @ SV36 ) @ SV359 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1078]) ).
thf(1231,plain,
! [SV161: set_val,SV37: set_val] :
( ( ( ord_less_eq_set_val @ SV37 @ SV161 )
= $false )
| ( ( ord_less_eq_set_val @ ( uminus1961393973et_val @ SV161 ) @ ( uminus1961393973et_val @ SV37 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1079]) ).
thf(1232,plain,
! [SV360: set_val,SV279: val > set_val,SV162: val,SV38: val] :
( ( ~ ( ord_less_eq_val @ SV38 @ SV162 )
| ( ( SV279 @ SV162 )
!= SV360 )
| ~ ! [SY922: val,SY923: val] :
( ~ ( ord_less_eq_val @ SY922 @ SY923 )
| ( ord_less_eq_set_val @ ( SV279 @ SY922 ) @ ( SV279 @ SY923 ) ) )
| ( ord_less_eq_set_val @ ( SV279 @ SV38 ) @ SV360 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1080]) ).
thf(1233,plain,
! [SV280: set_val,SV163: set_val,SV39: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV39 @ SV163 ) )
= $true )
| ( ( ord_less_eq_set_val @ SV39 @ ( sup_sup_set_val @ SV280 @ SV163 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1081]) ).
thf(1234,plain,
! [SV164: set_val,SV40: set_val] :
( ( ( SV40 = SV164 )
= $false )
| ( ( ord_less_eq_set_val @ SV164 @ SV40 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1082]) ).
thf(1235,plain,
! [SV281: $o,SV165: $o > set_val,SV41: $o > set_val] :
( ( ( ~ ( ord_le994826475et_val @ SV41 @ SV165 ) )
= $true )
| ( ( ord_less_eq_set_val @ ( SV41 @ SV281 ) @ ( SV165 @ SV281 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1083]) ).
thf(1236,plain,
! [SV165: $o > set_val,SV41: $o > set_val] :
( ( ( ~ ( ord_le994826475et_val @ SV41 @ SV165 ) )
= $true )
| ( ( ord_less_eq_set_val @ ( SV41 @ $true ) @ ( SV165 @ $true ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1084]) ).
thf(1237,plain,
! [SV165: $o > set_val,SV41: $o > set_val] :
( ( ( ~ ( ord_le994826475et_val @ SV41 @ SV165 ) )
= $true )
| ( ( ord_less_eq_set_val @ ( SV41 @ $false ) @ ( SV165 @ $false ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1085]) ).
thf(1238,plain,
! [SV361: set_val,SV282: set_val > set_val,SV166: set_val,SV42: set_val] :
( ( ~ ( ord_less_eq_set_val @ SV42 @ SV166 )
| ~ ( ord_less_eq_set_val @ ( SV282 @ SV166 ) @ SV361 )
| ~ ! [SY925: set_val,SY926: set_val] :
( ~ ( ord_less_eq_set_val @ SY925 @ SY926 )
| ( ord_less_eq_set_val @ ( SV282 @ SY925 ) @ ( SV282 @ SY926 ) ) )
| ( ord_less_eq_set_val @ ( SV282 @ SV42 ) @ SV361 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1086]) ).
thf(1239,plain,
! [SV362: set_val,SV167: set_val] :
( ( ( SV167 = SV362 )
= ( ~ ( ~ ( ord_less_eq_set_val @ SV167 @ SV362 )
| ~ ( ord_less_eq_set_val @ SV362 @ SV167 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1087]) ).
thf(1240,plain,
! [SV168: val > $o,SV44: val > $o] :
( ( ( ~ ( ( ord_less_eq_set_val @ ( collect_val @ SV44 ) @ ( collect_val @ SV168 ) )
| ! [SY763: val] :
( ~ ( SV44 @ SY763 )
| ( SV168 @ SY763 ) ) ) )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_set_val @ ( collect_val @ SV44 ) @ ( collect_val @ SV168 ) )
| ~ ! [SY763: val] :
( ~ ( SV44 @ SY763 )
| ( SV168 @ SY763 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1089]) ).
thf(1241,plain,
! [SV363: set_val,SV284: set_val,SV169: set_val > set_set_val,SV45: set_set_val] :
( ( ( SV45
!= ( SV169 @ SV284 ) )
| ~ ( ord_less_eq_set_val @ SV284 @ SV363 )
| ~ ! [SY766: set_val,SY767: set_val] :
( ~ ( ord_less_eq_set_val @ SY766 @ SY767 )
| ( ord_le1742111550et_val @ ( SV169 @ SY766 ) @ ( SV169 @ SY767 ) ) )
| ( ord_le1742111550et_val @ SV45 @ ( SV169 @ SV363 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1091]) ).
thf(1242,plain,
! [SV364: set_val,SV285: set_set_val > set_val,SV170: set_set_val,SV46: set_set_val] :
( ( ~ ( ord_le1742111550et_val @ SV46 @ SV170 )
| ~ ( ord_less_eq_set_val @ ( SV285 @ SV170 ) @ SV364 )
| ~ ! [SY931: set_set_val,SY932: set_set_val] :
( ~ ( ord_le1742111550et_val @ SY931 @ SY932 )
| ( ord_less_eq_set_val @ ( SV285 @ SY931 ) @ ( SV285 @ SY932 ) ) )
| ( ord_less_eq_set_val @ ( SV285 @ SV46 ) @ SV364 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1092]) ).
thf(1243,plain,
! [SV171: set_val,SV47: set_val] :
( ( ( ord_less_set_val @ SV47 @ SV171 )
= $false )
| ( ( ord_less_eq_set_val @ SV47 @ SV171 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1093]) ).
thf(1244,plain,
! [SV365: set_val,SV286: set_val,SV172: set_val,SV48: set_val] :
( ( ( SV48 != SV172 )
| ~ ( ord_less_eq_set_val @ SV172 @ SV286 )
| ( SV286 != SV365 )
| ( ord_less_eq_set_val @ SV48 @ SV365 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1094]) ).
thf(1245,plain,
! [SV366: set_set_val,SV287: set_set_val,SV173: set_set_val > set_val,SV49: set_val] :
( ( ( SV49
!= ( SV173 @ SV287 ) )
| ~ ( ord_le1742111550et_val @ SV287 @ SV366 )
| ~ ! [SY776: set_set_val,SY777: set_set_val] :
( ~ ( ord_le1742111550et_val @ SY776 @ SY777 )
| ( ord_less_eq_set_val @ ( SV173 @ SY776 ) @ ( SV173 @ SY777 ) ) )
| ( ord_less_eq_set_val @ SV49 @ ( SV173 @ SV366 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1095]) ).
thf(1246,plain,
! [SV288: set_val,SV174: set_val,SV50: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV50 @ SV174 ) )
= $true )
| ( ( ~ ( ord_less_eq_set_val @ SV174 @ SV288 )
| ( ord_less_eq_set_val @ SV50 @ SV288 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1096]) ).
thf(1247,plain,
! [SV367: set_val,SV175: set_val] :
( ( ( ord_less_eq_set_val @ SV175 @ SV367 )
= ( ! [SY1014: val] :
( ~ ( member_val @ SY1014 @ SV175 )
| ( member_val @ SY1014 @ SV367 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1097]) ).
thf(1248,plain,
! [SV176: set_val,SV52: set_val] :
( ( ( ! [SY781: val] :
( ~ ( member_val @ SY781 @ SV52 )
| ( member_val @ SY781 @ SV176 ) ) )
= $false )
| ( ( ord_less_eq_set_val @ SV52 @ SV176 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1099]) ).
thf(1249,plain,
! [SV368: set_val,SV290: val > set_val,SV177: val,SV53: val] :
( ( ~ ( ord_less_eq_val @ SV53 @ SV177 )
| ~ ( ord_less_eq_set_val @ ( SV290 @ SV177 ) @ SV368 )
| ~ ! [SY939: val,SY940: val] :
( ~ ( ord_less_eq_val @ SY939 @ SY940 )
| ( ord_less_eq_set_val @ ( SV290 @ SY939 ) @ ( SV290 @ SY940 ) ) )
| ( ord_less_eq_set_val @ ( SV290 @ SV53 ) @ SV368 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1100]) ).
thf(1250,plain,
! [SV291: set_val,SV178: set_val,SV54: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV54 @ SV178 ) )
= $true )
| ( ( ~ ( ord_less_set_val @ SV178 @ SV291 )
| ( ord_less_set_val @ SV54 @ SV291 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1101]) ).
thf(1251,plain,
! [SV179: set_val,SV55: set_val] :
( ( ( ord_less_eq_set_val @ SV55 @ SV179 )
= $false )
| ( ( ~ ( ord_less_eq_set_val @ SV179 @ SV55 )
| ( SV55 = SV179 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1102]) ).
thf(1252,plain,
! [SV292: set_val,SV180: set_val,SV56: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV56 @ SV180 ) )
= $true )
| ( ( ( SV180 != SV292 )
| ( ord_less_eq_set_val @ SV56 @ SV292 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1103]) ).
thf(1253,plain,
! [SV181: set_val,SV57: set_val > $o] :
( ( ( SV57 @ SV181 )
= $false )
| ( ( ~ ! [SY788: set_val] :
( ~ ( SV57 @ SY788 )
| ( ord_less_eq_set_val @ SY788 @ SV181 ) )
| ( ( order_1960465943et_val @ SV57 )
= SV181 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1104]) ).
thf(1254,plain,
! [SV369: set_val,SV293: set_val,SV182: set_val,SV58: set_val] :
( ( ! [SY1017: $o] :
( ~ ( ord_less_eq_set_val @ SV58 @ SV182 )
| ~ ( ord_less_eq_set_val @ SV293 @ SV369 )
| ( ord_less_eq_set_val @ ( if_set_val @ SY1017 @ SV58 @ SV293 ) @ ( if_set_val @ SY1017 @ SV182 @ SV369 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1105]) ).
thf(1255,plain,
! [SV370: set_val,SV183: set_val] :
( ( ( SV183 = SV370 )
= ( ~ ( ~ ( ord_less_eq_set_val @ SV183 @ SV370 )
| ~ ( ord_less_eq_set_val @ SV370 @ SV183 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1106]) ).
thf(1256,plain,
! [SV371: set_val,SV295: set_val > set_val,SV184: set_val,SV60: set_val] :
( ( ~ ( ord_less_eq_set_val @ SV60 @ SV184 )
| ~ ( ord_less_set_val @ ( SV295 @ SV184 ) @ SV371 )
| ~ ! [SY944: set_val,SY945: set_val] :
( ~ ( ord_less_eq_set_val @ SY944 @ SY945 )
| ( ord_less_eq_set_val @ ( SV295 @ SY944 ) @ ( SV295 @ SY945 ) ) )
| ( ord_less_set_val @ ( SV295 @ SV60 ) @ SV371 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1108]) ).
thf(1257,plain,
! [SV185: set_val,SV61: set_val] :
( ( ( ord_less_eq_set_val @ SV61 @ SV185 )
= $false )
| ( ( ( ~ ( ord_less_set_val @ SV61 @ SV185 ) )
= ( SV61 = SV185 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1109]) ).
thf(1258,plain,
! [SV296: set_val,SV186: set_val,SV62: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV62 @ SV186 ) )
= $true )
| ( ( ~ ( ord_less_set_val @ SV186 @ SV296 )
| ( ord_less_set_val @ SV62 @ SV296 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1110]) ).
thf(1259,plain,
! [SV187: set_val,SV63: set_val] :
( ( ( ord_less_eq_set_val @ SV63 @ SV187 )
= $false )
| ( ( ord_less_eq_set_val @ SV63 @ SV187 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1111]) ).
thf(1260,plain,
! [SV372: val,SV297: set_val > val,SV188: set_val,SV64: set_val] :
( ( ~ ( ord_less_eq_set_val @ SV64 @ SV188 )
| ( ( SV297 @ SV188 )
!= SV372 )
| ~ ! [SY947: set_val,SY948: set_val] :
( ~ ( ord_less_eq_set_val @ SY947 @ SY948 )
| ( ord_less_eq_val @ ( SV297 @ SY947 ) @ ( SV297 @ SY948 ) ) )
| ( ord_less_eq_val @ ( SV297 @ SV64 ) @ SV372 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1112]) ).
thf(1261,plain,
! [SV189: set_val,SV65: set_val] :
( ( ( SV65 != SV189 )
= $false )
| ( ( ~ ( ord_less_eq_set_val @ SV65 @ SV189 )
| ( ord_less_set_val @ SV65 @ SV189 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1113]) ).
thf(1262,plain,
! [SV373: set_val,SV298: set_val > set_val,SV190: set_val,SV66: set_val] :
( ( ~ ( ord_less_eq_set_val @ SV66 @ SV190 )
| ( ( SV298 @ SV190 )
!= SV373 )
| ~ ! [SY950: set_val,SY951: set_val] :
( ~ ( ord_less_eq_set_val @ SY950 @ SY951 )
| ( ord_less_eq_set_val @ ( SV298 @ SY950 ) @ ( SV298 @ SY951 ) ) )
| ( ord_less_eq_set_val @ ( SV298 @ SV66 ) @ SV373 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1114]) ).
thf(1263,plain,
! [SV191: val > $o,SV67: val > $o] :
( ( ( ! [SY807: val] :
( ~ ( SV67 @ SY807 )
| ( SV191 @ SY807 ) ) )
= $false )
| ( ( ord_less_eq_set_val @ ( collect_val @ SV67 ) @ ( collect_val @ SV191 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1115]) ).
thf(1264,plain,
! [SV299: set_val,SV192: set_val,SV68: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV68 @ SV192 ) )
= $true )
| ( ( ~ ( ord_less_set_val @ SV299 @ SV68 )
| ( ord_less_set_val @ SV299 @ SV192 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1116]) ).
thf(1265,plain,
! [SV300: val,SV193: set_val,SV69: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV69 @ SV193 ) )
= $true )
| ( ( ~ ( member_val @ SV300 @ SV69 )
| ( member_val @ SV300 @ SV193 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1117]) ).
thf(1266,plain,
! [SV374: $o > set_val,SV194: $o > set_val] :
( ( ( ord_le994826475et_val @ SV194 @ SV374 )
= ( ~ ( ~ ( ord_less_eq_set_val @ ( SV194 @ $false ) @ ( SV374 @ $false ) )
| ~ ( ord_less_eq_set_val @ ( SV194 @ $true ) @ ( SV374 @ $true ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1118]) ).
thf(1267,plain,
! [SV302: set_val,SV195: set_val,SV71: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV71 @ SV195 ) )
= $true )
| ( ( ~ ( ord_less_eq_set_val @ SV302 @ SV195 )
| ( ord_less_eq_set_val @ ( sup_sup_set_val @ SV71 @ SV302 ) @ SV195 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1120]) ).
thf(1268,plain,
! [SV303: $o,SV196: $o > set_val,SV72: $o > set_val] :
( ( ( ~ ( ord_le994826475et_val @ SV72 @ SV196 ) )
= $true )
| ( ( ord_less_eq_set_val @ ( SV72 @ SV303 ) @ ( SV196 @ SV303 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1121]) ).
thf(1269,plain,
! [SV196: $o > set_val,SV72: $o > set_val] :
( ( ( ~ ( ord_le994826475et_val @ SV72 @ SV196 ) )
= $true )
| ( ( ord_less_eq_set_val @ ( SV72 @ $true ) @ ( SV196 @ $true ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1122]) ).
thf(1270,plain,
! [SV196: $o > set_val,SV72: $o > set_val] :
( ( ( ~ ( ord_le994826475et_val @ SV72 @ SV196 ) )
= $true )
| ( ( ord_less_eq_set_val @ ( SV72 @ $false ) @ ( SV196 @ $false ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1123]) ).
thf(1271,plain,
! [SV197: set_val,SV73: set_val] :
( ( ( ord_less_eq_set_val @ SV73 @ SV197 )
= $false )
| ( ( ( ord_less_set_val @ SV73 @ SV197 )
| ( SV73 = SV197 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1124]) ).
thf(1272,plain,
! [SV304: set_val,SV198: set_val,SV74: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV74 @ SV198 ) )
= $true )
| ( ( ~ ( ord_less_set_val @ SV198 @ SV304 )
| ( ord_less_set_val @ SV74 @ SV304 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1125]) ).
thf(1273,plain,
! [SV199: set_val,SV75: set_val] :
( ( ( ord_less_eq_set_val @ SV75 @ SV199 )
= $false )
| ( ( ( ord_less_eq_set_val @ SV199 @ SV75 )
= ( SV199 = SV75 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1126]) ).
thf(1274,plain,
! [SV200: set_val,SV76: set_val] :
( ( ( ord_less_eq_set_val @ ( uminus1961393973et_val @ SV76 ) @ SV200 )
= $false )
| ( ( ord_less_eq_set_val @ ( uminus1961393973et_val @ SV200 ) @ SV76 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1127]) ).
thf(1275,plain,
! [SV305: set_val,SV201: set_val,SV77: set_val > set_val] :
( ( ( ~ ( order_1719375026et_val @ SV77 ) )
= $true )
| ( ( ~ ( ord_less_eq_set_val @ SV201 @ SV305 )
| ( ord_less_eq_set_val @ ( SV77 @ SV305 ) @ ( SV77 @ SV201 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1128]) ).
thf(1276,plain,
! [SV202: set_val,SV78: set_val] :
( ( ( ord_less_eq_set_val @ SV78 @ ( uminus1961393973et_val @ SV202 ) )
= $false )
| ( ( ord_less_eq_set_val @ SV202 @ ( uminus1961393973et_val @ SV78 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1129]) ).
thf(1277,plain,
! [SV306: set_val,SV203: set_val,SV79: set_val] :
( ( ( ~ ( ord_less_set_val @ SV79 @ SV203 ) )
= $true )
| ( ( ~ ( ord_less_eq_set_val @ SV203 @ SV306 )
| ( ord_less_set_val @ SV79 @ SV306 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1130]) ).
thf(1278,plain,
! [SV375: set_val,SV307: set_val,SV204: set_val,SV80: set_val] :
( ( ( ( set_or1554624499et_val @ SV80 @ SV204 )
= ( set_or1554624499et_val @ SV307 @ SV375 ) )
= ( ~ ( ( SV80 != SV307 )
| ( SV204 != SV375 ) )
| ~ ( ~ ~ ( ord_less_eq_set_val @ SV80 @ SV204 )
| ~ ~ ( ord_less_eq_set_val @ SV307 @ SV375 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1131]) ).
thf(1279,plain,
! [SV308: set_val,SV205: set_val,SV81: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV81 @ SV205 ) )
= $true )
| ( ( ~ ( ord_less_eq_set_val @ SV205 @ SV308 )
| ( ord_less_eq_set_val @ SV81 @ SV308 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1132]) ).
thf(1280,plain,
! [SV376: set_val,SV206: set_val] :
( ( ( ord_less_set_val @ SV206 @ SV376 )
= ( ~ ( ~ ( ord_less_eq_set_val @ SV206 @ SV376 )
| ~ ( ( SV206 != SV376 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1133]) ).
thf(1281,plain,
! [SV377: val,SV310: val,SV207: val > set_val,SV83: set_val] :
( ( ( SV83
!= ( SV207 @ SV310 ) )
| ~ ( ord_less_eq_val @ SV310 @ SV377 )
| ~ ! [SY822: val,SY823: val] :
( ~ ( ord_less_eq_val @ SY822 @ SY823 )
| ( ord_less_eq_set_val @ ( SV207 @ SY822 ) @ ( SV207 @ SY823 ) ) )
| ( ord_less_eq_set_val @ SV83 @ ( SV207 @ SV377 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1135]) ).
thf(1282,plain,
! [SV311: set_val,SV208: set_val,SV84: set_val] :
( ( ( ~ ( ord_less_set_val @ SV84 @ SV208 ) )
= $true )
| ( ( ~ ( ord_less_eq_set_val @ SV208 @ SV311 )
| ( ord_less_set_val @ SV84 @ SV311 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1136]) ).
thf(1283,plain,
! [SV209: set_val,SV85: set_val] :
( ( ( ord_less_eq_set_val @ SV85 @ SV209 )
= $false )
| ( ( ~ ( ( SV85 != SV209 ) )
| ( ord_less_set_val @ SV85 @ SV209 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1137]) ).
thf(1284,plain,
! [SV312: set_val,SV210: set_val,SV86: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV86 @ SV210 ) )
= $true )
| ( ( ord_less_eq_set_val @ SV86 @ ( sup_sup_set_val @ SV210 @ SV312 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1138]) ).
thf(1285,plain,
! [SV378: set_val,SV211: set_val] :
( ( ( ord_less_set_val @ SV211 @ SV378 )
= ( ~ ( ~ ( ord_less_eq_set_val @ SV211 @ SV378 )
| ~ ~ ( ord_less_eq_set_val @ SV378 @ SV211 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1139]) ).
thf(1286,plain,
! [SV314: val,SV212: set_val,SV88: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV88 @ SV212 ) )
= $true )
| ( ( ~ ( member_val @ SV314 @ SV88 )
| ( member_val @ SV314 @ SV212 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1141]) ).
thf(1287,plain,
! [SV213: set_val,SV89: set_val] :
( ( ( ord_less_eq_set_val @ SV89 @ SV213 )
= $false )
| ( ( ~ ( ( SV89 != SV213 ) )
| ( ord_less_set_val @ SV89 @ SV213 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1142]) ).
thf(1288,plain,
! [SV379: set_set_val,SV315: set_set_val,SV214: set_set_val > set_val,SV90: set_val] :
( ( ~ ( ord_less_eq_set_val @ SV90 @ ( SV214 @ SV315 ) )
| ~ ( ord_le1742111550et_val @ SV315 @ SV379 )
| ~ ! [SY830: set_set_val,SY831: set_set_val] :
( ~ ( ord_le1742111550et_val @ SY830 @ SY831 )
| ( ord_less_eq_set_val @ ( SV214 @ SY830 ) @ ( SV214 @ SY831 ) ) )
| ( ord_less_eq_set_val @ SV90 @ ( SV214 @ SV379 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1143]) ).
thf(1289,plain,
! [SV316: set_val,SV215: set_val,SV91: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ ( sup_sup_set_val @ SV91 @ SV215 ) @ SV316 ) )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_set_val @ SV91 @ SV316 )
| ~ ( ord_less_eq_set_val @ SV215 @ SV316 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1144]) ).
thf(1290,plain,
! [SV380: set_val,SV317: set_val,SV216: set_val > set_val,SV92: set_val] :
( ( ~ ( ord_less_set_val @ SV92 @ ( SV216 @ SV317 ) )
| ~ ( ord_less_eq_set_val @ SV317 @ SV380 )
| ~ ! [SY835: set_val,SY836: set_val] :
( ~ ( ord_less_eq_set_val @ SY835 @ SY836 )
| ( ord_less_eq_set_val @ ( SV216 @ SY835 ) @ ( SV216 @ SY836 ) ) )
| ( ord_less_set_val @ SV92 @ ( SV216 @ SV380 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1145]) ).
thf(1291,plain,
! [SV217: set_val,SV93: set_val] :
( ( ( ~ ( ord_less_set_val @ SV93 @ SV217 ) )
= $false )
| ( ( ( ord_less_eq_set_val @ SV93 @ SV217 )
= ( SV93 = SV217 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1146]) ).
thf(1292,plain,
! [SV318: set_val,SV218: set_val,SV94: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV94 @ SV218 ) )
= $true )
| ( ( ~ ( ord_less_eq_set_val @ SV318 @ SV94 )
| ( ord_less_eq_set_val @ SV318 @ SV218 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1147]) ).
thf(1293,plain,
! [SV219: set_val,SV95: set_val] :
( ( ( SV95 = SV219 )
= $false )
| ( ( ord_less_eq_set_val @ SV95 @ SV219 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1148]) ).
thf(1294,plain,
! [SV220: set_val,SV96: set_val] :
( ( ( ord_less_eq_set_val @ SV96 @ SV220 )
= $false )
| ( ( ~ ( ord_less_eq_set_val @ SV220 @ SV96 )
| ( SV96 = SV220 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1149]) ).
thf(1295,plain,
! [SV319: set_val,SV221: set_val > set_val,SV97: set_val > set_val] :
( ( ( ~ ( refine1929691018et_val @ SV97 @ SV221 ) )
= $true )
| ( ( ord_less_eq_set_val @ SV319 @ ( SV221 @ ( SV97 @ SV319 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1150]) ).
thf(1296,plain,
! [SV381: set_val,SV222: set_val] :
( ( ( SV222 = SV381 )
= ( ~ ( ~ ( ord_less_eq_set_val @ SV381 @ SV222 )
| ~ ( ord_less_eq_set_val @ SV222 @ SV381 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1151]) ).
thf(1297,plain,
! [SV382: set_val,SV321: set_val,SV223: set_val,SV99: $o] :
( ( ! [SY1030: set_val] :
( ~ ( ~ SV99
| ( ord_less_eq_set_val @ SV223 @ SV321 ) )
| ~ ( ~ ~ SV99
| ( ord_less_eq_set_val @ SV382 @ SY1030 ) )
| ( ord_less_eq_set_val @ ( if_set_val @ SV99 @ SV223 @ SV382 ) @ ( if_set_val @ SV99 @ SV321 @ SY1030 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1153]) ).
thf(1298,plain,
! [SV383: set_val,SV322: set_val,SV224: set_val] :
( ( ! [SY1031: set_val] :
( ~ ( ~ $true
| ( ord_less_eq_set_val @ SV224 @ SV322 ) )
| ~ ( ~ ~ $true
| ( ord_less_eq_set_val @ SV383 @ SY1031 ) )
| ( ord_less_eq_set_val @ ( if_set_val @ $true @ SV224 @ SV383 ) @ ( if_set_val @ $true @ SV322 @ SY1031 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1154]) ).
thf(1299,plain,
! [SV384: set_val,SV323: set_val,SV225: set_val] :
( ( ! [SY1032: set_val] :
( ~ ( ~ $false
| ( ord_less_eq_set_val @ SV225 @ SV323 ) )
| ~ ( ~ ~ $false
| ( ord_less_eq_set_val @ SV384 @ SY1032 ) )
| ( ord_less_eq_set_val @ ( if_set_val @ $false @ SV225 @ SV384 ) @ ( if_set_val @ $false @ SV323 @ SY1032 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1155]) ).
thf(1300,plain,
! [SV385: set_val,SV226: set_val] :
( ( ( ord_less_eq_set_val @ SV226 @ SV385 )
= ( ! [SY1033: val] :
( ~ ( member_val @ SY1033 @ SV226 )
| ( member_val @ SY1033 @ SV385 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1156]) ).
thf(1301,plain,
! [SV386: set_val,SV325: set_val,SV227: set_val > set_val,SV101: set_val] :
( ( ~ ( ord_less_eq_set_val @ SV101 @ ( SV227 @ SV325 ) )
| ~ ( ord_less_eq_set_val @ SV325 @ SV386 )
| ~ ! [SY854: set_val,SY855: set_val] :
( ~ ( ord_less_eq_set_val @ SY854 @ SY855 )
| ( ord_less_eq_set_val @ ( SV227 @ SY854 ) @ ( SV227 @ SY855 ) ) )
| ( ord_less_eq_set_val @ SV101 @ ( SV227 @ SV386 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1158]) ).
thf(1302,plain,
! [SV228: set_val,SV102: set_val] :
( ( ( ord_less_eq_set_val @ SV102 @ SV228 )
= $false )
| ( ( ord_less_eq_set_val @ ( uminus1961393973et_val @ SV228 ) @ ( uminus1961393973et_val @ SV102 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1159]) ).
thf(1303,plain,
! [SV229: set_val,SV103: set_val] :
( ( ( ord_less_eq_set_val @ SV103 @ SV229 )
= $false )
| ( ( ~ ( ord_less_eq_set_val @ SV229 @ SV103 )
| ( SV229 = SV103 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1160]) ).
thf(1304,plain,
! [SV230: set_val,SV104: set_val] :
( ( ( ord_less_eq_set_val @ SV104 @ SV230 )
= $false )
| ( ( ~ ( ord_less_eq_set_val @ SV230 @ SV104 )
| ( SV104 = SV230 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1161]) ).
thf(1305,plain,
! [SV231: set_val,SV105: set_val] :
( ( ( ord_less_eq_set_val @ SV105 @ SV231 )
= $false )
| ( ( ~ ( ord_less_set_val @ SV231 @ SV105 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1162]) ).
thf(1306,plain,
! [SV232: set_val > set_val] :
( ( ( ~ ( ( order_1719375026et_val @ SV232 )
| ! [SY856: set_val,SY857: set_val] :
( ~ ( ord_less_eq_set_val @ SY856 @ SY857 )
| ( ord_less_eq_set_val @ ( SV232 @ SY857 ) @ ( SV232 @ SY856 ) ) ) ) )
= $true )
| ( ( ~ ( ~ ( order_1719375026et_val @ SV232 )
| ~ ! [SY856: set_val,SY857: set_val] :
( ~ ( ord_less_eq_set_val @ SY856 @ SY857 )
| ( ord_less_eq_set_val @ ( SV232 @ SY857 ) @ ( SV232 @ SY856 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1163]) ).
thf(1307,plain,
! [SV233: set_val,SV107: set_val] :
( ( ( ord_less_set_val @ SV107 @ SV233 )
= $false )
| ( ( ord_less_eq_set_val @ SV107 @ SV233 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1165]) ).
thf(1308,plain,
! [SV387: set_val,SV326: set_val,SV234: set_val > val,SV108: val] :
( ( ( SV108
!= ( SV234 @ SV326 ) )
| ~ ( ord_less_eq_set_val @ SV326 @ SV387 )
| ~ ! [SY860: set_val,SY861: set_val] :
( ~ ( ord_less_eq_set_val @ SY860 @ SY861 )
| ( ord_less_eq_val @ ( SV234 @ SY860 ) @ ( SV234 @ SY861 ) ) )
| ( ord_less_eq_val @ SV108 @ ( SV234 @ SV387 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1166]) ).
thf(1309,plain,
! [SV388: val,SV327: set_val > val,SV235: set_val,SV109: set_val] :
( ( ~ ( ord_less_eq_set_val @ SV109 @ SV235 )
| ~ ( ord_less_eq_val @ ( SV327 @ SV235 ) @ SV388 )
| ~ ! [SY976: set_val,SY977: set_val] :
( ~ ( ord_less_eq_set_val @ SY976 @ SY977 )
| ( ord_less_eq_val @ ( SV327 @ SY976 ) @ ( SV327 @ SY977 ) ) )
| ( ord_less_eq_val @ ( SV327 @ SV109 ) @ SV388 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1167]) ).
thf(1310,plain,
! [SV389: set_val,SV328: set_set_val > set_val,SV236: set_set_val,SV110: set_set_val] :
( ( ~ ( ord_le1742111550et_val @ SV110 @ SV236 )
| ( ( SV328 @ SV236 )
!= SV389 )
| ~ ! [SY979: set_set_val,SY980: set_set_val] :
( ~ ( ord_le1742111550et_val @ SY979 @ SY980 )
| ( ord_less_eq_set_val @ ( SV328 @ SY979 ) @ ( SV328 @ SY980 ) ) )
| ( ord_less_eq_set_val @ ( SV328 @ SV110 ) @ SV389 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1168]) ).
thf(1311,plain,
! [SV329: set_val,SV237: set_val,SV111: set_val > set_val] :
( ( ( ~ ( order_1719375026et_val @ SV111 ) )
= $true )
| ( ( ~ ( ord_less_eq_set_val @ SV237 @ SV329 )
| ( ord_less_eq_set_val @ ( SV111 @ SV329 ) @ ( SV111 @ SV237 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1169]) ).
thf(1312,plain,
! [SV390: set_val,SV330: set_val,SV238: set_val,SV112: $o] :
( ( ~ ( ~ SV112
| ( ord_less_eq_set_val @ SV238 @ SV330 ) )
| ~ ( ~ ~ SV112
| ( ord_less_eq_set_val @ SV390 @ SV330 ) )
| ( ord_less_eq_set_val @ ( if_set_val @ SV112 @ SV238 @ SV390 ) @ SV330 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1170]) ).
thf(1313,plain,
! [SV391: set_val,SV331: set_val,SV239: set_val] :
( ( ~ ( ~ $true
| ( ord_less_eq_set_val @ SV239 @ SV331 ) )
| ~ ( ~ ~ $true
| ( ord_less_eq_set_val @ SV391 @ SV331 ) )
| ( ord_less_eq_set_val @ ( if_set_val @ $true @ SV239 @ SV391 ) @ SV331 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1171]) ).
thf(1314,plain,
! [SV392: set_val,SV332: set_val,SV240: set_val] :
( ( ~ ( ~ $false
| ( ord_less_eq_set_val @ SV240 @ SV332 ) )
| ~ ( ~ ~ $false
| ( ord_less_eq_set_val @ SV392 @ SV332 ) )
| ( ord_less_eq_set_val @ ( if_set_val @ $false @ SV240 @ SV392 ) @ SV332 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1172]) ).
thf(1315,plain,
! [SV393: set_val,SV333: set_val,SV241: set_val > set_val,SV113: set_val] :
( ( ( SV113
!= ( SV241 @ SV333 ) )
| ~ ( ord_less_eq_set_val @ SV333 @ SV393 )
| ~ ! [SY879: set_val,SY880: set_val] :
( ~ ( ord_less_eq_set_val @ SY879 @ SY880 )
| ( ord_less_eq_set_val @ ( SV241 @ SY879 ) @ ( SV241 @ SY880 ) ) )
| ( ord_less_eq_set_val @ SV113 @ ( SV241 @ SV393 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1173]) ).
thf(1316,plain,
! [SV242: set_val,SV114: set_val] :
( ( ( ord_less_set_val @ SV114 @ SV242 )
= $false )
| ( ( ord_less_eq_set_val @ SV114 @ SV242 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1174]) ).
thf(1317,plain,
! [SV334: set_val > $o,SV243: set_val,SV115: set_val > $o] :
( ( ( ~ ( SV115 @ SV243 ) )
= $true )
| ( ( ~ ! [SY882: set_val] :
( ~ ( SV115 @ SY882 )
| ( ord_less_eq_set_val @ SY882 @ SV243 ) )
| ~ ! [SY988: set_val] :
( ~ ( SV115 @ SY988 )
| ~ ! [SY677: set_val] :
( ~ ( SV115 @ SY677 )
| ( ord_less_eq_set_val @ SY677 @ SY988 ) )
| ( SV334 @ SY988 ) )
| ( SV334 @ ( order_1960465943et_val @ SV115 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1175]) ).
thf(1318,plain,
! [SV394: set_val,SV244: set_val] :
( ( ( ord_less_set_val @ SV244 @ SV394 )
= ( ~ ( ~ ( ord_less_eq_set_val @ SV244 @ SV394 )
| ~ ( ( SV394 != SV244 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1176]) ).
thf(1319,plain,
! [SV336: set_val,SV245: set_val,SV117: set_val] :
( ( ~ ( ( ord_less_eq_set_val @ ( sup_sup_set_val @ SV117 @ SV245 ) @ SV336 )
| ~ ( ~ ( ord_less_eq_set_val @ SV117 @ SV336 )
| ~ ( ord_less_eq_set_val @ SV245 @ SV336 ) ) )
| ~ ( ~ ( ord_less_eq_set_val @ ( sup_sup_set_val @ SV117 @ SV245 ) @ SV336 )
| ~ ~ ( ~ ( ord_less_eq_set_val @ SV117 @ SV336 )
| ~ ( ord_less_eq_set_val @ SV245 @ SV336 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1178]) ).
thf(1320,plain,
! [SV336: set_val,SV245: set_val,SV117: set_val] :
( ( ( ord_less_eq_set_val @ ( sup_sup_set_val @ SV117 @ SV245 ) @ SV336 )
= ( ~ ( ~ ( ord_less_eq_set_val @ SV117 @ SV336 )
| ~ ( ord_less_eq_set_val @ SV245 @ SV336 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1178]) ).
thf(1321,plain,
! [SV246: set_val > set_val,SV118: set_val > set_val] :
( ( ( ! [SY887: set_val,SY888: set_val] :
( ( ord_less_eq_set_val @ SY887 @ ( SV118 @ SY888 ) )
= ( ord_less_eq_set_val @ ( SV246 @ SY887 ) @ SY888 ) ) )
= $false )
| ( ( refine1929691018et_val @ SV246 @ SV118 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1179]) ).
thf(1322,plain,
! [SV247: set_val,SV119: set_val] :
( ( ( ord_less_set_val @ SV119 @ SV247 )
= $false )
| ( ( ord_less_eq_set_val @ SV119 @ SV247 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1180]) ).
thf(1323,plain,
! [SV248: set_val,SV120: set_val] :
( ( ( ord_less_eq_set_val @ SV120 @ SV248 )
= $false )
| ( ( ( sup_sup_set_val @ SV120 @ SV248 )
= SV248 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1181]) ).
thf(1324,plain,
! [SV337: set_val,SV249: set_val,SV121: set_val] :
( ( ( ~ ( ord_less_set_val @ SV121 @ SV249 ) )
= $true )
| ( ( ~ ( ord_less_eq_set_val @ SV249 @ SV337 )
| ( ord_less_set_val @ SV121 @ SV337 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1182]) ).
thf(1325,plain,
! [SV338: set_val,SV250: set_val > set_val,SV122: set_val > set_val] :
( ( ( ~ ( refine1929691018et_val @ SV122 @ SV250 ) )
= $true )
| ( ( ord_less_eq_set_val @ ( SV122 @ ( SV250 @ SV338 ) ) @ SV338 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1183]) ).
thf(1326,plain,
! [SV339: set_val,SV251: set_val,SV123: set_val] :
( ( ( SV123 != SV251 )
= $true )
| ( ( ~ ( ord_less_eq_set_val @ SV251 @ SV339 )
| ( ord_less_eq_set_val @ SV123 @ SV339 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1184]) ).
thf(1327,plain,
! [SV252: set_val,SV124: set_val] :
( ( ( ord_less_eq_set_val @ SV124 @ SV252 )
= $false )
| ( ( ( sup_sup_set_val @ SV124 @ SV252 )
= SV252 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1185]) ).
thf(1328,plain,
! [SV395: set_val,SV340: set_val,SV253: set_val > set_val,SV125: set_val > set_val] :
( ( ~ ( refine1929691018et_val @ SV125 @ SV253 )
| ( ( ord_less_eq_set_val @ SV340 @ ( SV253 @ SV395 ) )
= ( ord_less_eq_set_val @ ( SV125 @ SV340 ) @ SV395 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1186]) ).
thf(1329,plain,
! [SV254: $o > set_val,SV126: $o > set_val] :
( ( ( ! [SY894: $o] : ( ord_less_eq_set_val @ ( SV126 @ SY894 ) @ ( SV254 @ SY894 ) ) )
= $false )
| ( ( ord_le994826475et_val @ SV126 @ SV254 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1187]) ).
thf(1330,plain,
! [SV255: set_val,SV127: set_val] :
( ( ( SV127
= ( sup_sup_set_val @ SV127 @ SV255 ) )
= $false )
| ( ( ord_less_eq_set_val @ SV255 @ SV127 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1188]) ).
thf(1331,plain,
! [SV128: set_val > set_val] :
( ( ( ! [SY1044: set_val] :
( ~ ( ord_less_eq_set_val @ ( sK1_SY699 @ SV128 ) @ SY1044 )
| ( ord_less_eq_set_val @ ( SV128 @ SY1044 ) @ ( SV128 @ ( sK1_SY699 @ SV128 ) ) ) ) )
= $false )
| ( ( order_1719375026et_val @ SV128 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1189]) ).
thf(1332,plain,
! [SV341: set_val,SV256: set_val,SV129: set_val] :
( ( ( ~ ( ord_less_set_val @ SV129 @ SV256 ) )
= $true )
| ( ( ~ ( ord_less_eq_set_val @ SV341 @ SV129 )
| ( ord_less_set_val @ SV341 @ SV256 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1190]) ).
thf(1333,plain,
! [SV342: $o > set_val,SV130: $o > set_val] :
( ( ~ ( ( ord_le994826475et_val @ SV130 @ SV342 )
| ! [SY991: $o] : ( ord_less_eq_set_val @ ( SV130 @ SY991 ) @ ( SV342 @ SY991 ) ) )
| ~ ( ~ ( ord_le994826475et_val @ SV130 @ SV342 )
| ~ ! [SY991: $o] : ( ord_less_eq_set_val @ ( SV130 @ SY991 ) @ ( SV342 @ SY991 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1191]) ).
thf(1334,plain,
! [SV342: $o > set_val,SV130: $o > set_val] :
( ( ( ord_le994826475et_val @ SV130 @ SV342 )
= ( ! [SY991: $o] : ( ord_less_eq_set_val @ ( SV130 @ SY991 ) @ ( SV342 @ SY991 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1191]) ).
thf(1335,plain,
! [SV343: set_val > set_val,SV131: set_val > set_val] :
( ( ~ ( ( refine1929691018et_val @ SV131 @ SV343 )
| ! [SY992: set_val,SY993: set_val] :
( ( ord_less_eq_set_val @ SY992 @ ( SV343 @ SY993 ) )
= ( ord_less_eq_set_val @ ( SV131 @ SY992 ) @ SY993 ) ) )
| ~ ( ~ ( refine1929691018et_val @ SV131 @ SV343 )
| ~ ! [SY992: set_val,SY993: set_val] :
( ( ord_less_eq_set_val @ SY992 @ ( SV343 @ SY993 ) )
= ( ord_less_eq_set_val @ ( SV131 @ SY992 ) @ SY993 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1192]) ).
thf(1336,plain,
! [SV343: set_val > set_val,SV131: set_val > set_val] :
( ( ( refine1929691018et_val @ SV131 @ SV343 )
= ( ! [SY992: set_val,SY993: set_val] :
( ( ord_less_eq_set_val @ SY992 @ ( SV343 @ SY993 ) )
= ( ord_less_eq_set_val @ ( SV131 @ SY992 ) @ SY993 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1192]) ).
thf(1337,plain,
! [SV132: set_val,SV6: set_val] :
( ( ( ( ord_less_eq_set_val @ ( uminus1961393973et_val @ SV6 ) @ ( uminus1961393973et_val @ SV132 ) )
| ( ord_less_eq_set_val @ SV132 @ SV6 ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_val @ ( uminus1961393973et_val @ SV6 ) @ ( uminus1961393973et_val @ SV132 ) )
| ~ ( ord_less_eq_set_val @ SV132 @ SV6 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1193]) ).
thf(1338,plain,
! [SV344: set_val,SV133: set_val] :
( ( ~ ( ( ord_less_eq_set_val @ SV133 @ SV344 )
| ( ord_less_set_val @ SV133 @ SV344 )
| ( SV133 = SV344 ) )
| ~ ( ~ ( ord_less_eq_set_val @ SV133 @ SV344 )
| ~ ( ( ord_less_set_val @ SV133 @ SV344 )
| ( SV133 = SV344 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1194]) ).
thf(1339,plain,
! [SV344: set_val,SV133: set_val] :
( ( ( ord_less_eq_set_val @ SV133 @ SV344 )
= ( ( ord_less_set_val @ SV133 @ SV344 )
| ( SV133 = SV344 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1194]) ).
thf(1340,plain,
! [SV345: set_val,SV134: set_val] :
( ( ~ ( ( ord_less_eq_set_val @ SV134 @ SV345 )
| ( ord_less_set_val @ SV134 @ SV345 )
| ( SV134 = SV345 ) )
| ~ ( ~ ( ord_less_eq_set_val @ SV134 @ SV345 )
| ~ ( ( ord_less_set_val @ SV134 @ SV345 )
| ( SV134 = SV345 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1195]) ).
thf(1341,plain,
! [SV345: set_val,SV134: set_val] :
( ( ( ord_less_eq_set_val @ SV134 @ SV345 )
= ( ( ord_less_set_val @ SV134 @ SV345 )
| ( SV134 = SV345 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1195]) ).
thf(1342,plain,
! [SV346: set_val,SV135: set_val] :
( ( ~ ( ( ord_less_eq_set_val @ SV135 @ SV346 )
| ( ord_less_set_val @ SV135 @ SV346 )
| ( SV346 = SV135 ) )
| ~ ( ~ ( ord_less_eq_set_val @ SV135 @ SV346 )
| ~ ( ( ord_less_set_val @ SV135 @ SV346 )
| ( SV346 = SV135 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1196]) ).
thf(1343,plain,
! [SV346: set_val,SV135: set_val] :
( ( ( ord_less_eq_set_val @ SV135 @ SV346 )
= ( ( ord_less_set_val @ SV135 @ SV346 )
| ( SV346 = SV135 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1196]) ).
thf(1344,plain,
! [SV347: set_val,SV136: set_val] :
( ( ~ ( ( ord_less_eq_set_val @ SV136 @ SV347 )
| ( ord_less_set_val @ SV136 @ SV347 )
| ( SV136 = SV347 ) )
| ~ ( ~ ( ord_less_eq_set_val @ SV136 @ SV347 )
| ~ ( ( ord_less_set_val @ SV136 @ SV347 )
| ( SV136 = SV347 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1197]) ).
thf(1345,plain,
! [SV347: set_val,SV136: set_val] :
( ( ( ord_less_eq_set_val @ SV136 @ SV347 )
= ( ( ord_less_set_val @ SV136 @ SV347 )
| ( SV136 = SV347 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1197]) ).
thf(1346,plain,
! [SV137: set_val,SV11: set_val] :
( ( ( ( ord_less_eq_set_val @ ( uminus1961393973et_val @ SV11 ) @ ( uminus1961393973et_val @ SV137 ) )
| ( ord_less_eq_set_val @ SV137 @ SV11 ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_val @ ( uminus1961393973et_val @ SV11 ) @ ( uminus1961393973et_val @ SV137 ) )
| ~ ( ord_less_eq_set_val @ SV137 @ SV11 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1198]) ).
thf(1347,plain,
! [SV348: set_val,SV138: set_val] :
( ( ~ ( ( ord_less_eq_set_val @ SV138 @ SV348 )
| ( ( sup_sup_set_val @ SV138 @ SV348 )
= SV348 ) )
| ~ ( ~ ( ord_less_eq_set_val @ SV138 @ SV348 )
| ( ( sup_sup_set_val @ SV138 @ SV348 )
!= SV348 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1199]) ).
thf(1348,plain,
! [SV348: set_val,SV138: set_val] :
( ( ( ord_less_eq_set_val @ SV138 @ SV348 )
= ( ( sup_sup_set_val @ SV138 @ SV348 )
= SV348 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1199]) ).
thf(1349,plain,
! [SV349: set_val,SV139: set_val] :
( ( ~ ( ( ord_less_eq_set_val @ SV139 @ SV349 )
| ( ( sup_sup_set_val @ SV349 @ SV139 )
= SV349 ) )
| ~ ( ~ ( ord_less_eq_set_val @ SV139 @ SV349 )
| ( ( sup_sup_set_val @ SV349 @ SV139 )
!= SV349 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1200]) ).
thf(1350,plain,
! [SV349: set_val,SV139: set_val] :
( ( ( ord_less_eq_set_val @ SV139 @ SV349 )
= ( ( sup_sup_set_val @ SV349 @ SV139 )
= SV349 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1200]) ).
thf(1351,plain,
! [SV350: set_val,SV142: set_val] :
( ( ~ ( ( ord_less_eq_set_val @ SV142 @ SV350 )
| ( SV350
= ( sup_sup_set_val @ SV350 @ SV142 ) ) )
| ~ ( ~ ( ord_less_eq_set_val @ SV142 @ SV350 )
| ( SV350
!= ( sup_sup_set_val @ SV350 @ SV142 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1201]) ).
thf(1352,plain,
! [SV350: set_val,SV142: set_val] :
( ( ( ord_less_eq_set_val @ SV142 @ SV350 )
= ( SV350
= ( sup_sup_set_val @ SV350 @ SV142 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1201]) ).
thf(1353,plain,
! [SV17: $o] :
( ( ( SV17
| $true )
= $false )
| ( ( ~ ( ~ SV17
| ~ $true ) )
= $true )
| ( ( SV17 = $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1202]) ).
thf(1354,plain,
! [SV17: $o] :
( ( ( ~ ( SV17
| $false ) )
= $true )
| ( ( ~ ( ~ SV17
| ~ $false ) )
= $true )
| ( ( SV17 = $true )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1203]) ).
thf(1355,plain,
( ( ( $true
| $true )
= $false )
| ( ( ~ ( ~ $true
| ~ $true ) )
= $true )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1205]) ).
thf(1356,plain,
( ( ( ~ ( $true
| $false ) )
= $true )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1206]) ).
thf(1357,plain,
( ( ( $false
| $true )
= $false )
| ( ( ~ ( ~ $false
| ~ $true ) )
= $true )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1208]) ).
thf(1358,plain,
( ( ( ~ ( $false
| $false ) )
= $true )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1209]) ).
thf(1359,plain,
! [SV266: set_val,SV144: set_val,SV19: set_val > set_val > set_val] :
( ( ( ! [SY437: set_val,SY438: set_val] : ( ord_less_eq_set_val @ SY437 @ ( SV19 @ SY437 @ SY438 ) ) )
= $false )
| ( ( ~ ! [SY439: set_val,SY440: set_val] : ( ord_less_eq_set_val @ SY440 @ ( SV19 @ SY439 @ SY440 ) )
| ~ ! [SY441: set_val,SY442: set_val,SY443: set_val] :
( ~ ( ord_less_eq_set_val @ SY442 @ SY441 )
| ~ ( ord_less_eq_set_val @ SY443 @ SY441 )
| ( ord_less_eq_set_val @ ( SV19 @ SY442 @ SY443 ) @ SY441 ) )
| ( ( sup_sup_set_val @ SV144 @ SV266 )
= ( SV19 @ SV144 @ SV266 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1212]) ).
thf(1360,plain,
! [SV145: set_val,SV20: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV20 @ SV145 )
| ( ord_less_eq_set_val @ SV145 @ SV20 ) )
= $false )
| ( ( ord_less_set_val @ SV20 @ SV145 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1213]) ).
thf(1361,plain,
! [SV267: set_val,SV146: set_val,SV21: set_val] :
( ( ( ord_less_eq_set_val @ SV21 @ SV146 )
= $false )
| ( ( ~ ( ord_less_eq_set_val @ SV146 @ SV267 )
| ( ord_less_eq_set_val @ SV21 @ SV267 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1214]) ).
thf(1362,plain,
! [SV351: val,SV268: val,SV147: val > set_val,SV22: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV22 @ ( SV147 @ SV268 ) ) )
= $true )
| ( ( ~ ( ord_less_eq_val @ SV268 @ SV351 )
| ~ ! [SY726: val,SY727: val] :
( ~ ( ord_less_eq_val @ SY726 @ SY727 )
| ( ord_less_eq_set_val @ ( SV147 @ SY726 ) @ ( SV147 @ SY727 ) ) )
| ( ord_less_eq_set_val @ SV22 @ ( SV147 @ SV351 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1215]) ).
thf(1363,plain,
! [SV352: set_set_val,SV269: set_val > set_set_val,SV148: set_val,SV24: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV24 @ SV148 ) )
= $true )
| ( ( ~ ( ord_le1742111550et_val @ ( SV269 @ SV148 ) @ SV352 )
| ~ ! [SY910: set_val,SY911: set_val] :
( ~ ( ord_less_eq_set_val @ SY910 @ SY911 )
| ( ord_le1742111550et_val @ ( SV269 @ SY910 ) @ ( SV269 @ SY911 ) ) )
| ( ord_le1742111550et_val @ ( SV269 @ SV24 ) @ SV352 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1216]) ).
thf(1364,plain,
! [SV353: set_val,SV149: set_val] :
( ( ~ ( ( ord_less_set_val @ SV149 @ SV353 )
| ~ ( ~ ( ord_less_eq_set_val @ SV149 @ SV353 )
| ~ ( ( SV149 != SV353 ) ) ) )
| ~ ( ~ ( ord_less_set_val @ SV149 @ SV353 )
| ~ ~ ( ~ ( ord_less_eq_set_val @ SV149 @ SV353 )
| ~ ( ( SV149 != SV353 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1217]) ).
thf(1365,plain,
! [SV353: set_val,SV149: set_val] :
( ( ( ord_less_set_val @ SV149 @ SV353 )
= ( ~ ( ~ ( ord_less_eq_set_val @ SV149 @ SV353 )
| ~ ( ( SV149 != SV353 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1217]) ).
thf(1366,plain,
! [SV354: set_val,SV150: set_val] :
( ( ~ ( ( SV150 = SV354 )
| ~ ( ~ ( ord_less_eq_set_val @ SV150 @ SV354 )
| ~ ( ord_less_eq_set_val @ SV354 @ SV150 ) ) )
| ~ ( ( SV150 != SV354 )
| ~ ~ ( ~ ( ord_less_eq_set_val @ SV150 @ SV354 )
| ~ ( ord_less_eq_set_val @ SV354 @ SV150 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1218]) ).
thf(1367,plain,
! [SV354: set_val,SV150: set_val] :
( ( ( SV150 = SV354 )
= ( ~ ( ~ ( ord_less_eq_set_val @ SV150 @ SV354 )
| ~ ( ord_less_eq_set_val @ SV354 @ SV150 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1218]) ).
thf(1368,plain,
! [SV355: set_val,SV272: set_val,SV151: set_val > set_set_val,SV27: set_set_val] :
( ( ( ~ ( ord_le1742111550et_val @ SV27 @ ( SV151 @ SV272 ) ) )
= $true )
| ( ( ~ ( ord_less_eq_set_val @ SV272 @ SV355 )
| ~ ! [SY737: set_val,SY738: set_val] :
( ~ ( ord_less_eq_set_val @ SY737 @ SY738 )
| ( ord_le1742111550et_val @ ( SV151 @ SY737 ) @ ( SV151 @ SY738 ) ) )
| ( ord_le1742111550et_val @ SV27 @ ( SV151 @ SV355 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1219]) ).
thf(1369,plain,
! [SV356: set_val,SV152: set_val] :
( ( ~ ( ( ord_less_set_val @ SV152 @ SV356 )
| ~ ( ~ ( ord_less_eq_set_val @ SV152 @ SV356 )
| ~ ~ ( ord_less_eq_set_val @ SV356 @ SV152 ) ) )
| ~ ( ~ ( ord_less_set_val @ SV152 @ SV356 )
| ~ ~ ( ~ ( ord_less_eq_set_val @ SV152 @ SV356 )
| ~ ~ ( ord_less_eq_set_val @ SV356 @ SV152 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1220]) ).
thf(1370,plain,
! [SV356: set_val,SV152: set_val] :
( ( ( ord_less_set_val @ SV152 @ SV356 )
= ( ~ ( ~ ( ord_less_eq_set_val @ SV152 @ SV356 )
| ~ ~ ( ord_less_eq_set_val @ SV356 @ SV152 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1220]) ).
thf(1371,plain,
! [SV357: set_val,SV153: set_val] :
( ( ~ ( ( ord_less_set_val @ SV153 @ SV357 )
| ~ ( ~ ( ord_less_eq_set_val @ SV153 @ SV357 )
| ~ ( ( SV153 != SV357 ) ) ) )
| ~ ( ~ ( ord_less_set_val @ SV153 @ SV357 )
| ~ ~ ( ~ ( ord_less_eq_set_val @ SV153 @ SV357 )
| ~ ( ( SV153 != SV357 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1221]) ).
thf(1372,plain,
! [SV357: set_val,SV153: set_val] :
( ( ( ord_less_set_val @ SV153 @ SV357 )
= ( ~ ( ~ ( ord_less_eq_set_val @ SV153 @ SV357 )
| ~ ( ( SV153 != SV357 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1221]) ).
thf(1373,plain,
! [SV155: set_val,SV31: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV31 @ SV155 )
| ~ ( ord_less_eq_set_val @ SV155 @ SV31 ) )
= $false )
| ( ( SV31 = SV155 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1223]) ).
thf(1374,plain,
! [SV275: set_val,SV156: set_val,SV32: set_val] :
( ( ( ~ ( ( ord_less_eq_set_val @ ( sup_sup_set_val @ SV32 @ SV156 ) @ SV275 )
| ~ ( ~ ( ord_less_eq_set_val @ SV32 @ SV275 )
| ~ ( ord_less_eq_set_val @ SV156 @ SV275 ) ) ) )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_set_val @ ( sup_sup_set_val @ SV32 @ SV156 ) @ SV275 )
| ~ ~ ( ~ ( ord_less_eq_set_val @ SV32 @ SV275 )
| ~ ( ord_less_eq_set_val @ SV156 @ SV275 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1224]) ).
thf(1375,plain,
! [SV358: set_val,SV276: set_val,SV157: set_val > val,SV33: val] :
( ( ( ~ ( ord_less_eq_val @ SV33 @ ( SV157 @ SV276 ) ) )
= $true )
| ( ( ~ ( ord_less_eq_set_val @ SV276 @ SV358 )
| ~ ! [SY744: set_val,SY745: set_val] :
( ~ ( ord_less_eq_set_val @ SY744 @ SY745 )
| ( ord_less_eq_val @ ( SV157 @ SY744 ) @ ( SV157 @ SY745 ) ) )
| ( ord_less_eq_val @ SV33 @ ( SV157 @ SV358 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1226]) ).
thf(1376,plain,
! [SV277: set_val,SV159: set_val,SV35: set_val] :
( ( ( ~ ( ( ord_less_eq_set_val @ ( sup_sup_set_val @ SV35 @ SV159 ) @ SV277 )
| ~ ( ~ ( ord_less_eq_set_val @ SV35 @ SV277 )
| ~ ( ord_less_eq_set_val @ SV159 @ SV277 ) ) ) )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_set_val @ ( sup_sup_set_val @ SV35 @ SV159 ) @ SV277 )
| ~ ~ ( ~ ( ord_less_eq_set_val @ SV35 @ SV277 )
| ~ ( ord_less_eq_set_val @ SV159 @ SV277 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1228]) ).
thf(1377,plain,
! [SV359: set_set_val,SV278: set_val > set_set_val,SV160: set_val,SV36: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV36 @ SV160 ) )
= $true )
| ( ( ( ( SV278 @ SV160 )
!= SV359 )
| ~ ! [SY919: set_val,SY920: set_val] :
( ~ ( ord_less_eq_set_val @ SY919 @ SY920 )
| ( ord_le1742111550et_val @ ( SV278 @ SY919 ) @ ( SV278 @ SY920 ) ) )
| ( ord_le1742111550et_val @ ( SV278 @ SV36 ) @ SV359 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1230]) ).
thf(1378,plain,
! [SV360: set_val,SV279: val > set_val,SV162: val,SV38: val] :
( ( ( ~ ( ord_less_eq_val @ SV38 @ SV162 ) )
= $true )
| ( ( ( ( SV279 @ SV162 )
!= SV360 )
| ~ ! [SY922: val,SY923: val] :
( ~ ( ord_less_eq_val @ SY922 @ SY923 )
| ( ord_less_eq_set_val @ ( SV279 @ SY922 ) @ ( SV279 @ SY923 ) ) )
| ( ord_less_eq_set_val @ ( SV279 @ SV38 ) @ SV360 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1232]) ).
thf(1379,plain,
! [SV280: set_val,SV163: set_val,SV39: set_val] :
( ( ( ord_less_eq_set_val @ SV39 @ SV163 )
= $false )
| ( ( ord_less_eq_set_val @ SV39 @ ( sup_sup_set_val @ SV280 @ SV163 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1233]) ).
thf(1380,plain,
! [SV281: $o,SV165: $o > set_val,SV41: $o > set_val] :
( ( ( ord_le994826475et_val @ SV41 @ SV165 )
= $false )
| ( ( ord_less_eq_set_val @ ( SV41 @ SV281 ) @ ( SV165 @ SV281 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1235]) ).
thf(1381,plain,
! [SV165: $o > set_val,SV41: $o > set_val] :
( ( ( ord_le994826475et_val @ SV41 @ SV165 )
= $false )
| ( ( ord_less_eq_set_val @ ( SV41 @ $true ) @ ( SV165 @ $true ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1236]) ).
thf(1382,plain,
! [SV165: $o > set_val,SV41: $o > set_val] :
( ( ( ord_le994826475et_val @ SV41 @ SV165 )
= $false )
| ( ( ord_less_eq_set_val @ ( SV41 @ $false ) @ ( SV165 @ $false ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1237]) ).
thf(1383,plain,
! [SV361: set_val,SV282: set_val > set_val,SV166: set_val,SV42: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV42 @ SV166 ) )
= $true )
| ( ( ~ ( ord_less_eq_set_val @ ( SV282 @ SV166 ) @ SV361 )
| ~ ! [SY925: set_val,SY926: set_val] :
( ~ ( ord_less_eq_set_val @ SY925 @ SY926 )
| ( ord_less_eq_set_val @ ( SV282 @ SY925 ) @ ( SV282 @ SY926 ) ) )
| ( ord_less_eq_set_val @ ( SV282 @ SV42 ) @ SV361 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1238]) ).
thf(1384,plain,
! [SV362: set_val,SV167: set_val] :
( ( ~ ( ( SV167 = SV362 )
| ~ ( ~ ( ord_less_eq_set_val @ SV167 @ SV362 )
| ~ ( ord_less_eq_set_val @ SV362 @ SV167 ) ) )
| ~ ( ( SV167 != SV362 )
| ~ ~ ( ~ ( ord_less_eq_set_val @ SV167 @ SV362 )
| ~ ( ord_less_eq_set_val @ SV362 @ SV167 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1239]) ).
thf(1385,plain,
! [SV362: set_val,SV167: set_val] :
( ( ( SV167 = SV362 )
= ( ~ ( ~ ( ord_less_eq_set_val @ SV167 @ SV362 )
| ~ ( ord_less_eq_set_val @ SV362 @ SV167 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1239]) ).
thf(1386,plain,
! [SV168: val > $o,SV44: val > $o] :
( ( ( ( ord_less_eq_set_val @ ( collect_val @ SV44 ) @ ( collect_val @ SV168 ) )
| ! [SY763: val] :
( ~ ( SV44 @ SY763 )
| ( SV168 @ SY763 ) ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_val @ ( collect_val @ SV44 ) @ ( collect_val @ SV168 ) )
| ~ ! [SY763: val] :
( ~ ( SV44 @ SY763 )
| ( SV168 @ SY763 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1240]) ).
thf(1387,plain,
! [SV363: set_val,SV284: set_val,SV169: set_val > set_set_val,SV45: set_set_val] :
( ( ( SV45
!= ( SV169 @ SV284 ) )
= $true )
| ( ( ~ ( ord_less_eq_set_val @ SV284 @ SV363 )
| ~ ! [SY766: set_val,SY767: set_val] :
( ~ ( ord_less_eq_set_val @ SY766 @ SY767 )
| ( ord_le1742111550et_val @ ( SV169 @ SY766 ) @ ( SV169 @ SY767 ) ) )
| ( ord_le1742111550et_val @ SV45 @ ( SV169 @ SV363 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1241]) ).
thf(1388,plain,
! [SV364: set_val,SV285: set_set_val > set_val,SV170: set_set_val,SV46: set_set_val] :
( ( ( ~ ( ord_le1742111550et_val @ SV46 @ SV170 ) )
= $true )
| ( ( ~ ( ord_less_eq_set_val @ ( SV285 @ SV170 ) @ SV364 )
| ~ ! [SY931: set_set_val,SY932: set_set_val] :
( ~ ( ord_le1742111550et_val @ SY931 @ SY932 )
| ( ord_less_eq_set_val @ ( SV285 @ SY931 ) @ ( SV285 @ SY932 ) ) )
| ( ord_less_eq_set_val @ ( SV285 @ SV46 ) @ SV364 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1242]) ).
thf(1389,plain,
! [SV365: set_val,SV286: set_val,SV172: set_val,SV48: set_val] :
( ( ( SV48 != SV172 )
= $true )
| ( ( ~ ( ord_less_eq_set_val @ SV172 @ SV286 )
| ( SV286 != SV365 )
| ( ord_less_eq_set_val @ SV48 @ SV365 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1244]) ).
thf(1390,plain,
! [SV366: set_set_val,SV287: set_set_val,SV173: set_set_val > set_val,SV49: set_val] :
( ( ( SV49
!= ( SV173 @ SV287 ) )
= $true )
| ( ( ~ ( ord_le1742111550et_val @ SV287 @ SV366 )
| ~ ! [SY776: set_set_val,SY777: set_set_val] :
( ~ ( ord_le1742111550et_val @ SY776 @ SY777 )
| ( ord_less_eq_set_val @ ( SV173 @ SY776 ) @ ( SV173 @ SY777 ) ) )
| ( ord_less_eq_set_val @ SV49 @ ( SV173 @ SV366 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1245]) ).
thf(1391,plain,
! [SV288: set_val,SV174: set_val,SV50: set_val] :
( ( ( ord_less_eq_set_val @ SV50 @ SV174 )
= $false )
| ( ( ~ ( ord_less_eq_set_val @ SV174 @ SV288 )
| ( ord_less_eq_set_val @ SV50 @ SV288 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1246]) ).
thf(1392,plain,
! [SV367: set_val,SV175: set_val] :
( ( ~ ( ( ord_less_eq_set_val @ SV175 @ SV367 )
| ! [SY1014: val] :
( ~ ( member_val @ SY1014 @ SV175 )
| ( member_val @ SY1014 @ SV367 ) ) )
| ~ ( ~ ( ord_less_eq_set_val @ SV175 @ SV367 )
| ~ ! [SY1014: val] :
( ~ ( member_val @ SY1014 @ SV175 )
| ( member_val @ SY1014 @ SV367 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1247]) ).
thf(1393,plain,
! [SV367: set_val,SV175: set_val] :
( ( ( ord_less_eq_set_val @ SV175 @ SV367 )
= ( ! [SY1014: val] :
( ~ ( member_val @ SY1014 @ SV175 )
| ( member_val @ SY1014 @ SV367 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1247]) ).
thf(1394,plain,
! [SV52: set_val,SV176: set_val] :
( ( ( ~ ( member_val @ ( sK2_SY781 @ SV176 @ SV52 ) @ SV52 )
| ( member_val @ ( sK2_SY781 @ SV176 @ SV52 ) @ SV176 ) )
= $false )
| ( ( ord_less_eq_set_val @ SV52 @ SV176 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1248]) ).
thf(1395,plain,
! [SV368: set_val,SV290: val > set_val,SV177: val,SV53: val] :
( ( ( ~ ( ord_less_eq_val @ SV53 @ SV177 ) )
= $true )
| ( ( ~ ( ord_less_eq_set_val @ ( SV290 @ SV177 ) @ SV368 )
| ~ ! [SY939: val,SY940: val] :
( ~ ( ord_less_eq_val @ SY939 @ SY940 )
| ( ord_less_eq_set_val @ ( SV290 @ SY939 ) @ ( SV290 @ SY940 ) ) )
| ( ord_less_eq_set_val @ ( SV290 @ SV53 ) @ SV368 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1249]) ).
thf(1396,plain,
! [SV291: set_val,SV178: set_val,SV54: set_val] :
( ( ( ord_less_eq_set_val @ SV54 @ SV178 )
= $false )
| ( ( ~ ( ord_less_set_val @ SV178 @ SV291 )
| ( ord_less_set_val @ SV54 @ SV291 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1250]) ).
thf(1397,plain,
! [SV55: set_val,SV179: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV179 @ SV55 ) )
= $true )
| ( ( SV55 = SV179 )
= $true )
| ( ( ord_less_eq_set_val @ SV55 @ SV179 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1251]) ).
thf(1398,plain,
! [SV292: set_val,SV180: set_val,SV56: set_val] :
( ( ( ord_less_eq_set_val @ SV56 @ SV180 )
= $false )
| ( ( ( SV180 != SV292 )
| ( ord_less_eq_set_val @ SV56 @ SV292 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1252]) ).
thf(1399,plain,
! [SV181: set_val,SV57: set_val > $o] :
( ( ( ~ ! [SY788: set_val] :
( ~ ( SV57 @ SY788 )
| ( ord_less_eq_set_val @ SY788 @ SV181 ) ) )
= $true )
| ( ( ( order_1960465943et_val @ SV57 )
= SV181 )
= $true )
| ( ( SV57 @ SV181 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1253]) ).
thf(1400,plain,
! [SV396: $o,SV369: set_val,SV293: set_val,SV182: set_val,SV58: set_val] :
( ( ~ ( ord_less_eq_set_val @ SV58 @ SV182 )
| ~ ( ord_less_eq_set_val @ SV293 @ SV369 )
| ( ord_less_eq_set_val @ ( if_set_val @ SV396 @ SV58 @ SV293 ) @ ( if_set_val @ SV396 @ SV182 @ SV369 ) ) )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[1254]) ).
thf(1401,plain,
! [SV369: set_val,SV293: set_val,SV182: set_val,SV58: set_val] :
( ( ~ ( ord_less_eq_set_val @ SV58 @ SV182 )
| ~ ( ord_less_eq_set_val @ SV293 @ SV369 )
| ( ord_less_eq_set_val @ ( if_set_val @ $true @ SV58 @ SV293 ) @ ( if_set_val @ $true @ SV182 @ SV369 ) ) )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[1254]) ).
thf(1402,plain,
! [SV369: set_val,SV293: set_val,SV182: set_val,SV58: set_val] :
( ( ~ ( ord_less_eq_set_val @ SV58 @ SV182 )
| ~ ( ord_less_eq_set_val @ SV293 @ SV369 )
| ( ord_less_eq_set_val @ ( if_set_val @ $false @ SV58 @ SV293 ) @ ( if_set_val @ $false @ SV182 @ SV369 ) ) )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[1254]) ).
thf(1403,plain,
! [SV370: set_val,SV183: set_val] :
( ( ~ ( ( SV183 = SV370 )
| ~ ( ~ ( ord_less_eq_set_val @ SV183 @ SV370 )
| ~ ( ord_less_eq_set_val @ SV370 @ SV183 ) ) )
| ~ ( ( SV183 != SV370 )
| ~ ~ ( ~ ( ord_less_eq_set_val @ SV183 @ SV370 )
| ~ ( ord_less_eq_set_val @ SV370 @ SV183 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1255]) ).
thf(1404,plain,
! [SV370: set_val,SV183: set_val] :
( ( ( SV183 = SV370 )
= ( ~ ( ~ ( ord_less_eq_set_val @ SV183 @ SV370 )
| ~ ( ord_less_eq_set_val @ SV370 @ SV183 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1255]) ).
thf(1405,plain,
! [SV371: set_val,SV295: set_val > set_val,SV184: set_val,SV60: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV60 @ SV184 ) )
= $true )
| ( ( ~ ( ord_less_set_val @ ( SV295 @ SV184 ) @ SV371 )
| ~ ! [SY944: set_val,SY945: set_val] :
( ~ ( ord_less_eq_set_val @ SY944 @ SY945 )
| ( ord_less_eq_set_val @ ( SV295 @ SY944 ) @ ( SV295 @ SY945 ) ) )
| ( ord_less_set_val @ ( SV295 @ SV60 ) @ SV371 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1256]) ).
thf(1406,plain,
! [SV185: set_val,SV61: set_val] :
( ( ( ~ ( ~ ( ord_less_set_val @ SV61 @ SV185 )
| ( SV61 = SV185 ) )
| ~ ( ~ ~ ( ord_less_set_val @ SV61 @ SV185 )
| ( SV61 != SV185 ) ) )
= $true )
| ( ( ord_less_eq_set_val @ SV61 @ SV185 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1257]) ).
thf(1407,plain,
! [SV185: set_val,SV61: set_val] :
( ( ( ( ~ ( ord_less_set_val @ SV61 @ SV185 ) )
= ( SV61 = SV185 ) )
= $true )
| ( ( ord_less_eq_set_val @ SV61 @ SV185 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1257]) ).
thf(1408,plain,
! [SV296: set_val,SV186: set_val,SV62: set_val] :
( ( ( ord_less_eq_set_val @ SV62 @ SV186 )
= $false )
| ( ( ~ ( ord_less_set_val @ SV186 @ SV296 )
| ( ord_less_set_val @ SV62 @ SV296 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1258]) ).
thf(1409,plain,
! [SV372: val,SV297: set_val > val,SV188: set_val,SV64: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV64 @ SV188 ) )
= $true )
| ( ( ( ( SV297 @ SV188 )
!= SV372 )
| ~ ! [SY947: set_val,SY948: set_val] :
( ~ ( ord_less_eq_set_val @ SY947 @ SY948 )
| ( ord_less_eq_val @ ( SV297 @ SY947 ) @ ( SV297 @ SY948 ) ) )
| ( ord_less_eq_val @ ( SV297 @ SV64 ) @ SV372 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1260]) ).
thf(1410,plain,
! [SV189: set_val,SV65: set_val] :
( ( ( SV65 = SV189 )
= $true )
| ( ( ~ ( ord_less_eq_set_val @ SV65 @ SV189 )
| ( ord_less_set_val @ SV65 @ SV189 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1261]) ).
thf(1411,plain,
! [SV373: set_val,SV298: set_val > set_val,SV190: set_val,SV66: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV66 @ SV190 ) )
= $true )
| ( ( ( ( SV298 @ SV190 )
!= SV373 )
| ~ ! [SY950: set_val,SY951: set_val] :
( ~ ( ord_less_eq_set_val @ SY950 @ SY951 )
| ( ord_less_eq_set_val @ ( SV298 @ SY950 ) @ ( SV298 @ SY951 ) ) )
| ( ord_less_eq_set_val @ ( SV298 @ SV66 ) @ SV373 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1262]) ).
thf(1412,plain,
! [SV191: val > $o,SV67: val > $o] :
( ( ( ~ ( SV67 @ ( sK3_SY807 @ SV191 @ SV67 ) )
| ( SV191 @ ( sK3_SY807 @ SV191 @ SV67 ) ) )
= $false )
| ( ( ord_less_eq_set_val @ ( collect_val @ SV67 ) @ ( collect_val @ SV191 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1263]) ).
thf(1413,plain,
! [SV299: set_val,SV192: set_val,SV68: set_val] :
( ( ( ord_less_eq_set_val @ SV68 @ SV192 )
= $false )
| ( ( ~ ( ord_less_set_val @ SV299 @ SV68 )
| ( ord_less_set_val @ SV299 @ SV192 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1264]) ).
thf(1414,plain,
! [SV300: val,SV193: set_val,SV69: set_val] :
( ( ( ord_less_eq_set_val @ SV69 @ SV193 )
= $false )
| ( ( ~ ( member_val @ SV300 @ SV69 )
| ( member_val @ SV300 @ SV193 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1265]) ).
thf(1415,plain,
! [SV374: $o > set_val,SV194: $o > set_val] :
( ( ~ ( ( ord_le994826475et_val @ SV194 @ SV374 )
| ~ ( ~ ( ord_less_eq_set_val @ ( SV194 @ $false ) @ ( SV374 @ $false ) )
| ~ ( ord_less_eq_set_val @ ( SV194 @ $true ) @ ( SV374 @ $true ) ) ) )
| ~ ( ~ ( ord_le994826475et_val @ SV194 @ SV374 )
| ~ ~ ( ~ ( ord_less_eq_set_val @ ( SV194 @ $false ) @ ( SV374 @ $false ) )
| ~ ( ord_less_eq_set_val @ ( SV194 @ $true ) @ ( SV374 @ $true ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1266]) ).
thf(1416,plain,
! [SV374: $o > set_val,SV194: $o > set_val] :
( ( ( ord_le994826475et_val @ SV194 @ SV374 )
= ( ~ ( ~ ( ord_less_eq_set_val @ ( SV194 @ $false ) @ ( SV374 @ $false ) )
| ~ ( ord_less_eq_set_val @ ( SV194 @ $true ) @ ( SV374 @ $true ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1266]) ).
thf(1417,plain,
! [SV302: set_val,SV195: set_val,SV71: set_val] :
( ( ( ord_less_eq_set_val @ SV71 @ SV195 )
= $false )
| ( ( ~ ( ord_less_eq_set_val @ SV302 @ SV195 )
| ( ord_less_eq_set_val @ ( sup_sup_set_val @ SV71 @ SV302 ) @ SV195 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1267]) ).
thf(1418,plain,
! [SV303: $o,SV196: $o > set_val,SV72: $o > set_val] :
( ( ( ord_le994826475et_val @ SV72 @ SV196 )
= $false )
| ( ( ord_less_eq_set_val @ ( SV72 @ SV303 ) @ ( SV196 @ SV303 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1268]) ).
thf(1419,plain,
! [SV196: $o > set_val,SV72: $o > set_val] :
( ( ( ord_le994826475et_val @ SV72 @ SV196 )
= $false )
| ( ( ord_less_eq_set_val @ ( SV72 @ $true ) @ ( SV196 @ $true ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1269]) ).
thf(1420,plain,
! [SV196: $o > set_val,SV72: $o > set_val] :
( ( ( ord_le994826475et_val @ SV72 @ SV196 )
= $false )
| ( ( ord_less_eq_set_val @ ( SV72 @ $false ) @ ( SV196 @ $false ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1270]) ).
thf(1421,plain,
! [SV197: set_val,SV73: set_val] :
( ( ( ord_less_set_val @ SV73 @ SV197 )
= $true )
| ( ( SV73 = SV197 )
= $true )
| ( ( ord_less_eq_set_val @ SV73 @ SV197 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1271]) ).
thf(1422,plain,
! [SV304: set_val,SV198: set_val,SV74: set_val] :
( ( ( ord_less_eq_set_val @ SV74 @ SV198 )
= $false )
| ( ( ~ ( ord_less_set_val @ SV198 @ SV304 )
| ( ord_less_set_val @ SV74 @ SV304 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1272]) ).
thf(1423,plain,
! [SV75: set_val,SV199: set_val] :
( ( ( ~ ( ( ord_less_eq_set_val @ SV199 @ SV75 )
| ( SV199 = SV75 ) )
| ~ ( ~ ( ord_less_eq_set_val @ SV199 @ SV75 )
| ( SV199 != SV75 ) ) )
= $true )
| ( ( ord_less_eq_set_val @ SV75 @ SV199 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1273]) ).
thf(1424,plain,
! [SV75: set_val,SV199: set_val] :
( ( ( ( ord_less_eq_set_val @ SV199 @ SV75 )
= ( SV199 = SV75 ) )
= $true )
| ( ( ord_less_eq_set_val @ SV75 @ SV199 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1273]) ).
thf(1425,plain,
! [SV305: set_val,SV201: set_val,SV77: set_val > set_val] :
( ( ( order_1719375026et_val @ SV77 )
= $false )
| ( ( ~ ( ord_less_eq_set_val @ SV201 @ SV305 )
| ( ord_less_eq_set_val @ ( SV77 @ SV305 ) @ ( SV77 @ SV201 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1275]) ).
thf(1426,plain,
! [SV306: set_val,SV203: set_val,SV79: set_val] :
( ( ( ord_less_set_val @ SV79 @ SV203 )
= $false )
| ( ( ~ ( ord_less_eq_set_val @ SV203 @ SV306 )
| ( ord_less_set_val @ SV79 @ SV306 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1277]) ).
thf(1427,plain,
! [SV375: set_val,SV307: set_val,SV204: set_val,SV80: set_val] :
( ( ~ ( ( ( set_or1554624499et_val @ SV80 @ SV204 )
= ( set_or1554624499et_val @ SV307 @ SV375 ) )
| ~ ( ( SV80 != SV307 )
| ( SV204 != SV375 ) )
| ~ ( ~ ~ ( ord_less_eq_set_val @ SV80 @ SV204 )
| ~ ~ ( ord_less_eq_set_val @ SV307 @ SV375 ) ) )
| ~ ( ( ( set_or1554624499et_val @ SV80 @ SV204 )
!= ( set_or1554624499et_val @ SV307 @ SV375 ) )
| ~ ( ~ ( ( SV80 != SV307 )
| ( SV204 != SV375 ) )
| ~ ( ~ ~ ( ord_less_eq_set_val @ SV80 @ SV204 )
| ~ ~ ( ord_less_eq_set_val @ SV307 @ SV375 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1278]) ).
thf(1428,plain,
! [SV375: set_val,SV307: set_val,SV204: set_val,SV80: set_val] :
( ( ( ( set_or1554624499et_val @ SV80 @ SV204 )
= ( set_or1554624499et_val @ SV307 @ SV375 ) )
= ( ~ ( ( SV80 != SV307 )
| ( SV204 != SV375 ) )
| ~ ( ~ ~ ( ord_less_eq_set_val @ SV80 @ SV204 )
| ~ ~ ( ord_less_eq_set_val @ SV307 @ SV375 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1278]) ).
thf(1429,plain,
! [SV308: set_val,SV205: set_val,SV81: set_val] :
( ( ( ord_less_eq_set_val @ SV81 @ SV205 )
= $false )
| ( ( ~ ( ord_less_eq_set_val @ SV205 @ SV308 )
| ( ord_less_eq_set_val @ SV81 @ SV308 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1279]) ).
thf(1430,plain,
! [SV376: set_val,SV206: set_val] :
( ( ~ ( ( ord_less_set_val @ SV206 @ SV376 )
| ~ ( ~ ( ord_less_eq_set_val @ SV206 @ SV376 )
| ~ ( ( SV206 != SV376 ) ) ) )
| ~ ( ~ ( ord_less_set_val @ SV206 @ SV376 )
| ~ ~ ( ~ ( ord_less_eq_set_val @ SV206 @ SV376 )
| ~ ( ( SV206 != SV376 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1280]) ).
thf(1431,plain,
! [SV376: set_val,SV206: set_val] :
( ( ( ord_less_set_val @ SV206 @ SV376 )
= ( ~ ( ~ ( ord_less_eq_set_val @ SV206 @ SV376 )
| ~ ( ( SV206 != SV376 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1280]) ).
thf(1432,plain,
! [SV377: val,SV310: val,SV207: val > set_val,SV83: set_val] :
( ( ( SV83
!= ( SV207 @ SV310 ) )
= $true )
| ( ( ~ ( ord_less_eq_val @ SV310 @ SV377 )
| ~ ! [SY822: val,SY823: val] :
( ~ ( ord_less_eq_val @ SY822 @ SY823 )
| ( ord_less_eq_set_val @ ( SV207 @ SY822 ) @ ( SV207 @ SY823 ) ) )
| ( ord_less_eq_set_val @ SV83 @ ( SV207 @ SV377 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1281]) ).
thf(1433,plain,
! [SV311: set_val,SV208: set_val,SV84: set_val] :
( ( ( ord_less_set_val @ SV84 @ SV208 )
= $false )
| ( ( ~ ( ord_less_eq_set_val @ SV208 @ SV311 )
| ( ord_less_set_val @ SV84 @ SV311 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1282]) ).
thf(1434,plain,
! [SV209: set_val,SV85: set_val] :
( ( ( ~ ( ( SV85 != SV209 ) ) )
= $true )
| ( ( ord_less_set_val @ SV85 @ SV209 )
= $true )
| ( ( ord_less_eq_set_val @ SV85 @ SV209 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1283]) ).
thf(1435,plain,
! [SV312: set_val,SV210: set_val,SV86: set_val] :
( ( ( ord_less_eq_set_val @ SV86 @ SV210 )
= $false )
| ( ( ord_less_eq_set_val @ SV86 @ ( sup_sup_set_val @ SV210 @ SV312 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1284]) ).
thf(1436,plain,
! [SV378: set_val,SV211: set_val] :
( ( ~ ( ( ord_less_set_val @ SV211 @ SV378 )
| ~ ( ~ ( ord_less_eq_set_val @ SV211 @ SV378 )
| ~ ~ ( ord_less_eq_set_val @ SV378 @ SV211 ) ) )
| ~ ( ~ ( ord_less_set_val @ SV211 @ SV378 )
| ~ ~ ( ~ ( ord_less_eq_set_val @ SV211 @ SV378 )
| ~ ~ ( ord_less_eq_set_val @ SV378 @ SV211 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1285]) ).
thf(1437,plain,
! [SV378: set_val,SV211: set_val] :
( ( ( ord_less_set_val @ SV211 @ SV378 )
= ( ~ ( ~ ( ord_less_eq_set_val @ SV211 @ SV378 )
| ~ ~ ( ord_less_eq_set_val @ SV378 @ SV211 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1285]) ).
thf(1438,plain,
! [SV314: val,SV212: set_val,SV88: set_val] :
( ( ( ord_less_eq_set_val @ SV88 @ SV212 )
= $false )
| ( ( ~ ( member_val @ SV314 @ SV88 )
| ( member_val @ SV314 @ SV212 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1286]) ).
thf(1439,plain,
! [SV213: set_val,SV89: set_val] :
( ( ( ~ ( ( SV89 != SV213 ) ) )
= $true )
| ( ( ord_less_set_val @ SV89 @ SV213 )
= $true )
| ( ( ord_less_eq_set_val @ SV89 @ SV213 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1287]) ).
thf(1440,plain,
! [SV379: set_set_val,SV315: set_set_val,SV214: set_set_val > set_val,SV90: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV90 @ ( SV214 @ SV315 ) ) )
= $true )
| ( ( ~ ( ord_le1742111550et_val @ SV315 @ SV379 )
| ~ ! [SY830: set_set_val,SY831: set_set_val] :
( ~ ( ord_le1742111550et_val @ SY830 @ SY831 )
| ( ord_less_eq_set_val @ ( SV214 @ SY830 ) @ ( SV214 @ SY831 ) ) )
| ( ord_less_eq_set_val @ SV90 @ ( SV214 @ SV379 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1288]) ).
thf(1441,plain,
! [SV316: set_val,SV215: set_val,SV91: set_val] :
( ( ( ord_less_eq_set_val @ ( sup_sup_set_val @ SV91 @ SV215 ) @ SV316 )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_val @ SV91 @ SV316 )
| ~ ( ord_less_eq_set_val @ SV215 @ SV316 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1289]) ).
thf(1442,plain,
! [SV380: set_val,SV317: set_val,SV216: set_val > set_val,SV92: set_val] :
( ( ( ~ ( ord_less_set_val @ SV92 @ ( SV216 @ SV317 ) ) )
= $true )
| ( ( ~ ( ord_less_eq_set_val @ SV317 @ SV380 )
| ~ ! [SY835: set_val,SY836: set_val] :
( ~ ( ord_less_eq_set_val @ SY835 @ SY836 )
| ( ord_less_eq_set_val @ ( SV216 @ SY835 ) @ ( SV216 @ SY836 ) ) )
| ( ord_less_set_val @ SV92 @ ( SV216 @ SV380 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1290]) ).
thf(1443,plain,
! [SV217: set_val,SV93: set_val] :
( ( ( ord_less_set_val @ SV93 @ SV217 )
= $true )
| ( ( ( ord_less_eq_set_val @ SV93 @ SV217 )
= ( SV93 = SV217 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1291]) ).
thf(1444,plain,
! [SV318: set_val,SV218: set_val,SV94: set_val] :
( ( ( ord_less_eq_set_val @ SV94 @ SV218 )
= $false )
| ( ( ~ ( ord_less_eq_set_val @ SV318 @ SV94 )
| ( ord_less_eq_set_val @ SV318 @ SV218 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1292]) ).
thf(1445,plain,
! [SV96: set_val,SV220: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV220 @ SV96 ) )
= $true )
| ( ( SV96 = SV220 )
= $true )
| ( ( ord_less_eq_set_val @ SV96 @ SV220 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1294]) ).
thf(1446,plain,
! [SV319: set_val,SV221: set_val > set_val,SV97: set_val > set_val] :
( ( ( refine1929691018et_val @ SV97 @ SV221 )
= $false )
| ( ( ord_less_eq_set_val @ SV319 @ ( SV221 @ ( SV97 @ SV319 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1295]) ).
thf(1447,plain,
! [SV381: set_val,SV222: set_val] :
( ( ~ ( ( SV222 = SV381 )
| ~ ( ~ ( ord_less_eq_set_val @ SV381 @ SV222 )
| ~ ( ord_less_eq_set_val @ SV222 @ SV381 ) ) )
| ~ ( ( SV222 != SV381 )
| ~ ~ ( ~ ( ord_less_eq_set_val @ SV381 @ SV222 )
| ~ ( ord_less_eq_set_val @ SV222 @ SV381 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1296]) ).
thf(1448,plain,
! [SV381: set_val,SV222: set_val] :
( ( ( SV222 = SV381 )
= ( ~ ( ~ ( ord_less_eq_set_val @ SV381 @ SV222 )
| ~ ( ord_less_eq_set_val @ SV222 @ SV381 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1296]) ).
thf(1449,plain,
! [SV397: set_val,SV382: set_val,SV321: set_val,SV223: set_val,SV99: $o] :
( ( ~ ( ~ SV99
| ( ord_less_eq_set_val @ SV223 @ SV321 ) )
| ~ ( ~ ~ SV99
| ( ord_less_eq_set_val @ SV382 @ SV397 ) )
| ( ord_less_eq_set_val @ ( if_set_val @ SV99 @ SV223 @ SV382 ) @ ( if_set_val @ SV99 @ SV321 @ SV397 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1297]) ).
thf(1450,plain,
! [SV398: set_val,SV383: set_val,SV322: set_val,SV224: set_val] :
( ( ~ ( ~ $true
| ( ord_less_eq_set_val @ SV224 @ SV322 ) )
| ~ ( ~ ~ $true
| ( ord_less_eq_set_val @ SV383 @ SV398 ) )
| ( ord_less_eq_set_val @ ( if_set_val @ $true @ SV224 @ SV383 ) @ ( if_set_val @ $true @ SV322 @ SV398 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1298]) ).
thf(1451,plain,
! [SV399: set_val,SV384: set_val,SV323: set_val,SV225: set_val] :
( ( ~ ( ~ $false
| ( ord_less_eq_set_val @ SV225 @ SV323 ) )
| ~ ( ~ ~ $false
| ( ord_less_eq_set_val @ SV384 @ SV399 ) )
| ( ord_less_eq_set_val @ ( if_set_val @ $false @ SV225 @ SV384 ) @ ( if_set_val @ $false @ SV323 @ SV399 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1299]) ).
thf(1452,plain,
! [SV385: set_val,SV226: set_val] :
( ( ~ ( ( ord_less_eq_set_val @ SV226 @ SV385 )
| ! [SY1033: val] :
( ~ ( member_val @ SY1033 @ SV226 )
| ( member_val @ SY1033 @ SV385 ) ) )
| ~ ( ~ ( ord_less_eq_set_val @ SV226 @ SV385 )
| ~ ! [SY1033: val] :
( ~ ( member_val @ SY1033 @ SV226 )
| ( member_val @ SY1033 @ SV385 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1300]) ).
thf(1453,plain,
! [SV385: set_val,SV226: set_val] :
( ( ( ord_less_eq_set_val @ SV226 @ SV385 )
= ( ! [SY1033: val] :
( ~ ( member_val @ SY1033 @ SV226 )
| ( member_val @ SY1033 @ SV385 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1300]) ).
thf(1454,plain,
! [SV386: set_val,SV325: set_val,SV227: set_val > set_val,SV101: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV101 @ ( SV227 @ SV325 ) ) )
= $true )
| ( ( ~ ( ord_less_eq_set_val @ SV325 @ SV386 )
| ~ ! [SY854: set_val,SY855: set_val] :
( ~ ( ord_less_eq_set_val @ SY854 @ SY855 )
| ( ord_less_eq_set_val @ ( SV227 @ SY854 ) @ ( SV227 @ SY855 ) ) )
| ( ord_less_eq_set_val @ SV101 @ ( SV227 @ SV386 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1301]) ).
thf(1455,plain,
! [SV103: set_val,SV229: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV229 @ SV103 ) )
= $true )
| ( ( SV229 = SV103 )
= $true )
| ( ( ord_less_eq_set_val @ SV103 @ SV229 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1303]) ).
thf(1456,plain,
! [SV104: set_val,SV230: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV230 @ SV104 ) )
= $true )
| ( ( SV104 = SV230 )
= $true )
| ( ( ord_less_eq_set_val @ SV104 @ SV230 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1304]) ).
thf(1457,plain,
! [SV105: set_val,SV231: set_val] :
( ( ( ord_less_set_val @ SV231 @ SV105 )
= $false )
| ( ( ord_less_eq_set_val @ SV105 @ SV231 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1305]) ).
thf(1458,plain,
! [SV232: set_val > set_val] :
( ( ( ( order_1719375026et_val @ SV232 )
| ! [SY856: set_val,SY857: set_val] :
( ~ ( ord_less_eq_set_val @ SY856 @ SY857 )
| ( ord_less_eq_set_val @ ( SV232 @ SY857 ) @ ( SV232 @ SY856 ) ) ) )
= $false )
| ( ( ~ ( ~ ( order_1719375026et_val @ SV232 )
| ~ ! [SY856: set_val,SY857: set_val] :
( ~ ( ord_less_eq_set_val @ SY856 @ SY857 )
| ( ord_less_eq_set_val @ ( SV232 @ SY857 ) @ ( SV232 @ SY856 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1306]) ).
thf(1459,plain,
! [SV387: set_val,SV326: set_val,SV234: set_val > val,SV108: val] :
( ( ( SV108
!= ( SV234 @ SV326 ) )
= $true )
| ( ( ~ ( ord_less_eq_set_val @ SV326 @ SV387 )
| ~ ! [SY860: set_val,SY861: set_val] :
( ~ ( ord_less_eq_set_val @ SY860 @ SY861 )
| ( ord_less_eq_val @ ( SV234 @ SY860 ) @ ( SV234 @ SY861 ) ) )
| ( ord_less_eq_val @ SV108 @ ( SV234 @ SV387 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1308]) ).
thf(1460,plain,
! [SV388: val,SV327: set_val > val,SV235: set_val,SV109: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV109 @ SV235 ) )
= $true )
| ( ( ~ ( ord_less_eq_val @ ( SV327 @ SV235 ) @ SV388 )
| ~ ! [SY976: set_val,SY977: set_val] :
( ~ ( ord_less_eq_set_val @ SY976 @ SY977 )
| ( ord_less_eq_val @ ( SV327 @ SY976 ) @ ( SV327 @ SY977 ) ) )
| ( ord_less_eq_val @ ( SV327 @ SV109 ) @ SV388 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1309]) ).
thf(1461,plain,
! [SV389: set_val,SV328: set_set_val > set_val,SV236: set_set_val,SV110: set_set_val] :
( ( ( ~ ( ord_le1742111550et_val @ SV110 @ SV236 ) )
= $true )
| ( ( ( ( SV328 @ SV236 )
!= SV389 )
| ~ ! [SY979: set_set_val,SY980: set_set_val] :
( ~ ( ord_le1742111550et_val @ SY979 @ SY980 )
| ( ord_less_eq_set_val @ ( SV328 @ SY979 ) @ ( SV328 @ SY980 ) ) )
| ( ord_less_eq_set_val @ ( SV328 @ SV110 ) @ SV389 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1310]) ).
thf(1462,plain,
! [SV329: set_val,SV237: set_val,SV111: set_val > set_val] :
( ( ( order_1719375026et_val @ SV111 )
= $false )
| ( ( ~ ( ord_less_eq_set_val @ SV237 @ SV329 )
| ( ord_less_eq_set_val @ ( SV111 @ SV329 ) @ ( SV111 @ SV237 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1311]) ).
thf(1463,plain,
! [SV390: set_val,SV330: set_val,SV238: set_val,SV112: $o] :
( ( ( ~ ( ~ SV112
| ( ord_less_eq_set_val @ SV238 @ SV330 ) ) )
= $true )
| ( ( ~ ( ~ ~ SV112
| ( ord_less_eq_set_val @ SV390 @ SV330 ) )
| ( ord_less_eq_set_val @ ( if_set_val @ SV112 @ SV238 @ SV390 ) @ SV330 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1312]) ).
thf(1464,plain,
! [SV391: set_val,SV331: set_val,SV239: set_val] :
( ( ( ~ ( ~ $true
| ( ord_less_eq_set_val @ SV239 @ SV331 ) ) )
= $true )
| ( ( ~ ( ~ ~ $true
| ( ord_less_eq_set_val @ SV391 @ SV331 ) )
| ( ord_less_eq_set_val @ ( if_set_val @ $true @ SV239 @ SV391 ) @ SV331 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1313]) ).
thf(1465,plain,
! [SV392: set_val,SV332: set_val,SV240: set_val] :
( ( ( ~ ( ~ $false
| ( ord_less_eq_set_val @ SV240 @ SV332 ) ) )
= $true )
| ( ( ~ ( ~ ~ $false
| ( ord_less_eq_set_val @ SV392 @ SV332 ) )
| ( ord_less_eq_set_val @ ( if_set_val @ $false @ SV240 @ SV392 ) @ SV332 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1314]) ).
thf(1466,plain,
! [SV393: set_val,SV333: set_val,SV241: set_val > set_val,SV113: set_val] :
( ( ( SV113
!= ( SV241 @ SV333 ) )
= $true )
| ( ( ~ ( ord_less_eq_set_val @ SV333 @ SV393 )
| ~ ! [SY879: set_val,SY880: set_val] :
( ~ ( ord_less_eq_set_val @ SY879 @ SY880 )
| ( ord_less_eq_set_val @ ( SV241 @ SY879 ) @ ( SV241 @ SY880 ) ) )
| ( ord_less_eq_set_val @ SV113 @ ( SV241 @ SV393 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1315]) ).
thf(1467,plain,
! [SV334: set_val > $o,SV243: set_val,SV115: set_val > $o] :
( ( ( SV115 @ SV243 )
= $false )
| ( ( ~ ! [SY882: set_val] :
( ~ ( SV115 @ SY882 )
| ( ord_less_eq_set_val @ SY882 @ SV243 ) )
| ~ ! [SY988: set_val] :
( ~ ( SV115 @ SY988 )
| ~ ! [SY677: set_val] :
( ~ ( SV115 @ SY677 )
| ( ord_less_eq_set_val @ SY677 @ SY988 ) )
| ( SV334 @ SY988 ) )
| ( SV334 @ ( order_1960465943et_val @ SV115 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1317]) ).
thf(1468,plain,
! [SV394: set_val,SV244: set_val] :
( ( ~ ( ( ord_less_set_val @ SV244 @ SV394 )
| ~ ( ~ ( ord_less_eq_set_val @ SV244 @ SV394 )
| ~ ( ( SV394 != SV244 ) ) ) )
| ~ ( ~ ( ord_less_set_val @ SV244 @ SV394 )
| ~ ~ ( ~ ( ord_less_eq_set_val @ SV244 @ SV394 )
| ~ ( ( SV394 != SV244 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1318]) ).
thf(1469,plain,
! [SV394: set_val,SV244: set_val] :
( ( ( ord_less_set_val @ SV244 @ SV394 )
= ( ~ ( ~ ( ord_less_eq_set_val @ SV244 @ SV394 )
| ~ ( ( SV394 != SV244 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1318]) ).
thf(1470,plain,
! [SV336: set_val,SV245: set_val,SV117: set_val] :
( ( ( ~ ( ( ord_less_eq_set_val @ ( sup_sup_set_val @ SV117 @ SV245 ) @ SV336 )
| ~ ( ~ ( ord_less_eq_set_val @ SV117 @ SV336 )
| ~ ( ord_less_eq_set_val @ SV245 @ SV336 ) ) ) )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_set_val @ ( sup_sup_set_val @ SV117 @ SV245 ) @ SV336 )
| ~ ~ ( ~ ( ord_less_eq_set_val @ SV117 @ SV336 )
| ~ ( ord_less_eq_set_val @ SV245 @ SV336 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1319]) ).
thf(1471,plain,
! [SV118: set_val > set_val,SV246: set_val > set_val] :
( ( ( ! [SY1045: set_val] :
( ( ord_less_eq_set_val @ ( sK4_SY887 @ SV246 @ SV118 ) @ ( SV118 @ SY1045 ) )
= ( ord_less_eq_set_val @ ( SV246 @ ( sK4_SY887 @ SV246 @ SV118 ) ) @ SY1045 ) ) )
= $false )
| ( ( refine1929691018et_val @ SV246 @ SV118 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1321]) ).
thf(1472,plain,
! [SV337: set_val,SV249: set_val,SV121: set_val] :
( ( ( ord_less_set_val @ SV121 @ SV249 )
= $false )
| ( ( ~ ( ord_less_eq_set_val @ SV249 @ SV337 )
| ( ord_less_set_val @ SV121 @ SV337 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1324]) ).
thf(1473,plain,
! [SV338: set_val,SV250: set_val > set_val,SV122: set_val > set_val] :
( ( ( refine1929691018et_val @ SV122 @ SV250 )
= $false )
| ( ( ord_less_eq_set_val @ ( SV122 @ ( SV250 @ SV338 ) ) @ SV338 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1325]) ).
thf(1474,plain,
! [SV339: set_val,SV251: set_val,SV123: set_val] :
( ( ( SV123 = SV251 )
= $false )
| ( ( ~ ( ord_less_eq_set_val @ SV251 @ SV339 )
| ( ord_less_eq_set_val @ SV123 @ SV339 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1326]) ).
thf(1475,plain,
! [SV395: set_val,SV340: set_val,SV253: set_val > set_val,SV125: set_val > set_val] :
( ( ( ~ ( refine1929691018et_val @ SV125 @ SV253 ) )
= $true )
| ( ( ( ord_less_eq_set_val @ SV340 @ ( SV253 @ SV395 ) )
= ( ord_less_eq_set_val @ ( SV125 @ SV340 ) @ SV395 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1328]) ).
thf(1476,plain,
! [SV254: $o > set_val,SV126: $o > set_val] :
( ( ( ord_less_eq_set_val @ ( SV126 @ ( sK5_SY894 @ SV254 @ SV126 ) ) @ ( SV254 @ ( sK5_SY894 @ SV254 @ SV126 ) ) )
= $false )
| ( ( ord_le994826475et_val @ SV126 @ SV254 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1329]) ).
thf(1477,plain,
! [SV128: set_val > set_val] :
( ( ( ~ ( ord_less_eq_set_val @ ( sK1_SY699 @ SV128 ) @ ( sK6_SY1044 @ SV128 ) )
| ( ord_less_eq_set_val @ ( SV128 @ ( sK6_SY1044 @ SV128 ) ) @ ( SV128 @ ( sK1_SY699 @ SV128 ) ) ) )
= $false )
| ( ( order_1719375026et_val @ SV128 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1331]) ).
thf(1478,plain,
! [SV341: set_val,SV256: set_val,SV129: set_val] :
( ( ( ord_less_set_val @ SV129 @ SV256 )
= $false )
| ( ( ~ ( ord_less_eq_set_val @ SV341 @ SV129 )
| ( ord_less_set_val @ SV341 @ SV256 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1332]) ).
thf(1479,plain,
! [SV342: $o > set_val,SV130: $o > set_val] :
( ( ( ~ ( ( ord_le994826475et_val @ SV130 @ SV342 )
| ! [SY991: $o] : ( ord_less_eq_set_val @ ( SV130 @ SY991 ) @ ( SV342 @ SY991 ) ) ) )
= $true )
| ( ( ~ ( ~ ( ord_le994826475et_val @ SV130 @ SV342 )
| ~ ! [SY991: $o] : ( ord_less_eq_set_val @ ( SV130 @ SY991 ) @ ( SV342 @ SY991 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1333]) ).
thf(1480,plain,
! [SV343: set_val > set_val,SV131: set_val > set_val] :
( ( ( ~ ( ( refine1929691018et_val @ SV131 @ SV343 )
| ! [SY992: set_val,SY993: set_val] :
( ( ord_less_eq_set_val @ SY992 @ ( SV343 @ SY993 ) )
= ( ord_less_eq_set_val @ ( SV131 @ SY992 ) @ SY993 ) ) ) )
= $true )
| ( ( ~ ( ~ ( refine1929691018et_val @ SV131 @ SV343 )
| ~ ! [SY992: set_val,SY993: set_val] :
( ( ord_less_eq_set_val @ SY992 @ ( SV343 @ SY993 ) )
= ( ord_less_eq_set_val @ ( SV131 @ SY992 ) @ SY993 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1335]) ).
thf(1481,plain,
! [SV132: set_val,SV6: set_val] :
( ( ( ord_less_eq_set_val @ ( uminus1961393973et_val @ SV6 ) @ ( uminus1961393973et_val @ SV132 ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_val @ ( uminus1961393973et_val @ SV6 ) @ ( uminus1961393973et_val @ SV132 ) )
| ~ ( ord_less_eq_set_val @ SV132 @ SV6 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1337]) ).
thf(1482,plain,
! [SV6: set_val,SV132: set_val] :
( ( ( ord_less_eq_set_val @ SV132 @ SV6 )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_val @ ( uminus1961393973et_val @ SV6 ) @ ( uminus1961393973et_val @ SV132 ) )
| ~ ( ord_less_eq_set_val @ SV132 @ SV6 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1337]) ).
thf(1483,plain,
! [SV344: set_val,SV133: set_val] :
( ( ( ~ ( ( ord_less_eq_set_val @ SV133 @ SV344 )
| ( ord_less_set_val @ SV133 @ SV344 )
| ( SV133 = SV344 ) ) )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_set_val @ SV133 @ SV344 )
| ~ ( ( ord_less_set_val @ SV133 @ SV344 )
| ( SV133 = SV344 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1338]) ).
thf(1484,plain,
! [SV345: set_val,SV134: set_val] :
( ( ( ~ ( ( ord_less_eq_set_val @ SV134 @ SV345 )
| ( ord_less_set_val @ SV134 @ SV345 )
| ( SV134 = SV345 ) ) )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_set_val @ SV134 @ SV345 )
| ~ ( ( ord_less_set_val @ SV134 @ SV345 )
| ( SV134 = SV345 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1340]) ).
thf(1485,plain,
! [SV346: set_val,SV135: set_val] :
( ( ( ~ ( ( ord_less_eq_set_val @ SV135 @ SV346 )
| ( ord_less_set_val @ SV135 @ SV346 )
| ( SV346 = SV135 ) ) )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_set_val @ SV135 @ SV346 )
| ~ ( ( ord_less_set_val @ SV135 @ SV346 )
| ( SV346 = SV135 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1342]) ).
thf(1486,plain,
! [SV347: set_val,SV136: set_val] :
( ( ( ~ ( ( ord_less_eq_set_val @ SV136 @ SV347 )
| ( ord_less_set_val @ SV136 @ SV347 )
| ( SV136 = SV347 ) ) )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_set_val @ SV136 @ SV347 )
| ~ ( ( ord_less_set_val @ SV136 @ SV347 )
| ( SV136 = SV347 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1344]) ).
thf(1487,plain,
! [SV137: set_val,SV11: set_val] :
( ( ( ord_less_eq_set_val @ ( uminus1961393973et_val @ SV11 ) @ ( uminus1961393973et_val @ SV137 ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_val @ ( uminus1961393973et_val @ SV11 ) @ ( uminus1961393973et_val @ SV137 ) )
| ~ ( ord_less_eq_set_val @ SV137 @ SV11 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1346]) ).
thf(1488,plain,
! [SV11: set_val,SV137: set_val] :
( ( ( ord_less_eq_set_val @ SV137 @ SV11 )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_val @ ( uminus1961393973et_val @ SV11 ) @ ( uminus1961393973et_val @ SV137 ) )
| ~ ( ord_less_eq_set_val @ SV137 @ SV11 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1346]) ).
thf(1489,plain,
! [SV348: set_val,SV138: set_val] :
( ( ( ~ ( ( ord_less_eq_set_val @ SV138 @ SV348 )
| ( ( sup_sup_set_val @ SV138 @ SV348 )
= SV348 ) ) )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_set_val @ SV138 @ SV348 )
| ( ( sup_sup_set_val @ SV138 @ SV348 )
!= SV348 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1347]) ).
thf(1490,plain,
! [SV349: set_val,SV139: set_val] :
( ( ( ~ ( ( ord_less_eq_set_val @ SV139 @ SV349 )
| ( ( sup_sup_set_val @ SV349 @ SV139 )
= SV349 ) ) )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_set_val @ SV139 @ SV349 )
| ( ( sup_sup_set_val @ SV349 @ SV139 )
!= SV349 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1349]) ).
thf(1491,plain,
! [SV350: set_val,SV142: set_val] :
( ( ( ~ ( ( ord_less_eq_set_val @ SV142 @ SV350 )
| ( SV350
= ( sup_sup_set_val @ SV350 @ SV142 ) ) ) )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_set_val @ SV142 @ SV350 )
| ( SV350
!= ( sup_sup_set_val @ SV350 @ SV142 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1351]) ).
thf(1492,plain,
! [SV17: $o] :
( ( SV17 = $false )
| ( ( ~ ( ~ SV17
| ~ $true ) )
= $true )
| ( ( SV17 = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1353]) ).
thf(1493,plain,
! [SV17: $o] :
( ( $true = $false )
| ( ( ~ ( ~ SV17
| ~ $true ) )
= $true )
| ( ( SV17 = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1353]) ).
thf(1494,plain,
! [SV17: $o] :
( ( ( SV17
| $false )
= $false )
| ( ( ~ ( ~ SV17
| ~ $false ) )
= $true )
| ( ( SV17 = $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1354]) ).
thf(1495,plain,
( ( $true = $false )
| ( ( ~ ( ~ $true
| ~ $true ) )
= $true )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1355]) ).
thf(1496,plain,
( ( $true = $false )
| ( ( ~ ( ~ $true
| ~ $true ) )
= $true )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1355]) ).
thf(1497,plain,
( ( ( $true
| $false )
= $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1356]) ).
thf(1498,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $true ) )
= $true )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1357]) ).
thf(1499,plain,
( ( $true = $false )
| ( ( ~ ( ~ $false
| ~ $true ) )
= $true )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1357]) ).
thf(1500,plain,
( ( ( $false
| $false )
= $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1358]) ).
thf(1501,plain,
! [SV19: set_val > set_val > set_val,SV144: set_val,SV266: set_val] :
( ( ( ! [SY1046: set_val] : ( ord_less_eq_set_val @ ( sK7_SY437 @ SV266 @ SV144 @ SV19 ) @ ( SV19 @ ( sK7_SY437 @ SV266 @ SV144 @ SV19 ) @ SY1046 ) ) )
= $false )
| ( ( ~ ! [SY439: set_val,SY440: set_val] : ( ord_less_eq_set_val @ SY440 @ ( SV19 @ SY439 @ SY440 ) )
| ~ ! [SY441: set_val,SY442: set_val,SY443: set_val] :
( ~ ( ord_less_eq_set_val @ SY442 @ SY441 )
| ~ ( ord_less_eq_set_val @ SY443 @ SY441 )
| ( ord_less_eq_set_val @ ( SV19 @ SY442 @ SY443 ) @ SY441 ) )
| ( ( sup_sup_set_val @ SV144 @ SV266 )
= ( SV19 @ SV144 @ SV266 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1359]) ).
thf(1502,plain,
! [SV145: set_val,SV20: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV20 @ SV145 ) )
= $false )
| ( ( ord_less_set_val @ SV20 @ SV145 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1360]) ).
thf(1503,plain,
! [SV20: set_val,SV145: set_val] :
( ( ( ord_less_eq_set_val @ SV145 @ SV20 )
= $false )
| ( ( ord_less_set_val @ SV20 @ SV145 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1360]) ).
thf(1504,plain,
! [SV21: set_val,SV267: set_val,SV146: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV146 @ SV267 ) )
= $true )
| ( ( ord_less_eq_set_val @ SV21 @ SV267 )
= $true )
| ( ( ord_less_eq_set_val @ SV21 @ SV146 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1361]) ).
thf(1505,plain,
! [SV351: val,SV268: val,SV147: val > set_val,SV22: set_val] :
( ( ( ord_less_eq_set_val @ SV22 @ ( SV147 @ SV268 ) )
= $false )
| ( ( ~ ( ord_less_eq_val @ SV268 @ SV351 )
| ~ ! [SY726: val,SY727: val] :
( ~ ( ord_less_eq_val @ SY726 @ SY727 )
| ( ord_less_eq_set_val @ ( SV147 @ SY726 ) @ ( SV147 @ SY727 ) ) )
| ( ord_less_eq_set_val @ SV22 @ ( SV147 @ SV351 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1362]) ).
thf(1506,plain,
! [SV352: set_set_val,SV269: set_val > set_set_val,SV148: set_val,SV24: set_val] :
( ( ( ord_less_eq_set_val @ SV24 @ SV148 )
= $false )
| ( ( ~ ( ord_le1742111550et_val @ ( SV269 @ SV148 ) @ SV352 )
| ~ ! [SY910: set_val,SY911: set_val] :
( ~ ( ord_less_eq_set_val @ SY910 @ SY911 )
| ( ord_le1742111550et_val @ ( SV269 @ SY910 ) @ ( SV269 @ SY911 ) ) )
| ( ord_le1742111550et_val @ ( SV269 @ SV24 ) @ SV352 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1363]) ).
thf(1507,plain,
! [SV353: set_val,SV149: set_val] :
( ( ( ~ ( ( ord_less_set_val @ SV149 @ SV353 )
| ~ ( ~ ( ord_less_eq_set_val @ SV149 @ SV353 )
| ~ ( ( SV149 != SV353 ) ) ) ) )
= $true )
| ( ( ~ ( ~ ( ord_less_set_val @ SV149 @ SV353 )
| ~ ~ ( ~ ( ord_less_eq_set_val @ SV149 @ SV353 )
| ~ ( ( SV149 != SV353 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1364]) ).
thf(1508,plain,
! [SV354: set_val,SV150: set_val] :
( ( ( ~ ( ( SV150 = SV354 )
| ~ ( ~ ( ord_less_eq_set_val @ SV150 @ SV354 )
| ~ ( ord_less_eq_set_val @ SV354 @ SV150 ) ) ) )
= $true )
| ( ( ~ ( ( SV150 != SV354 )
| ~ ~ ( ~ ( ord_less_eq_set_val @ SV150 @ SV354 )
| ~ ( ord_less_eq_set_val @ SV354 @ SV150 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1366]) ).
thf(1509,plain,
! [SV355: set_val,SV272: set_val,SV151: set_val > set_set_val,SV27: set_set_val] :
( ( ( ord_le1742111550et_val @ SV27 @ ( SV151 @ SV272 ) )
= $false )
| ( ( ~ ( ord_less_eq_set_val @ SV272 @ SV355 )
| ~ ! [SY737: set_val,SY738: set_val] :
( ~ ( ord_less_eq_set_val @ SY737 @ SY738 )
| ( ord_le1742111550et_val @ ( SV151 @ SY737 ) @ ( SV151 @ SY738 ) ) )
| ( ord_le1742111550et_val @ SV27 @ ( SV151 @ SV355 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1368]) ).
thf(1510,plain,
! [SV356: set_val,SV152: set_val] :
( ( ( ~ ( ( ord_less_set_val @ SV152 @ SV356 )
| ~ ( ~ ( ord_less_eq_set_val @ SV152 @ SV356 )
| ~ ~ ( ord_less_eq_set_val @ SV356 @ SV152 ) ) ) )
= $true )
| ( ( ~ ( ~ ( ord_less_set_val @ SV152 @ SV356 )
| ~ ~ ( ~ ( ord_less_eq_set_val @ SV152 @ SV356 )
| ~ ~ ( ord_less_eq_set_val @ SV356 @ SV152 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1369]) ).
thf(1511,plain,
! [SV357: set_val,SV153: set_val] :
( ( ( ~ ( ( ord_less_set_val @ SV153 @ SV357 )
| ~ ( ~ ( ord_less_eq_set_val @ SV153 @ SV357 )
| ~ ( ( SV153 != SV357 ) ) ) ) )
= $true )
| ( ( ~ ( ~ ( ord_less_set_val @ SV153 @ SV357 )
| ~ ~ ( ~ ( ord_less_eq_set_val @ SV153 @ SV357 )
| ~ ( ( SV153 != SV357 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1371]) ).
thf(1512,plain,
! [SV155: set_val,SV31: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV31 @ SV155 ) )
= $false )
| ( ( SV31 = SV155 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1373]) ).
thf(1513,plain,
! [SV31: set_val,SV155: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV155 @ SV31 ) )
= $false )
| ( ( SV31 = SV155 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1373]) ).
thf(1514,plain,
! [SV275: set_val,SV156: set_val,SV32: set_val] :
( ( ( ( ord_less_eq_set_val @ ( sup_sup_set_val @ SV32 @ SV156 ) @ SV275 )
| ~ ( ~ ( ord_less_eq_set_val @ SV32 @ SV275 )
| ~ ( ord_less_eq_set_val @ SV156 @ SV275 ) ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_val @ ( sup_sup_set_val @ SV32 @ SV156 ) @ SV275 )
| ~ ~ ( ~ ( ord_less_eq_set_val @ SV32 @ SV275 )
| ~ ( ord_less_eq_set_val @ SV156 @ SV275 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1374]) ).
thf(1515,plain,
! [SV358: set_val,SV276: set_val,SV157: set_val > val,SV33: val] :
( ( ( ord_less_eq_val @ SV33 @ ( SV157 @ SV276 ) )
= $false )
| ( ( ~ ( ord_less_eq_set_val @ SV276 @ SV358 )
| ~ ! [SY744: set_val,SY745: set_val] :
( ~ ( ord_less_eq_set_val @ SY744 @ SY745 )
| ( ord_less_eq_val @ ( SV157 @ SY744 ) @ ( SV157 @ SY745 ) ) )
| ( ord_less_eq_val @ SV33 @ ( SV157 @ SV358 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1375]) ).
thf(1516,plain,
! [SV277: set_val,SV159: set_val,SV35: set_val] :
( ( ( ( ord_less_eq_set_val @ ( sup_sup_set_val @ SV35 @ SV159 ) @ SV277 )
| ~ ( ~ ( ord_less_eq_set_val @ SV35 @ SV277 )
| ~ ( ord_less_eq_set_val @ SV159 @ SV277 ) ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_val @ ( sup_sup_set_val @ SV35 @ SV159 ) @ SV277 )
| ~ ~ ( ~ ( ord_less_eq_set_val @ SV35 @ SV277 )
| ~ ( ord_less_eq_set_val @ SV159 @ SV277 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1376]) ).
thf(1517,plain,
! [SV359: set_set_val,SV278: set_val > set_set_val,SV160: set_val,SV36: set_val] :
( ( ( ord_less_eq_set_val @ SV36 @ SV160 )
= $false )
| ( ( ( ( SV278 @ SV160 )
!= SV359 )
| ~ ! [SY919: set_val,SY920: set_val] :
( ~ ( ord_less_eq_set_val @ SY919 @ SY920 )
| ( ord_le1742111550et_val @ ( SV278 @ SY919 ) @ ( SV278 @ SY920 ) ) )
| ( ord_le1742111550et_val @ ( SV278 @ SV36 ) @ SV359 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1377]) ).
thf(1518,plain,
! [SV360: set_val,SV279: val > set_val,SV162: val,SV38: val] :
( ( ( ord_less_eq_val @ SV38 @ SV162 )
= $false )
| ( ( ( ( SV279 @ SV162 )
!= SV360 )
| ~ ! [SY922: val,SY923: val] :
( ~ ( ord_less_eq_val @ SY922 @ SY923 )
| ( ord_less_eq_set_val @ ( SV279 @ SY922 ) @ ( SV279 @ SY923 ) ) )
| ( ord_less_eq_set_val @ ( SV279 @ SV38 ) @ SV360 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1378]) ).
thf(1519,plain,
! [SV361: set_val,SV282: set_val > set_val,SV166: set_val,SV42: set_val] :
( ( ( ord_less_eq_set_val @ SV42 @ SV166 )
= $false )
| ( ( ~ ( ord_less_eq_set_val @ ( SV282 @ SV166 ) @ SV361 )
| ~ ! [SY925: set_val,SY926: set_val] :
( ~ ( ord_less_eq_set_val @ SY925 @ SY926 )
| ( ord_less_eq_set_val @ ( SV282 @ SY925 ) @ ( SV282 @ SY926 ) ) )
| ( ord_less_eq_set_val @ ( SV282 @ SV42 ) @ SV361 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1383]) ).
thf(1520,plain,
! [SV362: set_val,SV167: set_val] :
( ( ( ~ ( ( SV167 = SV362 )
| ~ ( ~ ( ord_less_eq_set_val @ SV167 @ SV362 )
| ~ ( ord_less_eq_set_val @ SV362 @ SV167 ) ) ) )
= $true )
| ( ( ~ ( ( SV167 != SV362 )
| ~ ~ ( ~ ( ord_less_eq_set_val @ SV167 @ SV362 )
| ~ ( ord_less_eq_set_val @ SV362 @ SV167 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1384]) ).
thf(1521,plain,
! [SV168: val > $o,SV44: val > $o] :
( ( ( ord_less_eq_set_val @ ( collect_val @ SV44 ) @ ( collect_val @ SV168 ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_val @ ( collect_val @ SV44 ) @ ( collect_val @ SV168 ) )
| ~ ! [SY763: val] :
( ~ ( SV44 @ SY763 )
| ( SV168 @ SY763 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1386]) ).
thf(1522,plain,
! [SV168: val > $o,SV44: val > $o] :
( ( ( ! [SY763: val] :
( ~ ( SV44 @ SY763 )
| ( SV168 @ SY763 ) ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_val @ ( collect_val @ SV44 ) @ ( collect_val @ SV168 ) )
| ~ ! [SY763: val] :
( ~ ( SV44 @ SY763 )
| ( SV168 @ SY763 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1386]) ).
thf(1523,plain,
! [SV363: set_val,SV284: set_val,SV169: set_val > set_set_val,SV45: set_set_val] :
( ( ( SV45
= ( SV169 @ SV284 ) )
= $false )
| ( ( ~ ( ord_less_eq_set_val @ SV284 @ SV363 )
| ~ ! [SY766: set_val,SY767: set_val] :
( ~ ( ord_less_eq_set_val @ SY766 @ SY767 )
| ( ord_le1742111550et_val @ ( SV169 @ SY766 ) @ ( SV169 @ SY767 ) ) )
| ( ord_le1742111550et_val @ SV45 @ ( SV169 @ SV363 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1387]) ).
thf(1524,plain,
! [SV364: set_val,SV285: set_set_val > set_val,SV170: set_set_val,SV46: set_set_val] :
( ( ( ord_le1742111550et_val @ SV46 @ SV170 )
= $false )
| ( ( ~ ( ord_less_eq_set_val @ ( SV285 @ SV170 ) @ SV364 )
| ~ ! [SY931: set_set_val,SY932: set_set_val] :
( ~ ( ord_le1742111550et_val @ SY931 @ SY932 )
| ( ord_less_eq_set_val @ ( SV285 @ SY931 ) @ ( SV285 @ SY932 ) ) )
| ( ord_less_eq_set_val @ ( SV285 @ SV46 ) @ SV364 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1388]) ).
thf(1525,plain,
! [SV365: set_val,SV286: set_val,SV172: set_val,SV48: set_val] :
( ( ( SV48 = SV172 )
= $false )
| ( ( ~ ( ord_less_eq_set_val @ SV172 @ SV286 )
| ( SV286 != SV365 )
| ( ord_less_eq_set_val @ SV48 @ SV365 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1389]) ).
thf(1526,plain,
! [SV366: set_set_val,SV287: set_set_val,SV173: set_set_val > set_val,SV49: set_val] :
( ( ( SV49
= ( SV173 @ SV287 ) )
= $false )
| ( ( ~ ( ord_le1742111550et_val @ SV287 @ SV366 )
| ~ ! [SY776: set_set_val,SY777: set_set_val] :
( ~ ( ord_le1742111550et_val @ SY776 @ SY777 )
| ( ord_less_eq_set_val @ ( SV173 @ SY776 ) @ ( SV173 @ SY777 ) ) )
| ( ord_less_eq_set_val @ SV49 @ ( SV173 @ SV366 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1390]) ).
thf(1527,plain,
! [SV50: set_val,SV288: set_val,SV174: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV174 @ SV288 ) )
= $true )
| ( ( ord_less_eq_set_val @ SV50 @ SV288 )
= $true )
| ( ( ord_less_eq_set_val @ SV50 @ SV174 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1391]) ).
thf(1528,plain,
! [SV367: set_val,SV175: set_val] :
( ( ( ~ ( ( ord_less_eq_set_val @ SV175 @ SV367 )
| ! [SY1014: val] :
( ~ ( member_val @ SY1014 @ SV175 )
| ( member_val @ SY1014 @ SV367 ) ) ) )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_set_val @ SV175 @ SV367 )
| ~ ! [SY1014: val] :
( ~ ( member_val @ SY1014 @ SV175 )
| ( member_val @ SY1014 @ SV367 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1392]) ).
thf(1529,plain,
! [SV52: set_val,SV176: set_val] :
( ( ( ~ ( member_val @ ( sK2_SY781 @ SV176 @ SV52 ) @ SV52 ) )
= $false )
| ( ( ord_less_eq_set_val @ SV52 @ SV176 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1394]) ).
thf(1530,plain,
! [SV52: set_val,SV176: set_val] :
( ( ( member_val @ ( sK2_SY781 @ SV176 @ SV52 ) @ SV176 )
= $false )
| ( ( ord_less_eq_set_val @ SV52 @ SV176 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1394]) ).
thf(1531,plain,
! [SV368: set_val,SV290: val > set_val,SV177: val,SV53: val] :
( ( ( ord_less_eq_val @ SV53 @ SV177 )
= $false )
| ( ( ~ ( ord_less_eq_set_val @ ( SV290 @ SV177 ) @ SV368 )
| ~ ! [SY939: val,SY940: val] :
( ~ ( ord_less_eq_val @ SY939 @ SY940 )
| ( ord_less_eq_set_val @ ( SV290 @ SY939 ) @ ( SV290 @ SY940 ) ) )
| ( ord_less_eq_set_val @ ( SV290 @ SV53 ) @ SV368 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1395]) ).
thf(1532,plain,
! [SV54: set_val,SV291: set_val,SV178: set_val] :
( ( ( ~ ( ord_less_set_val @ SV178 @ SV291 ) )
= $true )
| ( ( ord_less_set_val @ SV54 @ SV291 )
= $true )
| ( ( ord_less_eq_set_val @ SV54 @ SV178 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1396]) ).
thf(1533,plain,
! [SV55: set_val,SV179: set_val] :
( ( ( ord_less_eq_set_val @ SV179 @ SV55 )
= $false )
| ( ( SV55 = SV179 )
= $true )
| ( ( ord_less_eq_set_val @ SV55 @ SV179 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1397]) ).
thf(1534,plain,
! [SV56: set_val,SV292: set_val,SV180: set_val] :
( ( ( SV180 != SV292 )
= $true )
| ( ( ord_less_eq_set_val @ SV56 @ SV292 )
= $true )
| ( ( ord_less_eq_set_val @ SV56 @ SV180 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1398]) ).
thf(1535,plain,
! [SV181: set_val,SV57: set_val > $o] :
( ( ( ! [SY788: set_val] :
( ~ ( SV57 @ SY788 )
| ( ord_less_eq_set_val @ SY788 @ SV181 ) ) )
= $false )
| ( ( ( order_1960465943et_val @ SV57 )
= SV181 )
= $true )
| ( ( SV57 @ SV181 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1399]) ).
thf(1536,plain,
! [SV396: $o,SV369: set_val,SV293: set_val,SV182: set_val,SV58: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV58 @ SV182 ) )
= $true )
| ( ( ~ ( ord_less_eq_set_val @ SV293 @ SV369 )
| ( ord_less_eq_set_val @ ( if_set_val @ SV396 @ SV58 @ SV293 ) @ ( if_set_val @ SV396 @ SV182 @ SV369 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1400]) ).
thf(1537,plain,
! [SV369: set_val,SV293: set_val,SV182: set_val,SV58: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV58 @ SV182 ) )
= $true )
| ( ( ~ ( ord_less_eq_set_val @ SV293 @ SV369 )
| ( ord_less_eq_set_val @ ( if_set_val @ $true @ SV58 @ SV293 ) @ ( if_set_val @ $true @ SV182 @ SV369 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1401]) ).
thf(1538,plain,
! [SV369: set_val,SV293: set_val,SV182: set_val,SV58: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV58 @ SV182 ) )
= $true )
| ( ( ~ ( ord_less_eq_set_val @ SV293 @ SV369 )
| ( ord_less_eq_set_val @ ( if_set_val @ $false @ SV58 @ SV293 ) @ ( if_set_val @ $false @ SV182 @ SV369 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1402]) ).
thf(1539,plain,
! [SV370: set_val,SV183: set_val] :
( ( ( ~ ( ( SV183 = SV370 )
| ~ ( ~ ( ord_less_eq_set_val @ SV183 @ SV370 )
| ~ ( ord_less_eq_set_val @ SV370 @ SV183 ) ) ) )
= $true )
| ( ( ~ ( ( SV183 != SV370 )
| ~ ~ ( ~ ( ord_less_eq_set_val @ SV183 @ SV370 )
| ~ ( ord_less_eq_set_val @ SV370 @ SV183 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1403]) ).
thf(1540,plain,
! [SV371: set_val,SV295: set_val > set_val,SV184: set_val,SV60: set_val] :
( ( ( ord_less_eq_set_val @ SV60 @ SV184 )
= $false )
| ( ( ~ ( ord_less_set_val @ ( SV295 @ SV184 ) @ SV371 )
| ~ ! [SY944: set_val,SY945: set_val] :
( ~ ( ord_less_eq_set_val @ SY944 @ SY945 )
| ( ord_less_eq_set_val @ ( SV295 @ SY944 ) @ ( SV295 @ SY945 ) ) )
| ( ord_less_set_val @ ( SV295 @ SV60 ) @ SV371 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1405]) ).
thf(1541,plain,
! [SV185: set_val,SV61: set_val] :
( ( ( ~ ( ~ ( ord_less_set_val @ SV61 @ SV185 )
| ( SV61 = SV185 ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ord_less_set_val @ SV61 @ SV185 )
| ( SV61 != SV185 ) ) )
= $true )
| ( ( ord_less_eq_set_val @ SV61 @ SV185 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1406]) ).
thf(1542,plain,
! [SV62: set_val,SV296: set_val,SV186: set_val] :
( ( ( ~ ( ord_less_set_val @ SV186 @ SV296 ) )
= $true )
| ( ( ord_less_set_val @ SV62 @ SV296 )
= $true )
| ( ( ord_less_eq_set_val @ SV62 @ SV186 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1408]) ).
thf(1543,plain,
! [SV372: val,SV297: set_val > val,SV188: set_val,SV64: set_val] :
( ( ( ord_less_eq_set_val @ SV64 @ SV188 )
= $false )
| ( ( ( ( SV297 @ SV188 )
!= SV372 )
| ~ ! [SY947: set_val,SY948: set_val] :
( ~ ( ord_less_eq_set_val @ SY947 @ SY948 )
| ( ord_less_eq_val @ ( SV297 @ SY947 ) @ ( SV297 @ SY948 ) ) )
| ( ord_less_eq_val @ ( SV297 @ SV64 ) @ SV372 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1409]) ).
thf(1544,plain,
! [SV189: set_val,SV65: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV65 @ SV189 ) )
= $true )
| ( ( ord_less_set_val @ SV65 @ SV189 )
= $true )
| ( ( SV65 = SV189 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1410]) ).
thf(1545,plain,
! [SV373: set_val,SV298: set_val > set_val,SV190: set_val,SV66: set_val] :
( ( ( ord_less_eq_set_val @ SV66 @ SV190 )
= $false )
| ( ( ( ( SV298 @ SV190 )
!= SV373 )
| ~ ! [SY950: set_val,SY951: set_val] :
( ~ ( ord_less_eq_set_val @ SY950 @ SY951 )
| ( ord_less_eq_set_val @ ( SV298 @ SY950 ) @ ( SV298 @ SY951 ) ) )
| ( ord_less_eq_set_val @ ( SV298 @ SV66 ) @ SV373 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1411]) ).
thf(1546,plain,
! [SV191: val > $o,SV67: val > $o] :
( ( ( ~ ( SV67 @ ( sK3_SY807 @ SV191 @ SV67 ) ) )
= $false )
| ( ( ord_less_eq_set_val @ ( collect_val @ SV67 ) @ ( collect_val @ SV191 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1412]) ).
thf(1547,plain,
! [SV67: val > $o,SV191: val > $o] :
( ( ( SV191 @ ( sK3_SY807 @ SV191 @ SV67 ) )
= $false )
| ( ( ord_less_eq_set_val @ ( collect_val @ SV67 ) @ ( collect_val @ SV191 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1412]) ).
thf(1548,plain,
! [SV192: set_val,SV68: set_val,SV299: set_val] :
( ( ( ~ ( ord_less_set_val @ SV299 @ SV68 ) )
= $true )
| ( ( ord_less_set_val @ SV299 @ SV192 )
= $true )
| ( ( ord_less_eq_set_val @ SV68 @ SV192 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1413]) ).
thf(1549,plain,
! [SV193: set_val,SV69: set_val,SV300: val] :
( ( ( ~ ( member_val @ SV300 @ SV69 ) )
= $true )
| ( ( member_val @ SV300 @ SV193 )
= $true )
| ( ( ord_less_eq_set_val @ SV69 @ SV193 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1414]) ).
thf(1550,plain,
! [SV374: $o > set_val,SV194: $o > set_val] :
( ( ( ~ ( ( ord_le994826475et_val @ SV194 @ SV374 )
| ~ ( ~ ( ord_less_eq_set_val @ ( SV194 @ $false ) @ ( SV374 @ $false ) )
| ~ ( ord_less_eq_set_val @ ( SV194 @ $true ) @ ( SV374 @ $true ) ) ) ) )
= $true )
| ( ( ~ ( ~ ( ord_le994826475et_val @ SV194 @ SV374 )
| ~ ~ ( ~ ( ord_less_eq_set_val @ ( SV194 @ $false ) @ ( SV374 @ $false ) )
| ~ ( ord_less_eq_set_val @ ( SV194 @ $true ) @ ( SV374 @ $true ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1415]) ).
thf(1551,plain,
! [SV71: set_val,SV195: set_val,SV302: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV302 @ SV195 ) )
= $true )
| ( ( ord_less_eq_set_val @ ( sup_sup_set_val @ SV71 @ SV302 ) @ SV195 )
= $true )
| ( ( ord_less_eq_set_val @ SV71 @ SV195 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1417]) ).
thf(1552,plain,
! [SV74: set_val,SV304: set_val,SV198: set_val] :
( ( ( ~ ( ord_less_set_val @ SV198 @ SV304 ) )
= $true )
| ( ( ord_less_set_val @ SV74 @ SV304 )
= $true )
| ( ( ord_less_eq_set_val @ SV74 @ SV198 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1422]) ).
thf(1553,plain,
! [SV75: set_val,SV199: set_val] :
( ( ( ~ ( ( ord_less_eq_set_val @ SV199 @ SV75 )
| ( SV199 = SV75 ) ) )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_set_val @ SV199 @ SV75 )
| ( SV199 != SV75 ) ) )
= $true )
| ( ( ord_less_eq_set_val @ SV75 @ SV199 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1423]) ).
thf(1554,plain,
! [SV77: set_val > set_val,SV305: set_val,SV201: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV201 @ SV305 ) )
= $true )
| ( ( ord_less_eq_set_val @ ( SV77 @ SV305 ) @ ( SV77 @ SV201 ) )
= $true )
| ( ( order_1719375026et_val @ SV77 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1425]) ).
thf(1555,plain,
! [SV79: set_val,SV306: set_val,SV203: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV203 @ SV306 ) )
= $true )
| ( ( ord_less_set_val @ SV79 @ SV306 )
= $true )
| ( ( ord_less_set_val @ SV79 @ SV203 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1426]) ).
thf(1556,plain,
! [SV375: set_val,SV307: set_val,SV204: set_val,SV80: set_val] :
( ( ( ~ ( ( ( set_or1554624499et_val @ SV80 @ SV204 )
= ( set_or1554624499et_val @ SV307 @ SV375 ) )
| ~ ( ( SV80 != SV307 )
| ( SV204 != SV375 ) )
| ~ ( ~ ~ ( ord_less_eq_set_val @ SV80 @ SV204 )
| ~ ~ ( ord_less_eq_set_val @ SV307 @ SV375 ) ) ) )
= $true )
| ( ( ~ ( ( ( set_or1554624499et_val @ SV80 @ SV204 )
!= ( set_or1554624499et_val @ SV307 @ SV375 ) )
| ~ ( ~ ( ( SV80 != SV307 )
| ( SV204 != SV375 ) )
| ~ ( ~ ~ ( ord_less_eq_set_val @ SV80 @ SV204 )
| ~ ~ ( ord_less_eq_set_val @ SV307 @ SV375 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1427]) ).
thf(1557,plain,
! [SV81: set_val,SV308: set_val,SV205: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV205 @ SV308 ) )
= $true )
| ( ( ord_less_eq_set_val @ SV81 @ SV308 )
= $true )
| ( ( ord_less_eq_set_val @ SV81 @ SV205 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1429]) ).
thf(1558,plain,
! [SV376: set_val,SV206: set_val] :
( ( ( ~ ( ( ord_less_set_val @ SV206 @ SV376 )
| ~ ( ~ ( ord_less_eq_set_val @ SV206 @ SV376 )
| ~ ( ( SV206 != SV376 ) ) ) ) )
= $true )
| ( ( ~ ( ~ ( ord_less_set_val @ SV206 @ SV376 )
| ~ ~ ( ~ ( ord_less_eq_set_val @ SV206 @ SV376 )
| ~ ( ( SV206 != SV376 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1430]) ).
thf(1559,plain,
! [SV377: val,SV310: val,SV207: val > set_val,SV83: set_val] :
( ( ( SV83
= ( SV207 @ SV310 ) )
= $false )
| ( ( ~ ( ord_less_eq_val @ SV310 @ SV377 )
| ~ ! [SY822: val,SY823: val] :
( ~ ( ord_less_eq_val @ SY822 @ SY823 )
| ( ord_less_eq_set_val @ ( SV207 @ SY822 ) @ ( SV207 @ SY823 ) ) )
| ( ord_less_eq_set_val @ SV83 @ ( SV207 @ SV377 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1432]) ).
thf(1560,plain,
! [SV84: set_val,SV311: set_val,SV208: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV208 @ SV311 ) )
= $true )
| ( ( ord_less_set_val @ SV84 @ SV311 )
= $true )
| ( ( ord_less_set_val @ SV84 @ SV208 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1433]) ).
thf(1561,plain,
! [SV209: set_val,SV85: set_val] :
( ( ( SV85 != SV209 )
= $false )
| ( ( ord_less_set_val @ SV85 @ SV209 )
= $true )
| ( ( ord_less_eq_set_val @ SV85 @ SV209 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1434]) ).
thf(1562,plain,
! [SV378: set_val,SV211: set_val] :
( ( ( ~ ( ( ord_less_set_val @ SV211 @ SV378 )
| ~ ( ~ ( ord_less_eq_set_val @ SV211 @ SV378 )
| ~ ~ ( ord_less_eq_set_val @ SV378 @ SV211 ) ) ) )
= $true )
| ( ( ~ ( ~ ( ord_less_set_val @ SV211 @ SV378 )
| ~ ~ ( ~ ( ord_less_eq_set_val @ SV211 @ SV378 )
| ~ ~ ( ord_less_eq_set_val @ SV378 @ SV211 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1436]) ).
thf(1563,plain,
! [SV212: set_val,SV88: set_val,SV314: val] :
( ( ( ~ ( member_val @ SV314 @ SV88 ) )
= $true )
| ( ( member_val @ SV314 @ SV212 )
= $true )
| ( ( ord_less_eq_set_val @ SV88 @ SV212 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1438]) ).
thf(1564,plain,
! [SV213: set_val,SV89: set_val] :
( ( ( SV89 != SV213 )
= $false )
| ( ( ord_less_set_val @ SV89 @ SV213 )
= $true )
| ( ( ord_less_eq_set_val @ SV89 @ SV213 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1439]) ).
thf(1565,plain,
! [SV379: set_set_val,SV315: set_set_val,SV214: set_set_val > set_val,SV90: set_val] :
( ( ( ord_less_eq_set_val @ SV90 @ ( SV214 @ SV315 ) )
= $false )
| ( ( ~ ( ord_le1742111550et_val @ SV315 @ SV379 )
| ~ ! [SY830: set_set_val,SY831: set_set_val] :
( ~ ( ord_le1742111550et_val @ SY830 @ SY831 )
| ( ord_less_eq_set_val @ ( SV214 @ SY830 ) @ ( SV214 @ SY831 ) ) )
| ( ord_less_eq_set_val @ SV90 @ ( SV214 @ SV379 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1440]) ).
thf(1566,plain,
! [SV215: set_val,SV316: set_val,SV91: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV91 @ SV316 )
| ~ ( ord_less_eq_set_val @ SV215 @ SV316 ) )
= $false )
| ( ( ord_less_eq_set_val @ ( sup_sup_set_val @ SV91 @ SV215 ) @ SV316 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1441]) ).
thf(1567,plain,
! [SV380: set_val,SV317: set_val,SV216: set_val > set_val,SV92: set_val] :
( ( ( ord_less_set_val @ SV92 @ ( SV216 @ SV317 ) )
= $false )
| ( ( ~ ( ord_less_eq_set_val @ SV317 @ SV380 )
| ~ ! [SY835: set_val,SY836: set_val] :
( ~ ( ord_less_eq_set_val @ SY835 @ SY836 )
| ( ord_less_eq_set_val @ ( SV216 @ SY835 ) @ ( SV216 @ SY836 ) ) )
| ( ord_less_set_val @ SV92 @ ( SV216 @ SV380 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1442]) ).
thf(1568,plain,
! [SV217: set_val,SV93: set_val] :
( ( ( ~ ( ( ord_less_eq_set_val @ SV93 @ SV217 )
| ( SV93 = SV217 ) )
| ~ ( ~ ( ord_less_eq_set_val @ SV93 @ SV217 )
| ( SV93 != SV217 ) ) )
= $true )
| ( ( ord_less_set_val @ SV93 @ SV217 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1443]) ).
thf(1569,plain,
! [SV217: set_val,SV93: set_val] :
( ( ( ( ord_less_eq_set_val @ SV93 @ SV217 )
= ( SV93 = SV217 ) )
= $true )
| ( ( ord_less_set_val @ SV93 @ SV217 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1443]) ).
thf(1570,plain,
! [SV218: set_val,SV94: set_val,SV318: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV318 @ SV94 ) )
= $true )
| ( ( ord_less_eq_set_val @ SV318 @ SV218 )
= $true )
| ( ( ord_less_eq_set_val @ SV94 @ SV218 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1444]) ).
thf(1571,plain,
! [SV96: set_val,SV220: set_val] :
( ( ( ord_less_eq_set_val @ SV220 @ SV96 )
= $false )
| ( ( SV96 = SV220 )
= $true )
| ( ( ord_less_eq_set_val @ SV96 @ SV220 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1445]) ).
thf(1572,plain,
! [SV381: set_val,SV222: set_val] :
( ( ( ~ ( ( SV222 = SV381 )
| ~ ( ~ ( ord_less_eq_set_val @ SV381 @ SV222 )
| ~ ( ord_less_eq_set_val @ SV222 @ SV381 ) ) ) )
= $true )
| ( ( ~ ( ( SV222 != SV381 )
| ~ ~ ( ~ ( ord_less_eq_set_val @ SV381 @ SV222 )
| ~ ( ord_less_eq_set_val @ SV222 @ SV381 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1447]) ).
thf(1573,plain,
! [SV397: set_val,SV382: set_val,SV321: set_val,SV223: set_val,SV99: $o] :
( ( ( ~ ( ~ SV99
| ( ord_less_eq_set_val @ SV223 @ SV321 ) ) )
= $true )
| ( ( ~ ( ~ ~ SV99
| ( ord_less_eq_set_val @ SV382 @ SV397 ) )
| ( ord_less_eq_set_val @ ( if_set_val @ SV99 @ SV223 @ SV382 ) @ ( if_set_val @ SV99 @ SV321 @ SV397 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1449]) ).
thf(1574,plain,
! [SV398: set_val,SV383: set_val,SV322: set_val,SV224: set_val] :
( ( ( ~ ( ~ $true
| ( ord_less_eq_set_val @ SV224 @ SV322 ) ) )
= $true )
| ( ( ~ ( ~ ~ $true
| ( ord_less_eq_set_val @ SV383 @ SV398 ) )
| ( ord_less_eq_set_val @ ( if_set_val @ $true @ SV224 @ SV383 ) @ ( if_set_val @ $true @ SV322 @ SV398 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1450]) ).
thf(1575,plain,
! [SV399: set_val,SV384: set_val,SV323: set_val,SV225: set_val] :
( ( ( ~ ( ~ $false
| ( ord_less_eq_set_val @ SV225 @ SV323 ) ) )
= $true )
| ( ( ~ ( ~ ~ $false
| ( ord_less_eq_set_val @ SV384 @ SV399 ) )
| ( ord_less_eq_set_val @ ( if_set_val @ $false @ SV225 @ SV384 ) @ ( if_set_val @ $false @ SV323 @ SV399 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1451]) ).
thf(1576,plain,
! [SV385: set_val,SV226: set_val] :
( ( ( ~ ( ( ord_less_eq_set_val @ SV226 @ SV385 )
| ! [SY1033: val] :
( ~ ( member_val @ SY1033 @ SV226 )
| ( member_val @ SY1033 @ SV385 ) ) ) )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_set_val @ SV226 @ SV385 )
| ~ ! [SY1033: val] :
( ~ ( member_val @ SY1033 @ SV226 )
| ( member_val @ SY1033 @ SV385 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1452]) ).
thf(1577,plain,
! [SV386: set_val,SV325: set_val,SV227: set_val > set_val,SV101: set_val] :
( ( ( ord_less_eq_set_val @ SV101 @ ( SV227 @ SV325 ) )
= $false )
| ( ( ~ ( ord_less_eq_set_val @ SV325 @ SV386 )
| ~ ! [SY854: set_val,SY855: set_val] :
( ~ ( ord_less_eq_set_val @ SY854 @ SY855 )
| ( ord_less_eq_set_val @ ( SV227 @ SY854 ) @ ( SV227 @ SY855 ) ) )
| ( ord_less_eq_set_val @ SV101 @ ( SV227 @ SV386 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1454]) ).
thf(1578,plain,
! [SV103: set_val,SV229: set_val] :
( ( ( ord_less_eq_set_val @ SV229 @ SV103 )
= $false )
| ( ( SV229 = SV103 )
= $true )
| ( ( ord_less_eq_set_val @ SV103 @ SV229 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1455]) ).
thf(1579,plain,
! [SV104: set_val,SV230: set_val] :
( ( ( ord_less_eq_set_val @ SV230 @ SV104 )
= $false )
| ( ( SV104 = SV230 )
= $true )
| ( ( ord_less_eq_set_val @ SV104 @ SV230 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1456]) ).
thf(1580,plain,
! [SV232: set_val > set_val] :
( ( ( order_1719375026et_val @ SV232 )
= $false )
| ( ( ~ ( ~ ( order_1719375026et_val @ SV232 )
| ~ ! [SY856: set_val,SY857: set_val] :
( ~ ( ord_less_eq_set_val @ SY856 @ SY857 )
| ( ord_less_eq_set_val @ ( SV232 @ SY857 ) @ ( SV232 @ SY856 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1458]) ).
thf(1581,plain,
! [SV232: set_val > set_val] :
( ( ( ! [SY856: set_val,SY857: set_val] :
( ~ ( ord_less_eq_set_val @ SY856 @ SY857 )
| ( ord_less_eq_set_val @ ( SV232 @ SY857 ) @ ( SV232 @ SY856 ) ) ) )
= $false )
| ( ( ~ ( ~ ( order_1719375026et_val @ SV232 )
| ~ ! [SY856: set_val,SY857: set_val] :
( ~ ( ord_less_eq_set_val @ SY856 @ SY857 )
| ( ord_less_eq_set_val @ ( SV232 @ SY857 ) @ ( SV232 @ SY856 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1458]) ).
thf(1582,plain,
! [SV387: set_val,SV326: set_val,SV234: set_val > val,SV108: val] :
( ( ( SV108
= ( SV234 @ SV326 ) )
= $false )
| ( ( ~ ( ord_less_eq_set_val @ SV326 @ SV387 )
| ~ ! [SY860: set_val,SY861: set_val] :
( ~ ( ord_less_eq_set_val @ SY860 @ SY861 )
| ( ord_less_eq_val @ ( SV234 @ SY860 ) @ ( SV234 @ SY861 ) ) )
| ( ord_less_eq_val @ SV108 @ ( SV234 @ SV387 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1459]) ).
thf(1583,plain,
! [SV388: val,SV327: set_val > val,SV235: set_val,SV109: set_val] :
( ( ( ord_less_eq_set_val @ SV109 @ SV235 )
= $false )
| ( ( ~ ( ord_less_eq_val @ ( SV327 @ SV235 ) @ SV388 )
| ~ ! [SY976: set_val,SY977: set_val] :
( ~ ( ord_less_eq_set_val @ SY976 @ SY977 )
| ( ord_less_eq_val @ ( SV327 @ SY976 ) @ ( SV327 @ SY977 ) ) )
| ( ord_less_eq_val @ ( SV327 @ SV109 ) @ SV388 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1460]) ).
thf(1584,plain,
! [SV389: set_val,SV328: set_set_val > set_val,SV236: set_set_val,SV110: set_set_val] :
( ( ( ord_le1742111550et_val @ SV110 @ SV236 )
= $false )
| ( ( ( ( SV328 @ SV236 )
!= SV389 )
| ~ ! [SY979: set_set_val,SY980: set_set_val] :
( ~ ( ord_le1742111550et_val @ SY979 @ SY980 )
| ( ord_less_eq_set_val @ ( SV328 @ SY979 ) @ ( SV328 @ SY980 ) ) )
| ( ord_less_eq_set_val @ ( SV328 @ SV110 ) @ SV389 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1461]) ).
thf(1585,plain,
! [SV111: set_val > set_val,SV329: set_val,SV237: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV237 @ SV329 ) )
= $true )
| ( ( ord_less_eq_set_val @ ( SV111 @ SV329 ) @ ( SV111 @ SV237 ) )
= $true )
| ( ( order_1719375026et_val @ SV111 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1462]) ).
thf(1586,plain,
! [SV390: set_val,SV330: set_val,SV238: set_val,SV112: $o] :
( ( ( ~ SV112
| ( ord_less_eq_set_val @ SV238 @ SV330 ) )
= $false )
| ( ( ~ ( ~ ~ SV112
| ( ord_less_eq_set_val @ SV390 @ SV330 ) )
| ( ord_less_eq_set_val @ ( if_set_val @ SV112 @ SV238 @ SV390 ) @ SV330 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1463]) ).
thf(1587,plain,
! [SV391: set_val,SV331: set_val,SV239: set_val] :
( ( ( ~ $true
| ( ord_less_eq_set_val @ SV239 @ SV331 ) )
= $false )
| ( ( ~ ( ~ ~ $true
| ( ord_less_eq_set_val @ SV391 @ SV331 ) )
| ( ord_less_eq_set_val @ ( if_set_val @ $true @ SV239 @ SV391 ) @ SV331 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1464]) ).
thf(1588,plain,
! [SV392: set_val,SV332: set_val,SV240: set_val] :
( ( ( ~ $false
| ( ord_less_eq_set_val @ SV240 @ SV332 ) )
= $false )
| ( ( ~ ( ~ ~ $false
| ( ord_less_eq_set_val @ SV392 @ SV332 ) )
| ( ord_less_eq_set_val @ ( if_set_val @ $false @ SV240 @ SV392 ) @ SV332 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1465]) ).
thf(1589,plain,
! [SV393: set_val,SV333: set_val,SV241: set_val > set_val,SV113: set_val] :
( ( ( SV113
= ( SV241 @ SV333 ) )
= $false )
| ( ( ~ ( ord_less_eq_set_val @ SV333 @ SV393 )
| ~ ! [SY879: set_val,SY880: set_val] :
( ~ ( ord_less_eq_set_val @ SY879 @ SY880 )
| ( ord_less_eq_set_val @ ( SV241 @ SY879 ) @ ( SV241 @ SY880 ) ) )
| ( ord_less_eq_set_val @ SV113 @ ( SV241 @ SV393 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1466]) ).
thf(1590,plain,
! [SV334: set_val > $o,SV243: set_val,SV115: set_val > $o] :
( ( ( ~ ! [SY882: set_val] :
( ~ ( SV115 @ SY882 )
| ( ord_less_eq_set_val @ SY882 @ SV243 ) ) )
= $true )
| ( ( ~ ! [SY988: set_val] :
( ~ ( SV115 @ SY988 )
| ~ ! [SY677: set_val] :
( ~ ( SV115 @ SY677 )
| ( ord_less_eq_set_val @ SY677 @ SY988 ) )
| ( SV334 @ SY988 ) )
| ( SV334 @ ( order_1960465943et_val @ SV115 ) ) )
= $true )
| ( ( SV115 @ SV243 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1467]) ).
thf(1591,plain,
! [SV394: set_val,SV244: set_val] :
( ( ( ~ ( ( ord_less_set_val @ SV244 @ SV394 )
| ~ ( ~ ( ord_less_eq_set_val @ SV244 @ SV394 )
| ~ ( ( SV394 != SV244 ) ) ) ) )
= $true )
| ( ( ~ ( ~ ( ord_less_set_val @ SV244 @ SV394 )
| ~ ~ ( ~ ( ord_less_eq_set_val @ SV244 @ SV394 )
| ~ ( ( SV394 != SV244 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1468]) ).
thf(1592,plain,
! [SV336: set_val,SV245: set_val,SV117: set_val] :
( ( ( ( ord_less_eq_set_val @ ( sup_sup_set_val @ SV117 @ SV245 ) @ SV336 )
| ~ ( ~ ( ord_less_eq_set_val @ SV117 @ SV336 )
| ~ ( ord_less_eq_set_val @ SV245 @ SV336 ) ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_val @ ( sup_sup_set_val @ SV117 @ SV245 ) @ SV336 )
| ~ ~ ( ~ ( ord_less_eq_set_val @ SV117 @ SV336 )
| ~ ( ord_less_eq_set_val @ SV245 @ SV336 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1470]) ).
thf(1593,plain,
! [SV118: set_val > set_val,SV246: set_val > set_val] :
( ( ( ( ord_less_eq_set_val @ ( sK4_SY887 @ SV246 @ SV118 ) @ ( SV118 @ ( sK8_SY1045 @ SV118 @ SV246 ) ) )
= ( ord_less_eq_set_val @ ( SV246 @ ( sK4_SY887 @ SV246 @ SV118 ) ) @ ( sK8_SY1045 @ SV118 @ SV246 ) ) )
= $false )
| ( ( refine1929691018et_val @ SV246 @ SV118 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1471]) ).
thf(1594,plain,
! [SV121: set_val,SV337: set_val,SV249: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV249 @ SV337 ) )
= $true )
| ( ( ord_less_set_val @ SV121 @ SV337 )
= $true )
| ( ( ord_less_set_val @ SV121 @ SV249 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1472]) ).
thf(1595,plain,
! [SV123: set_val,SV339: set_val,SV251: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV251 @ SV339 ) )
= $true )
| ( ( ord_less_eq_set_val @ SV123 @ SV339 )
= $true )
| ( ( SV123 = SV251 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1474]) ).
thf(1596,plain,
! [SV395: set_val,SV340: set_val,SV253: set_val > set_val,SV125: set_val > set_val] :
( ( ( refine1929691018et_val @ SV125 @ SV253 )
= $false )
| ( ( ( ord_less_eq_set_val @ SV340 @ ( SV253 @ SV395 ) )
= ( ord_less_eq_set_val @ ( SV125 @ SV340 ) @ SV395 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1475]) ).
thf(1597,plain,
! [SV128: set_val > set_val] :
( ( ( ~ ( ord_less_eq_set_val @ ( sK1_SY699 @ SV128 ) @ ( sK6_SY1044 @ SV128 ) ) )
= $false )
| ( ( order_1719375026et_val @ SV128 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1477]) ).
thf(1598,plain,
! [SV128: set_val > set_val] :
( ( ( ord_less_eq_set_val @ ( SV128 @ ( sK6_SY1044 @ SV128 ) ) @ ( SV128 @ ( sK1_SY699 @ SV128 ) ) )
= $false )
| ( ( order_1719375026et_val @ SV128 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1477]) ).
thf(1599,plain,
! [SV256: set_val,SV129: set_val,SV341: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV341 @ SV129 ) )
= $true )
| ( ( ord_less_set_val @ SV341 @ SV256 )
= $true )
| ( ( ord_less_set_val @ SV129 @ SV256 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1478]) ).
thf(1600,plain,
! [SV342: $o > set_val,SV130: $o > set_val] :
( ( ( ( ord_le994826475et_val @ SV130 @ SV342 )
| ! [SY991: $o] : ( ord_less_eq_set_val @ ( SV130 @ SY991 ) @ ( SV342 @ SY991 ) ) )
= $false )
| ( ( ~ ( ~ ( ord_le994826475et_val @ SV130 @ SV342 )
| ~ ! [SY991: $o] : ( ord_less_eq_set_val @ ( SV130 @ SY991 ) @ ( SV342 @ SY991 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1479]) ).
thf(1601,plain,
! [SV343: set_val > set_val,SV131: set_val > set_val] :
( ( ( ( refine1929691018et_val @ SV131 @ SV343 )
| ! [SY992: set_val,SY993: set_val] :
( ( ord_less_eq_set_val @ SY992 @ ( SV343 @ SY993 ) )
= ( ord_less_eq_set_val @ ( SV131 @ SY992 ) @ SY993 ) ) )
= $false )
| ( ( ~ ( ~ ( refine1929691018et_val @ SV131 @ SV343 )
| ~ ! [SY992: set_val,SY993: set_val] :
( ( ord_less_eq_set_val @ SY992 @ ( SV343 @ SY993 ) )
= ( ord_less_eq_set_val @ ( SV131 @ SY992 ) @ SY993 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1480]) ).
thf(1602,plain,
! [SV132: set_val,SV6: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ ( uminus1961393973et_val @ SV6 ) @ ( uminus1961393973et_val @ SV132 ) )
| ~ ( ord_less_eq_set_val @ SV132 @ SV6 ) )
= $false )
| ( ( ord_less_eq_set_val @ ( uminus1961393973et_val @ SV6 ) @ ( uminus1961393973et_val @ SV132 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1481]) ).
thf(1603,plain,
! [SV132: set_val,SV6: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ ( uminus1961393973et_val @ SV6 ) @ ( uminus1961393973et_val @ SV132 ) )
| ~ ( ord_less_eq_set_val @ SV132 @ SV6 ) )
= $false )
| ( ( ord_less_eq_set_val @ SV132 @ SV6 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1482]) ).
thf(1604,plain,
! [SV344: set_val,SV133: set_val] :
( ( ( ( ord_less_eq_set_val @ SV133 @ SV344 )
| ( ord_less_set_val @ SV133 @ SV344 )
| ( SV133 = SV344 ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_val @ SV133 @ SV344 )
| ~ ( ( ord_less_set_val @ SV133 @ SV344 )
| ( SV133 = SV344 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1483]) ).
thf(1605,plain,
! [SV345: set_val,SV134: set_val] :
( ( ( ( ord_less_eq_set_val @ SV134 @ SV345 )
| ( ord_less_set_val @ SV134 @ SV345 )
| ( SV134 = SV345 ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_val @ SV134 @ SV345 )
| ~ ( ( ord_less_set_val @ SV134 @ SV345 )
| ( SV134 = SV345 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1484]) ).
thf(1606,plain,
! [SV346: set_val,SV135: set_val] :
( ( ( ( ord_less_eq_set_val @ SV135 @ SV346 )
| ( ord_less_set_val @ SV135 @ SV346 )
| ( SV346 = SV135 ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_val @ SV135 @ SV346 )
| ~ ( ( ord_less_set_val @ SV135 @ SV346 )
| ( SV346 = SV135 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1485]) ).
thf(1607,plain,
! [SV347: set_val,SV136: set_val] :
( ( ( ( ord_less_eq_set_val @ SV136 @ SV347 )
| ( ord_less_set_val @ SV136 @ SV347 )
| ( SV136 = SV347 ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_val @ SV136 @ SV347 )
| ~ ( ( ord_less_set_val @ SV136 @ SV347 )
| ( SV136 = SV347 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1486]) ).
thf(1608,plain,
! [SV137: set_val,SV11: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ ( uminus1961393973et_val @ SV11 ) @ ( uminus1961393973et_val @ SV137 ) )
| ~ ( ord_less_eq_set_val @ SV137 @ SV11 ) )
= $false )
| ( ( ord_less_eq_set_val @ ( uminus1961393973et_val @ SV11 ) @ ( uminus1961393973et_val @ SV137 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1487]) ).
thf(1609,plain,
! [SV137: set_val,SV11: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ ( uminus1961393973et_val @ SV11 ) @ ( uminus1961393973et_val @ SV137 ) )
| ~ ( ord_less_eq_set_val @ SV137 @ SV11 ) )
= $false )
| ( ( ord_less_eq_set_val @ SV137 @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1488]) ).
thf(1610,plain,
! [SV348: set_val,SV138: set_val] :
( ( ( ( ord_less_eq_set_val @ SV138 @ SV348 )
| ( ( sup_sup_set_val @ SV138 @ SV348 )
= SV348 ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_val @ SV138 @ SV348 )
| ( ( sup_sup_set_val @ SV138 @ SV348 )
!= SV348 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1489]) ).
thf(1611,plain,
! [SV349: set_val,SV139: set_val] :
( ( ( ( ord_less_eq_set_val @ SV139 @ SV349 )
| ( ( sup_sup_set_val @ SV349 @ SV139 )
= SV349 ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_val @ SV139 @ SV349 )
| ( ( sup_sup_set_val @ SV349 @ SV139 )
!= SV349 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1490]) ).
thf(1612,plain,
! [SV350: set_val,SV142: set_val] :
( ( ( ( ord_less_eq_set_val @ SV142 @ SV350 )
| ( SV350
= ( sup_sup_set_val @ SV350 @ SV142 ) ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_val @ SV142 @ SV350 )
| ( SV350
!= ( sup_sup_set_val @ SV350 @ SV142 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1491]) ).
thf(1613,plain,
! [SV17: $o] :
( ( ( ~ SV17
| ~ $true )
= $false )
| ( SV17 = $false )
| ( ( SV17 = $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1492]) ).
thf(1614,plain,
! [SV17: $o] :
( ( ( ~ SV17
| ~ $true )
= $false )
| ( $true = $false )
| ( ( SV17 = $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1493]) ).
thf(1615,plain,
! [SV17: $o] :
( ( SV17 = $false )
| ( ( ~ ( ~ SV17
| ~ $false ) )
= $true )
| ( ( SV17 = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1494]) ).
thf(1616,plain,
! [SV17: $o] :
( ( $false = $false )
| ( ( ~ ( ~ SV17
| ~ $false ) )
= $true )
| ( ( SV17 = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1494]) ).
thf(1617,plain,
( ( ( ~ $true
| ~ $true )
= $false )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1495]) ).
thf(1618,plain,
( ( ( ~ $true
| ~ $true )
= $false )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1496]) ).
thf(1619,plain,
( ( $true = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1497]) ).
thf(1620,plain,
( ( $false = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1497]) ).
thf(1621,plain,
( ( ( ~ $false
| ~ $true )
= $false )
| ( $false = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1498]) ).
thf(1622,plain,
( ( ( ~ $false
| ~ $true )
= $false )
| ( $true = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1499]) ).
thf(1623,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1500]) ).
thf(1624,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1500]) ).
thf(1625,plain,
! [SV19: set_val > set_val > set_val,SV144: set_val,SV266: set_val] :
( ( ( ord_less_eq_set_val @ ( sK7_SY437 @ SV266 @ SV144 @ SV19 ) @ ( SV19 @ ( sK7_SY437 @ SV266 @ SV144 @ SV19 ) @ ( sK9_SY1046 @ SV19 @ SV144 @ SV266 ) ) )
= $false )
| ( ( ~ ! [SY439: set_val,SY440: set_val] : ( ord_less_eq_set_val @ SY440 @ ( SV19 @ SY439 @ SY440 ) )
| ~ ! [SY441: set_val,SY442: set_val,SY443: set_val] :
( ~ ( ord_less_eq_set_val @ SY442 @ SY441 )
| ~ ( ord_less_eq_set_val @ SY443 @ SY441 )
| ( ord_less_eq_set_val @ ( SV19 @ SY442 @ SY443 ) @ SY441 ) )
| ( ( sup_sup_set_val @ SV144 @ SV266 )
= ( SV19 @ SV144 @ SV266 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1501]) ).
thf(1626,plain,
! [SV145: set_val,SV20: set_val] :
( ( ( ord_less_eq_set_val @ SV20 @ SV145 )
= $true )
| ( ( ord_less_set_val @ SV20 @ SV145 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1502]) ).
thf(1627,plain,
! [SV21: set_val,SV267: set_val,SV146: set_val] :
( ( ( ord_less_eq_set_val @ SV146 @ SV267 )
= $false )
| ( ( ord_less_eq_set_val @ SV21 @ SV267 )
= $true )
| ( ( ord_less_eq_set_val @ SV21 @ SV146 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1504]) ).
thf(1628,plain,
! [SV22: set_val,SV147: val > set_val,SV351: val,SV268: val] :
( ( ( ~ ( ord_less_eq_val @ SV268 @ SV351 ) )
= $true )
| ( ( ~ ! [SY726: val,SY727: val] :
( ~ ( ord_less_eq_val @ SY726 @ SY727 )
| ( ord_less_eq_set_val @ ( SV147 @ SY726 ) @ ( SV147 @ SY727 ) ) )
| ( ord_less_eq_set_val @ SV22 @ ( SV147 @ SV351 ) ) )
= $true )
| ( ( ord_less_eq_set_val @ SV22 @ ( SV147 @ SV268 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1505]) ).
thf(1629,plain,
! [SV24: set_val,SV352: set_set_val,SV148: set_val,SV269: set_val > set_set_val] :
( ( ( ~ ( ord_le1742111550et_val @ ( SV269 @ SV148 ) @ SV352 ) )
= $true )
| ( ( ~ ! [SY910: set_val,SY911: set_val] :
( ~ ( ord_less_eq_set_val @ SY910 @ SY911 )
| ( ord_le1742111550et_val @ ( SV269 @ SY910 ) @ ( SV269 @ SY911 ) ) )
| ( ord_le1742111550et_val @ ( SV269 @ SV24 ) @ SV352 ) )
= $true )
| ( ( ord_less_eq_set_val @ SV24 @ SV148 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1506]) ).
thf(1630,plain,
! [SV353: set_val,SV149: set_val] :
( ( ( ( ord_less_set_val @ SV149 @ SV353 )
| ~ ( ~ ( ord_less_eq_set_val @ SV149 @ SV353 )
| ~ ( ( SV149 != SV353 ) ) ) )
= $false )
| ( ( ~ ( ~ ( ord_less_set_val @ SV149 @ SV353 )
| ~ ~ ( ~ ( ord_less_eq_set_val @ SV149 @ SV353 )
| ~ ( ( SV149 != SV353 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1507]) ).
thf(1631,plain,
! [SV354: set_val,SV150: set_val] :
( ( ( ( SV150 = SV354 )
| ~ ( ~ ( ord_less_eq_set_val @ SV150 @ SV354 )
| ~ ( ord_less_eq_set_val @ SV354 @ SV150 ) ) )
= $false )
| ( ( ~ ( ( SV150 != SV354 )
| ~ ~ ( ~ ( ord_less_eq_set_val @ SV150 @ SV354 )
| ~ ( ord_less_eq_set_val @ SV354 @ SV150 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1508]) ).
thf(1632,plain,
! [SV27: set_set_val,SV151: set_val > set_set_val,SV355: set_val,SV272: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV272 @ SV355 ) )
= $true )
| ( ( ~ ! [SY737: set_val,SY738: set_val] :
( ~ ( ord_less_eq_set_val @ SY737 @ SY738 )
| ( ord_le1742111550et_val @ ( SV151 @ SY737 ) @ ( SV151 @ SY738 ) ) )
| ( ord_le1742111550et_val @ SV27 @ ( SV151 @ SV355 ) ) )
= $true )
| ( ( ord_le1742111550et_val @ SV27 @ ( SV151 @ SV272 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1509]) ).
thf(1633,plain,
! [SV356: set_val,SV152: set_val] :
( ( ( ( ord_less_set_val @ SV152 @ SV356 )
| ~ ( ~ ( ord_less_eq_set_val @ SV152 @ SV356 )
| ~ ~ ( ord_less_eq_set_val @ SV356 @ SV152 ) ) )
= $false )
| ( ( ~ ( ~ ( ord_less_set_val @ SV152 @ SV356 )
| ~ ~ ( ~ ( ord_less_eq_set_val @ SV152 @ SV356 )
| ~ ~ ( ord_less_eq_set_val @ SV356 @ SV152 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1510]) ).
thf(1634,plain,
! [SV357: set_val,SV153: set_val] :
( ( ( ( ord_less_set_val @ SV153 @ SV357 )
| ~ ( ~ ( ord_less_eq_set_val @ SV153 @ SV357 )
| ~ ( ( SV153 != SV357 ) ) ) )
= $false )
| ( ( ~ ( ~ ( ord_less_set_val @ SV153 @ SV357 )
| ~ ~ ( ~ ( ord_less_eq_set_val @ SV153 @ SV357 )
| ~ ( ( SV153 != SV357 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1511]) ).
thf(1635,plain,
! [SV155: set_val,SV31: set_val] :
( ( ( ord_less_eq_set_val @ SV31 @ SV155 )
= $true )
| ( ( SV31 = SV155 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1512]) ).
thf(1636,plain,
! [SV31: set_val,SV155: set_val] :
( ( ( ord_less_eq_set_val @ SV155 @ SV31 )
= $true )
| ( ( SV31 = SV155 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1513]) ).
thf(1637,plain,
! [SV275: set_val,SV156: set_val,SV32: set_val] :
( ( ( ord_less_eq_set_val @ ( sup_sup_set_val @ SV32 @ SV156 ) @ SV275 )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_val @ ( sup_sup_set_val @ SV32 @ SV156 ) @ SV275 )
| ~ ~ ( ~ ( ord_less_eq_set_val @ SV32 @ SV275 )
| ~ ( ord_less_eq_set_val @ SV156 @ SV275 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1514]) ).
thf(1638,plain,
! [SV156: set_val,SV275: set_val,SV32: set_val] :
( ( ( ~ ( ~ ( ord_less_eq_set_val @ SV32 @ SV275 )
| ~ ( ord_less_eq_set_val @ SV156 @ SV275 ) ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_val @ ( sup_sup_set_val @ SV32 @ SV156 ) @ SV275 )
| ~ ~ ( ~ ( ord_less_eq_set_val @ SV32 @ SV275 )
| ~ ( ord_less_eq_set_val @ SV156 @ SV275 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1514]) ).
thf(1639,plain,
! [SV33: val,SV157: set_val > val,SV358: set_val,SV276: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV276 @ SV358 ) )
= $true )
| ( ( ~ ! [SY744: set_val,SY745: set_val] :
( ~ ( ord_less_eq_set_val @ SY744 @ SY745 )
| ( ord_less_eq_val @ ( SV157 @ SY744 ) @ ( SV157 @ SY745 ) ) )
| ( ord_less_eq_val @ SV33 @ ( SV157 @ SV358 ) ) )
= $true )
| ( ( ord_less_eq_val @ SV33 @ ( SV157 @ SV276 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1515]) ).
thf(1640,plain,
! [SV277: set_val,SV159: set_val,SV35: set_val] :
( ( ( ord_less_eq_set_val @ ( sup_sup_set_val @ SV35 @ SV159 ) @ SV277 )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_val @ ( sup_sup_set_val @ SV35 @ SV159 ) @ SV277 )
| ~ ~ ( ~ ( ord_less_eq_set_val @ SV35 @ SV277 )
| ~ ( ord_less_eq_set_val @ SV159 @ SV277 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1516]) ).
thf(1641,plain,
! [SV159: set_val,SV277: set_val,SV35: set_val] :
( ( ( ~ ( ~ ( ord_less_eq_set_val @ SV35 @ SV277 )
| ~ ( ord_less_eq_set_val @ SV159 @ SV277 ) ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_val @ ( sup_sup_set_val @ SV35 @ SV159 ) @ SV277 )
| ~ ~ ( ~ ( ord_less_eq_set_val @ SV35 @ SV277 )
| ~ ( ord_less_eq_set_val @ SV159 @ SV277 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1516]) ).
thf(1642,plain,
! [SV36: set_val,SV359: set_set_val,SV160: set_val,SV278: set_val > set_set_val] :
( ( ( ( SV278 @ SV160 )
!= SV359 )
= $true )
| ( ( ~ ! [SY919: set_val,SY920: set_val] :
( ~ ( ord_less_eq_set_val @ SY919 @ SY920 )
| ( ord_le1742111550et_val @ ( SV278 @ SY919 ) @ ( SV278 @ SY920 ) ) )
| ( ord_le1742111550et_val @ ( SV278 @ SV36 ) @ SV359 ) )
= $true )
| ( ( ord_less_eq_set_val @ SV36 @ SV160 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1517]) ).
thf(1643,plain,
! [SV38: val,SV360: set_val,SV162: val,SV279: val > set_val] :
( ( ( ( SV279 @ SV162 )
!= SV360 )
= $true )
| ( ( ~ ! [SY922: val,SY923: val] :
( ~ ( ord_less_eq_val @ SY922 @ SY923 )
| ( ord_less_eq_set_val @ ( SV279 @ SY922 ) @ ( SV279 @ SY923 ) ) )
| ( ord_less_eq_set_val @ ( SV279 @ SV38 ) @ SV360 ) )
= $true )
| ( ( ord_less_eq_val @ SV38 @ SV162 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1518]) ).
thf(1644,plain,
! [SV42: set_val,SV361: set_val,SV166: set_val,SV282: set_val > set_val] :
( ( ( ~ ( ord_less_eq_set_val @ ( SV282 @ SV166 ) @ SV361 ) )
= $true )
| ( ( ~ ! [SY925: set_val,SY926: set_val] :
( ~ ( ord_less_eq_set_val @ SY925 @ SY926 )
| ( ord_less_eq_set_val @ ( SV282 @ SY925 ) @ ( SV282 @ SY926 ) ) )
| ( ord_less_eq_set_val @ ( SV282 @ SV42 ) @ SV361 ) )
= $true )
| ( ( ord_less_eq_set_val @ SV42 @ SV166 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1519]) ).
thf(1645,plain,
! [SV362: set_val,SV167: set_val] :
( ( ( ( SV167 = SV362 )
| ~ ( ~ ( ord_less_eq_set_val @ SV167 @ SV362 )
| ~ ( ord_less_eq_set_val @ SV362 @ SV167 ) ) )
= $false )
| ( ( ~ ( ( SV167 != SV362 )
| ~ ~ ( ~ ( ord_less_eq_set_val @ SV167 @ SV362 )
| ~ ( ord_less_eq_set_val @ SV362 @ SV167 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1520]) ).
thf(1646,plain,
! [SV168: val > $o,SV44: val > $o] :
( ( ( ~ ( ord_less_eq_set_val @ ( collect_val @ SV44 ) @ ( collect_val @ SV168 ) )
| ~ ! [SY763: val] :
( ~ ( SV44 @ SY763 )
| ( SV168 @ SY763 ) ) )
= $false )
| ( ( ord_less_eq_set_val @ ( collect_val @ SV44 ) @ ( collect_val @ SV168 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1521]) ).
thf(1647,plain,
! [SV168: val > $o,SV44: val > $o] :
( ( ( ~ ( SV44 @ ( sK10_SY763 @ SV168 @ SV44 ) )
| ( SV168 @ ( sK10_SY763 @ SV168 @ SV44 ) ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_val @ ( collect_val @ SV44 ) @ ( collect_val @ SV168 ) )
| ~ ! [SY763: val] :
( ~ ( SV44 @ SY763 )
| ( SV168 @ SY763 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1522]) ).
thf(1648,plain,
! [SV45: set_set_val,SV169: set_val > set_set_val,SV363: set_val,SV284: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV284 @ SV363 ) )
= $true )
| ( ( ~ ! [SY766: set_val,SY767: set_val] :
( ~ ( ord_less_eq_set_val @ SY766 @ SY767 )
| ( ord_le1742111550et_val @ ( SV169 @ SY766 ) @ ( SV169 @ SY767 ) ) )
| ( ord_le1742111550et_val @ SV45 @ ( SV169 @ SV363 ) ) )
= $true )
| ( ( SV45
= ( SV169 @ SV284 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1523]) ).
thf(1649,plain,
! [SV46: set_set_val,SV364: set_val,SV170: set_set_val,SV285: set_set_val > set_val] :
( ( ( ~ ( ord_less_eq_set_val @ ( SV285 @ SV170 ) @ SV364 ) )
= $true )
| ( ( ~ ! [SY931: set_set_val,SY932: set_set_val] :
( ~ ( ord_le1742111550et_val @ SY931 @ SY932 )
| ( ord_less_eq_set_val @ ( SV285 @ SY931 ) @ ( SV285 @ SY932 ) ) )
| ( ord_less_eq_set_val @ ( SV285 @ SV46 ) @ SV364 ) )
= $true )
| ( ( ord_le1742111550et_val @ SV46 @ SV170 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1524]) ).
thf(1650,plain,
! [SV48: set_val,SV365: set_val,SV286: set_val,SV172: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV172 @ SV286 ) )
= $true )
| ( ( ( SV286 != SV365 )
| ( ord_less_eq_set_val @ SV48 @ SV365 ) )
= $true )
| ( ( SV48 = SV172 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1525]) ).
thf(1651,plain,
! [SV49: set_val,SV173: set_set_val > set_val,SV366: set_set_val,SV287: set_set_val] :
( ( ( ~ ( ord_le1742111550et_val @ SV287 @ SV366 ) )
= $true )
| ( ( ~ ! [SY776: set_set_val,SY777: set_set_val] :
( ~ ( ord_le1742111550et_val @ SY776 @ SY777 )
| ( ord_less_eq_set_val @ ( SV173 @ SY776 ) @ ( SV173 @ SY777 ) ) )
| ( ord_less_eq_set_val @ SV49 @ ( SV173 @ SV366 ) ) )
= $true )
| ( ( SV49
= ( SV173 @ SV287 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1526]) ).
thf(1652,plain,
! [SV50: set_val,SV288: set_val,SV174: set_val] :
( ( ( ord_less_eq_set_val @ SV174 @ SV288 )
= $false )
| ( ( ord_less_eq_set_val @ SV50 @ SV288 )
= $true )
| ( ( ord_less_eq_set_val @ SV50 @ SV174 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1527]) ).
thf(1653,plain,
! [SV367: set_val,SV175: set_val] :
( ( ( ( ord_less_eq_set_val @ SV175 @ SV367 )
| ! [SY1014: val] :
( ~ ( member_val @ SY1014 @ SV175 )
| ( member_val @ SY1014 @ SV367 ) ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_val @ SV175 @ SV367 )
| ~ ! [SY1014: val] :
( ~ ( member_val @ SY1014 @ SV175 )
| ( member_val @ SY1014 @ SV367 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1528]) ).
thf(1654,plain,
! [SV52: set_val,SV176: set_val] :
( ( ( member_val @ ( sK2_SY781 @ SV176 @ SV52 ) @ SV52 )
= $true )
| ( ( ord_less_eq_set_val @ SV52 @ SV176 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1529]) ).
thf(1655,plain,
! [SV53: val,SV368: set_val,SV177: val,SV290: val > set_val] :
( ( ( ~ ( ord_less_eq_set_val @ ( SV290 @ SV177 ) @ SV368 ) )
= $true )
| ( ( ~ ! [SY939: val,SY940: val] :
( ~ ( ord_less_eq_val @ SY939 @ SY940 )
| ( ord_less_eq_set_val @ ( SV290 @ SY939 ) @ ( SV290 @ SY940 ) ) )
| ( ord_less_eq_set_val @ ( SV290 @ SV53 ) @ SV368 ) )
= $true )
| ( ( ord_less_eq_val @ SV53 @ SV177 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1531]) ).
thf(1656,plain,
! [SV54: set_val,SV291: set_val,SV178: set_val] :
( ( ( ord_less_set_val @ SV178 @ SV291 )
= $false )
| ( ( ord_less_set_val @ SV54 @ SV291 )
= $true )
| ( ( ord_less_eq_set_val @ SV54 @ SV178 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1532]) ).
thf(1657,plain,
! [SV56: set_val,SV292: set_val,SV180: set_val] :
( ( ( SV180 = SV292 )
= $false )
| ( ( ord_less_eq_set_val @ SV56 @ SV292 )
= $true )
| ( ( ord_less_eq_set_val @ SV56 @ SV180 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1534]) ).
thf(1658,plain,
! [SV181: set_val,SV57: set_val > $o] :
( ( ( ~ ( SV57 @ ( sK11_SY788 @ SV181 @ SV57 ) )
| ( ord_less_eq_set_val @ ( sK11_SY788 @ SV181 @ SV57 ) @ SV181 ) )
= $false )
| ( ( ( order_1960465943et_val @ SV57 )
= SV181 )
= $true )
| ( ( SV57 @ SV181 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1535]) ).
thf(1659,plain,
! [SV396: $o,SV369: set_val,SV293: set_val,SV182: set_val,SV58: set_val] :
( ( ( ord_less_eq_set_val @ SV58 @ SV182 )
= $false )
| ( ( ~ ( ord_less_eq_set_val @ SV293 @ SV369 )
| ( ord_less_eq_set_val @ ( if_set_val @ SV396 @ SV58 @ SV293 ) @ ( if_set_val @ SV396 @ SV182 @ SV369 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1536]) ).
thf(1660,plain,
! [SV369: set_val,SV293: set_val,SV182: set_val,SV58: set_val] :
( ( ( ord_less_eq_set_val @ SV58 @ SV182 )
= $false )
| ( ( ~ ( ord_less_eq_set_val @ SV293 @ SV369 )
| ( ord_less_eq_set_val @ ( if_set_val @ $true @ SV58 @ SV293 ) @ ( if_set_val @ $true @ SV182 @ SV369 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1537]) ).
thf(1661,plain,
! [SV369: set_val,SV293: set_val,SV182: set_val,SV58: set_val] :
( ( ( ord_less_eq_set_val @ SV58 @ SV182 )
= $false )
| ( ( ~ ( ord_less_eq_set_val @ SV293 @ SV369 )
| ( ord_less_eq_set_val @ ( if_set_val @ $false @ SV58 @ SV293 ) @ ( if_set_val @ $false @ SV182 @ SV369 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1538]) ).
thf(1662,plain,
! [SV370: set_val,SV183: set_val] :
( ( ( ( SV183 = SV370 )
| ~ ( ~ ( ord_less_eq_set_val @ SV183 @ SV370 )
| ~ ( ord_less_eq_set_val @ SV370 @ SV183 ) ) )
= $false )
| ( ( ~ ( ( SV183 != SV370 )
| ~ ~ ( ~ ( ord_less_eq_set_val @ SV183 @ SV370 )
| ~ ( ord_less_eq_set_val @ SV370 @ SV183 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1539]) ).
thf(1663,plain,
! [SV60: set_val,SV371: set_val,SV184: set_val,SV295: set_val > set_val] :
( ( ( ~ ( ord_less_set_val @ ( SV295 @ SV184 ) @ SV371 ) )
= $true )
| ( ( ~ ! [SY944: set_val,SY945: set_val] :
( ~ ( ord_less_eq_set_val @ SY944 @ SY945 )
| ( ord_less_eq_set_val @ ( SV295 @ SY944 ) @ ( SV295 @ SY945 ) ) )
| ( ord_less_set_val @ ( SV295 @ SV60 ) @ SV371 ) )
= $true )
| ( ( ord_less_eq_set_val @ SV60 @ SV184 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1540]) ).
thf(1664,plain,
! [SV185: set_val,SV61: set_val] :
( ( ( ~ ( ord_less_set_val @ SV61 @ SV185 )
| ( SV61 = SV185 ) )
= $false )
| ( ( ~ ( ~ ~ ( ord_less_set_val @ SV61 @ SV185 )
| ( SV61 != SV185 ) ) )
= $true )
| ( ( ord_less_eq_set_val @ SV61 @ SV185 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1541]) ).
thf(1665,plain,
! [SV62: set_val,SV296: set_val,SV186: set_val] :
( ( ( ord_less_set_val @ SV186 @ SV296 )
= $false )
| ( ( ord_less_set_val @ SV62 @ SV296 )
= $true )
| ( ( ord_less_eq_set_val @ SV62 @ SV186 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1542]) ).
thf(1666,plain,
! [SV64: set_val,SV372: val,SV188: set_val,SV297: set_val > val] :
( ( ( ( SV297 @ SV188 )
!= SV372 )
= $true )
| ( ( ~ ! [SY947: set_val,SY948: set_val] :
( ~ ( ord_less_eq_set_val @ SY947 @ SY948 )
| ( ord_less_eq_val @ ( SV297 @ SY947 ) @ ( SV297 @ SY948 ) ) )
| ( ord_less_eq_val @ ( SV297 @ SV64 ) @ SV372 ) )
= $true )
| ( ( ord_less_eq_set_val @ SV64 @ SV188 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1543]) ).
thf(1667,plain,
! [SV189: set_val,SV65: set_val] :
( ( ( ord_less_eq_set_val @ SV65 @ SV189 )
= $false )
| ( ( ord_less_set_val @ SV65 @ SV189 )
= $true )
| ( ( SV65 = SV189 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1544]) ).
thf(1668,plain,
! [SV66: set_val,SV373: set_val,SV190: set_val,SV298: set_val > set_val] :
( ( ( ( SV298 @ SV190 )
!= SV373 )
= $true )
| ( ( ~ ! [SY950: set_val,SY951: set_val] :
( ~ ( ord_less_eq_set_val @ SY950 @ SY951 )
| ( ord_less_eq_set_val @ ( SV298 @ SY950 ) @ ( SV298 @ SY951 ) ) )
| ( ord_less_eq_set_val @ ( SV298 @ SV66 ) @ SV373 ) )
= $true )
| ( ( ord_less_eq_set_val @ SV66 @ SV190 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1545]) ).
thf(1669,plain,
! [SV191: val > $o,SV67: val > $o] :
( ( ( SV67 @ ( sK3_SY807 @ SV191 @ SV67 ) )
= $true )
| ( ( ord_less_eq_set_val @ ( collect_val @ SV67 ) @ ( collect_val @ SV191 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1546]) ).
thf(1670,plain,
! [SV192: set_val,SV68: set_val,SV299: set_val] :
( ( ( ord_less_set_val @ SV299 @ SV68 )
= $false )
| ( ( ord_less_set_val @ SV299 @ SV192 )
= $true )
| ( ( ord_less_eq_set_val @ SV68 @ SV192 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1548]) ).
thf(1671,plain,
! [SV193: set_val,SV69: set_val,SV300: val] :
( ( ( member_val @ SV300 @ SV69 )
= $false )
| ( ( member_val @ SV300 @ SV193 )
= $true )
| ( ( ord_less_eq_set_val @ SV69 @ SV193 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1549]) ).
thf(1672,plain,
! [SV374: $o > set_val,SV194: $o > set_val] :
( ( ( ( ord_le994826475et_val @ SV194 @ SV374 )
| ~ ( ~ ( ord_less_eq_set_val @ ( SV194 @ $false ) @ ( SV374 @ $false ) )
| ~ ( ord_less_eq_set_val @ ( SV194 @ $true ) @ ( SV374 @ $true ) ) ) )
= $false )
| ( ( ~ ( ~ ( ord_le994826475et_val @ SV194 @ SV374 )
| ~ ~ ( ~ ( ord_less_eq_set_val @ ( SV194 @ $false ) @ ( SV374 @ $false ) )
| ~ ( ord_less_eq_set_val @ ( SV194 @ $true ) @ ( SV374 @ $true ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1550]) ).
thf(1673,plain,
! [SV71: set_val,SV195: set_val,SV302: set_val] :
( ( ( ord_less_eq_set_val @ SV302 @ SV195 )
= $false )
| ( ( ord_less_eq_set_val @ ( sup_sup_set_val @ SV71 @ SV302 ) @ SV195 )
= $true )
| ( ( ord_less_eq_set_val @ SV71 @ SV195 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1551]) ).
thf(1674,plain,
! [SV74: set_val,SV304: set_val,SV198: set_val] :
( ( ( ord_less_set_val @ SV198 @ SV304 )
= $false )
| ( ( ord_less_set_val @ SV74 @ SV304 )
= $true )
| ( ( ord_less_eq_set_val @ SV74 @ SV198 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1552]) ).
thf(1675,plain,
! [SV75: set_val,SV199: set_val] :
( ( ( ( ord_less_eq_set_val @ SV199 @ SV75 )
| ( SV199 = SV75 ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_val @ SV199 @ SV75 )
| ( SV199 != SV75 ) ) )
= $true )
| ( ( ord_less_eq_set_val @ SV75 @ SV199 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1553]) ).
thf(1676,plain,
! [SV77: set_val > set_val,SV305: set_val,SV201: set_val] :
( ( ( ord_less_eq_set_val @ SV201 @ SV305 )
= $false )
| ( ( ord_less_eq_set_val @ ( SV77 @ SV305 ) @ ( SV77 @ SV201 ) )
= $true )
| ( ( order_1719375026et_val @ SV77 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1554]) ).
thf(1677,plain,
! [SV79: set_val,SV306: set_val,SV203: set_val] :
( ( ( ord_less_eq_set_val @ SV203 @ SV306 )
= $false )
| ( ( ord_less_set_val @ SV79 @ SV306 )
= $true )
| ( ( ord_less_set_val @ SV79 @ SV203 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1555]) ).
thf(1678,plain,
! [SV375: set_val,SV307: set_val,SV204: set_val,SV80: set_val] :
( ( ( ( ( set_or1554624499et_val @ SV80 @ SV204 )
= ( set_or1554624499et_val @ SV307 @ SV375 ) )
| ~ ( ( SV80 != SV307 )
| ( SV204 != SV375 ) )
| ~ ( ~ ~ ( ord_less_eq_set_val @ SV80 @ SV204 )
| ~ ~ ( ord_less_eq_set_val @ SV307 @ SV375 ) ) )
= $false )
| ( ( ~ ( ( ( set_or1554624499et_val @ SV80 @ SV204 )
!= ( set_or1554624499et_val @ SV307 @ SV375 ) )
| ~ ( ~ ( ( SV80 != SV307 )
| ( SV204 != SV375 ) )
| ~ ( ~ ~ ( ord_less_eq_set_val @ SV80 @ SV204 )
| ~ ~ ( ord_less_eq_set_val @ SV307 @ SV375 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1556]) ).
thf(1679,plain,
! [SV81: set_val,SV308: set_val,SV205: set_val] :
( ( ( ord_less_eq_set_val @ SV205 @ SV308 )
= $false )
| ( ( ord_less_eq_set_val @ SV81 @ SV308 )
= $true )
| ( ( ord_less_eq_set_val @ SV81 @ SV205 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1557]) ).
thf(1680,plain,
! [SV376: set_val,SV206: set_val] :
( ( ( ( ord_less_set_val @ SV206 @ SV376 )
| ~ ( ~ ( ord_less_eq_set_val @ SV206 @ SV376 )
| ~ ( ( SV206 != SV376 ) ) ) )
= $false )
| ( ( ~ ( ~ ( ord_less_set_val @ SV206 @ SV376 )
| ~ ~ ( ~ ( ord_less_eq_set_val @ SV206 @ SV376 )
| ~ ( ( SV206 != SV376 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1558]) ).
thf(1681,plain,
! [SV83: set_val,SV207: val > set_val,SV377: val,SV310: val] :
( ( ( ~ ( ord_less_eq_val @ SV310 @ SV377 ) )
= $true )
| ( ( ~ ! [SY822: val,SY823: val] :
( ~ ( ord_less_eq_val @ SY822 @ SY823 )
| ( ord_less_eq_set_val @ ( SV207 @ SY822 ) @ ( SV207 @ SY823 ) ) )
| ( ord_less_eq_set_val @ SV83 @ ( SV207 @ SV377 ) ) )
= $true )
| ( ( SV83
= ( SV207 @ SV310 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1559]) ).
thf(1682,plain,
! [SV84: set_val,SV311: set_val,SV208: set_val] :
( ( ( ord_less_eq_set_val @ SV208 @ SV311 )
= $false )
| ( ( ord_less_set_val @ SV84 @ SV311 )
= $true )
| ( ( ord_less_set_val @ SV84 @ SV208 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1560]) ).
thf(1683,plain,
! [SV209: set_val,SV85: set_val] :
( ( ( SV85 = SV209 )
= $true )
| ( ( ord_less_set_val @ SV85 @ SV209 )
= $true )
| ( ( ord_less_eq_set_val @ SV85 @ SV209 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1561]) ).
thf(1684,plain,
! [SV378: set_val,SV211: set_val] :
( ( ( ( ord_less_set_val @ SV211 @ SV378 )
| ~ ( ~ ( ord_less_eq_set_val @ SV211 @ SV378 )
| ~ ~ ( ord_less_eq_set_val @ SV378 @ SV211 ) ) )
= $false )
| ( ( ~ ( ~ ( ord_less_set_val @ SV211 @ SV378 )
| ~ ~ ( ~ ( ord_less_eq_set_val @ SV211 @ SV378 )
| ~ ~ ( ord_less_eq_set_val @ SV378 @ SV211 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1562]) ).
thf(1685,plain,
! [SV212: set_val,SV88: set_val,SV314: val] :
( ( ( member_val @ SV314 @ SV88 )
= $false )
| ( ( member_val @ SV314 @ SV212 )
= $true )
| ( ( ord_less_eq_set_val @ SV88 @ SV212 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1563]) ).
thf(1686,plain,
! [SV213: set_val,SV89: set_val] :
( ( ( SV89 = SV213 )
= $true )
| ( ( ord_less_set_val @ SV89 @ SV213 )
= $true )
| ( ( ord_less_eq_set_val @ SV89 @ SV213 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1564]) ).
thf(1687,plain,
! [SV90: set_val,SV214: set_set_val > set_val,SV379: set_set_val,SV315: set_set_val] :
( ( ( ~ ( ord_le1742111550et_val @ SV315 @ SV379 ) )
= $true )
| ( ( ~ ! [SY830: set_set_val,SY831: set_set_val] :
( ~ ( ord_le1742111550et_val @ SY830 @ SY831 )
| ( ord_less_eq_set_val @ ( SV214 @ SY830 ) @ ( SV214 @ SY831 ) ) )
| ( ord_less_eq_set_val @ SV90 @ ( SV214 @ SV379 ) ) )
= $true )
| ( ( ord_less_eq_set_val @ SV90 @ ( SV214 @ SV315 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1565]) ).
thf(1688,plain,
! [SV215: set_val,SV316: set_val,SV91: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV91 @ SV316 ) )
= $false )
| ( ( ord_less_eq_set_val @ ( sup_sup_set_val @ SV91 @ SV215 ) @ SV316 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1566]) ).
thf(1689,plain,
! [SV91: set_val,SV316: set_val,SV215: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV215 @ SV316 ) )
= $false )
| ( ( ord_less_eq_set_val @ ( sup_sup_set_val @ SV91 @ SV215 ) @ SV316 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1566]) ).
thf(1690,plain,
! [SV92: set_val,SV216: set_val > set_val,SV380: set_val,SV317: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV317 @ SV380 ) )
= $true )
| ( ( ~ ! [SY835: set_val,SY836: set_val] :
( ~ ( ord_less_eq_set_val @ SY835 @ SY836 )
| ( ord_less_eq_set_val @ ( SV216 @ SY835 ) @ ( SV216 @ SY836 ) ) )
| ( ord_less_set_val @ SV92 @ ( SV216 @ SV380 ) ) )
= $true )
| ( ( ord_less_set_val @ SV92 @ ( SV216 @ SV317 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1567]) ).
thf(1691,plain,
! [SV217: set_val,SV93: set_val] :
( ( ( ~ ( ( ord_less_eq_set_val @ SV93 @ SV217 )
| ( SV93 = SV217 ) ) )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_set_val @ SV93 @ SV217 )
| ( SV93 != SV217 ) ) )
= $true )
| ( ( ord_less_set_val @ SV93 @ SV217 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1568]) ).
thf(1692,plain,
! [SV218: set_val,SV94: set_val,SV318: set_val] :
( ( ( ord_less_eq_set_val @ SV318 @ SV94 )
= $false )
| ( ( ord_less_eq_set_val @ SV318 @ SV218 )
= $true )
| ( ( ord_less_eq_set_val @ SV94 @ SV218 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1570]) ).
thf(1693,plain,
! [SV381: set_val,SV222: set_val] :
( ( ( ( SV222 = SV381 )
| ~ ( ~ ( ord_less_eq_set_val @ SV381 @ SV222 )
| ~ ( ord_less_eq_set_val @ SV222 @ SV381 ) ) )
= $false )
| ( ( ~ ( ( SV222 != SV381 )
| ~ ~ ( ~ ( ord_less_eq_set_val @ SV381 @ SV222 )
| ~ ( ord_less_eq_set_val @ SV222 @ SV381 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1572]) ).
thf(1694,plain,
! [SV397: set_val,SV382: set_val,SV321: set_val,SV223: set_val,SV99: $o] :
( ( ( ~ SV99
| ( ord_less_eq_set_val @ SV223 @ SV321 ) )
= $false )
| ( ( ~ ( ~ ~ SV99
| ( ord_less_eq_set_val @ SV382 @ SV397 ) )
| ( ord_less_eq_set_val @ ( if_set_val @ SV99 @ SV223 @ SV382 ) @ ( if_set_val @ SV99 @ SV321 @ SV397 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1573]) ).
thf(1695,plain,
! [SV398: set_val,SV383: set_val,SV322: set_val,SV224: set_val] :
( ( ( ~ $true
| ( ord_less_eq_set_val @ SV224 @ SV322 ) )
= $false )
| ( ( ~ ( ~ ~ $true
| ( ord_less_eq_set_val @ SV383 @ SV398 ) )
| ( ord_less_eq_set_val @ ( if_set_val @ $true @ SV224 @ SV383 ) @ ( if_set_val @ $true @ SV322 @ SV398 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1574]) ).
thf(1696,plain,
! [SV399: set_val,SV384: set_val,SV323: set_val,SV225: set_val] :
( ( ( ~ $false
| ( ord_less_eq_set_val @ SV225 @ SV323 ) )
= $false )
| ( ( ~ ( ~ ~ $false
| ( ord_less_eq_set_val @ SV384 @ SV399 ) )
| ( ord_less_eq_set_val @ ( if_set_val @ $false @ SV225 @ SV384 ) @ ( if_set_val @ $false @ SV323 @ SV399 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1575]) ).
thf(1697,plain,
! [SV385: set_val,SV226: set_val] :
( ( ( ( ord_less_eq_set_val @ SV226 @ SV385 )
| ! [SY1033: val] :
( ~ ( member_val @ SY1033 @ SV226 )
| ( member_val @ SY1033 @ SV385 ) ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_val @ SV226 @ SV385 )
| ~ ! [SY1033: val] :
( ~ ( member_val @ SY1033 @ SV226 )
| ( member_val @ SY1033 @ SV385 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1576]) ).
thf(1698,plain,
! [SV101: set_val,SV227: set_val > set_val,SV386: set_val,SV325: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV325 @ SV386 ) )
= $true )
| ( ( ~ ! [SY854: set_val,SY855: set_val] :
( ~ ( ord_less_eq_set_val @ SY854 @ SY855 )
| ( ord_less_eq_set_val @ ( SV227 @ SY854 ) @ ( SV227 @ SY855 ) ) )
| ( ord_less_eq_set_val @ SV101 @ ( SV227 @ SV386 ) ) )
= $true )
| ( ( ord_less_eq_set_val @ SV101 @ ( SV227 @ SV325 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1577]) ).
thf(1699,plain,
! [SV232: set_val > set_val] :
( ( ( ~ ( order_1719375026et_val @ SV232 )
| ~ ! [SY856: set_val,SY857: set_val] :
( ~ ( ord_less_eq_set_val @ SY856 @ SY857 )
| ( ord_less_eq_set_val @ ( SV232 @ SY857 ) @ ( SV232 @ SY856 ) ) ) )
= $false )
| ( ( order_1719375026et_val @ SV232 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1580]) ).
thf(1700,plain,
! [SV232: set_val > set_val] :
( ( ( ! [SY1047: set_val] :
( ~ ( ord_less_eq_set_val @ ( sK12_SY856 @ SV232 ) @ SY1047 )
| ( ord_less_eq_set_val @ ( SV232 @ SY1047 ) @ ( SV232 @ ( sK12_SY856 @ SV232 ) ) ) ) )
= $false )
| ( ( ~ ( ~ ( order_1719375026et_val @ SV232 )
| ~ ! [SY856: set_val,SY857: set_val] :
( ~ ( ord_less_eq_set_val @ SY856 @ SY857 )
| ( ord_less_eq_set_val @ ( SV232 @ SY857 ) @ ( SV232 @ SY856 ) ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1581]) ).
thf(1701,plain,
! [SV108: val,SV234: set_val > val,SV387: set_val,SV326: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV326 @ SV387 ) )
= $true )
| ( ( ~ ! [SY860: set_val,SY861: set_val] :
( ~ ( ord_less_eq_set_val @ SY860 @ SY861 )
| ( ord_less_eq_val @ ( SV234 @ SY860 ) @ ( SV234 @ SY861 ) ) )
| ( ord_less_eq_val @ SV108 @ ( SV234 @ SV387 ) ) )
= $true )
| ( ( SV108
= ( SV234 @ SV326 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1582]) ).
thf(1702,plain,
! [SV109: set_val,SV388: val,SV235: set_val,SV327: set_val > val] :
( ( ( ~ ( ord_less_eq_val @ ( SV327 @ SV235 ) @ SV388 ) )
= $true )
| ( ( ~ ! [SY976: set_val,SY977: set_val] :
( ~ ( ord_less_eq_set_val @ SY976 @ SY977 )
| ( ord_less_eq_val @ ( SV327 @ SY976 ) @ ( SV327 @ SY977 ) ) )
| ( ord_less_eq_val @ ( SV327 @ SV109 ) @ SV388 ) )
= $true )
| ( ( ord_less_eq_set_val @ SV109 @ SV235 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1583]) ).
thf(1703,plain,
! [SV110: set_set_val,SV389: set_val,SV236: set_set_val,SV328: set_set_val > set_val] :
( ( ( ( SV328 @ SV236 )
!= SV389 )
= $true )
| ( ( ~ ! [SY979: set_set_val,SY980: set_set_val] :
( ~ ( ord_le1742111550et_val @ SY979 @ SY980 )
| ( ord_less_eq_set_val @ ( SV328 @ SY979 ) @ ( SV328 @ SY980 ) ) )
| ( ord_less_eq_set_val @ ( SV328 @ SV110 ) @ SV389 ) )
= $true )
| ( ( ord_le1742111550et_val @ SV110 @ SV236 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1584]) ).
thf(1704,plain,
! [SV111: set_val > set_val,SV329: set_val,SV237: set_val] :
( ( ( ord_less_eq_set_val @ SV237 @ SV329 )
= $false )
| ( ( ord_less_eq_set_val @ ( SV111 @ SV329 ) @ ( SV111 @ SV237 ) )
= $true )
| ( ( order_1719375026et_val @ SV111 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1585]) ).
thf(1705,plain,
! [SV238: set_val,SV330: set_val,SV390: set_val,SV112: $o] :
( ( ( ~ SV112 ) = $false )
| ( ( ~ ( ~ ~ SV112
| ( ord_less_eq_set_val @ SV390 @ SV330 ) )
| ( ord_less_eq_set_val @ ( if_set_val @ SV112 @ SV238 @ SV390 ) @ SV330 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1586]) ).
thf(1706,plain,
! [SV390: set_val,SV112: $o,SV330: set_val,SV238: set_val] :
( ( ( ord_less_eq_set_val @ SV238 @ SV330 )
= $false )
| ( ( ~ ( ~ ~ SV112
| ( ord_less_eq_set_val @ SV390 @ SV330 ) )
| ( ord_less_eq_set_val @ ( if_set_val @ SV112 @ SV238 @ SV390 ) @ SV330 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1586]) ).
thf(1707,plain,
! [SV239: set_val,SV331: set_val,SV391: set_val] :
( ( ( ~ $true ) = $false )
| ( ( ~ ( ~ ~ $true
| ( ord_less_eq_set_val @ SV391 @ SV331 ) )
| ( ord_less_eq_set_val @ ( if_set_val @ $true @ SV239 @ SV391 ) @ SV331 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1587]) ).
thf(1708,plain,
! [SV391: set_val,SV331: set_val,SV239: set_val] :
( ( ( ord_less_eq_set_val @ SV239 @ SV331 )
= $false )
| ( ( ~ ( ~ ~ $true
| ( ord_less_eq_set_val @ SV391 @ SV331 ) )
| ( ord_less_eq_set_val @ ( if_set_val @ $true @ SV239 @ SV391 ) @ SV331 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1587]) ).
thf(1709,plain,
! [SV240: set_val,SV332: set_val,SV392: set_val] :
( ( ( ~ $false ) = $false )
| ( ( ~ ( ~ ~ $false
| ( ord_less_eq_set_val @ SV392 @ SV332 ) )
| ( ord_less_eq_set_val @ ( if_set_val @ $false @ SV240 @ SV392 ) @ SV332 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1588]) ).
thf(1710,plain,
! [SV392: set_val,SV332: set_val,SV240: set_val] :
( ( ( ord_less_eq_set_val @ SV240 @ SV332 )
= $false )
| ( ( ~ ( ~ ~ $false
| ( ord_less_eq_set_val @ SV392 @ SV332 ) )
| ( ord_less_eq_set_val @ ( if_set_val @ $false @ SV240 @ SV392 ) @ SV332 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1588]) ).
thf(1711,plain,
! [SV113: set_val,SV241: set_val > set_val,SV393: set_val,SV333: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV333 @ SV393 ) )
= $true )
| ( ( ~ ! [SY879: set_val,SY880: set_val] :
( ~ ( ord_less_eq_set_val @ SY879 @ SY880 )
| ( ord_less_eq_set_val @ ( SV241 @ SY879 ) @ ( SV241 @ SY880 ) ) )
| ( ord_less_eq_set_val @ SV113 @ ( SV241 @ SV393 ) ) )
= $true )
| ( ( SV113
= ( SV241 @ SV333 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1589]) ).
thf(1712,plain,
! [SV334: set_val > $o,SV243: set_val,SV115: set_val > $o] :
( ( ( ! [SY882: set_val] :
( ~ ( SV115 @ SY882 )
| ( ord_less_eq_set_val @ SY882 @ SV243 ) ) )
= $false )
| ( ( ~ ! [SY988: set_val] :
( ~ ( SV115 @ SY988 )
| ~ ! [SY677: set_val] :
( ~ ( SV115 @ SY677 )
| ( ord_less_eq_set_val @ SY677 @ SY988 ) )
| ( SV334 @ SY988 ) )
| ( SV334 @ ( order_1960465943et_val @ SV115 ) ) )
= $true )
| ( ( SV115 @ SV243 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1590]) ).
thf(1713,plain,
! [SV394: set_val,SV244: set_val] :
( ( ( ( ord_less_set_val @ SV244 @ SV394 )
| ~ ( ~ ( ord_less_eq_set_val @ SV244 @ SV394 )
| ~ ( ( SV394 != SV244 ) ) ) )
= $false )
| ( ( ~ ( ~ ( ord_less_set_val @ SV244 @ SV394 )
| ~ ~ ( ~ ( ord_less_eq_set_val @ SV244 @ SV394 )
| ~ ( ( SV394 != SV244 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1591]) ).
thf(1714,plain,
! [SV336: set_val,SV245: set_val,SV117: set_val] :
( ( ( ord_less_eq_set_val @ ( sup_sup_set_val @ SV117 @ SV245 ) @ SV336 )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_val @ ( sup_sup_set_val @ SV117 @ SV245 ) @ SV336 )
| ~ ~ ( ~ ( ord_less_eq_set_val @ SV117 @ SV336 )
| ~ ( ord_less_eq_set_val @ SV245 @ SV336 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1592]) ).
thf(1715,plain,
! [SV245: set_val,SV336: set_val,SV117: set_val] :
( ( ( ~ ( ~ ( ord_less_eq_set_val @ SV117 @ SV336 )
| ~ ( ord_less_eq_set_val @ SV245 @ SV336 ) ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_val @ ( sup_sup_set_val @ SV117 @ SV245 ) @ SV336 )
| ~ ~ ( ~ ( ord_less_eq_set_val @ SV117 @ SV336 )
| ~ ( ord_less_eq_set_val @ SV245 @ SV336 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1592]) ).
thf(1716,plain,
! [SV118: set_val > set_val,SV246: set_val > set_val] :
( ( ( ~ ( ( ord_less_eq_set_val @ ( sK4_SY887 @ SV246 @ SV118 ) @ ( SV118 @ ( sK8_SY1045 @ SV118 @ SV246 ) ) )
| ( ord_less_eq_set_val @ ( SV246 @ ( sK4_SY887 @ SV246 @ SV118 ) ) @ ( sK8_SY1045 @ SV118 @ SV246 ) ) )
| ~ ( ~ ( ord_less_eq_set_val @ ( sK4_SY887 @ SV246 @ SV118 ) @ ( SV118 @ ( sK8_SY1045 @ SV118 @ SV246 ) ) )
| ~ ( ord_less_eq_set_val @ ( SV246 @ ( sK4_SY887 @ SV246 @ SV118 ) ) @ ( sK8_SY1045 @ SV118 @ SV246 ) ) ) )
= $false )
| ( ( refine1929691018et_val @ SV246 @ SV118 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[1593]) ).
thf(1717,plain,
! [SV118: set_val > set_val,SV246: set_val > set_val] :
( ( ( ( ord_less_eq_set_val @ ( sK4_SY887 @ SV246 @ SV118 ) @ ( SV118 @ ( sK8_SY1045 @ SV118 @ SV246 ) ) )
= ( ord_less_eq_set_val @ ( SV246 @ ( sK4_SY887 @ SV246 @ SV118 ) ) @ ( sK8_SY1045 @ SV118 @ SV246 ) ) )
= $false )
| ( ( refine1929691018et_val @ SV246 @ SV118 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[1593]) ).
thf(1718,plain,
! [SV121: set_val,SV337: set_val,SV249: set_val] :
( ( ( ord_less_eq_set_val @ SV249 @ SV337 )
= $false )
| ( ( ord_less_set_val @ SV121 @ SV337 )
= $true )
| ( ( ord_less_set_val @ SV121 @ SV249 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1594]) ).
thf(1719,plain,
! [SV123: set_val,SV339: set_val,SV251: set_val] :
( ( ( ord_less_eq_set_val @ SV251 @ SV339 )
= $false )
| ( ( ord_less_eq_set_val @ SV123 @ SV339 )
= $true )
| ( ( SV123 = SV251 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1595]) ).
thf(1720,plain,
! [SV125: set_val > set_val,SV395: set_val,SV253: set_val > set_val,SV340: set_val] :
( ( ( ~ ( ( ord_less_eq_set_val @ SV340 @ ( SV253 @ SV395 ) )
| ( ord_less_eq_set_val @ ( SV125 @ SV340 ) @ SV395 ) )
| ~ ( ~ ( ord_less_eq_set_val @ SV340 @ ( SV253 @ SV395 ) )
| ~ ( ord_less_eq_set_val @ ( SV125 @ SV340 ) @ SV395 ) ) )
= $true )
| ( ( refine1929691018et_val @ SV125 @ SV253 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1596]) ).
thf(1721,plain,
! [SV125: set_val > set_val,SV395: set_val,SV253: set_val > set_val,SV340: set_val] :
( ( ( ( ord_less_eq_set_val @ SV340 @ ( SV253 @ SV395 ) )
= ( ord_less_eq_set_val @ ( SV125 @ SV340 ) @ SV395 ) )
= $true )
| ( ( refine1929691018et_val @ SV125 @ SV253 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1596]) ).
thf(1722,plain,
! [SV128: set_val > set_val] :
( ( ( ord_less_eq_set_val @ ( sK1_SY699 @ SV128 ) @ ( sK6_SY1044 @ SV128 ) )
= $true )
| ( ( order_1719375026et_val @ SV128 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1597]) ).
thf(1723,plain,
! [SV256: set_val,SV129: set_val,SV341: set_val] :
( ( ( ord_less_eq_set_val @ SV341 @ SV129 )
= $false )
| ( ( ord_less_set_val @ SV341 @ SV256 )
= $true )
| ( ( ord_less_set_val @ SV129 @ SV256 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1599]) ).
thf(1724,plain,
! [SV342: $o > set_val,SV130: $o > set_val] :
( ( ( ord_le994826475et_val @ SV130 @ SV342 )
= $false )
| ( ( ~ ( ~ ( ord_le994826475et_val @ SV130 @ SV342 )
| ~ ! [SY991: $o] : ( ord_less_eq_set_val @ ( SV130 @ SY991 ) @ ( SV342 @ SY991 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1600]) ).
thf(1725,plain,
! [SV342: $o > set_val,SV130: $o > set_val] :
( ( ( ! [SY991: $o] : ( ord_less_eq_set_val @ ( SV130 @ SY991 ) @ ( SV342 @ SY991 ) ) )
= $false )
| ( ( ~ ( ~ ( ord_le994826475et_val @ SV130 @ SV342 )
| ~ ! [SY991: $o] : ( ord_less_eq_set_val @ ( SV130 @ SY991 ) @ ( SV342 @ SY991 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1600]) ).
thf(1726,plain,
! [SV343: set_val > set_val,SV131: set_val > set_val] :
( ( ( refine1929691018et_val @ SV131 @ SV343 )
= $false )
| ( ( ~ ( ~ ( refine1929691018et_val @ SV131 @ SV343 )
| ~ ! [SY992: set_val,SY993: set_val] :
( ( ord_less_eq_set_val @ SY992 @ ( SV343 @ SY993 ) )
= ( ord_less_eq_set_val @ ( SV131 @ SY992 ) @ SY993 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1601]) ).
thf(1727,plain,
! [SV131: set_val > set_val,SV343: set_val > set_val] :
( ( ( ! [SY992: set_val,SY993: set_val] :
( ( ord_less_eq_set_val @ SY992 @ ( SV343 @ SY993 ) )
= ( ord_less_eq_set_val @ ( SV131 @ SY992 ) @ SY993 ) ) )
= $false )
| ( ( ~ ( ~ ( refine1929691018et_val @ SV131 @ SV343 )
| ~ ! [SY992: set_val,SY993: set_val] :
( ( ord_less_eq_set_val @ SY992 @ ( SV343 @ SY993 ) )
= ( ord_less_eq_set_val @ ( SV131 @ SY992 ) @ SY993 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1601]) ).
thf(1728,plain,
! [SV132: set_val,SV6: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ ( uminus1961393973et_val @ SV6 ) @ ( uminus1961393973et_val @ SV132 ) ) )
= $false )
| ( ( ord_less_eq_set_val @ ( uminus1961393973et_val @ SV6 ) @ ( uminus1961393973et_val @ SV132 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1602]) ).
thf(1729,plain,
! [SV6: set_val,SV132: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV132 @ SV6 ) )
= $false )
| ( ( ord_less_eq_set_val @ ( uminus1961393973et_val @ SV6 ) @ ( uminus1961393973et_val @ SV132 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1602]) ).
thf(1730,plain,
! [SV132: set_val,SV6: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ ( uminus1961393973et_val @ SV6 ) @ ( uminus1961393973et_val @ SV132 ) ) )
= $false )
| ( ( ord_less_eq_set_val @ SV132 @ SV6 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1603]) ).
thf(1731,plain,
! [SV6: set_val,SV132: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV132 @ SV6 ) )
= $false )
| ( ( ord_less_eq_set_val @ SV132 @ SV6 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1603]) ).
thf(1732,plain,
! [SV344: set_val,SV133: set_val] :
( ( ( ord_less_eq_set_val @ SV133 @ SV344 )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_val @ SV133 @ SV344 )
| ~ ( ( ord_less_set_val @ SV133 @ SV344 )
| ( SV133 = SV344 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1604]) ).
thf(1733,plain,
! [SV344: set_val,SV133: set_val] :
( ( ( ( ord_less_set_val @ SV133 @ SV344 )
| ( SV133 = SV344 ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_val @ SV133 @ SV344 )
| ~ ( ( ord_less_set_val @ SV133 @ SV344 )
| ( SV133 = SV344 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1604]) ).
thf(1734,plain,
! [SV345: set_val,SV134: set_val] :
( ( ( ord_less_eq_set_val @ SV134 @ SV345 )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_val @ SV134 @ SV345 )
| ~ ( ( ord_less_set_val @ SV134 @ SV345 )
| ( SV134 = SV345 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1605]) ).
thf(1735,plain,
! [SV345: set_val,SV134: set_val] :
( ( ( ( ord_less_set_val @ SV134 @ SV345 )
| ( SV134 = SV345 ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_val @ SV134 @ SV345 )
| ~ ( ( ord_less_set_val @ SV134 @ SV345 )
| ( SV134 = SV345 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1605]) ).
thf(1736,plain,
! [SV346: set_val,SV135: set_val] :
( ( ( ord_less_eq_set_val @ SV135 @ SV346 )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_val @ SV135 @ SV346 )
| ~ ( ( ord_less_set_val @ SV135 @ SV346 )
| ( SV346 = SV135 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1606]) ).
thf(1737,plain,
! [SV346: set_val,SV135: set_val] :
( ( ( ( ord_less_set_val @ SV135 @ SV346 )
| ( SV346 = SV135 ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_val @ SV135 @ SV346 )
| ~ ( ( ord_less_set_val @ SV135 @ SV346 )
| ( SV346 = SV135 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1606]) ).
thf(1738,plain,
! [SV347: set_val,SV136: set_val] :
( ( ( ord_less_eq_set_val @ SV136 @ SV347 )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_val @ SV136 @ SV347 )
| ~ ( ( ord_less_set_val @ SV136 @ SV347 )
| ( SV136 = SV347 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1607]) ).
thf(1739,plain,
! [SV347: set_val,SV136: set_val] :
( ( ( ( ord_less_set_val @ SV136 @ SV347 )
| ( SV136 = SV347 ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_val @ SV136 @ SV347 )
| ~ ( ( ord_less_set_val @ SV136 @ SV347 )
| ( SV136 = SV347 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1607]) ).
thf(1740,plain,
! [SV137: set_val,SV11: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ ( uminus1961393973et_val @ SV11 ) @ ( uminus1961393973et_val @ SV137 ) ) )
= $false )
| ( ( ord_less_eq_set_val @ ( uminus1961393973et_val @ SV11 ) @ ( uminus1961393973et_val @ SV137 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1608]) ).
thf(1741,plain,
! [SV11: set_val,SV137: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV137 @ SV11 ) )
= $false )
| ( ( ord_less_eq_set_val @ ( uminus1961393973et_val @ SV11 ) @ ( uminus1961393973et_val @ SV137 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1608]) ).
thf(1742,plain,
! [SV137: set_val,SV11: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ ( uminus1961393973et_val @ SV11 ) @ ( uminus1961393973et_val @ SV137 ) ) )
= $false )
| ( ( ord_less_eq_set_val @ SV137 @ SV11 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1609]) ).
thf(1743,plain,
! [SV11: set_val,SV137: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV137 @ SV11 ) )
= $false )
| ( ( ord_less_eq_set_val @ SV137 @ SV11 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1609]) ).
thf(1744,plain,
! [SV348: set_val,SV138: set_val] :
( ( ( ord_less_eq_set_val @ SV138 @ SV348 )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_val @ SV138 @ SV348 )
| ( ( sup_sup_set_val @ SV138 @ SV348 )
!= SV348 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1610]) ).
thf(1745,plain,
! [SV348: set_val,SV138: set_val] :
( ( ( ( sup_sup_set_val @ SV138 @ SV348 )
= SV348 )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_val @ SV138 @ SV348 )
| ( ( sup_sup_set_val @ SV138 @ SV348 )
!= SV348 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1610]) ).
thf(1746,plain,
! [SV349: set_val,SV139: set_val] :
( ( ( ord_less_eq_set_val @ SV139 @ SV349 )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_val @ SV139 @ SV349 )
| ( ( sup_sup_set_val @ SV349 @ SV139 )
!= SV349 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1611]) ).
thf(1747,plain,
! [SV139: set_val,SV349: set_val] :
( ( ( ( sup_sup_set_val @ SV349 @ SV139 )
= SV349 )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_val @ SV139 @ SV349 )
| ( ( sup_sup_set_val @ SV349 @ SV139 )
!= SV349 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1611]) ).
thf(1748,plain,
! [SV350: set_val,SV142: set_val] :
( ( ( ord_less_eq_set_val @ SV142 @ SV350 )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_val @ SV142 @ SV350 )
| ( SV350
!= ( sup_sup_set_val @ SV350 @ SV142 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1612]) ).
thf(1749,plain,
! [SV142: set_val,SV350: set_val] :
( ( ( SV350
= ( sup_sup_set_val @ SV350 @ SV142 ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_val @ SV142 @ SV350 )
| ( SV350
!= ( sup_sup_set_val @ SV350 @ SV142 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1612]) ).
thf(1750,plain,
! [SV17: $o] :
( ( ( ~ SV17 ) = $false )
| ( SV17 = $false )
| ( ( SV17 = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1613]) ).
thf(1751,plain,
! [SV17: $o] :
( ( ( ~ $true ) = $false )
| ( SV17 = $false )
| ( ( SV17 = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1613]) ).
thf(1752,plain,
! [SV17: $o] :
( ( ( ~ SV17 ) = $false )
| ( $true = $false )
| ( ( SV17 = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1614]) ).
thf(1753,plain,
! [SV17: $o] :
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( ( SV17 = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1614]) ).
thf(1754,plain,
! [SV17: $o] :
( ( ( ~ SV17
| ~ $false )
= $false )
| ( SV17 = $false )
| ( ( SV17 = $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1615]) ).
thf(1755,plain,
! [SV17: $o] :
( ( ( ~ SV17
| ~ $false )
= $false )
| ( $false = $false )
| ( ( SV17 = $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1616]) ).
thf(1756,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1617]) ).
thf(1757,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1617]) ).
thf(1758,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1618]) ).
thf(1759,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1618]) ).
thf(1760,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $true = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1619]) ).
thf(1761,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $false = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1620]) ).
thf(1762,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1621]) ).
thf(1763,plain,
( ( ( ~ $true ) = $false )
| ( $false = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1621]) ).
thf(1764,plain,
( ( ( ~ $false ) = $false )
| ( $true = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1622]) ).
thf(1765,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1622]) ).
thf(1766,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1623]) ).
thf(1767,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1624]) ).
thf(1768,plain,
! [SV266: set_val,SV144: set_val,SV19: set_val > set_val > set_val] :
( ( ( ~ ! [SY439: set_val,SY440: set_val] : ( ord_less_eq_set_val @ SY440 @ ( SV19 @ SY439 @ SY440 ) ) )
= $true )
| ( ( ~ ! [SY441: set_val,SY442: set_val,SY443: set_val] :
( ~ ( ord_less_eq_set_val @ SY442 @ SY441 )
| ~ ( ord_less_eq_set_val @ SY443 @ SY441 )
| ( ord_less_eq_set_val @ ( SV19 @ SY442 @ SY443 ) @ SY441 ) )
| ( ( sup_sup_set_val @ SV144 @ SV266 )
= ( SV19 @ SV144 @ SV266 ) ) )
= $true )
| ( ( ord_less_eq_set_val @ ( sK7_SY437 @ SV266 @ SV144 @ SV19 ) @ ( SV19 @ ( sK7_SY437 @ SV266 @ SV144 @ SV19 ) @ ( sK9_SY1046 @ SV19 @ SV144 @ SV266 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1625]) ).
thf(1769,plain,
! [SV22: set_val,SV147: val > set_val,SV351: val,SV268: val] :
( ( ( ord_less_eq_val @ SV268 @ SV351 )
= $false )
| ( ( ~ ! [SY726: val,SY727: val] :
( ~ ( ord_less_eq_val @ SY726 @ SY727 )
| ( ord_less_eq_set_val @ ( SV147 @ SY726 ) @ ( SV147 @ SY727 ) ) )
| ( ord_less_eq_set_val @ SV22 @ ( SV147 @ SV351 ) ) )
= $true )
| ( ( ord_less_eq_set_val @ SV22 @ ( SV147 @ SV268 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1628]) ).
thf(1770,plain,
! [SV24: set_val,SV352: set_set_val,SV148: set_val,SV269: set_val > set_set_val] :
( ( ( ord_le1742111550et_val @ ( SV269 @ SV148 ) @ SV352 )
= $false )
| ( ( ~ ! [SY910: set_val,SY911: set_val] :
( ~ ( ord_less_eq_set_val @ SY910 @ SY911 )
| ( ord_le1742111550et_val @ ( SV269 @ SY910 ) @ ( SV269 @ SY911 ) ) )
| ( ord_le1742111550et_val @ ( SV269 @ SV24 ) @ SV352 ) )
= $true )
| ( ( ord_less_eq_set_val @ SV24 @ SV148 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1629]) ).
thf(1771,plain,
! [SV353: set_val,SV149: set_val] :
( ( ( ord_less_set_val @ SV149 @ SV353 )
= $false )
| ( ( ~ ( ~ ( ord_less_set_val @ SV149 @ SV353 )
| ~ ~ ( ~ ( ord_less_eq_set_val @ SV149 @ SV353 )
| ~ ( ( SV149 != SV353 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1630]) ).
thf(1772,plain,
! [SV353: set_val,SV149: set_val] :
( ( ( ~ ( ~ ( ord_less_eq_set_val @ SV149 @ SV353 )
| ~ ( ( SV149 != SV353 ) ) ) )
= $false )
| ( ( ~ ( ~ ( ord_less_set_val @ SV149 @ SV353 )
| ~ ~ ( ~ ( ord_less_eq_set_val @ SV149 @ SV353 )
| ~ ( ( SV149 != SV353 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1630]) ).
thf(1773,plain,
! [SV354: set_val,SV150: set_val] :
( ( ( SV150 = SV354 )
= $false )
| ( ( ~ ( ( SV150 != SV354 )
| ~ ~ ( ~ ( ord_less_eq_set_val @ SV150 @ SV354 )
| ~ ( ord_less_eq_set_val @ SV354 @ SV150 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1631]) ).
thf(1774,plain,
! [SV354: set_val,SV150: set_val] :
( ( ( ~ ( ~ ( ord_less_eq_set_val @ SV150 @ SV354 )
| ~ ( ord_less_eq_set_val @ SV354 @ SV150 ) ) )
= $false )
| ( ( ~ ( ( SV150 != SV354 )
| ~ ~ ( ~ ( ord_less_eq_set_val @ SV150 @ SV354 )
| ~ ( ord_less_eq_set_val @ SV354 @ SV150 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1631]) ).
thf(1775,plain,
! [SV27: set_set_val,SV151: set_val > set_set_val,SV355: set_val,SV272: set_val] :
( ( ( ord_less_eq_set_val @ SV272 @ SV355 )
= $false )
| ( ( ~ ! [SY737: set_val,SY738: set_val] :
( ~ ( ord_less_eq_set_val @ SY737 @ SY738 )
| ( ord_le1742111550et_val @ ( SV151 @ SY737 ) @ ( SV151 @ SY738 ) ) )
| ( ord_le1742111550et_val @ SV27 @ ( SV151 @ SV355 ) ) )
= $true )
| ( ( ord_le1742111550et_val @ SV27 @ ( SV151 @ SV272 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1632]) ).
thf(1776,plain,
! [SV356: set_val,SV152: set_val] :
( ( ( ord_less_set_val @ SV152 @ SV356 )
= $false )
| ( ( ~ ( ~ ( ord_less_set_val @ SV152 @ SV356 )
| ~ ~ ( ~ ( ord_less_eq_set_val @ SV152 @ SV356 )
| ~ ~ ( ord_less_eq_set_val @ SV356 @ SV152 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1633]) ).
thf(1777,plain,
! [SV356: set_val,SV152: set_val] :
( ( ( ~ ( ~ ( ord_less_eq_set_val @ SV152 @ SV356 )
| ~ ~ ( ord_less_eq_set_val @ SV356 @ SV152 ) ) )
= $false )
| ( ( ~ ( ~ ( ord_less_set_val @ SV152 @ SV356 )
| ~ ~ ( ~ ( ord_less_eq_set_val @ SV152 @ SV356 )
| ~ ~ ( ord_less_eq_set_val @ SV356 @ SV152 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1633]) ).
thf(1778,plain,
! [SV357: set_val,SV153: set_val] :
( ( ( ord_less_set_val @ SV153 @ SV357 )
= $false )
| ( ( ~ ( ~ ( ord_less_set_val @ SV153 @ SV357 )
| ~ ~ ( ~ ( ord_less_eq_set_val @ SV153 @ SV357 )
| ~ ( ( SV153 != SV357 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1634]) ).
thf(1779,plain,
! [SV357: set_val,SV153: set_val] :
( ( ( ~ ( ~ ( ord_less_eq_set_val @ SV153 @ SV357 )
| ~ ( ( SV153 != SV357 ) ) ) )
= $false )
| ( ( ~ ( ~ ( ord_less_set_val @ SV153 @ SV357 )
| ~ ~ ( ~ ( ord_less_eq_set_val @ SV153 @ SV357 )
| ~ ( ( SV153 != SV357 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1634]) ).
thf(1780,plain,
! [SV275: set_val,SV156: set_val,SV32: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ ( sup_sup_set_val @ SV32 @ SV156 ) @ SV275 )
| ~ ~ ( ~ ( ord_less_eq_set_val @ SV32 @ SV275 )
| ~ ( ord_less_eq_set_val @ SV156 @ SV275 ) ) )
= $false )
| ( ( ord_less_eq_set_val @ ( sup_sup_set_val @ SV32 @ SV156 ) @ SV275 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1637]) ).
thf(1781,plain,
! [SV156: set_val,SV275: set_val,SV32: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV32 @ SV275 )
| ~ ( ord_less_eq_set_val @ SV156 @ SV275 ) )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_set_val @ ( sup_sup_set_val @ SV32 @ SV156 ) @ SV275 )
| ~ ~ ( ~ ( ord_less_eq_set_val @ SV32 @ SV275 )
| ~ ( ord_less_eq_set_val @ SV156 @ SV275 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1638]) ).
thf(1782,plain,
! [SV33: val,SV157: set_val > val,SV358: set_val,SV276: set_val] :
( ( ( ord_less_eq_set_val @ SV276 @ SV358 )
= $false )
| ( ( ~ ! [SY744: set_val,SY745: set_val] :
( ~ ( ord_less_eq_set_val @ SY744 @ SY745 )
| ( ord_less_eq_val @ ( SV157 @ SY744 ) @ ( SV157 @ SY745 ) ) )
| ( ord_less_eq_val @ SV33 @ ( SV157 @ SV358 ) ) )
= $true )
| ( ( ord_less_eq_val @ SV33 @ ( SV157 @ SV276 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1639]) ).
thf(1783,plain,
! [SV277: set_val,SV159: set_val,SV35: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ ( sup_sup_set_val @ SV35 @ SV159 ) @ SV277 )
| ~ ~ ( ~ ( ord_less_eq_set_val @ SV35 @ SV277 )
| ~ ( ord_less_eq_set_val @ SV159 @ SV277 ) ) )
= $false )
| ( ( ord_less_eq_set_val @ ( sup_sup_set_val @ SV35 @ SV159 ) @ SV277 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1640]) ).
thf(1784,plain,
! [SV159: set_val,SV277: set_val,SV35: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV35 @ SV277 )
| ~ ( ord_less_eq_set_val @ SV159 @ SV277 ) )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_set_val @ ( sup_sup_set_val @ SV35 @ SV159 ) @ SV277 )
| ~ ~ ( ~ ( ord_less_eq_set_val @ SV35 @ SV277 )
| ~ ( ord_less_eq_set_val @ SV159 @ SV277 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1641]) ).
thf(1785,plain,
! [SV36: set_val,SV359: set_set_val,SV160: set_val,SV278: set_val > set_set_val] :
( ( ( ( SV278 @ SV160 )
= SV359 )
= $false )
| ( ( ~ ! [SY919: set_val,SY920: set_val] :
( ~ ( ord_less_eq_set_val @ SY919 @ SY920 )
| ( ord_le1742111550et_val @ ( SV278 @ SY919 ) @ ( SV278 @ SY920 ) ) )
| ( ord_le1742111550et_val @ ( SV278 @ SV36 ) @ SV359 ) )
= $true )
| ( ( ord_less_eq_set_val @ SV36 @ SV160 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1642]) ).
thf(1786,plain,
! [SV38: val,SV360: set_val,SV162: val,SV279: val > set_val] :
( ( ( ( SV279 @ SV162 )
= SV360 )
= $false )
| ( ( ~ ! [SY922: val,SY923: val] :
( ~ ( ord_less_eq_val @ SY922 @ SY923 )
| ( ord_less_eq_set_val @ ( SV279 @ SY922 ) @ ( SV279 @ SY923 ) ) )
| ( ord_less_eq_set_val @ ( SV279 @ SV38 ) @ SV360 ) )
= $true )
| ( ( ord_less_eq_val @ SV38 @ SV162 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1643]) ).
thf(1787,plain,
! [SV42: set_val,SV361: set_val,SV166: set_val,SV282: set_val > set_val] :
( ( ( ord_less_eq_set_val @ ( SV282 @ SV166 ) @ SV361 )
= $false )
| ( ( ~ ! [SY925: set_val,SY926: set_val] :
( ~ ( ord_less_eq_set_val @ SY925 @ SY926 )
| ( ord_less_eq_set_val @ ( SV282 @ SY925 ) @ ( SV282 @ SY926 ) ) )
| ( ord_less_eq_set_val @ ( SV282 @ SV42 ) @ SV361 ) )
= $true )
| ( ( ord_less_eq_set_val @ SV42 @ SV166 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1644]) ).
thf(1788,plain,
! [SV362: set_val,SV167: set_val] :
( ( ( SV167 = SV362 )
= $false )
| ( ( ~ ( ( SV167 != SV362 )
| ~ ~ ( ~ ( ord_less_eq_set_val @ SV167 @ SV362 )
| ~ ( ord_less_eq_set_val @ SV362 @ SV167 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1645]) ).
thf(1789,plain,
! [SV362: set_val,SV167: set_val] :
( ( ( ~ ( ~ ( ord_less_eq_set_val @ SV167 @ SV362 )
| ~ ( ord_less_eq_set_val @ SV362 @ SV167 ) ) )
= $false )
| ( ( ~ ( ( SV167 != SV362 )
| ~ ~ ( ~ ( ord_less_eq_set_val @ SV167 @ SV362 )
| ~ ( ord_less_eq_set_val @ SV362 @ SV167 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1645]) ).
thf(1790,plain,
! [SV168: val > $o,SV44: val > $o] :
( ( ( ~ ( ord_less_eq_set_val @ ( collect_val @ SV44 ) @ ( collect_val @ SV168 ) ) )
= $false )
| ( ( ord_less_eq_set_val @ ( collect_val @ SV44 ) @ ( collect_val @ SV168 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1646]) ).
thf(1791,plain,
! [SV168: val > $o,SV44: val > $o] :
( ( ( ~ ! [SY763: val] :
( ~ ( SV44 @ SY763 )
| ( SV168 @ SY763 ) ) )
= $false )
| ( ( ord_less_eq_set_val @ ( collect_val @ SV44 ) @ ( collect_val @ SV168 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1646]) ).
thf(1792,plain,
! [SV168: val > $o,SV44: val > $o] :
( ( ( ~ ( SV44 @ ( sK10_SY763 @ SV168 @ SV44 ) ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_val @ ( collect_val @ SV44 ) @ ( collect_val @ SV168 ) )
| ~ ! [SY763: val] :
( ~ ( SV44 @ SY763 )
| ( SV168 @ SY763 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1647]) ).
thf(1793,plain,
! [SV44: val > $o,SV168: val > $o] :
( ( ( SV168 @ ( sK10_SY763 @ SV168 @ SV44 ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_val @ ( collect_val @ SV44 ) @ ( collect_val @ SV168 ) )
| ~ ! [SY763: val] :
( ~ ( SV44 @ SY763 )
| ( SV168 @ SY763 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1647]) ).
thf(1794,plain,
! [SV45: set_set_val,SV169: set_val > set_set_val,SV363: set_val,SV284: set_val] :
( ( ( ord_less_eq_set_val @ SV284 @ SV363 )
= $false )
| ( ( ~ ! [SY766: set_val,SY767: set_val] :
( ~ ( ord_less_eq_set_val @ SY766 @ SY767 )
| ( ord_le1742111550et_val @ ( SV169 @ SY766 ) @ ( SV169 @ SY767 ) ) )
| ( ord_le1742111550et_val @ SV45 @ ( SV169 @ SV363 ) ) )
= $true )
| ( ( SV45
= ( SV169 @ SV284 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1648]) ).
thf(1795,plain,
! [SV46: set_set_val,SV364: set_val,SV170: set_set_val,SV285: set_set_val > set_val] :
( ( ( ord_less_eq_set_val @ ( SV285 @ SV170 ) @ SV364 )
= $false )
| ( ( ~ ! [SY931: set_set_val,SY932: set_set_val] :
( ~ ( ord_le1742111550et_val @ SY931 @ SY932 )
| ( ord_less_eq_set_val @ ( SV285 @ SY931 ) @ ( SV285 @ SY932 ) ) )
| ( ord_less_eq_set_val @ ( SV285 @ SV46 ) @ SV364 ) )
= $true )
| ( ( ord_le1742111550et_val @ SV46 @ SV170 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1649]) ).
thf(1796,plain,
! [SV48: set_val,SV365: set_val,SV286: set_val,SV172: set_val] :
( ( ( ord_less_eq_set_val @ SV172 @ SV286 )
= $false )
| ( ( ( SV286 != SV365 )
| ( ord_less_eq_set_val @ SV48 @ SV365 ) )
= $true )
| ( ( SV48 = SV172 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1650]) ).
thf(1797,plain,
! [SV49: set_val,SV173: set_set_val > set_val,SV366: set_set_val,SV287: set_set_val] :
( ( ( ord_le1742111550et_val @ SV287 @ SV366 )
= $false )
| ( ( ~ ! [SY776: set_set_val,SY777: set_set_val] :
( ~ ( ord_le1742111550et_val @ SY776 @ SY777 )
| ( ord_less_eq_set_val @ ( SV173 @ SY776 ) @ ( SV173 @ SY777 ) ) )
| ( ord_less_eq_set_val @ SV49 @ ( SV173 @ SV366 ) ) )
= $true )
| ( ( SV49
= ( SV173 @ SV287 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1651]) ).
thf(1798,plain,
! [SV367: set_val,SV175: set_val] :
( ( ( ord_less_eq_set_val @ SV175 @ SV367 )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_val @ SV175 @ SV367 )
| ~ ! [SY1014: val] :
( ~ ( member_val @ SY1014 @ SV175 )
| ( member_val @ SY1014 @ SV367 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1653]) ).
thf(1799,plain,
! [SV367: set_val,SV175: set_val] :
( ( ( ! [SY1014: val] :
( ~ ( member_val @ SY1014 @ SV175 )
| ( member_val @ SY1014 @ SV367 ) ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_val @ SV175 @ SV367 )
| ~ ! [SY1014: val] :
( ~ ( member_val @ SY1014 @ SV175 )
| ( member_val @ SY1014 @ SV367 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1653]) ).
thf(1800,plain,
! [SV53: val,SV368: set_val,SV177: val,SV290: val > set_val] :
( ( ( ord_less_eq_set_val @ ( SV290 @ SV177 ) @ SV368 )
= $false )
| ( ( ~ ! [SY939: val,SY940: val] :
( ~ ( ord_less_eq_val @ SY939 @ SY940 )
| ( ord_less_eq_set_val @ ( SV290 @ SY939 ) @ ( SV290 @ SY940 ) ) )
| ( ord_less_eq_set_val @ ( SV290 @ SV53 ) @ SV368 ) )
= $true )
| ( ( ord_less_eq_val @ SV53 @ SV177 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1655]) ).
thf(1801,plain,
! [SV181: set_val,SV57: set_val > $o] :
( ( ( ~ ( SV57 @ ( sK11_SY788 @ SV181 @ SV57 ) ) )
= $false )
| ( ( ( order_1960465943et_val @ SV57 )
= SV181 )
= $true )
| ( ( SV57 @ SV181 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1658]) ).
thf(1802,plain,
! [SV57: set_val > $o,SV181: set_val] :
( ( ( ord_less_eq_set_val @ ( sK11_SY788 @ SV181 @ SV57 ) @ SV181 )
= $false )
| ( ( ( order_1960465943et_val @ SV57 )
= SV181 )
= $true )
| ( ( SV57 @ SV181 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1658]) ).
thf(1803,plain,
! [SV182: set_val,SV58: set_val,SV396: $o,SV369: set_val,SV293: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV293 @ SV369 ) )
= $true )
| ( ( ord_less_eq_set_val @ ( if_set_val @ SV396 @ SV58 @ SV293 ) @ ( if_set_val @ SV396 @ SV182 @ SV369 ) )
= $true )
| ( ( ord_less_eq_set_val @ SV58 @ SV182 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1659]) ).
thf(1804,plain,
! [SV182: set_val,SV58: set_val,SV369: set_val,SV293: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV293 @ SV369 ) )
= $true )
| ( ( ord_less_eq_set_val @ ( if_set_val @ $true @ SV58 @ SV293 ) @ ( if_set_val @ $true @ SV182 @ SV369 ) )
= $true )
| ( ( ord_less_eq_set_val @ SV58 @ SV182 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1660]) ).
thf(1805,plain,
! [SV182: set_val,SV58: set_val,SV369: set_val,SV293: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV293 @ SV369 ) )
= $true )
| ( ( ord_less_eq_set_val @ ( if_set_val @ $false @ SV58 @ SV293 ) @ ( if_set_val @ $false @ SV182 @ SV369 ) )
= $true )
| ( ( ord_less_eq_set_val @ SV58 @ SV182 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1661]) ).
thf(1806,plain,
! [SV370: set_val,SV183: set_val] :
( ( ( SV183 = SV370 )
= $false )
| ( ( ~ ( ( SV183 != SV370 )
| ~ ~ ( ~ ( ord_less_eq_set_val @ SV183 @ SV370 )
| ~ ( ord_less_eq_set_val @ SV370 @ SV183 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1662]) ).
thf(1807,plain,
! [SV370: set_val,SV183: set_val] :
( ( ( ~ ( ~ ( ord_less_eq_set_val @ SV183 @ SV370 )
| ~ ( ord_less_eq_set_val @ SV370 @ SV183 ) ) )
= $false )
| ( ( ~ ( ( SV183 != SV370 )
| ~ ~ ( ~ ( ord_less_eq_set_val @ SV183 @ SV370 )
| ~ ( ord_less_eq_set_val @ SV370 @ SV183 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1662]) ).
thf(1808,plain,
! [SV60: set_val,SV371: set_val,SV184: set_val,SV295: set_val > set_val] :
( ( ( ord_less_set_val @ ( SV295 @ SV184 ) @ SV371 )
= $false )
| ( ( ~ ! [SY944: set_val,SY945: set_val] :
( ~ ( ord_less_eq_set_val @ SY944 @ SY945 )
| ( ord_less_eq_set_val @ ( SV295 @ SY944 ) @ ( SV295 @ SY945 ) ) )
| ( ord_less_set_val @ ( SV295 @ SV60 ) @ SV371 ) )
= $true )
| ( ( ord_less_eq_set_val @ SV60 @ SV184 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1663]) ).
thf(1809,plain,
! [SV185: set_val,SV61: set_val] :
( ( ( ~ ( ord_less_set_val @ SV61 @ SV185 ) )
= $false )
| ( ( ~ ( ~ ~ ( ord_less_set_val @ SV61 @ SV185 )
| ( SV61 != SV185 ) ) )
= $true )
| ( ( ord_less_eq_set_val @ SV61 @ SV185 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1664]) ).
thf(1810,plain,
! [SV185: set_val,SV61: set_val] :
( ( ( SV61 = SV185 )
= $false )
| ( ( ~ ( ~ ~ ( ord_less_set_val @ SV61 @ SV185 )
| ( SV61 != SV185 ) ) )
= $true )
| ( ( ord_less_eq_set_val @ SV61 @ SV185 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1664]) ).
thf(1811,plain,
! [SV64: set_val,SV372: val,SV188: set_val,SV297: set_val > val] :
( ( ( ( SV297 @ SV188 )
= SV372 )
= $false )
| ( ( ~ ! [SY947: set_val,SY948: set_val] :
( ~ ( ord_less_eq_set_val @ SY947 @ SY948 )
| ( ord_less_eq_val @ ( SV297 @ SY947 ) @ ( SV297 @ SY948 ) ) )
| ( ord_less_eq_val @ ( SV297 @ SV64 ) @ SV372 ) )
= $true )
| ( ( ord_less_eq_set_val @ SV64 @ SV188 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1666]) ).
thf(1812,plain,
! [SV66: set_val,SV373: set_val,SV190: set_val,SV298: set_val > set_val] :
( ( ( ( SV298 @ SV190 )
= SV373 )
= $false )
| ( ( ~ ! [SY950: set_val,SY951: set_val] :
( ~ ( ord_less_eq_set_val @ SY950 @ SY951 )
| ( ord_less_eq_set_val @ ( SV298 @ SY950 ) @ ( SV298 @ SY951 ) ) )
| ( ord_less_eq_set_val @ ( SV298 @ SV66 ) @ SV373 ) )
= $true )
| ( ( ord_less_eq_set_val @ SV66 @ SV190 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1668]) ).
thf(1813,plain,
! [SV374: $o > set_val,SV194: $o > set_val] :
( ( ( ord_le994826475et_val @ SV194 @ SV374 )
= $false )
| ( ( ~ ( ~ ( ord_le994826475et_val @ SV194 @ SV374 )
| ~ ~ ( ~ ( ord_less_eq_set_val @ ( SV194 @ $false ) @ ( SV374 @ $false ) )
| ~ ( ord_less_eq_set_val @ ( SV194 @ $true ) @ ( SV374 @ $true ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1672]) ).
thf(1814,plain,
! [SV374: $o > set_val,SV194: $o > set_val] :
( ( ( ~ ( ~ ( ord_less_eq_set_val @ ( SV194 @ $false ) @ ( SV374 @ $false ) )
| ~ ( ord_less_eq_set_val @ ( SV194 @ $true ) @ ( SV374 @ $true ) ) ) )
= $false )
| ( ( ~ ( ~ ( ord_le994826475et_val @ SV194 @ SV374 )
| ~ ~ ( ~ ( ord_less_eq_set_val @ ( SV194 @ $false ) @ ( SV374 @ $false ) )
| ~ ( ord_less_eq_set_val @ ( SV194 @ $true ) @ ( SV374 @ $true ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1672]) ).
thf(1815,plain,
! [SV75: set_val,SV199: set_val] :
( ( ( ord_less_eq_set_val @ SV199 @ SV75 )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_val @ SV199 @ SV75 )
| ( SV199 != SV75 ) ) )
= $true )
| ( ( ord_less_eq_set_val @ SV75 @ SV199 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1675]) ).
thf(1816,plain,
! [SV75: set_val,SV199: set_val] :
( ( ( SV199 = SV75 )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_val @ SV199 @ SV75 )
| ( SV199 != SV75 ) ) )
= $true )
| ( ( ord_less_eq_set_val @ SV75 @ SV199 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1675]) ).
thf(1817,plain,
! [SV375: set_val,SV307: set_val,SV204: set_val,SV80: set_val] :
( ( ( ( set_or1554624499et_val @ SV80 @ SV204 )
= ( set_or1554624499et_val @ SV307 @ SV375 ) )
= $false )
| ( ( ~ ( ( ( set_or1554624499et_val @ SV80 @ SV204 )
!= ( set_or1554624499et_val @ SV307 @ SV375 ) )
| ~ ( ~ ( ( SV80 != SV307 )
| ( SV204 != SV375 ) )
| ~ ( ~ ~ ( ord_less_eq_set_val @ SV80 @ SV204 )
| ~ ~ ( ord_less_eq_set_val @ SV307 @ SV375 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1678]) ).
thf(1818,plain,
! [SV375: set_val,SV204: set_val,SV307: set_val,SV80: set_val] :
( ( ( ~ ( ( SV80 != SV307 )
| ( SV204 != SV375 ) )
| ~ ( ~ ~ ( ord_less_eq_set_val @ SV80 @ SV204 )
| ~ ~ ( ord_less_eq_set_val @ SV307 @ SV375 ) ) )
= $false )
| ( ( ~ ( ( ( set_or1554624499et_val @ SV80 @ SV204 )
!= ( set_or1554624499et_val @ SV307 @ SV375 ) )
| ~ ( ~ ( ( SV80 != SV307 )
| ( SV204 != SV375 ) )
| ~ ( ~ ~ ( ord_less_eq_set_val @ SV80 @ SV204 )
| ~ ~ ( ord_less_eq_set_val @ SV307 @ SV375 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1678]) ).
thf(1819,plain,
! [SV376: set_val,SV206: set_val] :
( ( ( ord_less_set_val @ SV206 @ SV376 )
= $false )
| ( ( ~ ( ~ ( ord_less_set_val @ SV206 @ SV376 )
| ~ ~ ( ~ ( ord_less_eq_set_val @ SV206 @ SV376 )
| ~ ( ( SV206 != SV376 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1680]) ).
thf(1820,plain,
! [SV376: set_val,SV206: set_val] :
( ( ( ~ ( ~ ( ord_less_eq_set_val @ SV206 @ SV376 )
| ~ ( ( SV206 != SV376 ) ) ) )
= $false )
| ( ( ~ ( ~ ( ord_less_set_val @ SV206 @ SV376 )
| ~ ~ ( ~ ( ord_less_eq_set_val @ SV206 @ SV376 )
| ~ ( ( SV206 != SV376 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1680]) ).
thf(1821,plain,
! [SV83: set_val,SV207: val > set_val,SV377: val,SV310: val] :
( ( ( ord_less_eq_val @ SV310 @ SV377 )
= $false )
| ( ( ~ ! [SY822: val,SY823: val] :
( ~ ( ord_less_eq_val @ SY822 @ SY823 )
| ( ord_less_eq_set_val @ ( SV207 @ SY822 ) @ ( SV207 @ SY823 ) ) )
| ( ord_less_eq_set_val @ SV83 @ ( SV207 @ SV377 ) ) )
= $true )
| ( ( SV83
= ( SV207 @ SV310 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1681]) ).
thf(1822,plain,
! [SV378: set_val,SV211: set_val] :
( ( ( ord_less_set_val @ SV211 @ SV378 )
= $false )
| ( ( ~ ( ~ ( ord_less_set_val @ SV211 @ SV378 )
| ~ ~ ( ~ ( ord_less_eq_set_val @ SV211 @ SV378 )
| ~ ~ ( ord_less_eq_set_val @ SV378 @ SV211 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1684]) ).
thf(1823,plain,
! [SV378: set_val,SV211: set_val] :
( ( ( ~ ( ~ ( ord_less_eq_set_val @ SV211 @ SV378 )
| ~ ~ ( ord_less_eq_set_val @ SV378 @ SV211 ) ) )
= $false )
| ( ( ~ ( ~ ( ord_less_set_val @ SV211 @ SV378 )
| ~ ~ ( ~ ( ord_less_eq_set_val @ SV211 @ SV378 )
| ~ ~ ( ord_less_eq_set_val @ SV378 @ SV211 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1684]) ).
thf(1824,plain,
! [SV90: set_val,SV214: set_set_val > set_val,SV379: set_set_val,SV315: set_set_val] :
( ( ( ord_le1742111550et_val @ SV315 @ SV379 )
= $false )
| ( ( ~ ! [SY830: set_set_val,SY831: set_set_val] :
( ~ ( ord_le1742111550et_val @ SY830 @ SY831 )
| ( ord_less_eq_set_val @ ( SV214 @ SY830 ) @ ( SV214 @ SY831 ) ) )
| ( ord_less_eq_set_val @ SV90 @ ( SV214 @ SV379 ) ) )
= $true )
| ( ( ord_less_eq_set_val @ SV90 @ ( SV214 @ SV315 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1687]) ).
thf(1825,plain,
! [SV215: set_val,SV316: set_val,SV91: set_val] :
( ( ( ord_less_eq_set_val @ SV91 @ SV316 )
= $true )
| ( ( ord_less_eq_set_val @ ( sup_sup_set_val @ SV91 @ SV215 ) @ SV316 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1688]) ).
thf(1826,plain,
! [SV91: set_val,SV316: set_val,SV215: set_val] :
( ( ( ord_less_eq_set_val @ SV215 @ SV316 )
= $true )
| ( ( ord_less_eq_set_val @ ( sup_sup_set_val @ SV91 @ SV215 ) @ SV316 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1689]) ).
thf(1827,plain,
! [SV92: set_val,SV216: set_val > set_val,SV380: set_val,SV317: set_val] :
( ( ( ord_less_eq_set_val @ SV317 @ SV380 )
= $false )
| ( ( ~ ! [SY835: set_val,SY836: set_val] :
( ~ ( ord_less_eq_set_val @ SY835 @ SY836 )
| ( ord_less_eq_set_val @ ( SV216 @ SY835 ) @ ( SV216 @ SY836 ) ) )
| ( ord_less_set_val @ SV92 @ ( SV216 @ SV380 ) ) )
= $true )
| ( ( ord_less_set_val @ SV92 @ ( SV216 @ SV317 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1690]) ).
thf(1828,plain,
! [SV217: set_val,SV93: set_val] :
( ( ( ( ord_less_eq_set_val @ SV93 @ SV217 )
| ( SV93 = SV217 ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_val @ SV93 @ SV217 )
| ( SV93 != SV217 ) ) )
= $true )
| ( ( ord_less_set_val @ SV93 @ SV217 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1691]) ).
thf(1829,plain,
! [SV381: set_val,SV222: set_val] :
( ( ( SV222 = SV381 )
= $false )
| ( ( ~ ( ( SV222 != SV381 )
| ~ ~ ( ~ ( ord_less_eq_set_val @ SV381 @ SV222 )
| ~ ( ord_less_eq_set_val @ SV222 @ SV381 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1693]) ).
thf(1830,plain,
! [SV222: set_val,SV381: set_val] :
( ( ( ~ ( ~ ( ord_less_eq_set_val @ SV381 @ SV222 )
| ~ ( ord_less_eq_set_val @ SV222 @ SV381 ) ) )
= $false )
| ( ( ~ ( ( SV222 != SV381 )
| ~ ~ ( ~ ( ord_less_eq_set_val @ SV381 @ SV222 )
| ~ ( ord_less_eq_set_val @ SV222 @ SV381 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1693]) ).
thf(1831,plain,
! [SV321: set_val,SV223: set_val,SV397: set_val,SV382: set_val,SV99: $o] :
( ( ( ~ SV99 ) = $false )
| ( ( ~ ( ~ ~ SV99
| ( ord_less_eq_set_val @ SV382 @ SV397 ) )
| ( ord_less_eq_set_val @ ( if_set_val @ SV99 @ SV223 @ SV382 ) @ ( if_set_val @ SV99 @ SV321 @ SV397 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1694]) ).
thf(1832,plain,
! [SV397: set_val,SV382: set_val,SV99: $o,SV321: set_val,SV223: set_val] :
( ( ( ord_less_eq_set_val @ SV223 @ SV321 )
= $false )
| ( ( ~ ( ~ ~ SV99
| ( ord_less_eq_set_val @ SV382 @ SV397 ) )
| ( ord_less_eq_set_val @ ( if_set_val @ SV99 @ SV223 @ SV382 ) @ ( if_set_val @ SV99 @ SV321 @ SV397 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1694]) ).
thf(1833,plain,
! [SV322: set_val,SV224: set_val,SV398: set_val,SV383: set_val] :
( ( ( ~ $true ) = $false )
| ( ( ~ ( ~ ~ $true
| ( ord_less_eq_set_val @ SV383 @ SV398 ) )
| ( ord_less_eq_set_val @ ( if_set_val @ $true @ SV224 @ SV383 ) @ ( if_set_val @ $true @ SV322 @ SV398 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1695]) ).
thf(1834,plain,
! [SV398: set_val,SV383: set_val,SV322: set_val,SV224: set_val] :
( ( ( ord_less_eq_set_val @ SV224 @ SV322 )
= $false )
| ( ( ~ ( ~ ~ $true
| ( ord_less_eq_set_val @ SV383 @ SV398 ) )
| ( ord_less_eq_set_val @ ( if_set_val @ $true @ SV224 @ SV383 ) @ ( if_set_val @ $true @ SV322 @ SV398 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1695]) ).
thf(1835,plain,
! [SV323: set_val,SV225: set_val,SV399: set_val,SV384: set_val] :
( ( ( ~ $false ) = $false )
| ( ( ~ ( ~ ~ $false
| ( ord_less_eq_set_val @ SV384 @ SV399 ) )
| ( ord_less_eq_set_val @ ( if_set_val @ $false @ SV225 @ SV384 ) @ ( if_set_val @ $false @ SV323 @ SV399 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1696]) ).
thf(1836,plain,
! [SV399: set_val,SV384: set_val,SV323: set_val,SV225: set_val] :
( ( ( ord_less_eq_set_val @ SV225 @ SV323 )
= $false )
| ( ( ~ ( ~ ~ $false
| ( ord_less_eq_set_val @ SV384 @ SV399 ) )
| ( ord_less_eq_set_val @ ( if_set_val @ $false @ SV225 @ SV384 ) @ ( if_set_val @ $false @ SV323 @ SV399 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1696]) ).
thf(1837,plain,
! [SV385: set_val,SV226: set_val] :
( ( ( ord_less_eq_set_val @ SV226 @ SV385 )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_val @ SV226 @ SV385 )
| ~ ! [SY1033: val] :
( ~ ( member_val @ SY1033 @ SV226 )
| ( member_val @ SY1033 @ SV385 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1697]) ).
thf(1838,plain,
! [SV385: set_val,SV226: set_val] :
( ( ( ! [SY1033: val] :
( ~ ( member_val @ SY1033 @ SV226 )
| ( member_val @ SY1033 @ SV385 ) ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_val @ SV226 @ SV385 )
| ~ ! [SY1033: val] :
( ~ ( member_val @ SY1033 @ SV226 )
| ( member_val @ SY1033 @ SV385 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1697]) ).
thf(1839,plain,
! [SV101: set_val,SV227: set_val > set_val,SV386: set_val,SV325: set_val] :
( ( ( ord_less_eq_set_val @ SV325 @ SV386 )
= $false )
| ( ( ~ ! [SY854: set_val,SY855: set_val] :
( ~ ( ord_less_eq_set_val @ SY854 @ SY855 )
| ( ord_less_eq_set_val @ ( SV227 @ SY854 ) @ ( SV227 @ SY855 ) ) )
| ( ord_less_eq_set_val @ SV101 @ ( SV227 @ SV386 ) ) )
= $true )
| ( ( ord_less_eq_set_val @ SV101 @ ( SV227 @ SV325 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1698]) ).
thf(1840,plain,
! [SV232: set_val > set_val] :
( ( ( ~ ( order_1719375026et_val @ SV232 ) )
= $false )
| ( ( order_1719375026et_val @ SV232 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1699]) ).
thf(1841,plain,
! [SV232: set_val > set_val] :
( ( ( ~ ! [SY856: set_val,SY857: set_val] :
( ~ ( ord_less_eq_set_val @ SY856 @ SY857 )
| ( ord_less_eq_set_val @ ( SV232 @ SY857 ) @ ( SV232 @ SY856 ) ) ) )
= $false )
| ( ( order_1719375026et_val @ SV232 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1699]) ).
thf(1842,plain,
! [SV232: set_val > set_val] :
( ( ( ~ ( ord_less_eq_set_val @ ( sK12_SY856 @ SV232 ) @ ( sK13_SY1047 @ SV232 ) )
| ( ord_less_eq_set_val @ ( SV232 @ ( sK13_SY1047 @ SV232 ) ) @ ( SV232 @ ( sK12_SY856 @ SV232 ) ) ) )
= $false )
| ( ( ~ ( ~ ( order_1719375026et_val @ SV232 )
| ~ ! [SY856: set_val,SY857: set_val] :
( ~ ( ord_less_eq_set_val @ SY856 @ SY857 )
| ( ord_less_eq_set_val @ ( SV232 @ SY857 ) @ ( SV232 @ SY856 ) ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1700]) ).
thf(1843,plain,
! [SV108: val,SV234: set_val > val,SV387: set_val,SV326: set_val] :
( ( ( ord_less_eq_set_val @ SV326 @ SV387 )
= $false )
| ( ( ~ ! [SY860: set_val,SY861: set_val] :
( ~ ( ord_less_eq_set_val @ SY860 @ SY861 )
| ( ord_less_eq_val @ ( SV234 @ SY860 ) @ ( SV234 @ SY861 ) ) )
| ( ord_less_eq_val @ SV108 @ ( SV234 @ SV387 ) ) )
= $true )
| ( ( SV108
= ( SV234 @ SV326 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1701]) ).
thf(1844,plain,
! [SV109: set_val,SV388: val,SV235: set_val,SV327: set_val > val] :
( ( ( ord_less_eq_val @ ( SV327 @ SV235 ) @ SV388 )
= $false )
| ( ( ~ ! [SY976: set_val,SY977: set_val] :
( ~ ( ord_less_eq_set_val @ SY976 @ SY977 )
| ( ord_less_eq_val @ ( SV327 @ SY976 ) @ ( SV327 @ SY977 ) ) )
| ( ord_less_eq_val @ ( SV327 @ SV109 ) @ SV388 ) )
= $true )
| ( ( ord_less_eq_set_val @ SV109 @ SV235 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1702]) ).
thf(1845,plain,
! [SV110: set_set_val,SV389: set_val,SV236: set_set_val,SV328: set_set_val > set_val] :
( ( ( ( SV328 @ SV236 )
= SV389 )
= $false )
| ( ( ~ ! [SY979: set_set_val,SY980: set_set_val] :
( ~ ( ord_le1742111550et_val @ SY979 @ SY980 )
| ( ord_less_eq_set_val @ ( SV328 @ SY979 ) @ ( SV328 @ SY980 ) ) )
| ( ord_less_eq_set_val @ ( SV328 @ SV110 ) @ SV389 ) )
= $true )
| ( ( ord_le1742111550et_val @ SV110 @ SV236 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1703]) ).
thf(1846,plain,
! [SV238: set_val,SV330: set_val,SV390: set_val,SV112: $o] :
( ( SV112 = $true )
| ( ( ~ ( ~ ~ SV112
| ( ord_less_eq_set_val @ SV390 @ SV330 ) )
| ( ord_less_eq_set_val @ ( if_set_val @ SV112 @ SV238 @ SV390 ) @ SV330 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1705]) ).
thf(1847,plain,
! [SV238: set_val,SV330: set_val,SV390: set_val,SV112: $o] :
( ( ( ~ ( ~ ~ SV112
| ( ord_less_eq_set_val @ SV390 @ SV330 ) ) )
= $true )
| ( ( ord_less_eq_set_val @ ( if_set_val @ SV112 @ SV238 @ SV390 ) @ SV330 )
= $true )
| ( ( ord_less_eq_set_val @ SV238 @ SV330 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1706]) ).
thf(1848,plain,
! [SV239: set_val,SV331: set_val,SV391: set_val] :
( ( $true = $true )
| ( ( ~ ( ~ ~ $true
| ( ord_less_eq_set_val @ SV391 @ SV331 ) )
| ( ord_less_eq_set_val @ ( if_set_val @ $true @ SV239 @ SV391 ) @ SV331 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1707]) ).
thf(1849,plain,
! [SV239: set_val,SV331: set_val,SV391: set_val] :
( ( ( ~ ( ~ ~ $true
| ( ord_less_eq_set_val @ SV391 @ SV331 ) ) )
= $true )
| ( ( ord_less_eq_set_val @ ( if_set_val @ $true @ SV239 @ SV391 ) @ SV331 )
= $true )
| ( ( ord_less_eq_set_val @ SV239 @ SV331 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1708]) ).
thf(1850,plain,
! [SV240: set_val,SV332: set_val,SV392: set_val] :
( ( $false = $true )
| ( ( ~ ( ~ ~ $false
| ( ord_less_eq_set_val @ SV392 @ SV332 ) )
| ( ord_less_eq_set_val @ ( if_set_val @ $false @ SV240 @ SV392 ) @ SV332 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1709]) ).
thf(1851,plain,
! [SV240: set_val,SV332: set_val,SV392: set_val] :
( ( ( ~ ( ~ ~ $false
| ( ord_less_eq_set_val @ SV392 @ SV332 ) ) )
= $true )
| ( ( ord_less_eq_set_val @ ( if_set_val @ $false @ SV240 @ SV392 ) @ SV332 )
= $true )
| ( ( ord_less_eq_set_val @ SV240 @ SV332 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1710]) ).
thf(1852,plain,
! [SV113: set_val,SV241: set_val > set_val,SV393: set_val,SV333: set_val] :
( ( ( ord_less_eq_set_val @ SV333 @ SV393 )
= $false )
| ( ( ~ ! [SY879: set_val,SY880: set_val] :
( ~ ( ord_less_eq_set_val @ SY879 @ SY880 )
| ( ord_less_eq_set_val @ ( SV241 @ SY879 ) @ ( SV241 @ SY880 ) ) )
| ( ord_less_eq_set_val @ SV113 @ ( SV241 @ SV393 ) ) )
= $true )
| ( ( SV113
= ( SV241 @ SV333 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1711]) ).
thf(1853,plain,
! [SV243: set_val,SV334: set_val > $o,SV115: set_val > $o] :
( ( ( ~ ( SV115 @ ( sK14_SY882 @ SV334 @ SV243 @ SV115 ) )
| ( ord_less_eq_set_val @ ( sK14_SY882 @ SV334 @ SV243 @ SV115 ) @ SV243 ) )
= $false )
| ( ( ~ ! [SY988: set_val] :
( ~ ( SV115 @ SY988 )
| ~ ! [SY677: set_val] :
( ~ ( SV115 @ SY677 )
| ( ord_less_eq_set_val @ SY677 @ SY988 ) )
| ( SV334 @ SY988 ) )
| ( SV334 @ ( order_1960465943et_val @ SV115 ) ) )
= $true )
| ( ( SV115 @ SV243 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1712]) ).
thf(1854,plain,
! [SV394: set_val,SV244: set_val] :
( ( ( ord_less_set_val @ SV244 @ SV394 )
= $false )
| ( ( ~ ( ~ ( ord_less_set_val @ SV244 @ SV394 )
| ~ ~ ( ~ ( ord_less_eq_set_val @ SV244 @ SV394 )
| ~ ( ( SV394 != SV244 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1713]) ).
thf(1855,plain,
! [SV394: set_val,SV244: set_val] :
( ( ( ~ ( ~ ( ord_less_eq_set_val @ SV244 @ SV394 )
| ~ ( ( SV394 != SV244 ) ) ) )
= $false )
| ( ( ~ ( ~ ( ord_less_set_val @ SV244 @ SV394 )
| ~ ~ ( ~ ( ord_less_eq_set_val @ SV244 @ SV394 )
| ~ ( ( SV394 != SV244 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1713]) ).
thf(1856,plain,
! [SV336: set_val,SV245: set_val,SV117: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ ( sup_sup_set_val @ SV117 @ SV245 ) @ SV336 )
| ~ ~ ( ~ ( ord_less_eq_set_val @ SV117 @ SV336 )
| ~ ( ord_less_eq_set_val @ SV245 @ SV336 ) ) )
= $false )
| ( ( ord_less_eq_set_val @ ( sup_sup_set_val @ SV117 @ SV245 ) @ SV336 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1714]) ).
thf(1857,plain,
! [SV245: set_val,SV336: set_val,SV117: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV117 @ SV336 )
| ~ ( ord_less_eq_set_val @ SV245 @ SV336 ) )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_set_val @ ( sup_sup_set_val @ SV117 @ SV245 ) @ SV336 )
| ~ ~ ( ~ ( ord_less_eq_set_val @ SV117 @ SV336 )
| ~ ( ord_less_eq_set_val @ SV245 @ SV336 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1715]) ).
thf(1858,plain,
! [SV118: set_val > set_val,SV246: set_val > set_val] :
( ( ( ~ ( ( ord_less_eq_set_val @ ( sK4_SY887 @ SV246 @ SV118 ) @ ( SV118 @ ( sK8_SY1045 @ SV118 @ SV246 ) ) )
| ( ord_less_eq_set_val @ ( SV246 @ ( sK4_SY887 @ SV246 @ SV118 ) ) @ ( sK8_SY1045 @ SV118 @ SV246 ) ) ) )
= $false )
| ( ( refine1929691018et_val @ SV246 @ SV118 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1716]) ).
thf(1859,plain,
! [SV118: set_val > set_val,SV246: set_val > set_val] :
( ( ( ~ ( ~ ( ord_less_eq_set_val @ ( sK4_SY887 @ SV246 @ SV118 ) @ ( SV118 @ ( sK8_SY1045 @ SV118 @ SV246 ) ) )
| ~ ( ord_less_eq_set_val @ ( SV246 @ ( sK4_SY887 @ SV246 @ SV118 ) ) @ ( sK8_SY1045 @ SV118 @ SV246 ) ) ) )
= $false )
| ( ( refine1929691018et_val @ SV246 @ SV118 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1716]) ).
thf(1860,plain,
! [SV125: set_val > set_val,SV395: set_val,SV253: set_val > set_val,SV340: set_val] :
( ( ( ~ ( ( ord_less_eq_set_val @ SV340 @ ( SV253 @ SV395 ) )
| ( ord_less_eq_set_val @ ( SV125 @ SV340 ) @ SV395 ) ) )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_set_val @ SV340 @ ( SV253 @ SV395 ) )
| ~ ( ord_less_eq_set_val @ ( SV125 @ SV340 ) @ SV395 ) ) )
= $true )
| ( ( refine1929691018et_val @ SV125 @ SV253 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1720]) ).
thf(1861,plain,
! [SV342: $o > set_val,SV130: $o > set_val] :
( ( ( ~ ( ord_le994826475et_val @ SV130 @ SV342 )
| ~ ! [SY991: $o] : ( ord_less_eq_set_val @ ( SV130 @ SY991 ) @ ( SV342 @ SY991 ) ) )
= $false )
| ( ( ord_le994826475et_val @ SV130 @ SV342 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1724]) ).
thf(1862,plain,
! [SV342: $o > set_val,SV130: $o > set_val] :
( ( ( ord_less_eq_set_val @ ( SV130 @ ( sK15_SY991 @ SV342 @ SV130 ) ) @ ( SV342 @ ( sK15_SY991 @ SV342 @ SV130 ) ) )
= $false )
| ( ( ~ ( ~ ( ord_le994826475et_val @ SV130 @ SV342 )
| ~ ! [SY991: $o] : ( ord_less_eq_set_val @ ( SV130 @ SY991 ) @ ( SV342 @ SY991 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1725]) ).
thf(1863,plain,
! [SV343: set_val > set_val,SV131: set_val > set_val] :
( ( ( ~ ( refine1929691018et_val @ SV131 @ SV343 )
| ~ ! [SY992: set_val,SY993: set_val] :
( ( ord_less_eq_set_val @ SY992 @ ( SV343 @ SY993 ) )
= ( ord_less_eq_set_val @ ( SV131 @ SY992 ) @ SY993 ) ) )
= $false )
| ( ( refine1929691018et_val @ SV131 @ SV343 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1726]) ).
thf(1864,plain,
! [SV343: set_val > set_val,SV131: set_val > set_val] :
( ( ( ! [SY1048: set_val] :
( ( ord_less_eq_set_val @ ( sK16_SY992 @ SV131 @ SV343 ) @ ( SV343 @ SY1048 ) )
= ( ord_less_eq_set_val @ ( SV131 @ ( sK16_SY992 @ SV131 @ SV343 ) ) @ SY1048 ) ) )
= $false )
| ( ( ~ ( ~ ( refine1929691018et_val @ SV131 @ SV343 )
| ~ ! [SY992: set_val,SY993: set_val] :
( ( ord_less_eq_set_val @ SY992 @ ( SV343 @ SY993 ) )
= ( ord_less_eq_set_val @ ( SV131 @ SY992 ) @ SY993 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1727]) ).
thf(1865,plain,
! [SV132: set_val,SV6: set_val] :
( ( ( ord_less_eq_set_val @ ( uminus1961393973et_val @ SV6 ) @ ( uminus1961393973et_val @ SV132 ) )
= $true )
| ( ( ord_less_eq_set_val @ ( uminus1961393973et_val @ SV6 ) @ ( uminus1961393973et_val @ SV132 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1728]) ).
thf(1866,plain,
! [SV6: set_val,SV132: set_val] :
( ( ( ord_less_eq_set_val @ SV132 @ SV6 )
= $true )
| ( ( ord_less_eq_set_val @ ( uminus1961393973et_val @ SV6 ) @ ( uminus1961393973et_val @ SV132 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1729]) ).
thf(1867,plain,
! [SV132: set_val,SV6: set_val] :
( ( ( ord_less_eq_set_val @ ( uminus1961393973et_val @ SV6 ) @ ( uminus1961393973et_val @ SV132 ) )
= $true )
| ( ( ord_less_eq_set_val @ SV132 @ SV6 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1730]) ).
thf(1868,plain,
! [SV6: set_val,SV132: set_val] :
( ( ( ord_less_eq_set_val @ SV132 @ SV6 )
= $true )
| ( ( ord_less_eq_set_val @ SV132 @ SV6 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1731]) ).
thf(1869,plain,
! [SV344: set_val,SV133: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV133 @ SV344 )
| ~ ( ( ord_less_set_val @ SV133 @ SV344 )
| ( SV133 = SV344 ) ) )
= $false )
| ( ( ord_less_eq_set_val @ SV133 @ SV344 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1732]) ).
thf(1870,plain,
! [SV344: set_val,SV133: set_val] :
( ( ( ord_less_set_val @ SV133 @ SV344 )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_val @ SV133 @ SV344 )
| ~ ( ( ord_less_set_val @ SV133 @ SV344 )
| ( SV133 = SV344 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1733]) ).
thf(1871,plain,
! [SV344: set_val,SV133: set_val] :
( ( ( SV133 = SV344 )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_val @ SV133 @ SV344 )
| ~ ( ( ord_less_set_val @ SV133 @ SV344 )
| ( SV133 = SV344 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1733]) ).
thf(1872,plain,
! [SV345: set_val,SV134: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV134 @ SV345 )
| ~ ( ( ord_less_set_val @ SV134 @ SV345 )
| ( SV134 = SV345 ) ) )
= $false )
| ( ( ord_less_eq_set_val @ SV134 @ SV345 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1734]) ).
thf(1873,plain,
! [SV345: set_val,SV134: set_val] :
( ( ( ord_less_set_val @ SV134 @ SV345 )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_val @ SV134 @ SV345 )
| ~ ( ( ord_less_set_val @ SV134 @ SV345 )
| ( SV134 = SV345 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1735]) ).
thf(1874,plain,
! [SV345: set_val,SV134: set_val] :
( ( ( SV134 = SV345 )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_val @ SV134 @ SV345 )
| ~ ( ( ord_less_set_val @ SV134 @ SV345 )
| ( SV134 = SV345 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1735]) ).
thf(1875,plain,
! [SV346: set_val,SV135: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV135 @ SV346 )
| ~ ( ( ord_less_set_val @ SV135 @ SV346 )
| ( SV346 = SV135 ) ) )
= $false )
| ( ( ord_less_eq_set_val @ SV135 @ SV346 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1736]) ).
thf(1876,plain,
! [SV346: set_val,SV135: set_val] :
( ( ( ord_less_set_val @ SV135 @ SV346 )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_val @ SV135 @ SV346 )
| ~ ( ( ord_less_set_val @ SV135 @ SV346 )
| ( SV346 = SV135 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1737]) ).
thf(1877,plain,
! [SV135: set_val,SV346: set_val] :
( ( ( SV346 = SV135 )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_val @ SV135 @ SV346 )
| ~ ( ( ord_less_set_val @ SV135 @ SV346 )
| ( SV346 = SV135 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1737]) ).
thf(1878,plain,
! [SV347: set_val,SV136: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV136 @ SV347 )
| ~ ( ( ord_less_set_val @ SV136 @ SV347 )
| ( SV136 = SV347 ) ) )
= $false )
| ( ( ord_less_eq_set_val @ SV136 @ SV347 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1738]) ).
thf(1879,plain,
! [SV347: set_val,SV136: set_val] :
( ( ( ord_less_set_val @ SV136 @ SV347 )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_val @ SV136 @ SV347 )
| ~ ( ( ord_less_set_val @ SV136 @ SV347 )
| ( SV136 = SV347 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1739]) ).
thf(1880,plain,
! [SV347: set_val,SV136: set_val] :
( ( ( SV136 = SV347 )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_val @ SV136 @ SV347 )
| ~ ( ( ord_less_set_val @ SV136 @ SV347 )
| ( SV136 = SV347 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1739]) ).
thf(1881,plain,
! [SV137: set_val,SV11: set_val] :
( ( ( ord_less_eq_set_val @ ( uminus1961393973et_val @ SV11 ) @ ( uminus1961393973et_val @ SV137 ) )
= $true )
| ( ( ord_less_eq_set_val @ ( uminus1961393973et_val @ SV11 ) @ ( uminus1961393973et_val @ SV137 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1740]) ).
thf(1882,plain,
! [SV11: set_val,SV137: set_val] :
( ( ( ord_less_eq_set_val @ SV137 @ SV11 )
= $true )
| ( ( ord_less_eq_set_val @ ( uminus1961393973et_val @ SV11 ) @ ( uminus1961393973et_val @ SV137 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1741]) ).
thf(1883,plain,
! [SV137: set_val,SV11: set_val] :
( ( ( ord_less_eq_set_val @ ( uminus1961393973et_val @ SV11 ) @ ( uminus1961393973et_val @ SV137 ) )
= $true )
| ( ( ord_less_eq_set_val @ SV137 @ SV11 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1742]) ).
thf(1884,plain,
! [SV11: set_val,SV137: set_val] :
( ( ( ord_less_eq_set_val @ SV137 @ SV11 )
= $true )
| ( ( ord_less_eq_set_val @ SV137 @ SV11 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1743]) ).
thf(1885,plain,
! [SV348: set_val,SV138: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV138 @ SV348 )
| ( ( sup_sup_set_val @ SV138 @ SV348 )
!= SV348 ) )
= $false )
| ( ( ord_less_eq_set_val @ SV138 @ SV348 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1744]) ).
thf(1886,plain,
! [SV348: set_val,SV138: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV138 @ SV348 )
| ( ( sup_sup_set_val @ SV138 @ SV348 )
!= SV348 ) )
= $false )
| ( ( ( sup_sup_set_val @ SV138 @ SV348 )
= SV348 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1745]) ).
thf(1887,plain,
! [SV349: set_val,SV139: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV139 @ SV349 )
| ( ( sup_sup_set_val @ SV349 @ SV139 )
!= SV349 ) )
= $false )
| ( ( ord_less_eq_set_val @ SV139 @ SV349 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1746]) ).
thf(1888,plain,
! [SV349: set_val,SV139: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV139 @ SV349 )
| ( ( sup_sup_set_val @ SV349 @ SV139 )
!= SV349 ) )
= $false )
| ( ( ( sup_sup_set_val @ SV349 @ SV139 )
= SV349 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1747]) ).
thf(1889,plain,
! [SV350: set_val,SV142: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV142 @ SV350 )
| ( SV350
!= ( sup_sup_set_val @ SV350 @ SV142 ) ) )
= $false )
| ( ( ord_less_eq_set_val @ SV142 @ SV350 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1748]) ).
thf(1890,plain,
! [SV350: set_val,SV142: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV142 @ SV350 )
| ( SV350
!= ( sup_sup_set_val @ SV350 @ SV142 ) ) )
= $false )
| ( ( SV350
= ( sup_sup_set_val @ SV350 @ SV142 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1749]) ).
thf(1891,plain,
! [SV17: $o] :
( ( SV17 = $true )
| ( SV17 = $false )
| ( ( SV17 = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1750]) ).
thf(1892,plain,
! [SV17: $o] :
( ( $true = $true )
| ( SV17 = $false )
| ( ( SV17 = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1751]) ).
thf(1893,plain,
! [SV17: $o] :
( ( SV17 = $true )
| ( $true = $false )
| ( ( SV17 = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1752]) ).
thf(1894,plain,
! [SV17: $o] :
( ( $true = $true )
| ( $true = $false )
| ( ( SV17 = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1753]) ).
thf(1895,plain,
! [SV17: $o] :
( ( ( ~ SV17 ) = $false )
| ( SV17 = $false )
| ( ( SV17 = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1754]) ).
thf(1896,plain,
! [SV17: $o] :
( ( ( ~ $false ) = $false )
| ( SV17 = $false )
| ( ( SV17 = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1754]) ).
thf(1897,plain,
! [SV17: $o] :
( ( ( ~ SV17 ) = $false )
| ( $false = $false )
| ( ( SV17 = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1755]) ).
thf(1898,plain,
! [SV17: $o] :
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( ( SV17 = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1755]) ).
thf(1899,plain,
( ( $true = $true )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1756]) ).
thf(1900,plain,
( ( $true = $true )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1757]) ).
thf(1901,plain,
( ( $true = $true )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1758]) ).
thf(1902,plain,
( ( $true = $true )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1759]) ).
thf(1903,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1760]) ).
thf(1904,plain,
( ( ( ~ $false ) = $false )
| ( $true = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1760]) ).
thf(1905,plain,
( ( ( ~ $true ) = $false )
| ( $false = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1761]) ).
thf(1906,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1761]) ).
thf(1907,plain,
( ( $false = $true )
| ( $false = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1762]) ).
thf(1908,plain,
( ( $true = $true )
| ( $false = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1763]) ).
thf(1909,plain,
( ( $false = $true )
| ( $true = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1764]) ).
thf(1910,plain,
( ( $true = $true )
| ( $true = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1765]) ).
thf(1911,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1766]) ).
thf(1912,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1766]) ).
thf(1913,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1767]) ).
thf(1914,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1767]) ).
thf(1915,plain,
! [SV266: set_val,SV144: set_val,SV19: set_val > set_val > set_val] :
( ( ( ! [SY439: set_val,SY440: set_val] : ( ord_less_eq_set_val @ SY440 @ ( SV19 @ SY439 @ SY440 ) ) )
= $false )
| ( ( ~ ! [SY441: set_val,SY442: set_val,SY443: set_val] :
( ~ ( ord_less_eq_set_val @ SY442 @ SY441 )
| ~ ( ord_less_eq_set_val @ SY443 @ SY441 )
| ( ord_less_eq_set_val @ ( SV19 @ SY442 @ SY443 ) @ SY441 ) )
| ( ( sup_sup_set_val @ SV144 @ SV266 )
= ( SV19 @ SV144 @ SV266 ) ) )
= $true )
| ( ( ord_less_eq_set_val @ ( sK7_SY437 @ SV266 @ SV144 @ SV19 ) @ ( SV19 @ ( sK7_SY437 @ SV266 @ SV144 @ SV19 ) @ ( sK9_SY1046 @ SV19 @ SV144 @ SV266 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1768]) ).
thf(1916,plain,
! [SV268: val,SV351: val,SV22: set_val,SV147: val > set_val] :
( ( ( ~ ! [SY726: val,SY727: val] :
( ~ ( ord_less_eq_val @ SY726 @ SY727 )
| ( ord_less_eq_set_val @ ( SV147 @ SY726 ) @ ( SV147 @ SY727 ) ) ) )
= $true )
| ( ( ord_less_eq_set_val @ SV22 @ ( SV147 @ SV351 ) )
= $true )
| ( ( ord_less_eq_val @ SV268 @ SV351 )
= $false )
| ( ( ord_less_eq_set_val @ SV22 @ ( SV147 @ SV268 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1769]) ).
thf(1917,plain,
! [SV148: set_val,SV352: set_set_val,SV24: set_val,SV269: set_val > set_set_val] :
( ( ( ~ ! [SY910: set_val,SY911: set_val] :
( ~ ( ord_less_eq_set_val @ SY910 @ SY911 )
| ( ord_le1742111550et_val @ ( SV269 @ SY910 ) @ ( SV269 @ SY911 ) ) ) )
= $true )
| ( ( ord_le1742111550et_val @ ( SV269 @ SV24 ) @ SV352 )
= $true )
| ( ( ord_le1742111550et_val @ ( SV269 @ SV148 ) @ SV352 )
= $false )
| ( ( ord_less_eq_set_val @ SV24 @ SV148 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1770]) ).
thf(1918,plain,
! [SV353: set_val,SV149: set_val] :
( ( ( ~ ( ord_less_set_val @ SV149 @ SV353 )
| ~ ~ ( ~ ( ord_less_eq_set_val @ SV149 @ SV353 )
| ~ ( ( SV149 != SV353 ) ) ) )
= $false )
| ( ( ord_less_set_val @ SV149 @ SV353 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1771]) ).
thf(1919,plain,
! [SV353: set_val,SV149: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV149 @ SV353 )
| ~ ( ( SV149 != SV353 ) ) )
= $true )
| ( ( ~ ( ~ ( ord_less_set_val @ SV149 @ SV353 )
| ~ ~ ( ~ ( ord_less_eq_set_val @ SV149 @ SV353 )
| ~ ( ( SV149 != SV353 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1772]) ).
thf(1920,plain,
! [SV354: set_val,SV150: set_val] :
( ( ( ( SV150 != SV354 )
| ~ ~ ( ~ ( ord_less_eq_set_val @ SV150 @ SV354 )
| ~ ( ord_less_eq_set_val @ SV354 @ SV150 ) ) )
= $false )
| ( ( SV150 = SV354 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1773]) ).
thf(1921,plain,
! [SV354: set_val,SV150: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV150 @ SV354 )
| ~ ( ord_less_eq_set_val @ SV354 @ SV150 ) )
= $true )
| ( ( ~ ( ( SV150 != SV354 )
| ~ ~ ( ~ ( ord_less_eq_set_val @ SV150 @ SV354 )
| ~ ( ord_less_eq_set_val @ SV354 @ SV150 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1774]) ).
thf(1922,plain,
! [SV272: set_val,SV355: set_val,SV27: set_set_val,SV151: set_val > set_set_val] :
( ( ( ~ ! [SY737: set_val,SY738: set_val] :
( ~ ( ord_less_eq_set_val @ SY737 @ SY738 )
| ( ord_le1742111550et_val @ ( SV151 @ SY737 ) @ ( SV151 @ SY738 ) ) ) )
= $true )
| ( ( ord_le1742111550et_val @ SV27 @ ( SV151 @ SV355 ) )
= $true )
| ( ( ord_less_eq_set_val @ SV272 @ SV355 )
= $false )
| ( ( ord_le1742111550et_val @ SV27 @ ( SV151 @ SV272 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1775]) ).
thf(1923,plain,
! [SV356: set_val,SV152: set_val] :
( ( ( ~ ( ord_less_set_val @ SV152 @ SV356 )
| ~ ~ ( ~ ( ord_less_eq_set_val @ SV152 @ SV356 )
| ~ ~ ( ord_less_eq_set_val @ SV356 @ SV152 ) ) )
= $false )
| ( ( ord_less_set_val @ SV152 @ SV356 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1776]) ).
thf(1924,plain,
! [SV356: set_val,SV152: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV152 @ SV356 )
| ~ ~ ( ord_less_eq_set_val @ SV356 @ SV152 ) )
= $true )
| ( ( ~ ( ~ ( ord_less_set_val @ SV152 @ SV356 )
| ~ ~ ( ~ ( ord_less_eq_set_val @ SV152 @ SV356 )
| ~ ~ ( ord_less_eq_set_val @ SV356 @ SV152 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1777]) ).
thf(1925,plain,
! [SV357: set_val,SV153: set_val] :
( ( ( ~ ( ord_less_set_val @ SV153 @ SV357 )
| ~ ~ ( ~ ( ord_less_eq_set_val @ SV153 @ SV357 )
| ~ ( ( SV153 != SV357 ) ) ) )
= $false )
| ( ( ord_less_set_val @ SV153 @ SV357 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1778]) ).
thf(1926,plain,
! [SV357: set_val,SV153: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV153 @ SV357 )
| ~ ( ( SV153 != SV357 ) ) )
= $true )
| ( ( ~ ( ~ ( ord_less_set_val @ SV153 @ SV357 )
| ~ ~ ( ~ ( ord_less_eq_set_val @ SV153 @ SV357 )
| ~ ( ( SV153 != SV357 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1779]) ).
thf(1927,plain,
! [SV275: set_val,SV156: set_val,SV32: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ ( sup_sup_set_val @ SV32 @ SV156 ) @ SV275 ) )
= $false )
| ( ( ord_less_eq_set_val @ ( sup_sup_set_val @ SV32 @ SV156 ) @ SV275 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1780]) ).
thf(1928,plain,
! [SV156: set_val,SV275: set_val,SV32: set_val] :
( ( ( ~ ~ ( ~ ( ord_less_eq_set_val @ SV32 @ SV275 )
| ~ ( ord_less_eq_set_val @ SV156 @ SV275 ) ) )
= $false )
| ( ( ord_less_eq_set_val @ ( sup_sup_set_val @ SV32 @ SV156 ) @ SV275 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1780]) ).
thf(1929,plain,
! [SV156: set_val,SV275: set_val,SV32: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV32 @ SV275 ) )
= $true )
| ( ( ~ ( ord_less_eq_set_val @ SV156 @ SV275 ) )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_set_val @ ( sup_sup_set_val @ SV32 @ SV156 ) @ SV275 )
| ~ ~ ( ~ ( ord_less_eq_set_val @ SV32 @ SV275 )
| ~ ( ord_less_eq_set_val @ SV156 @ SV275 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1781]) ).
thf(1930,plain,
! [SV276: set_val,SV358: set_val,SV33: val,SV157: set_val > val] :
( ( ( ~ ! [SY744: set_val,SY745: set_val] :
( ~ ( ord_less_eq_set_val @ SY744 @ SY745 )
| ( ord_less_eq_val @ ( SV157 @ SY744 ) @ ( SV157 @ SY745 ) ) ) )
= $true )
| ( ( ord_less_eq_val @ SV33 @ ( SV157 @ SV358 ) )
= $true )
| ( ( ord_less_eq_set_val @ SV276 @ SV358 )
= $false )
| ( ( ord_less_eq_val @ SV33 @ ( SV157 @ SV276 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1782]) ).
thf(1931,plain,
! [SV277: set_val,SV159: set_val,SV35: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ ( sup_sup_set_val @ SV35 @ SV159 ) @ SV277 ) )
= $false )
| ( ( ord_less_eq_set_val @ ( sup_sup_set_val @ SV35 @ SV159 ) @ SV277 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1783]) ).
thf(1932,plain,
! [SV159: set_val,SV277: set_val,SV35: set_val] :
( ( ( ~ ~ ( ~ ( ord_less_eq_set_val @ SV35 @ SV277 )
| ~ ( ord_less_eq_set_val @ SV159 @ SV277 ) ) )
= $false )
| ( ( ord_less_eq_set_val @ ( sup_sup_set_val @ SV35 @ SV159 ) @ SV277 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1783]) ).
thf(1933,plain,
! [SV159: set_val,SV277: set_val,SV35: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV35 @ SV277 ) )
= $true )
| ( ( ~ ( ord_less_eq_set_val @ SV159 @ SV277 ) )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_set_val @ ( sup_sup_set_val @ SV35 @ SV159 ) @ SV277 )
| ~ ~ ( ~ ( ord_less_eq_set_val @ SV35 @ SV277 )
| ~ ( ord_less_eq_set_val @ SV159 @ SV277 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1784]) ).
thf(1934,plain,
! [SV160: set_val,SV359: set_set_val,SV36: set_val,SV278: set_val > set_set_val] :
( ( ( ~ ! [SY919: set_val,SY920: set_val] :
( ~ ( ord_less_eq_set_val @ SY919 @ SY920 )
| ( ord_le1742111550et_val @ ( SV278 @ SY919 ) @ ( SV278 @ SY920 ) ) ) )
= $true )
| ( ( ord_le1742111550et_val @ ( SV278 @ SV36 ) @ SV359 )
= $true )
| ( ( ( SV278 @ SV160 )
= SV359 )
= $false )
| ( ( ord_less_eq_set_val @ SV36 @ SV160 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1785]) ).
thf(1935,plain,
! [SV162: val,SV360: set_val,SV38: val,SV279: val > set_val] :
( ( ( ~ ! [SY922: val,SY923: val] :
( ~ ( ord_less_eq_val @ SY922 @ SY923 )
| ( ord_less_eq_set_val @ ( SV279 @ SY922 ) @ ( SV279 @ SY923 ) ) ) )
= $true )
| ( ( ord_less_eq_set_val @ ( SV279 @ SV38 ) @ SV360 )
= $true )
| ( ( ( SV279 @ SV162 )
= SV360 )
= $false )
| ( ( ord_less_eq_val @ SV38 @ SV162 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1786]) ).
thf(1936,plain,
! [SV166: set_val,SV361: set_val,SV42: set_val,SV282: set_val > set_val] :
( ( ( ~ ! [SY925: set_val,SY926: set_val] :
( ~ ( ord_less_eq_set_val @ SY925 @ SY926 )
| ( ord_less_eq_set_val @ ( SV282 @ SY925 ) @ ( SV282 @ SY926 ) ) ) )
= $true )
| ( ( ord_less_eq_set_val @ ( SV282 @ SV42 ) @ SV361 )
= $true )
| ( ( ord_less_eq_set_val @ ( SV282 @ SV166 ) @ SV361 )
= $false )
| ( ( ord_less_eq_set_val @ SV42 @ SV166 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1787]) ).
thf(1937,plain,
! [SV362: set_val,SV167: set_val] :
( ( ( ( SV167 != SV362 )
| ~ ~ ( ~ ( ord_less_eq_set_val @ SV167 @ SV362 )
| ~ ( ord_less_eq_set_val @ SV362 @ SV167 ) ) )
= $false )
| ( ( SV167 = SV362 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1788]) ).
thf(1938,plain,
! [SV362: set_val,SV167: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV167 @ SV362 )
| ~ ( ord_less_eq_set_val @ SV362 @ SV167 ) )
= $true )
| ( ( ~ ( ( SV167 != SV362 )
| ~ ~ ( ~ ( ord_less_eq_set_val @ SV167 @ SV362 )
| ~ ( ord_less_eq_set_val @ SV362 @ SV167 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1789]) ).
thf(1939,plain,
! [SV168: val > $o,SV44: val > $o] :
( ( ( ord_less_eq_set_val @ ( collect_val @ SV44 ) @ ( collect_val @ SV168 ) )
= $true )
| ( ( ord_less_eq_set_val @ ( collect_val @ SV44 ) @ ( collect_val @ SV168 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1790]) ).
thf(1940,plain,
! [SV168: val > $o,SV44: val > $o] :
( ( ( ! [SY763: val] :
( ~ ( SV44 @ SY763 )
| ( SV168 @ SY763 ) ) )
= $true )
| ( ( ord_less_eq_set_val @ ( collect_val @ SV44 ) @ ( collect_val @ SV168 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1791]) ).
thf(1941,plain,
! [SV168: val > $o,SV44: val > $o] :
( ( ( SV44 @ ( sK10_SY763 @ SV168 @ SV44 ) )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_set_val @ ( collect_val @ SV44 ) @ ( collect_val @ SV168 ) )
| ~ ! [SY763: val] :
( ~ ( SV44 @ SY763 )
| ( SV168 @ SY763 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1792]) ).
thf(1942,plain,
! [SV168: val > $o,SV44: val > $o] :
( ( ( ~ ( ord_less_eq_set_val @ ( collect_val @ SV44 ) @ ( collect_val @ SV168 ) )
| ~ ! [SY763: val] :
( ~ ( SV44 @ SY763 )
| ( SV168 @ SY763 ) ) )
= $false )
| ( ( SV168 @ ( sK10_SY763 @ SV168 @ SV44 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1793]) ).
thf(1943,plain,
! [SV284: set_val,SV363: set_val,SV45: set_set_val,SV169: set_val > set_set_val] :
( ( ( ~ ! [SY766: set_val,SY767: set_val] :
( ~ ( ord_less_eq_set_val @ SY766 @ SY767 )
| ( ord_le1742111550et_val @ ( SV169 @ SY766 ) @ ( SV169 @ SY767 ) ) ) )
= $true )
| ( ( ord_le1742111550et_val @ SV45 @ ( SV169 @ SV363 ) )
= $true )
| ( ( ord_less_eq_set_val @ SV284 @ SV363 )
= $false )
| ( ( SV45
= ( SV169 @ SV284 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1794]) ).
thf(1944,plain,
! [SV170: set_set_val,SV364: set_val,SV46: set_set_val,SV285: set_set_val > set_val] :
( ( ( ~ ! [SY931: set_set_val,SY932: set_set_val] :
( ~ ( ord_le1742111550et_val @ SY931 @ SY932 )
| ( ord_less_eq_set_val @ ( SV285 @ SY931 ) @ ( SV285 @ SY932 ) ) ) )
= $true )
| ( ( ord_less_eq_set_val @ ( SV285 @ SV46 ) @ SV364 )
= $true )
| ( ( ord_less_eq_set_val @ ( SV285 @ SV170 ) @ SV364 )
= $false )
| ( ( ord_le1742111550et_val @ SV46 @ SV170 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1795]) ).
thf(1945,plain,
! [SV172: set_val,SV48: set_val,SV365: set_val,SV286: set_val] :
( ( ( SV286 != SV365 )
= $true )
| ( ( ord_less_eq_set_val @ SV48 @ SV365 )
= $true )
| ( ( ord_less_eq_set_val @ SV172 @ SV286 )
= $false )
| ( ( SV48 = SV172 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1796]) ).
thf(1946,plain,
! [SV287: set_set_val,SV366: set_set_val,SV49: set_val,SV173: set_set_val > set_val] :
( ( ( ~ ! [SY776: set_set_val,SY777: set_set_val] :
( ~ ( ord_le1742111550et_val @ SY776 @ SY777 )
| ( ord_less_eq_set_val @ ( SV173 @ SY776 ) @ ( SV173 @ SY777 ) ) ) )
= $true )
| ( ( ord_less_eq_set_val @ SV49 @ ( SV173 @ SV366 ) )
= $true )
| ( ( ord_le1742111550et_val @ SV287 @ SV366 )
= $false )
| ( ( SV49
= ( SV173 @ SV287 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1797]) ).
thf(1947,plain,
! [SV367: set_val,SV175: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV175 @ SV367 )
| ~ ! [SY1014: val] :
( ~ ( member_val @ SY1014 @ SV175 )
| ( member_val @ SY1014 @ SV367 ) ) )
= $false )
| ( ( ord_less_eq_set_val @ SV175 @ SV367 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1798]) ).
thf(1948,plain,
! [SV175: set_val,SV367: set_val] :
( ( ( ~ ( member_val @ ( sK17_SY1014 @ SV367 @ SV175 ) @ SV175 )
| ( member_val @ ( sK17_SY1014 @ SV367 @ SV175 ) @ SV367 ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_val @ SV175 @ SV367 )
| ~ ! [SY1014: val] :
( ~ ( member_val @ SY1014 @ SV175 )
| ( member_val @ SY1014 @ SV367 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1799]) ).
thf(1949,plain,
! [SV177: val,SV368: set_val,SV53: val,SV290: val > set_val] :
( ( ( ~ ! [SY939: val,SY940: val] :
( ~ ( ord_less_eq_val @ SY939 @ SY940 )
| ( ord_less_eq_set_val @ ( SV290 @ SY939 ) @ ( SV290 @ SY940 ) ) ) )
= $true )
| ( ( ord_less_eq_set_val @ ( SV290 @ SV53 ) @ SV368 )
= $true )
| ( ( ord_less_eq_set_val @ ( SV290 @ SV177 ) @ SV368 )
= $false )
| ( ( ord_less_eq_val @ SV53 @ SV177 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1800]) ).
thf(1950,plain,
! [SV181: set_val,SV57: set_val > $o] :
( ( ( SV57 @ ( sK11_SY788 @ SV181 @ SV57 ) )
= $true )
| ( ( ( order_1960465943et_val @ SV57 )
= SV181 )
= $true )
| ( ( SV57 @ SV181 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1801]) ).
thf(1951,plain,
! [SV182: set_val,SV58: set_val,SV396: $o,SV369: set_val,SV293: set_val] :
( ( ( ord_less_eq_set_val @ SV293 @ SV369 )
= $false )
| ( ( ord_less_eq_set_val @ ( if_set_val @ SV396 @ SV58 @ SV293 ) @ ( if_set_val @ SV396 @ SV182 @ SV369 ) )
= $true )
| ( ( ord_less_eq_set_val @ SV58 @ SV182 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1803]) ).
thf(1952,plain,
! [SV182: set_val,SV58: set_val,SV369: set_val,SV293: set_val] :
( ( ( ord_less_eq_set_val @ SV293 @ SV369 )
= $false )
| ( ( ord_less_eq_set_val @ ( if_set_val @ $true @ SV58 @ SV293 ) @ ( if_set_val @ $true @ SV182 @ SV369 ) )
= $true )
| ( ( ord_less_eq_set_val @ SV58 @ SV182 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1804]) ).
thf(1953,plain,
! [SV182: set_val,SV58: set_val,SV369: set_val,SV293: set_val] :
( ( ( ord_less_eq_set_val @ SV293 @ SV369 )
= $false )
| ( ( ord_less_eq_set_val @ ( if_set_val @ $false @ SV58 @ SV293 ) @ ( if_set_val @ $false @ SV182 @ SV369 ) )
= $true )
| ( ( ord_less_eq_set_val @ SV58 @ SV182 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1805]) ).
thf(1954,plain,
! [SV370: set_val,SV183: set_val] :
( ( ( ( SV183 != SV370 )
| ~ ~ ( ~ ( ord_less_eq_set_val @ SV183 @ SV370 )
| ~ ( ord_less_eq_set_val @ SV370 @ SV183 ) ) )
= $false )
| ( ( SV183 = SV370 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1806]) ).
thf(1955,plain,
! [SV370: set_val,SV183: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV183 @ SV370 )
| ~ ( ord_less_eq_set_val @ SV370 @ SV183 ) )
= $true )
| ( ( ~ ( ( SV183 != SV370 )
| ~ ~ ( ~ ( ord_less_eq_set_val @ SV183 @ SV370 )
| ~ ( ord_less_eq_set_val @ SV370 @ SV183 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1807]) ).
thf(1956,plain,
! [SV184: set_val,SV371: set_val,SV60: set_val,SV295: set_val > set_val] :
( ( ( ~ ! [SY944: set_val,SY945: set_val] :
( ~ ( ord_less_eq_set_val @ SY944 @ SY945 )
| ( ord_less_eq_set_val @ ( SV295 @ SY944 ) @ ( SV295 @ SY945 ) ) ) )
= $true )
| ( ( ord_less_set_val @ ( SV295 @ SV60 ) @ SV371 )
= $true )
| ( ( ord_less_set_val @ ( SV295 @ SV184 ) @ SV371 )
= $false )
| ( ( ord_less_eq_set_val @ SV60 @ SV184 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1808]) ).
thf(1957,plain,
! [SV185: set_val,SV61: set_val] :
( ( ( ord_less_set_val @ SV61 @ SV185 )
= $true )
| ( ( ~ ( ~ ~ ( ord_less_set_val @ SV61 @ SV185 )
| ( SV61 != SV185 ) ) )
= $true )
| ( ( ord_less_eq_set_val @ SV61 @ SV185 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1809]) ).
thf(1958,plain,
! [SV185: set_val,SV61: set_val] :
( ( ( ~ ~ ( ord_less_set_val @ SV61 @ SV185 )
| ( SV61 != SV185 ) )
= $false )
| ( ( SV61 = SV185 )
= $false )
| ( ( ord_less_eq_set_val @ SV61 @ SV185 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1810]) ).
thf(1959,plain,
! [SV188: set_val,SV372: val,SV64: set_val,SV297: set_val > val] :
( ( ( ~ ! [SY947: set_val,SY948: set_val] :
( ~ ( ord_less_eq_set_val @ SY947 @ SY948 )
| ( ord_less_eq_val @ ( SV297 @ SY947 ) @ ( SV297 @ SY948 ) ) ) )
= $true )
| ( ( ord_less_eq_val @ ( SV297 @ SV64 ) @ SV372 )
= $true )
| ( ( ( SV297 @ SV188 )
= SV372 )
= $false )
| ( ( ord_less_eq_set_val @ SV64 @ SV188 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1811]) ).
thf(1960,plain,
! [SV190: set_val,SV373: set_val,SV66: set_val,SV298: set_val > set_val] :
( ( ( ~ ! [SY950: set_val,SY951: set_val] :
( ~ ( ord_less_eq_set_val @ SY950 @ SY951 )
| ( ord_less_eq_set_val @ ( SV298 @ SY950 ) @ ( SV298 @ SY951 ) ) ) )
= $true )
| ( ( ord_less_eq_set_val @ ( SV298 @ SV66 ) @ SV373 )
= $true )
| ( ( ( SV298 @ SV190 )
= SV373 )
= $false )
| ( ( ord_less_eq_set_val @ SV66 @ SV190 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1812]) ).
thf(1961,plain,
! [SV374: $o > set_val,SV194: $o > set_val] :
( ( ( ~ ( ord_le994826475et_val @ SV194 @ SV374 )
| ~ ~ ( ~ ( ord_less_eq_set_val @ ( SV194 @ $false ) @ ( SV374 @ $false ) )
| ~ ( ord_less_eq_set_val @ ( SV194 @ $true ) @ ( SV374 @ $true ) ) ) )
= $false )
| ( ( ord_le994826475et_val @ SV194 @ SV374 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1813]) ).
thf(1962,plain,
! [SV374: $o > set_val,SV194: $o > set_val] :
( ( ( ~ ( ord_less_eq_set_val @ ( SV194 @ $false ) @ ( SV374 @ $false ) )
| ~ ( ord_less_eq_set_val @ ( SV194 @ $true ) @ ( SV374 @ $true ) ) )
= $true )
| ( ( ~ ( ~ ( ord_le994826475et_val @ SV194 @ SV374 )
| ~ ~ ( ~ ( ord_less_eq_set_val @ ( SV194 @ $false ) @ ( SV374 @ $false ) )
| ~ ( ord_less_eq_set_val @ ( SV194 @ $true ) @ ( SV374 @ $true ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1814]) ).
thf(1963,plain,
! [SV75: set_val,SV199: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV199 @ SV75 )
| ( SV199 != SV75 ) )
= $false )
| ( ( ord_less_eq_set_val @ SV199 @ SV75 )
= $false )
| ( ( ord_less_eq_set_val @ SV75 @ SV199 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1815]) ).
thf(1964,plain,
! [SV75: set_val,SV199: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV199 @ SV75 )
| ( SV199 != SV75 ) )
= $false )
| ( ( SV199 = SV75 )
= $false )
| ( ( ord_less_eq_set_val @ SV75 @ SV199 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1816]) ).
thf(1965,plain,
! [SV375: set_val,SV307: set_val,SV204: set_val,SV80: set_val] :
( ( ( ( ( set_or1554624499et_val @ SV80 @ SV204 )
!= ( set_or1554624499et_val @ SV307 @ SV375 ) )
| ~ ( ~ ( ( SV80 != SV307 )
| ( SV204 != SV375 ) )
| ~ ( ~ ~ ( ord_less_eq_set_val @ SV80 @ SV204 )
| ~ ~ ( ord_less_eq_set_val @ SV307 @ SV375 ) ) ) )
= $false )
| ( ( ( set_or1554624499et_val @ SV80 @ SV204 )
= ( set_or1554624499et_val @ SV307 @ SV375 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1817]) ).
thf(1966,plain,
! [SV375: set_val,SV204: set_val,SV307: set_val,SV80: set_val] :
( ( ( ~ ( ( SV80 != SV307 )
| ( SV204 != SV375 ) ) )
= $false )
| ( ( ~ ( ( ( set_or1554624499et_val @ SV80 @ SV204 )
!= ( set_or1554624499et_val @ SV307 @ SV375 ) )
| ~ ( ~ ( ( SV80 != SV307 )
| ( SV204 != SV375 ) )
| ~ ( ~ ~ ( ord_less_eq_set_val @ SV80 @ SV204 )
| ~ ~ ( ord_less_eq_set_val @ SV307 @ SV375 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1818]) ).
thf(1967,plain,
! [SV375: set_val,SV307: set_val,SV204: set_val,SV80: set_val] :
( ( ( ~ ( ~ ~ ( ord_less_eq_set_val @ SV80 @ SV204 )
| ~ ~ ( ord_less_eq_set_val @ SV307 @ SV375 ) ) )
= $false )
| ( ( ~ ( ( ( set_or1554624499et_val @ SV80 @ SV204 )
!= ( set_or1554624499et_val @ SV307 @ SV375 ) )
| ~ ( ~ ( ( SV80 != SV307 )
| ( SV204 != SV375 ) )
| ~ ( ~ ~ ( ord_less_eq_set_val @ SV80 @ SV204 )
| ~ ~ ( ord_less_eq_set_val @ SV307 @ SV375 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1818]) ).
thf(1968,plain,
! [SV376: set_val,SV206: set_val] :
( ( ( ~ ( ord_less_set_val @ SV206 @ SV376 )
| ~ ~ ( ~ ( ord_less_eq_set_val @ SV206 @ SV376 )
| ~ ( ( SV206 != SV376 ) ) ) )
= $false )
| ( ( ord_less_set_val @ SV206 @ SV376 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1819]) ).
thf(1969,plain,
! [SV376: set_val,SV206: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV206 @ SV376 )
| ~ ( ( SV206 != SV376 ) ) )
= $true )
| ( ( ~ ( ~ ( ord_less_set_val @ SV206 @ SV376 )
| ~ ~ ( ~ ( ord_less_eq_set_val @ SV206 @ SV376 )
| ~ ( ( SV206 != SV376 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1820]) ).
thf(1970,plain,
! [SV310: val,SV377: val,SV83: set_val,SV207: val > set_val] :
( ( ( ~ ! [SY822: val,SY823: val] :
( ~ ( ord_less_eq_val @ SY822 @ SY823 )
| ( ord_less_eq_set_val @ ( SV207 @ SY822 ) @ ( SV207 @ SY823 ) ) ) )
= $true )
| ( ( ord_less_eq_set_val @ SV83 @ ( SV207 @ SV377 ) )
= $true )
| ( ( ord_less_eq_val @ SV310 @ SV377 )
= $false )
| ( ( SV83
= ( SV207 @ SV310 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1821]) ).
thf(1971,plain,
! [SV378: set_val,SV211: set_val] :
( ( ( ~ ( ord_less_set_val @ SV211 @ SV378 )
| ~ ~ ( ~ ( ord_less_eq_set_val @ SV211 @ SV378 )
| ~ ~ ( ord_less_eq_set_val @ SV378 @ SV211 ) ) )
= $false )
| ( ( ord_less_set_val @ SV211 @ SV378 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1822]) ).
thf(1972,plain,
! [SV378: set_val,SV211: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV211 @ SV378 )
| ~ ~ ( ord_less_eq_set_val @ SV378 @ SV211 ) )
= $true )
| ( ( ~ ( ~ ( ord_less_set_val @ SV211 @ SV378 )
| ~ ~ ( ~ ( ord_less_eq_set_val @ SV211 @ SV378 )
| ~ ~ ( ord_less_eq_set_val @ SV378 @ SV211 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1823]) ).
thf(1973,plain,
! [SV315: set_set_val,SV379: set_set_val,SV90: set_val,SV214: set_set_val > set_val] :
( ( ( ~ ! [SY830: set_set_val,SY831: set_set_val] :
( ~ ( ord_le1742111550et_val @ SY830 @ SY831 )
| ( ord_less_eq_set_val @ ( SV214 @ SY830 ) @ ( SV214 @ SY831 ) ) ) )
= $true )
| ( ( ord_less_eq_set_val @ SV90 @ ( SV214 @ SV379 ) )
= $true )
| ( ( ord_le1742111550et_val @ SV315 @ SV379 )
= $false )
| ( ( ord_less_eq_set_val @ SV90 @ ( SV214 @ SV315 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1824]) ).
thf(1974,plain,
! [SV317: set_val,SV380: set_val,SV92: set_val,SV216: set_val > set_val] :
( ( ( ~ ! [SY835: set_val,SY836: set_val] :
( ~ ( ord_less_eq_set_val @ SY835 @ SY836 )
| ( ord_less_eq_set_val @ ( SV216 @ SY835 ) @ ( SV216 @ SY836 ) ) ) )
= $true )
| ( ( ord_less_set_val @ SV92 @ ( SV216 @ SV380 ) )
= $true )
| ( ( ord_less_eq_set_val @ SV317 @ SV380 )
= $false )
| ( ( ord_less_set_val @ SV92 @ ( SV216 @ SV317 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1827]) ).
thf(1975,plain,
! [SV217: set_val,SV93: set_val] :
( ( ( ord_less_eq_set_val @ SV93 @ SV217 )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_val @ SV93 @ SV217 )
| ( SV93 != SV217 ) ) )
= $true )
| ( ( ord_less_set_val @ SV93 @ SV217 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1828]) ).
thf(1976,plain,
! [SV217: set_val,SV93: set_val] :
( ( ( SV93 = SV217 )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_val @ SV93 @ SV217 )
| ( SV93 != SV217 ) ) )
= $true )
| ( ( ord_less_set_val @ SV93 @ SV217 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1828]) ).
thf(1977,plain,
! [SV381: set_val,SV222: set_val] :
( ( ( ( SV222 != SV381 )
| ~ ~ ( ~ ( ord_less_eq_set_val @ SV381 @ SV222 )
| ~ ( ord_less_eq_set_val @ SV222 @ SV381 ) ) )
= $false )
| ( ( SV222 = SV381 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1829]) ).
thf(1978,plain,
! [SV222: set_val,SV381: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV381 @ SV222 )
| ~ ( ord_less_eq_set_val @ SV222 @ SV381 ) )
= $true )
| ( ( ~ ( ( SV222 != SV381 )
| ~ ~ ( ~ ( ord_less_eq_set_val @ SV381 @ SV222 )
| ~ ( ord_less_eq_set_val @ SV222 @ SV381 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1830]) ).
thf(1979,plain,
! [SV321: set_val,SV223: set_val,SV397: set_val,SV382: set_val,SV99: $o] :
( ( SV99 = $true )
| ( ( ~ ( ~ ~ SV99
| ( ord_less_eq_set_val @ SV382 @ SV397 ) )
| ( ord_less_eq_set_val @ ( if_set_val @ SV99 @ SV223 @ SV382 ) @ ( if_set_val @ SV99 @ SV321 @ SV397 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1831]) ).
thf(1980,plain,
! [SV321: set_val,SV223: set_val,SV397: set_val,SV382: set_val,SV99: $o] :
( ( ( ~ ( ~ ~ SV99
| ( ord_less_eq_set_val @ SV382 @ SV397 ) ) )
= $true )
| ( ( ord_less_eq_set_val @ ( if_set_val @ SV99 @ SV223 @ SV382 ) @ ( if_set_val @ SV99 @ SV321 @ SV397 ) )
= $true )
| ( ( ord_less_eq_set_val @ SV223 @ SV321 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1832]) ).
thf(1981,plain,
! [SV322: set_val,SV224: set_val,SV398: set_val,SV383: set_val] :
( ( $true = $true )
| ( ( ~ ( ~ ~ $true
| ( ord_less_eq_set_val @ SV383 @ SV398 ) )
| ( ord_less_eq_set_val @ ( if_set_val @ $true @ SV224 @ SV383 ) @ ( if_set_val @ $true @ SV322 @ SV398 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1833]) ).
thf(1982,plain,
! [SV322: set_val,SV224: set_val,SV398: set_val,SV383: set_val] :
( ( ( ~ ( ~ ~ $true
| ( ord_less_eq_set_val @ SV383 @ SV398 ) ) )
= $true )
| ( ( ord_less_eq_set_val @ ( if_set_val @ $true @ SV224 @ SV383 ) @ ( if_set_val @ $true @ SV322 @ SV398 ) )
= $true )
| ( ( ord_less_eq_set_val @ SV224 @ SV322 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1834]) ).
thf(1983,plain,
! [SV323: set_val,SV225: set_val,SV399: set_val,SV384: set_val] :
( ( $false = $true )
| ( ( ~ ( ~ ~ $false
| ( ord_less_eq_set_val @ SV384 @ SV399 ) )
| ( ord_less_eq_set_val @ ( if_set_val @ $false @ SV225 @ SV384 ) @ ( if_set_val @ $false @ SV323 @ SV399 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1835]) ).
thf(1984,plain,
! [SV323: set_val,SV225: set_val,SV399: set_val,SV384: set_val] :
( ( ( ~ ( ~ ~ $false
| ( ord_less_eq_set_val @ SV384 @ SV399 ) ) )
= $true )
| ( ( ord_less_eq_set_val @ ( if_set_val @ $false @ SV225 @ SV384 ) @ ( if_set_val @ $false @ SV323 @ SV399 ) )
= $true )
| ( ( ord_less_eq_set_val @ SV225 @ SV323 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1836]) ).
thf(1985,plain,
! [SV385: set_val,SV226: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV226 @ SV385 )
| ~ ! [SY1033: val] :
( ~ ( member_val @ SY1033 @ SV226 )
| ( member_val @ SY1033 @ SV385 ) ) )
= $false )
| ( ( ord_less_eq_set_val @ SV226 @ SV385 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1837]) ).
thf(1986,plain,
! [SV226: set_val,SV385: set_val] :
( ( ( ~ ( member_val @ ( sK18_SY1033 @ SV385 @ SV226 ) @ SV226 )
| ( member_val @ ( sK18_SY1033 @ SV385 @ SV226 ) @ SV385 ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_val @ SV226 @ SV385 )
| ~ ! [SY1033: val] :
( ~ ( member_val @ SY1033 @ SV226 )
| ( member_val @ SY1033 @ SV385 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1838]) ).
thf(1987,plain,
! [SV325: set_val,SV386: set_val,SV101: set_val,SV227: set_val > set_val] :
( ( ( ~ ! [SY854: set_val,SY855: set_val] :
( ~ ( ord_less_eq_set_val @ SY854 @ SY855 )
| ( ord_less_eq_set_val @ ( SV227 @ SY854 ) @ ( SV227 @ SY855 ) ) ) )
= $true )
| ( ( ord_less_eq_set_val @ SV101 @ ( SV227 @ SV386 ) )
= $true )
| ( ( ord_less_eq_set_val @ SV325 @ SV386 )
= $false )
| ( ( ord_less_eq_set_val @ SV101 @ ( SV227 @ SV325 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1839]) ).
thf(1988,plain,
! [SV232: set_val > set_val] :
( ( ( order_1719375026et_val @ SV232 )
= $true )
| ( ( order_1719375026et_val @ SV232 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1840]) ).
thf(1989,plain,
! [SV232: set_val > set_val] :
( ( ( ! [SY856: set_val,SY857: set_val] :
( ~ ( ord_less_eq_set_val @ SY856 @ SY857 )
| ( ord_less_eq_set_val @ ( SV232 @ SY857 ) @ ( SV232 @ SY856 ) ) ) )
= $true )
| ( ( order_1719375026et_val @ SV232 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1841]) ).
thf(1990,plain,
! [SV232: set_val > set_val] :
( ( ( ~ ( ord_less_eq_set_val @ ( sK12_SY856 @ SV232 ) @ ( sK13_SY1047 @ SV232 ) ) )
= $false )
| ( ( ~ ( ~ ( order_1719375026et_val @ SV232 )
| ~ ! [SY856: set_val,SY857: set_val] :
( ~ ( ord_less_eq_set_val @ SY856 @ SY857 )
| ( ord_less_eq_set_val @ ( SV232 @ SY857 ) @ ( SV232 @ SY856 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1842]) ).
thf(1991,plain,
! [SV232: set_val > set_val] :
( ( ( ord_less_eq_set_val @ ( SV232 @ ( sK13_SY1047 @ SV232 ) ) @ ( SV232 @ ( sK12_SY856 @ SV232 ) ) )
= $false )
| ( ( ~ ( ~ ( order_1719375026et_val @ SV232 )
| ~ ! [SY856: set_val,SY857: set_val] :
( ~ ( ord_less_eq_set_val @ SY856 @ SY857 )
| ( ord_less_eq_set_val @ ( SV232 @ SY857 ) @ ( SV232 @ SY856 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1842]) ).
thf(1992,plain,
! [SV326: set_val,SV387: set_val,SV108: val,SV234: set_val > val] :
( ( ( ~ ! [SY860: set_val,SY861: set_val] :
( ~ ( ord_less_eq_set_val @ SY860 @ SY861 )
| ( ord_less_eq_val @ ( SV234 @ SY860 ) @ ( SV234 @ SY861 ) ) ) )
= $true )
| ( ( ord_less_eq_val @ SV108 @ ( SV234 @ SV387 ) )
= $true )
| ( ( ord_less_eq_set_val @ SV326 @ SV387 )
= $false )
| ( ( SV108
= ( SV234 @ SV326 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1843]) ).
thf(1993,plain,
! [SV235: set_val,SV388: val,SV109: set_val,SV327: set_val > val] :
( ( ( ~ ! [SY976: set_val,SY977: set_val] :
( ~ ( ord_less_eq_set_val @ SY976 @ SY977 )
| ( ord_less_eq_val @ ( SV327 @ SY976 ) @ ( SV327 @ SY977 ) ) ) )
= $true )
| ( ( ord_less_eq_val @ ( SV327 @ SV109 ) @ SV388 )
= $true )
| ( ( ord_less_eq_val @ ( SV327 @ SV235 ) @ SV388 )
= $false )
| ( ( ord_less_eq_set_val @ SV109 @ SV235 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1844]) ).
thf(1994,plain,
! [SV236: set_set_val,SV389: set_val,SV110: set_set_val,SV328: set_set_val > set_val] :
( ( ( ~ ! [SY979: set_set_val,SY980: set_set_val] :
( ~ ( ord_le1742111550et_val @ SY979 @ SY980 )
| ( ord_less_eq_set_val @ ( SV328 @ SY979 ) @ ( SV328 @ SY980 ) ) ) )
= $true )
| ( ( ord_less_eq_set_val @ ( SV328 @ SV110 ) @ SV389 )
= $true )
| ( ( ( SV328 @ SV236 )
= SV389 )
= $false )
| ( ( ord_le1742111550et_val @ SV110 @ SV236 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1845]) ).
thf(1995,plain,
! [SV238: set_val,SV330: set_val,SV390: set_val,SV112: $o] :
( ( ( ~ ( ~ ~ SV112
| ( ord_less_eq_set_val @ SV390 @ SV330 ) ) )
= $true )
| ( ( ord_less_eq_set_val @ ( if_set_val @ SV112 @ SV238 @ SV390 ) @ SV330 )
= $true )
| ( SV112 = $true ) ),
inference(extcnf_or_pos,[status(thm)],[1846]) ).
thf(1996,plain,
! [SV238: set_val,SV330: set_val,SV390: set_val,SV112: $o] :
( ( ( ~ ~ SV112
| ( ord_less_eq_set_val @ SV390 @ SV330 ) )
= $false )
| ( ( ord_less_eq_set_val @ ( if_set_val @ SV112 @ SV238 @ SV390 ) @ SV330 )
= $true )
| ( ( ord_less_eq_set_val @ SV238 @ SV330 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1847]) ).
thf(1997,plain,
! [SV239: set_val,SV331: set_val,SV391: set_val] :
( ( ( ~ ( ~ ~ $true
| ( ord_less_eq_set_val @ SV391 @ SV331 ) ) )
= $true )
| ( ( ord_less_eq_set_val @ ( if_set_val @ $true @ SV239 @ SV391 ) @ SV331 )
= $true )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[1848]) ).
thf(1998,plain,
! [SV239: set_val,SV331: set_val,SV391: set_val] :
( ( ( ~ ~ $true
| ( ord_less_eq_set_val @ SV391 @ SV331 ) )
= $false )
| ( ( ord_less_eq_set_val @ ( if_set_val @ $true @ SV239 @ SV391 ) @ SV331 )
= $true )
| ( ( ord_less_eq_set_val @ SV239 @ SV331 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1849]) ).
thf(1999,plain,
! [SV240: set_val,SV332: set_val,SV392: set_val] :
( ( ( ~ ( ~ ~ $false
| ( ord_less_eq_set_val @ SV392 @ SV332 ) ) )
= $true )
| ( ( ord_less_eq_set_val @ ( if_set_val @ $false @ SV240 @ SV392 ) @ SV332 )
= $true )
| ( $false = $true ) ),
inference(extcnf_or_pos,[status(thm)],[1850]) ).
thf(2000,plain,
! [SV240: set_val,SV332: set_val,SV392: set_val] :
( ( ( ~ ~ $false
| ( ord_less_eq_set_val @ SV392 @ SV332 ) )
= $false )
| ( ( ord_less_eq_set_val @ ( if_set_val @ $false @ SV240 @ SV392 ) @ SV332 )
= $true )
| ( ( ord_less_eq_set_val @ SV240 @ SV332 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1851]) ).
thf(2001,plain,
! [SV333: set_val,SV393: set_val,SV113: set_val,SV241: set_val > set_val] :
( ( ( ~ ! [SY879: set_val,SY880: set_val] :
( ~ ( ord_less_eq_set_val @ SY879 @ SY880 )
| ( ord_less_eq_set_val @ ( SV241 @ SY879 ) @ ( SV241 @ SY880 ) ) ) )
= $true )
| ( ( ord_less_eq_set_val @ SV113 @ ( SV241 @ SV393 ) )
= $true )
| ( ( ord_less_eq_set_val @ SV333 @ SV393 )
= $false )
| ( ( SV113
= ( SV241 @ SV333 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1852]) ).
thf(2002,plain,
! [SV243: set_val,SV334: set_val > $o,SV115: set_val > $o] :
( ( ( ~ ( SV115 @ ( sK14_SY882 @ SV334 @ SV243 @ SV115 ) ) )
= $false )
| ( ( ~ ! [SY988: set_val] :
( ~ ( SV115 @ SY988 )
| ~ ! [SY677: set_val] :
( ~ ( SV115 @ SY677 )
| ( ord_less_eq_set_val @ SY677 @ SY988 ) )
| ( SV334 @ SY988 ) )
| ( SV334 @ ( order_1960465943et_val @ SV115 ) ) )
= $true )
| ( ( SV115 @ SV243 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1853]) ).
thf(2003,plain,
! [SV115: set_val > $o,SV243: set_val,SV334: set_val > $o] :
( ( ( ord_less_eq_set_val @ ( sK14_SY882 @ SV334 @ SV243 @ SV115 ) @ SV243 )
= $false )
| ( ( ~ ! [SY988: set_val] :
( ~ ( SV115 @ SY988 )
| ~ ! [SY677: set_val] :
( ~ ( SV115 @ SY677 )
| ( ord_less_eq_set_val @ SY677 @ SY988 ) )
| ( SV334 @ SY988 ) )
| ( SV334 @ ( order_1960465943et_val @ SV115 ) ) )
= $true )
| ( ( SV115 @ SV243 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1853]) ).
thf(2004,plain,
! [SV394: set_val,SV244: set_val] :
( ( ( ~ ( ord_less_set_val @ SV244 @ SV394 )
| ~ ~ ( ~ ( ord_less_eq_set_val @ SV244 @ SV394 )
| ~ ( ( SV394 != SV244 ) ) ) )
= $false )
| ( ( ord_less_set_val @ SV244 @ SV394 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1854]) ).
thf(2005,plain,
! [SV394: set_val,SV244: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV244 @ SV394 )
| ~ ( ( SV394 != SV244 ) ) )
= $true )
| ( ( ~ ( ~ ( ord_less_set_val @ SV244 @ SV394 )
| ~ ~ ( ~ ( ord_less_eq_set_val @ SV244 @ SV394 )
| ~ ( ( SV394 != SV244 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1855]) ).
thf(2006,plain,
! [SV336: set_val,SV245: set_val,SV117: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ ( sup_sup_set_val @ SV117 @ SV245 ) @ SV336 ) )
= $false )
| ( ( ord_less_eq_set_val @ ( sup_sup_set_val @ SV117 @ SV245 ) @ SV336 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1856]) ).
thf(2007,plain,
! [SV245: set_val,SV336: set_val,SV117: set_val] :
( ( ( ~ ~ ( ~ ( ord_less_eq_set_val @ SV117 @ SV336 )
| ~ ( ord_less_eq_set_val @ SV245 @ SV336 ) ) )
= $false )
| ( ( ord_less_eq_set_val @ ( sup_sup_set_val @ SV117 @ SV245 ) @ SV336 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1856]) ).
thf(2008,plain,
! [SV245: set_val,SV336: set_val,SV117: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV117 @ SV336 ) )
= $true )
| ( ( ~ ( ord_less_eq_set_val @ SV245 @ SV336 ) )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_set_val @ ( sup_sup_set_val @ SV117 @ SV245 ) @ SV336 )
| ~ ~ ( ~ ( ord_less_eq_set_val @ SV117 @ SV336 )
| ~ ( ord_less_eq_set_val @ SV245 @ SV336 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1857]) ).
thf(2009,plain,
! [SV118: set_val > set_val,SV246: set_val > set_val] :
( ( ( ( ord_less_eq_set_val @ ( sK4_SY887 @ SV246 @ SV118 ) @ ( SV118 @ ( sK8_SY1045 @ SV118 @ SV246 ) ) )
| ( ord_less_eq_set_val @ ( SV246 @ ( sK4_SY887 @ SV246 @ SV118 ) ) @ ( sK8_SY1045 @ SV118 @ SV246 ) ) )
= $true )
| ( ( refine1929691018et_val @ SV246 @ SV118 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1858]) ).
thf(2010,plain,
! [SV118: set_val > set_val,SV246: set_val > set_val] :
( ( ( ~ ( ord_less_eq_set_val @ ( sK4_SY887 @ SV246 @ SV118 ) @ ( SV118 @ ( sK8_SY1045 @ SV118 @ SV246 ) ) )
| ~ ( ord_less_eq_set_val @ ( SV246 @ ( sK4_SY887 @ SV246 @ SV118 ) ) @ ( sK8_SY1045 @ SV118 @ SV246 ) ) )
= $true )
| ( ( refine1929691018et_val @ SV246 @ SV118 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1859]) ).
thf(2011,plain,
! [SV125: set_val > set_val,SV395: set_val,SV253: set_val > set_val,SV340: set_val] :
( ( ( ( ord_less_eq_set_val @ SV340 @ ( SV253 @ SV395 ) )
| ( ord_less_eq_set_val @ ( SV125 @ SV340 ) @ SV395 ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_val @ SV340 @ ( SV253 @ SV395 ) )
| ~ ( ord_less_eq_set_val @ ( SV125 @ SV340 ) @ SV395 ) ) )
= $true )
| ( ( refine1929691018et_val @ SV125 @ SV253 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1860]) ).
thf(2012,plain,
! [SV342: $o > set_val,SV130: $o > set_val] :
( ( ( ~ ( ord_le994826475et_val @ SV130 @ SV342 ) )
= $false )
| ( ( ord_le994826475et_val @ SV130 @ SV342 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1861]) ).
thf(2013,plain,
! [SV342: $o > set_val,SV130: $o > set_val] :
( ( ( ~ ! [SY991: $o] : ( ord_less_eq_set_val @ ( SV130 @ SY991 ) @ ( SV342 @ SY991 ) ) )
= $false )
| ( ( ord_le994826475et_val @ SV130 @ SV342 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1861]) ).
thf(2014,plain,
! [SV342: $o > set_val,SV130: $o > set_val] :
( ( ( ~ ( ord_le994826475et_val @ SV130 @ SV342 )
| ~ ! [SY991: $o] : ( ord_less_eq_set_val @ ( SV130 @ SY991 ) @ ( SV342 @ SY991 ) ) )
= $false )
| ( ( ord_less_eq_set_val @ ( SV130 @ ( sK15_SY991 @ SV342 @ SV130 ) ) @ ( SV342 @ ( sK15_SY991 @ SV342 @ SV130 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1862]) ).
thf(2015,plain,
! [SV343: set_val > set_val,SV131: set_val > set_val] :
( ( ( ~ ( refine1929691018et_val @ SV131 @ SV343 ) )
= $false )
| ( ( refine1929691018et_val @ SV131 @ SV343 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1863]) ).
thf(2016,plain,
! [SV131: set_val > set_val,SV343: set_val > set_val] :
( ( ( ~ ! [SY992: set_val,SY993: set_val] :
( ( ord_less_eq_set_val @ SY992 @ ( SV343 @ SY993 ) )
= ( ord_less_eq_set_val @ ( SV131 @ SY992 ) @ SY993 ) ) )
= $false )
| ( ( refine1929691018et_val @ SV131 @ SV343 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1863]) ).
thf(2017,plain,
! [SV343: set_val > set_val,SV131: set_val > set_val] :
( ( ( ( ord_less_eq_set_val @ ( sK16_SY992 @ SV131 @ SV343 ) @ ( SV343 @ ( sK19_SY1048 @ SV343 @ SV131 ) ) )
= ( ord_less_eq_set_val @ ( SV131 @ ( sK16_SY992 @ SV131 @ SV343 ) ) @ ( sK19_SY1048 @ SV343 @ SV131 ) ) )
= $false )
| ( ( ~ ( ~ ( refine1929691018et_val @ SV131 @ SV343 )
| ~ ! [SY992: set_val,SY993: set_val] :
( ( ord_less_eq_set_val @ SY992 @ ( SV343 @ SY993 ) )
= ( ord_less_eq_set_val @ ( SV131 @ SY992 ) @ SY993 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1864]) ).
thf(2018,plain,
! [SV344: set_val,SV133: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV133 @ SV344 ) )
= $false )
| ( ( ord_less_eq_set_val @ SV133 @ SV344 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1869]) ).
thf(2019,plain,
! [SV344: set_val,SV133: set_val] :
( ( ( ~ ( ( ord_less_set_val @ SV133 @ SV344 )
| ( SV133 = SV344 ) ) )
= $false )
| ( ( ord_less_eq_set_val @ SV133 @ SV344 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1869]) ).
thf(2020,plain,
! [SV344: set_val,SV133: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV133 @ SV344 )
| ~ ( ( ord_less_set_val @ SV133 @ SV344 )
| ( SV133 = SV344 ) ) )
= $false )
| ( ( ord_less_set_val @ SV133 @ SV344 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1870]) ).
thf(2021,plain,
! [SV344: set_val,SV133: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV133 @ SV344 )
| ~ ( ( ord_less_set_val @ SV133 @ SV344 )
| ( SV133 = SV344 ) ) )
= $false )
| ( ( SV133 = SV344 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1871]) ).
thf(2022,plain,
! [SV345: set_val,SV134: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV134 @ SV345 ) )
= $false )
| ( ( ord_less_eq_set_val @ SV134 @ SV345 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1872]) ).
thf(2023,plain,
! [SV345: set_val,SV134: set_val] :
( ( ( ~ ( ( ord_less_set_val @ SV134 @ SV345 )
| ( SV134 = SV345 ) ) )
= $false )
| ( ( ord_less_eq_set_val @ SV134 @ SV345 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1872]) ).
thf(2024,plain,
! [SV345: set_val,SV134: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV134 @ SV345 )
| ~ ( ( ord_less_set_val @ SV134 @ SV345 )
| ( SV134 = SV345 ) ) )
= $false )
| ( ( ord_less_set_val @ SV134 @ SV345 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1873]) ).
thf(2025,plain,
! [SV345: set_val,SV134: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV134 @ SV345 )
| ~ ( ( ord_less_set_val @ SV134 @ SV345 )
| ( SV134 = SV345 ) ) )
= $false )
| ( ( SV134 = SV345 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1874]) ).
thf(2026,plain,
! [SV346: set_val,SV135: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV135 @ SV346 ) )
= $false )
| ( ( ord_less_eq_set_val @ SV135 @ SV346 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1875]) ).
thf(2027,plain,
! [SV346: set_val,SV135: set_val] :
( ( ( ~ ( ( ord_less_set_val @ SV135 @ SV346 )
| ( SV346 = SV135 ) ) )
= $false )
| ( ( ord_less_eq_set_val @ SV135 @ SV346 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1875]) ).
thf(2028,plain,
! [SV346: set_val,SV135: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV135 @ SV346 )
| ~ ( ( ord_less_set_val @ SV135 @ SV346 )
| ( SV346 = SV135 ) ) )
= $false )
| ( ( ord_less_set_val @ SV135 @ SV346 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1876]) ).
thf(2029,plain,
! [SV346: set_val,SV135: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV135 @ SV346 )
| ~ ( ( ord_less_set_val @ SV135 @ SV346 )
| ( SV346 = SV135 ) ) )
= $false )
| ( ( SV346 = SV135 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1877]) ).
thf(2030,plain,
! [SV347: set_val,SV136: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV136 @ SV347 ) )
= $false )
| ( ( ord_less_eq_set_val @ SV136 @ SV347 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1878]) ).
thf(2031,plain,
! [SV347: set_val,SV136: set_val] :
( ( ( ~ ( ( ord_less_set_val @ SV136 @ SV347 )
| ( SV136 = SV347 ) ) )
= $false )
| ( ( ord_less_eq_set_val @ SV136 @ SV347 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1878]) ).
thf(2032,plain,
! [SV347: set_val,SV136: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV136 @ SV347 )
| ~ ( ( ord_less_set_val @ SV136 @ SV347 )
| ( SV136 = SV347 ) ) )
= $false )
| ( ( ord_less_set_val @ SV136 @ SV347 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1879]) ).
thf(2033,plain,
! [SV347: set_val,SV136: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV136 @ SV347 )
| ~ ( ( ord_less_set_val @ SV136 @ SV347 )
| ( SV136 = SV347 ) ) )
= $false )
| ( ( SV136 = SV347 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1880]) ).
thf(2034,plain,
! [SV348: set_val,SV138: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV138 @ SV348 ) )
= $false )
| ( ( ord_less_eq_set_val @ SV138 @ SV348 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1885]) ).
thf(2035,plain,
! [SV348: set_val,SV138: set_val] :
( ( ( ( sup_sup_set_val @ SV138 @ SV348 )
!= SV348 )
= $false )
| ( ( ord_less_eq_set_val @ SV138 @ SV348 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1885]) ).
thf(2036,plain,
! [SV348: set_val,SV138: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV138 @ SV348 ) )
= $false )
| ( ( ( sup_sup_set_val @ SV138 @ SV348 )
= SV348 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1886]) ).
thf(2037,plain,
! [SV348: set_val,SV138: set_val] :
( ( ( ( sup_sup_set_val @ SV138 @ SV348 )
!= SV348 )
= $false )
| ( ( ( sup_sup_set_val @ SV138 @ SV348 )
= SV348 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1886]) ).
thf(2038,plain,
! [SV349: set_val,SV139: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV139 @ SV349 ) )
= $false )
| ( ( ord_less_eq_set_val @ SV139 @ SV349 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1887]) ).
thf(2039,plain,
! [SV139: set_val,SV349: set_val] :
( ( ( ( sup_sup_set_val @ SV349 @ SV139 )
!= SV349 )
= $false )
| ( ( ord_less_eq_set_val @ SV139 @ SV349 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1887]) ).
thf(2040,plain,
! [SV349: set_val,SV139: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV139 @ SV349 ) )
= $false )
| ( ( ( sup_sup_set_val @ SV349 @ SV139 )
= SV349 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1888]) ).
thf(2041,plain,
! [SV139: set_val,SV349: set_val] :
( ( ( ( sup_sup_set_val @ SV349 @ SV139 )
!= SV349 )
= $false )
| ( ( ( sup_sup_set_val @ SV349 @ SV139 )
= SV349 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1888]) ).
thf(2042,plain,
! [SV350: set_val,SV142: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV142 @ SV350 ) )
= $false )
| ( ( ord_less_eq_set_val @ SV142 @ SV350 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1889]) ).
thf(2043,plain,
! [SV142: set_val,SV350: set_val] :
( ( ( SV350
!= ( sup_sup_set_val @ SV350 @ SV142 ) )
= $false )
| ( ( ord_less_eq_set_val @ SV142 @ SV350 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1889]) ).
thf(2044,plain,
! [SV350: set_val,SV142: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV142 @ SV350 ) )
= $false )
| ( ( SV350
= ( sup_sup_set_val @ SV350 @ SV142 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1890]) ).
thf(2045,plain,
! [SV142: set_val,SV350: set_val] :
( ( ( SV350
!= ( sup_sup_set_val @ SV350 @ SV142 ) )
= $false )
| ( ( SV350
= ( sup_sup_set_val @ SV350 @ SV142 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1890]) ).
thf(2046,plain,
! [SV17: $o] :
( ( ( ~ ( SV17
| $false )
| ~ ( ~ SV17
| ~ $false ) )
= $true )
| ( SV17 = $false )
| ( SV17 = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1891]) ).
thf(2047,plain,
! [SV17: $o] :
( ( ( SV17 = $false )
= $true )
| ( SV17 = $false )
| ( SV17 = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1891]) ).
thf(2048,plain,
! [SV17: $o] :
( ( ( ~ ( SV17
| $false )
| ~ ( ~ SV17
| ~ $false ) )
= $true )
| ( SV17 = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1892]) ).
thf(2049,plain,
! [SV17: $o] :
( ( ( SV17 = $false )
= $true )
| ( SV17 = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1892]) ).
thf(2050,plain,
! [SV17: $o] :
( ( ( ~ ( SV17
| $false )
| ~ ( ~ SV17
| ~ $false ) )
= $true )
| ( $true = $false )
| ( SV17 = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1893]) ).
thf(2051,plain,
! [SV17: $o] :
( ( ( SV17 = $false )
= $true )
| ( $true = $false )
| ( SV17 = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1893]) ).
thf(2052,plain,
! [SV17: $o] :
( ( ( ~ ( SV17
| $false )
| ~ ( ~ SV17
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1894]) ).
thf(2053,plain,
! [SV17: $o] :
( ( ( SV17 = $false )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1894]) ).
thf(2054,plain,
! [SV17: $o] :
( ( SV17 = $true )
| ( SV17 = $false )
| ( ( SV17 = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1895]) ).
thf(2055,plain,
! [SV17: $o] :
( ( $false = $true )
| ( SV17 = $false )
| ( ( SV17 = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1896]) ).
thf(2056,plain,
! [SV17: $o] :
( ( SV17 = $true )
| ( $false = $false )
| ( ( SV17 = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1897]) ).
thf(2057,plain,
! [SV17: $o] :
( ( $false = $true )
| ( $false = $false )
| ( ( SV17 = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1898]) ).
thf(2058,plain,
( ( ( ~ ( $true
| $false )
| ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1899]) ).
thf(2059,plain,
( ( ( $true = $false )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1899]) ).
thf(2060,plain,
( ( ( ~ ( $true
| $false )
| ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1900]) ).
thf(2061,plain,
( ( ( $true = $false )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1900]) ).
thf(2062,plain,
( ( ( ~ ( $true
| $false )
| ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1901]) ).
thf(2063,plain,
( ( ( $true = $false )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1901]) ).
thf(2064,plain,
( ( ( ~ ( $true
| $false )
| ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1902]) ).
thf(2065,plain,
( ( ( $true = $false )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1902]) ).
thf(2066,plain,
( ( $true = $true )
| ( $true = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1903]) ).
thf(2067,plain,
( ( $false = $true )
| ( $true = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1904]) ).
thf(2068,plain,
( ( $true = $true )
| ( $false = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1905]) ).
thf(2069,plain,
( ( $false = $true )
| ( $false = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1906]) ).
thf(2070,plain,
( ( ( ~ ( $false
| $false )
| ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1907]) ).
thf(2071,plain,
( ( ( $false = $false )
= $true )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1907]) ).
thf(2072,plain,
( ( ( ~ ( $false
| $false )
| ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1908]) ).
thf(2073,plain,
( ( ( $false = $false )
= $true )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1908]) ).
thf(2074,plain,
( ( ( ~ ( $false
| $false )
| ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1909]) ).
thf(2075,plain,
( ( ( $false = $false )
= $true )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1909]) ).
thf(2076,plain,
( ( ( ~ ( $false
| $false )
| ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1910]) ).
thf(2077,plain,
( ( ( $false = $false )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1910]) ).
thf(2078,plain,
( ( $false = $true )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1911]) ).
thf(2079,plain,
( ( $false = $true )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1912]) ).
thf(2080,plain,
( ( $false = $true )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1913]) ).
thf(2081,plain,
( ( $false = $true )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1914]) ).
thf(2082,plain,
! [SV144: set_val,SV266: set_val,SV19: set_val > set_val > set_val] :
( ( ( ! [SY1049: set_val] : ( ord_less_eq_set_val @ SY1049 @ ( SV19 @ ( sK20_SY439 @ SV266 @ SV144 @ SV19 ) @ SY1049 ) ) )
= $false )
| ( ( ~ ! [SY441: set_val,SY442: set_val,SY443: set_val] :
( ~ ( ord_less_eq_set_val @ SY442 @ SY441 )
| ~ ( ord_less_eq_set_val @ SY443 @ SY441 )
| ( ord_less_eq_set_val @ ( SV19 @ SY442 @ SY443 ) @ SY441 ) )
| ( ( sup_sup_set_val @ SV144 @ SV266 )
= ( SV19 @ SV144 @ SV266 ) ) )
= $true )
| ( ( ord_less_eq_set_val @ ( sK7_SY437 @ SV266 @ SV144 @ SV19 ) @ ( SV19 @ ( sK7_SY437 @ SV266 @ SV144 @ SV19 ) @ ( sK9_SY1046 @ SV19 @ SV144 @ SV266 ) ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1915]) ).
thf(2083,plain,
! [SV268: val,SV351: val,SV22: set_val,SV147: val > set_val] :
( ( ( ! [SY726: val,SY727: val] :
( ~ ( ord_less_eq_val @ SY726 @ SY727 )
| ( ord_less_eq_set_val @ ( SV147 @ SY726 ) @ ( SV147 @ SY727 ) ) ) )
= $false )
| ( ( ord_less_eq_set_val @ SV22 @ ( SV147 @ SV351 ) )
= $true )
| ( ( ord_less_eq_val @ SV268 @ SV351 )
= $false )
| ( ( ord_less_eq_set_val @ SV22 @ ( SV147 @ SV268 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1916]) ).
thf(2084,plain,
! [SV148: set_val,SV352: set_set_val,SV24: set_val,SV269: set_val > set_set_val] :
( ( ( ! [SY910: set_val,SY911: set_val] :
( ~ ( ord_less_eq_set_val @ SY910 @ SY911 )
| ( ord_le1742111550et_val @ ( SV269 @ SY910 ) @ ( SV269 @ SY911 ) ) ) )
= $false )
| ( ( ord_le1742111550et_val @ ( SV269 @ SV24 ) @ SV352 )
= $true )
| ( ( ord_le1742111550et_val @ ( SV269 @ SV148 ) @ SV352 )
= $false )
| ( ( ord_less_eq_set_val @ SV24 @ SV148 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1917]) ).
thf(2085,plain,
! [SV353: set_val,SV149: set_val] :
( ( ( ~ ( ord_less_set_val @ SV149 @ SV353 ) )
= $false )
| ( ( ord_less_set_val @ SV149 @ SV353 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1918]) ).
thf(2086,plain,
! [SV353: set_val,SV149: set_val] :
( ( ( ~ ~ ( ~ ( ord_less_eq_set_val @ SV149 @ SV353 )
| ~ ( ( SV149 != SV353 ) ) ) )
= $false )
| ( ( ord_less_set_val @ SV149 @ SV353 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1918]) ).
thf(2087,plain,
! [SV353: set_val,SV149: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV149 @ SV353 ) )
= $true )
| ( ( ~ ( ( SV149 != SV353 ) ) )
= $true )
| ( ( ~ ( ~ ( ord_less_set_val @ SV149 @ SV353 )
| ~ ~ ( ~ ( ord_less_eq_set_val @ SV149 @ SV353 )
| ~ ( ( SV149 != SV353 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1919]) ).
thf(2088,plain,
! [SV354: set_val,SV150: set_val] :
( ( ( SV150 != SV354 )
= $false )
| ( ( SV150 = SV354 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1920]) ).
thf(2089,plain,
! [SV354: set_val,SV150: set_val] :
( ( ( ~ ~ ( ~ ( ord_less_eq_set_val @ SV150 @ SV354 )
| ~ ( ord_less_eq_set_val @ SV354 @ SV150 ) ) )
= $false )
| ( ( SV150 = SV354 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1920]) ).
thf(2090,plain,
! [SV354: set_val,SV150: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV150 @ SV354 ) )
= $true )
| ( ( ~ ( ord_less_eq_set_val @ SV354 @ SV150 ) )
= $true )
| ( ( ~ ( ( SV150 != SV354 )
| ~ ~ ( ~ ( ord_less_eq_set_val @ SV150 @ SV354 )
| ~ ( ord_less_eq_set_val @ SV354 @ SV150 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1921]) ).
thf(2091,plain,
! [SV272: set_val,SV355: set_val,SV27: set_set_val,SV151: set_val > set_set_val] :
( ( ( ! [SY737: set_val,SY738: set_val] :
( ~ ( ord_less_eq_set_val @ SY737 @ SY738 )
| ( ord_le1742111550et_val @ ( SV151 @ SY737 ) @ ( SV151 @ SY738 ) ) ) )
= $false )
| ( ( ord_le1742111550et_val @ SV27 @ ( SV151 @ SV355 ) )
= $true )
| ( ( ord_less_eq_set_val @ SV272 @ SV355 )
= $false )
| ( ( ord_le1742111550et_val @ SV27 @ ( SV151 @ SV272 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1922]) ).
thf(2092,plain,
! [SV356: set_val,SV152: set_val] :
( ( ( ~ ( ord_less_set_val @ SV152 @ SV356 ) )
= $false )
| ( ( ord_less_set_val @ SV152 @ SV356 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1923]) ).
thf(2093,plain,
! [SV356: set_val,SV152: set_val] :
( ( ( ~ ~ ( ~ ( ord_less_eq_set_val @ SV152 @ SV356 )
| ~ ~ ( ord_less_eq_set_val @ SV356 @ SV152 ) ) )
= $false )
| ( ( ord_less_set_val @ SV152 @ SV356 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1923]) ).
thf(2094,plain,
! [SV356: set_val,SV152: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV152 @ SV356 ) )
= $true )
| ( ( ~ ~ ( ord_less_eq_set_val @ SV356 @ SV152 ) )
= $true )
| ( ( ~ ( ~ ( ord_less_set_val @ SV152 @ SV356 )
| ~ ~ ( ~ ( ord_less_eq_set_val @ SV152 @ SV356 )
| ~ ~ ( ord_less_eq_set_val @ SV356 @ SV152 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1924]) ).
thf(2095,plain,
! [SV357: set_val,SV153: set_val] :
( ( ( ~ ( ord_less_set_val @ SV153 @ SV357 ) )
= $false )
| ( ( ord_less_set_val @ SV153 @ SV357 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1925]) ).
thf(2096,plain,
! [SV357: set_val,SV153: set_val] :
( ( ( ~ ~ ( ~ ( ord_less_eq_set_val @ SV153 @ SV357 )
| ~ ( ( SV153 != SV357 ) ) ) )
= $false )
| ( ( ord_less_set_val @ SV153 @ SV357 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1925]) ).
thf(2097,plain,
! [SV357: set_val,SV153: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV153 @ SV357 ) )
= $true )
| ( ( ~ ( ( SV153 != SV357 ) ) )
= $true )
| ( ( ~ ( ~ ( ord_less_set_val @ SV153 @ SV357 )
| ~ ~ ( ~ ( ord_less_eq_set_val @ SV153 @ SV357 )
| ~ ( ( SV153 != SV357 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1926]) ).
thf(2098,plain,
! [SV275: set_val,SV156: set_val,SV32: set_val] :
( ( ( ord_less_eq_set_val @ ( sup_sup_set_val @ SV32 @ SV156 ) @ SV275 )
= $true )
| ( ( ord_less_eq_set_val @ ( sup_sup_set_val @ SV32 @ SV156 ) @ SV275 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1927]) ).
thf(2099,plain,
! [SV156: set_val,SV275: set_val,SV32: set_val] :
( ( ( ~ ( ~ ( ord_less_eq_set_val @ SV32 @ SV275 )
| ~ ( ord_less_eq_set_val @ SV156 @ SV275 ) ) )
= $true )
| ( ( ord_less_eq_set_val @ ( sup_sup_set_val @ SV32 @ SV156 ) @ SV275 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1928]) ).
thf(2100,plain,
! [SV156: set_val,SV275: set_val,SV32: set_val] :
( ( ( ord_less_eq_set_val @ SV32 @ SV275 )
= $false )
| ( ( ~ ( ord_less_eq_set_val @ SV156 @ SV275 ) )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_set_val @ ( sup_sup_set_val @ SV32 @ SV156 ) @ SV275 )
| ~ ~ ( ~ ( ord_less_eq_set_val @ SV32 @ SV275 )
| ~ ( ord_less_eq_set_val @ SV156 @ SV275 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1929]) ).
thf(2101,plain,
! [SV276: set_val,SV358: set_val,SV33: val,SV157: set_val > val] :
( ( ( ! [SY744: set_val,SY745: set_val] :
( ~ ( ord_less_eq_set_val @ SY744 @ SY745 )
| ( ord_less_eq_val @ ( SV157 @ SY744 ) @ ( SV157 @ SY745 ) ) ) )
= $false )
| ( ( ord_less_eq_val @ SV33 @ ( SV157 @ SV358 ) )
= $true )
| ( ( ord_less_eq_set_val @ SV276 @ SV358 )
= $false )
| ( ( ord_less_eq_val @ SV33 @ ( SV157 @ SV276 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1930]) ).
thf(2102,plain,
! [SV277: set_val,SV159: set_val,SV35: set_val] :
( ( ( ord_less_eq_set_val @ ( sup_sup_set_val @ SV35 @ SV159 ) @ SV277 )
= $true )
| ( ( ord_less_eq_set_val @ ( sup_sup_set_val @ SV35 @ SV159 ) @ SV277 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1931]) ).
thf(2103,plain,
! [SV159: set_val,SV277: set_val,SV35: set_val] :
( ( ( ~ ( ~ ( ord_less_eq_set_val @ SV35 @ SV277 )
| ~ ( ord_less_eq_set_val @ SV159 @ SV277 ) ) )
= $true )
| ( ( ord_less_eq_set_val @ ( sup_sup_set_val @ SV35 @ SV159 ) @ SV277 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1932]) ).
thf(2104,plain,
! [SV159: set_val,SV277: set_val,SV35: set_val] :
( ( ( ord_less_eq_set_val @ SV35 @ SV277 )
= $false )
| ( ( ~ ( ord_less_eq_set_val @ SV159 @ SV277 ) )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_set_val @ ( sup_sup_set_val @ SV35 @ SV159 ) @ SV277 )
| ~ ~ ( ~ ( ord_less_eq_set_val @ SV35 @ SV277 )
| ~ ( ord_less_eq_set_val @ SV159 @ SV277 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1933]) ).
thf(2105,plain,
! [SV160: set_val,SV359: set_set_val,SV36: set_val,SV278: set_val > set_set_val] :
( ( ( ! [SY919: set_val,SY920: set_val] :
( ~ ( ord_less_eq_set_val @ SY919 @ SY920 )
| ( ord_le1742111550et_val @ ( SV278 @ SY919 ) @ ( SV278 @ SY920 ) ) ) )
= $false )
| ( ( ord_le1742111550et_val @ ( SV278 @ SV36 ) @ SV359 )
= $true )
| ( ( ( SV278 @ SV160 )
= SV359 )
= $false )
| ( ( ord_less_eq_set_val @ SV36 @ SV160 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1934]) ).
thf(2106,plain,
! [SV162: val,SV360: set_val,SV38: val,SV279: val > set_val] :
( ( ( ! [SY922: val,SY923: val] :
( ~ ( ord_less_eq_val @ SY922 @ SY923 )
| ( ord_less_eq_set_val @ ( SV279 @ SY922 ) @ ( SV279 @ SY923 ) ) ) )
= $false )
| ( ( ord_less_eq_set_val @ ( SV279 @ SV38 ) @ SV360 )
= $true )
| ( ( ( SV279 @ SV162 )
= SV360 )
= $false )
| ( ( ord_less_eq_val @ SV38 @ SV162 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1935]) ).
thf(2107,plain,
! [SV166: set_val,SV361: set_val,SV42: set_val,SV282: set_val > set_val] :
( ( ( ! [SY925: set_val,SY926: set_val] :
( ~ ( ord_less_eq_set_val @ SY925 @ SY926 )
| ( ord_less_eq_set_val @ ( SV282 @ SY925 ) @ ( SV282 @ SY926 ) ) ) )
= $false )
| ( ( ord_less_eq_set_val @ ( SV282 @ SV42 ) @ SV361 )
= $true )
| ( ( ord_less_eq_set_val @ ( SV282 @ SV166 ) @ SV361 )
= $false )
| ( ( ord_less_eq_set_val @ SV42 @ SV166 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1936]) ).
thf(2108,plain,
! [SV362: set_val,SV167: set_val] :
( ( ( SV167 != SV362 )
= $false )
| ( ( SV167 = SV362 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1937]) ).
thf(2109,plain,
! [SV362: set_val,SV167: set_val] :
( ( ( ~ ~ ( ~ ( ord_less_eq_set_val @ SV167 @ SV362 )
| ~ ( ord_less_eq_set_val @ SV362 @ SV167 ) ) )
= $false )
| ( ( SV167 = SV362 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1937]) ).
thf(2110,plain,
! [SV362: set_val,SV167: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV167 @ SV362 ) )
= $true )
| ( ( ~ ( ord_less_eq_set_val @ SV362 @ SV167 ) )
= $true )
| ( ( ~ ( ( SV167 != SV362 )
| ~ ~ ( ~ ( ord_less_eq_set_val @ SV167 @ SV362 )
| ~ ( ord_less_eq_set_val @ SV362 @ SV167 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1938]) ).
thf(2111,plain,
! [SV168: val > $o,SV400: val,SV44: val > $o] :
( ( ( ~ ( SV44 @ SV400 )
| ( SV168 @ SV400 ) )
= $true )
| ( ( ord_less_eq_set_val @ ( collect_val @ SV44 ) @ ( collect_val @ SV168 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1940]) ).
thf(2112,plain,
! [SV168: val > $o,SV44: val > $o] :
( ( ( ~ ( ord_less_eq_set_val @ ( collect_val @ SV44 ) @ ( collect_val @ SV168 ) )
| ~ ! [SY763: val] :
( ~ ( SV44 @ SY763 )
| ( SV168 @ SY763 ) ) )
= $false )
| ( ( SV44 @ ( sK10_SY763 @ SV168 @ SV44 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1941]) ).
thf(2113,plain,
! [SV168: val > $o,SV44: val > $o] :
( ( ( ~ ( ord_less_eq_set_val @ ( collect_val @ SV44 ) @ ( collect_val @ SV168 ) ) )
= $false )
| ( ( SV168 @ ( sK10_SY763 @ SV168 @ SV44 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1942]) ).
thf(2114,plain,
! [SV168: val > $o,SV44: val > $o] :
( ( ( ~ ! [SY763: val] :
( ~ ( SV44 @ SY763 )
| ( SV168 @ SY763 ) ) )
= $false )
| ( ( SV168 @ ( sK10_SY763 @ SV168 @ SV44 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1942]) ).
thf(2115,plain,
! [SV284: set_val,SV363: set_val,SV45: set_set_val,SV169: set_val > set_set_val] :
( ( ( ! [SY766: set_val,SY767: set_val] :
( ~ ( ord_less_eq_set_val @ SY766 @ SY767 )
| ( ord_le1742111550et_val @ ( SV169 @ SY766 ) @ ( SV169 @ SY767 ) ) ) )
= $false )
| ( ( ord_le1742111550et_val @ SV45 @ ( SV169 @ SV363 ) )
= $true )
| ( ( ord_less_eq_set_val @ SV284 @ SV363 )
= $false )
| ( ( SV45
= ( SV169 @ SV284 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1943]) ).
thf(2116,plain,
! [SV170: set_set_val,SV364: set_val,SV46: set_set_val,SV285: set_set_val > set_val] :
( ( ( ! [SY931: set_set_val,SY932: set_set_val] :
( ~ ( ord_le1742111550et_val @ SY931 @ SY932 )
| ( ord_less_eq_set_val @ ( SV285 @ SY931 ) @ ( SV285 @ SY932 ) ) ) )
= $false )
| ( ( ord_less_eq_set_val @ ( SV285 @ SV46 ) @ SV364 )
= $true )
| ( ( ord_less_eq_set_val @ ( SV285 @ SV170 ) @ SV364 )
= $false )
| ( ( ord_le1742111550et_val @ SV46 @ SV170 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1944]) ).
thf(2117,plain,
! [SV172: set_val,SV48: set_val,SV365: set_val,SV286: set_val] :
( ( ( SV286 = SV365 )
= $false )
| ( ( ord_less_eq_set_val @ SV48 @ SV365 )
= $true )
| ( ( ord_less_eq_set_val @ SV172 @ SV286 )
= $false )
| ( ( SV48 = SV172 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1945]) ).
thf(2118,plain,
! [SV287: set_set_val,SV366: set_set_val,SV49: set_val,SV173: set_set_val > set_val] :
( ( ( ! [SY776: set_set_val,SY777: set_set_val] :
( ~ ( ord_le1742111550et_val @ SY776 @ SY777 )
| ( ord_less_eq_set_val @ ( SV173 @ SY776 ) @ ( SV173 @ SY777 ) ) ) )
= $false )
| ( ( ord_less_eq_set_val @ SV49 @ ( SV173 @ SV366 ) )
= $true )
| ( ( ord_le1742111550et_val @ SV287 @ SV366 )
= $false )
| ( ( SV49
= ( SV173 @ SV287 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1946]) ).
thf(2119,plain,
! [SV367: set_val,SV175: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV175 @ SV367 ) )
= $false )
| ( ( ord_less_eq_set_val @ SV175 @ SV367 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1947]) ).
thf(2120,plain,
! [SV367: set_val,SV175: set_val] :
( ( ( ~ ! [SY1014: val] :
( ~ ( member_val @ SY1014 @ SV175 )
| ( member_val @ SY1014 @ SV367 ) ) )
= $false )
| ( ( ord_less_eq_set_val @ SV175 @ SV367 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1947]) ).
thf(2121,plain,
! [SV175: set_val,SV367: set_val] :
( ( ( ~ ( member_val @ ( sK17_SY1014 @ SV367 @ SV175 ) @ SV175 ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_val @ SV175 @ SV367 )
| ~ ! [SY1014: val] :
( ~ ( member_val @ SY1014 @ SV175 )
| ( member_val @ SY1014 @ SV367 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1948]) ).
thf(2122,plain,
! [SV175: set_val,SV367: set_val] :
( ( ( member_val @ ( sK17_SY1014 @ SV367 @ SV175 ) @ SV367 )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_val @ SV175 @ SV367 )
| ~ ! [SY1014: val] :
( ~ ( member_val @ SY1014 @ SV175 )
| ( member_val @ SY1014 @ SV367 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1948]) ).
thf(2123,plain,
! [SV177: val,SV368: set_val,SV53: val,SV290: val > set_val] :
( ( ( ! [SY939: val,SY940: val] :
( ~ ( ord_less_eq_val @ SY939 @ SY940 )
| ( ord_less_eq_set_val @ ( SV290 @ SY939 ) @ ( SV290 @ SY940 ) ) ) )
= $false )
| ( ( ord_less_eq_set_val @ ( SV290 @ SV53 ) @ SV368 )
= $true )
| ( ( ord_less_eq_set_val @ ( SV290 @ SV177 ) @ SV368 )
= $false )
| ( ( ord_less_eq_val @ SV53 @ SV177 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1949]) ).
thf(2124,plain,
! [SV370: set_val,SV183: set_val] :
( ( ( SV183 != SV370 )
= $false )
| ( ( SV183 = SV370 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1954]) ).
thf(2125,plain,
! [SV370: set_val,SV183: set_val] :
( ( ( ~ ~ ( ~ ( ord_less_eq_set_val @ SV183 @ SV370 )
| ~ ( ord_less_eq_set_val @ SV370 @ SV183 ) ) )
= $false )
| ( ( SV183 = SV370 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1954]) ).
thf(2126,plain,
! [SV370: set_val,SV183: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV183 @ SV370 ) )
= $true )
| ( ( ~ ( ord_less_eq_set_val @ SV370 @ SV183 ) )
= $true )
| ( ( ~ ( ( SV183 != SV370 )
| ~ ~ ( ~ ( ord_less_eq_set_val @ SV183 @ SV370 )
| ~ ( ord_less_eq_set_val @ SV370 @ SV183 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1955]) ).
thf(2127,plain,
! [SV184: set_val,SV371: set_val,SV60: set_val,SV295: set_val > set_val] :
( ( ( ! [SY944: set_val,SY945: set_val] :
( ~ ( ord_less_eq_set_val @ SY944 @ SY945 )
| ( ord_less_eq_set_val @ ( SV295 @ SY944 ) @ ( SV295 @ SY945 ) ) ) )
= $false )
| ( ( ord_less_set_val @ ( SV295 @ SV60 ) @ SV371 )
= $true )
| ( ( ord_less_set_val @ ( SV295 @ SV184 ) @ SV371 )
= $false )
| ( ( ord_less_eq_set_val @ SV60 @ SV184 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1956]) ).
thf(2128,plain,
! [SV185: set_val,SV61: set_val] :
( ( ( ~ ~ ( ord_less_set_val @ SV61 @ SV185 )
| ( SV61 != SV185 ) )
= $false )
| ( ( ord_less_set_val @ SV61 @ SV185 )
= $true )
| ( ( ord_less_eq_set_val @ SV61 @ SV185 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1957]) ).
thf(2129,plain,
! [SV185: set_val,SV61: set_val] :
( ( ( ~ ~ ( ord_less_set_val @ SV61 @ SV185 ) )
= $false )
| ( ( SV61 = SV185 )
= $false )
| ( ( ord_less_eq_set_val @ SV61 @ SV185 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1958]) ).
thf(2130,plain,
! [SV185: set_val,SV61: set_val] :
( ( ( SV61 != SV185 )
= $false )
| ( ( SV61 = SV185 )
= $false )
| ( ( ord_less_eq_set_val @ SV61 @ SV185 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1958]) ).
thf(2131,plain,
! [SV188: set_val,SV372: val,SV64: set_val,SV297: set_val > val] :
( ( ( ! [SY947: set_val,SY948: set_val] :
( ~ ( ord_less_eq_set_val @ SY947 @ SY948 )
| ( ord_less_eq_val @ ( SV297 @ SY947 ) @ ( SV297 @ SY948 ) ) ) )
= $false )
| ( ( ord_less_eq_val @ ( SV297 @ SV64 ) @ SV372 )
= $true )
| ( ( ( SV297 @ SV188 )
= SV372 )
= $false )
| ( ( ord_less_eq_set_val @ SV64 @ SV188 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1959]) ).
thf(2132,plain,
! [SV190: set_val,SV373: set_val,SV66: set_val,SV298: set_val > set_val] :
( ( ( ! [SY950: set_val,SY951: set_val] :
( ~ ( ord_less_eq_set_val @ SY950 @ SY951 )
| ( ord_less_eq_set_val @ ( SV298 @ SY950 ) @ ( SV298 @ SY951 ) ) ) )
= $false )
| ( ( ord_less_eq_set_val @ ( SV298 @ SV66 ) @ SV373 )
= $true )
| ( ( ( SV298 @ SV190 )
= SV373 )
= $false )
| ( ( ord_less_eq_set_val @ SV66 @ SV190 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1960]) ).
thf(2133,plain,
! [SV374: $o > set_val,SV194: $o > set_val] :
( ( ( ~ ( ord_le994826475et_val @ SV194 @ SV374 ) )
= $false )
| ( ( ord_le994826475et_val @ SV194 @ SV374 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1961]) ).
thf(2134,plain,
! [SV374: $o > set_val,SV194: $o > set_val] :
( ( ( ~ ~ ( ~ ( ord_less_eq_set_val @ ( SV194 @ $false ) @ ( SV374 @ $false ) )
| ~ ( ord_less_eq_set_val @ ( SV194 @ $true ) @ ( SV374 @ $true ) ) ) )
= $false )
| ( ( ord_le994826475et_val @ SV194 @ SV374 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1961]) ).
thf(2135,plain,
! [SV374: $o > set_val,SV194: $o > set_val] :
( ( ( ~ ( ord_less_eq_set_val @ ( SV194 @ $false ) @ ( SV374 @ $false ) ) )
= $true )
| ( ( ~ ( ord_less_eq_set_val @ ( SV194 @ $true ) @ ( SV374 @ $true ) ) )
= $true )
| ( ( ~ ( ~ ( ord_le994826475et_val @ SV194 @ SV374 )
| ~ ~ ( ~ ( ord_less_eq_set_val @ ( SV194 @ $false ) @ ( SV374 @ $false ) )
| ~ ( ord_less_eq_set_val @ ( SV194 @ $true ) @ ( SV374 @ $true ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1962]) ).
thf(2136,plain,
! [SV75: set_val,SV199: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV199 @ SV75 ) )
= $false )
| ( ( ord_less_eq_set_val @ SV199 @ SV75 )
= $false )
| ( ( ord_less_eq_set_val @ SV75 @ SV199 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1963]) ).
thf(2137,plain,
! [SV75: set_val,SV199: set_val] :
( ( ( SV199 != SV75 )
= $false )
| ( ( ord_less_eq_set_val @ SV199 @ SV75 )
= $false )
| ( ( ord_less_eq_set_val @ SV75 @ SV199 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1963]) ).
thf(2138,plain,
! [SV75: set_val,SV199: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV199 @ SV75 ) )
= $false )
| ( ( SV199 = SV75 )
= $false )
| ( ( ord_less_eq_set_val @ SV75 @ SV199 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1964]) ).
thf(2139,plain,
! [SV75: set_val,SV199: set_val] :
( ( ( SV199 != SV75 )
= $false )
| ( ( SV199 = SV75 )
= $false )
| ( ( ord_less_eq_set_val @ SV75 @ SV199 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1964]) ).
thf(2140,plain,
! [SV375: set_val,SV307: set_val,SV204: set_val,SV80: set_val] :
( ( ( ( set_or1554624499et_val @ SV80 @ SV204 )
!= ( set_or1554624499et_val @ SV307 @ SV375 ) )
= $false )
| ( ( ( set_or1554624499et_val @ SV80 @ SV204 )
= ( set_or1554624499et_val @ SV307 @ SV375 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1965]) ).
thf(2141,plain,
! [SV375: set_val,SV204: set_val,SV307: set_val,SV80: set_val] :
( ( ( ~ ( ~ ( ( SV80 != SV307 )
| ( SV204 != SV375 ) )
| ~ ( ~ ~ ( ord_less_eq_set_val @ SV80 @ SV204 )
| ~ ~ ( ord_less_eq_set_val @ SV307 @ SV375 ) ) ) )
= $false )
| ( ( ( set_or1554624499et_val @ SV80 @ SV204 )
= ( set_or1554624499et_val @ SV307 @ SV375 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1965]) ).
thf(2142,plain,
! [SV375: set_val,SV204: set_val,SV307: set_val,SV80: set_val] :
( ( ( ( SV80 != SV307 )
| ( SV204 != SV375 ) )
= $true )
| ( ( ~ ( ( ( set_or1554624499et_val @ SV80 @ SV204 )
!= ( set_or1554624499et_val @ SV307 @ SV375 ) )
| ~ ( ~ ( ( SV80 != SV307 )
| ( SV204 != SV375 ) )
| ~ ( ~ ~ ( ord_less_eq_set_val @ SV80 @ SV204 )
| ~ ~ ( ord_less_eq_set_val @ SV307 @ SV375 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1966]) ).
thf(2143,plain,
! [SV375: set_val,SV307: set_val,SV204: set_val,SV80: set_val] :
( ( ( ~ ~ ( ord_less_eq_set_val @ SV80 @ SV204 )
| ~ ~ ( ord_less_eq_set_val @ SV307 @ SV375 ) )
= $true )
| ( ( ~ ( ( ( set_or1554624499et_val @ SV80 @ SV204 )
!= ( set_or1554624499et_val @ SV307 @ SV375 ) )
| ~ ( ~ ( ( SV80 != SV307 )
| ( SV204 != SV375 ) )
| ~ ( ~ ~ ( ord_less_eq_set_val @ SV80 @ SV204 )
| ~ ~ ( ord_less_eq_set_val @ SV307 @ SV375 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1967]) ).
thf(2144,plain,
! [SV376: set_val,SV206: set_val] :
( ( ( ~ ( ord_less_set_val @ SV206 @ SV376 ) )
= $false )
| ( ( ord_less_set_val @ SV206 @ SV376 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1968]) ).
thf(2145,plain,
! [SV376: set_val,SV206: set_val] :
( ( ( ~ ~ ( ~ ( ord_less_eq_set_val @ SV206 @ SV376 )
| ~ ( ( SV206 != SV376 ) ) ) )
= $false )
| ( ( ord_less_set_val @ SV206 @ SV376 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1968]) ).
thf(2146,plain,
! [SV376: set_val,SV206: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV206 @ SV376 ) )
= $true )
| ( ( ~ ( ( SV206 != SV376 ) ) )
= $true )
| ( ( ~ ( ~ ( ord_less_set_val @ SV206 @ SV376 )
| ~ ~ ( ~ ( ord_less_eq_set_val @ SV206 @ SV376 )
| ~ ( ( SV206 != SV376 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1969]) ).
thf(2147,plain,
! [SV310: val,SV377: val,SV83: set_val,SV207: val > set_val] :
( ( ( ! [SY822: val,SY823: val] :
( ~ ( ord_less_eq_val @ SY822 @ SY823 )
| ( ord_less_eq_set_val @ ( SV207 @ SY822 ) @ ( SV207 @ SY823 ) ) ) )
= $false )
| ( ( ord_less_eq_set_val @ SV83 @ ( SV207 @ SV377 ) )
= $true )
| ( ( ord_less_eq_val @ SV310 @ SV377 )
= $false )
| ( ( SV83
= ( SV207 @ SV310 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1970]) ).
thf(2148,plain,
! [SV378: set_val,SV211: set_val] :
( ( ( ~ ( ord_less_set_val @ SV211 @ SV378 ) )
= $false )
| ( ( ord_less_set_val @ SV211 @ SV378 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1971]) ).
thf(2149,plain,
! [SV378: set_val,SV211: set_val] :
( ( ( ~ ~ ( ~ ( ord_less_eq_set_val @ SV211 @ SV378 )
| ~ ~ ( ord_less_eq_set_val @ SV378 @ SV211 ) ) )
= $false )
| ( ( ord_less_set_val @ SV211 @ SV378 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1971]) ).
thf(2150,plain,
! [SV378: set_val,SV211: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV211 @ SV378 ) )
= $true )
| ( ( ~ ~ ( ord_less_eq_set_val @ SV378 @ SV211 ) )
= $true )
| ( ( ~ ( ~ ( ord_less_set_val @ SV211 @ SV378 )
| ~ ~ ( ~ ( ord_less_eq_set_val @ SV211 @ SV378 )
| ~ ~ ( ord_less_eq_set_val @ SV378 @ SV211 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1972]) ).
thf(2151,plain,
! [SV315: set_set_val,SV379: set_set_val,SV90: set_val,SV214: set_set_val > set_val] :
( ( ( ! [SY830: set_set_val,SY831: set_set_val] :
( ~ ( ord_le1742111550et_val @ SY830 @ SY831 )
| ( ord_less_eq_set_val @ ( SV214 @ SY830 ) @ ( SV214 @ SY831 ) ) ) )
= $false )
| ( ( ord_less_eq_set_val @ SV90 @ ( SV214 @ SV379 ) )
= $true )
| ( ( ord_le1742111550et_val @ SV315 @ SV379 )
= $false )
| ( ( ord_less_eq_set_val @ SV90 @ ( SV214 @ SV315 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1973]) ).
thf(2152,plain,
! [SV317: set_val,SV380: set_val,SV92: set_val,SV216: set_val > set_val] :
( ( ( ! [SY835: set_val,SY836: set_val] :
( ~ ( ord_less_eq_set_val @ SY835 @ SY836 )
| ( ord_less_eq_set_val @ ( SV216 @ SY835 ) @ ( SV216 @ SY836 ) ) ) )
= $false )
| ( ( ord_less_set_val @ SV92 @ ( SV216 @ SV380 ) )
= $true )
| ( ( ord_less_eq_set_val @ SV317 @ SV380 )
= $false )
| ( ( ord_less_set_val @ SV92 @ ( SV216 @ SV317 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1974]) ).
thf(2153,plain,
! [SV217: set_val,SV93: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV93 @ SV217 )
| ( SV93 != SV217 ) )
= $false )
| ( ( ord_less_eq_set_val @ SV93 @ SV217 )
= $false )
| ( ( ord_less_set_val @ SV93 @ SV217 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1975]) ).
thf(2154,plain,
! [SV217: set_val,SV93: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV93 @ SV217 )
| ( SV93 != SV217 ) )
= $false )
| ( ( SV93 = SV217 )
= $false )
| ( ( ord_less_set_val @ SV93 @ SV217 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1976]) ).
thf(2155,plain,
! [SV381: set_val,SV222: set_val] :
( ( ( SV222 != SV381 )
= $false )
| ( ( SV222 = SV381 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1977]) ).
thf(2156,plain,
! [SV222: set_val,SV381: set_val] :
( ( ( ~ ~ ( ~ ( ord_less_eq_set_val @ SV381 @ SV222 )
| ~ ( ord_less_eq_set_val @ SV222 @ SV381 ) ) )
= $false )
| ( ( SV222 = SV381 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1977]) ).
thf(2157,plain,
! [SV222: set_val,SV381: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV381 @ SV222 ) )
= $true )
| ( ( ~ ( ord_less_eq_set_val @ SV222 @ SV381 ) )
= $true )
| ( ( ~ ( ( SV222 != SV381 )
| ~ ~ ( ~ ( ord_less_eq_set_val @ SV381 @ SV222 )
| ~ ( ord_less_eq_set_val @ SV222 @ SV381 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1978]) ).
thf(2158,plain,
! [SV321: set_val,SV223: set_val,SV397: set_val,SV382: set_val,SV99: $o] :
( ( ( ~ ( ~ ~ SV99
| ( ord_less_eq_set_val @ SV382 @ SV397 ) ) )
= $true )
| ( ( ord_less_eq_set_val @ ( if_set_val @ SV99 @ SV223 @ SV382 ) @ ( if_set_val @ SV99 @ SV321 @ SV397 ) )
= $true )
| ( SV99 = $true ) ),
inference(extcnf_or_pos,[status(thm)],[1979]) ).
thf(2159,plain,
! [SV321: set_val,SV223: set_val,SV397: set_val,SV382: set_val,SV99: $o] :
( ( ( ~ ~ SV99
| ( ord_less_eq_set_val @ SV382 @ SV397 ) )
= $false )
| ( ( ord_less_eq_set_val @ ( if_set_val @ SV99 @ SV223 @ SV382 ) @ ( if_set_val @ SV99 @ SV321 @ SV397 ) )
= $true )
| ( ( ord_less_eq_set_val @ SV223 @ SV321 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1980]) ).
thf(2160,plain,
! [SV322: set_val,SV224: set_val,SV398: set_val,SV383: set_val] :
( ( ( ~ ( ~ ~ $true
| ( ord_less_eq_set_val @ SV383 @ SV398 ) ) )
= $true )
| ( ( ord_less_eq_set_val @ ( if_set_val @ $true @ SV224 @ SV383 ) @ ( if_set_val @ $true @ SV322 @ SV398 ) )
= $true )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[1981]) ).
thf(2161,plain,
! [SV322: set_val,SV224: set_val,SV398: set_val,SV383: set_val] :
( ( ( ~ ~ $true
| ( ord_less_eq_set_val @ SV383 @ SV398 ) )
= $false )
| ( ( ord_less_eq_set_val @ ( if_set_val @ $true @ SV224 @ SV383 ) @ ( if_set_val @ $true @ SV322 @ SV398 ) )
= $true )
| ( ( ord_less_eq_set_val @ SV224 @ SV322 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1982]) ).
thf(2162,plain,
! [SV323: set_val,SV225: set_val,SV399: set_val,SV384: set_val] :
( ( ( ~ ( ~ ~ $false
| ( ord_less_eq_set_val @ SV384 @ SV399 ) ) )
= $true )
| ( ( ord_less_eq_set_val @ ( if_set_val @ $false @ SV225 @ SV384 ) @ ( if_set_val @ $false @ SV323 @ SV399 ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_or_pos,[status(thm)],[1983]) ).
thf(2163,plain,
! [SV323: set_val,SV225: set_val,SV399: set_val,SV384: set_val] :
( ( ( ~ ~ $false
| ( ord_less_eq_set_val @ SV384 @ SV399 ) )
= $false )
| ( ( ord_less_eq_set_val @ ( if_set_val @ $false @ SV225 @ SV384 ) @ ( if_set_val @ $false @ SV323 @ SV399 ) )
= $true )
| ( ( ord_less_eq_set_val @ SV225 @ SV323 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1984]) ).
thf(2164,plain,
! [SV385: set_val,SV226: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV226 @ SV385 ) )
= $false )
| ( ( ord_less_eq_set_val @ SV226 @ SV385 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1985]) ).
thf(2165,plain,
! [SV385: set_val,SV226: set_val] :
( ( ( ~ ! [SY1033: val] :
( ~ ( member_val @ SY1033 @ SV226 )
| ( member_val @ SY1033 @ SV385 ) ) )
= $false )
| ( ( ord_less_eq_set_val @ SV226 @ SV385 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1985]) ).
thf(2166,plain,
! [SV226: set_val,SV385: set_val] :
( ( ( ~ ( member_val @ ( sK18_SY1033 @ SV385 @ SV226 ) @ SV226 ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_val @ SV226 @ SV385 )
| ~ ! [SY1033: val] :
( ~ ( member_val @ SY1033 @ SV226 )
| ( member_val @ SY1033 @ SV385 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1986]) ).
thf(2167,plain,
! [SV226: set_val,SV385: set_val] :
( ( ( member_val @ ( sK18_SY1033 @ SV385 @ SV226 ) @ SV385 )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_val @ SV226 @ SV385 )
| ~ ! [SY1033: val] :
( ~ ( member_val @ SY1033 @ SV226 )
| ( member_val @ SY1033 @ SV385 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1986]) ).
thf(2168,plain,
! [SV325: set_val,SV386: set_val,SV101: set_val,SV227: set_val > set_val] :
( ( ( ! [SY854: set_val,SY855: set_val] :
( ~ ( ord_less_eq_set_val @ SY854 @ SY855 )
| ( ord_less_eq_set_val @ ( SV227 @ SY854 ) @ ( SV227 @ SY855 ) ) ) )
= $false )
| ( ( ord_less_eq_set_val @ SV101 @ ( SV227 @ SV386 ) )
= $true )
| ( ( ord_less_eq_set_val @ SV325 @ SV386 )
= $false )
| ( ( ord_less_eq_set_val @ SV101 @ ( SV227 @ SV325 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1987]) ).
thf(2169,plain,
! [SV232: set_val > set_val,SV401: set_val] :
( ( ( ! [SY1050: set_val] :
( ~ ( ord_less_eq_set_val @ SV401 @ SY1050 )
| ( ord_less_eq_set_val @ ( SV232 @ SY1050 ) @ ( SV232 @ SV401 ) ) ) )
= $true )
| ( ( order_1719375026et_val @ SV232 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1989]) ).
thf(2170,plain,
! [SV232: set_val > set_val] :
( ( ( ord_less_eq_set_val @ ( sK12_SY856 @ SV232 ) @ ( sK13_SY1047 @ SV232 ) )
= $true )
| ( ( ~ ( ~ ( order_1719375026et_val @ SV232 )
| ~ ! [SY856: set_val,SY857: set_val] :
( ~ ( ord_less_eq_set_val @ SY856 @ SY857 )
| ( ord_less_eq_set_val @ ( SV232 @ SY857 ) @ ( SV232 @ SY856 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1990]) ).
thf(2171,plain,
! [SV232: set_val > set_val] :
( ( ( ~ ( order_1719375026et_val @ SV232 )
| ~ ! [SY856: set_val,SY857: set_val] :
( ~ ( ord_less_eq_set_val @ SY856 @ SY857 )
| ( ord_less_eq_set_val @ ( SV232 @ SY857 ) @ ( SV232 @ SY856 ) ) ) )
= $false )
| ( ( ord_less_eq_set_val @ ( SV232 @ ( sK13_SY1047 @ SV232 ) ) @ ( SV232 @ ( sK12_SY856 @ SV232 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1991]) ).
thf(2172,plain,
! [SV326: set_val,SV387: set_val,SV108: val,SV234: set_val > val] :
( ( ( ! [SY860: set_val,SY861: set_val] :
( ~ ( ord_less_eq_set_val @ SY860 @ SY861 )
| ( ord_less_eq_val @ ( SV234 @ SY860 ) @ ( SV234 @ SY861 ) ) ) )
= $false )
| ( ( ord_less_eq_val @ SV108 @ ( SV234 @ SV387 ) )
= $true )
| ( ( ord_less_eq_set_val @ SV326 @ SV387 )
= $false )
| ( ( SV108
= ( SV234 @ SV326 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1992]) ).
thf(2173,plain,
! [SV235: set_val,SV388: val,SV109: set_val,SV327: set_val > val] :
( ( ( ! [SY976: set_val,SY977: set_val] :
( ~ ( ord_less_eq_set_val @ SY976 @ SY977 )
| ( ord_less_eq_val @ ( SV327 @ SY976 ) @ ( SV327 @ SY977 ) ) ) )
= $false )
| ( ( ord_less_eq_val @ ( SV327 @ SV109 ) @ SV388 )
= $true )
| ( ( ord_less_eq_val @ ( SV327 @ SV235 ) @ SV388 )
= $false )
| ( ( ord_less_eq_set_val @ SV109 @ SV235 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1993]) ).
thf(2174,plain,
! [SV236: set_set_val,SV389: set_val,SV110: set_set_val,SV328: set_set_val > set_val] :
( ( ( ! [SY979: set_set_val,SY980: set_set_val] :
( ~ ( ord_le1742111550et_val @ SY979 @ SY980 )
| ( ord_less_eq_set_val @ ( SV328 @ SY979 ) @ ( SV328 @ SY980 ) ) ) )
= $false )
| ( ( ord_less_eq_set_val @ ( SV328 @ SV110 ) @ SV389 )
= $true )
| ( ( ( SV328 @ SV236 )
= SV389 )
= $false )
| ( ( ord_le1742111550et_val @ SV110 @ SV236 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1994]) ).
thf(2175,plain,
! [SV238: set_val,SV330: set_val,SV390: set_val,SV112: $o] :
( ( ( ~ ~ SV112
| ( ord_less_eq_set_val @ SV390 @ SV330 ) )
= $false )
| ( ( ord_less_eq_set_val @ ( if_set_val @ SV112 @ SV238 @ SV390 ) @ SV330 )
= $true )
| ( SV112 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1995]) ).
thf(2176,plain,
! [SV330: set_val,SV390: set_val,SV238: set_val,SV112: $o] :
( ( ( ~ ~ SV112 )
= $false )
| ( ( ord_less_eq_set_val @ ( if_set_val @ SV112 @ SV238 @ SV390 ) @ SV330 )
= $true )
| ( ( ord_less_eq_set_val @ SV238 @ SV330 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1996]) ).
thf(2177,plain,
! [SV238: set_val,SV112: $o,SV330: set_val,SV390: set_val] :
( ( ( ord_less_eq_set_val @ SV390 @ SV330 )
= $false )
| ( ( ord_less_eq_set_val @ ( if_set_val @ SV112 @ SV238 @ SV390 ) @ SV330 )
= $true )
| ( ( ord_less_eq_set_val @ SV238 @ SV330 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1996]) ).
thf(2178,plain,
! [SV239: set_val,SV331: set_val,SV391: set_val] :
( ( ( ~ ~ $true
| ( ord_less_eq_set_val @ SV391 @ SV331 ) )
= $false )
| ( ( ord_less_eq_set_val @ ( if_set_val @ $true @ SV239 @ SV391 ) @ SV331 )
= $true )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1997]) ).
thf(2179,plain,
! [SV331: set_val,SV391: set_val,SV239: set_val] :
( ( ( ~ ~ $true )
= $false )
| ( ( ord_less_eq_set_val @ ( if_set_val @ $true @ SV239 @ SV391 ) @ SV331 )
= $true )
| ( ( ord_less_eq_set_val @ SV239 @ SV331 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1998]) ).
thf(2180,plain,
! [SV239: set_val,SV331: set_val,SV391: set_val] :
( ( ( ord_less_eq_set_val @ SV391 @ SV331 )
= $false )
| ( ( ord_less_eq_set_val @ ( if_set_val @ $true @ SV239 @ SV391 ) @ SV331 )
= $true )
| ( ( ord_less_eq_set_val @ SV239 @ SV331 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1998]) ).
thf(2181,plain,
! [SV240: set_val,SV332: set_val,SV392: set_val] :
( ( ( ~ ~ $false
| ( ord_less_eq_set_val @ SV392 @ SV332 ) )
= $false )
| ( ( ord_less_eq_set_val @ ( if_set_val @ $false @ SV240 @ SV392 ) @ SV332 )
= $true )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1999]) ).
thf(2182,plain,
! [SV332: set_val,SV392: set_val,SV240: set_val] :
( ( ( ~ ~ $false )
= $false )
| ( ( ord_less_eq_set_val @ ( if_set_val @ $false @ SV240 @ SV392 ) @ SV332 )
= $true )
| ( ( ord_less_eq_set_val @ SV240 @ SV332 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2000]) ).
thf(2183,plain,
! [SV240: set_val,SV332: set_val,SV392: set_val] :
( ( ( ord_less_eq_set_val @ SV392 @ SV332 )
= $false )
| ( ( ord_less_eq_set_val @ ( if_set_val @ $false @ SV240 @ SV392 ) @ SV332 )
= $true )
| ( ( ord_less_eq_set_val @ SV240 @ SV332 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2000]) ).
thf(2184,plain,
! [SV333: set_val,SV393: set_val,SV113: set_val,SV241: set_val > set_val] :
( ( ( ! [SY879: set_val,SY880: set_val] :
( ~ ( ord_less_eq_set_val @ SY879 @ SY880 )
| ( ord_less_eq_set_val @ ( SV241 @ SY879 ) @ ( SV241 @ SY880 ) ) ) )
= $false )
| ( ( ord_less_eq_set_val @ SV113 @ ( SV241 @ SV393 ) )
= $true )
| ( ( ord_less_eq_set_val @ SV333 @ SV393 )
= $false )
| ( ( SV113
= ( SV241 @ SV333 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2001]) ).
thf(2185,plain,
! [SV243: set_val,SV334: set_val > $o,SV115: set_val > $o] :
( ( ( SV115 @ ( sK14_SY882 @ SV334 @ SV243 @ SV115 ) )
= $true )
| ( ( ~ ! [SY988: set_val] :
( ~ ( SV115 @ SY988 )
| ~ ! [SY677: set_val] :
( ~ ( SV115 @ SY677 )
| ( ord_less_eq_set_val @ SY677 @ SY988 ) )
| ( SV334 @ SY988 ) )
| ( SV334 @ ( order_1960465943et_val @ SV115 ) ) )
= $true )
| ( ( SV115 @ SV243 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2002]) ).
thf(2186,plain,
! [SV243: set_val,SV334: set_val > $o,SV115: set_val > $o] :
( ( ( ~ ! [SY988: set_val] :
( ~ ( SV115 @ SY988 )
| ~ ! [SY677: set_val] :
( ~ ( SV115 @ SY677 )
| ( ord_less_eq_set_val @ SY677 @ SY988 ) )
| ( SV334 @ SY988 ) ) )
= $true )
| ( ( SV334 @ ( order_1960465943et_val @ SV115 ) )
= $true )
| ( ( ord_less_eq_set_val @ ( sK14_SY882 @ SV334 @ SV243 @ SV115 ) @ SV243 )
= $false )
| ( ( SV115 @ SV243 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2003]) ).
thf(2187,plain,
! [SV394: set_val,SV244: set_val] :
( ( ( ~ ( ord_less_set_val @ SV244 @ SV394 ) )
= $false )
| ( ( ord_less_set_val @ SV244 @ SV394 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2004]) ).
thf(2188,plain,
! [SV394: set_val,SV244: set_val] :
( ( ( ~ ~ ( ~ ( ord_less_eq_set_val @ SV244 @ SV394 )
| ~ ( ( SV394 != SV244 ) ) ) )
= $false )
| ( ( ord_less_set_val @ SV244 @ SV394 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2004]) ).
thf(2189,plain,
! [SV394: set_val,SV244: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV244 @ SV394 ) )
= $true )
| ( ( ~ ( ( SV394 != SV244 ) ) )
= $true )
| ( ( ~ ( ~ ( ord_less_set_val @ SV244 @ SV394 )
| ~ ~ ( ~ ( ord_less_eq_set_val @ SV244 @ SV394 )
| ~ ( ( SV394 != SV244 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2005]) ).
thf(2190,plain,
! [SV336: set_val,SV245: set_val,SV117: set_val] :
( ( ( ord_less_eq_set_val @ ( sup_sup_set_val @ SV117 @ SV245 ) @ SV336 )
= $true )
| ( ( ord_less_eq_set_val @ ( sup_sup_set_val @ SV117 @ SV245 ) @ SV336 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2006]) ).
thf(2191,plain,
! [SV245: set_val,SV336: set_val,SV117: set_val] :
( ( ( ~ ( ~ ( ord_less_eq_set_val @ SV117 @ SV336 )
| ~ ( ord_less_eq_set_val @ SV245 @ SV336 ) ) )
= $true )
| ( ( ord_less_eq_set_val @ ( sup_sup_set_val @ SV117 @ SV245 ) @ SV336 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2007]) ).
thf(2192,plain,
! [SV245: set_val,SV336: set_val,SV117: set_val] :
( ( ( ord_less_eq_set_val @ SV117 @ SV336 )
= $false )
| ( ( ~ ( ord_less_eq_set_val @ SV245 @ SV336 ) )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_set_val @ ( sup_sup_set_val @ SV117 @ SV245 ) @ SV336 )
| ~ ~ ( ~ ( ord_less_eq_set_val @ SV117 @ SV336 )
| ~ ( ord_less_eq_set_val @ SV245 @ SV336 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2008]) ).
thf(2193,plain,
! [SV118: set_val > set_val,SV246: set_val > set_val] :
( ( ( ord_less_eq_set_val @ ( sK4_SY887 @ SV246 @ SV118 ) @ ( SV118 @ ( sK8_SY1045 @ SV118 @ SV246 ) ) )
= $true )
| ( ( ord_less_eq_set_val @ ( SV246 @ ( sK4_SY887 @ SV246 @ SV118 ) ) @ ( sK8_SY1045 @ SV118 @ SV246 ) )
= $true )
| ( ( refine1929691018et_val @ SV246 @ SV118 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2009]) ).
thf(2194,plain,
! [SV118: set_val > set_val,SV246: set_val > set_val] :
( ( ( ~ ( ord_less_eq_set_val @ ( sK4_SY887 @ SV246 @ SV118 ) @ ( SV118 @ ( sK8_SY1045 @ SV118 @ SV246 ) ) ) )
= $true )
| ( ( ~ ( ord_less_eq_set_val @ ( SV246 @ ( sK4_SY887 @ SV246 @ SV118 ) ) @ ( sK8_SY1045 @ SV118 @ SV246 ) ) )
= $true )
| ( ( refine1929691018et_val @ SV246 @ SV118 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2010]) ).
thf(2195,plain,
! [SV125: set_val > set_val,SV395: set_val,SV253: set_val > set_val,SV340: set_val] :
( ( ( ord_less_eq_set_val @ SV340 @ ( SV253 @ SV395 ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_val @ SV340 @ ( SV253 @ SV395 ) )
| ~ ( ord_less_eq_set_val @ ( SV125 @ SV340 ) @ SV395 ) ) )
= $true )
| ( ( refine1929691018et_val @ SV125 @ SV253 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2011]) ).
thf(2196,plain,
! [SV253: set_val > set_val,SV395: set_val,SV340: set_val,SV125: set_val > set_val] :
( ( ( ord_less_eq_set_val @ ( SV125 @ SV340 ) @ SV395 )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_val @ SV340 @ ( SV253 @ SV395 ) )
| ~ ( ord_less_eq_set_val @ ( SV125 @ SV340 ) @ SV395 ) ) )
= $true )
| ( ( refine1929691018et_val @ SV125 @ SV253 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2011]) ).
thf(2197,plain,
! [SV342: $o > set_val,SV130: $o > set_val] :
( ( ( ord_le994826475et_val @ SV130 @ SV342 )
= $true )
| ( ( ord_le994826475et_val @ SV130 @ SV342 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2012]) ).
thf(2198,plain,
! [SV342: $o > set_val,SV130: $o > set_val] :
( ( ( ! [SY991: $o] : ( ord_less_eq_set_val @ ( SV130 @ SY991 ) @ ( SV342 @ SY991 ) ) )
= $true )
| ( ( ord_le994826475et_val @ SV130 @ SV342 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2013]) ).
thf(2199,plain,
! [SV342: $o > set_val,SV130: $o > set_val] :
( ( ( ~ ( ord_le994826475et_val @ SV130 @ SV342 ) )
= $false )
| ( ( ord_less_eq_set_val @ ( SV130 @ ( sK15_SY991 @ SV342 @ SV130 ) ) @ ( SV342 @ ( sK15_SY991 @ SV342 @ SV130 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2014]) ).
thf(2200,plain,
! [SV342: $o > set_val,SV130: $o > set_val] :
( ( ( ~ ! [SY991: $o] : ( ord_less_eq_set_val @ ( SV130 @ SY991 ) @ ( SV342 @ SY991 ) ) )
= $false )
| ( ( ord_less_eq_set_val @ ( SV130 @ ( sK15_SY991 @ SV342 @ SV130 ) ) @ ( SV342 @ ( sK15_SY991 @ SV342 @ SV130 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2014]) ).
thf(2201,plain,
! [SV343: set_val > set_val,SV131: set_val > set_val] :
( ( ( refine1929691018et_val @ SV131 @ SV343 )
= $true )
| ( ( refine1929691018et_val @ SV131 @ SV343 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2015]) ).
thf(2202,plain,
! [SV131: set_val > set_val,SV343: set_val > set_val] :
( ( ( ! [SY992: set_val,SY993: set_val] :
( ( ord_less_eq_set_val @ SY992 @ ( SV343 @ SY993 ) )
= ( ord_less_eq_set_val @ ( SV131 @ SY992 ) @ SY993 ) ) )
= $true )
| ( ( refine1929691018et_val @ SV131 @ SV343 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2016]) ).
thf(2203,plain,
! [SV343: set_val > set_val,SV131: set_val > set_val] :
( ( ( ~ ( ( ord_less_eq_set_val @ ( sK16_SY992 @ SV131 @ SV343 ) @ ( SV343 @ ( sK19_SY1048 @ SV343 @ SV131 ) ) )
| ( ord_less_eq_set_val @ ( SV131 @ ( sK16_SY992 @ SV131 @ SV343 ) ) @ ( sK19_SY1048 @ SV343 @ SV131 ) ) )
| ~ ( ~ ( ord_less_eq_set_val @ ( sK16_SY992 @ SV131 @ SV343 ) @ ( SV343 @ ( sK19_SY1048 @ SV343 @ SV131 ) ) )
| ~ ( ord_less_eq_set_val @ ( SV131 @ ( sK16_SY992 @ SV131 @ SV343 ) ) @ ( sK19_SY1048 @ SV343 @ SV131 ) ) ) )
= $false )
| ( ( ~ ( ~ ( refine1929691018et_val @ SV131 @ SV343 )
| ~ ! [SY992: set_val,SY993: set_val] :
( ( ord_less_eq_set_val @ SY992 @ ( SV343 @ SY993 ) )
= ( ord_less_eq_set_val @ ( SV131 @ SY992 ) @ SY993 ) ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[2017]) ).
thf(2204,plain,
! [SV343: set_val > set_val,SV131: set_val > set_val] :
( ( ( ( ord_less_eq_set_val @ ( sK16_SY992 @ SV131 @ SV343 ) @ ( SV343 @ ( sK19_SY1048 @ SV343 @ SV131 ) ) )
= ( ord_less_eq_set_val @ ( SV131 @ ( sK16_SY992 @ SV131 @ SV343 ) ) @ ( sK19_SY1048 @ SV343 @ SV131 ) ) )
= $false )
| ( ( ~ ( ~ ( refine1929691018et_val @ SV131 @ SV343 )
| ~ ! [SY992: set_val,SY993: set_val] :
( ( ord_less_eq_set_val @ SY992 @ ( SV343 @ SY993 ) )
= ( ord_less_eq_set_val @ ( SV131 @ SY992 ) @ SY993 ) ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[2017]) ).
thf(2205,plain,
! [SV344: set_val,SV133: set_val] :
( ( ( ord_less_eq_set_val @ SV133 @ SV344 )
= $true )
| ( ( ord_less_eq_set_val @ SV133 @ SV344 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2018]) ).
thf(2206,plain,
! [SV344: set_val,SV133: set_val] :
( ( ( ( ord_less_set_val @ SV133 @ SV344 )
| ( SV133 = SV344 ) )
= $true )
| ( ( ord_less_eq_set_val @ SV133 @ SV344 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2019]) ).
thf(2207,plain,
! [SV344: set_val,SV133: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV133 @ SV344 ) )
= $false )
| ( ( ord_less_set_val @ SV133 @ SV344 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2020]) ).
thf(2208,plain,
! [SV344: set_val,SV133: set_val] :
( ( ( ~ ( ( ord_less_set_val @ SV133 @ SV344 )
| ( SV133 = SV344 ) ) )
= $false )
| ( ( ord_less_set_val @ SV133 @ SV344 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2020]) ).
thf(2209,plain,
! [SV344: set_val,SV133: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV133 @ SV344 ) )
= $false )
| ( ( SV133 = SV344 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2021]) ).
thf(2210,plain,
! [SV344: set_val,SV133: set_val] :
( ( ( ~ ( ( ord_less_set_val @ SV133 @ SV344 )
| ( SV133 = SV344 ) ) )
= $false )
| ( ( SV133 = SV344 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2021]) ).
thf(2211,plain,
! [SV345: set_val,SV134: set_val] :
( ( ( ord_less_eq_set_val @ SV134 @ SV345 )
= $true )
| ( ( ord_less_eq_set_val @ SV134 @ SV345 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2022]) ).
thf(2212,plain,
! [SV345: set_val,SV134: set_val] :
( ( ( ( ord_less_set_val @ SV134 @ SV345 )
| ( SV134 = SV345 ) )
= $true )
| ( ( ord_less_eq_set_val @ SV134 @ SV345 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2023]) ).
thf(2213,plain,
! [SV345: set_val,SV134: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV134 @ SV345 ) )
= $false )
| ( ( ord_less_set_val @ SV134 @ SV345 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2024]) ).
thf(2214,plain,
! [SV345: set_val,SV134: set_val] :
( ( ( ~ ( ( ord_less_set_val @ SV134 @ SV345 )
| ( SV134 = SV345 ) ) )
= $false )
| ( ( ord_less_set_val @ SV134 @ SV345 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2024]) ).
thf(2215,plain,
! [SV345: set_val,SV134: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV134 @ SV345 ) )
= $false )
| ( ( SV134 = SV345 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2025]) ).
thf(2216,plain,
! [SV345: set_val,SV134: set_val] :
( ( ( ~ ( ( ord_less_set_val @ SV134 @ SV345 )
| ( SV134 = SV345 ) ) )
= $false )
| ( ( SV134 = SV345 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2025]) ).
thf(2217,plain,
! [SV346: set_val,SV135: set_val] :
( ( ( ord_less_eq_set_val @ SV135 @ SV346 )
= $true )
| ( ( ord_less_eq_set_val @ SV135 @ SV346 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2026]) ).
thf(2218,plain,
! [SV346: set_val,SV135: set_val] :
( ( ( ( ord_less_set_val @ SV135 @ SV346 )
| ( SV346 = SV135 ) )
= $true )
| ( ( ord_less_eq_set_val @ SV135 @ SV346 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2027]) ).
thf(2219,plain,
! [SV346: set_val,SV135: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV135 @ SV346 ) )
= $false )
| ( ( ord_less_set_val @ SV135 @ SV346 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2028]) ).
thf(2220,plain,
! [SV346: set_val,SV135: set_val] :
( ( ( ~ ( ( ord_less_set_val @ SV135 @ SV346 )
| ( SV346 = SV135 ) ) )
= $false )
| ( ( ord_less_set_val @ SV135 @ SV346 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2028]) ).
thf(2221,plain,
! [SV346: set_val,SV135: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV135 @ SV346 ) )
= $false )
| ( ( SV346 = SV135 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2029]) ).
thf(2222,plain,
! [SV346: set_val,SV135: set_val] :
( ( ( ~ ( ( ord_less_set_val @ SV135 @ SV346 )
| ( SV346 = SV135 ) ) )
= $false )
| ( ( SV346 = SV135 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2029]) ).
thf(2223,plain,
! [SV347: set_val,SV136: set_val] :
( ( ( ord_less_eq_set_val @ SV136 @ SV347 )
= $true )
| ( ( ord_less_eq_set_val @ SV136 @ SV347 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2030]) ).
thf(2224,plain,
! [SV347: set_val,SV136: set_val] :
( ( ( ( ord_less_set_val @ SV136 @ SV347 )
| ( SV136 = SV347 ) )
= $true )
| ( ( ord_less_eq_set_val @ SV136 @ SV347 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2031]) ).
thf(2225,plain,
! [SV347: set_val,SV136: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV136 @ SV347 ) )
= $false )
| ( ( ord_less_set_val @ SV136 @ SV347 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2032]) ).
thf(2226,plain,
! [SV347: set_val,SV136: set_val] :
( ( ( ~ ( ( ord_less_set_val @ SV136 @ SV347 )
| ( SV136 = SV347 ) ) )
= $false )
| ( ( ord_less_set_val @ SV136 @ SV347 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2032]) ).
thf(2227,plain,
! [SV347: set_val,SV136: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV136 @ SV347 ) )
= $false )
| ( ( SV136 = SV347 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2033]) ).
thf(2228,plain,
! [SV347: set_val,SV136: set_val] :
( ( ( ~ ( ( ord_less_set_val @ SV136 @ SV347 )
| ( SV136 = SV347 ) ) )
= $false )
| ( ( SV136 = SV347 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2033]) ).
thf(2229,plain,
! [SV348: set_val,SV138: set_val] :
( ( ( ord_less_eq_set_val @ SV138 @ SV348 )
= $true )
| ( ( ord_less_eq_set_val @ SV138 @ SV348 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2034]) ).
thf(2230,plain,
! [SV348: set_val,SV138: set_val] :
( ( ( ( sup_sup_set_val @ SV138 @ SV348 )
= SV348 )
= $true )
| ( ( ord_less_eq_set_val @ SV138 @ SV348 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2035]) ).
thf(2231,plain,
! [SV348: set_val,SV138: set_val] :
( ( ( ord_less_eq_set_val @ SV138 @ SV348 )
= $true )
| ( ( ( sup_sup_set_val @ SV138 @ SV348 )
= SV348 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2036]) ).
thf(2232,plain,
! [SV348: set_val,SV138: set_val] :
( ( ( ( sup_sup_set_val @ SV138 @ SV348 )
= SV348 )
= $true )
| ( ( ( sup_sup_set_val @ SV138 @ SV348 )
= SV348 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2037]) ).
thf(2233,plain,
! [SV349: set_val,SV139: set_val] :
( ( ( ord_less_eq_set_val @ SV139 @ SV349 )
= $true )
| ( ( ord_less_eq_set_val @ SV139 @ SV349 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2038]) ).
thf(2234,plain,
! [SV139: set_val,SV349: set_val] :
( ( ( ( sup_sup_set_val @ SV349 @ SV139 )
= SV349 )
= $true )
| ( ( ord_less_eq_set_val @ SV139 @ SV349 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2039]) ).
thf(2235,plain,
! [SV349: set_val,SV139: set_val] :
( ( ( ord_less_eq_set_val @ SV139 @ SV349 )
= $true )
| ( ( ( sup_sup_set_val @ SV349 @ SV139 )
= SV349 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2040]) ).
thf(2236,plain,
! [SV139: set_val,SV349: set_val] :
( ( ( ( sup_sup_set_val @ SV349 @ SV139 )
= SV349 )
= $true )
| ( ( ( sup_sup_set_val @ SV349 @ SV139 )
= SV349 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2041]) ).
thf(2237,plain,
! [SV350: set_val,SV142: set_val] :
( ( ( ord_less_eq_set_val @ SV142 @ SV350 )
= $true )
| ( ( ord_less_eq_set_val @ SV142 @ SV350 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2042]) ).
thf(2238,plain,
! [SV142: set_val,SV350: set_val] :
( ( ( SV350
= ( sup_sup_set_val @ SV350 @ SV142 ) )
= $true )
| ( ( ord_less_eq_set_val @ SV142 @ SV350 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2043]) ).
thf(2239,plain,
! [SV350: set_val,SV142: set_val] :
( ( ( ord_less_eq_set_val @ SV142 @ SV350 )
= $true )
| ( ( SV350
= ( sup_sup_set_val @ SV350 @ SV142 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2044]) ).
thf(2240,plain,
! [SV142: set_val,SV350: set_val] :
( ( ( SV350
= ( sup_sup_set_val @ SV350 @ SV142 ) )
= $true )
| ( ( SV350
= ( sup_sup_set_val @ SV350 @ SV142 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2045]) ).
thf(2241,plain,
! [SV17: $o] :
( ( ( ~ ( SV17
| $false ) )
= $true )
| ( ( ~ ( ~ SV17
| ~ $false ) )
= $true )
| ( SV17 = $false )
| ( SV17 = $true ) ),
inference(extcnf_or_pos,[status(thm)],[2046]) ).
thf(2242,plain,
! [SV17: $o] :
( ( ( ~ ( SV17
| $false ) )
= $true )
| ( ( ~ ( ~ SV17
| ~ $false ) )
= $true )
| ( SV17 = $false )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[2048]) ).
thf(2243,plain,
! [SV17: $o] :
( ( ( ~ ( SV17
| $false ) )
= $true )
| ( ( ~ ( ~ SV17
| ~ $false ) )
= $true )
| ( $true = $false )
| ( SV17 = $true ) ),
inference(extcnf_or_pos,[status(thm)],[2050]) ).
thf(2244,plain,
! [SV17: $o] :
( ( ( ~ ( SV17
| $false ) )
= $true )
| ( ( ~ ( ~ SV17
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[2052]) ).
thf(2245,plain,
( ( ( ~ ( $true
| $false ) )
= $true )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[2058]) ).
thf(2246,plain,
( ( ( ~ ( $true
| $false ) )
= $true )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[2060]) ).
thf(2247,plain,
( ( ( ~ ( $true
| $false ) )
= $true )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[2062]) ).
thf(2248,plain,
( ( ( ~ ( $true
| $false ) )
= $true )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[2064]) ).
thf(2249,plain,
( ( ( ~ ( $false
| $false ) )
= $true )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_or_pos,[status(thm)],[2070]) ).
thf(2250,plain,
( ( ( ~ ( $false
| $false ) )
= $true )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[2072]) ).
thf(2251,plain,
( ( ( ~ ( $false
| $false ) )
= $true )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_or_pos,[status(thm)],[2074]) ).
thf(2252,plain,
( ( ( ~ ( $false
| $false ) )
= $true )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[2076]) ).
thf(2253,plain,
! [SV19: set_val > set_val > set_val,SV266: set_val,SV144: set_val] :
( ( ( ord_less_eq_set_val @ ( sK21_SY1049 @ SV144 @ SV266 @ SV19 ) @ ( SV19 @ ( sK20_SY439 @ SV266 @ SV144 @ SV19 ) @ ( sK21_SY1049 @ SV144 @ SV266 @ SV19 ) ) )
= $false )
| ( ( ~ ! [SY441: set_val,SY442: set_val,SY443: set_val] :
( ~ ( ord_less_eq_set_val @ SY442 @ SY441 )
| ~ ( ord_less_eq_set_val @ SY443 @ SY441 )
| ( ord_less_eq_set_val @ ( SV19 @ SY442 @ SY443 ) @ SY441 ) )
| ( ( sup_sup_set_val @ SV144 @ SV266 )
= ( SV19 @ SV144 @ SV266 ) ) )
= $true )
| ( ( ord_less_eq_set_val @ ( sK7_SY437 @ SV266 @ SV144 @ SV19 ) @ ( SV19 @ ( sK7_SY437 @ SV266 @ SV144 @ SV19 ) @ ( sK9_SY1046 @ SV19 @ SV144 @ SV266 ) ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2082]) ).
thf(2254,plain,
! [SV147: val > set_val,SV22: set_val,SV351: val,SV268: val] :
( ( ( ! [SY1051: val] :
( ~ ( ord_less_eq_val @ ( sK22_SY726 @ SV268 @ SV351 @ SV22 @ SV147 ) @ SY1051 )
| ( ord_less_eq_set_val @ ( SV147 @ ( sK22_SY726 @ SV268 @ SV351 @ SV22 @ SV147 ) ) @ ( SV147 @ SY1051 ) ) ) )
= $false )
| ( ( ord_less_eq_set_val @ SV22 @ ( SV147 @ SV351 ) )
= $true )
| ( ( ord_less_eq_val @ SV268 @ SV351 )
= $false )
| ( ( ord_less_eq_set_val @ SV22 @ ( SV147 @ SV268 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2083]) ).
thf(2255,plain,
! [SV269: set_val > set_set_val,SV24: set_val,SV352: set_set_val,SV148: set_val] :
( ( ( ! [SY1052: set_val] :
( ~ ( ord_less_eq_set_val @ ( sK23_SY910 @ SV148 @ SV352 @ SV24 @ SV269 ) @ SY1052 )
| ( ord_le1742111550et_val @ ( SV269 @ ( sK23_SY910 @ SV148 @ SV352 @ SV24 @ SV269 ) ) @ ( SV269 @ SY1052 ) ) ) )
= $false )
| ( ( ord_le1742111550et_val @ ( SV269 @ SV24 ) @ SV352 )
= $true )
| ( ( ord_le1742111550et_val @ ( SV269 @ SV148 ) @ SV352 )
= $false )
| ( ( ord_less_eq_set_val @ SV24 @ SV148 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2084]) ).
thf(2256,plain,
! [SV353: set_val,SV149: set_val] :
( ( ( ord_less_set_val @ SV149 @ SV353 )
= $true )
| ( ( ord_less_set_val @ SV149 @ SV353 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2085]) ).
thf(2257,plain,
! [SV353: set_val,SV149: set_val] :
( ( ( ~ ( ~ ( ord_less_eq_set_val @ SV149 @ SV353 )
| ~ ( ( SV149 != SV353 ) ) ) )
= $true )
| ( ( ord_less_set_val @ SV149 @ SV353 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2086]) ).
thf(2258,plain,
! [SV353: set_val,SV149: set_val] :
( ( ( ord_less_eq_set_val @ SV149 @ SV353 )
= $false )
| ( ( ~ ( ( SV149 != SV353 ) ) )
= $true )
| ( ( ~ ( ~ ( ord_less_set_val @ SV149 @ SV353 )
| ~ ~ ( ~ ( ord_less_eq_set_val @ SV149 @ SV353 )
| ~ ( ( SV149 != SV353 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2087]) ).
thf(2259,plain,
! [SV354: set_val,SV150: set_val] :
( ( ( SV150 = SV354 )
= $true )
| ( ( SV150 = SV354 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2088]) ).
thf(2260,plain,
! [SV354: set_val,SV150: set_val] :
( ( ( ~ ( ~ ( ord_less_eq_set_val @ SV150 @ SV354 )
| ~ ( ord_less_eq_set_val @ SV354 @ SV150 ) ) )
= $true )
| ( ( SV150 = SV354 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2089]) ).
thf(2261,plain,
! [SV354: set_val,SV150: set_val] :
( ( ( ord_less_eq_set_val @ SV150 @ SV354 )
= $false )
| ( ( ~ ( ord_less_eq_set_val @ SV354 @ SV150 ) )
= $true )
| ( ( ~ ( ( SV150 != SV354 )
| ~ ~ ( ~ ( ord_less_eq_set_val @ SV150 @ SV354 )
| ~ ( ord_less_eq_set_val @ SV354 @ SV150 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2090]) ).
thf(2262,plain,
! [SV151: set_val > set_set_val,SV27: set_set_val,SV355: set_val,SV272: set_val] :
( ( ( ! [SY1053: set_val] :
( ~ ( ord_less_eq_set_val @ ( sK24_SY737 @ SV272 @ SV355 @ SV27 @ SV151 ) @ SY1053 )
| ( ord_le1742111550et_val @ ( SV151 @ ( sK24_SY737 @ SV272 @ SV355 @ SV27 @ SV151 ) ) @ ( SV151 @ SY1053 ) ) ) )
= $false )
| ( ( ord_le1742111550et_val @ SV27 @ ( SV151 @ SV355 ) )
= $true )
| ( ( ord_less_eq_set_val @ SV272 @ SV355 )
= $false )
| ( ( ord_le1742111550et_val @ SV27 @ ( SV151 @ SV272 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2091]) ).
thf(2263,plain,
! [SV356: set_val,SV152: set_val] :
( ( ( ord_less_set_val @ SV152 @ SV356 )
= $true )
| ( ( ord_less_set_val @ SV152 @ SV356 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2092]) ).
thf(2264,plain,
! [SV356: set_val,SV152: set_val] :
( ( ( ~ ( ~ ( ord_less_eq_set_val @ SV152 @ SV356 )
| ~ ~ ( ord_less_eq_set_val @ SV356 @ SV152 ) ) )
= $true )
| ( ( ord_less_set_val @ SV152 @ SV356 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2093]) ).
thf(2265,plain,
! [SV356: set_val,SV152: set_val] :
( ( ( ord_less_eq_set_val @ SV152 @ SV356 )
= $false )
| ( ( ~ ~ ( ord_less_eq_set_val @ SV356 @ SV152 ) )
= $true )
| ( ( ~ ( ~ ( ord_less_set_val @ SV152 @ SV356 )
| ~ ~ ( ~ ( ord_less_eq_set_val @ SV152 @ SV356 )
| ~ ~ ( ord_less_eq_set_val @ SV356 @ SV152 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2094]) ).
thf(2266,plain,
! [SV357: set_val,SV153: set_val] :
( ( ( ord_less_set_val @ SV153 @ SV357 )
= $true )
| ( ( ord_less_set_val @ SV153 @ SV357 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2095]) ).
thf(2267,plain,
! [SV357: set_val,SV153: set_val] :
( ( ( ~ ( ~ ( ord_less_eq_set_val @ SV153 @ SV357 )
| ~ ( ( SV153 != SV357 ) ) ) )
= $true )
| ( ( ord_less_set_val @ SV153 @ SV357 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2096]) ).
thf(2268,plain,
! [SV357: set_val,SV153: set_val] :
( ( ( ord_less_eq_set_val @ SV153 @ SV357 )
= $false )
| ( ( ~ ( ( SV153 != SV357 ) ) )
= $true )
| ( ( ~ ( ~ ( ord_less_set_val @ SV153 @ SV357 )
| ~ ~ ( ~ ( ord_less_eq_set_val @ SV153 @ SV357 )
| ~ ( ( SV153 != SV357 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2097]) ).
thf(2269,plain,
! [SV156: set_val,SV275: set_val,SV32: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV32 @ SV275 )
| ~ ( ord_less_eq_set_val @ SV156 @ SV275 ) )
= $false )
| ( ( ord_less_eq_set_val @ ( sup_sup_set_val @ SV32 @ SV156 ) @ SV275 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2099]) ).
thf(2270,plain,
! [SV32: set_val,SV275: set_val,SV156: set_val] :
( ( ( ord_less_eq_set_val @ SV156 @ SV275 )
= $false )
| ( ( ord_less_eq_set_val @ SV32 @ SV275 )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_val @ ( sup_sup_set_val @ SV32 @ SV156 ) @ SV275 )
| ~ ~ ( ~ ( ord_less_eq_set_val @ SV32 @ SV275 )
| ~ ( ord_less_eq_set_val @ SV156 @ SV275 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2100]) ).
thf(2271,plain,
! [SV157: set_val > val,SV33: val,SV358: set_val,SV276: set_val] :
( ( ( ! [SY1054: set_val] :
( ~ ( ord_less_eq_set_val @ ( sK25_SY744 @ SV276 @ SV358 @ SV33 @ SV157 ) @ SY1054 )
| ( ord_less_eq_val @ ( SV157 @ ( sK25_SY744 @ SV276 @ SV358 @ SV33 @ SV157 ) ) @ ( SV157 @ SY1054 ) ) ) )
= $false )
| ( ( ord_less_eq_val @ SV33 @ ( SV157 @ SV358 ) )
= $true )
| ( ( ord_less_eq_set_val @ SV276 @ SV358 )
= $false )
| ( ( ord_less_eq_val @ SV33 @ ( SV157 @ SV276 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2101]) ).
thf(2272,plain,
! [SV159: set_val,SV277: set_val,SV35: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV35 @ SV277 )
| ~ ( ord_less_eq_set_val @ SV159 @ SV277 ) )
= $false )
| ( ( ord_less_eq_set_val @ ( sup_sup_set_val @ SV35 @ SV159 ) @ SV277 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2103]) ).
thf(2273,plain,
! [SV35: set_val,SV277: set_val,SV159: set_val] :
( ( ( ord_less_eq_set_val @ SV159 @ SV277 )
= $false )
| ( ( ord_less_eq_set_val @ SV35 @ SV277 )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_val @ ( sup_sup_set_val @ SV35 @ SV159 ) @ SV277 )
| ~ ~ ( ~ ( ord_less_eq_set_val @ SV35 @ SV277 )
| ~ ( ord_less_eq_set_val @ SV159 @ SV277 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2104]) ).
thf(2274,plain,
! [SV278: set_val > set_set_val,SV36: set_val,SV359: set_set_val,SV160: set_val] :
( ( ( ! [SY1055: set_val] :
( ~ ( ord_less_eq_set_val @ ( sK26_SY919 @ SV160 @ SV359 @ SV36 @ SV278 ) @ SY1055 )
| ( ord_le1742111550et_val @ ( SV278 @ ( sK26_SY919 @ SV160 @ SV359 @ SV36 @ SV278 ) ) @ ( SV278 @ SY1055 ) ) ) )
= $false )
| ( ( ord_le1742111550et_val @ ( SV278 @ SV36 ) @ SV359 )
= $true )
| ( ( ( SV278 @ SV160 )
= SV359 )
= $false )
| ( ( ord_less_eq_set_val @ SV36 @ SV160 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2105]) ).
thf(2275,plain,
! [SV279: val > set_val,SV38: val,SV360: set_val,SV162: val] :
( ( ( ! [SY1056: val] :
( ~ ( ord_less_eq_val @ ( sK27_SY922 @ SV162 @ SV360 @ SV38 @ SV279 ) @ SY1056 )
| ( ord_less_eq_set_val @ ( SV279 @ ( sK27_SY922 @ SV162 @ SV360 @ SV38 @ SV279 ) ) @ ( SV279 @ SY1056 ) ) ) )
= $false )
| ( ( ord_less_eq_set_val @ ( SV279 @ SV38 ) @ SV360 )
= $true )
| ( ( ( SV279 @ SV162 )
= SV360 )
= $false )
| ( ( ord_less_eq_val @ SV38 @ SV162 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2106]) ).
thf(2276,plain,
! [SV282: set_val > set_val,SV42: set_val,SV361: set_val,SV166: set_val] :
( ( ( ! [SY1057: set_val] :
( ~ ( ord_less_eq_set_val @ ( sK28_SY925 @ SV166 @ SV361 @ SV42 @ SV282 ) @ SY1057 )
| ( ord_less_eq_set_val @ ( SV282 @ ( sK28_SY925 @ SV166 @ SV361 @ SV42 @ SV282 ) ) @ ( SV282 @ SY1057 ) ) ) )
= $false )
| ( ( ord_less_eq_set_val @ ( SV282 @ SV42 ) @ SV361 )
= $true )
| ( ( ord_less_eq_set_val @ ( SV282 @ SV166 ) @ SV361 )
= $false )
| ( ( ord_less_eq_set_val @ SV42 @ SV166 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2107]) ).
thf(2277,plain,
! [SV362: set_val,SV167: set_val] :
( ( ( SV167 = SV362 )
= $true )
| ( ( SV167 = SV362 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2108]) ).
thf(2278,plain,
! [SV362: set_val,SV167: set_val] :
( ( ( ~ ( ~ ( ord_less_eq_set_val @ SV167 @ SV362 )
| ~ ( ord_less_eq_set_val @ SV362 @ SV167 ) ) )
= $true )
| ( ( SV167 = SV362 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2109]) ).
thf(2279,plain,
! [SV362: set_val,SV167: set_val] :
( ( ( ord_less_eq_set_val @ SV167 @ SV362 )
= $false )
| ( ( ~ ( ord_less_eq_set_val @ SV362 @ SV167 ) )
= $true )
| ( ( ~ ( ( SV167 != SV362 )
| ~ ~ ( ~ ( ord_less_eq_set_val @ SV167 @ SV362 )
| ~ ( ord_less_eq_set_val @ SV362 @ SV167 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2110]) ).
thf(2280,plain,
! [SV168: val > $o,SV400: val,SV44: val > $o] :
( ( ( ~ ( SV44 @ SV400 ) )
= $true )
| ( ( SV168 @ SV400 )
= $true )
| ( ( ord_less_eq_set_val @ ( collect_val @ SV44 ) @ ( collect_val @ SV168 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2111]) ).
thf(2281,plain,
! [SV168: val > $o,SV44: val > $o] :
( ( ( ~ ( ord_less_eq_set_val @ ( collect_val @ SV44 ) @ ( collect_val @ SV168 ) ) )
= $false )
| ( ( SV44 @ ( sK10_SY763 @ SV168 @ SV44 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2112]) ).
thf(2282,plain,
! [SV168: val > $o,SV44: val > $o] :
( ( ( ~ ! [SY763: val] :
( ~ ( SV44 @ SY763 )
| ( SV168 @ SY763 ) ) )
= $false )
| ( ( SV44 @ ( sK10_SY763 @ SV168 @ SV44 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2112]) ).
thf(2283,plain,
! [SV168: val > $o,SV44: val > $o] :
( ( ( ord_less_eq_set_val @ ( collect_val @ SV44 ) @ ( collect_val @ SV168 ) )
= $true )
| ( ( SV168 @ ( sK10_SY763 @ SV168 @ SV44 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2113]) ).
thf(2284,plain,
! [SV168: val > $o,SV44: val > $o] :
( ( ( ! [SY763: val] :
( ~ ( SV44 @ SY763 )
| ( SV168 @ SY763 ) ) )
= $true )
| ( ( SV168 @ ( sK10_SY763 @ SV168 @ SV44 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2114]) ).
thf(2285,plain,
! [SV169: set_val > set_set_val,SV45: set_set_val,SV363: set_val,SV284: set_val] :
( ( ( ! [SY1058: set_val] :
( ~ ( ord_less_eq_set_val @ ( sK29_SY766 @ SV284 @ SV363 @ SV45 @ SV169 ) @ SY1058 )
| ( ord_le1742111550et_val @ ( SV169 @ ( sK29_SY766 @ SV284 @ SV363 @ SV45 @ SV169 ) ) @ ( SV169 @ SY1058 ) ) ) )
= $false )
| ( ( ord_le1742111550et_val @ SV45 @ ( SV169 @ SV363 ) )
= $true )
| ( ( ord_less_eq_set_val @ SV284 @ SV363 )
= $false )
| ( ( SV45
= ( SV169 @ SV284 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2115]) ).
thf(2286,plain,
! [SV285: set_set_val > set_val,SV46: set_set_val,SV364: set_val,SV170: set_set_val] :
( ( ( ! [SY1059: set_set_val] :
( ~ ( ord_le1742111550et_val @ ( sK30_SY931 @ SV170 @ SV364 @ SV46 @ SV285 ) @ SY1059 )
| ( ord_less_eq_set_val @ ( SV285 @ ( sK30_SY931 @ SV170 @ SV364 @ SV46 @ SV285 ) ) @ ( SV285 @ SY1059 ) ) ) )
= $false )
| ( ( ord_less_eq_set_val @ ( SV285 @ SV46 ) @ SV364 )
= $true )
| ( ( ord_less_eq_set_val @ ( SV285 @ SV170 ) @ SV364 )
= $false )
| ( ( ord_le1742111550et_val @ SV46 @ SV170 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2116]) ).
thf(2287,plain,
! [SV173: set_set_val > set_val,SV49: set_val,SV366: set_set_val,SV287: set_set_val] :
( ( ( ! [SY1060: set_set_val] :
( ~ ( ord_le1742111550et_val @ ( sK31_SY776 @ SV287 @ SV366 @ SV49 @ SV173 ) @ SY1060 )
| ( ord_less_eq_set_val @ ( SV173 @ ( sK31_SY776 @ SV287 @ SV366 @ SV49 @ SV173 ) ) @ ( SV173 @ SY1060 ) ) ) )
= $false )
| ( ( ord_less_eq_set_val @ SV49 @ ( SV173 @ SV366 ) )
= $true )
| ( ( ord_le1742111550et_val @ SV287 @ SV366 )
= $false )
| ( ( SV49
= ( SV173 @ SV287 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2118]) ).
thf(2288,plain,
! [SV367: set_val,SV175: set_val] :
( ( ( ord_less_eq_set_val @ SV175 @ SV367 )
= $true )
| ( ( ord_less_eq_set_val @ SV175 @ SV367 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2119]) ).
thf(2289,plain,
! [SV367: set_val,SV175: set_val] :
( ( ( ! [SY1014: val] :
( ~ ( member_val @ SY1014 @ SV175 )
| ( member_val @ SY1014 @ SV367 ) ) )
= $true )
| ( ( ord_less_eq_set_val @ SV175 @ SV367 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2120]) ).
thf(2290,plain,
! [SV175: set_val,SV367: set_val] :
( ( ( member_val @ ( sK17_SY1014 @ SV367 @ SV175 ) @ SV175 )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_set_val @ SV175 @ SV367 )
| ~ ! [SY1014: val] :
( ~ ( member_val @ SY1014 @ SV175 )
| ( member_val @ SY1014 @ SV367 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2121]) ).
thf(2291,plain,
! [SV367: set_val,SV175: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV175 @ SV367 )
| ~ ! [SY1014: val] :
( ~ ( member_val @ SY1014 @ SV175 )
| ( member_val @ SY1014 @ SV367 ) ) )
= $false )
| ( ( member_val @ ( sK17_SY1014 @ SV367 @ SV175 ) @ SV367 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2122]) ).
thf(2292,plain,
! [SV290: val > set_val,SV53: val,SV368: set_val,SV177: val] :
( ( ( ! [SY1061: val] :
( ~ ( ord_less_eq_val @ ( sK32_SY939 @ SV177 @ SV368 @ SV53 @ SV290 ) @ SY1061 )
| ( ord_less_eq_set_val @ ( SV290 @ ( sK32_SY939 @ SV177 @ SV368 @ SV53 @ SV290 ) ) @ ( SV290 @ SY1061 ) ) ) )
= $false )
| ( ( ord_less_eq_set_val @ ( SV290 @ SV53 ) @ SV368 )
= $true )
| ( ( ord_less_eq_set_val @ ( SV290 @ SV177 ) @ SV368 )
= $false )
| ( ( ord_less_eq_val @ SV53 @ SV177 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2123]) ).
thf(2293,plain,
! [SV370: set_val,SV183: set_val] :
( ( ( SV183 = SV370 )
= $true )
| ( ( SV183 = SV370 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2124]) ).
thf(2294,plain,
! [SV370: set_val,SV183: set_val] :
( ( ( ~ ( ~ ( ord_less_eq_set_val @ SV183 @ SV370 )
| ~ ( ord_less_eq_set_val @ SV370 @ SV183 ) ) )
= $true )
| ( ( SV183 = SV370 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2125]) ).
thf(2295,plain,
! [SV370: set_val,SV183: set_val] :
( ( ( ord_less_eq_set_val @ SV183 @ SV370 )
= $false )
| ( ( ~ ( ord_less_eq_set_val @ SV370 @ SV183 ) )
= $true )
| ( ( ~ ( ( SV183 != SV370 )
| ~ ~ ( ~ ( ord_less_eq_set_val @ SV183 @ SV370 )
| ~ ( ord_less_eq_set_val @ SV370 @ SV183 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2126]) ).
thf(2296,plain,
! [SV295: set_val > set_val,SV60: set_val,SV371: set_val,SV184: set_val] :
( ( ( ! [SY1062: set_val] :
( ~ ( ord_less_eq_set_val @ ( sK33_SY944 @ SV184 @ SV371 @ SV60 @ SV295 ) @ SY1062 )
| ( ord_less_eq_set_val @ ( SV295 @ ( sK33_SY944 @ SV184 @ SV371 @ SV60 @ SV295 ) ) @ ( SV295 @ SY1062 ) ) ) )
= $false )
| ( ( ord_less_set_val @ ( SV295 @ SV60 ) @ SV371 )
= $true )
| ( ( ord_less_set_val @ ( SV295 @ SV184 ) @ SV371 )
= $false )
| ( ( ord_less_eq_set_val @ SV60 @ SV184 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2127]) ).
thf(2297,plain,
! [SV185: set_val,SV61: set_val] :
( ( ( ~ ~ ( ord_less_set_val @ SV61 @ SV185 ) )
= $false )
| ( ( ord_less_set_val @ SV61 @ SV185 )
= $true )
| ( ( ord_less_eq_set_val @ SV61 @ SV185 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2128]) ).
thf(2298,plain,
! [SV185: set_val,SV61: set_val] :
( ( ( SV61 != SV185 )
= $false )
| ( ( ord_less_set_val @ SV61 @ SV185 )
= $true )
| ( ( ord_less_eq_set_val @ SV61 @ SV185 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2128]) ).
thf(2299,plain,
! [SV185: set_val,SV61: set_val] :
( ( ( ~ ( ord_less_set_val @ SV61 @ SV185 ) )
= $true )
| ( ( SV61 = SV185 )
= $false )
| ( ( ord_less_eq_set_val @ SV61 @ SV185 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2129]) ).
thf(2300,plain,
! [SV185: set_val,SV61: set_val] :
( ( ( SV61 = SV185 )
= $true )
| ( ( SV61 = SV185 )
= $false )
| ( ( ord_less_eq_set_val @ SV61 @ SV185 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2130]) ).
thf(2301,plain,
! [SV297: set_val > val,SV64: set_val,SV372: val,SV188: set_val] :
( ( ( ! [SY1063: set_val] :
( ~ ( ord_less_eq_set_val @ ( sK34_SY947 @ SV188 @ SV372 @ SV64 @ SV297 ) @ SY1063 )
| ( ord_less_eq_val @ ( SV297 @ ( sK34_SY947 @ SV188 @ SV372 @ SV64 @ SV297 ) ) @ ( SV297 @ SY1063 ) ) ) )
= $false )
| ( ( ord_less_eq_val @ ( SV297 @ SV64 ) @ SV372 )
= $true )
| ( ( ( SV297 @ SV188 )
= SV372 )
= $false )
| ( ( ord_less_eq_set_val @ SV64 @ SV188 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2131]) ).
thf(2302,plain,
! [SV298: set_val > set_val,SV66: set_val,SV373: set_val,SV190: set_val] :
( ( ( ! [SY1064: set_val] :
( ~ ( ord_less_eq_set_val @ ( sK35_SY950 @ SV190 @ SV373 @ SV66 @ SV298 ) @ SY1064 )
| ( ord_less_eq_set_val @ ( SV298 @ ( sK35_SY950 @ SV190 @ SV373 @ SV66 @ SV298 ) ) @ ( SV298 @ SY1064 ) ) ) )
= $false )
| ( ( ord_less_eq_set_val @ ( SV298 @ SV66 ) @ SV373 )
= $true )
| ( ( ( SV298 @ SV190 )
= SV373 )
= $false )
| ( ( ord_less_eq_set_val @ SV66 @ SV190 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2132]) ).
thf(2303,plain,
! [SV374: $o > set_val,SV194: $o > set_val] :
( ( ( ord_le994826475et_val @ SV194 @ SV374 )
= $true )
| ( ( ord_le994826475et_val @ SV194 @ SV374 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2133]) ).
thf(2304,plain,
! [SV374: $o > set_val,SV194: $o > set_val] :
( ( ( ~ ( ~ ( ord_less_eq_set_val @ ( SV194 @ $false ) @ ( SV374 @ $false ) )
| ~ ( ord_less_eq_set_val @ ( SV194 @ $true ) @ ( SV374 @ $true ) ) ) )
= $true )
| ( ( ord_le994826475et_val @ SV194 @ SV374 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2134]) ).
thf(2305,plain,
! [SV374: $o > set_val,SV194: $o > set_val] :
( ( ( ord_less_eq_set_val @ ( SV194 @ $false ) @ ( SV374 @ $false ) )
= $false )
| ( ( ~ ( ord_less_eq_set_val @ ( SV194 @ $true ) @ ( SV374 @ $true ) ) )
= $true )
| ( ( ~ ( ~ ( ord_le994826475et_val @ SV194 @ SV374 )
| ~ ~ ( ~ ( ord_less_eq_set_val @ ( SV194 @ $false ) @ ( SV374 @ $false ) )
| ~ ( ord_less_eq_set_val @ ( SV194 @ $true ) @ ( SV374 @ $true ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2135]) ).
thf(2306,plain,
! [SV75: set_val,SV199: set_val] :
( ( ( ord_less_eq_set_val @ SV199 @ SV75 )
= $true )
| ( ( ord_less_eq_set_val @ SV199 @ SV75 )
= $false )
| ( ( ord_less_eq_set_val @ SV75 @ SV199 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2136]) ).
thf(2307,plain,
! [SV75: set_val,SV199: set_val] :
( ( ( SV199 = SV75 )
= $true )
| ( ( ord_less_eq_set_val @ SV199 @ SV75 )
= $false )
| ( ( ord_less_eq_set_val @ SV75 @ SV199 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2137]) ).
thf(2308,plain,
! [SV75: set_val,SV199: set_val] :
( ( ( ord_less_eq_set_val @ SV199 @ SV75 )
= $true )
| ( ( SV199 = SV75 )
= $false )
| ( ( ord_less_eq_set_val @ SV75 @ SV199 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2138]) ).
thf(2309,plain,
! [SV75: set_val,SV199: set_val] :
( ( ( SV199 = SV75 )
= $true )
| ( ( SV199 = SV75 )
= $false )
| ( ( ord_less_eq_set_val @ SV75 @ SV199 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2139]) ).
thf(2310,plain,
! [SV375: set_val,SV307: set_val,SV204: set_val,SV80: set_val] :
( ( ( ( set_or1554624499et_val @ SV80 @ SV204 )
= ( set_or1554624499et_val @ SV307 @ SV375 ) )
= $true )
| ( ( ( set_or1554624499et_val @ SV80 @ SV204 )
= ( set_or1554624499et_val @ SV307 @ SV375 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2140]) ).
thf(2311,plain,
! [SV375: set_val,SV204: set_val,SV307: set_val,SV80: set_val] :
( ( ( ~ ( ( SV80 != SV307 )
| ( SV204 != SV375 ) )
| ~ ( ~ ~ ( ord_less_eq_set_val @ SV80 @ SV204 )
| ~ ~ ( ord_less_eq_set_val @ SV307 @ SV375 ) ) )
= $true )
| ( ( ( set_or1554624499et_val @ SV80 @ SV204 )
= ( set_or1554624499et_val @ SV307 @ SV375 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2141]) ).
thf(2312,plain,
! [SV375: set_val,SV204: set_val,SV307: set_val,SV80: set_val] :
( ( ( SV80 != SV307 )
= $true )
| ( ( SV204 != SV375 )
= $true )
| ( ( ~ ( ( ( set_or1554624499et_val @ SV80 @ SV204 )
!= ( set_or1554624499et_val @ SV307 @ SV375 ) )
| ~ ( ~ ( ( SV80 != SV307 )
| ( SV204 != SV375 ) )
| ~ ( ~ ~ ( ord_less_eq_set_val @ SV80 @ SV204 )
| ~ ~ ( ord_less_eq_set_val @ SV307 @ SV375 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2142]) ).
thf(2313,plain,
! [SV375: set_val,SV307: set_val,SV204: set_val,SV80: set_val] :
( ( ( ~ ~ ( ord_less_eq_set_val @ SV80 @ SV204 ) )
= $true )
| ( ( ~ ~ ( ord_less_eq_set_val @ SV307 @ SV375 ) )
= $true )
| ( ( ~ ( ( ( set_or1554624499et_val @ SV80 @ SV204 )
!= ( set_or1554624499et_val @ SV307 @ SV375 ) )
| ~ ( ~ ( ( SV80 != SV307 )
| ( SV204 != SV375 ) )
| ~ ( ~ ~ ( ord_less_eq_set_val @ SV80 @ SV204 )
| ~ ~ ( ord_less_eq_set_val @ SV307 @ SV375 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2143]) ).
thf(2314,plain,
! [SV376: set_val,SV206: set_val] :
( ( ( ord_less_set_val @ SV206 @ SV376 )
= $true )
| ( ( ord_less_set_val @ SV206 @ SV376 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2144]) ).
thf(2315,plain,
! [SV376: set_val,SV206: set_val] :
( ( ( ~ ( ~ ( ord_less_eq_set_val @ SV206 @ SV376 )
| ~ ( ( SV206 != SV376 ) ) ) )
= $true )
| ( ( ord_less_set_val @ SV206 @ SV376 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2145]) ).
thf(2316,plain,
! [SV376: set_val,SV206: set_val] :
( ( ( ord_less_eq_set_val @ SV206 @ SV376 )
= $false )
| ( ( ~ ( ( SV206 != SV376 ) ) )
= $true )
| ( ( ~ ( ~ ( ord_less_set_val @ SV206 @ SV376 )
| ~ ~ ( ~ ( ord_less_eq_set_val @ SV206 @ SV376 )
| ~ ( ( SV206 != SV376 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2146]) ).
thf(2317,plain,
! [SV207: val > set_val,SV83: set_val,SV377: val,SV310: val] :
( ( ( ! [SY1065: val] :
( ~ ( ord_less_eq_val @ ( sK36_SY822 @ SV310 @ SV377 @ SV83 @ SV207 ) @ SY1065 )
| ( ord_less_eq_set_val @ ( SV207 @ ( sK36_SY822 @ SV310 @ SV377 @ SV83 @ SV207 ) ) @ ( SV207 @ SY1065 ) ) ) )
= $false )
| ( ( ord_less_eq_set_val @ SV83 @ ( SV207 @ SV377 ) )
= $true )
| ( ( ord_less_eq_val @ SV310 @ SV377 )
= $false )
| ( ( SV83
= ( SV207 @ SV310 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2147]) ).
thf(2318,plain,
! [SV378: set_val,SV211: set_val] :
( ( ( ord_less_set_val @ SV211 @ SV378 )
= $true )
| ( ( ord_less_set_val @ SV211 @ SV378 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2148]) ).
thf(2319,plain,
! [SV378: set_val,SV211: set_val] :
( ( ( ~ ( ~ ( ord_less_eq_set_val @ SV211 @ SV378 )
| ~ ~ ( ord_less_eq_set_val @ SV378 @ SV211 ) ) )
= $true )
| ( ( ord_less_set_val @ SV211 @ SV378 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2149]) ).
thf(2320,plain,
! [SV378: set_val,SV211: set_val] :
( ( ( ord_less_eq_set_val @ SV211 @ SV378 )
= $false )
| ( ( ~ ~ ( ord_less_eq_set_val @ SV378 @ SV211 ) )
= $true )
| ( ( ~ ( ~ ( ord_less_set_val @ SV211 @ SV378 )
| ~ ~ ( ~ ( ord_less_eq_set_val @ SV211 @ SV378 )
| ~ ~ ( ord_less_eq_set_val @ SV378 @ SV211 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2150]) ).
thf(2321,plain,
! [SV214: set_set_val > set_val,SV90: set_val,SV379: set_set_val,SV315: set_set_val] :
( ( ( ! [SY1066: set_set_val] :
( ~ ( ord_le1742111550et_val @ ( sK37_SY830 @ SV315 @ SV379 @ SV90 @ SV214 ) @ SY1066 )
| ( ord_less_eq_set_val @ ( SV214 @ ( sK37_SY830 @ SV315 @ SV379 @ SV90 @ SV214 ) ) @ ( SV214 @ SY1066 ) ) ) )
= $false )
| ( ( ord_less_eq_set_val @ SV90 @ ( SV214 @ SV379 ) )
= $true )
| ( ( ord_le1742111550et_val @ SV315 @ SV379 )
= $false )
| ( ( ord_less_eq_set_val @ SV90 @ ( SV214 @ SV315 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2151]) ).
thf(2322,plain,
! [SV216: set_val > set_val,SV92: set_val,SV380: set_val,SV317: set_val] :
( ( ( ! [SY1067: set_val] :
( ~ ( ord_less_eq_set_val @ ( sK38_SY835 @ SV317 @ SV380 @ SV92 @ SV216 ) @ SY1067 )
| ( ord_less_eq_set_val @ ( SV216 @ ( sK38_SY835 @ SV317 @ SV380 @ SV92 @ SV216 ) ) @ ( SV216 @ SY1067 ) ) ) )
= $false )
| ( ( ord_less_set_val @ SV92 @ ( SV216 @ SV380 ) )
= $true )
| ( ( ord_less_eq_set_val @ SV317 @ SV380 )
= $false )
| ( ( ord_less_set_val @ SV92 @ ( SV216 @ SV317 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2152]) ).
thf(2323,plain,
! [SV217: set_val,SV93: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV93 @ SV217 ) )
= $false )
| ( ( ord_less_eq_set_val @ SV93 @ SV217 )
= $false )
| ( ( ord_less_set_val @ SV93 @ SV217 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2153]) ).
thf(2324,plain,
! [SV217: set_val,SV93: set_val] :
( ( ( SV93 != SV217 )
= $false )
| ( ( ord_less_eq_set_val @ SV93 @ SV217 )
= $false )
| ( ( ord_less_set_val @ SV93 @ SV217 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2153]) ).
thf(2325,plain,
! [SV217: set_val,SV93: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV93 @ SV217 ) )
= $false )
| ( ( SV93 = SV217 )
= $false )
| ( ( ord_less_set_val @ SV93 @ SV217 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2154]) ).
thf(2326,plain,
! [SV217: set_val,SV93: set_val] :
( ( ( SV93 != SV217 )
= $false )
| ( ( SV93 = SV217 )
= $false )
| ( ( ord_less_set_val @ SV93 @ SV217 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2154]) ).
thf(2327,plain,
! [SV381: set_val,SV222: set_val] :
( ( ( SV222 = SV381 )
= $true )
| ( ( SV222 = SV381 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2155]) ).
thf(2328,plain,
! [SV222: set_val,SV381: set_val] :
( ( ( ~ ( ~ ( ord_less_eq_set_val @ SV381 @ SV222 )
| ~ ( ord_less_eq_set_val @ SV222 @ SV381 ) ) )
= $true )
| ( ( SV222 = SV381 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2156]) ).
thf(2329,plain,
! [SV222: set_val,SV381: set_val] :
( ( ( ord_less_eq_set_val @ SV381 @ SV222 )
= $false )
| ( ( ~ ( ord_less_eq_set_val @ SV222 @ SV381 ) )
= $true )
| ( ( ~ ( ( SV222 != SV381 )
| ~ ~ ( ~ ( ord_less_eq_set_val @ SV381 @ SV222 )
| ~ ( ord_less_eq_set_val @ SV222 @ SV381 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2157]) ).
thf(2330,plain,
! [SV321: set_val,SV223: set_val,SV397: set_val,SV382: set_val,SV99: $o] :
( ( ( ~ ~ SV99
| ( ord_less_eq_set_val @ SV382 @ SV397 ) )
= $false )
| ( ( ord_less_eq_set_val @ ( if_set_val @ SV99 @ SV223 @ SV382 ) @ ( if_set_val @ SV99 @ SV321 @ SV397 ) )
= $true )
| ( SV99 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[2158]) ).
thf(2331,plain,
! [SV397: set_val,SV321: set_val,SV382: set_val,SV223: set_val,SV99: $o] :
( ( ( ~ ~ SV99 )
= $false )
| ( ( ord_less_eq_set_val @ ( if_set_val @ SV99 @ SV223 @ SV382 ) @ ( if_set_val @ SV99 @ SV321 @ SV397 ) )
= $true )
| ( ( ord_less_eq_set_val @ SV223 @ SV321 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2159]) ).
thf(2332,plain,
! [SV321: set_val,SV223: set_val,SV99: $o,SV397: set_val,SV382: set_val] :
( ( ( ord_less_eq_set_val @ SV382 @ SV397 )
= $false )
| ( ( ord_less_eq_set_val @ ( if_set_val @ SV99 @ SV223 @ SV382 ) @ ( if_set_val @ SV99 @ SV321 @ SV397 ) )
= $true )
| ( ( ord_less_eq_set_val @ SV223 @ SV321 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2159]) ).
thf(2333,plain,
! [SV322: set_val,SV224: set_val,SV398: set_val,SV383: set_val] :
( ( ( ~ ~ $true
| ( ord_less_eq_set_val @ SV383 @ SV398 ) )
= $false )
| ( ( ord_less_eq_set_val @ ( if_set_val @ $true @ SV224 @ SV383 ) @ ( if_set_val @ $true @ SV322 @ SV398 ) )
= $true )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[2160]) ).
thf(2334,plain,
! [SV398: set_val,SV322: set_val,SV383: set_val,SV224: set_val] :
( ( ( ~ ~ $true )
= $false )
| ( ( ord_less_eq_set_val @ ( if_set_val @ $true @ SV224 @ SV383 ) @ ( if_set_val @ $true @ SV322 @ SV398 ) )
= $true )
| ( ( ord_less_eq_set_val @ SV224 @ SV322 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2161]) ).
thf(2335,plain,
! [SV322: set_val,SV224: set_val,SV398: set_val,SV383: set_val] :
( ( ( ord_less_eq_set_val @ SV383 @ SV398 )
= $false )
| ( ( ord_less_eq_set_val @ ( if_set_val @ $true @ SV224 @ SV383 ) @ ( if_set_val @ $true @ SV322 @ SV398 ) )
= $true )
| ( ( ord_less_eq_set_val @ SV224 @ SV322 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2161]) ).
thf(2336,plain,
! [SV323: set_val,SV225: set_val,SV399: set_val,SV384: set_val] :
( ( ( ~ ~ $false
| ( ord_less_eq_set_val @ SV384 @ SV399 ) )
= $false )
| ( ( ord_less_eq_set_val @ ( if_set_val @ $false @ SV225 @ SV384 ) @ ( if_set_val @ $false @ SV323 @ SV399 ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[2162]) ).
thf(2337,plain,
! [SV399: set_val,SV323: set_val,SV384: set_val,SV225: set_val] :
( ( ( ~ ~ $false )
= $false )
| ( ( ord_less_eq_set_val @ ( if_set_val @ $false @ SV225 @ SV384 ) @ ( if_set_val @ $false @ SV323 @ SV399 ) )
= $true )
| ( ( ord_less_eq_set_val @ SV225 @ SV323 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2163]) ).
thf(2338,plain,
! [SV323: set_val,SV225: set_val,SV399: set_val,SV384: set_val] :
( ( ( ord_less_eq_set_val @ SV384 @ SV399 )
= $false )
| ( ( ord_less_eq_set_val @ ( if_set_val @ $false @ SV225 @ SV384 ) @ ( if_set_val @ $false @ SV323 @ SV399 ) )
= $true )
| ( ( ord_less_eq_set_val @ SV225 @ SV323 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2163]) ).
thf(2339,plain,
! [SV385: set_val,SV226: set_val] :
( ( ( ord_less_eq_set_val @ SV226 @ SV385 )
= $true )
| ( ( ord_less_eq_set_val @ SV226 @ SV385 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2164]) ).
thf(2340,plain,
! [SV385: set_val,SV226: set_val] :
( ( ( ! [SY1033: val] :
( ~ ( member_val @ SY1033 @ SV226 )
| ( member_val @ SY1033 @ SV385 ) ) )
= $true )
| ( ( ord_less_eq_set_val @ SV226 @ SV385 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2165]) ).
thf(2341,plain,
! [SV226: set_val,SV385: set_val] :
( ( ( member_val @ ( sK18_SY1033 @ SV385 @ SV226 ) @ SV226 )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_set_val @ SV226 @ SV385 )
| ~ ! [SY1033: val] :
( ~ ( member_val @ SY1033 @ SV226 )
| ( member_val @ SY1033 @ SV385 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2166]) ).
thf(2342,plain,
! [SV385: set_val,SV226: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV226 @ SV385 )
| ~ ! [SY1033: val] :
( ~ ( member_val @ SY1033 @ SV226 )
| ( member_val @ SY1033 @ SV385 ) ) )
= $false )
| ( ( member_val @ ( sK18_SY1033 @ SV385 @ SV226 ) @ SV385 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2167]) ).
thf(2343,plain,
! [SV227: set_val > set_val,SV101: set_val,SV386: set_val,SV325: set_val] :
( ( ( ! [SY1068: set_val] :
( ~ ( ord_less_eq_set_val @ ( sK39_SY854 @ SV325 @ SV386 @ SV101 @ SV227 ) @ SY1068 )
| ( ord_less_eq_set_val @ ( SV227 @ ( sK39_SY854 @ SV325 @ SV386 @ SV101 @ SV227 ) ) @ ( SV227 @ SY1068 ) ) ) )
= $false )
| ( ( ord_less_eq_set_val @ SV101 @ ( SV227 @ SV386 ) )
= $true )
| ( ( ord_less_eq_set_val @ SV325 @ SV386 )
= $false )
| ( ( ord_less_eq_set_val @ SV101 @ ( SV227 @ SV325 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2168]) ).
thf(2344,plain,
! [SV232: set_val > set_val,SV402: set_val,SV401: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV401 @ SV402 )
| ( ord_less_eq_set_val @ ( SV232 @ SV402 ) @ ( SV232 @ SV401 ) ) )
= $true )
| ( ( order_1719375026et_val @ SV232 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2169]) ).
thf(2345,plain,
! [SV232: set_val > set_val] :
( ( ( ~ ( order_1719375026et_val @ SV232 )
| ~ ! [SY856: set_val,SY857: set_val] :
( ~ ( ord_less_eq_set_val @ SY856 @ SY857 )
| ( ord_less_eq_set_val @ ( SV232 @ SY857 ) @ ( SV232 @ SY856 ) ) ) )
= $false )
| ( ( ord_less_eq_set_val @ ( sK12_SY856 @ SV232 ) @ ( sK13_SY1047 @ SV232 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2170]) ).
thf(2346,plain,
! [SV232: set_val > set_val] :
( ( ( ~ ( order_1719375026et_val @ SV232 ) )
= $false )
| ( ( ord_less_eq_set_val @ ( SV232 @ ( sK13_SY1047 @ SV232 ) ) @ ( SV232 @ ( sK12_SY856 @ SV232 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2171]) ).
thf(2347,plain,
! [SV232: set_val > set_val] :
( ( ( ~ ! [SY856: set_val,SY857: set_val] :
( ~ ( ord_less_eq_set_val @ SY856 @ SY857 )
| ( ord_less_eq_set_val @ ( SV232 @ SY857 ) @ ( SV232 @ SY856 ) ) ) )
= $false )
| ( ( ord_less_eq_set_val @ ( SV232 @ ( sK13_SY1047 @ SV232 ) ) @ ( SV232 @ ( sK12_SY856 @ SV232 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2171]) ).
thf(2348,plain,
! [SV234: set_val > val,SV108: val,SV387: set_val,SV326: set_val] :
( ( ( ! [SY1069: set_val] :
( ~ ( ord_less_eq_set_val @ ( sK40_SY860 @ SV326 @ SV387 @ SV108 @ SV234 ) @ SY1069 )
| ( ord_less_eq_val @ ( SV234 @ ( sK40_SY860 @ SV326 @ SV387 @ SV108 @ SV234 ) ) @ ( SV234 @ SY1069 ) ) ) )
= $false )
| ( ( ord_less_eq_val @ SV108 @ ( SV234 @ SV387 ) )
= $true )
| ( ( ord_less_eq_set_val @ SV326 @ SV387 )
= $false )
| ( ( SV108
= ( SV234 @ SV326 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2172]) ).
thf(2349,plain,
! [SV327: set_val > val,SV109: set_val,SV388: val,SV235: set_val] :
( ( ( ! [SY1070: set_val] :
( ~ ( ord_less_eq_set_val @ ( sK41_SY976 @ SV235 @ SV388 @ SV109 @ SV327 ) @ SY1070 )
| ( ord_less_eq_val @ ( SV327 @ ( sK41_SY976 @ SV235 @ SV388 @ SV109 @ SV327 ) ) @ ( SV327 @ SY1070 ) ) ) )
= $false )
| ( ( ord_less_eq_val @ ( SV327 @ SV109 ) @ SV388 )
= $true )
| ( ( ord_less_eq_val @ ( SV327 @ SV235 ) @ SV388 )
= $false )
| ( ( ord_less_eq_set_val @ SV109 @ SV235 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2173]) ).
thf(2350,plain,
! [SV328: set_set_val > set_val,SV110: set_set_val,SV389: set_val,SV236: set_set_val] :
( ( ( ! [SY1071: set_set_val] :
( ~ ( ord_le1742111550et_val @ ( sK42_SY979 @ SV236 @ SV389 @ SV110 @ SV328 ) @ SY1071 )
| ( ord_less_eq_set_val @ ( SV328 @ ( sK42_SY979 @ SV236 @ SV389 @ SV110 @ SV328 ) ) @ ( SV328 @ SY1071 ) ) ) )
= $false )
| ( ( ord_less_eq_set_val @ ( SV328 @ SV110 ) @ SV389 )
= $true )
| ( ( ( SV328 @ SV236 )
= SV389 )
= $false )
| ( ( ord_le1742111550et_val @ SV110 @ SV236 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2174]) ).
thf(2351,plain,
! [SV330: set_val,SV390: set_val,SV238: set_val,SV112: $o] :
( ( ( ~ ~ SV112 )
= $false )
| ( ( ord_less_eq_set_val @ ( if_set_val @ SV112 @ SV238 @ SV390 ) @ SV330 )
= $true )
| ( SV112 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2175]) ).
thf(2352,plain,
! [SV238: set_val,SV112: $o,SV330: set_val,SV390: set_val] :
( ( ( ord_less_eq_set_val @ SV390 @ SV330 )
= $false )
| ( ( ord_less_eq_set_val @ ( if_set_val @ SV112 @ SV238 @ SV390 ) @ SV330 )
= $true )
| ( SV112 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2175]) ).
thf(2353,plain,
! [SV330: set_val,SV390: set_val,SV238: set_val,SV112: $o] :
( ( ( ~ SV112 ) = $true )
| ( ( ord_less_eq_set_val @ ( if_set_val @ SV112 @ SV238 @ SV390 ) @ SV330 )
= $true )
| ( ( ord_less_eq_set_val @ SV238 @ SV330 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2176]) ).
thf(2354,plain,
! [SV331: set_val,SV391: set_val,SV239: set_val] :
( ( ( ~ ~ $true )
= $false )
| ( ( ord_less_eq_set_val @ ( if_set_val @ $true @ SV239 @ SV391 ) @ SV331 )
= $true )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2178]) ).
thf(2355,plain,
! [SV239: set_val,SV331: set_val,SV391: set_val] :
( ( ( ord_less_eq_set_val @ SV391 @ SV331 )
= $false )
| ( ( ord_less_eq_set_val @ ( if_set_val @ $true @ SV239 @ SV391 ) @ SV331 )
= $true )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2178]) ).
thf(2356,plain,
! [SV331: set_val,SV391: set_val,SV239: set_val] :
( ( ( ~ $true ) = $true )
| ( ( ord_less_eq_set_val @ ( if_set_val @ $true @ SV239 @ SV391 ) @ SV331 )
= $true )
| ( ( ord_less_eq_set_val @ SV239 @ SV331 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2179]) ).
thf(2357,plain,
! [SV332: set_val,SV392: set_val,SV240: set_val] :
( ( ( ~ ~ $false )
= $false )
| ( ( ord_less_eq_set_val @ ( if_set_val @ $false @ SV240 @ SV392 ) @ SV332 )
= $true )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2181]) ).
thf(2358,plain,
! [SV240: set_val,SV332: set_val,SV392: set_val] :
( ( ( ord_less_eq_set_val @ SV392 @ SV332 )
= $false )
| ( ( ord_less_eq_set_val @ ( if_set_val @ $false @ SV240 @ SV392 ) @ SV332 )
= $true )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2181]) ).
thf(2359,plain,
! [SV332: set_val,SV392: set_val,SV240: set_val] :
( ( ( ~ $false ) = $true )
| ( ( ord_less_eq_set_val @ ( if_set_val @ $false @ SV240 @ SV392 ) @ SV332 )
= $true )
| ( ( ord_less_eq_set_val @ SV240 @ SV332 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2182]) ).
thf(2360,plain,
! [SV241: set_val > set_val,SV113: set_val,SV393: set_val,SV333: set_val] :
( ( ( ! [SY1072: set_val] :
( ~ ( ord_less_eq_set_val @ ( sK43_SY879 @ SV333 @ SV393 @ SV113 @ SV241 ) @ SY1072 )
| ( ord_less_eq_set_val @ ( SV241 @ ( sK43_SY879 @ SV333 @ SV393 @ SV113 @ SV241 ) ) @ ( SV241 @ SY1072 ) ) ) )
= $false )
| ( ( ord_less_eq_set_val @ SV113 @ ( SV241 @ SV393 ) )
= $true )
| ( ( ord_less_eq_set_val @ SV333 @ SV393 )
= $false )
| ( ( SV113
= ( SV241 @ SV333 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2184]) ).
thf(2361,plain,
! [SV243: set_val,SV334: set_val > $o,SV115: set_val > $o] :
( ( ( ~ ! [SY988: set_val] :
( ~ ( SV115 @ SY988 )
| ~ ! [SY677: set_val] :
( ~ ( SV115 @ SY677 )
| ( ord_less_eq_set_val @ SY677 @ SY988 ) )
| ( SV334 @ SY988 ) ) )
= $true )
| ( ( SV334 @ ( order_1960465943et_val @ SV115 ) )
= $true )
| ( ( SV115 @ ( sK14_SY882 @ SV334 @ SV243 @ SV115 ) )
= $true )
| ( ( SV115 @ SV243 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2185]) ).
thf(2362,plain,
! [SV243: set_val,SV334: set_val > $o,SV115: set_val > $o] :
( ( ( ! [SY988: set_val] :
( ~ ( SV115 @ SY988 )
| ~ ! [SY677: set_val] :
( ~ ( SV115 @ SY677 )
| ( ord_less_eq_set_val @ SY677 @ SY988 ) )
| ( SV334 @ SY988 ) ) )
= $false )
| ( ( SV334 @ ( order_1960465943et_val @ SV115 ) )
= $true )
| ( ( ord_less_eq_set_val @ ( sK14_SY882 @ SV334 @ SV243 @ SV115 ) @ SV243 )
= $false )
| ( ( SV115 @ SV243 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2186]) ).
thf(2363,plain,
! [SV394: set_val,SV244: set_val] :
( ( ( ord_less_set_val @ SV244 @ SV394 )
= $true )
| ( ( ord_less_set_val @ SV244 @ SV394 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2187]) ).
thf(2364,plain,
! [SV394: set_val,SV244: set_val] :
( ( ( ~ ( ~ ( ord_less_eq_set_val @ SV244 @ SV394 )
| ~ ( ( SV394 != SV244 ) ) ) )
= $true )
| ( ( ord_less_set_val @ SV244 @ SV394 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2188]) ).
thf(2365,plain,
! [SV394: set_val,SV244: set_val] :
( ( ( ord_less_eq_set_val @ SV244 @ SV394 )
= $false )
| ( ( ~ ( ( SV394 != SV244 ) ) )
= $true )
| ( ( ~ ( ~ ( ord_less_set_val @ SV244 @ SV394 )
| ~ ~ ( ~ ( ord_less_eq_set_val @ SV244 @ SV394 )
| ~ ( ( SV394 != SV244 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2189]) ).
thf(2366,plain,
! [SV245: set_val,SV336: set_val,SV117: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV117 @ SV336 )
| ~ ( ord_less_eq_set_val @ SV245 @ SV336 ) )
= $false )
| ( ( ord_less_eq_set_val @ ( sup_sup_set_val @ SV117 @ SV245 ) @ SV336 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2191]) ).
thf(2367,plain,
! [SV117: set_val,SV336: set_val,SV245: set_val] :
( ( ( ord_less_eq_set_val @ SV245 @ SV336 )
= $false )
| ( ( ord_less_eq_set_val @ SV117 @ SV336 )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_val @ ( sup_sup_set_val @ SV117 @ SV245 ) @ SV336 )
| ~ ~ ( ~ ( ord_less_eq_set_val @ SV117 @ SV336 )
| ~ ( ord_less_eq_set_val @ SV245 @ SV336 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2192]) ).
thf(2368,plain,
! [SV118: set_val > set_val,SV246: set_val > set_val] :
( ( ( ord_less_eq_set_val @ ( sK4_SY887 @ SV246 @ SV118 ) @ ( SV118 @ ( sK8_SY1045 @ SV118 @ SV246 ) ) )
= $false )
| ( ( ~ ( ord_less_eq_set_val @ ( SV246 @ ( sK4_SY887 @ SV246 @ SV118 ) ) @ ( sK8_SY1045 @ SV118 @ SV246 ) ) )
= $true )
| ( ( refine1929691018et_val @ SV246 @ SV118 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2194]) ).
thf(2369,plain,
! [SV125: set_val > set_val,SV395: set_val,SV253: set_val > set_val,SV340: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV340 @ ( SV253 @ SV395 ) )
| ~ ( ord_less_eq_set_val @ ( SV125 @ SV340 ) @ SV395 ) )
= $false )
| ( ( ord_less_eq_set_val @ SV340 @ ( SV253 @ SV395 ) )
= $false )
| ( ( refine1929691018et_val @ SV125 @ SV253 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2195]) ).
thf(2370,plain,
! [SV125: set_val > set_val,SV395: set_val,SV253: set_val > set_val,SV340: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV340 @ ( SV253 @ SV395 ) )
| ~ ( ord_less_eq_set_val @ ( SV125 @ SV340 ) @ SV395 ) )
= $false )
| ( ( ord_less_eq_set_val @ ( SV125 @ SV340 ) @ SV395 )
= $false )
| ( ( refine1929691018et_val @ SV125 @ SV253 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2196]) ).
thf(2371,plain,
! [SV342: $o > set_val,SV403: $o,SV130: $o > set_val] :
( ( ( ord_less_eq_set_val @ ( SV130 @ SV403 ) @ ( SV342 @ SV403 ) )
= $true )
| ( ( ord_le994826475et_val @ SV130 @ SV342 )
= $false ) ),
inference(extcnf_forall_special_pos,[status(thm)],[2198]) ).
thf(2372,plain,
! [SV342: $o > set_val,SV130: $o > set_val] :
( ( ( ord_less_eq_set_val @ ( SV130 @ $true ) @ ( SV342 @ $true ) )
= $true )
| ( ( ord_le994826475et_val @ SV130 @ SV342 )
= $false ) ),
inference(extcnf_forall_special_pos,[status(thm)],[2198]) ).
thf(2373,plain,
! [SV342: $o > set_val,SV130: $o > set_val] :
( ( ( ord_less_eq_set_val @ ( SV130 @ $false ) @ ( SV342 @ $false ) )
= $true )
| ( ( ord_le994826475et_val @ SV130 @ SV342 )
= $false ) ),
inference(extcnf_forall_special_pos,[status(thm)],[2198]) ).
thf(2374,plain,
! [SV342: $o > set_val,SV130: $o > set_val] :
( ( ( ord_le994826475et_val @ SV130 @ SV342 )
= $true )
| ( ( ord_less_eq_set_val @ ( SV130 @ ( sK15_SY991 @ SV342 @ SV130 ) ) @ ( SV342 @ ( sK15_SY991 @ SV342 @ SV130 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2199]) ).
thf(2375,plain,
! [SV342: $o > set_val,SV130: $o > set_val] :
( ( ( ! [SY991: $o] : ( ord_less_eq_set_val @ ( SV130 @ SY991 ) @ ( SV342 @ SY991 ) ) )
= $true )
| ( ( ord_less_eq_set_val @ ( SV130 @ ( sK15_SY991 @ SV342 @ SV130 ) ) @ ( SV342 @ ( sK15_SY991 @ SV342 @ SV130 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2200]) ).
thf(2376,plain,
! [SV131: set_val > set_val,SV343: set_val > set_val,SV404: set_val] :
( ( ( ! [SY1073: set_val] :
( ( ord_less_eq_set_val @ SV404 @ ( SV343 @ SY1073 ) )
= ( ord_less_eq_set_val @ ( SV131 @ SV404 ) @ SY1073 ) ) )
= $true )
| ( ( refine1929691018et_val @ SV131 @ SV343 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2202]) ).
thf(2377,plain,
! [SV343: set_val > set_val,SV131: set_val > set_val] :
( ( ( ~ ( ( ord_less_eq_set_val @ ( sK16_SY992 @ SV131 @ SV343 ) @ ( SV343 @ ( sK19_SY1048 @ SV343 @ SV131 ) ) )
| ( ord_less_eq_set_val @ ( SV131 @ ( sK16_SY992 @ SV131 @ SV343 ) ) @ ( sK19_SY1048 @ SV343 @ SV131 ) ) ) )
= $false )
| ( ( ~ ( ~ ( refine1929691018et_val @ SV131 @ SV343 )
| ~ ! [SY992: set_val,SY993: set_val] :
( ( ord_less_eq_set_val @ SY992 @ ( SV343 @ SY993 ) )
= ( ord_less_eq_set_val @ ( SV131 @ SY992 ) @ SY993 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2203]) ).
thf(2378,plain,
! [SV343: set_val > set_val,SV131: set_val > set_val] :
( ( ( ~ ( ~ ( ord_less_eq_set_val @ ( sK16_SY992 @ SV131 @ SV343 ) @ ( SV343 @ ( sK19_SY1048 @ SV343 @ SV131 ) ) )
| ~ ( ord_less_eq_set_val @ ( SV131 @ ( sK16_SY992 @ SV131 @ SV343 ) ) @ ( sK19_SY1048 @ SV343 @ SV131 ) ) ) )
= $false )
| ( ( ~ ( ~ ( refine1929691018et_val @ SV131 @ SV343 )
| ~ ! [SY992: set_val,SY993: set_val] :
( ( ord_less_eq_set_val @ SY992 @ ( SV343 @ SY993 ) )
= ( ord_less_eq_set_val @ ( SV131 @ SY992 ) @ SY993 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2203]) ).
thf(2379,plain,
! [SV343: set_val > set_val,SV131: set_val > set_val] :
( ( ( ~ ( refine1929691018et_val @ SV131 @ SV343 )
| ~ ! [SY992: set_val,SY993: set_val] :
( ( ord_less_eq_set_val @ SY992 @ ( SV343 @ SY993 ) )
= ( ord_less_eq_set_val @ ( SV131 @ SY992 ) @ SY993 ) ) )
= $false )
| ( ( ( ord_less_eq_set_val @ ( sK16_SY992 @ SV131 @ SV343 ) @ ( SV343 @ ( sK19_SY1048 @ SV343 @ SV131 ) ) )
= ( ord_less_eq_set_val @ ( SV131 @ ( sK16_SY992 @ SV131 @ SV343 ) ) @ ( sK19_SY1048 @ SV343 @ SV131 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2204]) ).
thf(2380,plain,
! [SV344: set_val,SV133: set_val] :
( ( ( ord_less_set_val @ SV133 @ SV344 )
= $true )
| ( ( SV133 = SV344 )
= $true )
| ( ( ord_less_eq_set_val @ SV133 @ SV344 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2206]) ).
thf(2381,plain,
! [SV344: set_val,SV133: set_val] :
( ( ( ord_less_eq_set_val @ SV133 @ SV344 )
= $true )
| ( ( ord_less_set_val @ SV133 @ SV344 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2207]) ).
thf(2382,plain,
! [SV344: set_val,SV133: set_val] :
( ( ( ( ord_less_set_val @ SV133 @ SV344 )
| ( SV133 = SV344 ) )
= $true )
| ( ( ord_less_set_val @ SV133 @ SV344 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2208]) ).
thf(2383,plain,
! [SV344: set_val,SV133: set_val] :
( ( ( ord_less_eq_set_val @ SV133 @ SV344 )
= $true )
| ( ( SV133 = SV344 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2209]) ).
thf(2384,plain,
! [SV344: set_val,SV133: set_val] :
( ( ( ( ord_less_set_val @ SV133 @ SV344 )
| ( SV133 = SV344 ) )
= $true )
| ( ( SV133 = SV344 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2210]) ).
thf(2385,plain,
! [SV345: set_val,SV134: set_val] :
( ( ( ord_less_set_val @ SV134 @ SV345 )
= $true )
| ( ( SV134 = SV345 )
= $true )
| ( ( ord_less_eq_set_val @ SV134 @ SV345 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2212]) ).
thf(2386,plain,
! [SV345: set_val,SV134: set_val] :
( ( ( ord_less_eq_set_val @ SV134 @ SV345 )
= $true )
| ( ( ord_less_set_val @ SV134 @ SV345 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2213]) ).
thf(2387,plain,
! [SV345: set_val,SV134: set_val] :
( ( ( ( ord_less_set_val @ SV134 @ SV345 )
| ( SV134 = SV345 ) )
= $true )
| ( ( ord_less_set_val @ SV134 @ SV345 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2214]) ).
thf(2388,plain,
! [SV345: set_val,SV134: set_val] :
( ( ( ord_less_eq_set_val @ SV134 @ SV345 )
= $true )
| ( ( SV134 = SV345 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2215]) ).
thf(2389,plain,
! [SV345: set_val,SV134: set_val] :
( ( ( ( ord_less_set_val @ SV134 @ SV345 )
| ( SV134 = SV345 ) )
= $true )
| ( ( SV134 = SV345 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2216]) ).
thf(2390,plain,
! [SV346: set_val,SV135: set_val] :
( ( ( ord_less_set_val @ SV135 @ SV346 )
= $true )
| ( ( SV346 = SV135 )
= $true )
| ( ( ord_less_eq_set_val @ SV135 @ SV346 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2218]) ).
thf(2391,plain,
! [SV346: set_val,SV135: set_val] :
( ( ( ord_less_eq_set_val @ SV135 @ SV346 )
= $true )
| ( ( ord_less_set_val @ SV135 @ SV346 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2219]) ).
thf(2392,plain,
! [SV346: set_val,SV135: set_val] :
( ( ( ( ord_less_set_val @ SV135 @ SV346 )
| ( SV346 = SV135 ) )
= $true )
| ( ( ord_less_set_val @ SV135 @ SV346 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2220]) ).
thf(2393,plain,
! [SV346: set_val,SV135: set_val] :
( ( ( ord_less_eq_set_val @ SV135 @ SV346 )
= $true )
| ( ( SV346 = SV135 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2221]) ).
thf(2394,plain,
! [SV346: set_val,SV135: set_val] :
( ( ( ( ord_less_set_val @ SV135 @ SV346 )
| ( SV346 = SV135 ) )
= $true )
| ( ( SV346 = SV135 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2222]) ).
thf(2395,plain,
! [SV347: set_val,SV136: set_val] :
( ( ( ord_less_set_val @ SV136 @ SV347 )
= $true )
| ( ( SV136 = SV347 )
= $true )
| ( ( ord_less_eq_set_val @ SV136 @ SV347 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2224]) ).
thf(2396,plain,
! [SV347: set_val,SV136: set_val] :
( ( ( ord_less_eq_set_val @ SV136 @ SV347 )
= $true )
| ( ( ord_less_set_val @ SV136 @ SV347 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2225]) ).
thf(2397,plain,
! [SV347: set_val,SV136: set_val] :
( ( ( ( ord_less_set_val @ SV136 @ SV347 )
| ( SV136 = SV347 ) )
= $true )
| ( ( ord_less_set_val @ SV136 @ SV347 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2226]) ).
thf(2398,plain,
! [SV347: set_val,SV136: set_val] :
( ( ( ord_less_eq_set_val @ SV136 @ SV347 )
= $true )
| ( ( SV136 = SV347 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2227]) ).
thf(2399,plain,
! [SV347: set_val,SV136: set_val] :
( ( ( ( ord_less_set_val @ SV136 @ SV347 )
| ( SV136 = SV347 ) )
= $true )
| ( ( SV136 = SV347 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2228]) ).
thf(2400,plain,
! [SV17: $o] :
( ( ( SV17
| $false )
= $false )
| ( ( ~ ( ~ SV17
| ~ $false ) )
= $true )
| ( SV17 = $false )
| ( SV17 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[2241]) ).
thf(2401,plain,
! [SV17: $o] :
( ( ( SV17
| $false )
= $false )
| ( ( ~ ( ~ SV17
| ~ $false ) )
= $true )
| ( SV17 = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[2242]) ).
thf(2402,plain,
! [SV17: $o] :
( ( ( SV17
| $false )
= $false )
| ( ( ~ ( ~ SV17
| ~ $false ) )
= $true )
| ( $true = $false )
| ( SV17 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[2243]) ).
thf(2403,plain,
! [SV17: $o] :
( ( ( SV17
| $false )
= $false )
| ( ( ~ ( ~ SV17
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[2244]) ).
thf(2404,plain,
( ( ( $true
| $false )
= $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[2245]) ).
thf(2405,plain,
( ( ( $true
| $false )
= $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[2246]) ).
thf(2406,plain,
( ( ( $true
| $false )
= $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[2247]) ).
thf(2407,plain,
( ( ( $true
| $false )
= $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[2248]) ).
thf(2408,plain,
( ( ( $false
| $false )
= $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[2249]) ).
thf(2409,plain,
( ( ( $false
| $false )
= $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[2250]) ).
thf(2410,plain,
( ( ( $false
| $false )
= $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[2251]) ).
thf(2411,plain,
( ( ( $false
| $false )
= $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[2252]) ).
thf(2412,plain,
! [SV266: set_val,SV144: set_val,SV19: set_val > set_val > set_val] :
( ( ( ~ ! [SY441: set_val,SY442: set_val,SY443: set_val] :
( ~ ( ord_less_eq_set_val @ SY442 @ SY441 )
| ~ ( ord_less_eq_set_val @ SY443 @ SY441 )
| ( ord_less_eq_set_val @ ( SV19 @ SY442 @ SY443 ) @ SY441 ) ) )
= $true )
| ( ( ( sup_sup_set_val @ SV144 @ SV266 )
= ( SV19 @ SV144 @ SV266 ) )
= $true )
| ( ( ord_less_eq_set_val @ ( sK21_SY1049 @ SV144 @ SV266 @ SV19 ) @ ( SV19 @ ( sK20_SY439 @ SV266 @ SV144 @ SV19 ) @ ( sK21_SY1049 @ SV144 @ SV266 @ SV19 ) ) )
= $false )
| ( ( ord_less_eq_set_val @ ( sK7_SY437 @ SV266 @ SV144 @ SV19 ) @ ( SV19 @ ( sK7_SY437 @ SV266 @ SV144 @ SV19 ) @ ( sK9_SY1046 @ SV19 @ SV144 @ SV266 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2253]) ).
thf(2413,plain,
! [SV147: val > set_val,SV22: set_val,SV351: val,SV268: val] :
( ( ( ~ ( ord_less_eq_val @ ( sK22_SY726 @ SV268 @ SV351 @ SV22 @ SV147 ) @ ( sK44_SY1051 @ SV147 @ SV22 @ SV351 @ SV268 ) )
| ( ord_less_eq_set_val @ ( SV147 @ ( sK22_SY726 @ SV268 @ SV351 @ SV22 @ SV147 ) ) @ ( SV147 @ ( sK44_SY1051 @ SV147 @ SV22 @ SV351 @ SV268 ) ) ) )
= $false )
| ( ( ord_less_eq_set_val @ SV22 @ ( SV147 @ SV351 ) )
= $true )
| ( ( ord_less_eq_val @ SV268 @ SV351 )
= $false )
| ( ( ord_less_eq_set_val @ SV22 @ ( SV147 @ SV268 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2254]) ).
thf(2414,plain,
! [SV269: set_val > set_set_val,SV24: set_val,SV352: set_set_val,SV148: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ ( sK23_SY910 @ SV148 @ SV352 @ SV24 @ SV269 ) @ ( sK45_SY1052 @ SV269 @ SV24 @ SV352 @ SV148 ) )
| ( ord_le1742111550et_val @ ( SV269 @ ( sK23_SY910 @ SV148 @ SV352 @ SV24 @ SV269 ) ) @ ( SV269 @ ( sK45_SY1052 @ SV269 @ SV24 @ SV352 @ SV148 ) ) ) )
= $false )
| ( ( ord_le1742111550et_val @ ( SV269 @ SV24 ) @ SV352 )
= $true )
| ( ( ord_le1742111550et_val @ ( SV269 @ SV148 ) @ SV352 )
= $false )
| ( ( ord_less_eq_set_val @ SV24 @ SV148 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2255]) ).
thf(2415,plain,
! [SV353: set_val,SV149: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV149 @ SV353 )
| ~ ( ( SV149 != SV353 ) ) )
= $false )
| ( ( ord_less_set_val @ SV149 @ SV353 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2257]) ).
thf(2416,plain,
! [SV353: set_val,SV149: set_val] :
( ( ( SV149 != SV353 )
= $false )
| ( ( ord_less_eq_set_val @ SV149 @ SV353 )
= $false )
| ( ( ~ ( ~ ( ord_less_set_val @ SV149 @ SV353 )
| ~ ~ ( ~ ( ord_less_eq_set_val @ SV149 @ SV353 )
| ~ ( ( SV149 != SV353 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2258]) ).
thf(2417,plain,
! [SV354: set_val,SV150: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV150 @ SV354 )
| ~ ( ord_less_eq_set_val @ SV354 @ SV150 ) )
= $false )
| ( ( SV150 = SV354 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2260]) ).
thf(2418,plain,
! [SV150: set_val,SV354: set_val] :
( ( ( ord_less_eq_set_val @ SV354 @ SV150 )
= $false )
| ( ( ord_less_eq_set_val @ SV150 @ SV354 )
= $false )
| ( ( ~ ( ( SV150 != SV354 )
| ~ ~ ( ~ ( ord_less_eq_set_val @ SV150 @ SV354 )
| ~ ( ord_less_eq_set_val @ SV354 @ SV150 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2261]) ).
thf(2419,plain,
! [SV151: set_val > set_set_val,SV27: set_set_val,SV355: set_val,SV272: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ ( sK24_SY737 @ SV272 @ SV355 @ SV27 @ SV151 ) @ ( sK46_SY1053 @ SV151 @ SV27 @ SV355 @ SV272 ) )
| ( ord_le1742111550et_val @ ( SV151 @ ( sK24_SY737 @ SV272 @ SV355 @ SV27 @ SV151 ) ) @ ( SV151 @ ( sK46_SY1053 @ SV151 @ SV27 @ SV355 @ SV272 ) ) ) )
= $false )
| ( ( ord_le1742111550et_val @ SV27 @ ( SV151 @ SV355 ) )
= $true )
| ( ( ord_less_eq_set_val @ SV272 @ SV355 )
= $false )
| ( ( ord_le1742111550et_val @ SV27 @ ( SV151 @ SV272 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2262]) ).
thf(2420,plain,
! [SV356: set_val,SV152: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV152 @ SV356 )
| ~ ~ ( ord_less_eq_set_val @ SV356 @ SV152 ) )
= $false )
| ( ( ord_less_set_val @ SV152 @ SV356 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2264]) ).
thf(2421,plain,
! [SV152: set_val,SV356: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV356 @ SV152 ) )
= $false )
| ( ( ord_less_eq_set_val @ SV152 @ SV356 )
= $false )
| ( ( ~ ( ~ ( ord_less_set_val @ SV152 @ SV356 )
| ~ ~ ( ~ ( ord_less_eq_set_val @ SV152 @ SV356 )
| ~ ~ ( ord_less_eq_set_val @ SV356 @ SV152 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2265]) ).
thf(2422,plain,
! [SV357: set_val,SV153: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV153 @ SV357 )
| ~ ( ( SV153 != SV357 ) ) )
= $false )
| ( ( ord_less_set_val @ SV153 @ SV357 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2267]) ).
thf(2423,plain,
! [SV357: set_val,SV153: set_val] :
( ( ( SV153 != SV357 )
= $false )
| ( ( ord_less_eq_set_val @ SV153 @ SV357 )
= $false )
| ( ( ~ ( ~ ( ord_less_set_val @ SV153 @ SV357 )
| ~ ~ ( ~ ( ord_less_eq_set_val @ SV153 @ SV357 )
| ~ ( ( SV153 != SV357 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2268]) ).
thf(2424,plain,
! [SV156: set_val,SV275: set_val,SV32: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV32 @ SV275 ) )
= $false )
| ( ( ord_less_eq_set_val @ ( sup_sup_set_val @ SV32 @ SV156 ) @ SV275 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2269]) ).
thf(2425,plain,
! [SV32: set_val,SV275: set_val,SV156: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV156 @ SV275 ) )
= $false )
| ( ( ord_less_eq_set_val @ ( sup_sup_set_val @ SV32 @ SV156 ) @ SV275 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2269]) ).
thf(2426,plain,
! [SV275: set_val,SV156: set_val,SV32: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ ( sup_sup_set_val @ SV32 @ SV156 ) @ SV275 )
| ~ ~ ( ~ ( ord_less_eq_set_val @ SV32 @ SV275 )
| ~ ( ord_less_eq_set_val @ SV156 @ SV275 ) ) )
= $false )
| ( ( ord_less_eq_set_val @ SV32 @ SV275 )
= $false )
| ( ( ord_less_eq_set_val @ SV156 @ SV275 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2270]) ).
thf(2427,plain,
! [SV157: set_val > val,SV33: val,SV358: set_val,SV276: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ ( sK25_SY744 @ SV276 @ SV358 @ SV33 @ SV157 ) @ ( sK47_SY1054 @ SV157 @ SV33 @ SV358 @ SV276 ) )
| ( ord_less_eq_val @ ( SV157 @ ( sK25_SY744 @ SV276 @ SV358 @ SV33 @ SV157 ) ) @ ( SV157 @ ( sK47_SY1054 @ SV157 @ SV33 @ SV358 @ SV276 ) ) ) )
= $false )
| ( ( ord_less_eq_val @ SV33 @ ( SV157 @ SV358 ) )
= $true )
| ( ( ord_less_eq_set_val @ SV276 @ SV358 )
= $false )
| ( ( ord_less_eq_val @ SV33 @ ( SV157 @ SV276 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2271]) ).
thf(2428,plain,
! [SV159: set_val,SV277: set_val,SV35: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV35 @ SV277 ) )
= $false )
| ( ( ord_less_eq_set_val @ ( sup_sup_set_val @ SV35 @ SV159 ) @ SV277 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2272]) ).
thf(2429,plain,
! [SV35: set_val,SV277: set_val,SV159: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV159 @ SV277 ) )
= $false )
| ( ( ord_less_eq_set_val @ ( sup_sup_set_val @ SV35 @ SV159 ) @ SV277 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2272]) ).
thf(2430,plain,
! [SV277: set_val,SV159: set_val,SV35: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ ( sup_sup_set_val @ SV35 @ SV159 ) @ SV277 )
| ~ ~ ( ~ ( ord_less_eq_set_val @ SV35 @ SV277 )
| ~ ( ord_less_eq_set_val @ SV159 @ SV277 ) ) )
= $false )
| ( ( ord_less_eq_set_val @ SV35 @ SV277 )
= $false )
| ( ( ord_less_eq_set_val @ SV159 @ SV277 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2273]) ).
thf(2431,plain,
! [SV278: set_val > set_set_val,SV36: set_val,SV359: set_set_val,SV160: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ ( sK26_SY919 @ SV160 @ SV359 @ SV36 @ SV278 ) @ ( sK48_SY1055 @ SV278 @ SV36 @ SV359 @ SV160 ) )
| ( ord_le1742111550et_val @ ( SV278 @ ( sK26_SY919 @ SV160 @ SV359 @ SV36 @ SV278 ) ) @ ( SV278 @ ( sK48_SY1055 @ SV278 @ SV36 @ SV359 @ SV160 ) ) ) )
= $false )
| ( ( ord_le1742111550et_val @ ( SV278 @ SV36 ) @ SV359 )
= $true )
| ( ( ( SV278 @ SV160 )
= SV359 )
= $false )
| ( ( ord_less_eq_set_val @ SV36 @ SV160 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2274]) ).
thf(2432,plain,
! [SV279: val > set_val,SV38: val,SV360: set_val,SV162: val] :
( ( ( ~ ( ord_less_eq_val @ ( sK27_SY922 @ SV162 @ SV360 @ SV38 @ SV279 ) @ ( sK49_SY1056 @ SV279 @ SV38 @ SV360 @ SV162 ) )
| ( ord_less_eq_set_val @ ( SV279 @ ( sK27_SY922 @ SV162 @ SV360 @ SV38 @ SV279 ) ) @ ( SV279 @ ( sK49_SY1056 @ SV279 @ SV38 @ SV360 @ SV162 ) ) ) )
= $false )
| ( ( ord_less_eq_set_val @ ( SV279 @ SV38 ) @ SV360 )
= $true )
| ( ( ( SV279 @ SV162 )
= SV360 )
= $false )
| ( ( ord_less_eq_val @ SV38 @ SV162 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2275]) ).
thf(2433,plain,
! [SV282: set_val > set_val,SV42: set_val,SV361: set_val,SV166: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ ( sK28_SY925 @ SV166 @ SV361 @ SV42 @ SV282 ) @ ( sK50_SY1057 @ SV282 @ SV42 @ SV361 @ SV166 ) )
| ( ord_less_eq_set_val @ ( SV282 @ ( sK28_SY925 @ SV166 @ SV361 @ SV42 @ SV282 ) ) @ ( SV282 @ ( sK50_SY1057 @ SV282 @ SV42 @ SV361 @ SV166 ) ) ) )
= $false )
| ( ( ord_less_eq_set_val @ ( SV282 @ SV42 ) @ SV361 )
= $true )
| ( ( ord_less_eq_set_val @ ( SV282 @ SV166 ) @ SV361 )
= $false )
| ( ( ord_less_eq_set_val @ SV42 @ SV166 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2276]) ).
thf(2434,plain,
! [SV362: set_val,SV167: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV167 @ SV362 )
| ~ ( ord_less_eq_set_val @ SV362 @ SV167 ) )
= $false )
| ( ( SV167 = SV362 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2278]) ).
thf(2435,plain,
! [SV167: set_val,SV362: set_val] :
( ( ( ord_less_eq_set_val @ SV362 @ SV167 )
= $false )
| ( ( ord_less_eq_set_val @ SV167 @ SV362 )
= $false )
| ( ( ~ ( ( SV167 != SV362 )
| ~ ~ ( ~ ( ord_less_eq_set_val @ SV167 @ SV362 )
| ~ ( ord_less_eq_set_val @ SV362 @ SV167 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2279]) ).
thf(2436,plain,
! [SV168: val > $o,SV400: val,SV44: val > $o] :
( ( ( SV44 @ SV400 )
= $false )
| ( ( SV168 @ SV400 )
= $true )
| ( ( ord_less_eq_set_val @ ( collect_val @ SV44 ) @ ( collect_val @ SV168 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2280]) ).
thf(2437,plain,
! [SV168: val > $o,SV44: val > $o] :
( ( ( ord_less_eq_set_val @ ( collect_val @ SV44 ) @ ( collect_val @ SV168 ) )
= $true )
| ( ( SV44 @ ( sK10_SY763 @ SV168 @ SV44 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2281]) ).
thf(2438,plain,
! [SV168: val > $o,SV44: val > $o] :
( ( ( ! [SY763: val] :
( ~ ( SV44 @ SY763 )
| ( SV168 @ SY763 ) ) )
= $true )
| ( ( SV44 @ ( sK10_SY763 @ SV168 @ SV44 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2282]) ).
thf(2439,plain,
! [SV168: val > $o,SV405: val,SV44: val > $o] :
( ( ( ~ ( SV44 @ SV405 )
| ( SV168 @ SV405 ) )
= $true )
| ( ( SV168 @ ( sK10_SY763 @ SV168 @ SV44 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2284]) ).
thf(2440,plain,
! [SV169: set_val > set_set_val,SV45: set_set_val,SV363: set_val,SV284: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ ( sK29_SY766 @ SV284 @ SV363 @ SV45 @ SV169 ) @ ( sK51_SY1058 @ SV169 @ SV45 @ SV363 @ SV284 ) )
| ( ord_le1742111550et_val @ ( SV169 @ ( sK29_SY766 @ SV284 @ SV363 @ SV45 @ SV169 ) ) @ ( SV169 @ ( sK51_SY1058 @ SV169 @ SV45 @ SV363 @ SV284 ) ) ) )
= $false )
| ( ( ord_le1742111550et_val @ SV45 @ ( SV169 @ SV363 ) )
= $true )
| ( ( ord_less_eq_set_val @ SV284 @ SV363 )
= $false )
| ( ( SV45
= ( SV169 @ SV284 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2285]) ).
thf(2441,plain,
! [SV285: set_set_val > set_val,SV46: set_set_val,SV364: set_val,SV170: set_set_val] :
( ( ( ~ ( ord_le1742111550et_val @ ( sK30_SY931 @ SV170 @ SV364 @ SV46 @ SV285 ) @ ( sK52_SY1059 @ SV285 @ SV46 @ SV364 @ SV170 ) )
| ( ord_less_eq_set_val @ ( SV285 @ ( sK30_SY931 @ SV170 @ SV364 @ SV46 @ SV285 ) ) @ ( SV285 @ ( sK52_SY1059 @ SV285 @ SV46 @ SV364 @ SV170 ) ) ) )
= $false )
| ( ( ord_less_eq_set_val @ ( SV285 @ SV46 ) @ SV364 )
= $true )
| ( ( ord_less_eq_set_val @ ( SV285 @ SV170 ) @ SV364 )
= $false )
| ( ( ord_le1742111550et_val @ SV46 @ SV170 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2286]) ).
thf(2442,plain,
! [SV173: set_set_val > set_val,SV49: set_val,SV366: set_set_val,SV287: set_set_val] :
( ( ( ~ ( ord_le1742111550et_val @ ( sK31_SY776 @ SV287 @ SV366 @ SV49 @ SV173 ) @ ( sK53_SY1060 @ SV173 @ SV49 @ SV366 @ SV287 ) )
| ( ord_less_eq_set_val @ ( SV173 @ ( sK31_SY776 @ SV287 @ SV366 @ SV49 @ SV173 ) ) @ ( SV173 @ ( sK53_SY1060 @ SV173 @ SV49 @ SV366 @ SV287 ) ) ) )
= $false )
| ( ( ord_less_eq_set_val @ SV49 @ ( SV173 @ SV366 ) )
= $true )
| ( ( ord_le1742111550et_val @ SV287 @ SV366 )
= $false )
| ( ( SV49
= ( SV173 @ SV287 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2287]) ).
thf(2443,plain,
! [SV367: set_val,SV175: set_val,SV406: val] :
( ( ( ~ ( member_val @ SV406 @ SV175 )
| ( member_val @ SV406 @ SV367 ) )
= $true )
| ( ( ord_less_eq_set_val @ SV175 @ SV367 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2289]) ).
thf(2444,plain,
! [SV367: set_val,SV175: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV175 @ SV367 )
| ~ ! [SY1014: val] :
( ~ ( member_val @ SY1014 @ SV175 )
| ( member_val @ SY1014 @ SV367 ) ) )
= $false )
| ( ( member_val @ ( sK17_SY1014 @ SV367 @ SV175 ) @ SV175 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2290]) ).
thf(2445,plain,
! [SV367: set_val,SV175: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV175 @ SV367 ) )
= $false )
| ( ( member_val @ ( sK17_SY1014 @ SV367 @ SV175 ) @ SV367 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2291]) ).
thf(2446,plain,
! [SV367: set_val,SV175: set_val] :
( ( ( ~ ! [SY1014: val] :
( ~ ( member_val @ SY1014 @ SV175 )
| ( member_val @ SY1014 @ SV367 ) ) )
= $false )
| ( ( member_val @ ( sK17_SY1014 @ SV367 @ SV175 ) @ SV367 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2291]) ).
thf(2447,plain,
! [SV290: val > set_val,SV53: val,SV368: set_val,SV177: val] :
( ( ( ~ ( ord_less_eq_val @ ( sK32_SY939 @ SV177 @ SV368 @ SV53 @ SV290 ) @ ( sK54_SY1061 @ SV290 @ SV53 @ SV368 @ SV177 ) )
| ( ord_less_eq_set_val @ ( SV290 @ ( sK32_SY939 @ SV177 @ SV368 @ SV53 @ SV290 ) ) @ ( SV290 @ ( sK54_SY1061 @ SV290 @ SV53 @ SV368 @ SV177 ) ) ) )
= $false )
| ( ( ord_less_eq_set_val @ ( SV290 @ SV53 ) @ SV368 )
= $true )
| ( ( ord_less_eq_set_val @ ( SV290 @ SV177 ) @ SV368 )
= $false )
| ( ( ord_less_eq_val @ SV53 @ SV177 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2292]) ).
thf(2448,plain,
! [SV370: set_val,SV183: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV183 @ SV370 )
| ~ ( ord_less_eq_set_val @ SV370 @ SV183 ) )
= $false )
| ( ( SV183 = SV370 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2294]) ).
thf(2449,plain,
! [SV183: set_val,SV370: set_val] :
( ( ( ord_less_eq_set_val @ SV370 @ SV183 )
= $false )
| ( ( ord_less_eq_set_val @ SV183 @ SV370 )
= $false )
| ( ( ~ ( ( SV183 != SV370 )
| ~ ~ ( ~ ( ord_less_eq_set_val @ SV183 @ SV370 )
| ~ ( ord_less_eq_set_val @ SV370 @ SV183 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2295]) ).
thf(2450,plain,
! [SV295: set_val > set_val,SV60: set_val,SV371: set_val,SV184: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ ( sK33_SY944 @ SV184 @ SV371 @ SV60 @ SV295 ) @ ( sK55_SY1062 @ SV295 @ SV60 @ SV371 @ SV184 ) )
| ( ord_less_eq_set_val @ ( SV295 @ ( sK33_SY944 @ SV184 @ SV371 @ SV60 @ SV295 ) ) @ ( SV295 @ ( sK55_SY1062 @ SV295 @ SV60 @ SV371 @ SV184 ) ) ) )
= $false )
| ( ( ord_less_set_val @ ( SV295 @ SV60 ) @ SV371 )
= $true )
| ( ( ord_less_set_val @ ( SV295 @ SV184 ) @ SV371 )
= $false )
| ( ( ord_less_eq_set_val @ SV60 @ SV184 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2296]) ).
thf(2451,plain,
! [SV185: set_val,SV61: set_val] :
( ( ( ~ ( ord_less_set_val @ SV61 @ SV185 ) )
= $true )
| ( ( ord_less_set_val @ SV61 @ SV185 )
= $true )
| ( ( ord_less_eq_set_val @ SV61 @ SV185 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2297]) ).
thf(2452,plain,
! [SV185: set_val,SV61: set_val] :
( ( ( SV61 = SV185 )
= $true )
| ( ( ord_less_set_val @ SV61 @ SV185 )
= $true )
| ( ( ord_less_eq_set_val @ SV61 @ SV185 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2298]) ).
thf(2453,plain,
! [SV185: set_val,SV61: set_val] :
( ( ( ord_less_set_val @ SV61 @ SV185 )
= $false )
| ( ( SV61 = SV185 )
= $false )
| ( ( ord_less_eq_set_val @ SV61 @ SV185 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2299]) ).
thf(2454,plain,
! [SV297: set_val > val,SV64: set_val,SV372: val,SV188: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ ( sK34_SY947 @ SV188 @ SV372 @ SV64 @ SV297 ) @ ( sK56_SY1063 @ SV297 @ SV64 @ SV372 @ SV188 ) )
| ( ord_less_eq_val @ ( SV297 @ ( sK34_SY947 @ SV188 @ SV372 @ SV64 @ SV297 ) ) @ ( SV297 @ ( sK56_SY1063 @ SV297 @ SV64 @ SV372 @ SV188 ) ) ) )
= $false )
| ( ( ord_less_eq_val @ ( SV297 @ SV64 ) @ SV372 )
= $true )
| ( ( ( SV297 @ SV188 )
= SV372 )
= $false )
| ( ( ord_less_eq_set_val @ SV64 @ SV188 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2301]) ).
thf(2455,plain,
! [SV298: set_val > set_val,SV66: set_val,SV373: set_val,SV190: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ ( sK35_SY950 @ SV190 @ SV373 @ SV66 @ SV298 ) @ ( sK57_SY1064 @ SV298 @ SV66 @ SV373 @ SV190 ) )
| ( ord_less_eq_set_val @ ( SV298 @ ( sK35_SY950 @ SV190 @ SV373 @ SV66 @ SV298 ) ) @ ( SV298 @ ( sK57_SY1064 @ SV298 @ SV66 @ SV373 @ SV190 ) ) ) )
= $false )
| ( ( ord_less_eq_set_val @ ( SV298 @ SV66 ) @ SV373 )
= $true )
| ( ( ( SV298 @ SV190 )
= SV373 )
= $false )
| ( ( ord_less_eq_set_val @ SV66 @ SV190 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2302]) ).
thf(2456,plain,
! [SV374: $o > set_val,SV194: $o > set_val] :
( ( ( ~ ( ord_less_eq_set_val @ ( SV194 @ $false ) @ ( SV374 @ $false ) )
| ~ ( ord_less_eq_set_val @ ( SV194 @ $true ) @ ( SV374 @ $true ) ) )
= $false )
| ( ( ord_le994826475et_val @ SV194 @ SV374 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2304]) ).
thf(2457,plain,
! [SV374: $o > set_val,SV194: $o > set_val] :
( ( ( ord_less_eq_set_val @ ( SV194 @ $true ) @ ( SV374 @ $true ) )
= $false )
| ( ( ord_less_eq_set_val @ ( SV194 @ $false ) @ ( SV374 @ $false ) )
= $false )
| ( ( ~ ( ~ ( ord_le994826475et_val @ SV194 @ SV374 )
| ~ ~ ( ~ ( ord_less_eq_set_val @ ( SV194 @ $false ) @ ( SV374 @ $false ) )
| ~ ( ord_less_eq_set_val @ ( SV194 @ $true ) @ ( SV374 @ $true ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2305]) ).
thf(2458,plain,
! [SV375: set_val,SV204: set_val,SV307: set_val,SV80: set_val] :
( ( ( ~ ( ( SV80 != SV307 )
| ( SV204 != SV375 ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ord_less_eq_set_val @ SV80 @ SV204 )
| ~ ~ ( ord_less_eq_set_val @ SV307 @ SV375 ) ) )
= $true )
| ( ( ( set_or1554624499et_val @ SV80 @ SV204 )
= ( set_or1554624499et_val @ SV307 @ SV375 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2311]) ).
thf(2459,plain,
! [SV375: set_val,SV204: set_val,SV307: set_val,SV80: set_val] :
( ( ( SV80 = SV307 )
= $false )
| ( ( SV204 != SV375 )
= $true )
| ( ( ~ ( ( ( set_or1554624499et_val @ SV80 @ SV204 )
!= ( set_or1554624499et_val @ SV307 @ SV375 ) )
| ~ ( ~ ( ( SV80 != SV307 )
| ( SV204 != SV375 ) )
| ~ ( ~ ~ ( ord_less_eq_set_val @ SV80 @ SV204 )
| ~ ~ ( ord_less_eq_set_val @ SV307 @ SV375 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2312]) ).
thf(2460,plain,
! [SV375: set_val,SV307: set_val,SV204: set_val,SV80: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV80 @ SV204 ) )
= $false )
| ( ( ~ ~ ( ord_less_eq_set_val @ SV307 @ SV375 ) )
= $true )
| ( ( ~ ( ( ( set_or1554624499et_val @ SV80 @ SV204 )
!= ( set_or1554624499et_val @ SV307 @ SV375 ) )
| ~ ( ~ ( ( SV80 != SV307 )
| ( SV204 != SV375 ) )
| ~ ( ~ ~ ( ord_less_eq_set_val @ SV80 @ SV204 )
| ~ ~ ( ord_less_eq_set_val @ SV307 @ SV375 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2313]) ).
thf(2461,plain,
! [SV376: set_val,SV206: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV206 @ SV376 )
| ~ ( ( SV206 != SV376 ) ) )
= $false )
| ( ( ord_less_set_val @ SV206 @ SV376 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2315]) ).
thf(2462,plain,
! [SV376: set_val,SV206: set_val] :
( ( ( SV206 != SV376 )
= $false )
| ( ( ord_less_eq_set_val @ SV206 @ SV376 )
= $false )
| ( ( ~ ( ~ ( ord_less_set_val @ SV206 @ SV376 )
| ~ ~ ( ~ ( ord_less_eq_set_val @ SV206 @ SV376 )
| ~ ( ( SV206 != SV376 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2316]) ).
thf(2463,plain,
! [SV207: val > set_val,SV83: set_val,SV377: val,SV310: val] :
( ( ( ~ ( ord_less_eq_val @ ( sK36_SY822 @ SV310 @ SV377 @ SV83 @ SV207 ) @ ( sK58_SY1065 @ SV207 @ SV83 @ SV377 @ SV310 ) )
| ( ord_less_eq_set_val @ ( SV207 @ ( sK36_SY822 @ SV310 @ SV377 @ SV83 @ SV207 ) ) @ ( SV207 @ ( sK58_SY1065 @ SV207 @ SV83 @ SV377 @ SV310 ) ) ) )
= $false )
| ( ( ord_less_eq_set_val @ SV83 @ ( SV207 @ SV377 ) )
= $true )
| ( ( ord_less_eq_val @ SV310 @ SV377 )
= $false )
| ( ( SV83
= ( SV207 @ SV310 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2317]) ).
thf(2464,plain,
! [SV378: set_val,SV211: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV211 @ SV378 )
| ~ ~ ( ord_less_eq_set_val @ SV378 @ SV211 ) )
= $false )
| ( ( ord_less_set_val @ SV211 @ SV378 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2319]) ).
thf(2465,plain,
! [SV211: set_val,SV378: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV378 @ SV211 ) )
= $false )
| ( ( ord_less_eq_set_val @ SV211 @ SV378 )
= $false )
| ( ( ~ ( ~ ( ord_less_set_val @ SV211 @ SV378 )
| ~ ~ ( ~ ( ord_less_eq_set_val @ SV211 @ SV378 )
| ~ ~ ( ord_less_eq_set_val @ SV378 @ SV211 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2320]) ).
thf(2466,plain,
! [SV214: set_set_val > set_val,SV90: set_val,SV379: set_set_val,SV315: set_set_val] :
( ( ( ~ ( ord_le1742111550et_val @ ( sK37_SY830 @ SV315 @ SV379 @ SV90 @ SV214 ) @ ( sK59_SY1066 @ SV214 @ SV90 @ SV379 @ SV315 ) )
| ( ord_less_eq_set_val @ ( SV214 @ ( sK37_SY830 @ SV315 @ SV379 @ SV90 @ SV214 ) ) @ ( SV214 @ ( sK59_SY1066 @ SV214 @ SV90 @ SV379 @ SV315 ) ) ) )
= $false )
| ( ( ord_less_eq_set_val @ SV90 @ ( SV214 @ SV379 ) )
= $true )
| ( ( ord_le1742111550et_val @ SV315 @ SV379 )
= $false )
| ( ( ord_less_eq_set_val @ SV90 @ ( SV214 @ SV315 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2321]) ).
thf(2467,plain,
! [SV216: set_val > set_val,SV92: set_val,SV380: set_val,SV317: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ ( sK38_SY835 @ SV317 @ SV380 @ SV92 @ SV216 ) @ ( sK60_SY1067 @ SV216 @ SV92 @ SV380 @ SV317 ) )
| ( ord_less_eq_set_val @ ( SV216 @ ( sK38_SY835 @ SV317 @ SV380 @ SV92 @ SV216 ) ) @ ( SV216 @ ( sK60_SY1067 @ SV216 @ SV92 @ SV380 @ SV317 ) ) ) )
= $false )
| ( ( ord_less_set_val @ SV92 @ ( SV216 @ SV380 ) )
= $true )
| ( ( ord_less_eq_set_val @ SV317 @ SV380 )
= $false )
| ( ( ord_less_set_val @ SV92 @ ( SV216 @ SV317 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2322]) ).
thf(2468,plain,
! [SV217: set_val,SV93: set_val] :
( ( ( ord_less_eq_set_val @ SV93 @ SV217 )
= $true )
| ( ( ord_less_eq_set_val @ SV93 @ SV217 )
= $false )
| ( ( ord_less_set_val @ SV93 @ SV217 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2323]) ).
thf(2469,plain,
! [SV217: set_val,SV93: set_val] :
( ( ( SV93 = SV217 )
= $true )
| ( ( ord_less_eq_set_val @ SV93 @ SV217 )
= $false )
| ( ( ord_less_set_val @ SV93 @ SV217 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2324]) ).
thf(2470,plain,
! [SV217: set_val,SV93: set_val] :
( ( ( ord_less_eq_set_val @ SV93 @ SV217 )
= $true )
| ( ( SV93 = SV217 )
= $false )
| ( ( ord_less_set_val @ SV93 @ SV217 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2325]) ).
thf(2471,plain,
! [SV217: set_val,SV93: set_val] :
( ( ( SV93 = SV217 )
= $true )
| ( ( SV93 = SV217 )
= $false )
| ( ( ord_less_set_val @ SV93 @ SV217 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2326]) ).
thf(2472,plain,
! [SV222: set_val,SV381: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV381 @ SV222 )
| ~ ( ord_less_eq_set_val @ SV222 @ SV381 ) )
= $false )
| ( ( SV222 = SV381 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2328]) ).
thf(2473,plain,
! [SV381: set_val,SV222: set_val] :
( ( ( ord_less_eq_set_val @ SV222 @ SV381 )
= $false )
| ( ( ord_less_eq_set_val @ SV381 @ SV222 )
= $false )
| ( ( ~ ( ( SV222 != SV381 )
| ~ ~ ( ~ ( ord_less_eq_set_val @ SV381 @ SV222 )
| ~ ( ord_less_eq_set_val @ SV222 @ SV381 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2329]) ).
thf(2474,plain,
! [SV397: set_val,SV321: set_val,SV382: set_val,SV223: set_val,SV99: $o] :
( ( ( ~ ~ SV99 )
= $false )
| ( ( ord_less_eq_set_val @ ( if_set_val @ SV99 @ SV223 @ SV382 ) @ ( if_set_val @ SV99 @ SV321 @ SV397 ) )
= $true )
| ( SV99 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2330]) ).
thf(2475,plain,
! [SV321: set_val,SV223: set_val,SV99: $o,SV397: set_val,SV382: set_val] :
( ( ( ord_less_eq_set_val @ SV382 @ SV397 )
= $false )
| ( ( ord_less_eq_set_val @ ( if_set_val @ SV99 @ SV223 @ SV382 ) @ ( if_set_val @ SV99 @ SV321 @ SV397 ) )
= $true )
| ( SV99 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2330]) ).
thf(2476,plain,
! [SV397: set_val,SV321: set_val,SV382: set_val,SV223: set_val,SV99: $o] :
( ( ( ~ SV99 ) = $true )
| ( ( ord_less_eq_set_val @ ( if_set_val @ SV99 @ SV223 @ SV382 ) @ ( if_set_val @ SV99 @ SV321 @ SV397 ) )
= $true )
| ( ( ord_less_eq_set_val @ SV223 @ SV321 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2331]) ).
thf(2477,plain,
! [SV398: set_val,SV322: set_val,SV383: set_val,SV224: set_val] :
( ( ( ~ ~ $true )
= $false )
| ( ( ord_less_eq_set_val @ ( if_set_val @ $true @ SV224 @ SV383 ) @ ( if_set_val @ $true @ SV322 @ SV398 ) )
= $true )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2333]) ).
thf(2478,plain,
! [SV322: set_val,SV224: set_val,SV398: set_val,SV383: set_val] :
( ( ( ord_less_eq_set_val @ SV383 @ SV398 )
= $false )
| ( ( ord_less_eq_set_val @ ( if_set_val @ $true @ SV224 @ SV383 ) @ ( if_set_val @ $true @ SV322 @ SV398 ) )
= $true )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2333]) ).
thf(2479,plain,
! [SV398: set_val,SV322: set_val,SV383: set_val,SV224: set_val] :
( ( ( ~ $true ) = $true )
| ( ( ord_less_eq_set_val @ ( if_set_val @ $true @ SV224 @ SV383 ) @ ( if_set_val @ $true @ SV322 @ SV398 ) )
= $true )
| ( ( ord_less_eq_set_val @ SV224 @ SV322 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2334]) ).
thf(2480,plain,
! [SV399: set_val,SV323: set_val,SV384: set_val,SV225: set_val] :
( ( ( ~ ~ $false )
= $false )
| ( ( ord_less_eq_set_val @ ( if_set_val @ $false @ SV225 @ SV384 ) @ ( if_set_val @ $false @ SV323 @ SV399 ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2336]) ).
thf(2481,plain,
! [SV323: set_val,SV225: set_val,SV399: set_val,SV384: set_val] :
( ( ( ord_less_eq_set_val @ SV384 @ SV399 )
= $false )
| ( ( ord_less_eq_set_val @ ( if_set_val @ $false @ SV225 @ SV384 ) @ ( if_set_val @ $false @ SV323 @ SV399 ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2336]) ).
thf(2482,plain,
! [SV399: set_val,SV323: set_val,SV384: set_val,SV225: set_val] :
( ( ( ~ $false ) = $true )
| ( ( ord_less_eq_set_val @ ( if_set_val @ $false @ SV225 @ SV384 ) @ ( if_set_val @ $false @ SV323 @ SV399 ) )
= $true )
| ( ( ord_less_eq_set_val @ SV225 @ SV323 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2337]) ).
thf(2483,plain,
! [SV385: set_val,SV226: set_val,SV407: val] :
( ( ( ~ ( member_val @ SV407 @ SV226 )
| ( member_val @ SV407 @ SV385 ) )
= $true )
| ( ( ord_less_eq_set_val @ SV226 @ SV385 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2340]) ).
thf(2484,plain,
! [SV385: set_val,SV226: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV226 @ SV385 )
| ~ ! [SY1033: val] :
( ~ ( member_val @ SY1033 @ SV226 )
| ( member_val @ SY1033 @ SV385 ) ) )
= $false )
| ( ( member_val @ ( sK18_SY1033 @ SV385 @ SV226 ) @ SV226 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2341]) ).
thf(2485,plain,
! [SV385: set_val,SV226: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV226 @ SV385 ) )
= $false )
| ( ( member_val @ ( sK18_SY1033 @ SV385 @ SV226 ) @ SV385 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2342]) ).
thf(2486,plain,
! [SV385: set_val,SV226: set_val] :
( ( ( ~ ! [SY1033: val] :
( ~ ( member_val @ SY1033 @ SV226 )
| ( member_val @ SY1033 @ SV385 ) ) )
= $false )
| ( ( member_val @ ( sK18_SY1033 @ SV385 @ SV226 ) @ SV385 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2342]) ).
thf(2487,plain,
! [SV227: set_val > set_val,SV101: set_val,SV386: set_val,SV325: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ ( sK39_SY854 @ SV325 @ SV386 @ SV101 @ SV227 ) @ ( sK61_SY1068 @ SV227 @ SV101 @ SV386 @ SV325 ) )
| ( ord_less_eq_set_val @ ( SV227 @ ( sK39_SY854 @ SV325 @ SV386 @ SV101 @ SV227 ) ) @ ( SV227 @ ( sK61_SY1068 @ SV227 @ SV101 @ SV386 @ SV325 ) ) ) )
= $false )
| ( ( ord_less_eq_set_val @ SV101 @ ( SV227 @ SV386 ) )
= $true )
| ( ( ord_less_eq_set_val @ SV325 @ SV386 )
= $false )
| ( ( ord_less_eq_set_val @ SV101 @ ( SV227 @ SV325 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2343]) ).
thf(2488,plain,
! [SV232: set_val > set_val,SV402: set_val,SV401: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV401 @ SV402 ) )
= $true )
| ( ( ord_less_eq_set_val @ ( SV232 @ SV402 ) @ ( SV232 @ SV401 ) )
= $true )
| ( ( order_1719375026et_val @ SV232 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2344]) ).
thf(2489,plain,
! [SV232: set_val > set_val] :
( ( ( ~ ( order_1719375026et_val @ SV232 ) )
= $false )
| ( ( ord_less_eq_set_val @ ( sK12_SY856 @ SV232 ) @ ( sK13_SY1047 @ SV232 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2345]) ).
thf(2490,plain,
! [SV232: set_val > set_val] :
( ( ( ~ ! [SY856: set_val,SY857: set_val] :
( ~ ( ord_less_eq_set_val @ SY856 @ SY857 )
| ( ord_less_eq_set_val @ ( SV232 @ SY857 ) @ ( SV232 @ SY856 ) ) ) )
= $false )
| ( ( ord_less_eq_set_val @ ( sK12_SY856 @ SV232 ) @ ( sK13_SY1047 @ SV232 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2345]) ).
thf(2491,plain,
! [SV232: set_val > set_val] :
( ( ( order_1719375026et_val @ SV232 )
= $true )
| ( ( ord_less_eq_set_val @ ( SV232 @ ( sK13_SY1047 @ SV232 ) ) @ ( SV232 @ ( sK12_SY856 @ SV232 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2346]) ).
thf(2492,plain,
! [SV232: set_val > set_val] :
( ( ( ! [SY856: set_val,SY857: set_val] :
( ~ ( ord_less_eq_set_val @ SY856 @ SY857 )
| ( ord_less_eq_set_val @ ( SV232 @ SY857 ) @ ( SV232 @ SY856 ) ) ) )
= $true )
| ( ( ord_less_eq_set_val @ ( SV232 @ ( sK13_SY1047 @ SV232 ) ) @ ( SV232 @ ( sK12_SY856 @ SV232 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2347]) ).
thf(2493,plain,
! [SV234: set_val > val,SV108: val,SV387: set_val,SV326: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ ( sK40_SY860 @ SV326 @ SV387 @ SV108 @ SV234 ) @ ( sK62_SY1069 @ SV234 @ SV108 @ SV387 @ SV326 ) )
| ( ord_less_eq_val @ ( SV234 @ ( sK40_SY860 @ SV326 @ SV387 @ SV108 @ SV234 ) ) @ ( SV234 @ ( sK62_SY1069 @ SV234 @ SV108 @ SV387 @ SV326 ) ) ) )
= $false )
| ( ( ord_less_eq_val @ SV108 @ ( SV234 @ SV387 ) )
= $true )
| ( ( ord_less_eq_set_val @ SV326 @ SV387 )
= $false )
| ( ( SV108
= ( SV234 @ SV326 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2348]) ).
thf(2494,plain,
! [SV327: set_val > val,SV109: set_val,SV388: val,SV235: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ ( sK41_SY976 @ SV235 @ SV388 @ SV109 @ SV327 ) @ ( sK63_SY1070 @ SV327 @ SV109 @ SV388 @ SV235 ) )
| ( ord_less_eq_val @ ( SV327 @ ( sK41_SY976 @ SV235 @ SV388 @ SV109 @ SV327 ) ) @ ( SV327 @ ( sK63_SY1070 @ SV327 @ SV109 @ SV388 @ SV235 ) ) ) )
= $false )
| ( ( ord_less_eq_val @ ( SV327 @ SV109 ) @ SV388 )
= $true )
| ( ( ord_less_eq_val @ ( SV327 @ SV235 ) @ SV388 )
= $false )
| ( ( ord_less_eq_set_val @ SV109 @ SV235 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2349]) ).
thf(2495,plain,
! [SV328: set_set_val > set_val,SV110: set_set_val,SV389: set_val,SV236: set_set_val] :
( ( ( ~ ( ord_le1742111550et_val @ ( sK42_SY979 @ SV236 @ SV389 @ SV110 @ SV328 ) @ ( sK64_SY1071 @ SV328 @ SV110 @ SV389 @ SV236 ) )
| ( ord_less_eq_set_val @ ( SV328 @ ( sK42_SY979 @ SV236 @ SV389 @ SV110 @ SV328 ) ) @ ( SV328 @ ( sK64_SY1071 @ SV328 @ SV110 @ SV389 @ SV236 ) ) ) )
= $false )
| ( ( ord_less_eq_set_val @ ( SV328 @ SV110 ) @ SV389 )
= $true )
| ( ( ( SV328 @ SV236 )
= SV389 )
= $false )
| ( ( ord_le1742111550et_val @ SV110 @ SV236 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2350]) ).
thf(2496,plain,
! [SV330: set_val,SV390: set_val,SV238: set_val,SV112: $o] :
( ( ( ~ SV112 ) = $true )
| ( ( ord_less_eq_set_val @ ( if_set_val @ SV112 @ SV238 @ SV390 ) @ SV330 )
= $true )
| ( SV112 = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2351]) ).
thf(2497,plain,
! [SV330: set_val,SV390: set_val,SV238: set_val,SV112: $o] :
( ( SV112 = $false )
| ( ( ord_less_eq_set_val @ ( if_set_val @ SV112 @ SV238 @ SV390 ) @ SV330 )
= $true )
| ( ( ord_less_eq_set_val @ SV238 @ SV330 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2353]) ).
thf(2498,plain,
! [SV331: set_val,SV391: set_val,SV239: set_val] :
( ( ( ~ $true ) = $true )
| ( ( ord_less_eq_set_val @ ( if_set_val @ $true @ SV239 @ SV391 ) @ SV331 )
= $true )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2354]) ).
thf(2499,plain,
! [SV331: set_val,SV391: set_val,SV239: set_val] :
( ( $true = $false )
| ( ( ord_less_eq_set_val @ ( if_set_val @ $true @ SV239 @ SV391 ) @ SV331 )
= $true )
| ( ( ord_less_eq_set_val @ SV239 @ SV331 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2356]) ).
thf(2500,plain,
! [SV332: set_val,SV392: set_val,SV240: set_val] :
( ( ( ~ $false ) = $true )
| ( ( ord_less_eq_set_val @ ( if_set_val @ $false @ SV240 @ SV392 ) @ SV332 )
= $true )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2357]) ).
thf(2501,plain,
! [SV332: set_val,SV392: set_val,SV240: set_val] :
( ( $false = $false )
| ( ( ord_less_eq_set_val @ ( if_set_val @ $false @ SV240 @ SV392 ) @ SV332 )
= $true )
| ( ( ord_less_eq_set_val @ SV240 @ SV332 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2359]) ).
thf(2502,plain,
! [SV241: set_val > set_val,SV113: set_val,SV393: set_val,SV333: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ ( sK43_SY879 @ SV333 @ SV393 @ SV113 @ SV241 ) @ ( sK65_SY1072 @ SV241 @ SV113 @ SV393 @ SV333 ) )
| ( ord_less_eq_set_val @ ( SV241 @ ( sK43_SY879 @ SV333 @ SV393 @ SV113 @ SV241 ) ) @ ( SV241 @ ( sK65_SY1072 @ SV241 @ SV113 @ SV393 @ SV333 ) ) ) )
= $false )
| ( ( ord_less_eq_set_val @ SV113 @ ( SV241 @ SV393 ) )
= $true )
| ( ( ord_less_eq_set_val @ SV333 @ SV393 )
= $false )
| ( ( SV113
= ( SV241 @ SV333 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2360]) ).
thf(2503,plain,
! [SV243: set_val,SV334: set_val > $o,SV115: set_val > $o] :
( ( ( ! [SY988: set_val] :
( ~ ( SV115 @ SY988 )
| ~ ! [SY677: set_val] :
( ~ ( SV115 @ SY677 )
| ( ord_less_eq_set_val @ SY677 @ SY988 ) )
| ( SV334 @ SY988 ) ) )
= $false )
| ( ( SV334 @ ( order_1960465943et_val @ SV115 ) )
= $true )
| ( ( SV115 @ ( sK14_SY882 @ SV334 @ SV243 @ SV115 ) )
= $true )
| ( ( SV115 @ SV243 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2361]) ).
thf(2504,plain,
! [SV334: set_val > $o,SV243: set_val,SV115: set_val > $o] :
( ( ( ~ ( SV115 @ ( sK66_SY988 @ SV243 @ SV334 @ SV115 ) )
| ~ ! [SY1074: set_val] :
( ~ ( SV115 @ SY1074 )
| ( ord_less_eq_set_val @ SY1074 @ ( sK66_SY988 @ SV243 @ SV334 @ SV115 ) ) )
| ( SV334 @ ( sK66_SY988 @ SV243 @ SV334 @ SV115 ) ) )
= $false )
| ( ( SV334 @ ( order_1960465943et_val @ SV115 ) )
= $true )
| ( ( ord_less_eq_set_val @ ( sK14_SY882 @ SV334 @ SV243 @ SV115 ) @ SV243 )
= $false )
| ( ( SV115 @ SV243 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2362]) ).
thf(2505,plain,
! [SV394: set_val,SV244: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV244 @ SV394 )
| ~ ( ( SV394 != SV244 ) ) )
= $false )
| ( ( ord_less_set_val @ SV244 @ SV394 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2364]) ).
thf(2506,plain,
! [SV244: set_val,SV394: set_val] :
( ( ( SV394 != SV244 )
= $false )
| ( ( ord_less_eq_set_val @ SV244 @ SV394 )
= $false )
| ( ( ~ ( ~ ( ord_less_set_val @ SV244 @ SV394 )
| ~ ~ ( ~ ( ord_less_eq_set_val @ SV244 @ SV394 )
| ~ ( ( SV394 != SV244 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2365]) ).
thf(2507,plain,
! [SV245: set_val,SV336: set_val,SV117: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV117 @ SV336 ) )
= $false )
| ( ( ord_less_eq_set_val @ ( sup_sup_set_val @ SV117 @ SV245 ) @ SV336 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2366]) ).
thf(2508,plain,
! [SV117: set_val,SV336: set_val,SV245: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV245 @ SV336 ) )
= $false )
| ( ( ord_less_eq_set_val @ ( sup_sup_set_val @ SV117 @ SV245 ) @ SV336 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2366]) ).
thf(2509,plain,
! [SV336: set_val,SV245: set_val,SV117: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ ( sup_sup_set_val @ SV117 @ SV245 ) @ SV336 )
| ~ ~ ( ~ ( ord_less_eq_set_val @ SV117 @ SV336 )
| ~ ( ord_less_eq_set_val @ SV245 @ SV336 ) ) )
= $false )
| ( ( ord_less_eq_set_val @ SV117 @ SV336 )
= $false )
| ( ( ord_less_eq_set_val @ SV245 @ SV336 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2367]) ).
thf(2510,plain,
! [SV118: set_val > set_val,SV246: set_val > set_val] :
( ( ( ord_less_eq_set_val @ ( SV246 @ ( sK4_SY887 @ SV246 @ SV118 ) ) @ ( sK8_SY1045 @ SV118 @ SV246 ) )
= $false )
| ( ( ord_less_eq_set_val @ ( sK4_SY887 @ SV246 @ SV118 ) @ ( SV118 @ ( sK8_SY1045 @ SV118 @ SV246 ) ) )
= $false )
| ( ( refine1929691018et_val @ SV246 @ SV118 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2368]) ).
thf(2511,plain,
! [SV125: set_val > set_val,SV395: set_val,SV253: set_val > set_val,SV340: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV340 @ ( SV253 @ SV395 ) ) )
= $false )
| ( ( ord_less_eq_set_val @ SV340 @ ( SV253 @ SV395 ) )
= $false )
| ( ( refine1929691018et_val @ SV125 @ SV253 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2369]) ).
thf(2512,plain,
! [SV253: set_val > set_val,SV395: set_val,SV340: set_val,SV125: set_val > set_val] :
( ( ( ~ ( ord_less_eq_set_val @ ( SV125 @ SV340 ) @ SV395 ) )
= $false )
| ( ( ord_less_eq_set_val @ SV340 @ ( SV253 @ SV395 ) )
= $false )
| ( ( refine1929691018et_val @ SV125 @ SV253 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2369]) ).
thf(2513,plain,
! [SV125: set_val > set_val,SV395: set_val,SV253: set_val > set_val,SV340: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV340 @ ( SV253 @ SV395 ) ) )
= $false )
| ( ( ord_less_eq_set_val @ ( SV125 @ SV340 ) @ SV395 )
= $false )
| ( ( refine1929691018et_val @ SV125 @ SV253 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2370]) ).
thf(2514,plain,
! [SV253: set_val > set_val,SV395: set_val,SV340: set_val,SV125: set_val > set_val] :
( ( ( ~ ( ord_less_eq_set_val @ ( SV125 @ SV340 ) @ SV395 ) )
= $false )
| ( ( ord_less_eq_set_val @ ( SV125 @ SV340 ) @ SV395 )
= $false )
| ( ( refine1929691018et_val @ SV125 @ SV253 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2370]) ).
thf(2515,plain,
! [SV342: $o > set_val,SV408: $o,SV130: $o > set_val] :
( ( ( ord_less_eq_set_val @ ( SV130 @ SV408 ) @ ( SV342 @ SV408 ) )
= $true )
| ( ( ord_less_eq_set_val @ ( SV130 @ ( sK15_SY991 @ SV342 @ SV130 ) ) @ ( SV342 @ ( sK15_SY991 @ SV342 @ SV130 ) ) )
= $false ) ),
inference(extcnf_forall_special_pos,[status(thm)],[2375]) ).
thf(2516,plain,
! [SV342: $o > set_val,SV130: $o > set_val] :
( ( ( ord_less_eq_set_val @ ( SV130 @ $true ) @ ( SV342 @ $true ) )
= $true )
| ( ( ord_less_eq_set_val @ ( SV130 @ ( sK15_SY991 @ SV342 @ SV130 ) ) @ ( SV342 @ ( sK15_SY991 @ SV342 @ SV130 ) ) )
= $false ) ),
inference(extcnf_forall_special_pos,[status(thm)],[2375]) ).
thf(2517,plain,
! [SV342: $o > set_val,SV130: $o > set_val] :
( ( ( ord_less_eq_set_val @ ( SV130 @ $false ) @ ( SV342 @ $false ) )
= $true )
| ( ( ord_less_eq_set_val @ ( SV130 @ ( sK15_SY991 @ SV342 @ SV130 ) ) @ ( SV342 @ ( sK15_SY991 @ SV342 @ SV130 ) ) )
= $false ) ),
inference(extcnf_forall_special_pos,[status(thm)],[2375]) ).
thf(2518,plain,
! [SV131: set_val > set_val,SV409: set_val,SV343: set_val > set_val,SV404: set_val] :
( ( ( ( ord_less_eq_set_val @ SV404 @ ( SV343 @ SV409 ) )
= ( ord_less_eq_set_val @ ( SV131 @ SV404 ) @ SV409 ) )
= $true )
| ( ( refine1929691018et_val @ SV131 @ SV343 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2376]) ).
thf(2519,plain,
! [SV343: set_val > set_val,SV131: set_val > set_val] :
( ( ( ( ord_less_eq_set_val @ ( sK16_SY992 @ SV131 @ SV343 ) @ ( SV343 @ ( sK19_SY1048 @ SV343 @ SV131 ) ) )
| ( ord_less_eq_set_val @ ( SV131 @ ( sK16_SY992 @ SV131 @ SV343 ) ) @ ( sK19_SY1048 @ SV343 @ SV131 ) ) )
= $true )
| ( ( ~ ( ~ ( refine1929691018et_val @ SV131 @ SV343 )
| ~ ! [SY992: set_val,SY993: set_val] :
( ( ord_less_eq_set_val @ SY992 @ ( SV343 @ SY993 ) )
= ( ord_less_eq_set_val @ ( SV131 @ SY992 ) @ SY993 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2377]) ).
thf(2520,plain,
! [SV343: set_val > set_val,SV131: set_val > set_val] :
( ( ( ~ ( ord_less_eq_set_val @ ( sK16_SY992 @ SV131 @ SV343 ) @ ( SV343 @ ( sK19_SY1048 @ SV343 @ SV131 ) ) )
| ~ ( ord_less_eq_set_val @ ( SV131 @ ( sK16_SY992 @ SV131 @ SV343 ) ) @ ( sK19_SY1048 @ SV343 @ SV131 ) ) )
= $true )
| ( ( ~ ( ~ ( refine1929691018et_val @ SV131 @ SV343 )
| ~ ! [SY992: set_val,SY993: set_val] :
( ( ord_less_eq_set_val @ SY992 @ ( SV343 @ SY993 ) )
= ( ord_less_eq_set_val @ ( SV131 @ SY992 ) @ SY993 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2378]) ).
thf(2521,plain,
! [SV343: set_val > set_val,SV131: set_val > set_val] :
( ( ( ~ ( refine1929691018et_val @ SV131 @ SV343 ) )
= $false )
| ( ( ( ord_less_eq_set_val @ ( sK16_SY992 @ SV131 @ SV343 ) @ ( SV343 @ ( sK19_SY1048 @ SV343 @ SV131 ) ) )
= ( ord_less_eq_set_val @ ( SV131 @ ( sK16_SY992 @ SV131 @ SV343 ) ) @ ( sK19_SY1048 @ SV343 @ SV131 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2379]) ).
thf(2522,plain,
! [SV131: set_val > set_val,SV343: set_val > set_val] :
( ( ( ~ ! [SY992: set_val,SY993: set_val] :
( ( ord_less_eq_set_val @ SY992 @ ( SV343 @ SY993 ) )
= ( ord_less_eq_set_val @ ( SV131 @ SY992 ) @ SY993 ) ) )
= $false )
| ( ( ( ord_less_eq_set_val @ ( sK16_SY992 @ SV131 @ SV343 ) @ ( SV343 @ ( sK19_SY1048 @ SV343 @ SV131 ) ) )
= ( ord_less_eq_set_val @ ( SV131 @ ( sK16_SY992 @ SV131 @ SV343 ) ) @ ( sK19_SY1048 @ SV343 @ SV131 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2379]) ).
thf(2523,plain,
! [SV344: set_val,SV133: set_val] :
( ( ( ord_less_set_val @ SV133 @ SV344 )
= $true )
| ( ( SV133 = SV344 )
= $true )
| ( ( ord_less_set_val @ SV133 @ SV344 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2382]) ).
thf(2524,plain,
! [SV344: set_val,SV133: set_val] :
( ( ( ord_less_set_val @ SV133 @ SV344 )
= $true )
| ( ( SV133 = SV344 )
= $true )
| ( ( SV133 = SV344 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2384]) ).
thf(2525,plain,
! [SV345: set_val,SV134: set_val] :
( ( ( ord_less_set_val @ SV134 @ SV345 )
= $true )
| ( ( SV134 = SV345 )
= $true )
| ( ( ord_less_set_val @ SV134 @ SV345 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2387]) ).
thf(2526,plain,
! [SV345: set_val,SV134: set_val] :
( ( ( ord_less_set_val @ SV134 @ SV345 )
= $true )
| ( ( SV134 = SV345 )
= $true )
| ( ( SV134 = SV345 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2389]) ).
thf(2527,plain,
! [SV346: set_val,SV135: set_val] :
( ( ( ord_less_set_val @ SV135 @ SV346 )
= $true )
| ( ( SV346 = SV135 )
= $true )
| ( ( ord_less_set_val @ SV135 @ SV346 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2392]) ).
thf(2528,plain,
! [SV346: set_val,SV135: set_val] :
( ( ( ord_less_set_val @ SV135 @ SV346 )
= $true )
| ( ( SV346 = SV135 )
= $true )
| ( ( SV346 = SV135 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2394]) ).
thf(2529,plain,
! [SV347: set_val,SV136: set_val] :
( ( ( ord_less_set_val @ SV136 @ SV347 )
= $true )
| ( ( SV136 = SV347 )
= $true )
| ( ( ord_less_set_val @ SV136 @ SV347 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2397]) ).
thf(2530,plain,
! [SV347: set_val,SV136: set_val] :
( ( ( ord_less_set_val @ SV136 @ SV347 )
= $true )
| ( ( SV136 = SV347 )
= $true )
| ( ( SV136 = SV347 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2399]) ).
thf(2531,plain,
! [SV17: $o] :
( ( SV17 = $false )
| ( ( ~ ( ~ SV17
| ~ $false ) )
= $true )
| ( SV17 = $false )
| ( SV17 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2400]) ).
thf(2532,plain,
! [SV17: $o] :
( ( $false = $false )
| ( ( ~ ( ~ SV17
| ~ $false ) )
= $true )
| ( SV17 = $false )
| ( SV17 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2400]) ).
thf(2533,plain,
! [SV17: $o] :
( ( SV17 = $false )
| ( ( ~ ( ~ SV17
| ~ $false ) )
= $true )
| ( SV17 = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2401]) ).
thf(2534,plain,
! [SV17: $o] :
( ( $false = $false )
| ( ( ~ ( ~ SV17
| ~ $false ) )
= $true )
| ( SV17 = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2401]) ).
thf(2535,plain,
! [SV17: $o] :
( ( SV17 = $false )
| ( ( ~ ( ~ SV17
| ~ $false ) )
= $true )
| ( $true = $false )
| ( SV17 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2402]) ).
thf(2536,plain,
! [SV17: $o] :
( ( $false = $false )
| ( ( ~ ( ~ SV17
| ~ $false ) )
= $true )
| ( $true = $false )
| ( SV17 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2402]) ).
thf(2537,plain,
! [SV17: $o] :
( ( SV17 = $false )
| ( ( ~ ( ~ SV17
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2403]) ).
thf(2538,plain,
! [SV17: $o] :
( ( $false = $false )
| ( ( ~ ( ~ SV17
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2403]) ).
thf(2539,plain,
( ( $true = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2404]) ).
thf(2540,plain,
( ( $false = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2404]) ).
thf(2541,plain,
( ( $true = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2405]) ).
thf(2542,plain,
( ( $false = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2405]) ).
thf(2543,plain,
( ( $true = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2406]) ).
thf(2544,plain,
( ( $false = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2406]) ).
thf(2545,plain,
( ( $true = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2407]) ).
thf(2546,plain,
( ( $false = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2407]) ).
thf(2547,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2408]) ).
thf(2548,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2408]) ).
thf(2549,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2409]) ).
thf(2550,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2409]) ).
thf(2551,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2410]) ).
thf(2552,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2410]) ).
thf(2553,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2411]) ).
thf(2554,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2411]) ).
thf(2555,plain,
! [SV266: set_val,SV144: set_val,SV19: set_val > set_val > set_val] :
( ( ( ! [SY441: set_val,SY442: set_val,SY443: set_val] :
( ~ ( ord_less_eq_set_val @ SY442 @ SY441 )
| ~ ( ord_less_eq_set_val @ SY443 @ SY441 )
| ( ord_less_eq_set_val @ ( SV19 @ SY442 @ SY443 ) @ SY441 ) ) )
= $false )
| ( ( ( sup_sup_set_val @ SV144 @ SV266 )
= ( SV19 @ SV144 @ SV266 ) )
= $true )
| ( ( ord_less_eq_set_val @ ( sK21_SY1049 @ SV144 @ SV266 @ SV19 ) @ ( SV19 @ ( sK20_SY439 @ SV266 @ SV144 @ SV19 ) @ ( sK21_SY1049 @ SV144 @ SV266 @ SV19 ) ) )
= $false )
| ( ( ord_less_eq_set_val @ ( sK7_SY437 @ SV266 @ SV144 @ SV19 ) @ ( SV19 @ ( sK7_SY437 @ SV266 @ SV144 @ SV19 ) @ ( sK9_SY1046 @ SV19 @ SV144 @ SV266 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2412]) ).
thf(2556,plain,
! [SV147: val > set_val,SV22: set_val,SV351: val,SV268: val] :
( ( ( ~ ( ord_less_eq_val @ ( sK22_SY726 @ SV268 @ SV351 @ SV22 @ SV147 ) @ ( sK44_SY1051 @ SV147 @ SV22 @ SV351 @ SV268 ) ) )
= $false )
| ( ( ord_less_eq_set_val @ SV22 @ ( SV147 @ SV351 ) )
= $true )
| ( ( ord_less_eq_val @ SV268 @ SV351 )
= $false )
| ( ( ord_less_eq_set_val @ SV22 @ ( SV147 @ SV268 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2413]) ).
thf(2557,plain,
! [SV22: set_val,SV351: val,SV268: val,SV147: val > set_val] :
( ( ( ord_less_eq_set_val @ ( SV147 @ ( sK22_SY726 @ SV268 @ SV351 @ SV22 @ SV147 ) ) @ ( SV147 @ ( sK44_SY1051 @ SV147 @ SV22 @ SV351 @ SV268 ) ) )
= $false )
| ( ( ord_less_eq_set_val @ SV22 @ ( SV147 @ SV351 ) )
= $true )
| ( ( ord_less_eq_val @ SV268 @ SV351 )
= $false )
| ( ( ord_less_eq_set_val @ SV22 @ ( SV147 @ SV268 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2413]) ).
thf(2558,plain,
! [SV269: set_val > set_set_val,SV24: set_val,SV352: set_set_val,SV148: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ ( sK23_SY910 @ SV148 @ SV352 @ SV24 @ SV269 ) @ ( sK45_SY1052 @ SV269 @ SV24 @ SV352 @ SV148 ) ) )
= $false )
| ( ( ord_le1742111550et_val @ ( SV269 @ SV24 ) @ SV352 )
= $true )
| ( ( ord_le1742111550et_val @ ( SV269 @ SV148 ) @ SV352 )
= $false )
| ( ( ord_less_eq_set_val @ SV24 @ SV148 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2414]) ).
thf(2559,plain,
! [SV24: set_val,SV352: set_set_val,SV148: set_val,SV269: set_val > set_set_val] :
( ( ( ord_le1742111550et_val @ ( SV269 @ ( sK23_SY910 @ SV148 @ SV352 @ SV24 @ SV269 ) ) @ ( SV269 @ ( sK45_SY1052 @ SV269 @ SV24 @ SV352 @ SV148 ) ) )
= $false )
| ( ( ord_le1742111550et_val @ ( SV269 @ SV24 ) @ SV352 )
= $true )
| ( ( ord_le1742111550et_val @ ( SV269 @ SV148 ) @ SV352 )
= $false )
| ( ( ord_less_eq_set_val @ SV24 @ SV148 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2414]) ).
thf(2560,plain,
! [SV353: set_val,SV149: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV149 @ SV353 ) )
= $false )
| ( ( ord_less_set_val @ SV149 @ SV353 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2415]) ).
thf(2561,plain,
! [SV353: set_val,SV149: set_val] :
( ( ( ~ ( ( SV149 != SV353 ) ) )
= $false )
| ( ( ord_less_set_val @ SV149 @ SV353 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2415]) ).
thf(2562,plain,
! [SV353: set_val,SV149: set_val] :
( ( ( SV149 = SV353 )
= $true )
| ( ( ord_less_eq_set_val @ SV149 @ SV353 )
= $false )
| ( ( ~ ( ~ ( ord_less_set_val @ SV149 @ SV353 )
| ~ ~ ( ~ ( ord_less_eq_set_val @ SV149 @ SV353 )
| ~ ( ( SV149 != SV353 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2416]) ).
thf(2563,plain,
! [SV354: set_val,SV150: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV150 @ SV354 ) )
= $false )
| ( ( SV150 = SV354 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2417]) ).
thf(2564,plain,
! [SV150: set_val,SV354: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV354 @ SV150 ) )
= $false )
| ( ( SV150 = SV354 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2417]) ).
thf(2565,plain,
! [SV354: set_val,SV150: set_val] :
( ( ( ( SV150 != SV354 )
| ~ ~ ( ~ ( ord_less_eq_set_val @ SV150 @ SV354 )
| ~ ( ord_less_eq_set_val @ SV354 @ SV150 ) ) )
= $false )
| ( ( ord_less_eq_set_val @ SV150 @ SV354 )
= $false )
| ( ( ord_less_eq_set_val @ SV354 @ SV150 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2418]) ).
thf(2566,plain,
! [SV151: set_val > set_set_val,SV27: set_set_val,SV355: set_val,SV272: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ ( sK24_SY737 @ SV272 @ SV355 @ SV27 @ SV151 ) @ ( sK46_SY1053 @ SV151 @ SV27 @ SV355 @ SV272 ) ) )
= $false )
| ( ( ord_le1742111550et_val @ SV27 @ ( SV151 @ SV355 ) )
= $true )
| ( ( ord_less_eq_set_val @ SV272 @ SV355 )
= $false )
| ( ( ord_le1742111550et_val @ SV27 @ ( SV151 @ SV272 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2419]) ).
thf(2567,plain,
! [SV27: set_set_val,SV355: set_val,SV272: set_val,SV151: set_val > set_set_val] :
( ( ( ord_le1742111550et_val @ ( SV151 @ ( sK24_SY737 @ SV272 @ SV355 @ SV27 @ SV151 ) ) @ ( SV151 @ ( sK46_SY1053 @ SV151 @ SV27 @ SV355 @ SV272 ) ) )
= $false )
| ( ( ord_le1742111550et_val @ SV27 @ ( SV151 @ SV355 ) )
= $true )
| ( ( ord_less_eq_set_val @ SV272 @ SV355 )
= $false )
| ( ( ord_le1742111550et_val @ SV27 @ ( SV151 @ SV272 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2419]) ).
thf(2568,plain,
! [SV356: set_val,SV152: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV152 @ SV356 ) )
= $false )
| ( ( ord_less_set_val @ SV152 @ SV356 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2420]) ).
thf(2569,plain,
! [SV152: set_val,SV356: set_val] :
( ( ( ~ ~ ( ord_less_eq_set_val @ SV356 @ SV152 ) )
= $false )
| ( ( ord_less_set_val @ SV152 @ SV356 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2420]) ).
thf(2570,plain,
! [SV152: set_val,SV356: set_val] :
( ( ( ord_less_eq_set_val @ SV356 @ SV152 )
= $true )
| ( ( ord_less_eq_set_val @ SV152 @ SV356 )
= $false )
| ( ( ~ ( ~ ( ord_less_set_val @ SV152 @ SV356 )
| ~ ~ ( ~ ( ord_less_eq_set_val @ SV152 @ SV356 )
| ~ ~ ( ord_less_eq_set_val @ SV356 @ SV152 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2421]) ).
thf(2571,plain,
! [SV357: set_val,SV153: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV153 @ SV357 ) )
= $false )
| ( ( ord_less_set_val @ SV153 @ SV357 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2422]) ).
thf(2572,plain,
! [SV357: set_val,SV153: set_val] :
( ( ( ~ ( ( SV153 != SV357 ) ) )
= $false )
| ( ( ord_less_set_val @ SV153 @ SV357 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2422]) ).
thf(2573,plain,
! [SV357: set_val,SV153: set_val] :
( ( ( SV153 = SV357 )
= $true )
| ( ( ord_less_eq_set_val @ SV153 @ SV357 )
= $false )
| ( ( ~ ( ~ ( ord_less_set_val @ SV153 @ SV357 )
| ~ ~ ( ~ ( ord_less_eq_set_val @ SV153 @ SV357 )
| ~ ( ( SV153 != SV357 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2423]) ).
thf(2574,plain,
! [SV156: set_val,SV275: set_val,SV32: set_val] :
( ( ( ord_less_eq_set_val @ SV32 @ SV275 )
= $true )
| ( ( ord_less_eq_set_val @ ( sup_sup_set_val @ SV32 @ SV156 ) @ SV275 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2424]) ).
thf(2575,plain,
! [SV32: set_val,SV275: set_val,SV156: set_val] :
( ( ( ord_less_eq_set_val @ SV156 @ SV275 )
= $true )
| ( ( ord_less_eq_set_val @ ( sup_sup_set_val @ SV32 @ SV156 ) @ SV275 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2425]) ).
thf(2576,plain,
! [SV275: set_val,SV156: set_val,SV32: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ ( sup_sup_set_val @ SV32 @ SV156 ) @ SV275 ) )
= $false )
| ( ( ord_less_eq_set_val @ SV32 @ SV275 )
= $false )
| ( ( ord_less_eq_set_val @ SV156 @ SV275 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2426]) ).
thf(2577,plain,
! [SV156: set_val,SV275: set_val,SV32: set_val] :
( ( ( ~ ~ ( ~ ( ord_less_eq_set_val @ SV32 @ SV275 )
| ~ ( ord_less_eq_set_val @ SV156 @ SV275 ) ) )
= $false )
| ( ( ord_less_eq_set_val @ SV32 @ SV275 )
= $false )
| ( ( ord_less_eq_set_val @ SV156 @ SV275 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2426]) ).
thf(2578,plain,
! [SV157: set_val > val,SV33: val,SV358: set_val,SV276: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ ( sK25_SY744 @ SV276 @ SV358 @ SV33 @ SV157 ) @ ( sK47_SY1054 @ SV157 @ SV33 @ SV358 @ SV276 ) ) )
= $false )
| ( ( ord_less_eq_val @ SV33 @ ( SV157 @ SV358 ) )
= $true )
| ( ( ord_less_eq_set_val @ SV276 @ SV358 )
= $false )
| ( ( ord_less_eq_val @ SV33 @ ( SV157 @ SV276 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2427]) ).
thf(2579,plain,
! [SV33: val,SV358: set_val,SV276: set_val,SV157: set_val > val] :
( ( ( ord_less_eq_val @ ( SV157 @ ( sK25_SY744 @ SV276 @ SV358 @ SV33 @ SV157 ) ) @ ( SV157 @ ( sK47_SY1054 @ SV157 @ SV33 @ SV358 @ SV276 ) ) )
= $false )
| ( ( ord_less_eq_val @ SV33 @ ( SV157 @ SV358 ) )
= $true )
| ( ( ord_less_eq_set_val @ SV276 @ SV358 )
= $false )
| ( ( ord_less_eq_val @ SV33 @ ( SV157 @ SV276 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2427]) ).
thf(2580,plain,
! [SV159: set_val,SV277: set_val,SV35: set_val] :
( ( ( ord_less_eq_set_val @ SV35 @ SV277 )
= $true )
| ( ( ord_less_eq_set_val @ ( sup_sup_set_val @ SV35 @ SV159 ) @ SV277 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2428]) ).
thf(2581,plain,
! [SV35: set_val,SV277: set_val,SV159: set_val] :
( ( ( ord_less_eq_set_val @ SV159 @ SV277 )
= $true )
| ( ( ord_less_eq_set_val @ ( sup_sup_set_val @ SV35 @ SV159 ) @ SV277 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2429]) ).
thf(2582,plain,
! [SV277: set_val,SV159: set_val,SV35: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ ( sup_sup_set_val @ SV35 @ SV159 ) @ SV277 ) )
= $false )
| ( ( ord_less_eq_set_val @ SV35 @ SV277 )
= $false )
| ( ( ord_less_eq_set_val @ SV159 @ SV277 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2430]) ).
thf(2583,plain,
! [SV159: set_val,SV277: set_val,SV35: set_val] :
( ( ( ~ ~ ( ~ ( ord_less_eq_set_val @ SV35 @ SV277 )
| ~ ( ord_less_eq_set_val @ SV159 @ SV277 ) ) )
= $false )
| ( ( ord_less_eq_set_val @ SV35 @ SV277 )
= $false )
| ( ( ord_less_eq_set_val @ SV159 @ SV277 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2430]) ).
thf(2584,plain,
! [SV278: set_val > set_set_val,SV36: set_val,SV359: set_set_val,SV160: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ ( sK26_SY919 @ SV160 @ SV359 @ SV36 @ SV278 ) @ ( sK48_SY1055 @ SV278 @ SV36 @ SV359 @ SV160 ) ) )
= $false )
| ( ( ord_le1742111550et_val @ ( SV278 @ SV36 ) @ SV359 )
= $true )
| ( ( ( SV278 @ SV160 )
= SV359 )
= $false )
| ( ( ord_less_eq_set_val @ SV36 @ SV160 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2431]) ).
thf(2585,plain,
! [SV36: set_val,SV359: set_set_val,SV160: set_val,SV278: set_val > set_set_val] :
( ( ( ord_le1742111550et_val @ ( SV278 @ ( sK26_SY919 @ SV160 @ SV359 @ SV36 @ SV278 ) ) @ ( SV278 @ ( sK48_SY1055 @ SV278 @ SV36 @ SV359 @ SV160 ) ) )
= $false )
| ( ( ord_le1742111550et_val @ ( SV278 @ SV36 ) @ SV359 )
= $true )
| ( ( ( SV278 @ SV160 )
= SV359 )
= $false )
| ( ( ord_less_eq_set_val @ SV36 @ SV160 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2431]) ).
thf(2586,plain,
! [SV279: val > set_val,SV38: val,SV360: set_val,SV162: val] :
( ( ( ~ ( ord_less_eq_val @ ( sK27_SY922 @ SV162 @ SV360 @ SV38 @ SV279 ) @ ( sK49_SY1056 @ SV279 @ SV38 @ SV360 @ SV162 ) ) )
= $false )
| ( ( ord_less_eq_set_val @ ( SV279 @ SV38 ) @ SV360 )
= $true )
| ( ( ( SV279 @ SV162 )
= SV360 )
= $false )
| ( ( ord_less_eq_val @ SV38 @ SV162 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2432]) ).
thf(2587,plain,
! [SV38: val,SV360: set_val,SV162: val,SV279: val > set_val] :
( ( ( ord_less_eq_set_val @ ( SV279 @ ( sK27_SY922 @ SV162 @ SV360 @ SV38 @ SV279 ) ) @ ( SV279 @ ( sK49_SY1056 @ SV279 @ SV38 @ SV360 @ SV162 ) ) )
= $false )
| ( ( ord_less_eq_set_val @ ( SV279 @ SV38 ) @ SV360 )
= $true )
| ( ( ( SV279 @ SV162 )
= SV360 )
= $false )
| ( ( ord_less_eq_val @ SV38 @ SV162 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2432]) ).
thf(2588,plain,
! [SV282: set_val > set_val,SV42: set_val,SV361: set_val,SV166: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ ( sK28_SY925 @ SV166 @ SV361 @ SV42 @ SV282 ) @ ( sK50_SY1057 @ SV282 @ SV42 @ SV361 @ SV166 ) ) )
= $false )
| ( ( ord_less_eq_set_val @ ( SV282 @ SV42 ) @ SV361 )
= $true )
| ( ( ord_less_eq_set_val @ ( SV282 @ SV166 ) @ SV361 )
= $false )
| ( ( ord_less_eq_set_val @ SV42 @ SV166 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2433]) ).
thf(2589,plain,
! [SV42: set_val,SV361: set_val,SV166: set_val,SV282: set_val > set_val] :
( ( ( ord_less_eq_set_val @ ( SV282 @ ( sK28_SY925 @ SV166 @ SV361 @ SV42 @ SV282 ) ) @ ( SV282 @ ( sK50_SY1057 @ SV282 @ SV42 @ SV361 @ SV166 ) ) )
= $false )
| ( ( ord_less_eq_set_val @ ( SV282 @ SV42 ) @ SV361 )
= $true )
| ( ( ord_less_eq_set_val @ ( SV282 @ SV166 ) @ SV361 )
= $false )
| ( ( ord_less_eq_set_val @ SV42 @ SV166 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2433]) ).
thf(2590,plain,
! [SV362: set_val,SV167: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV167 @ SV362 ) )
= $false )
| ( ( SV167 = SV362 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2434]) ).
thf(2591,plain,
! [SV167: set_val,SV362: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV362 @ SV167 ) )
= $false )
| ( ( SV167 = SV362 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2434]) ).
thf(2592,plain,
! [SV362: set_val,SV167: set_val] :
( ( ( ( SV167 != SV362 )
| ~ ~ ( ~ ( ord_less_eq_set_val @ SV167 @ SV362 )
| ~ ( ord_less_eq_set_val @ SV362 @ SV167 ) ) )
= $false )
| ( ( ord_less_eq_set_val @ SV167 @ SV362 )
= $false )
| ( ( ord_less_eq_set_val @ SV362 @ SV167 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2435]) ).
thf(2593,plain,
! [SV168: val > $o,SV410: val,SV44: val > $o] :
( ( ( ~ ( SV44 @ SV410 )
| ( SV168 @ SV410 ) )
= $true )
| ( ( SV44 @ ( sK10_SY763 @ SV168 @ SV44 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2438]) ).
thf(2594,plain,
! [SV168: val > $o,SV405: val,SV44: val > $o] :
( ( ( ~ ( SV44 @ SV405 ) )
= $true )
| ( ( SV168 @ SV405 )
= $true )
| ( ( SV168 @ ( sK10_SY763 @ SV168 @ SV44 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2439]) ).
thf(2595,plain,
! [SV169: set_val > set_set_val,SV45: set_set_val,SV363: set_val,SV284: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ ( sK29_SY766 @ SV284 @ SV363 @ SV45 @ SV169 ) @ ( sK51_SY1058 @ SV169 @ SV45 @ SV363 @ SV284 ) ) )
= $false )
| ( ( ord_le1742111550et_val @ SV45 @ ( SV169 @ SV363 ) )
= $true )
| ( ( ord_less_eq_set_val @ SV284 @ SV363 )
= $false )
| ( ( SV45
= ( SV169 @ SV284 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2440]) ).
thf(2596,plain,
! [SV45: set_set_val,SV363: set_val,SV284: set_val,SV169: set_val > set_set_val] :
( ( ( ord_le1742111550et_val @ ( SV169 @ ( sK29_SY766 @ SV284 @ SV363 @ SV45 @ SV169 ) ) @ ( SV169 @ ( sK51_SY1058 @ SV169 @ SV45 @ SV363 @ SV284 ) ) )
= $false )
| ( ( ord_le1742111550et_val @ SV45 @ ( SV169 @ SV363 ) )
= $true )
| ( ( ord_less_eq_set_val @ SV284 @ SV363 )
= $false )
| ( ( SV45
= ( SV169 @ SV284 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2440]) ).
thf(2597,plain,
! [SV285: set_set_val > set_val,SV46: set_set_val,SV364: set_val,SV170: set_set_val] :
( ( ( ~ ( ord_le1742111550et_val @ ( sK30_SY931 @ SV170 @ SV364 @ SV46 @ SV285 ) @ ( sK52_SY1059 @ SV285 @ SV46 @ SV364 @ SV170 ) ) )
= $false )
| ( ( ord_less_eq_set_val @ ( SV285 @ SV46 ) @ SV364 )
= $true )
| ( ( ord_less_eq_set_val @ ( SV285 @ SV170 ) @ SV364 )
= $false )
| ( ( ord_le1742111550et_val @ SV46 @ SV170 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2441]) ).
thf(2598,plain,
! [SV46: set_set_val,SV364: set_val,SV170: set_set_val,SV285: set_set_val > set_val] :
( ( ( ord_less_eq_set_val @ ( SV285 @ ( sK30_SY931 @ SV170 @ SV364 @ SV46 @ SV285 ) ) @ ( SV285 @ ( sK52_SY1059 @ SV285 @ SV46 @ SV364 @ SV170 ) ) )
= $false )
| ( ( ord_less_eq_set_val @ ( SV285 @ SV46 ) @ SV364 )
= $true )
| ( ( ord_less_eq_set_val @ ( SV285 @ SV170 ) @ SV364 )
= $false )
| ( ( ord_le1742111550et_val @ SV46 @ SV170 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2441]) ).
thf(2599,plain,
! [SV173: set_set_val > set_val,SV49: set_val,SV366: set_set_val,SV287: set_set_val] :
( ( ( ~ ( ord_le1742111550et_val @ ( sK31_SY776 @ SV287 @ SV366 @ SV49 @ SV173 ) @ ( sK53_SY1060 @ SV173 @ SV49 @ SV366 @ SV287 ) ) )
= $false )
| ( ( ord_less_eq_set_val @ SV49 @ ( SV173 @ SV366 ) )
= $true )
| ( ( ord_le1742111550et_val @ SV287 @ SV366 )
= $false )
| ( ( SV49
= ( SV173 @ SV287 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2442]) ).
thf(2600,plain,
! [SV49: set_val,SV366: set_set_val,SV287: set_set_val,SV173: set_set_val > set_val] :
( ( ( ord_less_eq_set_val @ ( SV173 @ ( sK31_SY776 @ SV287 @ SV366 @ SV49 @ SV173 ) ) @ ( SV173 @ ( sK53_SY1060 @ SV173 @ SV49 @ SV366 @ SV287 ) ) )
= $false )
| ( ( ord_less_eq_set_val @ SV49 @ ( SV173 @ SV366 ) )
= $true )
| ( ( ord_le1742111550et_val @ SV287 @ SV366 )
= $false )
| ( ( SV49
= ( SV173 @ SV287 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2442]) ).
thf(2601,plain,
! [SV367: set_val,SV175: set_val,SV406: val] :
( ( ( ~ ( member_val @ SV406 @ SV175 ) )
= $true )
| ( ( member_val @ SV406 @ SV367 )
= $true )
| ( ( ord_less_eq_set_val @ SV175 @ SV367 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2443]) ).
thf(2602,plain,
! [SV367: set_val,SV175: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV175 @ SV367 ) )
= $false )
| ( ( member_val @ ( sK17_SY1014 @ SV367 @ SV175 ) @ SV175 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2444]) ).
thf(2603,plain,
! [SV367: set_val,SV175: set_val] :
( ( ( ~ ! [SY1014: val] :
( ~ ( member_val @ SY1014 @ SV175 )
| ( member_val @ SY1014 @ SV367 ) ) )
= $false )
| ( ( member_val @ ( sK17_SY1014 @ SV367 @ SV175 ) @ SV175 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2444]) ).
thf(2604,plain,
! [SV367: set_val,SV175: set_val] :
( ( ( ord_less_eq_set_val @ SV175 @ SV367 )
= $true )
| ( ( member_val @ ( sK17_SY1014 @ SV367 @ SV175 ) @ SV367 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2445]) ).
thf(2605,plain,
! [SV367: set_val,SV175: set_val] :
( ( ( ! [SY1014: val] :
( ~ ( member_val @ SY1014 @ SV175 )
| ( member_val @ SY1014 @ SV367 ) ) )
= $true )
| ( ( member_val @ ( sK17_SY1014 @ SV367 @ SV175 ) @ SV367 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2446]) ).
thf(2606,plain,
! [SV290: val > set_val,SV53: val,SV368: set_val,SV177: val] :
( ( ( ~ ( ord_less_eq_val @ ( sK32_SY939 @ SV177 @ SV368 @ SV53 @ SV290 ) @ ( sK54_SY1061 @ SV290 @ SV53 @ SV368 @ SV177 ) ) )
= $false )
| ( ( ord_less_eq_set_val @ ( SV290 @ SV53 ) @ SV368 )
= $true )
| ( ( ord_less_eq_set_val @ ( SV290 @ SV177 ) @ SV368 )
= $false )
| ( ( ord_less_eq_val @ SV53 @ SV177 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2447]) ).
thf(2607,plain,
! [SV53: val,SV368: set_val,SV177: val,SV290: val > set_val] :
( ( ( ord_less_eq_set_val @ ( SV290 @ ( sK32_SY939 @ SV177 @ SV368 @ SV53 @ SV290 ) ) @ ( SV290 @ ( sK54_SY1061 @ SV290 @ SV53 @ SV368 @ SV177 ) ) )
= $false )
| ( ( ord_less_eq_set_val @ ( SV290 @ SV53 ) @ SV368 )
= $true )
| ( ( ord_less_eq_set_val @ ( SV290 @ SV177 ) @ SV368 )
= $false )
| ( ( ord_less_eq_val @ SV53 @ SV177 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2447]) ).
thf(2608,plain,
! [SV370: set_val,SV183: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV183 @ SV370 ) )
= $false )
| ( ( SV183 = SV370 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2448]) ).
thf(2609,plain,
! [SV183: set_val,SV370: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV370 @ SV183 ) )
= $false )
| ( ( SV183 = SV370 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2448]) ).
thf(2610,plain,
! [SV370: set_val,SV183: set_val] :
( ( ( ( SV183 != SV370 )
| ~ ~ ( ~ ( ord_less_eq_set_val @ SV183 @ SV370 )
| ~ ( ord_less_eq_set_val @ SV370 @ SV183 ) ) )
= $false )
| ( ( ord_less_eq_set_val @ SV183 @ SV370 )
= $false )
| ( ( ord_less_eq_set_val @ SV370 @ SV183 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2449]) ).
thf(2611,plain,
! [SV295: set_val > set_val,SV60: set_val,SV371: set_val,SV184: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ ( sK33_SY944 @ SV184 @ SV371 @ SV60 @ SV295 ) @ ( sK55_SY1062 @ SV295 @ SV60 @ SV371 @ SV184 ) ) )
= $false )
| ( ( ord_less_set_val @ ( SV295 @ SV60 ) @ SV371 )
= $true )
| ( ( ord_less_set_val @ ( SV295 @ SV184 ) @ SV371 )
= $false )
| ( ( ord_less_eq_set_val @ SV60 @ SV184 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2450]) ).
thf(2612,plain,
! [SV60: set_val,SV371: set_val,SV184: set_val,SV295: set_val > set_val] :
( ( ( ord_less_eq_set_val @ ( SV295 @ ( sK33_SY944 @ SV184 @ SV371 @ SV60 @ SV295 ) ) @ ( SV295 @ ( sK55_SY1062 @ SV295 @ SV60 @ SV371 @ SV184 ) ) )
= $false )
| ( ( ord_less_set_val @ ( SV295 @ SV60 ) @ SV371 )
= $true )
| ( ( ord_less_set_val @ ( SV295 @ SV184 ) @ SV371 )
= $false )
| ( ( ord_less_eq_set_val @ SV60 @ SV184 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2450]) ).
thf(2613,plain,
! [SV185: set_val,SV61: set_val] :
( ( ( ord_less_set_val @ SV61 @ SV185 )
= $false )
| ( ( ord_less_set_val @ SV61 @ SV185 )
= $true )
| ( ( ord_less_eq_set_val @ SV61 @ SV185 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2451]) ).
thf(2614,plain,
! [SV297: set_val > val,SV64: set_val,SV372: val,SV188: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ ( sK34_SY947 @ SV188 @ SV372 @ SV64 @ SV297 ) @ ( sK56_SY1063 @ SV297 @ SV64 @ SV372 @ SV188 ) ) )
= $false )
| ( ( ord_less_eq_val @ ( SV297 @ SV64 ) @ SV372 )
= $true )
| ( ( ( SV297 @ SV188 )
= SV372 )
= $false )
| ( ( ord_less_eq_set_val @ SV64 @ SV188 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2454]) ).
thf(2615,plain,
! [SV64: set_val,SV372: val,SV188: set_val,SV297: set_val > val] :
( ( ( ord_less_eq_val @ ( SV297 @ ( sK34_SY947 @ SV188 @ SV372 @ SV64 @ SV297 ) ) @ ( SV297 @ ( sK56_SY1063 @ SV297 @ SV64 @ SV372 @ SV188 ) ) )
= $false )
| ( ( ord_less_eq_val @ ( SV297 @ SV64 ) @ SV372 )
= $true )
| ( ( ( SV297 @ SV188 )
= SV372 )
= $false )
| ( ( ord_less_eq_set_val @ SV64 @ SV188 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2454]) ).
thf(2616,plain,
! [SV298: set_val > set_val,SV66: set_val,SV373: set_val,SV190: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ ( sK35_SY950 @ SV190 @ SV373 @ SV66 @ SV298 ) @ ( sK57_SY1064 @ SV298 @ SV66 @ SV373 @ SV190 ) ) )
= $false )
| ( ( ord_less_eq_set_val @ ( SV298 @ SV66 ) @ SV373 )
= $true )
| ( ( ( SV298 @ SV190 )
= SV373 )
= $false )
| ( ( ord_less_eq_set_val @ SV66 @ SV190 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2455]) ).
thf(2617,plain,
! [SV66: set_val,SV373: set_val,SV190: set_val,SV298: set_val > set_val] :
( ( ( ord_less_eq_set_val @ ( SV298 @ ( sK35_SY950 @ SV190 @ SV373 @ SV66 @ SV298 ) ) @ ( SV298 @ ( sK57_SY1064 @ SV298 @ SV66 @ SV373 @ SV190 ) ) )
= $false )
| ( ( ord_less_eq_set_val @ ( SV298 @ SV66 ) @ SV373 )
= $true )
| ( ( ( SV298 @ SV190 )
= SV373 )
= $false )
| ( ( ord_less_eq_set_val @ SV66 @ SV190 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2455]) ).
thf(2618,plain,
! [SV374: $o > set_val,SV194: $o > set_val] :
( ( ( ~ ( ord_less_eq_set_val @ ( SV194 @ $false ) @ ( SV374 @ $false ) ) )
= $false )
| ( ( ord_le994826475et_val @ SV194 @ SV374 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2456]) ).
thf(2619,plain,
! [SV374: $o > set_val,SV194: $o > set_val] :
( ( ( ~ ( ord_less_eq_set_val @ ( SV194 @ $true ) @ ( SV374 @ $true ) ) )
= $false )
| ( ( ord_le994826475et_val @ SV194 @ SV374 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2456]) ).
thf(2620,plain,
! [SV374: $o > set_val,SV194: $o > set_val] :
( ( ( ~ ( ord_le994826475et_val @ SV194 @ SV374 )
| ~ ~ ( ~ ( ord_less_eq_set_val @ ( SV194 @ $false ) @ ( SV374 @ $false ) )
| ~ ( ord_less_eq_set_val @ ( SV194 @ $true ) @ ( SV374 @ $true ) ) ) )
= $false )
| ( ( ord_less_eq_set_val @ ( SV194 @ $false ) @ ( SV374 @ $false ) )
= $false )
| ( ( ord_less_eq_set_val @ ( SV194 @ $true ) @ ( SV374 @ $true ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2457]) ).
thf(2621,plain,
! [SV375: set_val,SV204: set_val,SV307: set_val,SV80: set_val] :
( ( ( ( SV80 != SV307 )
| ( SV204 != SV375 ) )
= $false )
| ( ( ~ ( ~ ~ ( ord_less_eq_set_val @ SV80 @ SV204 )
| ~ ~ ( ord_less_eq_set_val @ SV307 @ SV375 ) ) )
= $true )
| ( ( ( set_or1554624499et_val @ SV80 @ SV204 )
= ( set_or1554624499et_val @ SV307 @ SV375 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2458]) ).
thf(2622,plain,
! [SV307: set_val,SV80: set_val,SV375: set_val,SV204: set_val] :
( ( ( SV204 = SV375 )
= $false )
| ( ( SV80 = SV307 )
= $false )
| ( ( ~ ( ( ( set_or1554624499et_val @ SV80 @ SV204 )
!= ( set_or1554624499et_val @ SV307 @ SV375 ) )
| ~ ( ~ ( ( SV80 != SV307 )
| ( SV204 != SV375 ) )
| ~ ( ~ ~ ( ord_less_eq_set_val @ SV80 @ SV204 )
| ~ ~ ( ord_less_eq_set_val @ SV307 @ SV375 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2459]) ).
thf(2623,plain,
! [SV375: set_val,SV307: set_val,SV204: set_val,SV80: set_val] :
( ( ( ord_less_eq_set_val @ SV80 @ SV204 )
= $true )
| ( ( ~ ~ ( ord_less_eq_set_val @ SV307 @ SV375 ) )
= $true )
| ( ( ~ ( ( ( set_or1554624499et_val @ SV80 @ SV204 )
!= ( set_or1554624499et_val @ SV307 @ SV375 ) )
| ~ ( ~ ( ( SV80 != SV307 )
| ( SV204 != SV375 ) )
| ~ ( ~ ~ ( ord_less_eq_set_val @ SV80 @ SV204 )
| ~ ~ ( ord_less_eq_set_val @ SV307 @ SV375 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2460]) ).
thf(2624,plain,
! [SV376: set_val,SV206: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV206 @ SV376 ) )
= $false )
| ( ( ord_less_set_val @ SV206 @ SV376 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2461]) ).
thf(2625,plain,
! [SV376: set_val,SV206: set_val] :
( ( ( ~ ( ( SV206 != SV376 ) ) )
= $false )
| ( ( ord_less_set_val @ SV206 @ SV376 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2461]) ).
thf(2626,plain,
! [SV376: set_val,SV206: set_val] :
( ( ( SV206 = SV376 )
= $true )
| ( ( ord_less_eq_set_val @ SV206 @ SV376 )
= $false )
| ( ( ~ ( ~ ( ord_less_set_val @ SV206 @ SV376 )
| ~ ~ ( ~ ( ord_less_eq_set_val @ SV206 @ SV376 )
| ~ ( ( SV206 != SV376 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2462]) ).
thf(2627,plain,
! [SV207: val > set_val,SV83: set_val,SV377: val,SV310: val] :
( ( ( ~ ( ord_less_eq_val @ ( sK36_SY822 @ SV310 @ SV377 @ SV83 @ SV207 ) @ ( sK58_SY1065 @ SV207 @ SV83 @ SV377 @ SV310 ) ) )
= $false )
| ( ( ord_less_eq_set_val @ SV83 @ ( SV207 @ SV377 ) )
= $true )
| ( ( ord_less_eq_val @ SV310 @ SV377 )
= $false )
| ( ( SV83
= ( SV207 @ SV310 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2463]) ).
thf(2628,plain,
! [SV83: set_val,SV377: val,SV310: val,SV207: val > set_val] :
( ( ( ord_less_eq_set_val @ ( SV207 @ ( sK36_SY822 @ SV310 @ SV377 @ SV83 @ SV207 ) ) @ ( SV207 @ ( sK58_SY1065 @ SV207 @ SV83 @ SV377 @ SV310 ) ) )
= $false )
| ( ( ord_less_eq_set_val @ SV83 @ ( SV207 @ SV377 ) )
= $true )
| ( ( ord_less_eq_val @ SV310 @ SV377 )
= $false )
| ( ( SV83
= ( SV207 @ SV310 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2463]) ).
thf(2629,plain,
! [SV378: set_val,SV211: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV211 @ SV378 ) )
= $false )
| ( ( ord_less_set_val @ SV211 @ SV378 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2464]) ).
thf(2630,plain,
! [SV211: set_val,SV378: set_val] :
( ( ( ~ ~ ( ord_less_eq_set_val @ SV378 @ SV211 ) )
= $false )
| ( ( ord_less_set_val @ SV211 @ SV378 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2464]) ).
thf(2631,plain,
! [SV211: set_val,SV378: set_val] :
( ( ( ord_less_eq_set_val @ SV378 @ SV211 )
= $true )
| ( ( ord_less_eq_set_val @ SV211 @ SV378 )
= $false )
| ( ( ~ ( ~ ( ord_less_set_val @ SV211 @ SV378 )
| ~ ~ ( ~ ( ord_less_eq_set_val @ SV211 @ SV378 )
| ~ ~ ( ord_less_eq_set_val @ SV378 @ SV211 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2465]) ).
thf(2632,plain,
! [SV214: set_set_val > set_val,SV90: set_val,SV379: set_set_val,SV315: set_set_val] :
( ( ( ~ ( ord_le1742111550et_val @ ( sK37_SY830 @ SV315 @ SV379 @ SV90 @ SV214 ) @ ( sK59_SY1066 @ SV214 @ SV90 @ SV379 @ SV315 ) ) )
= $false )
| ( ( ord_less_eq_set_val @ SV90 @ ( SV214 @ SV379 ) )
= $true )
| ( ( ord_le1742111550et_val @ SV315 @ SV379 )
= $false )
| ( ( ord_less_eq_set_val @ SV90 @ ( SV214 @ SV315 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2466]) ).
thf(2633,plain,
! [SV90: set_val,SV379: set_set_val,SV315: set_set_val,SV214: set_set_val > set_val] :
( ( ( ord_less_eq_set_val @ ( SV214 @ ( sK37_SY830 @ SV315 @ SV379 @ SV90 @ SV214 ) ) @ ( SV214 @ ( sK59_SY1066 @ SV214 @ SV90 @ SV379 @ SV315 ) ) )
= $false )
| ( ( ord_less_eq_set_val @ SV90 @ ( SV214 @ SV379 ) )
= $true )
| ( ( ord_le1742111550et_val @ SV315 @ SV379 )
= $false )
| ( ( ord_less_eq_set_val @ SV90 @ ( SV214 @ SV315 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2466]) ).
thf(2634,plain,
! [SV216: set_val > set_val,SV92: set_val,SV380: set_val,SV317: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ ( sK38_SY835 @ SV317 @ SV380 @ SV92 @ SV216 ) @ ( sK60_SY1067 @ SV216 @ SV92 @ SV380 @ SV317 ) ) )
= $false )
| ( ( ord_less_set_val @ SV92 @ ( SV216 @ SV380 ) )
= $true )
| ( ( ord_less_eq_set_val @ SV317 @ SV380 )
= $false )
| ( ( ord_less_set_val @ SV92 @ ( SV216 @ SV317 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2467]) ).
thf(2635,plain,
! [SV92: set_val,SV380: set_val,SV317: set_val,SV216: set_val > set_val] :
( ( ( ord_less_eq_set_val @ ( SV216 @ ( sK38_SY835 @ SV317 @ SV380 @ SV92 @ SV216 ) ) @ ( SV216 @ ( sK60_SY1067 @ SV216 @ SV92 @ SV380 @ SV317 ) ) )
= $false )
| ( ( ord_less_set_val @ SV92 @ ( SV216 @ SV380 ) )
= $true )
| ( ( ord_less_eq_set_val @ SV317 @ SV380 )
= $false )
| ( ( ord_less_set_val @ SV92 @ ( SV216 @ SV317 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2467]) ).
thf(2636,plain,
! [SV222: set_val,SV381: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV381 @ SV222 ) )
= $false )
| ( ( SV222 = SV381 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2472]) ).
thf(2637,plain,
! [SV381: set_val,SV222: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV222 @ SV381 ) )
= $false )
| ( ( SV222 = SV381 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2472]) ).
thf(2638,plain,
! [SV381: set_val,SV222: set_val] :
( ( ( ( SV222 != SV381 )
| ~ ~ ( ~ ( ord_less_eq_set_val @ SV381 @ SV222 )
| ~ ( ord_less_eq_set_val @ SV222 @ SV381 ) ) )
= $false )
| ( ( ord_less_eq_set_val @ SV381 @ SV222 )
= $false )
| ( ( ord_less_eq_set_val @ SV222 @ SV381 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2473]) ).
thf(2639,plain,
! [SV397: set_val,SV321: set_val,SV382: set_val,SV223: set_val,SV99: $o] :
( ( ( ~ SV99 ) = $true )
| ( ( ord_less_eq_set_val @ ( if_set_val @ SV99 @ SV223 @ SV382 ) @ ( if_set_val @ SV99 @ SV321 @ SV397 ) )
= $true )
| ( SV99 = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2474]) ).
thf(2640,plain,
! [SV397: set_val,SV321: set_val,SV382: set_val,SV223: set_val,SV99: $o] :
( ( SV99 = $false )
| ( ( ord_less_eq_set_val @ ( if_set_val @ SV99 @ SV223 @ SV382 ) @ ( if_set_val @ SV99 @ SV321 @ SV397 ) )
= $true )
| ( ( ord_less_eq_set_val @ SV223 @ SV321 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2476]) ).
thf(2641,plain,
! [SV398: set_val,SV322: set_val,SV383: set_val,SV224: set_val] :
( ( ( ~ $true ) = $true )
| ( ( ord_less_eq_set_val @ ( if_set_val @ $true @ SV224 @ SV383 ) @ ( if_set_val @ $true @ SV322 @ SV398 ) )
= $true )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2477]) ).
thf(2642,plain,
! [SV398: set_val,SV322: set_val,SV383: set_val,SV224: set_val] :
( ( $true = $false )
| ( ( ord_less_eq_set_val @ ( if_set_val @ $true @ SV224 @ SV383 ) @ ( if_set_val @ $true @ SV322 @ SV398 ) )
= $true )
| ( ( ord_less_eq_set_val @ SV224 @ SV322 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2479]) ).
thf(2643,plain,
! [SV399: set_val,SV323: set_val,SV384: set_val,SV225: set_val] :
( ( ( ~ $false ) = $true )
| ( ( ord_less_eq_set_val @ ( if_set_val @ $false @ SV225 @ SV384 ) @ ( if_set_val @ $false @ SV323 @ SV399 ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2480]) ).
thf(2644,plain,
! [SV399: set_val,SV323: set_val,SV384: set_val,SV225: set_val] :
( ( $false = $false )
| ( ( ord_less_eq_set_val @ ( if_set_val @ $false @ SV225 @ SV384 ) @ ( if_set_val @ $false @ SV323 @ SV399 ) )
= $true )
| ( ( ord_less_eq_set_val @ SV225 @ SV323 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2482]) ).
thf(2645,plain,
! [SV385: set_val,SV226: set_val,SV407: val] :
( ( ( ~ ( member_val @ SV407 @ SV226 ) )
= $true )
| ( ( member_val @ SV407 @ SV385 )
= $true )
| ( ( ord_less_eq_set_val @ SV226 @ SV385 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2483]) ).
thf(2646,plain,
! [SV385: set_val,SV226: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV226 @ SV385 ) )
= $false )
| ( ( member_val @ ( sK18_SY1033 @ SV385 @ SV226 ) @ SV226 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2484]) ).
thf(2647,plain,
! [SV385: set_val,SV226: set_val] :
( ( ( ~ ! [SY1033: val] :
( ~ ( member_val @ SY1033 @ SV226 )
| ( member_val @ SY1033 @ SV385 ) ) )
= $false )
| ( ( member_val @ ( sK18_SY1033 @ SV385 @ SV226 ) @ SV226 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2484]) ).
thf(2648,plain,
! [SV385: set_val,SV226: set_val] :
( ( ( ord_less_eq_set_val @ SV226 @ SV385 )
= $true )
| ( ( member_val @ ( sK18_SY1033 @ SV385 @ SV226 ) @ SV385 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2485]) ).
thf(2649,plain,
! [SV385: set_val,SV226: set_val] :
( ( ( ! [SY1033: val] :
( ~ ( member_val @ SY1033 @ SV226 )
| ( member_val @ SY1033 @ SV385 ) ) )
= $true )
| ( ( member_val @ ( sK18_SY1033 @ SV385 @ SV226 ) @ SV385 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2486]) ).
thf(2650,plain,
! [SV227: set_val > set_val,SV101: set_val,SV386: set_val,SV325: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ ( sK39_SY854 @ SV325 @ SV386 @ SV101 @ SV227 ) @ ( sK61_SY1068 @ SV227 @ SV101 @ SV386 @ SV325 ) ) )
= $false )
| ( ( ord_less_eq_set_val @ SV101 @ ( SV227 @ SV386 ) )
= $true )
| ( ( ord_less_eq_set_val @ SV325 @ SV386 )
= $false )
| ( ( ord_less_eq_set_val @ SV101 @ ( SV227 @ SV325 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2487]) ).
thf(2651,plain,
! [SV101: set_val,SV386: set_val,SV325: set_val,SV227: set_val > set_val] :
( ( ( ord_less_eq_set_val @ ( SV227 @ ( sK39_SY854 @ SV325 @ SV386 @ SV101 @ SV227 ) ) @ ( SV227 @ ( sK61_SY1068 @ SV227 @ SV101 @ SV386 @ SV325 ) ) )
= $false )
| ( ( ord_less_eq_set_val @ SV101 @ ( SV227 @ SV386 ) )
= $true )
| ( ( ord_less_eq_set_val @ SV325 @ SV386 )
= $false )
| ( ( ord_less_eq_set_val @ SV101 @ ( SV227 @ SV325 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2487]) ).
thf(2652,plain,
! [SV232: set_val > set_val,SV402: set_val,SV401: set_val] :
( ( ( ord_less_eq_set_val @ SV401 @ SV402 )
= $false )
| ( ( ord_less_eq_set_val @ ( SV232 @ SV402 ) @ ( SV232 @ SV401 ) )
= $true )
| ( ( order_1719375026et_val @ SV232 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2488]) ).
thf(2653,plain,
! [SV232: set_val > set_val] :
( ( ( order_1719375026et_val @ SV232 )
= $true )
| ( ( ord_less_eq_set_val @ ( sK12_SY856 @ SV232 ) @ ( sK13_SY1047 @ SV232 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2489]) ).
thf(2654,plain,
! [SV232: set_val > set_val] :
( ( ( ! [SY856: set_val,SY857: set_val] :
( ~ ( ord_less_eq_set_val @ SY856 @ SY857 )
| ( ord_less_eq_set_val @ ( SV232 @ SY857 ) @ ( SV232 @ SY856 ) ) ) )
= $true )
| ( ( ord_less_eq_set_val @ ( sK12_SY856 @ SV232 ) @ ( sK13_SY1047 @ SV232 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2490]) ).
thf(2655,plain,
! [SV232: set_val > set_val,SV411: set_val] :
( ( ( ! [SY1075: set_val] :
( ~ ( ord_less_eq_set_val @ SV411 @ SY1075 )
| ( ord_less_eq_set_val @ ( SV232 @ SY1075 ) @ ( SV232 @ SV411 ) ) ) )
= $true )
| ( ( ord_less_eq_set_val @ ( SV232 @ ( sK13_SY1047 @ SV232 ) ) @ ( SV232 @ ( sK12_SY856 @ SV232 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2492]) ).
thf(2656,plain,
! [SV234: set_val > val,SV108: val,SV387: set_val,SV326: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ ( sK40_SY860 @ SV326 @ SV387 @ SV108 @ SV234 ) @ ( sK62_SY1069 @ SV234 @ SV108 @ SV387 @ SV326 ) ) )
= $false )
| ( ( ord_less_eq_val @ SV108 @ ( SV234 @ SV387 ) )
= $true )
| ( ( ord_less_eq_set_val @ SV326 @ SV387 )
= $false )
| ( ( SV108
= ( SV234 @ SV326 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2493]) ).
thf(2657,plain,
! [SV108: val,SV387: set_val,SV326: set_val,SV234: set_val > val] :
( ( ( ord_less_eq_val @ ( SV234 @ ( sK40_SY860 @ SV326 @ SV387 @ SV108 @ SV234 ) ) @ ( SV234 @ ( sK62_SY1069 @ SV234 @ SV108 @ SV387 @ SV326 ) ) )
= $false )
| ( ( ord_less_eq_val @ SV108 @ ( SV234 @ SV387 ) )
= $true )
| ( ( ord_less_eq_set_val @ SV326 @ SV387 )
= $false )
| ( ( SV108
= ( SV234 @ SV326 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2493]) ).
thf(2658,plain,
! [SV327: set_val > val,SV109: set_val,SV388: val,SV235: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ ( sK41_SY976 @ SV235 @ SV388 @ SV109 @ SV327 ) @ ( sK63_SY1070 @ SV327 @ SV109 @ SV388 @ SV235 ) ) )
= $false )
| ( ( ord_less_eq_val @ ( SV327 @ SV109 ) @ SV388 )
= $true )
| ( ( ord_less_eq_val @ ( SV327 @ SV235 ) @ SV388 )
= $false )
| ( ( ord_less_eq_set_val @ SV109 @ SV235 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2494]) ).
thf(2659,plain,
! [SV109: set_val,SV388: val,SV235: set_val,SV327: set_val > val] :
( ( ( ord_less_eq_val @ ( SV327 @ ( sK41_SY976 @ SV235 @ SV388 @ SV109 @ SV327 ) ) @ ( SV327 @ ( sK63_SY1070 @ SV327 @ SV109 @ SV388 @ SV235 ) ) )
= $false )
| ( ( ord_less_eq_val @ ( SV327 @ SV109 ) @ SV388 )
= $true )
| ( ( ord_less_eq_val @ ( SV327 @ SV235 ) @ SV388 )
= $false )
| ( ( ord_less_eq_set_val @ SV109 @ SV235 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2494]) ).
thf(2660,plain,
! [SV328: set_set_val > set_val,SV110: set_set_val,SV389: set_val,SV236: set_set_val] :
( ( ( ~ ( ord_le1742111550et_val @ ( sK42_SY979 @ SV236 @ SV389 @ SV110 @ SV328 ) @ ( sK64_SY1071 @ SV328 @ SV110 @ SV389 @ SV236 ) ) )
= $false )
| ( ( ord_less_eq_set_val @ ( SV328 @ SV110 ) @ SV389 )
= $true )
| ( ( ( SV328 @ SV236 )
= SV389 )
= $false )
| ( ( ord_le1742111550et_val @ SV110 @ SV236 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2495]) ).
thf(2661,plain,
! [SV110: set_set_val,SV389: set_val,SV236: set_set_val,SV328: set_set_val > set_val] :
( ( ( ord_less_eq_set_val @ ( SV328 @ ( sK42_SY979 @ SV236 @ SV389 @ SV110 @ SV328 ) ) @ ( SV328 @ ( sK64_SY1071 @ SV328 @ SV110 @ SV389 @ SV236 ) ) )
= $false )
| ( ( ord_less_eq_set_val @ ( SV328 @ SV110 ) @ SV389 )
= $true )
| ( ( ( SV328 @ SV236 )
= SV389 )
= $false )
| ( ( ord_le1742111550et_val @ SV110 @ SV236 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2495]) ).
thf(2662,plain,
! [SV330: set_val,SV390: set_val,SV238: set_val,SV112: $o] :
( ( SV112 = $false )
| ( ( ord_less_eq_set_val @ ( if_set_val @ SV112 @ SV238 @ SV390 ) @ SV330 )
= $true )
| ( SV112 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[2496]) ).
thf(2663,plain,
! [SV331: set_val,SV391: set_val,SV239: set_val] :
( ( $true = $false )
| ( ( ord_less_eq_set_val @ ( if_set_val @ $true @ SV239 @ SV391 ) @ SV331 )
= $true )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[2498]) ).
thf(2664,plain,
! [SV332: set_val,SV392: set_val,SV240: set_val] :
( ( $false = $false )
| ( ( ord_less_eq_set_val @ ( if_set_val @ $false @ SV240 @ SV392 ) @ SV332 )
= $true )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[2500]) ).
thf(2665,plain,
! [SV241: set_val > set_val,SV113: set_val,SV393: set_val,SV333: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ ( sK43_SY879 @ SV333 @ SV393 @ SV113 @ SV241 ) @ ( sK65_SY1072 @ SV241 @ SV113 @ SV393 @ SV333 ) ) )
= $false )
| ( ( ord_less_eq_set_val @ SV113 @ ( SV241 @ SV393 ) )
= $true )
| ( ( ord_less_eq_set_val @ SV333 @ SV393 )
= $false )
| ( ( SV113
= ( SV241 @ SV333 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2502]) ).
thf(2666,plain,
! [SV113: set_val,SV393: set_val,SV333: set_val,SV241: set_val > set_val] :
( ( ( ord_less_eq_set_val @ ( SV241 @ ( sK43_SY879 @ SV333 @ SV393 @ SV113 @ SV241 ) ) @ ( SV241 @ ( sK65_SY1072 @ SV241 @ SV113 @ SV393 @ SV333 ) ) )
= $false )
| ( ( ord_less_eq_set_val @ SV113 @ ( SV241 @ SV393 ) )
= $true )
| ( ( ord_less_eq_set_val @ SV333 @ SV393 )
= $false )
| ( ( SV113
= ( SV241 @ SV333 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2502]) ).
thf(2667,plain,
! [SV334: set_val > $o,SV243: set_val,SV115: set_val > $o] :
( ( ( ~ ( SV115 @ ( sK67_SY988 @ SV243 @ SV334 @ SV115 ) )
| ~ ! [SY1076: set_val] :
( ~ ( SV115 @ SY1076 )
| ( ord_less_eq_set_val @ SY1076 @ ( sK67_SY988 @ SV243 @ SV334 @ SV115 ) ) )
| ( SV334 @ ( sK67_SY988 @ SV243 @ SV334 @ SV115 ) ) )
= $false )
| ( ( SV334 @ ( order_1960465943et_val @ SV115 ) )
= $true )
| ( ( SV115 @ ( sK14_SY882 @ SV334 @ SV243 @ SV115 ) )
= $true )
| ( ( SV115 @ SV243 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2503]) ).
thf(2668,plain,
! [SV334: set_val > $o,SV243: set_val,SV115: set_val > $o] :
( ( ( ~ ( SV115 @ ( sK66_SY988 @ SV243 @ SV334 @ SV115 ) ) )
= $false )
| ( ( SV334 @ ( order_1960465943et_val @ SV115 ) )
= $true )
| ( ( ord_less_eq_set_val @ ( sK14_SY882 @ SV334 @ SV243 @ SV115 ) @ SV243 )
= $false )
| ( ( SV115 @ SV243 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2504]) ).
thf(2669,plain,
! [SV334: set_val > $o,SV243: set_val,SV115: set_val > $o] :
( ( ( ~ ! [SY1074: set_val] :
( ~ ( SV115 @ SY1074 )
| ( ord_less_eq_set_val @ SY1074 @ ( sK66_SY988 @ SV243 @ SV334 @ SV115 ) ) )
| ( SV334 @ ( sK66_SY988 @ SV243 @ SV334 @ SV115 ) ) )
= $false )
| ( ( SV334 @ ( order_1960465943et_val @ SV115 ) )
= $true )
| ( ( ord_less_eq_set_val @ ( sK14_SY882 @ SV334 @ SV243 @ SV115 ) @ SV243 )
= $false )
| ( ( SV115 @ SV243 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2504]) ).
thf(2670,plain,
! [SV394: set_val,SV244: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV244 @ SV394 ) )
= $false )
| ( ( ord_less_set_val @ SV244 @ SV394 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2505]) ).
thf(2671,plain,
! [SV244: set_val,SV394: set_val] :
( ( ( ~ ( ( SV394 != SV244 ) ) )
= $false )
| ( ( ord_less_set_val @ SV244 @ SV394 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2505]) ).
thf(2672,plain,
! [SV244: set_val,SV394: set_val] :
( ( ( SV394 = SV244 )
= $true )
| ( ( ord_less_eq_set_val @ SV244 @ SV394 )
= $false )
| ( ( ~ ( ~ ( ord_less_set_val @ SV244 @ SV394 )
| ~ ~ ( ~ ( ord_less_eq_set_val @ SV244 @ SV394 )
| ~ ( ( SV394 != SV244 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2506]) ).
thf(2673,plain,
! [SV245: set_val,SV336: set_val,SV117: set_val] :
( ( ( ord_less_eq_set_val @ SV117 @ SV336 )
= $true )
| ( ( ord_less_eq_set_val @ ( sup_sup_set_val @ SV117 @ SV245 ) @ SV336 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2507]) ).
thf(2674,plain,
! [SV117: set_val,SV336: set_val,SV245: set_val] :
( ( ( ord_less_eq_set_val @ SV245 @ SV336 )
= $true )
| ( ( ord_less_eq_set_val @ ( sup_sup_set_val @ SV117 @ SV245 ) @ SV336 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2508]) ).
thf(2675,plain,
! [SV336: set_val,SV245: set_val,SV117: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ ( sup_sup_set_val @ SV117 @ SV245 ) @ SV336 ) )
= $false )
| ( ( ord_less_eq_set_val @ SV117 @ SV336 )
= $false )
| ( ( ord_less_eq_set_val @ SV245 @ SV336 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2509]) ).
thf(2676,plain,
! [SV245: set_val,SV336: set_val,SV117: set_val] :
( ( ( ~ ~ ( ~ ( ord_less_eq_set_val @ SV117 @ SV336 )
| ~ ( ord_less_eq_set_val @ SV245 @ SV336 ) ) )
= $false )
| ( ( ord_less_eq_set_val @ SV117 @ SV336 )
= $false )
| ( ( ord_less_eq_set_val @ SV245 @ SV336 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2509]) ).
thf(2677,plain,
! [SV125: set_val > set_val,SV395: set_val,SV253: set_val > set_val,SV340: set_val] :
( ( ( ord_less_eq_set_val @ SV340 @ ( SV253 @ SV395 ) )
= $true )
| ( ( ord_less_eq_set_val @ SV340 @ ( SV253 @ SV395 ) )
= $false )
| ( ( refine1929691018et_val @ SV125 @ SV253 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2511]) ).
thf(2678,plain,
! [SV253: set_val > set_val,SV395: set_val,SV340: set_val,SV125: set_val > set_val] :
( ( ( ord_less_eq_set_val @ ( SV125 @ SV340 ) @ SV395 )
= $true )
| ( ( ord_less_eq_set_val @ SV340 @ ( SV253 @ SV395 ) )
= $false )
| ( ( refine1929691018et_val @ SV125 @ SV253 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2512]) ).
thf(2679,plain,
! [SV125: set_val > set_val,SV395: set_val,SV253: set_val > set_val,SV340: set_val] :
( ( ( ord_less_eq_set_val @ SV340 @ ( SV253 @ SV395 ) )
= $true )
| ( ( ord_less_eq_set_val @ ( SV125 @ SV340 ) @ SV395 )
= $false )
| ( ( refine1929691018et_val @ SV125 @ SV253 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2513]) ).
thf(2680,plain,
! [SV253: set_val > set_val,SV395: set_val,SV340: set_val,SV125: set_val > set_val] :
( ( ( ord_less_eq_set_val @ ( SV125 @ SV340 ) @ SV395 )
= $true )
| ( ( ord_less_eq_set_val @ ( SV125 @ SV340 ) @ SV395 )
= $false )
| ( ( refine1929691018et_val @ SV125 @ SV253 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2514]) ).
thf(2681,plain,
! [SV131: set_val > set_val,SV409: set_val,SV343: set_val > set_val,SV404: set_val] :
( ( ( ~ ( ( ord_less_eq_set_val @ SV404 @ ( SV343 @ SV409 ) )
| ( ord_less_eq_set_val @ ( SV131 @ SV404 ) @ SV409 ) )
| ~ ( ~ ( ord_less_eq_set_val @ SV404 @ ( SV343 @ SV409 ) )
| ~ ( ord_less_eq_set_val @ ( SV131 @ SV404 ) @ SV409 ) ) )
= $true )
| ( ( refine1929691018et_val @ SV131 @ SV343 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[2518]) ).
thf(2682,plain,
! [SV131: set_val > set_val,SV409: set_val,SV343: set_val > set_val,SV404: set_val] :
( ( ( ( ord_less_eq_set_val @ SV404 @ ( SV343 @ SV409 ) )
= ( ord_less_eq_set_val @ ( SV131 @ SV404 ) @ SV409 ) )
= $true )
| ( ( refine1929691018et_val @ SV131 @ SV343 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[2518]) ).
thf(2683,plain,
! [SV343: set_val > set_val,SV131: set_val > set_val] :
( ( ( ord_less_eq_set_val @ ( sK16_SY992 @ SV131 @ SV343 ) @ ( SV343 @ ( sK19_SY1048 @ SV343 @ SV131 ) ) )
= $true )
| ( ( ord_less_eq_set_val @ ( SV131 @ ( sK16_SY992 @ SV131 @ SV343 ) ) @ ( sK19_SY1048 @ SV343 @ SV131 ) )
= $true )
| ( ( ~ ( ~ ( refine1929691018et_val @ SV131 @ SV343 )
| ~ ! [SY992: set_val,SY993: set_val] :
( ( ord_less_eq_set_val @ SY992 @ ( SV343 @ SY993 ) )
= ( ord_less_eq_set_val @ ( SV131 @ SY992 ) @ SY993 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2519]) ).
thf(2684,plain,
! [SV343: set_val > set_val,SV131: set_val > set_val] :
( ( ( ~ ( ord_less_eq_set_val @ ( sK16_SY992 @ SV131 @ SV343 ) @ ( SV343 @ ( sK19_SY1048 @ SV343 @ SV131 ) ) ) )
= $true )
| ( ( ~ ( ord_less_eq_set_val @ ( SV131 @ ( sK16_SY992 @ SV131 @ SV343 ) ) @ ( sK19_SY1048 @ SV343 @ SV131 ) ) )
= $true )
| ( ( ~ ( ~ ( refine1929691018et_val @ SV131 @ SV343 )
| ~ ! [SY992: set_val,SY993: set_val] :
( ( ord_less_eq_set_val @ SY992 @ ( SV343 @ SY993 ) )
= ( ord_less_eq_set_val @ ( SV131 @ SY992 ) @ SY993 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2520]) ).
thf(2685,plain,
! [SV343: set_val > set_val,SV131: set_val > set_val] :
( ( ( refine1929691018et_val @ SV131 @ SV343 )
= $true )
| ( ( ( ord_less_eq_set_val @ ( sK16_SY992 @ SV131 @ SV343 ) @ ( SV343 @ ( sK19_SY1048 @ SV343 @ SV131 ) ) )
= ( ord_less_eq_set_val @ ( SV131 @ ( sK16_SY992 @ SV131 @ SV343 ) ) @ ( sK19_SY1048 @ SV343 @ SV131 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2521]) ).
thf(2686,plain,
! [SV131: set_val > set_val,SV343: set_val > set_val] :
( ( ( ! [SY992: set_val,SY993: set_val] :
( ( ord_less_eq_set_val @ SY992 @ ( SV343 @ SY993 ) )
= ( ord_less_eq_set_val @ ( SV131 @ SY992 ) @ SY993 ) ) )
= $true )
| ( ( ( ord_less_eq_set_val @ ( sK16_SY992 @ SV131 @ SV343 ) @ ( SV343 @ ( sK19_SY1048 @ SV343 @ SV131 ) ) )
= ( ord_less_eq_set_val @ ( SV131 @ ( sK16_SY992 @ SV131 @ SV343 ) ) @ ( sK19_SY1048 @ SV343 @ SV131 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2522]) ).
thf(2687,plain,
! [SV17: $o] :
( ( ( ~ SV17
| ~ $false )
= $false )
| ( SV17 = $false )
| ( SV17 = $false )
| ( SV17 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[2531]) ).
thf(2688,plain,
! [SV17: $o] :
( ( ( ~ SV17
| ~ $false )
= $false )
| ( $false = $false )
| ( SV17 = $false )
| ( SV17 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[2532]) ).
thf(2689,plain,
! [SV17: $o] :
( ( ( ~ SV17
| ~ $false )
= $false )
| ( SV17 = $false )
| ( SV17 = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[2533]) ).
thf(2690,plain,
! [SV17: $o] :
( ( ( ~ SV17
| ~ $false )
= $false )
| ( $false = $false )
| ( SV17 = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[2534]) ).
thf(2691,plain,
! [SV17: $o] :
( ( ( ~ SV17
| ~ $false )
= $false )
| ( SV17 = $false )
| ( $true = $false )
| ( SV17 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[2535]) ).
thf(2692,plain,
! [SV17: $o] :
( ( ( ~ SV17
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( SV17 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[2536]) ).
thf(2693,plain,
! [SV17: $o] :
( ( ( ~ SV17
| ~ $false )
= $false )
| ( SV17 = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[2537]) ).
thf(2694,plain,
! [SV17: $o] :
( ( ( ~ SV17
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[2538]) ).
thf(2695,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[2539]) ).
thf(2696,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[2540]) ).
thf(2697,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[2541]) ).
thf(2698,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[2542]) ).
thf(2699,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[2543]) ).
thf(2700,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[2544]) ).
thf(2701,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[2545]) ).
thf(2702,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[2546]) ).
thf(2703,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[2547]) ).
thf(2704,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[2548]) ).
thf(2705,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[2549]) ).
thf(2706,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[2550]) ).
thf(2707,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[2551]) ).
thf(2708,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[2552]) ).
thf(2709,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[2553]) ).
thf(2710,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[2554]) ).
thf(2711,plain,
! [SV19: set_val > set_val > set_val,SV144: set_val,SV266: set_val] :
( ( ( ! [SY1077: set_val,SY1078: set_val] :
( ~ ( ord_less_eq_set_val @ SY1077 @ ( sK68_SY441 @ SV266 @ SV144 @ SV19 ) )
| ~ ( ord_less_eq_set_val @ SY1078 @ ( sK68_SY441 @ SV266 @ SV144 @ SV19 ) )
| ( ord_less_eq_set_val @ ( SV19 @ SY1077 @ SY1078 ) @ ( sK68_SY441 @ SV266 @ SV144 @ SV19 ) ) ) )
= $false )
| ( ( ( sup_sup_set_val @ SV144 @ SV266 )
= ( SV19 @ SV144 @ SV266 ) )
= $true )
| ( ( ord_less_eq_set_val @ ( sK21_SY1049 @ SV144 @ SV266 @ SV19 ) @ ( SV19 @ ( sK20_SY439 @ SV266 @ SV144 @ SV19 ) @ ( sK21_SY1049 @ SV144 @ SV266 @ SV19 ) ) )
= $false )
| ( ( ord_less_eq_set_val @ ( sK7_SY437 @ SV266 @ SV144 @ SV19 ) @ ( SV19 @ ( sK7_SY437 @ SV266 @ SV144 @ SV19 ) @ ( sK9_SY1046 @ SV19 @ SV144 @ SV266 ) ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2555]) ).
thf(2712,plain,
! [SV147: val > set_val,SV22: set_val,SV351: val,SV268: val] :
( ( ( ord_less_eq_val @ ( sK22_SY726 @ SV268 @ SV351 @ SV22 @ SV147 ) @ ( sK44_SY1051 @ SV147 @ SV22 @ SV351 @ SV268 ) )
= $true )
| ( ( ord_less_eq_set_val @ SV22 @ ( SV147 @ SV351 ) )
= $true )
| ( ( ord_less_eq_val @ SV268 @ SV351 )
= $false )
| ( ( ord_less_eq_set_val @ SV22 @ ( SV147 @ SV268 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2556]) ).
thf(2713,plain,
! [SV269: set_val > set_set_val,SV24: set_val,SV352: set_set_val,SV148: set_val] :
( ( ( ord_less_eq_set_val @ ( sK23_SY910 @ SV148 @ SV352 @ SV24 @ SV269 ) @ ( sK45_SY1052 @ SV269 @ SV24 @ SV352 @ SV148 ) )
= $true )
| ( ( ord_le1742111550et_val @ ( SV269 @ SV24 ) @ SV352 )
= $true )
| ( ( ord_le1742111550et_val @ ( SV269 @ SV148 ) @ SV352 )
= $false )
| ( ( ord_less_eq_set_val @ SV24 @ SV148 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2558]) ).
thf(2714,plain,
! [SV353: set_val,SV149: set_val] :
( ( ( ord_less_eq_set_val @ SV149 @ SV353 )
= $true )
| ( ( ord_less_set_val @ SV149 @ SV353 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2560]) ).
thf(2715,plain,
! [SV353: set_val,SV149: set_val] :
( ( ( SV149 != SV353 )
= $true )
| ( ( ord_less_set_val @ SV149 @ SV353 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2561]) ).
thf(2716,plain,
! [SV353: set_val,SV149: set_val] :
( ( ( ~ ( ord_less_set_val @ SV149 @ SV353 )
| ~ ~ ( ~ ( ord_less_eq_set_val @ SV149 @ SV353 )
| ~ ( ( SV149 != SV353 ) ) ) )
= $false )
| ( ( ord_less_eq_set_val @ SV149 @ SV353 )
= $false )
| ( ( SV149 = SV353 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2562]) ).
thf(2717,plain,
! [SV354: set_val,SV150: set_val] :
( ( ( ord_less_eq_set_val @ SV150 @ SV354 )
= $true )
| ( ( SV150 = SV354 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2563]) ).
thf(2718,plain,
! [SV150: set_val,SV354: set_val] :
( ( ( ord_less_eq_set_val @ SV354 @ SV150 )
= $true )
| ( ( SV150 = SV354 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2564]) ).
thf(2719,plain,
! [SV354: set_val,SV150: set_val] :
( ( ( SV150 != SV354 )
= $false )
| ( ( ord_less_eq_set_val @ SV150 @ SV354 )
= $false )
| ( ( ord_less_eq_set_val @ SV354 @ SV150 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2565]) ).
thf(2720,plain,
! [SV354: set_val,SV150: set_val] :
( ( ( ~ ~ ( ~ ( ord_less_eq_set_val @ SV150 @ SV354 )
| ~ ( ord_less_eq_set_val @ SV354 @ SV150 ) ) )
= $false )
| ( ( ord_less_eq_set_val @ SV150 @ SV354 )
= $false )
| ( ( ord_less_eq_set_val @ SV354 @ SV150 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2565]) ).
thf(2721,plain,
! [SV151: set_val > set_set_val,SV27: set_set_val,SV355: set_val,SV272: set_val] :
( ( ( ord_less_eq_set_val @ ( sK24_SY737 @ SV272 @ SV355 @ SV27 @ SV151 ) @ ( sK46_SY1053 @ SV151 @ SV27 @ SV355 @ SV272 ) )
= $true )
| ( ( ord_le1742111550et_val @ SV27 @ ( SV151 @ SV355 ) )
= $true )
| ( ( ord_less_eq_set_val @ SV272 @ SV355 )
= $false )
| ( ( ord_le1742111550et_val @ SV27 @ ( SV151 @ SV272 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2566]) ).
thf(2722,plain,
! [SV356: set_val,SV152: set_val] :
( ( ( ord_less_eq_set_val @ SV152 @ SV356 )
= $true )
| ( ( ord_less_set_val @ SV152 @ SV356 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2568]) ).
thf(2723,plain,
! [SV152: set_val,SV356: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV356 @ SV152 ) )
= $true )
| ( ( ord_less_set_val @ SV152 @ SV356 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2569]) ).
thf(2724,plain,
! [SV356: set_val,SV152: set_val] :
( ( ( ~ ( ord_less_set_val @ SV152 @ SV356 )
| ~ ~ ( ~ ( ord_less_eq_set_val @ SV152 @ SV356 )
| ~ ~ ( ord_less_eq_set_val @ SV356 @ SV152 ) ) )
= $false )
| ( ( ord_less_eq_set_val @ SV152 @ SV356 )
= $false )
| ( ( ord_less_eq_set_val @ SV356 @ SV152 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2570]) ).
thf(2725,plain,
! [SV357: set_val,SV153: set_val] :
( ( ( ord_less_eq_set_val @ SV153 @ SV357 )
= $true )
| ( ( ord_less_set_val @ SV153 @ SV357 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2571]) ).
thf(2726,plain,
! [SV357: set_val,SV153: set_val] :
( ( ( SV153 != SV357 )
= $true )
| ( ( ord_less_set_val @ SV153 @ SV357 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2572]) ).
thf(2727,plain,
! [SV357: set_val,SV153: set_val] :
( ( ( ~ ( ord_less_set_val @ SV153 @ SV357 )
| ~ ~ ( ~ ( ord_less_eq_set_val @ SV153 @ SV357 )
| ~ ( ( SV153 != SV357 ) ) ) )
= $false )
| ( ( ord_less_eq_set_val @ SV153 @ SV357 )
= $false )
| ( ( SV153 = SV357 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2573]) ).
thf(2728,plain,
! [SV275: set_val,SV156: set_val,SV32: set_val] :
( ( ( ord_less_eq_set_val @ ( sup_sup_set_val @ SV32 @ SV156 ) @ SV275 )
= $true )
| ( ( ord_less_eq_set_val @ SV32 @ SV275 )
= $false )
| ( ( ord_less_eq_set_val @ SV156 @ SV275 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2576]) ).
thf(2729,plain,
! [SV156: set_val,SV275: set_val,SV32: set_val] :
( ( ( ~ ( ~ ( ord_less_eq_set_val @ SV32 @ SV275 )
| ~ ( ord_less_eq_set_val @ SV156 @ SV275 ) ) )
= $true )
| ( ( ord_less_eq_set_val @ SV32 @ SV275 )
= $false )
| ( ( ord_less_eq_set_val @ SV156 @ SV275 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2577]) ).
thf(2730,plain,
! [SV157: set_val > val,SV33: val,SV358: set_val,SV276: set_val] :
( ( ( ord_less_eq_set_val @ ( sK25_SY744 @ SV276 @ SV358 @ SV33 @ SV157 ) @ ( sK47_SY1054 @ SV157 @ SV33 @ SV358 @ SV276 ) )
= $true )
| ( ( ord_less_eq_val @ SV33 @ ( SV157 @ SV358 ) )
= $true )
| ( ( ord_less_eq_set_val @ SV276 @ SV358 )
= $false )
| ( ( ord_less_eq_val @ SV33 @ ( SV157 @ SV276 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2578]) ).
thf(2731,plain,
! [SV277: set_val,SV159: set_val,SV35: set_val] :
( ( ( ord_less_eq_set_val @ ( sup_sup_set_val @ SV35 @ SV159 ) @ SV277 )
= $true )
| ( ( ord_less_eq_set_val @ SV35 @ SV277 )
= $false )
| ( ( ord_less_eq_set_val @ SV159 @ SV277 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2582]) ).
thf(2732,plain,
! [SV159: set_val,SV277: set_val,SV35: set_val] :
( ( ( ~ ( ~ ( ord_less_eq_set_val @ SV35 @ SV277 )
| ~ ( ord_less_eq_set_val @ SV159 @ SV277 ) ) )
= $true )
| ( ( ord_less_eq_set_val @ SV35 @ SV277 )
= $false )
| ( ( ord_less_eq_set_val @ SV159 @ SV277 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2583]) ).
thf(2733,plain,
! [SV278: set_val > set_set_val,SV36: set_val,SV359: set_set_val,SV160: set_val] :
( ( ( ord_less_eq_set_val @ ( sK26_SY919 @ SV160 @ SV359 @ SV36 @ SV278 ) @ ( sK48_SY1055 @ SV278 @ SV36 @ SV359 @ SV160 ) )
= $true )
| ( ( ord_le1742111550et_val @ ( SV278 @ SV36 ) @ SV359 )
= $true )
| ( ( ( SV278 @ SV160 )
= SV359 )
= $false )
| ( ( ord_less_eq_set_val @ SV36 @ SV160 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2584]) ).
thf(2734,plain,
! [SV279: val > set_val,SV38: val,SV360: set_val,SV162: val] :
( ( ( ord_less_eq_val @ ( sK27_SY922 @ SV162 @ SV360 @ SV38 @ SV279 ) @ ( sK49_SY1056 @ SV279 @ SV38 @ SV360 @ SV162 ) )
= $true )
| ( ( ord_less_eq_set_val @ ( SV279 @ SV38 ) @ SV360 )
= $true )
| ( ( ( SV279 @ SV162 )
= SV360 )
= $false )
| ( ( ord_less_eq_val @ SV38 @ SV162 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2586]) ).
thf(2735,plain,
! [SV282: set_val > set_val,SV42: set_val,SV361: set_val,SV166: set_val] :
( ( ( ord_less_eq_set_val @ ( sK28_SY925 @ SV166 @ SV361 @ SV42 @ SV282 ) @ ( sK50_SY1057 @ SV282 @ SV42 @ SV361 @ SV166 ) )
= $true )
| ( ( ord_less_eq_set_val @ ( SV282 @ SV42 ) @ SV361 )
= $true )
| ( ( ord_less_eq_set_val @ ( SV282 @ SV166 ) @ SV361 )
= $false )
| ( ( ord_less_eq_set_val @ SV42 @ SV166 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2588]) ).
thf(2736,plain,
! [SV362: set_val,SV167: set_val] :
( ( ( ord_less_eq_set_val @ SV167 @ SV362 )
= $true )
| ( ( SV167 = SV362 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2590]) ).
thf(2737,plain,
! [SV167: set_val,SV362: set_val] :
( ( ( ord_less_eq_set_val @ SV362 @ SV167 )
= $true )
| ( ( SV167 = SV362 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2591]) ).
thf(2738,plain,
! [SV362: set_val,SV167: set_val] :
( ( ( SV167 != SV362 )
= $false )
| ( ( ord_less_eq_set_val @ SV167 @ SV362 )
= $false )
| ( ( ord_less_eq_set_val @ SV362 @ SV167 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2592]) ).
thf(2739,plain,
! [SV362: set_val,SV167: set_val] :
( ( ( ~ ~ ( ~ ( ord_less_eq_set_val @ SV167 @ SV362 )
| ~ ( ord_less_eq_set_val @ SV362 @ SV167 ) ) )
= $false )
| ( ( ord_less_eq_set_val @ SV167 @ SV362 )
= $false )
| ( ( ord_less_eq_set_val @ SV362 @ SV167 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2592]) ).
thf(2740,plain,
! [SV168: val > $o,SV410: val,SV44: val > $o] :
( ( ( ~ ( SV44 @ SV410 ) )
= $true )
| ( ( SV168 @ SV410 )
= $true )
| ( ( SV44 @ ( sK10_SY763 @ SV168 @ SV44 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2593]) ).
thf(2741,plain,
! [SV168: val > $o,SV405: val,SV44: val > $o] :
( ( ( SV44 @ SV405 )
= $false )
| ( ( SV168 @ SV405 )
= $true )
| ( ( SV168 @ ( sK10_SY763 @ SV168 @ SV44 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2594]) ).
thf(2742,plain,
! [SV169: set_val > set_set_val,SV45: set_set_val,SV363: set_val,SV284: set_val] :
( ( ( ord_less_eq_set_val @ ( sK29_SY766 @ SV284 @ SV363 @ SV45 @ SV169 ) @ ( sK51_SY1058 @ SV169 @ SV45 @ SV363 @ SV284 ) )
= $true )
| ( ( ord_le1742111550et_val @ SV45 @ ( SV169 @ SV363 ) )
= $true )
| ( ( ord_less_eq_set_val @ SV284 @ SV363 )
= $false )
| ( ( SV45
= ( SV169 @ SV284 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2595]) ).
thf(2743,plain,
! [SV285: set_set_val > set_val,SV46: set_set_val,SV364: set_val,SV170: set_set_val] :
( ( ( ord_le1742111550et_val @ ( sK30_SY931 @ SV170 @ SV364 @ SV46 @ SV285 ) @ ( sK52_SY1059 @ SV285 @ SV46 @ SV364 @ SV170 ) )
= $true )
| ( ( ord_less_eq_set_val @ ( SV285 @ SV46 ) @ SV364 )
= $true )
| ( ( ord_less_eq_set_val @ ( SV285 @ SV170 ) @ SV364 )
= $false )
| ( ( ord_le1742111550et_val @ SV46 @ SV170 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2597]) ).
thf(2744,plain,
! [SV173: set_set_val > set_val,SV49: set_val,SV366: set_set_val,SV287: set_set_val] :
( ( ( ord_le1742111550et_val @ ( sK31_SY776 @ SV287 @ SV366 @ SV49 @ SV173 ) @ ( sK53_SY1060 @ SV173 @ SV49 @ SV366 @ SV287 ) )
= $true )
| ( ( ord_less_eq_set_val @ SV49 @ ( SV173 @ SV366 ) )
= $true )
| ( ( ord_le1742111550et_val @ SV287 @ SV366 )
= $false )
| ( ( SV49
= ( SV173 @ SV287 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2599]) ).
thf(2745,plain,
! [SV367: set_val,SV175: set_val,SV406: val] :
( ( ( member_val @ SV406 @ SV175 )
= $false )
| ( ( member_val @ SV406 @ SV367 )
= $true )
| ( ( ord_less_eq_set_val @ SV175 @ SV367 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2601]) ).
thf(2746,plain,
! [SV367: set_val,SV175: set_val] :
( ( ( ord_less_eq_set_val @ SV175 @ SV367 )
= $true )
| ( ( member_val @ ( sK17_SY1014 @ SV367 @ SV175 ) @ SV175 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2602]) ).
thf(2747,plain,
! [SV367: set_val,SV175: set_val] :
( ( ( ! [SY1014: val] :
( ~ ( member_val @ SY1014 @ SV175 )
| ( member_val @ SY1014 @ SV367 ) ) )
= $true )
| ( ( member_val @ ( sK17_SY1014 @ SV367 @ SV175 ) @ SV175 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2603]) ).
thf(2748,plain,
! [SV367: set_val,SV175: set_val,SV412: val] :
( ( ( ~ ( member_val @ SV412 @ SV175 )
| ( member_val @ SV412 @ SV367 ) )
= $true )
| ( ( member_val @ ( sK17_SY1014 @ SV367 @ SV175 ) @ SV367 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2605]) ).
thf(2749,plain,
! [SV290: val > set_val,SV53: val,SV368: set_val,SV177: val] :
( ( ( ord_less_eq_val @ ( sK32_SY939 @ SV177 @ SV368 @ SV53 @ SV290 ) @ ( sK54_SY1061 @ SV290 @ SV53 @ SV368 @ SV177 ) )
= $true )
| ( ( ord_less_eq_set_val @ ( SV290 @ SV53 ) @ SV368 )
= $true )
| ( ( ord_less_eq_set_val @ ( SV290 @ SV177 ) @ SV368 )
= $false )
| ( ( ord_less_eq_val @ SV53 @ SV177 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2606]) ).
thf(2750,plain,
! [SV370: set_val,SV183: set_val] :
( ( ( ord_less_eq_set_val @ SV183 @ SV370 )
= $true )
| ( ( SV183 = SV370 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2608]) ).
thf(2751,plain,
! [SV183: set_val,SV370: set_val] :
( ( ( ord_less_eq_set_val @ SV370 @ SV183 )
= $true )
| ( ( SV183 = SV370 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2609]) ).
thf(2752,plain,
! [SV370: set_val,SV183: set_val] :
( ( ( SV183 != SV370 )
= $false )
| ( ( ord_less_eq_set_val @ SV183 @ SV370 )
= $false )
| ( ( ord_less_eq_set_val @ SV370 @ SV183 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2610]) ).
thf(2753,plain,
! [SV370: set_val,SV183: set_val] :
( ( ( ~ ~ ( ~ ( ord_less_eq_set_val @ SV183 @ SV370 )
| ~ ( ord_less_eq_set_val @ SV370 @ SV183 ) ) )
= $false )
| ( ( ord_less_eq_set_val @ SV183 @ SV370 )
= $false )
| ( ( ord_less_eq_set_val @ SV370 @ SV183 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2610]) ).
thf(2754,plain,
! [SV295: set_val > set_val,SV60: set_val,SV371: set_val,SV184: set_val] :
( ( ( ord_less_eq_set_val @ ( sK33_SY944 @ SV184 @ SV371 @ SV60 @ SV295 ) @ ( sK55_SY1062 @ SV295 @ SV60 @ SV371 @ SV184 ) )
= $true )
| ( ( ord_less_set_val @ ( SV295 @ SV60 ) @ SV371 )
= $true )
| ( ( ord_less_set_val @ ( SV295 @ SV184 ) @ SV371 )
= $false )
| ( ( ord_less_eq_set_val @ SV60 @ SV184 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2611]) ).
thf(2755,plain,
! [SV297: set_val > val,SV64: set_val,SV372: val,SV188: set_val] :
( ( ( ord_less_eq_set_val @ ( sK34_SY947 @ SV188 @ SV372 @ SV64 @ SV297 ) @ ( sK56_SY1063 @ SV297 @ SV64 @ SV372 @ SV188 ) )
= $true )
| ( ( ord_less_eq_val @ ( SV297 @ SV64 ) @ SV372 )
= $true )
| ( ( ( SV297 @ SV188 )
= SV372 )
= $false )
| ( ( ord_less_eq_set_val @ SV64 @ SV188 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2614]) ).
thf(2756,plain,
! [SV298: set_val > set_val,SV66: set_val,SV373: set_val,SV190: set_val] :
( ( ( ord_less_eq_set_val @ ( sK35_SY950 @ SV190 @ SV373 @ SV66 @ SV298 ) @ ( sK57_SY1064 @ SV298 @ SV66 @ SV373 @ SV190 ) )
= $true )
| ( ( ord_less_eq_set_val @ ( SV298 @ SV66 ) @ SV373 )
= $true )
| ( ( ( SV298 @ SV190 )
= SV373 )
= $false )
| ( ( ord_less_eq_set_val @ SV66 @ SV190 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2616]) ).
thf(2757,plain,
! [SV374: $o > set_val,SV194: $o > set_val] :
( ( ( ord_less_eq_set_val @ ( SV194 @ $false ) @ ( SV374 @ $false ) )
= $true )
| ( ( ord_le994826475et_val @ SV194 @ SV374 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2618]) ).
thf(2758,plain,
! [SV374: $o > set_val,SV194: $o > set_val] :
( ( ( ord_less_eq_set_val @ ( SV194 @ $true ) @ ( SV374 @ $true ) )
= $true )
| ( ( ord_le994826475et_val @ SV194 @ SV374 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2619]) ).
thf(2759,plain,
! [SV374: $o > set_val,SV194: $o > set_val] :
( ( ( ~ ( ord_le994826475et_val @ SV194 @ SV374 ) )
= $false )
| ( ( ord_less_eq_set_val @ ( SV194 @ $false ) @ ( SV374 @ $false ) )
= $false )
| ( ( ord_less_eq_set_val @ ( SV194 @ $true ) @ ( SV374 @ $true ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2620]) ).
thf(2760,plain,
! [SV374: $o > set_val,SV194: $o > set_val] :
( ( ( ~ ~ ( ~ ( ord_less_eq_set_val @ ( SV194 @ $false ) @ ( SV374 @ $false ) )
| ~ ( ord_less_eq_set_val @ ( SV194 @ $true ) @ ( SV374 @ $true ) ) ) )
= $false )
| ( ( ord_less_eq_set_val @ ( SV194 @ $false ) @ ( SV374 @ $false ) )
= $false )
| ( ( ord_less_eq_set_val @ ( SV194 @ $true ) @ ( SV374 @ $true ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2620]) ).
thf(2761,plain,
! [SV375: set_val,SV204: set_val,SV307: set_val,SV80: set_val] :
( ( ( SV80 != SV307 )
= $false )
| ( ( ~ ( ~ ~ ( ord_less_eq_set_val @ SV80 @ SV204 )
| ~ ~ ( ord_less_eq_set_val @ SV307 @ SV375 ) ) )
= $true )
| ( ( ( set_or1554624499et_val @ SV80 @ SV204 )
= ( set_or1554624499et_val @ SV307 @ SV375 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2621]) ).
thf(2762,plain,
! [SV307: set_val,SV80: set_val,SV375: set_val,SV204: set_val] :
( ( ( SV204 != SV375 )
= $false )
| ( ( ~ ( ~ ~ ( ord_less_eq_set_val @ SV80 @ SV204 )
| ~ ~ ( ord_less_eq_set_val @ SV307 @ SV375 ) ) )
= $true )
| ( ( ( set_or1554624499et_val @ SV80 @ SV204 )
= ( set_or1554624499et_val @ SV307 @ SV375 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2621]) ).
thf(2763,plain,
! [SV375: set_val,SV307: set_val,SV204: set_val,SV80: set_val] :
( ( ( ( ( set_or1554624499et_val @ SV80 @ SV204 )
!= ( set_or1554624499et_val @ SV307 @ SV375 ) )
| ~ ( ~ ( ( SV80 != SV307 )
| ( SV204 != SV375 ) )
| ~ ( ~ ~ ( ord_less_eq_set_val @ SV80 @ SV204 )
| ~ ~ ( ord_less_eq_set_val @ SV307 @ SV375 ) ) ) )
= $false )
| ( ( SV80 = SV307 )
= $false )
| ( ( SV204 = SV375 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2622]) ).
thf(2764,plain,
! [SV204: set_val,SV80: set_val,SV375: set_val,SV307: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV307 @ SV375 ) )
= $false )
| ( ( ord_less_eq_set_val @ SV80 @ SV204 )
= $true )
| ( ( ~ ( ( ( set_or1554624499et_val @ SV80 @ SV204 )
!= ( set_or1554624499et_val @ SV307 @ SV375 ) )
| ~ ( ~ ( ( SV80 != SV307 )
| ( SV204 != SV375 ) )
| ~ ( ~ ~ ( ord_less_eq_set_val @ SV80 @ SV204 )
| ~ ~ ( ord_less_eq_set_val @ SV307 @ SV375 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2623]) ).
thf(2765,plain,
! [SV376: set_val,SV206: set_val] :
( ( ( ord_less_eq_set_val @ SV206 @ SV376 )
= $true )
| ( ( ord_less_set_val @ SV206 @ SV376 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2624]) ).
thf(2766,plain,
! [SV376: set_val,SV206: set_val] :
( ( ( SV206 != SV376 )
= $true )
| ( ( ord_less_set_val @ SV206 @ SV376 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2625]) ).
thf(2767,plain,
! [SV376: set_val,SV206: set_val] :
( ( ( ~ ( ord_less_set_val @ SV206 @ SV376 )
| ~ ~ ( ~ ( ord_less_eq_set_val @ SV206 @ SV376 )
| ~ ( ( SV206 != SV376 ) ) ) )
= $false )
| ( ( ord_less_eq_set_val @ SV206 @ SV376 )
= $false )
| ( ( SV206 = SV376 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2626]) ).
thf(2768,plain,
! [SV207: val > set_val,SV83: set_val,SV377: val,SV310: val] :
( ( ( ord_less_eq_val @ ( sK36_SY822 @ SV310 @ SV377 @ SV83 @ SV207 ) @ ( sK58_SY1065 @ SV207 @ SV83 @ SV377 @ SV310 ) )
= $true )
| ( ( ord_less_eq_set_val @ SV83 @ ( SV207 @ SV377 ) )
= $true )
| ( ( ord_less_eq_val @ SV310 @ SV377 )
= $false )
| ( ( SV83
= ( SV207 @ SV310 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2627]) ).
thf(2769,plain,
! [SV378: set_val,SV211: set_val] :
( ( ( ord_less_eq_set_val @ SV211 @ SV378 )
= $true )
| ( ( ord_less_set_val @ SV211 @ SV378 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2629]) ).
thf(2770,plain,
! [SV211: set_val,SV378: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV378 @ SV211 ) )
= $true )
| ( ( ord_less_set_val @ SV211 @ SV378 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2630]) ).
thf(2771,plain,
! [SV378: set_val,SV211: set_val] :
( ( ( ~ ( ord_less_set_val @ SV211 @ SV378 )
| ~ ~ ( ~ ( ord_less_eq_set_val @ SV211 @ SV378 )
| ~ ~ ( ord_less_eq_set_val @ SV378 @ SV211 ) ) )
= $false )
| ( ( ord_less_eq_set_val @ SV211 @ SV378 )
= $false )
| ( ( ord_less_eq_set_val @ SV378 @ SV211 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2631]) ).
thf(2772,plain,
! [SV214: set_set_val > set_val,SV90: set_val,SV379: set_set_val,SV315: set_set_val] :
( ( ( ord_le1742111550et_val @ ( sK37_SY830 @ SV315 @ SV379 @ SV90 @ SV214 ) @ ( sK59_SY1066 @ SV214 @ SV90 @ SV379 @ SV315 ) )
= $true )
| ( ( ord_less_eq_set_val @ SV90 @ ( SV214 @ SV379 ) )
= $true )
| ( ( ord_le1742111550et_val @ SV315 @ SV379 )
= $false )
| ( ( ord_less_eq_set_val @ SV90 @ ( SV214 @ SV315 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2632]) ).
thf(2773,plain,
! [SV216: set_val > set_val,SV92: set_val,SV380: set_val,SV317: set_val] :
( ( ( ord_less_eq_set_val @ ( sK38_SY835 @ SV317 @ SV380 @ SV92 @ SV216 ) @ ( sK60_SY1067 @ SV216 @ SV92 @ SV380 @ SV317 ) )
= $true )
| ( ( ord_less_set_val @ SV92 @ ( SV216 @ SV380 ) )
= $true )
| ( ( ord_less_eq_set_val @ SV317 @ SV380 )
= $false )
| ( ( ord_less_set_val @ SV92 @ ( SV216 @ SV317 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2634]) ).
thf(2774,plain,
! [SV222: set_val,SV381: set_val] :
( ( ( ord_less_eq_set_val @ SV381 @ SV222 )
= $true )
| ( ( SV222 = SV381 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2636]) ).
thf(2775,plain,
! [SV381: set_val,SV222: set_val] :
( ( ( ord_less_eq_set_val @ SV222 @ SV381 )
= $true )
| ( ( SV222 = SV381 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2637]) ).
thf(2776,plain,
! [SV381: set_val,SV222: set_val] :
( ( ( SV222 != SV381 )
= $false )
| ( ( ord_less_eq_set_val @ SV381 @ SV222 )
= $false )
| ( ( ord_less_eq_set_val @ SV222 @ SV381 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2638]) ).
thf(2777,plain,
! [SV222: set_val,SV381: set_val] :
( ( ( ~ ~ ( ~ ( ord_less_eq_set_val @ SV381 @ SV222 )
| ~ ( ord_less_eq_set_val @ SV222 @ SV381 ) ) )
= $false )
| ( ( ord_less_eq_set_val @ SV381 @ SV222 )
= $false )
| ( ( ord_less_eq_set_val @ SV222 @ SV381 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2638]) ).
thf(2778,plain,
! [SV397: set_val,SV321: set_val,SV382: set_val,SV223: set_val,SV99: $o] :
( ( SV99 = $false )
| ( ( ord_less_eq_set_val @ ( if_set_val @ SV99 @ SV223 @ SV382 ) @ ( if_set_val @ SV99 @ SV321 @ SV397 ) )
= $true )
| ( SV99 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[2639]) ).
thf(2779,plain,
! [SV398: set_val,SV322: set_val,SV383: set_val,SV224: set_val] :
( ( $true = $false )
| ( ( ord_less_eq_set_val @ ( if_set_val @ $true @ SV224 @ SV383 ) @ ( if_set_val @ $true @ SV322 @ SV398 ) )
= $true )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[2641]) ).
thf(2780,plain,
! [SV399: set_val,SV323: set_val,SV384: set_val,SV225: set_val] :
( ( $false = $false )
| ( ( ord_less_eq_set_val @ ( if_set_val @ $false @ SV225 @ SV384 ) @ ( if_set_val @ $false @ SV323 @ SV399 ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[2643]) ).
thf(2781,plain,
! [SV385: set_val,SV226: set_val,SV407: val] :
( ( ( member_val @ SV407 @ SV226 )
= $false )
| ( ( member_val @ SV407 @ SV385 )
= $true )
| ( ( ord_less_eq_set_val @ SV226 @ SV385 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2645]) ).
thf(2782,plain,
! [SV385: set_val,SV226: set_val] :
( ( ( ord_less_eq_set_val @ SV226 @ SV385 )
= $true )
| ( ( member_val @ ( sK18_SY1033 @ SV385 @ SV226 ) @ SV226 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2646]) ).
thf(2783,plain,
! [SV385: set_val,SV226: set_val] :
( ( ( ! [SY1033: val] :
( ~ ( member_val @ SY1033 @ SV226 )
| ( member_val @ SY1033 @ SV385 ) ) )
= $true )
| ( ( member_val @ ( sK18_SY1033 @ SV385 @ SV226 ) @ SV226 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2647]) ).
thf(2784,plain,
! [SV385: set_val,SV226: set_val,SV413: val] :
( ( ( ~ ( member_val @ SV413 @ SV226 )
| ( member_val @ SV413 @ SV385 ) )
= $true )
| ( ( member_val @ ( sK18_SY1033 @ SV385 @ SV226 ) @ SV385 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2649]) ).
thf(2785,plain,
! [SV227: set_val > set_val,SV101: set_val,SV386: set_val,SV325: set_val] :
( ( ( ord_less_eq_set_val @ ( sK39_SY854 @ SV325 @ SV386 @ SV101 @ SV227 ) @ ( sK61_SY1068 @ SV227 @ SV101 @ SV386 @ SV325 ) )
= $true )
| ( ( ord_less_eq_set_val @ SV101 @ ( SV227 @ SV386 ) )
= $true )
| ( ( ord_less_eq_set_val @ SV325 @ SV386 )
= $false )
| ( ( ord_less_eq_set_val @ SV101 @ ( SV227 @ SV325 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2650]) ).
thf(2786,plain,
! [SV232: set_val > set_val,SV414: set_val] :
( ( ( ! [SY1079: set_val] :
( ~ ( ord_less_eq_set_val @ SV414 @ SY1079 )
| ( ord_less_eq_set_val @ ( SV232 @ SY1079 ) @ ( SV232 @ SV414 ) ) ) )
= $true )
| ( ( ord_less_eq_set_val @ ( sK12_SY856 @ SV232 ) @ ( sK13_SY1047 @ SV232 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2654]) ).
thf(2787,plain,
! [SV232: set_val > set_val,SV415: set_val,SV411: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV411 @ SV415 )
| ( ord_less_eq_set_val @ ( SV232 @ SV415 ) @ ( SV232 @ SV411 ) ) )
= $true )
| ( ( ord_less_eq_set_val @ ( SV232 @ ( sK13_SY1047 @ SV232 ) ) @ ( SV232 @ ( sK12_SY856 @ SV232 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2655]) ).
thf(2788,plain,
! [SV234: set_val > val,SV108: val,SV387: set_val,SV326: set_val] :
( ( ( ord_less_eq_set_val @ ( sK40_SY860 @ SV326 @ SV387 @ SV108 @ SV234 ) @ ( sK62_SY1069 @ SV234 @ SV108 @ SV387 @ SV326 ) )
= $true )
| ( ( ord_less_eq_val @ SV108 @ ( SV234 @ SV387 ) )
= $true )
| ( ( ord_less_eq_set_val @ SV326 @ SV387 )
= $false )
| ( ( SV108
= ( SV234 @ SV326 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2656]) ).
thf(2789,plain,
! [SV327: set_val > val,SV109: set_val,SV388: val,SV235: set_val] :
( ( ( ord_less_eq_set_val @ ( sK41_SY976 @ SV235 @ SV388 @ SV109 @ SV327 ) @ ( sK63_SY1070 @ SV327 @ SV109 @ SV388 @ SV235 ) )
= $true )
| ( ( ord_less_eq_val @ ( SV327 @ SV109 ) @ SV388 )
= $true )
| ( ( ord_less_eq_val @ ( SV327 @ SV235 ) @ SV388 )
= $false )
| ( ( ord_less_eq_set_val @ SV109 @ SV235 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2658]) ).
thf(2790,plain,
! [SV328: set_set_val > set_val,SV110: set_set_val,SV389: set_val,SV236: set_set_val] :
( ( ( ord_le1742111550et_val @ ( sK42_SY979 @ SV236 @ SV389 @ SV110 @ SV328 ) @ ( sK64_SY1071 @ SV328 @ SV110 @ SV389 @ SV236 ) )
= $true )
| ( ( ord_less_eq_set_val @ ( SV328 @ SV110 ) @ SV389 )
= $true )
| ( ( ( SV328 @ SV236 )
= SV389 )
= $false )
| ( ( ord_le1742111550et_val @ SV110 @ SV236 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2660]) ).
thf(2791,plain,
! [SV241: set_val > set_val,SV113: set_val,SV393: set_val,SV333: set_val] :
( ( ( ord_less_eq_set_val @ ( sK43_SY879 @ SV333 @ SV393 @ SV113 @ SV241 ) @ ( sK65_SY1072 @ SV241 @ SV113 @ SV393 @ SV333 ) )
= $true )
| ( ( ord_less_eq_set_val @ SV113 @ ( SV241 @ SV393 ) )
= $true )
| ( ( ord_less_eq_set_val @ SV333 @ SV393 )
= $false )
| ( ( SV113
= ( SV241 @ SV333 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2665]) ).
thf(2792,plain,
! [SV334: set_val > $o,SV243: set_val,SV115: set_val > $o] :
( ( ( ~ ( SV115 @ ( sK67_SY988 @ SV243 @ SV334 @ SV115 ) ) )
= $false )
| ( ( SV334 @ ( order_1960465943et_val @ SV115 ) )
= $true )
| ( ( SV115 @ ( sK14_SY882 @ SV334 @ SV243 @ SV115 ) )
= $true )
| ( ( SV115 @ SV243 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2667]) ).
thf(2793,plain,
! [SV334: set_val > $o,SV243: set_val,SV115: set_val > $o] :
( ( ( ~ ! [SY1076: set_val] :
( ~ ( SV115 @ SY1076 )
| ( ord_less_eq_set_val @ SY1076 @ ( sK67_SY988 @ SV243 @ SV334 @ SV115 ) ) )
| ( SV334 @ ( sK67_SY988 @ SV243 @ SV334 @ SV115 ) ) )
= $false )
| ( ( SV334 @ ( order_1960465943et_val @ SV115 ) )
= $true )
| ( ( SV115 @ ( sK14_SY882 @ SV334 @ SV243 @ SV115 ) )
= $true )
| ( ( SV115 @ SV243 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2667]) ).
thf(2794,plain,
! [SV334: set_val > $o,SV243: set_val,SV115: set_val > $o] :
( ( ( SV115 @ ( sK66_SY988 @ SV243 @ SV334 @ SV115 ) )
= $true )
| ( ( SV334 @ ( order_1960465943et_val @ SV115 ) )
= $true )
| ( ( ord_less_eq_set_val @ ( sK14_SY882 @ SV334 @ SV243 @ SV115 ) @ SV243 )
= $false )
| ( ( SV115 @ SV243 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2668]) ).
thf(2795,plain,
! [SV334: set_val > $o,SV243: set_val,SV115: set_val > $o] :
( ( ( ~ ! [SY1074: set_val] :
( ~ ( SV115 @ SY1074 )
| ( ord_less_eq_set_val @ SY1074 @ ( sK66_SY988 @ SV243 @ SV334 @ SV115 ) ) ) )
= $false )
| ( ( SV334 @ ( order_1960465943et_val @ SV115 ) )
= $true )
| ( ( ord_less_eq_set_val @ ( sK14_SY882 @ SV334 @ SV243 @ SV115 ) @ SV243 )
= $false )
| ( ( SV115 @ SV243 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2669]) ).
thf(2796,plain,
! [SV115: set_val > $o,SV243: set_val,SV334: set_val > $o] :
( ( ( SV334 @ ( sK66_SY988 @ SV243 @ SV334 @ SV115 ) )
= $false )
| ( ( SV334 @ ( order_1960465943et_val @ SV115 ) )
= $true )
| ( ( ord_less_eq_set_val @ ( sK14_SY882 @ SV334 @ SV243 @ SV115 ) @ SV243 )
= $false )
| ( ( SV115 @ SV243 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2669]) ).
thf(2797,plain,
! [SV394: set_val,SV244: set_val] :
( ( ( ord_less_eq_set_val @ SV244 @ SV394 )
= $true )
| ( ( ord_less_set_val @ SV244 @ SV394 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2670]) ).
thf(2798,plain,
! [SV244: set_val,SV394: set_val] :
( ( ( SV394 != SV244 )
= $true )
| ( ( ord_less_set_val @ SV244 @ SV394 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2671]) ).
thf(2799,plain,
! [SV394: set_val,SV244: set_val] :
( ( ( ~ ( ord_less_set_val @ SV244 @ SV394 )
| ~ ~ ( ~ ( ord_less_eq_set_val @ SV244 @ SV394 )
| ~ ( ( SV394 != SV244 ) ) ) )
= $false )
| ( ( ord_less_eq_set_val @ SV244 @ SV394 )
= $false )
| ( ( SV394 = SV244 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2672]) ).
thf(2800,plain,
! [SV336: set_val,SV245: set_val,SV117: set_val] :
( ( ( ord_less_eq_set_val @ ( sup_sup_set_val @ SV117 @ SV245 ) @ SV336 )
= $true )
| ( ( ord_less_eq_set_val @ SV117 @ SV336 )
= $false )
| ( ( ord_less_eq_set_val @ SV245 @ SV336 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2675]) ).
thf(2801,plain,
! [SV245: set_val,SV336: set_val,SV117: set_val] :
( ( ( ~ ( ~ ( ord_less_eq_set_val @ SV117 @ SV336 )
| ~ ( ord_less_eq_set_val @ SV245 @ SV336 ) ) )
= $true )
| ( ( ord_less_eq_set_val @ SV117 @ SV336 )
= $false )
| ( ( ord_less_eq_set_val @ SV245 @ SV336 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2676]) ).
thf(2802,plain,
! [SV131: set_val > set_val,SV409: set_val,SV343: set_val > set_val,SV404: set_val] :
( ( ( ~ ( ( ord_less_eq_set_val @ SV404 @ ( SV343 @ SV409 ) )
| ( ord_less_eq_set_val @ ( SV131 @ SV404 ) @ SV409 ) ) )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_set_val @ SV404 @ ( SV343 @ SV409 ) )
| ~ ( ord_less_eq_set_val @ ( SV131 @ SV404 ) @ SV409 ) ) )
= $true )
| ( ( refine1929691018et_val @ SV131 @ SV343 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2681]) ).
thf(2803,plain,
! [SV343: set_val > set_val,SV131: set_val > set_val] :
( ( ( ~ ( refine1929691018et_val @ SV131 @ SV343 )
| ~ ! [SY992: set_val,SY993: set_val] :
( ( ord_less_eq_set_val @ SY992 @ ( SV343 @ SY993 ) )
= ( ord_less_eq_set_val @ ( SV131 @ SY992 ) @ SY993 ) ) )
= $false )
| ( ( ord_less_eq_set_val @ ( SV131 @ ( sK16_SY992 @ SV131 @ SV343 ) ) @ ( sK19_SY1048 @ SV343 @ SV131 ) )
= $true )
| ( ( ord_less_eq_set_val @ ( sK16_SY992 @ SV131 @ SV343 ) @ ( SV343 @ ( sK19_SY1048 @ SV343 @ SV131 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2683]) ).
thf(2804,plain,
! [SV343: set_val > set_val,SV131: set_val > set_val] :
( ( ( ord_less_eq_set_val @ ( sK16_SY992 @ SV131 @ SV343 ) @ ( SV343 @ ( sK19_SY1048 @ SV343 @ SV131 ) ) )
= $false )
| ( ( ~ ( ord_less_eq_set_val @ ( SV131 @ ( sK16_SY992 @ SV131 @ SV343 ) ) @ ( sK19_SY1048 @ SV343 @ SV131 ) ) )
= $true )
| ( ( ~ ( ~ ( refine1929691018et_val @ SV131 @ SV343 )
| ~ ! [SY992: set_val,SY993: set_val] :
( ( ord_less_eq_set_val @ SY992 @ ( SV343 @ SY993 ) )
= ( ord_less_eq_set_val @ ( SV131 @ SY992 ) @ SY993 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2684]) ).
thf(2805,plain,
! [SV131: set_val > set_val,SV343: set_val > set_val,SV416: set_val] :
( ( ( ! [SY1080: set_val] :
( ( ord_less_eq_set_val @ SV416 @ ( SV343 @ SY1080 ) )
= ( ord_less_eq_set_val @ ( SV131 @ SV416 ) @ SY1080 ) ) )
= $true )
| ( ( ( ord_less_eq_set_val @ ( sK16_SY992 @ SV131 @ SV343 ) @ ( SV343 @ ( sK19_SY1048 @ SV343 @ SV131 ) ) )
= ( ord_less_eq_set_val @ ( SV131 @ ( sK16_SY992 @ SV131 @ SV343 ) ) @ ( sK19_SY1048 @ SV343 @ SV131 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2686]) ).
thf(2806,plain,
! [SV17: $o] :
( ( ( ~ SV17 ) = $false )
| ( SV17 = $false )
| ( SV17 = $false )
| ( SV17 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2687]) ).
thf(2807,plain,
! [SV17: $o] :
( ( ( ~ $false ) = $false )
| ( SV17 = $false )
| ( SV17 = $false )
| ( SV17 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2687]) ).
thf(2808,plain,
! [SV17: $o] :
( ( ( ~ SV17 ) = $false )
| ( $false = $false )
| ( SV17 = $false )
| ( SV17 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2688]) ).
thf(2809,plain,
! [SV17: $o] :
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( SV17 = $false )
| ( SV17 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2688]) ).
thf(2810,plain,
! [SV17: $o] :
( ( ( ~ SV17 ) = $false )
| ( SV17 = $false )
| ( SV17 = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2689]) ).
thf(2811,plain,
! [SV17: $o] :
( ( ( ~ $false ) = $false )
| ( SV17 = $false )
| ( SV17 = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2689]) ).
thf(2812,plain,
! [SV17: $o] :
( ( ( ~ SV17 ) = $false )
| ( $false = $false )
| ( SV17 = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2690]) ).
thf(2813,plain,
! [SV17: $o] :
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( SV17 = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2690]) ).
thf(2814,plain,
! [SV17: $o] :
( ( ( ~ SV17 ) = $false )
| ( SV17 = $false )
| ( $true = $false )
| ( SV17 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2691]) ).
thf(2815,plain,
! [SV17: $o] :
( ( ( ~ $false ) = $false )
| ( SV17 = $false )
| ( $true = $false )
| ( SV17 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2691]) ).
thf(2816,plain,
! [SV17: $o] :
( ( ( ~ SV17 ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( SV17 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2692]) ).
thf(2817,plain,
! [SV17: $o] :
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( SV17 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2692]) ).
thf(2818,plain,
! [SV17: $o] :
( ( ( ~ SV17 ) = $false )
| ( SV17 = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2693]) ).
thf(2819,plain,
! [SV17: $o] :
( ( ( ~ $false ) = $false )
| ( SV17 = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2693]) ).
thf(2820,plain,
! [SV17: $o] :
( ( ( ~ SV17 ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2694]) ).
thf(2821,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2694]) ).
thf(2822,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2695]) ).
thf(2823,plain,
( ( ( ~ $false ) = $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2695]) ).
thf(2824,plain,
( ( ( ~ $true ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2696]) ).
thf(2825,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2696]) ).
thf(2826,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2697]) ).
thf(2827,plain,
( ( ( ~ $false ) = $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2697]) ).
thf(2828,plain,
( ( ( ~ $true ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2698]) ).
thf(2829,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2698]) ).
thf(2830,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2699]) ).
thf(2831,plain,
( ( ( ~ $false ) = $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2699]) ).
thf(2832,plain,
( ( ( ~ $true ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2700]) ).
thf(2833,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2700]) ).
thf(2834,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2701]) ).
thf(2835,plain,
( ( ( ~ $false ) = $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2701]) ).
thf(2836,plain,
( ( ( ~ $true ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2702]) ).
thf(2837,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2702]) ).
thf(2838,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2703]) ).
thf(2839,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2703]) ).
thf(2840,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2704]) ).
thf(2841,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2704]) ).
thf(2842,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2705]) ).
thf(2843,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2705]) ).
thf(2844,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2706]) ).
thf(2845,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2706]) ).
thf(2846,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2707]) ).
thf(2847,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2707]) ).
thf(2848,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2708]) ).
thf(2849,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2708]) ).
thf(2850,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2709]) ).
thf(2851,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2709]) ).
thf(2852,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2710]) ).
thf(2853,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[2710]) ).
thf(2854,plain,
! [SV266: set_val,SV144: set_val,SV19: set_val > set_val > set_val] :
( ( ( ! [SY1081: set_val] :
( ~ ( ord_less_eq_set_val @ ( sK69_SY1077 @ SV19 @ SV144 @ SV266 ) @ ( sK68_SY441 @ SV266 @ SV144 @ SV19 ) )
| ~ ( ord_less_eq_set_val @ SY1081 @ ( sK68_SY441 @ SV266 @ SV144 @ SV19 ) )
| ( ord_less_eq_set_val @ ( SV19 @ ( sK69_SY1077 @ SV19 @ SV144 @ SV266 ) @ SY1081 ) @ ( sK68_SY441 @ SV266 @ SV144 @ SV19 ) ) ) )
= $false )
| ( ( ( sup_sup_set_val @ SV144 @ SV266 )
= ( SV19 @ SV144 @ SV266 ) )
= $true )
| ( ( ord_less_eq_set_val @ ( sK21_SY1049 @ SV144 @ SV266 @ SV19 ) @ ( SV19 @ ( sK20_SY439 @ SV266 @ SV144 @ SV19 ) @ ( sK21_SY1049 @ SV144 @ SV266 @ SV19 ) ) )
= $false )
| ( ( ord_less_eq_set_val @ ( sK7_SY437 @ SV266 @ SV144 @ SV19 ) @ ( SV19 @ ( sK7_SY437 @ SV266 @ SV144 @ SV19 ) @ ( sK9_SY1046 @ SV19 @ SV144 @ SV266 ) ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2711]) ).
thf(2855,plain,
! [SV353: set_val,SV149: set_val] :
( ( ( SV149 = SV353 )
= $false )
| ( ( ord_less_set_val @ SV149 @ SV353 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2715]) ).
thf(2856,plain,
! [SV353: set_val,SV149: set_val] :
( ( ( ~ ( ord_less_set_val @ SV149 @ SV353 ) )
= $false )
| ( ( ord_less_eq_set_val @ SV149 @ SV353 )
= $false )
| ( ( SV149 = SV353 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2716]) ).
thf(2857,plain,
! [SV353: set_val,SV149: set_val] :
( ( ( ~ ~ ( ~ ( ord_less_eq_set_val @ SV149 @ SV353 )
| ~ ( ( SV149 != SV353 ) ) ) )
= $false )
| ( ( ord_less_eq_set_val @ SV149 @ SV353 )
= $false )
| ( ( SV149 = SV353 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2716]) ).
thf(2858,plain,
! [SV354: set_val,SV150: set_val] :
( ( ( SV150 = SV354 )
= $true )
| ( ( ord_less_eq_set_val @ SV150 @ SV354 )
= $false )
| ( ( ord_less_eq_set_val @ SV354 @ SV150 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2719]) ).
thf(2859,plain,
! [SV354: set_val,SV150: set_val] :
( ( ( ~ ( ~ ( ord_less_eq_set_val @ SV150 @ SV354 )
| ~ ( ord_less_eq_set_val @ SV354 @ SV150 ) ) )
= $true )
| ( ( ord_less_eq_set_val @ SV150 @ SV354 )
= $false )
| ( ( ord_less_eq_set_val @ SV354 @ SV150 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2720]) ).
thf(2860,plain,
! [SV152: set_val,SV356: set_val] :
( ( ( ord_less_eq_set_val @ SV356 @ SV152 )
= $false )
| ( ( ord_less_set_val @ SV152 @ SV356 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2723]) ).
thf(2861,plain,
! [SV356: set_val,SV152: set_val] :
( ( ( ~ ( ord_less_set_val @ SV152 @ SV356 ) )
= $false )
| ( ( ord_less_eq_set_val @ SV152 @ SV356 )
= $false )
| ( ( ord_less_eq_set_val @ SV356 @ SV152 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2724]) ).
thf(2862,plain,
! [SV356: set_val,SV152: set_val] :
( ( ( ~ ~ ( ~ ( ord_less_eq_set_val @ SV152 @ SV356 )
| ~ ~ ( ord_less_eq_set_val @ SV356 @ SV152 ) ) )
= $false )
| ( ( ord_less_eq_set_val @ SV152 @ SV356 )
= $false )
| ( ( ord_less_eq_set_val @ SV356 @ SV152 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2724]) ).
thf(2863,plain,
! [SV357: set_val,SV153: set_val] :
( ( ( SV153 = SV357 )
= $false )
| ( ( ord_less_set_val @ SV153 @ SV357 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2726]) ).
thf(2864,plain,
! [SV357: set_val,SV153: set_val] :
( ( ( ~ ( ord_less_set_val @ SV153 @ SV357 ) )
= $false )
| ( ( ord_less_eq_set_val @ SV153 @ SV357 )
= $false )
| ( ( SV153 = SV357 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2727]) ).
thf(2865,plain,
! [SV357: set_val,SV153: set_val] :
( ( ( ~ ~ ( ~ ( ord_less_eq_set_val @ SV153 @ SV357 )
| ~ ( ( SV153 != SV357 ) ) ) )
= $false )
| ( ( ord_less_eq_set_val @ SV153 @ SV357 )
= $false )
| ( ( SV153 = SV357 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2727]) ).
thf(2866,plain,
! [SV156: set_val,SV275: set_val,SV32: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV32 @ SV275 )
| ~ ( ord_less_eq_set_val @ SV156 @ SV275 ) )
= $false )
| ( ( ord_less_eq_set_val @ SV32 @ SV275 )
= $false )
| ( ( ord_less_eq_set_val @ SV156 @ SV275 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2729]) ).
thf(2867,plain,
! [SV159: set_val,SV277: set_val,SV35: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV35 @ SV277 )
| ~ ( ord_less_eq_set_val @ SV159 @ SV277 ) )
= $false )
| ( ( ord_less_eq_set_val @ SV35 @ SV277 )
= $false )
| ( ( ord_less_eq_set_val @ SV159 @ SV277 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2732]) ).
thf(2868,plain,
! [SV362: set_val,SV167: set_val] :
( ( ( SV167 = SV362 )
= $true )
| ( ( ord_less_eq_set_val @ SV167 @ SV362 )
= $false )
| ( ( ord_less_eq_set_val @ SV362 @ SV167 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2738]) ).
thf(2869,plain,
! [SV362: set_val,SV167: set_val] :
( ( ( ~ ( ~ ( ord_less_eq_set_val @ SV167 @ SV362 )
| ~ ( ord_less_eq_set_val @ SV362 @ SV167 ) ) )
= $true )
| ( ( ord_less_eq_set_val @ SV167 @ SV362 )
= $false )
| ( ( ord_less_eq_set_val @ SV362 @ SV167 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2739]) ).
thf(2870,plain,
! [SV168: val > $o,SV410: val,SV44: val > $o] :
( ( ( SV44 @ SV410 )
= $false )
| ( ( SV168 @ SV410 )
= $true )
| ( ( SV44 @ ( sK10_SY763 @ SV168 @ SV44 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2740]) ).
thf(2871,plain,
! [SV367: set_val,SV175: set_val,SV417: val] :
( ( ( ~ ( member_val @ SV417 @ SV175 )
| ( member_val @ SV417 @ SV367 ) )
= $true )
| ( ( member_val @ ( sK17_SY1014 @ SV367 @ SV175 ) @ SV175 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2747]) ).
thf(2872,plain,
! [SV367: set_val,SV175: set_val,SV412: val] :
( ( ( ~ ( member_val @ SV412 @ SV175 ) )
= $true )
| ( ( member_val @ SV412 @ SV367 )
= $true )
| ( ( member_val @ ( sK17_SY1014 @ SV367 @ SV175 ) @ SV367 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2748]) ).
thf(2873,plain,
! [SV370: set_val,SV183: set_val] :
( ( ( SV183 = SV370 )
= $true )
| ( ( ord_less_eq_set_val @ SV183 @ SV370 )
= $false )
| ( ( ord_less_eq_set_val @ SV370 @ SV183 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2752]) ).
thf(2874,plain,
! [SV370: set_val,SV183: set_val] :
( ( ( ~ ( ~ ( ord_less_eq_set_val @ SV183 @ SV370 )
| ~ ( ord_less_eq_set_val @ SV370 @ SV183 ) ) )
= $true )
| ( ( ord_less_eq_set_val @ SV183 @ SV370 )
= $false )
| ( ( ord_less_eq_set_val @ SV370 @ SV183 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2753]) ).
thf(2875,plain,
! [SV374: $o > set_val,SV194: $o > set_val] :
( ( ( ord_le994826475et_val @ SV194 @ SV374 )
= $true )
| ( ( ord_less_eq_set_val @ ( SV194 @ $false ) @ ( SV374 @ $false ) )
= $false )
| ( ( ord_less_eq_set_val @ ( SV194 @ $true ) @ ( SV374 @ $true ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2759]) ).
thf(2876,plain,
! [SV374: $o > set_val,SV194: $o > set_val] :
( ( ( ~ ( ~ ( ord_less_eq_set_val @ ( SV194 @ $false ) @ ( SV374 @ $false ) )
| ~ ( ord_less_eq_set_val @ ( SV194 @ $true ) @ ( SV374 @ $true ) ) ) )
= $true )
| ( ( ord_less_eq_set_val @ ( SV194 @ $false ) @ ( SV374 @ $false ) )
= $false )
| ( ( ord_less_eq_set_val @ ( SV194 @ $true ) @ ( SV374 @ $true ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2760]) ).
thf(2877,plain,
! [SV375: set_val,SV204: set_val,SV307: set_val,SV80: set_val] :
( ( ( SV80 = SV307 )
= $true )
| ( ( ~ ( ~ ~ ( ord_less_eq_set_val @ SV80 @ SV204 )
| ~ ~ ( ord_less_eq_set_val @ SV307 @ SV375 ) ) )
= $true )
| ( ( ( set_or1554624499et_val @ SV80 @ SV204 )
= ( set_or1554624499et_val @ SV307 @ SV375 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2761]) ).
thf(2878,plain,
! [SV307: set_val,SV80: set_val,SV375: set_val,SV204: set_val] :
( ( ( SV204 = SV375 )
= $true )
| ( ( ~ ( ~ ~ ( ord_less_eq_set_val @ SV80 @ SV204 )
| ~ ~ ( ord_less_eq_set_val @ SV307 @ SV375 ) ) )
= $true )
| ( ( ( set_or1554624499et_val @ SV80 @ SV204 )
= ( set_or1554624499et_val @ SV307 @ SV375 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2762]) ).
thf(2879,plain,
! [SV375: set_val,SV307: set_val,SV204: set_val,SV80: set_val] :
( ( ( ( set_or1554624499et_val @ SV80 @ SV204 )
!= ( set_or1554624499et_val @ SV307 @ SV375 ) )
= $false )
| ( ( SV80 = SV307 )
= $false )
| ( ( SV204 = SV375 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2763]) ).
thf(2880,plain,
! [SV375: set_val,SV204: set_val,SV307: set_val,SV80: set_val] :
( ( ( ~ ( ~ ( ( SV80 != SV307 )
| ( SV204 != SV375 ) )
| ~ ( ~ ~ ( ord_less_eq_set_val @ SV80 @ SV204 )
| ~ ~ ( ord_less_eq_set_val @ SV307 @ SV375 ) ) ) )
= $false )
| ( ( SV80 = SV307 )
= $false )
| ( ( SV204 = SV375 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2763]) ).
thf(2881,plain,
! [SV204: set_val,SV80: set_val,SV375: set_val,SV307: set_val] :
( ( ( ord_less_eq_set_val @ SV307 @ SV375 )
= $true )
| ( ( ord_less_eq_set_val @ SV80 @ SV204 )
= $true )
| ( ( ~ ( ( ( set_or1554624499et_val @ SV80 @ SV204 )
!= ( set_or1554624499et_val @ SV307 @ SV375 ) )
| ~ ( ~ ( ( SV80 != SV307 )
| ( SV204 != SV375 ) )
| ~ ( ~ ~ ( ord_less_eq_set_val @ SV80 @ SV204 )
| ~ ~ ( ord_less_eq_set_val @ SV307 @ SV375 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2764]) ).
thf(2882,plain,
! [SV376: set_val,SV206: set_val] :
( ( ( SV206 = SV376 )
= $false )
| ( ( ord_less_set_val @ SV206 @ SV376 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2766]) ).
thf(2883,plain,
! [SV376: set_val,SV206: set_val] :
( ( ( ~ ( ord_less_set_val @ SV206 @ SV376 ) )
= $false )
| ( ( ord_less_eq_set_val @ SV206 @ SV376 )
= $false )
| ( ( SV206 = SV376 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2767]) ).
thf(2884,plain,
! [SV376: set_val,SV206: set_val] :
( ( ( ~ ~ ( ~ ( ord_less_eq_set_val @ SV206 @ SV376 )
| ~ ( ( SV206 != SV376 ) ) ) )
= $false )
| ( ( ord_less_eq_set_val @ SV206 @ SV376 )
= $false )
| ( ( SV206 = SV376 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2767]) ).
thf(2885,plain,
! [SV211: set_val,SV378: set_val] :
( ( ( ord_less_eq_set_val @ SV378 @ SV211 )
= $false )
| ( ( ord_less_set_val @ SV211 @ SV378 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2770]) ).
thf(2886,plain,
! [SV378: set_val,SV211: set_val] :
( ( ( ~ ( ord_less_set_val @ SV211 @ SV378 ) )
= $false )
| ( ( ord_less_eq_set_val @ SV211 @ SV378 )
= $false )
| ( ( ord_less_eq_set_val @ SV378 @ SV211 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2771]) ).
thf(2887,plain,
! [SV378: set_val,SV211: set_val] :
( ( ( ~ ~ ( ~ ( ord_less_eq_set_val @ SV211 @ SV378 )
| ~ ~ ( ord_less_eq_set_val @ SV378 @ SV211 ) ) )
= $false )
| ( ( ord_less_eq_set_val @ SV211 @ SV378 )
= $false )
| ( ( ord_less_eq_set_val @ SV378 @ SV211 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2771]) ).
thf(2888,plain,
! [SV381: set_val,SV222: set_val] :
( ( ( SV222 = SV381 )
= $true )
| ( ( ord_less_eq_set_val @ SV381 @ SV222 )
= $false )
| ( ( ord_less_eq_set_val @ SV222 @ SV381 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2776]) ).
thf(2889,plain,
! [SV222: set_val,SV381: set_val] :
( ( ( ~ ( ~ ( ord_less_eq_set_val @ SV381 @ SV222 )
| ~ ( ord_less_eq_set_val @ SV222 @ SV381 ) ) )
= $true )
| ( ( ord_less_eq_set_val @ SV381 @ SV222 )
= $false )
| ( ( ord_less_eq_set_val @ SV222 @ SV381 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2777]) ).
thf(2890,plain,
! [SV385: set_val,SV226: set_val,SV418: val] :
( ( ( ~ ( member_val @ SV418 @ SV226 )
| ( member_val @ SV418 @ SV385 ) )
= $true )
| ( ( member_val @ ( sK18_SY1033 @ SV385 @ SV226 ) @ SV226 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2783]) ).
thf(2891,plain,
! [SV385: set_val,SV226: set_val,SV413: val] :
( ( ( ~ ( member_val @ SV413 @ SV226 ) )
= $true )
| ( ( member_val @ SV413 @ SV385 )
= $true )
| ( ( member_val @ ( sK18_SY1033 @ SV385 @ SV226 ) @ SV385 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2784]) ).
thf(2892,plain,
! [SV232: set_val > set_val,SV419: set_val,SV414: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV414 @ SV419 )
| ( ord_less_eq_set_val @ ( SV232 @ SV419 ) @ ( SV232 @ SV414 ) ) )
= $true )
| ( ( ord_less_eq_set_val @ ( sK12_SY856 @ SV232 ) @ ( sK13_SY1047 @ SV232 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2786]) ).
thf(2893,plain,
! [SV232: set_val > set_val,SV415: set_val,SV411: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV411 @ SV415 ) )
= $true )
| ( ( ord_less_eq_set_val @ ( SV232 @ SV415 ) @ ( SV232 @ SV411 ) )
= $true )
| ( ( ord_less_eq_set_val @ ( SV232 @ ( sK13_SY1047 @ SV232 ) ) @ ( SV232 @ ( sK12_SY856 @ SV232 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2787]) ).
thf(2894,plain,
! [SV334: set_val > $o,SV243: set_val,SV115: set_val > $o] :
( ( ( SV115 @ ( sK67_SY988 @ SV243 @ SV334 @ SV115 ) )
= $true )
| ( ( SV334 @ ( order_1960465943et_val @ SV115 ) )
= $true )
| ( ( SV115 @ ( sK14_SY882 @ SV334 @ SV243 @ SV115 ) )
= $true )
| ( ( SV115 @ SV243 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2792]) ).
thf(2895,plain,
! [SV334: set_val > $o,SV243: set_val,SV115: set_val > $o] :
( ( ( ~ ! [SY1076: set_val] :
( ~ ( SV115 @ SY1076 )
| ( ord_less_eq_set_val @ SY1076 @ ( sK67_SY988 @ SV243 @ SV334 @ SV115 ) ) ) )
= $false )
| ( ( SV334 @ ( order_1960465943et_val @ SV115 ) )
= $true )
| ( ( SV115 @ ( sK14_SY882 @ SV334 @ SV243 @ SV115 ) )
= $true )
| ( ( SV115 @ SV243 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2793]) ).
thf(2896,plain,
! [SV115: set_val > $o,SV243: set_val,SV334: set_val > $o] :
( ( ( SV334 @ ( sK67_SY988 @ SV243 @ SV334 @ SV115 ) )
= $false )
| ( ( SV334 @ ( order_1960465943et_val @ SV115 ) )
= $true )
| ( ( SV115 @ ( sK14_SY882 @ SV334 @ SV243 @ SV115 ) )
= $true )
| ( ( SV115 @ SV243 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2793]) ).
thf(2897,plain,
! [SV334: set_val > $o,SV243: set_val,SV115: set_val > $o] :
( ( ( ! [SY1074: set_val] :
( ~ ( SV115 @ SY1074 )
| ( ord_less_eq_set_val @ SY1074 @ ( sK66_SY988 @ SV243 @ SV334 @ SV115 ) ) ) )
= $true )
| ( ( SV334 @ ( order_1960465943et_val @ SV115 ) )
= $true )
| ( ( ord_less_eq_set_val @ ( sK14_SY882 @ SV334 @ SV243 @ SV115 ) @ SV243 )
= $false )
| ( ( SV115 @ SV243 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2795]) ).
thf(2898,plain,
! [SV244: set_val,SV394: set_val] :
( ( ( SV394 = SV244 )
= $false )
| ( ( ord_less_set_val @ SV244 @ SV394 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2798]) ).
thf(2899,plain,
! [SV394: set_val,SV244: set_val] :
( ( ( ~ ( ord_less_set_val @ SV244 @ SV394 ) )
= $false )
| ( ( ord_less_eq_set_val @ SV244 @ SV394 )
= $false )
| ( ( SV394 = SV244 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2799]) ).
thf(2900,plain,
! [SV394: set_val,SV244: set_val] :
( ( ( ~ ~ ( ~ ( ord_less_eq_set_val @ SV244 @ SV394 )
| ~ ( ( SV394 != SV244 ) ) ) )
= $false )
| ( ( ord_less_eq_set_val @ SV244 @ SV394 )
= $false )
| ( ( SV394 = SV244 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2799]) ).
thf(2901,plain,
! [SV245: set_val,SV336: set_val,SV117: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV117 @ SV336 )
| ~ ( ord_less_eq_set_val @ SV245 @ SV336 ) )
= $false )
| ( ( ord_less_eq_set_val @ SV117 @ SV336 )
= $false )
| ( ( ord_less_eq_set_val @ SV245 @ SV336 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2801]) ).
thf(2902,plain,
! [SV131: set_val > set_val,SV409: set_val,SV343: set_val > set_val,SV404: set_val] :
( ( ( ( ord_less_eq_set_val @ SV404 @ ( SV343 @ SV409 ) )
| ( ord_less_eq_set_val @ ( SV131 @ SV404 ) @ SV409 ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_val @ SV404 @ ( SV343 @ SV409 ) )
| ~ ( ord_less_eq_set_val @ ( SV131 @ SV404 ) @ SV409 ) ) )
= $true )
| ( ( refine1929691018et_val @ SV131 @ SV343 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2802]) ).
thf(2903,plain,
! [SV343: set_val > set_val,SV131: set_val > set_val] :
( ( ( ~ ( refine1929691018et_val @ SV131 @ SV343 ) )
= $false )
| ( ( ord_less_eq_set_val @ ( SV131 @ ( sK16_SY992 @ SV131 @ SV343 ) ) @ ( sK19_SY1048 @ SV343 @ SV131 ) )
= $true )
| ( ( ord_less_eq_set_val @ ( sK16_SY992 @ SV131 @ SV343 ) @ ( SV343 @ ( sK19_SY1048 @ SV343 @ SV131 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2803]) ).
thf(2904,plain,
! [SV131: set_val > set_val,SV343: set_val > set_val] :
( ( ( ~ ! [SY992: set_val,SY993: set_val] :
( ( ord_less_eq_set_val @ SY992 @ ( SV343 @ SY993 ) )
= ( ord_less_eq_set_val @ ( SV131 @ SY992 ) @ SY993 ) ) )
= $false )
| ( ( ord_less_eq_set_val @ ( SV131 @ ( sK16_SY992 @ SV131 @ SV343 ) ) @ ( sK19_SY1048 @ SV343 @ SV131 ) )
= $true )
| ( ( ord_less_eq_set_val @ ( sK16_SY992 @ SV131 @ SV343 ) @ ( SV343 @ ( sK19_SY1048 @ SV343 @ SV131 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2803]) ).
thf(2905,plain,
! [SV343: set_val > set_val,SV131: set_val > set_val] :
( ( ( ord_less_eq_set_val @ ( SV131 @ ( sK16_SY992 @ SV131 @ SV343 ) ) @ ( sK19_SY1048 @ SV343 @ SV131 ) )
= $false )
| ( ( ord_less_eq_set_val @ ( sK16_SY992 @ SV131 @ SV343 ) @ ( SV343 @ ( sK19_SY1048 @ SV343 @ SV131 ) ) )
= $false )
| ( ( ~ ( ~ ( refine1929691018et_val @ SV131 @ SV343 )
| ~ ! [SY992: set_val,SY993: set_val] :
( ( ord_less_eq_set_val @ SY992 @ ( SV343 @ SY993 ) )
= ( ord_less_eq_set_val @ ( SV131 @ SY992 ) @ SY993 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2804]) ).
thf(2906,plain,
! [SV131: set_val > set_val,SV420: set_val,SV343: set_val > set_val,SV416: set_val] :
( ( ( ( ord_less_eq_set_val @ SV416 @ ( SV343 @ SV420 ) )
= ( ord_less_eq_set_val @ ( SV131 @ SV416 ) @ SV420 ) )
= $true )
| ( ( ( ord_less_eq_set_val @ ( sK16_SY992 @ SV131 @ SV343 ) @ ( SV343 @ ( sK19_SY1048 @ SV343 @ SV131 ) ) )
= ( ord_less_eq_set_val @ ( SV131 @ ( sK16_SY992 @ SV131 @ SV343 ) ) @ ( sK19_SY1048 @ SV343 @ SV131 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2805]) ).
thf(2907,plain,
! [SV17: $o] :
( ( SV17 = $true )
| ( SV17 = $false )
| ( SV17 = $false )
| ( SV17 = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2806]) ).
thf(2908,plain,
! [SV17: $o] :
( ( $false = $true )
| ( SV17 = $false )
| ( SV17 = $false )
| ( SV17 = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2807]) ).
thf(2909,plain,
! [SV17: $o] :
( ( SV17 = $true )
| ( $false = $false )
| ( SV17 = $false )
| ( SV17 = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2808]) ).
thf(2910,plain,
! [SV17: $o] :
( ( $false = $true )
| ( $false = $false )
| ( SV17 = $false )
| ( SV17 = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2809]) ).
thf(2911,plain,
! [SV17: $o] :
( ( SV17 = $true )
| ( SV17 = $false )
| ( SV17 = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2810]) ).
thf(2912,plain,
! [SV17: $o] :
( ( $false = $true )
| ( SV17 = $false )
| ( SV17 = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2811]) ).
thf(2913,plain,
! [SV17: $o] :
( ( SV17 = $true )
| ( $false = $false )
| ( SV17 = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2812]) ).
thf(2914,plain,
! [SV17: $o] :
( ( $false = $true )
| ( $false = $false )
| ( SV17 = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2813]) ).
thf(2915,plain,
! [SV17: $o] :
( ( SV17 = $true )
| ( SV17 = $false )
| ( $true = $false )
| ( SV17 = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2814]) ).
thf(2916,plain,
! [SV17: $o] :
( ( $false = $true )
| ( SV17 = $false )
| ( $true = $false )
| ( SV17 = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2815]) ).
thf(2917,plain,
! [SV17: $o] :
( ( SV17 = $true )
| ( $false = $false )
| ( $true = $false )
| ( SV17 = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2816]) ).
thf(2918,plain,
! [SV17: $o] :
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( SV17 = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2817]) ).
thf(2919,plain,
! [SV17: $o] :
( ( SV17 = $true )
| ( SV17 = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2818]) ).
thf(2920,plain,
! [SV17: $o] :
( ( $false = $true )
| ( SV17 = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2819]) ).
thf(2921,plain,
! [SV17: $o] :
( ( SV17 = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2820]) ).
thf(2922,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2821]) ).
thf(2923,plain,
( ( $true = $true )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2822]) ).
thf(2924,plain,
( ( $false = $true )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2823]) ).
thf(2925,plain,
( ( $true = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2824]) ).
thf(2926,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2825]) ).
thf(2927,plain,
( ( $true = $true )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2826]) ).
thf(2928,plain,
( ( $false = $true )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2827]) ).
thf(2929,plain,
( ( $true = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2828]) ).
thf(2930,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2829]) ).
thf(2931,plain,
( ( $true = $true )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2830]) ).
thf(2932,plain,
( ( $false = $true )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2831]) ).
thf(2933,plain,
( ( $true = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2832]) ).
thf(2934,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2833]) ).
thf(2935,plain,
( ( $true = $true )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2834]) ).
thf(2936,plain,
( ( $false = $true )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2835]) ).
thf(2937,plain,
( ( $true = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2836]) ).
thf(2938,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2837]) ).
thf(2939,plain,
( ( $false = $true )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2838]) ).
thf(2940,plain,
( ( $false = $true )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2839]) ).
thf(2941,plain,
( ( $false = $true )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2840]) ).
thf(2942,plain,
( ( $false = $true )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2841]) ).
thf(2943,plain,
( ( $false = $true )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2842]) ).
thf(2944,plain,
( ( $false = $true )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2843]) ).
thf(2945,plain,
( ( $false = $true )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2844]) ).
thf(2946,plain,
( ( $false = $true )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2845]) ).
thf(2947,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2846]) ).
thf(2948,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2847]) ).
thf(2949,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2848]) ).
thf(2950,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2849]) ).
thf(2951,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2850]) ).
thf(2952,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2851]) ).
thf(2953,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2852]) ).
thf(2954,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[2853]) ).
thf(2955,plain,
! [SV266: set_val,SV144: set_val,SV19: set_val > set_val > set_val] :
( ( ( ~ ( ord_less_eq_set_val @ ( sK69_SY1077 @ SV19 @ SV144 @ SV266 ) @ ( sK68_SY441 @ SV266 @ SV144 @ SV19 ) )
| ~ ( ord_less_eq_set_val @ ( sK70_SY1081 @ SV266 @ SV144 @ SV19 ) @ ( sK68_SY441 @ SV266 @ SV144 @ SV19 ) )
| ( ord_less_eq_set_val @ ( SV19 @ ( sK69_SY1077 @ SV19 @ SV144 @ SV266 ) @ ( sK70_SY1081 @ SV266 @ SV144 @ SV19 ) ) @ ( sK68_SY441 @ SV266 @ SV144 @ SV19 ) ) )
= $false )
| ( ( ( sup_sup_set_val @ SV144 @ SV266 )
= ( SV19 @ SV144 @ SV266 ) )
= $true )
| ( ( ord_less_eq_set_val @ ( sK21_SY1049 @ SV144 @ SV266 @ SV19 ) @ ( SV19 @ ( sK20_SY439 @ SV266 @ SV144 @ SV19 ) @ ( sK21_SY1049 @ SV144 @ SV266 @ SV19 ) ) )
= $false )
| ( ( ord_less_eq_set_val @ ( sK7_SY437 @ SV266 @ SV144 @ SV19 ) @ ( SV19 @ ( sK7_SY437 @ SV266 @ SV144 @ SV19 ) @ ( sK9_SY1046 @ SV19 @ SV144 @ SV266 ) ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2854]) ).
thf(2956,plain,
! [SV353: set_val,SV149: set_val] :
( ( ( ord_less_set_val @ SV149 @ SV353 )
= $true )
| ( ( ord_less_eq_set_val @ SV149 @ SV353 )
= $false )
| ( ( SV149 = SV353 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2856]) ).
thf(2957,plain,
! [SV353: set_val,SV149: set_val] :
( ( ( ~ ( ~ ( ord_less_eq_set_val @ SV149 @ SV353 )
| ~ ( ( SV149 != SV353 ) ) ) )
= $true )
| ( ( ord_less_eq_set_val @ SV149 @ SV353 )
= $false )
| ( ( SV149 = SV353 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2857]) ).
thf(2958,plain,
! [SV354: set_val,SV150: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV150 @ SV354 )
| ~ ( ord_less_eq_set_val @ SV354 @ SV150 ) )
= $false )
| ( ( ord_less_eq_set_val @ SV150 @ SV354 )
= $false )
| ( ( ord_less_eq_set_val @ SV354 @ SV150 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2859]) ).
thf(2959,plain,
! [SV356: set_val,SV152: set_val] :
( ( ( ord_less_set_val @ SV152 @ SV356 )
= $true )
| ( ( ord_less_eq_set_val @ SV152 @ SV356 )
= $false )
| ( ( ord_less_eq_set_val @ SV356 @ SV152 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2861]) ).
thf(2960,plain,
! [SV356: set_val,SV152: set_val] :
( ( ( ~ ( ~ ( ord_less_eq_set_val @ SV152 @ SV356 )
| ~ ~ ( ord_less_eq_set_val @ SV356 @ SV152 ) ) )
= $true )
| ( ( ord_less_eq_set_val @ SV152 @ SV356 )
= $false )
| ( ( ord_less_eq_set_val @ SV356 @ SV152 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2862]) ).
thf(2961,plain,
! [SV357: set_val,SV153: set_val] :
( ( ( ord_less_set_val @ SV153 @ SV357 )
= $true )
| ( ( ord_less_eq_set_val @ SV153 @ SV357 )
= $false )
| ( ( SV153 = SV357 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2864]) ).
thf(2962,plain,
! [SV357: set_val,SV153: set_val] :
( ( ( ~ ( ~ ( ord_less_eq_set_val @ SV153 @ SV357 )
| ~ ( ( SV153 != SV357 ) ) ) )
= $true )
| ( ( ord_less_eq_set_val @ SV153 @ SV357 )
= $false )
| ( ( SV153 = SV357 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2865]) ).
thf(2963,plain,
! [SV156: set_val,SV275: set_val,SV32: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV32 @ SV275 ) )
= $false )
| ( ( ord_less_eq_set_val @ SV32 @ SV275 )
= $false )
| ( ( ord_less_eq_set_val @ SV156 @ SV275 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2866]) ).
thf(2964,plain,
! [SV32: set_val,SV275: set_val,SV156: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV156 @ SV275 ) )
= $false )
| ( ( ord_less_eq_set_val @ SV32 @ SV275 )
= $false )
| ( ( ord_less_eq_set_val @ SV156 @ SV275 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2866]) ).
thf(2965,plain,
! [SV159: set_val,SV277: set_val,SV35: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV35 @ SV277 ) )
= $false )
| ( ( ord_less_eq_set_val @ SV35 @ SV277 )
= $false )
| ( ( ord_less_eq_set_val @ SV159 @ SV277 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2867]) ).
thf(2966,plain,
! [SV35: set_val,SV277: set_val,SV159: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV159 @ SV277 ) )
= $false )
| ( ( ord_less_eq_set_val @ SV35 @ SV277 )
= $false )
| ( ( ord_less_eq_set_val @ SV159 @ SV277 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2867]) ).
thf(2967,plain,
! [SV362: set_val,SV167: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV167 @ SV362 )
| ~ ( ord_less_eq_set_val @ SV362 @ SV167 ) )
= $false )
| ( ( ord_less_eq_set_val @ SV167 @ SV362 )
= $false )
| ( ( ord_less_eq_set_val @ SV362 @ SV167 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2869]) ).
thf(2968,plain,
! [SV367: set_val,SV175: set_val,SV417: val] :
( ( ( ~ ( member_val @ SV417 @ SV175 ) )
= $true )
| ( ( member_val @ SV417 @ SV367 )
= $true )
| ( ( member_val @ ( sK17_SY1014 @ SV367 @ SV175 ) @ SV175 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2871]) ).
thf(2969,plain,
! [SV367: set_val,SV175: set_val,SV412: val] :
( ( ( member_val @ SV412 @ SV175 )
= $false )
| ( ( member_val @ SV412 @ SV367 )
= $true )
| ( ( member_val @ ( sK17_SY1014 @ SV367 @ SV175 ) @ SV367 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2872]) ).
thf(2970,plain,
! [SV370: set_val,SV183: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV183 @ SV370 )
| ~ ( ord_less_eq_set_val @ SV370 @ SV183 ) )
= $false )
| ( ( ord_less_eq_set_val @ SV183 @ SV370 )
= $false )
| ( ( ord_less_eq_set_val @ SV370 @ SV183 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2874]) ).
thf(2971,plain,
! [SV374: $o > set_val,SV194: $o > set_val] :
( ( ( ~ ( ord_less_eq_set_val @ ( SV194 @ $false ) @ ( SV374 @ $false ) )
| ~ ( ord_less_eq_set_val @ ( SV194 @ $true ) @ ( SV374 @ $true ) ) )
= $false )
| ( ( ord_less_eq_set_val @ ( SV194 @ $false ) @ ( SV374 @ $false ) )
= $false )
| ( ( ord_less_eq_set_val @ ( SV194 @ $true ) @ ( SV374 @ $true ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2876]) ).
thf(2972,plain,
! [SV375: set_val,SV307: set_val,SV204: set_val,SV80: set_val] :
( ( ( ~ ~ ( ord_less_eq_set_val @ SV80 @ SV204 )
| ~ ~ ( ord_less_eq_set_val @ SV307 @ SV375 ) )
= $false )
| ( ( SV80 = SV307 )
= $true )
| ( ( ( set_or1554624499et_val @ SV80 @ SV204 )
= ( set_or1554624499et_val @ SV307 @ SV375 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2877]) ).
thf(2973,plain,
! [SV375: set_val,SV307: set_val,SV204: set_val,SV80: set_val] :
( ( ( ~ ~ ( ord_less_eq_set_val @ SV80 @ SV204 )
| ~ ~ ( ord_less_eq_set_val @ SV307 @ SV375 ) )
= $false )
| ( ( SV204 = SV375 )
= $true )
| ( ( ( set_or1554624499et_val @ SV80 @ SV204 )
= ( set_or1554624499et_val @ SV307 @ SV375 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2878]) ).
thf(2974,plain,
! [SV375: set_val,SV307: set_val,SV204: set_val,SV80: set_val] :
( ( ( ( set_or1554624499et_val @ SV80 @ SV204 )
= ( set_or1554624499et_val @ SV307 @ SV375 ) )
= $true )
| ( ( SV80 = SV307 )
= $false )
| ( ( SV204 = SV375 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2879]) ).
thf(2975,plain,
! [SV375: set_val,SV204: set_val,SV307: set_val,SV80: set_val] :
( ( ( ~ ( ( SV80 != SV307 )
| ( SV204 != SV375 ) )
| ~ ( ~ ~ ( ord_less_eq_set_val @ SV80 @ SV204 )
| ~ ~ ( ord_less_eq_set_val @ SV307 @ SV375 ) ) )
= $true )
| ( ( SV80 = SV307 )
= $false )
| ( ( SV204 = SV375 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2880]) ).
thf(2976,plain,
! [SV375: set_val,SV307: set_val,SV204: set_val,SV80: set_val] :
( ( ( ( ( set_or1554624499et_val @ SV80 @ SV204 )
!= ( set_or1554624499et_val @ SV307 @ SV375 ) )
| ~ ( ~ ( ( SV80 != SV307 )
| ( SV204 != SV375 ) )
| ~ ( ~ ~ ( ord_less_eq_set_val @ SV80 @ SV204 )
| ~ ~ ( ord_less_eq_set_val @ SV307 @ SV375 ) ) ) )
= $false )
| ( ( ord_less_eq_set_val @ SV80 @ SV204 )
= $true )
| ( ( ord_less_eq_set_val @ SV307 @ SV375 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2881]) ).
thf(2977,plain,
! [SV376: set_val,SV206: set_val] :
( ( ( ord_less_set_val @ SV206 @ SV376 )
= $true )
| ( ( ord_less_eq_set_val @ SV206 @ SV376 )
= $false )
| ( ( SV206 = SV376 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2883]) ).
thf(2978,plain,
! [SV376: set_val,SV206: set_val] :
( ( ( ~ ( ~ ( ord_less_eq_set_val @ SV206 @ SV376 )
| ~ ( ( SV206 != SV376 ) ) ) )
= $true )
| ( ( ord_less_eq_set_val @ SV206 @ SV376 )
= $false )
| ( ( SV206 = SV376 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2884]) ).
thf(2979,plain,
! [SV378: set_val,SV211: set_val] :
( ( ( ord_less_set_val @ SV211 @ SV378 )
= $true )
| ( ( ord_less_eq_set_val @ SV211 @ SV378 )
= $false )
| ( ( ord_less_eq_set_val @ SV378 @ SV211 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2886]) ).
thf(2980,plain,
! [SV378: set_val,SV211: set_val] :
( ( ( ~ ( ~ ( ord_less_eq_set_val @ SV211 @ SV378 )
| ~ ~ ( ord_less_eq_set_val @ SV378 @ SV211 ) ) )
= $true )
| ( ( ord_less_eq_set_val @ SV211 @ SV378 )
= $false )
| ( ( ord_less_eq_set_val @ SV378 @ SV211 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2887]) ).
thf(2981,plain,
! [SV222: set_val,SV381: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV381 @ SV222 )
| ~ ( ord_less_eq_set_val @ SV222 @ SV381 ) )
= $false )
| ( ( ord_less_eq_set_val @ SV381 @ SV222 )
= $false )
| ( ( ord_less_eq_set_val @ SV222 @ SV381 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2889]) ).
thf(2982,plain,
! [SV385: set_val,SV226: set_val,SV418: val] :
( ( ( ~ ( member_val @ SV418 @ SV226 ) )
= $true )
| ( ( member_val @ SV418 @ SV385 )
= $true )
| ( ( member_val @ ( sK18_SY1033 @ SV385 @ SV226 ) @ SV226 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2890]) ).
thf(2983,plain,
! [SV385: set_val,SV226: set_val,SV413: val] :
( ( ( member_val @ SV413 @ SV226 )
= $false )
| ( ( member_val @ SV413 @ SV385 )
= $true )
| ( ( member_val @ ( sK18_SY1033 @ SV385 @ SV226 ) @ SV385 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2891]) ).
thf(2984,plain,
! [SV232: set_val > set_val,SV419: set_val,SV414: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV414 @ SV419 ) )
= $true )
| ( ( ord_less_eq_set_val @ ( SV232 @ SV419 ) @ ( SV232 @ SV414 ) )
= $true )
| ( ( ord_less_eq_set_val @ ( sK12_SY856 @ SV232 ) @ ( sK13_SY1047 @ SV232 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2892]) ).
thf(2985,plain,
! [SV232: set_val > set_val,SV415: set_val,SV411: set_val] :
( ( ( ord_less_eq_set_val @ SV411 @ SV415 )
= $false )
| ( ( ord_less_eq_set_val @ ( SV232 @ SV415 ) @ ( SV232 @ SV411 ) )
= $true )
| ( ( ord_less_eq_set_val @ ( SV232 @ ( sK13_SY1047 @ SV232 ) ) @ ( SV232 @ ( sK12_SY856 @ SV232 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2893]) ).
thf(2986,plain,
! [SV334: set_val > $o,SV243: set_val,SV115: set_val > $o] :
( ( ( ! [SY1076: set_val] :
( ~ ( SV115 @ SY1076 )
| ( ord_less_eq_set_val @ SY1076 @ ( sK67_SY988 @ SV243 @ SV334 @ SV115 ) ) ) )
= $true )
| ( ( SV334 @ ( order_1960465943et_val @ SV115 ) )
= $true )
| ( ( SV115 @ ( sK14_SY882 @ SV334 @ SV243 @ SV115 ) )
= $true )
| ( ( SV115 @ SV243 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2895]) ).
thf(2987,plain,
! [SV334: set_val > $o,SV243: set_val,SV421: set_val,SV115: set_val > $o] :
( ( ( ~ ( SV115 @ SV421 )
| ( ord_less_eq_set_val @ SV421 @ ( sK66_SY988 @ SV243 @ SV334 @ SV115 ) ) )
= $true )
| ( ( SV334 @ ( order_1960465943et_val @ SV115 ) )
= $true )
| ( ( ord_less_eq_set_val @ ( sK14_SY882 @ SV334 @ SV243 @ SV115 ) @ SV243 )
= $false )
| ( ( SV115 @ SV243 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2897]) ).
thf(2988,plain,
! [SV394: set_val,SV244: set_val] :
( ( ( ord_less_set_val @ SV244 @ SV394 )
= $true )
| ( ( ord_less_eq_set_val @ SV244 @ SV394 )
= $false )
| ( ( SV394 = SV244 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2899]) ).
thf(2989,plain,
! [SV394: set_val,SV244: set_val] :
( ( ( ~ ( ~ ( ord_less_eq_set_val @ SV244 @ SV394 )
| ~ ( ( SV394 != SV244 ) ) ) )
= $true )
| ( ( ord_less_eq_set_val @ SV244 @ SV394 )
= $false )
| ( ( SV394 = SV244 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2900]) ).
thf(2990,plain,
! [SV245: set_val,SV336: set_val,SV117: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV117 @ SV336 ) )
= $false )
| ( ( ord_less_eq_set_val @ SV117 @ SV336 )
= $false )
| ( ( ord_less_eq_set_val @ SV245 @ SV336 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2901]) ).
thf(2991,plain,
! [SV117: set_val,SV336: set_val,SV245: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV245 @ SV336 ) )
= $false )
| ( ( ord_less_eq_set_val @ SV117 @ SV336 )
= $false )
| ( ( ord_less_eq_set_val @ SV245 @ SV336 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2901]) ).
thf(2992,plain,
! [SV131: set_val > set_val,SV409: set_val,SV343: set_val > set_val,SV404: set_val] :
( ( ( ord_less_eq_set_val @ SV404 @ ( SV343 @ SV409 ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_val @ SV404 @ ( SV343 @ SV409 ) )
| ~ ( ord_less_eq_set_val @ ( SV131 @ SV404 ) @ SV409 ) ) )
= $true )
| ( ( refine1929691018et_val @ SV131 @ SV343 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2902]) ).
thf(2993,plain,
! [SV343: set_val > set_val,SV409: set_val,SV404: set_val,SV131: set_val > set_val] :
( ( ( ord_less_eq_set_val @ ( SV131 @ SV404 ) @ SV409 )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_val @ SV404 @ ( SV343 @ SV409 ) )
| ~ ( ord_less_eq_set_val @ ( SV131 @ SV404 ) @ SV409 ) ) )
= $true )
| ( ( refine1929691018et_val @ SV131 @ SV343 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2902]) ).
thf(2994,plain,
! [SV343: set_val > set_val,SV131: set_val > set_val] :
( ( ( refine1929691018et_val @ SV131 @ SV343 )
= $true )
| ( ( ord_less_eq_set_val @ ( SV131 @ ( sK16_SY992 @ SV131 @ SV343 ) ) @ ( sK19_SY1048 @ SV343 @ SV131 ) )
= $true )
| ( ( ord_less_eq_set_val @ ( sK16_SY992 @ SV131 @ SV343 ) @ ( SV343 @ ( sK19_SY1048 @ SV343 @ SV131 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2903]) ).
thf(2995,plain,
! [SV131: set_val > set_val,SV343: set_val > set_val] :
( ( ( ! [SY992: set_val,SY993: set_val] :
( ( ord_less_eq_set_val @ SY992 @ ( SV343 @ SY993 ) )
= ( ord_less_eq_set_val @ ( SV131 @ SY992 ) @ SY993 ) ) )
= $true )
| ( ( ord_less_eq_set_val @ ( SV131 @ ( sK16_SY992 @ SV131 @ SV343 ) ) @ ( sK19_SY1048 @ SV343 @ SV131 ) )
= $true )
| ( ( ord_less_eq_set_val @ ( sK16_SY992 @ SV131 @ SV343 ) @ ( SV343 @ ( sK19_SY1048 @ SV343 @ SV131 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2904]) ).
thf(2996,plain,
! [SV343: set_val > set_val,SV131: set_val > set_val] :
( ( ( ~ ( refine1929691018et_val @ SV131 @ SV343 )
| ~ ! [SY992: set_val,SY993: set_val] :
( ( ord_less_eq_set_val @ SY992 @ ( SV343 @ SY993 ) )
= ( ord_less_eq_set_val @ ( SV131 @ SY992 ) @ SY993 ) ) )
= $false )
| ( ( ord_less_eq_set_val @ ( sK16_SY992 @ SV131 @ SV343 ) @ ( SV343 @ ( sK19_SY1048 @ SV343 @ SV131 ) ) )
= $false )
| ( ( ord_less_eq_set_val @ ( SV131 @ ( sK16_SY992 @ SV131 @ SV343 ) ) @ ( sK19_SY1048 @ SV343 @ SV131 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2905]) ).
thf(2997,plain,
! [SV131: set_val > set_val,SV420: set_val,SV343: set_val > set_val,SV416: set_val] :
( ( ( ~ ( ( ord_less_eq_set_val @ SV416 @ ( SV343 @ SV420 ) )
| ( ord_less_eq_set_val @ ( SV131 @ SV416 ) @ SV420 ) )
| ~ ( ~ ( ord_less_eq_set_val @ SV416 @ ( SV343 @ SV420 ) )
| ~ ( ord_less_eq_set_val @ ( SV131 @ SV416 ) @ SV420 ) ) )
= $true )
| ( ( ( ord_less_eq_set_val @ ( sK16_SY992 @ SV131 @ SV343 ) @ ( SV343 @ ( sK19_SY1048 @ SV343 @ SV131 ) ) )
= ( ord_less_eq_set_val @ ( SV131 @ ( sK16_SY992 @ SV131 @ SV343 ) ) @ ( sK19_SY1048 @ SV343 @ SV131 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[2906]) ).
thf(2998,plain,
! [SV131: set_val > set_val,SV420: set_val,SV343: set_val > set_val,SV416: set_val] :
( ( ( ( ord_less_eq_set_val @ SV416 @ ( SV343 @ SV420 ) )
= ( ord_less_eq_set_val @ ( SV131 @ SV416 ) @ SV420 ) )
= $true )
| ( ( ( ord_less_eq_set_val @ ( sK16_SY992 @ SV131 @ SV343 ) @ ( SV343 @ ( sK19_SY1048 @ SV343 @ SV131 ) ) )
= ( ord_less_eq_set_val @ ( SV131 @ ( sK16_SY992 @ SV131 @ SV343 ) ) @ ( sK19_SY1048 @ SV343 @ SV131 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[2906]) ).
thf(2999,plain,
! [SV266: set_val,SV144: set_val,SV19: set_val > set_val > set_val] :
( ( ( ~ ( ord_less_eq_set_val @ ( sK69_SY1077 @ SV19 @ SV144 @ SV266 ) @ ( sK68_SY441 @ SV266 @ SV144 @ SV19 ) ) )
= $false )
| ( ( ( sup_sup_set_val @ SV144 @ SV266 )
= ( SV19 @ SV144 @ SV266 ) )
= $true )
| ( ( ord_less_eq_set_val @ ( sK21_SY1049 @ SV144 @ SV266 @ SV19 ) @ ( SV19 @ ( sK20_SY439 @ SV266 @ SV144 @ SV19 ) @ ( sK21_SY1049 @ SV144 @ SV266 @ SV19 ) ) )
= $false )
| ( ( ord_less_eq_set_val @ ( sK7_SY437 @ SV266 @ SV144 @ SV19 ) @ ( SV19 @ ( sK7_SY437 @ SV266 @ SV144 @ SV19 ) @ ( sK9_SY1046 @ SV19 @ SV144 @ SV266 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2955]) ).
thf(3000,plain,
! [SV19: set_val > set_val > set_val,SV144: set_val,SV266: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ ( sK70_SY1081 @ SV266 @ SV144 @ SV19 ) @ ( sK68_SY441 @ SV266 @ SV144 @ SV19 ) )
| ( ord_less_eq_set_val @ ( SV19 @ ( sK69_SY1077 @ SV19 @ SV144 @ SV266 ) @ ( sK70_SY1081 @ SV266 @ SV144 @ SV19 ) ) @ ( sK68_SY441 @ SV266 @ SV144 @ SV19 ) ) )
= $false )
| ( ( ( sup_sup_set_val @ SV144 @ SV266 )
= ( SV19 @ SV144 @ SV266 ) )
= $true )
| ( ( ord_less_eq_set_val @ ( sK21_SY1049 @ SV144 @ SV266 @ SV19 ) @ ( SV19 @ ( sK20_SY439 @ SV266 @ SV144 @ SV19 ) @ ( sK21_SY1049 @ SV144 @ SV266 @ SV19 ) ) )
= $false )
| ( ( ord_less_eq_set_val @ ( sK7_SY437 @ SV266 @ SV144 @ SV19 ) @ ( SV19 @ ( sK7_SY437 @ SV266 @ SV144 @ SV19 ) @ ( sK9_SY1046 @ SV19 @ SV144 @ SV266 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2955]) ).
thf(3001,plain,
! [SV353: set_val,SV149: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV149 @ SV353 )
| ~ ( ( SV149 != SV353 ) ) )
= $false )
| ( ( ord_less_eq_set_val @ SV149 @ SV353 )
= $false )
| ( ( SV149 = SV353 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2957]) ).
thf(3002,plain,
! [SV354: set_val,SV150: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV150 @ SV354 ) )
= $false )
| ( ( ord_less_eq_set_val @ SV150 @ SV354 )
= $false )
| ( ( ord_less_eq_set_val @ SV354 @ SV150 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2958]) ).
thf(3003,plain,
! [SV150: set_val,SV354: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV354 @ SV150 ) )
= $false )
| ( ( ord_less_eq_set_val @ SV150 @ SV354 )
= $false )
| ( ( ord_less_eq_set_val @ SV354 @ SV150 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2958]) ).
thf(3004,plain,
! [SV356: set_val,SV152: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV152 @ SV356 )
| ~ ~ ( ord_less_eq_set_val @ SV356 @ SV152 ) )
= $false )
| ( ( ord_less_eq_set_val @ SV152 @ SV356 )
= $false )
| ( ( ord_less_eq_set_val @ SV356 @ SV152 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2960]) ).
thf(3005,plain,
! [SV357: set_val,SV153: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV153 @ SV357 )
| ~ ( ( SV153 != SV357 ) ) )
= $false )
| ( ( ord_less_eq_set_val @ SV153 @ SV357 )
= $false )
| ( ( SV153 = SV357 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2962]) ).
thf(3006,plain,
! [SV156: set_val,SV275: set_val,SV32: set_val] :
( ( ( ord_less_eq_set_val @ SV32 @ SV275 )
= $true )
| ( ( ord_less_eq_set_val @ SV32 @ SV275 )
= $false )
| ( ( ord_less_eq_set_val @ SV156 @ SV275 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2963]) ).
thf(3007,plain,
! [SV32: set_val,SV275: set_val,SV156: set_val] :
( ( ( ord_less_eq_set_val @ SV156 @ SV275 )
= $true )
| ( ( ord_less_eq_set_val @ SV32 @ SV275 )
= $false )
| ( ( ord_less_eq_set_val @ SV156 @ SV275 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2964]) ).
thf(3008,plain,
! [SV159: set_val,SV277: set_val,SV35: set_val] :
( ( ( ord_less_eq_set_val @ SV35 @ SV277 )
= $true )
| ( ( ord_less_eq_set_val @ SV35 @ SV277 )
= $false )
| ( ( ord_less_eq_set_val @ SV159 @ SV277 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2965]) ).
thf(3009,plain,
! [SV35: set_val,SV277: set_val,SV159: set_val] :
( ( ( ord_less_eq_set_val @ SV159 @ SV277 )
= $true )
| ( ( ord_less_eq_set_val @ SV35 @ SV277 )
= $false )
| ( ( ord_less_eq_set_val @ SV159 @ SV277 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2966]) ).
thf(3010,plain,
! [SV362: set_val,SV167: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV167 @ SV362 ) )
= $false )
| ( ( ord_less_eq_set_val @ SV167 @ SV362 )
= $false )
| ( ( ord_less_eq_set_val @ SV362 @ SV167 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2967]) ).
thf(3011,plain,
! [SV167: set_val,SV362: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV362 @ SV167 ) )
= $false )
| ( ( ord_less_eq_set_val @ SV167 @ SV362 )
= $false )
| ( ( ord_less_eq_set_val @ SV362 @ SV167 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2967]) ).
thf(3012,plain,
! [SV367: set_val,SV175: set_val,SV417: val] :
( ( ( member_val @ SV417 @ SV175 )
= $false )
| ( ( member_val @ SV417 @ SV367 )
= $true )
| ( ( member_val @ ( sK17_SY1014 @ SV367 @ SV175 ) @ SV175 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2968]) ).
thf(3013,plain,
! [SV370: set_val,SV183: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV183 @ SV370 ) )
= $false )
| ( ( ord_less_eq_set_val @ SV183 @ SV370 )
= $false )
| ( ( ord_less_eq_set_val @ SV370 @ SV183 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2970]) ).
thf(3014,plain,
! [SV183: set_val,SV370: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV370 @ SV183 ) )
= $false )
| ( ( ord_less_eq_set_val @ SV183 @ SV370 )
= $false )
| ( ( ord_less_eq_set_val @ SV370 @ SV183 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2970]) ).
thf(3015,plain,
! [SV374: $o > set_val,SV194: $o > set_val] :
( ( ( ~ ( ord_less_eq_set_val @ ( SV194 @ $false ) @ ( SV374 @ $false ) ) )
= $false )
| ( ( ord_less_eq_set_val @ ( SV194 @ $false ) @ ( SV374 @ $false ) )
= $false )
| ( ( ord_less_eq_set_val @ ( SV194 @ $true ) @ ( SV374 @ $true ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2971]) ).
thf(3016,plain,
! [SV374: $o > set_val,SV194: $o > set_val] :
( ( ( ~ ( ord_less_eq_set_val @ ( SV194 @ $true ) @ ( SV374 @ $true ) ) )
= $false )
| ( ( ord_less_eq_set_val @ ( SV194 @ $false ) @ ( SV374 @ $false ) )
= $false )
| ( ( ord_less_eq_set_val @ ( SV194 @ $true ) @ ( SV374 @ $true ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2971]) ).
thf(3017,plain,
! [SV375: set_val,SV307: set_val,SV204: set_val,SV80: set_val] :
( ( ( ~ ~ ( ord_less_eq_set_val @ SV80 @ SV204 ) )
= $false )
| ( ( SV80 = SV307 )
= $true )
| ( ( ( set_or1554624499et_val @ SV80 @ SV204 )
= ( set_or1554624499et_val @ SV307 @ SV375 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2972]) ).
thf(3018,plain,
! [SV204: set_val,SV80: set_val,SV375: set_val,SV307: set_val] :
( ( ( ~ ~ ( ord_less_eq_set_val @ SV307 @ SV375 ) )
= $false )
| ( ( SV80 = SV307 )
= $true )
| ( ( ( set_or1554624499et_val @ SV80 @ SV204 )
= ( set_or1554624499et_val @ SV307 @ SV375 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2972]) ).
thf(3019,plain,
! [SV307: set_val,SV375: set_val,SV204: set_val,SV80: set_val] :
( ( ( ~ ~ ( ord_less_eq_set_val @ SV80 @ SV204 ) )
= $false )
| ( ( SV204 = SV375 )
= $true )
| ( ( ( set_or1554624499et_val @ SV80 @ SV204 )
= ( set_or1554624499et_val @ SV307 @ SV375 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2973]) ).
thf(3020,plain,
! [SV80: set_val,SV204: set_val,SV375: set_val,SV307: set_val] :
( ( ( ~ ~ ( ord_less_eq_set_val @ SV307 @ SV375 ) )
= $false )
| ( ( SV204 = SV375 )
= $true )
| ( ( ( set_or1554624499et_val @ SV80 @ SV204 )
= ( set_or1554624499et_val @ SV307 @ SV375 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2973]) ).
thf(3021,plain,
! [SV375: set_val,SV204: set_val,SV307: set_val,SV80: set_val] :
( ( ( ~ ( ( SV80 != SV307 )
| ( SV204 != SV375 ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ord_less_eq_set_val @ SV80 @ SV204 )
| ~ ~ ( ord_less_eq_set_val @ SV307 @ SV375 ) ) )
= $true )
| ( ( SV80 = SV307 )
= $false )
| ( ( SV204 = SV375 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2975]) ).
thf(3022,plain,
! [SV375: set_val,SV307: set_val,SV204: set_val,SV80: set_val] :
( ( ( ( set_or1554624499et_val @ SV80 @ SV204 )
!= ( set_or1554624499et_val @ SV307 @ SV375 ) )
= $false )
| ( ( ord_less_eq_set_val @ SV80 @ SV204 )
= $true )
| ( ( ord_less_eq_set_val @ SV307 @ SV375 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2976]) ).
thf(3023,plain,
! [SV375: set_val,SV204: set_val,SV307: set_val,SV80: set_val] :
( ( ( ~ ( ~ ( ( SV80 != SV307 )
| ( SV204 != SV375 ) )
| ~ ( ~ ~ ( ord_less_eq_set_val @ SV80 @ SV204 )
| ~ ~ ( ord_less_eq_set_val @ SV307 @ SV375 ) ) ) )
= $false )
| ( ( ord_less_eq_set_val @ SV80 @ SV204 )
= $true )
| ( ( ord_less_eq_set_val @ SV307 @ SV375 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2976]) ).
thf(3024,plain,
! [SV376: set_val,SV206: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV206 @ SV376 )
| ~ ( ( SV206 != SV376 ) ) )
= $false )
| ( ( ord_less_eq_set_val @ SV206 @ SV376 )
= $false )
| ( ( SV206 = SV376 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2978]) ).
thf(3025,plain,
! [SV378: set_val,SV211: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV211 @ SV378 )
| ~ ~ ( ord_less_eq_set_val @ SV378 @ SV211 ) )
= $false )
| ( ( ord_less_eq_set_val @ SV211 @ SV378 )
= $false )
| ( ( ord_less_eq_set_val @ SV378 @ SV211 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2980]) ).
thf(3026,plain,
! [SV222: set_val,SV381: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV381 @ SV222 ) )
= $false )
| ( ( ord_less_eq_set_val @ SV381 @ SV222 )
= $false )
| ( ( ord_less_eq_set_val @ SV222 @ SV381 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2981]) ).
thf(3027,plain,
! [SV381: set_val,SV222: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV222 @ SV381 ) )
= $false )
| ( ( ord_less_eq_set_val @ SV381 @ SV222 )
= $false )
| ( ( ord_less_eq_set_val @ SV222 @ SV381 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2981]) ).
thf(3028,plain,
! [SV385: set_val,SV226: set_val,SV418: val] :
( ( ( member_val @ SV418 @ SV226 )
= $false )
| ( ( member_val @ SV418 @ SV385 )
= $true )
| ( ( member_val @ ( sK18_SY1033 @ SV385 @ SV226 ) @ SV226 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2982]) ).
thf(3029,plain,
! [SV232: set_val > set_val,SV419: set_val,SV414: set_val] :
( ( ( ord_less_eq_set_val @ SV414 @ SV419 )
= $false )
| ( ( ord_less_eq_set_val @ ( SV232 @ SV419 ) @ ( SV232 @ SV414 ) )
= $true )
| ( ( ord_less_eq_set_val @ ( sK12_SY856 @ SV232 ) @ ( sK13_SY1047 @ SV232 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2984]) ).
thf(3030,plain,
! [SV334: set_val > $o,SV243: set_val,SV422: set_val,SV115: set_val > $o] :
( ( ( ~ ( SV115 @ SV422 )
| ( ord_less_eq_set_val @ SV422 @ ( sK67_SY988 @ SV243 @ SV334 @ SV115 ) ) )
= $true )
| ( ( SV334 @ ( order_1960465943et_val @ SV115 ) )
= $true )
| ( ( SV115 @ ( sK14_SY882 @ SV334 @ SV243 @ SV115 ) )
= $true )
| ( ( SV115 @ SV243 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2986]) ).
thf(3031,plain,
! [SV334: set_val > $o,SV243: set_val,SV421: set_val,SV115: set_val > $o] :
( ( ( ~ ( SV115 @ SV421 ) )
= $true )
| ( ( ord_less_eq_set_val @ SV421 @ ( sK66_SY988 @ SV243 @ SV334 @ SV115 ) )
= $true )
| ( ( SV334 @ ( order_1960465943et_val @ SV115 ) )
= $true )
| ( ( ord_less_eq_set_val @ ( sK14_SY882 @ SV334 @ SV243 @ SV115 ) @ SV243 )
= $false )
| ( ( SV115 @ SV243 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2987]) ).
thf(3032,plain,
! [SV394: set_val,SV244: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV244 @ SV394 )
| ~ ( ( SV394 != SV244 ) ) )
= $false )
| ( ( ord_less_eq_set_val @ SV244 @ SV394 )
= $false )
| ( ( SV394 = SV244 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2989]) ).
thf(3033,plain,
! [SV245: set_val,SV336: set_val,SV117: set_val] :
( ( ( ord_less_eq_set_val @ SV117 @ SV336 )
= $true )
| ( ( ord_less_eq_set_val @ SV117 @ SV336 )
= $false )
| ( ( ord_less_eq_set_val @ SV245 @ SV336 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2990]) ).
thf(3034,plain,
! [SV117: set_val,SV336: set_val,SV245: set_val] :
( ( ( ord_less_eq_set_val @ SV245 @ SV336 )
= $true )
| ( ( ord_less_eq_set_val @ SV117 @ SV336 )
= $false )
| ( ( ord_less_eq_set_val @ SV245 @ SV336 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2991]) ).
thf(3035,plain,
! [SV131: set_val > set_val,SV409: set_val,SV343: set_val > set_val,SV404: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV404 @ ( SV343 @ SV409 ) )
| ~ ( ord_less_eq_set_val @ ( SV131 @ SV404 ) @ SV409 ) )
= $false )
| ( ( ord_less_eq_set_val @ SV404 @ ( SV343 @ SV409 ) )
= $false )
| ( ( refine1929691018et_val @ SV131 @ SV343 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2992]) ).
thf(3036,plain,
! [SV131: set_val > set_val,SV409: set_val,SV343: set_val > set_val,SV404: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV404 @ ( SV343 @ SV409 ) )
| ~ ( ord_less_eq_set_val @ ( SV131 @ SV404 ) @ SV409 ) )
= $false )
| ( ( ord_less_eq_set_val @ ( SV131 @ SV404 ) @ SV409 )
= $false )
| ( ( refine1929691018et_val @ SV131 @ SV343 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2993]) ).
thf(3037,plain,
! [SV131: set_val > set_val,SV343: set_val > set_val,SV423: set_val] :
( ( ( ! [SY1082: set_val] :
( ( ord_less_eq_set_val @ SV423 @ ( SV343 @ SY1082 ) )
= ( ord_less_eq_set_val @ ( SV131 @ SV423 ) @ SY1082 ) ) )
= $true )
| ( ( ord_less_eq_set_val @ ( SV131 @ ( sK16_SY992 @ SV131 @ SV343 ) ) @ ( sK19_SY1048 @ SV343 @ SV131 ) )
= $true )
| ( ( ord_less_eq_set_val @ ( sK16_SY992 @ SV131 @ SV343 ) @ ( SV343 @ ( sK19_SY1048 @ SV343 @ SV131 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2995]) ).
thf(3038,plain,
! [SV343: set_val > set_val,SV131: set_val > set_val] :
( ( ( ~ ( refine1929691018et_val @ SV131 @ SV343 ) )
= $false )
| ( ( ord_less_eq_set_val @ ( sK16_SY992 @ SV131 @ SV343 ) @ ( SV343 @ ( sK19_SY1048 @ SV343 @ SV131 ) ) )
= $false )
| ( ( ord_less_eq_set_val @ ( SV131 @ ( sK16_SY992 @ SV131 @ SV343 ) ) @ ( sK19_SY1048 @ SV343 @ SV131 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2996]) ).
thf(3039,plain,
! [SV131: set_val > set_val,SV343: set_val > set_val] :
( ( ( ~ ! [SY992: set_val,SY993: set_val] :
( ( ord_less_eq_set_val @ SY992 @ ( SV343 @ SY993 ) )
= ( ord_less_eq_set_val @ ( SV131 @ SY992 ) @ SY993 ) ) )
= $false )
| ( ( ord_less_eq_set_val @ ( sK16_SY992 @ SV131 @ SV343 ) @ ( SV343 @ ( sK19_SY1048 @ SV343 @ SV131 ) ) )
= $false )
| ( ( ord_less_eq_set_val @ ( SV131 @ ( sK16_SY992 @ SV131 @ SV343 ) ) @ ( sK19_SY1048 @ SV343 @ SV131 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2996]) ).
thf(3040,plain,
! [SV131: set_val > set_val,SV420: set_val,SV343: set_val > set_val,SV416: set_val] :
( ( ( ~ ( ( ord_less_eq_set_val @ SV416 @ ( SV343 @ SV420 ) )
| ( ord_less_eq_set_val @ ( SV131 @ SV416 ) @ SV420 ) ) )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_set_val @ SV416 @ ( SV343 @ SV420 ) )
| ~ ( ord_less_eq_set_val @ ( SV131 @ SV416 ) @ SV420 ) ) )
= $true )
| ( ( ( ord_less_eq_set_val @ ( sK16_SY992 @ SV131 @ SV343 ) @ ( SV343 @ ( sK19_SY1048 @ SV343 @ SV131 ) ) )
= ( ord_less_eq_set_val @ ( SV131 @ ( sK16_SY992 @ SV131 @ SV343 ) ) @ ( sK19_SY1048 @ SV343 @ SV131 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2997]) ).
thf(3041,plain,
! [SV266: set_val,SV144: set_val,SV19: set_val > set_val > set_val] :
( ( ( ord_less_eq_set_val @ ( sK69_SY1077 @ SV19 @ SV144 @ SV266 ) @ ( sK68_SY441 @ SV266 @ SV144 @ SV19 ) )
= $true )
| ( ( ( sup_sup_set_val @ SV144 @ SV266 )
= ( SV19 @ SV144 @ SV266 ) )
= $true )
| ( ( ord_less_eq_set_val @ ( sK21_SY1049 @ SV144 @ SV266 @ SV19 ) @ ( SV19 @ ( sK20_SY439 @ SV266 @ SV144 @ SV19 ) @ ( sK21_SY1049 @ SV144 @ SV266 @ SV19 ) ) )
= $false )
| ( ( ord_less_eq_set_val @ ( sK7_SY437 @ SV266 @ SV144 @ SV19 ) @ ( SV19 @ ( sK7_SY437 @ SV266 @ SV144 @ SV19 ) @ ( sK9_SY1046 @ SV19 @ SV144 @ SV266 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2999]) ).
thf(3042,plain,
! [SV19: set_val > set_val > set_val,SV144: set_val,SV266: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ ( sK70_SY1081 @ SV266 @ SV144 @ SV19 ) @ ( sK68_SY441 @ SV266 @ SV144 @ SV19 ) ) )
= $false )
| ( ( ( sup_sup_set_val @ SV144 @ SV266 )
= ( SV19 @ SV144 @ SV266 ) )
= $true )
| ( ( ord_less_eq_set_val @ ( sK21_SY1049 @ SV144 @ SV266 @ SV19 ) @ ( SV19 @ ( sK20_SY439 @ SV266 @ SV144 @ SV19 ) @ ( sK21_SY1049 @ SV144 @ SV266 @ SV19 ) ) )
= $false )
| ( ( ord_less_eq_set_val @ ( sK7_SY437 @ SV266 @ SV144 @ SV19 ) @ ( SV19 @ ( sK7_SY437 @ SV266 @ SV144 @ SV19 ) @ ( sK9_SY1046 @ SV19 @ SV144 @ SV266 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3000]) ).
thf(3043,plain,
! [SV266: set_val,SV144: set_val,SV19: set_val > set_val > set_val] :
( ( ( ord_less_eq_set_val @ ( SV19 @ ( sK69_SY1077 @ SV19 @ SV144 @ SV266 ) @ ( sK70_SY1081 @ SV266 @ SV144 @ SV19 ) ) @ ( sK68_SY441 @ SV266 @ SV144 @ SV19 ) )
= $false )
| ( ( ( sup_sup_set_val @ SV144 @ SV266 )
= ( SV19 @ SV144 @ SV266 ) )
= $true )
| ( ( ord_less_eq_set_val @ ( sK21_SY1049 @ SV144 @ SV266 @ SV19 ) @ ( SV19 @ ( sK20_SY439 @ SV266 @ SV144 @ SV19 ) @ ( sK21_SY1049 @ SV144 @ SV266 @ SV19 ) ) )
= $false )
| ( ( ord_less_eq_set_val @ ( sK7_SY437 @ SV266 @ SV144 @ SV19 ) @ ( SV19 @ ( sK7_SY437 @ SV266 @ SV144 @ SV19 ) @ ( sK9_SY1046 @ SV19 @ SV144 @ SV266 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3000]) ).
thf(3044,plain,
! [SV353: set_val,SV149: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV149 @ SV353 ) )
= $false )
| ( ( ord_less_eq_set_val @ SV149 @ SV353 )
= $false )
| ( ( SV149 = SV353 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3001]) ).
thf(3045,plain,
! [SV353: set_val,SV149: set_val] :
( ( ( ~ ( ( SV149 != SV353 ) ) )
= $false )
| ( ( ord_less_eq_set_val @ SV149 @ SV353 )
= $false )
| ( ( SV149 = SV353 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3001]) ).
thf(3046,plain,
! [SV354: set_val,SV150: set_val] :
( ( ( ord_less_eq_set_val @ SV150 @ SV354 )
= $true )
| ( ( ord_less_eq_set_val @ SV150 @ SV354 )
= $false )
| ( ( ord_less_eq_set_val @ SV354 @ SV150 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3002]) ).
thf(3047,plain,
! [SV150: set_val,SV354: set_val] :
( ( ( ord_less_eq_set_val @ SV354 @ SV150 )
= $true )
| ( ( ord_less_eq_set_val @ SV150 @ SV354 )
= $false )
| ( ( ord_less_eq_set_val @ SV354 @ SV150 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3003]) ).
thf(3048,plain,
! [SV356: set_val,SV152: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV152 @ SV356 ) )
= $false )
| ( ( ord_less_eq_set_val @ SV152 @ SV356 )
= $false )
| ( ( ord_less_eq_set_val @ SV356 @ SV152 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3004]) ).
thf(3049,plain,
! [SV152: set_val,SV356: set_val] :
( ( ( ~ ~ ( ord_less_eq_set_val @ SV356 @ SV152 ) )
= $false )
| ( ( ord_less_eq_set_val @ SV152 @ SV356 )
= $false )
| ( ( ord_less_eq_set_val @ SV356 @ SV152 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3004]) ).
thf(3050,plain,
! [SV357: set_val,SV153: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV153 @ SV357 ) )
= $false )
| ( ( ord_less_eq_set_val @ SV153 @ SV357 )
= $false )
| ( ( SV153 = SV357 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3005]) ).
thf(3051,plain,
! [SV357: set_val,SV153: set_val] :
( ( ( ~ ( ( SV153 != SV357 ) ) )
= $false )
| ( ( ord_less_eq_set_val @ SV153 @ SV357 )
= $false )
| ( ( SV153 = SV357 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3005]) ).
thf(3052,plain,
! [SV362: set_val,SV167: set_val] :
( ( ( ord_less_eq_set_val @ SV167 @ SV362 )
= $true )
| ( ( ord_less_eq_set_val @ SV167 @ SV362 )
= $false )
| ( ( ord_less_eq_set_val @ SV362 @ SV167 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3010]) ).
thf(3053,plain,
! [SV167: set_val,SV362: set_val] :
( ( ( ord_less_eq_set_val @ SV362 @ SV167 )
= $true )
| ( ( ord_less_eq_set_val @ SV167 @ SV362 )
= $false )
| ( ( ord_less_eq_set_val @ SV362 @ SV167 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3011]) ).
thf(3054,plain,
! [SV370: set_val,SV183: set_val] :
( ( ( ord_less_eq_set_val @ SV183 @ SV370 )
= $true )
| ( ( ord_less_eq_set_val @ SV183 @ SV370 )
= $false )
| ( ( ord_less_eq_set_val @ SV370 @ SV183 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3013]) ).
thf(3055,plain,
! [SV183: set_val,SV370: set_val] :
( ( ( ord_less_eq_set_val @ SV370 @ SV183 )
= $true )
| ( ( ord_less_eq_set_val @ SV183 @ SV370 )
= $false )
| ( ( ord_less_eq_set_val @ SV370 @ SV183 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3014]) ).
thf(3056,plain,
! [SV374: $o > set_val,SV194: $o > set_val] :
( ( ( ord_less_eq_set_val @ ( SV194 @ $false ) @ ( SV374 @ $false ) )
= $true )
| ( ( ord_less_eq_set_val @ ( SV194 @ $false ) @ ( SV374 @ $false ) )
= $false )
| ( ( ord_less_eq_set_val @ ( SV194 @ $true ) @ ( SV374 @ $true ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3015]) ).
thf(3057,plain,
! [SV374: $o > set_val,SV194: $o > set_val] :
( ( ( ord_less_eq_set_val @ ( SV194 @ $true ) @ ( SV374 @ $true ) )
= $true )
| ( ( ord_less_eq_set_val @ ( SV194 @ $false ) @ ( SV374 @ $false ) )
= $false )
| ( ( ord_less_eq_set_val @ ( SV194 @ $true ) @ ( SV374 @ $true ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3016]) ).
thf(3058,plain,
! [SV375: set_val,SV307: set_val,SV204: set_val,SV80: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV80 @ SV204 ) )
= $true )
| ( ( SV80 = SV307 )
= $true )
| ( ( ( set_or1554624499et_val @ SV80 @ SV204 )
= ( set_or1554624499et_val @ SV307 @ SV375 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3017]) ).
thf(3059,plain,
! [SV204: set_val,SV80: set_val,SV375: set_val,SV307: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV307 @ SV375 ) )
= $true )
| ( ( SV80 = SV307 )
= $true )
| ( ( ( set_or1554624499et_val @ SV80 @ SV204 )
= ( set_or1554624499et_val @ SV307 @ SV375 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3018]) ).
thf(3060,plain,
! [SV307: set_val,SV375: set_val,SV204: set_val,SV80: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV80 @ SV204 ) )
= $true )
| ( ( SV204 = SV375 )
= $true )
| ( ( ( set_or1554624499et_val @ SV80 @ SV204 )
= ( set_or1554624499et_val @ SV307 @ SV375 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3019]) ).
thf(3061,plain,
! [SV80: set_val,SV204: set_val,SV375: set_val,SV307: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV307 @ SV375 ) )
= $true )
| ( ( SV204 = SV375 )
= $true )
| ( ( ( set_or1554624499et_val @ SV80 @ SV204 )
= ( set_or1554624499et_val @ SV307 @ SV375 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3020]) ).
thf(3062,plain,
! [SV375: set_val,SV204: set_val,SV307: set_val,SV80: set_val] :
( ( ( ( SV80 != SV307 )
| ( SV204 != SV375 ) )
= $false )
| ( ( ~ ( ~ ~ ( ord_less_eq_set_val @ SV80 @ SV204 )
| ~ ~ ( ord_less_eq_set_val @ SV307 @ SV375 ) ) )
= $true )
| ( ( SV80 = SV307 )
= $false )
| ( ( SV204 = SV375 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3021]) ).
thf(3063,plain,
! [SV375: set_val,SV307: set_val,SV204: set_val,SV80: set_val] :
( ( ( ( set_or1554624499et_val @ SV80 @ SV204 )
= ( set_or1554624499et_val @ SV307 @ SV375 ) )
= $true )
| ( ( ord_less_eq_set_val @ SV80 @ SV204 )
= $true )
| ( ( ord_less_eq_set_val @ SV307 @ SV375 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3022]) ).
thf(3064,plain,
! [SV375: set_val,SV204: set_val,SV307: set_val,SV80: set_val] :
( ( ( ~ ( ( SV80 != SV307 )
| ( SV204 != SV375 ) )
| ~ ( ~ ~ ( ord_less_eq_set_val @ SV80 @ SV204 )
| ~ ~ ( ord_less_eq_set_val @ SV307 @ SV375 ) ) )
= $true )
| ( ( ord_less_eq_set_val @ SV80 @ SV204 )
= $true )
| ( ( ord_less_eq_set_val @ SV307 @ SV375 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3023]) ).
thf(3065,plain,
! [SV376: set_val,SV206: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV206 @ SV376 ) )
= $false )
| ( ( ord_less_eq_set_val @ SV206 @ SV376 )
= $false )
| ( ( SV206 = SV376 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3024]) ).
thf(3066,plain,
! [SV376: set_val,SV206: set_val] :
( ( ( ~ ( ( SV206 != SV376 ) ) )
= $false )
| ( ( ord_less_eq_set_val @ SV206 @ SV376 )
= $false )
| ( ( SV206 = SV376 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3024]) ).
thf(3067,plain,
! [SV378: set_val,SV211: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV211 @ SV378 ) )
= $false )
| ( ( ord_less_eq_set_val @ SV211 @ SV378 )
= $false )
| ( ( ord_less_eq_set_val @ SV378 @ SV211 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3025]) ).
thf(3068,plain,
! [SV211: set_val,SV378: set_val] :
( ( ( ~ ~ ( ord_less_eq_set_val @ SV378 @ SV211 ) )
= $false )
| ( ( ord_less_eq_set_val @ SV211 @ SV378 )
= $false )
| ( ( ord_less_eq_set_val @ SV378 @ SV211 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3025]) ).
thf(3069,plain,
! [SV222: set_val,SV381: set_val] :
( ( ( ord_less_eq_set_val @ SV381 @ SV222 )
= $true )
| ( ( ord_less_eq_set_val @ SV381 @ SV222 )
= $false )
| ( ( ord_less_eq_set_val @ SV222 @ SV381 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3026]) ).
thf(3070,plain,
! [SV381: set_val,SV222: set_val] :
( ( ( ord_less_eq_set_val @ SV222 @ SV381 )
= $true )
| ( ( ord_less_eq_set_val @ SV381 @ SV222 )
= $false )
| ( ( ord_less_eq_set_val @ SV222 @ SV381 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3027]) ).
thf(3071,plain,
! [SV334: set_val > $o,SV243: set_val,SV422: set_val,SV115: set_val > $o] :
( ( ( ~ ( SV115 @ SV422 ) )
= $true )
| ( ( ord_less_eq_set_val @ SV422 @ ( sK67_SY988 @ SV243 @ SV334 @ SV115 ) )
= $true )
| ( ( SV334 @ ( order_1960465943et_val @ SV115 ) )
= $true )
| ( ( SV115 @ ( sK14_SY882 @ SV334 @ SV243 @ SV115 ) )
= $true )
| ( ( SV115 @ SV243 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3030]) ).
thf(3072,plain,
! [SV334: set_val > $o,SV243: set_val,SV421: set_val,SV115: set_val > $o] :
( ( ( SV115 @ SV421 )
= $false )
| ( ( ord_less_eq_set_val @ SV421 @ ( sK66_SY988 @ SV243 @ SV334 @ SV115 ) )
= $true )
| ( ( SV334 @ ( order_1960465943et_val @ SV115 ) )
= $true )
| ( ( ord_less_eq_set_val @ ( sK14_SY882 @ SV334 @ SV243 @ SV115 ) @ SV243 )
= $false )
| ( ( SV115 @ SV243 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3031]) ).
thf(3073,plain,
! [SV394: set_val,SV244: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV244 @ SV394 ) )
= $false )
| ( ( ord_less_eq_set_val @ SV244 @ SV394 )
= $false )
| ( ( SV394 = SV244 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3032]) ).
thf(3074,plain,
! [SV244: set_val,SV394: set_val] :
( ( ( ~ ( ( SV394 != SV244 ) ) )
= $false )
| ( ( ord_less_eq_set_val @ SV244 @ SV394 )
= $false )
| ( ( SV394 = SV244 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3032]) ).
thf(3075,plain,
! [SV131: set_val > set_val,SV409: set_val,SV343: set_val > set_val,SV404: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV404 @ ( SV343 @ SV409 ) ) )
= $false )
| ( ( ord_less_eq_set_val @ SV404 @ ( SV343 @ SV409 ) )
= $false )
| ( ( refine1929691018et_val @ SV131 @ SV343 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3035]) ).
thf(3076,plain,
! [SV343: set_val > set_val,SV409: set_val,SV404: set_val,SV131: set_val > set_val] :
( ( ( ~ ( ord_less_eq_set_val @ ( SV131 @ SV404 ) @ SV409 ) )
= $false )
| ( ( ord_less_eq_set_val @ SV404 @ ( SV343 @ SV409 ) )
= $false )
| ( ( refine1929691018et_val @ SV131 @ SV343 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3035]) ).
thf(3077,plain,
! [SV131: set_val > set_val,SV409: set_val,SV343: set_val > set_val,SV404: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV404 @ ( SV343 @ SV409 ) ) )
= $false )
| ( ( ord_less_eq_set_val @ ( SV131 @ SV404 ) @ SV409 )
= $false )
| ( ( refine1929691018et_val @ SV131 @ SV343 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3036]) ).
thf(3078,plain,
! [SV343: set_val > set_val,SV409: set_val,SV404: set_val,SV131: set_val > set_val] :
( ( ( ~ ( ord_less_eq_set_val @ ( SV131 @ SV404 ) @ SV409 ) )
= $false )
| ( ( ord_less_eq_set_val @ ( SV131 @ SV404 ) @ SV409 )
= $false )
| ( ( refine1929691018et_val @ SV131 @ SV343 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3036]) ).
thf(3079,plain,
! [SV131: set_val > set_val,SV424: set_val,SV343: set_val > set_val,SV423: set_val] :
( ( ( ( ord_less_eq_set_val @ SV423 @ ( SV343 @ SV424 ) )
= ( ord_less_eq_set_val @ ( SV131 @ SV423 ) @ SV424 ) )
= $true )
| ( ( ord_less_eq_set_val @ ( SV131 @ ( sK16_SY992 @ SV131 @ SV343 ) ) @ ( sK19_SY1048 @ SV343 @ SV131 ) )
= $true )
| ( ( ord_less_eq_set_val @ ( sK16_SY992 @ SV131 @ SV343 ) @ ( SV343 @ ( sK19_SY1048 @ SV343 @ SV131 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[3037]) ).
thf(3080,plain,
! [SV343: set_val > set_val,SV131: set_val > set_val] :
( ( ( refine1929691018et_val @ SV131 @ SV343 )
= $true )
| ( ( ord_less_eq_set_val @ ( sK16_SY992 @ SV131 @ SV343 ) @ ( SV343 @ ( sK19_SY1048 @ SV343 @ SV131 ) ) )
= $false )
| ( ( ord_less_eq_set_val @ ( SV131 @ ( sK16_SY992 @ SV131 @ SV343 ) ) @ ( sK19_SY1048 @ SV343 @ SV131 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3038]) ).
thf(3081,plain,
! [SV131: set_val > set_val,SV343: set_val > set_val] :
( ( ( ! [SY992: set_val,SY993: set_val] :
( ( ord_less_eq_set_val @ SY992 @ ( SV343 @ SY993 ) )
= ( ord_less_eq_set_val @ ( SV131 @ SY992 ) @ SY993 ) ) )
= $true )
| ( ( ord_less_eq_set_val @ ( sK16_SY992 @ SV131 @ SV343 ) @ ( SV343 @ ( sK19_SY1048 @ SV343 @ SV131 ) ) )
= $false )
| ( ( ord_less_eq_set_val @ ( SV131 @ ( sK16_SY992 @ SV131 @ SV343 ) ) @ ( sK19_SY1048 @ SV343 @ SV131 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3039]) ).
thf(3082,plain,
! [SV131: set_val > set_val,SV420: set_val,SV343: set_val > set_val,SV416: set_val] :
( ( ( ( ord_less_eq_set_val @ SV416 @ ( SV343 @ SV420 ) )
| ( ord_less_eq_set_val @ ( SV131 @ SV416 ) @ SV420 ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_val @ SV416 @ ( SV343 @ SV420 ) )
| ~ ( ord_less_eq_set_val @ ( SV131 @ SV416 ) @ SV420 ) ) )
= $true )
| ( ( ( ord_less_eq_set_val @ ( sK16_SY992 @ SV131 @ SV343 ) @ ( SV343 @ ( sK19_SY1048 @ SV343 @ SV131 ) ) )
= ( ord_less_eq_set_val @ ( SV131 @ ( sK16_SY992 @ SV131 @ SV343 ) ) @ ( sK19_SY1048 @ SV343 @ SV131 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3040]) ).
thf(3083,plain,
! [SV19: set_val > set_val > set_val,SV144: set_val,SV266: set_val] :
( ( ( ord_less_eq_set_val @ ( sK70_SY1081 @ SV266 @ SV144 @ SV19 ) @ ( sK68_SY441 @ SV266 @ SV144 @ SV19 ) )
= $true )
| ( ( ( sup_sup_set_val @ SV144 @ SV266 )
= ( SV19 @ SV144 @ SV266 ) )
= $true )
| ( ( ord_less_eq_set_val @ ( sK21_SY1049 @ SV144 @ SV266 @ SV19 ) @ ( SV19 @ ( sK20_SY439 @ SV266 @ SV144 @ SV19 ) @ ( sK21_SY1049 @ SV144 @ SV266 @ SV19 ) ) )
= $false )
| ( ( ord_less_eq_set_val @ ( sK7_SY437 @ SV266 @ SV144 @ SV19 ) @ ( SV19 @ ( sK7_SY437 @ SV266 @ SV144 @ SV19 ) @ ( sK9_SY1046 @ SV19 @ SV144 @ SV266 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3042]) ).
thf(3084,plain,
! [SV353: set_val,SV149: set_val] :
( ( ( ord_less_eq_set_val @ SV149 @ SV353 )
= $true )
| ( ( ord_less_eq_set_val @ SV149 @ SV353 )
= $false )
| ( ( SV149 = SV353 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3044]) ).
thf(3085,plain,
! [SV353: set_val,SV149: set_val] :
( ( ( SV149 != SV353 )
= $true )
| ( ( ord_less_eq_set_val @ SV149 @ SV353 )
= $false )
| ( ( SV149 = SV353 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3045]) ).
thf(3086,plain,
! [SV356: set_val,SV152: set_val] :
( ( ( ord_less_eq_set_val @ SV152 @ SV356 )
= $true )
| ( ( ord_less_eq_set_val @ SV152 @ SV356 )
= $false )
| ( ( ord_less_eq_set_val @ SV356 @ SV152 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3048]) ).
thf(3087,plain,
! [SV152: set_val,SV356: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV356 @ SV152 ) )
= $true )
| ( ( ord_less_eq_set_val @ SV152 @ SV356 )
= $false )
| ( ( ord_less_eq_set_val @ SV356 @ SV152 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3049]) ).
thf(3088,plain,
! [SV357: set_val,SV153: set_val] :
( ( ( ord_less_eq_set_val @ SV153 @ SV357 )
= $true )
| ( ( ord_less_eq_set_val @ SV153 @ SV357 )
= $false )
| ( ( SV153 = SV357 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3050]) ).
thf(3089,plain,
! [SV357: set_val,SV153: set_val] :
( ( ( SV153 != SV357 )
= $true )
| ( ( ord_less_eq_set_val @ SV153 @ SV357 )
= $false )
| ( ( SV153 = SV357 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3051]) ).
thf(3090,plain,
! [SV375: set_val,SV307: set_val,SV204: set_val,SV80: set_val] :
( ( ( ord_less_eq_set_val @ SV80 @ SV204 )
= $false )
| ( ( SV80 = SV307 )
= $true )
| ( ( ( set_or1554624499et_val @ SV80 @ SV204 )
= ( set_or1554624499et_val @ SV307 @ SV375 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3058]) ).
thf(3091,plain,
! [SV204: set_val,SV80: set_val,SV375: set_val,SV307: set_val] :
( ( ( ord_less_eq_set_val @ SV307 @ SV375 )
= $false )
| ( ( SV80 = SV307 )
= $true )
| ( ( ( set_or1554624499et_val @ SV80 @ SV204 )
= ( set_or1554624499et_val @ SV307 @ SV375 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3059]) ).
thf(3092,plain,
! [SV307: set_val,SV375: set_val,SV204: set_val,SV80: set_val] :
( ( ( ord_less_eq_set_val @ SV80 @ SV204 )
= $false )
| ( ( SV204 = SV375 )
= $true )
| ( ( ( set_or1554624499et_val @ SV80 @ SV204 )
= ( set_or1554624499et_val @ SV307 @ SV375 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3060]) ).
thf(3093,plain,
! [SV80: set_val,SV204: set_val,SV375: set_val,SV307: set_val] :
( ( ( ord_less_eq_set_val @ SV307 @ SV375 )
= $false )
| ( ( SV204 = SV375 )
= $true )
| ( ( ( set_or1554624499et_val @ SV80 @ SV204 )
= ( set_or1554624499et_val @ SV307 @ SV375 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3061]) ).
thf(3094,plain,
! [SV375: set_val,SV204: set_val,SV307: set_val,SV80: set_val] :
( ( ( SV80 != SV307 )
= $false )
| ( ( ~ ( ~ ~ ( ord_less_eq_set_val @ SV80 @ SV204 )
| ~ ~ ( ord_less_eq_set_val @ SV307 @ SV375 ) ) )
= $true )
| ( ( SV80 = SV307 )
= $false )
| ( ( SV204 = SV375 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3062]) ).
thf(3095,plain,
! [SV307: set_val,SV80: set_val,SV375: set_val,SV204: set_val] :
( ( ( SV204 != SV375 )
= $false )
| ( ( ~ ( ~ ~ ( ord_less_eq_set_val @ SV80 @ SV204 )
| ~ ~ ( ord_less_eq_set_val @ SV307 @ SV375 ) ) )
= $true )
| ( ( SV80 = SV307 )
= $false )
| ( ( SV204 = SV375 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3062]) ).
thf(3096,plain,
! [SV375: set_val,SV204: set_val,SV307: set_val,SV80: set_val] :
( ( ( ~ ( ( SV80 != SV307 )
| ( SV204 != SV375 ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ord_less_eq_set_val @ SV80 @ SV204 )
| ~ ~ ( ord_less_eq_set_val @ SV307 @ SV375 ) ) )
= $true )
| ( ( ord_less_eq_set_val @ SV80 @ SV204 )
= $true )
| ( ( ord_less_eq_set_val @ SV307 @ SV375 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3064]) ).
thf(3097,plain,
! [SV376: set_val,SV206: set_val] :
( ( ( ord_less_eq_set_val @ SV206 @ SV376 )
= $true )
| ( ( ord_less_eq_set_val @ SV206 @ SV376 )
= $false )
| ( ( SV206 = SV376 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3065]) ).
thf(3098,plain,
! [SV376: set_val,SV206: set_val] :
( ( ( SV206 != SV376 )
= $true )
| ( ( ord_less_eq_set_val @ SV206 @ SV376 )
= $false )
| ( ( SV206 = SV376 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3066]) ).
thf(3099,plain,
! [SV378: set_val,SV211: set_val] :
( ( ( ord_less_eq_set_val @ SV211 @ SV378 )
= $true )
| ( ( ord_less_eq_set_val @ SV211 @ SV378 )
= $false )
| ( ( ord_less_eq_set_val @ SV378 @ SV211 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3067]) ).
thf(3100,plain,
! [SV211: set_val,SV378: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV378 @ SV211 ) )
= $true )
| ( ( ord_less_eq_set_val @ SV211 @ SV378 )
= $false )
| ( ( ord_less_eq_set_val @ SV378 @ SV211 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3068]) ).
thf(3101,plain,
! [SV334: set_val > $o,SV243: set_val,SV422: set_val,SV115: set_val > $o] :
( ( ( SV115 @ SV422 )
= $false )
| ( ( ord_less_eq_set_val @ SV422 @ ( sK67_SY988 @ SV243 @ SV334 @ SV115 ) )
= $true )
| ( ( SV334 @ ( order_1960465943et_val @ SV115 ) )
= $true )
| ( ( SV115 @ ( sK14_SY882 @ SV334 @ SV243 @ SV115 ) )
= $true )
| ( ( SV115 @ SV243 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3071]) ).
thf(3102,plain,
! [SV394: set_val,SV244: set_val] :
( ( ( ord_less_eq_set_val @ SV244 @ SV394 )
= $true )
| ( ( ord_less_eq_set_val @ SV244 @ SV394 )
= $false )
| ( ( SV394 = SV244 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3073]) ).
thf(3103,plain,
! [SV244: set_val,SV394: set_val] :
( ( ( SV394 != SV244 )
= $true )
| ( ( ord_less_eq_set_val @ SV244 @ SV394 )
= $false )
| ( ( SV394 = SV244 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3074]) ).
thf(3104,plain,
! [SV131: set_val > set_val,SV409: set_val,SV343: set_val > set_val,SV404: set_val] :
( ( ( ord_less_eq_set_val @ SV404 @ ( SV343 @ SV409 ) )
= $true )
| ( ( ord_less_eq_set_val @ SV404 @ ( SV343 @ SV409 ) )
= $false )
| ( ( refine1929691018et_val @ SV131 @ SV343 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3075]) ).
thf(3105,plain,
! [SV343: set_val > set_val,SV409: set_val,SV404: set_val,SV131: set_val > set_val] :
( ( ( ord_less_eq_set_val @ ( SV131 @ SV404 ) @ SV409 )
= $true )
| ( ( ord_less_eq_set_val @ SV404 @ ( SV343 @ SV409 ) )
= $false )
| ( ( refine1929691018et_val @ SV131 @ SV343 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3076]) ).
thf(3106,plain,
! [SV131: set_val > set_val,SV409: set_val,SV343: set_val > set_val,SV404: set_val] :
( ( ( ord_less_eq_set_val @ SV404 @ ( SV343 @ SV409 ) )
= $true )
| ( ( ord_less_eq_set_val @ ( SV131 @ SV404 ) @ SV409 )
= $false )
| ( ( refine1929691018et_val @ SV131 @ SV343 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3077]) ).
thf(3107,plain,
! [SV343: set_val > set_val,SV409: set_val,SV404: set_val,SV131: set_val > set_val] :
( ( ( ord_less_eq_set_val @ ( SV131 @ SV404 ) @ SV409 )
= $true )
| ( ( ord_less_eq_set_val @ ( SV131 @ SV404 ) @ SV409 )
= $false )
| ( ( refine1929691018et_val @ SV131 @ SV343 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3078]) ).
thf(3108,plain,
! [SV131: set_val > set_val,SV424: set_val,SV343: set_val > set_val,SV423: set_val] :
( ( ( ~ ( ( ord_less_eq_set_val @ SV423 @ ( SV343 @ SV424 ) )
| ( ord_less_eq_set_val @ ( SV131 @ SV423 ) @ SV424 ) )
| ~ ( ~ ( ord_less_eq_set_val @ SV423 @ ( SV343 @ SV424 ) )
| ~ ( ord_less_eq_set_val @ ( SV131 @ SV423 ) @ SV424 ) ) )
= $true )
| ( ( ord_less_eq_set_val @ ( SV131 @ ( sK16_SY992 @ SV131 @ SV343 ) ) @ ( sK19_SY1048 @ SV343 @ SV131 ) )
= $true )
| ( ( ord_less_eq_set_val @ ( sK16_SY992 @ SV131 @ SV343 ) @ ( SV343 @ ( sK19_SY1048 @ SV343 @ SV131 ) ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[3079]) ).
thf(3109,plain,
! [SV131: set_val > set_val,SV424: set_val,SV343: set_val > set_val,SV423: set_val] :
( ( ( ( ord_less_eq_set_val @ SV423 @ ( SV343 @ SV424 ) )
= ( ord_less_eq_set_val @ ( SV131 @ SV423 ) @ SV424 ) )
= $true )
| ( ( ord_less_eq_set_val @ ( SV131 @ ( sK16_SY992 @ SV131 @ SV343 ) ) @ ( sK19_SY1048 @ SV343 @ SV131 ) )
= $true )
| ( ( ord_less_eq_set_val @ ( sK16_SY992 @ SV131 @ SV343 ) @ ( SV343 @ ( sK19_SY1048 @ SV343 @ SV131 ) ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[3079]) ).
thf(3110,plain,
! [SV131: set_val > set_val,SV343: set_val > set_val,SV425: set_val] :
( ( ( ! [SY1083: set_val] :
( ( ord_less_eq_set_val @ SV425 @ ( SV343 @ SY1083 ) )
= ( ord_less_eq_set_val @ ( SV131 @ SV425 ) @ SY1083 ) ) )
= $true )
| ( ( ord_less_eq_set_val @ ( sK16_SY992 @ SV131 @ SV343 ) @ ( SV343 @ ( sK19_SY1048 @ SV343 @ SV131 ) ) )
= $false )
| ( ( ord_less_eq_set_val @ ( SV131 @ ( sK16_SY992 @ SV131 @ SV343 ) ) @ ( sK19_SY1048 @ SV343 @ SV131 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3081]) ).
thf(3111,plain,
! [SV131: set_val > set_val,SV420: set_val,SV343: set_val > set_val,SV416: set_val] :
( ( ( ord_less_eq_set_val @ SV416 @ ( SV343 @ SV420 ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_val @ SV416 @ ( SV343 @ SV420 ) )
| ~ ( ord_less_eq_set_val @ ( SV131 @ SV416 ) @ SV420 ) ) )
= $true )
| ( ( ( ord_less_eq_set_val @ ( sK16_SY992 @ SV131 @ SV343 ) @ ( SV343 @ ( sK19_SY1048 @ SV343 @ SV131 ) ) )
= ( ord_less_eq_set_val @ ( SV131 @ ( sK16_SY992 @ SV131 @ SV343 ) ) @ ( sK19_SY1048 @ SV343 @ SV131 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3082]) ).
thf(3112,plain,
! [SV343: set_val > set_val,SV420: set_val,SV416: set_val,SV131: set_val > set_val] :
( ( ( ord_less_eq_set_val @ ( SV131 @ SV416 ) @ SV420 )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_val @ SV416 @ ( SV343 @ SV420 ) )
| ~ ( ord_less_eq_set_val @ ( SV131 @ SV416 ) @ SV420 ) ) )
= $true )
| ( ( ( ord_less_eq_set_val @ ( sK16_SY992 @ SV131 @ SV343 ) @ ( SV343 @ ( sK19_SY1048 @ SV343 @ SV131 ) ) )
= ( ord_less_eq_set_val @ ( SV131 @ ( sK16_SY992 @ SV131 @ SV343 ) ) @ ( sK19_SY1048 @ SV343 @ SV131 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3082]) ).
thf(3113,plain,
! [SV353: set_val,SV149: set_val] :
( ( ( SV149 = SV353 )
= $false )
| ( ( ord_less_eq_set_val @ SV149 @ SV353 )
= $false )
| ( ( SV149 = SV353 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3085]) ).
thf(3114,plain,
! [SV152: set_val,SV356: set_val] :
( ( ( ord_less_eq_set_val @ SV356 @ SV152 )
= $false )
| ( ( ord_less_eq_set_val @ SV152 @ SV356 )
= $false )
| ( ( ord_less_eq_set_val @ SV356 @ SV152 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3087]) ).
thf(3115,plain,
! [SV357: set_val,SV153: set_val] :
( ( ( SV153 = SV357 )
= $false )
| ( ( ord_less_eq_set_val @ SV153 @ SV357 )
= $false )
| ( ( SV153 = SV357 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3089]) ).
thf(3116,plain,
! [SV375: set_val,SV204: set_val,SV307: set_val,SV80: set_val] :
( ( ( SV80 = SV307 )
= $true )
| ( ( ~ ( ~ ~ ( ord_less_eq_set_val @ SV80 @ SV204 )
| ~ ~ ( ord_less_eq_set_val @ SV307 @ SV375 ) ) )
= $true )
| ( ( SV80 = SV307 )
= $false )
| ( ( SV204 = SV375 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3094]) ).
thf(3117,plain,
! [SV307: set_val,SV80: set_val,SV375: set_val,SV204: set_val] :
( ( ( SV204 = SV375 )
= $true )
| ( ( ~ ( ~ ~ ( ord_less_eq_set_val @ SV80 @ SV204 )
| ~ ~ ( ord_less_eq_set_val @ SV307 @ SV375 ) ) )
= $true )
| ( ( SV80 = SV307 )
= $false )
| ( ( SV204 = SV375 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3095]) ).
thf(3118,plain,
! [SV375: set_val,SV204: set_val,SV307: set_val,SV80: set_val] :
( ( ( ( SV80 != SV307 )
| ( SV204 != SV375 ) )
= $false )
| ( ( ~ ( ~ ~ ( ord_less_eq_set_val @ SV80 @ SV204 )
| ~ ~ ( ord_less_eq_set_val @ SV307 @ SV375 ) ) )
= $true )
| ( ( ord_less_eq_set_val @ SV80 @ SV204 )
= $true )
| ( ( ord_less_eq_set_val @ SV307 @ SV375 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3096]) ).
thf(3119,plain,
! [SV376: set_val,SV206: set_val] :
( ( ( SV206 = SV376 )
= $false )
| ( ( ord_less_eq_set_val @ SV206 @ SV376 )
= $false )
| ( ( SV206 = SV376 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3098]) ).
thf(3120,plain,
! [SV211: set_val,SV378: set_val] :
( ( ( ord_less_eq_set_val @ SV378 @ SV211 )
= $false )
| ( ( ord_less_eq_set_val @ SV211 @ SV378 )
= $false )
| ( ( ord_less_eq_set_val @ SV378 @ SV211 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3100]) ).
thf(3121,plain,
! [SV244: set_val,SV394: set_val] :
( ( ( SV394 = SV244 )
= $false )
| ( ( ord_less_eq_set_val @ SV244 @ SV394 )
= $false )
| ( ( SV394 = SV244 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3103]) ).
thf(3122,plain,
! [SV131: set_val > set_val,SV424: set_val,SV343: set_val > set_val,SV423: set_val] :
( ( ( ~ ( ( ord_less_eq_set_val @ SV423 @ ( SV343 @ SV424 ) )
| ( ord_less_eq_set_val @ ( SV131 @ SV423 ) @ SV424 ) ) )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_set_val @ SV423 @ ( SV343 @ SV424 ) )
| ~ ( ord_less_eq_set_val @ ( SV131 @ SV423 ) @ SV424 ) ) )
= $true )
| ( ( ord_less_eq_set_val @ ( SV131 @ ( sK16_SY992 @ SV131 @ SV343 ) ) @ ( sK19_SY1048 @ SV343 @ SV131 ) )
= $true )
| ( ( ord_less_eq_set_val @ ( sK16_SY992 @ SV131 @ SV343 ) @ ( SV343 @ ( sK19_SY1048 @ SV343 @ SV131 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3108]) ).
thf(3123,plain,
! [SV131: set_val > set_val,SV426: set_val,SV343: set_val > set_val,SV425: set_val] :
( ( ( ( ord_less_eq_set_val @ SV425 @ ( SV343 @ SV426 ) )
= ( ord_less_eq_set_val @ ( SV131 @ SV425 ) @ SV426 ) )
= $true )
| ( ( ord_less_eq_set_val @ ( sK16_SY992 @ SV131 @ SV343 ) @ ( SV343 @ ( sK19_SY1048 @ SV343 @ SV131 ) ) )
= $false )
| ( ( ord_less_eq_set_val @ ( SV131 @ ( sK16_SY992 @ SV131 @ SV343 ) ) @ ( sK19_SY1048 @ SV343 @ SV131 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[3110]) ).
thf(3124,plain,
! [SV131: set_val > set_val,SV420: set_val,SV343: set_val > set_val,SV416: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV416 @ ( SV343 @ SV420 ) )
| ~ ( ord_less_eq_set_val @ ( SV131 @ SV416 ) @ SV420 ) )
= $false )
| ( ( ord_less_eq_set_val @ SV416 @ ( SV343 @ SV420 ) )
= $false )
| ( ( ( ord_less_eq_set_val @ ( sK16_SY992 @ SV131 @ SV343 ) @ ( SV343 @ ( sK19_SY1048 @ SV343 @ SV131 ) ) )
= ( ord_less_eq_set_val @ ( SV131 @ ( sK16_SY992 @ SV131 @ SV343 ) ) @ ( sK19_SY1048 @ SV343 @ SV131 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3111]) ).
thf(3125,plain,
! [SV131: set_val > set_val,SV420: set_val,SV343: set_val > set_val,SV416: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV416 @ ( SV343 @ SV420 ) )
| ~ ( ord_less_eq_set_val @ ( SV131 @ SV416 ) @ SV420 ) )
= $false )
| ( ( ord_less_eq_set_val @ ( SV131 @ SV416 ) @ SV420 )
= $false )
| ( ( ( ord_less_eq_set_val @ ( sK16_SY992 @ SV131 @ SV343 ) @ ( SV343 @ ( sK19_SY1048 @ SV343 @ SV131 ) ) )
= ( ord_less_eq_set_val @ ( SV131 @ ( sK16_SY992 @ SV131 @ SV343 ) ) @ ( sK19_SY1048 @ SV343 @ SV131 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3112]) ).
thf(3126,plain,
! [SV375: set_val,SV307: set_val,SV204: set_val,SV80: set_val] :
( ( ( ~ ~ ( ord_less_eq_set_val @ SV80 @ SV204 )
| ~ ~ ( ord_less_eq_set_val @ SV307 @ SV375 ) )
= $false )
| ( ( SV80 = SV307 )
= $true )
| ( ( SV80 = SV307 )
= $false )
| ( ( SV204 = SV375 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3116]) ).
thf(3127,plain,
! [SV375: set_val,SV307: set_val,SV204: set_val,SV80: set_val] :
( ( ( ~ ~ ( ord_less_eq_set_val @ SV80 @ SV204 )
| ~ ~ ( ord_less_eq_set_val @ SV307 @ SV375 ) )
= $false )
| ( ( SV204 = SV375 )
= $true )
| ( ( SV80 = SV307 )
= $false )
| ( ( SV204 = SV375 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3117]) ).
thf(3128,plain,
! [SV375: set_val,SV204: set_val,SV307: set_val,SV80: set_val] :
( ( ( SV80 != SV307 )
= $false )
| ( ( ~ ( ~ ~ ( ord_less_eq_set_val @ SV80 @ SV204 )
| ~ ~ ( ord_less_eq_set_val @ SV307 @ SV375 ) ) )
= $true )
| ( ( ord_less_eq_set_val @ SV80 @ SV204 )
= $true )
| ( ( ord_less_eq_set_val @ SV307 @ SV375 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3118]) ).
thf(3129,plain,
! [SV307: set_val,SV80: set_val,SV375: set_val,SV204: set_val] :
( ( ( SV204 != SV375 )
= $false )
| ( ( ~ ( ~ ~ ( ord_less_eq_set_val @ SV80 @ SV204 )
| ~ ~ ( ord_less_eq_set_val @ SV307 @ SV375 ) ) )
= $true )
| ( ( ord_less_eq_set_val @ SV80 @ SV204 )
= $true )
| ( ( ord_less_eq_set_val @ SV307 @ SV375 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3118]) ).
thf(3130,plain,
! [SV131: set_val > set_val,SV424: set_val,SV343: set_val > set_val,SV423: set_val] :
( ( ( ( ord_less_eq_set_val @ SV423 @ ( SV343 @ SV424 ) )
| ( ord_less_eq_set_val @ ( SV131 @ SV423 ) @ SV424 ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_val @ SV423 @ ( SV343 @ SV424 ) )
| ~ ( ord_less_eq_set_val @ ( SV131 @ SV423 ) @ SV424 ) ) )
= $true )
| ( ( ord_less_eq_set_val @ ( SV131 @ ( sK16_SY992 @ SV131 @ SV343 ) ) @ ( sK19_SY1048 @ SV343 @ SV131 ) )
= $true )
| ( ( ord_less_eq_set_val @ ( sK16_SY992 @ SV131 @ SV343 ) @ ( SV343 @ ( sK19_SY1048 @ SV343 @ SV131 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3122]) ).
thf(3131,plain,
! [SV131: set_val > set_val,SV426: set_val,SV343: set_val > set_val,SV425: set_val] :
( ( ( ~ ( ( ord_less_eq_set_val @ SV425 @ ( SV343 @ SV426 ) )
| ( ord_less_eq_set_val @ ( SV131 @ SV425 ) @ SV426 ) )
| ~ ( ~ ( ord_less_eq_set_val @ SV425 @ ( SV343 @ SV426 ) )
| ~ ( ord_less_eq_set_val @ ( SV131 @ SV425 ) @ SV426 ) ) )
= $true )
| ( ( ord_less_eq_set_val @ ( sK16_SY992 @ SV131 @ SV343 ) @ ( SV343 @ ( sK19_SY1048 @ SV343 @ SV131 ) ) )
= $false )
| ( ( ord_less_eq_set_val @ ( SV131 @ ( sK16_SY992 @ SV131 @ SV343 ) ) @ ( sK19_SY1048 @ SV343 @ SV131 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[3123]) ).
thf(3132,plain,
! [SV131: set_val > set_val,SV426: set_val,SV343: set_val > set_val,SV425: set_val] :
( ( ( ( ord_less_eq_set_val @ SV425 @ ( SV343 @ SV426 ) )
= ( ord_less_eq_set_val @ ( SV131 @ SV425 ) @ SV426 ) )
= $true )
| ( ( ord_less_eq_set_val @ ( sK16_SY992 @ SV131 @ SV343 ) @ ( SV343 @ ( sK19_SY1048 @ SV343 @ SV131 ) ) )
= $false )
| ( ( ord_less_eq_set_val @ ( SV131 @ ( sK16_SY992 @ SV131 @ SV343 ) ) @ ( sK19_SY1048 @ SV343 @ SV131 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[3123]) ).
thf(3133,plain,
! [SV131: set_val > set_val,SV420: set_val,SV343: set_val > set_val,SV416: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV416 @ ( SV343 @ SV420 ) ) )
= $false )
| ( ( ord_less_eq_set_val @ SV416 @ ( SV343 @ SV420 ) )
= $false )
| ( ( ( ord_less_eq_set_val @ ( sK16_SY992 @ SV131 @ SV343 ) @ ( SV343 @ ( sK19_SY1048 @ SV343 @ SV131 ) ) )
= ( ord_less_eq_set_val @ ( SV131 @ ( sK16_SY992 @ SV131 @ SV343 ) ) @ ( sK19_SY1048 @ SV343 @ SV131 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3124]) ).
thf(3134,plain,
! [SV343: set_val > set_val,SV420: set_val,SV416: set_val,SV131: set_val > set_val] :
( ( ( ~ ( ord_less_eq_set_val @ ( SV131 @ SV416 ) @ SV420 ) )
= $false )
| ( ( ord_less_eq_set_val @ SV416 @ ( SV343 @ SV420 ) )
= $false )
| ( ( ( ord_less_eq_set_val @ ( sK16_SY992 @ SV131 @ SV343 ) @ ( SV343 @ ( sK19_SY1048 @ SV343 @ SV131 ) ) )
= ( ord_less_eq_set_val @ ( SV131 @ ( sK16_SY992 @ SV131 @ SV343 ) ) @ ( sK19_SY1048 @ SV343 @ SV131 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3124]) ).
thf(3135,plain,
! [SV131: set_val > set_val,SV420: set_val,SV343: set_val > set_val,SV416: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV416 @ ( SV343 @ SV420 ) ) )
= $false )
| ( ( ord_less_eq_set_val @ ( SV131 @ SV416 ) @ SV420 )
= $false )
| ( ( ( ord_less_eq_set_val @ ( sK16_SY992 @ SV131 @ SV343 ) @ ( SV343 @ ( sK19_SY1048 @ SV343 @ SV131 ) ) )
= ( ord_less_eq_set_val @ ( SV131 @ ( sK16_SY992 @ SV131 @ SV343 ) ) @ ( sK19_SY1048 @ SV343 @ SV131 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3125]) ).
thf(3136,plain,
! [SV343: set_val > set_val,SV420: set_val,SV416: set_val,SV131: set_val > set_val] :
( ( ( ~ ( ord_less_eq_set_val @ ( SV131 @ SV416 ) @ SV420 ) )
= $false )
| ( ( ord_less_eq_set_val @ ( SV131 @ SV416 ) @ SV420 )
= $false )
| ( ( ( ord_less_eq_set_val @ ( sK16_SY992 @ SV131 @ SV343 ) @ ( SV343 @ ( sK19_SY1048 @ SV343 @ SV131 ) ) )
= ( ord_less_eq_set_val @ ( SV131 @ ( sK16_SY992 @ SV131 @ SV343 ) ) @ ( sK19_SY1048 @ SV343 @ SV131 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3125]) ).
thf(3137,plain,
! [SV375: set_val,SV307: set_val,SV204: set_val,SV80: set_val] :
( ( ( ~ ~ ( ord_less_eq_set_val @ SV80 @ SV204 ) )
= $false )
| ( ( SV80 = SV307 )
= $true )
| ( ( SV80 = SV307 )
= $false )
| ( ( SV204 = SV375 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3126]) ).
thf(3138,plain,
! [SV204: set_val,SV80: set_val,SV375: set_val,SV307: set_val] :
( ( ( ~ ~ ( ord_less_eq_set_val @ SV307 @ SV375 ) )
= $false )
| ( ( SV80 = SV307 )
= $true )
| ( ( SV80 = SV307 )
= $false )
| ( ( SV204 = SV375 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3126]) ).
thf(3139,plain,
! [SV307: set_val,SV375: set_val,SV204: set_val,SV80: set_val] :
( ( ( ~ ~ ( ord_less_eq_set_val @ SV80 @ SV204 ) )
= $false )
| ( ( SV204 = SV375 )
= $true )
| ( ( SV80 = SV307 )
= $false )
| ( ( SV204 = SV375 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3127]) ).
thf(3140,plain,
! [SV80: set_val,SV204: set_val,SV375: set_val,SV307: set_val] :
( ( ( ~ ~ ( ord_less_eq_set_val @ SV307 @ SV375 ) )
= $false )
| ( ( SV204 = SV375 )
= $true )
| ( ( SV80 = SV307 )
= $false )
| ( ( SV204 = SV375 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3127]) ).
thf(3141,plain,
! [SV375: set_val,SV204: set_val,SV307: set_val,SV80: set_val] :
( ( ( SV80 = SV307 )
= $true )
| ( ( ~ ( ~ ~ ( ord_less_eq_set_val @ SV80 @ SV204 )
| ~ ~ ( ord_less_eq_set_val @ SV307 @ SV375 ) ) )
= $true )
| ( ( ord_less_eq_set_val @ SV80 @ SV204 )
= $true )
| ( ( ord_less_eq_set_val @ SV307 @ SV375 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3128]) ).
thf(3142,plain,
! [SV307: set_val,SV80: set_val,SV375: set_val,SV204: set_val] :
( ( ( SV204 = SV375 )
= $true )
| ( ( ~ ( ~ ~ ( ord_less_eq_set_val @ SV80 @ SV204 )
| ~ ~ ( ord_less_eq_set_val @ SV307 @ SV375 ) ) )
= $true )
| ( ( ord_less_eq_set_val @ SV80 @ SV204 )
= $true )
| ( ( ord_less_eq_set_val @ SV307 @ SV375 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3129]) ).
thf(3143,plain,
! [SV131: set_val > set_val,SV424: set_val,SV343: set_val > set_val,SV423: set_val] :
( ( ( ord_less_eq_set_val @ SV423 @ ( SV343 @ SV424 ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_val @ SV423 @ ( SV343 @ SV424 ) )
| ~ ( ord_less_eq_set_val @ ( SV131 @ SV423 ) @ SV424 ) ) )
= $true )
| ( ( ord_less_eq_set_val @ ( SV131 @ ( sK16_SY992 @ SV131 @ SV343 ) ) @ ( sK19_SY1048 @ SV343 @ SV131 ) )
= $true )
| ( ( ord_less_eq_set_val @ ( sK16_SY992 @ SV131 @ SV343 ) @ ( SV343 @ ( sK19_SY1048 @ SV343 @ SV131 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3130]) ).
thf(3144,plain,
! [SV343: set_val > set_val,SV424: set_val,SV423: set_val,SV131: set_val > set_val] :
( ( ( ord_less_eq_set_val @ ( SV131 @ SV423 ) @ SV424 )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_val @ SV423 @ ( SV343 @ SV424 ) )
| ~ ( ord_less_eq_set_val @ ( SV131 @ SV423 ) @ SV424 ) ) )
= $true )
| ( ( ord_less_eq_set_val @ ( SV131 @ ( sK16_SY992 @ SV131 @ SV343 ) ) @ ( sK19_SY1048 @ SV343 @ SV131 ) )
= $true )
| ( ( ord_less_eq_set_val @ ( sK16_SY992 @ SV131 @ SV343 ) @ ( SV343 @ ( sK19_SY1048 @ SV343 @ SV131 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3130]) ).
thf(3145,plain,
! [SV131: set_val > set_val,SV426: set_val,SV343: set_val > set_val,SV425: set_val] :
( ( ( ~ ( ( ord_less_eq_set_val @ SV425 @ ( SV343 @ SV426 ) )
| ( ord_less_eq_set_val @ ( SV131 @ SV425 ) @ SV426 ) ) )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_set_val @ SV425 @ ( SV343 @ SV426 ) )
| ~ ( ord_less_eq_set_val @ ( SV131 @ SV425 ) @ SV426 ) ) )
= $true )
| ( ( ord_less_eq_set_val @ ( sK16_SY992 @ SV131 @ SV343 ) @ ( SV343 @ ( sK19_SY1048 @ SV343 @ SV131 ) ) )
= $false )
| ( ( ord_less_eq_set_val @ ( SV131 @ ( sK16_SY992 @ SV131 @ SV343 ) ) @ ( sK19_SY1048 @ SV343 @ SV131 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3131]) ).
thf(3146,plain,
! [SV131: set_val > set_val,SV420: set_val,SV343: set_val > set_val,SV416: set_val] :
( ( ( ord_less_eq_set_val @ SV416 @ ( SV343 @ SV420 ) )
= $true )
| ( ( ord_less_eq_set_val @ SV416 @ ( SV343 @ SV420 ) )
= $false )
| ( ( ( ord_less_eq_set_val @ ( sK16_SY992 @ SV131 @ SV343 ) @ ( SV343 @ ( sK19_SY1048 @ SV343 @ SV131 ) ) )
= ( ord_less_eq_set_val @ ( SV131 @ ( sK16_SY992 @ SV131 @ SV343 ) ) @ ( sK19_SY1048 @ SV343 @ SV131 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3133]) ).
thf(3147,plain,
! [SV343: set_val > set_val,SV420: set_val,SV416: set_val,SV131: set_val > set_val] :
( ( ( ord_less_eq_set_val @ ( SV131 @ SV416 ) @ SV420 )
= $true )
| ( ( ord_less_eq_set_val @ SV416 @ ( SV343 @ SV420 ) )
= $false )
| ( ( ( ord_less_eq_set_val @ ( sK16_SY992 @ SV131 @ SV343 ) @ ( SV343 @ ( sK19_SY1048 @ SV343 @ SV131 ) ) )
= ( ord_less_eq_set_val @ ( SV131 @ ( sK16_SY992 @ SV131 @ SV343 ) ) @ ( sK19_SY1048 @ SV343 @ SV131 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3134]) ).
thf(3148,plain,
! [SV131: set_val > set_val,SV420: set_val,SV343: set_val > set_val,SV416: set_val] :
( ( ( ord_less_eq_set_val @ SV416 @ ( SV343 @ SV420 ) )
= $true )
| ( ( ord_less_eq_set_val @ ( SV131 @ SV416 ) @ SV420 )
= $false )
| ( ( ( ord_less_eq_set_val @ ( sK16_SY992 @ SV131 @ SV343 ) @ ( SV343 @ ( sK19_SY1048 @ SV343 @ SV131 ) ) )
= ( ord_less_eq_set_val @ ( SV131 @ ( sK16_SY992 @ SV131 @ SV343 ) ) @ ( sK19_SY1048 @ SV343 @ SV131 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3135]) ).
thf(3149,plain,
! [SV343: set_val > set_val,SV420: set_val,SV416: set_val,SV131: set_val > set_val] :
( ( ( ord_less_eq_set_val @ ( SV131 @ SV416 ) @ SV420 )
= $true )
| ( ( ord_less_eq_set_val @ ( SV131 @ SV416 ) @ SV420 )
= $false )
| ( ( ( ord_less_eq_set_val @ ( sK16_SY992 @ SV131 @ SV343 ) @ ( SV343 @ ( sK19_SY1048 @ SV343 @ SV131 ) ) )
= ( ord_less_eq_set_val @ ( SV131 @ ( sK16_SY992 @ SV131 @ SV343 ) ) @ ( sK19_SY1048 @ SV343 @ SV131 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3136]) ).
thf(3150,plain,
! [SV375: set_val,SV307: set_val,SV204: set_val,SV80: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV80 @ SV204 ) )
= $true )
| ( ( SV80 = SV307 )
= $true )
| ( ( SV80 = SV307 )
= $false )
| ( ( SV204 = SV375 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3137]) ).
thf(3151,plain,
! [SV204: set_val,SV80: set_val,SV375: set_val,SV307: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV307 @ SV375 ) )
= $true )
| ( ( SV80 = SV307 )
= $true )
| ( ( SV80 = SV307 )
= $false )
| ( ( SV204 = SV375 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3138]) ).
thf(3152,plain,
! [SV307: set_val,SV375: set_val,SV204: set_val,SV80: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV80 @ SV204 ) )
= $true )
| ( ( SV204 = SV375 )
= $true )
| ( ( SV80 = SV307 )
= $false )
| ( ( SV204 = SV375 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3139]) ).
thf(3153,plain,
! [SV80: set_val,SV204: set_val,SV375: set_val,SV307: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV307 @ SV375 ) )
= $true )
| ( ( SV204 = SV375 )
= $true )
| ( ( SV80 = SV307 )
= $false )
| ( ( SV204 = SV375 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3140]) ).
thf(3154,plain,
! [SV375: set_val,SV307: set_val,SV204: set_val,SV80: set_val] :
( ( ( ~ ~ ( ord_less_eq_set_val @ SV80 @ SV204 )
| ~ ~ ( ord_less_eq_set_val @ SV307 @ SV375 ) )
= $false )
| ( ( SV80 = SV307 )
= $true )
| ( ( ord_less_eq_set_val @ SV80 @ SV204 )
= $true )
| ( ( ord_less_eq_set_val @ SV307 @ SV375 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3141]) ).
thf(3155,plain,
! [SV375: set_val,SV307: set_val,SV204: set_val,SV80: set_val] :
( ( ( ~ ~ ( ord_less_eq_set_val @ SV80 @ SV204 )
| ~ ~ ( ord_less_eq_set_val @ SV307 @ SV375 ) )
= $false )
| ( ( SV204 = SV375 )
= $true )
| ( ( ord_less_eq_set_val @ SV80 @ SV204 )
= $true )
| ( ( ord_less_eq_set_val @ SV307 @ SV375 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3142]) ).
thf(3156,plain,
! [SV131: set_val > set_val,SV424: set_val,SV343: set_val > set_val,SV423: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV423 @ ( SV343 @ SV424 ) )
| ~ ( ord_less_eq_set_val @ ( SV131 @ SV423 ) @ SV424 ) )
= $false )
| ( ( ord_less_eq_set_val @ SV423 @ ( SV343 @ SV424 ) )
= $false )
| ( ( ord_less_eq_set_val @ ( SV131 @ ( sK16_SY992 @ SV131 @ SV343 ) ) @ ( sK19_SY1048 @ SV343 @ SV131 ) )
= $true )
| ( ( ord_less_eq_set_val @ ( sK16_SY992 @ SV131 @ SV343 ) @ ( SV343 @ ( sK19_SY1048 @ SV343 @ SV131 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3143]) ).
thf(3157,plain,
! [SV131: set_val > set_val,SV424: set_val,SV343: set_val > set_val,SV423: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV423 @ ( SV343 @ SV424 ) )
| ~ ( ord_less_eq_set_val @ ( SV131 @ SV423 ) @ SV424 ) )
= $false )
| ( ( ord_less_eq_set_val @ ( SV131 @ SV423 ) @ SV424 )
= $false )
| ( ( ord_less_eq_set_val @ ( SV131 @ ( sK16_SY992 @ SV131 @ SV343 ) ) @ ( sK19_SY1048 @ SV343 @ SV131 ) )
= $true )
| ( ( ord_less_eq_set_val @ ( sK16_SY992 @ SV131 @ SV343 ) @ ( SV343 @ ( sK19_SY1048 @ SV343 @ SV131 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3144]) ).
thf(3158,plain,
! [SV131: set_val > set_val,SV426: set_val,SV343: set_val > set_val,SV425: set_val] :
( ( ( ( ord_less_eq_set_val @ SV425 @ ( SV343 @ SV426 ) )
| ( ord_less_eq_set_val @ ( SV131 @ SV425 ) @ SV426 ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_val @ SV425 @ ( SV343 @ SV426 ) )
| ~ ( ord_less_eq_set_val @ ( SV131 @ SV425 ) @ SV426 ) ) )
= $true )
| ( ( ord_less_eq_set_val @ ( sK16_SY992 @ SV131 @ SV343 ) @ ( SV343 @ ( sK19_SY1048 @ SV343 @ SV131 ) ) )
= $false )
| ( ( ord_less_eq_set_val @ ( SV131 @ ( sK16_SY992 @ SV131 @ SV343 ) ) @ ( sK19_SY1048 @ SV343 @ SV131 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3145]) ).
thf(3159,plain,
! [SV375: set_val,SV307: set_val,SV204: set_val,SV80: set_val] :
( ( ( ord_less_eq_set_val @ SV80 @ SV204 )
= $false )
| ( ( SV80 = SV307 )
= $true )
| ( ( SV80 = SV307 )
= $false )
| ( ( SV204 = SV375 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3150]) ).
thf(3160,plain,
! [SV204: set_val,SV80: set_val,SV375: set_val,SV307: set_val] :
( ( ( ord_less_eq_set_val @ SV307 @ SV375 )
= $false )
| ( ( SV80 = SV307 )
= $true )
| ( ( SV80 = SV307 )
= $false )
| ( ( SV204 = SV375 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3151]) ).
thf(3161,plain,
! [SV307: set_val,SV375: set_val,SV204: set_val,SV80: set_val] :
( ( ( ord_less_eq_set_val @ SV80 @ SV204 )
= $false )
| ( ( SV204 = SV375 )
= $true )
| ( ( SV80 = SV307 )
= $false )
| ( ( SV204 = SV375 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3152]) ).
thf(3162,plain,
! [SV80: set_val,SV204: set_val,SV375: set_val,SV307: set_val] :
( ( ( ord_less_eq_set_val @ SV307 @ SV375 )
= $false )
| ( ( SV204 = SV375 )
= $true )
| ( ( SV80 = SV307 )
= $false )
| ( ( SV204 = SV375 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3153]) ).
thf(3163,plain,
! [SV375: set_val,SV307: set_val,SV204: set_val,SV80: set_val] :
( ( ( ~ ~ ( ord_less_eq_set_val @ SV80 @ SV204 ) )
= $false )
| ( ( SV80 = SV307 )
= $true )
| ( ( ord_less_eq_set_val @ SV80 @ SV204 )
= $true )
| ( ( ord_less_eq_set_val @ SV307 @ SV375 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3154]) ).
thf(3164,plain,
! [SV204: set_val,SV80: set_val,SV375: set_val,SV307: set_val] :
( ( ( ~ ~ ( ord_less_eq_set_val @ SV307 @ SV375 ) )
= $false )
| ( ( SV80 = SV307 )
= $true )
| ( ( ord_less_eq_set_val @ SV80 @ SV204 )
= $true )
| ( ( ord_less_eq_set_val @ SV307 @ SV375 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3154]) ).
thf(3165,plain,
! [SV307: set_val,SV375: set_val,SV204: set_val,SV80: set_val] :
( ( ( ~ ~ ( ord_less_eq_set_val @ SV80 @ SV204 ) )
= $false )
| ( ( SV204 = SV375 )
= $true )
| ( ( ord_less_eq_set_val @ SV80 @ SV204 )
= $true )
| ( ( ord_less_eq_set_val @ SV307 @ SV375 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3155]) ).
thf(3166,plain,
! [SV80: set_val,SV204: set_val,SV375: set_val,SV307: set_val] :
( ( ( ~ ~ ( ord_less_eq_set_val @ SV307 @ SV375 ) )
= $false )
| ( ( SV204 = SV375 )
= $true )
| ( ( ord_less_eq_set_val @ SV80 @ SV204 )
= $true )
| ( ( ord_less_eq_set_val @ SV307 @ SV375 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3155]) ).
thf(3167,plain,
! [SV131: set_val > set_val,SV424: set_val,SV343: set_val > set_val,SV423: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV423 @ ( SV343 @ SV424 ) ) )
= $false )
| ( ( ord_less_eq_set_val @ SV423 @ ( SV343 @ SV424 ) )
= $false )
| ( ( ord_less_eq_set_val @ ( SV131 @ ( sK16_SY992 @ SV131 @ SV343 ) ) @ ( sK19_SY1048 @ SV343 @ SV131 ) )
= $true )
| ( ( ord_less_eq_set_val @ ( sK16_SY992 @ SV131 @ SV343 ) @ ( SV343 @ ( sK19_SY1048 @ SV343 @ SV131 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3156]) ).
thf(3168,plain,
! [SV343: set_val > set_val,SV424: set_val,SV423: set_val,SV131: set_val > set_val] :
( ( ( ~ ( ord_less_eq_set_val @ ( SV131 @ SV423 ) @ SV424 ) )
= $false )
| ( ( ord_less_eq_set_val @ SV423 @ ( SV343 @ SV424 ) )
= $false )
| ( ( ord_less_eq_set_val @ ( SV131 @ ( sK16_SY992 @ SV131 @ SV343 ) ) @ ( sK19_SY1048 @ SV343 @ SV131 ) )
= $true )
| ( ( ord_less_eq_set_val @ ( sK16_SY992 @ SV131 @ SV343 ) @ ( SV343 @ ( sK19_SY1048 @ SV343 @ SV131 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3156]) ).
thf(3169,plain,
! [SV131: set_val > set_val,SV424: set_val,SV343: set_val > set_val,SV423: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV423 @ ( SV343 @ SV424 ) ) )
= $false )
| ( ( ord_less_eq_set_val @ ( SV131 @ SV423 ) @ SV424 )
= $false )
| ( ( ord_less_eq_set_val @ ( SV131 @ ( sK16_SY992 @ SV131 @ SV343 ) ) @ ( sK19_SY1048 @ SV343 @ SV131 ) )
= $true )
| ( ( ord_less_eq_set_val @ ( sK16_SY992 @ SV131 @ SV343 ) @ ( SV343 @ ( sK19_SY1048 @ SV343 @ SV131 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3157]) ).
thf(3170,plain,
! [SV343: set_val > set_val,SV424: set_val,SV423: set_val,SV131: set_val > set_val] :
( ( ( ~ ( ord_less_eq_set_val @ ( SV131 @ SV423 ) @ SV424 ) )
= $false )
| ( ( ord_less_eq_set_val @ ( SV131 @ SV423 ) @ SV424 )
= $false )
| ( ( ord_less_eq_set_val @ ( SV131 @ ( sK16_SY992 @ SV131 @ SV343 ) ) @ ( sK19_SY1048 @ SV343 @ SV131 ) )
= $true )
| ( ( ord_less_eq_set_val @ ( sK16_SY992 @ SV131 @ SV343 ) @ ( SV343 @ ( sK19_SY1048 @ SV343 @ SV131 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[3157]) ).
thf(3171,plain,
! [SV131: set_val > set_val,SV426: set_val,SV343: set_val > set_val,SV425: set_val] :
( ( ( ord_less_eq_set_val @ SV425 @ ( SV343 @ SV426 ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_val @ SV425 @ ( SV343 @ SV426 ) )
| ~ ( ord_less_eq_set_val @ ( SV131 @ SV425 ) @ SV426 ) ) )
= $true )
| ( ( ord_less_eq_set_val @ ( sK16_SY992 @ SV131 @ SV343 ) @ ( SV343 @ ( sK19_SY1048 @ SV343 @ SV131 ) ) )
= $false )
| ( ( ord_less_eq_set_val @ ( SV131 @ ( sK16_SY992 @ SV131 @ SV343 ) ) @ ( sK19_SY1048 @ SV343 @ SV131 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3158]) ).
thf(3172,plain,
! [SV343: set_val > set_val,SV426: set_val,SV425: set_val,SV131: set_val > set_val] :
( ( ( ord_less_eq_set_val @ ( SV131 @ SV425 ) @ SV426 )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_val @ SV425 @ ( SV343 @ SV426 ) )
| ~ ( ord_less_eq_set_val @ ( SV131 @ SV425 ) @ SV426 ) ) )
= $true )
| ( ( ord_less_eq_set_val @ ( sK16_SY992 @ SV131 @ SV343 ) @ ( SV343 @ ( sK19_SY1048 @ SV343 @ SV131 ) ) )
= $false )
| ( ( ord_less_eq_set_val @ ( SV131 @ ( sK16_SY992 @ SV131 @ SV343 ) ) @ ( sK19_SY1048 @ SV343 @ SV131 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3158]) ).
thf(3173,plain,
! [SV375: set_val,SV307: set_val,SV204: set_val,SV80: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV80 @ SV204 ) )
= $true )
| ( ( SV80 = SV307 )
= $true )
| ( ( ord_less_eq_set_val @ SV80 @ SV204 )
= $true )
| ( ( ord_less_eq_set_val @ SV307 @ SV375 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3163]) ).
thf(3174,plain,
! [SV204: set_val,SV80: set_val,SV375: set_val,SV307: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV307 @ SV375 ) )
= $true )
| ( ( SV80 = SV307 )
= $true )
| ( ( ord_less_eq_set_val @ SV80 @ SV204 )
= $true )
| ( ( ord_less_eq_set_val @ SV307 @ SV375 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3164]) ).
thf(3175,plain,
! [SV307: set_val,SV375: set_val,SV204: set_val,SV80: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV80 @ SV204 ) )
= $true )
| ( ( SV204 = SV375 )
= $true )
| ( ( ord_less_eq_set_val @ SV80 @ SV204 )
= $true )
| ( ( ord_less_eq_set_val @ SV307 @ SV375 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3165]) ).
thf(3176,plain,
! [SV80: set_val,SV204: set_val,SV375: set_val,SV307: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV307 @ SV375 ) )
= $true )
| ( ( SV204 = SV375 )
= $true )
| ( ( ord_less_eq_set_val @ SV80 @ SV204 )
= $true )
| ( ( ord_less_eq_set_val @ SV307 @ SV375 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3166]) ).
thf(3177,plain,
! [SV131: set_val > set_val,SV424: set_val,SV343: set_val > set_val,SV423: set_val] :
( ( ( ord_less_eq_set_val @ SV423 @ ( SV343 @ SV424 ) )
= $true )
| ( ( ord_less_eq_set_val @ SV423 @ ( SV343 @ SV424 ) )
= $false )
| ( ( ord_less_eq_set_val @ ( SV131 @ ( sK16_SY992 @ SV131 @ SV343 ) ) @ ( sK19_SY1048 @ SV343 @ SV131 ) )
= $true )
| ( ( ord_less_eq_set_val @ ( sK16_SY992 @ SV131 @ SV343 ) @ ( SV343 @ ( sK19_SY1048 @ SV343 @ SV131 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3167]) ).
thf(3178,plain,
! [SV343: set_val > set_val,SV424: set_val,SV423: set_val,SV131: set_val > set_val] :
( ( ( ord_less_eq_set_val @ ( SV131 @ SV423 ) @ SV424 )
= $true )
| ( ( ord_less_eq_set_val @ SV423 @ ( SV343 @ SV424 ) )
= $false )
| ( ( ord_less_eq_set_val @ ( SV131 @ ( sK16_SY992 @ SV131 @ SV343 ) ) @ ( sK19_SY1048 @ SV343 @ SV131 ) )
= $true )
| ( ( ord_less_eq_set_val @ ( sK16_SY992 @ SV131 @ SV343 ) @ ( SV343 @ ( sK19_SY1048 @ SV343 @ SV131 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3168]) ).
thf(3179,plain,
! [SV131: set_val > set_val,SV424: set_val,SV343: set_val > set_val,SV423: set_val] :
( ( ( ord_less_eq_set_val @ SV423 @ ( SV343 @ SV424 ) )
= $true )
| ( ( ord_less_eq_set_val @ ( SV131 @ SV423 ) @ SV424 )
= $false )
| ( ( ord_less_eq_set_val @ ( SV131 @ ( sK16_SY992 @ SV131 @ SV343 ) ) @ ( sK19_SY1048 @ SV343 @ SV131 ) )
= $true )
| ( ( ord_less_eq_set_val @ ( sK16_SY992 @ SV131 @ SV343 ) @ ( SV343 @ ( sK19_SY1048 @ SV343 @ SV131 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3169]) ).
thf(3180,plain,
! [SV343: set_val > set_val,SV424: set_val,SV423: set_val,SV131: set_val > set_val] :
( ( ( ord_less_eq_set_val @ ( SV131 @ SV423 ) @ SV424 )
= $true )
| ( ( ord_less_eq_set_val @ ( SV131 @ SV423 ) @ SV424 )
= $false )
| ( ( ord_less_eq_set_val @ ( SV131 @ ( sK16_SY992 @ SV131 @ SV343 ) ) @ ( sK19_SY1048 @ SV343 @ SV131 ) )
= $true )
| ( ( ord_less_eq_set_val @ ( sK16_SY992 @ SV131 @ SV343 ) @ ( SV343 @ ( sK19_SY1048 @ SV343 @ SV131 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[3170]) ).
thf(3181,plain,
! [SV131: set_val > set_val,SV426: set_val,SV343: set_val > set_val,SV425: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV425 @ ( SV343 @ SV426 ) )
| ~ ( ord_less_eq_set_val @ ( SV131 @ SV425 ) @ SV426 ) )
= $false )
| ( ( ord_less_eq_set_val @ SV425 @ ( SV343 @ SV426 ) )
= $false )
| ( ( ord_less_eq_set_val @ ( sK16_SY992 @ SV131 @ SV343 ) @ ( SV343 @ ( sK19_SY1048 @ SV343 @ SV131 ) ) )
= $false )
| ( ( ord_less_eq_set_val @ ( SV131 @ ( sK16_SY992 @ SV131 @ SV343 ) ) @ ( sK19_SY1048 @ SV343 @ SV131 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3171]) ).
thf(3182,plain,
! [SV131: set_val > set_val,SV426: set_val,SV343: set_val > set_val,SV425: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV425 @ ( SV343 @ SV426 ) )
| ~ ( ord_less_eq_set_val @ ( SV131 @ SV425 ) @ SV426 ) )
= $false )
| ( ( ord_less_eq_set_val @ ( SV131 @ SV425 ) @ SV426 )
= $false )
| ( ( ord_less_eq_set_val @ ( sK16_SY992 @ SV131 @ SV343 ) @ ( SV343 @ ( sK19_SY1048 @ SV343 @ SV131 ) ) )
= $false )
| ( ( ord_less_eq_set_val @ ( SV131 @ ( sK16_SY992 @ SV131 @ SV343 ) ) @ ( sK19_SY1048 @ SV343 @ SV131 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3172]) ).
thf(3183,plain,
! [SV375: set_val,SV307: set_val,SV204: set_val,SV80: set_val] :
( ( ( ord_less_eq_set_val @ SV80 @ SV204 )
= $false )
| ( ( SV80 = SV307 )
= $true )
| ( ( ord_less_eq_set_val @ SV80 @ SV204 )
= $true )
| ( ( ord_less_eq_set_val @ SV307 @ SV375 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3173]) ).
thf(3184,plain,
! [SV204: set_val,SV80: set_val,SV375: set_val,SV307: set_val] :
( ( ( ord_less_eq_set_val @ SV307 @ SV375 )
= $false )
| ( ( SV80 = SV307 )
= $true )
| ( ( ord_less_eq_set_val @ SV80 @ SV204 )
= $true )
| ( ( ord_less_eq_set_val @ SV307 @ SV375 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3174]) ).
thf(3185,plain,
! [SV307: set_val,SV375: set_val,SV204: set_val,SV80: set_val] :
( ( ( ord_less_eq_set_val @ SV80 @ SV204 )
= $false )
| ( ( SV204 = SV375 )
= $true )
| ( ( ord_less_eq_set_val @ SV80 @ SV204 )
= $true )
| ( ( ord_less_eq_set_val @ SV307 @ SV375 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3175]) ).
thf(3186,plain,
! [SV80: set_val,SV204: set_val,SV375: set_val,SV307: set_val] :
( ( ( ord_less_eq_set_val @ SV307 @ SV375 )
= $false )
| ( ( SV204 = SV375 )
= $true )
| ( ( ord_less_eq_set_val @ SV80 @ SV204 )
= $true )
| ( ( ord_less_eq_set_val @ SV307 @ SV375 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3176]) ).
thf(3187,plain,
! [SV131: set_val > set_val,SV426: set_val,SV343: set_val > set_val,SV425: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV425 @ ( SV343 @ SV426 ) ) )
= $false )
| ( ( ord_less_eq_set_val @ SV425 @ ( SV343 @ SV426 ) )
= $false )
| ( ( ord_less_eq_set_val @ ( sK16_SY992 @ SV131 @ SV343 ) @ ( SV343 @ ( sK19_SY1048 @ SV343 @ SV131 ) ) )
= $false )
| ( ( ord_less_eq_set_val @ ( SV131 @ ( sK16_SY992 @ SV131 @ SV343 ) ) @ ( sK19_SY1048 @ SV343 @ SV131 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3181]) ).
thf(3188,plain,
! [SV343: set_val > set_val,SV426: set_val,SV425: set_val,SV131: set_val > set_val] :
( ( ( ~ ( ord_less_eq_set_val @ ( SV131 @ SV425 ) @ SV426 ) )
= $false )
| ( ( ord_less_eq_set_val @ SV425 @ ( SV343 @ SV426 ) )
= $false )
| ( ( ord_less_eq_set_val @ ( sK16_SY992 @ SV131 @ SV343 ) @ ( SV343 @ ( sK19_SY1048 @ SV343 @ SV131 ) ) )
= $false )
| ( ( ord_less_eq_set_val @ ( SV131 @ ( sK16_SY992 @ SV131 @ SV343 ) ) @ ( sK19_SY1048 @ SV343 @ SV131 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3181]) ).
thf(3189,plain,
! [SV131: set_val > set_val,SV426: set_val,SV343: set_val > set_val,SV425: set_val] :
( ( ( ~ ( ord_less_eq_set_val @ SV425 @ ( SV343 @ SV426 ) ) )
= $false )
| ( ( ord_less_eq_set_val @ ( SV131 @ SV425 ) @ SV426 )
= $false )
| ( ( ord_less_eq_set_val @ ( sK16_SY992 @ SV131 @ SV343 ) @ ( SV343 @ ( sK19_SY1048 @ SV343 @ SV131 ) ) )
= $false )
| ( ( ord_less_eq_set_val @ ( SV131 @ ( sK16_SY992 @ SV131 @ SV343 ) ) @ ( sK19_SY1048 @ SV343 @ SV131 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3182]) ).
thf(3190,plain,
! [SV343: set_val > set_val,SV426: set_val,SV425: set_val,SV131: set_val > set_val] :
( ( ( ~ ( ord_less_eq_set_val @ ( SV131 @ SV425 ) @ SV426 ) )
= $false )
| ( ( ord_less_eq_set_val @ ( SV131 @ SV425 ) @ SV426 )
= $false )
| ( ( ord_less_eq_set_val @ ( sK16_SY992 @ SV131 @ SV343 ) @ ( SV343 @ ( sK19_SY1048 @ SV343 @ SV131 ) ) )
= $false )
| ( ( ord_less_eq_set_val @ ( SV131 @ ( sK16_SY992 @ SV131 @ SV343 ) ) @ ( sK19_SY1048 @ SV343 @ SV131 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[3182]) ).
thf(3191,plain,
! [SV131: set_val > set_val,SV426: set_val,SV343: set_val > set_val,SV425: set_val] :
( ( ( ord_less_eq_set_val @ SV425 @ ( SV343 @ SV426 ) )
= $true )
| ( ( ord_less_eq_set_val @ SV425 @ ( SV343 @ SV426 ) )
= $false )
| ( ( ord_less_eq_set_val @ ( sK16_SY992 @ SV131 @ SV343 ) @ ( SV343 @ ( sK19_SY1048 @ SV343 @ SV131 ) ) )
= $false )
| ( ( ord_less_eq_set_val @ ( SV131 @ ( sK16_SY992 @ SV131 @ SV343 ) ) @ ( sK19_SY1048 @ SV343 @ SV131 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3187]) ).
thf(3192,plain,
! [SV343: set_val > set_val,SV426: set_val,SV425: set_val,SV131: set_val > set_val] :
( ( ( ord_less_eq_set_val @ ( SV131 @ SV425 ) @ SV426 )
= $true )
| ( ( ord_less_eq_set_val @ SV425 @ ( SV343 @ SV426 ) )
= $false )
| ( ( ord_less_eq_set_val @ ( sK16_SY992 @ SV131 @ SV343 ) @ ( SV343 @ ( sK19_SY1048 @ SV343 @ SV131 ) ) )
= $false )
| ( ( ord_less_eq_set_val @ ( SV131 @ ( sK16_SY992 @ SV131 @ SV343 ) ) @ ( sK19_SY1048 @ SV343 @ SV131 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3188]) ).
thf(3193,plain,
! [SV131: set_val > set_val,SV426: set_val,SV343: set_val > set_val,SV425: set_val] :
( ( ( ord_less_eq_set_val @ SV425 @ ( SV343 @ SV426 ) )
= $true )
| ( ( ord_less_eq_set_val @ ( SV131 @ SV425 ) @ SV426 )
= $false )
| ( ( ord_less_eq_set_val @ ( sK16_SY992 @ SV131 @ SV343 ) @ ( SV343 @ ( sK19_SY1048 @ SV343 @ SV131 ) ) )
= $false )
| ( ( ord_less_eq_set_val @ ( SV131 @ ( sK16_SY992 @ SV131 @ SV343 ) ) @ ( sK19_SY1048 @ SV343 @ SV131 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3189]) ).
thf(3194,plain,
! [SV343: set_val > set_val,SV426: set_val,SV425: set_val,SV131: set_val > set_val] :
( ( ( ord_less_eq_set_val @ ( SV131 @ SV425 ) @ SV426 )
= $true )
| ( ( ord_less_eq_set_val @ ( SV131 @ SV425 ) @ SV426 )
= $false )
| ( ( ord_less_eq_set_val @ ( sK16_SY992 @ SV131 @ SV343 ) @ ( SV343 @ ( sK19_SY1048 @ SV343 @ SV131 ) ) )
= $false )
| ( ( ord_less_eq_set_val @ ( SV131 @ ( sK16_SY992 @ SV131 @ SV343 ) ) @ ( sK19_SY1048 @ SV343 @ SV131 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[3190]) ).
thf(3195,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[560,3194,3193,3192,3191,3186,3185,3184,3183,3180,3179,3178,3177,3162,3161,3160,3159,3149,3148,3147,3146,3132,3121,3120,3119,3115,3114,3113,3109,3107,3106,3105,3104,3102,3101,3099,3097,3093,3092,3091,3090,3088,3086,3084,3083,3080,3072,3070,3069,3063,3057,3056,3055,3054,3053,3052,3047,3046,3043,3041,3034,3033,3029,3028,3012,3009,3008,3007,3006,2998,2994,2988,2985,2983,2979,2977,2974,2969,2961,2959,2956,2954,2953,2952,2951,2950,2949,2948,2947,2946,2945,2944,2943,2942,2941,2940,2939,2938,2937,2936,2935,2934,2933,2932,2931,2930,2929,2928,2927,2926,2925,2924,2923,2922,2921,2920,2919,2918,2917,2916,2915,2914,2913,2912,2911,2910,2909,2908,2907,2898,2896,2894,2888,2885,2882,2875,2873,2870,2868,2863,2860,2858,2855,2800,2797,2796,2794,2791,2790,2789,2788,2785,2782,2781,2780,2779,2778,2775,2774,2773,2772,2769,2768,2765,2758,2757,2756,2755,2754,2751,2750,2749,2746,2745,2744,2743,2742,2741,2737,2736,2735,2734,2733,2731,2730,2728,2725,2722,2721,2718,2717,2714,2713,2712,2685,2682,2680,2679,2678,2677,2674,2673,2666,2664,2663,2662,2661,2659,2657,2653,2652,2651,2648,2644,2642,2640,2635,2633,2628,2617,2615,2613,2612,2607,2604,2600,2598,2596,2589,2587,2585,2581,2580,2579,2575,2574,2567,2559,2557,2530,2529,2528,2527,2526,2525,2524,2523,2517,2516,2515,2510,2501,2499,2497,2491,2481,2478,2475,2471,2470,2469,2468,2453,2452,2437,2436,2398,2396,2395,2393,2391,2390,2388,2386,2385,2383,2381,2380,2374,2373,2372,2371,2363,2358,2355,2352,2339,2338,2335,2332,2327,2318,2314,2310,2309,2308,2307,2306,2303,2300,2293,2288,2283,2277,2266,2263,2259,2256,2240,2239,2238,2237,2236,2235,2234,2233,2232,2231,2230,2229,2223,2217,2211,2205,2201,2197,2193,2190,2183,2180,2177,2117,2102,2098,2081,2080,2079,2078,2077,2075,2073,2071,2069,2068,2067,2066,2065,2063,2061,2059,2057,2056,2055,2054,2053,2051,2049,2047,1988,1953,1952,1951,1950,1939,1884,1883,1882,1881,1868,1867,1866,1865,1826,1825,1802,1723,1722,1721,1719,1718,1717,1704,1692,1686,1685,1683,1682,1679,1677,1676,1674,1673,1671,1670,1669,1667,1665,1657,1656,1654,1652,1636,1635,1627,1626,1598,1579,1578,1571,1569,1547,1533,1530,1503,1476,1473,1469,1457,1453,1448,1446,1437,1435,1431,1428,1424,1421,1420,1419,1418,1416,1407,1404,1393,1385,1382,1381,1380,1379,1372,1370,1367,1365,1352,1350,1348,1345,1343,1341,1339,1336,1334,1330,1327,1323,1322,1320,1316,1307,1302,1293,1276,1274,1259,1243,1234,1231,1229,1227,1225,1222,1211,1210,1207,1204,1177,1164,1157,1152,1140,1134,1119,1107,1098,1090,1088,1071,1069,1066,1064,1061,1049,1047,1045,1043,1041,1039,1037,1035,1033,1031,1029,907,906,882,869,862,857,845,839,826,814,805,796,781,779,776,774,765,761,757,755,752,750,748,746,743,741,739,738,737]) ).
thf(3196,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[3195]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ITP079^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.04 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.18 % Computer : n016.cluster.edu
% 0.11/0.18 % Model : x86_64 x86_64
% 0.11/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.18 % Memory : 8046.5625MB
% 0.11/0.18 % OS : Linux 6.8.0-71-generic
% 0.11/0.19 % CPULimit : 300
% 0.11/0.19 % WCLimit : 300
% 0.11/0.19 % DateTime : Tue Oct 6 11:22:17 UTC 2026
% 0.11/0.19 % CPUTime :
% 0.11/0.19 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 24.52/4.33 ..
% 24.52/4.33
% 24.52/4.33 No.of.Axioms: 130
% 24.52/4.33
% 24.52/4.33 Length.of.Defs: 0
% 24.52/4.33
% 24.52/4.33 Contains.Choice.Funs: true
% 24.52/4.33 ...............................................................................
% 24.52/4.33
% 24.52/4.33 ********************************
% 24.52/4.33 * All subproblems solved! *
% 24.52/4.33 ********************************
% 24.52/4.33 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:130,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:3195,loop_count:0,foatp_calls:1,translation:fof_full)
% 24.52/4.33
% 24.52/4.33 %**** Beginning of derivation protocol ****
% 24.52/4.33 % SZS output start CNFRefutation
% See solution above
% 24.52/4.34
% 24.52/4.34 %**** End of derivation protocol ****
% 24.52/4.34 %**** no. of clauses in derivation: 2967 ****
% 24.52/4.34 %**** clause counter: 3195 ****
% 24.52/4.34
% 24.52/4.34 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:130,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:3195,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------