%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : ITP161^1 : 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 : n002.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 10:24:26 AM UTC 2026
% Result : Theorem 27.60s 5.04s
% Output : CNFRefutation 5.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 79
% Syntax : Number of formulae : 1592 ( 513 unt; 0 typ; 0 def)
% Number of atoms : 12363 (4421 equ; 0 cnn)
% Maximal formula atoms : 5 ( 7 avg)
% Number of connectives : 17286 (2766 ~;3572 |; 12 &;10543 @)
% ( 0 <=>; 393 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Number of types : 27 ( 26 usr)
% Number of type conns : 865 ( 865 >; 0 *; 0 +; 0 <<)
% Number of symbols : 171 ( 168 usr; 12 con; 0-4 aty)
% Number of variables : 4387 ( 105 ^;4279 !; 3 ?;4387 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_a,type,
a: $tType ).
thf(tp_b,type,
b: $tType ).
thf(tp_produc1587512412nres_b,type,
produc1587512412nres_b: $tType ).
thf(tp_produc1609974940nres_a,type,
produc1609974940nres_a: $tType ).
thf(tp_product_prod_a_a,type,
product_prod_a_a: $tType ).
thf(tp_product_prod_a_b,type,
product_prod_a_b: $tType ).
thf(tp_product_prod_b_a,type,
product_prod_b_a: $tType ).
thf(tp_product_prod_b_b,type,
product_prod_b_b: $tType ).
thf(tp_product_unit,type,
product_unit: $tType ).
thf(tp_refine1811374551od_a_b,type,
refine1811374551od_a_b: $tType ).
thf(tp_refine2031285398od_b_b,type,
refine2031285398od_b_b: $tType ).
thf(tp_refine424419629nres_a,type,
refine424419629nres_a: $tType ).
thf(tp_refine432681134nres_b,type,
refine432681134nres_b: $tType ).
thf(tp_refine671810262od_a_a,type,
refine671810262od_a_a: $tType ).
thf(tp_refine787176636t_unit,type,
refine787176636t_unit: $tType ).
thf(tp_refine891721109od_b_a,type,
refine891721109od_b_a: $tType ).
thf(tp_set_Pr1628433942t_unit,type,
set_Pr1628433942t_unit: $tType ).
thf(tp_set_Pr1707992533t_unit,type,
set_Pr1707992533t_unit: $tType ).
thf(tp_set_Pr451126599t_unit,type,
set_Pr451126599t_unit: $tType ).
thf(tp_set_Product_prod_a_a,type,
set_Product_prod_a_a: $tType ).
thf(tp_set_Product_prod_a_b,type,
set_Product_prod_a_b: $tType ).
thf(tp_set_Product_prod_b_a,type,
set_Product_prod_b_a: $tType ).
thf(tp_set_Product_prod_b_b,type,
set_Product_prod_b_b: $tType ).
thf(tp_set_Product_unit,type,
set_Product_unit: $tType ).
thf(tp_set_a,type,
set_a: $tType ).
thf(tp_set_b,type,
set_b: $tType ).
thf(tp_collec1473625041od_b_a,type,
collec1473625041od_b_a: ( product_prod_b_a > $o ) > set_Product_prod_b_a ).
thf(tp_collec1481886546od_b_b,type,
collec1481886546od_b_b: ( product_prod_b_b > $o ) > set_Product_prod_b_b ).
thf(tp_collec645855634od_a_a,type,
collec645855634od_a_a: ( product_prod_a_a > $o ) > set_Product_prod_a_a ).
thf(tp_collec654117139od_a_b,type,
collec654117139od_a_b: ( product_prod_a_b > $o ) > set_Product_prod_a_b ).
thf(tp_collect_Product_unit,type,
collect_Product_unit: ( product_unit > $o ) > set_Product_unit ).
thf(tp_collect_a,type,
collect_a: ( a > $o ) > set_a ).
thf(tp_collect_b,type,
collect_b: ( b > $o ) > set_b ).
thf(tp_domain799550107t_unit,type,
domain799550107t_unit: set_Pr1628433942t_unit > set_a ).
thf(tp_domain918802906t_unit,type,
domain918802906t_unit: set_Pr1707992533t_unit > set_b ).
thf(tp_domain_a_a,type,
domain_a_a: set_Product_prod_a_a > set_a ).
thf(tp_domain_a_b,type,
domain_a_b: set_Product_prod_a_b > set_a ).
thf(tp_domain_b_a,type,
domain_b_a: set_Product_prod_b_a > set_b ).
thf(tp_domain_b_b,type,
domain_b_b: set_Product_prod_b_b > set_b ).
thf(tp_f,type,
f: a > refine432681134nres_b ).
thf(tp_if_Ref1369692790t_unit,type,
if_Ref1369692790t_unit: $o > refine787176636t_unit > refine787176636t_unit > refine787176636t_unit ).
thf(tp_if_Ref1724547303nres_a,type,
if_Ref1724547303nres_a: $o > refine424419629nres_a > refine424419629nres_a > refine424419629nres_a ).
thf(tp_if_Ref1732808808nres_b,type,
if_Ref1732808808nres_b: $o > refine432681134nres_b > refine432681134nres_b > refine432681134nres_b ).
thf(tp_if_o_R1705037948nres_a,type,
if_o_R1705037948nres_a: $o > ( $o > refine424419629nres_a ) > ( $o > refine424419629nres_a ) > $o > refine424419629nres_a ).
thf(tp_if_o_R697118589nres_b,type,
if_o_R697118589nres_b: $o > ( $o > refine432681134nres_b ) > ( $o > refine432681134nres_b ) > $o > refine432681134nres_b ).
thf(tp_if_set_a,type,
if_set_a: $o > set_a > set_a > set_a ).
thf(tp_if_set_b,type,
if_set_b: $o > set_b > set_b > set_b ).
thf(tp_image_a_a,type,
image_a_a: set_Product_prod_a_a > set_a > set_a ).
thf(tp_image_a_b,type,
image_a_b: set_Product_prod_a_b > set_a > set_b ).
thf(tp_image_b_a,type,
image_b_a: set_Product_prod_b_a > set_b > set_a ).
thf(tp_image_b_b,type,
image_b_b: set_Product_prod_b_b > set_b > set_b ).
thf(tp_m,type,
m: refine432681134nres_b ).
thf(tp_member1277678991od_b_a,type,
member1277678991od_b_a: product_prod_b_a > set_Product_prod_b_a > $o ).
thf(tp_member1285940496od_b_b,type,
member1285940496od_b_b: product_prod_b_b > set_Product_prod_b_b > $o ).
thf(tp_member449909584od_a_a,type,
member449909584od_a_a: product_prod_a_a > set_Product_prod_a_a > $o ).
thf(tp_member458171089od_a_b,type,
member458171089od_a_b: product_prod_a_b > set_Product_prod_a_b > $o ).
thf(tp_member_Product_unit,type,
member_Product_unit: product_unit > set_Product_unit > $o ).
thf(tp_member_a,type,
member_a: a > set_a > $o ).
thf(tp_member_b,type,
member_b: b > set_b > $o ).
thf(tp_ord_le1051254044t_unit,type,
ord_le1051254044t_unit: refine787176636t_unit > refine787176636t_unit > $o ).
thf(tp_ord_le1135777269od_b_a,type,
ord_le1135777269od_b_a: refine891721109od_b_a > refine891721109od_b_a > $o ).
thf(tp_ord_le127857910od_b_b,type,
ord_le127857910od_b_b: refine2031285398od_b_b > refine2031285398od_b_b > $o ).
thf(tp_ord_le1656162903nres_b,type,
ord_le1656162903nres_b: ( $o > refine432681134nres_b ) > ( $o > refine432681134nres_b ) > $o ).
thf(tp_ord_le2055430711od_a_b,type,
ord_le2055430711od_a_b: refine1811374551od_a_b > refine1811374551od_a_b > $o ).
thf(tp_ord_le516598614nres_a,type,
ord_le516598614nres_a: ( $o > refine424419629nres_a ) > ( $o > refine424419629nres_a ) > $o ).
thf(tp_ord_le519537037nres_a,type,
ord_le519537037nres_a: refine424419629nres_a > refine424419629nres_a > $o ).
thf(tp_ord_le527798542nres_b,type,
ord_le527798542nres_b: refine432681134nres_b > refine432681134nres_b > $o ).
thf(tp_ord_le915866422od_a_a,type,
ord_le915866422od_a_a: refine671810262od_a_a > refine671810262od_a_a > $o ).
thf(tp_ord_less_eq_set_a,type,
ord_less_eq_set_a: set_a > set_a > $o ).
thf(tp_ord_less_eq_set_b,type,
ord_less_eq_set_b: set_b > set_b > $o ).
thf(tp_order_1714329108nres_a,type,
order_1714329108nres_a: ( refine424419629nres_a > $o ) > refine424419629nres_a ).
thf(tp_order_1722590613nres_b,type,
order_1722590613nres_b: ( refine432681134nres_b > $o ) > refine432681134nres_b ).
thf(tp_partia1658438072t_unit,type,
partia1658438072t_unit: refine787176636t_unit > refine787176636t_unit > refine787176636t_unit > $o ).
thf(tp_partia906949161nres_a,type,
partia906949161nres_a: refine424419629nres_a > refine424419629nres_a > refine424419629nres_a > $o ).
thf(tp_partia915210666nres_b,type,
partia915210666nres_b: refine432681134nres_b > refine432681134nres_b > refine432681134nres_b > $o ).
thf(tp_phi,type,
phi: a > $o ).
thf(tp_produc1136923598nres_a,type,
produc1136923598nres_a: refine424419629nres_a > refine424419629nres_a > produc1609974940nres_a ).
thf(tp_produc2130641934nres_b,type,
produc2130641934nres_b: refine432681134nres_b > refine432681134nres_b > produc1587512412nres_b ).
thf(tp_product_Pair_a_a,type,
product_Pair_a_a: a > a > product_prod_a_a ).
thf(tp_product_Pair_a_b,type,
product_Pair_a_b: a > b > product_prod_a_b ).
thf(tp_product_Pair_b_a,type,
product_Pair_b_a: b > a > product_prod_b_a ).
thf(tp_product_Pair_b_b,type,
product_Pair_b_b: b > b > product_prod_b_b ).
thf(tp_refine1001002027nres_a,type,
refine1001002027nres_a: refine424419629nres_a > a > $o ).
thf(tp_refine1001002028nres_b,type,
refine1001002028nres_b: refine432681134nres_b > b > $o ).
thf(tp_refine1136779702un_a_a,type,
refine1136779702un_a_a: set_Product_prod_a_a > refine424419629nres_a > refine424419629nres_a ).
thf(tp_refine1136779703un_a_b,type,
refine1136779703un_a_b: set_Product_prod_a_b > refine424419629nres_a > refine432681134nres_b ).
thf(tp_refine119808503unit_a,type,
refine119808503unit_a: refine787176636t_unit > ( product_unit > refine424419629nres_a ) > refine424419629nres_a ).
thf(tp_refine119808504unit_b,type,
refine119808504unit_b: refine787176636t_unit > ( product_unit > refine432681134nres_b ) > refine432681134nres_b ).
thf(tp_refine1198353288_RES_a,type,
refine1198353288_RES_a: set_a > refine424419629nres_a ).
thf(tp_refine1198353289_RES_b,type,
refine1198353289_RES_b: set_b > refine432681134nres_b ).
thf(tp_refine1206730187od_b_a,type,
refine1206730187od_b_a: refine891721109od_b_a > product_prod_b_a > $o ).
thf(tp_refine1208325748t_unit,type,
refine1208325748t_unit: refine787176636t_unit > set_Product_unit ).
thf(tp_refine1214991692od_b_b,type,
refine1214991692od_b_b: refine2031285398od_b_b > product_prod_b_b > $o ).
thf(tp_refine122110612un_b_a,type,
refine122110612un_b_a: set_Product_prod_b_a > refine424419629nres_a > refine432681134nres_b ).
thf(tp_refine122110613un_b_b,type,
refine122110613un_b_b: set_Product_prod_b_b > refine432681134nres_b > refine432681134nres_b ).
thf(tp_refine1264602245nd_b_a,type,
refine1264602245nd_b_a: refine432681134nres_b > ( b > refine424419629nres_a ) > refine424419629nres_a ).
thf(tp_refine1264602246nd_b_b,type,
refine1264602246nd_b_b: refine432681134nres_b > ( b > refine432681134nres_b ) > refine432681134nres_b ).
thf(tp_refine1312857699nres_a,type,
refine1312857699nres_a: refine424419629nres_a > a > $o ).
thf(tp_refine1312857700nres_b,type,
refine1312857700nres_b: refine432681134nres_b > b > $o ).
thf(tp_refine1420258419t_unit,type,
refine1420258419t_unit: product_unit > refine787176636t_unit ).
thf(tp_refine1441824853un_a_a,type,
refine1441824853un_a_a: set_Product_prod_a_a > refine424419629nres_a > refine424419629nres_a ).
thf(tp_refine1441824854un_a_b,type,
refine1441824854un_a_b: set_Product_prod_a_b > refine432681134nres_b > refine424419629nres_a ).
thf(tp_refine1450221040od_b_a,type,
refine1450221040od_b_a: set_Product_prod_b_a > refine891721109od_b_a ).
thf(tp_refine1458482545od_b_b,type,
refine1458482545od_b_b: set_Product_prod_b_b > refine2031285398od_b_b ).
thf(tp_refine1607584204t_unit,type,
refine1607584204t_unit: refine787176636t_unit ).
thf(tp_refine1777164439t_unit,type,
refine1777164439t_unit: set_Product_unit > refine787176636t_unit ).
thf(tp_refine1822134885_RES_a,type,
refine1822134885_RES_a: refine424419629nres_a > set_a ).
thf(tp_refine1822134886_RES_b,type,
refine1822134886_RES_b: refine432681134nres_b > set_b ).
thf(tp_refine1964549109un_b_a,type,
refine1964549109un_b_a: set_Product_prod_b_a > refine432681134nres_b > refine424419629nres_a ).
thf(tp_refine1964549110un_b_b,type,
refine1964549110un_b_b: set_Product_prod_b_b > refine432681134nres_b > refine432681134nres_b ).
thf(tp_refine2021053540t_unit,type,
refine2021053540t_unit: set_Pr1628433942t_unit > refine787176636t_unit > refine424419629nres_a ).
thf(tp_refine2039610767ASSERT,type,
refine2039610767ASSERT: $o > refine787176636t_unit ).
thf(tp_refine2063221604TURN_a,type,
refine2063221604TURN_a: a > refine424419629nres_a ).
thf(tp_refine2063221605TURN_b,type,
refine2063221605TURN_b: b > refine432681134nres_b ).
thf(tp_refine2140306339t_unit,type,
refine2140306339t_unit: set_Pr1707992533t_unit > refine787176636t_unit > refine432681134nres_b ).
thf(tp_refine216248468t_unit,type,
refine216248468t_unit: refine432681134nres_b > ( b > refine787176636t_unit ) > refine787176636t_unit ).
thf(tp_refine341651653t_unit,type,
refine341651653t_unit: set_Pr1628433942t_unit > refine424419629nres_a > refine787176636t_unit ).
thf(tp_refine378960780od_a_a,type,
refine378960780od_a_a: refine671810262od_a_a > product_prod_a_a > $o ).
thf(tp_refine387222285od_a_b,type,
refine387222285od_a_b: refine1811374551od_a_b > product_prod_a_b > $o ).
thf(tp_refine412683989fail_a,type,
refine412683989fail_a: refine424419629nres_a > $o ).
thf(tp_refine412683990fail_b,type,
refine412683990fail_b: refine432681134nres_b > $o ).
thf(tp_refine436832838nd_a_a,type,
refine436832838nd_a_a: refine424419629nres_a > ( a > refine424419629nres_a ) > refine424419629nres_a ).
thf(tp_refine436832839nd_a_b,type,
refine436832839nd_a_b: refine424419629nres_a > ( a > refine432681134nres_b ) > refine432681134nres_b ).
thf(tp_refine460904452t_unit,type,
refine460904452t_unit: set_Pr1707992533t_unit > refine432681134nres_b > refine787176636t_unit ).
thf(tp_refine464223677AILi_a,type,
refine464223677AILi_a: refine424419629nres_a ).
thf(tp_refine464223678AILi_b,type,
refine464223678AILi_b: refine432681134nres_b ).
thf(tp_refine558004794t_unit,type,
refine558004794t_unit: refine787176636t_unit > product_unit > $o ).
thf(tp_refine579265252t_unit,type,
refine579265252t_unit: refine787176636t_unit > $o ).
thf(tp_refine622451633od_a_a,type,
refine622451633od_a_a: set_Product_prod_a_a > refine671810262od_a_a ).
thf(tp_refine630713138od_a_b,type,
refine630713138od_a_b: set_Product_prod_a_b > refine1811374551od_a_b ).
thf(tp_refine681446406t_unit,type,
refine681446406t_unit: refine787176636t_unit > ( product_unit > refine787176636t_unit ) > refine787176636t_unit ).
thf(tp_refine838861686t_unit,type,
refine838861686t_unit: set_Pr451126599t_unit > refine787176636t_unit > refine787176636t_unit ).
thf(tp_refine944483349t_unit,type,
refine944483349t_unit: set_Pr451126599t_unit > refine787176636t_unit > refine787176636t_unit ).
thf(tp_refine96995669t_unit,type,
refine96995669t_unit: refine424419629nres_a > ( a > refine787176636t_unit ) > refine787176636t_unit ).
thf(tp_refine983493746t_unit,type,
refine983493746t_unit: refine787176636t_unit > product_unit > $o ).
thf(tp_refine988994910_a_a_b,type,
refine988994910_a_a_b: refine671810262od_a_a > ( product_prod_a_a > refine432681134nres_b ) > refine432681134nres_b ).
thf(tp_sK10_SY275,type,
sK10_SY275: refine424419629nres_a > ( refine424419629nres_a > $o ) > set_a ).
thf(tp_sK11_SY514,type,
sK11_SY514: ( a > $o ) > ( a > $o ) > a ).
thf(tp_sK12_SY547,type,
sK12_SY547: refine424419629nres_a > ( a > $o ) > ( a > $o ) > a ).
thf(tp_sK13_SY528,type,
sK13_SY528: ( refine432681134nres_b > $o ) > refine432681134nres_b > ( refine432681134nres_b > $o ) > refine432681134nres_b ).
thf(tp_sK14_SY284,type,
sK14_SY284: refine424419629nres_a > refine424419629nres_a > ( refine424419629nres_a > refine424419629nres_a > $o ) > set_a ).
thf(tp_sK15_SY310,type,
sK15_SY310: refine424419629nres_a > refine424419629nres_a > ( refine424419629nres_a > refine424419629nres_a > $o ) > set_a ).
thf(tp_sK16_SY378,type,
sK16_SY378: refine424419629nres_a > refine424419629nres_a > ( refine424419629nres_a > refine424419629nres_a > $o ) > set_a ).
thf(tp_sK17_SY638,type,
sK17_SY638: refine424419629nres_a > refine424419629nres_a > ( refine424419629nres_a > refine424419629nres_a > $o ) > set_a ).
thf(tp_sK18_SY554,type,
sK18_SY554: refine432681134nres_b > refine424419629nres_a > refine432681134nres_b > ( refine432681134nres_b > refine424419629nres_a ) > refine432681134nres_b ).
thf(tp_sK19_SY557,type,
sK19_SY557: refine432681134nres_b > refine432681134nres_b > refine432681134nres_b > ( refine432681134nres_b > refine432681134nres_b ) > refine432681134nres_b ).
thf(tp_sK1_SY442,type,
sK1_SY442: ( a > $o ) > ( a > $o ) > a ).
thf(tp_sK20_SY569,type,
sK20_SY569: refine432681134nres_b > refine432681134nres_b > refine432681134nres_b > ( refine432681134nres_b > refine432681134nres_b ) > refine432681134nres_b ).
thf(tp_sK21_SY474,type,
sK21_SY474: refine424419629nres_a > refine424419629nres_a > refine432681134nres_b > ( refine424419629nres_a > refine432681134nres_b ) > refine424419629nres_a ).
thf(tp_sK22_SY485,type,
sK22_SY485: refine432681134nres_b > refine432681134nres_b > refine424419629nres_a > ( refine432681134nres_b > refine424419629nres_a ) > refine432681134nres_b ).
thf(tp_sK23_SY489,type,
sK23_SY489: refine432681134nres_b > refine432681134nres_b > refine432681134nres_b > ( refine432681134nres_b > refine432681134nres_b ) > refine432681134nres_b ).
thf(tp_sK24_SY500,type,
sK24_SY500: refine424419629nres_a > set_a ).
thf(tp_sK25_SY585,type,
sK25_SY585: refine424419629nres_a > refine432681134nres_b > refine424419629nres_a > ( refine424419629nres_a > refine432681134nres_b ) > refine424419629nres_a ).
thf(tp_sK26_SY507,type,
sK26_SY507: refine432681134nres_b > refine432681134nres_b > refine432681134nres_b > ( refine432681134nres_b > refine432681134nres_b ) > refine432681134nres_b ).
thf(tp_sK27_SY517,type,
sK27_SY517: refine432681134nres_b > refine432681134nres_b > refine424419629nres_a > ( refine432681134nres_b > refine424419629nres_a ) > refine432681134nres_b ).
thf(tp_sK28_SY598,type,
sK28_SY598: refine424419629nres_a > refine432681134nres_b > refine424419629nres_a > ( refine424419629nres_a > refine432681134nres_b ) > refine424419629nres_a ).
thf(tp_sK29_SY533,type,
sK29_SY533: refine424419629nres_a > refine424419629nres_a > refine432681134nres_b > ( refine424419629nres_a > refine432681134nres_b ) > refine424419629nres_a ).
thf(tp_sK2_SY482,type,
sK2_SY482: ( a > $o ) > ( a > $o ) > a ).
thf(tp_sK30_SY607,type,
sK30_SY607: refine432681134nres_b > refine424419629nres_a > refine432681134nres_b > ( refine432681134nres_b > refine424419629nres_a ) > refine432681134nres_b ).
thf(tp_sK31_SY285,type,
sK31_SY285: refine424419629nres_a > refine424419629nres_a > ( refine424419629nres_a > refine424419629nres_a > $o ) > set_a ).
thf(tp_sK32_SY639,type,
sK32_SY639: ( refine432681134nres_b > refine424419629nres_a ) > refine432681134nres_b > refine424419629nres_a > refine432681134nres_b > refine432681134nres_b ).
thf(tp_sK33_SY640,type,
sK33_SY640: ( refine432681134nres_b > refine432681134nres_b ) > refine432681134nres_b > refine432681134nres_b > refine432681134nres_b > refine432681134nres_b ).
thf(tp_sK34_SY641,type,
sK34_SY641: ( refine432681134nres_b > refine432681134nres_b ) > refine432681134nres_b > refine432681134nres_b > refine432681134nres_b > refine432681134nres_b ).
thf(tp_sK35_SY642,type,
sK35_SY642: ( refine424419629nres_a > refine432681134nres_b ) > refine432681134nres_b > refine424419629nres_a > refine424419629nres_a > refine424419629nres_a ).
thf(tp_sK36_SY643,type,
sK36_SY643: ( refine432681134nres_b > refine424419629nres_a ) > refine424419629nres_a > refine432681134nres_b > refine432681134nres_b > refine432681134nres_b ).
thf(tp_sK37_SY644,type,
sK37_SY644: ( refine432681134nres_b > refine432681134nres_b ) > refine432681134nres_b > refine432681134nres_b > refine432681134nres_b > refine432681134nres_b ).
thf(tp_sK38_SY645,type,
sK38_SY645: ( refine424419629nres_a > refine432681134nres_b ) > refine424419629nres_a > refine432681134nres_b > refine424419629nres_a > refine424419629nres_a ).
thf(tp_sK39_SY646,type,
sK39_SY646: ( refine432681134nres_b > refine432681134nres_b ) > refine432681134nres_b > refine432681134nres_b > refine432681134nres_b > refine432681134nres_b ).
thf(tp_sK3_SY499,type,
sK3_SY499: ( a > $o ) > ( a > $o ) > a ).
thf(tp_sK40_SY379,type,
sK40_SY379: refine424419629nres_a > refine424419629nres_a > ( refine424419629nres_a > refine424419629nres_a > $o ) > set_a ).
thf(tp_sK41_SY647,type,
sK41_SY647: ( refine432681134nres_b > refine424419629nres_a ) > refine424419629nres_a > refine432681134nres_b > refine432681134nres_b > refine432681134nres_b ).
thf(tp_sK42_SY648,type,
sK42_SY648: ( refine424419629nres_a > refine432681134nres_b ) > refine424419629nres_a > refine432681134nres_b > refine424419629nres_a > refine424419629nres_a ).
thf(tp_sK43_SY601,type,
sK43_SY601: refine432681134nres_b > ( refine432681134nres_b > $o ) > ( refine432681134nres_b > $o ) > refine432681134nres_b ).
thf(tp_sK44_SY649,type,
sK44_SY649: ( refine424419629nres_a > refine432681134nres_b ) > refine432681134nres_b > refine424419629nres_a > refine424419629nres_a > refine424419629nres_a ).
thf(tp_sK45_SY650,type,
sK45_SY650: ( refine432681134nres_b > refine424419629nres_a ) > refine432681134nres_b > refine424419629nres_a > refine432681134nres_b > refine432681134nres_b ).
thf(tp_sK46_SY651,type,
sK46_SY651: refine424419629nres_a > refine424419629nres_a > ( refine424419629nres_a > refine424419629nres_a > $o ) > set_a ).
thf(tp_sK47_SY312,type,
sK47_SY312: refine424419629nres_a > refine424419629nres_a > ( refine424419629nres_a > refine424419629nres_a > $o ) > set_a ).
thf(tp_sK48_SY652,type,
sK48_SY652: refine424419629nres_a > refine424419629nres_a > ( refine424419629nres_a > refine424419629nres_a > $o ) > set_a ).
thf(tp_sK49_SY601,type,
sK49_SY601: refine432681134nres_b > ( refine432681134nres_b > $o ) > ( refine432681134nres_b > $o ) > refine432681134nres_b ).
thf(tp_sK4_SY283,type,
sK4_SY283: refine424419629nres_a > refine424419629nres_a > ( refine424419629nres_a > refine424419629nres_a > $o ) > refine424419629nres_a ).
thf(tp_sK50_SY500,type,
sK50_SY500: set_a > refine424419629nres_a > set_a ).
thf(tp_sK5_SY309,type,
sK5_SY309: refine424419629nres_a > refine424419629nres_a > ( refine424419629nres_a > refine424419629nres_a > $o ) > refine424419629nres_a ).
thf(tp_sK6_SY357,type,
sK6_SY357: refine424419629nres_a > set_a ).
thf(tp_sK7_SY377,type,
sK7_SY377: refine424419629nres_a > refine424419629nres_a > ( refine424419629nres_a > refine424419629nres_a > $o ) > refine424419629nres_a ).
thf(tp_sK8_SY383,type,
sK8_SY383: refine424419629nres_a > set_a ).
thf(tp_sK9_SY419,type,
sK9_SY419: refine432681134nres_b > ( refine432681134nres_b > $o ) > refine432681134nres_b ).
thf(tp_top_to177290092t_unit,type,
top_to177290092t_unit: refine787176636t_unit ).
thf(tp_top_to231829469nres_a,type,
top_to231829469nres_a: refine424419629nres_a ).
thf(tp_top_to240090974nres_b,type,
top_to240090974nres_b: refine432681134nres_b ).
thf(tp_top_top_a_o,type,
top_top_a_o: a > $o ).
thf(tp_top_top_b_o,type,
top_top_b_o: b > $o ).
thf(tp_top_top_set_a,type,
top_top_set_a: set_a ).
thf(tp_top_top_set_b,type,
top_top_set_b: set_b ).
thf(tp_x,type,
x: a ).
thf(3,axiom,
! [P: $o] :
( ( P = $true )
| ( P = $false ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_If_3_1_If_001t__Refine____Basic____Mirabelle____kwjuvthmas__Onres_It__Product____Type__Ounit_J_T) ).
thf(36,axiom,
! [M: refine432681134nres_b,X4: refine432681134nres_b] :
( ( M = top_to240090974nres_b )
=> ( ord_le527798542nres_b @ X4 @ M ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_322_meta__le__everything__if__top) ).
thf(43,axiom,
! [M4: refine424419629nres_a] :
( ( M4 != top_to231829469nres_a )
=> ~ ! [X12: set_a] :
( M4
!= ( refine1198353288_RES_a @ X12 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_315_nres__cases) ).
thf(46,axiom,
! [X: set_a] :
( top_to231829469nres_a
!= ( refine1198353288_RES_a @ X ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_312_nres__inequalities_I1_J) ).
thf(49,axiom,
! [M4: refine432681134nres_b] : ( ord_le527798542nres_b @ M4 @ top_to240090974nres_b ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_309_nres__order__simps_I3_J) ).
thf(52,axiom,
! [A: refine432681134nres_b] :
( ( ord_le527798542nres_b @ top_to240090974nres_b @ A )
=> ( A = top_to240090974nres_b ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_306_top_Oextremum__uniqueI) ).
thf(55,axiom,
! [A: refine432681134nres_b] :
( ( ord_le527798542nres_b @ top_to240090974nres_b @ A )
= ( A = top_to240090974nres_b ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_303_top_Oextremum__unique) ).
thf(58,axiom,
! [A: refine432681134nres_b] : ( ord_le527798542nres_b @ A @ top_to240090974nres_b ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_300_top__greatest) ).
thf(82,axiom,
! [M4: refine432681134nres_b] :
( ( ord_le527798542nres_b @ top_to240090974nres_b @ M4 )
= ( M4 = top_to240090974nres_b ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_276_nres__order__simps_I4_J) ).
thf(97,axiom,
! [A3: refine432681134nres_b,B3: refine432681134nres_b,R: set_Product_prod_b_b,C2: refine432681134nres_b] :
( ( ord_le527798542nres_b @ A3 @ B3 )
=> ( ( ord_le527798542nres_b @ ( refine1964549110un_b_b @ R @ B3 ) @ C2 )
=> ( ord_le527798542nres_b @ ( refine1964549110un_b_b @ R @ A3 ) @ C2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_261_abs__trans__additional_I1_J) ).
thf(120,axiom,
! [X4: a] :
( ( refine1198353288_RES_a
@ ( collect_a
@ ( ^ [Y5: a,Z: a] : ( Y5 = Z )
@ X4 ) ) )
= ( refine2063221604TURN_a @ X4 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_238_SPEC__eq__is__RETURN_I1_J) ).
thf(123,axiom,
! [X4: a,F: a > refine432681134nres_b] :
( ( refine436832839nd_a_b @ ( refine2063221604TURN_a @ X4 ) @ F )
= ( F @ X4 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_235_nres__monad1) ).
thf(125,axiom,
! [X4: b,Y3: b] :
( ( ord_le527798542nres_b @ ( refine2063221605TURN_b @ X4 ) @ ( refine2063221605TURN_b @ Y3 ) )
= ( X4 = Y3 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_233_nres__order__simps_I20_J) ).
thf(139,axiom,
! [P: refine424419629nres_a > refine424419629nres_a > $o,A0: refine424419629nres_a,A1: refine424419629nres_a] :
( ! [Uu: refine424419629nres_a] : ( P @ Uu @ refine464223677AILi_a )
=> ( ! [A5: set_a,B5: set_a] : ( P @ ( refine1198353288_RES_a @ A5 ) @ ( refine1198353288_RES_a @ B5 ) )
=> ( ! [Uv: set_a] : ( P @ refine464223677AILi_a @ ( refine1198353288_RES_a @ Uv ) )
=> ( P @ A0 @ A1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_219_less__eq__nres_Oinduct) ).
thf(141,axiom,
! [P: refine424419629nres_a > refine424419629nres_a > $o,A0: refine424419629nres_a,A1: refine424419629nres_a] :
( ! [X_1: refine424419629nres_a] : ( P @ refine464223677AILi_a @ X_1 )
=> ( ! [Uv: set_a] : ( P @ ( refine1198353288_RES_a @ Uv ) @ refine464223677AILi_a )
=> ( ! [A5: set_a,B5: set_a] : ( P @ ( refine1198353288_RES_a @ A5 ) @ ( refine1198353288_RES_a @ B5 ) )
=> ( P @ A0 @ A1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_217_less__nres_Oinduct) ).
thf(143,axiom,
! [P: refine424419629nres_a > refine424419629nres_a > $o,A0: refine424419629nres_a,A1: refine424419629nres_a] :
( ! [Uu: refine424419629nres_a] : ( P @ Uu @ refine464223677AILi_a )
=> ( ! [V: set_a] : ( P @ refine464223677AILi_a @ ( refine1198353288_RES_a @ V ) )
=> ( ! [A5: set_a,B5: set_a] : ( P @ ( refine1198353288_RES_a @ A5 ) @ ( refine1198353288_RES_a @ B5 ) )
=> ( P @ A0 @ A1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_215_sup__nres_Oinduct) ).
thf(145,axiom,
! [Y3: refine424419629nres_a] :
( ( Y3 != refine464223677AILi_a )
=> ~ ! [X22: set_a] :
( Y3
!= ( refine1198353288_RES_a @ X22 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_213_nres_Oexhaust) ).
thf(147,axiom,
! [P: refine424419629nres_a > $o,Nres: refine424419629nres_a] :
( ( P @ refine464223677AILi_a )
=> ( ! [X3: set_a] : ( P @ ( refine1198353288_RES_a @ X3 ) )
=> ( P @ Nres ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_211_nres_Oinduct) ).
thf(149,axiom,
! [X2: set_a] :
( refine464223677AILi_a
!= ( refine1198353288_RES_a @ X2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_209_nres_Odistinct_I1_J) ).
thf(151,axiom,
! [Uu2: refine432681134nres_b] : ( ord_le527798542nres_b @ Uu2 @ refine464223678AILi_b ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_207_less__eq__nres_Osimps_I1_J) ).
thf(175,axiom,
! [P: a > $o,Q: a > $o] :
( ! [X3: a] :
( ( P @ X3 )
=> ( Q @ X3 ) )
=> ( ord_less_eq_set_a @ ( collect_a @ P ) @ ( collect_a @ Q ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_183_Collect__mono) ).
thf(177,axiom,
! [P: a > $o,Q: a > $o] :
( ( ord_less_eq_set_a @ ( collect_a @ P ) @ ( collect_a @ Q ) )
= ( ! [X5: a] :
( ( P @ X5 )
=> ( Q @ X5 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_181_Collect__mono__iff) ).
thf(189,axiom,
! [S: refine432681134nres_b,S3: refine432681134nres_b,X4: b] :
( ( ord_le527798542nres_b @ S @ S3 )
=> ( ( refine1001002028nres_b @ S @ X4 )
=> ( refine1001002028nres_b @ S3 @ X4 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_169_pwD2) ).
thf(202,axiom,
! [Phi: a > $o,X7: a,M: refine432681134nres_b,R: set_Product_prod_b_b,F2: a > refine432681134nres_b] :
( ( Phi @ X7 )
=> ( ( ord_le527798542nres_b @ M @ ( refine122110613un_b_b @ R @ ( F2 @ X7 ) ) )
=> ( ord_le527798542nres_b @ M @ ( refine122110613un_b_b @ R @ ( refine436832839nd_a_b @ ( refine1198353288_RES_a @ ( collect_a @ Phi ) ) @ F2 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_156_rhs__step__bind__SPEC) ).
thf(211,axiom,
! [A3: refine432681134nres_b,R: set_Product_prod_b_b,B3: refine432681134nres_b,C2: refine432681134nres_b] :
( ( ord_le527798542nres_b @ A3 @ ( refine122110613un_b_b @ R @ B3 ) )
=> ( ( ord_le527798542nres_b @ B3 @ C2 )
=> ( ord_le527798542nres_b @ A3 @ ( refine122110613un_b_b @ R @ C2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_147_ref__two__step) ).
thf(213,axiom,
( refine412683989fail_a
= ( ^ [M5: refine424419629nres_a] :
? [M6: set_a] :
( M5
= ( refine1198353288_RES_a @ M6 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_145_nofail__RES__conv) ).
thf(215,axiom,
! [M3: refine432681134nres_b,M4: refine432681134nres_b] :
( ( ( refine412683990fail_b @ M3 )
=> ( ord_le527798542nres_b @ M4 @ M3 ) )
=> ( ord_le527798542nres_b @ M4 @ M3 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_143_le__nofailI) ).
thf(217,axiom,
! [S: refine432681134nres_b,S3: refine432681134nres_b] :
( ( ord_le527798542nres_b @ S @ S3 )
=> ( ( refine412683990fail_b @ S3 )
=> ( refine412683990fail_b @ S ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_141_pwD1) ).
thf(221,axiom,
! [X: set_a] : ( refine412683989fail_a @ ( refine1198353288_RES_a @ X ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_137_nofail__simps_I2_J) ).
thf(223,axiom,
! [A: refine432681134nres_b,B: refine432681134nres_b,C: refine432681134nres_b,D: refine432681134nres_b] :
( ( A = B )
=> ( ( ord_le527798542nres_b @ B @ C )
=> ( ( C = D )
=> ( ord_le527798542nres_b @ A @ D ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_135_ord__eq__le__eq__trans) ).
thf(225,axiom,
( ord_le1656162903nres_b
= ( ^ [X6: $o > refine432681134nres_b,Y8: $o > refine432681134nres_b] :
( ( ord_le527798542nres_b @ ( X6 @ $false ) @ ( Y8 @ $false ) )
& ( ord_le527798542nres_b @ ( X6 @ $true ) @ ( Y8 @ $true ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_133_le__rel__bool__arg__iff) ).
thf(227,axiom,
! [P: refine432681134nres_b > $o,X4: refine432681134nres_b,Q: refine432681134nres_b > $o] :
( ( P @ X4 )
=> ( ! [Y4: refine432681134nres_b] :
( ( P @ Y4 )
=> ( ord_le527798542nres_b @ Y4 @ X4 ) )
=> ( ! [X3: refine432681134nres_b] :
( ( P @ X3 )
=> ( ! [Y7: refine432681134nres_b] :
( ( P @ Y7 )
=> ( ord_le527798542nres_b @ Y7 @ X3 ) )
=> ( Q @ X3 ) ) )
=> ( Q @ ( order_1722590613nres_b @ P ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_131_GreatestI2__order) ).
thf(229,axiom,
! [P: refine432681134nres_b > $o,X4: refine432681134nres_b] :
( ( P @ X4 )
=> ( ! [Y4: refine432681134nres_b] :
( ( P @ Y4 )
=> ( ord_le527798542nres_b @ Y4 @ X4 ) )
=> ( ( order_1722590613nres_b @ P )
= X4 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_129_Greatest__equality) ).
thf(233,axiom,
! [A: refine424419629nres_a,B: refine424419629nres_a,F: refine424419629nres_a > refine432681134nres_b,C: refine432681134nres_b] :
( ( ord_le519537037nres_a @ A @ B )
=> ( ( ord_le527798542nres_b @ ( F @ B ) @ C )
=> ( ! [X3: refine424419629nres_a,Y4: refine424419629nres_a] :
( ( ord_le519537037nres_a @ X3 @ Y4 )
=> ( ord_le527798542nres_b @ ( F @ X3 ) @ ( F @ Y4 ) ) )
=> ( ord_le527798542nres_b @ ( F @ A ) @ C ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_125_order__subst2) ).
thf(234,axiom,
! [A: refine432681134nres_b,B: refine432681134nres_b,F: refine432681134nres_b > refine424419629nres_a,C: refine424419629nres_a] :
( ( ord_le527798542nres_b @ A @ B )
=> ( ( ord_le519537037nres_a @ ( F @ B ) @ C )
=> ( ! [X3: refine432681134nres_b,Y4: refine432681134nres_b] :
( ( ord_le527798542nres_b @ X3 @ Y4 )
=> ( ord_le519537037nres_a @ ( F @ X3 ) @ ( F @ Y4 ) ) )
=> ( ord_le519537037nres_a @ ( F @ A ) @ C ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_124_order__subst2) ).
thf(235,axiom,
! [A: refine432681134nres_b,B: refine432681134nres_b,F: refine432681134nres_b > refine432681134nres_b,C: refine432681134nres_b] :
( ( ord_le527798542nres_b @ A @ B )
=> ( ( ord_le527798542nres_b @ ( F @ B ) @ C )
=> ( ! [X3: refine432681134nres_b,Y4: refine432681134nres_b] :
( ( ord_le527798542nres_b @ X3 @ Y4 )
=> ( ord_le527798542nres_b @ ( F @ X3 ) @ ( F @ Y4 ) ) )
=> ( ord_le527798542nres_b @ ( F @ A ) @ C ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_123_order__subst2) ).
thf(237,axiom,
! [A: refine432681134nres_b,F: refine424419629nres_a > refine432681134nres_b,B: refine424419629nres_a,C: refine424419629nres_a] :
( ( A
= ( F @ B ) )
=> ( ( ord_le519537037nres_a @ B @ C )
=> ( ! [X3: refine424419629nres_a,Y4: refine424419629nres_a] :
( ( ord_le519537037nres_a @ X3 @ Y4 )
=> ( ord_le527798542nres_b @ ( F @ X3 ) @ ( F @ Y4 ) ) )
=> ( ord_le527798542nres_b @ A @ ( F @ C ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_121_ord__eq__le__subst) ).
thf(238,axiom,
! [A: refine424419629nres_a,F: refine432681134nres_b > refine424419629nres_a,B: refine432681134nres_b,C: refine432681134nres_b] :
( ( A
= ( F @ B ) )
=> ( ( ord_le527798542nres_b @ B @ C )
=> ( ! [X3: refine432681134nres_b,Y4: refine432681134nres_b] :
( ( ord_le527798542nres_b @ X3 @ Y4 )
=> ( ord_le519537037nres_a @ ( F @ X3 ) @ ( F @ Y4 ) ) )
=> ( ord_le519537037nres_a @ A @ ( F @ C ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_120_ord__eq__le__subst) ).
thf(239,axiom,
! [A: refine432681134nres_b,F: refine432681134nres_b > refine432681134nres_b,B: refine432681134nres_b,C: refine432681134nres_b] :
( ( A
= ( F @ B ) )
=> ( ( ord_le527798542nres_b @ B @ C )
=> ( ! [X3: refine432681134nres_b,Y4: refine432681134nres_b] :
( ( ord_le527798542nres_b @ X3 @ Y4 )
=> ( ord_le527798542nres_b @ ( F @ X3 ) @ ( F @ Y4 ) ) )
=> ( ord_le527798542nres_b @ A @ ( F @ C ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_119_ord__eq__le__subst) ).
thf(241,axiom,
! [A: refine424419629nres_a,B: refine424419629nres_a,F: refine424419629nres_a > refine432681134nres_b,C: refine432681134nres_b] :
( ( ord_le519537037nres_a @ A @ B )
=> ( ( ( F @ B )
= C )
=> ( ! [X3: refine424419629nres_a,Y4: refine424419629nres_a] :
( ( ord_le519537037nres_a @ X3 @ Y4 )
=> ( ord_le527798542nres_b @ ( F @ X3 ) @ ( F @ Y4 ) ) )
=> ( ord_le527798542nres_b @ ( F @ A ) @ C ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_117_ord__le__eq__subst) ).
thf(242,axiom,
! [A: refine432681134nres_b,B: refine432681134nres_b,F: refine432681134nres_b > refine424419629nres_a,C: refine424419629nres_a] :
( ( ord_le527798542nres_b @ A @ B )
=> ( ( ( F @ B )
= C )
=> ( ! [X3: refine432681134nres_b,Y4: refine432681134nres_b] :
( ( ord_le527798542nres_b @ X3 @ Y4 )
=> ( ord_le519537037nres_a @ ( F @ X3 ) @ ( F @ Y4 ) ) )
=> ( ord_le519537037nres_a @ ( F @ A ) @ C ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_116_ord__le__eq__subst) ).
thf(243,axiom,
! [A: refine432681134nres_b,B: refine432681134nres_b,F: refine432681134nres_b > refine432681134nres_b,C: refine432681134nres_b] :
( ( ord_le527798542nres_b @ A @ B )
=> ( ( ( F @ B )
= C )
=> ( ! [X3: refine432681134nres_b,Y4: refine432681134nres_b] :
( ( ord_le527798542nres_b @ X3 @ Y4 )
=> ( ord_le527798542nres_b @ ( F @ X3 ) @ ( F @ Y4 ) ) )
=> ( ord_le527798542nres_b @ ( F @ A ) @ C ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_115_ord__le__eq__subst) ).
thf(245,axiom,
( ( ^ [Y5: refine432681134nres_b,Z: refine432681134nres_b] : ( Y5 = Z ) )
= ( ^ [X5: refine432681134nres_b,Y6: refine432681134nres_b] :
( ( ord_le527798542nres_b @ X5 @ Y6 )
& ( ord_le527798542nres_b @ Y6 @ X5 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_113_eq__iff) ).
thf(247,axiom,
! [P: a > $o,Q: a > $o] :
( ! [X3: a] :
( ( P @ X3 )
= ( Q @ X3 ) )
=> ( ( collect_a @ P )
= ( collect_a @ Q ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_111_Collect__cong) ).
thf(249,axiom,
! [A3: set_a] :
( ( collect_a
@ ^ [X5: a] : ( member_a @ X5 @ A3 ) )
= A3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_109_Collect__mem__eq) ).
thf(251,axiom,
! [A: a,P: a > $o] :
( ( member_a @ A @ ( collect_a @ P ) )
= ( P @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_107_mem__Collect__eq) ).
thf(253,axiom,
! [X4: refine432681134nres_b,Y3: refine432681134nres_b] :
( ( ord_le527798542nres_b @ X4 @ Y3 )
=> ( ( ord_le527798542nres_b @ Y3 @ X4 )
=> ( X4 = Y3 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_105_antisym) ).
thf(255,axiom,
! [X4: refine432681134nres_b,Y3: refine432681134nres_b] :
( ( X4 = Y3 )
=> ( ord_le527798542nres_b @ X4 @ Y3 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_103_eq__refl) ).
thf(257,axiom,
! [A: refine432681134nres_b,B: refine432681134nres_b,C: refine432681134nres_b] :
( ( ord_le527798542nres_b @ A @ B )
=> ( ( ord_le527798542nres_b @ B @ C )
=> ( ord_le527798542nres_b @ A @ C ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_101_order_Otrans) ).
thf(259,axiom,
! [Y3: refine432681134nres_b,X4: refine432681134nres_b] :
( ( ord_le527798542nres_b @ Y3 @ X4 )
=> ( ( ord_le527798542nres_b @ X4 @ Y3 )
= ( X4 = Y3 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_99_antisym__conv) ).
thf(261,axiom,
( ( ^ [Y5: refine432681134nres_b,Z: refine432681134nres_b] : ( Y5 = Z ) )
= ( ^ [A2: refine432681134nres_b,B2: refine432681134nres_b] :
( ( ord_le527798542nres_b @ A2 @ B2 )
& ( ord_le527798542nres_b @ B2 @ A2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_97_order__class_Oorder_Oeq__iff) ).
thf(263,axiom,
! [A: refine432681134nres_b,B: refine432681134nres_b,C: refine432681134nres_b] :
( ( A = B )
=> ( ( ord_le527798542nres_b @ B @ C )
=> ( ord_le527798542nres_b @ A @ C ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_95_ord__eq__le__trans) ).
thf(265,axiom,
! [A: refine432681134nres_b,B: refine432681134nres_b,C: refine432681134nres_b] :
( ( ord_le527798542nres_b @ A @ B )
=> ( ( B = C )
=> ( ord_le527798542nres_b @ A @ C ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_93_ord__le__eq__trans) ).
thf(267,axiom,
! [A: refine432681134nres_b,B: refine432681134nres_b] :
( ( ord_le527798542nres_b @ A @ B )
=> ( ( ord_le527798542nres_b @ B @ A )
=> ( A = B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_91_order__class_Oorder_Oantisym) ).
thf(269,axiom,
! [X4: refine432681134nres_b,Y3: refine432681134nres_b,Z2: refine432681134nres_b] :
( ( ord_le527798542nres_b @ X4 @ Y3 )
=> ( ( ord_le527798542nres_b @ Y3 @ Z2 )
=> ( ord_le527798542nres_b @ X4 @ Z2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_89_order__trans) ).
thf(271,axiom,
! [A: refine432681134nres_b] : ( ord_le527798542nres_b @ A @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_87_dual__order_Orefl) ).
thf(273,axiom,
! [B: refine432681134nres_b,A: refine432681134nres_b,C: refine432681134nres_b] :
( ( ord_le527798542nres_b @ B @ A )
=> ( ( ord_le527798542nres_b @ C @ B )
=> ( ord_le527798542nres_b @ C @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_85_dual__order_Otrans) ).
thf(275,axiom,
( ( ^ [Y5: refine432681134nres_b,Z: refine432681134nres_b] : ( Y5 = Z ) )
= ( ^ [A2: refine432681134nres_b,B2: refine432681134nres_b] :
( ( ord_le527798542nres_b @ B2 @ A2 )
& ( ord_le527798542nres_b @ A2 @ B2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_83_dual__order_Oeq__iff) ).
thf(277,axiom,
! [B: refine432681134nres_b,A: refine432681134nres_b] :
( ( ord_le527798542nres_b @ B @ A )
=> ( ( ord_le527798542nres_b @ A @ B )
=> ( A = B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_81_dual__order_Oantisym) ).
thf(279,axiom,
! [T: refine432681134nres_b,T2: refine432681134nres_b,E: refine432681134nres_b,E2: refine432681134nres_b,B: $o] :
( ( ord_le527798542nres_b @ T @ T2 )
=> ( ( ord_le527798542nres_b @ E @ E2 )
=> ( ord_le527798542nres_b @ ( if_Ref1732808808nres_b @ B @ T @ E ) @ ( if_Ref1732808808nres_b @ B @ T2 @ E2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_79_order__mono__setup_Omono__if) ).
thf(285,axiom,
! [A: refine424419629nres_a,F: refine432681134nres_b > refine424419629nres_a,B: refine432681134nres_b,C: refine432681134nres_b] :
( ( ord_le519537037nres_a @ A @ ( F @ B ) )
=> ( ( ord_le527798542nres_b @ B @ C )
=> ( ! [X3: refine432681134nres_b,Y4: refine432681134nres_b] :
( ( ord_le527798542nres_b @ X3 @ Y4 )
=> ( ord_le519537037nres_a @ ( F @ X3 ) @ ( F @ Y4 ) ) )
=> ( ord_le519537037nres_a @ A @ ( F @ C ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_73_order__subst1) ).
thf(286,axiom,
! [A: refine432681134nres_b,F: refine424419629nres_a > refine432681134nres_b,B: refine424419629nres_a,C: refine424419629nres_a] :
( ( ord_le527798542nres_b @ A @ ( F @ B ) )
=> ( ( ord_le519537037nres_a @ B @ C )
=> ( ! [X3: refine424419629nres_a,Y4: refine424419629nres_a] :
( ( ord_le519537037nres_a @ X3 @ Y4 )
=> ( ord_le527798542nres_b @ ( F @ X3 ) @ ( F @ Y4 ) ) )
=> ( ord_le527798542nres_b @ A @ ( F @ C ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_72_order__subst1) ).
thf(287,axiom,
! [A: refine432681134nres_b,F: refine432681134nres_b > refine432681134nres_b,B: refine432681134nres_b,C: refine432681134nres_b] :
( ( ord_le527798542nres_b @ A @ ( F @ B ) )
=> ( ( ord_le527798542nres_b @ B @ C )
=> ( ! [X3: refine432681134nres_b,Y4: refine432681134nres_b] :
( ( ord_le527798542nres_b @ X3 @ Y4 )
=> ( ord_le527798542nres_b @ ( F @ X3 ) @ ( F @ Y4 ) ) )
=> ( ord_le527798542nres_b @ A @ ( F @ C ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_71_order__subst1) ).
thf(289,axiom,
! [B: $o,M1: refine432681134nres_b,M12: refine432681134nres_b,M2: refine432681134nres_b,M22: refine432681134nres_b] :
( ( B
=> ( ord_le527798542nres_b @ M1 @ M12 ) )
=> ( ( ~ B
=> ( ord_le527798542nres_b @ M2 @ M22 ) )
=> ( ord_le527798542nres_b @ ( if_Ref1732808808nres_b @ B @ M1 @ M2 ) @ ( if_Ref1732808808nres_b @ B @ M12 @ M22 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_69_Refine__Misc_Oif__mono) ).
thf(291,axiom,
! [F: $o > refine432681134nres_b,G: $o > refine432681134nres_b,X4: $o] :
( ( ord_le1656162903nres_b @ F @ G )
=> ( ord_le527798542nres_b @ ( F @ X4 ) @ ( G @ X4 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_67_le__funE) ).
thf(293,axiom,
! [F: $o > refine432681134nres_b,G: $o > refine432681134nres_b,X4: $o] :
( ( ord_le1656162903nres_b @ F @ G )
=> ( ord_le527798542nres_b @ ( F @ X4 ) @ ( G @ X4 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_65_le__funD) ).
thf(296,axiom,
! [Phi: a > $o,X4: a] :
( ( refine1312857699nres_a @ ( refine1198353288_RES_a @ ( collect_a @ Phi ) ) @ X4 )
= ( Phi @ X4 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_62_nf__inres__SPEC) ).
thf(306,axiom,
! [X: set_a] :
( ( refine1822134885_RES_a @ ( refine1198353288_RES_a @ X ) )
= X ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_52_the__RES_Osimps) ).
thf(309,axiom,
! [X4: refine432681134nres_b] : ( ord_le527798542nres_b @ X4 @ X4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_49_order__mono__setup_Orefl) ).
thf(323,axiom,
! [X4: a,X: set_a,M: refine432681134nres_b,F: a > refine432681134nres_b] :
( ( member_a @ X4 @ X )
=> ( ( ord_le527798542nres_b @ M @ ( F @ X4 ) )
=> ( ord_le527798542nres_b @ M @ ( refine436832839nd_a_b @ ( refine1198353288_RES_a @ X ) @ F ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_35_RES__bind__choose) ).
thf(326,axiom,
! [M: refine424419629nres_a,Phi: a > $o,Psi: a > $o] :
( ( ord_le519537037nres_a @ M @ ( refine1198353288_RES_a @ ( collect_a @ Phi ) ) )
=> ( ! [X3: a] :
( ( Phi @ X3 )
=> ( Psi @ X3 ) )
=> ( ord_le519537037nres_a @ M @ ( refine1198353288_RES_a @ ( collect_a @ Psi ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_32_SPEC__cons__rule) ).
thf(328,axiom,
! [B: $o,T: refine432681134nres_b,M: refine432681134nres_b,E: refine432681134nres_b] :
( ( B
=> ( ord_le527798542nres_b @ T @ M ) )
=> ( ( ~ B
=> ( ord_le527798542nres_b @ E @ M ) )
=> ( ord_le527798542nres_b @ ( if_Ref1732808808nres_b @ B @ T @ E ) @ M ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_30_lhs__step__If) ).
thf(335,axiom,
! [X4: refine424419629nres_a,Y3: refine424419629nres_a,Postcond: a > $o] :
( ( ord_le519537037nres_a @ X4 @ Y3 )
=> ( ( ord_le519537037nres_a @ Y3 @ ( refine1198353288_RES_a @ ( collect_a @ Postcond ) ) )
=> ( ord_le519537037nres_a @ X4 @ ( refine1198353288_RES_a @ ( collect_a @ Postcond ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_23_SPEC__trans) ).
thf(338,axiom,
! [Phi: a > $o,Phi2: a > $o] :
( ! [X3: a] :
( ( Phi @ X3 )
=> ( Phi2 @ X3 ) )
=> ( ord_le519537037nres_a @ ( refine1198353288_RES_a @ ( collect_a @ Phi ) ) @ ( refine1198353288_RES_a @ ( collect_a @ Phi2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_20_SPEC__rule) ).
thf(351,axiom,
! [X2: set_a,Y2: set_a] :
( ( ( refine1198353288_RES_a @ X2 )
= ( refine1198353288_RES_a @ Y2 ) )
= ( X2 = Y2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_7_nres_Oinject) ).
thf(354,axiom,
! [X: set_a,Y: set_a] :
( ( ( refine1198353288_RES_a @ X )
= ( refine1198353288_RES_a @ Y ) )
= ( X = Y ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4_nres__more__simps_I4_J) ).
thf(357,axiom,
ord_le527798542nres_b @ m @ ( f @ x ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1_assms_I2_J) ).
thf(358,axiom,
phi @ x,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0_assms_I1_J) ).
thf(359,conjecture,
ord_le527798542nres_b @ m @ ( refine436832839nd_a_b @ ( refine1198353288_RES_a @ ( collect_a @ phi ) ) @ f ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
thf(360,negated_conjecture,
( ( ord_le527798542nres_b @ m @ ( refine436832839nd_a_b @ ( refine1198353288_RES_a @ ( collect_a @ phi ) ) @ f ) )
= $false ),
inference(negate_conjecture,[status(cth)],[359]) ).
thf(361,plain,
( ( ord_le527798542nres_b @ m @ ( refine436832839nd_a_b @ ( refine1198353288_RES_a @ ( collect_a @ phi ) ) @ f ) )
= $false ),
inference(unfold_def,[status(thm)],[360]) ).
thf(362,plain,
( ( ! [P: $o] :
( ( P = $true )
| ( P = $false ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(363,plain,
( ( ! [M: refine432681134nres_b,X4: refine432681134nres_b] :
( ( M = top_to240090974nres_b )
=> ( ord_le527798542nres_b @ X4 @ M ) ) )
= $true ),
inference(unfold_def,[status(thm)],[36]) ).
thf(364,plain,
( ( ! [M4: refine424419629nres_a] :
( ( M4 != top_to231829469nres_a )
=> ~ ! [X12: set_a] :
( M4
!= ( refine1198353288_RES_a @ X12 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[43]) ).
thf(365,plain,
( ( ! [X: set_a] :
( top_to231829469nres_a
!= ( refine1198353288_RES_a @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[46]) ).
thf(366,plain,
( ( ! [M4: refine432681134nres_b] : ( ord_le527798542nres_b @ M4 @ top_to240090974nres_b ) )
= $true ),
inference(unfold_def,[status(thm)],[49]) ).
thf(367,plain,
( ( ! [A: refine432681134nres_b] :
( ( ord_le527798542nres_b @ top_to240090974nres_b @ A )
=> ( A = top_to240090974nres_b ) ) )
= $true ),
inference(unfold_def,[status(thm)],[52]) ).
thf(368,plain,
( ( ! [A: refine432681134nres_b] :
( ( ord_le527798542nres_b @ top_to240090974nres_b @ A )
= ( A = top_to240090974nres_b ) ) )
= $true ),
inference(unfold_def,[status(thm)],[55]) ).
thf(369,plain,
( ( ! [A: refine432681134nres_b] : ( ord_le527798542nres_b @ A @ top_to240090974nres_b ) )
= $true ),
inference(unfold_def,[status(thm)],[58]) ).
thf(370,plain,
( ( ! [M4: refine432681134nres_b] :
( ( ord_le527798542nres_b @ top_to240090974nres_b @ M4 )
= ( M4 = top_to240090974nres_b ) ) )
= $true ),
inference(unfold_def,[status(thm)],[82]) ).
thf(371,plain,
( ( ! [A3: refine432681134nres_b,B3: refine432681134nres_b,R: set_Product_prod_b_b,C2: refine432681134nres_b] :
( ( ord_le527798542nres_b @ A3 @ B3 )
=> ( ( ord_le527798542nres_b @ ( refine1964549110un_b_b @ R @ B3 ) @ C2 )
=> ( ord_le527798542nres_b @ ( refine1964549110un_b_b @ R @ A3 ) @ C2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[97]) ).
thf(372,plain,
( ( ! [SY15: a] :
( ( refine1198353288_RES_a
@ ( collect_a
@ ^ [SY16: a] : ( SY15 = SY16 ) ) )
= ( refine2063221604TURN_a @ SY15 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[120]) ).
thf(373,plain,
( ( ! [X4: a,F: a > refine432681134nres_b] :
( ( refine436832839nd_a_b @ ( refine2063221604TURN_a @ X4 ) @ F )
= ( F @ X4 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[123]) ).
thf(374,plain,
( ( ! [X4: b,Y3: b] :
( ( ord_le527798542nres_b @ ( refine2063221605TURN_b @ X4 ) @ ( refine2063221605TURN_b @ Y3 ) )
= ( X4 = Y3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[125]) ).
thf(375,plain,
( ( ! [P: refine424419629nres_a > refine424419629nres_a > $o,A0: refine424419629nres_a,A1: refine424419629nres_a] :
( ! [Uu: refine424419629nres_a] : ( P @ Uu @ refine464223677AILi_a )
=> ( ! [A5: set_a,B5: set_a] : ( P @ ( refine1198353288_RES_a @ A5 ) @ ( refine1198353288_RES_a @ B5 ) )
=> ( ! [Uv: set_a] : ( P @ refine464223677AILi_a @ ( refine1198353288_RES_a @ Uv ) )
=> ( P @ A0 @ A1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[139]) ).
thf(376,plain,
( ( ! [P: refine424419629nres_a > refine424419629nres_a > $o,A0: refine424419629nres_a,A1: refine424419629nres_a] :
( ! [X_1: refine424419629nres_a] : ( P @ refine464223677AILi_a @ X_1 )
=> ( ! [Uv: set_a] : ( P @ ( refine1198353288_RES_a @ Uv ) @ refine464223677AILi_a )
=> ( ! [A5: set_a,B5: set_a] : ( P @ ( refine1198353288_RES_a @ A5 ) @ ( refine1198353288_RES_a @ B5 ) )
=> ( P @ A0 @ A1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[141]) ).
thf(377,plain,
( ( ! [P: refine424419629nres_a > refine424419629nres_a > $o,A0: refine424419629nres_a,A1: refine424419629nres_a] :
( ! [Uu: refine424419629nres_a] : ( P @ Uu @ refine464223677AILi_a )
=> ( ! [V: set_a] : ( P @ refine464223677AILi_a @ ( refine1198353288_RES_a @ V ) )
=> ( ! [A5: set_a,B5: set_a] : ( P @ ( refine1198353288_RES_a @ A5 ) @ ( refine1198353288_RES_a @ B5 ) )
=> ( P @ A0 @ A1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[143]) ).
thf(378,plain,
( ( ! [Y3: refine424419629nres_a] :
( ( Y3 != refine464223677AILi_a )
=> ~ ! [X22: set_a] :
( Y3
!= ( refine1198353288_RES_a @ X22 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[145]) ).
thf(379,plain,
( ( ! [P: refine424419629nres_a > $o,Nres: refine424419629nres_a] :
( ( P @ refine464223677AILi_a )
=> ( ! [X3: set_a] : ( P @ ( refine1198353288_RES_a @ X3 ) )
=> ( P @ Nres ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[147]) ).
thf(380,plain,
( ( ! [X2: set_a] :
( refine464223677AILi_a
!= ( refine1198353288_RES_a @ X2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[149]) ).
thf(381,plain,
( ( ! [Uu2: refine432681134nres_b] : ( ord_le527798542nres_b @ Uu2 @ refine464223678AILi_b ) )
= $true ),
inference(unfold_def,[status(thm)],[151]) ).
thf(382,plain,
( ( ! [P: a > $o,Q: a > $o] :
( ! [X3: a] :
( ( P @ X3 )
=> ( Q @ X3 ) )
=> ( ord_less_eq_set_a @ ( collect_a @ P ) @ ( collect_a @ Q ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[175]) ).
thf(383,plain,
( ( ! [P: a > $o,Q: a > $o] :
( ( ord_less_eq_set_a @ ( collect_a @ P ) @ ( collect_a @ Q ) )
= ( ! [X5: a] :
( ( P @ X5 )
=> ( Q @ X5 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[177]) ).
thf(384,plain,
( ( ! [S: refine432681134nres_b,S3: refine432681134nres_b,X4: b] :
( ( ord_le527798542nres_b @ S @ S3 )
=> ( ( refine1001002028nres_b @ S @ X4 )
=> ( refine1001002028nres_b @ S3 @ X4 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[189]) ).
thf(385,plain,
( ( ! [Phi: a > $o,X7: a,M: refine432681134nres_b,R: set_Product_prod_b_b,F2: a > refine432681134nres_b] :
( ( Phi @ X7 )
=> ( ( ord_le527798542nres_b @ M @ ( refine122110613un_b_b @ R @ ( F2 @ X7 ) ) )
=> ( ord_le527798542nres_b @ M @ ( refine122110613un_b_b @ R @ ( refine436832839nd_a_b @ ( refine1198353288_RES_a @ ( collect_a @ Phi ) ) @ F2 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[202]) ).
thf(386,plain,
( ( ! [A3: refine432681134nres_b,R: set_Product_prod_b_b,B3: refine432681134nres_b,C2: refine432681134nres_b] :
( ( ord_le527798542nres_b @ A3 @ ( refine122110613un_b_b @ R @ B3 ) )
=> ( ( ord_le527798542nres_b @ B3 @ C2 )
=> ( ord_le527798542nres_b @ A3 @ ( refine122110613un_b_b @ R @ C2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[211]) ).
thf(387,plain,
( ( refine412683989fail_a
= ( ^ [M5: refine424419629nres_a] :
? [M6: set_a] :
( M5
= ( refine1198353288_RES_a @ M6 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[213]) ).
thf(388,plain,
( ( ! [M3: refine432681134nres_b,M4: refine432681134nres_b] :
( ( ( refine412683990fail_b @ M3 )
=> ( ord_le527798542nres_b @ M4 @ M3 ) )
=> ( ord_le527798542nres_b @ M4 @ M3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[215]) ).
thf(389,plain,
( ( ! [S: refine432681134nres_b,S3: refine432681134nres_b] :
( ( ord_le527798542nres_b @ S @ S3 )
=> ( ( refine412683990fail_b @ S3 )
=> ( refine412683990fail_b @ S ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[217]) ).
thf(390,plain,
( ( ! [X: set_a] : ( refine412683989fail_a @ ( refine1198353288_RES_a @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[221]) ).
thf(391,plain,
( ( ! [A: refine432681134nres_b,B: refine432681134nres_b,C: refine432681134nres_b,D: refine432681134nres_b] :
( ( A = B )
=> ( ( ord_le527798542nres_b @ B @ C )
=> ( ( C = D )
=> ( ord_le527798542nres_b @ A @ D ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[223]) ).
thf(392,plain,
( ( ord_le1656162903nres_b
= ( ^ [X6: $o > refine432681134nres_b,Y8: $o > refine432681134nres_b] :
( ( ord_le527798542nres_b @ ( X6 @ $false ) @ ( Y8 @ $false ) )
& ( ord_le527798542nres_b @ ( X6 @ $true ) @ ( Y8 @ $true ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[225]) ).
thf(393,plain,
( ( ! [P: refine432681134nres_b > $o,X4: refine432681134nres_b,Q: refine432681134nres_b > $o] :
( ( P @ X4 )
=> ( ! [Y4: refine432681134nres_b] :
( ( P @ Y4 )
=> ( ord_le527798542nres_b @ Y4 @ X4 ) )
=> ( ! [X3: refine432681134nres_b] :
( ( P @ X3 )
=> ( ! [Y7: refine432681134nres_b] :
( ( P @ Y7 )
=> ( ord_le527798542nres_b @ Y7 @ X3 ) )
=> ( Q @ X3 ) ) )
=> ( Q @ ( order_1722590613nres_b @ P ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[227]) ).
thf(394,plain,
( ( ! [P: refine432681134nres_b > $o,X4: refine432681134nres_b] :
( ( P @ X4 )
=> ( ! [Y4: refine432681134nres_b] :
( ( P @ Y4 )
=> ( ord_le527798542nres_b @ Y4 @ X4 ) )
=> ( ( order_1722590613nres_b @ P )
= X4 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[229]) ).
thf(395,plain,
( ( ! [A: refine424419629nres_a,B: refine424419629nres_a,F: refine424419629nres_a > refine432681134nres_b,C: refine432681134nres_b] :
( ( ord_le519537037nres_a @ A @ B )
=> ( ( ord_le527798542nres_b @ ( F @ B ) @ C )
=> ( ! [X3: refine424419629nres_a,Y4: refine424419629nres_a] :
( ( ord_le519537037nres_a @ X3 @ Y4 )
=> ( ord_le527798542nres_b @ ( F @ X3 ) @ ( F @ Y4 ) ) )
=> ( ord_le527798542nres_b @ ( F @ A ) @ C ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[233]) ).
thf(396,plain,
( ( ! [A: refine432681134nres_b,B: refine432681134nres_b,F: refine432681134nres_b > refine424419629nres_a,C: refine424419629nres_a] :
( ( ord_le527798542nres_b @ A @ B )
=> ( ( ord_le519537037nres_a @ ( F @ B ) @ C )
=> ( ! [X3: refine432681134nres_b,Y4: refine432681134nres_b] :
( ( ord_le527798542nres_b @ X3 @ Y4 )
=> ( ord_le519537037nres_a @ ( F @ X3 ) @ ( F @ Y4 ) ) )
=> ( ord_le519537037nres_a @ ( F @ A ) @ C ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[234]) ).
thf(397,plain,
( ( ! [A: refine432681134nres_b,B: refine432681134nres_b,F: refine432681134nres_b > refine432681134nres_b,C: refine432681134nres_b] :
( ( ord_le527798542nres_b @ A @ B )
=> ( ( ord_le527798542nres_b @ ( F @ B ) @ C )
=> ( ! [X3: refine432681134nres_b,Y4: refine432681134nres_b] :
( ( ord_le527798542nres_b @ X3 @ Y4 )
=> ( ord_le527798542nres_b @ ( F @ X3 ) @ ( F @ Y4 ) ) )
=> ( ord_le527798542nres_b @ ( F @ A ) @ C ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[235]) ).
thf(398,plain,
( ( ! [A: refine432681134nres_b,F: refine424419629nres_a > refine432681134nres_b,B: refine424419629nres_a,C: refine424419629nres_a] :
( ( A
= ( F @ B ) )
=> ( ( ord_le519537037nres_a @ B @ C )
=> ( ! [X3: refine424419629nres_a,Y4: refine424419629nres_a] :
( ( ord_le519537037nres_a @ X3 @ Y4 )
=> ( ord_le527798542nres_b @ ( F @ X3 ) @ ( F @ Y4 ) ) )
=> ( ord_le527798542nres_b @ A @ ( F @ C ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[237]) ).
thf(399,plain,
( ( ! [A: refine424419629nres_a,F: refine432681134nres_b > refine424419629nres_a,B: refine432681134nres_b,C: refine432681134nres_b] :
( ( A
= ( F @ B ) )
=> ( ( ord_le527798542nres_b @ B @ C )
=> ( ! [X3: refine432681134nres_b,Y4: refine432681134nres_b] :
( ( ord_le527798542nres_b @ X3 @ Y4 )
=> ( ord_le519537037nres_a @ ( F @ X3 ) @ ( F @ Y4 ) ) )
=> ( ord_le519537037nres_a @ A @ ( F @ C ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[238]) ).
thf(400,plain,
( ( ! [A: refine432681134nres_b,F: refine432681134nres_b > refine432681134nres_b,B: refine432681134nres_b,C: refine432681134nres_b] :
( ( A
= ( F @ B ) )
=> ( ( ord_le527798542nres_b @ B @ C )
=> ( ! [X3: refine432681134nres_b,Y4: refine432681134nres_b] :
( ( ord_le527798542nres_b @ X3 @ Y4 )
=> ( ord_le527798542nres_b @ ( F @ X3 ) @ ( F @ Y4 ) ) )
=> ( ord_le527798542nres_b @ A @ ( F @ C ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[239]) ).
thf(401,plain,
( ( ! [A: refine424419629nres_a,B: refine424419629nres_a,F: refine424419629nres_a > refine432681134nres_b,C: refine432681134nres_b] :
( ( ord_le519537037nres_a @ A @ B )
=> ( ( ( F @ B )
= C )
=> ( ! [X3: refine424419629nres_a,Y4: refine424419629nres_a] :
( ( ord_le519537037nres_a @ X3 @ Y4 )
=> ( ord_le527798542nres_b @ ( F @ X3 ) @ ( F @ Y4 ) ) )
=> ( ord_le527798542nres_b @ ( F @ A ) @ C ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[241]) ).
thf(402,plain,
( ( ! [A: refine432681134nres_b,B: refine432681134nres_b,F: refine432681134nres_b > refine424419629nres_a,C: refine424419629nres_a] :
( ( ord_le527798542nres_b @ A @ B )
=> ( ( ( F @ B )
= C )
=> ( ! [X3: refine432681134nres_b,Y4: refine432681134nres_b] :
( ( ord_le527798542nres_b @ X3 @ Y4 )
=> ( ord_le519537037nres_a @ ( F @ X3 ) @ ( F @ Y4 ) ) )
=> ( ord_le519537037nres_a @ ( F @ A ) @ C ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[242]) ).
thf(403,plain,
( ( ! [A: refine432681134nres_b,B: refine432681134nres_b,F: refine432681134nres_b > refine432681134nres_b,C: refine432681134nres_b] :
( ( ord_le527798542nres_b @ A @ B )
=> ( ( ( F @ B )
= C )
=> ( ! [X3: refine432681134nres_b,Y4: refine432681134nres_b] :
( ( ord_le527798542nres_b @ X3 @ Y4 )
=> ( ord_le527798542nres_b @ ( F @ X3 ) @ ( F @ Y4 ) ) )
=> ( ord_le527798542nres_b @ ( F @ A ) @ C ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[243]) ).
thf(404,plain,
( ( ( ^ [Y5: refine432681134nres_b,Z: refine432681134nres_b] : ( Y5 = Z ) )
= ( ^ [X5: refine432681134nres_b,Y6: refine432681134nres_b] :
( ( ord_le527798542nres_b @ X5 @ Y6 )
& ( ord_le527798542nres_b @ Y6 @ X5 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[245]) ).
thf(405,plain,
( ( ! [P: a > $o,Q: a > $o] :
( ! [X3: a] :
( ( P @ X3 )
= ( Q @ X3 ) )
=> ( ( collect_a @ P )
= ( collect_a @ Q ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[247]) ).
thf(406,plain,
( ( ! [A3: set_a] :
( ( collect_a
@ ^ [X5: a] : ( member_a @ X5 @ A3 ) )
= A3 ) )
= $true ),
inference(unfold_def,[status(thm)],[249]) ).
thf(407,plain,
( ( ! [A: a,P: a > $o] :
( ( member_a @ A @ ( collect_a @ P ) )
= ( P @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[251]) ).
thf(408,plain,
( ( ! [X4: refine432681134nres_b,Y3: refine432681134nres_b] :
( ( ord_le527798542nres_b @ X4 @ Y3 )
=> ( ( ord_le527798542nres_b @ Y3 @ X4 )
=> ( X4 = Y3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[253]) ).
thf(409,plain,
( ( ! [X4: refine432681134nres_b,Y3: refine432681134nres_b] :
( ( X4 = Y3 )
=> ( ord_le527798542nres_b @ X4 @ Y3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[255]) ).
thf(410,plain,
( ( ! [A: refine432681134nres_b,B: refine432681134nres_b,C: refine432681134nres_b] :
( ( ord_le527798542nres_b @ A @ B )
=> ( ( ord_le527798542nres_b @ B @ C )
=> ( ord_le527798542nres_b @ A @ C ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[257]) ).
thf(411,plain,
( ( ! [Y3: refine432681134nres_b,X4: refine432681134nres_b] :
( ( ord_le527798542nres_b @ Y3 @ X4 )
=> ( ( ord_le527798542nres_b @ X4 @ Y3 )
= ( X4 = Y3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[259]) ).
thf(412,plain,
( ( ( ^ [Y5: refine432681134nres_b,Z: refine432681134nres_b] : ( Y5 = Z ) )
= ( ^ [A2: refine432681134nres_b,B2: refine432681134nres_b] :
( ( ord_le527798542nres_b @ A2 @ B2 )
& ( ord_le527798542nres_b @ B2 @ A2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[261]) ).
thf(413,plain,
( ( ! [A: refine432681134nres_b,B: refine432681134nres_b,C: refine432681134nres_b] :
( ( A = B )
=> ( ( ord_le527798542nres_b @ B @ C )
=> ( ord_le527798542nres_b @ A @ C ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[263]) ).
thf(414,plain,
( ( ! [A: refine432681134nres_b,B: refine432681134nres_b,C: refine432681134nres_b] :
( ( ord_le527798542nres_b @ A @ B )
=> ( ( B = C )
=> ( ord_le527798542nres_b @ A @ C ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[265]) ).
thf(415,plain,
( ( ! [A: refine432681134nres_b,B: refine432681134nres_b] :
( ( ord_le527798542nres_b @ A @ B )
=> ( ( ord_le527798542nres_b @ B @ A )
=> ( A = B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[267]) ).
thf(416,plain,
( ( ! [X4: refine432681134nres_b,Y3: refine432681134nres_b,Z2: refine432681134nres_b] :
( ( ord_le527798542nres_b @ X4 @ Y3 )
=> ( ( ord_le527798542nres_b @ Y3 @ Z2 )
=> ( ord_le527798542nres_b @ X4 @ Z2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[269]) ).
thf(417,plain,
( ( ! [A: refine432681134nres_b] : ( ord_le527798542nres_b @ A @ A ) )
= $true ),
inference(unfold_def,[status(thm)],[271]) ).
thf(418,plain,
( ( ! [B: refine432681134nres_b,A: refine432681134nres_b,C: refine432681134nres_b] :
( ( ord_le527798542nres_b @ B @ A )
=> ( ( ord_le527798542nres_b @ C @ B )
=> ( ord_le527798542nres_b @ C @ A ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[273]) ).
thf(419,plain,
( ( ( ^ [Y5: refine432681134nres_b,Z: refine432681134nres_b] : ( Y5 = Z ) )
= ( ^ [A2: refine432681134nres_b,B2: refine432681134nres_b] :
( ( ord_le527798542nres_b @ B2 @ A2 )
& ( ord_le527798542nres_b @ A2 @ B2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[275]) ).
thf(420,plain,
( ( ! [B: refine432681134nres_b,A: refine432681134nres_b] :
( ( ord_le527798542nres_b @ B @ A )
=> ( ( ord_le527798542nres_b @ A @ B )
=> ( A = B ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[277]) ).
thf(421,plain,
( ( ! [T: refine432681134nres_b,T2: refine432681134nres_b,E: refine432681134nres_b,E2: refine432681134nres_b,B: $o] :
( ( ord_le527798542nres_b @ T @ T2 )
=> ( ( ord_le527798542nres_b @ E @ E2 )
=> ( ord_le527798542nres_b @ ( if_Ref1732808808nres_b @ B @ T @ E ) @ ( if_Ref1732808808nres_b @ B @ T2 @ E2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[279]) ).
thf(422,plain,
( ( ! [A: refine424419629nres_a,F: refine432681134nres_b > refine424419629nres_a,B: refine432681134nres_b,C: refine432681134nres_b] :
( ( ord_le519537037nres_a @ A @ ( F @ B ) )
=> ( ( ord_le527798542nres_b @ B @ C )
=> ( ! [X3: refine432681134nres_b,Y4: refine432681134nres_b] :
( ( ord_le527798542nres_b @ X3 @ Y4 )
=> ( ord_le519537037nres_a @ ( F @ X3 ) @ ( F @ Y4 ) ) )
=> ( ord_le519537037nres_a @ A @ ( F @ C ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[285]) ).
thf(423,plain,
( ( ! [A: refine432681134nres_b,F: refine424419629nres_a > refine432681134nres_b,B: refine424419629nres_a,C: refine424419629nres_a] :
( ( ord_le527798542nres_b @ A @ ( F @ B ) )
=> ( ( ord_le519537037nres_a @ B @ C )
=> ( ! [X3: refine424419629nres_a,Y4: refine424419629nres_a] :
( ( ord_le519537037nres_a @ X3 @ Y4 )
=> ( ord_le527798542nres_b @ ( F @ X3 ) @ ( F @ Y4 ) ) )
=> ( ord_le527798542nres_b @ A @ ( F @ C ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[286]) ).
thf(424,plain,
( ( ! [A: refine432681134nres_b,F: refine432681134nres_b > refine432681134nres_b,B: refine432681134nres_b,C: refine432681134nres_b] :
( ( ord_le527798542nres_b @ A @ ( F @ B ) )
=> ( ( ord_le527798542nres_b @ B @ C )
=> ( ! [X3: refine432681134nres_b,Y4: refine432681134nres_b] :
( ( ord_le527798542nres_b @ X3 @ Y4 )
=> ( ord_le527798542nres_b @ ( F @ X3 ) @ ( F @ Y4 ) ) )
=> ( ord_le527798542nres_b @ A @ ( F @ C ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[287]) ).
thf(425,plain,
( ( ! [B: $o,M1: refine432681134nres_b,M12: refine432681134nres_b,M2: refine432681134nres_b,M22: refine432681134nres_b] :
( ( B
=> ( ord_le527798542nres_b @ M1 @ M12 ) )
=> ( ( ~ B
=> ( ord_le527798542nres_b @ M2 @ M22 ) )
=> ( ord_le527798542nres_b @ ( if_Ref1732808808nres_b @ B @ M1 @ M2 ) @ ( if_Ref1732808808nres_b @ B @ M12 @ M22 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[289]) ).
thf(426,plain,
( ( ! [F: $o > refine432681134nres_b,G: $o > refine432681134nres_b,X4: $o] :
( ( ord_le1656162903nres_b @ F @ G )
=> ( ord_le527798542nres_b @ ( F @ X4 ) @ ( G @ X4 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[291]) ).
thf(427,plain,
( ( ! [F: $o > refine432681134nres_b,G: $o > refine432681134nres_b,X4: $o] :
( ( ord_le1656162903nres_b @ F @ G )
=> ( ord_le527798542nres_b @ ( F @ X4 ) @ ( G @ X4 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[293]) ).
thf(428,plain,
( ( ! [Phi: a > $o,X4: a] :
( ( refine1312857699nres_a @ ( refine1198353288_RES_a @ ( collect_a @ Phi ) ) @ X4 )
= ( Phi @ X4 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[296]) ).
thf(429,plain,
( ( ! [X: set_a] :
( ( refine1822134885_RES_a @ ( refine1198353288_RES_a @ X ) )
= X ) )
= $true ),
inference(unfold_def,[status(thm)],[306]) ).
thf(430,plain,
( ( ! [X4: refine432681134nres_b] : ( ord_le527798542nres_b @ X4 @ X4 ) )
= $true ),
inference(unfold_def,[status(thm)],[309]) ).
thf(431,plain,
( ( ! [X4: a,X: set_a,M: refine432681134nres_b,F: a > refine432681134nres_b] :
( ( member_a @ X4 @ X )
=> ( ( ord_le527798542nres_b @ M @ ( F @ X4 ) )
=> ( ord_le527798542nres_b @ M @ ( refine436832839nd_a_b @ ( refine1198353288_RES_a @ X ) @ F ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[323]) ).
thf(432,plain,
( ( ! [M: refine424419629nres_a,Phi: a > $o,Psi: a > $o] :
( ( ord_le519537037nres_a @ M @ ( refine1198353288_RES_a @ ( collect_a @ Phi ) ) )
=> ( ! [X3: a] :
( ( Phi @ X3 )
=> ( Psi @ X3 ) )
=> ( ord_le519537037nres_a @ M @ ( refine1198353288_RES_a @ ( collect_a @ Psi ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[326]) ).
thf(433,plain,
( ( ! [B: $o,T: refine432681134nres_b,M: refine432681134nres_b,E: refine432681134nres_b] :
( ( B
=> ( ord_le527798542nres_b @ T @ M ) )
=> ( ( ~ B
=> ( ord_le527798542nres_b @ E @ M ) )
=> ( ord_le527798542nres_b @ ( if_Ref1732808808nres_b @ B @ T @ E ) @ M ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[328]) ).
thf(434,plain,
( ( ! [X4: refine424419629nres_a,Y3: refine424419629nres_a,Postcond: a > $o] :
( ( ord_le519537037nres_a @ X4 @ Y3 )
=> ( ( ord_le519537037nres_a @ Y3 @ ( refine1198353288_RES_a @ ( collect_a @ Postcond ) ) )
=> ( ord_le519537037nres_a @ X4 @ ( refine1198353288_RES_a @ ( collect_a @ Postcond ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[335]) ).
thf(435,plain,
( ( ! [Phi: a > $o,Phi2: a > $o] :
( ! [X3: a] :
( ( Phi @ X3 )
=> ( Phi2 @ X3 ) )
=> ( ord_le519537037nres_a @ ( refine1198353288_RES_a @ ( collect_a @ Phi ) ) @ ( refine1198353288_RES_a @ ( collect_a @ Phi2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[338]) ).
thf(436,plain,
( ( ! [X2: set_a,Y2: set_a] :
( ( ( refine1198353288_RES_a @ X2 )
= ( refine1198353288_RES_a @ Y2 ) )
= ( X2 = Y2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[351]) ).
thf(437,plain,
( ( ! [X: set_a,Y: set_a] :
( ( ( refine1198353288_RES_a @ X )
= ( refine1198353288_RES_a @ Y ) )
= ( X = Y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[354]) ).
thf(438,plain,
( ( ord_le527798542nres_b @ m @ ( f @ x ) )
= $true ),
inference(unfold_def,[status(thm)],[357]) ).
thf(439,plain,
( ( phi @ x )
= $true ),
inference(unfold_def,[status(thm)],[358]) ).
thf(440,plain,
( ( ~ ( ord_le527798542nres_b @ m @ ( refine436832839nd_a_b @ ( refine1198353288_RES_a @ ( collect_a @ phi ) ) @ f ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[361]) ).
thf(441,plain,
( ( phi @ x )
= $true ),
inference(copy,[status(thm)],[439]) ).
thf(442,plain,
( ( ord_le527798542nres_b @ m @ ( f @ x ) )
= $true ),
inference(copy,[status(thm)],[438]) ).
thf(443,plain,
( ( ! [X: set_a,Y: set_a] :
( ( ( refine1198353288_RES_a @ X )
= ( refine1198353288_RES_a @ Y ) )
= ( X = Y ) ) )
= $true ),
inference(copy,[status(thm)],[437]) ).
thf(444,plain,
( ( ! [X2: set_a,Y2: set_a] :
( ( ( refine1198353288_RES_a @ X2 )
= ( refine1198353288_RES_a @ Y2 ) )
= ( X2 = Y2 ) ) )
= $true ),
inference(copy,[status(thm)],[436]) ).
thf(445,plain,
( ( ! [Phi: a > $o,Phi2: a > $o] :
( ! [X3: a] :
( ( Phi @ X3 )
=> ( Phi2 @ X3 ) )
=> ( ord_le519537037nres_a @ ( refine1198353288_RES_a @ ( collect_a @ Phi ) ) @ ( refine1198353288_RES_a @ ( collect_a @ Phi2 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[435]) ).
thf(446,plain,
( ( ! [X4: refine424419629nres_a,Y3: refine424419629nres_a,Postcond: a > $o] :
( ( ord_le519537037nres_a @ X4 @ Y3 )
=> ( ( ord_le519537037nres_a @ Y3 @ ( refine1198353288_RES_a @ ( collect_a @ Postcond ) ) )
=> ( ord_le519537037nres_a @ X4 @ ( refine1198353288_RES_a @ ( collect_a @ Postcond ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[434]) ).
thf(447,plain,
( ( ! [B: $o,T: refine432681134nres_b,M: refine432681134nres_b,E: refine432681134nres_b] :
( ( B
=> ( ord_le527798542nres_b @ T @ M ) )
=> ( ( ~ B
=> ( ord_le527798542nres_b @ E @ M ) )
=> ( ord_le527798542nres_b @ ( if_Ref1732808808nres_b @ B @ T @ E ) @ M ) ) ) )
= $true ),
inference(copy,[status(thm)],[433]) ).
thf(448,plain,
( ( ! [M: refine424419629nres_a,Phi: a > $o,Psi: a > $o] :
( ( ord_le519537037nres_a @ M @ ( refine1198353288_RES_a @ ( collect_a @ Phi ) ) )
=> ( ! [X3: a] :
( ( Phi @ X3 )
=> ( Psi @ X3 ) )
=> ( ord_le519537037nres_a @ M @ ( refine1198353288_RES_a @ ( collect_a @ Psi ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[432]) ).
thf(449,plain,
( ( ! [X4: a,X: set_a,M: refine432681134nres_b,F: a > refine432681134nres_b] :
( ( member_a @ X4 @ X )
=> ( ( ord_le527798542nres_b @ M @ ( F @ X4 ) )
=> ( ord_le527798542nres_b @ M @ ( refine436832839nd_a_b @ ( refine1198353288_RES_a @ X ) @ F ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[431]) ).
thf(450,plain,
( ( ! [X4: refine432681134nres_b] : ( ord_le527798542nres_b @ X4 @ X4 ) )
= $true ),
inference(copy,[status(thm)],[430]) ).
thf(451,plain,
( ( ! [X: set_a] :
( ( refine1822134885_RES_a @ ( refine1198353288_RES_a @ X ) )
= X ) )
= $true ),
inference(copy,[status(thm)],[429]) ).
thf(452,plain,
( ( ! [Phi: a > $o,X4: a] :
( ( refine1312857699nres_a @ ( refine1198353288_RES_a @ ( collect_a @ Phi ) ) @ X4 )
= ( Phi @ X4 ) ) )
= $true ),
inference(copy,[status(thm)],[428]) ).
thf(453,plain,
( ( ! [F: $o > refine432681134nres_b,G: $o > refine432681134nres_b,X4: $o] :
( ( ord_le1656162903nres_b @ F @ G )
=> ( ord_le527798542nres_b @ ( F @ X4 ) @ ( G @ X4 ) ) ) )
= $true ),
inference(copy,[status(thm)],[427]) ).
thf(454,plain,
( ( ! [F: $o > refine432681134nres_b,G: $o > refine432681134nres_b,X4: $o] :
( ( ord_le1656162903nres_b @ F @ G )
=> ( ord_le527798542nres_b @ ( F @ X4 ) @ ( G @ X4 ) ) ) )
= $true ),
inference(copy,[status(thm)],[426]) ).
thf(455,plain,
( ( ! [B: $o,M1: refine432681134nres_b,M12: refine432681134nres_b,M2: refine432681134nres_b,M22: refine432681134nres_b] :
( ( B
=> ( ord_le527798542nres_b @ M1 @ M12 ) )
=> ( ( ~ B
=> ( ord_le527798542nres_b @ M2 @ M22 ) )
=> ( ord_le527798542nres_b @ ( if_Ref1732808808nres_b @ B @ M1 @ M2 ) @ ( if_Ref1732808808nres_b @ B @ M12 @ M22 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[425]) ).
thf(456,plain,
( ( ! [A: refine432681134nres_b,F: refine432681134nres_b > refine432681134nres_b,B: refine432681134nres_b,C: refine432681134nres_b] :
( ( ord_le527798542nres_b @ A @ ( F @ B ) )
=> ( ( ord_le527798542nres_b @ B @ C )
=> ( ! [X3: refine432681134nres_b,Y4: refine432681134nres_b] :
( ( ord_le527798542nres_b @ X3 @ Y4 )
=> ( ord_le527798542nres_b @ ( F @ X3 ) @ ( F @ Y4 ) ) )
=> ( ord_le527798542nres_b @ A @ ( F @ C ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[424]) ).
thf(457,plain,
( ( ! [A: refine432681134nres_b,F: refine424419629nres_a > refine432681134nres_b,B: refine424419629nres_a,C: refine424419629nres_a] :
( ( ord_le527798542nres_b @ A @ ( F @ B ) )
=> ( ( ord_le519537037nres_a @ B @ C )
=> ( ! [X3: refine424419629nres_a,Y4: refine424419629nres_a] :
( ( ord_le519537037nres_a @ X3 @ Y4 )
=> ( ord_le527798542nres_b @ ( F @ X3 ) @ ( F @ Y4 ) ) )
=> ( ord_le527798542nres_b @ A @ ( F @ C ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[423]) ).
thf(458,plain,
( ( ! [A: refine424419629nres_a,F: refine432681134nres_b > refine424419629nres_a,B: refine432681134nres_b,C: refine432681134nres_b] :
( ( ord_le519537037nres_a @ A @ ( F @ B ) )
=> ( ( ord_le527798542nres_b @ B @ C )
=> ( ! [X3: refine432681134nres_b,Y4: refine432681134nres_b] :
( ( ord_le527798542nres_b @ X3 @ Y4 )
=> ( ord_le519537037nres_a @ ( F @ X3 ) @ ( F @ Y4 ) ) )
=> ( ord_le519537037nres_a @ A @ ( F @ C ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[422]) ).
thf(459,plain,
( ( ! [T: refine432681134nres_b,T2: refine432681134nres_b,E: refine432681134nres_b,E2: refine432681134nres_b,B: $o] :
( ( ord_le527798542nres_b @ T @ T2 )
=> ( ( ord_le527798542nres_b @ E @ E2 )
=> ( ord_le527798542nres_b @ ( if_Ref1732808808nres_b @ B @ T @ E ) @ ( if_Ref1732808808nres_b @ B @ T2 @ E2 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[421]) ).
thf(460,plain,
( ( ! [B: refine432681134nres_b,A: refine432681134nres_b] :
( ( ord_le527798542nres_b @ B @ A )
=> ( ( ord_le527798542nres_b @ A @ B )
=> ( A = B ) ) ) )
= $true ),
inference(copy,[status(thm)],[420]) ).
thf(461,plain,
( ( ( ^ [Y5: refine432681134nres_b,Z: refine432681134nres_b] : ( Y5 = Z ) )
= ( ^ [A2: refine432681134nres_b,B2: refine432681134nres_b] :
( ( ord_le527798542nres_b @ B2 @ A2 )
& ( ord_le527798542nres_b @ A2 @ B2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[419]) ).
thf(462,plain,
( ( ! [B: refine432681134nres_b,A: refine432681134nres_b,C: refine432681134nres_b] :
( ( ord_le527798542nres_b @ B @ A )
=> ( ( ord_le527798542nres_b @ C @ B )
=> ( ord_le527798542nres_b @ C @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[418]) ).
thf(463,plain,
( ( ! [A: refine432681134nres_b] : ( ord_le527798542nres_b @ A @ A ) )
= $true ),
inference(copy,[status(thm)],[417]) ).
thf(464,plain,
( ( ! [X4: refine432681134nres_b,Y3: refine432681134nres_b,Z2: refine432681134nres_b] :
( ( ord_le527798542nres_b @ X4 @ Y3 )
=> ( ( ord_le527798542nres_b @ Y3 @ Z2 )
=> ( ord_le527798542nres_b @ X4 @ Z2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[416]) ).
thf(465,plain,
( ( ! [A: refine432681134nres_b,B: refine432681134nres_b] :
( ( ord_le527798542nres_b @ A @ B )
=> ( ( ord_le527798542nres_b @ B @ A )
=> ( A = B ) ) ) )
= $true ),
inference(copy,[status(thm)],[415]) ).
thf(466,plain,
( ( ! [A: refine432681134nres_b,B: refine432681134nres_b,C: refine432681134nres_b] :
( ( ord_le527798542nres_b @ A @ B )
=> ( ( B = C )
=> ( ord_le527798542nres_b @ A @ C ) ) ) )
= $true ),
inference(copy,[status(thm)],[414]) ).
thf(467,plain,
( ( ! [A: refine432681134nres_b,B: refine432681134nres_b,C: refine432681134nres_b] :
( ( A = B )
=> ( ( ord_le527798542nres_b @ B @ C )
=> ( ord_le527798542nres_b @ A @ C ) ) ) )
= $true ),
inference(copy,[status(thm)],[413]) ).
thf(468,plain,
( ( ( ^ [Y5: refine432681134nres_b,Z: refine432681134nres_b] : ( Y5 = Z ) )
= ( ^ [A2: refine432681134nres_b,B2: refine432681134nres_b] :
( ( ord_le527798542nres_b @ A2 @ B2 )
& ( ord_le527798542nres_b @ B2 @ A2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[412]) ).
thf(469,plain,
( ( ! [Y3: refine432681134nres_b,X4: refine432681134nres_b] :
( ( ord_le527798542nres_b @ Y3 @ X4 )
=> ( ( ord_le527798542nres_b @ X4 @ Y3 )
= ( X4 = Y3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[411]) ).
thf(470,plain,
( ( ! [A: refine432681134nres_b,B: refine432681134nres_b,C: refine432681134nres_b] :
( ( ord_le527798542nres_b @ A @ B )
=> ( ( ord_le527798542nres_b @ B @ C )
=> ( ord_le527798542nres_b @ A @ C ) ) ) )
= $true ),
inference(copy,[status(thm)],[410]) ).
thf(471,plain,
( ( ! [X4: refine432681134nres_b,Y3: refine432681134nres_b] :
( ( X4 = Y3 )
=> ( ord_le527798542nres_b @ X4 @ Y3 ) ) )
= $true ),
inference(copy,[status(thm)],[409]) ).
thf(472,plain,
( ( ! [X4: refine432681134nres_b,Y3: refine432681134nres_b] :
( ( ord_le527798542nres_b @ X4 @ Y3 )
=> ( ( ord_le527798542nres_b @ Y3 @ X4 )
=> ( X4 = Y3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[408]) ).
thf(473,plain,
( ( ! [A: a,P: a > $o] :
( ( member_a @ A @ ( collect_a @ P ) )
= ( P @ A ) ) )
= $true ),
inference(copy,[status(thm)],[407]) ).
thf(474,plain,
( ( ! [A3: set_a] :
( ( collect_a
@ ^ [X5: a] : ( member_a @ X5 @ A3 ) )
= A3 ) )
= $true ),
inference(copy,[status(thm)],[406]) ).
thf(475,plain,
( ( ! [P: a > $o,Q: a > $o] :
( ! [X3: a] :
( ( P @ X3 )
= ( Q @ X3 ) )
=> ( ( collect_a @ P )
= ( collect_a @ Q ) ) ) )
= $true ),
inference(copy,[status(thm)],[405]) ).
thf(476,plain,
( ( ( ^ [Y5: refine432681134nres_b,Z: refine432681134nres_b] : ( Y5 = Z ) )
= ( ^ [X5: refine432681134nres_b,Y6: refine432681134nres_b] :
( ( ord_le527798542nres_b @ X5 @ Y6 )
& ( ord_le527798542nres_b @ Y6 @ X5 ) ) ) )
= $true ),
inference(copy,[status(thm)],[404]) ).
thf(477,plain,
( ( ! [A: refine432681134nres_b,B: refine432681134nres_b,F: refine432681134nres_b > refine432681134nres_b,C: refine432681134nres_b] :
( ( ord_le527798542nres_b @ A @ B )
=> ( ( ( F @ B )
= C )
=> ( ! [X3: refine432681134nres_b,Y4: refine432681134nres_b] :
( ( ord_le527798542nres_b @ X3 @ Y4 )
=> ( ord_le527798542nres_b @ ( F @ X3 ) @ ( F @ Y4 ) ) )
=> ( ord_le527798542nres_b @ ( F @ A ) @ C ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[403]) ).
thf(478,plain,
( ( ! [A: refine432681134nres_b,B: refine432681134nres_b,F: refine432681134nres_b > refine424419629nres_a,C: refine424419629nres_a] :
( ( ord_le527798542nres_b @ A @ B )
=> ( ( ( F @ B )
= C )
=> ( ! [X3: refine432681134nres_b,Y4: refine432681134nres_b] :
( ( ord_le527798542nres_b @ X3 @ Y4 )
=> ( ord_le519537037nres_a @ ( F @ X3 ) @ ( F @ Y4 ) ) )
=> ( ord_le519537037nres_a @ ( F @ A ) @ C ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[402]) ).
thf(479,plain,
( ( ! [A: refine424419629nres_a,B: refine424419629nres_a,F: refine424419629nres_a > refine432681134nres_b,C: refine432681134nres_b] :
( ( ord_le519537037nres_a @ A @ B )
=> ( ( ( F @ B )
= C )
=> ( ! [X3: refine424419629nres_a,Y4: refine424419629nres_a] :
( ( ord_le519537037nres_a @ X3 @ Y4 )
=> ( ord_le527798542nres_b @ ( F @ X3 ) @ ( F @ Y4 ) ) )
=> ( ord_le527798542nres_b @ ( F @ A ) @ C ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[401]) ).
thf(480,plain,
( ( ! [A: refine432681134nres_b,F: refine432681134nres_b > refine432681134nres_b,B: refine432681134nres_b,C: refine432681134nres_b] :
( ( A
= ( F @ B ) )
=> ( ( ord_le527798542nres_b @ B @ C )
=> ( ! [X3: refine432681134nres_b,Y4: refine432681134nres_b] :
( ( ord_le527798542nres_b @ X3 @ Y4 )
=> ( ord_le527798542nres_b @ ( F @ X3 ) @ ( F @ Y4 ) ) )
=> ( ord_le527798542nres_b @ A @ ( F @ C ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[400]) ).
thf(481,plain,
( ( ! [A: refine424419629nres_a,F: refine432681134nres_b > refine424419629nres_a,B: refine432681134nres_b,C: refine432681134nres_b] :
( ( A
= ( F @ B ) )
=> ( ( ord_le527798542nres_b @ B @ C )
=> ( ! [X3: refine432681134nres_b,Y4: refine432681134nres_b] :
( ( ord_le527798542nres_b @ X3 @ Y4 )
=> ( ord_le519537037nres_a @ ( F @ X3 ) @ ( F @ Y4 ) ) )
=> ( ord_le519537037nres_a @ A @ ( F @ C ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[399]) ).
thf(482,plain,
( ( ! [A: refine432681134nres_b,F: refine424419629nres_a > refine432681134nres_b,B: refine424419629nres_a,C: refine424419629nres_a] :
( ( A
= ( F @ B ) )
=> ( ( ord_le519537037nres_a @ B @ C )
=> ( ! [X3: refine424419629nres_a,Y4: refine424419629nres_a] :
( ( ord_le519537037nres_a @ X3 @ Y4 )
=> ( ord_le527798542nres_b @ ( F @ X3 ) @ ( F @ Y4 ) ) )
=> ( ord_le527798542nres_b @ A @ ( F @ C ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[398]) ).
thf(483,plain,
( ( ! [A: refine432681134nres_b,B: refine432681134nres_b,F: refine432681134nres_b > refine432681134nres_b,C: refine432681134nres_b] :
( ( ord_le527798542nres_b @ A @ B )
=> ( ( ord_le527798542nres_b @ ( F @ B ) @ C )
=> ( ! [X3: refine432681134nres_b,Y4: refine432681134nres_b] :
( ( ord_le527798542nres_b @ X3 @ Y4 )
=> ( ord_le527798542nres_b @ ( F @ X3 ) @ ( F @ Y4 ) ) )
=> ( ord_le527798542nres_b @ ( F @ A ) @ C ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[397]) ).
thf(484,plain,
( ( ! [A: refine432681134nres_b,B: refine432681134nres_b,F: refine432681134nres_b > refine424419629nres_a,C: refine424419629nres_a] :
( ( ord_le527798542nres_b @ A @ B )
=> ( ( ord_le519537037nres_a @ ( F @ B ) @ C )
=> ( ! [X3: refine432681134nres_b,Y4: refine432681134nres_b] :
( ( ord_le527798542nres_b @ X3 @ Y4 )
=> ( ord_le519537037nres_a @ ( F @ X3 ) @ ( F @ Y4 ) ) )
=> ( ord_le519537037nres_a @ ( F @ A ) @ C ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[396]) ).
thf(485,plain,
( ( ! [A: refine424419629nres_a,B: refine424419629nres_a,F: refine424419629nres_a > refine432681134nres_b,C: refine432681134nres_b] :
( ( ord_le519537037nres_a @ A @ B )
=> ( ( ord_le527798542nres_b @ ( F @ B ) @ C )
=> ( ! [X3: refine424419629nres_a,Y4: refine424419629nres_a] :
( ( ord_le519537037nres_a @ X3 @ Y4 )
=> ( ord_le527798542nres_b @ ( F @ X3 ) @ ( F @ Y4 ) ) )
=> ( ord_le527798542nres_b @ ( F @ A ) @ C ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[395]) ).
thf(486,plain,
( ( ! [P: refine432681134nres_b > $o,X4: refine432681134nres_b] :
( ( P @ X4 )
=> ( ! [Y4: refine432681134nres_b] :
( ( P @ Y4 )
=> ( ord_le527798542nres_b @ Y4 @ X4 ) )
=> ( ( order_1722590613nres_b @ P )
= X4 ) ) ) )
= $true ),
inference(copy,[status(thm)],[394]) ).
thf(487,plain,
( ( ! [P: refine432681134nres_b > $o,X4: refine432681134nres_b,Q: refine432681134nres_b > $o] :
( ( P @ X4 )
=> ( ! [Y4: refine432681134nres_b] :
( ( P @ Y4 )
=> ( ord_le527798542nres_b @ Y4 @ X4 ) )
=> ( ! [X3: refine432681134nres_b] :
( ( P @ X3 )
=> ( ! [Y7: refine432681134nres_b] :
( ( P @ Y7 )
=> ( ord_le527798542nres_b @ Y7 @ X3 ) )
=> ( Q @ X3 ) ) )
=> ( Q @ ( order_1722590613nres_b @ P ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[393]) ).
thf(488,plain,
( ( ord_le1656162903nres_b
= ( ^ [X6: $o > refine432681134nres_b,Y8: $o > refine432681134nres_b] :
( ( ord_le527798542nres_b @ ( X6 @ $false ) @ ( Y8 @ $false ) )
& ( ord_le527798542nres_b @ ( X6 @ $true ) @ ( Y8 @ $true ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[392]) ).
thf(489,plain,
( ( ! [A: refine432681134nres_b,B: refine432681134nres_b,C: refine432681134nres_b,D: refine432681134nres_b] :
( ( A = B )
=> ( ( ord_le527798542nres_b @ B @ C )
=> ( ( C = D )
=> ( ord_le527798542nres_b @ A @ D ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[391]) ).
thf(490,plain,
( ( ! [X: set_a] : ( refine412683989fail_a @ ( refine1198353288_RES_a @ X ) ) )
= $true ),
inference(copy,[status(thm)],[390]) ).
thf(491,plain,
( ( ! [S: refine432681134nres_b,S3: refine432681134nres_b] :
( ( ord_le527798542nres_b @ S @ S3 )
=> ( ( refine412683990fail_b @ S3 )
=> ( refine412683990fail_b @ S ) ) ) )
= $true ),
inference(copy,[status(thm)],[389]) ).
thf(492,plain,
( ( ! [M3: refine432681134nres_b,M4: refine432681134nres_b] :
( ( ( refine412683990fail_b @ M3 )
=> ( ord_le527798542nres_b @ M4 @ M3 ) )
=> ( ord_le527798542nres_b @ M4 @ M3 ) ) )
= $true ),
inference(copy,[status(thm)],[388]) ).
thf(493,plain,
( ( refine412683989fail_a
= ( ^ [M5: refine424419629nres_a] :
? [M6: set_a] :
( M5
= ( refine1198353288_RES_a @ M6 ) ) ) )
= $true ),
inference(copy,[status(thm)],[387]) ).
thf(494,plain,
( ( ! [A3: refine432681134nres_b,R: set_Product_prod_b_b,B3: refine432681134nres_b,C2: refine432681134nres_b] :
( ( ord_le527798542nres_b @ A3 @ ( refine122110613un_b_b @ R @ B3 ) )
=> ( ( ord_le527798542nres_b @ B3 @ C2 )
=> ( ord_le527798542nres_b @ A3 @ ( refine122110613un_b_b @ R @ C2 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[386]) ).
thf(495,plain,
( ( ! [Phi: a > $o,X7: a,M: refine432681134nres_b,R: set_Product_prod_b_b,F2: a > refine432681134nres_b] :
( ( Phi @ X7 )
=> ( ( ord_le527798542nres_b @ M @ ( refine122110613un_b_b @ R @ ( F2 @ X7 ) ) )
=> ( ord_le527798542nres_b @ M @ ( refine122110613un_b_b @ R @ ( refine436832839nd_a_b @ ( refine1198353288_RES_a @ ( collect_a @ Phi ) ) @ F2 ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[385]) ).
thf(496,plain,
( ( ! [S: refine432681134nres_b,S3: refine432681134nres_b,X4: b] :
( ( ord_le527798542nres_b @ S @ S3 )
=> ( ( refine1001002028nres_b @ S @ X4 )
=> ( refine1001002028nres_b @ S3 @ X4 ) ) ) )
= $true ),
inference(copy,[status(thm)],[384]) ).
thf(497,plain,
( ( ! [P: a > $o,Q: a > $o] :
( ( ord_less_eq_set_a @ ( collect_a @ P ) @ ( collect_a @ Q ) )
= ( ! [X5: a] :
( ( P @ X5 )
=> ( Q @ X5 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[383]) ).
thf(498,plain,
( ( ! [P: a > $o,Q: a > $o] :
( ! [X3: a] :
( ( P @ X3 )
=> ( Q @ X3 ) )
=> ( ord_less_eq_set_a @ ( collect_a @ P ) @ ( collect_a @ Q ) ) ) )
= $true ),
inference(copy,[status(thm)],[382]) ).
thf(499,plain,
( ( ! [Uu2: refine432681134nres_b] : ( ord_le527798542nres_b @ Uu2 @ refine464223678AILi_b ) )
= $true ),
inference(copy,[status(thm)],[381]) ).
thf(500,plain,
( ( ! [X2: set_a] :
( refine464223677AILi_a
!= ( refine1198353288_RES_a @ X2 ) ) )
= $true ),
inference(copy,[status(thm)],[380]) ).
thf(501,plain,
( ( ! [P: refine424419629nres_a > $o,Nres: refine424419629nres_a] :
( ( P @ refine464223677AILi_a )
=> ( ! [X3: set_a] : ( P @ ( refine1198353288_RES_a @ X3 ) )
=> ( P @ Nres ) ) ) )
= $true ),
inference(copy,[status(thm)],[379]) ).
thf(502,plain,
( ( ! [Y3: refine424419629nres_a] :
( ( Y3 != refine464223677AILi_a )
=> ~ ! [X22: set_a] :
( Y3
!= ( refine1198353288_RES_a @ X22 ) ) ) )
= $true ),
inference(copy,[status(thm)],[378]) ).
thf(503,plain,
( ( ! [P: refine424419629nres_a > refine424419629nres_a > $o,A0: refine424419629nres_a,A1: refine424419629nres_a] :
( ! [Uu: refine424419629nres_a] : ( P @ Uu @ refine464223677AILi_a )
=> ( ! [V: set_a] : ( P @ refine464223677AILi_a @ ( refine1198353288_RES_a @ V ) )
=> ( ! [A5: set_a,B5: set_a] : ( P @ ( refine1198353288_RES_a @ A5 ) @ ( refine1198353288_RES_a @ B5 ) )
=> ( P @ A0 @ A1 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[377]) ).
thf(504,plain,
( ( ! [P: refine424419629nres_a > refine424419629nres_a > $o,A0: refine424419629nres_a,A1: refine424419629nres_a] :
( ! [X_1: refine424419629nres_a] : ( P @ refine464223677AILi_a @ X_1 )
=> ( ! [Uv: set_a] : ( P @ ( refine1198353288_RES_a @ Uv ) @ refine464223677AILi_a )
=> ( ! [A5: set_a,B5: set_a] : ( P @ ( refine1198353288_RES_a @ A5 ) @ ( refine1198353288_RES_a @ B5 ) )
=> ( P @ A0 @ A1 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[376]) ).
thf(505,plain,
( ( ! [P: refine424419629nres_a > refine424419629nres_a > $o,A0: refine424419629nres_a,A1: refine424419629nres_a] :
( ! [Uu: refine424419629nres_a] : ( P @ Uu @ refine464223677AILi_a )
=> ( ! [A5: set_a,B5: set_a] : ( P @ ( refine1198353288_RES_a @ A5 ) @ ( refine1198353288_RES_a @ B5 ) )
=> ( ! [Uv: set_a] : ( P @ refine464223677AILi_a @ ( refine1198353288_RES_a @ Uv ) )
=> ( P @ A0 @ A1 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[375]) ).
thf(506,plain,
( ( ! [X4: b,Y3: b] :
( ( ord_le527798542nres_b @ ( refine2063221605TURN_b @ X4 ) @ ( refine2063221605TURN_b @ Y3 ) )
= ( X4 = Y3 ) ) )
= $true ),
inference(copy,[status(thm)],[374]) ).
thf(507,plain,
( ( ! [X4: a,F: a > refine432681134nres_b] :
( ( refine436832839nd_a_b @ ( refine2063221604TURN_a @ X4 ) @ F )
= ( F @ X4 ) ) )
= $true ),
inference(copy,[status(thm)],[373]) ).
thf(508,plain,
( ( ! [SY15: a] :
( ( refine1198353288_RES_a
@ ( collect_a
@ ^ [SY16: a] : ( SY15 = SY16 ) ) )
= ( refine2063221604TURN_a @ SY15 ) ) )
= $true ),
inference(copy,[status(thm)],[372]) ).
thf(509,plain,
( ( ! [A3: refine432681134nres_b,B3: refine432681134nres_b,R: set_Product_prod_b_b,C2: refine432681134nres_b] :
( ( ord_le527798542nres_b @ A3 @ B3 )
=> ( ( ord_le527798542nres_b @ ( refine1964549110un_b_b @ R @ B3 ) @ C2 )
=> ( ord_le527798542nres_b @ ( refine1964549110un_b_b @ R @ A3 ) @ C2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[371]) ).
thf(510,plain,
( ( ! [M4: refine432681134nres_b] :
( ( ord_le527798542nres_b @ top_to240090974nres_b @ M4 )
= ( M4 = top_to240090974nres_b ) ) )
= $true ),
inference(copy,[status(thm)],[370]) ).
thf(511,plain,
( ( ! [A: refine432681134nres_b] : ( ord_le527798542nres_b @ A @ top_to240090974nres_b ) )
= $true ),
inference(copy,[status(thm)],[369]) ).
thf(512,plain,
( ( ! [A: refine432681134nres_b] :
( ( ord_le527798542nres_b @ top_to240090974nres_b @ A )
= ( A = top_to240090974nres_b ) ) )
= $true ),
inference(copy,[status(thm)],[368]) ).
thf(513,plain,
( ( ! [A: refine432681134nres_b] :
( ( ord_le527798542nres_b @ top_to240090974nres_b @ A )
=> ( A = top_to240090974nres_b ) ) )
= $true ),
inference(copy,[status(thm)],[367]) ).
thf(514,plain,
( ( ! [M4: refine432681134nres_b] : ( ord_le527798542nres_b @ M4 @ top_to240090974nres_b ) )
= $true ),
inference(copy,[status(thm)],[366]) ).
thf(515,plain,
( ( ! [X: set_a] :
( top_to231829469nres_a
!= ( refine1198353288_RES_a @ X ) ) )
= $true ),
inference(copy,[status(thm)],[365]) ).
thf(516,plain,
( ( ! [M4: refine424419629nres_a] :
( ( M4 != top_to231829469nres_a )
=> ~ ! [X12: set_a] :
( M4
!= ( refine1198353288_RES_a @ X12 ) ) ) )
= $true ),
inference(copy,[status(thm)],[364]) ).
thf(517,plain,
( ( ! [M: refine432681134nres_b,X4: refine432681134nres_b] :
( ( M = top_to240090974nres_b )
=> ( ord_le527798542nres_b @ X4 @ M ) ) )
= $true ),
inference(copy,[status(thm)],[363]) ).
thf(518,plain,
( ( ! [P: $o] :
( ( P = $true )
| ( P = $false ) ) )
= $true ),
inference(copy,[status(thm)],[362]) ).
thf(519,plain,
( ( ~ ( ord_le527798542nres_b @ m @ ( refine436832839nd_a_b @ ( refine1198353288_RES_a @ ( collect_a @ phi ) ) @ f ) ) )
= $true ),
inference(copy,[status(thm)],[440]) ).
thf(520,plain,
( ( ! [SX0: refine432681134nres_b,SX1: refine432681134nres_b] :
( ~ ( ord_le527798542nres_b @ SX0 @ SX1 )
| ( ( ord_le527798542nres_b @ SX1 @ SX0 )
= ( SX1 = SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[469]) ).
thf(521,plain,
( ( ! [SX0: refine432681134nres_b > $o,SX1: refine432681134nres_b] :
( ~ ( SX0 @ SX1 )
| ~ ! [SX2: refine432681134nres_b] :
( ~ ( SX0 @ SX2 )
| ( ord_le527798542nres_b @ SX2 @ SX1 ) )
| ( ( order_1722590613nres_b @ SX0 )
= SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[486]) ).
thf(522,plain,
( ( ! [SX0: $o,SX1: refine432681134nres_b,SX2: refine432681134nres_b,SX3: refine432681134nres_b,SX4: refine432681134nres_b] :
( ~ ( ~ SX0
| ( ord_le527798542nres_b @ SX1 @ SX2 ) )
| ~ ( ~ ~ SX0
| ( ord_le527798542nres_b @ SX3 @ SX4 ) )
| ( ord_le527798542nres_b @ ( if_Ref1732808808nres_b @ SX0 @ SX1 @ SX3 ) @ ( if_Ref1732808808nres_b @ SX0 @ SX2 @ SX4 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[455]) ).
thf(523,plain,
( ( ! [SX0: refine432681134nres_b,SX1: refine432681134nres_b,SX2: refine432681134nres_b] :
( ~ ( ord_le527798542nres_b @ SX0 @ SX1 )
| ~ ( ord_le527798542nres_b @ SX2 @ SX0 )
| ( ord_le527798542nres_b @ SX2 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[462]) ).
thf(524,plain,
( ( ! [SX0: refine432681134nres_b,SX1: set_Product_prod_b_b,SX2: refine432681134nres_b,SX3: refine432681134nres_b] :
( ~ ( ord_le527798542nres_b @ SX0 @ ( refine122110613un_b_b @ SX1 @ SX2 ) )
| ~ ( ord_le527798542nres_b @ SX2 @ SX3 )
| ( ord_le527798542nres_b @ SX0 @ ( refine122110613un_b_b @ SX1 @ SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[494]) ).
thf(525,plain,
( ( ! [SX0: refine432681134nres_b,SX1: refine432681134nres_b] :
( ( SX0 != SX1 )
| ( ord_le527798542nres_b @ SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[471]) ).
thf(526,plain,
( ( ! [SX0: refine432681134nres_b,SX1: refine432681134nres_b] :
( ~ ( ord_le527798542nres_b @ SX0 @ SX1 )
| ~ ( ord_le527798542nres_b @ SX1 @ SX0 )
| ( SX0 = SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[472]) ).
thf(527,plain,
( ( ! [SX0: refine432681134nres_b,SX1: refine432681134nres_b,SX2: refine432681134nres_b] :
( ( SX0 != SX1 )
| ~ ( ord_le527798542nres_b @ SX1 @ SX2 )
| ( ord_le527798542nres_b @ SX0 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[467]) ).
thf(528,plain,
( ( ! [SX0: refine424419629nres_a > $o,SX1: refine424419629nres_a] :
( ~ ( SX0 @ refine464223677AILi_a )
| ~ ! [SX2: set_a] : ( SX0 @ ( refine1198353288_RES_a @ SX2 ) )
| ( SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[501]) ).
thf(529,plain,
( ( ! [SX0: $o > refine432681134nres_b,SX1: $o > refine432681134nres_b,SX2: $o] :
( ~ ( ord_le1656162903nres_b @ SX0 @ SX1 )
| ( ord_le527798542nres_b @ ( SX0 @ SX2 ) @ ( SX1 @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[454]) ).
thf(530,plain,
( ( ! [SX0: set_a] :
( top_to231829469nres_a
!= ( refine1198353288_RES_a @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[515]) ).
thf(531,plain,
( ( ! [SX0: refine424419629nres_a,SX1: a > $o,SX2: a > $o] :
( ~ ( ord_le519537037nres_a @ SX0 @ ( refine1198353288_RES_a @ ( collect_a @ SX1 ) ) )
| ~ ! [SX3: a] :
( ~ ( SX1 @ SX3 )
| ( SX2 @ SX3 ) )
| ( ord_le519537037nres_a @ SX0 @ ( refine1198353288_RES_a @ ( collect_a @ SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[448]) ).
thf(532,plain,
( ( ! [SX0: refine424419629nres_a > refine424419629nres_a > $o,SX1: refine424419629nres_a,SX2: refine424419629nres_a] :
( ~ ! [SX3: refine424419629nres_a] : ( SX0 @ refine464223677AILi_a @ SX3 )
| ~ ! [SX3: set_a] : ( SX0 @ ( refine1198353288_RES_a @ SX3 ) @ refine464223677AILi_a )
| ~ ! [SX3: set_a,SX4: set_a] : ( SX0 @ ( refine1198353288_RES_a @ SX3 ) @ ( refine1198353288_RES_a @ SX4 ) )
| ( SX0 @ SX1 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[504]) ).
thf(533,plain,
( ( ! [SX0: a > $o,SX1: a > $o] :
( ~ ! [SX2: a] :
( ( SX0 @ SX2 )
= ( SX1 @ SX2 ) )
| ( ( collect_a @ SX0 )
= ( collect_a @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[475]) ).
thf(534,plain,
( ( ! [SX0: refine432681134nres_b,SX1: refine432681134nres_b,SX2: refine432681134nres_b,SX3: refine432681134nres_b] :
( ( SX0 != SX1 )
| ~ ( ord_le527798542nres_b @ SX1 @ SX2 )
| ( SX2 != SX3 )
| ( ord_le527798542nres_b @ SX0 @ SX3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[489]) ).
thf(535,plain,
( ( ! [SX0: refine432681134nres_b,SX1: refine432681134nres_b,SX2: refine432681134nres_b > refine424419629nres_a,SX3: refine424419629nres_a] :
( ~ ( ord_le527798542nres_b @ SX0 @ SX1 )
| ( ( SX2 @ SX1 )
!= SX3 )
| ~ ! [SX4: refine432681134nres_b,SX5: refine432681134nres_b] :
( ~ ( ord_le527798542nres_b @ SX4 @ SX5 )
| ( ord_le519537037nres_a @ ( SX2 @ SX4 ) @ ( SX2 @ SX5 ) ) )
| ( ord_le519537037nres_a @ ( SX2 @ SX0 ) @ SX3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[478]) ).
thf(536,plain,
( ( ! [SX0: refine432681134nres_b,SX1: refine432681134nres_b,SX2: refine432681134nres_b > refine432681134nres_b,SX3: refine432681134nres_b] :
( ~ ( ord_le527798542nres_b @ SX0 @ SX1 )
| ( ( SX2 @ SX1 )
!= SX3 )
| ~ ! [SX4: refine432681134nres_b,SX5: refine432681134nres_b] :
( ~ ( ord_le527798542nres_b @ SX4 @ SX5 )
| ( ord_le527798542nres_b @ ( SX2 @ SX4 ) @ ( SX2 @ SX5 ) ) )
| ( ord_le527798542nres_b @ ( SX2 @ SX0 ) @ SX3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[477]) ).
thf(537,plain,
( ( ! [SX0: refine432681134nres_b,SX1: refine432681134nres_b,SX2: refine432681134nres_b] :
( ~ ( ord_le527798542nres_b @ SX0 @ SX1 )
| ~ ( ord_le527798542nres_b @ SX1 @ SX2 )
| ( ord_le527798542nres_b @ SX0 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[464]) ).
thf(538,plain,
( ( ! [SX0: $o,SX1: refine432681134nres_b,SX2: refine432681134nres_b,SX3: refine432681134nres_b] :
( ~ ( ~ SX0
| ( ord_le527798542nres_b @ SX1 @ SX2 ) )
| ~ ( ~ ~ SX0
| ( ord_le527798542nres_b @ SX3 @ SX2 ) )
| ( ord_le527798542nres_b @ ( if_Ref1732808808nres_b @ SX0 @ SX1 @ SX3 ) @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[447]) ).
thf(539,plain,
( ( ! [SX0: refine424419629nres_a > refine424419629nres_a > $o,SX1: refine424419629nres_a,SX2: refine424419629nres_a] :
( ~ ! [SX3: refine424419629nres_a] : ( SX0 @ SX3 @ refine464223677AILi_a )
| ~ ! [SX3: set_a,SX4: set_a] : ( SX0 @ ( refine1198353288_RES_a @ SX3 ) @ ( refine1198353288_RES_a @ SX4 ) )
| ~ ! [SX3: set_a] : ( SX0 @ refine464223677AILi_a @ ( refine1198353288_RES_a @ SX3 ) )
| ( SX0 @ SX1 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[505]) ).
thf(540,plain,
( ( ! [SX0: a > $o,SX1: a,SX2: refine432681134nres_b,SX3: set_Product_prod_b_b,SX4: a > refine432681134nres_b] :
( ~ ( SX0 @ SX1 )
| ~ ( ord_le527798542nres_b @ SX2 @ ( refine122110613un_b_b @ SX3 @ ( SX4 @ SX1 ) ) )
| ( ord_le527798542nres_b @ SX2 @ ( refine122110613un_b_b @ SX3 @ ( refine436832839nd_a_b @ ( refine1198353288_RES_a @ ( collect_a @ SX0 ) ) @ SX4 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[495]) ).
thf(541,plain,
( ( ! [SX0: refine432681134nres_b,SX1: refine432681134nres_b,SX2: refine432681134nres_b > refine432681134nres_b,SX3: refine432681134nres_b] :
( ~ ( ord_le527798542nres_b @ SX0 @ SX1 )
| ~ ( ord_le527798542nres_b @ ( SX2 @ SX1 ) @ SX3 )
| ~ ! [SX4: refine432681134nres_b,SX5: refine432681134nres_b] :
( ~ ( ord_le527798542nres_b @ SX4 @ SX5 )
| ( ord_le527798542nres_b @ ( SX2 @ SX4 ) @ ( SX2 @ SX5 ) ) )
| ( ord_le527798542nres_b @ ( SX2 @ SX0 ) @ SX3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[483]) ).
thf(542,plain,
( ( ! [SX0: refine432681134nres_b,SX1: refine424419629nres_a > refine432681134nres_b,SX2: refine424419629nres_a,SX3: refine424419629nres_a] :
( ~ ( ord_le527798542nres_b @ SX0 @ ( SX1 @ SX2 ) )
| ~ ( ord_le519537037nres_a @ SX2 @ SX3 )
| ~ ! [SX4: refine424419629nres_a,SX5: refine424419629nres_a] :
( ~ ( ord_le519537037nres_a @ SX4 @ SX5 )
| ( ord_le527798542nres_b @ ( SX1 @ SX4 ) @ ( SX1 @ SX5 ) ) )
| ( ord_le527798542nres_b @ SX0 @ ( SX1 @ SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[457]) ).
thf(543,plain,
( ( ! [SX0: refine432681134nres_b,SX1: refine432681134nres_b] :
( ( SX0 != top_to240090974nres_b )
| ( ord_le527798542nres_b @ SX1 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[517]) ).
thf(544,plain,
( ( ! [SX0: refine432681134nres_b,SX1: refine432681134nres_b,SX2: set_Product_prod_b_b,SX3: refine432681134nres_b] :
( ~ ( ord_le527798542nres_b @ SX0 @ SX1 )
| ~ ( ord_le527798542nres_b @ ( refine1964549110un_b_b @ SX2 @ SX1 ) @ SX3 )
| ( ord_le527798542nres_b @ ( refine1964549110un_b_b @ SX2 @ SX0 ) @ SX3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[509]) ).
thf(545,plain,
( ( ( ^ [SX0: refine432681134nres_b,SX1: refine432681134nres_b] : ( SX0 = SX1 ) )
= ( ^ [SX0: refine432681134nres_b,SX1: refine432681134nres_b] :
~ ( ~ ( ord_le527798542nres_b @ SX0 @ SX1 )
| ~ ( ord_le527798542nres_b @ SX1 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[476]) ).
thf(546,plain,
( ( ! [SX0: refine432681134nres_b,SX1: refine432681134nres_b,SX2: refine432681134nres_b] :
( ~ ( ord_le527798542nres_b @ SX0 @ SX1 )
| ~ ( ord_le527798542nres_b @ SX1 @ SX2 )
| ( ord_le527798542nres_b @ SX0 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[470]) ).
thf(547,plain,
( ( ! [SX0: refine424419629nres_a,SX1: refine424419629nres_a,SX2: a > $o] :
( ~ ( ord_le519537037nres_a @ SX0 @ SX1 )
| ~ ( ord_le519537037nres_a @ SX1 @ ( refine1198353288_RES_a @ ( collect_a @ SX2 ) ) )
| ( ord_le519537037nres_a @ SX0 @ ( refine1198353288_RES_a @ ( collect_a @ SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[446]) ).
thf(548,plain,
( ( ! [SX0: refine432681134nres_b,SX1: refine432681134nres_b] :
( ~ ( ord_le527798542nres_b @ SX0 @ SX1 )
| ~ ( refine412683990fail_b @ SX1 )
| ( refine412683990fail_b @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[491]) ).
thf(549,plain,
( ( ! [SX0: a > $o,SX1: a > $o] :
( ~ ! [SX2: a] :
( ~ ( SX0 @ SX2 )
| ( SX1 @ SX2 ) )
| ( ord_less_eq_set_a @ ( collect_a @ SX0 ) @ ( collect_a @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[498]) ).
thf(550,plain,
( ( ! [SX0: refine424419629nres_a,SX1: refine432681134nres_b > refine424419629nres_a,SX2: refine432681134nres_b,SX3: refine432681134nres_b] :
( ~ ( ord_le519537037nres_a @ SX0 @ ( SX1 @ SX2 ) )
| ~ ( ord_le527798542nres_b @ SX2 @ SX3 )
| ~ ! [SX4: refine432681134nres_b,SX5: refine432681134nres_b] :
( ~ ( ord_le527798542nres_b @ SX4 @ SX5 )
| ( ord_le519537037nres_a @ ( SX1 @ SX4 ) @ ( SX1 @ SX5 ) ) )
| ( ord_le519537037nres_a @ SX0 @ ( SX1 @ SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[458]) ).
thf(551,plain,
( ( ! [SX0: refine432681134nres_b,SX1: refine432681134nres_b > refine432681134nres_b,SX2: refine432681134nres_b,SX3: refine432681134nres_b] :
( ( SX0
!= ( SX1 @ SX2 ) )
| ~ ( ord_le527798542nres_b @ SX2 @ SX3 )
| ~ ! [SX4: refine432681134nres_b,SX5: refine432681134nres_b] :
( ~ ( ord_le527798542nres_b @ SX4 @ SX5 )
| ( ord_le527798542nres_b @ ( SX1 @ SX4 ) @ ( SX1 @ SX5 ) ) )
| ( ord_le527798542nres_b @ SX0 @ ( SX1 @ SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[480]) ).
thf(552,plain,
( ( ! [SX0: a,SX1: set_a,SX2: refine432681134nres_b,SX3: a > refine432681134nres_b] :
( ~ ( member_a @ SX0 @ SX1 )
| ~ ( ord_le527798542nres_b @ SX2 @ ( SX3 @ SX0 ) )
| ( ord_le527798542nres_b @ SX2 @ ( refine436832839nd_a_b @ ( refine1198353288_RES_a @ SX1 ) @ SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[449]) ).
thf(553,plain,
( ( ! [SX0: refine432681134nres_b,SX1: refine432681134nres_b,SX2: refine432681134nres_b,SX3: refine432681134nres_b,SX4: $o] :
( ~ ( ord_le527798542nres_b @ SX0 @ SX1 )
| ~ ( ord_le527798542nres_b @ SX2 @ SX3 )
| ( ord_le527798542nres_b @ ( if_Ref1732808808nres_b @ SX4 @ SX0 @ SX2 ) @ ( if_Ref1732808808nres_b @ SX4 @ SX1 @ SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[459]) ).
thf(554,plain,
( ( ! [SX0: refine424419629nres_a] :
( ~ ( ( SX0 != top_to231829469nres_a ) )
| ~ ! [SX1: set_a] :
( SX0
!= ( refine1198353288_RES_a @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[516]) ).
thf(555,plain,
( ( ( ^ [SX0: refine432681134nres_b,SX1: refine432681134nres_b] : ( SX0 = SX1 ) )
= ( ^ [SX0: refine432681134nres_b,SX1: refine432681134nres_b] :
~ ( ~ ( ord_le527798542nres_b @ SX0 @ SX1 )
| ~ ( ord_le527798542nres_b @ SX1 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[468]) ).
thf(556,plain,
( ( ! [SX0: refine432681134nres_b,SX1: refine432681134nres_b,SX2: refine432681134nres_b] :
( ~ ( ord_le527798542nres_b @ SX0 @ SX1 )
| ( SX1 != SX2 )
| ( ord_le527798542nres_b @ SX0 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[466]) ).
thf(557,plain,
( ( ! [SX0: a > $o,SX1: a > $o] :
( ~ ! [SX2: a] :
( ~ ( SX0 @ SX2 )
| ( SX1 @ SX2 ) )
| ( ord_le519537037nres_a @ ( refine1198353288_RES_a @ ( collect_a @ SX0 ) ) @ ( refine1198353288_RES_a @ ( collect_a @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[445]) ).
thf(558,plain,
( ( ! [SX0: set_a] :
( refine464223677AILi_a
!= ( refine1198353288_RES_a @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[500]) ).
thf(559,plain,
( ( refine412683989fail_a
= ( ^ [SX0: refine424419629nres_a] :
~ ! [SX1: set_a] :
( SX0
!= ( refine1198353288_RES_a @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[493]) ).
thf(560,plain,
( ( ! [SX0: refine424419629nres_a,SX1: refine424419629nres_a,SX2: refine424419629nres_a > refine432681134nres_b,SX3: refine432681134nres_b] :
( ~ ( ord_le519537037nres_a @ SX0 @ SX1 )
| ( ( SX2 @ SX1 )
!= SX3 )
| ~ ! [SX4: refine424419629nres_a,SX5: refine424419629nres_a] :
( ~ ( ord_le519537037nres_a @ SX4 @ SX5 )
| ( ord_le527798542nres_b @ ( SX2 @ SX4 ) @ ( SX2 @ SX5 ) ) )
| ( ord_le527798542nres_b @ ( SX2 @ SX0 ) @ SX3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[479]) ).
thf(561,plain,
( ( ! [SX0: refine432681134nres_b,SX1: refine432681134nres_b > refine432681134nres_b,SX2: refine432681134nres_b,SX3: refine432681134nres_b] :
( ~ ( ord_le527798542nres_b @ SX0 @ ( SX1 @ SX2 ) )
| ~ ( ord_le527798542nres_b @ SX2 @ SX3 )
| ~ ! [SX4: refine432681134nres_b,SX5: refine432681134nres_b] :
( ~ ( ord_le527798542nres_b @ SX4 @ SX5 )
| ( ord_le527798542nres_b @ ( SX1 @ SX4 ) @ ( SX1 @ SX5 ) ) )
| ( ord_le527798542nres_b @ SX0 @ ( SX1 @ SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[456]) ).
thf(562,plain,
( ( ! [SX0: refine424419629nres_a > refine424419629nres_a > $o,SX1: refine424419629nres_a,SX2: refine424419629nres_a] :
( ~ ! [SX3: refine424419629nres_a] : ( SX0 @ SX3 @ refine464223677AILi_a )
| ~ ! [SX3: set_a] : ( SX0 @ refine464223677AILi_a @ ( refine1198353288_RES_a @ SX3 ) )
| ~ ! [SX3: set_a,SX4: set_a] : ( SX0 @ ( refine1198353288_RES_a @ SX3 ) @ ( refine1198353288_RES_a @ SX4 ) )
| ( SX0 @ SX1 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[503]) ).
thf(563,plain,
( ( ! [SX0: a > $o,SX1: a > $o] :
( ( ord_less_eq_set_a @ ( collect_a @ SX0 ) @ ( collect_a @ SX1 ) )
= ( ! [SX2: a] :
( ~ ( SX0 @ SX2 )
| ( SX1 @ SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[497]) ).
thf(564,plain,
( ( ! [SX0: refine432681134nres_b] :
( ~ ( ord_le527798542nres_b @ top_to240090974nres_b @ SX0 )
| ( SX0 = top_to240090974nres_b ) ) )
= $true ),
inference(unfold_def,[status(thm)],[513]) ).
thf(565,plain,
( ( ! [SX0: refine424419629nres_a] :
( ~ ( ( SX0 != refine464223677AILi_a ) )
| ~ ! [SX1: set_a] :
( SX0
!= ( refine1198353288_RES_a @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[502]) ).
thf(566,plain,
( ( ! [SX0: refine424419629nres_a,SX1: refine432681134nres_b > refine424419629nres_a,SX2: refine432681134nres_b,SX3: refine432681134nres_b] :
( ( SX0
!= ( SX1 @ SX2 ) )
| ~ ( ord_le527798542nres_b @ SX2 @ SX3 )
| ~ ! [SX4: refine432681134nres_b,SX5: refine432681134nres_b] :
( ~ ( ord_le527798542nres_b @ SX4 @ SX5 )
| ( ord_le519537037nres_a @ ( SX1 @ SX4 ) @ ( SX1 @ SX5 ) ) )
| ( ord_le519537037nres_a @ SX0 @ ( SX1 @ SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[481]) ).
thf(567,plain,
( ( ! [SX0: $o > refine432681134nres_b,SX1: $o > refine432681134nres_b,SX2: $o] :
( ~ ( ord_le1656162903nres_b @ SX0 @ SX1 )
| ( ord_le527798542nres_b @ ( SX0 @ SX2 ) @ ( SX1 @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[453]) ).
thf(568,plain,
( ( ! [SX0: refine432681134nres_b,SX1: refine432681134nres_b,SX2: b] :
( ~ ( ord_le527798542nres_b @ SX0 @ SX1 )
| ~ ( refine1001002028nres_b @ SX0 @ SX2 )
| ( refine1001002028nres_b @ SX1 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[496]) ).
thf(569,plain,
( ( ( ^ [SX0: refine432681134nres_b,SX1: refine432681134nres_b] : ( SX0 = SX1 ) )
= ( ^ [SX0: refine432681134nres_b,SX1: refine432681134nres_b] :
~ ( ~ ( ord_le527798542nres_b @ SX1 @ SX0 )
| ~ ( ord_le527798542nres_b @ SX0 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[461]) ).
thf(570,plain,
( ( ! [SX0: refine424419629nres_a,SX1: refine424419629nres_a,SX2: refine424419629nres_a > refine432681134nres_b,SX3: refine432681134nres_b] :
( ~ ( ord_le519537037nres_a @ SX0 @ SX1 )
| ~ ( ord_le527798542nres_b @ ( SX2 @ SX1 ) @ SX3 )
| ~ ! [SX4: refine424419629nres_a,SX5: refine424419629nres_a] :
( ~ ( ord_le519537037nres_a @ SX4 @ SX5 )
| ( ord_le527798542nres_b @ ( SX2 @ SX4 ) @ ( SX2 @ SX5 ) ) )
| ( ord_le527798542nres_b @ ( SX2 @ SX0 ) @ SX3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[485]) ).
thf(571,plain,
( ( ! [SX0: refine432681134nres_b > $o,SX1: refine432681134nres_b,SX2: refine432681134nres_b > $o] :
( ~ ( SX0 @ SX1 )
| ~ ! [SX3: refine432681134nres_b] :
( ~ ( SX0 @ SX3 )
| ( ord_le527798542nres_b @ SX3 @ SX1 ) )
| ~ ! [SX3: refine432681134nres_b] :
( ~ ( SX0 @ SX3 )
| ~ ! [SX4: refine432681134nres_b] :
( ~ ( SX0 @ SX4 )
| ( ord_le527798542nres_b @ SX4 @ SX3 ) )
| ( SX2 @ SX3 ) )
| ( SX2 @ ( order_1722590613nres_b @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[487]) ).
thf(572,plain,
( ( ! [SX0: refine432681134nres_b,SX1: refine432681134nres_b] :
( ~ ( ~ ( refine412683990fail_b @ SX0 )
| ( ord_le527798542nres_b @ SX1 @ SX0 ) )
| ( ord_le527798542nres_b @ SX1 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[492]) ).
thf(573,plain,
( ( ! [SX0: refine432681134nres_b,SX1: refine424419629nres_a > refine432681134nres_b,SX2: refine424419629nres_a,SX3: refine424419629nres_a] :
( ( SX0
!= ( SX1 @ SX2 ) )
| ~ ( ord_le519537037nres_a @ SX2 @ SX3 )
| ~ ! [SX4: refine424419629nres_a,SX5: refine424419629nres_a] :
( ~ ( ord_le519537037nres_a @ SX4 @ SX5 )
| ( ord_le527798542nres_b @ ( SX1 @ SX4 ) @ ( SX1 @ SX5 ) ) )
| ( ord_le527798542nres_b @ SX0 @ ( SX1 @ SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[482]) ).
thf(574,plain,
( ( ! [SX0: refine432681134nres_b,SX1: refine432681134nres_b] :
( ~ ( ord_le527798542nres_b @ SX0 @ SX1 )
| ~ ( ord_le527798542nres_b @ SX1 @ SX0 )
| ( SX1 = SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[460]) ).
thf(575,plain,
( ( ! [SX0: refine432681134nres_b,SX1: refine432681134nres_b,SX2: refine432681134nres_b > refine424419629nres_a,SX3: refine424419629nres_a] :
( ~ ( ord_le527798542nres_b @ SX0 @ SX1 )
| ~ ( ord_le519537037nres_a @ ( SX2 @ SX1 ) @ SX3 )
| ~ ! [SX4: refine432681134nres_b,SX5: refine432681134nres_b] :
( ~ ( ord_le527798542nres_b @ SX4 @ SX5 )
| ( ord_le519537037nres_a @ ( SX2 @ SX4 ) @ ( SX2 @ SX5 ) ) )
| ( ord_le519537037nres_a @ ( SX2 @ SX0 ) @ SX3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[484]) ).
thf(576,plain,
( ( ! [SX0: refine432681134nres_b,SX1: refine432681134nres_b] :
( ~ ( ord_le527798542nres_b @ SX0 @ SX1 )
| ~ ( ord_le527798542nres_b @ SX1 @ SX0 )
| ( SX0 = SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[465]) ).
thf(577,plain,
( ( ord_le1656162903nres_b
= ( ^ [SX0: $o > refine432681134nres_b,SX1: $o > refine432681134nres_b] :
~ ( ~ ( ord_le527798542nres_b @ ( SX0 @ $false ) @ ( SX1 @ $false ) )
| ~ ( ord_le527798542nres_b @ ( SX0 @ $true ) @ ( SX1 @ $true ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[488]) ).
thf(578,plain,
! [SV1: set_a] :
( ( ! [SY250: set_a] :
( ( ( refine1198353288_RES_a @ SV1 )
= ( refine1198353288_RES_a @ SY250 ) )
= ( SV1 = SY250 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[443]) ).
thf(579,plain,
! [SV2: set_a] :
( ( ! [SY251: set_a] :
( ( ( refine1198353288_RES_a @ SV2 )
= ( refine1198353288_RES_a @ SY251 ) )
= ( SV2 = SY251 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[444]) ).
thf(580,plain,
! [SV3: refine432681134nres_b] :
( ( ord_le527798542nres_b @ SV3 @ SV3 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[450]) ).
thf(581,plain,
! [SV4: set_a] :
( ( ( refine1822134885_RES_a @ ( refine1198353288_RES_a @ SV4 ) )
= SV4 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[451]) ).
thf(582,plain,
! [SV5: a > $o] :
( ( ! [SY252: a] :
( ( refine1312857699nres_a @ ( refine1198353288_RES_a @ ( collect_a @ SV5 ) ) @ SY252 )
= ( SV5 @ SY252 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[452]) ).
thf(583,plain,
! [SV6: refine432681134nres_b] :
( ( ord_le527798542nres_b @ SV6 @ SV6 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[463]) ).
thf(584,plain,
! [SV7: a] :
( ( ! [SY253: a > $o] :
( ( member_a @ SV7 @ ( collect_a @ SY253 ) )
= ( SY253 @ SV7 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[473]) ).
thf(585,plain,
! [SV8: set_a] :
( ( ( collect_a
@ ^ [SY254: a] : ( member_a @ SY254 @ SV8 ) )
= SV8 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[474]) ).
thf(586,plain,
! [SV9: set_a] :
( ( refine412683989fail_a @ ( refine1198353288_RES_a @ SV9 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[490]) ).
thf(587,plain,
! [SV10: refine432681134nres_b] :
( ( ord_le527798542nres_b @ SV10 @ refine464223678AILi_b )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[499]) ).
thf(588,plain,
! [SV11: b] :
( ( ! [SY255: b] :
( ( ord_le527798542nres_b @ ( refine2063221605TURN_b @ SV11 ) @ ( refine2063221605TURN_b @ SY255 ) )
= ( SV11 = SY255 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[506]) ).
thf(589,plain,
! [SV12: a] :
( ( ! [SY256: a > refine432681134nres_b] :
( ( refine436832839nd_a_b @ ( refine2063221604TURN_a @ SV12 ) @ SY256 )
= ( SY256 @ SV12 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[507]) ).
thf(590,plain,
! [SV13: a] :
( ( ( refine1198353288_RES_a
@ ( collect_a
@ ^ [SY257: a] : ( SV13 = SY257 ) ) )
= ( refine2063221604TURN_a @ SV13 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[508]) ).
thf(591,plain,
! [SV14: refine432681134nres_b] :
( ( ( ord_le527798542nres_b @ top_to240090974nres_b @ SV14 )
= ( SV14 = top_to240090974nres_b ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[510]) ).
thf(592,plain,
! [SV15: refine432681134nres_b] :
( ( ord_le527798542nres_b @ SV15 @ top_to240090974nres_b )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[511]) ).
thf(593,plain,
! [SV16: refine432681134nres_b] :
( ( ( ord_le527798542nres_b @ top_to240090974nres_b @ SV16 )
= ( SV16 = top_to240090974nres_b ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[512]) ).
thf(594,plain,
! [SV17: refine432681134nres_b] :
( ( ord_le527798542nres_b @ SV17 @ top_to240090974nres_b )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[514]) ).
thf(595,plain,
! [SV18: $o] :
( ( ( SV18 = $true )
| ( SV18 = $false ) )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[518]) ).
thf(596,plain,
( ( ( $true = $true )
| ( $true = $false ) )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[518]) ).
thf(597,plain,
( ( ( $false = $true )
| ( $false = $false ) )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[518]) ).
thf(598,plain,
( ( ord_le527798542nres_b @ m @ ( refine436832839nd_a_b @ ( refine1198353288_RES_a @ ( collect_a @ phi ) ) @ f ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[519]) ).
thf(599,plain,
! [SV19: refine432681134nres_b] :
( ( ! [SY258: refine432681134nres_b] :
( ~ ( ord_le527798542nres_b @ SV19 @ SY258 )
| ( ( ord_le527798542nres_b @ SY258 @ SV19 )
= ( SY258 = SV19 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[520]) ).
thf(600,plain,
! [SV20: refine432681134nres_b > $o] :
( ( ! [SY259: refine432681134nres_b] :
( ~ ( SV20 @ SY259 )
| ~ ! [SY260: refine432681134nres_b] :
( ~ ( SV20 @ SY260 )
| ( ord_le527798542nres_b @ SY260 @ SY259 ) )
| ( ( order_1722590613nres_b @ SV20 )
= SY259 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[521]) ).
thf(601,plain,
! [SV21: $o] :
( ( ! [SY261: refine432681134nres_b,SY262: refine432681134nres_b,SY263: refine432681134nres_b,SY264: refine432681134nres_b] :
( ~ ( ~ SV21
| ( ord_le527798542nres_b @ SY261 @ SY262 ) )
| ~ ( ~ ~ SV21
| ( ord_le527798542nres_b @ SY263 @ SY264 ) )
| ( ord_le527798542nres_b @ ( if_Ref1732808808nres_b @ SV21 @ SY261 @ SY263 ) @ ( if_Ref1732808808nres_b @ SV21 @ SY262 @ SY264 ) ) ) )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[522]) ).
thf(602,plain,
( ( ! [SX0: refine432681134nres_b,SX1: refine432681134nres_b,SX2: refine432681134nres_b,SX3: refine432681134nres_b] :
( ~ ( ~ $true
| ( ord_le527798542nres_b @ SX0 @ SX1 ) )
| ~ ( ~ ~ $true
| ( ord_le527798542nres_b @ SX2 @ SX3 ) )
| ( ord_le527798542nres_b @ ( if_Ref1732808808nres_b @ $true @ SX0 @ SX2 ) @ ( if_Ref1732808808nres_b @ $true @ SX1 @ SX3 ) ) ) )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[522]) ).
thf(603,plain,
( ( ! [SX0: refine432681134nres_b,SX1: refine432681134nres_b,SX2: refine432681134nres_b,SX3: refine432681134nres_b] :
( ~ ( ~ $false
| ( ord_le527798542nres_b @ SX0 @ SX1 ) )
| ~ ( ~ ~ $false
| ( ord_le527798542nres_b @ SX2 @ SX3 ) )
| ( ord_le527798542nres_b @ ( if_Ref1732808808nres_b @ $false @ SX0 @ SX2 ) @ ( if_Ref1732808808nres_b @ $false @ SX1 @ SX3 ) ) ) )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[522]) ).
thf(604,plain,
! [SV22: refine432681134nres_b] :
( ( ! [SY265: refine432681134nres_b,SY266: refine432681134nres_b] :
( ~ ( ord_le527798542nres_b @ SV22 @ SY265 )
| ~ ( ord_le527798542nres_b @ SY266 @ SV22 )
| ( ord_le527798542nres_b @ SY266 @ SY265 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[523]) ).
thf(605,plain,
! [SV23: refine432681134nres_b] :
( ( ! [SY267: set_Product_prod_b_b,SY268: refine432681134nres_b,SY269: refine432681134nres_b] :
( ~ ( ord_le527798542nres_b @ SV23 @ ( refine122110613un_b_b @ SY267 @ SY268 ) )
| ~ ( ord_le527798542nres_b @ SY268 @ SY269 )
| ( ord_le527798542nres_b @ SV23 @ ( refine122110613un_b_b @ SY267 @ SY269 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[524]) ).
thf(606,plain,
! [SV24: refine432681134nres_b] :
( ( ! [SY270: refine432681134nres_b] :
( ( SV24 != SY270 )
| ( ord_le527798542nres_b @ SV24 @ SY270 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[525]) ).
thf(607,plain,
! [SV25: refine432681134nres_b] :
( ( ! [SY271: refine432681134nres_b] :
( ~ ( ord_le527798542nres_b @ SV25 @ SY271 )
| ~ ( ord_le527798542nres_b @ SY271 @ SV25 )
| ( SV25 = SY271 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[526]) ).
thf(608,plain,
! [SV26: refine432681134nres_b] :
( ( ! [SY272: refine432681134nres_b,SY273: refine432681134nres_b] :
( ( SV26 != SY272 )
| ~ ( ord_le527798542nres_b @ SY272 @ SY273 )
| ( ord_le527798542nres_b @ SV26 @ SY273 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[527]) ).
thf(609,plain,
! [SV27: refine424419629nres_a > $o] :
( ( ! [SY274: refine424419629nres_a] :
( ~ ( SV27 @ refine464223677AILi_a )
| ~ ! [SY275: set_a] : ( SV27 @ ( refine1198353288_RES_a @ SY275 ) )
| ( SV27 @ SY274 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[528]) ).
thf(610,plain,
! [SV28: $o > refine432681134nres_b] :
( ( ! [SY276: $o > refine432681134nres_b,SY277: $o] :
( ~ ( ord_le1656162903nres_b @ SV28 @ SY276 )
| ( ord_le527798542nres_b @ ( SV28 @ SY277 ) @ ( SY276 @ SY277 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[529]) ).
thf(611,plain,
! [SV29: set_a] :
( ( top_to231829469nres_a
!= ( refine1198353288_RES_a @ SV29 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[530]) ).
thf(612,plain,
! [SV30: refine424419629nres_a] :
( ( ! [SY278: a > $o,SY279: a > $o] :
( ~ ( ord_le519537037nres_a @ SV30 @ ( refine1198353288_RES_a @ ( collect_a @ SY278 ) ) )
| ~ ! [SX3: a] :
( ~ ( SY278 @ SX3 )
| ( SY279 @ SX3 ) )
| ( ord_le519537037nres_a @ SV30 @ ( refine1198353288_RES_a @ ( collect_a @ SY279 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[531]) ).
thf(613,plain,
! [SV31: refine424419629nres_a > refine424419629nres_a > $o] :
( ( ! [SY281: refine424419629nres_a,SY282: refine424419629nres_a] :
( ~ ! [SY283: refine424419629nres_a] : ( SV31 @ refine464223677AILi_a @ SY283 )
| ~ ! [SY284: set_a] : ( SV31 @ ( refine1198353288_RES_a @ SY284 ) @ refine464223677AILi_a )
| ~ ! [SY285: set_a,SY286: set_a] : ( SV31 @ ( refine1198353288_RES_a @ SY285 ) @ ( refine1198353288_RES_a @ SY286 ) )
| ( SV31 @ SY281 @ SY282 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[532]) ).
thf(614,plain,
! [SV32: a > $o] :
( ( ! [SY287: a > $o] :
( ~ ! [SY288: a] :
( ( SV32 @ SY288 )
= ( SY287 @ SY288 ) )
| ( ( collect_a @ SV32 )
= ( collect_a @ SY287 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[533]) ).
thf(615,plain,
! [SV33: refine432681134nres_b] :
( ( ! [SY289: refine432681134nres_b,SY290: refine432681134nres_b,SY291: refine432681134nres_b] :
( ( SV33 != SY289 )
| ~ ( ord_le527798542nres_b @ SY289 @ SY290 )
| ( SY290 != SY291 )
| ( ord_le527798542nres_b @ SV33 @ SY291 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[534]) ).
thf(616,plain,
! [SV34: refine432681134nres_b] :
( ( ! [SY292: refine432681134nres_b,SY293: refine432681134nres_b > refine424419629nres_a,SY294: refine424419629nres_a] :
( ~ ( ord_le527798542nres_b @ SV34 @ SY292 )
| ( ( SY293 @ SY292 )
!= SY294 )
| ~ ! [SX4: refine432681134nres_b,SX5: refine432681134nres_b] :
( ~ ( ord_le527798542nres_b @ SX4 @ SX5 )
| ( ord_le519537037nres_a @ ( SY293 @ SX4 ) @ ( SY293 @ SX5 ) ) )
| ( ord_le519537037nres_a @ ( SY293 @ SV34 ) @ SY294 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[535]) ).
thf(617,plain,
! [SV35: refine432681134nres_b] :
( ( ! [SY297: refine432681134nres_b,SY298: refine432681134nres_b > refine432681134nres_b,SY299: refine432681134nres_b] :
( ~ ( ord_le527798542nres_b @ SV35 @ SY297 )
| ( ( SY298 @ SY297 )
!= SY299 )
| ~ ! [SX4: refine432681134nres_b,SX5: refine432681134nres_b] :
( ~ ( ord_le527798542nres_b @ SX4 @ SX5 )
| ( ord_le527798542nres_b @ ( SY298 @ SX4 ) @ ( SY298 @ SX5 ) ) )
| ( ord_le527798542nres_b @ ( SY298 @ SV35 ) @ SY299 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[536]) ).
thf(618,plain,
! [SV36: refine432681134nres_b] :
( ( ! [SY302: refine432681134nres_b,SY303: refine432681134nres_b] :
( ~ ( ord_le527798542nres_b @ SV36 @ SY302 )
| ~ ( ord_le527798542nres_b @ SY302 @ SY303 )
| ( ord_le527798542nres_b @ SV36 @ SY303 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[537]) ).
thf(619,plain,
! [SV37: $o] :
( ( ! [SY304: refine432681134nres_b,SY305: refine432681134nres_b,SY306: refine432681134nres_b] :
( ~ ( ~ SV37
| ( ord_le527798542nres_b @ SY304 @ SY305 ) )
| ~ ( ~ ~ SV37
| ( ord_le527798542nres_b @ SY306 @ SY305 ) )
| ( ord_le527798542nres_b @ ( if_Ref1732808808nres_b @ SV37 @ SY304 @ SY306 ) @ SY305 ) ) )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[538]) ).
thf(620,plain,
( ( ! [SX0: refine432681134nres_b,SX1: refine432681134nres_b,SX2: refine432681134nres_b] :
( ~ ( ~ $true
| ( ord_le527798542nres_b @ SX0 @ SX1 ) )
| ~ ( ~ ~ $true
| ( ord_le527798542nres_b @ SX2 @ SX1 ) )
| ( ord_le527798542nres_b @ ( if_Ref1732808808nres_b @ $true @ SX0 @ SX2 ) @ SX1 ) ) )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[538]) ).
thf(621,plain,
( ( ! [SX0: refine432681134nres_b,SX1: refine432681134nres_b,SX2: refine432681134nres_b] :
( ~ ( ~ $false
| ( ord_le527798542nres_b @ SX0 @ SX1 ) )
| ~ ( ~ ~ $false
| ( ord_le527798542nres_b @ SX2 @ SX1 ) )
| ( ord_le527798542nres_b @ ( if_Ref1732808808nres_b @ $false @ SX0 @ SX2 ) @ SX1 ) ) )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[538]) ).
thf(622,plain,
! [SV38: refine424419629nres_a > refine424419629nres_a > $o] :
( ( ! [SY307: refine424419629nres_a,SY308: refine424419629nres_a] :
( ~ ! [SY309: refine424419629nres_a] : ( SV38 @ SY309 @ refine464223677AILi_a )
| ~ ! [SY310: set_a,SY311: set_a] : ( SV38 @ ( refine1198353288_RES_a @ SY310 ) @ ( refine1198353288_RES_a @ SY311 ) )
| ~ ! [SY312: set_a] : ( SV38 @ refine464223677AILi_a @ ( refine1198353288_RES_a @ SY312 ) )
| ( SV38 @ SY307 @ SY308 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[539]) ).
thf(623,plain,
! [SV39: a > $o] :
( ( ! [SY313: a,SY314: refine432681134nres_b,SY315: set_Product_prod_b_b,SY316: a > refine432681134nres_b] :
( ~ ( SV39 @ SY313 )
| ~ ( ord_le527798542nres_b @ SY314 @ ( refine122110613un_b_b @ SY315 @ ( SY316 @ SY313 ) ) )
| ( ord_le527798542nres_b @ SY314 @ ( refine122110613un_b_b @ SY315 @ ( refine436832839nd_a_b @ ( refine1198353288_RES_a @ ( collect_a @ SV39 ) ) @ SY316 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[540]) ).
thf(624,plain,
! [SV40: refine432681134nres_b] :
( ( ! [SY317: refine432681134nres_b,SY318: refine432681134nres_b > refine432681134nres_b,SY319: refine432681134nres_b] :
( ~ ( ord_le527798542nres_b @ SV40 @ SY317 )
| ~ ( ord_le527798542nres_b @ ( SY318 @ SY317 ) @ SY319 )
| ~ ! [SX4: refine432681134nres_b,SX5: refine432681134nres_b] :
( ~ ( ord_le527798542nres_b @ SX4 @ SX5 )
| ( ord_le527798542nres_b @ ( SY318 @ SX4 ) @ ( SY318 @ SX5 ) ) )
| ( ord_le527798542nres_b @ ( SY318 @ SV40 ) @ SY319 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[541]) ).
thf(625,plain,
! [SV41: refine432681134nres_b] :
( ( ! [SY322: refine424419629nres_a > refine432681134nres_b,SY323: refine424419629nres_a,SY324: refine424419629nres_a] :
( ~ ( ord_le527798542nres_b @ SV41 @ ( SY322 @ SY323 ) )
| ~ ( ord_le519537037nres_a @ SY323 @ SY324 )
| ~ ! [SX4: refine424419629nres_a,SX5: refine424419629nres_a] :
( ~ ( ord_le519537037nres_a @ SX4 @ SX5 )
| ( ord_le527798542nres_b @ ( SY322 @ SX4 ) @ ( SY322 @ SX5 ) ) )
| ( ord_le527798542nres_b @ SV41 @ ( SY322 @ SY324 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[542]) ).
thf(626,plain,
! [SV42: refine432681134nres_b] :
( ( ! [SY327: refine432681134nres_b] :
( ( SV42 != top_to240090974nres_b )
| ( ord_le527798542nres_b @ SY327 @ SV42 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[543]) ).
thf(627,plain,
! [SV43: refine432681134nres_b] :
( ( ! [SY328: refine432681134nres_b,SY329: set_Product_prod_b_b,SY330: refine432681134nres_b] :
( ~ ( ord_le527798542nres_b @ SV43 @ SY328 )
| ~ ( ord_le527798542nres_b @ ( refine1964549110un_b_b @ SY329 @ SY328 ) @ SY330 )
| ( ord_le527798542nres_b @ ( refine1964549110un_b_b @ SY329 @ SV43 ) @ SY330 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[544]) ).
thf(628,plain,
( ( ! [SV44: refine432681134nres_b] :
( ( ^ [SY331: refine432681134nres_b] : ( SV44 = SY331 ) )
= ( ^ [SY332: refine432681134nres_b] :
~ ( ~ ( ord_le527798542nres_b @ SV44 @ SY332 )
| ~ ( ord_le527798542nres_b @ SY332 @ SV44 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[545]) ).
thf(629,plain,
( ( ( ^ [SX0: refine432681134nres_b,SX1: refine432681134nres_b] : ( SX0 = SX1 ) )
= ( ^ [SX0: refine432681134nres_b,SX1: refine432681134nres_b] :
~ ( ~ ( ord_le527798542nres_b @ SX0 @ SX1 )
| ~ ( ord_le527798542nres_b @ SX1 @ SX0 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[545]) ).
thf(630,plain,
! [SV45: refine432681134nres_b] :
( ( ! [SY333: refine432681134nres_b,SY334: refine432681134nres_b] :
( ~ ( ord_le527798542nres_b @ SV45 @ SY333 )
| ~ ( ord_le527798542nres_b @ SY333 @ SY334 )
| ( ord_le527798542nres_b @ SV45 @ SY334 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[546]) ).
thf(631,plain,
! [SV46: refine424419629nres_a] :
( ( ! [SY335: refine424419629nres_a,SY336: a > $o] :
( ~ ( ord_le519537037nres_a @ SV46 @ SY335 )
| ~ ( ord_le519537037nres_a @ SY335 @ ( refine1198353288_RES_a @ ( collect_a @ SY336 ) ) )
| ( ord_le519537037nres_a @ SV46 @ ( refine1198353288_RES_a @ ( collect_a @ SY336 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[547]) ).
thf(632,plain,
! [SV47: refine432681134nres_b] :
( ( ! [SY337: refine432681134nres_b] :
( ~ ( ord_le527798542nres_b @ SV47 @ SY337 )
| ~ ( refine412683990fail_b @ SY337 )
| ( refine412683990fail_b @ SV47 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[548]) ).
thf(633,plain,
! [SV48: a > $o] :
( ( ! [SY338: a > $o] :
( ~ ! [SY339: a] :
( ~ ( SV48 @ SY339 )
| ( SY338 @ SY339 ) )
| ( ord_less_eq_set_a @ ( collect_a @ SV48 ) @ ( collect_a @ SY338 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[549]) ).
thf(634,plain,
! [SV49: refine424419629nres_a] :
( ( ! [SY340: refine432681134nres_b > refine424419629nres_a,SY341: refine432681134nres_b,SY342: refine432681134nres_b] :
( ~ ( ord_le519537037nres_a @ SV49 @ ( SY340 @ SY341 ) )
| ~ ( ord_le527798542nres_b @ SY341 @ SY342 )
| ~ ! [SX4: refine432681134nres_b,SX5: refine432681134nres_b] :
( ~ ( ord_le527798542nres_b @ SX4 @ SX5 )
| ( ord_le519537037nres_a @ ( SY340 @ SX4 ) @ ( SY340 @ SX5 ) ) )
| ( ord_le519537037nres_a @ SV49 @ ( SY340 @ SY342 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[550]) ).
thf(635,plain,
! [SV50: refine432681134nres_b] :
( ( ! [SY345: refine432681134nres_b > refine432681134nres_b,SY346: refine432681134nres_b,SY347: refine432681134nres_b] :
( ( SV50
!= ( SY345 @ SY346 ) )
| ~ ( ord_le527798542nres_b @ SY346 @ SY347 )
| ~ ! [SX4: refine432681134nres_b,SX5: refine432681134nres_b] :
( ~ ( ord_le527798542nres_b @ SX4 @ SX5 )
| ( ord_le527798542nres_b @ ( SY345 @ SX4 ) @ ( SY345 @ SX5 ) ) )
| ( ord_le527798542nres_b @ SV50 @ ( SY345 @ SY347 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[551]) ).
thf(636,plain,
! [SV51: a] :
( ( ! [SY350: set_a,SY351: refine432681134nres_b,SY352: a > refine432681134nres_b] :
( ~ ( member_a @ SV51 @ SY350 )
| ~ ( ord_le527798542nres_b @ SY351 @ ( SY352 @ SV51 ) )
| ( ord_le527798542nres_b @ SY351 @ ( refine436832839nd_a_b @ ( refine1198353288_RES_a @ SY350 ) @ SY352 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[552]) ).
thf(637,plain,
! [SV52: refine432681134nres_b] :
( ( ! [SY353: refine432681134nres_b,SY354: refine432681134nres_b,SY355: refine432681134nres_b,SY356: $o] :
( ~ ( ord_le527798542nres_b @ SV52 @ SY353 )
| ~ ( ord_le527798542nres_b @ SY354 @ SY355 )
| ( ord_le527798542nres_b @ ( if_Ref1732808808nres_b @ SY356 @ SV52 @ SY354 ) @ ( if_Ref1732808808nres_b @ SY356 @ SY353 @ SY355 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[553]) ).
thf(638,plain,
! [SV53: refine424419629nres_a] :
( ( ~ ( ( SV53 != top_to231829469nres_a ) )
| ~ ! [SY357: set_a] :
( SV53
!= ( refine1198353288_RES_a @ SY357 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[554]) ).
thf(639,plain,
( ( ! [SV54: refine432681134nres_b] :
( ( ^ [SY358: refine432681134nres_b] : ( SV54 = SY358 ) )
= ( ^ [SY359: refine432681134nres_b] :
~ ( ~ ( ord_le527798542nres_b @ SV54 @ SY359 )
| ~ ( ord_le527798542nres_b @ SY359 @ SV54 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[555]) ).
thf(640,plain,
( ( ( ^ [SX0: refine432681134nres_b,SX1: refine432681134nres_b] : ( SX0 = SX1 ) )
= ( ^ [SX0: refine432681134nres_b,SX1: refine432681134nres_b] :
~ ( ~ ( ord_le527798542nres_b @ SX0 @ SX1 )
| ~ ( ord_le527798542nres_b @ SX1 @ SX0 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[555]) ).
thf(641,plain,
! [SV55: refine432681134nres_b] :
( ( ! [SY360: refine432681134nres_b,SY361: refine432681134nres_b] :
( ~ ( ord_le527798542nres_b @ SV55 @ SY360 )
| ( SY360 != SY361 )
| ( ord_le527798542nres_b @ SV55 @ SY361 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[556]) ).
thf(642,plain,
! [SV56: a > $o] :
( ( ! [SY362: a > $o] :
( ~ ! [SY363: a] :
( ~ ( SV56 @ SY363 )
| ( SY362 @ SY363 ) )
| ( ord_le519537037nres_a @ ( refine1198353288_RES_a @ ( collect_a @ SV56 ) ) @ ( refine1198353288_RES_a @ ( collect_a @ SY362 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[557]) ).
thf(643,plain,
! [SV57: set_a] :
( ( refine464223677AILi_a
!= ( refine1198353288_RES_a @ SV57 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[558]) ).
thf(644,plain,
( ( ! [SV58: refine424419629nres_a] :
( ( refine412683989fail_a @ SV58 )
= ( ~ ! [SY364: set_a] :
( SV58
!= ( refine1198353288_RES_a @ SY364 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[559]) ).
thf(645,plain,
( ( refine412683989fail_a
= ( ^ [SX0: refine424419629nres_a] :
~ ! [SX1: set_a] :
( SX0
!= ( refine1198353288_RES_a @ SX1 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[559]) ).
thf(646,plain,
! [SV59: refine424419629nres_a] :
( ( ! [SY365: refine424419629nres_a,SY366: refine424419629nres_a > refine432681134nres_b,SY367: refine432681134nres_b] :
( ~ ( ord_le519537037nres_a @ SV59 @ SY365 )
| ( ( SY366 @ SY365 )
!= SY367 )
| ~ ! [SX4: refine424419629nres_a,SX5: refine424419629nres_a] :
( ~ ( ord_le519537037nres_a @ SX4 @ SX5 )
| ( ord_le527798542nres_b @ ( SY366 @ SX4 ) @ ( SY366 @ SX5 ) ) )
| ( ord_le527798542nres_b @ ( SY366 @ SV59 ) @ SY367 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[560]) ).
thf(647,plain,
! [SV60: refine432681134nres_b] :
( ( ! [SY370: refine432681134nres_b > refine432681134nres_b,SY371: refine432681134nres_b,SY372: refine432681134nres_b] :
( ~ ( ord_le527798542nres_b @ SV60 @ ( SY370 @ SY371 ) )
| ~ ( ord_le527798542nres_b @ SY371 @ SY372 )
| ~ ! [SX4: refine432681134nres_b,SX5: refine432681134nres_b] :
( ~ ( ord_le527798542nres_b @ SX4 @ SX5 )
| ( ord_le527798542nres_b @ ( SY370 @ SX4 ) @ ( SY370 @ SX5 ) ) )
| ( ord_le527798542nres_b @ SV60 @ ( SY370 @ SY372 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[561]) ).
thf(648,plain,
! [SV61: refine424419629nres_a > refine424419629nres_a > $o] :
( ( ! [SY375: refine424419629nres_a,SY376: refine424419629nres_a] :
( ~ ! [SY377: refine424419629nres_a] : ( SV61 @ SY377 @ refine464223677AILi_a )
| ~ ! [SY378: set_a] : ( SV61 @ refine464223677AILi_a @ ( refine1198353288_RES_a @ SY378 ) )
| ~ ! [SY379: set_a,SY380: set_a] : ( SV61 @ ( refine1198353288_RES_a @ SY379 ) @ ( refine1198353288_RES_a @ SY380 ) )
| ( SV61 @ SY375 @ SY376 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[562]) ).
thf(649,plain,
! [SV62: a > $o] :
( ( ! [SY381: a > $o] :
( ( ord_less_eq_set_a @ ( collect_a @ SV62 ) @ ( collect_a @ SY381 ) )
= ( ! [SY382: a] :
( ~ ( SV62 @ SY382 )
| ( SY381 @ SY382 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[563]) ).
thf(650,plain,
! [SV63: refine432681134nres_b] :
( ( ~ ( ord_le527798542nres_b @ top_to240090974nres_b @ SV63 )
| ( SV63 = top_to240090974nres_b ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[564]) ).
thf(651,plain,
! [SV64: refine424419629nres_a] :
( ( ~ ( ( SV64 != refine464223677AILi_a ) )
| ~ ! [SY383: set_a] :
( SV64
!= ( refine1198353288_RES_a @ SY383 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[565]) ).
thf(652,plain,
! [SV65: refine424419629nres_a] :
( ( ! [SY384: refine432681134nres_b > refine424419629nres_a,SY385: refine432681134nres_b,SY386: refine432681134nres_b] :
( ( SV65
!= ( SY384 @ SY385 ) )
| ~ ( ord_le527798542nres_b @ SY385 @ SY386 )
| ~ ! [SX4: refine432681134nres_b,SX5: refine432681134nres_b] :
( ~ ( ord_le527798542nres_b @ SX4 @ SX5 )
| ( ord_le519537037nres_a @ ( SY384 @ SX4 ) @ ( SY384 @ SX5 ) ) )
| ( ord_le519537037nres_a @ SV65 @ ( SY384 @ SY386 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[566]) ).
thf(653,plain,
! [SV66: $o > refine432681134nres_b] :
( ( ! [SY389: $o > refine432681134nres_b,SY390: $o] :
( ~ ( ord_le1656162903nres_b @ SV66 @ SY389 )
| ( ord_le527798542nres_b @ ( SV66 @ SY390 ) @ ( SY389 @ SY390 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[567]) ).
thf(654,plain,
! [SV67: refine432681134nres_b] :
( ( ! [SY391: refine432681134nres_b,SY392: b] :
( ~ ( ord_le527798542nres_b @ SV67 @ SY391 )
| ~ ( refine1001002028nres_b @ SV67 @ SY392 )
| ( refine1001002028nres_b @ SY391 @ SY392 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[568]) ).
thf(655,plain,
( ( ! [SV68: refine432681134nres_b] :
( ( ^ [SY393: refine432681134nres_b] : ( SV68 = SY393 ) )
= ( ^ [SY394: refine432681134nres_b] :
~ ( ~ ( ord_le527798542nres_b @ SY394 @ SV68 )
| ~ ( ord_le527798542nres_b @ SV68 @ SY394 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[569]) ).
thf(656,plain,
( ( ( ^ [SX0: refine432681134nres_b,SX1: refine432681134nres_b] : ( SX0 = SX1 ) )
= ( ^ [SX0: refine432681134nres_b,SX1: refine432681134nres_b] :
~ ( ~ ( ord_le527798542nres_b @ SX1 @ SX0 )
| ~ ( ord_le527798542nres_b @ SX0 @ SX1 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[569]) ).
thf(657,plain,
! [SV69: refine424419629nres_a] :
( ( ! [SY395: refine424419629nres_a,SY396: refine424419629nres_a > refine432681134nres_b,SY397: refine432681134nres_b] :
( ~ ( ord_le519537037nres_a @ SV69 @ SY395 )
| ~ ( ord_le527798542nres_b @ ( SY396 @ SY395 ) @ SY397 )
| ~ ! [SX4: refine424419629nres_a,SX5: refine424419629nres_a] :
( ~ ( ord_le519537037nres_a @ SX4 @ SX5 )
| ( ord_le527798542nres_b @ ( SY396 @ SX4 ) @ ( SY396 @ SX5 ) ) )
| ( ord_le527798542nres_b @ ( SY396 @ SV69 ) @ SY397 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[570]) ).
thf(658,plain,
! [SV70: refine432681134nres_b > $o] :
( ( ! [SY400: refine432681134nres_b,SY401: refine432681134nres_b > $o] :
( ~ ( SV70 @ SY400 )
| ~ ! [SY402: refine432681134nres_b] :
( ~ ( SV70 @ SY402 )
| ( ord_le527798542nres_b @ SY402 @ SY400 ) )
| ~ ! [SY403: refine432681134nres_b] :
( ~ ( SV70 @ SY403 )
| ~ ! [SY404: refine432681134nres_b] :
( ~ ( SV70 @ SY404 )
| ( ord_le527798542nres_b @ SY404 @ SY403 ) )
| ( SY401 @ SY403 ) )
| ( SY401 @ ( order_1722590613nres_b @ SV70 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[571]) ).
thf(659,plain,
! [SV71: refine432681134nres_b] :
( ( ! [SY405: refine432681134nres_b] :
( ~ ( ~ ( refine412683990fail_b @ SV71 )
| ( ord_le527798542nres_b @ SY405 @ SV71 ) )
| ( ord_le527798542nres_b @ SY405 @ SV71 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[572]) ).
thf(660,plain,
! [SV72: refine432681134nres_b] :
( ( ! [SY406: refine424419629nres_a > refine432681134nres_b,SY407: refine424419629nres_a,SY408: refine424419629nres_a] :
( ( SV72
!= ( SY406 @ SY407 ) )
| ~ ( ord_le519537037nres_a @ SY407 @ SY408 )
| ~ ! [SX4: refine424419629nres_a,SX5: refine424419629nres_a] :
( ~ ( ord_le519537037nres_a @ SX4 @ SX5 )
| ( ord_le527798542nres_b @ ( SY406 @ SX4 ) @ ( SY406 @ SX5 ) ) )
| ( ord_le527798542nres_b @ SV72 @ ( SY406 @ SY408 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[573]) ).
thf(661,plain,
! [SV73: refine432681134nres_b] :
( ( ! [SY411: refine432681134nres_b] :
( ~ ( ord_le527798542nres_b @ SV73 @ SY411 )
| ~ ( ord_le527798542nres_b @ SY411 @ SV73 )
| ( SY411 = SV73 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[574]) ).
thf(662,plain,
! [SV74: refine432681134nres_b] :
( ( ! [SY412: refine432681134nres_b,SY413: refine432681134nres_b > refine424419629nres_a,SY414: refine424419629nres_a] :
( ~ ( ord_le527798542nres_b @ SV74 @ SY412 )
| ~ ( ord_le519537037nres_a @ ( SY413 @ SY412 ) @ SY414 )
| ~ ! [SX4: refine432681134nres_b,SX5: refine432681134nres_b] :
( ~ ( ord_le527798542nres_b @ SX4 @ SX5 )
| ( ord_le519537037nres_a @ ( SY413 @ SX4 ) @ ( SY413 @ SX5 ) ) )
| ( ord_le519537037nres_a @ ( SY413 @ SV74 ) @ SY414 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[575]) ).
thf(663,plain,
! [SV75: refine432681134nres_b] :
( ( ! [SY417: refine432681134nres_b] :
( ~ ( ord_le527798542nres_b @ SV75 @ SY417 )
| ~ ( ord_le527798542nres_b @ SY417 @ SV75 )
| ( SV75 = SY417 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[576]) ).
thf(664,plain,
( ( ! [SV76: $o > refine432681134nres_b] :
( ( ord_le1656162903nres_b @ SV76 )
= ( ^ [SY418: $o > refine432681134nres_b] :
~ ( ~ ( ord_le527798542nres_b @ ( SV76 @ $false ) @ ( SY418 @ $false ) )
| ~ ( ord_le527798542nres_b @ ( SV76 @ $true ) @ ( SY418 @ $true ) ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[577]) ).
thf(665,plain,
( ( ord_le1656162903nres_b
= ( ^ [SX0: $o > refine432681134nres_b,SX1: $o > refine432681134nres_b] :
~ ( ~ ( ord_le527798542nres_b @ ( SX0 @ $false ) @ ( SX1 @ $false ) )
| ~ ( ord_le527798542nres_b @ ( SX0 @ $true ) @ ( SX1 @ $true ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[577]) ).
thf(666,plain,
! [SV77: set_a,SV1: set_a] :
( ( ( ( refine1198353288_RES_a @ SV1 )
= ( refine1198353288_RES_a @ SV77 ) )
= ( SV1 = SV77 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[578]) ).
thf(667,plain,
! [SV78: set_a,SV2: set_a] :
( ( ( ( refine1198353288_RES_a @ SV2 )
= ( refine1198353288_RES_a @ SV78 ) )
= ( SV2 = SV78 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[579]) ).
thf(668,plain,
! [SV79: a,SV5: a > $o] :
( ( ( refine1312857699nres_a @ ( refine1198353288_RES_a @ ( collect_a @ SV5 ) ) @ SV79 )
= ( SV5 @ SV79 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[582]) ).
thf(669,plain,
! [SV80: a > $o,SV7: a] :
( ( ( member_a @ SV7 @ ( collect_a @ SV80 ) )
= ( SV80 @ SV7 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[584]) ).
thf(670,plain,
! [SV81: b,SV11: b] :
( ( ( ord_le527798542nres_b @ ( refine2063221605TURN_b @ SV11 ) @ ( refine2063221605TURN_b @ SV81 ) )
= ( SV11 = SV81 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[588]) ).
thf(671,plain,
! [SV82: a > refine432681134nres_b,SV12: a] :
( ( ( refine436832839nd_a_b @ ( refine2063221604TURN_a @ SV12 ) @ SV82 )
= ( SV82 @ SV12 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[589]) ).
thf(672,plain,
! [SV14: refine432681134nres_b] :
( ( ~ ( ( ord_le527798542nres_b @ top_to240090974nres_b @ SV14 )
| ( SV14 = top_to240090974nres_b ) )
| ~ ( ~ ( ord_le527798542nres_b @ top_to240090974nres_b @ SV14 )
| ( SV14 != top_to240090974nres_b ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[591]) ).
thf(673,plain,
! [SV14: refine432681134nres_b] :
( ( ( ord_le527798542nres_b @ top_to240090974nres_b @ SV14 )
= ( SV14 = top_to240090974nres_b ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[591]) ).
thf(674,plain,
! [SV16: refine432681134nres_b] :
( ( ~ ( ( ord_le527798542nres_b @ top_to240090974nres_b @ SV16 )
| ( SV16 = top_to240090974nres_b ) )
| ~ ( ~ ( ord_le527798542nres_b @ top_to240090974nres_b @ SV16 )
| ( SV16 != top_to240090974nres_b ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[593]) ).
thf(675,plain,
! [SV16: refine432681134nres_b] :
( ( ( ord_le527798542nres_b @ top_to240090974nres_b @ SV16 )
= ( SV16 = top_to240090974nres_b ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[593]) ).
thf(676,plain,
! [SV18: $o] :
( ( ( SV18 = $true )
= $true )
| ( ( SV18 = $false )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[595]) ).
thf(677,plain,
( ( ( $true = $true )
= $true )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[596]) ).
thf(678,plain,
( ( ( $false = $true )
= $true )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[597]) ).
thf(679,plain,
! [SV83: refine432681134nres_b,SV19: refine432681134nres_b] :
( ( ~ ( ord_le527798542nres_b @ SV19 @ SV83 )
| ( ( ord_le527798542nres_b @ SV83 @ SV19 )
= ( SV83 = SV19 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[599]) ).
thf(680,plain,
! [SV84: refine432681134nres_b,SV20: refine432681134nres_b > $o] :
( ( ~ ( SV20 @ SV84 )
| ~ ! [SY419: refine432681134nres_b] :
( ~ ( SV20 @ SY419 )
| ( ord_le527798542nres_b @ SY419 @ SV84 ) )
| ( ( order_1722590613nres_b @ SV20 )
= SV84 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[600]) ).
thf(681,plain,
! [SV85: refine432681134nres_b,SV21: $o] :
( ( ! [SY420: refine432681134nres_b,SY421: refine432681134nres_b,SY422: refine432681134nres_b] :
( ~ ( ~ SV21
| ( ord_le527798542nres_b @ SV85 @ SY420 ) )
| ~ ( ~ ~ SV21
| ( ord_le527798542nres_b @ SY421 @ SY422 ) )
| ( ord_le527798542nres_b @ ( if_Ref1732808808nres_b @ SV21 @ SV85 @ SY421 ) @ ( if_Ref1732808808nres_b @ SV21 @ SY420 @ SY422 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[601]) ).
thf(682,plain,
! [SV86: refine432681134nres_b] :
( ( ! [SY423: refine432681134nres_b,SY424: refine432681134nres_b,SY425: refine432681134nres_b] :
( ~ ( ~ $true
| ( ord_le527798542nres_b @ SV86 @ SY423 ) )
| ~ ( ~ ~ $true
| ( ord_le527798542nres_b @ SY424 @ SY425 ) )
| ( ord_le527798542nres_b @ ( if_Ref1732808808nres_b @ $true @ SV86 @ SY424 ) @ ( if_Ref1732808808nres_b @ $true @ SY423 @ SY425 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[602]) ).
thf(683,plain,
! [SV87: refine432681134nres_b] :
( ( ! [SY426: refine432681134nres_b,SY427: refine432681134nres_b,SY428: refine432681134nres_b] :
( ~ ( ~ $false
| ( ord_le527798542nres_b @ SV87 @ SY426 ) )
| ~ ( ~ ~ $false
| ( ord_le527798542nres_b @ SY427 @ SY428 ) )
| ( ord_le527798542nres_b @ ( if_Ref1732808808nres_b @ $false @ SV87 @ SY427 ) @ ( if_Ref1732808808nres_b @ $false @ SY426 @ SY428 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[603]) ).
thf(684,plain,
! [SV88: refine432681134nres_b,SV22: refine432681134nres_b] :
( ( ! [SY429: refine432681134nres_b] :
( ~ ( ord_le527798542nres_b @ SV22 @ SV88 )
| ~ ( ord_le527798542nres_b @ SY429 @ SV22 )
| ( ord_le527798542nres_b @ SY429 @ SV88 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[604]) ).
thf(685,plain,
! [SV89: set_Product_prod_b_b,SV23: refine432681134nres_b] :
( ( ! [SY430: refine432681134nres_b,SY431: refine432681134nres_b] :
( ~ ( ord_le527798542nres_b @ SV23 @ ( refine122110613un_b_b @ SV89 @ SY430 ) )
| ~ ( ord_le527798542nres_b @ SY430 @ SY431 )
| ( ord_le527798542nres_b @ SV23 @ ( refine122110613un_b_b @ SV89 @ SY431 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[605]) ).
thf(686,plain,
! [SV90: refine432681134nres_b,SV24: refine432681134nres_b] :
( ( ( SV24 != SV90 )
| ( ord_le527798542nres_b @ SV24 @ SV90 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[606]) ).
thf(687,plain,
! [SV91: refine432681134nres_b,SV25: refine432681134nres_b] :
( ( ~ ( ord_le527798542nres_b @ SV25 @ SV91 )
| ~ ( ord_le527798542nres_b @ SV91 @ SV25 )
| ( SV25 = SV91 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[607]) ).
thf(688,plain,
! [SV92: refine432681134nres_b,SV26: refine432681134nres_b] :
( ( ! [SY432: refine432681134nres_b] :
( ( SV26 != SV92 )
| ~ ( ord_le527798542nres_b @ SV92 @ SY432 )
| ( ord_le527798542nres_b @ SV26 @ SY432 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[608]) ).
thf(689,plain,
! [SV93: refine424419629nres_a,SV27: refine424419629nres_a > $o] :
( ( ~ ( SV27 @ refine464223677AILi_a )
| ~ ! [SY275: set_a] : ( SV27 @ ( refine1198353288_RES_a @ SY275 ) )
| ( SV27 @ SV93 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[609]) ).
thf(690,plain,
! [SV94: $o > refine432681134nres_b,SV28: $o > refine432681134nres_b] :
( ( ! [SY434: $o] :
( ~ ( ord_le1656162903nres_b @ SV28 @ SV94 )
| ( ord_le527798542nres_b @ ( SV28 @ SY434 ) @ ( SV94 @ SY434 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[610]) ).
thf(691,plain,
! [SV29: set_a] :
( ( top_to231829469nres_a
= ( refine1198353288_RES_a @ SV29 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[611]) ).
thf(692,plain,
! [SV95: a > $o,SV30: refine424419629nres_a] :
( ( ! [SY435: a > $o] :
( ~ ( ord_le519537037nres_a @ SV30 @ ( refine1198353288_RES_a @ ( collect_a @ SV95 ) ) )
| ~ ! [SY436: a] :
( ~ ( SV95 @ SY436 )
| ( SY435 @ SY436 ) )
| ( ord_le519537037nres_a @ SV30 @ ( refine1198353288_RES_a @ ( collect_a @ SY435 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[612]) ).
thf(693,plain,
! [SV96: refine424419629nres_a,SV31: refine424419629nres_a > refine424419629nres_a > $o] :
( ( ! [SY437: refine424419629nres_a] :
( ~ ! [SY283: refine424419629nres_a] : ( SV31 @ refine464223677AILi_a @ SY283 )
| ~ ! [SY284: set_a] : ( SV31 @ ( refine1198353288_RES_a @ SY284 ) @ refine464223677AILi_a )
| ~ ! [SY285: set_a,SY286: set_a] : ( SV31 @ ( refine1198353288_RES_a @ SY285 ) @ ( refine1198353288_RES_a @ SY286 ) )
| ( SV31 @ SV96 @ SY437 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[613]) ).
thf(694,plain,
! [SV97: a > $o,SV32: a > $o] :
( ( ~ ! [SY442: a] :
( ( SV32 @ SY442 )
= ( SV97 @ SY442 ) )
| ( ( collect_a @ SV32 )
= ( collect_a @ SV97 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[614]) ).
thf(695,plain,
! [SV98: refine432681134nres_b,SV33: refine432681134nres_b] :
( ( ! [SY443: refine432681134nres_b,SY444: refine432681134nres_b] :
( ( SV33 != SV98 )
| ~ ( ord_le527798542nres_b @ SV98 @ SY443 )
| ( SY443 != SY444 )
| ( ord_le527798542nres_b @ SV33 @ SY444 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[615]) ).
thf(696,plain,
! [SV99: refine432681134nres_b,SV34: refine432681134nres_b] :
( ( ! [SY445: refine432681134nres_b > refine424419629nres_a,SY446: refine424419629nres_a] :
( ~ ( ord_le527798542nres_b @ SV34 @ SV99 )
| ( ( SY445 @ SV99 )
!= SY446 )
| ~ ! [SX4: refine432681134nres_b,SX5: refine432681134nres_b] :
( ~ ( ord_le527798542nres_b @ SX4 @ SX5 )
| ( ord_le519537037nres_a @ ( SY445 @ SX4 ) @ ( SY445 @ SX5 ) ) )
| ( ord_le519537037nres_a @ ( SY445 @ SV34 ) @ SY446 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[616]) ).
thf(697,plain,
! [SV100: refine432681134nres_b,SV35: refine432681134nres_b] :
( ( ! [SY449: refine432681134nres_b > refine432681134nres_b,SY450: refine432681134nres_b] :
( ~ ( ord_le527798542nres_b @ SV35 @ SV100 )
| ( ( SY449 @ SV100 )
!= SY450 )
| ~ ! [SX4: refine432681134nres_b,SX5: refine432681134nres_b] :
( ~ ( ord_le527798542nres_b @ SX4 @ SX5 )
| ( ord_le527798542nres_b @ ( SY449 @ SX4 ) @ ( SY449 @ SX5 ) ) )
| ( ord_le527798542nres_b @ ( SY449 @ SV35 ) @ SY450 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[617]) ).
thf(698,plain,
! [SV101: refine432681134nres_b,SV36: refine432681134nres_b] :
( ( ! [SY453: refine432681134nres_b] :
( ~ ( ord_le527798542nres_b @ SV36 @ SV101 )
| ~ ( ord_le527798542nres_b @ SV101 @ SY453 )
| ( ord_le527798542nres_b @ SV36 @ SY453 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[618]) ).
thf(699,plain,
! [SV102: refine432681134nres_b,SV37: $o] :
( ( ! [SY454: refine432681134nres_b,SY455: refine432681134nres_b] :
( ~ ( ~ SV37
| ( ord_le527798542nres_b @ SV102 @ SY454 ) )
| ~ ( ~ ~ SV37
| ( ord_le527798542nres_b @ SY455 @ SY454 ) )
| ( ord_le527798542nres_b @ ( if_Ref1732808808nres_b @ SV37 @ SV102 @ SY455 ) @ SY454 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[619]) ).
thf(700,plain,
! [SV103: refine432681134nres_b] :
( ( ! [SY456: refine432681134nres_b,SY457: refine432681134nres_b] :
( ~ ( ~ $true
| ( ord_le527798542nres_b @ SV103 @ SY456 ) )
| ~ ( ~ ~ $true
| ( ord_le527798542nres_b @ SY457 @ SY456 ) )
| ( ord_le527798542nres_b @ ( if_Ref1732808808nres_b @ $true @ SV103 @ SY457 ) @ SY456 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[620]) ).
thf(701,plain,
! [SV104: refine432681134nres_b] :
( ( ! [SY458: refine432681134nres_b,SY459: refine432681134nres_b] :
( ~ ( ~ $false
| ( ord_le527798542nres_b @ SV104 @ SY458 ) )
| ~ ( ~ ~ $false
| ( ord_le527798542nres_b @ SY459 @ SY458 ) )
| ( ord_le527798542nres_b @ ( if_Ref1732808808nres_b @ $false @ SV104 @ SY459 ) @ SY458 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[621]) ).
thf(702,plain,
! [SV105: refine424419629nres_a,SV38: refine424419629nres_a > refine424419629nres_a > $o] :
( ( ! [SY460: refine424419629nres_a] :
( ~ ! [SY309: refine424419629nres_a] : ( SV38 @ SY309 @ refine464223677AILi_a )
| ~ ! [SY310: set_a,SY311: set_a] : ( SV38 @ ( refine1198353288_RES_a @ SY310 ) @ ( refine1198353288_RES_a @ SY311 ) )
| ~ ! [SY312: set_a] : ( SV38 @ refine464223677AILi_a @ ( refine1198353288_RES_a @ SY312 ) )
| ( SV38 @ SV105 @ SY460 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[622]) ).
thf(703,plain,
! [SV106: a,SV39: a > $o] :
( ( ! [SY465: refine432681134nres_b,SY466: set_Product_prod_b_b,SY467: a > refine432681134nres_b] :
( ~ ( SV39 @ SV106 )
| ~ ( ord_le527798542nres_b @ SY465 @ ( refine122110613un_b_b @ SY466 @ ( SY467 @ SV106 ) ) )
| ( ord_le527798542nres_b @ SY465 @ ( refine122110613un_b_b @ SY466 @ ( refine436832839nd_a_b @ ( refine1198353288_RES_a @ ( collect_a @ SV39 ) ) @ SY467 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[623]) ).
thf(704,plain,
! [SV107: refine432681134nres_b,SV40: refine432681134nres_b] :
( ( ! [SY468: refine432681134nres_b > refine432681134nres_b,SY469: refine432681134nres_b] :
( ~ ( ord_le527798542nres_b @ SV40 @ SV107 )
| ~ ( ord_le527798542nres_b @ ( SY468 @ SV107 ) @ SY469 )
| ~ ! [SX4: refine432681134nres_b,SX5: refine432681134nres_b] :
( ~ ( ord_le527798542nres_b @ SX4 @ SX5 )
| ( ord_le527798542nres_b @ ( SY468 @ SX4 ) @ ( SY468 @ SX5 ) ) )
| ( ord_le527798542nres_b @ ( SY468 @ SV40 ) @ SY469 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[624]) ).
thf(705,plain,
! [SV108: refine424419629nres_a > refine432681134nres_b,SV41: refine432681134nres_b] :
( ( ! [SY472: refine424419629nres_a,SY473: refine424419629nres_a] :
( ~ ( ord_le527798542nres_b @ SV41 @ ( SV108 @ SY472 ) )
| ~ ( ord_le519537037nres_a @ SY472 @ SY473 )
| ~ ! [SY474: refine424419629nres_a,SY475: refine424419629nres_a] :
( ~ ( ord_le519537037nres_a @ SY474 @ SY475 )
| ( ord_le527798542nres_b @ ( SV108 @ SY474 ) @ ( SV108 @ SY475 ) ) )
| ( ord_le527798542nres_b @ SV41 @ ( SV108 @ SY473 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[625]) ).
thf(706,plain,
! [SV109: refine432681134nres_b,SV42: refine432681134nres_b] :
( ( ( SV42 != top_to240090974nres_b )
| ( ord_le527798542nres_b @ SV109 @ SV42 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[626]) ).
thf(707,plain,
! [SV110: refine432681134nres_b,SV43: refine432681134nres_b] :
( ( ! [SY476: set_Product_prod_b_b,SY477: refine432681134nres_b] :
( ~ ( ord_le527798542nres_b @ SV43 @ SV110 )
| ~ ( ord_le527798542nres_b @ ( refine1964549110un_b_b @ SY476 @ SV110 ) @ SY477 )
| ( ord_le527798542nres_b @ ( refine1964549110un_b_b @ SY476 @ SV43 ) @ SY477 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[627]) ).
thf(708,plain,
! [SV111: refine432681134nres_b] :
( ( ( ^ [SY478: refine432681134nres_b] : ( SV111 = SY478 ) )
= ( ^ [SY479: refine432681134nres_b] :
~ ( ~ ( ord_le527798542nres_b @ SV111 @ SY479 )
| ~ ( ord_le527798542nres_b @ SY479 @ SV111 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[628]) ).
thf(709,plain,
! [SV112: refine432681134nres_b,SV45: refine432681134nres_b] :
( ( ! [SY480: refine432681134nres_b] :
( ~ ( ord_le527798542nres_b @ SV45 @ SV112 )
| ~ ( ord_le527798542nres_b @ SV112 @ SY480 )
| ( ord_le527798542nres_b @ SV45 @ SY480 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[630]) ).
thf(710,plain,
! [SV113: refine424419629nres_a,SV46: refine424419629nres_a] :
( ( ! [SY481: a > $o] :
( ~ ( ord_le519537037nres_a @ SV46 @ SV113 )
| ~ ( ord_le519537037nres_a @ SV113 @ ( refine1198353288_RES_a @ ( collect_a @ SY481 ) ) )
| ( ord_le519537037nres_a @ SV46 @ ( refine1198353288_RES_a @ ( collect_a @ SY481 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[631]) ).
thf(711,plain,
! [SV114: refine432681134nres_b,SV47: refine432681134nres_b] :
( ( ~ ( ord_le527798542nres_b @ SV47 @ SV114 )
| ~ ( refine412683990fail_b @ SV114 )
| ( refine412683990fail_b @ SV47 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[632]) ).
thf(712,plain,
! [SV115: a > $o,SV48: a > $o] :
( ( ~ ! [SY482: a] :
( ~ ( SV48 @ SY482 )
| ( SV115 @ SY482 ) )
| ( ord_less_eq_set_a @ ( collect_a @ SV48 ) @ ( collect_a @ SV115 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[633]) ).
thf(713,plain,
! [SV116: refine432681134nres_b > refine424419629nres_a,SV49: refine424419629nres_a] :
( ( ! [SY483: refine432681134nres_b,SY484: refine432681134nres_b] :
( ~ ( ord_le519537037nres_a @ SV49 @ ( SV116 @ SY483 ) )
| ~ ( ord_le527798542nres_b @ SY483 @ SY484 )
| ~ ! [SY485: refine432681134nres_b,SY486: refine432681134nres_b] :
( ~ ( ord_le527798542nres_b @ SY485 @ SY486 )
| ( ord_le519537037nres_a @ ( SV116 @ SY485 ) @ ( SV116 @ SY486 ) ) )
| ( ord_le519537037nres_a @ SV49 @ ( SV116 @ SY484 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[634]) ).
thf(714,plain,
! [SV117: refine432681134nres_b > refine432681134nres_b,SV50: refine432681134nres_b] :
( ( ! [SY487: refine432681134nres_b,SY488: refine432681134nres_b] :
( ( SV50
!= ( SV117 @ SY487 ) )
| ~ ( ord_le527798542nres_b @ SY487 @ SY488 )
| ~ ! [SY489: refine432681134nres_b,SY490: refine432681134nres_b] :
( ~ ( ord_le527798542nres_b @ SY489 @ SY490 )
| ( ord_le527798542nres_b @ ( SV117 @ SY489 ) @ ( SV117 @ SY490 ) ) )
| ( ord_le527798542nres_b @ SV50 @ ( SV117 @ SY488 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[635]) ).
thf(715,plain,
! [SV118: set_a,SV51: a] :
( ( ! [SY491: refine432681134nres_b,SY492: a > refine432681134nres_b] :
( ~ ( member_a @ SV51 @ SV118 )
| ~ ( ord_le527798542nres_b @ SY491 @ ( SY492 @ SV51 ) )
| ( ord_le527798542nres_b @ SY491 @ ( refine436832839nd_a_b @ ( refine1198353288_RES_a @ SV118 ) @ SY492 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[636]) ).
thf(716,plain,
! [SV119: refine432681134nres_b,SV52: refine432681134nres_b] :
( ( ! [SY493: refine432681134nres_b,SY494: refine432681134nres_b,SY495: $o] :
( ~ ( ord_le527798542nres_b @ SV52 @ SV119 )
| ~ ( ord_le527798542nres_b @ SY493 @ SY494 )
| ( ord_le527798542nres_b @ ( if_Ref1732808808nres_b @ SY495 @ SV52 @ SY493 ) @ ( if_Ref1732808808nres_b @ SY495 @ SV119 @ SY494 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[637]) ).
thf(717,plain,
! [SV53: refine424419629nres_a] :
( ( ( ~ ( ( SV53 != top_to231829469nres_a ) ) )
= $true )
| ( ( ~ ! [SY357: set_a] :
( SV53
!= ( refine1198353288_RES_a @ SY357 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[638]) ).
thf(718,plain,
! [SV120: refine432681134nres_b] :
( ( ( ^ [SY496: refine432681134nres_b] : ( SV120 = SY496 ) )
= ( ^ [SY497: refine432681134nres_b] :
~ ( ~ ( ord_le527798542nres_b @ SV120 @ SY497 )
| ~ ( ord_le527798542nres_b @ SY497 @ SV120 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[639]) ).
thf(719,plain,
! [SV121: refine432681134nres_b,SV55: refine432681134nres_b] :
( ( ! [SY498: refine432681134nres_b] :
( ~ ( ord_le527798542nres_b @ SV55 @ SV121 )
| ( SV121 != SY498 )
| ( ord_le527798542nres_b @ SV55 @ SY498 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[641]) ).
thf(720,plain,
! [SV122: a > $o,SV56: a > $o] :
( ( ~ ! [SY499: a] :
( ~ ( SV56 @ SY499 )
| ( SV122 @ SY499 ) )
| ( ord_le519537037nres_a @ ( refine1198353288_RES_a @ ( collect_a @ SV56 ) ) @ ( refine1198353288_RES_a @ ( collect_a @ SV122 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[642]) ).
thf(721,plain,
! [SV57: set_a] :
( ( refine464223677AILi_a
= ( refine1198353288_RES_a @ SV57 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[643]) ).
thf(722,plain,
! [SV123: refine424419629nres_a] :
( ( ( refine412683989fail_a @ SV123 )
= ( ~ ! [SY500: set_a] :
( SV123
!= ( refine1198353288_RES_a @ SY500 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[644]) ).
thf(723,plain,
! [SV124: refine424419629nres_a,SV59: refine424419629nres_a] :
( ( ! [SY501: refine424419629nres_a > refine432681134nres_b,SY502: refine432681134nres_b] :
( ~ ( ord_le519537037nres_a @ SV59 @ SV124 )
| ( ( SY501 @ SV124 )
!= SY502 )
| ~ ! [SX4: refine424419629nres_a,SX5: refine424419629nres_a] :
( ~ ( ord_le519537037nres_a @ SX4 @ SX5 )
| ( ord_le527798542nres_b @ ( SY501 @ SX4 ) @ ( SY501 @ SX5 ) ) )
| ( ord_le527798542nres_b @ ( SY501 @ SV59 ) @ SY502 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[646]) ).
thf(724,plain,
! [SV125: refine432681134nres_b > refine432681134nres_b,SV60: refine432681134nres_b] :
( ( ! [SY505: refine432681134nres_b,SY506: refine432681134nres_b] :
( ~ ( ord_le527798542nres_b @ SV60 @ ( SV125 @ SY505 ) )
| ~ ( ord_le527798542nres_b @ SY505 @ SY506 )
| ~ ! [SY507: refine432681134nres_b,SY508: refine432681134nres_b] :
( ~ ( ord_le527798542nres_b @ SY507 @ SY508 )
| ( ord_le527798542nres_b @ ( SV125 @ SY507 ) @ ( SV125 @ SY508 ) ) )
| ( ord_le527798542nres_b @ SV60 @ ( SV125 @ SY506 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[647]) ).
thf(725,plain,
! [SV126: refine424419629nres_a,SV61: refine424419629nres_a > refine424419629nres_a > $o] :
( ( ! [SY509: refine424419629nres_a] :
( ~ ! [SY377: refine424419629nres_a] : ( SV61 @ SY377 @ refine464223677AILi_a )
| ~ ! [SY378: set_a] : ( SV61 @ refine464223677AILi_a @ ( refine1198353288_RES_a @ SY378 ) )
| ~ ! [SY379: set_a,SY380: set_a] : ( SV61 @ ( refine1198353288_RES_a @ SY379 ) @ ( refine1198353288_RES_a @ SY380 ) )
| ( SV61 @ SV126 @ SY509 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[648]) ).
thf(726,plain,
! [SV127: a > $o,SV62: a > $o] :
( ( ( ord_less_eq_set_a @ ( collect_a @ SV62 ) @ ( collect_a @ SV127 ) )
= ( ! [SY514: a] :
( ~ ( SV62 @ SY514 )
| ( SV127 @ SY514 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[649]) ).
thf(727,plain,
! [SV63: refine432681134nres_b] :
( ( ( ~ ( ord_le527798542nres_b @ top_to240090974nres_b @ SV63 ) )
= $true )
| ( ( SV63 = top_to240090974nres_b )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[650]) ).
thf(728,plain,
! [SV64: refine424419629nres_a] :
( ( ( ~ ( ( SV64 != refine464223677AILi_a ) ) )
= $true )
| ( ( ~ ! [SY383: set_a] :
( SV64
!= ( refine1198353288_RES_a @ SY383 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[651]) ).
thf(729,plain,
! [SV128: refine432681134nres_b > refine424419629nres_a,SV65: refine424419629nres_a] :
( ( ! [SY515: refine432681134nres_b,SY516: refine432681134nres_b] :
( ( SV65
!= ( SV128 @ SY515 ) )
| ~ ( ord_le527798542nres_b @ SY515 @ SY516 )
| ~ ! [SY517: refine432681134nres_b,SY518: refine432681134nres_b] :
( ~ ( ord_le527798542nres_b @ SY517 @ SY518 )
| ( ord_le519537037nres_a @ ( SV128 @ SY517 ) @ ( SV128 @ SY518 ) ) )
| ( ord_le519537037nres_a @ SV65 @ ( SV128 @ SY516 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[652]) ).
thf(730,plain,
! [SV129: $o > refine432681134nres_b,SV66: $o > refine432681134nres_b] :
( ( ! [SY519: $o] :
( ~ ( ord_le1656162903nres_b @ SV66 @ SV129 )
| ( ord_le527798542nres_b @ ( SV66 @ SY519 ) @ ( SV129 @ SY519 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[653]) ).
thf(731,plain,
! [SV130: refine432681134nres_b,SV67: refine432681134nres_b] :
( ( ! [SY520: b] :
( ~ ( ord_le527798542nres_b @ SV67 @ SV130 )
| ~ ( refine1001002028nres_b @ SV67 @ SY520 )
| ( refine1001002028nres_b @ SV130 @ SY520 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[654]) ).
thf(732,plain,
! [SV131: refine432681134nres_b] :
( ( ( ^ [SY521: refine432681134nres_b] : ( SV131 = SY521 ) )
= ( ^ [SY522: refine432681134nres_b] :
~ ( ~ ( ord_le527798542nres_b @ SY522 @ SV131 )
| ~ ( ord_le527798542nres_b @ SV131 @ SY522 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[655]) ).
thf(733,plain,
! [SV132: refine424419629nres_a,SV69: refine424419629nres_a] :
( ( ! [SY523: refine424419629nres_a > refine432681134nres_b,SY524: refine432681134nres_b] :
( ~ ( ord_le519537037nres_a @ SV69 @ SV132 )
| ~ ( ord_le527798542nres_b @ ( SY523 @ SV132 ) @ SY524 )
| ~ ! [SX4: refine424419629nres_a,SX5: refine424419629nres_a] :
( ~ ( ord_le519537037nres_a @ SX4 @ SX5 )
| ( ord_le527798542nres_b @ ( SY523 @ SX4 ) @ ( SY523 @ SX5 ) ) )
| ( ord_le527798542nres_b @ ( SY523 @ SV69 ) @ SY524 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[657]) ).
thf(734,plain,
! [SV133: refine432681134nres_b,SV70: refine432681134nres_b > $o] :
( ( ! [SY527: refine432681134nres_b > $o] :
( ~ ( SV70 @ SV133 )
| ~ ! [SY528: refine432681134nres_b] :
( ~ ( SV70 @ SY528 )
| ( ord_le527798542nres_b @ SY528 @ SV133 ) )
| ~ ! [SY403: refine432681134nres_b] :
( ~ ( SV70 @ SY403 )
| ~ ! [SY404: refine432681134nres_b] :
( ~ ( SV70 @ SY404 )
| ( ord_le527798542nres_b @ SY404 @ SY403 ) )
| ( SY527 @ SY403 ) )
| ( SY527 @ ( order_1722590613nres_b @ SV70 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[658]) ).
thf(735,plain,
! [SV134: refine432681134nres_b,SV71: refine432681134nres_b] :
( ( ~ ( ~ ( refine412683990fail_b @ SV71 )
| ( ord_le527798542nres_b @ SV134 @ SV71 ) )
| ( ord_le527798542nres_b @ SV134 @ SV71 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[659]) ).
thf(736,plain,
! [SV135: refine424419629nres_a > refine432681134nres_b,SV72: refine432681134nres_b] :
( ( ! [SY531: refine424419629nres_a,SY532: refine424419629nres_a] :
( ( SV72
!= ( SV135 @ SY531 ) )
| ~ ( ord_le519537037nres_a @ SY531 @ SY532 )
| ~ ! [SY533: refine424419629nres_a,SY534: refine424419629nres_a] :
( ~ ( ord_le519537037nres_a @ SY533 @ SY534 )
| ( ord_le527798542nres_b @ ( SV135 @ SY533 ) @ ( SV135 @ SY534 ) ) )
| ( ord_le527798542nres_b @ SV72 @ ( SV135 @ SY532 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[660]) ).
thf(737,plain,
! [SV136: refine432681134nres_b,SV73: refine432681134nres_b] :
( ( ~ ( ord_le527798542nres_b @ SV73 @ SV136 )
| ~ ( ord_le527798542nres_b @ SV136 @ SV73 )
| ( SV136 = SV73 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[661]) ).
thf(738,plain,
! [SV137: refine432681134nres_b,SV74: refine432681134nres_b] :
( ( ! [SY535: refine432681134nres_b > refine424419629nres_a,SY536: refine424419629nres_a] :
( ~ ( ord_le527798542nres_b @ SV74 @ SV137 )
| ~ ( ord_le519537037nres_a @ ( SY535 @ SV137 ) @ SY536 )
| ~ ! [SX4: refine432681134nres_b,SX5: refine432681134nres_b] :
( ~ ( ord_le527798542nres_b @ SX4 @ SX5 )
| ( ord_le519537037nres_a @ ( SY535 @ SX4 ) @ ( SY535 @ SX5 ) ) )
| ( ord_le519537037nres_a @ ( SY535 @ SV74 ) @ SY536 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[662]) ).
thf(739,plain,
! [SV138: refine432681134nres_b,SV75: refine432681134nres_b] :
( ( ~ ( ord_le527798542nres_b @ SV75 @ SV138 )
| ~ ( ord_le527798542nres_b @ SV138 @ SV75 )
| ( SV75 = SV138 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[663]) ).
thf(740,plain,
! [SV139: $o > refine432681134nres_b] :
( ( ( ord_le1656162903nres_b @ SV139 )
= ( ^ [SY539: $o > refine432681134nres_b] :
~ ( ~ ( ord_le527798542nres_b @ ( SV139 @ $false ) @ ( SY539 @ $false ) )
| ~ ( ord_le527798542nres_b @ ( SV139 @ $true ) @ ( SY539 @ $true ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[664]) ).
thf(741,plain,
! [SV77: set_a,SV1: set_a] :
( ( ~ ( ( ( refine1198353288_RES_a @ SV1 )
= ( refine1198353288_RES_a @ SV77 ) )
| ( SV1 = SV77 ) )
| ~ ( ( ( refine1198353288_RES_a @ SV1 )
!= ( refine1198353288_RES_a @ SV77 ) )
| ( SV1 != SV77 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[666]) ).
thf(742,plain,
! [SV77: set_a,SV1: set_a] :
( ( ( ( refine1198353288_RES_a @ SV1 )
= ( refine1198353288_RES_a @ SV77 ) )
= ( SV1 = SV77 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[666]) ).
thf(743,plain,
! [SV78: set_a,SV2: set_a] :
( ( ~ ( ( ( refine1198353288_RES_a @ SV2 )
= ( refine1198353288_RES_a @ SV78 ) )
| ( SV2 = SV78 ) )
| ~ ( ( ( refine1198353288_RES_a @ SV2 )
!= ( refine1198353288_RES_a @ SV78 ) )
| ( SV2 != SV78 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[667]) ).
thf(744,plain,
! [SV78: set_a,SV2: set_a] :
( ( ( ( refine1198353288_RES_a @ SV2 )
= ( refine1198353288_RES_a @ SV78 ) )
= ( SV2 = SV78 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[667]) ).
thf(745,plain,
! [SV79: a,SV5: a > $o] :
( ( ~ ( ( refine1312857699nres_a @ ( refine1198353288_RES_a @ ( collect_a @ SV5 ) ) @ SV79 )
| ( SV5 @ SV79 ) )
| ~ ( ~ ( refine1312857699nres_a @ ( refine1198353288_RES_a @ ( collect_a @ SV5 ) ) @ SV79 )
| ~ ( SV5 @ SV79 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[668]) ).
thf(746,plain,
! [SV79: a,SV5: a > $o] :
( ( ( refine1312857699nres_a @ ( refine1198353288_RES_a @ ( collect_a @ SV5 ) ) @ SV79 )
= ( SV5 @ SV79 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[668]) ).
thf(747,plain,
! [SV80: a > $o,SV7: a] :
( ( ~ ( ( member_a @ SV7 @ ( collect_a @ SV80 ) )
| ( SV80 @ SV7 ) )
| ~ ( ~ ( member_a @ SV7 @ ( collect_a @ SV80 ) )
| ~ ( SV80 @ SV7 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[669]) ).
thf(748,plain,
! [SV80: a > $o,SV7: a] :
( ( ( member_a @ SV7 @ ( collect_a @ SV80 ) )
= ( SV80 @ SV7 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[669]) ).
thf(749,plain,
! [SV81: b,SV11: b] :
( ( ~ ( ( ord_le527798542nres_b @ ( refine2063221605TURN_b @ SV11 ) @ ( refine2063221605TURN_b @ SV81 ) )
| ( SV11 = SV81 ) )
| ~ ( ~ ( ord_le527798542nres_b @ ( refine2063221605TURN_b @ SV11 ) @ ( refine2063221605TURN_b @ SV81 ) )
| ( SV11 != SV81 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[670]) ).
thf(750,plain,
! [SV81: b,SV11: b] :
( ( ( ord_le527798542nres_b @ ( refine2063221605TURN_b @ SV11 ) @ ( refine2063221605TURN_b @ SV81 ) )
= ( SV11 = SV81 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[670]) ).
thf(751,plain,
! [SV14: refine432681134nres_b] :
( ( ( ~ ( ( ord_le527798542nres_b @ top_to240090974nres_b @ SV14 )
| ( SV14 = top_to240090974nres_b ) ) )
= $true )
| ( ( ~ ( ~ ( ord_le527798542nres_b @ top_to240090974nres_b @ SV14 )
| ( SV14 != top_to240090974nres_b ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[672]) ).
thf(752,plain,
! [SV16: refine432681134nres_b] :
( ( ( ~ ( ( ord_le527798542nres_b @ top_to240090974nres_b @ SV16 )
| ( SV16 = top_to240090974nres_b ) ) )
= $true )
| ( ( ~ ( ~ ( ord_le527798542nres_b @ top_to240090974nres_b @ SV16 )
| ( SV16 != top_to240090974nres_b ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[674]) ).
thf(753,plain,
! [SV18: $o] :
( ( ( ~ ( SV18
| $true )
| ~ ( ~ SV18
| ~ $true ) )
= $true )
| ( ( SV18 = $false )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[676]) ).
thf(754,plain,
! [SV18: $o] :
( ( ( SV18 = $true )
= $true )
| ( ( SV18 = $false )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[676]) ).
thf(755,plain,
( ( ( ~ ( $true
| $true )
| ~ ( ~ $true
| ~ $true ) )
= $true )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[677]) ).
thf(756,plain,
( ( ( $true = $true )
= $true )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[677]) ).
thf(757,plain,
( ( ( ~ ( $false
| $true )
| ~ ( ~ $false
| ~ $true ) )
= $true )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[678]) ).
thf(758,plain,
( ( ( $false = $true )
= $true )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[678]) ).
thf(759,plain,
! [SV83: refine432681134nres_b,SV19: refine432681134nres_b] :
( ( ( ~ ( ord_le527798542nres_b @ SV19 @ SV83 ) )
= $true )
| ( ( ( ord_le527798542nres_b @ SV83 @ SV19 )
= ( SV83 = SV19 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[679]) ).
thf(760,plain,
! [SV84: refine432681134nres_b,SV20: refine432681134nres_b > $o] :
( ( ( ~ ( SV20 @ SV84 ) )
= $true )
| ( ( ~ ! [SY419: refine432681134nres_b] :
( ~ ( SV20 @ SY419 )
| ( ord_le527798542nres_b @ SY419 @ SV84 ) )
| ( ( order_1722590613nres_b @ SV20 )
= SV84 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[680]) ).
thf(761,plain,
! [SV140: refine432681134nres_b,SV85: refine432681134nres_b,SV21: $o] :
( ( ! [SY540: refine432681134nres_b,SY541: refine432681134nres_b] :
( ~ ( ~ SV21
| ( ord_le527798542nres_b @ SV85 @ SV140 ) )
| ~ ( ~ ~ SV21
| ( ord_le527798542nres_b @ SY540 @ SY541 ) )
| ( ord_le527798542nres_b @ ( if_Ref1732808808nres_b @ SV21 @ SV85 @ SY540 ) @ ( if_Ref1732808808nres_b @ SV21 @ SV140 @ SY541 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[681]) ).
thf(762,plain,
! [SV141: refine432681134nres_b,SV86: refine432681134nres_b] :
( ( ! [SY542: refine432681134nres_b,SY543: refine432681134nres_b] :
( ~ ( ~ $true
| ( ord_le527798542nres_b @ SV86 @ SV141 ) )
| ~ ( ~ ~ $true
| ( ord_le527798542nres_b @ SY542 @ SY543 ) )
| ( ord_le527798542nres_b @ ( if_Ref1732808808nres_b @ $true @ SV86 @ SY542 ) @ ( if_Ref1732808808nres_b @ $true @ SV141 @ SY543 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[682]) ).
thf(763,plain,
! [SV142: refine432681134nres_b,SV87: refine432681134nres_b] :
( ( ! [SY544: refine432681134nres_b,SY545: refine432681134nres_b] :
( ~ ( ~ $false
| ( ord_le527798542nres_b @ SV87 @ SV142 ) )
| ~ ( ~ ~ $false
| ( ord_le527798542nres_b @ SY544 @ SY545 ) )
| ( ord_le527798542nres_b @ ( if_Ref1732808808nres_b @ $false @ SV87 @ SY544 ) @ ( if_Ref1732808808nres_b @ $false @ SV142 @ SY545 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[683]) ).
thf(764,plain,
! [SV143: refine432681134nres_b,SV88: refine432681134nres_b,SV22: refine432681134nres_b] :
( ( ~ ( ord_le527798542nres_b @ SV22 @ SV88 )
| ~ ( ord_le527798542nres_b @ SV143 @ SV22 )
| ( ord_le527798542nres_b @ SV143 @ SV88 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[684]) ).
thf(765,plain,
! [SV144: refine432681134nres_b,SV89: set_Product_prod_b_b,SV23: refine432681134nres_b] :
( ( ! [SY546: refine432681134nres_b] :
( ~ ( ord_le527798542nres_b @ SV23 @ ( refine122110613un_b_b @ SV89 @ SV144 ) )
| ~ ( ord_le527798542nres_b @ SV144 @ SY546 )
| ( ord_le527798542nres_b @ SV23 @ ( refine122110613un_b_b @ SV89 @ SY546 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[685]) ).
thf(766,plain,
! [SV90: refine432681134nres_b,SV24: refine432681134nres_b] :
( ( ( SV24 != SV90 )
= $true )
| ( ( ord_le527798542nres_b @ SV24 @ SV90 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[686]) ).
thf(767,plain,
! [SV91: refine432681134nres_b,SV25: refine432681134nres_b] :
( ( ( ~ ( ord_le527798542nres_b @ SV25 @ SV91 ) )
= $true )
| ( ( ~ ( ord_le527798542nres_b @ SV91 @ SV25 )
| ( SV25 = SV91 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[687]) ).
thf(768,plain,
! [SV145: refine432681134nres_b,SV92: refine432681134nres_b,SV26: refine432681134nres_b] :
( ( ( SV26 != SV92 )
| ~ ( ord_le527798542nres_b @ SV92 @ SV145 )
| ( ord_le527798542nres_b @ SV26 @ SV145 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[688]) ).
thf(769,plain,
! [SV93: refine424419629nres_a,SV27: refine424419629nres_a > $o] :
( ( ( ~ ( SV27 @ refine464223677AILi_a ) )
= $true )
| ( ( ~ ! [SY275: set_a] : ( SV27 @ ( refine1198353288_RES_a @ SY275 ) )
| ( SV27 @ SV93 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[689]) ).
thf(770,plain,
! [SV146: $o,SV94: $o > refine432681134nres_b,SV28: $o > refine432681134nres_b] :
( ( ~ ( ord_le1656162903nres_b @ SV28 @ SV94 )
| ( ord_le527798542nres_b @ ( SV28 @ SV146 ) @ ( SV94 @ SV146 ) ) )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[690]) ).
thf(771,plain,
! [SV94: $o > refine432681134nres_b,SV28: $o > refine432681134nres_b] :
( ( ~ ( ord_le1656162903nres_b @ SV28 @ SV94 )
| ( ord_le527798542nres_b @ ( SV28 @ $true ) @ ( SV94 @ $true ) ) )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[690]) ).
thf(772,plain,
! [SV94: $o > refine432681134nres_b,SV28: $o > refine432681134nres_b] :
( ( ~ ( ord_le1656162903nres_b @ SV28 @ SV94 )
| ( ord_le527798542nres_b @ ( SV28 @ $false ) @ ( SV94 @ $false ) ) )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[690]) ).
thf(773,plain,
! [SV147: a > $o,SV95: a > $o,SV30: refine424419629nres_a] :
( ( ~ ( ord_le519537037nres_a @ SV30 @ ( refine1198353288_RES_a @ ( collect_a @ SV95 ) ) )
| ~ ! [SY547: a] :
( ~ ( SV95 @ SY547 )
| ( SV147 @ SY547 ) )
| ( ord_le519537037nres_a @ SV30 @ ( refine1198353288_RES_a @ ( collect_a @ SV147 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[692]) ).
thf(774,plain,
! [SV148: refine424419629nres_a,SV96: refine424419629nres_a,SV31: refine424419629nres_a > refine424419629nres_a > $o] :
( ( ~ ! [SY283: refine424419629nres_a] : ( SV31 @ refine464223677AILi_a @ SY283 )
| ~ ! [SY284: set_a] : ( SV31 @ ( refine1198353288_RES_a @ SY284 ) @ refine464223677AILi_a )
| ~ ! [SY285: set_a,SY286: set_a] : ( SV31 @ ( refine1198353288_RES_a @ SY285 ) @ ( refine1198353288_RES_a @ SY286 ) )
| ( SV31 @ SV96 @ SV148 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[693]) ).
thf(775,plain,
! [SV97: a > $o,SV32: a > $o] :
( ( ( ~ ! [SY442: a] :
( ( SV32 @ SY442 )
= ( SV97 @ SY442 ) ) )
= $true )
| ( ( ( collect_a @ SV32 )
= ( collect_a @ SV97 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[694]) ).
thf(776,plain,
! [SV149: refine432681134nres_b,SV98: refine432681134nres_b,SV33: refine432681134nres_b] :
( ( ! [SY552: refine432681134nres_b] :
( ( SV33 != SV98 )
| ~ ( ord_le527798542nres_b @ SV98 @ SV149 )
| ( SV149 != SY552 )
| ( ord_le527798542nres_b @ SV33 @ SY552 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[695]) ).
thf(777,plain,
! [SV150: refine432681134nres_b > refine424419629nres_a,SV99: refine432681134nres_b,SV34: refine432681134nres_b] :
( ( ! [SY553: refine424419629nres_a] :
( ~ ( ord_le527798542nres_b @ SV34 @ SV99 )
| ( ( SV150 @ SV99 )
!= SY553 )
| ~ ! [SY554: refine432681134nres_b,SY555: refine432681134nres_b] :
( ~ ( ord_le527798542nres_b @ SY554 @ SY555 )
| ( ord_le519537037nres_a @ ( SV150 @ SY554 ) @ ( SV150 @ SY555 ) ) )
| ( ord_le519537037nres_a @ ( SV150 @ SV34 ) @ SY553 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[696]) ).
thf(778,plain,
! [SV151: refine432681134nres_b > refine432681134nres_b,SV100: refine432681134nres_b,SV35: refine432681134nres_b] :
( ( ! [SY556: refine432681134nres_b] :
( ~ ( ord_le527798542nres_b @ SV35 @ SV100 )
| ( ( SV151 @ SV100 )
!= SY556 )
| ~ ! [SY557: refine432681134nres_b,SY558: refine432681134nres_b] :
( ~ ( ord_le527798542nres_b @ SY557 @ SY558 )
| ( ord_le527798542nres_b @ ( SV151 @ SY557 ) @ ( SV151 @ SY558 ) ) )
| ( ord_le527798542nres_b @ ( SV151 @ SV35 ) @ SY556 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[697]) ).
thf(779,plain,
! [SV152: refine432681134nres_b,SV101: refine432681134nres_b,SV36: refine432681134nres_b] :
( ( ~ ( ord_le527798542nres_b @ SV36 @ SV101 )
| ~ ( ord_le527798542nres_b @ SV101 @ SV152 )
| ( ord_le527798542nres_b @ SV36 @ SV152 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[698]) ).
thf(780,plain,
! [SV153: refine432681134nres_b,SV102: refine432681134nres_b,SV37: $o] :
( ( ! [SY559: refine432681134nres_b] :
( ~ ( ~ SV37
| ( ord_le527798542nres_b @ SV102 @ SV153 ) )
| ~ ( ~ ~ SV37
| ( ord_le527798542nres_b @ SY559 @ SV153 ) )
| ( ord_le527798542nres_b @ ( if_Ref1732808808nres_b @ SV37 @ SV102 @ SY559 ) @ SV153 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[699]) ).
thf(781,plain,
! [SV154: refine432681134nres_b,SV103: refine432681134nres_b] :
( ( ! [SY560: refine432681134nres_b] :
( ~ ( ~ $true
| ( ord_le527798542nres_b @ SV103 @ SV154 ) )
| ~ ( ~ ~ $true
| ( ord_le527798542nres_b @ SY560 @ SV154 ) )
| ( ord_le527798542nres_b @ ( if_Ref1732808808nres_b @ $true @ SV103 @ SY560 ) @ SV154 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[700]) ).
thf(782,plain,
! [SV155: refine432681134nres_b,SV104: refine432681134nres_b] :
( ( ! [SY561: refine432681134nres_b] :
( ~ ( ~ $false
| ( ord_le527798542nres_b @ SV104 @ SV155 ) )
| ~ ( ~ ~ $false
| ( ord_le527798542nres_b @ SY561 @ SV155 ) )
| ( ord_le527798542nres_b @ ( if_Ref1732808808nres_b @ $false @ SV104 @ SY561 ) @ SV155 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[701]) ).
thf(783,plain,
! [SV156: refine424419629nres_a,SV105: refine424419629nres_a,SV38: refine424419629nres_a > refine424419629nres_a > $o] :
( ( ~ ! [SY309: refine424419629nres_a] : ( SV38 @ SY309 @ refine464223677AILi_a )
| ~ ! [SY310: set_a,SY311: set_a] : ( SV38 @ ( refine1198353288_RES_a @ SY310 ) @ ( refine1198353288_RES_a @ SY311 ) )
| ~ ! [SY312: set_a] : ( SV38 @ refine464223677AILi_a @ ( refine1198353288_RES_a @ SY312 ) )
| ( SV38 @ SV105 @ SV156 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[702]) ).
thf(784,plain,
! [SV157: refine432681134nres_b,SV106: a,SV39: a > $o] :
( ( ! [SY566: set_Product_prod_b_b,SY567: a > refine432681134nres_b] :
( ~ ( SV39 @ SV106 )
| ~ ( ord_le527798542nres_b @ SV157 @ ( refine122110613un_b_b @ SY566 @ ( SY567 @ SV106 ) ) )
| ( ord_le527798542nres_b @ SV157 @ ( refine122110613un_b_b @ SY566 @ ( refine436832839nd_a_b @ ( refine1198353288_RES_a @ ( collect_a @ SV39 ) ) @ SY567 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[703]) ).
thf(785,plain,
! [SV158: refine432681134nres_b > refine432681134nres_b,SV107: refine432681134nres_b,SV40: refine432681134nres_b] :
( ( ! [SY568: refine432681134nres_b] :
( ~ ( ord_le527798542nres_b @ SV40 @ SV107 )
| ~ ( ord_le527798542nres_b @ ( SV158 @ SV107 ) @ SY568 )
| ~ ! [SY569: refine432681134nres_b,SY570: refine432681134nres_b] :
( ~ ( ord_le527798542nres_b @ SY569 @ SY570 )
| ( ord_le527798542nres_b @ ( SV158 @ SY569 ) @ ( SV158 @ SY570 ) ) )
| ( ord_le527798542nres_b @ ( SV158 @ SV40 ) @ SY568 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[704]) ).
thf(786,plain,
! [SV159: refine424419629nres_a,SV108: refine424419629nres_a > refine432681134nres_b,SV41: refine432681134nres_b] :
( ( ! [SY571: refine424419629nres_a] :
( ~ ( ord_le527798542nres_b @ SV41 @ ( SV108 @ SV159 ) )
| ~ ( ord_le519537037nres_a @ SV159 @ SY571 )
| ~ ! [SY474: refine424419629nres_a,SY475: refine424419629nres_a] :
( ~ ( ord_le519537037nres_a @ SY474 @ SY475 )
| ( ord_le527798542nres_b @ ( SV108 @ SY474 ) @ ( SV108 @ SY475 ) ) )
| ( ord_le527798542nres_b @ SV41 @ ( SV108 @ SY571 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[705]) ).
thf(787,plain,
! [SV109: refine432681134nres_b,SV42: refine432681134nres_b] :
( ( ( SV42 != top_to240090974nres_b )
= $true )
| ( ( ord_le527798542nres_b @ SV109 @ SV42 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[706]) ).
thf(788,plain,
! [SV160: set_Product_prod_b_b,SV110: refine432681134nres_b,SV43: refine432681134nres_b] :
( ( ! [SY574: refine432681134nres_b] :
( ~ ( ord_le527798542nres_b @ SV43 @ SV110 )
| ~ ( ord_le527798542nres_b @ ( refine1964549110un_b_b @ SV160 @ SV110 ) @ SY574 )
| ( ord_le527798542nres_b @ ( refine1964549110un_b_b @ SV160 @ SV43 ) @ SY574 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[707]) ).
thf(789,plain,
! [SV111: refine432681134nres_b] :
( ( ! [SV161: refine432681134nres_b] :
( ( SV111 = SV161 )
= ( ~ ( ~ ( ord_le527798542nres_b @ SV111 @ SV161 )
| ~ ( ord_le527798542nres_b @ SV161 @ SV111 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[708]) ).
thf(790,plain,
! [SV111: refine432681134nres_b] :
( ( ( ^ [SY478: refine432681134nres_b] : ( SV111 = SY478 ) )
= ( ^ [SY479: refine432681134nres_b] :
~ ( ~ ( ord_le527798542nres_b @ SV111 @ SY479 )
| ~ ( ord_le527798542nres_b @ SY479 @ SV111 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[708]) ).
thf(791,plain,
! [SV162: refine432681134nres_b,SV112: refine432681134nres_b,SV45: refine432681134nres_b] :
( ( ~ ( ord_le527798542nres_b @ SV45 @ SV112 )
| ~ ( ord_le527798542nres_b @ SV112 @ SV162 )
| ( ord_le527798542nres_b @ SV45 @ SV162 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[709]) ).
thf(792,plain,
! [SV163: a > $o,SV113: refine424419629nres_a,SV46: refine424419629nres_a] :
( ( ~ ( ord_le519537037nres_a @ SV46 @ SV113 )
| ~ ( ord_le519537037nres_a @ SV113 @ ( refine1198353288_RES_a @ ( collect_a @ SV163 ) ) )
| ( ord_le519537037nres_a @ SV46 @ ( refine1198353288_RES_a @ ( collect_a @ SV163 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[710]) ).
thf(793,plain,
! [SV114: refine432681134nres_b,SV47: refine432681134nres_b] :
( ( ( ~ ( ord_le527798542nres_b @ SV47 @ SV114 ) )
= $true )
| ( ( ~ ( refine412683990fail_b @ SV114 )
| ( refine412683990fail_b @ SV47 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[711]) ).
thf(794,plain,
! [SV115: a > $o,SV48: a > $o] :
( ( ( ~ ! [SY482: a] :
( ~ ( SV48 @ SY482 )
| ( SV115 @ SY482 ) ) )
= $true )
| ( ( ord_less_eq_set_a @ ( collect_a @ SV48 ) @ ( collect_a @ SV115 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[712]) ).
thf(795,plain,
! [SV164: refine432681134nres_b,SV116: refine432681134nres_b > refine424419629nres_a,SV49: refine424419629nres_a] :
( ( ! [SY575: refine432681134nres_b] :
( ~ ( ord_le519537037nres_a @ SV49 @ ( SV116 @ SV164 ) )
| ~ ( ord_le527798542nres_b @ SV164 @ SY575 )
| ~ ! [SY485: refine432681134nres_b,SY486: refine432681134nres_b] :
( ~ ( ord_le527798542nres_b @ SY485 @ SY486 )
| ( ord_le519537037nres_a @ ( SV116 @ SY485 ) @ ( SV116 @ SY486 ) ) )
| ( ord_le519537037nres_a @ SV49 @ ( SV116 @ SY575 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[713]) ).
thf(796,plain,
! [SV165: refine432681134nres_b,SV117: refine432681134nres_b > refine432681134nres_b,SV50: refine432681134nres_b] :
( ( ! [SY578: refine432681134nres_b] :
( ( SV50
!= ( SV117 @ SV165 ) )
| ~ ( ord_le527798542nres_b @ SV165 @ SY578 )
| ~ ! [SY489: refine432681134nres_b,SY490: refine432681134nres_b] :
( ~ ( ord_le527798542nres_b @ SY489 @ SY490 )
| ( ord_le527798542nres_b @ ( SV117 @ SY489 ) @ ( SV117 @ SY490 ) ) )
| ( ord_le527798542nres_b @ SV50 @ ( SV117 @ SY578 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[714]) ).
thf(797,plain,
! [SV166: refine432681134nres_b,SV118: set_a,SV51: a] :
( ( ! [SY581: a > refine432681134nres_b] :
( ~ ( member_a @ SV51 @ SV118 )
| ~ ( ord_le527798542nres_b @ SV166 @ ( SY581 @ SV51 ) )
| ( ord_le527798542nres_b @ SV166 @ ( refine436832839nd_a_b @ ( refine1198353288_RES_a @ SV118 ) @ SY581 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[715]) ).
thf(798,plain,
! [SV167: refine432681134nres_b,SV119: refine432681134nres_b,SV52: refine432681134nres_b] :
( ( ! [SY582: refine432681134nres_b,SY583: $o] :
( ~ ( ord_le527798542nres_b @ SV52 @ SV119 )
| ~ ( ord_le527798542nres_b @ SV167 @ SY582 )
| ( ord_le527798542nres_b @ ( if_Ref1732808808nres_b @ SY583 @ SV52 @ SV167 ) @ ( if_Ref1732808808nres_b @ SY583 @ SV119 @ SY582 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[716]) ).
thf(799,plain,
! [SV53: refine424419629nres_a] :
( ( ( SV53 != top_to231829469nres_a )
= $false )
| ( ( ~ ! [SY357: set_a] :
( SV53
!= ( refine1198353288_RES_a @ SY357 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[717]) ).
thf(800,plain,
! [SV120: refine432681134nres_b] :
( ( ! [SV168: refine432681134nres_b] :
( ( SV120 = SV168 )
= ( ~ ( ~ ( ord_le527798542nres_b @ SV120 @ SV168 )
| ~ ( ord_le527798542nres_b @ SV168 @ SV120 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[718]) ).
thf(801,plain,
! [SV120: refine432681134nres_b] :
( ( ( ^ [SY496: refine432681134nres_b] : ( SV120 = SY496 ) )
= ( ^ [SY497: refine432681134nres_b] :
~ ( ~ ( ord_le527798542nres_b @ SV120 @ SY497 )
| ~ ( ord_le527798542nres_b @ SY497 @ SV120 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[718]) ).
thf(802,plain,
! [SV169: refine432681134nres_b,SV121: refine432681134nres_b,SV55: refine432681134nres_b] :
( ( ~ ( ord_le527798542nres_b @ SV55 @ SV121 )
| ( SV121 != SV169 )
| ( ord_le527798542nres_b @ SV55 @ SV169 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[719]) ).
thf(803,plain,
! [SV122: a > $o,SV56: a > $o] :
( ( ( ~ ! [SY499: a] :
( ~ ( SV56 @ SY499 )
| ( SV122 @ SY499 ) ) )
= $true )
| ( ( ord_le519537037nres_a @ ( refine1198353288_RES_a @ ( collect_a @ SV56 ) ) @ ( refine1198353288_RES_a @ ( collect_a @ SV122 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[720]) ).
thf(804,plain,
! [SV123: refine424419629nres_a] :
( ( ~ ( ( refine412683989fail_a @ SV123 )
| ~ ! [SY500: set_a] :
( SV123
!= ( refine1198353288_RES_a @ SY500 ) ) )
| ~ ( ~ ( refine412683989fail_a @ SV123 )
| ~ ~ ! [SY500: set_a] :
( SV123
!= ( refine1198353288_RES_a @ SY500 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[722]) ).
thf(805,plain,
! [SV123: refine424419629nres_a] :
( ( ( refine412683989fail_a @ SV123 )
= ( ~ ! [SY500: set_a] :
( SV123
!= ( refine1198353288_RES_a @ SY500 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[722]) ).
thf(806,plain,
! [SV170: refine424419629nres_a > refine432681134nres_b,SV124: refine424419629nres_a,SV59: refine424419629nres_a] :
( ( ! [SY584: refine432681134nres_b] :
( ~ ( ord_le519537037nres_a @ SV59 @ SV124 )
| ( ( SV170 @ SV124 )
!= SY584 )
| ~ ! [SY585: refine424419629nres_a,SY586: refine424419629nres_a] :
( ~ ( ord_le519537037nres_a @ SY585 @ SY586 )
| ( ord_le527798542nres_b @ ( SV170 @ SY585 ) @ ( SV170 @ SY586 ) ) )
| ( ord_le527798542nres_b @ ( SV170 @ SV59 ) @ SY584 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[723]) ).
thf(807,plain,
! [SV171: refine432681134nres_b,SV125: refine432681134nres_b > refine432681134nres_b,SV60: refine432681134nres_b] :
( ( ! [SY587: refine432681134nres_b] :
( ~ ( ord_le527798542nres_b @ SV60 @ ( SV125 @ SV171 ) )
| ~ ( ord_le527798542nres_b @ SV171 @ SY587 )
| ~ ! [SY507: refine432681134nres_b,SY508: refine432681134nres_b] :
( ~ ( ord_le527798542nres_b @ SY507 @ SY508 )
| ( ord_le527798542nres_b @ ( SV125 @ SY507 ) @ ( SV125 @ SY508 ) ) )
| ( ord_le527798542nres_b @ SV60 @ ( SV125 @ SY587 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[724]) ).
thf(808,plain,
! [SV172: refine424419629nres_a,SV126: refine424419629nres_a,SV61: refine424419629nres_a > refine424419629nres_a > $o] :
( ( ~ ! [SY377: refine424419629nres_a] : ( SV61 @ SY377 @ refine464223677AILi_a )
| ~ ! [SY378: set_a] : ( SV61 @ refine464223677AILi_a @ ( refine1198353288_RES_a @ SY378 ) )
| ~ ! [SY379: set_a,SY380: set_a] : ( SV61 @ ( refine1198353288_RES_a @ SY379 ) @ ( refine1198353288_RES_a @ SY380 ) )
| ( SV61 @ SV126 @ SV172 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[725]) ).
thf(809,plain,
! [SV127: a > $o,SV62: a > $o] :
( ( ~ ( ( ord_less_eq_set_a @ ( collect_a @ SV62 ) @ ( collect_a @ SV127 ) )
| ! [SY514: a] :
( ~ ( SV62 @ SY514 )
| ( SV127 @ SY514 ) ) )
| ~ ( ~ ( ord_less_eq_set_a @ ( collect_a @ SV62 ) @ ( collect_a @ SV127 ) )
| ~ ! [SY514: a] :
( ~ ( SV62 @ SY514 )
| ( SV127 @ SY514 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[726]) ).
thf(810,plain,
! [SV127: a > $o,SV62: a > $o] :
( ( ( ord_less_eq_set_a @ ( collect_a @ SV62 ) @ ( collect_a @ SV127 ) )
= ( ! [SY514: a] :
( ~ ( SV62 @ SY514 )
| ( SV127 @ SY514 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[726]) ).
thf(811,plain,
! [SV63: refine432681134nres_b] :
( ( ( ord_le527798542nres_b @ top_to240090974nres_b @ SV63 )
= $false )
| ( ( SV63 = top_to240090974nres_b )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[727]) ).
thf(812,plain,
! [SV64: refine424419629nres_a] :
( ( ( SV64 != refine464223677AILi_a )
= $false )
| ( ( ~ ! [SY383: set_a] :
( SV64
!= ( refine1198353288_RES_a @ SY383 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[728]) ).
thf(813,plain,
! [SV173: refine432681134nres_b,SV128: refine432681134nres_b > refine424419629nres_a,SV65: refine424419629nres_a] :
( ( ! [SY594: refine432681134nres_b] :
( ( SV65
!= ( SV128 @ SV173 ) )
| ~ ( ord_le527798542nres_b @ SV173 @ SY594 )
| ~ ! [SY517: refine432681134nres_b,SY518: refine432681134nres_b] :
( ~ ( ord_le527798542nres_b @ SY517 @ SY518 )
| ( ord_le519537037nres_a @ ( SV128 @ SY517 ) @ ( SV128 @ SY518 ) ) )
| ( ord_le519537037nres_a @ SV65 @ ( SV128 @ SY594 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[729]) ).
thf(814,plain,
! [SV174: $o,SV129: $o > refine432681134nres_b,SV66: $o > refine432681134nres_b] :
( ( ~ ( ord_le1656162903nres_b @ SV66 @ SV129 )
| ( ord_le527798542nres_b @ ( SV66 @ SV174 ) @ ( SV129 @ SV174 ) ) )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[730]) ).
thf(815,plain,
! [SV129: $o > refine432681134nres_b,SV66: $o > refine432681134nres_b] :
( ( ~ ( ord_le1656162903nres_b @ SV66 @ SV129 )
| ( ord_le527798542nres_b @ ( SV66 @ $true ) @ ( SV129 @ $true ) ) )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[730]) ).
thf(816,plain,
! [SV129: $o > refine432681134nres_b,SV66: $o > refine432681134nres_b] :
( ( ~ ( ord_le1656162903nres_b @ SV66 @ SV129 )
| ( ord_le527798542nres_b @ ( SV66 @ $false ) @ ( SV129 @ $false ) ) )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[730]) ).
thf(817,plain,
! [SV175: b,SV130: refine432681134nres_b,SV67: refine432681134nres_b] :
( ( ~ ( ord_le527798542nres_b @ SV67 @ SV130 )
| ~ ( refine1001002028nres_b @ SV67 @ SV175 )
| ( refine1001002028nres_b @ SV130 @ SV175 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[731]) ).
thf(818,plain,
! [SV131: refine432681134nres_b] :
( ( ! [SV176: refine432681134nres_b] :
( ( SV131 = SV176 )
= ( ~ ( ~ ( ord_le527798542nres_b @ SV176 @ SV131 )
| ~ ( ord_le527798542nres_b @ SV131 @ SV176 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[732]) ).
thf(819,plain,
! [SV131: refine432681134nres_b] :
( ( ( ^ [SY521: refine432681134nres_b] : ( SV131 = SY521 ) )
= ( ^ [SY522: refine432681134nres_b] :
~ ( ~ ( ord_le527798542nres_b @ SY522 @ SV131 )
| ~ ( ord_le527798542nres_b @ SV131 @ SY522 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[732]) ).
thf(820,plain,
! [SV177: refine424419629nres_a > refine432681134nres_b,SV132: refine424419629nres_a,SV69: refine424419629nres_a] :
( ( ! [SY597: refine432681134nres_b] :
( ~ ( ord_le519537037nres_a @ SV69 @ SV132 )
| ~ ( ord_le527798542nres_b @ ( SV177 @ SV132 ) @ SY597 )
| ~ ! [SY598: refine424419629nres_a,SY599: refine424419629nres_a] :
( ~ ( ord_le519537037nres_a @ SY598 @ SY599 )
| ( ord_le527798542nres_b @ ( SV177 @ SY598 ) @ ( SV177 @ SY599 ) ) )
| ( ord_le527798542nres_b @ ( SV177 @ SV69 ) @ SY597 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[733]) ).
thf(821,plain,
! [SV178: refine432681134nres_b > $o,SV133: refine432681134nres_b,SV70: refine432681134nres_b > $o] :
( ( ~ ( SV70 @ SV133 )
| ~ ! [SY528: refine432681134nres_b] :
( ~ ( SV70 @ SY528 )
| ( ord_le527798542nres_b @ SY528 @ SV133 ) )
| ~ ! [SY601: refine432681134nres_b] :
( ~ ( SV70 @ SY601 )
| ~ ! [SY404: refine432681134nres_b] :
( ~ ( SV70 @ SY404 )
| ( ord_le527798542nres_b @ SY404 @ SY601 ) )
| ( SV178 @ SY601 ) )
| ( SV178 @ ( order_1722590613nres_b @ SV70 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[734]) ).
thf(822,plain,
! [SV134: refine432681134nres_b,SV71: refine432681134nres_b] :
( ( ( ~ ( ~ ( refine412683990fail_b @ SV71 )
| ( ord_le527798542nres_b @ SV134 @ SV71 ) ) )
= $true )
| ( ( ord_le527798542nres_b @ SV134 @ SV71 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[735]) ).
thf(823,plain,
! [SV179: refine424419629nres_a,SV135: refine424419629nres_a > refine432681134nres_b,SV72: refine432681134nres_b] :
( ( ! [SY603: refine424419629nres_a] :
( ( SV72
!= ( SV135 @ SV179 ) )
| ~ ( ord_le519537037nres_a @ SV179 @ SY603 )
| ~ ! [SY533: refine424419629nres_a,SY534: refine424419629nres_a] :
( ~ ( ord_le519537037nres_a @ SY533 @ SY534 )
| ( ord_le527798542nres_b @ ( SV135 @ SY533 ) @ ( SV135 @ SY534 ) ) )
| ( ord_le527798542nres_b @ SV72 @ ( SV135 @ SY603 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[736]) ).
thf(824,plain,
! [SV136: refine432681134nres_b,SV73: refine432681134nres_b] :
( ( ( ~ ( ord_le527798542nres_b @ SV73 @ SV136 ) )
= $true )
| ( ( ~ ( ord_le527798542nres_b @ SV136 @ SV73 )
| ( SV136 = SV73 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[737]) ).
thf(825,plain,
! [SV180: refine432681134nres_b > refine424419629nres_a,SV137: refine432681134nres_b,SV74: refine432681134nres_b] :
( ( ! [SY606: refine424419629nres_a] :
( ~ ( ord_le527798542nres_b @ SV74 @ SV137 )
| ~ ( ord_le519537037nres_a @ ( SV180 @ SV137 ) @ SY606 )
| ~ ! [SY607: refine432681134nres_b,SY608: refine432681134nres_b] :
( ~ ( ord_le527798542nres_b @ SY607 @ SY608 )
| ( ord_le519537037nres_a @ ( SV180 @ SY607 ) @ ( SV180 @ SY608 ) ) )
| ( ord_le519537037nres_a @ ( SV180 @ SV74 ) @ SY606 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[738]) ).
thf(826,plain,
! [SV138: refine432681134nres_b,SV75: refine432681134nres_b] :
( ( ( ~ ( ord_le527798542nres_b @ SV75 @ SV138 ) )
= $true )
| ( ( ~ ( ord_le527798542nres_b @ SV138 @ SV75 )
| ( SV75 = SV138 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[739]) ).
thf(827,plain,
! [SV139: $o > refine432681134nres_b] :
( ( ! [SV181: $o > refine432681134nres_b] :
( ( ord_le1656162903nres_b @ SV139 @ SV181 )
= ( ~ ( ~ ( ord_le527798542nres_b @ ( SV139 @ $false ) @ ( SV181 @ $false ) )
| ~ ( ord_le527798542nres_b @ ( SV139 @ $true ) @ ( SV181 @ $true ) ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[740]) ).
thf(828,plain,
! [SV139: $o > refine432681134nres_b] :
( ( ( ord_le1656162903nres_b @ SV139 )
= ( ^ [SY539: $o > refine432681134nres_b] :
~ ( ~ ( ord_le527798542nres_b @ ( SV139 @ $false ) @ ( SY539 @ $false ) )
| ~ ( ord_le527798542nres_b @ ( SV139 @ $true ) @ ( SY539 @ $true ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[740]) ).
thf(829,plain,
! [SV77: set_a,SV1: set_a] :
( ( ( ~ ( ( ( refine1198353288_RES_a @ SV1 )
= ( refine1198353288_RES_a @ SV77 ) )
| ( SV1 = SV77 ) ) )
= $true )
| ( ( ~ ( ( ( refine1198353288_RES_a @ SV1 )
!= ( refine1198353288_RES_a @ SV77 ) )
| ( SV1 != SV77 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[741]) ).
thf(830,plain,
! [SV78: set_a,SV2: set_a] :
( ( ( ~ ( ( ( refine1198353288_RES_a @ SV2 )
= ( refine1198353288_RES_a @ SV78 ) )
| ( SV2 = SV78 ) ) )
= $true )
| ( ( ~ ( ( ( refine1198353288_RES_a @ SV2 )
!= ( refine1198353288_RES_a @ SV78 ) )
| ( SV2 != SV78 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[743]) ).
thf(831,plain,
! [SV79: a,SV5: a > $o] :
( ( ( ~ ( ( refine1312857699nres_a @ ( refine1198353288_RES_a @ ( collect_a @ SV5 ) ) @ SV79 )
| ( SV5 @ SV79 ) ) )
= $true )
| ( ( ~ ( ~ ( refine1312857699nres_a @ ( refine1198353288_RES_a @ ( collect_a @ SV5 ) ) @ SV79 )
| ~ ( SV5 @ SV79 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[745]) ).
thf(832,plain,
! [SV80: a > $o,SV7: a] :
( ( ( ~ ( ( member_a @ SV7 @ ( collect_a @ SV80 ) )
| ( SV80 @ SV7 ) ) )
= $true )
| ( ( ~ ( ~ ( member_a @ SV7 @ ( collect_a @ SV80 ) )
| ~ ( SV80 @ SV7 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[747]) ).
thf(833,plain,
! [SV81: b,SV11: b] :
( ( ( ~ ( ( ord_le527798542nres_b @ ( refine2063221605TURN_b @ SV11 ) @ ( refine2063221605TURN_b @ SV81 ) )
| ( SV11 = SV81 ) ) )
= $true )
| ( ( ~ ( ~ ( ord_le527798542nres_b @ ( refine2063221605TURN_b @ SV11 ) @ ( refine2063221605TURN_b @ SV81 ) )
| ( SV11 != SV81 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[749]) ).
thf(834,plain,
! [SV14: refine432681134nres_b] :
( ( ( ( ord_le527798542nres_b @ top_to240090974nres_b @ SV14 )
| ( SV14 = top_to240090974nres_b ) )
= $false )
| ( ( ~ ( ~ ( ord_le527798542nres_b @ top_to240090974nres_b @ SV14 )
| ( SV14 != top_to240090974nres_b ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[751]) ).
thf(835,plain,
! [SV16: refine432681134nres_b] :
( ( ( ( ord_le527798542nres_b @ top_to240090974nres_b @ SV16 )
| ( SV16 = top_to240090974nres_b ) )
= $false )
| ( ( ~ ( ~ ( ord_le527798542nres_b @ top_to240090974nres_b @ SV16 )
| ( SV16 != top_to240090974nres_b ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[752]) ).
thf(836,plain,
! [SV18: $o] :
( ( ( ~ ( SV18
| $true ) )
= $true )
| ( ( ~ ( ~ SV18
| ~ $true ) )
= $true )
| ( ( SV18 = $false )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[753]) ).
thf(837,plain,
! [SV18: $o] :
( ( ( ~ ( SV18
| $false )
| ~ ( ~ SV18
| ~ $false ) )
= $true )
| ( ( SV18 = $true )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[754]) ).
thf(838,plain,
! [SV18: $o] :
( ( ( SV18 = $false )
= $true )
| ( ( SV18 = $true )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[754]) ).
thf(839,plain,
( ( ( ~ ( $true
| $true ) )
= $true )
| ( ( ~ ( ~ $true
| ~ $true ) )
= $true )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[755]) ).
thf(840,plain,
( ( ( ~ ( $true
| $false )
| ~ ( ~ $true
| ~ $false ) )
= $true )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[756]) ).
thf(841,plain,
( ( ( $true = $false )
= $true )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[756]) ).
thf(842,plain,
( ( ( ~ ( $false
| $true ) )
= $true )
| ( ( ~ ( ~ $false
| ~ $true ) )
= $true )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[757]) ).
thf(843,plain,
( ( ( ~ ( $false
| $false )
| ~ ( ~ $false
| ~ $false ) )
= $true )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[758]) ).
thf(844,plain,
( ( ( $false = $false )
= $true )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[758]) ).
thf(845,plain,
! [SV83: refine432681134nres_b,SV19: refine432681134nres_b] :
( ( ( ord_le527798542nres_b @ SV19 @ SV83 )
= $false )
| ( ( ( ord_le527798542nres_b @ SV83 @ SV19 )
= ( SV83 = SV19 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[759]) ).
thf(846,plain,
! [SV84: refine432681134nres_b,SV20: refine432681134nres_b > $o] :
( ( ( SV20 @ SV84 )
= $false )
| ( ( ~ ! [SY419: refine432681134nres_b] :
( ~ ( SV20 @ SY419 )
| ( ord_le527798542nres_b @ SY419 @ SV84 ) )
| ( ( order_1722590613nres_b @ SV20 )
= SV84 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[760]) ).
thf(847,plain,
! [SV182: refine432681134nres_b,SV140: refine432681134nres_b,SV85: refine432681134nres_b,SV21: $o] :
( ( ! [SY609: refine432681134nres_b] :
( ~ ( ~ SV21
| ( ord_le527798542nres_b @ SV85 @ SV140 ) )
| ~ ( ~ ~ SV21
| ( ord_le527798542nres_b @ SV182 @ SY609 ) )
| ( ord_le527798542nres_b @ ( if_Ref1732808808nres_b @ SV21 @ SV85 @ SV182 ) @ ( if_Ref1732808808nres_b @ SV21 @ SV140 @ SY609 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[761]) ).
thf(848,plain,
! [SV183: refine432681134nres_b,SV141: refine432681134nres_b,SV86: refine432681134nres_b] :
( ( ! [SY610: refine432681134nres_b] :
( ~ ( ~ $true
| ( ord_le527798542nres_b @ SV86 @ SV141 ) )
| ~ ( ~ ~ $true
| ( ord_le527798542nres_b @ SV183 @ SY610 ) )
| ( ord_le527798542nres_b @ ( if_Ref1732808808nres_b @ $true @ SV86 @ SV183 ) @ ( if_Ref1732808808nres_b @ $true @ SV141 @ SY610 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[762]) ).
thf(849,plain,
! [SV184: refine432681134nres_b,SV142: refine432681134nres_b,SV87: refine432681134nres_b] :
( ( ! [SY611: refine432681134nres_b] :
( ~ ( ~ $false
| ( ord_le527798542nres_b @ SV87 @ SV142 ) )
| ~ ( ~ ~ $false
| ( ord_le527798542nres_b @ SV184 @ SY611 ) )
| ( ord_le527798542nres_b @ ( if_Ref1732808808nres_b @ $false @ SV87 @ SV184 ) @ ( if_Ref1732808808nres_b @ $false @ SV142 @ SY611 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[763]) ).
thf(850,plain,
! [SV143: refine432681134nres_b,SV88: refine432681134nres_b,SV22: refine432681134nres_b] :
( ( ( ~ ( ord_le527798542nres_b @ SV22 @ SV88 ) )
= $true )
| ( ( ~ ( ord_le527798542nres_b @ SV143 @ SV22 )
| ( ord_le527798542nres_b @ SV143 @ SV88 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[764]) ).
thf(851,plain,
! [SV185: refine432681134nres_b,SV144: refine432681134nres_b,SV89: set_Product_prod_b_b,SV23: refine432681134nres_b] :
( ( ~ ( ord_le527798542nres_b @ SV23 @ ( refine122110613un_b_b @ SV89 @ SV144 ) )
| ~ ( ord_le527798542nres_b @ SV144 @ SV185 )
| ( ord_le527798542nres_b @ SV23 @ ( refine122110613un_b_b @ SV89 @ SV185 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[765]) ).
thf(852,plain,
! [SV90: refine432681134nres_b,SV24: refine432681134nres_b] :
( ( ( SV24 = SV90 )
= $false )
| ( ( ord_le527798542nres_b @ SV24 @ SV90 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[766]) ).
thf(853,plain,
! [SV91: refine432681134nres_b,SV25: refine432681134nres_b] :
( ( ( ord_le527798542nres_b @ SV25 @ SV91 )
= $false )
| ( ( ~ ( ord_le527798542nres_b @ SV91 @ SV25 )
| ( SV25 = SV91 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[767]) ).
thf(854,plain,
! [SV145: refine432681134nres_b,SV92: refine432681134nres_b,SV26: refine432681134nres_b] :
( ( ( SV26 != SV92 )
= $true )
| ( ( ~ ( ord_le527798542nres_b @ SV92 @ SV145 )
| ( ord_le527798542nres_b @ SV26 @ SV145 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[768]) ).
thf(855,plain,
! [SV93: refine424419629nres_a,SV27: refine424419629nres_a > $o] :
( ( ( SV27 @ refine464223677AILi_a )
= $false )
| ( ( ~ ! [SY275: set_a] : ( SV27 @ ( refine1198353288_RES_a @ SY275 ) )
| ( SV27 @ SV93 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[769]) ).
thf(856,plain,
! [SV146: $o,SV94: $o > refine432681134nres_b,SV28: $o > refine432681134nres_b] :
( ( ( ~ ( ord_le1656162903nres_b @ SV28 @ SV94 ) )
= $true )
| ( ( ord_le527798542nres_b @ ( SV28 @ SV146 ) @ ( SV94 @ SV146 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[770]) ).
thf(857,plain,
! [SV94: $o > refine432681134nres_b,SV28: $o > refine432681134nres_b] :
( ( ( ~ ( ord_le1656162903nres_b @ SV28 @ SV94 ) )
= $true )
| ( ( ord_le527798542nres_b @ ( SV28 @ $true ) @ ( SV94 @ $true ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[771]) ).
thf(858,plain,
! [SV94: $o > refine432681134nres_b,SV28: $o > refine432681134nres_b] :
( ( ( ~ ( ord_le1656162903nres_b @ SV28 @ SV94 ) )
= $true )
| ( ( ord_le527798542nres_b @ ( SV28 @ $false ) @ ( SV94 @ $false ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[772]) ).
thf(859,plain,
! [SV147: a > $o,SV95: a > $o,SV30: refine424419629nres_a] :
( ( ( ~ ( ord_le519537037nres_a @ SV30 @ ( refine1198353288_RES_a @ ( collect_a @ SV95 ) ) ) )
= $true )
| ( ( ~ ! [SY547: a] :
( ~ ( SV95 @ SY547 )
| ( SV147 @ SY547 ) )
| ( ord_le519537037nres_a @ SV30 @ ( refine1198353288_RES_a @ ( collect_a @ SV147 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[773]) ).
thf(860,plain,
! [SV148: refine424419629nres_a,SV96: refine424419629nres_a,SV31: refine424419629nres_a > refine424419629nres_a > $o] :
( ( ( ~ ! [SY283: refine424419629nres_a] : ( SV31 @ refine464223677AILi_a @ SY283 ) )
= $true )
| ( ( ~ ! [SY284: set_a] : ( SV31 @ ( refine1198353288_RES_a @ SY284 ) @ refine464223677AILi_a )
| ~ ! [SY285: set_a,SY286: set_a] : ( SV31 @ ( refine1198353288_RES_a @ SY285 ) @ ( refine1198353288_RES_a @ SY286 ) )
| ( SV31 @ SV96 @ SV148 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[774]) ).
thf(861,plain,
! [SV97: a > $o,SV32: a > $o] :
( ( ( ! [SY442: a] :
( ( SV32 @ SY442 )
= ( SV97 @ SY442 ) ) )
= $false )
| ( ( ( collect_a @ SV32 )
= ( collect_a @ SV97 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[775]) ).
thf(862,plain,
! [SV186: refine432681134nres_b,SV149: refine432681134nres_b,SV98: refine432681134nres_b,SV33: refine432681134nres_b] :
( ( ( SV33 != SV98 )
| ~ ( ord_le527798542nres_b @ SV98 @ SV149 )
| ( SV149 != SV186 )
| ( ord_le527798542nres_b @ SV33 @ SV186 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[776]) ).
thf(863,plain,
! [SV187: refine424419629nres_a,SV150: refine432681134nres_b > refine424419629nres_a,SV99: refine432681134nres_b,SV34: refine432681134nres_b] :
( ( ~ ( ord_le527798542nres_b @ SV34 @ SV99 )
| ( ( SV150 @ SV99 )
!= SV187 )
| ~ ! [SY554: refine432681134nres_b,SY555: refine432681134nres_b] :
( ~ ( ord_le527798542nres_b @ SY554 @ SY555 )
| ( ord_le519537037nres_a @ ( SV150 @ SY554 ) @ ( SV150 @ SY555 ) ) )
| ( ord_le519537037nres_a @ ( SV150 @ SV34 ) @ SV187 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[777]) ).
thf(864,plain,
! [SV188: refine432681134nres_b,SV151: refine432681134nres_b > refine432681134nres_b,SV100: refine432681134nres_b,SV35: refine432681134nres_b] :
( ( ~ ( ord_le527798542nres_b @ SV35 @ SV100 )
| ( ( SV151 @ SV100 )
!= SV188 )
| ~ ! [SY557: refine432681134nres_b,SY558: refine432681134nres_b] :
( ~ ( ord_le527798542nres_b @ SY557 @ SY558 )
| ( ord_le527798542nres_b @ ( SV151 @ SY557 ) @ ( SV151 @ SY558 ) ) )
| ( ord_le527798542nres_b @ ( SV151 @ SV35 ) @ SV188 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[778]) ).
thf(865,plain,
! [SV152: refine432681134nres_b,SV101: refine432681134nres_b,SV36: refine432681134nres_b] :
( ( ( ~ ( ord_le527798542nres_b @ SV36 @ SV101 ) )
= $true )
| ( ( ~ ( ord_le527798542nres_b @ SV101 @ SV152 )
| ( ord_le527798542nres_b @ SV36 @ SV152 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[779]) ).
thf(866,plain,
! [SV189: refine432681134nres_b,SV153: refine432681134nres_b,SV102: refine432681134nres_b,SV37: $o] :
( ( ~ ( ~ SV37
| ( ord_le527798542nres_b @ SV102 @ SV153 ) )
| ~ ( ~ ~ SV37
| ( ord_le527798542nres_b @ SV189 @ SV153 ) )
| ( ord_le527798542nres_b @ ( if_Ref1732808808nres_b @ SV37 @ SV102 @ SV189 ) @ SV153 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[780]) ).
thf(867,plain,
! [SV190: refine432681134nres_b,SV154: refine432681134nres_b,SV103: refine432681134nres_b] :
( ( ~ ( ~ $true
| ( ord_le527798542nres_b @ SV103 @ SV154 ) )
| ~ ( ~ ~ $true
| ( ord_le527798542nres_b @ SV190 @ SV154 ) )
| ( ord_le527798542nres_b @ ( if_Ref1732808808nres_b @ $true @ SV103 @ SV190 ) @ SV154 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[781]) ).
thf(868,plain,
! [SV191: refine432681134nres_b,SV155: refine432681134nres_b,SV104: refine432681134nres_b] :
( ( ~ ( ~ $false
| ( ord_le527798542nres_b @ SV104 @ SV155 ) )
| ~ ( ~ ~ $false
| ( ord_le527798542nres_b @ SV191 @ SV155 ) )
| ( ord_le527798542nres_b @ ( if_Ref1732808808nres_b @ $false @ SV104 @ SV191 ) @ SV155 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[782]) ).
thf(869,plain,
! [SV156: refine424419629nres_a,SV105: refine424419629nres_a,SV38: refine424419629nres_a > refine424419629nres_a > $o] :
( ( ( ~ ! [SY309: refine424419629nres_a] : ( SV38 @ SY309 @ refine464223677AILi_a ) )
= $true )
| ( ( ~ ! [SY310: set_a,SY311: set_a] : ( SV38 @ ( refine1198353288_RES_a @ SY310 ) @ ( refine1198353288_RES_a @ SY311 ) )
| ~ ! [SY312: set_a] : ( SV38 @ refine464223677AILi_a @ ( refine1198353288_RES_a @ SY312 ) )
| ( SV38 @ SV105 @ SV156 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[783]) ).
thf(870,plain,
! [SV192: set_Product_prod_b_b,SV157: refine432681134nres_b,SV106: a,SV39: a > $o] :
( ( ! [SY616: a > refine432681134nres_b] :
( ~ ( SV39 @ SV106 )
| ~ ( ord_le527798542nres_b @ SV157 @ ( refine122110613un_b_b @ SV192 @ ( SY616 @ SV106 ) ) )
| ( ord_le527798542nres_b @ SV157 @ ( refine122110613un_b_b @ SV192 @ ( refine436832839nd_a_b @ ( refine1198353288_RES_a @ ( collect_a @ SV39 ) ) @ SY616 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[784]) ).
thf(871,plain,
! [SV193: refine432681134nres_b,SV158: refine432681134nres_b > refine432681134nres_b,SV107: refine432681134nres_b,SV40: refine432681134nres_b] :
( ( ~ ( ord_le527798542nres_b @ SV40 @ SV107 )
| ~ ( ord_le527798542nres_b @ ( SV158 @ SV107 ) @ SV193 )
| ~ ! [SY569: refine432681134nres_b,SY570: refine432681134nres_b] :
( ~ ( ord_le527798542nres_b @ SY569 @ SY570 )
| ( ord_le527798542nres_b @ ( SV158 @ SY569 ) @ ( SV158 @ SY570 ) ) )
| ( ord_le527798542nres_b @ ( SV158 @ SV40 ) @ SV193 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[785]) ).
thf(872,plain,
! [SV194: refine424419629nres_a,SV159: refine424419629nres_a,SV108: refine424419629nres_a > refine432681134nres_b,SV41: refine432681134nres_b] :
( ( ~ ( ord_le527798542nres_b @ SV41 @ ( SV108 @ SV159 ) )
| ~ ( ord_le519537037nres_a @ SV159 @ SV194 )
| ~ ! [SY474: refine424419629nres_a,SY475: refine424419629nres_a] :
( ~ ( ord_le519537037nres_a @ SY474 @ SY475 )
| ( ord_le527798542nres_b @ ( SV108 @ SY474 ) @ ( SV108 @ SY475 ) ) )
| ( ord_le527798542nres_b @ SV41 @ ( SV108 @ SV194 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[786]) ).
thf(873,plain,
! [SV109: refine432681134nres_b,SV42: refine432681134nres_b] :
( ( ( SV42 = top_to240090974nres_b )
= $false )
| ( ( ord_le527798542nres_b @ SV109 @ SV42 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[787]) ).
thf(874,plain,
! [SV195: refine432681134nres_b,SV160: set_Product_prod_b_b,SV110: refine432681134nres_b,SV43: refine432681134nres_b] :
( ( ~ ( ord_le527798542nres_b @ SV43 @ SV110 )
| ~ ( ord_le527798542nres_b @ ( refine1964549110un_b_b @ SV160 @ SV110 ) @ SV195 )
| ( ord_le527798542nres_b @ ( refine1964549110un_b_b @ SV160 @ SV43 ) @ SV195 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[788]) ).
thf(875,plain,
! [SV196: refine432681134nres_b,SV111: refine432681134nres_b] :
( ( ( SV111 = SV196 )
= ( ~ ( ~ ( ord_le527798542nres_b @ SV111 @ SV196 )
| ~ ( ord_le527798542nres_b @ SV196 @ SV111 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[789]) ).
thf(876,plain,
! [SV162: refine432681134nres_b,SV112: refine432681134nres_b,SV45: refine432681134nres_b] :
( ( ( ~ ( ord_le527798542nres_b @ SV45 @ SV112 ) )
= $true )
| ( ( ~ ( ord_le527798542nres_b @ SV112 @ SV162 )
| ( ord_le527798542nres_b @ SV45 @ SV162 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[791]) ).
thf(877,plain,
! [SV163: a > $o,SV113: refine424419629nres_a,SV46: refine424419629nres_a] :
( ( ( ~ ( ord_le519537037nres_a @ SV46 @ SV113 ) )
= $true )
| ( ( ~ ( ord_le519537037nres_a @ SV113 @ ( refine1198353288_RES_a @ ( collect_a @ SV163 ) ) )
| ( ord_le519537037nres_a @ SV46 @ ( refine1198353288_RES_a @ ( collect_a @ SV163 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[792]) ).
thf(878,plain,
! [SV114: refine432681134nres_b,SV47: refine432681134nres_b] :
( ( ( ord_le527798542nres_b @ SV47 @ SV114 )
= $false )
| ( ( ~ ( refine412683990fail_b @ SV114 )
| ( refine412683990fail_b @ SV47 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[793]) ).
thf(879,plain,
! [SV115: a > $o,SV48: a > $o] :
( ( ( ! [SY482: a] :
( ~ ( SV48 @ SY482 )
| ( SV115 @ SY482 ) ) )
= $false )
| ( ( ord_less_eq_set_a @ ( collect_a @ SV48 ) @ ( collect_a @ SV115 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[794]) ).
thf(880,plain,
! [SV197: refine432681134nres_b,SV164: refine432681134nres_b,SV116: refine432681134nres_b > refine424419629nres_a,SV49: refine424419629nres_a] :
( ( ~ ( ord_le519537037nres_a @ SV49 @ ( SV116 @ SV164 ) )
| ~ ( ord_le527798542nres_b @ SV164 @ SV197 )
| ~ ! [SY485: refine432681134nres_b,SY486: refine432681134nres_b] :
( ~ ( ord_le527798542nres_b @ SY485 @ SY486 )
| ( ord_le519537037nres_a @ ( SV116 @ SY485 ) @ ( SV116 @ SY486 ) ) )
| ( ord_le519537037nres_a @ SV49 @ ( SV116 @ SV197 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[795]) ).
thf(881,plain,
! [SV198: refine432681134nres_b,SV165: refine432681134nres_b,SV117: refine432681134nres_b > refine432681134nres_b,SV50: refine432681134nres_b] :
( ( ( SV50
!= ( SV117 @ SV165 ) )
| ~ ( ord_le527798542nres_b @ SV165 @ SV198 )
| ~ ! [SY489: refine432681134nres_b,SY490: refine432681134nres_b] :
( ~ ( ord_le527798542nres_b @ SY489 @ SY490 )
| ( ord_le527798542nres_b @ ( SV117 @ SY489 ) @ ( SV117 @ SY490 ) ) )
| ( ord_le527798542nres_b @ SV50 @ ( SV117 @ SV198 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[796]) ).
thf(882,plain,
! [SV199: a > refine432681134nres_b,SV166: refine432681134nres_b,SV118: set_a,SV51: a] :
( ( ~ ( member_a @ SV51 @ SV118 )
| ~ ( ord_le527798542nres_b @ SV166 @ ( SV199 @ SV51 ) )
| ( ord_le527798542nres_b @ SV166 @ ( refine436832839nd_a_b @ ( refine1198353288_RES_a @ SV118 ) @ SV199 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[797]) ).
thf(883,plain,
! [SV200: refine432681134nres_b,SV167: refine432681134nres_b,SV119: refine432681134nres_b,SV52: refine432681134nres_b] :
( ( ! [SY625: $o] :
( ~ ( ord_le527798542nres_b @ SV52 @ SV119 )
| ~ ( ord_le527798542nres_b @ SV167 @ SV200 )
| ( ord_le527798542nres_b @ ( if_Ref1732808808nres_b @ SY625 @ SV52 @ SV167 ) @ ( if_Ref1732808808nres_b @ SY625 @ SV119 @ SV200 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[798]) ).
thf(884,plain,
! [SV53: refine424419629nres_a] :
( ( ( SV53 = top_to231829469nres_a )
= $true )
| ( ( ~ ! [SY357: set_a] :
( SV53
!= ( refine1198353288_RES_a @ SY357 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[799]) ).
thf(885,plain,
! [SV201: refine432681134nres_b,SV120: refine432681134nres_b] :
( ( ( SV120 = SV201 )
= ( ~ ( ~ ( ord_le527798542nres_b @ SV120 @ SV201 )
| ~ ( ord_le527798542nres_b @ SV201 @ SV120 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[800]) ).
thf(886,plain,
! [SV169: refine432681134nres_b,SV121: refine432681134nres_b,SV55: refine432681134nres_b] :
( ( ( ~ ( ord_le527798542nres_b @ SV55 @ SV121 ) )
= $true )
| ( ( ( SV121 != SV169 )
| ( ord_le527798542nres_b @ SV55 @ SV169 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[802]) ).
thf(887,plain,
! [SV122: a > $o,SV56: a > $o] :
( ( ( ! [SY499: a] :
( ~ ( SV56 @ SY499 )
| ( SV122 @ SY499 ) ) )
= $false )
| ( ( ord_le519537037nres_a @ ( refine1198353288_RES_a @ ( collect_a @ SV56 ) ) @ ( refine1198353288_RES_a @ ( collect_a @ SV122 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[803]) ).
thf(888,plain,
! [SV123: refine424419629nres_a] :
( ( ( ~ ( ( refine412683989fail_a @ SV123 )
| ~ ! [SY500: set_a] :
( SV123
!= ( refine1198353288_RES_a @ SY500 ) ) ) )
= $true )
| ( ( ~ ( ~ ( refine412683989fail_a @ SV123 )
| ~ ~ ! [SY500: set_a] :
( SV123
!= ( refine1198353288_RES_a @ SY500 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[804]) ).
thf(889,plain,
! [SV202: refine432681134nres_b,SV170: refine424419629nres_a > refine432681134nres_b,SV124: refine424419629nres_a,SV59: refine424419629nres_a] :
( ( ~ ( ord_le519537037nres_a @ SV59 @ SV124 )
| ( ( SV170 @ SV124 )
!= SV202 )
| ~ ! [SY585: refine424419629nres_a,SY586: refine424419629nres_a] :
( ~ ( ord_le519537037nres_a @ SY585 @ SY586 )
| ( ord_le527798542nres_b @ ( SV170 @ SY585 ) @ ( SV170 @ SY586 ) ) )
| ( ord_le527798542nres_b @ ( SV170 @ SV59 ) @ SV202 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[806]) ).
thf(890,plain,
! [SV203: refine432681134nres_b,SV171: refine432681134nres_b,SV125: refine432681134nres_b > refine432681134nres_b,SV60: refine432681134nres_b] :
( ( ~ ( ord_le527798542nres_b @ SV60 @ ( SV125 @ SV171 ) )
| ~ ( ord_le527798542nres_b @ SV171 @ SV203 )
| ~ ! [SY507: refine432681134nres_b,SY508: refine432681134nres_b] :
( ~ ( ord_le527798542nres_b @ SY507 @ SY508 )
| ( ord_le527798542nres_b @ ( SV125 @ SY507 ) @ ( SV125 @ SY508 ) ) )
| ( ord_le527798542nres_b @ SV60 @ ( SV125 @ SV203 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[807]) ).
thf(891,plain,
! [SV172: refine424419629nres_a,SV126: refine424419629nres_a,SV61: refine424419629nres_a > refine424419629nres_a > $o] :
( ( ( ~ ! [SY377: refine424419629nres_a] : ( SV61 @ SY377 @ refine464223677AILi_a ) )
= $true )
| ( ( ~ ! [SY378: set_a] : ( SV61 @ refine464223677AILi_a @ ( refine1198353288_RES_a @ SY378 ) )
| ~ ! [SY379: set_a,SY380: set_a] : ( SV61 @ ( refine1198353288_RES_a @ SY379 ) @ ( refine1198353288_RES_a @ SY380 ) )
| ( SV61 @ SV126 @ SV172 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[808]) ).
thf(892,plain,
! [SV127: a > $o,SV62: a > $o] :
( ( ( ~ ( ( ord_less_eq_set_a @ ( collect_a @ SV62 ) @ ( collect_a @ SV127 ) )
| ! [SY514: a] :
( ~ ( SV62 @ SY514 )
| ( SV127 @ SY514 ) ) ) )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ ( collect_a @ SV62 ) @ ( collect_a @ SV127 ) )
| ~ ! [SY514: a] :
( ~ ( SV62 @ SY514 )
| ( SV127 @ SY514 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[809]) ).
thf(893,plain,
! [SV64: refine424419629nres_a] :
( ( ( SV64 = refine464223677AILi_a )
= $true )
| ( ( ~ ! [SY383: set_a] :
( SV64
!= ( refine1198353288_RES_a @ SY383 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[812]) ).
thf(894,plain,
! [SV204: refine432681134nres_b,SV173: refine432681134nres_b,SV128: refine432681134nres_b > refine424419629nres_a,SV65: refine424419629nres_a] :
( ( ( SV65
!= ( SV128 @ SV173 ) )
| ~ ( ord_le527798542nres_b @ SV173 @ SV204 )
| ~ ! [SY517: refine432681134nres_b,SY518: refine432681134nres_b] :
( ~ ( ord_le527798542nres_b @ SY517 @ SY518 )
| ( ord_le519537037nres_a @ ( SV128 @ SY517 ) @ ( SV128 @ SY518 ) ) )
| ( ord_le519537037nres_a @ SV65 @ ( SV128 @ SV204 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[813]) ).
thf(895,plain,
! [SV174: $o,SV129: $o > refine432681134nres_b,SV66: $o > refine432681134nres_b] :
( ( ( ~ ( ord_le1656162903nres_b @ SV66 @ SV129 ) )
= $true )
| ( ( ord_le527798542nres_b @ ( SV66 @ SV174 ) @ ( SV129 @ SV174 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[814]) ).
thf(896,plain,
! [SV129: $o > refine432681134nres_b,SV66: $o > refine432681134nres_b] :
( ( ( ~ ( ord_le1656162903nres_b @ SV66 @ SV129 ) )
= $true )
| ( ( ord_le527798542nres_b @ ( SV66 @ $true ) @ ( SV129 @ $true ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[815]) ).
thf(897,plain,
! [SV129: $o > refine432681134nres_b,SV66: $o > refine432681134nres_b] :
( ( ( ~ ( ord_le1656162903nres_b @ SV66 @ SV129 ) )
= $true )
| ( ( ord_le527798542nres_b @ ( SV66 @ $false ) @ ( SV129 @ $false ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[816]) ).
thf(898,plain,
! [SV175: b,SV130: refine432681134nres_b,SV67: refine432681134nres_b] :
( ( ( ~ ( ord_le527798542nres_b @ SV67 @ SV130 ) )
= $true )
| ( ( ~ ( refine1001002028nres_b @ SV67 @ SV175 )
| ( refine1001002028nres_b @ SV130 @ SV175 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[817]) ).
thf(899,plain,
! [SV205: refine432681134nres_b,SV131: refine432681134nres_b] :
( ( ( SV131 = SV205 )
= ( ~ ( ~ ( ord_le527798542nres_b @ SV205 @ SV131 )
| ~ ( ord_le527798542nres_b @ SV131 @ SV205 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[818]) ).
thf(900,plain,
! [SV206: refine432681134nres_b,SV177: refine424419629nres_a > refine432681134nres_b,SV132: refine424419629nres_a,SV69: refine424419629nres_a] :
( ( ~ ( ord_le519537037nres_a @ SV69 @ SV132 )
| ~ ( ord_le527798542nres_b @ ( SV177 @ SV132 ) @ SV206 )
| ~ ! [SY598: refine424419629nres_a,SY599: refine424419629nres_a] :
( ~ ( ord_le519537037nres_a @ SY598 @ SY599 )
| ( ord_le527798542nres_b @ ( SV177 @ SY598 ) @ ( SV177 @ SY599 ) ) )
| ( ord_le527798542nres_b @ ( SV177 @ SV69 ) @ SV206 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[820]) ).
thf(901,plain,
! [SV178: refine432681134nres_b > $o,SV133: refine432681134nres_b,SV70: refine432681134nres_b > $o] :
( ( ( ~ ( SV70 @ SV133 ) )
= $true )
| ( ( ~ ! [SY528: refine432681134nres_b] :
( ~ ( SV70 @ SY528 )
| ( ord_le527798542nres_b @ SY528 @ SV133 ) )
| ~ ! [SY601: refine432681134nres_b] :
( ~ ( SV70 @ SY601 )
| ~ ! [SY404: refine432681134nres_b] :
( ~ ( SV70 @ SY404 )
| ( ord_le527798542nres_b @ SY404 @ SY601 ) )
| ( SV178 @ SY601 ) )
| ( SV178 @ ( order_1722590613nres_b @ SV70 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[821]) ).
thf(902,plain,
! [SV134: refine432681134nres_b,SV71: refine432681134nres_b] :
( ( ( ~ ( refine412683990fail_b @ SV71 )
| ( ord_le527798542nres_b @ SV134 @ SV71 ) )
= $false )
| ( ( ord_le527798542nres_b @ SV134 @ SV71 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[822]) ).
thf(903,plain,
! [SV207: refine424419629nres_a,SV179: refine424419629nres_a,SV135: refine424419629nres_a > refine432681134nres_b,SV72: refine432681134nres_b] :
( ( ( SV72
!= ( SV135 @ SV179 ) )
| ~ ( ord_le519537037nres_a @ SV179 @ SV207 )
| ~ ! [SY533: refine424419629nres_a,SY534: refine424419629nres_a] :
( ~ ( ord_le519537037nres_a @ SY533 @ SY534 )
| ( ord_le527798542nres_b @ ( SV135 @ SY533 ) @ ( SV135 @ SY534 ) ) )
| ( ord_le527798542nres_b @ SV72 @ ( SV135 @ SV207 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[823]) ).
thf(904,plain,
! [SV136: refine432681134nres_b,SV73: refine432681134nres_b] :
( ( ( ord_le527798542nres_b @ SV73 @ SV136 )
= $false )
| ( ( ~ ( ord_le527798542nres_b @ SV136 @ SV73 )
| ( SV136 = SV73 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[824]) ).
thf(905,plain,
! [SV208: refine424419629nres_a,SV180: refine432681134nres_b > refine424419629nres_a,SV137: refine432681134nres_b,SV74: refine432681134nres_b] :
( ( ~ ( ord_le527798542nres_b @ SV74 @ SV137 )
| ~ ( ord_le519537037nres_a @ ( SV180 @ SV137 ) @ SV208 )
| ~ ! [SY607: refine432681134nres_b,SY608: refine432681134nres_b] :
( ~ ( ord_le527798542nres_b @ SY607 @ SY608 )
| ( ord_le519537037nres_a @ ( SV180 @ SY607 ) @ ( SV180 @ SY608 ) ) )
| ( ord_le519537037nres_a @ ( SV180 @ SV74 ) @ SV208 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[825]) ).
thf(906,plain,
! [SV138: refine432681134nres_b,SV75: refine432681134nres_b] :
( ( ( ord_le527798542nres_b @ SV75 @ SV138 )
= $false )
| ( ( ~ ( ord_le527798542nres_b @ SV138 @ SV75 )
| ( SV75 = SV138 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[826]) ).
thf(907,plain,
! [SV209: $o > refine432681134nres_b,SV139: $o > refine432681134nres_b] :
( ( ( ord_le1656162903nres_b @ SV139 @ SV209 )
= ( ~ ( ~ ( ord_le527798542nres_b @ ( SV139 @ $false ) @ ( SV209 @ $false ) )
| ~ ( ord_le527798542nres_b @ ( SV139 @ $true ) @ ( SV209 @ $true ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[827]) ).
thf(908,plain,
! [SV77: set_a,SV1: set_a] :
( ( ( ( ( refine1198353288_RES_a @ SV1 )
= ( refine1198353288_RES_a @ SV77 ) )
| ( SV1 = SV77 ) )
= $false )
| ( ( ~ ( ( ( refine1198353288_RES_a @ SV1 )
!= ( refine1198353288_RES_a @ SV77 ) )
| ( SV1 != SV77 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[829]) ).
thf(909,plain,
! [SV78: set_a,SV2: set_a] :
( ( ( ( ( refine1198353288_RES_a @ SV2 )
= ( refine1198353288_RES_a @ SV78 ) )
| ( SV2 = SV78 ) )
= $false )
| ( ( ~ ( ( ( refine1198353288_RES_a @ SV2 )
!= ( refine1198353288_RES_a @ SV78 ) )
| ( SV2 != SV78 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[830]) ).
thf(910,plain,
! [SV79: a,SV5: a > $o] :
( ( ( ( refine1312857699nres_a @ ( refine1198353288_RES_a @ ( collect_a @ SV5 ) ) @ SV79 )
| ( SV5 @ SV79 ) )
= $false )
| ( ( ~ ( ~ ( refine1312857699nres_a @ ( refine1198353288_RES_a @ ( collect_a @ SV5 ) ) @ SV79 )
| ~ ( SV5 @ SV79 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[831]) ).
thf(911,plain,
! [SV80: a > $o,SV7: a] :
( ( ( ( member_a @ SV7 @ ( collect_a @ SV80 ) )
| ( SV80 @ SV7 ) )
= $false )
| ( ( ~ ( ~ ( member_a @ SV7 @ ( collect_a @ SV80 ) )
| ~ ( SV80 @ SV7 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[832]) ).
thf(912,plain,
! [SV81: b,SV11: b] :
( ( ( ( ord_le527798542nres_b @ ( refine2063221605TURN_b @ SV11 ) @ ( refine2063221605TURN_b @ SV81 ) )
| ( SV11 = SV81 ) )
= $false )
| ( ( ~ ( ~ ( ord_le527798542nres_b @ ( refine2063221605TURN_b @ SV11 ) @ ( refine2063221605TURN_b @ SV81 ) )
| ( SV11 != SV81 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[833]) ).
thf(913,plain,
! [SV14: refine432681134nres_b] :
( ( ( ord_le527798542nres_b @ top_to240090974nres_b @ SV14 )
= $false )
| ( ( ~ ( ~ ( ord_le527798542nres_b @ top_to240090974nres_b @ SV14 )
| ( SV14 != top_to240090974nres_b ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[834]) ).
thf(914,plain,
! [SV14: refine432681134nres_b] :
( ( ( SV14 = top_to240090974nres_b )
= $false )
| ( ( ~ ( ~ ( ord_le527798542nres_b @ top_to240090974nres_b @ SV14 )
| ( SV14 != top_to240090974nres_b ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[834]) ).
thf(915,plain,
! [SV16: refine432681134nres_b] :
( ( ( ord_le527798542nres_b @ top_to240090974nres_b @ SV16 )
= $false )
| ( ( ~ ( ~ ( ord_le527798542nres_b @ top_to240090974nres_b @ SV16 )
| ( SV16 != top_to240090974nres_b ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[835]) ).
thf(916,plain,
! [SV16: refine432681134nres_b] :
( ( ( SV16 = top_to240090974nres_b )
= $false )
| ( ( ~ ( ~ ( ord_le527798542nres_b @ top_to240090974nres_b @ SV16 )
| ( SV16 != top_to240090974nres_b ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[835]) ).
thf(917,plain,
! [SV18: $o] :
( ( ( SV18
| $true )
= $false )
| ( ( ~ ( ~ SV18
| ~ $true ) )
= $true )
| ( ( SV18 = $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[836]) ).
thf(918,plain,
! [SV18: $o] :
( ( ( ~ ( SV18
| $false ) )
= $true )
| ( ( ~ ( ~ SV18
| ~ $false ) )
= $true )
| ( ( SV18 = $true )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[837]) ).
thf(919,plain,
( ( ( $true
| $true )
= $false )
| ( ( ~ ( ~ $true
| ~ $true ) )
= $true )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[839]) ).
thf(920,plain,
( ( ( ~ ( $true
| $false ) )
= $true )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[840]) ).
thf(921,plain,
( ( ( $false
| $true )
= $false )
| ( ( ~ ( ~ $false
| ~ $true ) )
= $true )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[842]) ).
thf(922,plain,
( ( ( ~ ( $false
| $false ) )
= $true )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[843]) ).
thf(923,plain,
! [SV19: refine432681134nres_b,SV83: refine432681134nres_b] :
( ( ( ~ ( ( ord_le527798542nres_b @ SV83 @ SV19 )
| ( SV83 = SV19 ) )
| ~ ( ~ ( ord_le527798542nres_b @ SV83 @ SV19 )
| ( SV83 != SV19 ) ) )
= $true )
| ( ( ord_le527798542nres_b @ SV19 @ SV83 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[845]) ).
thf(924,plain,
! [SV19: refine432681134nres_b,SV83: refine432681134nres_b] :
( ( ( ( ord_le527798542nres_b @ SV83 @ SV19 )
= ( SV83 = SV19 ) )
= $true )
| ( ( ord_le527798542nres_b @ SV19 @ SV83 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[845]) ).
thf(925,plain,
! [SV84: refine432681134nres_b,SV20: refine432681134nres_b > $o] :
( ( ( ~ ! [SY419: refine432681134nres_b] :
( ~ ( SV20 @ SY419 )
| ( ord_le527798542nres_b @ SY419 @ SV84 ) ) )
= $true )
| ( ( ( order_1722590613nres_b @ SV20 )
= SV84 )
= $true )
| ( ( SV20 @ SV84 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[846]) ).
thf(926,plain,
! [SV210: refine432681134nres_b,SV182: refine432681134nres_b,SV140: refine432681134nres_b,SV85: refine432681134nres_b,SV21: $o] :
( ( ~ ( ~ SV21
| ( ord_le527798542nres_b @ SV85 @ SV140 ) )
| ~ ( ~ ~ SV21
| ( ord_le527798542nres_b @ SV182 @ SV210 ) )
| ( ord_le527798542nres_b @ ( if_Ref1732808808nres_b @ SV21 @ SV85 @ SV182 ) @ ( if_Ref1732808808nres_b @ SV21 @ SV140 @ SV210 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[847]) ).
thf(927,plain,
! [SV211: refine432681134nres_b,SV183: refine432681134nres_b,SV141: refine432681134nres_b,SV86: refine432681134nres_b] :
( ( ~ ( ~ $true
| ( ord_le527798542nres_b @ SV86 @ SV141 ) )
| ~ ( ~ ~ $true
| ( ord_le527798542nres_b @ SV183 @ SV211 ) )
| ( ord_le527798542nres_b @ ( if_Ref1732808808nres_b @ $true @ SV86 @ SV183 ) @ ( if_Ref1732808808nres_b @ $true @ SV141 @ SV211 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[848]) ).
thf(928,plain,
! [SV212: refine432681134nres_b,SV184: refine432681134nres_b,SV142: refine432681134nres_b,SV87: refine432681134nres_b] :
( ( ~ ( ~ $false
| ( ord_le527798542nres_b @ SV87 @ SV142 ) )
| ~ ( ~ ~ $false
| ( ord_le527798542nres_b @ SV184 @ SV212 ) )
| ( ord_le527798542nres_b @ ( if_Ref1732808808nres_b @ $false @ SV87 @ SV184 ) @ ( if_Ref1732808808nres_b @ $false @ SV142 @ SV212 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[849]) ).
thf(929,plain,
! [SV143: refine432681134nres_b,SV88: refine432681134nres_b,SV22: refine432681134nres_b] :
( ( ( ord_le527798542nres_b @ SV22 @ SV88 )
= $false )
| ( ( ~ ( ord_le527798542nres_b @ SV143 @ SV22 )
| ( ord_le527798542nres_b @ SV143 @ SV88 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[850]) ).
thf(930,plain,
! [SV185: refine432681134nres_b,SV144: refine432681134nres_b,SV89: set_Product_prod_b_b,SV23: refine432681134nres_b] :
( ( ( ~ ( ord_le527798542nres_b @ SV23 @ ( refine122110613un_b_b @ SV89 @ SV144 ) ) )
= $true )
| ( ( ~ ( ord_le527798542nres_b @ SV144 @ SV185 )
| ( ord_le527798542nres_b @ SV23 @ ( refine122110613un_b_b @ SV89 @ SV185 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[851]) ).
thf(931,plain,
! [SV25: refine432681134nres_b,SV91: refine432681134nres_b] :
( ( ( ~ ( ord_le527798542nres_b @ SV91 @ SV25 ) )
= $true )
| ( ( SV25 = SV91 )
= $true )
| ( ( ord_le527798542nres_b @ SV25 @ SV91 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[853]) ).
thf(932,plain,
! [SV145: refine432681134nres_b,SV92: refine432681134nres_b,SV26: refine432681134nres_b] :
( ( ( SV26 = SV92 )
= $false )
| ( ( ~ ( ord_le527798542nres_b @ SV92 @ SV145 )
| ( ord_le527798542nres_b @ SV26 @ SV145 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[854]) ).
thf(933,plain,
! [SV93: refine424419629nres_a,SV27: refine424419629nres_a > $o] :
( ( ( ~ ! [SY275: set_a] : ( SV27 @ ( refine1198353288_RES_a @ SY275 ) ) )
= $true )
| ( ( SV27 @ SV93 )
= $true )
| ( ( SV27 @ refine464223677AILi_a )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[855]) ).
thf(934,plain,
! [SV146: $o,SV94: $o > refine432681134nres_b,SV28: $o > refine432681134nres_b] :
( ( ( ord_le1656162903nres_b @ SV28 @ SV94 )
= $false )
| ( ( ord_le527798542nres_b @ ( SV28 @ SV146 ) @ ( SV94 @ SV146 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[856]) ).
thf(935,plain,
! [SV94: $o > refine432681134nres_b,SV28: $o > refine432681134nres_b] :
( ( ( ord_le1656162903nres_b @ SV28 @ SV94 )
= $false )
| ( ( ord_le527798542nres_b @ ( SV28 @ $true ) @ ( SV94 @ $true ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[857]) ).
thf(936,plain,
! [SV94: $o > refine432681134nres_b,SV28: $o > refine432681134nres_b] :
( ( ( ord_le1656162903nres_b @ SV28 @ SV94 )
= $false )
| ( ( ord_le527798542nres_b @ ( SV28 @ $false ) @ ( SV94 @ $false ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[858]) ).
thf(937,plain,
! [SV147: a > $o,SV95: a > $o,SV30: refine424419629nres_a] :
( ( ( ord_le519537037nres_a @ SV30 @ ( refine1198353288_RES_a @ ( collect_a @ SV95 ) ) )
= $false )
| ( ( ~ ! [SY547: a] :
( ~ ( SV95 @ SY547 )
| ( SV147 @ SY547 ) )
| ( ord_le519537037nres_a @ SV30 @ ( refine1198353288_RES_a @ ( collect_a @ SV147 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[859]) ).
thf(938,plain,
! [SV148: refine424419629nres_a,SV96: refine424419629nres_a,SV31: refine424419629nres_a > refine424419629nres_a > $o] :
( ( ( ! [SY283: refine424419629nres_a] : ( SV31 @ refine464223677AILi_a @ SY283 ) )
= $false )
| ( ( ~ ! [SY284: set_a] : ( SV31 @ ( refine1198353288_RES_a @ SY284 ) @ refine464223677AILi_a )
| ~ ! [SY285: set_a,SY286: set_a] : ( SV31 @ ( refine1198353288_RES_a @ SY285 ) @ ( refine1198353288_RES_a @ SY286 ) )
| ( SV31 @ SV96 @ SV148 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[860]) ).
thf(939,plain,
! [SV97: a > $o,SV32: a > $o] :
( ( ( ( SV32 @ ( sK1_SY442 @ SV97 @ SV32 ) )
= ( SV97 @ ( sK1_SY442 @ SV97 @ SV32 ) ) )
= $false )
| ( ( ( collect_a @ SV32 )
= ( collect_a @ SV97 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[861]) ).
thf(940,plain,
! [SV186: refine432681134nres_b,SV149: refine432681134nres_b,SV98: refine432681134nres_b,SV33: refine432681134nres_b] :
( ( ( SV33 != SV98 )
= $true )
| ( ( ~ ( ord_le527798542nres_b @ SV98 @ SV149 )
| ( SV149 != SV186 )
| ( ord_le527798542nres_b @ SV33 @ SV186 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[862]) ).
thf(941,plain,
! [SV187: refine424419629nres_a,SV150: refine432681134nres_b > refine424419629nres_a,SV99: refine432681134nres_b,SV34: refine432681134nres_b] :
( ( ( ~ ( ord_le527798542nres_b @ SV34 @ SV99 ) )
= $true )
| ( ( ( ( SV150 @ SV99 )
!= SV187 )
| ~ ! [SY554: refine432681134nres_b,SY555: refine432681134nres_b] :
( ~ ( ord_le527798542nres_b @ SY554 @ SY555 )
| ( ord_le519537037nres_a @ ( SV150 @ SY554 ) @ ( SV150 @ SY555 ) ) )
| ( ord_le519537037nres_a @ ( SV150 @ SV34 ) @ SV187 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[863]) ).
thf(942,plain,
! [SV188: refine432681134nres_b,SV151: refine432681134nres_b > refine432681134nres_b,SV100: refine432681134nres_b,SV35: refine432681134nres_b] :
( ( ( ~ ( ord_le527798542nres_b @ SV35 @ SV100 ) )
= $true )
| ( ( ( ( SV151 @ SV100 )
!= SV188 )
| ~ ! [SY557: refine432681134nres_b,SY558: refine432681134nres_b] :
( ~ ( ord_le527798542nres_b @ SY557 @ SY558 )
| ( ord_le527798542nres_b @ ( SV151 @ SY557 ) @ ( SV151 @ SY558 ) ) )
| ( ord_le527798542nres_b @ ( SV151 @ SV35 ) @ SV188 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[864]) ).
thf(943,plain,
! [SV152: refine432681134nres_b,SV101: refine432681134nres_b,SV36: refine432681134nres_b] :
( ( ( ord_le527798542nres_b @ SV36 @ SV101 )
= $false )
| ( ( ~ ( ord_le527798542nres_b @ SV101 @ SV152 )
| ( ord_le527798542nres_b @ SV36 @ SV152 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[865]) ).
thf(944,plain,
! [SV189: refine432681134nres_b,SV153: refine432681134nres_b,SV102: refine432681134nres_b,SV37: $o] :
( ( ( ~ ( ~ SV37
| ( ord_le527798542nres_b @ SV102 @ SV153 ) ) )
= $true )
| ( ( ~ ( ~ ~ SV37
| ( ord_le527798542nres_b @ SV189 @ SV153 ) )
| ( ord_le527798542nres_b @ ( if_Ref1732808808nres_b @ SV37 @ SV102 @ SV189 ) @ SV153 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[866]) ).
thf(945,plain,
! [SV190: refine432681134nres_b,SV154: refine432681134nres_b,SV103: refine432681134nres_b] :
( ( ( ~ ( ~ $true
| ( ord_le527798542nres_b @ SV103 @ SV154 ) ) )
= $true )
| ( ( ~ ( ~ ~ $true
| ( ord_le527798542nres_b @ SV190 @ SV154 ) )
| ( ord_le527798542nres_b @ ( if_Ref1732808808nres_b @ $true @ SV103 @ SV190 ) @ SV154 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[867]) ).
thf(946,plain,
! [SV191: refine432681134nres_b,SV155: refine432681134nres_b,SV104: refine432681134nres_b] :
( ( ( ~ ( ~ $false
| ( ord_le527798542nres_b @ SV104 @ SV155 ) ) )
= $true )
| ( ( ~ ( ~ ~ $false
| ( ord_le527798542nres_b @ SV191 @ SV155 ) )
| ( ord_le527798542nres_b @ ( if_Ref1732808808nres_b @ $false @ SV104 @ SV191 ) @ SV155 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[868]) ).
thf(947,plain,
! [SV156: refine424419629nres_a,SV105: refine424419629nres_a,SV38: refine424419629nres_a > refine424419629nres_a > $o] :
( ( ( ! [SY309: refine424419629nres_a] : ( SV38 @ SY309 @ refine464223677AILi_a ) )
= $false )
| ( ( ~ ! [SY310: set_a,SY311: set_a] : ( SV38 @ ( refine1198353288_RES_a @ SY310 ) @ ( refine1198353288_RES_a @ SY311 ) )
| ~ ! [SY312: set_a] : ( SV38 @ refine464223677AILi_a @ ( refine1198353288_RES_a @ SY312 ) )
| ( SV38 @ SV105 @ SV156 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[869]) ).
thf(948,plain,
! [SV213: a > refine432681134nres_b,SV192: set_Product_prod_b_b,SV157: refine432681134nres_b,SV106: a,SV39: a > $o] :
( ( ~ ( SV39 @ SV106 )
| ~ ( ord_le527798542nres_b @ SV157 @ ( refine122110613un_b_b @ SV192 @ ( SV213 @ SV106 ) ) )
| ( ord_le527798542nres_b @ SV157 @ ( refine122110613un_b_b @ SV192 @ ( refine436832839nd_a_b @ ( refine1198353288_RES_a @ ( collect_a @ SV39 ) ) @ SV213 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[870]) ).
thf(949,plain,
! [SV193: refine432681134nres_b,SV158: refine432681134nres_b > refine432681134nres_b,SV107: refine432681134nres_b,SV40: refine432681134nres_b] :
( ( ( ~ ( ord_le527798542nres_b @ SV40 @ SV107 ) )
= $true )
| ( ( ~ ( ord_le527798542nres_b @ ( SV158 @ SV107 ) @ SV193 )
| ~ ! [SY569: refine432681134nres_b,SY570: refine432681134nres_b] :
( ~ ( ord_le527798542nres_b @ SY569 @ SY570 )
| ( ord_le527798542nres_b @ ( SV158 @ SY569 ) @ ( SV158 @ SY570 ) ) )
| ( ord_le527798542nres_b @ ( SV158 @ SV40 ) @ SV193 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[871]) ).
thf(950,plain,
! [SV194: refine424419629nres_a,SV159: refine424419629nres_a,SV108: refine424419629nres_a > refine432681134nres_b,SV41: refine432681134nres_b] :
( ( ( ~ ( ord_le527798542nres_b @ SV41 @ ( SV108 @ SV159 ) ) )
= $true )
| ( ( ~ ( ord_le519537037nres_a @ SV159 @ SV194 )
| ~ ! [SY474: refine424419629nres_a,SY475: refine424419629nres_a] :
( ~ ( ord_le519537037nres_a @ SY474 @ SY475 )
| ( ord_le527798542nres_b @ ( SV108 @ SY474 ) @ ( SV108 @ SY475 ) ) )
| ( ord_le527798542nres_b @ SV41 @ ( SV108 @ SV194 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[872]) ).
thf(951,plain,
! [SV195: refine432681134nres_b,SV160: set_Product_prod_b_b,SV110: refine432681134nres_b,SV43: refine432681134nres_b] :
( ( ( ~ ( ord_le527798542nres_b @ SV43 @ SV110 ) )
= $true )
| ( ( ~ ( ord_le527798542nres_b @ ( refine1964549110un_b_b @ SV160 @ SV110 ) @ SV195 )
| ( ord_le527798542nres_b @ ( refine1964549110un_b_b @ SV160 @ SV43 ) @ SV195 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[874]) ).
thf(952,plain,
! [SV196: refine432681134nres_b,SV111: refine432681134nres_b] :
( ( ~ ( ( SV111 = SV196 )
| ~ ( ~ ( ord_le527798542nres_b @ SV111 @ SV196 )
| ~ ( ord_le527798542nres_b @ SV196 @ SV111 ) ) )
| ~ ( ( SV111 != SV196 )
| ~ ~ ( ~ ( ord_le527798542nres_b @ SV111 @ SV196 )
| ~ ( ord_le527798542nres_b @ SV196 @ SV111 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[875]) ).
thf(953,plain,
! [SV196: refine432681134nres_b,SV111: refine432681134nres_b] :
( ( ( SV111 = SV196 )
= ( ~ ( ~ ( ord_le527798542nres_b @ SV111 @ SV196 )
| ~ ( ord_le527798542nres_b @ SV196 @ SV111 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[875]) ).
thf(954,plain,
! [SV162: refine432681134nres_b,SV112: refine432681134nres_b,SV45: refine432681134nres_b] :
( ( ( ord_le527798542nres_b @ SV45 @ SV112 )
= $false )
| ( ( ~ ( ord_le527798542nres_b @ SV112 @ SV162 )
| ( ord_le527798542nres_b @ SV45 @ SV162 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[876]) ).
thf(955,plain,
! [SV163: a > $o,SV113: refine424419629nres_a,SV46: refine424419629nres_a] :
( ( ( ord_le519537037nres_a @ SV46 @ SV113 )
= $false )
| ( ( ~ ( ord_le519537037nres_a @ SV113 @ ( refine1198353288_RES_a @ ( collect_a @ SV163 ) ) )
| ( ord_le519537037nres_a @ SV46 @ ( refine1198353288_RES_a @ ( collect_a @ SV163 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[877]) ).
thf(956,plain,
! [SV47: refine432681134nres_b,SV114: refine432681134nres_b] :
( ( ( ~ ( refine412683990fail_b @ SV114 ) )
= $true )
| ( ( refine412683990fail_b @ SV47 )
= $true )
| ( ( ord_le527798542nres_b @ SV47 @ SV114 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[878]) ).
thf(957,plain,
! [SV115: a > $o,SV48: a > $o] :
( ( ( ~ ( SV48 @ ( sK2_SY482 @ SV115 @ SV48 ) )
| ( SV115 @ ( sK2_SY482 @ SV115 @ SV48 ) ) )
= $false )
| ( ( ord_less_eq_set_a @ ( collect_a @ SV48 ) @ ( collect_a @ SV115 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[879]) ).
thf(958,plain,
! [SV197: refine432681134nres_b,SV164: refine432681134nres_b,SV116: refine432681134nres_b > refine424419629nres_a,SV49: refine424419629nres_a] :
( ( ( ~ ( ord_le519537037nres_a @ SV49 @ ( SV116 @ SV164 ) ) )
= $true )
| ( ( ~ ( ord_le527798542nres_b @ SV164 @ SV197 )
| ~ ! [SY485: refine432681134nres_b,SY486: refine432681134nres_b] :
( ~ ( ord_le527798542nres_b @ SY485 @ SY486 )
| ( ord_le519537037nres_a @ ( SV116 @ SY485 ) @ ( SV116 @ SY486 ) ) )
| ( ord_le519537037nres_a @ SV49 @ ( SV116 @ SV197 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[880]) ).
thf(959,plain,
! [SV198: refine432681134nres_b,SV165: refine432681134nres_b,SV117: refine432681134nres_b > refine432681134nres_b,SV50: refine432681134nres_b] :
( ( ( SV50
!= ( SV117 @ SV165 ) )
= $true )
| ( ( ~ ( ord_le527798542nres_b @ SV165 @ SV198 )
| ~ ! [SY489: refine432681134nres_b,SY490: refine432681134nres_b] :
( ~ ( ord_le527798542nres_b @ SY489 @ SY490 )
| ( ord_le527798542nres_b @ ( SV117 @ SY489 ) @ ( SV117 @ SY490 ) ) )
| ( ord_le527798542nres_b @ SV50 @ ( SV117 @ SV198 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[881]) ).
thf(960,plain,
! [SV199: a > refine432681134nres_b,SV166: refine432681134nres_b,SV118: set_a,SV51: a] :
( ( ( ~ ( member_a @ SV51 @ SV118 ) )
= $true )
| ( ( ~ ( ord_le527798542nres_b @ SV166 @ ( SV199 @ SV51 ) )
| ( ord_le527798542nres_b @ SV166 @ ( refine436832839nd_a_b @ ( refine1198353288_RES_a @ SV118 ) @ SV199 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[882]) ).
thf(961,plain,
! [SV214: $o,SV200: refine432681134nres_b,SV167: refine432681134nres_b,SV119: refine432681134nres_b,SV52: refine432681134nres_b] :
( ( ~ ( ord_le527798542nres_b @ SV52 @ SV119 )
| ~ ( ord_le527798542nres_b @ SV167 @ SV200 )
| ( ord_le527798542nres_b @ ( if_Ref1732808808nres_b @ SV214 @ SV52 @ SV167 ) @ ( if_Ref1732808808nres_b @ SV214 @ SV119 @ SV200 ) ) )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[883]) ).
thf(962,plain,
! [SV200: refine432681134nres_b,SV167: refine432681134nres_b,SV119: refine432681134nres_b,SV52: refine432681134nres_b] :
( ( ~ ( ord_le527798542nres_b @ SV52 @ SV119 )
| ~ ( ord_le527798542nres_b @ SV167 @ SV200 )
| ( ord_le527798542nres_b @ ( if_Ref1732808808nres_b @ $true @ SV52 @ SV167 ) @ ( if_Ref1732808808nres_b @ $true @ SV119 @ SV200 ) ) )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[883]) ).
thf(963,plain,
! [SV200: refine432681134nres_b,SV167: refine432681134nres_b,SV119: refine432681134nres_b,SV52: refine432681134nres_b] :
( ( ~ ( ord_le527798542nres_b @ SV52 @ SV119 )
| ~ ( ord_le527798542nres_b @ SV167 @ SV200 )
| ( ord_le527798542nres_b @ ( if_Ref1732808808nres_b @ $false @ SV52 @ SV167 ) @ ( if_Ref1732808808nres_b @ $false @ SV119 @ SV200 ) ) )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[883]) ).
thf(964,plain,
! [SV53: refine424419629nres_a] :
( ( ( ! [SY357: set_a] :
( SV53
!= ( refine1198353288_RES_a @ SY357 ) ) )
= $false )
| ( ( SV53 = top_to231829469nres_a )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[884]) ).
thf(965,plain,
! [SV201: refine432681134nres_b,SV120: refine432681134nres_b] :
( ( ~ ( ( SV120 = SV201 )
| ~ ( ~ ( ord_le527798542nres_b @ SV120 @ SV201 )
| ~ ( ord_le527798542nres_b @ SV201 @ SV120 ) ) )
| ~ ( ( SV120 != SV201 )
| ~ ~ ( ~ ( ord_le527798542nres_b @ SV120 @ SV201 )
| ~ ( ord_le527798542nres_b @ SV201 @ SV120 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[885]) ).
thf(966,plain,
! [SV201: refine432681134nres_b,SV120: refine432681134nres_b] :
( ( ( SV120 = SV201 )
= ( ~ ( ~ ( ord_le527798542nres_b @ SV120 @ SV201 )
| ~ ( ord_le527798542nres_b @ SV201 @ SV120 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[885]) ).
thf(967,plain,
! [SV169: refine432681134nres_b,SV121: refine432681134nres_b,SV55: refine432681134nres_b] :
( ( ( ord_le527798542nres_b @ SV55 @ SV121 )
= $false )
| ( ( ( SV121 != SV169 )
| ( ord_le527798542nres_b @ SV55 @ SV169 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[886]) ).
thf(968,plain,
! [SV122: a > $o,SV56: a > $o] :
( ( ( ~ ( SV56 @ ( sK3_SY499 @ SV122 @ SV56 ) )
| ( SV122 @ ( sK3_SY499 @ SV122 @ SV56 ) ) )
= $false )
| ( ( ord_le519537037nres_a @ ( refine1198353288_RES_a @ ( collect_a @ SV56 ) ) @ ( refine1198353288_RES_a @ ( collect_a @ SV122 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[887]) ).
thf(969,plain,
! [SV123: refine424419629nres_a] :
( ( ( ( refine412683989fail_a @ SV123 )
| ~ ! [SY500: set_a] :
( SV123
!= ( refine1198353288_RES_a @ SY500 ) ) )
= $false )
| ( ( ~ ( ~ ( refine412683989fail_a @ SV123 )
| ~ ~ ! [SY500: set_a] :
( SV123
!= ( refine1198353288_RES_a @ SY500 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[888]) ).
thf(970,plain,
! [SV202: refine432681134nres_b,SV170: refine424419629nres_a > refine432681134nres_b,SV124: refine424419629nres_a,SV59: refine424419629nres_a] :
( ( ( ~ ( ord_le519537037nres_a @ SV59 @ SV124 ) )
= $true )
| ( ( ( ( SV170 @ SV124 )
!= SV202 )
| ~ ! [SY585: refine424419629nres_a,SY586: refine424419629nres_a] :
( ~ ( ord_le519537037nres_a @ SY585 @ SY586 )
| ( ord_le527798542nres_b @ ( SV170 @ SY585 ) @ ( SV170 @ SY586 ) ) )
| ( ord_le527798542nres_b @ ( SV170 @ SV59 ) @ SV202 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[889]) ).
thf(971,plain,
! [SV203: refine432681134nres_b,SV171: refine432681134nres_b,SV125: refine432681134nres_b > refine432681134nres_b,SV60: refine432681134nres_b] :
( ( ( ~ ( ord_le527798542nres_b @ SV60 @ ( SV125 @ SV171 ) ) )
= $true )
| ( ( ~ ( ord_le527798542nres_b @ SV171 @ SV203 )
| ~ ! [SY507: refine432681134nres_b,SY508: refine432681134nres_b] :
( ~ ( ord_le527798542nres_b @ SY507 @ SY508 )
| ( ord_le527798542nres_b @ ( SV125 @ SY507 ) @ ( SV125 @ SY508 ) ) )
| ( ord_le527798542nres_b @ SV60 @ ( SV125 @ SV203 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[890]) ).
thf(972,plain,
! [SV172: refine424419629nres_a,SV126: refine424419629nres_a,SV61: refine424419629nres_a > refine424419629nres_a > $o] :
( ( ( ! [SY377: refine424419629nres_a] : ( SV61 @ SY377 @ refine464223677AILi_a ) )
= $false )
| ( ( ~ ! [SY378: set_a] : ( SV61 @ refine464223677AILi_a @ ( refine1198353288_RES_a @ SY378 ) )
| ~ ! [SY379: set_a,SY380: set_a] : ( SV61 @ ( refine1198353288_RES_a @ SY379 ) @ ( refine1198353288_RES_a @ SY380 ) )
| ( SV61 @ SV126 @ SV172 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[891]) ).
thf(973,plain,
! [SV127: a > $o,SV62: a > $o] :
( ( ( ( ord_less_eq_set_a @ ( collect_a @ SV62 ) @ ( collect_a @ SV127 ) )
| ! [SY514: a] :
( ~ ( SV62 @ SY514 )
| ( SV127 @ SY514 ) ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ ( collect_a @ SV62 ) @ ( collect_a @ SV127 ) )
| ~ ! [SY514: a] :
( ~ ( SV62 @ SY514 )
| ( SV127 @ SY514 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[892]) ).
thf(974,plain,
! [SV64: refine424419629nres_a] :
( ( ( ! [SY383: set_a] :
( SV64
!= ( refine1198353288_RES_a @ SY383 ) ) )
= $false )
| ( ( SV64 = refine464223677AILi_a )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[893]) ).
thf(975,plain,
! [SV204: refine432681134nres_b,SV173: refine432681134nres_b,SV128: refine432681134nres_b > refine424419629nres_a,SV65: refine424419629nres_a] :
( ( ( SV65
!= ( SV128 @ SV173 ) )
= $true )
| ( ( ~ ( ord_le527798542nres_b @ SV173 @ SV204 )
| ~ ! [SY517: refine432681134nres_b,SY518: refine432681134nres_b] :
( ~ ( ord_le527798542nres_b @ SY517 @ SY518 )
| ( ord_le519537037nres_a @ ( SV128 @ SY517 ) @ ( SV128 @ SY518 ) ) )
| ( ord_le519537037nres_a @ SV65 @ ( SV128 @ SV204 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[894]) ).
thf(976,plain,
! [SV174: $o,SV129: $o > refine432681134nres_b,SV66: $o > refine432681134nres_b] :
( ( ( ord_le1656162903nres_b @ SV66 @ SV129 )
= $false )
| ( ( ord_le527798542nres_b @ ( SV66 @ SV174 ) @ ( SV129 @ SV174 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[895]) ).
thf(977,plain,
! [SV129: $o > refine432681134nres_b,SV66: $o > refine432681134nres_b] :
( ( ( ord_le1656162903nres_b @ SV66 @ SV129 )
= $false )
| ( ( ord_le527798542nres_b @ ( SV66 @ $true ) @ ( SV129 @ $true ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[896]) ).
thf(978,plain,
! [SV129: $o > refine432681134nres_b,SV66: $o > refine432681134nres_b] :
( ( ( ord_le1656162903nres_b @ SV66 @ SV129 )
= $false )
| ( ( ord_le527798542nres_b @ ( SV66 @ $false ) @ ( SV129 @ $false ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[897]) ).
thf(979,plain,
! [SV175: b,SV130: refine432681134nres_b,SV67: refine432681134nres_b] :
( ( ( ord_le527798542nres_b @ SV67 @ SV130 )
= $false )
| ( ( ~ ( refine1001002028nres_b @ SV67 @ SV175 )
| ( refine1001002028nres_b @ SV130 @ SV175 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[898]) ).
thf(980,plain,
! [SV205: refine432681134nres_b,SV131: refine432681134nres_b] :
( ( ~ ( ( SV131 = SV205 )
| ~ ( ~ ( ord_le527798542nres_b @ SV205 @ SV131 )
| ~ ( ord_le527798542nres_b @ SV131 @ SV205 ) ) )
| ~ ( ( SV131 != SV205 )
| ~ ~ ( ~ ( ord_le527798542nres_b @ SV205 @ SV131 )
| ~ ( ord_le527798542nres_b @ SV131 @ SV205 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[899]) ).
thf(981,plain,
! [SV205: refine432681134nres_b,SV131: refine432681134nres_b] :
( ( ( SV131 = SV205 )
= ( ~ ( ~ ( ord_le527798542nres_b @ SV205 @ SV131 )
| ~ ( ord_le527798542nres_b @ SV131 @ SV205 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[899]) ).
thf(982,plain,
! [SV206: refine432681134nres_b,SV177: refine424419629nres_a > refine432681134nres_b,SV132: refine424419629nres_a,SV69: refine424419629nres_a] :
( ( ( ~ ( ord_le519537037nres_a @ SV69 @ SV132 ) )
= $true )
| ( ( ~ ( ord_le527798542nres_b @ ( SV177 @ SV132 ) @ SV206 )
| ~ ! [SY598: refine424419629nres_a,SY599: refine424419629nres_a] :
( ~ ( ord_le519537037nres_a @ SY598 @ SY599 )
| ( ord_le527798542nres_b @ ( SV177 @ SY598 ) @ ( SV177 @ SY599 ) ) )
| ( ord_le527798542nres_b @ ( SV177 @ SV69 ) @ SV206 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[900]) ).
thf(983,plain,
! [SV178: refine432681134nres_b > $o,SV133: refine432681134nres_b,SV70: refine432681134nres_b > $o] :
( ( ( SV70 @ SV133 )
= $false )
| ( ( ~ ! [SY528: refine432681134nres_b] :
( ~ ( SV70 @ SY528 )
| ( ord_le527798542nres_b @ SY528 @ SV133 ) )
| ~ ! [SY601: refine432681134nres_b] :
( ~ ( SV70 @ SY601 )
| ~ ! [SY404: refine432681134nres_b] :
( ~ ( SV70 @ SY404 )
| ( ord_le527798542nres_b @ SY404 @ SY601 ) )
| ( SV178 @ SY601 ) )
| ( SV178 @ ( order_1722590613nres_b @ SV70 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[901]) ).
thf(984,plain,
! [SV134: refine432681134nres_b,SV71: refine432681134nres_b] :
( ( ( ~ ( refine412683990fail_b @ SV71 ) )
= $false )
| ( ( ord_le527798542nres_b @ SV134 @ SV71 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[902]) ).
thf(985,plain,
! [SV71: refine432681134nres_b,SV134: refine432681134nres_b] :
( ( ( ord_le527798542nres_b @ SV134 @ SV71 )
= $false )
| ( ( ord_le527798542nres_b @ SV134 @ SV71 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[902]) ).
thf(986,plain,
! [SV207: refine424419629nres_a,SV179: refine424419629nres_a,SV135: refine424419629nres_a > refine432681134nres_b,SV72: refine432681134nres_b] :
( ( ( SV72
!= ( SV135 @ SV179 ) )
= $true )
| ( ( ~ ( ord_le519537037nres_a @ SV179 @ SV207 )
| ~ ! [SY533: refine424419629nres_a,SY534: refine424419629nres_a] :
( ~ ( ord_le519537037nres_a @ SY533 @ SY534 )
| ( ord_le527798542nres_b @ ( SV135 @ SY533 ) @ ( SV135 @ SY534 ) ) )
| ( ord_le527798542nres_b @ SV72 @ ( SV135 @ SV207 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[903]) ).
thf(987,plain,
! [SV73: refine432681134nres_b,SV136: refine432681134nres_b] :
( ( ( ~ ( ord_le527798542nres_b @ SV136 @ SV73 ) )
= $true )
| ( ( SV136 = SV73 )
= $true )
| ( ( ord_le527798542nres_b @ SV73 @ SV136 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[904]) ).
thf(988,plain,
! [SV208: refine424419629nres_a,SV180: refine432681134nres_b > refine424419629nres_a,SV137: refine432681134nres_b,SV74: refine432681134nres_b] :
( ( ( ~ ( ord_le527798542nres_b @ SV74 @ SV137 ) )
= $true )
| ( ( ~ ( ord_le519537037nres_a @ ( SV180 @ SV137 ) @ SV208 )
| ~ ! [SY607: refine432681134nres_b,SY608: refine432681134nres_b] :
( ~ ( ord_le527798542nres_b @ SY607 @ SY608 )
| ( ord_le519537037nres_a @ ( SV180 @ SY607 ) @ ( SV180 @ SY608 ) ) )
| ( ord_le519537037nres_a @ ( SV180 @ SV74 ) @ SV208 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[905]) ).
thf(989,plain,
! [SV75: refine432681134nres_b,SV138: refine432681134nres_b] :
( ( ( ~ ( ord_le527798542nres_b @ SV138 @ SV75 ) )
= $true )
| ( ( SV75 = SV138 )
= $true )
| ( ( ord_le527798542nres_b @ SV75 @ SV138 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[906]) ).
thf(990,plain,
! [SV209: $o > refine432681134nres_b,SV139: $o > refine432681134nres_b] :
( ( ~ ( ( ord_le1656162903nres_b @ SV139 @ SV209 )
| ~ ( ~ ( ord_le527798542nres_b @ ( SV139 @ $false ) @ ( SV209 @ $false ) )
| ~ ( ord_le527798542nres_b @ ( SV139 @ $true ) @ ( SV209 @ $true ) ) ) )
| ~ ( ~ ( ord_le1656162903nres_b @ SV139 @ SV209 )
| ~ ~ ( ~ ( ord_le527798542nres_b @ ( SV139 @ $false ) @ ( SV209 @ $false ) )
| ~ ( ord_le527798542nres_b @ ( SV139 @ $true ) @ ( SV209 @ $true ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[907]) ).
thf(991,plain,
! [SV209: $o > refine432681134nres_b,SV139: $o > refine432681134nres_b] :
( ( ( ord_le1656162903nres_b @ SV139 @ SV209 )
= ( ~ ( ~ ( ord_le527798542nres_b @ ( SV139 @ $false ) @ ( SV209 @ $false ) )
| ~ ( ord_le527798542nres_b @ ( SV139 @ $true ) @ ( SV209 @ $true ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[907]) ).
thf(992,plain,
! [SV77: set_a,SV1: set_a] :
( ( ( ( refine1198353288_RES_a @ SV1 )
= ( refine1198353288_RES_a @ SV77 ) )
= $false )
| ( ( ~ ( ( ( refine1198353288_RES_a @ SV1 )
!= ( refine1198353288_RES_a @ SV77 ) )
| ( SV1 != SV77 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[908]) ).
thf(993,plain,
! [SV77: set_a,SV1: set_a] :
( ( ( SV1 = SV77 )
= $false )
| ( ( ~ ( ( ( refine1198353288_RES_a @ SV1 )
!= ( refine1198353288_RES_a @ SV77 ) )
| ( SV1 != SV77 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[908]) ).
thf(994,plain,
! [SV78: set_a,SV2: set_a] :
( ( ( ( refine1198353288_RES_a @ SV2 )
= ( refine1198353288_RES_a @ SV78 ) )
= $false )
| ( ( ~ ( ( ( refine1198353288_RES_a @ SV2 )
!= ( refine1198353288_RES_a @ SV78 ) )
| ( SV2 != SV78 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[909]) ).
thf(995,plain,
! [SV78: set_a,SV2: set_a] :
( ( ( SV2 = SV78 )
= $false )
| ( ( ~ ( ( ( refine1198353288_RES_a @ SV2 )
!= ( refine1198353288_RES_a @ SV78 ) )
| ( SV2 != SV78 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[909]) ).
thf(996,plain,
! [SV79: a,SV5: a > $o] :
( ( ( refine1312857699nres_a @ ( refine1198353288_RES_a @ ( collect_a @ SV5 ) ) @ SV79 )
= $false )
| ( ( ~ ( ~ ( refine1312857699nres_a @ ( refine1198353288_RES_a @ ( collect_a @ SV5 ) ) @ SV79 )
| ~ ( SV5 @ SV79 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[910]) ).
thf(997,plain,
! [SV79: a,SV5: a > $o] :
( ( ( SV5 @ SV79 )
= $false )
| ( ( ~ ( ~ ( refine1312857699nres_a @ ( refine1198353288_RES_a @ ( collect_a @ SV5 ) ) @ SV79 )
| ~ ( SV5 @ SV79 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[910]) ).
thf(998,plain,
! [SV80: a > $o,SV7: a] :
( ( ( member_a @ SV7 @ ( collect_a @ SV80 ) )
= $false )
| ( ( ~ ( ~ ( member_a @ SV7 @ ( collect_a @ SV80 ) )
| ~ ( SV80 @ SV7 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[911]) ).
thf(999,plain,
! [SV7: a,SV80: a > $o] :
( ( ( SV80 @ SV7 )
= $false )
| ( ( ~ ( ~ ( member_a @ SV7 @ ( collect_a @ SV80 ) )
| ~ ( SV80 @ SV7 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[911]) ).
thf(1000,plain,
! [SV81: b,SV11: b] :
( ( ( ord_le527798542nres_b @ ( refine2063221605TURN_b @ SV11 ) @ ( refine2063221605TURN_b @ SV81 ) )
= $false )
| ( ( ~ ( ~ ( ord_le527798542nres_b @ ( refine2063221605TURN_b @ SV11 ) @ ( refine2063221605TURN_b @ SV81 ) )
| ( SV11 != SV81 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[912]) ).
thf(1001,plain,
! [SV81: b,SV11: b] :
( ( ( SV11 = SV81 )
= $false )
| ( ( ~ ( ~ ( ord_le527798542nres_b @ ( refine2063221605TURN_b @ SV11 ) @ ( refine2063221605TURN_b @ SV81 ) )
| ( SV11 != SV81 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[912]) ).
thf(1002,plain,
! [SV14: refine432681134nres_b] :
( ( ( ~ ( ord_le527798542nres_b @ top_to240090974nres_b @ SV14 )
| ( SV14 != top_to240090974nres_b ) )
= $false )
| ( ( ord_le527798542nres_b @ top_to240090974nres_b @ SV14 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[913]) ).
thf(1003,plain,
! [SV14: refine432681134nres_b] :
( ( ( ~ ( ord_le527798542nres_b @ top_to240090974nres_b @ SV14 )
| ( SV14 != top_to240090974nres_b ) )
= $false )
| ( ( SV14 = top_to240090974nres_b )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[914]) ).
thf(1004,plain,
! [SV16: refine432681134nres_b] :
( ( ( ~ ( ord_le527798542nres_b @ top_to240090974nres_b @ SV16 )
| ( SV16 != top_to240090974nres_b ) )
= $false )
| ( ( ord_le527798542nres_b @ top_to240090974nres_b @ SV16 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[915]) ).
thf(1005,plain,
! [SV16: refine432681134nres_b] :
( ( ( ~ ( ord_le527798542nres_b @ top_to240090974nres_b @ SV16 )
| ( SV16 != top_to240090974nres_b ) )
= $false )
| ( ( SV16 = top_to240090974nres_b )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[916]) ).
thf(1006,plain,
! [SV18: $o] :
( ( SV18 = $false )
| ( ( ~ ( ~ SV18
| ~ $true ) )
= $true )
| ( ( SV18 = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[917]) ).
thf(1007,plain,
! [SV18: $o] :
( ( $true = $false )
| ( ( ~ ( ~ SV18
| ~ $true ) )
= $true )
| ( ( SV18 = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[917]) ).
thf(1008,plain,
! [SV18: $o] :
( ( ( SV18
| $false )
= $false )
| ( ( ~ ( ~ SV18
| ~ $false ) )
= $true )
| ( ( SV18 = $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[918]) ).
thf(1009,plain,
( ( $true = $false )
| ( ( ~ ( ~ $true
| ~ $true ) )
= $true )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[919]) ).
thf(1010,plain,
( ( $true = $false )
| ( ( ~ ( ~ $true
| ~ $true ) )
= $true )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[919]) ).
thf(1011,plain,
( ( ( $true
| $false )
= $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[920]) ).
thf(1012,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $true ) )
= $true )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[921]) ).
thf(1013,plain,
( ( $true = $false )
| ( ( ~ ( ~ $false
| ~ $true ) )
= $true )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[921]) ).
thf(1014,plain,
( ( ( $false
| $false )
= $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[922]) ).
thf(1015,plain,
! [SV19: refine432681134nres_b,SV83: refine432681134nres_b] :
( ( ( ~ ( ( ord_le527798542nres_b @ SV83 @ SV19 )
| ( SV83 = SV19 ) ) )
= $true )
| ( ( ~ ( ~ ( ord_le527798542nres_b @ SV83 @ SV19 )
| ( SV83 != SV19 ) ) )
= $true )
| ( ( ord_le527798542nres_b @ SV19 @ SV83 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[923]) ).
thf(1016,plain,
! [SV84: refine432681134nres_b,SV20: refine432681134nres_b > $o] :
( ( ( ! [SY419: refine432681134nres_b] :
( ~ ( SV20 @ SY419 )
| ( ord_le527798542nres_b @ SY419 @ SV84 ) ) )
= $false )
| ( ( ( order_1722590613nres_b @ SV20 )
= SV84 )
= $true )
| ( ( SV20 @ SV84 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[925]) ).
thf(1017,plain,
! [SV210: refine432681134nres_b,SV182: refine432681134nres_b,SV140: refine432681134nres_b,SV85: refine432681134nres_b,SV21: $o] :
( ( ( ~ ( ~ SV21
| ( ord_le527798542nres_b @ SV85 @ SV140 ) ) )
= $true )
| ( ( ~ ( ~ ~ SV21
| ( ord_le527798542nres_b @ SV182 @ SV210 ) )
| ( ord_le527798542nres_b @ ( if_Ref1732808808nres_b @ SV21 @ SV85 @ SV182 ) @ ( if_Ref1732808808nres_b @ SV21 @ SV140 @ SV210 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[926]) ).
thf(1018,plain,
! [SV211: refine432681134nres_b,SV183: refine432681134nres_b,SV141: refine432681134nres_b,SV86: refine432681134nres_b] :
( ( ( ~ ( ~ $true
| ( ord_le527798542nres_b @ SV86 @ SV141 ) ) )
= $true )
| ( ( ~ ( ~ ~ $true
| ( ord_le527798542nres_b @ SV183 @ SV211 ) )
| ( ord_le527798542nres_b @ ( if_Ref1732808808nres_b @ $true @ SV86 @ SV183 ) @ ( if_Ref1732808808nres_b @ $true @ SV141 @ SV211 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[927]) ).
thf(1019,plain,
! [SV212: refine432681134nres_b,SV184: refine432681134nres_b,SV142: refine432681134nres_b,SV87: refine432681134nres_b] :
( ( ( ~ ( ~ $false
| ( ord_le527798542nres_b @ SV87 @ SV142 ) ) )
= $true )
| ( ( ~ ( ~ ~ $false
| ( ord_le527798542nres_b @ SV184 @ SV212 ) )
| ( ord_le527798542nres_b @ ( if_Ref1732808808nres_b @ $false @ SV87 @ SV184 ) @ ( if_Ref1732808808nres_b @ $false @ SV142 @ SV212 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[928]) ).
thf(1020,plain,
! [SV88: refine432681134nres_b,SV22: refine432681134nres_b,SV143: refine432681134nres_b] :
( ( ( ~ ( ord_le527798542nres_b @ SV143 @ SV22 ) )
= $true )
| ( ( ord_le527798542nres_b @ SV143 @ SV88 )
= $true )
| ( ( ord_le527798542nres_b @ SV22 @ SV88 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[929]) ).
thf(1021,plain,
! [SV185: refine432681134nres_b,SV144: refine432681134nres_b,SV89: set_Product_prod_b_b,SV23: refine432681134nres_b] :
( ( ( ord_le527798542nres_b @ SV23 @ ( refine122110613un_b_b @ SV89 @ SV144 ) )
= $false )
| ( ( ~ ( ord_le527798542nres_b @ SV144 @ SV185 )
| ( ord_le527798542nres_b @ SV23 @ ( refine122110613un_b_b @ SV89 @ SV185 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[930]) ).
thf(1022,plain,
! [SV25: refine432681134nres_b,SV91: refine432681134nres_b] :
( ( ( ord_le527798542nres_b @ SV91 @ SV25 )
= $false )
| ( ( SV25 = SV91 )
= $true )
| ( ( ord_le527798542nres_b @ SV25 @ SV91 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[931]) ).
thf(1023,plain,
! [SV26: refine432681134nres_b,SV145: refine432681134nres_b,SV92: refine432681134nres_b] :
( ( ( ~ ( ord_le527798542nres_b @ SV92 @ SV145 ) )
= $true )
| ( ( ord_le527798542nres_b @ SV26 @ SV145 )
= $true )
| ( ( SV26 = SV92 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[932]) ).
thf(1024,plain,
! [SV93: refine424419629nres_a,SV27: refine424419629nres_a > $o] :
( ( ( ! [SY275: set_a] : ( SV27 @ ( refine1198353288_RES_a @ SY275 ) ) )
= $false )
| ( ( SV27 @ SV93 )
= $true )
| ( ( SV27 @ refine464223677AILi_a )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[933]) ).
thf(1025,plain,
! [SV30: refine424419629nres_a,SV147: a > $o,SV95: a > $o] :
( ( ( ~ ! [SY547: a] :
( ~ ( SV95 @ SY547 )
| ( SV147 @ SY547 ) ) )
= $true )
| ( ( ord_le519537037nres_a @ SV30 @ ( refine1198353288_RES_a @ ( collect_a @ SV147 ) ) )
= $true )
| ( ( ord_le519537037nres_a @ SV30 @ ( refine1198353288_RES_a @ ( collect_a @ SV95 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[937]) ).
thf(1026,plain,
! [SV96: refine424419629nres_a,SV148: refine424419629nres_a,SV31: refine424419629nres_a > refine424419629nres_a > $o] :
( ( ( SV31 @ refine464223677AILi_a @ ( sK4_SY283 @ SV148 @ SV96 @ SV31 ) )
= $false )
| ( ( ~ ! [SY284: set_a] : ( SV31 @ ( refine1198353288_RES_a @ SY284 ) @ refine464223677AILi_a )
| ~ ! [SY285: set_a,SY286: set_a] : ( SV31 @ ( refine1198353288_RES_a @ SY285 ) @ ( refine1198353288_RES_a @ SY286 ) )
| ( SV31 @ SV96 @ SV148 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[938]) ).
thf(1027,plain,
! [SV97: a > $o,SV32: a > $o] :
( ( ( ~ ( ( SV32 @ ( sK1_SY442 @ SV97 @ SV32 ) )
| ( SV97 @ ( sK1_SY442 @ SV97 @ SV32 ) ) )
| ~ ( ~ ( SV32 @ ( sK1_SY442 @ SV97 @ SV32 ) )
| ~ ( SV97 @ ( sK1_SY442 @ SV97 @ SV32 ) ) ) )
= $false )
| ( ( ( collect_a @ SV32 )
= ( collect_a @ SV97 ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[939]) ).
thf(1028,plain,
! [SV97: a > $o,SV32: a > $o] :
( ( ( ( SV32 @ ( sK1_SY442 @ SV97 @ SV32 ) )
= ( SV97 @ ( sK1_SY442 @ SV97 @ SV32 ) ) )
= $false )
| ( ( ( collect_a @ SV32 )
= ( collect_a @ SV97 ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[939]) ).
thf(1029,plain,
! [SV186: refine432681134nres_b,SV149: refine432681134nres_b,SV98: refine432681134nres_b,SV33: refine432681134nres_b] :
( ( ( SV33 = SV98 )
= $false )
| ( ( ~ ( ord_le527798542nres_b @ SV98 @ SV149 )
| ( SV149 != SV186 )
| ( ord_le527798542nres_b @ SV33 @ SV186 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[940]) ).
thf(1030,plain,
! [SV187: refine424419629nres_a,SV150: refine432681134nres_b > refine424419629nres_a,SV99: refine432681134nres_b,SV34: refine432681134nres_b] :
( ( ( ord_le527798542nres_b @ SV34 @ SV99 )
= $false )
| ( ( ( ( SV150 @ SV99 )
!= SV187 )
| ~ ! [SY554: refine432681134nres_b,SY555: refine432681134nres_b] :
( ~ ( ord_le527798542nres_b @ SY554 @ SY555 )
| ( ord_le519537037nres_a @ ( SV150 @ SY554 ) @ ( SV150 @ SY555 ) ) )
| ( ord_le519537037nres_a @ ( SV150 @ SV34 ) @ SV187 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[941]) ).
thf(1031,plain,
! [SV188: refine432681134nres_b,SV151: refine432681134nres_b > refine432681134nres_b,SV100: refine432681134nres_b,SV35: refine432681134nres_b] :
( ( ( ord_le527798542nres_b @ SV35 @ SV100 )
= $false )
| ( ( ( ( SV151 @ SV100 )
!= SV188 )
| ~ ! [SY557: refine432681134nres_b,SY558: refine432681134nres_b] :
( ~ ( ord_le527798542nres_b @ SY557 @ SY558 )
| ( ord_le527798542nres_b @ ( SV151 @ SY557 ) @ ( SV151 @ SY558 ) ) )
| ( ord_le527798542nres_b @ ( SV151 @ SV35 ) @ SV188 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[942]) ).
thf(1032,plain,
! [SV36: refine432681134nres_b,SV152: refine432681134nres_b,SV101: refine432681134nres_b] :
( ( ( ~ ( ord_le527798542nres_b @ SV101 @ SV152 ) )
= $true )
| ( ( ord_le527798542nres_b @ SV36 @ SV152 )
= $true )
| ( ( ord_le527798542nres_b @ SV36 @ SV101 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[943]) ).
thf(1033,plain,
! [SV189: refine432681134nres_b,SV153: refine432681134nres_b,SV102: refine432681134nres_b,SV37: $o] :
( ( ( ~ SV37
| ( ord_le527798542nres_b @ SV102 @ SV153 ) )
= $false )
| ( ( ~ ( ~ ~ SV37
| ( ord_le527798542nres_b @ SV189 @ SV153 ) )
| ( ord_le527798542nres_b @ ( if_Ref1732808808nres_b @ SV37 @ SV102 @ SV189 ) @ SV153 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[944]) ).
thf(1034,plain,
! [SV190: refine432681134nres_b,SV154: refine432681134nres_b,SV103: refine432681134nres_b] :
( ( ( ~ $true
| ( ord_le527798542nres_b @ SV103 @ SV154 ) )
= $false )
| ( ( ~ ( ~ ~ $true
| ( ord_le527798542nres_b @ SV190 @ SV154 ) )
| ( ord_le527798542nres_b @ ( if_Ref1732808808nres_b @ $true @ SV103 @ SV190 ) @ SV154 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[945]) ).
thf(1035,plain,
! [SV191: refine432681134nres_b,SV155: refine432681134nres_b,SV104: refine432681134nres_b] :
( ( ( ~ $false
| ( ord_le527798542nres_b @ SV104 @ SV155 ) )
= $false )
| ( ( ~ ( ~ ~ $false
| ( ord_le527798542nres_b @ SV191 @ SV155 ) )
| ( ord_le527798542nres_b @ ( if_Ref1732808808nres_b @ $false @ SV104 @ SV191 ) @ SV155 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[946]) ).
thf(1036,plain,
! [SV105: refine424419629nres_a,SV156: refine424419629nres_a,SV38: refine424419629nres_a > refine424419629nres_a > $o] :
( ( ( SV38 @ ( sK5_SY309 @ SV156 @ SV105 @ SV38 ) @ refine464223677AILi_a )
= $false )
| ( ( ~ ! [SY310: set_a,SY311: set_a] : ( SV38 @ ( refine1198353288_RES_a @ SY310 ) @ ( refine1198353288_RES_a @ SY311 ) )
| ~ ! [SY312: set_a] : ( SV38 @ refine464223677AILi_a @ ( refine1198353288_RES_a @ SY312 ) )
| ( SV38 @ SV105 @ SV156 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[947]) ).
thf(1037,plain,
! [SV213: a > refine432681134nres_b,SV192: set_Product_prod_b_b,SV157: refine432681134nres_b,SV106: a,SV39: a > $o] :
( ( ( ~ ( SV39 @ SV106 ) )
= $true )
| ( ( ~ ( ord_le527798542nres_b @ SV157 @ ( refine122110613un_b_b @ SV192 @ ( SV213 @ SV106 ) ) )
| ( ord_le527798542nres_b @ SV157 @ ( refine122110613un_b_b @ SV192 @ ( refine436832839nd_a_b @ ( refine1198353288_RES_a @ ( collect_a @ SV39 ) ) @ SV213 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[948]) ).
thf(1038,plain,
! [SV193: refine432681134nres_b,SV158: refine432681134nres_b > refine432681134nres_b,SV107: refine432681134nres_b,SV40: refine432681134nres_b] :
( ( ( ord_le527798542nres_b @ SV40 @ SV107 )
= $false )
| ( ( ~ ( ord_le527798542nres_b @ ( SV158 @ SV107 ) @ SV193 )
| ~ ! [SY569: refine432681134nres_b,SY570: refine432681134nres_b] :
( ~ ( ord_le527798542nres_b @ SY569 @ SY570 )
| ( ord_le527798542nres_b @ ( SV158 @ SY569 ) @ ( SV158 @ SY570 ) ) )
| ( ord_le527798542nres_b @ ( SV158 @ SV40 ) @ SV193 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[949]) ).
thf(1039,plain,
! [SV194: refine424419629nres_a,SV159: refine424419629nres_a,SV108: refine424419629nres_a > refine432681134nres_b,SV41: refine432681134nres_b] :
( ( ( ord_le527798542nres_b @ SV41 @ ( SV108 @ SV159 ) )
= $false )
| ( ( ~ ( ord_le519537037nres_a @ SV159 @ SV194 )
| ~ ! [SY474: refine424419629nres_a,SY475: refine424419629nres_a] :
( ~ ( ord_le519537037nres_a @ SY474 @ SY475 )
| ( ord_le527798542nres_b @ ( SV108 @ SY474 ) @ ( SV108 @ SY475 ) ) )
| ( ord_le527798542nres_b @ SV41 @ ( SV108 @ SV194 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[950]) ).
thf(1040,plain,
! [SV195: refine432681134nres_b,SV160: set_Product_prod_b_b,SV110: refine432681134nres_b,SV43: refine432681134nres_b] :
( ( ( ord_le527798542nres_b @ SV43 @ SV110 )
= $false )
| ( ( ~ ( ord_le527798542nres_b @ ( refine1964549110un_b_b @ SV160 @ SV110 ) @ SV195 )
| ( ord_le527798542nres_b @ ( refine1964549110un_b_b @ SV160 @ SV43 ) @ SV195 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[951]) ).
thf(1041,plain,
! [SV196: refine432681134nres_b,SV111: refine432681134nres_b] :
( ( ( ~ ( ( SV111 = SV196 )
| ~ ( ~ ( ord_le527798542nres_b @ SV111 @ SV196 )
| ~ ( ord_le527798542nres_b @ SV196 @ SV111 ) ) ) )
= $true )
| ( ( ~ ( ( SV111 != SV196 )
| ~ ~ ( ~ ( ord_le527798542nres_b @ SV111 @ SV196 )
| ~ ( ord_le527798542nres_b @ SV196 @ SV111 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[952]) ).
thf(1042,plain,
! [SV45: refine432681134nres_b,SV162: refine432681134nres_b,SV112: refine432681134nres_b] :
( ( ( ~ ( ord_le527798542nres_b @ SV112 @ SV162 ) )
= $true )
| ( ( ord_le527798542nres_b @ SV45 @ SV162 )
= $true )
| ( ( ord_le527798542nres_b @ SV45 @ SV112 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[954]) ).
thf(1043,plain,
! [SV46: refine424419629nres_a,SV163: a > $o,SV113: refine424419629nres_a] :
( ( ( ~ ( ord_le519537037nres_a @ SV113 @ ( refine1198353288_RES_a @ ( collect_a @ SV163 ) ) ) )
= $true )
| ( ( ord_le519537037nres_a @ SV46 @ ( refine1198353288_RES_a @ ( collect_a @ SV163 ) ) )
= $true )
| ( ( ord_le519537037nres_a @ SV46 @ SV113 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[955]) ).
thf(1044,plain,
! [SV47: refine432681134nres_b,SV114: refine432681134nres_b] :
( ( ( refine412683990fail_b @ SV114 )
= $false )
| ( ( refine412683990fail_b @ SV47 )
= $true )
| ( ( ord_le527798542nres_b @ SV47 @ SV114 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[956]) ).
thf(1045,plain,
! [SV115: a > $o,SV48: a > $o] :
( ( ( ~ ( SV48 @ ( sK2_SY482 @ SV115 @ SV48 ) ) )
= $false )
| ( ( ord_less_eq_set_a @ ( collect_a @ SV48 ) @ ( collect_a @ SV115 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[957]) ).
thf(1046,plain,
! [SV48: a > $o,SV115: a > $o] :
( ( ( SV115 @ ( sK2_SY482 @ SV115 @ SV48 ) )
= $false )
| ( ( ord_less_eq_set_a @ ( collect_a @ SV48 ) @ ( collect_a @ SV115 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[957]) ).
thf(1047,plain,
! [SV197: refine432681134nres_b,SV164: refine432681134nres_b,SV116: refine432681134nres_b > refine424419629nres_a,SV49: refine424419629nres_a] :
( ( ( ord_le519537037nres_a @ SV49 @ ( SV116 @ SV164 ) )
= $false )
| ( ( ~ ( ord_le527798542nres_b @ SV164 @ SV197 )
| ~ ! [SY485: refine432681134nres_b,SY486: refine432681134nres_b] :
( ~ ( ord_le527798542nres_b @ SY485 @ SY486 )
| ( ord_le519537037nres_a @ ( SV116 @ SY485 ) @ ( SV116 @ SY486 ) ) )
| ( ord_le519537037nres_a @ SV49 @ ( SV116 @ SV197 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[958]) ).
thf(1048,plain,
! [SV198: refine432681134nres_b,SV165: refine432681134nres_b,SV117: refine432681134nres_b > refine432681134nres_b,SV50: refine432681134nres_b] :
( ( ( SV50
= ( SV117 @ SV165 ) )
= $false )
| ( ( ~ ( ord_le527798542nres_b @ SV165 @ SV198 )
| ~ ! [SY489: refine432681134nres_b,SY490: refine432681134nres_b] :
( ~ ( ord_le527798542nres_b @ SY489 @ SY490 )
| ( ord_le527798542nres_b @ ( SV117 @ SY489 ) @ ( SV117 @ SY490 ) ) )
| ( ord_le527798542nres_b @ SV50 @ ( SV117 @ SV198 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[959]) ).
thf(1049,plain,
! [SV199: a > refine432681134nres_b,SV166: refine432681134nres_b,SV118: set_a,SV51: a] :
( ( ( member_a @ SV51 @ SV118 )
= $false )
| ( ( ~ ( ord_le527798542nres_b @ SV166 @ ( SV199 @ SV51 ) )
| ( ord_le527798542nres_b @ SV166 @ ( refine436832839nd_a_b @ ( refine1198353288_RES_a @ SV118 ) @ SV199 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[960]) ).
thf(1050,plain,
! [SV214: $o,SV200: refine432681134nres_b,SV167: refine432681134nres_b,SV119: refine432681134nres_b,SV52: refine432681134nres_b] :
( ( ( ~ ( ord_le527798542nres_b @ SV52 @ SV119 ) )
= $true )
| ( ( ~ ( ord_le527798542nres_b @ SV167 @ SV200 )
| ( ord_le527798542nres_b @ ( if_Ref1732808808nres_b @ SV214 @ SV52 @ SV167 ) @ ( if_Ref1732808808nres_b @ SV214 @ SV119 @ SV200 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[961]) ).
thf(1051,plain,
! [SV200: refine432681134nres_b,SV167: refine432681134nres_b,SV119: refine432681134nres_b,SV52: refine432681134nres_b] :
( ( ( ~ ( ord_le527798542nres_b @ SV52 @ SV119 ) )
= $true )
| ( ( ~ ( ord_le527798542nres_b @ SV167 @ SV200 )
| ( ord_le527798542nres_b @ ( if_Ref1732808808nres_b @ $true @ SV52 @ SV167 ) @ ( if_Ref1732808808nres_b @ $true @ SV119 @ SV200 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[962]) ).
thf(1052,plain,
! [SV200: refine432681134nres_b,SV167: refine432681134nres_b,SV119: refine432681134nres_b,SV52: refine432681134nres_b] :
( ( ( ~ ( ord_le527798542nres_b @ SV52 @ SV119 ) )
= $true )
| ( ( ~ ( ord_le527798542nres_b @ SV167 @ SV200 )
| ( ord_le527798542nres_b @ ( if_Ref1732808808nres_b @ $false @ SV52 @ SV167 ) @ ( if_Ref1732808808nres_b @ $false @ SV119 @ SV200 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[963]) ).
thf(1053,plain,
! [SV53: refine424419629nres_a] :
( ( ( SV53
!= ( refine1198353288_RES_a @ ( sK6_SY357 @ SV53 ) ) )
= $false )
| ( ( SV53 = top_to231829469nres_a )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[964]) ).
thf(1054,plain,
! [SV201: refine432681134nres_b,SV120: refine432681134nres_b] :
( ( ( ~ ( ( SV120 = SV201 )
| ~ ( ~ ( ord_le527798542nres_b @ SV120 @ SV201 )
| ~ ( ord_le527798542nres_b @ SV201 @ SV120 ) ) ) )
= $true )
| ( ( ~ ( ( SV120 != SV201 )
| ~ ~ ( ~ ( ord_le527798542nres_b @ SV120 @ SV201 )
| ~ ( ord_le527798542nres_b @ SV201 @ SV120 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[965]) ).
thf(1055,plain,
! [SV55: refine432681134nres_b,SV169: refine432681134nres_b,SV121: refine432681134nres_b] :
( ( ( SV121 != SV169 )
= $true )
| ( ( ord_le527798542nres_b @ SV55 @ SV169 )
= $true )
| ( ( ord_le527798542nres_b @ SV55 @ SV121 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[967]) ).
thf(1056,plain,
! [SV122: a > $o,SV56: a > $o] :
( ( ( ~ ( SV56 @ ( sK3_SY499 @ SV122 @ SV56 ) ) )
= $false )
| ( ( ord_le519537037nres_a @ ( refine1198353288_RES_a @ ( collect_a @ SV56 ) ) @ ( refine1198353288_RES_a @ ( collect_a @ SV122 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[968]) ).
thf(1057,plain,
! [SV56: a > $o,SV122: a > $o] :
( ( ( SV122 @ ( sK3_SY499 @ SV122 @ SV56 ) )
= $false )
| ( ( ord_le519537037nres_a @ ( refine1198353288_RES_a @ ( collect_a @ SV56 ) ) @ ( refine1198353288_RES_a @ ( collect_a @ SV122 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[968]) ).
thf(1058,plain,
! [SV123: refine424419629nres_a] :
( ( ( refine412683989fail_a @ SV123 )
= $false )
| ( ( ~ ( ~ ( refine412683989fail_a @ SV123 )
| ~ ~ ! [SY500: set_a] :
( SV123
!= ( refine1198353288_RES_a @ SY500 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[969]) ).
thf(1059,plain,
! [SV123: refine424419629nres_a] :
( ( ( ~ ! [SY500: set_a] :
( SV123
!= ( refine1198353288_RES_a @ SY500 ) ) )
= $false )
| ( ( ~ ( ~ ( refine412683989fail_a @ SV123 )
| ~ ~ ! [SY500: set_a] :
( SV123
!= ( refine1198353288_RES_a @ SY500 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[969]) ).
thf(1060,plain,
! [SV202: refine432681134nres_b,SV170: refine424419629nres_a > refine432681134nres_b,SV124: refine424419629nres_a,SV59: refine424419629nres_a] :
( ( ( ord_le519537037nres_a @ SV59 @ SV124 )
= $false )
| ( ( ( ( SV170 @ SV124 )
!= SV202 )
| ~ ! [SY585: refine424419629nres_a,SY586: refine424419629nres_a] :
( ~ ( ord_le519537037nres_a @ SY585 @ SY586 )
| ( ord_le527798542nres_b @ ( SV170 @ SY585 ) @ ( SV170 @ SY586 ) ) )
| ( ord_le527798542nres_b @ ( SV170 @ SV59 ) @ SV202 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[970]) ).
thf(1061,plain,
! [SV203: refine432681134nres_b,SV171: refine432681134nres_b,SV125: refine432681134nres_b > refine432681134nres_b,SV60: refine432681134nres_b] :
( ( ( ord_le527798542nres_b @ SV60 @ ( SV125 @ SV171 ) )
= $false )
| ( ( ~ ( ord_le527798542nres_b @ SV171 @ SV203 )
| ~ ! [SY507: refine432681134nres_b,SY508: refine432681134nres_b] :
( ~ ( ord_le527798542nres_b @ SY507 @ SY508 )
| ( ord_le527798542nres_b @ ( SV125 @ SY507 ) @ ( SV125 @ SY508 ) ) )
| ( ord_le527798542nres_b @ SV60 @ ( SV125 @ SV203 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[971]) ).
thf(1062,plain,
! [SV126: refine424419629nres_a,SV172: refine424419629nres_a,SV61: refine424419629nres_a > refine424419629nres_a > $o] :
( ( ( SV61 @ ( sK7_SY377 @ SV172 @ SV126 @ SV61 ) @ refine464223677AILi_a )
= $false )
| ( ( ~ ! [SY378: set_a] : ( SV61 @ refine464223677AILi_a @ ( refine1198353288_RES_a @ SY378 ) )
| ~ ! [SY379: set_a,SY380: set_a] : ( SV61 @ ( refine1198353288_RES_a @ SY379 ) @ ( refine1198353288_RES_a @ SY380 ) )
| ( SV61 @ SV126 @ SV172 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[972]) ).
thf(1063,plain,
! [SV127: a > $o,SV62: a > $o] :
( ( ( ord_less_eq_set_a @ ( collect_a @ SV62 ) @ ( collect_a @ SV127 ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ ( collect_a @ SV62 ) @ ( collect_a @ SV127 ) )
| ~ ! [SY514: a] :
( ~ ( SV62 @ SY514 )
| ( SV127 @ SY514 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[973]) ).
thf(1064,plain,
! [SV127: a > $o,SV62: a > $o] :
( ( ( ! [SY514: a] :
( ~ ( SV62 @ SY514 )
| ( SV127 @ SY514 ) ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ ( collect_a @ SV62 ) @ ( collect_a @ SV127 ) )
| ~ ! [SY514: a] :
( ~ ( SV62 @ SY514 )
| ( SV127 @ SY514 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[973]) ).
thf(1065,plain,
! [SV64: refine424419629nres_a] :
( ( ( SV64
!= ( refine1198353288_RES_a @ ( sK8_SY383 @ SV64 ) ) )
= $false )
| ( ( SV64 = refine464223677AILi_a )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[974]) ).
thf(1066,plain,
! [SV204: refine432681134nres_b,SV173: refine432681134nres_b,SV128: refine432681134nres_b > refine424419629nres_a,SV65: refine424419629nres_a] :
( ( ( SV65
= ( SV128 @ SV173 ) )
= $false )
| ( ( ~ ( ord_le527798542nres_b @ SV173 @ SV204 )
| ~ ! [SY517: refine432681134nres_b,SY518: refine432681134nres_b] :
( ~ ( ord_le527798542nres_b @ SY517 @ SY518 )
| ( ord_le519537037nres_a @ ( SV128 @ SY517 ) @ ( SV128 @ SY518 ) ) )
| ( ord_le519537037nres_a @ SV65 @ ( SV128 @ SV204 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[975]) ).
thf(1067,plain,
! [SV130: refine432681134nres_b,SV175: b,SV67: refine432681134nres_b] :
( ( ( ~ ( refine1001002028nres_b @ SV67 @ SV175 ) )
= $true )
| ( ( refine1001002028nres_b @ SV130 @ SV175 )
= $true )
| ( ( ord_le527798542nres_b @ SV67 @ SV130 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[979]) ).
thf(1068,plain,
! [SV205: refine432681134nres_b,SV131: refine432681134nres_b] :
( ( ( ~ ( ( SV131 = SV205 )
| ~ ( ~ ( ord_le527798542nres_b @ SV205 @ SV131 )
| ~ ( ord_le527798542nres_b @ SV131 @ SV205 ) ) ) )
= $true )
| ( ( ~ ( ( SV131 != SV205 )
| ~ ~ ( ~ ( ord_le527798542nres_b @ SV205 @ SV131 )
| ~ ( ord_le527798542nres_b @ SV131 @ SV205 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[980]) ).
thf(1069,plain,
! [SV206: refine432681134nres_b,SV177: refine424419629nres_a > refine432681134nres_b,SV132: refine424419629nres_a,SV69: refine424419629nres_a] :
( ( ( ord_le519537037nres_a @ SV69 @ SV132 )
= $false )
| ( ( ~ ( ord_le527798542nres_b @ ( SV177 @ SV132 ) @ SV206 )
| ~ ! [SY598: refine424419629nres_a,SY599: refine424419629nres_a] :
( ~ ( ord_le519537037nres_a @ SY598 @ SY599 )
| ( ord_le527798542nres_b @ ( SV177 @ SY598 ) @ ( SV177 @ SY599 ) ) )
| ( ord_le527798542nres_b @ ( SV177 @ SV69 ) @ SV206 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[982]) ).
thf(1070,plain,
! [SV178: refine432681134nres_b > $o,SV133: refine432681134nres_b,SV70: refine432681134nres_b > $o] :
( ( ( ~ ! [SY528: refine432681134nres_b] :
( ~ ( SV70 @ SY528 )
| ( ord_le527798542nres_b @ SY528 @ SV133 ) ) )
= $true )
| ( ( ~ ! [SY601: refine432681134nres_b] :
( ~ ( SV70 @ SY601 )
| ~ ! [SY404: refine432681134nres_b] :
( ~ ( SV70 @ SY404 )
| ( ord_le527798542nres_b @ SY404 @ SY601 ) )
| ( SV178 @ SY601 ) )
| ( SV178 @ ( order_1722590613nres_b @ SV70 ) ) )
= $true )
| ( ( SV70 @ SV133 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[983]) ).
thf(1071,plain,
! [SV134: refine432681134nres_b,SV71: refine432681134nres_b] :
( ( ( refine412683990fail_b @ SV71 )
= $true )
| ( ( ord_le527798542nres_b @ SV134 @ SV71 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[984]) ).
thf(1072,plain,
! [SV207: refine424419629nres_a,SV179: refine424419629nres_a,SV135: refine424419629nres_a > refine432681134nres_b,SV72: refine432681134nres_b] :
( ( ( SV72
= ( SV135 @ SV179 ) )
= $false )
| ( ( ~ ( ord_le519537037nres_a @ SV179 @ SV207 )
| ~ ! [SY533: refine424419629nres_a,SY534: refine424419629nres_a] :
( ~ ( ord_le519537037nres_a @ SY533 @ SY534 )
| ( ord_le527798542nres_b @ ( SV135 @ SY533 ) @ ( SV135 @ SY534 ) ) )
| ( ord_le527798542nres_b @ SV72 @ ( SV135 @ SV207 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[986]) ).
thf(1073,plain,
! [SV73: refine432681134nres_b,SV136: refine432681134nres_b] :
( ( ( ord_le527798542nres_b @ SV136 @ SV73 )
= $false )
| ( ( SV136 = SV73 )
= $true )
| ( ( ord_le527798542nres_b @ SV73 @ SV136 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[987]) ).
thf(1074,plain,
! [SV208: refine424419629nres_a,SV180: refine432681134nres_b > refine424419629nres_a,SV137: refine432681134nres_b,SV74: refine432681134nres_b] :
( ( ( ord_le527798542nres_b @ SV74 @ SV137 )
= $false )
| ( ( ~ ( ord_le519537037nres_a @ ( SV180 @ SV137 ) @ SV208 )
| ~ ! [SY607: refine432681134nres_b,SY608: refine432681134nres_b] :
( ~ ( ord_le527798542nres_b @ SY607 @ SY608 )
| ( ord_le519537037nres_a @ ( SV180 @ SY607 ) @ ( SV180 @ SY608 ) ) )
| ( ord_le519537037nres_a @ ( SV180 @ SV74 ) @ SV208 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[988]) ).
thf(1075,plain,
! [SV75: refine432681134nres_b,SV138: refine432681134nres_b] :
( ( ( ord_le527798542nres_b @ SV138 @ SV75 )
= $false )
| ( ( SV75 = SV138 )
= $true )
| ( ( ord_le527798542nres_b @ SV75 @ SV138 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[989]) ).
thf(1076,plain,
! [SV209: $o > refine432681134nres_b,SV139: $o > refine432681134nres_b] :
( ( ( ~ ( ( ord_le1656162903nres_b @ SV139 @ SV209 )
| ~ ( ~ ( ord_le527798542nres_b @ ( SV139 @ $false ) @ ( SV209 @ $false ) )
| ~ ( ord_le527798542nres_b @ ( SV139 @ $true ) @ ( SV209 @ $true ) ) ) ) )
= $true )
| ( ( ~ ( ~ ( ord_le1656162903nres_b @ SV139 @ SV209 )
| ~ ~ ( ~ ( ord_le527798542nres_b @ ( SV139 @ $false ) @ ( SV209 @ $false ) )
| ~ ( ord_le527798542nres_b @ ( SV139 @ $true ) @ ( SV209 @ $true ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[990]) ).
thf(1077,plain,
! [SV77: set_a,SV1: set_a] :
( ( ( ( ( refine1198353288_RES_a @ SV1 )
!= ( refine1198353288_RES_a @ SV77 ) )
| ( SV1 != SV77 ) )
= $false )
| ( ( ( refine1198353288_RES_a @ SV1 )
= ( refine1198353288_RES_a @ SV77 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[992]) ).
thf(1078,plain,
! [SV77: set_a,SV1: set_a] :
( ( ( ( ( refine1198353288_RES_a @ SV1 )
!= ( refine1198353288_RES_a @ SV77 ) )
| ( SV1 != SV77 ) )
= $false )
| ( ( SV1 = SV77 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[993]) ).
thf(1079,plain,
! [SV78: set_a,SV2: set_a] :
( ( ( ( ( refine1198353288_RES_a @ SV2 )
!= ( refine1198353288_RES_a @ SV78 ) )
| ( SV2 != SV78 ) )
= $false )
| ( ( ( refine1198353288_RES_a @ SV2 )
= ( refine1198353288_RES_a @ SV78 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[994]) ).
thf(1080,plain,
! [SV78: set_a,SV2: set_a] :
( ( ( ( ( refine1198353288_RES_a @ SV2 )
!= ( refine1198353288_RES_a @ SV78 ) )
| ( SV2 != SV78 ) )
= $false )
| ( ( SV2 = SV78 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[995]) ).
thf(1081,plain,
! [SV79: a,SV5: a > $o] :
( ( ( ~ ( refine1312857699nres_a @ ( refine1198353288_RES_a @ ( collect_a @ SV5 ) ) @ SV79 )
| ~ ( SV5 @ SV79 ) )
= $false )
| ( ( refine1312857699nres_a @ ( refine1198353288_RES_a @ ( collect_a @ SV5 ) ) @ SV79 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[996]) ).
thf(1082,plain,
! [SV79: a,SV5: a > $o] :
( ( ( ~ ( refine1312857699nres_a @ ( refine1198353288_RES_a @ ( collect_a @ SV5 ) ) @ SV79 )
| ~ ( SV5 @ SV79 ) )
= $false )
| ( ( SV5 @ SV79 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[997]) ).
thf(1083,plain,
! [SV80: a > $o,SV7: a] :
( ( ( ~ ( member_a @ SV7 @ ( collect_a @ SV80 ) )
| ~ ( SV80 @ SV7 ) )
= $false )
| ( ( member_a @ SV7 @ ( collect_a @ SV80 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[998]) ).
thf(1084,plain,
! [SV80: a > $o,SV7: a] :
( ( ( ~ ( member_a @ SV7 @ ( collect_a @ SV80 ) )
| ~ ( SV80 @ SV7 ) )
= $false )
| ( ( SV80 @ SV7 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[999]) ).
thf(1085,plain,
! [SV81: b,SV11: b] :
( ( ( ~ ( ord_le527798542nres_b @ ( refine2063221605TURN_b @ SV11 ) @ ( refine2063221605TURN_b @ SV81 ) )
| ( SV11 != SV81 ) )
= $false )
| ( ( ord_le527798542nres_b @ ( refine2063221605TURN_b @ SV11 ) @ ( refine2063221605TURN_b @ SV81 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1000]) ).
thf(1086,plain,
! [SV81: b,SV11: b] :
( ( ( ~ ( ord_le527798542nres_b @ ( refine2063221605TURN_b @ SV11 ) @ ( refine2063221605TURN_b @ SV81 ) )
| ( SV11 != SV81 ) )
= $false )
| ( ( SV11 = SV81 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1001]) ).
thf(1087,plain,
! [SV14: refine432681134nres_b] :
( ( ( ~ ( ord_le527798542nres_b @ top_to240090974nres_b @ SV14 ) )
= $false )
| ( ( ord_le527798542nres_b @ top_to240090974nres_b @ SV14 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1002]) ).
thf(1088,plain,
! [SV14: refine432681134nres_b] :
( ( ( SV14 != top_to240090974nres_b )
= $false )
| ( ( ord_le527798542nres_b @ top_to240090974nres_b @ SV14 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1002]) ).
thf(1089,plain,
! [SV14: refine432681134nres_b] :
( ( ( ~ ( ord_le527798542nres_b @ top_to240090974nres_b @ SV14 ) )
= $false )
| ( ( SV14 = top_to240090974nres_b )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1003]) ).
thf(1090,plain,
! [SV14: refine432681134nres_b] :
( ( ( SV14 != top_to240090974nres_b )
= $false )
| ( ( SV14 = top_to240090974nres_b )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1003]) ).
thf(1091,plain,
! [SV16: refine432681134nres_b] :
( ( ( ~ ( ord_le527798542nres_b @ top_to240090974nres_b @ SV16 ) )
= $false )
| ( ( ord_le527798542nres_b @ top_to240090974nres_b @ SV16 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1004]) ).
thf(1092,plain,
! [SV16: refine432681134nres_b] :
( ( ( SV16 != top_to240090974nres_b )
= $false )
| ( ( ord_le527798542nres_b @ top_to240090974nres_b @ SV16 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1004]) ).
thf(1093,plain,
! [SV16: refine432681134nres_b] :
( ( ( ~ ( ord_le527798542nres_b @ top_to240090974nres_b @ SV16 ) )
= $false )
| ( ( SV16 = top_to240090974nres_b )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1005]) ).
thf(1094,plain,
! [SV16: refine432681134nres_b] :
( ( ( SV16 != top_to240090974nres_b )
= $false )
| ( ( SV16 = top_to240090974nres_b )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1005]) ).
thf(1095,plain,
! [SV18: $o] :
( ( ( ~ SV18
| ~ $true )
= $false )
| ( SV18 = $false )
| ( ( SV18 = $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1006]) ).
thf(1096,plain,
! [SV18: $o] :
( ( ( ~ SV18
| ~ $true )
= $false )
| ( $true = $false )
| ( ( SV18 = $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1007]) ).
thf(1097,plain,
! [SV18: $o] :
( ( SV18 = $false )
| ( ( ~ ( ~ SV18
| ~ $false ) )
= $true )
| ( ( SV18 = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1008]) ).
thf(1098,plain,
! [SV18: $o] :
( ( $false = $false )
| ( ( ~ ( ~ SV18
| ~ $false ) )
= $true )
| ( ( SV18 = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1008]) ).
thf(1099,plain,
( ( ( ~ $true
| ~ $true )
= $false )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1009]) ).
thf(1100,plain,
( ( ( ~ $true
| ~ $true )
= $false )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1010]) ).
thf(1101,plain,
( ( $true = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1011]) ).
thf(1102,plain,
( ( $false = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1011]) ).
thf(1103,plain,
( ( ( ~ $false
| ~ $true )
= $false )
| ( $false = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1012]) ).
thf(1104,plain,
( ( ( ~ $false
| ~ $true )
= $false )
| ( $true = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1013]) ).
thf(1105,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1014]) ).
thf(1106,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1014]) ).
thf(1107,plain,
! [SV19: refine432681134nres_b,SV83: refine432681134nres_b] :
( ( ( ( ord_le527798542nres_b @ SV83 @ SV19 )
| ( SV83 = SV19 ) )
= $false )
| ( ( ~ ( ~ ( ord_le527798542nres_b @ SV83 @ SV19 )
| ( SV83 != SV19 ) ) )
= $true )
| ( ( ord_le527798542nres_b @ SV19 @ SV83 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1015]) ).
thf(1108,plain,
! [SV84: refine432681134nres_b,SV20: refine432681134nres_b > $o] :
( ( ( ~ ( SV20 @ ( sK9_SY419 @ SV84 @ SV20 ) )
| ( ord_le527798542nres_b @ ( sK9_SY419 @ SV84 @ SV20 ) @ SV84 ) )
= $false )
| ( ( ( order_1722590613nres_b @ SV20 )
= SV84 )
= $true )
| ( ( SV20 @ SV84 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1016]) ).
thf(1109,plain,
! [SV210: refine432681134nres_b,SV182: refine432681134nres_b,SV140: refine432681134nres_b,SV85: refine432681134nres_b,SV21: $o] :
( ( ( ~ SV21
| ( ord_le527798542nres_b @ SV85 @ SV140 ) )
= $false )
| ( ( ~ ( ~ ~ SV21
| ( ord_le527798542nres_b @ SV182 @ SV210 ) )
| ( ord_le527798542nres_b @ ( if_Ref1732808808nres_b @ SV21 @ SV85 @ SV182 ) @ ( if_Ref1732808808nres_b @ SV21 @ SV140 @ SV210 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1017]) ).
thf(1110,plain,
! [SV211: refine432681134nres_b,SV183: refine432681134nres_b,SV141: refine432681134nres_b,SV86: refine432681134nres_b] :
( ( ( ~ $true
| ( ord_le527798542nres_b @ SV86 @ SV141 ) )
= $false )
| ( ( ~ ( ~ ~ $true
| ( ord_le527798542nres_b @ SV183 @ SV211 ) )
| ( ord_le527798542nres_b @ ( if_Ref1732808808nres_b @ $true @ SV86 @ SV183 ) @ ( if_Ref1732808808nres_b @ $true @ SV141 @ SV211 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1018]) ).
thf(1111,plain,
! [SV212: refine432681134nres_b,SV184: refine432681134nres_b,SV142: refine432681134nres_b,SV87: refine432681134nres_b] :
( ( ( ~ $false
| ( ord_le527798542nres_b @ SV87 @ SV142 ) )
= $false )
| ( ( ~ ( ~ ~ $false
| ( ord_le527798542nres_b @ SV184 @ SV212 ) )
| ( ord_le527798542nres_b @ ( if_Ref1732808808nres_b @ $false @ SV87 @ SV184 ) @ ( if_Ref1732808808nres_b @ $false @ SV142 @ SV212 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1019]) ).
thf(1112,plain,
! [SV88: refine432681134nres_b,SV22: refine432681134nres_b,SV143: refine432681134nres_b] :
( ( ( ord_le527798542nres_b @ SV143 @ SV22 )
= $false )
| ( ( ord_le527798542nres_b @ SV143 @ SV88 )
= $true )
| ( ( ord_le527798542nres_b @ SV22 @ SV88 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1020]) ).
thf(1113,plain,
! [SV89: set_Product_prod_b_b,SV23: refine432681134nres_b,SV185: refine432681134nres_b,SV144: refine432681134nres_b] :
( ( ( ~ ( ord_le527798542nres_b @ SV144 @ SV185 ) )
= $true )
| ( ( ord_le527798542nres_b @ SV23 @ ( refine122110613un_b_b @ SV89 @ SV185 ) )
= $true )
| ( ( ord_le527798542nres_b @ SV23 @ ( refine122110613un_b_b @ SV89 @ SV144 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1021]) ).
thf(1114,plain,
! [SV26: refine432681134nres_b,SV145: refine432681134nres_b,SV92: refine432681134nres_b] :
( ( ( ord_le527798542nres_b @ SV92 @ SV145 )
= $false )
| ( ( ord_le527798542nres_b @ SV26 @ SV145 )
= $true )
| ( ( SV26 = SV92 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1023]) ).
thf(1115,plain,
! [SV93: refine424419629nres_a,SV27: refine424419629nres_a > $o] :
( ( ( SV27 @ ( refine1198353288_RES_a @ ( sK10_SY275 @ SV93 @ SV27 ) ) )
= $false )
| ( ( SV27 @ SV93 )
= $true )
| ( ( SV27 @ refine464223677AILi_a )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1024]) ).
thf(1116,plain,
! [SV30: refine424419629nres_a,SV147: a > $o,SV95: a > $o] :
( ( ( ! [SY547: a] :
( ~ ( SV95 @ SY547 )
| ( SV147 @ SY547 ) ) )
= $false )
| ( ( ord_le519537037nres_a @ SV30 @ ( refine1198353288_RES_a @ ( collect_a @ SV147 ) ) )
= $true )
| ( ( ord_le519537037nres_a @ SV30 @ ( refine1198353288_RES_a @ ( collect_a @ SV95 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1025]) ).
thf(1117,plain,
! [SV148: refine424419629nres_a,SV96: refine424419629nres_a,SV31: refine424419629nres_a > refine424419629nres_a > $o] :
( ( ( ~ ! [SY284: set_a] : ( SV31 @ ( refine1198353288_RES_a @ SY284 ) @ refine464223677AILi_a ) )
= $true )
| ( ( ~ ! [SY285: set_a,SY286: set_a] : ( SV31 @ ( refine1198353288_RES_a @ SY285 ) @ ( refine1198353288_RES_a @ SY286 ) )
| ( SV31 @ SV96 @ SV148 ) )
= $true )
| ( ( SV31 @ refine464223677AILi_a @ ( sK4_SY283 @ SV148 @ SV96 @ SV31 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1026]) ).
thf(1118,plain,
! [SV97: a > $o,SV32: a > $o] :
( ( ( ~ ( ( SV32 @ ( sK1_SY442 @ SV97 @ SV32 ) )
| ( SV97 @ ( sK1_SY442 @ SV97 @ SV32 ) ) ) )
= $false )
| ( ( ( collect_a @ SV32 )
= ( collect_a @ SV97 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1027]) ).
thf(1119,plain,
! [SV97: a > $o,SV32: a > $o] :
( ( ( ~ ( ~ ( SV32 @ ( sK1_SY442 @ SV97 @ SV32 ) )
| ~ ( SV97 @ ( sK1_SY442 @ SV97 @ SV32 ) ) ) )
= $false )
| ( ( ( collect_a @ SV32 )
= ( collect_a @ SV97 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1027]) ).
thf(1120,plain,
! [SV33: refine432681134nres_b,SV186: refine432681134nres_b,SV149: refine432681134nres_b,SV98: refine432681134nres_b] :
( ( ( ~ ( ord_le527798542nres_b @ SV98 @ SV149 ) )
= $true )
| ( ( ( SV149 != SV186 )
| ( ord_le527798542nres_b @ SV33 @ SV186 ) )
= $true )
| ( ( SV33 = SV98 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1029]) ).
thf(1121,plain,
! [SV34: refine432681134nres_b,SV187: refine424419629nres_a,SV99: refine432681134nres_b,SV150: refine432681134nres_b > refine424419629nres_a] :
( ( ( ( SV150 @ SV99 )
!= SV187 )
= $true )
| ( ( ~ ! [SY554: refine432681134nres_b,SY555: refine432681134nres_b] :
( ~ ( ord_le527798542nres_b @ SY554 @ SY555 )
| ( ord_le519537037nres_a @ ( SV150 @ SY554 ) @ ( SV150 @ SY555 ) ) )
| ( ord_le519537037nres_a @ ( SV150 @ SV34 ) @ SV187 ) )
= $true )
| ( ( ord_le527798542nres_b @ SV34 @ SV99 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1030]) ).
thf(1122,plain,
! [SV35: refine432681134nres_b,SV188: refine432681134nres_b,SV100: refine432681134nres_b,SV151: refine432681134nres_b > refine432681134nres_b] :
( ( ( ( SV151 @ SV100 )
!= SV188 )
= $true )
| ( ( ~ ! [SY557: refine432681134nres_b,SY558: refine432681134nres_b] :
( ~ ( ord_le527798542nres_b @ SY557 @ SY558 )
| ( ord_le527798542nres_b @ ( SV151 @ SY557 ) @ ( SV151 @ SY558 ) ) )
| ( ord_le527798542nres_b @ ( SV151 @ SV35 ) @ SV188 ) )
= $true )
| ( ( ord_le527798542nres_b @ SV35 @ SV100 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1031]) ).
thf(1123,plain,
! [SV36: refine432681134nres_b,SV152: refine432681134nres_b,SV101: refine432681134nres_b] :
( ( ( ord_le527798542nres_b @ SV101 @ SV152 )
= $false )
| ( ( ord_le527798542nres_b @ SV36 @ SV152 )
= $true )
| ( ( ord_le527798542nres_b @ SV36 @ SV101 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1032]) ).
thf(1124,plain,
! [SV102: refine432681134nres_b,SV153: refine432681134nres_b,SV189: refine432681134nres_b,SV37: $o] :
( ( ( ~ SV37 ) = $false )
| ( ( ~ ( ~ ~ SV37
| ( ord_le527798542nres_b @ SV189 @ SV153 ) )
| ( ord_le527798542nres_b @ ( if_Ref1732808808nres_b @ SV37 @ SV102 @ SV189 ) @ SV153 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1033]) ).
thf(1125,plain,
! [SV189: refine432681134nres_b,SV37: $o,SV153: refine432681134nres_b,SV102: refine432681134nres_b] :
( ( ( ord_le527798542nres_b @ SV102 @ SV153 )
= $false )
| ( ( ~ ( ~ ~ SV37
| ( ord_le527798542nres_b @ SV189 @ SV153 ) )
| ( ord_le527798542nres_b @ ( if_Ref1732808808nres_b @ SV37 @ SV102 @ SV189 ) @ SV153 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1033]) ).
thf(1126,plain,
! [SV103: refine432681134nres_b,SV154: refine432681134nres_b,SV190: refine432681134nres_b] :
( ( ( ~ $true ) = $false )
| ( ( ~ ( ~ ~ $true
| ( ord_le527798542nres_b @ SV190 @ SV154 ) )
| ( ord_le527798542nres_b @ ( if_Ref1732808808nres_b @ $true @ SV103 @ SV190 ) @ SV154 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1034]) ).
thf(1127,plain,
! [SV190: refine432681134nres_b,SV154: refine432681134nres_b,SV103: refine432681134nres_b] :
( ( ( ord_le527798542nres_b @ SV103 @ SV154 )
= $false )
| ( ( ~ ( ~ ~ $true
| ( ord_le527798542nres_b @ SV190 @ SV154 ) )
| ( ord_le527798542nres_b @ ( if_Ref1732808808nres_b @ $true @ SV103 @ SV190 ) @ SV154 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1034]) ).
thf(1128,plain,
! [SV104: refine432681134nres_b,SV155: refine432681134nres_b,SV191: refine432681134nres_b] :
( ( ( ~ $false ) = $false )
| ( ( ~ ( ~ ~ $false
| ( ord_le527798542nres_b @ SV191 @ SV155 ) )
| ( ord_le527798542nres_b @ ( if_Ref1732808808nres_b @ $false @ SV104 @ SV191 ) @ SV155 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1035]) ).
thf(1129,plain,
! [SV191: refine432681134nres_b,SV155: refine432681134nres_b,SV104: refine432681134nres_b] :
( ( ( ord_le527798542nres_b @ SV104 @ SV155 )
= $false )
| ( ( ~ ( ~ ~ $false
| ( ord_le527798542nres_b @ SV191 @ SV155 ) )
| ( ord_le527798542nres_b @ ( if_Ref1732808808nres_b @ $false @ SV104 @ SV191 ) @ SV155 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1035]) ).
thf(1130,plain,
! [SV156: refine424419629nres_a,SV105: refine424419629nres_a,SV38: refine424419629nres_a > refine424419629nres_a > $o] :
( ( ( ~ ! [SY310: set_a,SY311: set_a] : ( SV38 @ ( refine1198353288_RES_a @ SY310 ) @ ( refine1198353288_RES_a @ SY311 ) ) )
= $true )
| ( ( ~ ! [SY312: set_a] : ( SV38 @ refine464223677AILi_a @ ( refine1198353288_RES_a @ SY312 ) )
| ( SV38 @ SV105 @ SV156 ) )
= $true )
| ( ( SV38 @ ( sK5_SY309 @ SV156 @ SV105 @ SV38 ) @ refine464223677AILi_a )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1036]) ).
thf(1131,plain,
! [SV213: a > refine432681134nres_b,SV192: set_Product_prod_b_b,SV157: refine432681134nres_b,SV106: a,SV39: a > $o] :
( ( ( SV39 @ SV106 )
= $false )
| ( ( ~ ( ord_le527798542nres_b @ SV157 @ ( refine122110613un_b_b @ SV192 @ ( SV213 @ SV106 ) ) )
| ( ord_le527798542nres_b @ SV157 @ ( refine122110613un_b_b @ SV192 @ ( refine436832839nd_a_b @ ( refine1198353288_RES_a @ ( collect_a @ SV39 ) ) @ SV213 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1037]) ).
thf(1132,plain,
! [SV40: refine432681134nres_b,SV193: refine432681134nres_b,SV107: refine432681134nres_b,SV158: refine432681134nres_b > refine432681134nres_b] :
( ( ( ~ ( ord_le527798542nres_b @ ( SV158 @ SV107 ) @ SV193 ) )
= $true )
| ( ( ~ ! [SY569: refine432681134nres_b,SY570: refine432681134nres_b] :
( ~ ( ord_le527798542nres_b @ SY569 @ SY570 )
| ( ord_le527798542nres_b @ ( SV158 @ SY569 ) @ ( SV158 @ SY570 ) ) )
| ( ord_le527798542nres_b @ ( SV158 @ SV40 ) @ SV193 ) )
= $true )
| ( ( ord_le527798542nres_b @ SV40 @ SV107 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1038]) ).
thf(1133,plain,
! [SV41: refine432681134nres_b,SV108: refine424419629nres_a > refine432681134nres_b,SV194: refine424419629nres_a,SV159: refine424419629nres_a] :
( ( ( ~ ( ord_le519537037nres_a @ SV159 @ SV194 ) )
= $true )
| ( ( ~ ! [SY474: refine424419629nres_a,SY475: refine424419629nres_a] :
( ~ ( ord_le519537037nres_a @ SY474 @ SY475 )
| ( ord_le527798542nres_b @ ( SV108 @ SY474 ) @ ( SV108 @ SY475 ) ) )
| ( ord_le527798542nres_b @ SV41 @ ( SV108 @ SV194 ) ) )
= $true )
| ( ( ord_le527798542nres_b @ SV41 @ ( SV108 @ SV159 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1039]) ).
thf(1134,plain,
! [SV43: refine432681134nres_b,SV195: refine432681134nres_b,SV110: refine432681134nres_b,SV160: set_Product_prod_b_b] :
( ( ( ~ ( ord_le527798542nres_b @ ( refine1964549110un_b_b @ SV160 @ SV110 ) @ SV195 ) )
= $true )
| ( ( ord_le527798542nres_b @ ( refine1964549110un_b_b @ SV160 @ SV43 ) @ SV195 )
= $true )
| ( ( ord_le527798542nres_b @ SV43 @ SV110 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1040]) ).
thf(1135,plain,
! [SV196: refine432681134nres_b,SV111: refine432681134nres_b] :
( ( ( ( SV111 = SV196 )
| ~ ( ~ ( ord_le527798542nres_b @ SV111 @ SV196 )
| ~ ( ord_le527798542nres_b @ SV196 @ SV111 ) ) )
= $false )
| ( ( ~ ( ( SV111 != SV196 )
| ~ ~ ( ~ ( ord_le527798542nres_b @ SV111 @ SV196 )
| ~ ( ord_le527798542nres_b @ SV196 @ SV111 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1041]) ).
thf(1136,plain,
! [SV45: refine432681134nres_b,SV162: refine432681134nres_b,SV112: refine432681134nres_b] :
( ( ( ord_le527798542nres_b @ SV112 @ SV162 )
= $false )
| ( ( ord_le527798542nres_b @ SV45 @ SV162 )
= $true )
| ( ( ord_le527798542nres_b @ SV45 @ SV112 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1042]) ).
thf(1137,plain,
! [SV46: refine424419629nres_a,SV163: a > $o,SV113: refine424419629nres_a] :
( ( ( ord_le519537037nres_a @ SV113 @ ( refine1198353288_RES_a @ ( collect_a @ SV163 ) ) )
= $false )
| ( ( ord_le519537037nres_a @ SV46 @ ( refine1198353288_RES_a @ ( collect_a @ SV163 ) ) )
= $true )
| ( ( ord_le519537037nres_a @ SV46 @ SV113 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1043]) ).
thf(1138,plain,
! [SV115: a > $o,SV48: a > $o] :
( ( ( SV48 @ ( sK2_SY482 @ SV115 @ SV48 ) )
= $true )
| ( ( ord_less_eq_set_a @ ( collect_a @ SV48 ) @ ( collect_a @ SV115 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1045]) ).
thf(1139,plain,
! [SV49: refine424419629nres_a,SV116: refine432681134nres_b > refine424419629nres_a,SV197: refine432681134nres_b,SV164: refine432681134nres_b] :
( ( ( ~ ( ord_le527798542nres_b @ SV164 @ SV197 ) )
= $true )
| ( ( ~ ! [SY485: refine432681134nres_b,SY486: refine432681134nres_b] :
( ~ ( ord_le527798542nres_b @ SY485 @ SY486 )
| ( ord_le519537037nres_a @ ( SV116 @ SY485 ) @ ( SV116 @ SY486 ) ) )
| ( ord_le519537037nres_a @ SV49 @ ( SV116 @ SV197 ) ) )
= $true )
| ( ( ord_le519537037nres_a @ SV49 @ ( SV116 @ SV164 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1047]) ).
thf(1140,plain,
! [SV50: refine432681134nres_b,SV117: refine432681134nres_b > refine432681134nres_b,SV198: refine432681134nres_b,SV165: refine432681134nres_b] :
( ( ( ~ ( ord_le527798542nres_b @ SV165 @ SV198 ) )
= $true )
| ( ( ~ ! [SY489: refine432681134nres_b,SY490: refine432681134nres_b] :
( ~ ( ord_le527798542nres_b @ SY489 @ SY490 )
| ( ord_le527798542nres_b @ ( SV117 @ SY489 ) @ ( SV117 @ SY490 ) ) )
| ( ord_le527798542nres_b @ SV50 @ ( SV117 @ SV198 ) ) )
= $true )
| ( ( SV50
= ( SV117 @ SV165 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1048]) ).
thf(1141,plain,
! [SV118: set_a,SV51: a,SV199: a > refine432681134nres_b,SV166: refine432681134nres_b] :
( ( ( ~ ( ord_le527798542nres_b @ SV166 @ ( SV199 @ SV51 ) ) )
= $true )
| ( ( ord_le527798542nres_b @ SV166 @ ( refine436832839nd_a_b @ ( refine1198353288_RES_a @ SV118 ) @ SV199 ) )
= $true )
| ( ( member_a @ SV51 @ SV118 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1049]) ).
thf(1142,plain,
! [SV214: $o,SV200: refine432681134nres_b,SV167: refine432681134nres_b,SV119: refine432681134nres_b,SV52: refine432681134nres_b] :
( ( ( ord_le527798542nres_b @ SV52 @ SV119 )
= $false )
| ( ( ~ ( ord_le527798542nres_b @ SV167 @ SV200 )
| ( ord_le527798542nres_b @ ( if_Ref1732808808nres_b @ SV214 @ SV52 @ SV167 ) @ ( if_Ref1732808808nres_b @ SV214 @ SV119 @ SV200 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1050]) ).
thf(1143,plain,
! [SV200: refine432681134nres_b,SV167: refine432681134nres_b,SV119: refine432681134nres_b,SV52: refine432681134nres_b] :
( ( ( ord_le527798542nres_b @ SV52 @ SV119 )
= $false )
| ( ( ~ ( ord_le527798542nres_b @ SV167 @ SV200 )
| ( ord_le527798542nres_b @ ( if_Ref1732808808nres_b @ $true @ SV52 @ SV167 ) @ ( if_Ref1732808808nres_b @ $true @ SV119 @ SV200 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1051]) ).
thf(1144,plain,
! [SV200: refine432681134nres_b,SV167: refine432681134nres_b,SV119: refine432681134nres_b,SV52: refine432681134nres_b] :
( ( ( ord_le527798542nres_b @ SV52 @ SV119 )
= $false )
| ( ( ~ ( ord_le527798542nres_b @ SV167 @ SV200 )
| ( ord_le527798542nres_b @ ( if_Ref1732808808nres_b @ $false @ SV52 @ SV167 ) @ ( if_Ref1732808808nres_b @ $false @ SV119 @ SV200 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1052]) ).
thf(1145,plain,
! [SV53: refine424419629nres_a] :
( ( ( SV53
= ( refine1198353288_RES_a @ ( sK6_SY357 @ SV53 ) ) )
= $true )
| ( ( SV53 = top_to231829469nres_a )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1053]) ).
thf(1146,plain,
! [SV201: refine432681134nres_b,SV120: refine432681134nres_b] :
( ( ( ( SV120 = SV201 )
| ~ ( ~ ( ord_le527798542nres_b @ SV120 @ SV201 )
| ~ ( ord_le527798542nres_b @ SV201 @ SV120 ) ) )
= $false )
| ( ( ~ ( ( SV120 != SV201 )
| ~ ~ ( ~ ( ord_le527798542nres_b @ SV120 @ SV201 )
| ~ ( ord_le527798542nres_b @ SV201 @ SV120 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1054]) ).
thf(1147,plain,
! [SV55: refine432681134nres_b,SV169: refine432681134nres_b,SV121: refine432681134nres_b] :
( ( ( SV121 = SV169 )
= $false )
| ( ( ord_le527798542nres_b @ SV55 @ SV169 )
= $true )
| ( ( ord_le527798542nres_b @ SV55 @ SV121 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1055]) ).
thf(1148,plain,
! [SV122: a > $o,SV56: a > $o] :
( ( ( SV56 @ ( sK3_SY499 @ SV122 @ SV56 ) )
= $true )
| ( ( ord_le519537037nres_a @ ( refine1198353288_RES_a @ ( collect_a @ SV56 ) ) @ ( refine1198353288_RES_a @ ( collect_a @ SV122 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1056]) ).
thf(1149,plain,
! [SV123: refine424419629nres_a] :
( ( ( ~ ( refine412683989fail_a @ SV123 )
| ~ ~ ! [SY500: set_a] :
( SV123
!= ( refine1198353288_RES_a @ SY500 ) ) )
= $false )
| ( ( refine412683989fail_a @ SV123 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1058]) ).
thf(1150,plain,
! [SV123: refine424419629nres_a] :
( ( ( ! [SY500: set_a] :
( SV123
!= ( refine1198353288_RES_a @ SY500 ) ) )
= $true )
| ( ( ~ ( ~ ( refine412683989fail_a @ SV123 )
| ~ ~ ! [SY500: set_a] :
( SV123
!= ( refine1198353288_RES_a @ SY500 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1059]) ).
thf(1151,plain,
! [SV59: refine424419629nres_a,SV202: refine432681134nres_b,SV124: refine424419629nres_a,SV170: refine424419629nres_a > refine432681134nres_b] :
( ( ( ( SV170 @ SV124 )
!= SV202 )
= $true )
| ( ( ~ ! [SY585: refine424419629nres_a,SY586: refine424419629nres_a] :
( ~ ( ord_le519537037nres_a @ SY585 @ SY586 )
| ( ord_le527798542nres_b @ ( SV170 @ SY585 ) @ ( SV170 @ SY586 ) ) )
| ( ord_le527798542nres_b @ ( SV170 @ SV59 ) @ SV202 ) )
= $true )
| ( ( ord_le519537037nres_a @ SV59 @ SV124 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1060]) ).
thf(1152,plain,
! [SV60: refine432681134nres_b,SV125: refine432681134nres_b > refine432681134nres_b,SV203: refine432681134nres_b,SV171: refine432681134nres_b] :
( ( ( ~ ( ord_le527798542nres_b @ SV171 @ SV203 ) )
= $true )
| ( ( ~ ! [SY507: refine432681134nres_b,SY508: refine432681134nres_b] :
( ~ ( ord_le527798542nres_b @ SY507 @ SY508 )
| ( ord_le527798542nres_b @ ( SV125 @ SY507 ) @ ( SV125 @ SY508 ) ) )
| ( ord_le527798542nres_b @ SV60 @ ( SV125 @ SV203 ) ) )
= $true )
| ( ( ord_le527798542nres_b @ SV60 @ ( SV125 @ SV171 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1061]) ).
thf(1153,plain,
! [SV172: refine424419629nres_a,SV126: refine424419629nres_a,SV61: refine424419629nres_a > refine424419629nres_a > $o] :
( ( ( ~ ! [SY378: set_a] : ( SV61 @ refine464223677AILi_a @ ( refine1198353288_RES_a @ SY378 ) ) )
= $true )
| ( ( ~ ! [SY379: set_a,SY380: set_a] : ( SV61 @ ( refine1198353288_RES_a @ SY379 ) @ ( refine1198353288_RES_a @ SY380 ) )
| ( SV61 @ SV126 @ SV172 ) )
= $true )
| ( ( SV61 @ ( sK7_SY377 @ SV172 @ SV126 @ SV61 ) @ refine464223677AILi_a )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1062]) ).
thf(1154,plain,
! [SV127: a > $o,SV62: a > $o] :
( ( ( ~ ( ord_less_eq_set_a @ ( collect_a @ SV62 ) @ ( collect_a @ SV127 ) )
| ~ ! [SY514: a] :
( ~ ( SV62 @ SY514 )
| ( SV127 @ SY514 ) ) )
= $false )
| ( ( ord_less_eq_set_a @ ( collect_a @ SV62 ) @ ( collect_a @ SV127 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1063]) ).
thf(1155,plain,
! [SV127: a > $o,SV62: a > $o] :
( ( ( ~ ( SV62 @ ( sK11_SY514 @ SV127 @ SV62 ) )
| ( SV127 @ ( sK11_SY514 @ SV127 @ SV62 ) ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ ( collect_a @ SV62 ) @ ( collect_a @ SV127 ) )
| ~ ! [SY514: a] :
( ~ ( SV62 @ SY514 )
| ( SV127 @ SY514 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1064]) ).
thf(1156,plain,
! [SV64: refine424419629nres_a] :
( ( ( SV64
= ( refine1198353288_RES_a @ ( sK8_SY383 @ SV64 ) ) )
= $true )
| ( ( SV64 = refine464223677AILi_a )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1065]) ).
thf(1157,plain,
! [SV65: refine424419629nres_a,SV128: refine432681134nres_b > refine424419629nres_a,SV204: refine432681134nres_b,SV173: refine432681134nres_b] :
( ( ( ~ ( ord_le527798542nres_b @ SV173 @ SV204 ) )
= $true )
| ( ( ~ ! [SY517: refine432681134nres_b,SY518: refine432681134nres_b] :
( ~ ( ord_le527798542nres_b @ SY517 @ SY518 )
| ( ord_le519537037nres_a @ ( SV128 @ SY517 ) @ ( SV128 @ SY518 ) ) )
| ( ord_le519537037nres_a @ SV65 @ ( SV128 @ SV204 ) ) )
= $true )
| ( ( SV65
= ( SV128 @ SV173 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1066]) ).
thf(1158,plain,
! [SV130: refine432681134nres_b,SV175: b,SV67: refine432681134nres_b] :
( ( ( refine1001002028nres_b @ SV67 @ SV175 )
= $false )
| ( ( refine1001002028nres_b @ SV130 @ SV175 )
= $true )
| ( ( ord_le527798542nres_b @ SV67 @ SV130 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1067]) ).
thf(1159,plain,
! [SV205: refine432681134nres_b,SV131: refine432681134nres_b] :
( ( ( ( SV131 = SV205 )
| ~ ( ~ ( ord_le527798542nres_b @ SV205 @ SV131 )
| ~ ( ord_le527798542nres_b @ SV131 @ SV205 ) ) )
= $false )
| ( ( ~ ( ( SV131 != SV205 )
| ~ ~ ( ~ ( ord_le527798542nres_b @ SV205 @ SV131 )
| ~ ( ord_le527798542nres_b @ SV131 @ SV205 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1068]) ).
thf(1160,plain,
! [SV69: refine424419629nres_a,SV206: refine432681134nres_b,SV132: refine424419629nres_a,SV177: refine424419629nres_a > refine432681134nres_b] :
( ( ( ~ ( ord_le527798542nres_b @ ( SV177 @ SV132 ) @ SV206 ) )
= $true )
| ( ( ~ ! [SY598: refine424419629nres_a,SY599: refine424419629nres_a] :
( ~ ( ord_le519537037nres_a @ SY598 @ SY599 )
| ( ord_le527798542nres_b @ ( SV177 @ SY598 ) @ ( SV177 @ SY599 ) ) )
| ( ord_le527798542nres_b @ ( SV177 @ SV69 ) @ SV206 ) )
= $true )
| ( ( ord_le519537037nres_a @ SV69 @ SV132 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1069]) ).
thf(1161,plain,
! [SV178: refine432681134nres_b > $o,SV133: refine432681134nres_b,SV70: refine432681134nres_b > $o] :
( ( ( ! [SY528: refine432681134nres_b] :
( ~ ( SV70 @ SY528 )
| ( ord_le527798542nres_b @ SY528 @ SV133 ) ) )
= $false )
| ( ( ~ ! [SY601: refine432681134nres_b] :
( ~ ( SV70 @ SY601 )
| ~ ! [SY404: refine432681134nres_b] :
( ~ ( SV70 @ SY404 )
| ( ord_le527798542nres_b @ SY404 @ SY601 ) )
| ( SV178 @ SY601 ) )
| ( SV178 @ ( order_1722590613nres_b @ SV70 ) ) )
= $true )
| ( ( SV70 @ SV133 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1070]) ).
thf(1162,plain,
! [SV72: refine432681134nres_b,SV135: refine424419629nres_a > refine432681134nres_b,SV207: refine424419629nres_a,SV179: refine424419629nres_a] :
( ( ( ~ ( ord_le519537037nres_a @ SV179 @ SV207 ) )
= $true )
| ( ( ~ ! [SY533: refine424419629nres_a,SY534: refine424419629nres_a] :
( ~ ( ord_le519537037nres_a @ SY533 @ SY534 )
| ( ord_le527798542nres_b @ ( SV135 @ SY533 ) @ ( SV135 @ SY534 ) ) )
| ( ord_le527798542nres_b @ SV72 @ ( SV135 @ SV207 ) ) )
= $true )
| ( ( SV72
= ( SV135 @ SV179 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1072]) ).
thf(1163,plain,
! [SV74: refine432681134nres_b,SV208: refine424419629nres_a,SV137: refine432681134nres_b,SV180: refine432681134nres_b > refine424419629nres_a] :
( ( ( ~ ( ord_le519537037nres_a @ ( SV180 @ SV137 ) @ SV208 ) )
= $true )
| ( ( ~ ! [SY607: refine432681134nres_b,SY608: refine432681134nres_b] :
( ~ ( ord_le527798542nres_b @ SY607 @ SY608 )
| ( ord_le519537037nres_a @ ( SV180 @ SY607 ) @ ( SV180 @ SY608 ) ) )
| ( ord_le519537037nres_a @ ( SV180 @ SV74 ) @ SV208 ) )
= $true )
| ( ( ord_le527798542nres_b @ SV74 @ SV137 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1074]) ).
thf(1164,plain,
! [SV209: $o > refine432681134nres_b,SV139: $o > refine432681134nres_b] :
( ( ( ( ord_le1656162903nres_b @ SV139 @ SV209 )
| ~ ( ~ ( ord_le527798542nres_b @ ( SV139 @ $false ) @ ( SV209 @ $false ) )
| ~ ( ord_le527798542nres_b @ ( SV139 @ $true ) @ ( SV209 @ $true ) ) ) )
= $false )
| ( ( ~ ( ~ ( ord_le1656162903nres_b @ SV139 @ SV209 )
| ~ ~ ( ~ ( ord_le527798542nres_b @ ( SV139 @ $false ) @ ( SV209 @ $false ) )
| ~ ( ord_le527798542nres_b @ ( SV139 @ $true ) @ ( SV209 @ $true ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1076]) ).
thf(1165,plain,
! [SV77: set_a,SV1: set_a] :
( ( ( ( refine1198353288_RES_a @ SV1 )
!= ( refine1198353288_RES_a @ SV77 ) )
= $false )
| ( ( ( refine1198353288_RES_a @ SV1 )
= ( refine1198353288_RES_a @ SV77 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1077]) ).
thf(1166,plain,
! [SV77: set_a,SV1: set_a] :
( ( ( SV1 != SV77 )
= $false )
| ( ( ( refine1198353288_RES_a @ SV1 )
= ( refine1198353288_RES_a @ SV77 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1077]) ).
thf(1167,plain,
! [SV77: set_a,SV1: set_a] :
( ( ( ( refine1198353288_RES_a @ SV1 )
!= ( refine1198353288_RES_a @ SV77 ) )
= $false )
| ( ( SV1 = SV77 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1078]) ).
thf(1168,plain,
! [SV77: set_a,SV1: set_a] :
( ( ( SV1 != SV77 )
= $false )
| ( ( SV1 = SV77 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1078]) ).
thf(1169,plain,
! [SV78: set_a,SV2: set_a] :
( ( ( ( refine1198353288_RES_a @ SV2 )
!= ( refine1198353288_RES_a @ SV78 ) )
= $false )
| ( ( ( refine1198353288_RES_a @ SV2 )
= ( refine1198353288_RES_a @ SV78 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1079]) ).
thf(1170,plain,
! [SV78: set_a,SV2: set_a] :
( ( ( SV2 != SV78 )
= $false )
| ( ( ( refine1198353288_RES_a @ SV2 )
= ( refine1198353288_RES_a @ SV78 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1079]) ).
thf(1171,plain,
! [SV78: set_a,SV2: set_a] :
( ( ( ( refine1198353288_RES_a @ SV2 )
!= ( refine1198353288_RES_a @ SV78 ) )
= $false )
| ( ( SV2 = SV78 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1080]) ).
thf(1172,plain,
! [SV78: set_a,SV2: set_a] :
( ( ( SV2 != SV78 )
= $false )
| ( ( SV2 = SV78 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1080]) ).
thf(1173,plain,
! [SV79: a,SV5: a > $o] :
( ( ( ~ ( refine1312857699nres_a @ ( refine1198353288_RES_a @ ( collect_a @ SV5 ) ) @ SV79 ) )
= $false )
| ( ( refine1312857699nres_a @ ( refine1198353288_RES_a @ ( collect_a @ SV5 ) ) @ SV79 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1081]) ).
thf(1174,plain,
! [SV79: a,SV5: a > $o] :
( ( ( ~ ( SV5 @ SV79 ) )
= $false )
| ( ( refine1312857699nres_a @ ( refine1198353288_RES_a @ ( collect_a @ SV5 ) ) @ SV79 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1081]) ).
thf(1175,plain,
! [SV79: a,SV5: a > $o] :
( ( ( ~ ( refine1312857699nres_a @ ( refine1198353288_RES_a @ ( collect_a @ SV5 ) ) @ SV79 ) )
= $false )
| ( ( SV5 @ SV79 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1082]) ).
thf(1176,plain,
! [SV79: a,SV5: a > $o] :
( ( ( ~ ( SV5 @ SV79 ) )
= $false )
| ( ( SV5 @ SV79 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1082]) ).
thf(1177,plain,
! [SV80: a > $o,SV7: a] :
( ( ( ~ ( member_a @ SV7 @ ( collect_a @ SV80 ) ) )
= $false )
| ( ( member_a @ SV7 @ ( collect_a @ SV80 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1083]) ).
thf(1178,plain,
! [SV7: a,SV80: a > $o] :
( ( ( ~ ( SV80 @ SV7 ) )
= $false )
| ( ( member_a @ SV7 @ ( collect_a @ SV80 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1083]) ).
thf(1179,plain,
! [SV80: a > $o,SV7: a] :
( ( ( ~ ( member_a @ SV7 @ ( collect_a @ SV80 ) ) )
= $false )
| ( ( SV80 @ SV7 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1084]) ).
thf(1180,plain,
! [SV7: a,SV80: a > $o] :
( ( ( ~ ( SV80 @ SV7 ) )
= $false )
| ( ( SV80 @ SV7 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1084]) ).
thf(1181,plain,
! [SV81: b,SV11: b] :
( ( ( ~ ( ord_le527798542nres_b @ ( refine2063221605TURN_b @ SV11 ) @ ( refine2063221605TURN_b @ SV81 ) ) )
= $false )
| ( ( ord_le527798542nres_b @ ( refine2063221605TURN_b @ SV11 ) @ ( refine2063221605TURN_b @ SV81 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1085]) ).
thf(1182,plain,
! [SV81: b,SV11: b] :
( ( ( SV11 != SV81 )
= $false )
| ( ( ord_le527798542nres_b @ ( refine2063221605TURN_b @ SV11 ) @ ( refine2063221605TURN_b @ SV81 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1085]) ).
thf(1183,plain,
! [SV81: b,SV11: b] :
( ( ( ~ ( ord_le527798542nres_b @ ( refine2063221605TURN_b @ SV11 ) @ ( refine2063221605TURN_b @ SV81 ) ) )
= $false )
| ( ( SV11 = SV81 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1086]) ).
thf(1184,plain,
! [SV81: b,SV11: b] :
( ( ( SV11 != SV81 )
= $false )
| ( ( SV11 = SV81 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1086]) ).
thf(1185,plain,
! [SV14: refine432681134nres_b] :
( ( ( ord_le527798542nres_b @ top_to240090974nres_b @ SV14 )
= $true )
| ( ( ord_le527798542nres_b @ top_to240090974nres_b @ SV14 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1087]) ).
thf(1186,plain,
! [SV14: refine432681134nres_b] :
( ( ( SV14 = top_to240090974nres_b )
= $true )
| ( ( ord_le527798542nres_b @ top_to240090974nres_b @ SV14 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1088]) ).
thf(1187,plain,
! [SV14: refine432681134nres_b] :
( ( ( ord_le527798542nres_b @ top_to240090974nres_b @ SV14 )
= $true )
| ( ( SV14 = top_to240090974nres_b )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1089]) ).
thf(1188,plain,
! [SV14: refine432681134nres_b] :
( ( ( SV14 = top_to240090974nres_b )
= $true )
| ( ( SV14 = top_to240090974nres_b )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1090]) ).
thf(1189,plain,
! [SV16: refine432681134nres_b] :
( ( ( ord_le527798542nres_b @ top_to240090974nres_b @ SV16 )
= $true )
| ( ( ord_le527798542nres_b @ top_to240090974nres_b @ SV16 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1091]) ).
thf(1190,plain,
! [SV16: refine432681134nres_b] :
( ( ( SV16 = top_to240090974nres_b )
= $true )
| ( ( ord_le527798542nres_b @ top_to240090974nres_b @ SV16 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1092]) ).
thf(1191,plain,
! [SV16: refine432681134nres_b] :
( ( ( ord_le527798542nres_b @ top_to240090974nres_b @ SV16 )
= $true )
| ( ( SV16 = top_to240090974nres_b )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1093]) ).
thf(1192,plain,
! [SV16: refine432681134nres_b] :
( ( ( SV16 = top_to240090974nres_b )
= $true )
| ( ( SV16 = top_to240090974nres_b )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1094]) ).
thf(1193,plain,
! [SV18: $o] :
( ( ( ~ SV18 ) = $false )
| ( SV18 = $false )
| ( ( SV18 = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1095]) ).
thf(1194,plain,
! [SV18: $o] :
( ( ( ~ $true ) = $false )
| ( SV18 = $false )
| ( ( SV18 = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1095]) ).
thf(1195,plain,
! [SV18: $o] :
( ( ( ~ SV18 ) = $false )
| ( $true = $false )
| ( ( SV18 = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1096]) ).
thf(1196,plain,
! [SV18: $o] :
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( ( SV18 = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1096]) ).
thf(1197,plain,
! [SV18: $o] :
( ( ( ~ SV18
| ~ $false )
= $false )
| ( SV18 = $false )
| ( ( SV18 = $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1097]) ).
thf(1198,plain,
! [SV18: $o] :
( ( ( ~ SV18
| ~ $false )
= $false )
| ( $false = $false )
| ( ( SV18 = $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1098]) ).
thf(1199,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1099]) ).
thf(1200,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1099]) ).
thf(1201,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1100]) ).
thf(1202,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1100]) ).
thf(1203,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $true = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1101]) ).
thf(1204,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $false = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1102]) ).
thf(1205,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1103]) ).
thf(1206,plain,
( ( ( ~ $true ) = $false )
| ( $false = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1103]) ).
thf(1207,plain,
( ( ( ~ $false ) = $false )
| ( $true = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1104]) ).
thf(1208,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1104]) ).
thf(1209,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1105]) ).
thf(1210,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1106]) ).
thf(1211,plain,
! [SV19: refine432681134nres_b,SV83: refine432681134nres_b] :
( ( ( ord_le527798542nres_b @ SV83 @ SV19 )
= $false )
| ( ( ~ ( ~ ( ord_le527798542nres_b @ SV83 @ SV19 )
| ( SV83 != SV19 ) ) )
= $true )
| ( ( ord_le527798542nres_b @ SV19 @ SV83 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1107]) ).
thf(1212,plain,
! [SV19: refine432681134nres_b,SV83: refine432681134nres_b] :
( ( ( SV83 = SV19 )
= $false )
| ( ( ~ ( ~ ( ord_le527798542nres_b @ SV83 @ SV19 )
| ( SV83 != SV19 ) ) )
= $true )
| ( ( ord_le527798542nres_b @ SV19 @ SV83 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1107]) ).
thf(1213,plain,
! [SV84: refine432681134nres_b,SV20: refine432681134nres_b > $o] :
( ( ( ~ ( SV20 @ ( sK9_SY419 @ SV84 @ SV20 ) ) )
= $false )
| ( ( ( order_1722590613nres_b @ SV20 )
= SV84 )
= $true )
| ( ( SV20 @ SV84 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1108]) ).
thf(1214,plain,
! [SV20: refine432681134nres_b > $o,SV84: refine432681134nres_b] :
( ( ( ord_le527798542nres_b @ ( sK9_SY419 @ SV84 @ SV20 ) @ SV84 )
= $false )
| ( ( ( order_1722590613nres_b @ SV20 )
= SV84 )
= $true )
| ( ( SV20 @ SV84 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1108]) ).
thf(1215,plain,
! [SV140: refine432681134nres_b,SV85: refine432681134nres_b,SV210: refine432681134nres_b,SV182: refine432681134nres_b,SV21: $o] :
( ( ( ~ SV21 ) = $false )
| ( ( ~ ( ~ ~ SV21
| ( ord_le527798542nres_b @ SV182 @ SV210 ) )
| ( ord_le527798542nres_b @ ( if_Ref1732808808nres_b @ SV21 @ SV85 @ SV182 ) @ ( if_Ref1732808808nres_b @ SV21 @ SV140 @ SV210 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1109]) ).
thf(1216,plain,
! [SV210: refine432681134nres_b,SV182: refine432681134nres_b,SV21: $o,SV140: refine432681134nres_b,SV85: refine432681134nres_b] :
( ( ( ord_le527798542nres_b @ SV85 @ SV140 )
= $false )
| ( ( ~ ( ~ ~ SV21
| ( ord_le527798542nres_b @ SV182 @ SV210 ) )
| ( ord_le527798542nres_b @ ( if_Ref1732808808nres_b @ SV21 @ SV85 @ SV182 ) @ ( if_Ref1732808808nres_b @ SV21 @ SV140 @ SV210 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1109]) ).
thf(1217,plain,
! [SV141: refine432681134nres_b,SV86: refine432681134nres_b,SV211: refine432681134nres_b,SV183: refine432681134nres_b] :
( ( ( ~ $true ) = $false )
| ( ( ~ ( ~ ~ $true
| ( ord_le527798542nres_b @ SV183 @ SV211 ) )
| ( ord_le527798542nres_b @ ( if_Ref1732808808nres_b @ $true @ SV86 @ SV183 ) @ ( if_Ref1732808808nres_b @ $true @ SV141 @ SV211 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1110]) ).
thf(1218,plain,
! [SV211: refine432681134nres_b,SV183: refine432681134nres_b,SV141: refine432681134nres_b,SV86: refine432681134nres_b] :
( ( ( ord_le527798542nres_b @ SV86 @ SV141 )
= $false )
| ( ( ~ ( ~ ~ $true
| ( ord_le527798542nres_b @ SV183 @ SV211 ) )
| ( ord_le527798542nres_b @ ( if_Ref1732808808nres_b @ $true @ SV86 @ SV183 ) @ ( if_Ref1732808808nres_b @ $true @ SV141 @ SV211 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1110]) ).
thf(1219,plain,
! [SV142: refine432681134nres_b,SV87: refine432681134nres_b,SV212: refine432681134nres_b,SV184: refine432681134nres_b] :
( ( ( ~ $false ) = $false )
| ( ( ~ ( ~ ~ $false
| ( ord_le527798542nres_b @ SV184 @ SV212 ) )
| ( ord_le527798542nres_b @ ( if_Ref1732808808nres_b @ $false @ SV87 @ SV184 ) @ ( if_Ref1732808808nres_b @ $false @ SV142 @ SV212 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1111]) ).
thf(1220,plain,
! [SV212: refine432681134nres_b,SV184: refine432681134nres_b,SV142: refine432681134nres_b,SV87: refine432681134nres_b] :
( ( ( ord_le527798542nres_b @ SV87 @ SV142 )
= $false )
| ( ( ~ ( ~ ~ $false
| ( ord_le527798542nres_b @ SV184 @ SV212 ) )
| ( ord_le527798542nres_b @ ( if_Ref1732808808nres_b @ $false @ SV87 @ SV184 ) @ ( if_Ref1732808808nres_b @ $false @ SV142 @ SV212 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1111]) ).
thf(1221,plain,
! [SV89: set_Product_prod_b_b,SV23: refine432681134nres_b,SV185: refine432681134nres_b,SV144: refine432681134nres_b] :
( ( ( ord_le527798542nres_b @ SV144 @ SV185 )
= $false )
| ( ( ord_le527798542nres_b @ SV23 @ ( refine122110613un_b_b @ SV89 @ SV185 ) )
= $true )
| ( ( ord_le527798542nres_b @ SV23 @ ( refine122110613un_b_b @ SV89 @ SV144 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1113]) ).
thf(1222,plain,
! [SV147: a > $o,SV30: refine424419629nres_a,SV95: a > $o] :
( ( ( ~ ( SV95 @ ( sK12_SY547 @ SV30 @ SV147 @ SV95 ) )
| ( SV147 @ ( sK12_SY547 @ SV30 @ SV147 @ SV95 ) ) )
= $false )
| ( ( ord_le519537037nres_a @ SV30 @ ( refine1198353288_RES_a @ ( collect_a @ SV147 ) ) )
= $true )
| ( ( ord_le519537037nres_a @ SV30 @ ( refine1198353288_RES_a @ ( collect_a @ SV95 ) ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1116]) ).
thf(1223,plain,
! [SV148: refine424419629nres_a,SV96: refine424419629nres_a,SV31: refine424419629nres_a > refine424419629nres_a > $o] :
( ( ( ! [SY284: set_a] : ( SV31 @ ( refine1198353288_RES_a @ SY284 ) @ refine464223677AILi_a ) )
= $false )
| ( ( ~ ! [SY285: set_a,SY286: set_a] : ( SV31 @ ( refine1198353288_RES_a @ SY285 ) @ ( refine1198353288_RES_a @ SY286 ) )
| ( SV31 @ SV96 @ SV148 ) )
= $true )
| ( ( SV31 @ refine464223677AILi_a @ ( sK4_SY283 @ SV148 @ SV96 @ SV31 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1117]) ).
thf(1224,plain,
! [SV97: a > $o,SV32: a > $o] :
( ( ( ( SV32 @ ( sK1_SY442 @ SV97 @ SV32 ) )
| ( SV97 @ ( sK1_SY442 @ SV97 @ SV32 ) ) )
= $true )
| ( ( ( collect_a @ SV32 )
= ( collect_a @ SV97 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1118]) ).
thf(1225,plain,
! [SV97: a > $o,SV32: a > $o] :
( ( ( ~ ( SV32 @ ( sK1_SY442 @ SV97 @ SV32 ) )
| ~ ( SV97 @ ( sK1_SY442 @ SV97 @ SV32 ) ) )
= $true )
| ( ( ( collect_a @ SV32 )
= ( collect_a @ SV97 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1119]) ).
thf(1226,plain,
! [SV33: refine432681134nres_b,SV186: refine432681134nres_b,SV149: refine432681134nres_b,SV98: refine432681134nres_b] :
( ( ( ord_le527798542nres_b @ SV98 @ SV149 )
= $false )
| ( ( ( SV149 != SV186 )
| ( ord_le527798542nres_b @ SV33 @ SV186 ) )
= $true )
| ( ( SV33 = SV98 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1120]) ).
thf(1227,plain,
! [SV34: refine432681134nres_b,SV187: refine424419629nres_a,SV99: refine432681134nres_b,SV150: refine432681134nres_b > refine424419629nres_a] :
( ( ( ( SV150 @ SV99 )
= SV187 )
= $false )
| ( ( ~ ! [SY554: refine432681134nres_b,SY555: refine432681134nres_b] :
( ~ ( ord_le527798542nres_b @ SY554 @ SY555 )
| ( ord_le519537037nres_a @ ( SV150 @ SY554 ) @ ( SV150 @ SY555 ) ) )
| ( ord_le519537037nres_a @ ( SV150 @ SV34 ) @ SV187 ) )
= $true )
| ( ( ord_le527798542nres_b @ SV34 @ SV99 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1121]) ).
thf(1228,plain,
! [SV35: refine432681134nres_b,SV188: refine432681134nres_b,SV100: refine432681134nres_b,SV151: refine432681134nres_b > refine432681134nres_b] :
( ( ( ( SV151 @ SV100 )
= SV188 )
= $false )
| ( ( ~ ! [SY557: refine432681134nres_b,SY558: refine432681134nres_b] :
( ~ ( ord_le527798542nres_b @ SY557 @ SY558 )
| ( ord_le527798542nres_b @ ( SV151 @ SY557 ) @ ( SV151 @ SY558 ) ) )
| ( ord_le527798542nres_b @ ( SV151 @ SV35 ) @ SV188 ) )
= $true )
| ( ( ord_le527798542nres_b @ SV35 @ SV100 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1122]) ).
thf(1229,plain,
! [SV102: refine432681134nres_b,SV153: refine432681134nres_b,SV189: refine432681134nres_b,SV37: $o] :
( ( SV37 = $true )
| ( ( ~ ( ~ ~ SV37
| ( ord_le527798542nres_b @ SV189 @ SV153 ) )
| ( ord_le527798542nres_b @ ( if_Ref1732808808nres_b @ SV37 @ SV102 @ SV189 ) @ SV153 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1124]) ).
thf(1230,plain,
! [SV102: refine432681134nres_b,SV153: refine432681134nres_b,SV189: refine432681134nres_b,SV37: $o] :
( ( ( ~ ( ~ ~ SV37
| ( ord_le527798542nres_b @ SV189 @ SV153 ) ) )
= $true )
| ( ( ord_le527798542nres_b @ ( if_Ref1732808808nres_b @ SV37 @ SV102 @ SV189 ) @ SV153 )
= $true )
| ( ( ord_le527798542nres_b @ SV102 @ SV153 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1125]) ).
thf(1231,plain,
! [SV103: refine432681134nres_b,SV154: refine432681134nres_b,SV190: refine432681134nres_b] :
( ( $true = $true )
| ( ( ~ ( ~ ~ $true
| ( ord_le527798542nres_b @ SV190 @ SV154 ) )
| ( ord_le527798542nres_b @ ( if_Ref1732808808nres_b @ $true @ SV103 @ SV190 ) @ SV154 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1126]) ).
thf(1232,plain,
! [SV103: refine432681134nres_b,SV154: refine432681134nres_b,SV190: refine432681134nres_b] :
( ( ( ~ ( ~ ~ $true
| ( ord_le527798542nres_b @ SV190 @ SV154 ) ) )
= $true )
| ( ( ord_le527798542nres_b @ ( if_Ref1732808808nres_b @ $true @ SV103 @ SV190 ) @ SV154 )
= $true )
| ( ( ord_le527798542nres_b @ SV103 @ SV154 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1127]) ).
thf(1233,plain,
! [SV104: refine432681134nres_b,SV155: refine432681134nres_b,SV191: refine432681134nres_b] :
( ( $false = $true )
| ( ( ~ ( ~ ~ $false
| ( ord_le527798542nres_b @ SV191 @ SV155 ) )
| ( ord_le527798542nres_b @ ( if_Ref1732808808nres_b @ $false @ SV104 @ SV191 ) @ SV155 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1128]) ).
thf(1234,plain,
! [SV104: refine432681134nres_b,SV155: refine432681134nres_b,SV191: refine432681134nres_b] :
( ( ( ~ ( ~ ~ $false
| ( ord_le527798542nres_b @ SV191 @ SV155 ) ) )
= $true )
| ( ( ord_le527798542nres_b @ ( if_Ref1732808808nres_b @ $false @ SV104 @ SV191 ) @ SV155 )
= $true )
| ( ( ord_le527798542nres_b @ SV104 @ SV155 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1129]) ).
thf(1235,plain,
! [SV156: refine424419629nres_a,SV105: refine424419629nres_a,SV38: refine424419629nres_a > refine424419629nres_a > $o] :
( ( ( ! [SY310: set_a,SY311: set_a] : ( SV38 @ ( refine1198353288_RES_a @ SY310 ) @ ( refine1198353288_RES_a @ SY311 ) ) )
= $false )
| ( ( ~ ! [SY312: set_a] : ( SV38 @ refine464223677AILi_a @ ( refine1198353288_RES_a @ SY312 ) )
| ( SV38 @ SV105 @ SV156 ) )
= $true )
| ( ( SV38 @ ( sK5_SY309 @ SV156 @ SV105 @ SV38 ) @ refine464223677AILi_a )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1130]) ).
thf(1236,plain,
! [SV39: a > $o,SV106: a,SV213: a > refine432681134nres_b,SV192: set_Product_prod_b_b,SV157: refine432681134nres_b] :
( ( ( ~ ( ord_le527798542nres_b @ SV157 @ ( refine122110613un_b_b @ SV192 @ ( SV213 @ SV106 ) ) ) )
= $true )
| ( ( ord_le527798542nres_b @ SV157 @ ( refine122110613un_b_b @ SV192 @ ( refine436832839nd_a_b @ ( refine1198353288_RES_a @ ( collect_a @ SV39 ) ) @ SV213 ) ) )
= $true )
| ( ( SV39 @ SV106 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1131]) ).
thf(1237,plain,
! [SV40: refine432681134nres_b,SV193: refine432681134nres_b,SV107: refine432681134nres_b,SV158: refine432681134nres_b > refine432681134nres_b] :
( ( ( ord_le527798542nres_b @ ( SV158 @ SV107 ) @ SV193 )
= $false )
| ( ( ~ ! [SY569: refine432681134nres_b,SY570: refine432681134nres_b] :
( ~ ( ord_le527798542nres_b @ SY569 @ SY570 )
| ( ord_le527798542nres_b @ ( SV158 @ SY569 ) @ ( SV158 @ SY570 ) ) )
| ( ord_le527798542nres_b @ ( SV158 @ SV40 ) @ SV193 ) )
= $true )
| ( ( ord_le527798542nres_b @ SV40 @ SV107 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1132]) ).
thf(1238,plain,
! [SV41: refine432681134nres_b,SV108: refine424419629nres_a > refine432681134nres_b,SV194: refine424419629nres_a,SV159: refine424419629nres_a] :
( ( ( ord_le519537037nres_a @ SV159 @ SV194 )
= $false )
| ( ( ~ ! [SY474: refine424419629nres_a,SY475: refine424419629nres_a] :
( ~ ( ord_le519537037nres_a @ SY474 @ SY475 )
| ( ord_le527798542nres_b @ ( SV108 @ SY474 ) @ ( SV108 @ SY475 ) ) )
| ( ord_le527798542nres_b @ SV41 @ ( SV108 @ SV194 ) ) )
= $true )
| ( ( ord_le527798542nres_b @ SV41 @ ( SV108 @ SV159 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1133]) ).
thf(1239,plain,
! [SV43: refine432681134nres_b,SV195: refine432681134nres_b,SV110: refine432681134nres_b,SV160: set_Product_prod_b_b] :
( ( ( ord_le527798542nres_b @ ( refine1964549110un_b_b @ SV160 @ SV110 ) @ SV195 )
= $false )
| ( ( ord_le527798542nres_b @ ( refine1964549110un_b_b @ SV160 @ SV43 ) @ SV195 )
= $true )
| ( ( ord_le527798542nres_b @ SV43 @ SV110 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1134]) ).
thf(1240,plain,
! [SV196: refine432681134nres_b,SV111: refine432681134nres_b] :
( ( ( SV111 = SV196 )
= $false )
| ( ( ~ ( ( SV111 != SV196 )
| ~ ~ ( ~ ( ord_le527798542nres_b @ SV111 @ SV196 )
| ~ ( ord_le527798542nres_b @ SV196 @ SV111 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1135]) ).
thf(1241,plain,
! [SV196: refine432681134nres_b,SV111: refine432681134nres_b] :
( ( ( ~ ( ~ ( ord_le527798542nres_b @ SV111 @ SV196 )
| ~ ( ord_le527798542nres_b @ SV196 @ SV111 ) ) )
= $false )
| ( ( ~ ( ( SV111 != SV196 )
| ~ ~ ( ~ ( ord_le527798542nres_b @ SV111 @ SV196 )
| ~ ( ord_le527798542nres_b @ SV196 @ SV111 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1135]) ).
thf(1242,plain,
! [SV49: refine424419629nres_a,SV116: refine432681134nres_b > refine424419629nres_a,SV197: refine432681134nres_b,SV164: refine432681134nres_b] :
( ( ( ord_le527798542nres_b @ SV164 @ SV197 )
= $false )
| ( ( ~ ! [SY485: refine432681134nres_b,SY486: refine432681134nres_b] :
( ~ ( ord_le527798542nres_b @ SY485 @ SY486 )
| ( ord_le519537037nres_a @ ( SV116 @ SY485 ) @ ( SV116 @ SY486 ) ) )
| ( ord_le519537037nres_a @ SV49 @ ( SV116 @ SV197 ) ) )
= $true )
| ( ( ord_le519537037nres_a @ SV49 @ ( SV116 @ SV164 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1139]) ).
thf(1243,plain,
! [SV50: refine432681134nres_b,SV117: refine432681134nres_b > refine432681134nres_b,SV198: refine432681134nres_b,SV165: refine432681134nres_b] :
( ( ( ord_le527798542nres_b @ SV165 @ SV198 )
= $false )
| ( ( ~ ! [SY489: refine432681134nres_b,SY490: refine432681134nres_b] :
( ~ ( ord_le527798542nres_b @ SY489 @ SY490 )
| ( ord_le527798542nres_b @ ( SV117 @ SY489 ) @ ( SV117 @ SY490 ) ) )
| ( ord_le527798542nres_b @ SV50 @ ( SV117 @ SV198 ) ) )
= $true )
| ( ( SV50
= ( SV117 @ SV165 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1140]) ).
thf(1244,plain,
! [SV118: set_a,SV51: a,SV199: a > refine432681134nres_b,SV166: refine432681134nres_b] :
( ( ( ord_le527798542nres_b @ SV166 @ ( SV199 @ SV51 ) )
= $false )
| ( ( ord_le527798542nres_b @ SV166 @ ( refine436832839nd_a_b @ ( refine1198353288_RES_a @ SV118 ) @ SV199 ) )
= $true )
| ( ( member_a @ SV51 @ SV118 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1141]) ).
thf(1245,plain,
! [SV119: refine432681134nres_b,SV52: refine432681134nres_b,SV214: $o,SV200: refine432681134nres_b,SV167: refine432681134nres_b] :
( ( ( ~ ( ord_le527798542nres_b @ SV167 @ SV200 ) )
= $true )
| ( ( ord_le527798542nres_b @ ( if_Ref1732808808nres_b @ SV214 @ SV52 @ SV167 ) @ ( if_Ref1732808808nres_b @ SV214 @ SV119 @ SV200 ) )
= $true )
| ( ( ord_le527798542nres_b @ SV52 @ SV119 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1142]) ).
thf(1246,plain,
! [SV119: refine432681134nres_b,SV52: refine432681134nres_b,SV200: refine432681134nres_b,SV167: refine432681134nres_b] :
( ( ( ~ ( ord_le527798542nres_b @ SV167 @ SV200 ) )
= $true )
| ( ( ord_le527798542nres_b @ ( if_Ref1732808808nres_b @ $true @ SV52 @ SV167 ) @ ( if_Ref1732808808nres_b @ $true @ SV119 @ SV200 ) )
= $true )
| ( ( ord_le527798542nres_b @ SV52 @ SV119 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1143]) ).
thf(1247,plain,
! [SV119: refine432681134nres_b,SV52: refine432681134nres_b,SV200: refine432681134nres_b,SV167: refine432681134nres_b] :
( ( ( ~ ( ord_le527798542nres_b @ SV167 @ SV200 ) )
= $true )
| ( ( ord_le527798542nres_b @ ( if_Ref1732808808nres_b @ $false @ SV52 @ SV167 ) @ ( if_Ref1732808808nres_b @ $false @ SV119 @ SV200 ) )
= $true )
| ( ( ord_le527798542nres_b @ SV52 @ SV119 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1144]) ).
thf(1248,plain,
! [SV201: refine432681134nres_b,SV120: refine432681134nres_b] :
( ( ( SV120 = SV201 )
= $false )
| ( ( ~ ( ( SV120 != SV201 )
| ~ ~ ( ~ ( ord_le527798542nres_b @ SV120 @ SV201 )
| ~ ( ord_le527798542nres_b @ SV201 @ SV120 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1146]) ).
thf(1249,plain,
! [SV201: refine432681134nres_b,SV120: refine432681134nres_b] :
( ( ( ~ ( ~ ( ord_le527798542nres_b @ SV120 @ SV201 )
| ~ ( ord_le527798542nres_b @ SV201 @ SV120 ) ) )
= $false )
| ( ( ~ ( ( SV120 != SV201 )
| ~ ~ ( ~ ( ord_le527798542nres_b @ SV120 @ SV201 )
| ~ ( ord_le527798542nres_b @ SV201 @ SV120 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1146]) ).
thf(1250,plain,
! [SV123: refine424419629nres_a] :
( ( ( ~ ( refine412683989fail_a @ SV123 ) )
= $false )
| ( ( refine412683989fail_a @ SV123 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1149]) ).
thf(1251,plain,
! [SV123: refine424419629nres_a] :
( ( ( ~ ~ ! [SY500: set_a] :
( SV123
!= ( refine1198353288_RES_a @ SY500 ) ) )
= $false )
| ( ( refine412683989fail_a @ SV123 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1149]) ).
thf(1252,plain,
! [SV215: set_a,SV123: refine424419629nres_a] :
( ( ( SV123
!= ( refine1198353288_RES_a @ SV215 ) )
= $true )
| ( ( ~ ( ~ ( refine412683989fail_a @ SV123 )
| ~ ~ ! [SY500: set_a] :
( SV123
!= ( refine1198353288_RES_a @ SY500 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1150]) ).
thf(1253,plain,
! [SV59: refine424419629nres_a,SV202: refine432681134nres_b,SV124: refine424419629nres_a,SV170: refine424419629nres_a > refine432681134nres_b] :
( ( ( ( SV170 @ SV124 )
= SV202 )
= $false )
| ( ( ~ ! [SY585: refine424419629nres_a,SY586: refine424419629nres_a] :
( ~ ( ord_le519537037nres_a @ SY585 @ SY586 )
| ( ord_le527798542nres_b @ ( SV170 @ SY585 ) @ ( SV170 @ SY586 ) ) )
| ( ord_le527798542nres_b @ ( SV170 @ SV59 ) @ SV202 ) )
= $true )
| ( ( ord_le519537037nres_a @ SV59 @ SV124 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1151]) ).
thf(1254,plain,
! [SV60: refine432681134nres_b,SV125: refine432681134nres_b > refine432681134nres_b,SV203: refine432681134nres_b,SV171: refine432681134nres_b] :
( ( ( ord_le527798542nres_b @ SV171 @ SV203 )
= $false )
| ( ( ~ ! [SY507: refine432681134nres_b,SY508: refine432681134nres_b] :
( ~ ( ord_le527798542nres_b @ SY507 @ SY508 )
| ( ord_le527798542nres_b @ ( SV125 @ SY507 ) @ ( SV125 @ SY508 ) ) )
| ( ord_le527798542nres_b @ SV60 @ ( SV125 @ SV203 ) ) )
= $true )
| ( ( ord_le527798542nres_b @ SV60 @ ( SV125 @ SV171 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1152]) ).
thf(1255,plain,
! [SV172: refine424419629nres_a,SV126: refine424419629nres_a,SV61: refine424419629nres_a > refine424419629nres_a > $o] :
( ( ( ! [SY378: set_a] : ( SV61 @ refine464223677AILi_a @ ( refine1198353288_RES_a @ SY378 ) ) )
= $false )
| ( ( ~ ! [SY379: set_a,SY380: set_a] : ( SV61 @ ( refine1198353288_RES_a @ SY379 ) @ ( refine1198353288_RES_a @ SY380 ) )
| ( SV61 @ SV126 @ SV172 ) )
= $true )
| ( ( SV61 @ ( sK7_SY377 @ SV172 @ SV126 @ SV61 ) @ refine464223677AILi_a )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1153]) ).
thf(1256,plain,
! [SV127: a > $o,SV62: a > $o] :
( ( ( ~ ( ord_less_eq_set_a @ ( collect_a @ SV62 ) @ ( collect_a @ SV127 ) ) )
= $false )
| ( ( ord_less_eq_set_a @ ( collect_a @ SV62 ) @ ( collect_a @ SV127 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1154]) ).
thf(1257,plain,
! [SV127: a > $o,SV62: a > $o] :
( ( ( ~ ! [SY514: a] :
( ~ ( SV62 @ SY514 )
| ( SV127 @ SY514 ) ) )
= $false )
| ( ( ord_less_eq_set_a @ ( collect_a @ SV62 ) @ ( collect_a @ SV127 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1154]) ).
thf(1258,plain,
! [SV127: a > $o,SV62: a > $o] :
( ( ( ~ ( SV62 @ ( sK11_SY514 @ SV127 @ SV62 ) ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ ( collect_a @ SV62 ) @ ( collect_a @ SV127 ) )
| ~ ! [SY514: a] :
( ~ ( SV62 @ SY514 )
| ( SV127 @ SY514 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1155]) ).
thf(1259,plain,
! [SV62: a > $o,SV127: a > $o] :
( ( ( SV127 @ ( sK11_SY514 @ SV127 @ SV62 ) )
= $false )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ ( collect_a @ SV62 ) @ ( collect_a @ SV127 ) )
| ~ ! [SY514: a] :
( ~ ( SV62 @ SY514 )
| ( SV127 @ SY514 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1155]) ).
thf(1260,plain,
! [SV65: refine424419629nres_a,SV128: refine432681134nres_b > refine424419629nres_a,SV204: refine432681134nres_b,SV173: refine432681134nres_b] :
( ( ( ord_le527798542nres_b @ SV173 @ SV204 )
= $false )
| ( ( ~ ! [SY517: refine432681134nres_b,SY518: refine432681134nres_b] :
( ~ ( ord_le527798542nres_b @ SY517 @ SY518 )
| ( ord_le519537037nres_a @ ( SV128 @ SY517 ) @ ( SV128 @ SY518 ) ) )
| ( ord_le519537037nres_a @ SV65 @ ( SV128 @ SV204 ) ) )
= $true )
| ( ( SV65
= ( SV128 @ SV173 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1157]) ).
thf(1261,plain,
! [SV205: refine432681134nres_b,SV131: refine432681134nres_b] :
( ( ( SV131 = SV205 )
= $false )
| ( ( ~ ( ( SV131 != SV205 )
| ~ ~ ( ~ ( ord_le527798542nres_b @ SV205 @ SV131 )
| ~ ( ord_le527798542nres_b @ SV131 @ SV205 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1159]) ).
thf(1262,plain,
! [SV131: refine432681134nres_b,SV205: refine432681134nres_b] :
( ( ( ~ ( ~ ( ord_le527798542nres_b @ SV205 @ SV131 )
| ~ ( ord_le527798542nres_b @ SV131 @ SV205 ) ) )
= $false )
| ( ( ~ ( ( SV131 != SV205 )
| ~ ~ ( ~ ( ord_le527798542nres_b @ SV205 @ SV131 )
| ~ ( ord_le527798542nres_b @ SV131 @ SV205 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1159]) ).
thf(1263,plain,
! [SV69: refine424419629nres_a,SV206: refine432681134nres_b,SV132: refine424419629nres_a,SV177: refine424419629nres_a > refine432681134nres_b] :
( ( ( ord_le527798542nres_b @ ( SV177 @ SV132 ) @ SV206 )
= $false )
| ( ( ~ ! [SY598: refine424419629nres_a,SY599: refine424419629nres_a] :
( ~ ( ord_le519537037nres_a @ SY598 @ SY599 )
| ( ord_le527798542nres_b @ ( SV177 @ SY598 ) @ ( SV177 @ SY599 ) ) )
| ( ord_le527798542nres_b @ ( SV177 @ SV69 ) @ SV206 ) )
= $true )
| ( ( ord_le519537037nres_a @ SV69 @ SV132 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1160]) ).
thf(1264,plain,
! [SV133: refine432681134nres_b,SV178: refine432681134nres_b > $o,SV70: refine432681134nres_b > $o] :
( ( ( ~ ( SV70 @ ( sK13_SY528 @ SV178 @ SV133 @ SV70 ) )
| ( ord_le527798542nres_b @ ( sK13_SY528 @ SV178 @ SV133 @ SV70 ) @ SV133 ) )
= $false )
| ( ( ~ ! [SY601: refine432681134nres_b] :
( ~ ( SV70 @ SY601 )
| ~ ! [SY404: refine432681134nres_b] :
( ~ ( SV70 @ SY404 )
| ( ord_le527798542nres_b @ SY404 @ SY601 ) )
| ( SV178 @ SY601 ) )
| ( SV178 @ ( order_1722590613nres_b @ SV70 ) ) )
= $true )
| ( ( SV70 @ SV133 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1161]) ).
thf(1265,plain,
! [SV72: refine432681134nres_b,SV135: refine424419629nres_a > refine432681134nres_b,SV207: refine424419629nres_a,SV179: refine424419629nres_a] :
( ( ( ord_le519537037nres_a @ SV179 @ SV207 )
= $false )
| ( ( ~ ! [SY533: refine424419629nres_a,SY534: refine424419629nres_a] :
( ~ ( ord_le519537037nres_a @ SY533 @ SY534 )
| ( ord_le527798542nres_b @ ( SV135 @ SY533 ) @ ( SV135 @ SY534 ) ) )
| ( ord_le527798542nres_b @ SV72 @ ( SV135 @ SV207 ) ) )
= $true )
| ( ( SV72
= ( SV135 @ SV179 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1162]) ).
thf(1266,plain,
! [SV74: refine432681134nres_b,SV208: refine424419629nres_a,SV137: refine432681134nres_b,SV180: refine432681134nres_b > refine424419629nres_a] :
( ( ( ord_le519537037nres_a @ ( SV180 @ SV137 ) @ SV208 )
= $false )
| ( ( ~ ! [SY607: refine432681134nres_b,SY608: refine432681134nres_b] :
( ~ ( ord_le527798542nres_b @ SY607 @ SY608 )
| ( ord_le519537037nres_a @ ( SV180 @ SY607 ) @ ( SV180 @ SY608 ) ) )
| ( ord_le519537037nres_a @ ( SV180 @ SV74 ) @ SV208 ) )
= $true )
| ( ( ord_le527798542nres_b @ SV74 @ SV137 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1163]) ).
thf(1267,plain,
! [SV209: $o > refine432681134nres_b,SV139: $o > refine432681134nres_b] :
( ( ( ord_le1656162903nres_b @ SV139 @ SV209 )
= $false )
| ( ( ~ ( ~ ( ord_le1656162903nres_b @ SV139 @ SV209 )
| ~ ~ ( ~ ( ord_le527798542nres_b @ ( SV139 @ $false ) @ ( SV209 @ $false ) )
| ~ ( ord_le527798542nres_b @ ( SV139 @ $true ) @ ( SV209 @ $true ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1164]) ).
thf(1268,plain,
! [SV209: $o > refine432681134nres_b,SV139: $o > refine432681134nres_b] :
( ( ( ~ ( ~ ( ord_le527798542nres_b @ ( SV139 @ $false ) @ ( SV209 @ $false ) )
| ~ ( ord_le527798542nres_b @ ( SV139 @ $true ) @ ( SV209 @ $true ) ) ) )
= $false )
| ( ( ~ ( ~ ( ord_le1656162903nres_b @ SV139 @ SV209 )
| ~ ~ ( ~ ( ord_le527798542nres_b @ ( SV139 @ $false ) @ ( SV209 @ $false ) )
| ~ ( ord_le527798542nres_b @ ( SV139 @ $true ) @ ( SV209 @ $true ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1164]) ).
thf(1269,plain,
! [SV77: set_a,SV1: set_a] :
( ( ( ( refine1198353288_RES_a @ SV1 )
= ( refine1198353288_RES_a @ SV77 ) )
= $true )
| ( ( ( refine1198353288_RES_a @ SV1 )
= ( refine1198353288_RES_a @ SV77 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1165]) ).
thf(1270,plain,
! [SV77: set_a,SV1: set_a] :
( ( ( SV1 = SV77 )
= $true )
| ( ( ( refine1198353288_RES_a @ SV1 )
= ( refine1198353288_RES_a @ SV77 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1166]) ).
thf(1271,plain,
! [SV77: set_a,SV1: set_a] :
( ( ( ( refine1198353288_RES_a @ SV1 )
= ( refine1198353288_RES_a @ SV77 ) )
= $true )
| ( ( SV1 = SV77 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1167]) ).
thf(1272,plain,
! [SV77: set_a,SV1: set_a] :
( ( ( SV1 = SV77 )
= $true )
| ( ( SV1 = SV77 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1168]) ).
thf(1273,plain,
! [SV78: set_a,SV2: set_a] :
( ( ( ( refine1198353288_RES_a @ SV2 )
= ( refine1198353288_RES_a @ SV78 ) )
= $true )
| ( ( ( refine1198353288_RES_a @ SV2 )
= ( refine1198353288_RES_a @ SV78 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1169]) ).
thf(1274,plain,
! [SV78: set_a,SV2: set_a] :
( ( ( SV2 = SV78 )
= $true )
| ( ( ( refine1198353288_RES_a @ SV2 )
= ( refine1198353288_RES_a @ SV78 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1170]) ).
thf(1275,plain,
! [SV78: set_a,SV2: set_a] :
( ( ( ( refine1198353288_RES_a @ SV2 )
= ( refine1198353288_RES_a @ SV78 ) )
= $true )
| ( ( SV2 = SV78 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1171]) ).
thf(1276,plain,
! [SV78: set_a,SV2: set_a] :
( ( ( SV2 = SV78 )
= $true )
| ( ( SV2 = SV78 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1172]) ).
thf(1277,plain,
! [SV79: a,SV5: a > $o] :
( ( ( refine1312857699nres_a @ ( refine1198353288_RES_a @ ( collect_a @ SV5 ) ) @ SV79 )
= $true )
| ( ( refine1312857699nres_a @ ( refine1198353288_RES_a @ ( collect_a @ SV5 ) ) @ SV79 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1173]) ).
thf(1278,plain,
! [SV79: a,SV5: a > $o] :
( ( ( SV5 @ SV79 )
= $true )
| ( ( refine1312857699nres_a @ ( refine1198353288_RES_a @ ( collect_a @ SV5 ) ) @ SV79 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1174]) ).
thf(1279,plain,
! [SV79: a,SV5: a > $o] :
( ( ( refine1312857699nres_a @ ( refine1198353288_RES_a @ ( collect_a @ SV5 ) ) @ SV79 )
= $true )
| ( ( SV5 @ SV79 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1175]) ).
thf(1280,plain,
! [SV79: a,SV5: a > $o] :
( ( ( SV5 @ SV79 )
= $true )
| ( ( SV5 @ SV79 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1176]) ).
thf(1281,plain,
! [SV80: a > $o,SV7: a] :
( ( ( member_a @ SV7 @ ( collect_a @ SV80 ) )
= $true )
| ( ( member_a @ SV7 @ ( collect_a @ SV80 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1177]) ).
thf(1282,plain,
! [SV7: a,SV80: a > $o] :
( ( ( SV80 @ SV7 )
= $true )
| ( ( member_a @ SV7 @ ( collect_a @ SV80 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1178]) ).
thf(1283,plain,
! [SV80: a > $o,SV7: a] :
( ( ( member_a @ SV7 @ ( collect_a @ SV80 ) )
= $true )
| ( ( SV80 @ SV7 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1179]) ).
thf(1284,plain,
! [SV7: a,SV80: a > $o] :
( ( ( SV80 @ SV7 )
= $true )
| ( ( SV80 @ SV7 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1180]) ).
thf(1285,plain,
! [SV81: b,SV11: b] :
( ( ( ord_le527798542nres_b @ ( refine2063221605TURN_b @ SV11 ) @ ( refine2063221605TURN_b @ SV81 ) )
= $true )
| ( ( ord_le527798542nres_b @ ( refine2063221605TURN_b @ SV11 ) @ ( refine2063221605TURN_b @ SV81 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1181]) ).
thf(1286,plain,
! [SV81: b,SV11: b] :
( ( ( SV11 = SV81 )
= $true )
| ( ( ord_le527798542nres_b @ ( refine2063221605TURN_b @ SV11 ) @ ( refine2063221605TURN_b @ SV81 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1182]) ).
thf(1287,plain,
! [SV81: b,SV11: b] :
( ( ( ord_le527798542nres_b @ ( refine2063221605TURN_b @ SV11 ) @ ( refine2063221605TURN_b @ SV81 ) )
= $true )
| ( ( SV11 = SV81 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1183]) ).
thf(1288,plain,
! [SV81: b,SV11: b] :
( ( ( SV11 = SV81 )
= $true )
| ( ( SV11 = SV81 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1184]) ).
thf(1289,plain,
! [SV18: $o] :
( ( SV18 = $true )
| ( SV18 = $false )
| ( ( SV18 = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1193]) ).
thf(1290,plain,
! [SV18: $o] :
( ( $true = $true )
| ( SV18 = $false )
| ( ( SV18 = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1194]) ).
thf(1291,plain,
! [SV18: $o] :
( ( SV18 = $true )
| ( $true = $false )
| ( ( SV18 = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1195]) ).
thf(1292,plain,
! [SV18: $o] :
( ( $true = $true )
| ( $true = $false )
| ( ( SV18 = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1196]) ).
thf(1293,plain,
! [SV18: $o] :
( ( ( ~ SV18 ) = $false )
| ( SV18 = $false )
| ( ( SV18 = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1197]) ).
thf(1294,plain,
! [SV18: $o] :
( ( ( ~ $false ) = $false )
| ( SV18 = $false )
| ( ( SV18 = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1197]) ).
thf(1295,plain,
! [SV18: $o] :
( ( ( ~ SV18 ) = $false )
| ( $false = $false )
| ( ( SV18 = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1198]) ).
thf(1296,plain,
! [SV18: $o] :
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( ( SV18 = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1198]) ).
thf(1297,plain,
( ( $true = $true )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1199]) ).
thf(1298,plain,
( ( $true = $true )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1200]) ).
thf(1299,plain,
( ( $true = $true )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1201]) ).
thf(1300,plain,
( ( $true = $true )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1202]) ).
thf(1301,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1203]) ).
thf(1302,plain,
( ( ( ~ $false ) = $false )
| ( $true = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1203]) ).
thf(1303,plain,
( ( ( ~ $true ) = $false )
| ( $false = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1204]) ).
thf(1304,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1204]) ).
thf(1305,plain,
( ( $false = $true )
| ( $false = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1205]) ).
thf(1306,plain,
( ( $true = $true )
| ( $false = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1206]) ).
thf(1307,plain,
( ( $false = $true )
| ( $true = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1207]) ).
thf(1308,plain,
( ( $true = $true )
| ( $true = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1208]) ).
thf(1309,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1209]) ).
thf(1310,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1209]) ).
thf(1311,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1210]) ).
thf(1312,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1210]) ).
thf(1313,plain,
! [SV19: refine432681134nres_b,SV83: refine432681134nres_b] :
( ( ( ~ ( ord_le527798542nres_b @ SV83 @ SV19 )
| ( SV83 != SV19 ) )
= $false )
| ( ( ord_le527798542nres_b @ SV83 @ SV19 )
= $false )
| ( ( ord_le527798542nres_b @ SV19 @ SV83 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1211]) ).
thf(1314,plain,
! [SV19: refine432681134nres_b,SV83: refine432681134nres_b] :
( ( ( ~ ( ord_le527798542nres_b @ SV83 @ SV19 )
| ( SV83 != SV19 ) )
= $false )
| ( ( SV83 = SV19 )
= $false )
| ( ( ord_le527798542nres_b @ SV19 @ SV83 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1212]) ).
thf(1315,plain,
! [SV84: refine432681134nres_b,SV20: refine432681134nres_b > $o] :
( ( ( SV20 @ ( sK9_SY419 @ SV84 @ SV20 ) )
= $true )
| ( ( ( order_1722590613nres_b @ SV20 )
= SV84 )
= $true )
| ( ( SV20 @ SV84 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1213]) ).
thf(1316,plain,
! [SV140: refine432681134nres_b,SV85: refine432681134nres_b,SV210: refine432681134nres_b,SV182: refine432681134nres_b,SV21: $o] :
( ( SV21 = $true )
| ( ( ~ ( ~ ~ SV21
| ( ord_le527798542nres_b @ SV182 @ SV210 ) )
| ( ord_le527798542nres_b @ ( if_Ref1732808808nres_b @ SV21 @ SV85 @ SV182 ) @ ( if_Ref1732808808nres_b @ SV21 @ SV140 @ SV210 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1215]) ).
thf(1317,plain,
! [SV140: refine432681134nres_b,SV85: refine432681134nres_b,SV210: refine432681134nres_b,SV182: refine432681134nres_b,SV21: $o] :
( ( ( ~ ( ~ ~ SV21
| ( ord_le527798542nres_b @ SV182 @ SV210 ) ) )
= $true )
| ( ( ord_le527798542nres_b @ ( if_Ref1732808808nres_b @ SV21 @ SV85 @ SV182 ) @ ( if_Ref1732808808nres_b @ SV21 @ SV140 @ SV210 ) )
= $true )
| ( ( ord_le527798542nres_b @ SV85 @ SV140 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1216]) ).
thf(1318,plain,
! [SV141: refine432681134nres_b,SV86: refine432681134nres_b,SV211: refine432681134nres_b,SV183: refine432681134nres_b] :
( ( $true = $true )
| ( ( ~ ( ~ ~ $true
| ( ord_le527798542nres_b @ SV183 @ SV211 ) )
| ( ord_le527798542nres_b @ ( if_Ref1732808808nres_b @ $true @ SV86 @ SV183 ) @ ( if_Ref1732808808nres_b @ $true @ SV141 @ SV211 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1217]) ).
thf(1319,plain,
! [SV141: refine432681134nres_b,SV86: refine432681134nres_b,SV211: refine432681134nres_b,SV183: refine432681134nres_b] :
( ( ( ~ ( ~ ~ $true
| ( ord_le527798542nres_b @ SV183 @ SV211 ) ) )
= $true )
| ( ( ord_le527798542nres_b @ ( if_Ref1732808808nres_b @ $true @ SV86 @ SV183 ) @ ( if_Ref1732808808nres_b @ $true @ SV141 @ SV211 ) )
= $true )
| ( ( ord_le527798542nres_b @ SV86 @ SV141 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1218]) ).
thf(1320,plain,
! [SV142: refine432681134nres_b,SV87: refine432681134nres_b,SV212: refine432681134nres_b,SV184: refine432681134nres_b] :
( ( $false = $true )
| ( ( ~ ( ~ ~ $false
| ( ord_le527798542nres_b @ SV184 @ SV212 ) )
| ( ord_le527798542nres_b @ ( if_Ref1732808808nres_b @ $false @ SV87 @ SV184 ) @ ( if_Ref1732808808nres_b @ $false @ SV142 @ SV212 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1219]) ).
thf(1321,plain,
! [SV142: refine432681134nres_b,SV87: refine432681134nres_b,SV212: refine432681134nres_b,SV184: refine432681134nres_b] :
( ( ( ~ ( ~ ~ $false
| ( ord_le527798542nres_b @ SV184 @ SV212 ) ) )
= $true )
| ( ( ord_le527798542nres_b @ ( if_Ref1732808808nres_b @ $false @ SV87 @ SV184 ) @ ( if_Ref1732808808nres_b @ $false @ SV142 @ SV212 ) )
= $true )
| ( ( ord_le527798542nres_b @ SV87 @ SV142 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1220]) ).
thf(1322,plain,
! [SV147: a > $o,SV30: refine424419629nres_a,SV95: a > $o] :
( ( ( ~ ( SV95 @ ( sK12_SY547 @ SV30 @ SV147 @ SV95 ) ) )
= $false )
| ( ( ord_le519537037nres_a @ SV30 @ ( refine1198353288_RES_a @ ( collect_a @ SV147 ) ) )
= $true )
| ( ( ord_le519537037nres_a @ SV30 @ ( refine1198353288_RES_a @ ( collect_a @ SV95 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1222]) ).
thf(1323,plain,
! [SV95: a > $o,SV30: refine424419629nres_a,SV147: a > $o] :
( ( ( SV147 @ ( sK12_SY547 @ SV30 @ SV147 @ SV95 ) )
= $false )
| ( ( ord_le519537037nres_a @ SV30 @ ( refine1198353288_RES_a @ ( collect_a @ SV147 ) ) )
= $true )
| ( ( ord_le519537037nres_a @ SV30 @ ( refine1198353288_RES_a @ ( collect_a @ SV95 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1222]) ).
thf(1324,plain,
! [SV96: refine424419629nres_a,SV148: refine424419629nres_a,SV31: refine424419629nres_a > refine424419629nres_a > $o] :
( ( ( SV31 @ ( refine1198353288_RES_a @ ( sK14_SY284 @ SV148 @ SV96 @ SV31 ) ) @ refine464223677AILi_a )
= $false )
| ( ( ~ ! [SY285: set_a,SY286: set_a] : ( SV31 @ ( refine1198353288_RES_a @ SY285 ) @ ( refine1198353288_RES_a @ SY286 ) )
| ( SV31 @ SV96 @ SV148 ) )
= $true )
| ( ( SV31 @ refine464223677AILi_a @ ( sK4_SY283 @ SV148 @ SV96 @ SV31 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1223]) ).
thf(1325,plain,
! [SV97: a > $o,SV32: a > $o] :
( ( ( SV32 @ ( sK1_SY442 @ SV97 @ SV32 ) )
= $true )
| ( ( SV97 @ ( sK1_SY442 @ SV97 @ SV32 ) )
= $true )
| ( ( ( collect_a @ SV32 )
= ( collect_a @ SV97 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1224]) ).
thf(1326,plain,
! [SV97: a > $o,SV32: a > $o] :
( ( ( ~ ( SV32 @ ( sK1_SY442 @ SV97 @ SV32 ) ) )
= $true )
| ( ( ~ ( SV97 @ ( sK1_SY442 @ SV97 @ SV32 ) ) )
= $true )
| ( ( ( collect_a @ SV32 )
= ( collect_a @ SV97 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1225]) ).
thf(1327,plain,
! [SV98: refine432681134nres_b,SV33: refine432681134nres_b,SV186: refine432681134nres_b,SV149: refine432681134nres_b] :
( ( ( SV149 != SV186 )
= $true )
| ( ( ord_le527798542nres_b @ SV33 @ SV186 )
= $true )
| ( ( ord_le527798542nres_b @ SV98 @ SV149 )
= $false )
| ( ( SV33 = SV98 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1226]) ).
thf(1328,plain,
! [SV99: refine432681134nres_b,SV187: refine424419629nres_a,SV34: refine432681134nres_b,SV150: refine432681134nres_b > refine424419629nres_a] :
( ( ( ~ ! [SY554: refine432681134nres_b,SY555: refine432681134nres_b] :
( ~ ( ord_le527798542nres_b @ SY554 @ SY555 )
| ( ord_le519537037nres_a @ ( SV150 @ SY554 ) @ ( SV150 @ SY555 ) ) ) )
= $true )
| ( ( ord_le519537037nres_a @ ( SV150 @ SV34 ) @ SV187 )
= $true )
| ( ( ( SV150 @ SV99 )
= SV187 )
= $false )
| ( ( ord_le527798542nres_b @ SV34 @ SV99 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1227]) ).
thf(1329,plain,
! [SV100: refine432681134nres_b,SV188: refine432681134nres_b,SV35: refine432681134nres_b,SV151: refine432681134nres_b > refine432681134nres_b] :
( ( ( ~ ! [SY557: refine432681134nres_b,SY558: refine432681134nres_b] :
( ~ ( ord_le527798542nres_b @ SY557 @ SY558 )
| ( ord_le527798542nres_b @ ( SV151 @ SY557 ) @ ( SV151 @ SY558 ) ) ) )
= $true )
| ( ( ord_le527798542nres_b @ ( SV151 @ SV35 ) @ SV188 )
= $true )
| ( ( ( SV151 @ SV100 )
= SV188 )
= $false )
| ( ( ord_le527798542nres_b @ SV35 @ SV100 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1228]) ).
thf(1330,plain,
! [SV102: refine432681134nres_b,SV153: refine432681134nres_b,SV189: refine432681134nres_b,SV37: $o] :
( ( ( ~ ( ~ ~ SV37
| ( ord_le527798542nres_b @ SV189 @ SV153 ) ) )
= $true )
| ( ( ord_le527798542nres_b @ ( if_Ref1732808808nres_b @ SV37 @ SV102 @ SV189 ) @ SV153 )
= $true )
| ( SV37 = $true ) ),
inference(extcnf_or_pos,[status(thm)],[1229]) ).
thf(1331,plain,
! [SV102: refine432681134nres_b,SV153: refine432681134nres_b,SV189: refine432681134nres_b,SV37: $o] :
( ( ( ~ ~ SV37
| ( ord_le527798542nres_b @ SV189 @ SV153 ) )
= $false )
| ( ( ord_le527798542nres_b @ ( if_Ref1732808808nres_b @ SV37 @ SV102 @ SV189 ) @ SV153 )
= $true )
| ( ( ord_le527798542nres_b @ SV102 @ SV153 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1230]) ).
thf(1332,plain,
! [SV103: refine432681134nres_b,SV154: refine432681134nres_b,SV190: refine432681134nres_b] :
( ( ( ~ ( ~ ~ $true
| ( ord_le527798542nres_b @ SV190 @ SV154 ) ) )
= $true )
| ( ( ord_le527798542nres_b @ ( if_Ref1732808808nres_b @ $true @ SV103 @ SV190 ) @ SV154 )
= $true )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[1231]) ).
thf(1333,plain,
! [SV103: refine432681134nres_b,SV154: refine432681134nres_b,SV190: refine432681134nres_b] :
( ( ( ~ ~ $true
| ( ord_le527798542nres_b @ SV190 @ SV154 ) )
= $false )
| ( ( ord_le527798542nres_b @ ( if_Ref1732808808nres_b @ $true @ SV103 @ SV190 ) @ SV154 )
= $true )
| ( ( ord_le527798542nres_b @ SV103 @ SV154 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1232]) ).
thf(1334,plain,
! [SV104: refine432681134nres_b,SV155: refine432681134nres_b,SV191: refine432681134nres_b] :
( ( ( ~ ( ~ ~ $false
| ( ord_le527798542nres_b @ SV191 @ SV155 ) ) )
= $true )
| ( ( ord_le527798542nres_b @ ( if_Ref1732808808nres_b @ $false @ SV104 @ SV191 ) @ SV155 )
= $true )
| ( $false = $true ) ),
inference(extcnf_or_pos,[status(thm)],[1233]) ).
thf(1335,plain,
! [SV104: refine432681134nres_b,SV155: refine432681134nres_b,SV191: refine432681134nres_b] :
( ( ( ~ ~ $false
| ( ord_le527798542nres_b @ SV191 @ SV155 ) )
= $false )
| ( ( ord_le527798542nres_b @ ( if_Ref1732808808nres_b @ $false @ SV104 @ SV191 ) @ SV155 )
= $true )
| ( ( ord_le527798542nres_b @ SV104 @ SV155 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1234]) ).
thf(1336,plain,
! [SV105: refine424419629nres_a,SV156: refine424419629nres_a,SV38: refine424419629nres_a > refine424419629nres_a > $o] :
( ( ( ! [SY638: set_a] : ( SV38 @ ( refine1198353288_RES_a @ ( sK15_SY310 @ SV156 @ SV105 @ SV38 ) ) @ ( refine1198353288_RES_a @ SY638 ) ) )
= $false )
| ( ( ~ ! [SY312: set_a] : ( SV38 @ refine464223677AILi_a @ ( refine1198353288_RES_a @ SY312 ) )
| ( SV38 @ SV105 @ SV156 ) )
= $true )
| ( ( SV38 @ ( sK5_SY309 @ SV156 @ SV105 @ SV38 ) @ refine464223677AILi_a )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1235]) ).
thf(1337,plain,
! [SV39: a > $o,SV106: a,SV213: a > refine432681134nres_b,SV192: set_Product_prod_b_b,SV157: refine432681134nres_b] :
( ( ( ord_le527798542nres_b @ SV157 @ ( refine122110613un_b_b @ SV192 @ ( SV213 @ SV106 ) ) )
= $false )
| ( ( ord_le527798542nres_b @ SV157 @ ( refine122110613un_b_b @ SV192 @ ( refine436832839nd_a_b @ ( refine1198353288_RES_a @ ( collect_a @ SV39 ) ) @ SV213 ) ) )
= $true )
| ( ( SV39 @ SV106 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1236]) ).
thf(1338,plain,
! [SV107: refine432681134nres_b,SV193: refine432681134nres_b,SV40: refine432681134nres_b,SV158: refine432681134nres_b > refine432681134nres_b] :
( ( ( ~ ! [SY569: refine432681134nres_b,SY570: refine432681134nres_b] :
( ~ ( ord_le527798542nres_b @ SY569 @ SY570 )
| ( ord_le527798542nres_b @ ( SV158 @ SY569 ) @ ( SV158 @ SY570 ) ) ) )
= $true )
| ( ( ord_le527798542nres_b @ ( SV158 @ SV40 ) @ SV193 )
= $true )
| ( ( ord_le527798542nres_b @ ( SV158 @ SV107 ) @ SV193 )
= $false )
| ( ( ord_le527798542nres_b @ SV40 @ SV107 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1237]) ).
thf(1339,plain,
! [SV159: refine424419629nres_a,SV194: refine424419629nres_a,SV41: refine432681134nres_b,SV108: refine424419629nres_a > refine432681134nres_b] :
( ( ( ~ ! [SY474: refine424419629nres_a,SY475: refine424419629nres_a] :
( ~ ( ord_le519537037nres_a @ SY474 @ SY475 )
| ( ord_le527798542nres_b @ ( SV108 @ SY474 ) @ ( SV108 @ SY475 ) ) ) )
= $true )
| ( ( ord_le527798542nres_b @ SV41 @ ( SV108 @ SV194 ) )
= $true )
| ( ( ord_le519537037nres_a @ SV159 @ SV194 )
= $false )
| ( ( ord_le527798542nres_b @ SV41 @ ( SV108 @ SV159 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1238]) ).
thf(1340,plain,
! [SV196: refine432681134nres_b,SV111: refine432681134nres_b] :
( ( ( ( SV111 != SV196 )
| ~ ~ ( ~ ( ord_le527798542nres_b @ SV111 @ SV196 )
| ~ ( ord_le527798542nres_b @ SV196 @ SV111 ) ) )
= $false )
| ( ( SV111 = SV196 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1240]) ).
thf(1341,plain,
! [SV196: refine432681134nres_b,SV111: refine432681134nres_b] :
( ( ( ~ ( ord_le527798542nres_b @ SV111 @ SV196 )
| ~ ( ord_le527798542nres_b @ SV196 @ SV111 ) )
= $true )
| ( ( ~ ( ( SV111 != SV196 )
| ~ ~ ( ~ ( ord_le527798542nres_b @ SV111 @ SV196 )
| ~ ( ord_le527798542nres_b @ SV196 @ SV111 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1241]) ).
thf(1342,plain,
! [SV164: refine432681134nres_b,SV197: refine432681134nres_b,SV49: refine424419629nres_a,SV116: refine432681134nres_b > refine424419629nres_a] :
( ( ( ~ ! [SY485: refine432681134nres_b,SY486: refine432681134nres_b] :
( ~ ( ord_le527798542nres_b @ SY485 @ SY486 )
| ( ord_le519537037nres_a @ ( SV116 @ SY485 ) @ ( SV116 @ SY486 ) ) ) )
= $true )
| ( ( ord_le519537037nres_a @ SV49 @ ( SV116 @ SV197 ) )
= $true )
| ( ( ord_le527798542nres_b @ SV164 @ SV197 )
= $false )
| ( ( ord_le519537037nres_a @ SV49 @ ( SV116 @ SV164 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1242]) ).
thf(1343,plain,
! [SV165: refine432681134nres_b,SV198: refine432681134nres_b,SV50: refine432681134nres_b,SV117: refine432681134nres_b > refine432681134nres_b] :
( ( ( ~ ! [SY489: refine432681134nres_b,SY490: refine432681134nres_b] :
( ~ ( ord_le527798542nres_b @ SY489 @ SY490 )
| ( ord_le527798542nres_b @ ( SV117 @ SY489 ) @ ( SV117 @ SY490 ) ) ) )
= $true )
| ( ( ord_le527798542nres_b @ SV50 @ ( SV117 @ SV198 ) )
= $true )
| ( ( ord_le527798542nres_b @ SV165 @ SV198 )
= $false )
| ( ( SV50
= ( SV117 @ SV165 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1243]) ).
thf(1344,plain,
! [SV119: refine432681134nres_b,SV52: refine432681134nres_b,SV214: $o,SV200: refine432681134nres_b,SV167: refine432681134nres_b] :
( ( ( ord_le527798542nres_b @ SV167 @ SV200 )
= $false )
| ( ( ord_le527798542nres_b @ ( if_Ref1732808808nres_b @ SV214 @ SV52 @ SV167 ) @ ( if_Ref1732808808nres_b @ SV214 @ SV119 @ SV200 ) )
= $true )
| ( ( ord_le527798542nres_b @ SV52 @ SV119 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1245]) ).
thf(1345,plain,
! [SV119: refine432681134nres_b,SV52: refine432681134nres_b,SV200: refine432681134nres_b,SV167: refine432681134nres_b] :
( ( ( ord_le527798542nres_b @ SV167 @ SV200 )
= $false )
| ( ( ord_le527798542nres_b @ ( if_Ref1732808808nres_b @ $true @ SV52 @ SV167 ) @ ( if_Ref1732808808nres_b @ $true @ SV119 @ SV200 ) )
= $true )
| ( ( ord_le527798542nres_b @ SV52 @ SV119 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1246]) ).
thf(1346,plain,
! [SV119: refine432681134nres_b,SV52: refine432681134nres_b,SV200: refine432681134nres_b,SV167: refine432681134nres_b] :
( ( ( ord_le527798542nres_b @ SV167 @ SV200 )
= $false )
| ( ( ord_le527798542nres_b @ ( if_Ref1732808808nres_b @ $false @ SV52 @ SV167 ) @ ( if_Ref1732808808nres_b @ $false @ SV119 @ SV200 ) )
= $true )
| ( ( ord_le527798542nres_b @ SV52 @ SV119 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1247]) ).
thf(1347,plain,
! [SV201: refine432681134nres_b,SV120: refine432681134nres_b] :
( ( ( ( SV120 != SV201 )
| ~ ~ ( ~ ( ord_le527798542nres_b @ SV120 @ SV201 )
| ~ ( ord_le527798542nres_b @ SV201 @ SV120 ) ) )
= $false )
| ( ( SV120 = SV201 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1248]) ).
thf(1348,plain,
! [SV201: refine432681134nres_b,SV120: refine432681134nres_b] :
( ( ( ~ ( ord_le527798542nres_b @ SV120 @ SV201 )
| ~ ( ord_le527798542nres_b @ SV201 @ SV120 ) )
= $true )
| ( ( ~ ( ( SV120 != SV201 )
| ~ ~ ( ~ ( ord_le527798542nres_b @ SV120 @ SV201 )
| ~ ( ord_le527798542nres_b @ SV201 @ SV120 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1249]) ).
thf(1349,plain,
! [SV123: refine424419629nres_a] :
( ( ( refine412683989fail_a @ SV123 )
= $true )
| ( ( refine412683989fail_a @ SV123 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1250]) ).
thf(1350,plain,
! [SV123: refine424419629nres_a] :
( ( ( ~ ! [SY500: set_a] :
( SV123
!= ( refine1198353288_RES_a @ SY500 ) ) )
= $true )
| ( ( refine412683989fail_a @ SV123 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1251]) ).
thf(1351,plain,
! [SV215: set_a,SV123: refine424419629nres_a] :
( ( ( SV123
= ( refine1198353288_RES_a @ SV215 ) )
= $false )
| ( ( ~ ( ~ ( refine412683989fail_a @ SV123 )
| ~ ~ ! [SY500: set_a] :
( SV123
!= ( refine1198353288_RES_a @ SY500 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1252]) ).
thf(1352,plain,
! [SV124: refine424419629nres_a,SV202: refine432681134nres_b,SV59: refine424419629nres_a,SV170: refine424419629nres_a > refine432681134nres_b] :
( ( ( ~ ! [SY585: refine424419629nres_a,SY586: refine424419629nres_a] :
( ~ ( ord_le519537037nres_a @ SY585 @ SY586 )
| ( ord_le527798542nres_b @ ( SV170 @ SY585 ) @ ( SV170 @ SY586 ) ) ) )
= $true )
| ( ( ord_le527798542nres_b @ ( SV170 @ SV59 ) @ SV202 )
= $true )
| ( ( ( SV170 @ SV124 )
= SV202 )
= $false )
| ( ( ord_le519537037nres_a @ SV59 @ SV124 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1253]) ).
thf(1353,plain,
! [SV171: refine432681134nres_b,SV203: refine432681134nres_b,SV60: refine432681134nres_b,SV125: refine432681134nres_b > refine432681134nres_b] :
( ( ( ~ ! [SY507: refine432681134nres_b,SY508: refine432681134nres_b] :
( ~ ( ord_le527798542nres_b @ SY507 @ SY508 )
| ( ord_le527798542nres_b @ ( SV125 @ SY507 ) @ ( SV125 @ SY508 ) ) ) )
= $true )
| ( ( ord_le527798542nres_b @ SV60 @ ( SV125 @ SV203 ) )
= $true )
| ( ( ord_le527798542nres_b @ SV171 @ SV203 )
= $false )
| ( ( ord_le527798542nres_b @ SV60 @ ( SV125 @ SV171 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1254]) ).
thf(1354,plain,
! [SV126: refine424419629nres_a,SV172: refine424419629nres_a,SV61: refine424419629nres_a > refine424419629nres_a > $o] :
( ( ( SV61 @ refine464223677AILi_a @ ( refine1198353288_RES_a @ ( sK16_SY378 @ SV172 @ SV126 @ SV61 ) ) )
= $false )
| ( ( ~ ! [SY379: set_a,SY380: set_a] : ( SV61 @ ( refine1198353288_RES_a @ SY379 ) @ ( refine1198353288_RES_a @ SY380 ) )
| ( SV61 @ SV126 @ SV172 ) )
= $true )
| ( ( SV61 @ ( sK7_SY377 @ SV172 @ SV126 @ SV61 ) @ refine464223677AILi_a )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1255]) ).
thf(1355,plain,
! [SV127: a > $o,SV62: a > $o] :
( ( ( ord_less_eq_set_a @ ( collect_a @ SV62 ) @ ( collect_a @ SV127 ) )
= $true )
| ( ( ord_less_eq_set_a @ ( collect_a @ SV62 ) @ ( collect_a @ SV127 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1256]) ).
thf(1356,plain,
! [SV127: a > $o,SV62: a > $o] :
( ( ( ! [SY514: a] :
( ~ ( SV62 @ SY514 )
| ( SV127 @ SY514 ) ) )
= $true )
| ( ( ord_less_eq_set_a @ ( collect_a @ SV62 ) @ ( collect_a @ SV127 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1257]) ).
thf(1357,plain,
! [SV127: a > $o,SV62: a > $o] :
( ( ( SV62 @ ( sK11_SY514 @ SV127 @ SV62 ) )
= $true )
| ( ( ~ ( ~ ( ord_less_eq_set_a @ ( collect_a @ SV62 ) @ ( collect_a @ SV127 ) )
| ~ ! [SY514: a] :
( ~ ( SV62 @ SY514 )
| ( SV127 @ SY514 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1258]) ).
thf(1358,plain,
! [SV127: a > $o,SV62: a > $o] :
( ( ( ~ ( ord_less_eq_set_a @ ( collect_a @ SV62 ) @ ( collect_a @ SV127 ) )
| ~ ! [SY514: a] :
( ~ ( SV62 @ SY514 )
| ( SV127 @ SY514 ) ) )
= $false )
| ( ( SV127 @ ( sK11_SY514 @ SV127 @ SV62 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1259]) ).
thf(1359,plain,
! [SV173: refine432681134nres_b,SV204: refine432681134nres_b,SV65: refine424419629nres_a,SV128: refine432681134nres_b > refine424419629nres_a] :
( ( ( ~ ! [SY517: refine432681134nres_b,SY518: refine432681134nres_b] :
( ~ ( ord_le527798542nres_b @ SY517 @ SY518 )
| ( ord_le519537037nres_a @ ( SV128 @ SY517 ) @ ( SV128 @ SY518 ) ) ) )
= $true )
| ( ( ord_le519537037nres_a @ SV65 @ ( SV128 @ SV204 ) )
= $true )
| ( ( ord_le527798542nres_b @ SV173 @ SV204 )
= $false )
| ( ( SV65
= ( SV128 @ SV173 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1260]) ).
thf(1360,plain,
! [SV205: refine432681134nres_b,SV131: refine432681134nres_b] :
( ( ( ( SV131 != SV205 )
| ~ ~ ( ~ ( ord_le527798542nres_b @ SV205 @ SV131 )
| ~ ( ord_le527798542nres_b @ SV131 @ SV205 ) ) )
= $false )
| ( ( SV131 = SV205 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1261]) ).
thf(1361,plain,
! [SV131: refine432681134nres_b,SV205: refine432681134nres_b] :
( ( ( ~ ( ord_le527798542nres_b @ SV205 @ SV131 )
| ~ ( ord_le527798542nres_b @ SV131 @ SV205 ) )
= $true )
| ( ( ~ ( ( SV131 != SV205 )
| ~ ~ ( ~ ( ord_le527798542nres_b @ SV205 @ SV131 )
| ~ ( ord_le527798542nres_b @ SV131 @ SV205 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1262]) ).
thf(1362,plain,
! [SV132: refine424419629nres_a,SV206: refine432681134nres_b,SV69: refine424419629nres_a,SV177: refine424419629nres_a > refine432681134nres_b] :
( ( ( ~ ! [SY598: refine424419629nres_a,SY599: refine424419629nres_a] :
( ~ ( ord_le519537037nres_a @ SY598 @ SY599 )
| ( ord_le527798542nres_b @ ( SV177 @ SY598 ) @ ( SV177 @ SY599 ) ) ) )
= $true )
| ( ( ord_le527798542nres_b @ ( SV177 @ SV69 ) @ SV206 )
= $true )
| ( ( ord_le527798542nres_b @ ( SV177 @ SV132 ) @ SV206 )
= $false )
| ( ( ord_le519537037nres_a @ SV69 @ SV132 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1263]) ).
thf(1363,plain,
! [SV133: refine432681134nres_b,SV178: refine432681134nres_b > $o,SV70: refine432681134nres_b > $o] :
( ( ( ~ ( SV70 @ ( sK13_SY528 @ SV178 @ SV133 @ SV70 ) ) )
= $false )
| ( ( ~ ! [SY601: refine432681134nres_b] :
( ~ ( SV70 @ SY601 )
| ~ ! [SY404: refine432681134nres_b] :
( ~ ( SV70 @ SY404 )
| ( ord_le527798542nres_b @ SY404 @ SY601 ) )
| ( SV178 @ SY601 ) )
| ( SV178 @ ( order_1722590613nres_b @ SV70 ) ) )
= $true )
| ( ( SV70 @ SV133 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1264]) ).
thf(1364,plain,
! [SV70: refine432681134nres_b > $o,SV133: refine432681134nres_b,SV178: refine432681134nres_b > $o] :
( ( ( ord_le527798542nres_b @ ( sK13_SY528 @ SV178 @ SV133 @ SV70 ) @ SV133 )
= $false )
| ( ( ~ ! [SY601: refine432681134nres_b] :
( ~ ( SV70 @ SY601 )
| ~ ! [SY404: refine432681134nres_b] :
( ~ ( SV70 @ SY404 )
| ( ord_le527798542nres_b @ SY404 @ SY601 ) )
| ( SV178 @ SY601 ) )
| ( SV178 @ ( order_1722590613nres_b @ SV70 ) ) )
= $true )
| ( ( SV70 @ SV133 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1264]) ).
thf(1365,plain,
! [SV179: refine424419629nres_a,SV207: refine424419629nres_a,SV72: refine432681134nres_b,SV135: refine424419629nres_a > refine432681134nres_b] :
( ( ( ~ ! [SY533: refine424419629nres_a,SY534: refine424419629nres_a] :
( ~ ( ord_le519537037nres_a @ SY533 @ SY534 )
| ( ord_le527798542nres_b @ ( SV135 @ SY533 ) @ ( SV135 @ SY534 ) ) ) )
= $true )
| ( ( ord_le527798542nres_b @ SV72 @ ( SV135 @ SV207 ) )
= $true )
| ( ( ord_le519537037nres_a @ SV179 @ SV207 )
= $false )
| ( ( SV72
= ( SV135 @ SV179 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1265]) ).
thf(1366,plain,
! [SV137: refine432681134nres_b,SV208: refine424419629nres_a,SV74: refine432681134nres_b,SV180: refine432681134nres_b > refine424419629nres_a] :
( ( ( ~ ! [SY607: refine432681134nres_b,SY608: refine432681134nres_b] :
( ~ ( ord_le527798542nres_b @ SY607 @ SY608 )
| ( ord_le519537037nres_a @ ( SV180 @ SY607 ) @ ( SV180 @ SY608 ) ) ) )
= $true )
| ( ( ord_le519537037nres_a @ ( SV180 @ SV74 ) @ SV208 )
= $true )
| ( ( ord_le519537037nres_a @ ( SV180 @ SV137 ) @ SV208 )
= $false )
| ( ( ord_le527798542nres_b @ SV74 @ SV137 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1266]) ).
thf(1367,plain,
! [SV209: $o > refine432681134nres_b,SV139: $o > refine432681134nres_b] :
( ( ( ~ ( ord_le1656162903nres_b @ SV139 @ SV209 )
| ~ ~ ( ~ ( ord_le527798542nres_b @ ( SV139 @ $false ) @ ( SV209 @ $false ) )
| ~ ( ord_le527798542nres_b @ ( SV139 @ $true ) @ ( SV209 @ $true ) ) ) )
= $false )
| ( ( ord_le1656162903nres_b @ SV139 @ SV209 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1267]) ).
thf(1368,plain,
! [SV209: $o > refine432681134nres_b,SV139: $o > refine432681134nres_b] :
( ( ( ~ ( ord_le527798542nres_b @ ( SV139 @ $false ) @ ( SV209 @ $false ) )
| ~ ( ord_le527798542nres_b @ ( SV139 @ $true ) @ ( SV209 @ $true ) ) )
= $true )
| ( ( ~ ( ~ ( ord_le1656162903nres_b @ SV139 @ SV209 )
| ~ ~ ( ~ ( ord_le527798542nres_b @ ( SV139 @ $false ) @ ( SV209 @ $false ) )
| ~ ( ord_le527798542nres_b @ ( SV139 @ $true ) @ ( SV209 @ $true ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1268]) ).
thf(1369,plain,
! [SV18: $o] :
( ( ( ~ ( SV18
| $false )
| ~ ( ~ SV18
| ~ $false ) )
= $true )
| ( SV18 = $false )
| ( SV18 = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1289]) ).
thf(1370,plain,
! [SV18: $o] :
( ( ( SV18 = $false )
= $true )
| ( SV18 = $false )
| ( SV18 = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1289]) ).
thf(1371,plain,
! [SV18: $o] :
( ( ( ~ ( SV18
| $false )
| ~ ( ~ SV18
| ~ $false ) )
= $true )
| ( SV18 = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1290]) ).
thf(1372,plain,
! [SV18: $o] :
( ( ( SV18 = $false )
= $true )
| ( SV18 = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1290]) ).
thf(1373,plain,
! [SV18: $o] :
( ( ( ~ ( SV18
| $false )
| ~ ( ~ SV18
| ~ $false ) )
= $true )
| ( $true = $false )
| ( SV18 = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1291]) ).
thf(1374,plain,
! [SV18: $o] :
( ( ( SV18 = $false )
= $true )
| ( $true = $false )
| ( SV18 = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1291]) ).
thf(1375,plain,
! [SV18: $o] :
( ( ( ~ ( SV18
| $false )
| ~ ( ~ SV18
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1292]) ).
thf(1376,plain,
! [SV18: $o] :
( ( ( SV18 = $false )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1292]) ).
thf(1377,plain,
! [SV18: $o] :
( ( SV18 = $true )
| ( SV18 = $false )
| ( ( SV18 = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1293]) ).
thf(1378,plain,
! [SV18: $o] :
( ( $false = $true )
| ( SV18 = $false )
| ( ( SV18 = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1294]) ).
thf(1379,plain,
! [SV18: $o] :
( ( SV18 = $true )
| ( $false = $false )
| ( ( SV18 = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1295]) ).
thf(1380,plain,
! [SV18: $o] :
( ( $false = $true )
| ( $false = $false )
| ( ( SV18 = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1296]) ).
thf(1381,plain,
( ( ( ~ ( $true
| $false )
| ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1297]) ).
thf(1382,plain,
( ( ( $true = $false )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1297]) ).
thf(1383,plain,
( ( ( ~ ( $true
| $false )
| ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1298]) ).
thf(1384,plain,
( ( ( $true = $false )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1298]) ).
thf(1385,plain,
( ( ( ~ ( $true
| $false )
| ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1299]) ).
thf(1386,plain,
( ( ( $true = $false )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1299]) ).
thf(1387,plain,
( ( ( ~ ( $true
| $false )
| ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1300]) ).
thf(1388,plain,
( ( ( $true = $false )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1300]) ).
thf(1389,plain,
( ( $true = $true )
| ( $true = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1301]) ).
thf(1390,plain,
( ( $false = $true )
| ( $true = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1302]) ).
thf(1391,plain,
( ( $true = $true )
| ( $false = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1303]) ).
thf(1392,plain,
( ( $false = $true )
| ( $false = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1304]) ).
thf(1393,plain,
( ( ( ~ ( $false
| $false )
| ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1305]) ).
thf(1394,plain,
( ( ( $false = $false )
= $true )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1305]) ).
thf(1395,plain,
( ( ( ~ ( $false
| $false )
| ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1306]) ).
thf(1396,plain,
( ( ( $false = $false )
= $true )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1306]) ).
thf(1397,plain,
( ( ( ~ ( $false
| $false )
| ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1307]) ).
thf(1398,plain,
( ( ( $false = $false )
= $true )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1307]) ).
thf(1399,plain,
( ( ( ~ ( $false
| $false )
| ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1308]) ).
thf(1400,plain,
( ( ( $false = $false )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1308]) ).
thf(1401,plain,
( ( $false = $true )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1309]) ).
thf(1402,plain,
( ( $false = $true )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1310]) ).
thf(1403,plain,
( ( $false = $true )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1311]) ).
thf(1404,plain,
( ( $false = $true )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1312]) ).
thf(1405,plain,
! [SV19: refine432681134nres_b,SV83: refine432681134nres_b] :
( ( ( ~ ( ord_le527798542nres_b @ SV83 @ SV19 ) )
= $false )
| ( ( ord_le527798542nres_b @ SV83 @ SV19 )
= $false )
| ( ( ord_le527798542nres_b @ SV19 @ SV83 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1313]) ).
thf(1406,plain,
! [SV19: refine432681134nres_b,SV83: refine432681134nres_b] :
( ( ( SV83 != SV19 )
= $false )
| ( ( ord_le527798542nres_b @ SV83 @ SV19 )
= $false )
| ( ( ord_le527798542nres_b @ SV19 @ SV83 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1313]) ).
thf(1407,plain,
! [SV19: refine432681134nres_b,SV83: refine432681134nres_b] :
( ( ( ~ ( ord_le527798542nres_b @ SV83 @ SV19 ) )
= $false )
| ( ( SV83 = SV19 )
= $false )
| ( ( ord_le527798542nres_b @ SV19 @ SV83 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1314]) ).
thf(1408,plain,
! [SV19: refine432681134nres_b,SV83: refine432681134nres_b] :
( ( ( SV83 != SV19 )
= $false )
| ( ( SV83 = SV19 )
= $false )
| ( ( ord_le527798542nres_b @ SV19 @ SV83 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1314]) ).
thf(1409,plain,
! [SV140: refine432681134nres_b,SV85: refine432681134nres_b,SV210: refine432681134nres_b,SV182: refine432681134nres_b,SV21: $o] :
( ( ( ~ ( ~ ~ SV21
| ( ord_le527798542nres_b @ SV182 @ SV210 ) ) )
= $true )
| ( ( ord_le527798542nres_b @ ( if_Ref1732808808nres_b @ SV21 @ SV85 @ SV182 ) @ ( if_Ref1732808808nres_b @ SV21 @ SV140 @ SV210 ) )
= $true )
| ( SV21 = $true ) ),
inference(extcnf_or_pos,[status(thm)],[1316]) ).
thf(1410,plain,
! [SV140: refine432681134nres_b,SV85: refine432681134nres_b,SV210: refine432681134nres_b,SV182: refine432681134nres_b,SV21: $o] :
( ( ( ~ ~ SV21
| ( ord_le527798542nres_b @ SV182 @ SV210 ) )
= $false )
| ( ( ord_le527798542nres_b @ ( if_Ref1732808808nres_b @ SV21 @ SV85 @ SV182 ) @ ( if_Ref1732808808nres_b @ SV21 @ SV140 @ SV210 ) )
= $true )
| ( ( ord_le527798542nres_b @ SV85 @ SV140 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1317]) ).
thf(1411,plain,
! [SV141: refine432681134nres_b,SV86: refine432681134nres_b,SV211: refine432681134nres_b,SV183: refine432681134nres_b] :
( ( ( ~ ( ~ ~ $true
| ( ord_le527798542nres_b @ SV183 @ SV211 ) ) )
= $true )
| ( ( ord_le527798542nres_b @ ( if_Ref1732808808nres_b @ $true @ SV86 @ SV183 ) @ ( if_Ref1732808808nres_b @ $true @ SV141 @ SV211 ) )
= $true )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[1318]) ).
thf(1412,plain,
! [SV141: refine432681134nres_b,SV86: refine432681134nres_b,SV211: refine432681134nres_b,SV183: refine432681134nres_b] :
( ( ( ~ ~ $true
| ( ord_le527798542nres_b @ SV183 @ SV211 ) )
= $false )
| ( ( ord_le527798542nres_b @ ( if_Ref1732808808nres_b @ $true @ SV86 @ SV183 ) @ ( if_Ref1732808808nres_b @ $true @ SV141 @ SV211 ) )
= $true )
| ( ( ord_le527798542nres_b @ SV86 @ SV141 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1319]) ).
thf(1413,plain,
! [SV142: refine432681134nres_b,SV87: refine432681134nres_b,SV212: refine432681134nres_b,SV184: refine432681134nres_b] :
( ( ( ~ ( ~ ~ $false
| ( ord_le527798542nres_b @ SV184 @ SV212 ) ) )
= $true )
| ( ( ord_le527798542nres_b @ ( if_Ref1732808808nres_b @ $false @ SV87 @ SV184 ) @ ( if_Ref1732808808nres_b @ $false @ SV142 @ SV212 ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_or_pos,[status(thm)],[1320]) ).
thf(1414,plain,
! [SV142: refine432681134nres_b,SV87: refine432681134nres_b,SV212: refine432681134nres_b,SV184: refine432681134nres_b] :
( ( ( ~ ~ $false
| ( ord_le527798542nres_b @ SV184 @ SV212 ) )
= $false )
| ( ( ord_le527798542nres_b @ ( if_Ref1732808808nres_b @ $false @ SV87 @ SV184 ) @ ( if_Ref1732808808nres_b @ $false @ SV142 @ SV212 ) )
= $true )
| ( ( ord_le527798542nres_b @ SV87 @ SV142 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1321]) ).
thf(1415,plain,
! [SV147: a > $o,SV30: refine424419629nres_a,SV95: a > $o] :
( ( ( SV95 @ ( sK12_SY547 @ SV30 @ SV147 @ SV95 ) )
= $true )
| ( ( ord_le519537037nres_a @ SV30 @ ( refine1198353288_RES_a @ ( collect_a @ SV147 ) ) )
= $true )
| ( ( ord_le519537037nres_a @ SV30 @ ( refine1198353288_RES_a @ ( collect_a @ SV95 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1322]) ).
thf(1416,plain,
! [SV148: refine424419629nres_a,SV96: refine424419629nres_a,SV31: refine424419629nres_a > refine424419629nres_a > $o] :
( ( ( ~ ! [SY285: set_a,SY286: set_a] : ( SV31 @ ( refine1198353288_RES_a @ SY285 ) @ ( refine1198353288_RES_a @ SY286 ) ) )
= $true )
| ( ( SV31 @ SV96 @ SV148 )
= $true )
| ( ( SV31 @ ( refine1198353288_RES_a @ ( sK14_SY284 @ SV148 @ SV96 @ SV31 ) ) @ refine464223677AILi_a )
= $false )
| ( ( SV31 @ refine464223677AILi_a @ ( sK4_SY283 @ SV148 @ SV96 @ SV31 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1324]) ).
thf(1417,plain,
! [SV97: a > $o,SV32: a > $o] :
( ( ( SV32 @ ( sK1_SY442 @ SV97 @ SV32 ) )
= $false )
| ( ( ~ ( SV97 @ ( sK1_SY442 @ SV97 @ SV32 ) ) )
= $true )
| ( ( ( collect_a @ SV32 )
= ( collect_a @ SV97 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1326]) ).
thf(1418,plain,
! [SV98: refine432681134nres_b,SV33: refine432681134nres_b,SV186: refine432681134nres_b,SV149: refine432681134nres_b] :
( ( ( SV149 = SV186 )
= $false )
| ( ( ord_le527798542nres_b @ SV33 @ SV186 )
= $true )
| ( ( ord_le527798542nres_b @ SV98 @ SV149 )
= $false )
| ( ( SV33 = SV98 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1327]) ).
thf(1419,plain,
! [SV99: refine432681134nres_b,SV187: refine424419629nres_a,SV34: refine432681134nres_b,SV150: refine432681134nres_b > refine424419629nres_a] :
( ( ( ! [SY554: refine432681134nres_b,SY555: refine432681134nres_b] :
( ~ ( ord_le527798542nres_b @ SY554 @ SY555 )
| ( ord_le519537037nres_a @ ( SV150 @ SY554 ) @ ( SV150 @ SY555 ) ) ) )
= $false )
| ( ( ord_le519537037nres_a @ ( SV150 @ SV34 ) @ SV187 )
= $true )
| ( ( ( SV150 @ SV99 )
= SV187 )
= $false )
| ( ( ord_le527798542nres_b @ SV34 @ SV99 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1328]) ).
thf(1420,plain,
! [SV100: refine432681134nres_b,SV188: refine432681134nres_b,SV35: refine432681134nres_b,SV151: refine432681134nres_b > refine432681134nres_b] :
( ( ( ! [SY557: refine432681134nres_b,SY558: refine432681134nres_b] :
( ~ ( ord_le527798542nres_b @ SY557 @ SY558 )
| ( ord_le527798542nres_b @ ( SV151 @ SY557 ) @ ( SV151 @ SY558 ) ) ) )
= $false )
| ( ( ord_le527798542nres_b @ ( SV151 @ SV35 ) @ SV188 )
= $true )
| ( ( ( SV151 @ SV100 )
= SV188 )
= $false )
| ( ( ord_le527798542nres_b @ SV35 @ SV100 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1329]) ).
thf(1421,plain,
! [SV102: refine432681134nres_b,SV153: refine432681134nres_b,SV189: refine432681134nres_b,SV37: $o] :
( ( ( ~ ~ SV37
| ( ord_le527798542nres_b @ SV189 @ SV153 ) )
= $false )
| ( ( ord_le527798542nres_b @ ( if_Ref1732808808nres_b @ SV37 @ SV102 @ SV189 ) @ SV153 )
= $true )
| ( SV37 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1330]) ).
thf(1422,plain,
! [SV153: refine432681134nres_b,SV189: refine432681134nres_b,SV102: refine432681134nres_b,SV37: $o] :
( ( ( ~ ~ SV37 )
= $false )
| ( ( ord_le527798542nres_b @ ( if_Ref1732808808nres_b @ SV37 @ SV102 @ SV189 ) @ SV153 )
= $true )
| ( ( ord_le527798542nres_b @ SV102 @ SV153 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1331]) ).
thf(1423,plain,
! [SV102: refine432681134nres_b,SV37: $o,SV153: refine432681134nres_b,SV189: refine432681134nres_b] :
( ( ( ord_le527798542nres_b @ SV189 @ SV153 )
= $false )
| ( ( ord_le527798542nres_b @ ( if_Ref1732808808nres_b @ SV37 @ SV102 @ SV189 ) @ SV153 )
= $true )
| ( ( ord_le527798542nres_b @ SV102 @ SV153 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1331]) ).
thf(1424,plain,
! [SV103: refine432681134nres_b,SV154: refine432681134nres_b,SV190: refine432681134nres_b] :
( ( ( ~ ~ $true
| ( ord_le527798542nres_b @ SV190 @ SV154 ) )
= $false )
| ( ( ord_le527798542nres_b @ ( if_Ref1732808808nres_b @ $true @ SV103 @ SV190 ) @ SV154 )
= $true )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1332]) ).
thf(1425,plain,
! [SV154: refine432681134nres_b,SV190: refine432681134nres_b,SV103: refine432681134nres_b] :
( ( ( ~ ~ $true )
= $false )
| ( ( ord_le527798542nres_b @ ( if_Ref1732808808nres_b @ $true @ SV103 @ SV190 ) @ SV154 )
= $true )
| ( ( ord_le527798542nres_b @ SV103 @ SV154 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1333]) ).
thf(1426,plain,
! [SV103: refine432681134nres_b,SV154: refine432681134nres_b,SV190: refine432681134nres_b] :
( ( ( ord_le527798542nres_b @ SV190 @ SV154 )
= $false )
| ( ( ord_le527798542nres_b @ ( if_Ref1732808808nres_b @ $true @ SV103 @ SV190 ) @ SV154 )
= $true )
| ( ( ord_le527798542nres_b @ SV103 @ SV154 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1333]) ).
thf(1427,plain,
! [SV104: refine432681134nres_b,SV155: refine432681134nres_b,SV191: refine432681134nres_b] :
( ( ( ~ ~ $false
| ( ord_le527798542nres_b @ SV191 @ SV155 ) )
= $false )
| ( ( ord_le527798542nres_b @ ( if_Ref1732808808nres_b @ $false @ SV104 @ SV191 ) @ SV155 )
= $true )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1334]) ).
thf(1428,plain,
! [SV155: refine432681134nres_b,SV191: refine432681134nres_b,SV104: refine432681134nres_b] :
( ( ( ~ ~ $false )
= $false )
| ( ( ord_le527798542nres_b @ ( if_Ref1732808808nres_b @ $false @ SV104 @ SV191 ) @ SV155 )
= $true )
| ( ( ord_le527798542nres_b @ SV104 @ SV155 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1335]) ).
thf(1429,plain,
! [SV104: refine432681134nres_b,SV155: refine432681134nres_b,SV191: refine432681134nres_b] :
( ( ( ord_le527798542nres_b @ SV191 @ SV155 )
= $false )
| ( ( ord_le527798542nres_b @ ( if_Ref1732808808nres_b @ $false @ SV104 @ SV191 ) @ SV155 )
= $true )
| ( ( ord_le527798542nres_b @ SV104 @ SV155 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1335]) ).
thf(1430,plain,
! [SV105: refine424419629nres_a,SV156: refine424419629nres_a,SV38: refine424419629nres_a > refine424419629nres_a > $o] :
( ( ( SV38 @ ( refine1198353288_RES_a @ ( sK15_SY310 @ SV156 @ SV105 @ SV38 ) ) @ ( refine1198353288_RES_a @ ( sK17_SY638 @ SV105 @ SV156 @ SV38 ) ) )
= $false )
| ( ( ~ ! [SY312: set_a] : ( SV38 @ refine464223677AILi_a @ ( refine1198353288_RES_a @ SY312 ) )
| ( SV38 @ SV105 @ SV156 ) )
= $true )
| ( ( SV38 @ ( sK5_SY309 @ SV156 @ SV105 @ SV38 ) @ refine464223677AILi_a )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1336]) ).
thf(1431,plain,
! [SV107: refine432681134nres_b,SV193: refine432681134nres_b,SV40: refine432681134nres_b,SV158: refine432681134nres_b > refine432681134nres_b] :
( ( ( ! [SY569: refine432681134nres_b,SY570: refine432681134nres_b] :
( ~ ( ord_le527798542nres_b @ SY569 @ SY570 )
| ( ord_le527798542nres_b @ ( SV158 @ SY569 ) @ ( SV158 @ SY570 ) ) ) )
= $false )
| ( ( ord_le527798542nres_b @ ( SV158 @ SV40 ) @ SV193 )
= $true )
| ( ( ord_le527798542nres_b @ ( SV158 @ SV107 ) @ SV193 )
= $false )
| ( ( ord_le527798542nres_b @ SV40 @ SV107 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1338]) ).
thf(1432,plain,
! [SV159: refine424419629nres_a,SV194: refine424419629nres_a,SV41: refine432681134nres_b,SV108: refine424419629nres_a > refine432681134nres_b] :
( ( ( ! [SY474: refine424419629nres_a,SY475: refine424419629nres_a] :
( ~ ( ord_le519537037nres_a @ SY474 @ SY475 )
| ( ord_le527798542nres_b @ ( SV108 @ SY474 ) @ ( SV108 @ SY475 ) ) ) )
= $false )
| ( ( ord_le527798542nres_b @ SV41 @ ( SV108 @ SV194 ) )
= $true )
| ( ( ord_le519537037nres_a @ SV159 @ SV194 )
= $false )
| ( ( ord_le527798542nres_b @ SV41 @ ( SV108 @ SV159 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1339]) ).
thf(1433,plain,
! [SV196: refine432681134nres_b,SV111: refine432681134nres_b] :
( ( ( SV111 != SV196 )
= $false )
| ( ( SV111 = SV196 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1340]) ).
thf(1434,plain,
! [SV196: refine432681134nres_b,SV111: refine432681134nres_b] :
( ( ( ~ ~ ( ~ ( ord_le527798542nres_b @ SV111 @ SV196 )
| ~ ( ord_le527798542nres_b @ SV196 @ SV111 ) ) )
= $false )
| ( ( SV111 = SV196 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1340]) ).
thf(1435,plain,
! [SV196: refine432681134nres_b,SV111: refine432681134nres_b] :
( ( ( ~ ( ord_le527798542nres_b @ SV111 @ SV196 ) )
= $true )
| ( ( ~ ( ord_le527798542nres_b @ SV196 @ SV111 ) )
= $true )
| ( ( ~ ( ( SV111 != SV196 )
| ~ ~ ( ~ ( ord_le527798542nres_b @ SV111 @ SV196 )
| ~ ( ord_le527798542nres_b @ SV196 @ SV111 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1341]) ).
thf(1436,plain,
! [SV164: refine432681134nres_b,SV197: refine432681134nres_b,SV49: refine424419629nres_a,SV116: refine432681134nres_b > refine424419629nres_a] :
( ( ( ! [SY485: refine432681134nres_b,SY486: refine432681134nres_b] :
( ~ ( ord_le527798542nres_b @ SY485 @ SY486 )
| ( ord_le519537037nres_a @ ( SV116 @ SY485 ) @ ( SV116 @ SY486 ) ) ) )
= $false )
| ( ( ord_le519537037nres_a @ SV49 @ ( SV116 @ SV197 ) )
= $true )
| ( ( ord_le527798542nres_b @ SV164 @ SV197 )
= $false )
| ( ( ord_le519537037nres_a @ SV49 @ ( SV116 @ SV164 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1342]) ).
thf(1437,plain,
! [SV165: refine432681134nres_b,SV198: refine432681134nres_b,SV50: refine432681134nres_b,SV117: refine432681134nres_b > refine432681134nres_b] :
( ( ( ! [SY489: refine432681134nres_b,SY490: refine432681134nres_b] :
( ~ ( ord_le527798542nres_b @ SY489 @ SY490 )
| ( ord_le527798542nres_b @ ( SV117 @ SY489 ) @ ( SV117 @ SY490 ) ) ) )
= $false )
| ( ( ord_le527798542nres_b @ SV50 @ ( SV117 @ SV198 ) )
= $true )
| ( ( ord_le527798542nres_b @ SV165 @ SV198 )
= $false )
| ( ( SV50
= ( SV117 @ SV165 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1343]) ).
thf(1438,plain,
! [SV201: refine432681134nres_b,SV120: refine432681134nres_b] :
( ( ( SV120 != SV201 )
= $false )
| ( ( SV120 = SV201 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1347]) ).
thf(1439,plain,
! [SV201: refine432681134nres_b,SV120: refine432681134nres_b] :
( ( ( ~ ~ ( ~ ( ord_le527798542nres_b @ SV120 @ SV201 )
| ~ ( ord_le527798542nres_b @ SV201 @ SV120 ) ) )
= $false )
| ( ( SV120 = SV201 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1347]) ).
thf(1440,plain,
! [SV201: refine432681134nres_b,SV120: refine432681134nres_b] :
( ( ( ~ ( ord_le527798542nres_b @ SV120 @ SV201 ) )
= $true )
| ( ( ~ ( ord_le527798542nres_b @ SV201 @ SV120 ) )
= $true )
| ( ( ~ ( ( SV120 != SV201 )
| ~ ~ ( ~ ( ord_le527798542nres_b @ SV120 @ SV201 )
| ~ ( ord_le527798542nres_b @ SV201 @ SV120 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1348]) ).
thf(1441,plain,
! [SV123: refine424419629nres_a] :
( ( ( ! [SY500: set_a] :
( SV123
!= ( refine1198353288_RES_a @ SY500 ) ) )
= $false )
| ( ( refine412683989fail_a @ SV123 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1350]) ).
thf(1442,plain,
! [SV215: set_a,SV123: refine424419629nres_a] :
( ( ( ~ ( refine412683989fail_a @ SV123 )
| ~ ~ ! [SY500: set_a] :
( SV123
!= ( refine1198353288_RES_a @ SY500 ) ) )
= $false )
| ( ( SV123
= ( refine1198353288_RES_a @ SV215 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1351]) ).
thf(1443,plain,
! [SV124: refine424419629nres_a,SV202: refine432681134nres_b,SV59: refine424419629nres_a,SV170: refine424419629nres_a > refine432681134nres_b] :
( ( ( ! [SY585: refine424419629nres_a,SY586: refine424419629nres_a] :
( ~ ( ord_le519537037nres_a @ SY585 @ SY586 )
| ( ord_le527798542nres_b @ ( SV170 @ SY585 ) @ ( SV170 @ SY586 ) ) ) )
= $false )
| ( ( ord_le527798542nres_b @ ( SV170 @ SV59 ) @ SV202 )
= $true )
| ( ( ( SV170 @ SV124 )
= SV202 )
= $false )
| ( ( ord_le519537037nres_a @ SV59 @ SV124 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1352]) ).
thf(1444,plain,
! [SV171: refine432681134nres_b,SV203: refine432681134nres_b,SV60: refine432681134nres_b,SV125: refine432681134nres_b > refine432681134nres_b] :
( ( ( ! [SY507: refine432681134nres_b,SY508: refine432681134nres_b] :
( ~ ( ord_le527798542nres_b @ SY507 @ SY508 )
| ( ord_le527798542nres_b @ ( SV125 @ SY507 ) @ ( SV125 @ SY508 ) ) ) )
= $false )
| ( ( ord_le527798542nres_b @ SV60 @ ( SV125 @ SV203 ) )
= $true )
| ( ( ord_le527798542nres_b @ SV171 @ SV203 )
= $false )
| ( ( ord_le527798542nres_b @ SV60 @ ( SV125 @ SV171 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1353]) ).
thf(1445,plain,
! [SV172: refine424419629nres_a,SV126: refine424419629nres_a,SV61: refine424419629nres_a > refine424419629nres_a > $o] :
( ( ( ~ ! [SY379: set_a,SY380: set_a] : ( SV61 @ ( refine1198353288_RES_a @ SY379 ) @ ( refine1198353288_RES_a @ SY380 ) ) )
= $true )
| ( ( SV61 @ SV126 @ SV172 )
= $true )
| ( ( SV61 @ refine464223677AILi_a @ ( refine1198353288_RES_a @ ( sK16_SY378 @ SV172 @ SV126 @ SV61 ) ) )
= $false )
| ( ( SV61 @ ( sK7_SY377 @ SV172 @ SV126 @ SV61 ) @ refine464223677AILi_a )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1354]) ).
thf(1446,plain,
! [SV127: a > $o,SV216: a,SV62: a > $o] :
( ( ( ~ ( SV62 @ SV216 )
| ( SV127 @ SV216 ) )
= $true )
| ( ( ord_less_eq_set_a @ ( collect_a @ SV62 ) @ ( collect_a @ SV127 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1356]) ).
thf(1447,plain,
! [SV127: a > $o,SV62: a > $o] :
( ( ( ~ ( ord_less_eq_set_a @ ( collect_a @ SV62 ) @ ( collect_a @ SV127 ) )
| ~ ! [SY514: a] :
( ~ ( SV62 @ SY514 )
| ( SV127 @ SY514 ) ) )
= $false )
| ( ( SV62 @ ( sK11_SY514 @ SV127 @ SV62 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1357]) ).
thf(1448,plain,
! [SV127: a > $o,SV62: a > $o] :
( ( ( ~ ( ord_less_eq_set_a @ ( collect_a @ SV62 ) @ ( collect_a @ SV127 ) ) )
= $false )
| ( ( SV127 @ ( sK11_SY514 @ SV127 @ SV62 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1358]) ).
thf(1449,plain,
! [SV127: a > $o,SV62: a > $o] :
( ( ( ~ ! [SY514: a] :
( ~ ( SV62 @ SY514 )
| ( SV127 @ SY514 ) ) )
= $false )
| ( ( SV127 @ ( sK11_SY514 @ SV127 @ SV62 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1358]) ).
thf(1450,plain,
! [SV173: refine432681134nres_b,SV204: refine432681134nres_b,SV65: refine424419629nres_a,SV128: refine432681134nres_b > refine424419629nres_a] :
( ( ( ! [SY517: refine432681134nres_b,SY518: refine432681134nres_b] :
( ~ ( ord_le527798542nres_b @ SY517 @ SY518 )
| ( ord_le519537037nres_a @ ( SV128 @ SY517 ) @ ( SV128 @ SY518 ) ) ) )
= $false )
| ( ( ord_le519537037nres_a @ SV65 @ ( SV128 @ SV204 ) )
= $true )
| ( ( ord_le527798542nres_b @ SV173 @ SV204 )
= $false )
| ( ( SV65
= ( SV128 @ SV173 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1359]) ).
thf(1451,plain,
! [SV205: refine432681134nres_b,SV131: refine432681134nres_b] :
( ( ( SV131 != SV205 )
= $false )
| ( ( SV131 = SV205 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1360]) ).
thf(1452,plain,
! [SV131: refine432681134nres_b,SV205: refine432681134nres_b] :
( ( ( ~ ~ ( ~ ( ord_le527798542nres_b @ SV205 @ SV131 )
| ~ ( ord_le527798542nres_b @ SV131 @ SV205 ) ) )
= $false )
| ( ( SV131 = SV205 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1360]) ).
thf(1453,plain,
! [SV131: refine432681134nres_b,SV205: refine432681134nres_b] :
( ( ( ~ ( ord_le527798542nres_b @ SV205 @ SV131 ) )
= $true )
| ( ( ~ ( ord_le527798542nres_b @ SV131 @ SV205 ) )
= $true )
| ( ( ~ ( ( SV131 != SV205 )
| ~ ~ ( ~ ( ord_le527798542nres_b @ SV205 @ SV131 )
| ~ ( ord_le527798542nres_b @ SV131 @ SV205 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1361]) ).
thf(1454,plain,
! [SV132: refine424419629nres_a,SV206: refine432681134nres_b,SV69: refine424419629nres_a,SV177: refine424419629nres_a > refine432681134nres_b] :
( ( ( ! [SY598: refine424419629nres_a,SY599: refine424419629nres_a] :
( ~ ( ord_le519537037nres_a @ SY598 @ SY599 )
| ( ord_le527798542nres_b @ ( SV177 @ SY598 ) @ ( SV177 @ SY599 ) ) ) )
= $false )
| ( ( ord_le527798542nres_b @ ( SV177 @ SV69 ) @ SV206 )
= $true )
| ( ( ord_le527798542nres_b @ ( SV177 @ SV132 ) @ SV206 )
= $false )
| ( ( ord_le519537037nres_a @ SV69 @ SV132 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1362]) ).
thf(1455,plain,
! [SV133: refine432681134nres_b,SV178: refine432681134nres_b > $o,SV70: refine432681134nres_b > $o] :
( ( ( SV70 @ ( sK13_SY528 @ SV178 @ SV133 @ SV70 ) )
= $true )
| ( ( ~ ! [SY601: refine432681134nres_b] :
( ~ ( SV70 @ SY601 )
| ~ ! [SY404: refine432681134nres_b] :
( ~ ( SV70 @ SY404 )
| ( ord_le527798542nres_b @ SY404 @ SY601 ) )
| ( SV178 @ SY601 ) )
| ( SV178 @ ( order_1722590613nres_b @ SV70 ) ) )
= $true )
| ( ( SV70 @ SV133 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1363]) ).
thf(1456,plain,
! [SV133: refine432681134nres_b,SV178: refine432681134nres_b > $o,SV70: refine432681134nres_b > $o] :
( ( ( ~ ! [SY601: refine432681134nres_b] :
( ~ ( SV70 @ SY601 )
| ~ ! [SY404: refine432681134nres_b] :
( ~ ( SV70 @ SY404 )
| ( ord_le527798542nres_b @ SY404 @ SY601 ) )
| ( SV178 @ SY601 ) ) )
= $true )
| ( ( SV178 @ ( order_1722590613nres_b @ SV70 ) )
= $true )
| ( ( ord_le527798542nres_b @ ( sK13_SY528 @ SV178 @ SV133 @ SV70 ) @ SV133 )
= $false )
| ( ( SV70 @ SV133 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1364]) ).
thf(1457,plain,
! [SV179: refine424419629nres_a,SV207: refine424419629nres_a,SV72: refine432681134nres_b,SV135: refine424419629nres_a > refine432681134nres_b] :
( ( ( ! [SY533: refine424419629nres_a,SY534: refine424419629nres_a] :
( ~ ( ord_le519537037nres_a @ SY533 @ SY534 )
| ( ord_le527798542nres_b @ ( SV135 @ SY533 ) @ ( SV135 @ SY534 ) ) ) )
= $false )
| ( ( ord_le527798542nres_b @ SV72 @ ( SV135 @ SV207 ) )
= $true )
| ( ( ord_le519537037nres_a @ SV179 @ SV207 )
= $false )
| ( ( SV72
= ( SV135 @ SV179 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1365]) ).
thf(1458,plain,
! [SV137: refine432681134nres_b,SV208: refine424419629nres_a,SV74: refine432681134nres_b,SV180: refine432681134nres_b > refine424419629nres_a] :
( ( ( ! [SY607: refine432681134nres_b,SY608: refine432681134nres_b] :
( ~ ( ord_le527798542nres_b @ SY607 @ SY608 )
| ( ord_le519537037nres_a @ ( SV180 @ SY607 ) @ ( SV180 @ SY608 ) ) ) )
= $false )
| ( ( ord_le519537037nres_a @ ( SV180 @ SV74 ) @ SV208 )
= $true )
| ( ( ord_le519537037nres_a @ ( SV180 @ SV137 ) @ SV208 )
= $false )
| ( ( ord_le527798542nres_b @ SV74 @ SV137 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1366]) ).
thf(1459,plain,
! [SV209: $o > refine432681134nres_b,SV139: $o > refine432681134nres_b] :
( ( ( ~ ( ord_le1656162903nres_b @ SV139 @ SV209 ) )
= $false )
| ( ( ord_le1656162903nres_b @ SV139 @ SV209 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1367]) ).
thf(1460,plain,
! [SV209: $o > refine432681134nres_b,SV139: $o > refine432681134nres_b] :
( ( ( ~ ~ ( ~ ( ord_le527798542nres_b @ ( SV139 @ $false ) @ ( SV209 @ $false ) )
| ~ ( ord_le527798542nres_b @ ( SV139 @ $true ) @ ( SV209 @ $true ) ) ) )
= $false )
| ( ( ord_le1656162903nres_b @ SV139 @ SV209 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1367]) ).
thf(1461,plain,
! [SV209: $o > refine432681134nres_b,SV139: $o > refine432681134nres_b] :
( ( ( ~ ( ord_le527798542nres_b @ ( SV139 @ $false ) @ ( SV209 @ $false ) ) )
= $true )
| ( ( ~ ( ord_le527798542nres_b @ ( SV139 @ $true ) @ ( SV209 @ $true ) ) )
= $true )
| ( ( ~ ( ~ ( ord_le1656162903nres_b @ SV139 @ SV209 )
| ~ ~ ( ~ ( ord_le527798542nres_b @ ( SV139 @ $false ) @ ( SV209 @ $false ) )
| ~ ( ord_le527798542nres_b @ ( SV139 @ $true ) @ ( SV209 @ $true ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1368]) ).
thf(1462,plain,
! [SV18: $o] :
( ( ( ~ ( SV18
| $false ) )
= $true )
| ( ( ~ ( ~ SV18
| ~ $false ) )
= $true )
| ( SV18 = $false )
| ( SV18 = $true ) ),
inference(extcnf_or_pos,[status(thm)],[1369]) ).
thf(1463,plain,
! [SV18: $o] :
( ( ( ~ ( SV18
| $false ) )
= $true )
| ( ( ~ ( ~ SV18
| ~ $false ) )
= $true )
| ( SV18 = $false )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[1371]) ).
thf(1464,plain,
! [SV18: $o] :
( ( ( ~ ( SV18
| $false ) )
= $true )
| ( ( ~ ( ~ SV18
| ~ $false ) )
= $true )
| ( $true = $false )
| ( SV18 = $true ) ),
inference(extcnf_or_pos,[status(thm)],[1373]) ).
thf(1465,plain,
! [SV18: $o] :
( ( ( ~ ( SV18
| $false ) )
= $true )
| ( ( ~ ( ~ SV18
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[1375]) ).
thf(1466,plain,
( ( ( ~ ( $true
| $false ) )
= $true )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[1381]) ).
thf(1467,plain,
( ( ( ~ ( $true
| $false ) )
= $true )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[1383]) ).
thf(1468,plain,
( ( ( ~ ( $true
| $false ) )
= $true )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[1385]) ).
thf(1469,plain,
( ( ( ~ ( $true
| $false ) )
= $true )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[1387]) ).
thf(1470,plain,
( ( ( ~ ( $false
| $false ) )
= $true )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_or_pos,[status(thm)],[1393]) ).
thf(1471,plain,
( ( ( ~ ( $false
| $false ) )
= $true )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[1395]) ).
thf(1472,plain,
( ( ( ~ ( $false
| $false ) )
= $true )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_or_pos,[status(thm)],[1397]) ).
thf(1473,plain,
( ( ( ~ ( $false
| $false ) )
= $true )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[1399]) ).
thf(1474,plain,
! [SV19: refine432681134nres_b,SV83: refine432681134nres_b] :
( ( ( ord_le527798542nres_b @ SV83 @ SV19 )
= $true )
| ( ( ord_le527798542nres_b @ SV83 @ SV19 )
= $false )
| ( ( ord_le527798542nres_b @ SV19 @ SV83 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1405]) ).
thf(1475,plain,
! [SV19: refine432681134nres_b,SV83: refine432681134nres_b] :
( ( ( SV83 = SV19 )
= $true )
| ( ( ord_le527798542nres_b @ SV83 @ SV19 )
= $false )
| ( ( ord_le527798542nres_b @ SV19 @ SV83 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1406]) ).
thf(1476,plain,
! [SV19: refine432681134nres_b,SV83: refine432681134nres_b] :
( ( ( ord_le527798542nres_b @ SV83 @ SV19 )
= $true )
| ( ( SV83 = SV19 )
= $false )
| ( ( ord_le527798542nres_b @ SV19 @ SV83 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1407]) ).
thf(1477,plain,
! [SV19: refine432681134nres_b,SV83: refine432681134nres_b] :
( ( ( SV83 = SV19 )
= $true )
| ( ( SV83 = SV19 )
= $false )
| ( ( ord_le527798542nres_b @ SV19 @ SV83 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1408]) ).
thf(1478,plain,
! [SV140: refine432681134nres_b,SV85: refine432681134nres_b,SV210: refine432681134nres_b,SV182: refine432681134nres_b,SV21: $o] :
( ( ( ~ ~ SV21
| ( ord_le527798542nres_b @ SV182 @ SV210 ) )
= $false )
| ( ( ord_le527798542nres_b @ ( if_Ref1732808808nres_b @ SV21 @ SV85 @ SV182 ) @ ( if_Ref1732808808nres_b @ SV21 @ SV140 @ SV210 ) )
= $true )
| ( SV21 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1409]) ).
thf(1479,plain,
! [SV210: refine432681134nres_b,SV140: refine432681134nres_b,SV182: refine432681134nres_b,SV85: refine432681134nres_b,SV21: $o] :
( ( ( ~ ~ SV21 )
= $false )
| ( ( ord_le527798542nres_b @ ( if_Ref1732808808nres_b @ SV21 @ SV85 @ SV182 ) @ ( if_Ref1732808808nres_b @ SV21 @ SV140 @ SV210 ) )
= $true )
| ( ( ord_le527798542nres_b @ SV85 @ SV140 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1410]) ).
thf(1480,plain,
! [SV140: refine432681134nres_b,SV85: refine432681134nres_b,SV21: $o,SV210: refine432681134nres_b,SV182: refine432681134nres_b] :
( ( ( ord_le527798542nres_b @ SV182 @ SV210 )
= $false )
| ( ( ord_le527798542nres_b @ ( if_Ref1732808808nres_b @ SV21 @ SV85 @ SV182 ) @ ( if_Ref1732808808nres_b @ SV21 @ SV140 @ SV210 ) )
= $true )
| ( ( ord_le527798542nres_b @ SV85 @ SV140 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1410]) ).
thf(1481,plain,
! [SV141: refine432681134nres_b,SV86: refine432681134nres_b,SV211: refine432681134nres_b,SV183: refine432681134nres_b] :
( ( ( ~ ~ $true
| ( ord_le527798542nres_b @ SV183 @ SV211 ) )
= $false )
| ( ( ord_le527798542nres_b @ ( if_Ref1732808808nres_b @ $true @ SV86 @ SV183 ) @ ( if_Ref1732808808nres_b @ $true @ SV141 @ SV211 ) )
= $true )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1411]) ).
thf(1482,plain,
! [SV211: refine432681134nres_b,SV141: refine432681134nres_b,SV183: refine432681134nres_b,SV86: refine432681134nres_b] :
( ( ( ~ ~ $true )
= $false )
| ( ( ord_le527798542nres_b @ ( if_Ref1732808808nres_b @ $true @ SV86 @ SV183 ) @ ( if_Ref1732808808nres_b @ $true @ SV141 @ SV211 ) )
= $true )
| ( ( ord_le527798542nres_b @ SV86 @ SV141 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1412]) ).
thf(1483,plain,
! [SV141: refine432681134nres_b,SV86: refine432681134nres_b,SV211: refine432681134nres_b,SV183: refine432681134nres_b] :
( ( ( ord_le527798542nres_b @ SV183 @ SV211 )
= $false )
| ( ( ord_le527798542nres_b @ ( if_Ref1732808808nres_b @ $true @ SV86 @ SV183 ) @ ( if_Ref1732808808nres_b @ $true @ SV141 @ SV211 ) )
= $true )
| ( ( ord_le527798542nres_b @ SV86 @ SV141 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1412]) ).
thf(1484,plain,
! [SV142: refine432681134nres_b,SV87: refine432681134nres_b,SV212: refine432681134nres_b,SV184: refine432681134nres_b] :
( ( ( ~ ~ $false
| ( ord_le527798542nres_b @ SV184 @ SV212 ) )
= $false )
| ( ( ord_le527798542nres_b @ ( if_Ref1732808808nres_b @ $false @ SV87 @ SV184 ) @ ( if_Ref1732808808nres_b @ $false @ SV142 @ SV212 ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1413]) ).
thf(1485,plain,
! [SV212: refine432681134nres_b,SV142: refine432681134nres_b,SV184: refine432681134nres_b,SV87: refine432681134nres_b] :
( ( ( ~ ~ $false )
= $false )
| ( ( ord_le527798542nres_b @ ( if_Ref1732808808nres_b @ $false @ SV87 @ SV184 ) @ ( if_Ref1732808808nres_b @ $false @ SV142 @ SV212 ) )
= $true )
| ( ( ord_le527798542nres_b @ SV87 @ SV142 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1414]) ).
thf(1486,plain,
! [SV142: refine432681134nres_b,SV87: refine432681134nres_b,SV212: refine432681134nres_b,SV184: refine432681134nres_b] :
( ( ( ord_le527798542nres_b @ SV184 @ SV212 )
= $false )
| ( ( ord_le527798542nres_b @ ( if_Ref1732808808nres_b @ $false @ SV87 @ SV184 ) @ ( if_Ref1732808808nres_b @ $false @ SV142 @ SV212 ) )
= $true )
| ( ( ord_le527798542nres_b @ SV87 @ SV142 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1414]) ).
thf(1487,plain,
! [SV148: refine424419629nres_a,SV96: refine424419629nres_a,SV31: refine424419629nres_a > refine424419629nres_a > $o] :
( ( ( ! [SY285: set_a,SY286: set_a] : ( SV31 @ ( refine1198353288_RES_a @ SY285 ) @ ( refine1198353288_RES_a @ SY286 ) ) )
= $false )
| ( ( SV31 @ SV96 @ SV148 )
= $true )
| ( ( SV31 @ ( refine1198353288_RES_a @ ( sK14_SY284 @ SV148 @ SV96 @ SV31 ) ) @ refine464223677AILi_a )
= $false )
| ( ( SV31 @ refine464223677AILi_a @ ( sK4_SY283 @ SV148 @ SV96 @ SV31 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1416]) ).
thf(1488,plain,
! [SV32: a > $o,SV97: a > $o] :
( ( ( SV97 @ ( sK1_SY442 @ SV97 @ SV32 ) )
= $false )
| ( ( SV32 @ ( sK1_SY442 @ SV97 @ SV32 ) )
= $false )
| ( ( ( collect_a @ SV32 )
= ( collect_a @ SV97 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1417]) ).
thf(1489,plain,
! [SV150: refine432681134nres_b > refine424419629nres_a,SV34: refine432681134nres_b,SV187: refine424419629nres_a,SV99: refine432681134nres_b] :
( ( ( ! [SY639: refine432681134nres_b] :
( ~ ( ord_le527798542nres_b @ ( sK18_SY554 @ SV99 @ SV187 @ SV34 @ SV150 ) @ SY639 )
| ( ord_le519537037nres_a @ ( SV150 @ ( sK18_SY554 @ SV99 @ SV187 @ SV34 @ SV150 ) ) @ ( SV150 @ SY639 ) ) ) )
= $false )
| ( ( ord_le519537037nres_a @ ( SV150 @ SV34 ) @ SV187 )
= $true )
| ( ( ( SV150 @ SV99 )
= SV187 )
= $false )
| ( ( ord_le527798542nres_b @ SV34 @ SV99 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1419]) ).
thf(1490,plain,
! [SV151: refine432681134nres_b > refine432681134nres_b,SV35: refine432681134nres_b,SV188: refine432681134nres_b,SV100: refine432681134nres_b] :
( ( ( ! [SY640: refine432681134nres_b] :
( ~ ( ord_le527798542nres_b @ ( sK19_SY557 @ SV100 @ SV188 @ SV35 @ SV151 ) @ SY640 )
| ( ord_le527798542nres_b @ ( SV151 @ ( sK19_SY557 @ SV100 @ SV188 @ SV35 @ SV151 ) ) @ ( SV151 @ SY640 ) ) ) )
= $false )
| ( ( ord_le527798542nres_b @ ( SV151 @ SV35 ) @ SV188 )
= $true )
| ( ( ( SV151 @ SV100 )
= SV188 )
= $false )
| ( ( ord_le527798542nres_b @ SV35 @ SV100 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1420]) ).
thf(1491,plain,
! [SV153: refine432681134nres_b,SV189: refine432681134nres_b,SV102: refine432681134nres_b,SV37: $o] :
( ( ( ~ ~ SV37 )
= $false )
| ( ( ord_le527798542nres_b @ ( if_Ref1732808808nres_b @ SV37 @ SV102 @ SV189 ) @ SV153 )
= $true )
| ( SV37 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1421]) ).
thf(1492,plain,
! [SV102: refine432681134nres_b,SV37: $o,SV153: refine432681134nres_b,SV189: refine432681134nres_b] :
( ( ( ord_le527798542nres_b @ SV189 @ SV153 )
= $false )
| ( ( ord_le527798542nres_b @ ( if_Ref1732808808nres_b @ SV37 @ SV102 @ SV189 ) @ SV153 )
= $true )
| ( SV37 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1421]) ).
thf(1493,plain,
! [SV153: refine432681134nres_b,SV189: refine432681134nres_b,SV102: refine432681134nres_b,SV37: $o] :
( ( ( ~ SV37 ) = $true )
| ( ( ord_le527798542nres_b @ ( if_Ref1732808808nres_b @ SV37 @ SV102 @ SV189 ) @ SV153 )
= $true )
| ( ( ord_le527798542nres_b @ SV102 @ SV153 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1422]) ).
thf(1494,plain,
! [SV154: refine432681134nres_b,SV190: refine432681134nres_b,SV103: refine432681134nres_b] :
( ( ( ~ ~ $true )
= $false )
| ( ( ord_le527798542nres_b @ ( if_Ref1732808808nres_b @ $true @ SV103 @ SV190 ) @ SV154 )
= $true )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1424]) ).
thf(1495,plain,
! [SV103: refine432681134nres_b,SV154: refine432681134nres_b,SV190: refine432681134nres_b] :
( ( ( ord_le527798542nres_b @ SV190 @ SV154 )
= $false )
| ( ( ord_le527798542nres_b @ ( if_Ref1732808808nres_b @ $true @ SV103 @ SV190 ) @ SV154 )
= $true )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1424]) ).
thf(1496,plain,
! [SV154: refine432681134nres_b,SV190: refine432681134nres_b,SV103: refine432681134nres_b] :
( ( ( ~ $true ) = $true )
| ( ( ord_le527798542nres_b @ ( if_Ref1732808808nres_b @ $true @ SV103 @ SV190 ) @ SV154 )
= $true )
| ( ( ord_le527798542nres_b @ SV103 @ SV154 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1425]) ).
thf(1497,plain,
! [SV155: refine432681134nres_b,SV191: refine432681134nres_b,SV104: refine432681134nres_b] :
( ( ( ~ ~ $false )
= $false )
| ( ( ord_le527798542nres_b @ ( if_Ref1732808808nres_b @ $false @ SV104 @ SV191 ) @ SV155 )
= $true )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1427]) ).
thf(1498,plain,
! [SV104: refine432681134nres_b,SV155: refine432681134nres_b,SV191: refine432681134nres_b] :
( ( ( ord_le527798542nres_b @ SV191 @ SV155 )
= $false )
| ( ( ord_le527798542nres_b @ ( if_Ref1732808808nres_b @ $false @ SV104 @ SV191 ) @ SV155 )
= $true )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1427]) ).
thf(1499,plain,
! [SV155: refine432681134nres_b,SV191: refine432681134nres_b,SV104: refine432681134nres_b] :
( ( ( ~ $false ) = $true )
| ( ( ord_le527798542nres_b @ ( if_Ref1732808808nres_b @ $false @ SV104 @ SV191 ) @ SV155 )
= $true )
| ( ( ord_le527798542nres_b @ SV104 @ SV155 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1428]) ).
thf(1500,plain,
! [SV156: refine424419629nres_a,SV105: refine424419629nres_a,SV38: refine424419629nres_a > refine424419629nres_a > $o] :
( ( ( ~ ! [SY312: set_a] : ( SV38 @ refine464223677AILi_a @ ( refine1198353288_RES_a @ SY312 ) ) )
= $true )
| ( ( SV38 @ SV105 @ SV156 )
= $true )
| ( ( SV38 @ ( refine1198353288_RES_a @ ( sK15_SY310 @ SV156 @ SV105 @ SV38 ) ) @ ( refine1198353288_RES_a @ ( sK17_SY638 @ SV105 @ SV156 @ SV38 ) ) )
= $false )
| ( ( SV38 @ ( sK5_SY309 @ SV156 @ SV105 @ SV38 ) @ refine464223677AILi_a )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1430]) ).
thf(1501,plain,
! [SV158: refine432681134nres_b > refine432681134nres_b,SV40: refine432681134nres_b,SV193: refine432681134nres_b,SV107: refine432681134nres_b] :
( ( ( ! [SY641: refine432681134nres_b] :
( ~ ( ord_le527798542nres_b @ ( sK20_SY569 @ SV107 @ SV193 @ SV40 @ SV158 ) @ SY641 )
| ( ord_le527798542nres_b @ ( SV158 @ ( sK20_SY569 @ SV107 @ SV193 @ SV40 @ SV158 ) ) @ ( SV158 @ SY641 ) ) ) )
= $false )
| ( ( ord_le527798542nres_b @ ( SV158 @ SV40 ) @ SV193 )
= $true )
| ( ( ord_le527798542nres_b @ ( SV158 @ SV107 ) @ SV193 )
= $false )
| ( ( ord_le527798542nres_b @ SV40 @ SV107 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1431]) ).
thf(1502,plain,
! [SV108: refine424419629nres_a > refine432681134nres_b,SV41: refine432681134nres_b,SV194: refine424419629nres_a,SV159: refine424419629nres_a] :
( ( ( ! [SY642: refine424419629nres_a] :
( ~ ( ord_le519537037nres_a @ ( sK21_SY474 @ SV159 @ SV194 @ SV41 @ SV108 ) @ SY642 )
| ( ord_le527798542nres_b @ ( SV108 @ ( sK21_SY474 @ SV159 @ SV194 @ SV41 @ SV108 ) ) @ ( SV108 @ SY642 ) ) ) )
= $false )
| ( ( ord_le527798542nres_b @ SV41 @ ( SV108 @ SV194 ) )
= $true )
| ( ( ord_le519537037nres_a @ SV159 @ SV194 )
= $false )
| ( ( ord_le527798542nres_b @ SV41 @ ( SV108 @ SV159 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1432]) ).
thf(1503,plain,
! [SV196: refine432681134nres_b,SV111: refine432681134nres_b] :
( ( ( SV111 = SV196 )
= $true )
| ( ( SV111 = SV196 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1433]) ).
thf(1504,plain,
! [SV196: refine432681134nres_b,SV111: refine432681134nres_b] :
( ( ( ~ ( ~ ( ord_le527798542nres_b @ SV111 @ SV196 )
| ~ ( ord_le527798542nres_b @ SV196 @ SV111 ) ) )
= $true )
| ( ( SV111 = SV196 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1434]) ).
thf(1505,plain,
! [SV196: refine432681134nres_b,SV111: refine432681134nres_b] :
( ( ( ord_le527798542nres_b @ SV111 @ SV196 )
= $false )
| ( ( ~ ( ord_le527798542nres_b @ SV196 @ SV111 ) )
= $true )
| ( ( ~ ( ( SV111 != SV196 )
| ~ ~ ( ~ ( ord_le527798542nres_b @ SV111 @ SV196 )
| ~ ( ord_le527798542nres_b @ SV196 @ SV111 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1435]) ).
thf(1506,plain,
! [SV116: refine432681134nres_b > refine424419629nres_a,SV49: refine424419629nres_a,SV197: refine432681134nres_b,SV164: refine432681134nres_b] :
( ( ( ! [SY643: refine432681134nres_b] :
( ~ ( ord_le527798542nres_b @ ( sK22_SY485 @ SV164 @ SV197 @ SV49 @ SV116 ) @ SY643 )
| ( ord_le519537037nres_a @ ( SV116 @ ( sK22_SY485 @ SV164 @ SV197 @ SV49 @ SV116 ) ) @ ( SV116 @ SY643 ) ) ) )
= $false )
| ( ( ord_le519537037nres_a @ SV49 @ ( SV116 @ SV197 ) )
= $true )
| ( ( ord_le527798542nres_b @ SV164 @ SV197 )
= $false )
| ( ( ord_le519537037nres_a @ SV49 @ ( SV116 @ SV164 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1436]) ).
thf(1507,plain,
! [SV117: refine432681134nres_b > refine432681134nres_b,SV50: refine432681134nres_b,SV198: refine432681134nres_b,SV165: refine432681134nres_b] :
( ( ( ! [SY644: refine432681134nres_b] :
( ~ ( ord_le527798542nres_b @ ( sK23_SY489 @ SV165 @ SV198 @ SV50 @ SV117 ) @ SY644 )
| ( ord_le527798542nres_b @ ( SV117 @ ( sK23_SY489 @ SV165 @ SV198 @ SV50 @ SV117 ) ) @ ( SV117 @ SY644 ) ) ) )
= $false )
| ( ( ord_le527798542nres_b @ SV50 @ ( SV117 @ SV198 ) )
= $true )
| ( ( ord_le527798542nres_b @ SV165 @ SV198 )
= $false )
| ( ( SV50
= ( SV117 @ SV165 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1437]) ).
thf(1508,plain,
! [SV201: refine432681134nres_b,SV120: refine432681134nres_b] :
( ( ( SV120 = SV201 )
= $true )
| ( ( SV120 = SV201 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1438]) ).
thf(1509,plain,
! [SV201: refine432681134nres_b,SV120: refine432681134nres_b] :
( ( ( ~ ( ~ ( ord_le527798542nres_b @ SV120 @ SV201 )
| ~ ( ord_le527798542nres_b @ SV201 @ SV120 ) ) )
= $true )
| ( ( SV120 = SV201 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1439]) ).
thf(1510,plain,
! [SV201: refine432681134nres_b,SV120: refine432681134nres_b] :
( ( ( ord_le527798542nres_b @ SV120 @ SV201 )
= $false )
| ( ( ~ ( ord_le527798542nres_b @ SV201 @ SV120 ) )
= $true )
| ( ( ~ ( ( SV120 != SV201 )
| ~ ~ ( ~ ( ord_le527798542nres_b @ SV120 @ SV201 )
| ~ ( ord_le527798542nres_b @ SV201 @ SV120 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1440]) ).
thf(1511,plain,
! [SV123: refine424419629nres_a] :
( ( ( SV123
!= ( refine1198353288_RES_a @ ( sK24_SY500 @ SV123 ) ) )
= $false )
| ( ( refine412683989fail_a @ SV123 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1441]) ).
thf(1512,plain,
! [SV215: set_a,SV123: refine424419629nres_a] :
( ( ( ~ ( refine412683989fail_a @ SV123 ) )
= $false )
| ( ( SV123
= ( refine1198353288_RES_a @ SV215 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1442]) ).
thf(1513,plain,
! [SV215: set_a,SV123: refine424419629nres_a] :
( ( ( ~ ~ ! [SY500: set_a] :
( SV123
!= ( refine1198353288_RES_a @ SY500 ) ) )
= $false )
| ( ( SV123
= ( refine1198353288_RES_a @ SV215 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1442]) ).
thf(1514,plain,
! [SV170: refine424419629nres_a > refine432681134nres_b,SV59: refine424419629nres_a,SV202: refine432681134nres_b,SV124: refine424419629nres_a] :
( ( ( ! [SY645: refine424419629nres_a] :
( ~ ( ord_le519537037nres_a @ ( sK25_SY585 @ SV124 @ SV202 @ SV59 @ SV170 ) @ SY645 )
| ( ord_le527798542nres_b @ ( SV170 @ ( sK25_SY585 @ SV124 @ SV202 @ SV59 @ SV170 ) ) @ ( SV170 @ SY645 ) ) ) )
= $false )
| ( ( ord_le527798542nres_b @ ( SV170 @ SV59 ) @ SV202 )
= $true )
| ( ( ( SV170 @ SV124 )
= SV202 )
= $false )
| ( ( ord_le519537037nres_a @ SV59 @ SV124 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1443]) ).
thf(1515,plain,
! [SV125: refine432681134nres_b > refine432681134nres_b,SV60: refine432681134nres_b,SV203: refine432681134nres_b,SV171: refine432681134nres_b] :
( ( ( ! [SY646: refine432681134nres_b] :
( ~ ( ord_le527798542nres_b @ ( sK26_SY507 @ SV171 @ SV203 @ SV60 @ SV125 ) @ SY646 )
| ( ord_le527798542nres_b @ ( SV125 @ ( sK26_SY507 @ SV171 @ SV203 @ SV60 @ SV125 ) ) @ ( SV125 @ SY646 ) ) ) )
= $false )
| ( ( ord_le527798542nres_b @ SV60 @ ( SV125 @ SV203 ) )
= $true )
| ( ( ord_le527798542nres_b @ SV171 @ SV203 )
= $false )
| ( ( ord_le527798542nres_b @ SV60 @ ( SV125 @ SV171 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1444]) ).
thf(1516,plain,
! [SV172: refine424419629nres_a,SV126: refine424419629nres_a,SV61: refine424419629nres_a > refine424419629nres_a > $o] :
( ( ( ! [SY379: set_a,SY380: set_a] : ( SV61 @ ( refine1198353288_RES_a @ SY379 ) @ ( refine1198353288_RES_a @ SY380 ) ) )
= $false )
| ( ( SV61 @ SV126 @ SV172 )
= $true )
| ( ( SV61 @ refine464223677AILi_a @ ( refine1198353288_RES_a @ ( sK16_SY378 @ SV172 @ SV126 @ SV61 ) ) )
= $false )
| ( ( SV61 @ ( sK7_SY377 @ SV172 @ SV126 @ SV61 ) @ refine464223677AILi_a )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1445]) ).
thf(1517,plain,
! [SV127: a > $o,SV216: a,SV62: a > $o] :
( ( ( ~ ( SV62 @ SV216 ) )
= $true )
| ( ( SV127 @ SV216 )
= $true )
| ( ( ord_less_eq_set_a @ ( collect_a @ SV62 ) @ ( collect_a @ SV127 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1446]) ).
thf(1518,plain,
! [SV127: a > $o,SV62: a > $o] :
( ( ( ~ ( ord_less_eq_set_a @ ( collect_a @ SV62 ) @ ( collect_a @ SV127 ) ) )
= $false )
| ( ( SV62 @ ( sK11_SY514 @ SV127 @ SV62 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1447]) ).
thf(1519,plain,
! [SV127: a > $o,SV62: a > $o] :
( ( ( ~ ! [SY514: a] :
( ~ ( SV62 @ SY514 )
| ( SV127 @ SY514 ) ) )
= $false )
| ( ( SV62 @ ( sK11_SY514 @ SV127 @ SV62 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1447]) ).
thf(1520,plain,
! [SV127: a > $o,SV62: a > $o] :
( ( ( ord_less_eq_set_a @ ( collect_a @ SV62 ) @ ( collect_a @ SV127 ) )
= $true )
| ( ( SV127 @ ( sK11_SY514 @ SV127 @ SV62 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1448]) ).
thf(1521,plain,
! [SV127: a > $o,SV62: a > $o] :
( ( ( ! [SY514: a] :
( ~ ( SV62 @ SY514 )
| ( SV127 @ SY514 ) ) )
= $true )
| ( ( SV127 @ ( sK11_SY514 @ SV127 @ SV62 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1449]) ).
thf(1522,plain,
! [SV128: refine432681134nres_b > refine424419629nres_a,SV65: refine424419629nres_a,SV204: refine432681134nres_b,SV173: refine432681134nres_b] :
( ( ( ! [SY647: refine432681134nres_b] :
( ~ ( ord_le527798542nres_b @ ( sK27_SY517 @ SV173 @ SV204 @ SV65 @ SV128 ) @ SY647 )
| ( ord_le519537037nres_a @ ( SV128 @ ( sK27_SY517 @ SV173 @ SV204 @ SV65 @ SV128 ) ) @ ( SV128 @ SY647 ) ) ) )
= $false )
| ( ( ord_le519537037nres_a @ SV65 @ ( SV128 @ SV204 ) )
= $true )
| ( ( ord_le527798542nres_b @ SV173 @ SV204 )
= $false )
| ( ( SV65
= ( SV128 @ SV173 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1450]) ).
thf(1523,plain,
! [SV205: refine432681134nres_b,SV131: refine432681134nres_b] :
( ( ( SV131 = SV205 )
= $true )
| ( ( SV131 = SV205 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1451]) ).
thf(1524,plain,
! [SV131: refine432681134nres_b,SV205: refine432681134nres_b] :
( ( ( ~ ( ~ ( ord_le527798542nres_b @ SV205 @ SV131 )
| ~ ( ord_le527798542nres_b @ SV131 @ SV205 ) ) )
= $true )
| ( ( SV131 = SV205 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1452]) ).
thf(1525,plain,
! [SV131: refine432681134nres_b,SV205: refine432681134nres_b] :
( ( ( ord_le527798542nres_b @ SV205 @ SV131 )
= $false )
| ( ( ~ ( ord_le527798542nres_b @ SV131 @ SV205 ) )
= $true )
| ( ( ~ ( ( SV131 != SV205 )
| ~ ~ ( ~ ( ord_le527798542nres_b @ SV205 @ SV131 )
| ~ ( ord_le527798542nres_b @ SV131 @ SV205 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1453]) ).
thf(1526,plain,
! [SV177: refine424419629nres_a > refine432681134nres_b,SV69: refine424419629nres_a,SV206: refine432681134nres_b,SV132: refine424419629nres_a] :
( ( ( ! [SY648: refine424419629nres_a] :
( ~ ( ord_le519537037nres_a @ ( sK28_SY598 @ SV132 @ SV206 @ SV69 @ SV177 ) @ SY648 )
| ( ord_le527798542nres_b @ ( SV177 @ ( sK28_SY598 @ SV132 @ SV206 @ SV69 @ SV177 ) ) @ ( SV177 @ SY648 ) ) ) )
= $false )
| ( ( ord_le527798542nres_b @ ( SV177 @ SV69 ) @ SV206 )
= $true )
| ( ( ord_le527798542nres_b @ ( SV177 @ SV132 ) @ SV206 )
= $false )
| ( ( ord_le519537037nres_a @ SV69 @ SV132 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1454]) ).
thf(1527,plain,
! [SV133: refine432681134nres_b,SV178: refine432681134nres_b > $o,SV70: refine432681134nres_b > $o] :
( ( ( ~ ! [SY601: refine432681134nres_b] :
( ~ ( SV70 @ SY601 )
| ~ ! [SY404: refine432681134nres_b] :
( ~ ( SV70 @ SY404 )
| ( ord_le527798542nres_b @ SY404 @ SY601 ) )
| ( SV178 @ SY601 ) ) )
= $true )
| ( ( SV178 @ ( order_1722590613nres_b @ SV70 ) )
= $true )
| ( ( SV70 @ ( sK13_SY528 @ SV178 @ SV133 @ SV70 ) )
= $true )
| ( ( SV70 @ SV133 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1455]) ).
thf(1528,plain,
! [SV133: refine432681134nres_b,SV178: refine432681134nres_b > $o,SV70: refine432681134nres_b > $o] :
( ( ( ! [SY601: refine432681134nres_b] :
( ~ ( SV70 @ SY601 )
| ~ ! [SY404: refine432681134nres_b] :
( ~ ( SV70 @ SY404 )
| ( ord_le527798542nres_b @ SY404 @ SY601 ) )
| ( SV178 @ SY601 ) ) )
= $false )
| ( ( SV178 @ ( order_1722590613nres_b @ SV70 ) )
= $true )
| ( ( ord_le527798542nres_b @ ( sK13_SY528 @ SV178 @ SV133 @ SV70 ) @ SV133 )
= $false )
| ( ( SV70 @ SV133 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1456]) ).
thf(1529,plain,
! [SV135: refine424419629nres_a > refine432681134nres_b,SV72: refine432681134nres_b,SV207: refine424419629nres_a,SV179: refine424419629nres_a] :
( ( ( ! [SY649: refine424419629nres_a] :
( ~ ( ord_le519537037nres_a @ ( sK29_SY533 @ SV179 @ SV207 @ SV72 @ SV135 ) @ SY649 )
| ( ord_le527798542nres_b @ ( SV135 @ ( sK29_SY533 @ SV179 @ SV207 @ SV72 @ SV135 ) ) @ ( SV135 @ SY649 ) ) ) )
= $false )
| ( ( ord_le527798542nres_b @ SV72 @ ( SV135 @ SV207 ) )
= $true )
| ( ( ord_le519537037nres_a @ SV179 @ SV207 )
= $false )
| ( ( SV72
= ( SV135 @ SV179 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1457]) ).
thf(1530,plain,
! [SV180: refine432681134nres_b > refine424419629nres_a,SV74: refine432681134nres_b,SV208: refine424419629nres_a,SV137: refine432681134nres_b] :
( ( ( ! [SY650: refine432681134nres_b] :
( ~ ( ord_le527798542nres_b @ ( sK30_SY607 @ SV137 @ SV208 @ SV74 @ SV180 ) @ SY650 )
| ( ord_le519537037nres_a @ ( SV180 @ ( sK30_SY607 @ SV137 @ SV208 @ SV74 @ SV180 ) ) @ ( SV180 @ SY650 ) ) ) )
= $false )
| ( ( ord_le519537037nres_a @ ( SV180 @ SV74 ) @ SV208 )
= $true )
| ( ( ord_le519537037nres_a @ ( SV180 @ SV137 ) @ SV208 )
= $false )
| ( ( ord_le527798542nres_b @ SV74 @ SV137 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1458]) ).
thf(1531,plain,
! [SV209: $o > refine432681134nres_b,SV139: $o > refine432681134nres_b] :
( ( ( ord_le1656162903nres_b @ SV139 @ SV209 )
= $true )
| ( ( ord_le1656162903nres_b @ SV139 @ SV209 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1459]) ).
thf(1532,plain,
! [SV209: $o > refine432681134nres_b,SV139: $o > refine432681134nres_b] :
( ( ( ~ ( ~ ( ord_le527798542nres_b @ ( SV139 @ $false ) @ ( SV209 @ $false ) )
| ~ ( ord_le527798542nres_b @ ( SV139 @ $true ) @ ( SV209 @ $true ) ) ) )
= $true )
| ( ( ord_le1656162903nres_b @ SV139 @ SV209 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1460]) ).
thf(1533,plain,
! [SV209: $o > refine432681134nres_b,SV139: $o > refine432681134nres_b] :
( ( ( ord_le527798542nres_b @ ( SV139 @ $false ) @ ( SV209 @ $false ) )
= $false )
| ( ( ~ ( ord_le527798542nres_b @ ( SV139 @ $true ) @ ( SV209 @ $true ) ) )
= $true )
| ( ( ~ ( ~ ( ord_le1656162903nres_b @ SV139 @ SV209 )
| ~ ~ ( ~ ( ord_le527798542nres_b @ ( SV139 @ $false ) @ ( SV209 @ $false ) )
| ~ ( ord_le527798542nres_b @ ( SV139 @ $true ) @ ( SV209 @ $true ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1461]) ).
thf(1534,plain,
! [SV18: $o] :
( ( ( SV18
| $false )
= $false )
| ( ( ~ ( ~ SV18
| ~ $false ) )
= $true )
| ( SV18 = $false )
| ( SV18 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1462]) ).
thf(1535,plain,
! [SV18: $o] :
( ( ( SV18
| $false )
= $false )
| ( ( ~ ( ~ SV18
| ~ $false ) )
= $true )
| ( SV18 = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1463]) ).
thf(1536,plain,
! [SV18: $o] :
( ( ( SV18
| $false )
= $false )
| ( ( ~ ( ~ SV18
| ~ $false ) )
= $true )
| ( $true = $false )
| ( SV18 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1464]) ).
thf(1537,plain,
! [SV18: $o] :
( ( ( SV18
| $false )
= $false )
| ( ( ~ ( ~ SV18
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1465]) ).
thf(1538,plain,
( ( ( $true
| $false )
= $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1466]) ).
thf(1539,plain,
( ( ( $true
| $false )
= $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1467]) ).
thf(1540,plain,
( ( ( $true
| $false )
= $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1468]) ).
thf(1541,plain,
( ( ( $true
| $false )
= $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1469]) ).
thf(1542,plain,
( ( ( $false
| $false )
= $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1470]) ).
thf(1543,plain,
( ( ( $false
| $false )
= $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1471]) ).
thf(1544,plain,
( ( ( $false
| $false )
= $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1472]) ).
thf(1545,plain,
( ( ( $false
| $false )
= $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1473]) ).
thf(1546,plain,
! [SV210: refine432681134nres_b,SV140: refine432681134nres_b,SV182: refine432681134nres_b,SV85: refine432681134nres_b,SV21: $o] :
( ( ( ~ ~ SV21 )
= $false )
| ( ( ord_le527798542nres_b @ ( if_Ref1732808808nres_b @ SV21 @ SV85 @ SV182 ) @ ( if_Ref1732808808nres_b @ SV21 @ SV140 @ SV210 ) )
= $true )
| ( SV21 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1478]) ).
thf(1547,plain,
! [SV140: refine432681134nres_b,SV85: refine432681134nres_b,SV21: $o,SV210: refine432681134nres_b,SV182: refine432681134nres_b] :
( ( ( ord_le527798542nres_b @ SV182 @ SV210 )
= $false )
| ( ( ord_le527798542nres_b @ ( if_Ref1732808808nres_b @ SV21 @ SV85 @ SV182 ) @ ( if_Ref1732808808nres_b @ SV21 @ SV140 @ SV210 ) )
= $true )
| ( SV21 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1478]) ).
thf(1548,plain,
! [SV210: refine432681134nres_b,SV140: refine432681134nres_b,SV182: refine432681134nres_b,SV85: refine432681134nres_b,SV21: $o] :
( ( ( ~ SV21 ) = $true )
| ( ( ord_le527798542nres_b @ ( if_Ref1732808808nres_b @ SV21 @ SV85 @ SV182 ) @ ( if_Ref1732808808nres_b @ SV21 @ SV140 @ SV210 ) )
= $true )
| ( ( ord_le527798542nres_b @ SV85 @ SV140 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1479]) ).
thf(1549,plain,
! [SV211: refine432681134nres_b,SV141: refine432681134nres_b,SV183: refine432681134nres_b,SV86: refine432681134nres_b] :
( ( ( ~ ~ $true )
= $false )
| ( ( ord_le527798542nres_b @ ( if_Ref1732808808nres_b @ $true @ SV86 @ SV183 ) @ ( if_Ref1732808808nres_b @ $true @ SV141 @ SV211 ) )
= $true )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1481]) ).
thf(1550,plain,
! [SV141: refine432681134nres_b,SV86: refine432681134nres_b,SV211: refine432681134nres_b,SV183: refine432681134nres_b] :
( ( ( ord_le527798542nres_b @ SV183 @ SV211 )
= $false )
| ( ( ord_le527798542nres_b @ ( if_Ref1732808808nres_b @ $true @ SV86 @ SV183 ) @ ( if_Ref1732808808nres_b @ $true @ SV141 @ SV211 ) )
= $true )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1481]) ).
thf(1551,plain,
! [SV211: refine432681134nres_b,SV141: refine432681134nres_b,SV183: refine432681134nres_b,SV86: refine432681134nres_b] :
( ( ( ~ $true ) = $true )
| ( ( ord_le527798542nres_b @ ( if_Ref1732808808nres_b @ $true @ SV86 @ SV183 ) @ ( if_Ref1732808808nres_b @ $true @ SV141 @ SV211 ) )
= $true )
| ( ( ord_le527798542nres_b @ SV86 @ SV141 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1482]) ).
thf(1552,plain,
! [SV212: refine432681134nres_b,SV142: refine432681134nres_b,SV184: refine432681134nres_b,SV87: refine432681134nres_b] :
( ( ( ~ ~ $false )
= $false )
| ( ( ord_le527798542nres_b @ ( if_Ref1732808808nres_b @ $false @ SV87 @ SV184 ) @ ( if_Ref1732808808nres_b @ $false @ SV142 @ SV212 ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1484]) ).
thf(1553,plain,
! [SV142: refine432681134nres_b,SV87: refine432681134nres_b,SV212: refine432681134nres_b,SV184: refine432681134nres_b] :
( ( ( ord_le527798542nres_b @ SV184 @ SV212 )
= $false )
| ( ( ord_le527798542nres_b @ ( if_Ref1732808808nres_b @ $false @ SV87 @ SV184 ) @ ( if_Ref1732808808nres_b @ $false @ SV142 @ SV212 ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1484]) ).
thf(1554,plain,
! [SV212: refine432681134nres_b,SV142: refine432681134nres_b,SV184: refine432681134nres_b,SV87: refine432681134nres_b] :
( ( ( ~ $false ) = $true )
| ( ( ord_le527798542nres_b @ ( if_Ref1732808808nres_b @ $false @ SV87 @ SV184 ) @ ( if_Ref1732808808nres_b @ $false @ SV142 @ SV212 ) )
= $true )
| ( ( ord_le527798542nres_b @ SV87 @ SV142 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1485]) ).
thf(1555,plain,
! [SV96: refine424419629nres_a,SV148: refine424419629nres_a,SV31: refine424419629nres_a > refine424419629nres_a > $o] :
( ( ( ! [SY651: set_a] : ( SV31 @ ( refine1198353288_RES_a @ ( sK31_SY285 @ SV148 @ SV96 @ SV31 ) ) @ ( refine1198353288_RES_a @ SY651 ) ) )
= $false )
| ( ( SV31 @ SV96 @ SV148 )
= $true )
| ( ( SV31 @ ( refine1198353288_RES_a @ ( sK14_SY284 @ SV148 @ SV96 @ SV31 ) ) @ refine464223677AILi_a )
= $false )
| ( ( SV31 @ refine464223677AILi_a @ ( sK4_SY283 @ SV148 @ SV96 @ SV31 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1487]) ).
thf(1556,plain,
! [SV150: refine432681134nres_b > refine424419629nres_a,SV34: refine432681134nres_b,SV187: refine424419629nres_a,SV99: refine432681134nres_b] :
( ( ( ~ ( ord_le527798542nres_b @ ( sK18_SY554 @ SV99 @ SV187 @ SV34 @ SV150 ) @ ( sK32_SY639 @ SV150 @ SV34 @ SV187 @ SV99 ) )
| ( ord_le519537037nres_a @ ( SV150 @ ( sK18_SY554 @ SV99 @ SV187 @ SV34 @ SV150 ) ) @ ( SV150 @ ( sK32_SY639 @ SV150 @ SV34 @ SV187 @ SV99 ) ) ) )
= $false )
| ( ( ord_le519537037nres_a @ ( SV150 @ SV34 ) @ SV187 )
= $true )
| ( ( ( SV150 @ SV99 )
= SV187 )
= $false )
| ( ( ord_le527798542nres_b @ SV34 @ SV99 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1489]) ).
thf(1557,plain,
! [SV151: refine432681134nres_b > refine432681134nres_b,SV35: refine432681134nres_b,SV188: refine432681134nres_b,SV100: refine432681134nres_b] :
( ( ( ~ ( ord_le527798542nres_b @ ( sK19_SY557 @ SV100 @ SV188 @ SV35 @ SV151 ) @ ( sK33_SY640 @ SV151 @ SV35 @ SV188 @ SV100 ) )
| ( ord_le527798542nres_b @ ( SV151 @ ( sK19_SY557 @ SV100 @ SV188 @ SV35 @ SV151 ) ) @ ( SV151 @ ( sK33_SY640 @ SV151 @ SV35 @ SV188 @ SV100 ) ) ) )
= $false )
| ( ( ord_le527798542nres_b @ ( SV151 @ SV35 ) @ SV188 )
= $true )
| ( ( ( SV151 @ SV100 )
= SV188 )
= $false )
| ( ( ord_le527798542nres_b @ SV35 @ SV100 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1490]) ).
thf(1558,plain,
! [SV153: refine432681134nres_b,SV189: refine432681134nres_b,SV102: refine432681134nres_b,SV37: $o] :
( ( ( ~ SV37 ) = $true )
| ( ( ord_le527798542nres_b @ ( if_Ref1732808808nres_b @ SV37 @ SV102 @ SV189 ) @ SV153 )
= $true )
| ( SV37 = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1491]) ).
thf(1559,plain,
! [SV153: refine432681134nres_b,SV189: refine432681134nres_b,SV102: refine432681134nres_b,SV37: $o] :
( ( SV37 = $false )
| ( ( ord_le527798542nres_b @ ( if_Ref1732808808nres_b @ SV37 @ SV102 @ SV189 ) @ SV153 )
= $true )
| ( ( ord_le527798542nres_b @ SV102 @ SV153 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1493]) ).
thf(1560,plain,
! [SV154: refine432681134nres_b,SV190: refine432681134nres_b,SV103: refine432681134nres_b] :
( ( ( ~ $true ) = $true )
| ( ( ord_le527798542nres_b @ ( if_Ref1732808808nres_b @ $true @ SV103 @ SV190 ) @ SV154 )
= $true )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1494]) ).
thf(1561,plain,
! [SV154: refine432681134nres_b,SV190: refine432681134nres_b,SV103: refine432681134nres_b] :
( ( $true = $false )
| ( ( ord_le527798542nres_b @ ( if_Ref1732808808nres_b @ $true @ SV103 @ SV190 ) @ SV154 )
= $true )
| ( ( ord_le527798542nres_b @ SV103 @ SV154 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1496]) ).
thf(1562,plain,
! [SV155: refine432681134nres_b,SV191: refine432681134nres_b,SV104: refine432681134nres_b] :
( ( ( ~ $false ) = $true )
| ( ( ord_le527798542nres_b @ ( if_Ref1732808808nres_b @ $false @ SV104 @ SV191 ) @ SV155 )
= $true )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1497]) ).
thf(1563,plain,
! [SV155: refine432681134nres_b,SV191: refine432681134nres_b,SV104: refine432681134nres_b] :
( ( $false = $false )
| ( ( ord_le527798542nres_b @ ( if_Ref1732808808nres_b @ $false @ SV104 @ SV191 ) @ SV155 )
= $true )
| ( ( ord_le527798542nres_b @ SV104 @ SV155 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1499]) ).
thf(1564,plain,
! [SV156: refine424419629nres_a,SV105: refine424419629nres_a,SV38: refine424419629nres_a > refine424419629nres_a > $o] :
( ( ( ! [SY312: set_a] : ( SV38 @ refine464223677AILi_a @ ( refine1198353288_RES_a @ SY312 ) ) )
= $false )
| ( ( SV38 @ SV105 @ SV156 )
= $true )
| ( ( SV38 @ ( refine1198353288_RES_a @ ( sK15_SY310 @ SV156 @ SV105 @ SV38 ) ) @ ( refine1198353288_RES_a @ ( sK17_SY638 @ SV105 @ SV156 @ SV38 ) ) )
= $false )
| ( ( SV38 @ ( sK5_SY309 @ SV156 @ SV105 @ SV38 ) @ refine464223677AILi_a )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1500]) ).
thf(1565,plain,
! [SV158: refine432681134nres_b > refine432681134nres_b,SV40: refine432681134nres_b,SV193: refine432681134nres_b,SV107: refine432681134nres_b] :
( ( ( ~ ( ord_le527798542nres_b @ ( sK20_SY569 @ SV107 @ SV193 @ SV40 @ SV158 ) @ ( sK34_SY641 @ SV158 @ SV40 @ SV193 @ SV107 ) )
| ( ord_le527798542nres_b @ ( SV158 @ ( sK20_SY569 @ SV107 @ SV193 @ SV40 @ SV158 ) ) @ ( SV158 @ ( sK34_SY641 @ SV158 @ SV40 @ SV193 @ SV107 ) ) ) )
= $false )
| ( ( ord_le527798542nres_b @ ( SV158 @ SV40 ) @ SV193 )
= $true )
| ( ( ord_le527798542nres_b @ ( SV158 @ SV107 ) @ SV193 )
= $false )
| ( ( ord_le527798542nres_b @ SV40 @ SV107 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1501]) ).
thf(1566,plain,
! [SV108: refine424419629nres_a > refine432681134nres_b,SV41: refine432681134nres_b,SV194: refine424419629nres_a,SV159: refine424419629nres_a] :
( ( ( ~ ( ord_le519537037nres_a @ ( sK21_SY474 @ SV159 @ SV194 @ SV41 @ SV108 ) @ ( sK35_SY642 @ SV108 @ SV41 @ SV194 @ SV159 ) )
| ( ord_le527798542nres_b @ ( SV108 @ ( sK21_SY474 @ SV159 @ SV194 @ SV41 @ SV108 ) ) @ ( SV108 @ ( sK35_SY642 @ SV108 @ SV41 @ SV194 @ SV159 ) ) ) )
= $false )
| ( ( ord_le527798542nres_b @ SV41 @ ( SV108 @ SV194 ) )
= $true )
| ( ( ord_le519537037nres_a @ SV159 @ SV194 )
= $false )
| ( ( ord_le527798542nres_b @ SV41 @ ( SV108 @ SV159 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1502]) ).
thf(1567,plain,
! [SV196: refine432681134nres_b,SV111: refine432681134nres_b] :
( ( ( ~ ( ord_le527798542nres_b @ SV111 @ SV196 )
| ~ ( ord_le527798542nres_b @ SV196 @ SV111 ) )
= $false )
| ( ( SV111 = SV196 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1504]) ).
thf(1568,plain,
! [SV111: refine432681134nres_b,SV196: refine432681134nres_b] :
( ( ( ord_le527798542nres_b @ SV196 @ SV111 )
= $false )
| ( ( ord_le527798542nres_b @ SV111 @ SV196 )
= $false )
| ( ( ~ ( ( SV111 != SV196 )
| ~ ~ ( ~ ( ord_le527798542nres_b @ SV111 @ SV196 )
| ~ ( ord_le527798542nres_b @ SV196 @ SV111 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1505]) ).
thf(1569,plain,
! [SV116: refine432681134nres_b > refine424419629nres_a,SV49: refine424419629nres_a,SV197: refine432681134nres_b,SV164: refine432681134nres_b] :
( ( ( ~ ( ord_le527798542nres_b @ ( sK22_SY485 @ SV164 @ SV197 @ SV49 @ SV116 ) @ ( sK36_SY643 @ SV116 @ SV49 @ SV197 @ SV164 ) )
| ( ord_le519537037nres_a @ ( SV116 @ ( sK22_SY485 @ SV164 @ SV197 @ SV49 @ SV116 ) ) @ ( SV116 @ ( sK36_SY643 @ SV116 @ SV49 @ SV197 @ SV164 ) ) ) )
= $false )
| ( ( ord_le519537037nres_a @ SV49 @ ( SV116 @ SV197 ) )
= $true )
| ( ( ord_le527798542nres_b @ SV164 @ SV197 )
= $false )
| ( ( ord_le519537037nres_a @ SV49 @ ( SV116 @ SV164 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1506]) ).
thf(1570,plain,
! [SV117: refine432681134nres_b > refine432681134nres_b,SV50: refine432681134nres_b,SV198: refine432681134nres_b,SV165: refine432681134nres_b] :
( ( ( ~ ( ord_le527798542nres_b @ ( sK23_SY489 @ SV165 @ SV198 @ SV50 @ SV117 ) @ ( sK37_SY644 @ SV117 @ SV50 @ SV198 @ SV165 ) )
| ( ord_le527798542nres_b @ ( SV117 @ ( sK23_SY489 @ SV165 @ SV198 @ SV50 @ SV117 ) ) @ ( SV117 @ ( sK37_SY644 @ SV117 @ SV50 @ SV198 @ SV165 ) ) ) )
= $false )
| ( ( ord_le527798542nres_b @ SV50 @ ( SV117 @ SV198 ) )
= $true )
| ( ( ord_le527798542nres_b @ SV165 @ SV198 )
= $false )
| ( ( SV50
= ( SV117 @ SV165 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1507]) ).
thf(1571,plain,
! [SV201: refine432681134nres_b,SV120: refine432681134nres_b] :
( ( ( ~ ( ord_le527798542nres_b @ SV120 @ SV201 )
| ~ ( ord_le527798542nres_b @ SV201 @ SV120 ) )
= $false )
| ( ( SV120 = SV201 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1509]) ).
thf(1572,plain,
! [SV120: refine432681134nres_b,SV201: refine432681134nres_b] :
( ( ( ord_le527798542nres_b @ SV201 @ SV120 )
= $false )
| ( ( ord_le527798542nres_b @ SV120 @ SV201 )
= $false )
| ( ( ~ ( ( SV120 != SV201 )
| ~ ~ ( ~ ( ord_le527798542nres_b @ SV120 @ SV201 )
| ~ ( ord_le527798542nres_b @ SV201 @ SV120 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1510]) ).
thf(1573,plain,
! [SV123: refine424419629nres_a] :
( ( ( SV123
= ( refine1198353288_RES_a @ ( sK24_SY500 @ SV123 ) ) )
= $true )
| ( ( refine412683989fail_a @ SV123 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1511]) ).
thf(1574,plain,
! [SV215: set_a,SV123: refine424419629nres_a] :
( ( ( refine412683989fail_a @ SV123 )
= $true )
| ( ( SV123
= ( refine1198353288_RES_a @ SV215 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1512]) ).
thf(1575,plain,
! [SV215: set_a,SV123: refine424419629nres_a] :
( ( ( ~ ! [SY500: set_a] :
( SV123
!= ( refine1198353288_RES_a @ SY500 ) ) )
= $true )
| ( ( SV123
= ( refine1198353288_RES_a @ SV215 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1513]) ).
thf(1576,plain,
! [SV170: refine424419629nres_a > refine432681134nres_b,SV59: refine424419629nres_a,SV202: refine432681134nres_b,SV124: refine424419629nres_a] :
( ( ( ~ ( ord_le519537037nres_a @ ( sK25_SY585 @ SV124 @ SV202 @ SV59 @ SV170 ) @ ( sK38_SY645 @ SV170 @ SV59 @ SV202 @ SV124 ) )
| ( ord_le527798542nres_b @ ( SV170 @ ( sK25_SY585 @ SV124 @ SV202 @ SV59 @ SV170 ) ) @ ( SV170 @ ( sK38_SY645 @ SV170 @ SV59 @ SV202 @ SV124 ) ) ) )
= $false )
| ( ( ord_le527798542nres_b @ ( SV170 @ SV59 ) @ SV202 )
= $true )
| ( ( ( SV170 @ SV124 )
= SV202 )
= $false )
| ( ( ord_le519537037nres_a @ SV59 @ SV124 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1514]) ).
thf(1577,plain,
! [SV125: refine432681134nres_b > refine432681134nres_b,SV60: refine432681134nres_b,SV203: refine432681134nres_b,SV171: refine432681134nres_b] :
( ( ( ~ ( ord_le527798542nres_b @ ( sK26_SY507 @ SV171 @ SV203 @ SV60 @ SV125 ) @ ( sK39_SY646 @ SV125 @ SV60 @ SV203 @ SV171 ) )
| ( ord_le527798542nres_b @ ( SV125 @ ( sK26_SY507 @ SV171 @ SV203 @ SV60 @ SV125 ) ) @ ( SV125 @ ( sK39_SY646 @ SV125 @ SV60 @ SV203 @ SV171 ) ) ) )
= $false )
| ( ( ord_le527798542nres_b @ SV60 @ ( SV125 @ SV203 ) )
= $true )
| ( ( ord_le527798542nres_b @ SV171 @ SV203 )
= $false )
| ( ( ord_le527798542nres_b @ SV60 @ ( SV125 @ SV171 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1515]) ).
thf(1578,plain,
! [SV126: refine424419629nres_a,SV172: refine424419629nres_a,SV61: refine424419629nres_a > refine424419629nres_a > $o] :
( ( ( ! [SY652: set_a] : ( SV61 @ ( refine1198353288_RES_a @ ( sK40_SY379 @ SV172 @ SV126 @ SV61 ) ) @ ( refine1198353288_RES_a @ SY652 ) ) )
= $false )
| ( ( SV61 @ SV126 @ SV172 )
= $true )
| ( ( SV61 @ refine464223677AILi_a @ ( refine1198353288_RES_a @ ( sK16_SY378 @ SV172 @ SV126 @ SV61 ) ) )
= $false )
| ( ( SV61 @ ( sK7_SY377 @ SV172 @ SV126 @ SV61 ) @ refine464223677AILi_a )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1516]) ).
thf(1579,plain,
! [SV127: a > $o,SV216: a,SV62: a > $o] :
( ( ( SV62 @ SV216 )
= $false )
| ( ( SV127 @ SV216 )
= $true )
| ( ( ord_less_eq_set_a @ ( collect_a @ SV62 ) @ ( collect_a @ SV127 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1517]) ).
thf(1580,plain,
! [SV127: a > $o,SV62: a > $o] :
( ( ( ord_less_eq_set_a @ ( collect_a @ SV62 ) @ ( collect_a @ SV127 ) )
= $true )
| ( ( SV62 @ ( sK11_SY514 @ SV127 @ SV62 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1518]) ).
thf(1581,plain,
! [SV127: a > $o,SV62: a > $o] :
( ( ( ! [SY514: a] :
( ~ ( SV62 @ SY514 )
| ( SV127 @ SY514 ) ) )
= $true )
| ( ( SV62 @ ( sK11_SY514 @ SV127 @ SV62 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1519]) ).
thf(1582,plain,
! [SV127: a > $o,SV217: a,SV62: a > $o] :
( ( ( ~ ( SV62 @ SV217 )
| ( SV127 @ SV217 ) )
= $true )
| ( ( SV127 @ ( sK11_SY514 @ SV127 @ SV62 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1521]) ).
thf(1583,plain,
! [SV128: refine432681134nres_b > refine424419629nres_a,SV65: refine424419629nres_a,SV204: refine432681134nres_b,SV173: refine432681134nres_b] :
( ( ( ~ ( ord_le527798542nres_b @ ( sK27_SY517 @ SV173 @ SV204 @ SV65 @ SV128 ) @ ( sK41_SY647 @ SV128 @ SV65 @ SV204 @ SV173 ) )
| ( ord_le519537037nres_a @ ( SV128 @ ( sK27_SY517 @ SV173 @ SV204 @ SV65 @ SV128 ) ) @ ( SV128 @ ( sK41_SY647 @ SV128 @ SV65 @ SV204 @ SV173 ) ) ) )
= $false )
| ( ( ord_le519537037nres_a @ SV65 @ ( SV128 @ SV204 ) )
= $true )
| ( ( ord_le527798542nres_b @ SV173 @ SV204 )
= $false )
| ( ( SV65
= ( SV128 @ SV173 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1522]) ).
thf(1584,plain,
! [SV131: refine432681134nres_b,SV205: refine432681134nres_b] :
( ( ( ~ ( ord_le527798542nres_b @ SV205 @ SV131 )
| ~ ( ord_le527798542nres_b @ SV131 @ SV205 ) )
= $false )
| ( ( SV131 = SV205 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1524]) ).
thf(1585,plain,
! [SV205: refine432681134nres_b,SV131: refine432681134nres_b] :
( ( ( ord_le527798542nres_b @ SV131 @ SV205 )
= $false )
| ( ( ord_le527798542nres_b @ SV205 @ SV131 )
= $false )
| ( ( ~ ( ( SV131 != SV205 )
| ~ ~ ( ~ ( ord_le527798542nres_b @ SV205 @ SV131 )
| ~ ( ord_le527798542nres_b @ SV131 @ SV205 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1525]) ).
thf(1586,plain,
! [SV177: refine424419629nres_a > refine432681134nres_b,SV69: refine424419629nres_a,SV206: refine432681134nres_b,SV132: refine424419629nres_a] :
( ( ( ~ ( ord_le519537037nres_a @ ( sK28_SY598 @ SV132 @ SV206 @ SV69 @ SV177 ) @ ( sK42_SY648 @ SV177 @ SV69 @ SV206 @ SV132 ) )
| ( ord_le527798542nres_b @ ( SV177 @ ( sK28_SY598 @ SV132 @ SV206 @ SV69 @ SV177 ) ) @ ( SV177 @ ( sK42_SY648 @ SV177 @ SV69 @ SV206 @ SV132 ) ) ) )
= $false )
| ( ( ord_le527798542nres_b @ ( SV177 @ SV69 ) @ SV206 )
= $true )
| ( ( ord_le527798542nres_b @ ( SV177 @ SV132 ) @ SV206 )
= $false )
| ( ( ord_le519537037nres_a @ SV69 @ SV132 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1526]) ).
thf(1587,plain,
! [SV133: refine432681134nres_b,SV178: refine432681134nres_b > $o,SV70: refine432681134nres_b > $o] :
( ( ( ! [SY601: refine432681134nres_b] :
( ~ ( SV70 @ SY601 )
| ~ ! [SY404: refine432681134nres_b] :
( ~ ( SV70 @ SY404 )
| ( ord_le527798542nres_b @ SY404 @ SY601 ) )
| ( SV178 @ SY601 ) ) )
= $false )
| ( ( SV178 @ ( order_1722590613nres_b @ SV70 ) )
= $true )
| ( ( SV70 @ ( sK13_SY528 @ SV178 @ SV133 @ SV70 ) )
= $true )
| ( ( SV70 @ SV133 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1527]) ).
thf(1588,plain,
! [SV178: refine432681134nres_b > $o,SV133: refine432681134nres_b,SV70: refine432681134nres_b > $o] :
( ( ( ~ ( SV70 @ ( sK43_SY601 @ SV133 @ SV178 @ SV70 ) )
| ~ ! [SY653: refine432681134nres_b] :
( ~ ( SV70 @ SY653 )
| ( ord_le527798542nres_b @ SY653 @ ( sK43_SY601 @ SV133 @ SV178 @ SV70 ) ) )
| ( SV178 @ ( sK43_SY601 @ SV133 @ SV178 @ SV70 ) ) )
= $false )
| ( ( SV178 @ ( order_1722590613nres_b @ SV70 ) )
= $true )
| ( ( ord_le527798542nres_b @ ( sK13_SY528 @ SV178 @ SV133 @ SV70 ) @ SV133 )
= $false )
| ( ( SV70 @ SV133 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1528]) ).
thf(1589,plain,
! [SV135: refine424419629nres_a > refine432681134nres_b,SV72: refine432681134nres_b,SV207: refine424419629nres_a,SV179: refine424419629nres_a] :
( ( ( ~ ( ord_le519537037nres_a @ ( sK29_SY533 @ SV179 @ SV207 @ SV72 @ SV135 ) @ ( sK44_SY649 @ SV135 @ SV72 @ SV207 @ SV179 ) )
| ( ord_le527798542nres_b @ ( SV135 @ ( sK29_SY533 @ SV179 @ SV207 @ SV72 @ SV135 ) ) @ ( SV135 @ ( sK44_SY649 @ SV135 @ SV72 @ SV207 @ SV179 ) ) ) )
= $false )
| ( ( ord_le527798542nres_b @ SV72 @ ( SV135 @ SV207 ) )
= $true )
| ( ( ord_le519537037nres_a @ SV179 @ SV207 )
= $false )
| ( ( SV72
= ( SV135 @ SV179 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1529]) ).
thf(1590,plain,
! [SV180: refine432681134nres_b > refine424419629nres_a,SV74: refine432681134nres_b,SV208: refine424419629nres_a,SV137: refine432681134nres_b] :
( ( ( ~ ( ord_le527798542nres_b @ ( sK30_SY607 @ SV137 @ SV208 @ SV74 @ SV180 ) @ ( sK45_SY650 @ SV180 @ SV74 @ SV208 @ SV137 ) )
| ( ord_le519537037nres_a @ ( SV180 @ ( sK30_SY607 @ SV137 @ SV208 @ SV74 @ SV180 ) ) @ ( SV180 @ ( sK45_SY650 @ SV180 @ SV74 @ SV208 @ SV137 ) ) ) )
= $false )
| ( ( ord_le519537037nres_a @ ( SV180 @ SV74 ) @ SV208 )
= $true )
| ( ( ord_le519537037nres_a @ ( SV180 @ SV137 ) @ SV208 )
= $false )
| ( ( ord_le527798542nres_b @ SV74 @ SV137 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1530]) ).
thf(1591,plain,
! [SV209: $o > refine432681134nres_b,SV139: $o > refine432681134nres_b] :
( ( ( ~ ( ord_le527798542nres_b @ ( SV139 @ $false ) @ ( SV209 @ $false ) )
| ~ ( ord_le527798542nres_b @ ( SV139 @ $true ) @ ( SV209 @ $true ) ) )
= $false )
| ( ( ord_le1656162903nres_b @ SV139 @ SV209 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1532]) ).
thf(1592,plain,
! [SV209: $o > refine432681134nres_b,SV139: $o > refine432681134nres_b] :
( ( ( ord_le527798542nres_b @ ( SV139 @ $true ) @ ( SV209 @ $true ) )
= $false )
| ( ( ord_le527798542nres_b @ ( SV139 @ $false ) @ ( SV209 @ $false ) )
= $false )
| ( ( ~ ( ~ ( ord_le1656162903nres_b @ SV139 @ SV209 )
| ~ ~ ( ~ ( ord_le527798542nres_b @ ( SV139 @ $false ) @ ( SV209 @ $false ) )
| ~ ( ord_le527798542nres_b @ ( SV139 @ $true ) @ ( SV209 @ $true ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1533]) ).
thf(1593,plain,
! [SV18: $o] :
( ( SV18 = $false )
| ( ( ~ ( ~ SV18
| ~ $false ) )
= $true )
| ( SV18 = $false )
| ( SV18 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1534]) ).
thf(1594,plain,
! [SV18: $o] :
( ( $false = $false )
| ( ( ~ ( ~ SV18
| ~ $false ) )
= $true )
| ( SV18 = $false )
| ( SV18 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1534]) ).
thf(1595,plain,
! [SV18: $o] :
( ( SV18 = $false )
| ( ( ~ ( ~ SV18
| ~ $false ) )
= $true )
| ( SV18 = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1535]) ).
thf(1596,plain,
! [SV18: $o] :
( ( $false = $false )
| ( ( ~ ( ~ SV18
| ~ $false ) )
= $true )
| ( SV18 = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1535]) ).
thf(1597,plain,
! [SV18: $o] :
( ( SV18 = $false )
| ( ( ~ ( ~ SV18
| ~ $false ) )
= $true )
| ( $true = $false )
| ( SV18 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1536]) ).
thf(1598,plain,
! [SV18: $o] :
( ( $false = $false )
| ( ( ~ ( ~ SV18
| ~ $false ) )
= $true )
| ( $true = $false )
| ( SV18 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1536]) ).
thf(1599,plain,
! [SV18: $o] :
( ( SV18 = $false )
| ( ( ~ ( ~ SV18
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1537]) ).
thf(1600,plain,
! [SV18: $o] :
( ( $false = $false )
| ( ( ~ ( ~ SV18
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1537]) ).
thf(1601,plain,
( ( $true = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1538]) ).
thf(1602,plain,
( ( $false = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1538]) ).
thf(1603,plain,
( ( $true = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1539]) ).
thf(1604,plain,
( ( $false = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1539]) ).
thf(1605,plain,
( ( $true = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1540]) ).
thf(1606,plain,
( ( $false = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1540]) ).
thf(1607,plain,
( ( $true = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1541]) ).
thf(1608,plain,
( ( $false = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1541]) ).
thf(1609,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1542]) ).
thf(1610,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1542]) ).
thf(1611,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1543]) ).
thf(1612,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1543]) ).
thf(1613,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1544]) ).
thf(1614,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1544]) ).
thf(1615,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1545]) ).
thf(1616,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1545]) ).
thf(1617,plain,
! [SV210: refine432681134nres_b,SV140: refine432681134nres_b,SV182: refine432681134nres_b,SV85: refine432681134nres_b,SV21: $o] :
( ( ( ~ SV21 ) = $true )
| ( ( ord_le527798542nres_b @ ( if_Ref1732808808nres_b @ SV21 @ SV85 @ SV182 ) @ ( if_Ref1732808808nres_b @ SV21 @ SV140 @ SV210 ) )
= $true )
| ( SV21 = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1546]) ).
thf(1618,plain,
! [SV210: refine432681134nres_b,SV140: refine432681134nres_b,SV182: refine432681134nres_b,SV85: refine432681134nres_b,SV21: $o] :
( ( SV21 = $false )
| ( ( ord_le527798542nres_b @ ( if_Ref1732808808nres_b @ SV21 @ SV85 @ SV182 ) @ ( if_Ref1732808808nres_b @ SV21 @ SV140 @ SV210 ) )
= $true )
| ( ( ord_le527798542nres_b @ SV85 @ SV140 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1548]) ).
thf(1619,plain,
! [SV211: refine432681134nres_b,SV141: refine432681134nres_b,SV183: refine432681134nres_b,SV86: refine432681134nres_b] :
( ( ( ~ $true ) = $true )
| ( ( ord_le527798542nres_b @ ( if_Ref1732808808nres_b @ $true @ SV86 @ SV183 ) @ ( if_Ref1732808808nres_b @ $true @ SV141 @ SV211 ) )
= $true )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1549]) ).
thf(1620,plain,
! [SV211: refine432681134nres_b,SV141: refine432681134nres_b,SV183: refine432681134nres_b,SV86: refine432681134nres_b] :
( ( $true = $false )
| ( ( ord_le527798542nres_b @ ( if_Ref1732808808nres_b @ $true @ SV86 @ SV183 ) @ ( if_Ref1732808808nres_b @ $true @ SV141 @ SV211 ) )
= $true )
| ( ( ord_le527798542nres_b @ SV86 @ SV141 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1551]) ).
thf(1621,plain,
! [SV212: refine432681134nres_b,SV142: refine432681134nres_b,SV184: refine432681134nres_b,SV87: refine432681134nres_b] :
( ( ( ~ $false ) = $true )
| ( ( ord_le527798542nres_b @ ( if_Ref1732808808nres_b @ $false @ SV87 @ SV184 ) @ ( if_Ref1732808808nres_b @ $false @ SV142 @ SV212 ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1552]) ).
thf(1622,plain,
! [SV212: refine432681134nres_b,SV142: refine432681134nres_b,SV184: refine432681134nres_b,SV87: refine432681134nres_b] :
( ( $false = $false )
| ( ( ord_le527798542nres_b @ ( if_Ref1732808808nres_b @ $false @ SV87 @ SV184 ) @ ( if_Ref1732808808nres_b @ $false @ SV142 @ SV212 ) )
= $true )
| ( ( ord_le527798542nres_b @ SV87 @ SV142 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1554]) ).
thf(1623,plain,
! [SV96: refine424419629nres_a,SV148: refine424419629nres_a,SV31: refine424419629nres_a > refine424419629nres_a > $o] :
( ( ( SV31 @ ( refine1198353288_RES_a @ ( sK31_SY285 @ SV148 @ SV96 @ SV31 ) ) @ ( refine1198353288_RES_a @ ( sK46_SY651 @ SV96 @ SV148 @ SV31 ) ) )
= $false )
| ( ( SV31 @ SV96 @ SV148 )
= $true )
| ( ( SV31 @ ( refine1198353288_RES_a @ ( sK14_SY284 @ SV148 @ SV96 @ SV31 ) ) @ refine464223677AILi_a )
= $false )
| ( ( SV31 @ refine464223677AILi_a @ ( sK4_SY283 @ SV148 @ SV96 @ SV31 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1555]) ).
thf(1624,plain,
! [SV150: refine432681134nres_b > refine424419629nres_a,SV34: refine432681134nres_b,SV187: refine424419629nres_a,SV99: refine432681134nres_b] :
( ( ( ~ ( ord_le527798542nres_b @ ( sK18_SY554 @ SV99 @ SV187 @ SV34 @ SV150 ) @ ( sK32_SY639 @ SV150 @ SV34 @ SV187 @ SV99 ) ) )
= $false )
| ( ( ord_le519537037nres_a @ ( SV150 @ SV34 ) @ SV187 )
= $true )
| ( ( ( SV150 @ SV99 )
= SV187 )
= $false )
| ( ( ord_le527798542nres_b @ SV34 @ SV99 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1556]) ).
thf(1625,plain,
! [SV34: refine432681134nres_b,SV187: refine424419629nres_a,SV99: refine432681134nres_b,SV150: refine432681134nres_b > refine424419629nres_a] :
( ( ( ord_le519537037nres_a @ ( SV150 @ ( sK18_SY554 @ SV99 @ SV187 @ SV34 @ SV150 ) ) @ ( SV150 @ ( sK32_SY639 @ SV150 @ SV34 @ SV187 @ SV99 ) ) )
= $false )
| ( ( ord_le519537037nres_a @ ( SV150 @ SV34 ) @ SV187 )
= $true )
| ( ( ( SV150 @ SV99 )
= SV187 )
= $false )
| ( ( ord_le527798542nres_b @ SV34 @ SV99 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1556]) ).
thf(1626,plain,
! [SV151: refine432681134nres_b > refine432681134nres_b,SV35: refine432681134nres_b,SV188: refine432681134nres_b,SV100: refine432681134nres_b] :
( ( ( ~ ( ord_le527798542nres_b @ ( sK19_SY557 @ SV100 @ SV188 @ SV35 @ SV151 ) @ ( sK33_SY640 @ SV151 @ SV35 @ SV188 @ SV100 ) ) )
= $false )
| ( ( ord_le527798542nres_b @ ( SV151 @ SV35 ) @ SV188 )
= $true )
| ( ( ( SV151 @ SV100 )
= SV188 )
= $false )
| ( ( ord_le527798542nres_b @ SV35 @ SV100 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1557]) ).
thf(1627,plain,
! [SV35: refine432681134nres_b,SV188: refine432681134nres_b,SV100: refine432681134nres_b,SV151: refine432681134nres_b > refine432681134nres_b] :
( ( ( ord_le527798542nres_b @ ( SV151 @ ( sK19_SY557 @ SV100 @ SV188 @ SV35 @ SV151 ) ) @ ( SV151 @ ( sK33_SY640 @ SV151 @ SV35 @ SV188 @ SV100 ) ) )
= $false )
| ( ( ord_le527798542nres_b @ ( SV151 @ SV35 ) @ SV188 )
= $true )
| ( ( ( SV151 @ SV100 )
= SV188 )
= $false )
| ( ( ord_le527798542nres_b @ SV35 @ SV100 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1557]) ).
thf(1628,plain,
! [SV153: refine432681134nres_b,SV189: refine432681134nres_b,SV102: refine432681134nres_b,SV37: $o] :
( ( SV37 = $false )
| ( ( ord_le527798542nres_b @ ( if_Ref1732808808nres_b @ SV37 @ SV102 @ SV189 ) @ SV153 )
= $true )
| ( SV37 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1558]) ).
thf(1629,plain,
! [SV154: refine432681134nres_b,SV190: refine432681134nres_b,SV103: refine432681134nres_b] :
( ( $true = $false )
| ( ( ord_le527798542nres_b @ ( if_Ref1732808808nres_b @ $true @ SV103 @ SV190 ) @ SV154 )
= $true )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1560]) ).
thf(1630,plain,
! [SV155: refine432681134nres_b,SV191: refine432681134nres_b,SV104: refine432681134nres_b] :
( ( $false = $false )
| ( ( ord_le527798542nres_b @ ( if_Ref1732808808nres_b @ $false @ SV104 @ SV191 ) @ SV155 )
= $true )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1562]) ).
thf(1631,plain,
! [SV105: refine424419629nres_a,SV156: refine424419629nres_a,SV38: refine424419629nres_a > refine424419629nres_a > $o] :
( ( ( SV38 @ refine464223677AILi_a @ ( refine1198353288_RES_a @ ( sK47_SY312 @ SV156 @ SV105 @ SV38 ) ) )
= $false )
| ( ( SV38 @ SV105 @ SV156 )
= $true )
| ( ( SV38 @ ( refine1198353288_RES_a @ ( sK15_SY310 @ SV156 @ SV105 @ SV38 ) ) @ ( refine1198353288_RES_a @ ( sK17_SY638 @ SV105 @ SV156 @ SV38 ) ) )
= $false )
| ( ( SV38 @ ( sK5_SY309 @ SV156 @ SV105 @ SV38 ) @ refine464223677AILi_a )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1564]) ).
thf(1632,plain,
! [SV158: refine432681134nres_b > refine432681134nres_b,SV40: refine432681134nres_b,SV193: refine432681134nres_b,SV107: refine432681134nres_b] :
( ( ( ~ ( ord_le527798542nres_b @ ( sK20_SY569 @ SV107 @ SV193 @ SV40 @ SV158 ) @ ( sK34_SY641 @ SV158 @ SV40 @ SV193 @ SV107 ) ) )
= $false )
| ( ( ord_le527798542nres_b @ ( SV158 @ SV40 ) @ SV193 )
= $true )
| ( ( ord_le527798542nres_b @ ( SV158 @ SV107 ) @ SV193 )
= $false )
| ( ( ord_le527798542nres_b @ SV40 @ SV107 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1565]) ).
thf(1633,plain,
! [SV40: refine432681134nres_b,SV193: refine432681134nres_b,SV107: refine432681134nres_b,SV158: refine432681134nres_b > refine432681134nres_b] :
( ( ( ord_le527798542nres_b @ ( SV158 @ ( sK20_SY569 @ SV107 @ SV193 @ SV40 @ SV158 ) ) @ ( SV158 @ ( sK34_SY641 @ SV158 @ SV40 @ SV193 @ SV107 ) ) )
= $false )
| ( ( ord_le527798542nres_b @ ( SV158 @ SV40 ) @ SV193 )
= $true )
| ( ( ord_le527798542nres_b @ ( SV158 @ SV107 ) @ SV193 )
= $false )
| ( ( ord_le527798542nres_b @ SV40 @ SV107 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1565]) ).
thf(1634,plain,
! [SV108: refine424419629nres_a > refine432681134nres_b,SV41: refine432681134nres_b,SV194: refine424419629nres_a,SV159: refine424419629nres_a] :
( ( ( ~ ( ord_le519537037nres_a @ ( sK21_SY474 @ SV159 @ SV194 @ SV41 @ SV108 ) @ ( sK35_SY642 @ SV108 @ SV41 @ SV194 @ SV159 ) ) )
= $false )
| ( ( ord_le527798542nres_b @ SV41 @ ( SV108 @ SV194 ) )
= $true )
| ( ( ord_le519537037nres_a @ SV159 @ SV194 )
= $false )
| ( ( ord_le527798542nres_b @ SV41 @ ( SV108 @ SV159 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1566]) ).
thf(1635,plain,
! [SV41: refine432681134nres_b,SV194: refine424419629nres_a,SV159: refine424419629nres_a,SV108: refine424419629nres_a > refine432681134nres_b] :
( ( ( ord_le527798542nres_b @ ( SV108 @ ( sK21_SY474 @ SV159 @ SV194 @ SV41 @ SV108 ) ) @ ( SV108 @ ( sK35_SY642 @ SV108 @ SV41 @ SV194 @ SV159 ) ) )
= $false )
| ( ( ord_le527798542nres_b @ SV41 @ ( SV108 @ SV194 ) )
= $true )
| ( ( ord_le519537037nres_a @ SV159 @ SV194 )
= $false )
| ( ( ord_le527798542nres_b @ SV41 @ ( SV108 @ SV159 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1566]) ).
thf(1636,plain,
! [SV196: refine432681134nres_b,SV111: refine432681134nres_b] :
( ( ( ~ ( ord_le527798542nres_b @ SV111 @ SV196 ) )
= $false )
| ( ( SV111 = SV196 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1567]) ).
thf(1637,plain,
! [SV111: refine432681134nres_b,SV196: refine432681134nres_b] :
( ( ( ~ ( ord_le527798542nres_b @ SV196 @ SV111 ) )
= $false )
| ( ( SV111 = SV196 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1567]) ).
thf(1638,plain,
! [SV196: refine432681134nres_b,SV111: refine432681134nres_b] :
( ( ( ( SV111 != SV196 )
| ~ ~ ( ~ ( ord_le527798542nres_b @ SV111 @ SV196 )
| ~ ( ord_le527798542nres_b @ SV196 @ SV111 ) ) )
= $false )
| ( ( ord_le527798542nres_b @ SV111 @ SV196 )
= $false )
| ( ( ord_le527798542nres_b @ SV196 @ SV111 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1568]) ).
thf(1639,plain,
! [SV116: refine432681134nres_b > refine424419629nres_a,SV49: refine424419629nres_a,SV197: refine432681134nres_b,SV164: refine432681134nres_b] :
( ( ( ~ ( ord_le527798542nres_b @ ( sK22_SY485 @ SV164 @ SV197 @ SV49 @ SV116 ) @ ( sK36_SY643 @ SV116 @ SV49 @ SV197 @ SV164 ) ) )
= $false )
| ( ( ord_le519537037nres_a @ SV49 @ ( SV116 @ SV197 ) )
= $true )
| ( ( ord_le527798542nres_b @ SV164 @ SV197 )
= $false )
| ( ( ord_le519537037nres_a @ SV49 @ ( SV116 @ SV164 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1569]) ).
thf(1640,plain,
! [SV49: refine424419629nres_a,SV197: refine432681134nres_b,SV164: refine432681134nres_b,SV116: refine432681134nres_b > refine424419629nres_a] :
( ( ( ord_le519537037nres_a @ ( SV116 @ ( sK22_SY485 @ SV164 @ SV197 @ SV49 @ SV116 ) ) @ ( SV116 @ ( sK36_SY643 @ SV116 @ SV49 @ SV197 @ SV164 ) ) )
= $false )
| ( ( ord_le519537037nres_a @ SV49 @ ( SV116 @ SV197 ) )
= $true )
| ( ( ord_le527798542nres_b @ SV164 @ SV197 )
= $false )
| ( ( ord_le519537037nres_a @ SV49 @ ( SV116 @ SV164 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1569]) ).
thf(1641,plain,
! [SV117: refine432681134nres_b > refine432681134nres_b,SV50: refine432681134nres_b,SV198: refine432681134nres_b,SV165: refine432681134nres_b] :
( ( ( ~ ( ord_le527798542nres_b @ ( sK23_SY489 @ SV165 @ SV198 @ SV50 @ SV117 ) @ ( sK37_SY644 @ SV117 @ SV50 @ SV198 @ SV165 ) ) )
= $false )
| ( ( ord_le527798542nres_b @ SV50 @ ( SV117 @ SV198 ) )
= $true )
| ( ( ord_le527798542nres_b @ SV165 @ SV198 )
= $false )
| ( ( SV50
= ( SV117 @ SV165 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1570]) ).
thf(1642,plain,
! [SV50: refine432681134nres_b,SV198: refine432681134nres_b,SV165: refine432681134nres_b,SV117: refine432681134nres_b > refine432681134nres_b] :
( ( ( ord_le527798542nres_b @ ( SV117 @ ( sK23_SY489 @ SV165 @ SV198 @ SV50 @ SV117 ) ) @ ( SV117 @ ( sK37_SY644 @ SV117 @ SV50 @ SV198 @ SV165 ) ) )
= $false )
| ( ( ord_le527798542nres_b @ SV50 @ ( SV117 @ SV198 ) )
= $true )
| ( ( ord_le527798542nres_b @ SV165 @ SV198 )
= $false )
| ( ( SV50
= ( SV117 @ SV165 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1570]) ).
thf(1643,plain,
! [SV201: refine432681134nres_b,SV120: refine432681134nres_b] :
( ( ( ~ ( ord_le527798542nres_b @ SV120 @ SV201 ) )
= $false )
| ( ( SV120 = SV201 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1571]) ).
thf(1644,plain,
! [SV120: refine432681134nres_b,SV201: refine432681134nres_b] :
( ( ( ~ ( ord_le527798542nres_b @ SV201 @ SV120 ) )
= $false )
| ( ( SV120 = SV201 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1571]) ).
thf(1645,plain,
! [SV201: refine432681134nres_b,SV120: refine432681134nres_b] :
( ( ( ( SV120 != SV201 )
| ~ ~ ( ~ ( ord_le527798542nres_b @ SV120 @ SV201 )
| ~ ( ord_le527798542nres_b @ SV201 @ SV120 ) ) )
= $false )
| ( ( ord_le527798542nres_b @ SV120 @ SV201 )
= $false )
| ( ( ord_le527798542nres_b @ SV201 @ SV120 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1572]) ).
thf(1646,plain,
! [SV215: set_a,SV123: refine424419629nres_a] :
( ( ( ! [SY500: set_a] :
( SV123
!= ( refine1198353288_RES_a @ SY500 ) ) )
= $false )
| ( ( SV123
= ( refine1198353288_RES_a @ SV215 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1575]) ).
thf(1647,plain,
! [SV170: refine424419629nres_a > refine432681134nres_b,SV59: refine424419629nres_a,SV202: refine432681134nres_b,SV124: refine424419629nres_a] :
( ( ( ~ ( ord_le519537037nres_a @ ( sK25_SY585 @ SV124 @ SV202 @ SV59 @ SV170 ) @ ( sK38_SY645 @ SV170 @ SV59 @ SV202 @ SV124 ) ) )
= $false )
| ( ( ord_le527798542nres_b @ ( SV170 @ SV59 ) @ SV202 )
= $true )
| ( ( ( SV170 @ SV124 )
= SV202 )
= $false )
| ( ( ord_le519537037nres_a @ SV59 @ SV124 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1576]) ).
thf(1648,plain,
! [SV59: refine424419629nres_a,SV202: refine432681134nres_b,SV124: refine424419629nres_a,SV170: refine424419629nres_a > refine432681134nres_b] :
( ( ( ord_le527798542nres_b @ ( SV170 @ ( sK25_SY585 @ SV124 @ SV202 @ SV59 @ SV170 ) ) @ ( SV170 @ ( sK38_SY645 @ SV170 @ SV59 @ SV202 @ SV124 ) ) )
= $false )
| ( ( ord_le527798542nres_b @ ( SV170 @ SV59 ) @ SV202 )
= $true )
| ( ( ( SV170 @ SV124 )
= SV202 )
= $false )
| ( ( ord_le519537037nres_a @ SV59 @ SV124 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1576]) ).
thf(1649,plain,
! [SV125: refine432681134nres_b > refine432681134nres_b,SV60: refine432681134nres_b,SV203: refine432681134nres_b,SV171: refine432681134nres_b] :
( ( ( ~ ( ord_le527798542nres_b @ ( sK26_SY507 @ SV171 @ SV203 @ SV60 @ SV125 ) @ ( sK39_SY646 @ SV125 @ SV60 @ SV203 @ SV171 ) ) )
= $false )
| ( ( ord_le527798542nres_b @ SV60 @ ( SV125 @ SV203 ) )
= $true )
| ( ( ord_le527798542nres_b @ SV171 @ SV203 )
= $false )
| ( ( ord_le527798542nres_b @ SV60 @ ( SV125 @ SV171 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1577]) ).
thf(1650,plain,
! [SV60: refine432681134nres_b,SV203: refine432681134nres_b,SV171: refine432681134nres_b,SV125: refine432681134nres_b > refine432681134nres_b] :
( ( ( ord_le527798542nres_b @ ( SV125 @ ( sK26_SY507 @ SV171 @ SV203 @ SV60 @ SV125 ) ) @ ( SV125 @ ( sK39_SY646 @ SV125 @ SV60 @ SV203 @ SV171 ) ) )
= $false )
| ( ( ord_le527798542nres_b @ SV60 @ ( SV125 @ SV203 ) )
= $true )
| ( ( ord_le527798542nres_b @ SV171 @ SV203 )
= $false )
| ( ( ord_le527798542nres_b @ SV60 @ ( SV125 @ SV171 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1577]) ).
thf(1651,plain,
! [SV126: refine424419629nres_a,SV172: refine424419629nres_a,SV61: refine424419629nres_a > refine424419629nres_a > $o] :
( ( ( SV61 @ ( refine1198353288_RES_a @ ( sK40_SY379 @ SV172 @ SV126 @ SV61 ) ) @ ( refine1198353288_RES_a @ ( sK48_SY652 @ SV126 @ SV172 @ SV61 ) ) )
= $false )
| ( ( SV61 @ SV126 @ SV172 )
= $true )
| ( ( SV61 @ refine464223677AILi_a @ ( refine1198353288_RES_a @ ( sK16_SY378 @ SV172 @ SV126 @ SV61 ) ) )
= $false )
| ( ( SV61 @ ( sK7_SY377 @ SV172 @ SV126 @ SV61 ) @ refine464223677AILi_a )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1578]) ).
thf(1652,plain,
! [SV127: a > $o,SV218: a,SV62: a > $o] :
( ( ( ~ ( SV62 @ SV218 )
| ( SV127 @ SV218 ) )
= $true )
| ( ( SV62 @ ( sK11_SY514 @ SV127 @ SV62 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1581]) ).
thf(1653,plain,
! [SV127: a > $o,SV217: a,SV62: a > $o] :
( ( ( ~ ( SV62 @ SV217 ) )
= $true )
| ( ( SV127 @ SV217 )
= $true )
| ( ( SV127 @ ( sK11_SY514 @ SV127 @ SV62 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1582]) ).
thf(1654,plain,
! [SV128: refine432681134nres_b > refine424419629nres_a,SV65: refine424419629nres_a,SV204: refine432681134nres_b,SV173: refine432681134nres_b] :
( ( ( ~ ( ord_le527798542nres_b @ ( sK27_SY517 @ SV173 @ SV204 @ SV65 @ SV128 ) @ ( sK41_SY647 @ SV128 @ SV65 @ SV204 @ SV173 ) ) )
= $false )
| ( ( ord_le519537037nres_a @ SV65 @ ( SV128 @ SV204 ) )
= $true )
| ( ( ord_le527798542nres_b @ SV173 @ SV204 )
= $false )
| ( ( SV65
= ( SV128 @ SV173 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1583]) ).
thf(1655,plain,
! [SV65: refine424419629nres_a,SV204: refine432681134nres_b,SV173: refine432681134nres_b,SV128: refine432681134nres_b > refine424419629nres_a] :
( ( ( ord_le519537037nres_a @ ( SV128 @ ( sK27_SY517 @ SV173 @ SV204 @ SV65 @ SV128 ) ) @ ( SV128 @ ( sK41_SY647 @ SV128 @ SV65 @ SV204 @ SV173 ) ) )
= $false )
| ( ( ord_le519537037nres_a @ SV65 @ ( SV128 @ SV204 ) )
= $true )
| ( ( ord_le527798542nres_b @ SV173 @ SV204 )
= $false )
| ( ( SV65
= ( SV128 @ SV173 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1583]) ).
thf(1656,plain,
! [SV131: refine432681134nres_b,SV205: refine432681134nres_b] :
( ( ( ~ ( ord_le527798542nres_b @ SV205 @ SV131 ) )
= $false )
| ( ( SV131 = SV205 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1584]) ).
thf(1657,plain,
! [SV205: refine432681134nres_b,SV131: refine432681134nres_b] :
( ( ( ~ ( ord_le527798542nres_b @ SV131 @ SV205 ) )
= $false )
| ( ( SV131 = SV205 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1584]) ).
thf(1658,plain,
! [SV205: refine432681134nres_b,SV131: refine432681134nres_b] :
( ( ( ( SV131 != SV205 )
| ~ ~ ( ~ ( ord_le527798542nres_b @ SV205 @ SV131 )
| ~ ( ord_le527798542nres_b @ SV131 @ SV205 ) ) )
= $false )
| ( ( ord_le527798542nres_b @ SV205 @ SV131 )
= $false )
| ( ( ord_le527798542nres_b @ SV131 @ SV205 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1585]) ).
thf(1659,plain,
! [SV177: refine424419629nres_a > refine432681134nres_b,SV69: refine424419629nres_a,SV206: refine432681134nres_b,SV132: refine424419629nres_a] :
( ( ( ~ ( ord_le519537037nres_a @ ( sK28_SY598 @ SV132 @ SV206 @ SV69 @ SV177 ) @ ( sK42_SY648 @ SV177 @ SV69 @ SV206 @ SV132 ) ) )
= $false )
| ( ( ord_le527798542nres_b @ ( SV177 @ SV69 ) @ SV206 )
= $true )
| ( ( ord_le527798542nres_b @ ( SV177 @ SV132 ) @ SV206 )
= $false )
| ( ( ord_le519537037nres_a @ SV69 @ SV132 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1586]) ).
thf(1660,plain,
! [SV69: refine424419629nres_a,SV206: refine432681134nres_b,SV132: refine424419629nres_a,SV177: refine424419629nres_a > refine432681134nres_b] :
( ( ( ord_le527798542nres_b @ ( SV177 @ ( sK28_SY598 @ SV132 @ SV206 @ SV69 @ SV177 ) ) @ ( SV177 @ ( sK42_SY648 @ SV177 @ SV69 @ SV206 @ SV132 ) ) )
= $false )
| ( ( ord_le527798542nres_b @ ( SV177 @ SV69 ) @ SV206 )
= $true )
| ( ( ord_le527798542nres_b @ ( SV177 @ SV132 ) @ SV206 )
= $false )
| ( ( ord_le519537037nres_a @ SV69 @ SV132 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1586]) ).
thf(1661,plain,
! [SV178: refine432681134nres_b > $o,SV133: refine432681134nres_b,SV70: refine432681134nres_b > $o] :
( ( ( ~ ( SV70 @ ( sK49_SY601 @ SV133 @ SV178 @ SV70 ) )
| ~ ! [SY654: refine432681134nres_b] :
( ~ ( SV70 @ SY654 )
| ( ord_le527798542nres_b @ SY654 @ ( sK49_SY601 @ SV133 @ SV178 @ SV70 ) ) )
| ( SV178 @ ( sK49_SY601 @ SV133 @ SV178 @ SV70 ) ) )
= $false )
| ( ( SV178 @ ( order_1722590613nres_b @ SV70 ) )
= $true )
| ( ( SV70 @ ( sK13_SY528 @ SV178 @ SV133 @ SV70 ) )
= $true )
| ( ( SV70 @ SV133 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1587]) ).
thf(1662,plain,
! [SV178: refine432681134nres_b > $o,SV133: refine432681134nres_b,SV70: refine432681134nres_b > $o] :
( ( ( ~ ( SV70 @ ( sK43_SY601 @ SV133 @ SV178 @ SV70 ) ) )
= $false )
| ( ( SV178 @ ( order_1722590613nres_b @ SV70 ) )
= $true )
| ( ( ord_le527798542nres_b @ ( sK13_SY528 @ SV178 @ SV133 @ SV70 ) @ SV133 )
= $false )
| ( ( SV70 @ SV133 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1588]) ).
thf(1663,plain,
! [SV178: refine432681134nres_b > $o,SV133: refine432681134nres_b,SV70: refine432681134nres_b > $o] :
( ( ( ~ ! [SY653: refine432681134nres_b] :
( ~ ( SV70 @ SY653 )
| ( ord_le527798542nres_b @ SY653 @ ( sK43_SY601 @ SV133 @ SV178 @ SV70 ) ) )
| ( SV178 @ ( sK43_SY601 @ SV133 @ SV178 @ SV70 ) ) )
= $false )
| ( ( SV178 @ ( order_1722590613nres_b @ SV70 ) )
= $true )
| ( ( ord_le527798542nres_b @ ( sK13_SY528 @ SV178 @ SV133 @ SV70 ) @ SV133 )
= $false )
| ( ( SV70 @ SV133 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1588]) ).
thf(1664,plain,
! [SV135: refine424419629nres_a > refine432681134nres_b,SV72: refine432681134nres_b,SV207: refine424419629nres_a,SV179: refine424419629nres_a] :
( ( ( ~ ( ord_le519537037nres_a @ ( sK29_SY533 @ SV179 @ SV207 @ SV72 @ SV135 ) @ ( sK44_SY649 @ SV135 @ SV72 @ SV207 @ SV179 ) ) )
= $false )
| ( ( ord_le527798542nres_b @ SV72 @ ( SV135 @ SV207 ) )
= $true )
| ( ( ord_le519537037nres_a @ SV179 @ SV207 )
= $false )
| ( ( SV72
= ( SV135 @ SV179 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1589]) ).
thf(1665,plain,
! [SV72: refine432681134nres_b,SV207: refine424419629nres_a,SV179: refine424419629nres_a,SV135: refine424419629nres_a > refine432681134nres_b] :
( ( ( ord_le527798542nres_b @ ( SV135 @ ( sK29_SY533 @ SV179 @ SV207 @ SV72 @ SV135 ) ) @ ( SV135 @ ( sK44_SY649 @ SV135 @ SV72 @ SV207 @ SV179 ) ) )
= $false )
| ( ( ord_le527798542nres_b @ SV72 @ ( SV135 @ SV207 ) )
= $true )
| ( ( ord_le519537037nres_a @ SV179 @ SV207 )
= $false )
| ( ( SV72
= ( SV135 @ SV179 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1589]) ).
thf(1666,plain,
! [SV180: refine432681134nres_b > refine424419629nres_a,SV74: refine432681134nres_b,SV208: refine424419629nres_a,SV137: refine432681134nres_b] :
( ( ( ~ ( ord_le527798542nres_b @ ( sK30_SY607 @ SV137 @ SV208 @ SV74 @ SV180 ) @ ( sK45_SY650 @ SV180 @ SV74 @ SV208 @ SV137 ) ) )
= $false )
| ( ( ord_le519537037nres_a @ ( SV180 @ SV74 ) @ SV208 )
= $true )
| ( ( ord_le519537037nres_a @ ( SV180 @ SV137 ) @ SV208 )
= $false )
| ( ( ord_le527798542nres_b @ SV74 @ SV137 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1590]) ).
thf(1667,plain,
! [SV74: refine432681134nres_b,SV208: refine424419629nres_a,SV137: refine432681134nres_b,SV180: refine432681134nres_b > refine424419629nres_a] :
( ( ( ord_le519537037nres_a @ ( SV180 @ ( sK30_SY607 @ SV137 @ SV208 @ SV74 @ SV180 ) ) @ ( SV180 @ ( sK45_SY650 @ SV180 @ SV74 @ SV208 @ SV137 ) ) )
= $false )
| ( ( ord_le519537037nres_a @ ( SV180 @ SV74 ) @ SV208 )
= $true )
| ( ( ord_le519537037nres_a @ ( SV180 @ SV137 ) @ SV208 )
= $false )
| ( ( ord_le527798542nres_b @ SV74 @ SV137 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1590]) ).
thf(1668,plain,
! [SV209: $o > refine432681134nres_b,SV139: $o > refine432681134nres_b] :
( ( ( ~ ( ord_le527798542nres_b @ ( SV139 @ $false ) @ ( SV209 @ $false ) ) )
= $false )
| ( ( ord_le1656162903nres_b @ SV139 @ SV209 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1591]) ).
thf(1669,plain,
! [SV209: $o > refine432681134nres_b,SV139: $o > refine432681134nres_b] :
( ( ( ~ ( ord_le527798542nres_b @ ( SV139 @ $true ) @ ( SV209 @ $true ) ) )
= $false )
| ( ( ord_le1656162903nres_b @ SV139 @ SV209 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1591]) ).
thf(1670,plain,
! [SV209: $o > refine432681134nres_b,SV139: $o > refine432681134nres_b] :
( ( ( ~ ( ord_le1656162903nres_b @ SV139 @ SV209 )
| ~ ~ ( ~ ( ord_le527798542nres_b @ ( SV139 @ $false ) @ ( SV209 @ $false ) )
| ~ ( ord_le527798542nres_b @ ( SV139 @ $true ) @ ( SV209 @ $true ) ) ) )
= $false )
| ( ( ord_le527798542nres_b @ ( SV139 @ $false ) @ ( SV209 @ $false ) )
= $false )
| ( ( ord_le527798542nres_b @ ( SV139 @ $true ) @ ( SV209 @ $true ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1592]) ).
thf(1671,plain,
! [SV18: $o] :
( ( ( ~ SV18
| ~ $false )
= $false )
| ( SV18 = $false )
| ( SV18 = $false )
| ( SV18 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1593]) ).
thf(1672,plain,
! [SV18: $o] :
( ( ( ~ SV18
| ~ $false )
= $false )
| ( $false = $false )
| ( SV18 = $false )
| ( SV18 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1594]) ).
thf(1673,plain,
! [SV18: $o] :
( ( ( ~ SV18
| ~ $false )
= $false )
| ( SV18 = $false )
| ( SV18 = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1595]) ).
thf(1674,plain,
! [SV18: $o] :
( ( ( ~ SV18
| ~ $false )
= $false )
| ( $false = $false )
| ( SV18 = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1596]) ).
thf(1675,plain,
! [SV18: $o] :
( ( ( ~ SV18
| ~ $false )
= $false )
| ( SV18 = $false )
| ( $true = $false )
| ( SV18 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1597]) ).
thf(1676,plain,
! [SV18: $o] :
( ( ( ~ SV18
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( SV18 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1598]) ).
thf(1677,plain,
! [SV18: $o] :
( ( ( ~ SV18
| ~ $false )
= $false )
| ( SV18 = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1599]) ).
thf(1678,plain,
! [SV18: $o] :
( ( ( ~ SV18
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1600]) ).
thf(1679,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1601]) ).
thf(1680,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1602]) ).
thf(1681,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1603]) ).
thf(1682,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1604]) ).
thf(1683,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1605]) ).
thf(1684,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1606]) ).
thf(1685,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1607]) ).
thf(1686,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1608]) ).
thf(1687,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1609]) ).
thf(1688,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1610]) ).
thf(1689,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1611]) ).
thf(1690,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1612]) ).
thf(1691,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1613]) ).
thf(1692,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1614]) ).
thf(1693,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1615]) ).
thf(1694,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1616]) ).
thf(1695,plain,
! [SV210: refine432681134nres_b,SV140: refine432681134nres_b,SV182: refine432681134nres_b,SV85: refine432681134nres_b,SV21: $o] :
( ( SV21 = $false )
| ( ( ord_le527798542nres_b @ ( if_Ref1732808808nres_b @ SV21 @ SV85 @ SV182 ) @ ( if_Ref1732808808nres_b @ SV21 @ SV140 @ SV210 ) )
= $true )
| ( SV21 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1617]) ).
thf(1696,plain,
! [SV211: refine432681134nres_b,SV141: refine432681134nres_b,SV183: refine432681134nres_b,SV86: refine432681134nres_b] :
( ( $true = $false )
| ( ( ord_le527798542nres_b @ ( if_Ref1732808808nres_b @ $true @ SV86 @ SV183 ) @ ( if_Ref1732808808nres_b @ $true @ SV141 @ SV211 ) )
= $true )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1619]) ).
thf(1697,plain,
! [SV212: refine432681134nres_b,SV142: refine432681134nres_b,SV184: refine432681134nres_b,SV87: refine432681134nres_b] :
( ( $false = $false )
| ( ( ord_le527798542nres_b @ ( if_Ref1732808808nres_b @ $false @ SV87 @ SV184 ) @ ( if_Ref1732808808nres_b @ $false @ SV142 @ SV212 ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1621]) ).
thf(1698,plain,
! [SV150: refine432681134nres_b > refine424419629nres_a,SV34: refine432681134nres_b,SV187: refine424419629nres_a,SV99: refine432681134nres_b] :
( ( ( ord_le527798542nres_b @ ( sK18_SY554 @ SV99 @ SV187 @ SV34 @ SV150 ) @ ( sK32_SY639 @ SV150 @ SV34 @ SV187 @ SV99 ) )
= $true )
| ( ( ord_le519537037nres_a @ ( SV150 @ SV34 ) @ SV187 )
= $true )
| ( ( ( SV150 @ SV99 )
= SV187 )
= $false )
| ( ( ord_le527798542nres_b @ SV34 @ SV99 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1624]) ).
thf(1699,plain,
! [SV151: refine432681134nres_b > refine432681134nres_b,SV35: refine432681134nres_b,SV188: refine432681134nres_b,SV100: refine432681134nres_b] :
( ( ( ord_le527798542nres_b @ ( sK19_SY557 @ SV100 @ SV188 @ SV35 @ SV151 ) @ ( sK33_SY640 @ SV151 @ SV35 @ SV188 @ SV100 ) )
= $true )
| ( ( ord_le527798542nres_b @ ( SV151 @ SV35 ) @ SV188 )
= $true )
| ( ( ( SV151 @ SV100 )
= SV188 )
= $false )
| ( ( ord_le527798542nres_b @ SV35 @ SV100 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1626]) ).
thf(1700,plain,
! [SV158: refine432681134nres_b > refine432681134nres_b,SV40: refine432681134nres_b,SV193: refine432681134nres_b,SV107: refine432681134nres_b] :
( ( ( ord_le527798542nres_b @ ( sK20_SY569 @ SV107 @ SV193 @ SV40 @ SV158 ) @ ( sK34_SY641 @ SV158 @ SV40 @ SV193 @ SV107 ) )
= $true )
| ( ( ord_le527798542nres_b @ ( SV158 @ SV40 ) @ SV193 )
= $true )
| ( ( ord_le527798542nres_b @ ( SV158 @ SV107 ) @ SV193 )
= $false )
| ( ( ord_le527798542nres_b @ SV40 @ SV107 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1632]) ).
thf(1701,plain,
! [SV108: refine424419629nres_a > refine432681134nres_b,SV41: refine432681134nres_b,SV194: refine424419629nres_a,SV159: refine424419629nres_a] :
( ( ( ord_le519537037nres_a @ ( sK21_SY474 @ SV159 @ SV194 @ SV41 @ SV108 ) @ ( sK35_SY642 @ SV108 @ SV41 @ SV194 @ SV159 ) )
= $true )
| ( ( ord_le527798542nres_b @ SV41 @ ( SV108 @ SV194 ) )
= $true )
| ( ( ord_le519537037nres_a @ SV159 @ SV194 )
= $false )
| ( ( ord_le527798542nres_b @ SV41 @ ( SV108 @ SV159 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1634]) ).
thf(1702,plain,
! [SV196: refine432681134nres_b,SV111: refine432681134nres_b] :
( ( ( ord_le527798542nres_b @ SV111 @ SV196 )
= $true )
| ( ( SV111 = SV196 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1636]) ).
thf(1703,plain,
! [SV111: refine432681134nres_b,SV196: refine432681134nres_b] :
( ( ( ord_le527798542nres_b @ SV196 @ SV111 )
= $true )
| ( ( SV111 = SV196 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1637]) ).
thf(1704,plain,
! [SV196: refine432681134nres_b,SV111: refine432681134nres_b] :
( ( ( SV111 != SV196 )
= $false )
| ( ( ord_le527798542nres_b @ SV111 @ SV196 )
= $false )
| ( ( ord_le527798542nres_b @ SV196 @ SV111 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1638]) ).
thf(1705,plain,
! [SV196: refine432681134nres_b,SV111: refine432681134nres_b] :
( ( ( ~ ~ ( ~ ( ord_le527798542nres_b @ SV111 @ SV196 )
| ~ ( ord_le527798542nres_b @ SV196 @ SV111 ) ) )
= $false )
| ( ( ord_le527798542nres_b @ SV111 @ SV196 )
= $false )
| ( ( ord_le527798542nres_b @ SV196 @ SV111 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1638]) ).
thf(1706,plain,
! [SV116: refine432681134nres_b > refine424419629nres_a,SV49: refine424419629nres_a,SV197: refine432681134nres_b,SV164: refine432681134nres_b] :
( ( ( ord_le527798542nres_b @ ( sK22_SY485 @ SV164 @ SV197 @ SV49 @ SV116 ) @ ( sK36_SY643 @ SV116 @ SV49 @ SV197 @ SV164 ) )
= $true )
| ( ( ord_le519537037nres_a @ SV49 @ ( SV116 @ SV197 ) )
= $true )
| ( ( ord_le527798542nres_b @ SV164 @ SV197 )
= $false )
| ( ( ord_le519537037nres_a @ SV49 @ ( SV116 @ SV164 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1639]) ).
thf(1707,plain,
! [SV117: refine432681134nres_b > refine432681134nres_b,SV50: refine432681134nres_b,SV198: refine432681134nres_b,SV165: refine432681134nres_b] :
( ( ( ord_le527798542nres_b @ ( sK23_SY489 @ SV165 @ SV198 @ SV50 @ SV117 ) @ ( sK37_SY644 @ SV117 @ SV50 @ SV198 @ SV165 ) )
= $true )
| ( ( ord_le527798542nres_b @ SV50 @ ( SV117 @ SV198 ) )
= $true )
| ( ( ord_le527798542nres_b @ SV165 @ SV198 )
= $false )
| ( ( SV50
= ( SV117 @ SV165 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1641]) ).
thf(1708,plain,
! [SV201: refine432681134nres_b,SV120: refine432681134nres_b] :
( ( ( ord_le527798542nres_b @ SV120 @ SV201 )
= $true )
| ( ( SV120 = SV201 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1643]) ).
thf(1709,plain,
! [SV120: refine432681134nres_b,SV201: refine432681134nres_b] :
( ( ( ord_le527798542nres_b @ SV201 @ SV120 )
= $true )
| ( ( SV120 = SV201 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1644]) ).
thf(1710,plain,
! [SV201: refine432681134nres_b,SV120: refine432681134nres_b] :
( ( ( SV120 != SV201 )
= $false )
| ( ( ord_le527798542nres_b @ SV120 @ SV201 )
= $false )
| ( ( ord_le527798542nres_b @ SV201 @ SV120 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1645]) ).
thf(1711,plain,
! [SV201: refine432681134nres_b,SV120: refine432681134nres_b] :
( ( ( ~ ~ ( ~ ( ord_le527798542nres_b @ SV120 @ SV201 )
| ~ ( ord_le527798542nres_b @ SV201 @ SV120 ) ) )
= $false )
| ( ( ord_le527798542nres_b @ SV120 @ SV201 )
= $false )
| ( ( ord_le527798542nres_b @ SV201 @ SV120 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1645]) ).
thf(1712,plain,
! [SV215: set_a,SV123: refine424419629nres_a] :
( ( ( SV123
!= ( refine1198353288_RES_a @ ( sK50_SY500 @ SV215 @ SV123 ) ) )
= $false )
| ( ( SV123
= ( refine1198353288_RES_a @ SV215 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1646]) ).
thf(1713,plain,
! [SV170: refine424419629nres_a > refine432681134nres_b,SV59: refine424419629nres_a,SV202: refine432681134nres_b,SV124: refine424419629nres_a] :
( ( ( ord_le519537037nres_a @ ( sK25_SY585 @ SV124 @ SV202 @ SV59 @ SV170 ) @ ( sK38_SY645 @ SV170 @ SV59 @ SV202 @ SV124 ) )
= $true )
| ( ( ord_le527798542nres_b @ ( SV170 @ SV59 ) @ SV202 )
= $true )
| ( ( ( SV170 @ SV124 )
= SV202 )
= $false )
| ( ( ord_le519537037nres_a @ SV59 @ SV124 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1647]) ).
thf(1714,plain,
! [SV125: refine432681134nres_b > refine432681134nres_b,SV60: refine432681134nres_b,SV203: refine432681134nres_b,SV171: refine432681134nres_b] :
( ( ( ord_le527798542nres_b @ ( sK26_SY507 @ SV171 @ SV203 @ SV60 @ SV125 ) @ ( sK39_SY646 @ SV125 @ SV60 @ SV203 @ SV171 ) )
= $true )
| ( ( ord_le527798542nres_b @ SV60 @ ( SV125 @ SV203 ) )
= $true )
| ( ( ord_le527798542nres_b @ SV171 @ SV203 )
= $false )
| ( ( ord_le527798542nres_b @ SV60 @ ( SV125 @ SV171 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1649]) ).
thf(1715,plain,
! [SV127: a > $o,SV218: a,SV62: a > $o] :
( ( ( ~ ( SV62 @ SV218 ) )
= $true )
| ( ( SV127 @ SV218 )
= $true )
| ( ( SV62 @ ( sK11_SY514 @ SV127 @ SV62 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1652]) ).
thf(1716,plain,
! [SV127: a > $o,SV217: a,SV62: a > $o] :
( ( ( SV62 @ SV217 )
= $false )
| ( ( SV127 @ SV217 )
= $true )
| ( ( SV127 @ ( sK11_SY514 @ SV127 @ SV62 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1653]) ).
thf(1717,plain,
! [SV128: refine432681134nres_b > refine424419629nres_a,SV65: refine424419629nres_a,SV204: refine432681134nres_b,SV173: refine432681134nres_b] :
( ( ( ord_le527798542nres_b @ ( sK27_SY517 @ SV173 @ SV204 @ SV65 @ SV128 ) @ ( sK41_SY647 @ SV128 @ SV65 @ SV204 @ SV173 ) )
= $true )
| ( ( ord_le519537037nres_a @ SV65 @ ( SV128 @ SV204 ) )
= $true )
| ( ( ord_le527798542nres_b @ SV173 @ SV204 )
= $false )
| ( ( SV65
= ( SV128 @ SV173 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1654]) ).
thf(1718,plain,
! [SV131: refine432681134nres_b,SV205: refine432681134nres_b] :
( ( ( ord_le527798542nres_b @ SV205 @ SV131 )
= $true )
| ( ( SV131 = SV205 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1656]) ).
thf(1719,plain,
! [SV205: refine432681134nres_b,SV131: refine432681134nres_b] :
( ( ( ord_le527798542nres_b @ SV131 @ SV205 )
= $true )
| ( ( SV131 = SV205 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1657]) ).
thf(1720,plain,
! [SV205: refine432681134nres_b,SV131: refine432681134nres_b] :
( ( ( SV131 != SV205 )
= $false )
| ( ( ord_le527798542nres_b @ SV205 @ SV131 )
= $false )
| ( ( ord_le527798542nres_b @ SV131 @ SV205 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1658]) ).
thf(1721,plain,
! [SV131: refine432681134nres_b,SV205: refine432681134nres_b] :
( ( ( ~ ~ ( ~ ( ord_le527798542nres_b @ SV205 @ SV131 )
| ~ ( ord_le527798542nres_b @ SV131 @ SV205 ) ) )
= $false )
| ( ( ord_le527798542nres_b @ SV205 @ SV131 )
= $false )
| ( ( ord_le527798542nres_b @ SV131 @ SV205 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1658]) ).
thf(1722,plain,
! [SV177: refine424419629nres_a > refine432681134nres_b,SV69: refine424419629nres_a,SV206: refine432681134nres_b,SV132: refine424419629nres_a] :
( ( ( ord_le519537037nres_a @ ( sK28_SY598 @ SV132 @ SV206 @ SV69 @ SV177 ) @ ( sK42_SY648 @ SV177 @ SV69 @ SV206 @ SV132 ) )
= $true )
| ( ( ord_le527798542nres_b @ ( SV177 @ SV69 ) @ SV206 )
= $true )
| ( ( ord_le527798542nres_b @ ( SV177 @ SV132 ) @ SV206 )
= $false )
| ( ( ord_le519537037nres_a @ SV69 @ SV132 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1659]) ).
thf(1723,plain,
! [SV178: refine432681134nres_b > $o,SV133: refine432681134nres_b,SV70: refine432681134nres_b > $o] :
( ( ( ~ ( SV70 @ ( sK49_SY601 @ SV133 @ SV178 @ SV70 ) ) )
= $false )
| ( ( SV178 @ ( order_1722590613nres_b @ SV70 ) )
= $true )
| ( ( SV70 @ ( sK13_SY528 @ SV178 @ SV133 @ SV70 ) )
= $true )
| ( ( SV70 @ SV133 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1661]) ).
thf(1724,plain,
! [SV178: refine432681134nres_b > $o,SV133: refine432681134nres_b,SV70: refine432681134nres_b > $o] :
( ( ( ~ ! [SY654: refine432681134nres_b] :
( ~ ( SV70 @ SY654 )
| ( ord_le527798542nres_b @ SY654 @ ( sK49_SY601 @ SV133 @ SV178 @ SV70 ) ) )
| ( SV178 @ ( sK49_SY601 @ SV133 @ SV178 @ SV70 ) ) )
= $false )
| ( ( SV178 @ ( order_1722590613nres_b @ SV70 ) )
= $true )
| ( ( SV70 @ ( sK13_SY528 @ SV178 @ SV133 @ SV70 ) )
= $true )
| ( ( SV70 @ SV133 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1661]) ).
thf(1725,plain,
! [SV178: refine432681134nres_b > $o,SV133: refine432681134nres_b,SV70: refine432681134nres_b > $o] :
( ( ( SV70 @ ( sK43_SY601 @ SV133 @ SV178 @ SV70 ) )
= $true )
| ( ( SV178 @ ( order_1722590613nres_b @ SV70 ) )
= $true )
| ( ( ord_le527798542nres_b @ ( sK13_SY528 @ SV178 @ SV133 @ SV70 ) @ SV133 )
= $false )
| ( ( SV70 @ SV133 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1662]) ).
thf(1726,plain,
! [SV178: refine432681134nres_b > $o,SV133: refine432681134nres_b,SV70: refine432681134nres_b > $o] :
( ( ( ~ ! [SY653: refine432681134nres_b] :
( ~ ( SV70 @ SY653 )
| ( ord_le527798542nres_b @ SY653 @ ( sK43_SY601 @ SV133 @ SV178 @ SV70 ) ) ) )
= $false )
| ( ( SV178 @ ( order_1722590613nres_b @ SV70 ) )
= $true )
| ( ( ord_le527798542nres_b @ ( sK13_SY528 @ SV178 @ SV133 @ SV70 ) @ SV133 )
= $false )
| ( ( SV70 @ SV133 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1663]) ).
thf(1727,plain,
! [SV70: refine432681134nres_b > $o,SV133: refine432681134nres_b,SV178: refine432681134nres_b > $o] :
( ( ( SV178 @ ( sK43_SY601 @ SV133 @ SV178 @ SV70 ) )
= $false )
| ( ( SV178 @ ( order_1722590613nres_b @ SV70 ) )
= $true )
| ( ( ord_le527798542nres_b @ ( sK13_SY528 @ SV178 @ SV133 @ SV70 ) @ SV133 )
= $false )
| ( ( SV70 @ SV133 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1663]) ).
thf(1728,plain,
! [SV135: refine424419629nres_a > refine432681134nres_b,SV72: refine432681134nres_b,SV207: refine424419629nres_a,SV179: refine424419629nres_a] :
( ( ( ord_le519537037nres_a @ ( sK29_SY533 @ SV179 @ SV207 @ SV72 @ SV135 ) @ ( sK44_SY649 @ SV135 @ SV72 @ SV207 @ SV179 ) )
= $true )
| ( ( ord_le527798542nres_b @ SV72 @ ( SV135 @ SV207 ) )
= $true )
| ( ( ord_le519537037nres_a @ SV179 @ SV207 )
= $false )
| ( ( SV72
= ( SV135 @ SV179 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1664]) ).
thf(1729,plain,
! [SV180: refine432681134nres_b > refine424419629nres_a,SV74: refine432681134nres_b,SV208: refine424419629nres_a,SV137: refine432681134nres_b] :
( ( ( ord_le527798542nres_b @ ( sK30_SY607 @ SV137 @ SV208 @ SV74 @ SV180 ) @ ( sK45_SY650 @ SV180 @ SV74 @ SV208 @ SV137 ) )
= $true )
| ( ( ord_le519537037nres_a @ ( SV180 @ SV74 ) @ SV208 )
= $true )
| ( ( ord_le519537037nres_a @ ( SV180 @ SV137 ) @ SV208 )
= $false )
| ( ( ord_le527798542nres_b @ SV74 @ SV137 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1666]) ).
thf(1730,plain,
! [SV209: $o > refine432681134nres_b,SV139: $o > refine432681134nres_b] :
( ( ( ord_le527798542nres_b @ ( SV139 @ $false ) @ ( SV209 @ $false ) )
= $true )
| ( ( ord_le1656162903nres_b @ SV139 @ SV209 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1668]) ).
thf(1731,plain,
! [SV209: $o > refine432681134nres_b,SV139: $o > refine432681134nres_b] :
( ( ( ord_le527798542nres_b @ ( SV139 @ $true ) @ ( SV209 @ $true ) )
= $true )
| ( ( ord_le1656162903nres_b @ SV139 @ SV209 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1669]) ).
thf(1732,plain,
! [SV209: $o > refine432681134nres_b,SV139: $o > refine432681134nres_b] :
( ( ( ~ ( ord_le1656162903nres_b @ SV139 @ SV209 ) )
= $false )
| ( ( ord_le527798542nres_b @ ( SV139 @ $false ) @ ( SV209 @ $false ) )
= $false )
| ( ( ord_le527798542nres_b @ ( SV139 @ $true ) @ ( SV209 @ $true ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1670]) ).
thf(1733,plain,
! [SV209: $o > refine432681134nres_b,SV139: $o > refine432681134nres_b] :
( ( ( ~ ~ ( ~ ( ord_le527798542nres_b @ ( SV139 @ $false ) @ ( SV209 @ $false ) )
| ~ ( ord_le527798542nres_b @ ( SV139 @ $true ) @ ( SV209 @ $true ) ) ) )
= $false )
| ( ( ord_le527798542nres_b @ ( SV139 @ $false ) @ ( SV209 @ $false ) )
= $false )
| ( ( ord_le527798542nres_b @ ( SV139 @ $true ) @ ( SV209 @ $true ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1670]) ).
thf(1734,plain,
! [SV18: $o] :
( ( ( ~ SV18 ) = $false )
| ( SV18 = $false )
| ( SV18 = $false )
| ( SV18 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1671]) ).
thf(1735,plain,
! [SV18: $o] :
( ( ( ~ $false ) = $false )
| ( SV18 = $false )
| ( SV18 = $false )
| ( SV18 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1671]) ).
thf(1736,plain,
! [SV18: $o] :
( ( ( ~ SV18 ) = $false )
| ( $false = $false )
| ( SV18 = $false )
| ( SV18 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1672]) ).
thf(1737,plain,
! [SV18: $o] :
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( SV18 = $false )
| ( SV18 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1672]) ).
thf(1738,plain,
! [SV18: $o] :
( ( ( ~ SV18 ) = $false )
| ( SV18 = $false )
| ( SV18 = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1673]) ).
thf(1739,plain,
! [SV18: $o] :
( ( ( ~ $false ) = $false )
| ( SV18 = $false )
| ( SV18 = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1673]) ).
thf(1740,plain,
! [SV18: $o] :
( ( ( ~ SV18 ) = $false )
| ( $false = $false )
| ( SV18 = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1674]) ).
thf(1741,plain,
! [SV18: $o] :
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( SV18 = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1674]) ).
thf(1742,plain,
! [SV18: $o] :
( ( ( ~ SV18 ) = $false )
| ( SV18 = $false )
| ( $true = $false )
| ( SV18 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1675]) ).
thf(1743,plain,
! [SV18: $o] :
( ( ( ~ $false ) = $false )
| ( SV18 = $false )
| ( $true = $false )
| ( SV18 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1675]) ).
thf(1744,plain,
! [SV18: $o] :
( ( ( ~ SV18 ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( SV18 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1676]) ).
thf(1745,plain,
! [SV18: $o] :
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( SV18 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1676]) ).
thf(1746,plain,
! [SV18: $o] :
( ( ( ~ SV18 ) = $false )
| ( SV18 = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1677]) ).
thf(1747,plain,
! [SV18: $o] :
( ( ( ~ $false ) = $false )
| ( SV18 = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1677]) ).
thf(1748,plain,
! [SV18: $o] :
( ( ( ~ SV18 ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1678]) ).
thf(1749,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1678]) ).
thf(1750,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1679]) ).
thf(1751,plain,
( ( ( ~ $false ) = $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1679]) ).
thf(1752,plain,
( ( ( ~ $true ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1680]) ).
thf(1753,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1680]) ).
thf(1754,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1681]) ).
thf(1755,plain,
( ( ( ~ $false ) = $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1681]) ).
thf(1756,plain,
( ( ( ~ $true ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1682]) ).
thf(1757,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1682]) ).
thf(1758,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1683]) ).
thf(1759,plain,
( ( ( ~ $false ) = $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1683]) ).
thf(1760,plain,
( ( ( ~ $true ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1684]) ).
thf(1761,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1684]) ).
thf(1762,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1685]) ).
thf(1763,plain,
( ( ( ~ $false ) = $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1685]) ).
thf(1764,plain,
( ( ( ~ $true ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1686]) ).
thf(1765,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1686]) ).
thf(1766,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1687]) ).
thf(1767,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1687]) ).
thf(1768,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1688]) ).
thf(1769,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1688]) ).
thf(1770,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1689]) ).
thf(1771,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1689]) ).
thf(1772,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1690]) ).
thf(1773,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1690]) ).
thf(1774,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1691]) ).
thf(1775,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1691]) ).
thf(1776,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1692]) ).
thf(1777,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1692]) ).
thf(1778,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1693]) ).
thf(1779,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1693]) ).
thf(1780,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1694]) ).
thf(1781,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1694]) ).
thf(1782,plain,
! [SV196: refine432681134nres_b,SV111: refine432681134nres_b] :
( ( ( SV111 = SV196 )
= $true )
| ( ( ord_le527798542nres_b @ SV111 @ SV196 )
= $false )
| ( ( ord_le527798542nres_b @ SV196 @ SV111 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1704]) ).
thf(1783,plain,
! [SV196: refine432681134nres_b,SV111: refine432681134nres_b] :
( ( ( ~ ( ~ ( ord_le527798542nres_b @ SV111 @ SV196 )
| ~ ( ord_le527798542nres_b @ SV196 @ SV111 ) ) )
= $true )
| ( ( ord_le527798542nres_b @ SV111 @ SV196 )
= $false )
| ( ( ord_le527798542nres_b @ SV196 @ SV111 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1705]) ).
thf(1784,plain,
! [SV201: refine432681134nres_b,SV120: refine432681134nres_b] :
( ( ( SV120 = SV201 )
= $true )
| ( ( ord_le527798542nres_b @ SV120 @ SV201 )
= $false )
| ( ( ord_le527798542nres_b @ SV201 @ SV120 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1710]) ).
thf(1785,plain,
! [SV201: refine432681134nres_b,SV120: refine432681134nres_b] :
( ( ( ~ ( ~ ( ord_le527798542nres_b @ SV120 @ SV201 )
| ~ ( ord_le527798542nres_b @ SV201 @ SV120 ) ) )
= $true )
| ( ( ord_le527798542nres_b @ SV120 @ SV201 )
= $false )
| ( ( ord_le527798542nres_b @ SV201 @ SV120 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1711]) ).
thf(1786,plain,
! [SV215: set_a,SV123: refine424419629nres_a] :
( ( ( SV123
= ( refine1198353288_RES_a @ ( sK50_SY500 @ SV215 @ SV123 ) ) )
= $true )
| ( ( SV123
= ( refine1198353288_RES_a @ SV215 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1712]) ).
thf(1787,plain,
! [SV127: a > $o,SV218: a,SV62: a > $o] :
( ( ( SV62 @ SV218 )
= $false )
| ( ( SV127 @ SV218 )
= $true )
| ( ( SV62 @ ( sK11_SY514 @ SV127 @ SV62 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1715]) ).
thf(1788,plain,
! [SV205: refine432681134nres_b,SV131: refine432681134nres_b] :
( ( ( SV131 = SV205 )
= $true )
| ( ( ord_le527798542nres_b @ SV205 @ SV131 )
= $false )
| ( ( ord_le527798542nres_b @ SV131 @ SV205 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1720]) ).
thf(1789,plain,
! [SV131: refine432681134nres_b,SV205: refine432681134nres_b] :
( ( ( ~ ( ~ ( ord_le527798542nres_b @ SV205 @ SV131 )
| ~ ( ord_le527798542nres_b @ SV131 @ SV205 ) ) )
= $true )
| ( ( ord_le527798542nres_b @ SV205 @ SV131 )
= $false )
| ( ( ord_le527798542nres_b @ SV131 @ SV205 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1721]) ).
thf(1790,plain,
! [SV178: refine432681134nres_b > $o,SV133: refine432681134nres_b,SV70: refine432681134nres_b > $o] :
( ( ( SV70 @ ( sK49_SY601 @ SV133 @ SV178 @ SV70 ) )
= $true )
| ( ( SV178 @ ( order_1722590613nres_b @ SV70 ) )
= $true )
| ( ( SV70 @ ( sK13_SY528 @ SV178 @ SV133 @ SV70 ) )
= $true )
| ( ( SV70 @ SV133 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1723]) ).
thf(1791,plain,
! [SV178: refine432681134nres_b > $o,SV133: refine432681134nres_b,SV70: refine432681134nres_b > $o] :
( ( ( ~ ! [SY654: refine432681134nres_b] :
( ~ ( SV70 @ SY654 )
| ( ord_le527798542nres_b @ SY654 @ ( sK49_SY601 @ SV133 @ SV178 @ SV70 ) ) ) )
= $false )
| ( ( SV178 @ ( order_1722590613nres_b @ SV70 ) )
= $true )
| ( ( SV70 @ ( sK13_SY528 @ SV178 @ SV133 @ SV70 ) )
= $true )
| ( ( SV70 @ SV133 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1724]) ).
thf(1792,plain,
! [SV70: refine432681134nres_b > $o,SV133: refine432681134nres_b,SV178: refine432681134nres_b > $o] :
( ( ( SV178 @ ( sK49_SY601 @ SV133 @ SV178 @ SV70 ) )
= $false )
| ( ( SV178 @ ( order_1722590613nres_b @ SV70 ) )
= $true )
| ( ( SV70 @ ( sK13_SY528 @ SV178 @ SV133 @ SV70 ) )
= $true )
| ( ( SV70 @ SV133 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1724]) ).
thf(1793,plain,
! [SV178: refine432681134nres_b > $o,SV133: refine432681134nres_b,SV70: refine432681134nres_b > $o] :
( ( ( ! [SY653: refine432681134nres_b] :
( ~ ( SV70 @ SY653 )
| ( ord_le527798542nres_b @ SY653 @ ( sK43_SY601 @ SV133 @ SV178 @ SV70 ) ) ) )
= $true )
| ( ( SV178 @ ( order_1722590613nres_b @ SV70 ) )
= $true )
| ( ( ord_le527798542nres_b @ ( sK13_SY528 @ SV178 @ SV133 @ SV70 ) @ SV133 )
= $false )
| ( ( SV70 @ SV133 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1726]) ).
thf(1794,plain,
! [SV209: $o > refine432681134nres_b,SV139: $o > refine432681134nres_b] :
( ( ( ord_le1656162903nres_b @ SV139 @ SV209 )
= $true )
| ( ( ord_le527798542nres_b @ ( SV139 @ $false ) @ ( SV209 @ $false ) )
= $false )
| ( ( ord_le527798542nres_b @ ( SV139 @ $true ) @ ( SV209 @ $true ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1732]) ).
thf(1795,plain,
! [SV209: $o > refine432681134nres_b,SV139: $o > refine432681134nres_b] :
( ( ( ~ ( ~ ( ord_le527798542nres_b @ ( SV139 @ $false ) @ ( SV209 @ $false ) )
| ~ ( ord_le527798542nres_b @ ( SV139 @ $true ) @ ( SV209 @ $true ) ) ) )
= $true )
| ( ( ord_le527798542nres_b @ ( SV139 @ $false ) @ ( SV209 @ $false ) )
= $false )
| ( ( ord_le527798542nres_b @ ( SV139 @ $true ) @ ( SV209 @ $true ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1733]) ).
thf(1796,plain,
! [SV18: $o] :
( ( SV18 = $true )
| ( SV18 = $false )
| ( SV18 = $false )
| ( SV18 = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1734]) ).
thf(1797,plain,
! [SV18: $o] :
( ( $false = $true )
| ( SV18 = $false )
| ( SV18 = $false )
| ( SV18 = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1735]) ).
thf(1798,plain,
! [SV18: $o] :
( ( SV18 = $true )
| ( $false = $false )
| ( SV18 = $false )
| ( SV18 = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1736]) ).
thf(1799,plain,
! [SV18: $o] :
( ( $false = $true )
| ( $false = $false )
| ( SV18 = $false )
| ( SV18 = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1737]) ).
thf(1800,plain,
! [SV18: $o] :
( ( SV18 = $true )
| ( SV18 = $false )
| ( SV18 = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1738]) ).
thf(1801,plain,
! [SV18: $o] :
( ( $false = $true )
| ( SV18 = $false )
| ( SV18 = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1739]) ).
thf(1802,plain,
! [SV18: $o] :
( ( SV18 = $true )
| ( $false = $false )
| ( SV18 = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1740]) ).
thf(1803,plain,
! [SV18: $o] :
( ( $false = $true )
| ( $false = $false )
| ( SV18 = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1741]) ).
thf(1804,plain,
! [SV18: $o] :
( ( SV18 = $true )
| ( SV18 = $false )
| ( $true = $false )
| ( SV18 = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1742]) ).
thf(1805,plain,
! [SV18: $o] :
( ( $false = $true )
| ( SV18 = $false )
| ( $true = $false )
| ( SV18 = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1743]) ).
thf(1806,plain,
! [SV18: $o] :
( ( SV18 = $true )
| ( $false = $false )
| ( $true = $false )
| ( SV18 = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1744]) ).
thf(1807,plain,
! [SV18: $o] :
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( SV18 = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1745]) ).
thf(1808,plain,
! [SV18: $o] :
( ( SV18 = $true )
| ( SV18 = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1746]) ).
thf(1809,plain,
! [SV18: $o] :
( ( $false = $true )
| ( SV18 = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1747]) ).
thf(1810,plain,
! [SV18: $o] :
( ( SV18 = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1748]) ).
thf(1811,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1749]) ).
thf(1812,plain,
( ( $true = $true )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1750]) ).
thf(1813,plain,
( ( $false = $true )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1751]) ).
thf(1814,plain,
( ( $true = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1752]) ).
thf(1815,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1753]) ).
thf(1816,plain,
( ( $true = $true )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1754]) ).
thf(1817,plain,
( ( $false = $true )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1755]) ).
thf(1818,plain,
( ( $true = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1756]) ).
thf(1819,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1757]) ).
thf(1820,plain,
( ( $true = $true )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1758]) ).
thf(1821,plain,
( ( $false = $true )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1759]) ).
thf(1822,plain,
( ( $true = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1760]) ).
thf(1823,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1761]) ).
thf(1824,plain,
( ( $true = $true )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1762]) ).
thf(1825,plain,
( ( $false = $true )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1763]) ).
thf(1826,plain,
( ( $true = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1764]) ).
thf(1827,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1765]) ).
thf(1828,plain,
( ( $false = $true )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1766]) ).
thf(1829,plain,
( ( $false = $true )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1767]) ).
thf(1830,plain,
( ( $false = $true )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1768]) ).
thf(1831,plain,
( ( $false = $true )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1769]) ).
thf(1832,plain,
( ( $false = $true )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1770]) ).
thf(1833,plain,
( ( $false = $true )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1771]) ).
thf(1834,plain,
( ( $false = $true )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1772]) ).
thf(1835,plain,
( ( $false = $true )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1773]) ).
thf(1836,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1774]) ).
thf(1837,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1775]) ).
thf(1838,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1776]) ).
thf(1839,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1777]) ).
thf(1840,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1778]) ).
thf(1841,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1779]) ).
thf(1842,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1780]) ).
thf(1843,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1781]) ).
thf(1844,plain,
! [SV196: refine432681134nres_b,SV111: refine432681134nres_b] :
( ( ( ~ ( ord_le527798542nres_b @ SV111 @ SV196 )
| ~ ( ord_le527798542nres_b @ SV196 @ SV111 ) )
= $false )
| ( ( ord_le527798542nres_b @ SV111 @ SV196 )
= $false )
| ( ( ord_le527798542nres_b @ SV196 @ SV111 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1783]) ).
thf(1845,plain,
! [SV201: refine432681134nres_b,SV120: refine432681134nres_b] :
( ( ( ~ ( ord_le527798542nres_b @ SV120 @ SV201 )
| ~ ( ord_le527798542nres_b @ SV201 @ SV120 ) )
= $false )
| ( ( ord_le527798542nres_b @ SV120 @ SV201 )
= $false )
| ( ( ord_le527798542nres_b @ SV201 @ SV120 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1785]) ).
thf(1846,plain,
! [SV131: refine432681134nres_b,SV205: refine432681134nres_b] :
( ( ( ~ ( ord_le527798542nres_b @ SV205 @ SV131 )
| ~ ( ord_le527798542nres_b @ SV131 @ SV205 ) )
= $false )
| ( ( ord_le527798542nres_b @ SV205 @ SV131 )
= $false )
| ( ( ord_le527798542nres_b @ SV131 @ SV205 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1789]) ).
thf(1847,plain,
! [SV178: refine432681134nres_b > $o,SV133: refine432681134nres_b,SV70: refine432681134nres_b > $o] :
( ( ( ! [SY654: refine432681134nres_b] :
( ~ ( SV70 @ SY654 )
| ( ord_le527798542nres_b @ SY654 @ ( sK49_SY601 @ SV133 @ SV178 @ SV70 ) ) ) )
= $true )
| ( ( SV178 @ ( order_1722590613nres_b @ SV70 ) )
= $true )
| ( ( SV70 @ ( sK13_SY528 @ SV178 @ SV133 @ SV70 ) )
= $true )
| ( ( SV70 @ SV133 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1791]) ).
thf(1848,plain,
! [SV178: refine432681134nres_b > $o,SV133: refine432681134nres_b,SV219: refine432681134nres_b,SV70: refine432681134nres_b > $o] :
( ( ( ~ ( SV70 @ SV219 )
| ( ord_le527798542nres_b @ SV219 @ ( sK43_SY601 @ SV133 @ SV178 @ SV70 ) ) )
= $true )
| ( ( SV178 @ ( order_1722590613nres_b @ SV70 ) )
= $true )
| ( ( ord_le527798542nres_b @ ( sK13_SY528 @ SV178 @ SV133 @ SV70 ) @ SV133 )
= $false )
| ( ( SV70 @ SV133 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1793]) ).
thf(1849,plain,
! [SV209: $o > refine432681134nres_b,SV139: $o > refine432681134nres_b] :
( ( ( ~ ( ord_le527798542nres_b @ ( SV139 @ $false ) @ ( SV209 @ $false ) )
| ~ ( ord_le527798542nres_b @ ( SV139 @ $true ) @ ( SV209 @ $true ) ) )
= $false )
| ( ( ord_le527798542nres_b @ ( SV139 @ $false ) @ ( SV209 @ $false ) )
= $false )
| ( ( ord_le527798542nres_b @ ( SV139 @ $true ) @ ( SV209 @ $true ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1795]) ).
thf(1850,plain,
! [SV196: refine432681134nres_b,SV111: refine432681134nres_b] :
( ( ( ~ ( ord_le527798542nres_b @ SV111 @ SV196 ) )
= $false )
| ( ( ord_le527798542nres_b @ SV111 @ SV196 )
= $false )
| ( ( ord_le527798542nres_b @ SV196 @ SV111 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1844]) ).
thf(1851,plain,
! [SV111: refine432681134nres_b,SV196: refine432681134nres_b] :
( ( ( ~ ( ord_le527798542nres_b @ SV196 @ SV111 ) )
= $false )
| ( ( ord_le527798542nres_b @ SV111 @ SV196 )
= $false )
| ( ( ord_le527798542nres_b @ SV196 @ SV111 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1844]) ).
thf(1852,plain,
! [SV201: refine432681134nres_b,SV120: refine432681134nres_b] :
( ( ( ~ ( ord_le527798542nres_b @ SV120 @ SV201 ) )
= $false )
| ( ( ord_le527798542nres_b @ SV120 @ SV201 )
= $false )
| ( ( ord_le527798542nres_b @ SV201 @ SV120 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1845]) ).
thf(1853,plain,
! [SV120: refine432681134nres_b,SV201: refine432681134nres_b] :
( ( ( ~ ( ord_le527798542nres_b @ SV201 @ SV120 ) )
= $false )
| ( ( ord_le527798542nres_b @ SV120 @ SV201 )
= $false )
| ( ( ord_le527798542nres_b @ SV201 @ SV120 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1845]) ).
thf(1854,plain,
! [SV131: refine432681134nres_b,SV205: refine432681134nres_b] :
( ( ( ~ ( ord_le527798542nres_b @ SV205 @ SV131 ) )
= $false )
| ( ( ord_le527798542nres_b @ SV205 @ SV131 )
= $false )
| ( ( ord_le527798542nres_b @ SV131 @ SV205 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1846]) ).
thf(1855,plain,
! [SV205: refine432681134nres_b,SV131: refine432681134nres_b] :
( ( ( ~ ( ord_le527798542nres_b @ SV131 @ SV205 ) )
= $false )
| ( ( ord_le527798542nres_b @ SV205 @ SV131 )
= $false )
| ( ( ord_le527798542nres_b @ SV131 @ SV205 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1846]) ).
thf(1856,plain,
! [SV178: refine432681134nres_b > $o,SV133: refine432681134nres_b,SV220: refine432681134nres_b,SV70: refine432681134nres_b > $o] :
( ( ( ~ ( SV70 @ SV220 )
| ( ord_le527798542nres_b @ SV220 @ ( sK49_SY601 @ SV133 @ SV178 @ SV70 ) ) )
= $true )
| ( ( SV178 @ ( order_1722590613nres_b @ SV70 ) )
= $true )
| ( ( SV70 @ ( sK13_SY528 @ SV178 @ SV133 @ SV70 ) )
= $true )
| ( ( SV70 @ SV133 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1847]) ).
thf(1857,plain,
! [SV178: refine432681134nres_b > $o,SV133: refine432681134nres_b,SV219: refine432681134nres_b,SV70: refine432681134nres_b > $o] :
( ( ( ~ ( SV70 @ SV219 ) )
= $true )
| ( ( ord_le527798542nres_b @ SV219 @ ( sK43_SY601 @ SV133 @ SV178 @ SV70 ) )
= $true )
| ( ( SV178 @ ( order_1722590613nres_b @ SV70 ) )
= $true )
| ( ( ord_le527798542nres_b @ ( sK13_SY528 @ SV178 @ SV133 @ SV70 ) @ SV133 )
= $false )
| ( ( SV70 @ SV133 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1848]) ).
thf(1858,plain,
! [SV209: $o > refine432681134nres_b,SV139: $o > refine432681134nres_b] :
( ( ( ~ ( ord_le527798542nres_b @ ( SV139 @ $false ) @ ( SV209 @ $false ) ) )
= $false )
| ( ( ord_le527798542nres_b @ ( SV139 @ $false ) @ ( SV209 @ $false ) )
= $false )
| ( ( ord_le527798542nres_b @ ( SV139 @ $true ) @ ( SV209 @ $true ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1849]) ).
thf(1859,plain,
! [SV209: $o > refine432681134nres_b,SV139: $o > refine432681134nres_b] :
( ( ( ~ ( ord_le527798542nres_b @ ( SV139 @ $true ) @ ( SV209 @ $true ) ) )
= $false )
| ( ( ord_le527798542nres_b @ ( SV139 @ $false ) @ ( SV209 @ $false ) )
= $false )
| ( ( ord_le527798542nres_b @ ( SV139 @ $true ) @ ( SV209 @ $true ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1849]) ).
thf(1860,plain,
! [SV196: refine432681134nres_b,SV111: refine432681134nres_b] :
( ( ( ord_le527798542nres_b @ SV111 @ SV196 )
= $true )
| ( ( ord_le527798542nres_b @ SV111 @ SV196 )
= $false )
| ( ( ord_le527798542nres_b @ SV196 @ SV111 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1850]) ).
thf(1861,plain,
! [SV111: refine432681134nres_b,SV196: refine432681134nres_b] :
( ( ( ord_le527798542nres_b @ SV196 @ SV111 )
= $true )
| ( ( ord_le527798542nres_b @ SV111 @ SV196 )
= $false )
| ( ( ord_le527798542nres_b @ SV196 @ SV111 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1851]) ).
thf(1862,plain,
! [SV201: refine432681134nres_b,SV120: refine432681134nres_b] :
( ( ( ord_le527798542nres_b @ SV120 @ SV201 )
= $true )
| ( ( ord_le527798542nres_b @ SV120 @ SV201 )
= $false )
| ( ( ord_le527798542nres_b @ SV201 @ SV120 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1852]) ).
thf(1863,plain,
! [SV120: refine432681134nres_b,SV201: refine432681134nres_b] :
( ( ( ord_le527798542nres_b @ SV201 @ SV120 )
= $true )
| ( ( ord_le527798542nres_b @ SV120 @ SV201 )
= $false )
| ( ( ord_le527798542nres_b @ SV201 @ SV120 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1853]) ).
thf(1864,plain,
! [SV131: refine432681134nres_b,SV205: refine432681134nres_b] :
( ( ( ord_le527798542nres_b @ SV205 @ SV131 )
= $true )
| ( ( ord_le527798542nres_b @ SV205 @ SV131 )
= $false )
| ( ( ord_le527798542nres_b @ SV131 @ SV205 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1854]) ).
thf(1865,plain,
! [SV205: refine432681134nres_b,SV131: refine432681134nres_b] :
( ( ( ord_le527798542nres_b @ SV131 @ SV205 )
= $true )
| ( ( ord_le527798542nres_b @ SV205 @ SV131 )
= $false )
| ( ( ord_le527798542nres_b @ SV131 @ SV205 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1855]) ).
thf(1866,plain,
! [SV178: refine432681134nres_b > $o,SV133: refine432681134nres_b,SV220: refine432681134nres_b,SV70: refine432681134nres_b > $o] :
( ( ( ~ ( SV70 @ SV220 ) )
= $true )
| ( ( ord_le527798542nres_b @ SV220 @ ( sK49_SY601 @ SV133 @ SV178 @ SV70 ) )
= $true )
| ( ( SV178 @ ( order_1722590613nres_b @ SV70 ) )
= $true )
| ( ( SV70 @ ( sK13_SY528 @ SV178 @ SV133 @ SV70 ) )
= $true )
| ( ( SV70 @ SV133 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1856]) ).
thf(1867,plain,
! [SV178: refine432681134nres_b > $o,SV133: refine432681134nres_b,SV219: refine432681134nres_b,SV70: refine432681134nres_b > $o] :
( ( ( SV70 @ SV219 )
= $false )
| ( ( ord_le527798542nres_b @ SV219 @ ( sK43_SY601 @ SV133 @ SV178 @ SV70 ) )
= $true )
| ( ( SV178 @ ( order_1722590613nres_b @ SV70 ) )
= $true )
| ( ( ord_le527798542nres_b @ ( sK13_SY528 @ SV178 @ SV133 @ SV70 ) @ SV133 )
= $false )
| ( ( SV70 @ SV133 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1857]) ).
thf(1868,plain,
! [SV209: $o > refine432681134nres_b,SV139: $o > refine432681134nres_b] :
( ( ( ord_le527798542nres_b @ ( SV139 @ $false ) @ ( SV209 @ $false ) )
= $true )
| ( ( ord_le527798542nres_b @ ( SV139 @ $false ) @ ( SV209 @ $false ) )
= $false )
| ( ( ord_le527798542nres_b @ ( SV139 @ $true ) @ ( SV209 @ $true ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1858]) ).
thf(1869,plain,
! [SV209: $o > refine432681134nres_b,SV139: $o > refine432681134nres_b] :
( ( ( ord_le527798542nres_b @ ( SV139 @ $true ) @ ( SV209 @ $true ) )
= $true )
| ( ( ord_le527798542nres_b @ ( SV139 @ $false ) @ ( SV209 @ $false ) )
= $false )
| ( ( ord_le527798542nres_b @ ( SV139 @ $true ) @ ( SV209 @ $true ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1859]) ).
thf(1870,plain,
! [SV178: refine432681134nres_b > $o,SV133: refine432681134nres_b,SV220: refine432681134nres_b,SV70: refine432681134nres_b > $o] :
( ( ( SV70 @ SV220 )
= $false )
| ( ( ord_le527798542nres_b @ SV220 @ ( sK49_SY601 @ SV133 @ SV178 @ SV70 ) )
= $true )
| ( ( SV178 @ ( order_1722590613nres_b @ SV70 ) )
= $true )
| ( ( SV70 @ ( sK13_SY528 @ SV178 @ SV133 @ SV70 ) )
= $true )
| ( ( SV70 @ SV133 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1866]) ).
thf(1871,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[441,1870,1869,1868,1867,1865,1864,1863,1862,1861,1860,1843,1842,1841,1840,1839,1838,1837,1836,1835,1834,1833,1832,1831,1830,1829,1828,1827,1826,1825,1824,1823,1822,1821,1820,1819,1818,1817,1816,1815,1814,1813,1812,1811,1810,1809,1808,1807,1806,1805,1804,1803,1802,1801,1800,1799,1798,1797,1796,1794,1792,1790,1788,1787,1786,1784,1782,1731,1730,1729,1728,1727,1725,1722,1719,1718,1717,1716,1714,1713,1709,1708,1707,1706,1703,1702,1701,1700,1699,1698,1697,1696,1695,1667,1665,1660,1655,1651,1650,1648,1642,1640,1635,1633,1631,1630,1629,1628,1627,1625,1623,1622,1620,1618,1580,1579,1574,1573,1563,1561,1559,1553,1550,1547,1531,1523,1520,1508,1503,1498,1495,1492,1488,1486,1483,1480,1477,1476,1475,1474,1429,1426,1423,1418,1415,1404,1403,1402,1401,1400,1398,1396,1394,1392,1391,1390,1389,1388,1386,1384,1382,1380,1379,1378,1377,1376,1374,1372,1370,1355,1349,1346,1345,1344,1337,1325,1323,1315,1288,1287,1286,1285,1284,1283,1282,1281,1280,1279,1278,1277,1276,1275,1274,1273,1272,1271,1270,1269,1244,1239,1221,1214,1192,1191,1190,1189,1188,1187,1186,1185,1158,1156,1148,1147,1145,1138,1137,1136,1123,1115,1114,1112,1075,1073,1071,1057,1046,1044,1028,1022,991,985,981,978,977,976,966,953,936,935,934,924,873,852,844,841,838,828,819,811,810,805,801,790,750,748,746,744,742,721,691,675,673,671,665,656,645,640,629,598,594,592,590,587,586,585,583,581,580,442]) ).
thf(1872,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[1871]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP161^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.21 % Computer : n002.cluster.edu
% 0.09/0.21 % Model : x86_64 x86_64
% 0.09/0.21 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.21 % Memory : 8046.5625MB
% 0.09/0.21 % OS : Linux 6.8.0-71-generic
% 0.09/0.21 % CPULimit : 300
% 0.09/0.21 % WCLimit : 300
% 0.09/0.21 % DateTime : Tue Oct 6 11:21:42 UTC 2026
% 0.09/0.21 % CPUTime :
% 0.09/0.21 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 27.60/5.04 ...
% 27.60/5.04
% 27.60/5.04 No.of.Axioms: 78
% 27.60/5.04
% 27.60/5.04 Length.of.Defs: 0
% 27.60/5.04
% 27.60/5.04 Contains.Choice.Funs: true
% 27.60/5.04 ........................................
% 27.60/5.04
% 27.60/5.04 ********************************
% 27.60/5.04 * All subproblems solved! *
% 27.60/5.04 ********************************
% 27.60/5.04 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:78,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:1871,loop_count:0,foatp_calls:1,translation:fof_full)
% 27.60/5.04
% 27.60/5.04 %**** Beginning of derivation protocol ****
% 27.60/5.04 % SZS output start CNFRefutation
% See solution above
% 5.45/5.07
% 5.45/5.07 %**** End of derivation protocol ****
% 5.45/5.07 %**** no. of clauses in derivation: 1592 ****
% 5.45/5.07 %**** clause counter: 1871 ****
% 5.45/5.07
% 5.45/5.07 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:78,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:1871,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------