%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : ITP159^1 : 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 : n026.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 10:24:25 AM UTC 2026
% Result : Theorem 17.99s 3.26s
% Output : CNFRefutation 17.99s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 78
% Syntax : Number of formulae : 1525 ( 508 unt; 0 typ; 0 def)
% Number of atoms : 12048 (4407 equ; 0 cnn)
% Maximal formula atoms : 5 ( 7 avg)
% Number of connectives : 15101 (2537 ~;3244 |; 12 &;8978 @)
% ( 0 <=>; 330 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Number of types : 21 ( 20 usr)
% Number of type conns : 546 ( 546 >; 0 *; 0 +; 0 <<)
% Number of symbols : 105 ( 102 usr; 12 con; 0-4 aty)
% Number of variables : 3761 ( 111 ^;3650 !; 0 ?;3761 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_a,type,
a: $tType ).
thf(tp_b,type,
b: $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_b,type,
product_prod_b_b: $tType ).
thf(tp_product_unit,type,
product_unit: $tType ).
thf(tp_refine424419629nres_a,type,
refine424419629nres_a: $tType ).
thf(tp_refine432681134nres_b,type,
refine432681134nres_b: $tType ).
thf(tp_refine787176636t_unit,type,
refine787176636t_unit: $tType ).
thf(tp_set_Pr1628433942t_unit,type,
set_Pr1628433942t_unit: $tType ).
thf(tp_set_Pr1707992533t_unit,type,
set_Pr1707992533t_unit: $tType ).
thf(tp_set_Pr1720557880unit_a,type,
set_Pr1720557880unit_a: $tType ).
thf(tp_set_Pr451126599t_unit,type,
set_Pr451126599t_unit: $tType ).
thf(tp_set_Pr712638521unit_b,type,
set_Pr712638521unit_b: $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_a,type,
set_a: $tType ).
thf(tp_set_b,type,
set_b: $tType ).
thf(tp_collect_a,type,
collect_a: ( a > $o ) > set_a ).
thf(tp_collect_b,type,
collect_b: ( b > $o ) > set_b ).
thf(tp_id_a,type,
id_a: set_Product_prod_a_a ).
thf(tp_id_b,type,
id_b: set_Product_prod_b_b ).
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_set1550076877od_a_a,type,
if_set1550076877od_a_a: $o > set_Product_prod_a_a > set_Product_prod_a_a > set_Product_prod_a_a ).
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_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_a,type,
member_a: a > set_a > $o ).
thf(tp_member_b,type,
member_b: b > set_b > $o ).
thf(tp_ord_le1036320359od_b_b,type,
ord_le1036320359od_b_b: set_Product_prod_b_b > set_Product_prod_b_b > $o ).
thf(tp_ord_le1051254044t_unit,type,
ord_le1051254044t_unit: refine787176636t_unit > refine787176636t_unit > $o ).
thf(tp_ord_le1656162903nres_b,type,
ord_le1656162903nres_b: ( $o > refine432681134nres_b ) > ( $o > refine432681134nres_b ) > $o ).
thf(tp_ord_le1824328871od_a_a,type,
ord_le1824328871od_a_a: set_Product_prod_a_a > set_Product_prod_a_a > $o ).
thf(tp_ord_le2044239718od_b_a,type,
ord_le2044239718od_b_a: set_Product_prod_b_a > set_Product_prod_b_a > $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_le816409512od_a_b,type,
ord_le816409512od_a_b: set_Product_prod_a_b > set_Product_prod_a_b > $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_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_b,type,
product_Pair_b_b: b > b > product_prod_b_b ).
thf(tp_r,type,
r: set_Product_prod_a_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_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_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_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_refine2043866374unit_a,type,
refine2043866374unit_a: set_Pr1720557880unit_a > refine424419629nres_a > refine787176636t_unit ).
thf(tp_refine2043866375unit_b,type,
refine2043866375unit_b: set_Pr712638521unit_b > refine432681134nres_b > 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_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_refine944483349t_unit,type,
refine944483349t_unit: set_Pr451126599t_unit > refine787176636t_unit > refine787176636t_unit ).
thf(tp_sK10_SY410,type,
sK10_SY410: refine432681134nres_b > refine432681134nres_b > refine424419629nres_a > ( refine432681134nres_b > refine424419629nres_a ) > refine432681134nres_b ).
thf(tp_sK11_SY488,type,
sK11_SY488: refine432681134nres_b > refine424419629nres_a > refine432681134nres_b > ( refine432681134nres_b > refine424419629nres_a ) > refine432681134nres_b ).
thf(tp_sK12_SY419,type,
sK12_SY419: refine424419629nres_a > refine424419629nres_a > refine432681134nres_b > ( refine424419629nres_a > refine432681134nres_b ) > refine424419629nres_a ).
thf(tp_sK13_SY425,type,
sK13_SY425: refine432681134nres_b > refine432681134nres_b > refine424419629nres_a > ( refine432681134nres_b > refine424419629nres_a ) > refine432681134nres_b ).
thf(tp_sK14_SY434,type,
sK14_SY434: refine424419629nres_a > refine424419629nres_a > refine424419629nres_a > ( refine424419629nres_a > refine424419629nres_a ) > refine424419629nres_a ).
thf(tp_sK15_SY503,type,
sK15_SY503: refine432681134nres_b > refine424419629nres_a > refine432681134nres_b > ( refine432681134nres_b > refine424419629nres_a ) > refine432681134nres_b ).
thf(tp_sK16_SY446,type,
sK16_SY446: refine424419629nres_a > refine424419629nres_a > refine432681134nres_b > ( refine424419629nres_a > refine432681134nres_b ) > refine424419629nres_a ).
thf(tp_sK17_SY509,type,
sK17_SY509: refine424419629nres_a > refine424419629nres_a > refine424419629nres_a > ( refine424419629nres_a > refine424419629nres_a ) > refine424419629nres_a ).
thf(tp_sK18_SY542,type,
sK18_SY542: ( refine424419629nres_a > refine424419629nres_a ) > refine424419629nres_a > refine424419629nres_a > refine424419629nres_a > refine424419629nres_a ).
thf(tp_sK19_SY463,type,
sK19_SY463: refine424419629nres_a > ( refine424419629nres_a > $o ) > ( refine424419629nres_a > $o ) > refine424419629nres_a ).
thf(tp_sK1_SY359,type,
sK1_SY359: ( $o > refine424419629nres_a ) > ( $o > refine424419629nres_a ) > $o ).
thf(tp_sK20_SY543,type,
sK20_SY543: ( refine424419629nres_a > refine432681134nres_b ) > refine424419629nres_a > refine432681134nres_b > refine424419629nres_a > refine424419629nres_a ).
thf(tp_sK21_SY544,type,
sK21_SY544: ( refine424419629nres_a > refine432681134nres_b ) > refine424419629nres_a > refine432681134nres_b > refine424419629nres_a > refine424419629nres_a ).
thf(tp_sK22_SY545,type,
sK22_SY545: ( refine424419629nres_a > refine424419629nres_a ) > refine424419629nres_a > refine424419629nres_a > refine424419629nres_a > refine424419629nres_a ).
thf(tp_sK23_SY546,type,
sK23_SY546: ( refine432681134nres_b > refine424419629nres_a ) > refine424419629nres_a > refine432681134nres_b > refine432681134nres_b > refine432681134nres_b ).
thf(tp_sK24_SY547,type,
sK24_SY547: ( refine432681134nres_b > refine424419629nres_a ) > refine432681134nres_b > refine424419629nres_a > refine432681134nres_b > refine432681134nres_b ).
thf(tp_sK25_SY548,type,
sK25_SY548: ( refine424419629nres_a > refine432681134nres_b ) > refine432681134nres_b > refine424419629nres_a > refine424419629nres_a > refine424419629nres_a ).
thf(tp_sK26_SY549,type,
sK26_SY549: ( refine432681134nres_b > refine424419629nres_a ) > refine424419629nres_a > refine432681134nres_b > refine432681134nres_b > refine432681134nres_b ).
thf(tp_sK27_SY550,type,
sK27_SY550: ( refine424419629nres_a > refine424419629nres_a ) > refine424419629nres_a > refine424419629nres_a > refine424419629nres_a > refine424419629nres_a ).
thf(tp_sK28_SY551,type,
sK28_SY551: ( refine432681134nres_b > refine424419629nres_a ) > refine432681134nres_b > refine424419629nres_a > refine432681134nres_b > refine432681134nres_b ).
thf(tp_sK29_SY552,type,
sK29_SY552: ( refine424419629nres_a > refine432681134nres_b ) > refine432681134nres_b > refine424419629nres_a > refine424419629nres_a > refine424419629nres_a ).
thf(tp_sK2_SY254,type,
sK2_SY254: refine432681134nres_b > set_b ).
thf(tp_sK30_SY553,type,
sK30_SY553: ( refine424419629nres_a > refine424419629nres_a ) > refine424419629nres_a > refine424419629nres_a > refine424419629nres_a > refine424419629nres_a ).
thf(tp_sK31_SY463,type,
sK31_SY463: refine424419629nres_a > ( refine424419629nres_a > $o ) > ( refine424419629nres_a > $o ) > refine424419629nres_a ).
thf(tp_sK3_SY422,type,
sK3_SY422: refine424419629nres_a > ( refine424419629nres_a > $o ) > refine424419629nres_a ).
thf(tp_sK4_SY372,type,
sK4_SY372: ( refine424419629nres_a > $o ) > refine424419629nres_a > ( refine424419629nres_a > $o ) > refine424419629nres_a ).
thf(tp_sK5_SY511,type,
sK5_SY511: ( $o > refine424419629nres_a ) > ( $o > refine424419629nres_a ) > $o ).
thf(tp_sK6_SY458,type,
sK6_SY458: refine424419629nres_a > refine424419629nres_a > refine424419629nres_a > ( refine424419629nres_a > refine424419629nres_a ) > refine424419629nres_a ).
thf(tp_sK7_SY467,type,
sK7_SY467: refine424419629nres_a > refine432681134nres_b > refine424419629nres_a > ( refine424419629nres_a > refine432681134nres_b ) > refine424419629nres_a ).
thf(tp_sK8_SY470,type,
sK8_SY470: refine424419629nres_a > refine432681134nres_b > refine424419629nres_a > ( refine424419629nres_a > refine432681134nres_b ) > refine424419629nres_a ).
thf(tp_sK9_SY406,type,
sK9_SY406: refine424419629nres_a > refine424419629nres_a > refine424419629nres_a > ( refine424419629nres_a > refine424419629nres_a ) > refine424419629nres_a ).
thf(tp_sup_su2034729561nres_a,type,
sup_su2034729561nres_a: refine424419629nres_a > refine424419629nres_a > refine424419629nres_a ).
thf(tp_sup_su2042991066nres_b,type,
sup_su2042991066nres_b: refine432681134nres_b > refine432681134nres_b > refine432681134nres_b ).
thf(tp_top_to1038983175nres_b,type,
top_to1038983175nres_b: $o > refine432681134nres_b ).
thf(tp_top_to177290092t_unit,type,
top_to177290092t_unit: refine787176636t_unit ).
thf(tp_top_to2046902534nres_a,type,
top_to2046902534nres_a: $o > refine424419629nres_a ).
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_to398455383od_a_a,type,
top_to398455383od_a_a: set_Product_prod_a_a ).
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: refine424419629nres_a ).
thf(3,axiom,
! [P: $o] :
( ( P = $true )
| ( P = $false ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_If_3_1_If_001_062_I_Eo_Mt__Refine____Basic____Mirabelle____kwjuvthmas__Onres_Itf__b_J_J_T) ).
thf(17,axiom,
! [X: refine432681134nres_b] :
( ( sup_su2042991066nres_b @ top_to240090974nres_b @ X )
= top_to240090974nres_b ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_345_sup__top__left) ).
thf(27,axiom,
! [F: b > refine432681134nres_b] :
( ( refine1264602246nd_b_b @ top_to240090974nres_b @ F )
= top_to240090974nres_b ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_335_bind__FAIL) ).
thf(37,axiom,
! [S: refine424419629nres_a,S4: refine424419629nres_a,X: a] :
( ( ord_le519537037nres_a @ S @ S4 )
=> ( ( refine1001002027nres_a @ S @ X )
=> ( refine1001002027nres_a @ S4 @ X ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_325_pwD2) ).
thf(39,axiom,
( ( refine1001002028nres_b @ top_to240090974nres_b )
= ( ^ [Uu: b] : $true ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_323_inres__simps_I1_J) ).
thf(47,axiom,
! [M3: refine424419629nres_a,M: refine424419629nres_a] :
( ( ( refine412683989fail_a @ M3 )
=> ( ord_le519537037nres_a @ M @ M3 ) )
=> ( ord_le519537037nres_a @ M @ M3 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_315_le__nofailI) ).
thf(49,axiom,
! [S: refine424419629nres_a,S4: refine424419629nres_a] :
( ( ord_le519537037nres_a @ S @ S4 )
=> ( ( refine412683989fail_a @ S4 )
=> ( refine412683989fail_a @ S ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_313_pwD1) ).
thf(51,axiom,
! [S: refine432681134nres_b] :
( ( ~ ( refine412683990fail_b @ S ) )
= ( S = top_to240090974nres_b ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_311_not__nofail__iff) ).
thf(53,axiom,
( refine412683990fail_b
= ( ^ [S3: refine432681134nres_b] : ( S3 != top_to240090974nres_b ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_309_nofail__def) ).
thf(55,axiom,
! [S: refine432681134nres_b] :
( ( top_to240090974nres_b != S )
= ( refine412683990fail_b @ S ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_307_intro__nofail_I2_J) ).
thf(60,axiom,
~ ( refine412683990fail_b @ top_to240090974nres_b ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_302_nofail__simps_I1_J) ).
thf(69,axiom,
! [X: b] :
( top_to240090974nres_b
!= ( refine2063221605TURN_b @ X ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_293_nres__inequalities_I3_J) ).
thf(71,axiom,
! [X: a,Y2: a] :
( ( ord_le519537037nres_a @ ( refine2063221604TURN_a @ X ) @ ( refine2063221604TURN_a @ Y2 ) )
= ( X = Y2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_291_nres__order__simps_I20_J) ).
thf(81,axiom,
! [A: refine424419629nres_a,B: refine424419629nres_a,R: set_Product_prod_a_a,C: refine424419629nres_a] :
( ( ord_le519537037nres_a @ A @ B )
=> ( ( ord_le519537037nres_a @ ( refine1136779702un_a_a @ R @ B ) @ C )
=> ( ord_le519537037nres_a @ ( refine1136779702un_a_a @ R @ A ) @ C ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_281_abs__trans__additional_I1_J) ).
thf(83,axiom,
! [M: refine432681134nres_b] :
( ( M != top_to240090974nres_b )
=> ~ ! [X6: set_b] :
( M
!= ( refine1198353289_RES_b @ X6 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_279_nres__cases) ).
thf(85,axiom,
! [X5: set_b] :
( top_to240090974nres_b
!= ( refine1198353289_RES_b @ X5 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_277_nres__inequalities_I1_J) ).
thf(99,axiom,
! [R: set_Product_prod_b_b] :
( ( refine1964549110un_b_b @ R @ top_to240090974nres_b )
= top_to240090974nres_b ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_263_abs__fun__simps_I1_J) ).
thf(128,axiom,
! [A2: refine424419629nres_a,B2: refine424419629nres_a,C2: refine424419629nres_a,D: refine424419629nres_a] :
( ( A2 = B2 )
=> ( ( ord_le519537037nres_a @ B2 @ C2 )
=> ( ( C2 = D )
=> ( ord_le519537037nres_a @ A2 @ D ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_234_ord__eq__le__eq__trans) ).
thf(130,axiom,
( ord_le516598614nres_a
= ( ^ [X4: $o > refine424419629nres_a,Y6: $o > refine424419629nres_a] :
( ( ord_le519537037nres_a @ ( X4 @ $false ) @ ( Y6 @ $false ) )
& ( ord_le519537037nres_a @ ( X4 @ $true ) @ ( Y6 @ $true ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_232_le__rel__bool__arg__iff) ).
thf(132,axiom,
! [P: refine424419629nres_a > $o,X: refine424419629nres_a,Q: refine424419629nres_a > $o] :
( ( P @ X )
=> ( ! [Y4: refine424419629nres_a] :
( ( P @ Y4 )
=> ( ord_le519537037nres_a @ Y4 @ X ) )
=> ( ! [X2: refine424419629nres_a] :
( ( P @ X2 )
=> ( ! [Y5: refine424419629nres_a] :
( ( P @ Y5 )
=> ( ord_le519537037nres_a @ Y5 @ X2 ) )
=> ( Q @ X2 ) ) )
=> ( Q @ ( order_1714329108nres_a @ P ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_230_GreatestI2__order) ).
thf(134,axiom,
! [P: refine424419629nres_a > $o,X: refine424419629nres_a] :
( ( P @ X )
=> ( ! [Y4: refine424419629nres_a] :
( ( P @ Y4 )
=> ( ord_le519537037nres_a @ Y4 @ X ) )
=> ( ( order_1714329108nres_a @ P )
= X ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_228_Greatest__equality) ).
thf(136,axiom,
! [A2: refine432681134nres_b,F: refine424419629nres_a > refine432681134nres_b,B2: refine424419629nres_a,C2: refine424419629nres_a] :
( ( ord_le527798542nres_b @ A2 @ ( F @ B2 ) )
=> ( ( ord_le519537037nres_a @ B2 @ C2 )
=> ( ! [X2: refine424419629nres_a,Y4: refine424419629nres_a] :
( ( ord_le519537037nres_a @ X2 @ Y4 )
=> ( ord_le527798542nres_b @ ( F @ X2 ) @ ( F @ Y4 ) ) )
=> ( ord_le527798542nres_b @ A2 @ ( F @ C2 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_226_order__subst1) ).
thf(137,axiom,
! [A2: refine424419629nres_a,F: refine432681134nres_b > refine424419629nres_a,B2: refine432681134nres_b,C2: refine432681134nres_b] :
( ( ord_le519537037nres_a @ A2 @ ( F @ B2 ) )
=> ( ( ord_le527798542nres_b @ B2 @ C2 )
=> ( ! [X2: refine432681134nres_b,Y4: refine432681134nres_b] :
( ( ord_le527798542nres_b @ X2 @ Y4 )
=> ( ord_le519537037nres_a @ ( F @ X2 ) @ ( F @ Y4 ) ) )
=> ( ord_le519537037nres_a @ A2 @ ( F @ C2 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_225_order__subst1) ).
thf(138,axiom,
! [A2: refine424419629nres_a,F: refine424419629nres_a > refine424419629nres_a,B2: refine424419629nres_a,C2: refine424419629nres_a] :
( ( ord_le519537037nres_a @ A2 @ ( F @ B2 ) )
=> ( ( ord_le519537037nres_a @ B2 @ C2 )
=> ( ! [X2: refine424419629nres_a,Y4: refine424419629nres_a] :
( ( ord_le519537037nres_a @ X2 @ Y4 )
=> ( ord_le519537037nres_a @ ( F @ X2 ) @ ( F @ Y4 ) ) )
=> ( ord_le519537037nres_a @ A2 @ ( F @ C2 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_224_order__subst1) ).
thf(140,axiom,
! [A2: refine432681134nres_b,B2: refine432681134nres_b,F: refine432681134nres_b > refine424419629nres_a,C2: refine424419629nres_a] :
( ( ord_le527798542nres_b @ A2 @ B2 )
=> ( ( ord_le519537037nres_a @ ( F @ B2 ) @ C2 )
=> ( ! [X2: refine432681134nres_b,Y4: refine432681134nres_b] :
( ( ord_le527798542nres_b @ X2 @ Y4 )
=> ( ord_le519537037nres_a @ ( F @ X2 ) @ ( F @ Y4 ) ) )
=> ( ord_le519537037nres_a @ ( F @ A2 ) @ C2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_222_order__subst2) ).
thf(141,axiom,
! [A2: refine424419629nres_a,B2: refine424419629nres_a,F: refine424419629nres_a > refine432681134nres_b,C2: refine432681134nres_b] :
( ( ord_le519537037nres_a @ A2 @ B2 )
=> ( ( ord_le527798542nres_b @ ( F @ B2 ) @ C2 )
=> ( ! [X2: refine424419629nres_a,Y4: refine424419629nres_a] :
( ( ord_le519537037nres_a @ X2 @ Y4 )
=> ( ord_le527798542nres_b @ ( F @ X2 ) @ ( F @ Y4 ) ) )
=> ( ord_le527798542nres_b @ ( F @ A2 ) @ C2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_221_order__subst2) ).
thf(142,axiom,
! [A2: refine424419629nres_a,B2: refine424419629nres_a,F: refine424419629nres_a > refine424419629nres_a,C2: refine424419629nres_a] :
( ( ord_le519537037nres_a @ A2 @ B2 )
=> ( ( ord_le519537037nres_a @ ( F @ B2 ) @ C2 )
=> ( ! [X2: refine424419629nres_a,Y4: refine424419629nres_a] :
( ( ord_le519537037nres_a @ X2 @ Y4 )
=> ( ord_le519537037nres_a @ ( F @ X2 ) @ ( F @ Y4 ) ) )
=> ( ord_le519537037nres_a @ ( F @ A2 ) @ C2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_220_order__subst2) ).
thf(144,axiom,
! [A2: refine424419629nres_a,F: refine432681134nres_b > refine424419629nres_a,B2: refine432681134nres_b,C2: refine432681134nres_b] :
( ( A2
= ( F @ B2 ) )
=> ( ( ord_le527798542nres_b @ B2 @ C2 )
=> ( ! [X2: refine432681134nres_b,Y4: refine432681134nres_b] :
( ( ord_le527798542nres_b @ X2 @ Y4 )
=> ( ord_le519537037nres_a @ ( F @ X2 ) @ ( F @ Y4 ) ) )
=> ( ord_le519537037nres_a @ A2 @ ( F @ C2 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_218_ord__eq__le__subst) ).
thf(145,axiom,
! [A2: refine432681134nres_b,F: refine424419629nres_a > refine432681134nres_b,B2: refine424419629nres_a,C2: refine424419629nres_a] :
( ( A2
= ( F @ B2 ) )
=> ( ( ord_le519537037nres_a @ B2 @ C2 )
=> ( ! [X2: refine424419629nres_a,Y4: refine424419629nres_a] :
( ( ord_le519537037nres_a @ X2 @ Y4 )
=> ( ord_le527798542nres_b @ ( F @ X2 ) @ ( F @ Y4 ) ) )
=> ( ord_le527798542nres_b @ A2 @ ( F @ C2 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_217_ord__eq__le__subst) ).
thf(146,axiom,
! [A2: refine424419629nres_a,F: refine424419629nres_a > refine424419629nres_a,B2: refine424419629nres_a,C2: refine424419629nres_a] :
( ( A2
= ( F @ B2 ) )
=> ( ( ord_le519537037nres_a @ B2 @ C2 )
=> ( ! [X2: refine424419629nres_a,Y4: refine424419629nres_a] :
( ( ord_le519537037nres_a @ X2 @ Y4 )
=> ( ord_le519537037nres_a @ ( F @ X2 ) @ ( F @ Y4 ) ) )
=> ( ord_le519537037nres_a @ A2 @ ( F @ C2 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_216_ord__eq__le__subst) ).
thf(148,axiom,
! [A2: refine432681134nres_b,B2: refine432681134nres_b,F: refine432681134nres_b > refine424419629nres_a,C2: refine424419629nres_a] :
( ( ord_le527798542nres_b @ A2 @ B2 )
=> ( ( ( F @ B2 )
= C2 )
=> ( ! [X2: refine432681134nres_b,Y4: refine432681134nres_b] :
( ( ord_le527798542nres_b @ X2 @ Y4 )
=> ( ord_le519537037nres_a @ ( F @ X2 ) @ ( F @ Y4 ) ) )
=> ( ord_le519537037nres_a @ ( F @ A2 ) @ C2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_214_ord__le__eq__subst) ).
thf(149,axiom,
! [A2: refine424419629nres_a,B2: refine424419629nres_a,F: refine424419629nres_a > refine432681134nres_b,C2: refine432681134nres_b] :
( ( ord_le519537037nres_a @ A2 @ B2 )
=> ( ( ( F @ B2 )
= C2 )
=> ( ! [X2: refine424419629nres_a,Y4: refine424419629nres_a] :
( ( ord_le519537037nres_a @ X2 @ Y4 )
=> ( ord_le527798542nres_b @ ( F @ X2 ) @ ( F @ Y4 ) ) )
=> ( ord_le527798542nres_b @ ( F @ A2 ) @ C2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_213_ord__le__eq__subst) ).
thf(150,axiom,
! [A2: refine424419629nres_a,B2: refine424419629nres_a,F: refine424419629nres_a > refine424419629nres_a,C2: refine424419629nres_a] :
( ( ord_le519537037nres_a @ A2 @ B2 )
=> ( ( ( F @ B2 )
= C2 )
=> ( ! [X2: refine424419629nres_a,Y4: refine424419629nres_a] :
( ( ord_le519537037nres_a @ X2 @ Y4 )
=> ( ord_le519537037nres_a @ ( F @ X2 ) @ ( F @ Y4 ) ) )
=> ( ord_le519537037nres_a @ ( F @ A2 ) @ C2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_212_ord__le__eq__subst) ).
thf(156,axiom,
( ( ^ [Y: refine424419629nres_a,Z: refine424419629nres_a] : ( Y = Z ) )
= ( ^ [X3: refine424419629nres_a,Y3: refine424419629nres_a] :
( ( ord_le519537037nres_a @ X3 @ Y3 )
& ( ord_le519537037nres_a @ Y3 @ X3 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_206_eq__iff) ).
thf(163,axiom,
! [X: refine424419629nres_a,Y2: refine424419629nres_a] :
( ( ord_le519537037nres_a @ X @ Y2 )
=> ( ( ord_le519537037nres_a @ Y2 @ X )
=> ( X = Y2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_199_antisym) ).
thf(170,axiom,
! [X: refine424419629nres_a,Y2: refine424419629nres_a] :
( ( X = Y2 )
=> ( ord_le519537037nres_a @ X @ Y2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_192_eq__refl) ).
thf(177,axiom,
! [A2: refine424419629nres_a,B2: refine424419629nres_a,C2: refine424419629nres_a] :
( ( ord_le519537037nres_a @ A2 @ B2 )
=> ( ( ord_le519537037nres_a @ B2 @ C2 )
=> ( ord_le519537037nres_a @ A2 @ C2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_185_order_Otrans) ).
thf(184,axiom,
! [Y2: refine424419629nres_a,X: refine424419629nres_a] :
( ( ord_le519537037nres_a @ Y2 @ X )
=> ( ( ord_le519537037nres_a @ X @ Y2 )
= ( X = Y2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_178_antisym__conv) ).
thf(191,axiom,
( ( ^ [Y: refine424419629nres_a,Z: refine424419629nres_a] : ( Y = Z ) )
= ( ^ [A3: refine424419629nres_a,B3: refine424419629nres_a] :
( ( ord_le519537037nres_a @ A3 @ B3 )
& ( ord_le519537037nres_a @ B3 @ A3 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_171_order__class_Oorder_Oeq__iff) ).
thf(198,axiom,
! [A2: refine424419629nres_a,B2: refine424419629nres_a,C2: refine424419629nres_a] :
( ( A2 = B2 )
=> ( ( ord_le519537037nres_a @ B2 @ C2 )
=> ( ord_le519537037nres_a @ A2 @ C2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_164_ord__eq__le__trans) ).
thf(205,axiom,
! [A2: refine424419629nres_a,B2: refine424419629nres_a,C2: refine424419629nres_a] :
( ( ord_le519537037nres_a @ A2 @ B2 )
=> ( ( B2 = C2 )
=> ( ord_le519537037nres_a @ A2 @ C2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_157_ord__le__eq__trans) ).
thf(212,axiom,
! [A2: refine424419629nres_a,B2: refine424419629nres_a] :
( ( ord_le519537037nres_a @ A2 @ B2 )
=> ( ( ord_le519537037nres_a @ B2 @ A2 )
=> ( A2 = B2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_150_order__class_Oorder_Oantisym) ).
thf(219,axiom,
! [X: refine424419629nres_a,Y2: refine424419629nres_a,Z2: refine424419629nres_a] :
( ( ord_le519537037nres_a @ X @ Y2 )
=> ( ( ord_le519537037nres_a @ Y2 @ Z2 )
=> ( ord_le519537037nres_a @ X @ Z2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_143_order__trans) ).
thf(226,axiom,
! [A2: refine424419629nres_a] : ( ord_le519537037nres_a @ A2 @ A2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_136_dual__order_Orefl) ).
thf(233,axiom,
! [B2: refine424419629nres_a,A2: refine424419629nres_a,C2: refine424419629nres_a] :
( ( ord_le519537037nres_a @ B2 @ A2 )
=> ( ( ord_le519537037nres_a @ C2 @ B2 )
=> ( ord_le519537037nres_a @ C2 @ A2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_129_dual__order_Otrans) ).
thf(240,axiom,
( ( ^ [Y: refine424419629nres_a,Z: refine424419629nres_a] : ( Y = Z ) )
= ( ^ [A3: refine424419629nres_a,B3: refine424419629nres_a] :
( ( ord_le519537037nres_a @ B3 @ A3 )
& ( ord_le519537037nres_a @ A3 @ B3 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_122_dual__order_Oeq__iff) ).
thf(247,axiom,
! [B2: refine424419629nres_a,A2: refine424419629nres_a] :
( ( ord_le519537037nres_a @ B2 @ A2 )
=> ( ( ord_le519537037nres_a @ A2 @ B2 )
=> ( A2 = B2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_115_dual__order_Oantisym) ).
thf(254,axiom,
! [T: refine424419629nres_a,T2: refine424419629nres_a,E: refine424419629nres_a,E2: refine424419629nres_a,B2: $o] :
( ( ord_le519537037nres_a @ T @ T2 )
=> ( ( ord_le519537037nres_a @ E @ E2 )
=> ( ord_le519537037nres_a @ ( if_Ref1724547303nres_a @ B2 @ T @ E ) @ ( if_Ref1724547303nres_a @ B2 @ T2 @ E2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_108_order__mono__setup_Omono__if) ).
thf(262,axiom,
! [R: set_Product_prod_a_b,R2: set_Product_prod_a_b,M: refine432681134nres_b] :
( ( ord_le816409512od_a_b @ R @ R2 )
=> ( ord_le519537037nres_a @ ( refine1441824854un_a_b @ R @ M ) @ ( refine1441824854un_a_b @ R2 @ M ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_100_conc__fun__R__mono) ).
thf(264,axiom,
( ord_le516598614nres_a
= ( ^ [F2: $o > refine424419629nres_a,G2: $o > refine424419629nres_a] :
! [X3: $o] : ( ord_le519537037nres_a @ ( F2 @ X3 ) @ ( G2 @ X3 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_98_le__fun__def) ).
thf(267,axiom,
! [B2: $o,M1: refine424419629nres_a,M12: refine424419629nres_a,M22: refine424419629nres_a,M23: refine424419629nres_a] :
( ( B2
=> ( ord_le519537037nres_a @ M1 @ M12 ) )
=> ( ( ~ B2
=> ( ord_le519537037nres_a @ M22 @ M23 ) )
=> ( ord_le519537037nres_a @ ( if_Ref1724547303nres_a @ B2 @ M1 @ M22 ) @ ( if_Ref1724547303nres_a @ B2 @ M12 @ M23 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_95_Refine__Misc_Oif__mono) ).
thf(274,axiom,
! [F: $o > refine424419629nres_a,G: $o > refine424419629nres_a] :
( ! [X2: $o] : ( ord_le519537037nres_a @ ( F @ X2 ) @ ( G @ X2 ) )
=> ( ord_le516598614nres_a @ F @ G ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_88_le__funI) ).
thf(275,axiom,
! [F: $o > refine424419629nres_a,G: $o > refine424419629nres_a,X: $o] :
( ( ord_le516598614nres_a @ F @ G )
=> ( ord_le519537037nres_a @ ( F @ X ) @ ( G @ X ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_87_le__funE) ).
thf(277,axiom,
! [F: $o > refine424419629nres_a,G: $o > refine424419629nres_a,X: $o] :
( ( ord_le516598614nres_a @ F @ G )
=> ( ord_le519537037nres_a @ ( F @ X ) @ ( G @ X ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_85_le__funD) ).
thf(279,axiom,
! [A2: refine432681134nres_b] :
( ( ord_le527798542nres_b @ top_to240090974nres_b @ A2 )
=> ( A2 = top_to240090974nres_b ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_83_top_Oextremum__uniqueI) ).
thf(280,axiom,
! [A2: refine424419629nres_a] :
( ( ord_le519537037nres_a @ top_to231829469nres_a @ A2 )
=> ( A2 = top_to231829469nres_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_82_top_Oextremum__uniqueI) ).
thf(287,axiom,
! [A2: refine432681134nres_b] :
( ( ord_le527798542nres_b @ top_to240090974nres_b @ A2 )
= ( A2 = top_to240090974nres_b ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_75_top_Oextremum__unique) ).
thf(288,axiom,
! [A2: refine424419629nres_a] :
( ( ord_le519537037nres_a @ top_to231829469nres_a @ A2 )
= ( A2 = top_to231829469nres_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_74_top_Oextremum__unique) ).
thf(295,axiom,
! [M2: refine432681134nres_b,X: refine432681134nres_b] :
( ( M2 = top_to240090974nres_b )
=> ( ord_le527798542nres_b @ X @ M2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_67_meta__le__everything__if__top) ).
thf(296,axiom,
! [M2: refine424419629nres_a,X: refine424419629nres_a] :
( ( M2 = top_to231829469nres_a )
=> ( ord_le519537037nres_a @ X @ M2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_66_meta__le__everything__if__top) ).
thf(303,axiom,
! [A2: refine424419629nres_a] : ( ord_le519537037nres_a @ A2 @ top_to231829469nres_a ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_59_top__greatest) ).
thf(304,axiom,
! [A2: refine432681134nres_b] : ( ord_le527798542nres_b @ A2 @ top_to240090974nres_b ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_58_top__greatest) ).
thf(311,axiom,
! [X: refine424419629nres_a] : ( ord_le519537037nres_a @ X @ X ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_51_order__mono__setup_Orefl) ).
thf(318,axiom,
! [C: refine424419629nres_a,R: set_Product_prod_a_a,B: refine424419629nres_a,R2: set_Product_prod_a_b,A: refine432681134nres_b] :
( ( ord_le519537037nres_a @ C @ ( refine1441824853un_a_a @ R @ B ) )
=> ( ( ord_le519537037nres_a @ B @ ( refine1441824854un_a_b @ R2 @ A ) )
=> ( ord_le519537037nres_a @ C @ ( refine1441824853un_a_a @ R @ ( refine1441824854un_a_b @ R2 @ A ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_44_conc__trans) ).
thf(319,axiom,
! [C: refine424419629nres_a,R: set_Product_prod_a_a,B: refine424419629nres_a,R2: set_Product_prod_a_a,A: refine424419629nres_a] :
( ( ord_le519537037nres_a @ C @ ( refine1441824853un_a_a @ R @ B ) )
=> ( ( ord_le519537037nres_a @ B @ ( refine1441824853un_a_a @ R2 @ A ) )
=> ( ord_le519537037nres_a @ C @ ( refine1441824853un_a_a @ R @ ( refine1441824853un_a_a @ R2 @ A ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_43_conc__trans) ).
thf(326,axiom,
! [A: refine424419629nres_a,R: set_Product_prod_a_b,B: refine432681134nres_b,C: refine432681134nres_b] :
( ( ord_le519537037nres_a @ A @ ( refine1441824854un_a_b @ R @ B ) )
=> ( ( ord_le527798542nres_b @ B @ C )
=> ( ord_le519537037nres_a @ A @ ( refine1441824854un_a_b @ R @ C ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_36_conc__trans__additional_I1_J) ).
thf(327,axiom,
! [A: refine424419629nres_a,R: set_Product_prod_a_a,B: refine424419629nres_a,C: refine424419629nres_a] :
( ( ord_le519537037nres_a @ A @ ( refine1441824853un_a_a @ R @ B ) )
=> ( ( ord_le519537037nres_a @ B @ C )
=> ( ord_le519537037nres_a @ A @ ( refine1441824853un_a_a @ R @ C ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_35_conc__trans__additional_I1_J) ).
thf(330,axiom,
! [M: refine424419629nres_a] : ( ord_le519537037nres_a @ M @ top_to231829469nres_a ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_32_nres__order__simps_I3_J) ).
thf(331,axiom,
! [M: refine432681134nres_b] : ( ord_le527798542nres_b @ M @ top_to240090974nres_b ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_31_nres__order__simps_I3_J) ).
thf(333,axiom,
! [R: set_Product_prod_a_b] :
( ( refine1441824854un_a_b @ R @ top_to240090974nres_b )
= top_to231829469nres_a ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_29_conc__fun__FAIL) ).
thf(334,axiom,
! [R: set_Product_prod_b_b] :
( ( refine122110613un_b_b @ R @ top_to240090974nres_b )
= top_to240090974nres_b ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_28_conc__fun__FAIL) ).
thf(342,axiom,
! [R: set_Product_prod_a_b,S: refine432681134nres_b] :
( ( ( refine1441824854un_a_b @ R @ S )
= top_to231829469nres_a )
= ( S = top_to240090974nres_b ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_20_conc__fun__fail__iff_I1_J) ).
thf(343,axiom,
! [R: set_Product_prod_b_b,S: refine432681134nres_b] :
( ( ( refine122110613un_b_b @ R @ S )
= top_to240090974nres_b )
= ( S = top_to240090974nres_b ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_19_conc__fun__fail__iff_I1_J) ).
thf(351,axiom,
! [R: set_Product_prod_a_b,S: refine432681134nres_b] :
( ( top_to231829469nres_a
= ( refine1441824854un_a_b @ R @ S ) )
= ( S = top_to240090974nres_b ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_11_conc__fun__fail__iff_I2_J) ).
thf(352,axiom,
! [R: set_Product_prod_b_b,S: refine432681134nres_b] :
( ( top_to240090974nres_b
= ( refine122110613un_b_b @ R @ S ) )
= ( S = top_to240090974nres_b ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_10_conc__fun__fail__iff_I2_J) ).
thf(360,axiom,
! [M: refine424419629nres_a] :
( ( ord_le519537037nres_a @ top_to231829469nres_a @ M )
= ( M = top_to231829469nres_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2_nres__order__simps_I4_J) ).
thf(361,axiom,
! [M: refine432681134nres_b] :
( ( ord_le527798542nres_b @ top_to240090974nres_b @ M )
= ( M = top_to240090974nres_b ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1_nres__order__simps_I4_J) ).
thf(363,conjecture,
ord_le519537037nres_a @ x @ ( refine1441824854un_a_b @ r @ top_to240090974nres_b ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
thf(364,negated_conjecture,
( ( ord_le519537037nres_a @ x @ ( refine1441824854un_a_b @ r @ top_to240090974nres_b ) )
= $false ),
inference(negate_conjecture,[status(cth)],[363]) ).
thf(365,plain,
( ( ord_le519537037nres_a @ x @ ( refine1441824854un_a_b @ r @ top_to240090974nres_b ) )
= $false ),
inference(unfold_def,[status(thm)],[364]) ).
thf(366,plain,
( ( ! [P: $o] :
( ( P = $true )
| ( P = $false ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(367,plain,
( ( ! [X: refine432681134nres_b] :
( ( sup_su2042991066nres_b @ top_to240090974nres_b @ X )
= top_to240090974nres_b ) )
= $true ),
inference(unfold_def,[status(thm)],[17]) ).
thf(368,plain,
( ( ! [F: b > refine432681134nres_b] :
( ( refine1264602246nd_b_b @ top_to240090974nres_b @ F )
= top_to240090974nres_b ) )
= $true ),
inference(unfold_def,[status(thm)],[27]) ).
thf(369,plain,
( ( ! [S: refine424419629nres_a,S4: refine424419629nres_a,X: a] :
( ( ord_le519537037nres_a @ S @ S4 )
=> ( ( refine1001002027nres_a @ S @ X )
=> ( refine1001002027nres_a @ S4 @ X ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[37]) ).
thf(370,plain,
( ( ( refine1001002028nres_b @ top_to240090974nres_b )
= ( ^ [Uu: b] : $true ) )
= $true ),
inference(unfold_def,[status(thm)],[39]) ).
thf(371,plain,
( ( ! [M3: refine424419629nres_a,M: refine424419629nres_a] :
( ( ( refine412683989fail_a @ M3 )
=> ( ord_le519537037nres_a @ M @ M3 ) )
=> ( ord_le519537037nres_a @ M @ M3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[47]) ).
thf(372,plain,
( ( ! [S: refine424419629nres_a,S4: refine424419629nres_a] :
( ( ord_le519537037nres_a @ S @ S4 )
=> ( ( refine412683989fail_a @ S4 )
=> ( refine412683989fail_a @ S ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[49]) ).
thf(373,plain,
( ( ! [S: refine432681134nres_b] :
( ( ~ ( refine412683990fail_b @ S ) )
= ( S = top_to240090974nres_b ) ) )
= $true ),
inference(unfold_def,[status(thm)],[51]) ).
thf(374,plain,
( ( refine412683990fail_b
= ( ^ [S3: refine432681134nres_b] : ( S3 != top_to240090974nres_b ) ) )
= $true ),
inference(unfold_def,[status(thm)],[53]) ).
thf(375,plain,
( ( ! [S: refine432681134nres_b] :
( ( top_to240090974nres_b != S )
= ( refine412683990fail_b @ S ) ) )
= $true ),
inference(unfold_def,[status(thm)],[55]) ).
thf(376,plain,
( ( ~ ( refine412683990fail_b @ top_to240090974nres_b ) )
= $true ),
inference(unfold_def,[status(thm)],[60]) ).
thf(377,plain,
( ( ! [X: b] :
( top_to240090974nres_b
!= ( refine2063221605TURN_b @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[69]) ).
thf(378,plain,
( ( ! [X: a,Y2: a] :
( ( ord_le519537037nres_a @ ( refine2063221604TURN_a @ X ) @ ( refine2063221604TURN_a @ Y2 ) )
= ( X = Y2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[71]) ).
thf(379,plain,
( ( ! [A: refine424419629nres_a,B: refine424419629nres_a,R: set_Product_prod_a_a,C: refine424419629nres_a] :
( ( ord_le519537037nres_a @ A @ B )
=> ( ( ord_le519537037nres_a @ ( refine1136779702un_a_a @ R @ B ) @ C )
=> ( ord_le519537037nres_a @ ( refine1136779702un_a_a @ R @ A ) @ C ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[81]) ).
thf(380,plain,
( ( ! [M: refine432681134nres_b] :
( ( M != top_to240090974nres_b )
=> ~ ! [X6: set_b] :
( M
!= ( refine1198353289_RES_b @ X6 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[83]) ).
thf(381,plain,
( ( ! [X5: set_b] :
( top_to240090974nres_b
!= ( refine1198353289_RES_b @ X5 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[85]) ).
thf(382,plain,
( ( ! [R: set_Product_prod_b_b] :
( ( refine1964549110un_b_b @ R @ top_to240090974nres_b )
= top_to240090974nres_b ) )
= $true ),
inference(unfold_def,[status(thm)],[99]) ).
thf(383,plain,
( ( ! [A2: refine424419629nres_a,B2: refine424419629nres_a,C2: refine424419629nres_a,D: refine424419629nres_a] :
( ( A2 = B2 )
=> ( ( ord_le519537037nres_a @ B2 @ C2 )
=> ( ( C2 = D )
=> ( ord_le519537037nres_a @ A2 @ D ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[128]) ).
thf(384,plain,
( ( ord_le516598614nres_a
= ( ^ [X4: $o > refine424419629nres_a,Y6: $o > refine424419629nres_a] :
( ( ord_le519537037nres_a @ ( X4 @ $false ) @ ( Y6 @ $false ) )
& ( ord_le519537037nres_a @ ( X4 @ $true ) @ ( Y6 @ $true ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[130]) ).
thf(385,plain,
( ( ! [P: refine424419629nres_a > $o,X: refine424419629nres_a,Q: refine424419629nres_a > $o] :
( ( P @ X )
=> ( ! [Y4: refine424419629nres_a] :
( ( P @ Y4 )
=> ( ord_le519537037nres_a @ Y4 @ X ) )
=> ( ! [X2: refine424419629nres_a] :
( ( P @ X2 )
=> ( ! [Y5: refine424419629nres_a] :
( ( P @ Y5 )
=> ( ord_le519537037nres_a @ Y5 @ X2 ) )
=> ( Q @ X2 ) ) )
=> ( Q @ ( order_1714329108nres_a @ P ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[132]) ).
thf(386,plain,
( ( ! [P: refine424419629nres_a > $o,X: refine424419629nres_a] :
( ( P @ X )
=> ( ! [Y4: refine424419629nres_a] :
( ( P @ Y4 )
=> ( ord_le519537037nres_a @ Y4 @ X ) )
=> ( ( order_1714329108nres_a @ P )
= X ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[134]) ).
thf(387,plain,
( ( ! [A2: refine432681134nres_b,F: refine424419629nres_a > refine432681134nres_b,B2: refine424419629nres_a,C2: refine424419629nres_a] :
( ( ord_le527798542nres_b @ A2 @ ( F @ B2 ) )
=> ( ( ord_le519537037nres_a @ B2 @ C2 )
=> ( ! [X2: refine424419629nres_a,Y4: refine424419629nres_a] :
( ( ord_le519537037nres_a @ X2 @ Y4 )
=> ( ord_le527798542nres_b @ ( F @ X2 ) @ ( F @ Y4 ) ) )
=> ( ord_le527798542nres_b @ A2 @ ( F @ C2 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[136]) ).
thf(388,plain,
( ( ! [A2: refine424419629nres_a,F: refine432681134nres_b > refine424419629nres_a,B2: refine432681134nres_b,C2: refine432681134nres_b] :
( ( ord_le519537037nres_a @ A2 @ ( F @ B2 ) )
=> ( ( ord_le527798542nres_b @ B2 @ C2 )
=> ( ! [X2: refine432681134nres_b,Y4: refine432681134nres_b] :
( ( ord_le527798542nres_b @ X2 @ Y4 )
=> ( ord_le519537037nres_a @ ( F @ X2 ) @ ( F @ Y4 ) ) )
=> ( ord_le519537037nres_a @ A2 @ ( F @ C2 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[137]) ).
thf(389,plain,
( ( ! [A2: refine424419629nres_a,F: refine424419629nres_a > refine424419629nres_a,B2: refine424419629nres_a,C2: refine424419629nres_a] :
( ( ord_le519537037nres_a @ A2 @ ( F @ B2 ) )
=> ( ( ord_le519537037nres_a @ B2 @ C2 )
=> ( ! [X2: refine424419629nres_a,Y4: refine424419629nres_a] :
( ( ord_le519537037nres_a @ X2 @ Y4 )
=> ( ord_le519537037nres_a @ ( F @ X2 ) @ ( F @ Y4 ) ) )
=> ( ord_le519537037nres_a @ A2 @ ( F @ C2 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[138]) ).
thf(390,plain,
( ( ! [A2: refine432681134nres_b,B2: refine432681134nres_b,F: refine432681134nres_b > refine424419629nres_a,C2: refine424419629nres_a] :
( ( ord_le527798542nres_b @ A2 @ B2 )
=> ( ( ord_le519537037nres_a @ ( F @ B2 ) @ C2 )
=> ( ! [X2: refine432681134nres_b,Y4: refine432681134nres_b] :
( ( ord_le527798542nres_b @ X2 @ Y4 )
=> ( ord_le519537037nres_a @ ( F @ X2 ) @ ( F @ Y4 ) ) )
=> ( ord_le519537037nres_a @ ( F @ A2 ) @ C2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[140]) ).
thf(391,plain,
( ( ! [A2: refine424419629nres_a,B2: refine424419629nres_a,F: refine424419629nres_a > refine432681134nres_b,C2: refine432681134nres_b] :
( ( ord_le519537037nres_a @ A2 @ B2 )
=> ( ( ord_le527798542nres_b @ ( F @ B2 ) @ C2 )
=> ( ! [X2: refine424419629nres_a,Y4: refine424419629nres_a] :
( ( ord_le519537037nres_a @ X2 @ Y4 )
=> ( ord_le527798542nres_b @ ( F @ X2 ) @ ( F @ Y4 ) ) )
=> ( ord_le527798542nres_b @ ( F @ A2 ) @ C2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[141]) ).
thf(392,plain,
( ( ! [A2: refine424419629nres_a,B2: refine424419629nres_a,F: refine424419629nres_a > refine424419629nres_a,C2: refine424419629nres_a] :
( ( ord_le519537037nres_a @ A2 @ B2 )
=> ( ( ord_le519537037nres_a @ ( F @ B2 ) @ C2 )
=> ( ! [X2: refine424419629nres_a,Y4: refine424419629nres_a] :
( ( ord_le519537037nres_a @ X2 @ Y4 )
=> ( ord_le519537037nres_a @ ( F @ X2 ) @ ( F @ Y4 ) ) )
=> ( ord_le519537037nres_a @ ( F @ A2 ) @ C2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[142]) ).
thf(393,plain,
( ( ! [A2: refine424419629nres_a,F: refine432681134nres_b > refine424419629nres_a,B2: refine432681134nres_b,C2: refine432681134nres_b] :
( ( A2
= ( F @ B2 ) )
=> ( ( ord_le527798542nres_b @ B2 @ C2 )
=> ( ! [X2: refine432681134nres_b,Y4: refine432681134nres_b] :
( ( ord_le527798542nres_b @ X2 @ Y4 )
=> ( ord_le519537037nres_a @ ( F @ X2 ) @ ( F @ Y4 ) ) )
=> ( ord_le519537037nres_a @ A2 @ ( F @ C2 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[144]) ).
thf(394,plain,
( ( ! [A2: refine432681134nres_b,F: refine424419629nres_a > refine432681134nres_b,B2: refine424419629nres_a,C2: refine424419629nres_a] :
( ( A2
= ( F @ B2 ) )
=> ( ( ord_le519537037nres_a @ B2 @ C2 )
=> ( ! [X2: refine424419629nres_a,Y4: refine424419629nres_a] :
( ( ord_le519537037nres_a @ X2 @ Y4 )
=> ( ord_le527798542nres_b @ ( F @ X2 ) @ ( F @ Y4 ) ) )
=> ( ord_le527798542nres_b @ A2 @ ( F @ C2 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[145]) ).
thf(395,plain,
( ( ! [A2: refine424419629nres_a,F: refine424419629nres_a > refine424419629nres_a,B2: refine424419629nres_a,C2: refine424419629nres_a] :
( ( A2
= ( F @ B2 ) )
=> ( ( ord_le519537037nres_a @ B2 @ C2 )
=> ( ! [X2: refine424419629nres_a,Y4: refine424419629nres_a] :
( ( ord_le519537037nres_a @ X2 @ Y4 )
=> ( ord_le519537037nres_a @ ( F @ X2 ) @ ( F @ Y4 ) ) )
=> ( ord_le519537037nres_a @ A2 @ ( F @ C2 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[146]) ).
thf(396,plain,
( ( ! [A2: refine432681134nres_b,B2: refine432681134nres_b,F: refine432681134nres_b > refine424419629nres_a,C2: refine424419629nres_a] :
( ( ord_le527798542nres_b @ A2 @ B2 )
=> ( ( ( F @ B2 )
= C2 )
=> ( ! [X2: refine432681134nres_b,Y4: refine432681134nres_b] :
( ( ord_le527798542nres_b @ X2 @ Y4 )
=> ( ord_le519537037nres_a @ ( F @ X2 ) @ ( F @ Y4 ) ) )
=> ( ord_le519537037nres_a @ ( F @ A2 ) @ C2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[148]) ).
thf(397,plain,
( ( ! [A2: refine424419629nres_a,B2: refine424419629nres_a,F: refine424419629nres_a > refine432681134nres_b,C2: refine432681134nres_b] :
( ( ord_le519537037nres_a @ A2 @ B2 )
=> ( ( ( F @ B2 )
= C2 )
=> ( ! [X2: refine424419629nres_a,Y4: refine424419629nres_a] :
( ( ord_le519537037nres_a @ X2 @ Y4 )
=> ( ord_le527798542nres_b @ ( F @ X2 ) @ ( F @ Y4 ) ) )
=> ( ord_le527798542nres_b @ ( F @ A2 ) @ C2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[149]) ).
thf(398,plain,
( ( ! [A2: refine424419629nres_a,B2: refine424419629nres_a,F: refine424419629nres_a > refine424419629nres_a,C2: refine424419629nres_a] :
( ( ord_le519537037nres_a @ A2 @ B2 )
=> ( ( ( F @ B2 )
= C2 )
=> ( ! [X2: refine424419629nres_a,Y4: refine424419629nres_a] :
( ( ord_le519537037nres_a @ X2 @ Y4 )
=> ( ord_le519537037nres_a @ ( F @ X2 ) @ ( F @ Y4 ) ) )
=> ( ord_le519537037nres_a @ ( F @ A2 ) @ C2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[150]) ).
thf(399,plain,
( ( ( ^ [Y: refine424419629nres_a,Z: refine424419629nres_a] : ( Y = Z ) )
= ( ^ [X3: refine424419629nres_a,Y3: refine424419629nres_a] :
( ( ord_le519537037nres_a @ X3 @ Y3 )
& ( ord_le519537037nres_a @ Y3 @ X3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[156]) ).
thf(400,plain,
( ( ! [X: refine424419629nres_a,Y2: refine424419629nres_a] :
( ( ord_le519537037nres_a @ X @ Y2 )
=> ( ( ord_le519537037nres_a @ Y2 @ X )
=> ( X = Y2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[163]) ).
thf(401,plain,
( ( ! [X: refine424419629nres_a,Y2: refine424419629nres_a] :
( ( X = Y2 )
=> ( ord_le519537037nres_a @ X @ Y2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[170]) ).
thf(402,plain,
( ( ! [A2: refine424419629nres_a,B2: refine424419629nres_a,C2: refine424419629nres_a] :
( ( ord_le519537037nres_a @ A2 @ B2 )
=> ( ( ord_le519537037nres_a @ B2 @ C2 )
=> ( ord_le519537037nres_a @ A2 @ C2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[177]) ).
thf(403,plain,
( ( ! [Y2: refine424419629nres_a,X: refine424419629nres_a] :
( ( ord_le519537037nres_a @ Y2 @ X )
=> ( ( ord_le519537037nres_a @ X @ Y2 )
= ( X = Y2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[184]) ).
thf(404,plain,
( ( ( ^ [Y: refine424419629nres_a,Z: refine424419629nres_a] : ( Y = Z ) )
= ( ^ [A3: refine424419629nres_a,B3: refine424419629nres_a] :
( ( ord_le519537037nres_a @ A3 @ B3 )
& ( ord_le519537037nres_a @ B3 @ A3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[191]) ).
thf(405,plain,
( ( ! [A2: refine424419629nres_a,B2: refine424419629nres_a,C2: refine424419629nres_a] :
( ( A2 = B2 )
=> ( ( ord_le519537037nres_a @ B2 @ C2 )
=> ( ord_le519537037nres_a @ A2 @ C2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[198]) ).
thf(406,plain,
( ( ! [A2: refine424419629nres_a,B2: refine424419629nres_a,C2: refine424419629nres_a] :
( ( ord_le519537037nres_a @ A2 @ B2 )
=> ( ( B2 = C2 )
=> ( ord_le519537037nres_a @ A2 @ C2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[205]) ).
thf(407,plain,
( ( ! [A2: refine424419629nres_a,B2: refine424419629nres_a] :
( ( ord_le519537037nres_a @ A2 @ B2 )
=> ( ( ord_le519537037nres_a @ B2 @ A2 )
=> ( A2 = B2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[212]) ).
thf(408,plain,
( ( ! [X: refine424419629nres_a,Y2: refine424419629nres_a,Z2: refine424419629nres_a] :
( ( ord_le519537037nres_a @ X @ Y2 )
=> ( ( ord_le519537037nres_a @ Y2 @ Z2 )
=> ( ord_le519537037nres_a @ X @ Z2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[219]) ).
thf(409,plain,
( ( ! [A2: refine424419629nres_a] : ( ord_le519537037nres_a @ A2 @ A2 ) )
= $true ),
inference(unfold_def,[status(thm)],[226]) ).
thf(410,plain,
( ( ! [B2: refine424419629nres_a,A2: refine424419629nres_a,C2: refine424419629nres_a] :
( ( ord_le519537037nres_a @ B2 @ A2 )
=> ( ( ord_le519537037nres_a @ C2 @ B2 )
=> ( ord_le519537037nres_a @ C2 @ A2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[233]) ).
thf(411,plain,
( ( ( ^ [Y: refine424419629nres_a,Z: refine424419629nres_a] : ( Y = Z ) )
= ( ^ [A3: refine424419629nres_a,B3: refine424419629nres_a] :
( ( ord_le519537037nres_a @ B3 @ A3 )
& ( ord_le519537037nres_a @ A3 @ B3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[240]) ).
thf(412,plain,
( ( ! [B2: refine424419629nres_a,A2: refine424419629nres_a] :
( ( ord_le519537037nres_a @ B2 @ A2 )
=> ( ( ord_le519537037nres_a @ A2 @ B2 )
=> ( A2 = B2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[247]) ).
thf(413,plain,
( ( ! [T: refine424419629nres_a,T2: refine424419629nres_a,E: refine424419629nres_a,E2: refine424419629nres_a,B2: $o] :
( ( ord_le519537037nres_a @ T @ T2 )
=> ( ( ord_le519537037nres_a @ E @ E2 )
=> ( ord_le519537037nres_a @ ( if_Ref1724547303nres_a @ B2 @ T @ E ) @ ( if_Ref1724547303nres_a @ B2 @ T2 @ E2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[254]) ).
thf(414,plain,
( ( ! [R: set_Product_prod_a_b,R2: set_Product_prod_a_b,M: refine432681134nres_b] :
( ( ord_le816409512od_a_b @ R @ R2 )
=> ( ord_le519537037nres_a @ ( refine1441824854un_a_b @ R @ M ) @ ( refine1441824854un_a_b @ R2 @ M ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[262]) ).
thf(415,plain,
( ( ord_le516598614nres_a
= ( ^ [F2: $o > refine424419629nres_a,G2: $o > refine424419629nres_a] :
! [X3: $o] : ( ord_le519537037nres_a @ ( F2 @ X3 ) @ ( G2 @ X3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[264]) ).
thf(416,plain,
( ( ! [B2: $o,M1: refine424419629nres_a,M12: refine424419629nres_a,M22: refine424419629nres_a,M23: refine424419629nres_a] :
( ( B2
=> ( ord_le519537037nres_a @ M1 @ M12 ) )
=> ( ( ~ B2
=> ( ord_le519537037nres_a @ M22 @ M23 ) )
=> ( ord_le519537037nres_a @ ( if_Ref1724547303nres_a @ B2 @ M1 @ M22 ) @ ( if_Ref1724547303nres_a @ B2 @ M12 @ M23 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[267]) ).
thf(417,plain,
( ( ! [F: $o > refine424419629nres_a,G: $o > refine424419629nres_a] :
( ! [X2: $o] : ( ord_le519537037nres_a @ ( F @ X2 ) @ ( G @ X2 ) )
=> ( ord_le516598614nres_a @ F @ G ) ) )
= $true ),
inference(unfold_def,[status(thm)],[274]) ).
thf(418,plain,
( ( ! [F: $o > refine424419629nres_a,G: $o > refine424419629nres_a,X: $o] :
( ( ord_le516598614nres_a @ F @ G )
=> ( ord_le519537037nres_a @ ( F @ X ) @ ( G @ X ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[275]) ).
thf(419,plain,
( ( ! [F: $o > refine424419629nres_a,G: $o > refine424419629nres_a,X: $o] :
( ( ord_le516598614nres_a @ F @ G )
=> ( ord_le519537037nres_a @ ( F @ X ) @ ( G @ X ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[277]) ).
thf(420,plain,
( ( ! [A2: refine432681134nres_b] :
( ( ord_le527798542nres_b @ top_to240090974nres_b @ A2 )
=> ( A2 = top_to240090974nres_b ) ) )
= $true ),
inference(unfold_def,[status(thm)],[279]) ).
thf(421,plain,
( ( ! [A2: refine424419629nres_a] :
( ( ord_le519537037nres_a @ top_to231829469nres_a @ A2 )
=> ( A2 = top_to231829469nres_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[280]) ).
thf(422,plain,
( ( ! [A2: refine432681134nres_b] :
( ( ord_le527798542nres_b @ top_to240090974nres_b @ A2 )
= ( A2 = top_to240090974nres_b ) ) )
= $true ),
inference(unfold_def,[status(thm)],[287]) ).
thf(423,plain,
( ( ! [A2: refine424419629nres_a] :
( ( ord_le519537037nres_a @ top_to231829469nres_a @ A2 )
= ( A2 = top_to231829469nres_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[288]) ).
thf(424,plain,
( ( ! [M2: refine432681134nres_b,X: refine432681134nres_b] :
( ( M2 = top_to240090974nres_b )
=> ( ord_le527798542nres_b @ X @ M2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[295]) ).
thf(425,plain,
( ( ! [M2: refine424419629nres_a,X: refine424419629nres_a] :
( ( M2 = top_to231829469nres_a )
=> ( ord_le519537037nres_a @ X @ M2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[296]) ).
thf(426,plain,
( ( ! [A2: refine424419629nres_a] : ( ord_le519537037nres_a @ A2 @ top_to231829469nres_a ) )
= $true ),
inference(unfold_def,[status(thm)],[303]) ).
thf(427,plain,
( ( ! [A2: refine432681134nres_b] : ( ord_le527798542nres_b @ A2 @ top_to240090974nres_b ) )
= $true ),
inference(unfold_def,[status(thm)],[304]) ).
thf(428,plain,
( ( ! [X: refine424419629nres_a] : ( ord_le519537037nres_a @ X @ X ) )
= $true ),
inference(unfold_def,[status(thm)],[311]) ).
thf(429,plain,
( ( ! [C: refine424419629nres_a,R: set_Product_prod_a_a,B: refine424419629nres_a,R2: set_Product_prod_a_b,A: refine432681134nres_b] :
( ( ord_le519537037nres_a @ C @ ( refine1441824853un_a_a @ R @ B ) )
=> ( ( ord_le519537037nres_a @ B @ ( refine1441824854un_a_b @ R2 @ A ) )
=> ( ord_le519537037nres_a @ C @ ( refine1441824853un_a_a @ R @ ( refine1441824854un_a_b @ R2 @ A ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[318]) ).
thf(430,plain,
( ( ! [C: refine424419629nres_a,R: set_Product_prod_a_a,B: refine424419629nres_a,R2: set_Product_prod_a_a,A: refine424419629nres_a] :
( ( ord_le519537037nres_a @ C @ ( refine1441824853un_a_a @ R @ B ) )
=> ( ( ord_le519537037nres_a @ B @ ( refine1441824853un_a_a @ R2 @ A ) )
=> ( ord_le519537037nres_a @ C @ ( refine1441824853un_a_a @ R @ ( refine1441824853un_a_a @ R2 @ A ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[319]) ).
thf(431,plain,
( ( ! [A: refine424419629nres_a,R: set_Product_prod_a_b,B: refine432681134nres_b,C: refine432681134nres_b] :
( ( ord_le519537037nres_a @ A @ ( refine1441824854un_a_b @ R @ B ) )
=> ( ( ord_le527798542nres_b @ B @ C )
=> ( ord_le519537037nres_a @ A @ ( refine1441824854un_a_b @ R @ C ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[326]) ).
thf(432,plain,
( ( ! [A: refine424419629nres_a,R: set_Product_prod_a_a,B: refine424419629nres_a,C: refine424419629nres_a] :
( ( ord_le519537037nres_a @ A @ ( refine1441824853un_a_a @ R @ B ) )
=> ( ( ord_le519537037nres_a @ B @ C )
=> ( ord_le519537037nres_a @ A @ ( refine1441824853un_a_a @ R @ C ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[327]) ).
thf(433,plain,
( ( ! [M: refine424419629nres_a] : ( ord_le519537037nres_a @ M @ top_to231829469nres_a ) )
= $true ),
inference(unfold_def,[status(thm)],[330]) ).
thf(434,plain,
( ( ! [M: refine432681134nres_b] : ( ord_le527798542nres_b @ M @ top_to240090974nres_b ) )
= $true ),
inference(unfold_def,[status(thm)],[331]) ).
thf(435,plain,
( ( ! [R: set_Product_prod_a_b] :
( ( refine1441824854un_a_b @ R @ top_to240090974nres_b )
= top_to231829469nres_a ) )
= $true ),
inference(unfold_def,[status(thm)],[333]) ).
thf(436,plain,
( ( ! [R: set_Product_prod_b_b] :
( ( refine122110613un_b_b @ R @ top_to240090974nres_b )
= top_to240090974nres_b ) )
= $true ),
inference(unfold_def,[status(thm)],[334]) ).
thf(437,plain,
( ( ! [R: set_Product_prod_a_b,S: refine432681134nres_b] :
( ( ( refine1441824854un_a_b @ R @ S )
= top_to231829469nres_a )
= ( S = top_to240090974nres_b ) ) )
= $true ),
inference(unfold_def,[status(thm)],[342]) ).
thf(438,plain,
( ( ! [R: set_Product_prod_b_b,S: refine432681134nres_b] :
( ( ( refine122110613un_b_b @ R @ S )
= top_to240090974nres_b )
= ( S = top_to240090974nres_b ) ) )
= $true ),
inference(unfold_def,[status(thm)],[343]) ).
thf(439,plain,
( ( ! [R: set_Product_prod_a_b,S: refine432681134nres_b] :
( ( top_to231829469nres_a
= ( refine1441824854un_a_b @ R @ S ) )
= ( S = top_to240090974nres_b ) ) )
= $true ),
inference(unfold_def,[status(thm)],[351]) ).
thf(440,plain,
( ( ! [R: set_Product_prod_b_b,S: refine432681134nres_b] :
( ( top_to240090974nres_b
= ( refine122110613un_b_b @ R @ S ) )
= ( S = top_to240090974nres_b ) ) )
= $true ),
inference(unfold_def,[status(thm)],[352]) ).
thf(441,plain,
( ( ! [M: refine424419629nres_a] :
( ( ord_le519537037nres_a @ top_to231829469nres_a @ M )
= ( M = top_to231829469nres_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[360]) ).
thf(442,plain,
( ( ! [M: refine432681134nres_b] :
( ( ord_le527798542nres_b @ top_to240090974nres_b @ M )
= ( M = top_to240090974nres_b ) ) )
= $true ),
inference(unfold_def,[status(thm)],[361]) ).
thf(443,plain,
( ( ~ ( ord_le519537037nres_a @ x @ ( refine1441824854un_a_b @ r @ top_to240090974nres_b ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[365]) ).
thf(444,plain,
( ( ! [M: refine432681134nres_b] :
( ( ord_le527798542nres_b @ top_to240090974nres_b @ M )
= ( M = top_to240090974nres_b ) ) )
= $true ),
inference(copy,[status(thm)],[442]) ).
thf(445,plain,
( ( ! [M: refine424419629nres_a] :
( ( ord_le519537037nres_a @ top_to231829469nres_a @ M )
= ( M = top_to231829469nres_a ) ) )
= $true ),
inference(copy,[status(thm)],[441]) ).
thf(446,plain,
( ( ! [R: set_Product_prod_b_b,S: refine432681134nres_b] :
( ( top_to240090974nres_b
= ( refine122110613un_b_b @ R @ S ) )
= ( S = top_to240090974nres_b ) ) )
= $true ),
inference(copy,[status(thm)],[440]) ).
thf(447,plain,
( ( ! [R: set_Product_prod_a_b,S: refine432681134nres_b] :
( ( top_to231829469nres_a
= ( refine1441824854un_a_b @ R @ S ) )
= ( S = top_to240090974nres_b ) ) )
= $true ),
inference(copy,[status(thm)],[439]) ).
thf(448,plain,
( ( ! [R: set_Product_prod_b_b,S: refine432681134nres_b] :
( ( ( refine122110613un_b_b @ R @ S )
= top_to240090974nres_b )
= ( S = top_to240090974nres_b ) ) )
= $true ),
inference(copy,[status(thm)],[438]) ).
thf(449,plain,
( ( ! [R: set_Product_prod_a_b,S: refine432681134nres_b] :
( ( ( refine1441824854un_a_b @ R @ S )
= top_to231829469nres_a )
= ( S = top_to240090974nres_b ) ) )
= $true ),
inference(copy,[status(thm)],[437]) ).
thf(450,plain,
( ( ! [R: set_Product_prod_b_b] :
( ( refine122110613un_b_b @ R @ top_to240090974nres_b )
= top_to240090974nres_b ) )
= $true ),
inference(copy,[status(thm)],[436]) ).
thf(451,plain,
( ( ! [R: set_Product_prod_a_b] :
( ( refine1441824854un_a_b @ R @ top_to240090974nres_b )
= top_to231829469nres_a ) )
= $true ),
inference(copy,[status(thm)],[435]) ).
thf(452,plain,
( ( ! [M: refine432681134nres_b] : ( ord_le527798542nres_b @ M @ top_to240090974nres_b ) )
= $true ),
inference(copy,[status(thm)],[434]) ).
thf(453,plain,
( ( ! [M: refine424419629nres_a] : ( ord_le519537037nres_a @ M @ top_to231829469nres_a ) )
= $true ),
inference(copy,[status(thm)],[433]) ).
thf(454,plain,
( ( ! [A: refine424419629nres_a,R: set_Product_prod_a_a,B: refine424419629nres_a,C: refine424419629nres_a] :
( ( ord_le519537037nres_a @ A @ ( refine1441824853un_a_a @ R @ B ) )
=> ( ( ord_le519537037nres_a @ B @ C )
=> ( ord_le519537037nres_a @ A @ ( refine1441824853un_a_a @ R @ C ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[432]) ).
thf(455,plain,
( ( ! [A: refine424419629nres_a,R: set_Product_prod_a_b,B: refine432681134nres_b,C: refine432681134nres_b] :
( ( ord_le519537037nres_a @ A @ ( refine1441824854un_a_b @ R @ B ) )
=> ( ( ord_le527798542nres_b @ B @ C )
=> ( ord_le519537037nres_a @ A @ ( refine1441824854un_a_b @ R @ C ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[431]) ).
thf(456,plain,
( ( ! [C: refine424419629nres_a,R: set_Product_prod_a_a,B: refine424419629nres_a,R2: set_Product_prod_a_a,A: refine424419629nres_a] :
( ( ord_le519537037nres_a @ C @ ( refine1441824853un_a_a @ R @ B ) )
=> ( ( ord_le519537037nres_a @ B @ ( refine1441824853un_a_a @ R2 @ A ) )
=> ( ord_le519537037nres_a @ C @ ( refine1441824853un_a_a @ R @ ( refine1441824853un_a_a @ R2 @ A ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[430]) ).
thf(457,plain,
( ( ! [C: refine424419629nres_a,R: set_Product_prod_a_a,B: refine424419629nres_a,R2: set_Product_prod_a_b,A: refine432681134nres_b] :
( ( ord_le519537037nres_a @ C @ ( refine1441824853un_a_a @ R @ B ) )
=> ( ( ord_le519537037nres_a @ B @ ( refine1441824854un_a_b @ R2 @ A ) )
=> ( ord_le519537037nres_a @ C @ ( refine1441824853un_a_a @ R @ ( refine1441824854un_a_b @ R2 @ A ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[429]) ).
thf(458,plain,
( ( ! [X: refine424419629nres_a] : ( ord_le519537037nres_a @ X @ X ) )
= $true ),
inference(copy,[status(thm)],[428]) ).
thf(459,plain,
( ( ! [A2: refine432681134nres_b] : ( ord_le527798542nres_b @ A2 @ top_to240090974nres_b ) )
= $true ),
inference(copy,[status(thm)],[427]) ).
thf(460,plain,
( ( ! [A2: refine424419629nres_a] : ( ord_le519537037nres_a @ A2 @ top_to231829469nres_a ) )
= $true ),
inference(copy,[status(thm)],[426]) ).
thf(461,plain,
( ( ! [M2: refine424419629nres_a,X: refine424419629nres_a] :
( ( M2 = top_to231829469nres_a )
=> ( ord_le519537037nres_a @ X @ M2 ) ) )
= $true ),
inference(copy,[status(thm)],[425]) ).
thf(462,plain,
( ( ! [M2: refine432681134nres_b,X: refine432681134nres_b] :
( ( M2 = top_to240090974nres_b )
=> ( ord_le527798542nres_b @ X @ M2 ) ) )
= $true ),
inference(copy,[status(thm)],[424]) ).
thf(463,plain,
( ( ! [A2: refine424419629nres_a] :
( ( ord_le519537037nres_a @ top_to231829469nres_a @ A2 )
= ( A2 = top_to231829469nres_a ) ) )
= $true ),
inference(copy,[status(thm)],[423]) ).
thf(464,plain,
( ( ! [A2: refine432681134nres_b] :
( ( ord_le527798542nres_b @ top_to240090974nres_b @ A2 )
= ( A2 = top_to240090974nres_b ) ) )
= $true ),
inference(copy,[status(thm)],[422]) ).
thf(465,plain,
( ( ! [A2: refine424419629nres_a] :
( ( ord_le519537037nres_a @ top_to231829469nres_a @ A2 )
=> ( A2 = top_to231829469nres_a ) ) )
= $true ),
inference(copy,[status(thm)],[421]) ).
thf(466,plain,
( ( ! [A2: refine432681134nres_b] :
( ( ord_le527798542nres_b @ top_to240090974nres_b @ A2 )
=> ( A2 = top_to240090974nres_b ) ) )
= $true ),
inference(copy,[status(thm)],[420]) ).
thf(467,plain,
( ( ! [F: $o > refine424419629nres_a,G: $o > refine424419629nres_a,X: $o] :
( ( ord_le516598614nres_a @ F @ G )
=> ( ord_le519537037nres_a @ ( F @ X ) @ ( G @ X ) ) ) )
= $true ),
inference(copy,[status(thm)],[419]) ).
thf(468,plain,
( ( ! [F: $o > refine424419629nres_a,G: $o > refine424419629nres_a,X: $o] :
( ( ord_le516598614nres_a @ F @ G )
=> ( ord_le519537037nres_a @ ( F @ X ) @ ( G @ X ) ) ) )
= $true ),
inference(copy,[status(thm)],[418]) ).
thf(469,plain,
( ( ! [F: $o > refine424419629nres_a,G: $o > refine424419629nres_a] :
( ! [X2: $o] : ( ord_le519537037nres_a @ ( F @ X2 ) @ ( G @ X2 ) )
=> ( ord_le516598614nres_a @ F @ G ) ) )
= $true ),
inference(copy,[status(thm)],[417]) ).
thf(470,plain,
( ( ! [B2: $o,M1: refine424419629nres_a,M12: refine424419629nres_a,M22: refine424419629nres_a,M23: refine424419629nres_a] :
( ( B2
=> ( ord_le519537037nres_a @ M1 @ M12 ) )
=> ( ( ~ B2
=> ( ord_le519537037nres_a @ M22 @ M23 ) )
=> ( ord_le519537037nres_a @ ( if_Ref1724547303nres_a @ B2 @ M1 @ M22 ) @ ( if_Ref1724547303nres_a @ B2 @ M12 @ M23 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[416]) ).
thf(471,plain,
( ( ord_le516598614nres_a
= ( ^ [F2: $o > refine424419629nres_a,G2: $o > refine424419629nres_a] :
! [X3: $o] : ( ord_le519537037nres_a @ ( F2 @ X3 ) @ ( G2 @ X3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[415]) ).
thf(472,plain,
( ( ! [R: set_Product_prod_a_b,R2: set_Product_prod_a_b,M: refine432681134nres_b] :
( ( ord_le816409512od_a_b @ R @ R2 )
=> ( ord_le519537037nres_a @ ( refine1441824854un_a_b @ R @ M ) @ ( refine1441824854un_a_b @ R2 @ M ) ) ) )
= $true ),
inference(copy,[status(thm)],[414]) ).
thf(473,plain,
( ( ! [T: refine424419629nres_a,T2: refine424419629nres_a,E: refine424419629nres_a,E2: refine424419629nres_a,B2: $o] :
( ( ord_le519537037nres_a @ T @ T2 )
=> ( ( ord_le519537037nres_a @ E @ E2 )
=> ( ord_le519537037nres_a @ ( if_Ref1724547303nres_a @ B2 @ T @ E ) @ ( if_Ref1724547303nres_a @ B2 @ T2 @ E2 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[413]) ).
thf(474,plain,
( ( ! [B2: refine424419629nres_a,A2: refine424419629nres_a] :
( ( ord_le519537037nres_a @ B2 @ A2 )
=> ( ( ord_le519537037nres_a @ A2 @ B2 )
=> ( A2 = B2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[412]) ).
thf(475,plain,
( ( ( ^ [Y: refine424419629nres_a,Z: refine424419629nres_a] : ( Y = Z ) )
= ( ^ [A3: refine424419629nres_a,B3: refine424419629nres_a] :
( ( ord_le519537037nres_a @ B3 @ A3 )
& ( ord_le519537037nres_a @ A3 @ B3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[411]) ).
thf(476,plain,
( ( ! [B2: refine424419629nres_a,A2: refine424419629nres_a,C2: refine424419629nres_a] :
( ( ord_le519537037nres_a @ B2 @ A2 )
=> ( ( ord_le519537037nres_a @ C2 @ B2 )
=> ( ord_le519537037nres_a @ C2 @ A2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[410]) ).
thf(477,plain,
( ( ! [A2: refine424419629nres_a] : ( ord_le519537037nres_a @ A2 @ A2 ) )
= $true ),
inference(copy,[status(thm)],[409]) ).
thf(478,plain,
( ( ! [X: refine424419629nres_a,Y2: refine424419629nres_a,Z2: refine424419629nres_a] :
( ( ord_le519537037nres_a @ X @ Y2 )
=> ( ( ord_le519537037nres_a @ Y2 @ Z2 )
=> ( ord_le519537037nres_a @ X @ Z2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[408]) ).
thf(479,plain,
( ( ! [A2: refine424419629nres_a,B2: refine424419629nres_a] :
( ( ord_le519537037nres_a @ A2 @ B2 )
=> ( ( ord_le519537037nres_a @ B2 @ A2 )
=> ( A2 = B2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[407]) ).
thf(480,plain,
( ( ! [A2: refine424419629nres_a,B2: refine424419629nres_a,C2: refine424419629nres_a] :
( ( ord_le519537037nres_a @ A2 @ B2 )
=> ( ( B2 = C2 )
=> ( ord_le519537037nres_a @ A2 @ C2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[406]) ).
thf(481,plain,
( ( ! [A2: refine424419629nres_a,B2: refine424419629nres_a,C2: refine424419629nres_a] :
( ( A2 = B2 )
=> ( ( ord_le519537037nres_a @ B2 @ C2 )
=> ( ord_le519537037nres_a @ A2 @ C2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[405]) ).
thf(482,plain,
( ( ( ^ [Y: refine424419629nres_a,Z: refine424419629nres_a] : ( Y = Z ) )
= ( ^ [A3: refine424419629nres_a,B3: refine424419629nres_a] :
( ( ord_le519537037nres_a @ A3 @ B3 )
& ( ord_le519537037nres_a @ B3 @ A3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[404]) ).
thf(483,plain,
( ( ! [Y2: refine424419629nres_a,X: refine424419629nres_a] :
( ( ord_le519537037nres_a @ Y2 @ X )
=> ( ( ord_le519537037nres_a @ X @ Y2 )
= ( X = Y2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[403]) ).
thf(484,plain,
( ( ! [A2: refine424419629nres_a,B2: refine424419629nres_a,C2: refine424419629nres_a] :
( ( ord_le519537037nres_a @ A2 @ B2 )
=> ( ( ord_le519537037nres_a @ B2 @ C2 )
=> ( ord_le519537037nres_a @ A2 @ C2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[402]) ).
thf(485,plain,
( ( ! [X: refine424419629nres_a,Y2: refine424419629nres_a] :
( ( X = Y2 )
=> ( ord_le519537037nres_a @ X @ Y2 ) ) )
= $true ),
inference(copy,[status(thm)],[401]) ).
thf(486,plain,
( ( ! [X: refine424419629nres_a,Y2: refine424419629nres_a] :
( ( ord_le519537037nres_a @ X @ Y2 )
=> ( ( ord_le519537037nres_a @ Y2 @ X )
=> ( X = Y2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[400]) ).
thf(487,plain,
( ( ( ^ [Y: refine424419629nres_a,Z: refine424419629nres_a] : ( Y = Z ) )
= ( ^ [X3: refine424419629nres_a,Y3: refine424419629nres_a] :
( ( ord_le519537037nres_a @ X3 @ Y3 )
& ( ord_le519537037nres_a @ Y3 @ X3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[399]) ).
thf(488,plain,
( ( ! [A2: refine424419629nres_a,B2: refine424419629nres_a,F: refine424419629nres_a > refine424419629nres_a,C2: refine424419629nres_a] :
( ( ord_le519537037nres_a @ A2 @ B2 )
=> ( ( ( F @ B2 )
= C2 )
=> ( ! [X2: refine424419629nres_a,Y4: refine424419629nres_a] :
( ( ord_le519537037nres_a @ X2 @ Y4 )
=> ( ord_le519537037nres_a @ ( F @ X2 ) @ ( F @ Y4 ) ) )
=> ( ord_le519537037nres_a @ ( F @ A2 ) @ C2 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[398]) ).
thf(489,plain,
( ( ! [A2: refine424419629nres_a,B2: refine424419629nres_a,F: refine424419629nres_a > refine432681134nres_b,C2: refine432681134nres_b] :
( ( ord_le519537037nres_a @ A2 @ B2 )
=> ( ( ( F @ B2 )
= C2 )
=> ( ! [X2: refine424419629nres_a,Y4: refine424419629nres_a] :
( ( ord_le519537037nres_a @ X2 @ Y4 )
=> ( ord_le527798542nres_b @ ( F @ X2 ) @ ( F @ Y4 ) ) )
=> ( ord_le527798542nres_b @ ( F @ A2 ) @ C2 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[397]) ).
thf(490,plain,
( ( ! [A2: refine432681134nres_b,B2: refine432681134nres_b,F: refine432681134nres_b > refine424419629nres_a,C2: refine424419629nres_a] :
( ( ord_le527798542nres_b @ A2 @ B2 )
=> ( ( ( F @ B2 )
= C2 )
=> ( ! [X2: refine432681134nres_b,Y4: refine432681134nres_b] :
( ( ord_le527798542nres_b @ X2 @ Y4 )
=> ( ord_le519537037nres_a @ ( F @ X2 ) @ ( F @ Y4 ) ) )
=> ( ord_le519537037nres_a @ ( F @ A2 ) @ C2 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[396]) ).
thf(491,plain,
( ( ! [A2: refine424419629nres_a,F: refine424419629nres_a > refine424419629nres_a,B2: refine424419629nres_a,C2: refine424419629nres_a] :
( ( A2
= ( F @ B2 ) )
=> ( ( ord_le519537037nres_a @ B2 @ C2 )
=> ( ! [X2: refine424419629nres_a,Y4: refine424419629nres_a] :
( ( ord_le519537037nres_a @ X2 @ Y4 )
=> ( ord_le519537037nres_a @ ( F @ X2 ) @ ( F @ Y4 ) ) )
=> ( ord_le519537037nres_a @ A2 @ ( F @ C2 ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[395]) ).
thf(492,plain,
( ( ! [A2: refine432681134nres_b,F: refine424419629nres_a > refine432681134nres_b,B2: refine424419629nres_a,C2: refine424419629nres_a] :
( ( A2
= ( F @ B2 ) )
=> ( ( ord_le519537037nres_a @ B2 @ C2 )
=> ( ! [X2: refine424419629nres_a,Y4: refine424419629nres_a] :
( ( ord_le519537037nres_a @ X2 @ Y4 )
=> ( ord_le527798542nres_b @ ( F @ X2 ) @ ( F @ Y4 ) ) )
=> ( ord_le527798542nres_b @ A2 @ ( F @ C2 ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[394]) ).
thf(493,plain,
( ( ! [A2: refine424419629nres_a,F: refine432681134nres_b > refine424419629nres_a,B2: refine432681134nres_b,C2: refine432681134nres_b] :
( ( A2
= ( F @ B2 ) )
=> ( ( ord_le527798542nres_b @ B2 @ C2 )
=> ( ! [X2: refine432681134nres_b,Y4: refine432681134nres_b] :
( ( ord_le527798542nres_b @ X2 @ Y4 )
=> ( ord_le519537037nres_a @ ( F @ X2 ) @ ( F @ Y4 ) ) )
=> ( ord_le519537037nres_a @ A2 @ ( F @ C2 ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[393]) ).
thf(494,plain,
( ( ! [A2: refine424419629nres_a,B2: refine424419629nres_a,F: refine424419629nres_a > refine424419629nres_a,C2: refine424419629nres_a] :
( ( ord_le519537037nres_a @ A2 @ B2 )
=> ( ( ord_le519537037nres_a @ ( F @ B2 ) @ C2 )
=> ( ! [X2: refine424419629nres_a,Y4: refine424419629nres_a] :
( ( ord_le519537037nres_a @ X2 @ Y4 )
=> ( ord_le519537037nres_a @ ( F @ X2 ) @ ( F @ Y4 ) ) )
=> ( ord_le519537037nres_a @ ( F @ A2 ) @ C2 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[392]) ).
thf(495,plain,
( ( ! [A2: refine424419629nres_a,B2: refine424419629nres_a,F: refine424419629nres_a > refine432681134nres_b,C2: refine432681134nres_b] :
( ( ord_le519537037nres_a @ A2 @ B2 )
=> ( ( ord_le527798542nres_b @ ( F @ B2 ) @ C2 )
=> ( ! [X2: refine424419629nres_a,Y4: refine424419629nres_a] :
( ( ord_le519537037nres_a @ X2 @ Y4 )
=> ( ord_le527798542nres_b @ ( F @ X2 ) @ ( F @ Y4 ) ) )
=> ( ord_le527798542nres_b @ ( F @ A2 ) @ C2 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[391]) ).
thf(496,plain,
( ( ! [A2: refine432681134nres_b,B2: refine432681134nres_b,F: refine432681134nres_b > refine424419629nres_a,C2: refine424419629nres_a] :
( ( ord_le527798542nres_b @ A2 @ B2 )
=> ( ( ord_le519537037nres_a @ ( F @ B2 ) @ C2 )
=> ( ! [X2: refine432681134nres_b,Y4: refine432681134nres_b] :
( ( ord_le527798542nres_b @ X2 @ Y4 )
=> ( ord_le519537037nres_a @ ( F @ X2 ) @ ( F @ Y4 ) ) )
=> ( ord_le519537037nres_a @ ( F @ A2 ) @ C2 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[390]) ).
thf(497,plain,
( ( ! [A2: refine424419629nres_a,F: refine424419629nres_a > refine424419629nres_a,B2: refine424419629nres_a,C2: refine424419629nres_a] :
( ( ord_le519537037nres_a @ A2 @ ( F @ B2 ) )
=> ( ( ord_le519537037nres_a @ B2 @ C2 )
=> ( ! [X2: refine424419629nres_a,Y4: refine424419629nres_a] :
( ( ord_le519537037nres_a @ X2 @ Y4 )
=> ( ord_le519537037nres_a @ ( F @ X2 ) @ ( F @ Y4 ) ) )
=> ( ord_le519537037nres_a @ A2 @ ( F @ C2 ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[389]) ).
thf(498,plain,
( ( ! [A2: refine424419629nres_a,F: refine432681134nres_b > refine424419629nres_a,B2: refine432681134nres_b,C2: refine432681134nres_b] :
( ( ord_le519537037nres_a @ A2 @ ( F @ B2 ) )
=> ( ( ord_le527798542nres_b @ B2 @ C2 )
=> ( ! [X2: refine432681134nres_b,Y4: refine432681134nres_b] :
( ( ord_le527798542nres_b @ X2 @ Y4 )
=> ( ord_le519537037nres_a @ ( F @ X2 ) @ ( F @ Y4 ) ) )
=> ( ord_le519537037nres_a @ A2 @ ( F @ C2 ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[388]) ).
thf(499,plain,
( ( ! [A2: refine432681134nres_b,F: refine424419629nres_a > refine432681134nres_b,B2: refine424419629nres_a,C2: refine424419629nres_a] :
( ( ord_le527798542nres_b @ A2 @ ( F @ B2 ) )
=> ( ( ord_le519537037nres_a @ B2 @ C2 )
=> ( ! [X2: refine424419629nres_a,Y4: refine424419629nres_a] :
( ( ord_le519537037nres_a @ X2 @ Y4 )
=> ( ord_le527798542nres_b @ ( F @ X2 ) @ ( F @ Y4 ) ) )
=> ( ord_le527798542nres_b @ A2 @ ( F @ C2 ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[387]) ).
thf(500,plain,
( ( ! [P: refine424419629nres_a > $o,X: refine424419629nres_a] :
( ( P @ X )
=> ( ! [Y4: refine424419629nres_a] :
( ( P @ Y4 )
=> ( ord_le519537037nres_a @ Y4 @ X ) )
=> ( ( order_1714329108nres_a @ P )
= X ) ) ) )
= $true ),
inference(copy,[status(thm)],[386]) ).
thf(501,plain,
( ( ! [P: refine424419629nres_a > $o,X: refine424419629nres_a,Q: refine424419629nres_a > $o] :
( ( P @ X )
=> ( ! [Y4: refine424419629nres_a] :
( ( P @ Y4 )
=> ( ord_le519537037nres_a @ Y4 @ X ) )
=> ( ! [X2: refine424419629nres_a] :
( ( P @ X2 )
=> ( ! [Y5: refine424419629nres_a] :
( ( P @ Y5 )
=> ( ord_le519537037nres_a @ Y5 @ X2 ) )
=> ( Q @ X2 ) ) )
=> ( Q @ ( order_1714329108nres_a @ P ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[385]) ).
thf(502,plain,
( ( ord_le516598614nres_a
= ( ^ [X4: $o > refine424419629nres_a,Y6: $o > refine424419629nres_a] :
( ( ord_le519537037nres_a @ ( X4 @ $false ) @ ( Y6 @ $false ) )
& ( ord_le519537037nres_a @ ( X4 @ $true ) @ ( Y6 @ $true ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[384]) ).
thf(503,plain,
( ( ! [A2: refine424419629nres_a,B2: refine424419629nres_a,C2: refine424419629nres_a,D: refine424419629nres_a] :
( ( A2 = B2 )
=> ( ( ord_le519537037nres_a @ B2 @ C2 )
=> ( ( C2 = D )
=> ( ord_le519537037nres_a @ A2 @ D ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[383]) ).
thf(504,plain,
( ( ! [R: set_Product_prod_b_b] :
( ( refine1964549110un_b_b @ R @ top_to240090974nres_b )
= top_to240090974nres_b ) )
= $true ),
inference(copy,[status(thm)],[382]) ).
thf(505,plain,
( ( ! [X5: set_b] :
( top_to240090974nres_b
!= ( refine1198353289_RES_b @ X5 ) ) )
= $true ),
inference(copy,[status(thm)],[381]) ).
thf(506,plain,
( ( ! [M: refine432681134nres_b] :
( ( M != top_to240090974nres_b )
=> ~ ! [X6: set_b] :
( M
!= ( refine1198353289_RES_b @ X6 ) ) ) )
= $true ),
inference(copy,[status(thm)],[380]) ).
thf(507,plain,
( ( ! [A: refine424419629nres_a,B: refine424419629nres_a,R: set_Product_prod_a_a,C: refine424419629nres_a] :
( ( ord_le519537037nres_a @ A @ B )
=> ( ( ord_le519537037nres_a @ ( refine1136779702un_a_a @ R @ B ) @ C )
=> ( ord_le519537037nres_a @ ( refine1136779702un_a_a @ R @ A ) @ C ) ) ) )
= $true ),
inference(copy,[status(thm)],[379]) ).
thf(508,plain,
( ( ! [X: a,Y2: a] :
( ( ord_le519537037nres_a @ ( refine2063221604TURN_a @ X ) @ ( refine2063221604TURN_a @ Y2 ) )
= ( X = Y2 ) ) )
= $true ),
inference(copy,[status(thm)],[378]) ).
thf(509,plain,
( ( ! [X: b] :
( top_to240090974nres_b
!= ( refine2063221605TURN_b @ X ) ) )
= $true ),
inference(copy,[status(thm)],[377]) ).
thf(510,plain,
( ( ~ ( refine412683990fail_b @ top_to240090974nres_b ) )
= $true ),
inference(copy,[status(thm)],[376]) ).
thf(511,plain,
( ( ! [S: refine432681134nres_b] :
( ( top_to240090974nres_b != S )
= ( refine412683990fail_b @ S ) ) )
= $true ),
inference(copy,[status(thm)],[375]) ).
thf(512,plain,
( ( refine412683990fail_b
= ( ^ [S3: refine432681134nres_b] : ( S3 != top_to240090974nres_b ) ) )
= $true ),
inference(copy,[status(thm)],[374]) ).
thf(513,plain,
( ( ! [S: refine432681134nres_b] :
( ( ~ ( refine412683990fail_b @ S ) )
= ( S = top_to240090974nres_b ) ) )
= $true ),
inference(copy,[status(thm)],[373]) ).
thf(514,plain,
( ( ! [S: refine424419629nres_a,S4: refine424419629nres_a] :
( ( ord_le519537037nres_a @ S @ S4 )
=> ( ( refine412683989fail_a @ S4 )
=> ( refine412683989fail_a @ S ) ) ) )
= $true ),
inference(copy,[status(thm)],[372]) ).
thf(515,plain,
( ( ! [M3: refine424419629nres_a,M: refine424419629nres_a] :
( ( ( refine412683989fail_a @ M3 )
=> ( ord_le519537037nres_a @ M @ M3 ) )
=> ( ord_le519537037nres_a @ M @ M3 ) ) )
= $true ),
inference(copy,[status(thm)],[371]) ).
thf(516,plain,
( ( ( refine1001002028nres_b @ top_to240090974nres_b )
= ( ^ [Uu: b] : $true ) )
= $true ),
inference(copy,[status(thm)],[370]) ).
thf(517,plain,
( ( ! [S: refine424419629nres_a,S4: refine424419629nres_a,X: a] :
( ( ord_le519537037nres_a @ S @ S4 )
=> ( ( refine1001002027nres_a @ S @ X )
=> ( refine1001002027nres_a @ S4 @ X ) ) ) )
= $true ),
inference(copy,[status(thm)],[369]) ).
thf(518,plain,
( ( ! [F: b > refine432681134nres_b] :
( ( refine1264602246nd_b_b @ top_to240090974nres_b @ F )
= top_to240090974nres_b ) )
= $true ),
inference(copy,[status(thm)],[368]) ).
thf(519,plain,
( ( ! [X: refine432681134nres_b] :
( ( sup_su2042991066nres_b @ top_to240090974nres_b @ X )
= top_to240090974nres_b ) )
= $true ),
inference(copy,[status(thm)],[367]) ).
thf(520,plain,
( ( ! [P: $o] :
( ( P = $true )
| ( P = $false ) ) )
= $true ),
inference(copy,[status(thm)],[366]) ).
thf(521,plain,
( ( ~ ( ord_le519537037nres_a @ x @ ( refine1441824854un_a_b @ r @ top_to240090974nres_b ) ) )
= $true ),
inference(copy,[status(thm)],[443]) ).
thf(522,plain,
( ( ! [SX0: $o > refine424419629nres_a,SX1: $o > refine424419629nres_a] :
( ~ ! [SX2: $o] : ( ord_le519537037nres_a @ ( SX0 @ SX2 ) @ ( SX1 @ SX2 ) )
| ( ord_le516598614nres_a @ SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[469]) ).
thf(523,plain,
( ( ! [SX0: refine424419629nres_a,SX1: refine424419629nres_a] :
( ~ ( ord_le519537037nres_a @ SX0 @ SX1 )
| ~ ( ord_le519537037nres_a @ SX1 @ SX0 )
| ( SX0 = SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[486]) ).
thf(524,plain,
( ( ! [SX0: refine424419629nres_a,SX1: set_Product_prod_a_b,SX2: refine432681134nres_b,SX3: refine432681134nres_b] :
( ~ ( ord_le519537037nres_a @ SX0 @ ( refine1441824854un_a_b @ SX1 @ SX2 ) )
| ~ ( ord_le527798542nres_b @ SX2 @ SX3 )
| ( ord_le519537037nres_a @ SX0 @ ( refine1441824854un_a_b @ SX1 @ SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[455]) ).
thf(525,plain,
( ( ! [SX0: refine432681134nres_b,SX1: refine432681134nres_b] :
( ( SX0 != top_to240090974nres_b )
| ( ord_le527798542nres_b @ SX1 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[462]) ).
thf(526,plain,
( ( ! [SX0: refine424419629nres_a,SX1: refine424419629nres_a,SX2: refine424419629nres_a > refine424419629nres_a,SX3: refine424419629nres_a] :
( ~ ( ord_le519537037nres_a @ SX0 @ SX1 )
| ~ ( ord_le519537037nres_a @ ( SX2 @ SX1 ) @ SX3 )
| ~ ! [SX4: refine424419629nres_a,SX5: refine424419629nres_a] :
( ~ ( ord_le519537037nres_a @ SX4 @ SX5 )
| ( ord_le519537037nres_a @ ( SX2 @ SX4 ) @ ( SX2 @ SX5 ) ) )
| ( ord_le519537037nres_a @ ( SX2 @ SX0 ) @ SX3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[494]) ).
thf(527,plain,
( ( ! [SX0: set_Product_prod_a_b,SX1: set_Product_prod_a_b,SX2: refine432681134nres_b] :
( ~ ( ord_le816409512od_a_b @ SX0 @ SX1 )
| ( ord_le519537037nres_a @ ( refine1441824854un_a_b @ SX0 @ SX2 ) @ ( refine1441824854un_a_b @ SX1 @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[472]) ).
thf(528,plain,
( ( ! [SX0: $o > refine424419629nres_a,SX1: $o > refine424419629nres_a,SX2: $o] :
( ~ ( ord_le516598614nres_a @ SX0 @ SX1 )
| ( ord_le519537037nres_a @ ( SX0 @ SX2 ) @ ( SX1 @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[467]) ).
thf(529,plain,
( ( ! [SX0: refine424419629nres_a,SX1: refine424419629nres_a,SX2: refine424419629nres_a,SX3: refine424419629nres_a,SX4: $o] :
( ~ ( ord_le519537037nres_a @ SX0 @ SX1 )
| ~ ( ord_le519537037nres_a @ SX2 @ SX3 )
| ( ord_le519537037nres_a @ ( if_Ref1724547303nres_a @ SX4 @ SX0 @ SX2 ) @ ( if_Ref1724547303nres_a @ SX4 @ SX1 @ SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[473]) ).
thf(530,plain,
( ( ! [SX0: refine424419629nres_a > $o,SX1: refine424419629nres_a,SX2: refine424419629nres_a > $o] :
( ~ ( SX0 @ SX1 )
| ~ ! [SX3: refine424419629nres_a] :
( ~ ( SX0 @ SX3 )
| ( ord_le519537037nres_a @ SX3 @ SX1 ) )
| ~ ! [SX3: refine424419629nres_a] :
( ~ ( SX0 @ SX3 )
| ~ ! [SX4: refine424419629nres_a] :
( ~ ( SX0 @ SX4 )
| ( ord_le519537037nres_a @ SX4 @ SX3 ) )
| ( SX2 @ SX3 ) )
| ( SX2 @ ( order_1714329108nres_a @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[501]) ).
thf(531,plain,
( ( ! [SX0: refine424419629nres_a,SX1: set_Product_prod_a_a,SX2: refine424419629nres_a,SX3: refine424419629nres_a] :
( ~ ( ord_le519537037nres_a @ SX0 @ ( refine1441824853un_a_a @ SX1 @ SX2 ) )
| ~ ( ord_le519537037nres_a @ SX2 @ SX3 )
| ( ord_le519537037nres_a @ SX0 @ ( refine1441824853un_a_a @ SX1 @ SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[454]) ).
thf(532,plain,
( ( ! [SX0: refine424419629nres_a,SX1: refine424419629nres_a] :
( ~ ( ~ ( refine412683989fail_a @ SX0 )
| ( ord_le519537037nres_a @ SX1 @ SX0 ) )
| ( ord_le519537037nres_a @ SX1 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[515]) ).
thf(533,plain,
( ( ! [SX0: refine432681134nres_b] :
( ~ ( ( SX0 != top_to240090974nres_b ) )
| ~ ! [SX1: set_b] :
( SX0
!= ( refine1198353289_RES_b @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[506]) ).
thf(534,plain,
( ( ( ^ [SX0: refine424419629nres_a,SX1: refine424419629nres_a] : ( SX0 = SX1 ) )
= ( ^ [SX0: refine424419629nres_a,SX1: refine424419629nres_a] :
~ ( ~ ( ord_le519537037nres_a @ SX1 @ SX0 )
| ~ ( ord_le519537037nres_a @ SX0 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[475]) ).
thf(535,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)],[489]) ).
thf(536,plain,
( ( ! [SX0: refine424419629nres_a,SX1: refine424419629nres_a,SX2: refine424419629nres_a] :
( ~ ( ord_le519537037nres_a @ SX0 @ SX1 )
| ~ ( ord_le519537037nres_a @ SX1 @ SX2 )
| ( ord_le519537037nres_a @ SX0 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[478]) ).
thf(537,plain,
( ( ! [SX0: set_b] :
( top_to240090974nres_b
!= ( refine1198353289_RES_b @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[505]) ).
thf(538,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)],[495]) ).
thf(539,plain,
( ( ! [SX0: refine424419629nres_a,SX1: refine424419629nres_a] :
( ~ ( ord_le519537037nres_a @ SX0 @ SX1 )
| ( ( ord_le519537037nres_a @ SX1 @ SX0 )
= ( SX1 = SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[483]) ).
thf(540,plain,
( ( ! [SX0: refine424419629nres_a,SX1: set_Product_prod_a_a,SX2: refine424419629nres_a,SX3: set_Product_prod_a_b,SX4: refine432681134nres_b] :
( ~ ( ord_le519537037nres_a @ SX0 @ ( refine1441824853un_a_a @ SX1 @ SX2 ) )
| ~ ( ord_le519537037nres_a @ SX2 @ ( refine1441824854un_a_b @ SX3 @ SX4 ) )
| ( ord_le519537037nres_a @ SX0 @ ( refine1441824853un_a_a @ SX1 @ ( refine1441824854un_a_b @ SX3 @ SX4 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[457]) ).
thf(541,plain,
( ( ! [SX0: refine424419629nres_a,SX1: refine424419629nres_a,SX2: a] :
( ~ ( ord_le519537037nres_a @ SX0 @ SX1 )
| ~ ( refine1001002027nres_a @ SX0 @ SX2 )
| ( refine1001002027nres_a @ SX1 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[517]) ).
thf(542,plain,
( ( ! [SX0: refine424419629nres_a,SX1: refine424419629nres_a,SX2: set_Product_prod_a_a,SX3: refine424419629nres_a] :
( ~ ( ord_le519537037nres_a @ SX0 @ SX1 )
| ~ ( ord_le519537037nres_a @ ( refine1136779702un_a_a @ SX2 @ SX1 ) @ SX3 )
| ( ord_le519537037nres_a @ ( refine1136779702un_a_a @ SX2 @ SX0 ) @ SX3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[507]) ).
thf(543,plain,
( ( ! [SX0: b] :
( top_to240090974nres_b
!= ( refine2063221605TURN_b @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[509]) ).
thf(544,plain,
( ( ! [SX0: refine424419629nres_a,SX1: refine424419629nres_a,SX2: refine424419629nres_a] :
( ~ ( ord_le519537037nres_a @ SX0 @ SX1 )
| ~ ( ord_le519537037nres_a @ SX2 @ SX0 )
| ( ord_le519537037nres_a @ SX2 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[476]) ).
thf(545,plain,
( ( ! [SX0: $o,SX1: refine424419629nres_a,SX2: refine424419629nres_a,SX3: refine424419629nres_a,SX4: refine424419629nres_a] :
( ~ ( ~ SX0
| ( ord_le519537037nres_a @ SX1 @ SX2 ) )
| ~ ( ~ ~ SX0
| ( ord_le519537037nres_a @ SX3 @ SX4 ) )
| ( ord_le519537037nres_a @ ( if_Ref1724547303nres_a @ SX0 @ SX1 @ SX3 ) @ ( if_Ref1724547303nres_a @ SX0 @ SX2 @ SX4 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[470]) ).
thf(546,plain,
( ( ! [SX0: refine424419629nres_a,SX1: refine424419629nres_a > refine424419629nres_a,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_le519537037nres_a @ ( SX1 @ SX4 ) @ ( SX1 @ SX5 ) ) )
| ( ord_le519537037nres_a @ SX0 @ ( SX1 @ SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[491]) ).
thf(547,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)],[498]) ).
thf(548,plain,
( ( ! [SX0: refine424419629nres_a,SX1: refine424419629nres_a,SX2: refine424419629nres_a] :
( ~ ( ord_le519537037nres_a @ SX0 @ SX1 )
| ( SX1 != SX2 )
| ( ord_le519537037nres_a @ SX0 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[480]) ).
thf(549,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)],[490]) ).
thf(550,plain,
( ( ! [SX0: refine432681134nres_b] :
( ( top_to240090974nres_b != SX0 )
= ( refine412683990fail_b @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[511]) ).
thf(551,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)],[499]) ).
thf(552,plain,
( ( ! [SX0: $o > refine424419629nres_a,SX1: $o > refine424419629nres_a,SX2: $o] :
( ~ ( ord_le516598614nres_a @ SX0 @ SX1 )
| ( ord_le519537037nres_a @ ( SX0 @ SX2 ) @ ( SX1 @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[468]) ).
thf(553,plain,
( ( ! [SX0: refine432681134nres_b] :
( ~ ( ord_le527798542nres_b @ top_to240090974nres_b @ SX0 )
| ( SX0 = top_to240090974nres_b ) ) )
= $true ),
inference(unfold_def,[status(thm)],[466]) ).
thf(554,plain,
( ( ! [SX0: refine424419629nres_a > $o,SX1: refine424419629nres_a] :
( ~ ( SX0 @ SX1 )
| ~ ! [SX2: refine424419629nres_a] :
( ~ ( SX0 @ SX2 )
| ( ord_le519537037nres_a @ SX2 @ SX1 ) )
| ( ( order_1714329108nres_a @ SX0 )
= SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[500]) ).
thf(555,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)],[493]) ).
thf(556,plain,
( ( ! [SX0: refine424419629nres_a,SX1: refine424419629nres_a] :
( ~ ( ord_le519537037nres_a @ SX0 @ SX1 )
| ~ ( ord_le519537037nres_a @ SX1 @ SX0 )
| ( SX0 = SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[479]) ).
thf(557,plain,
( ( ! [SX0: refine424419629nres_a,SX1: set_Product_prod_a_a,SX2: refine424419629nres_a,SX3: set_Product_prod_a_a,SX4: refine424419629nres_a] :
( ~ ( ord_le519537037nres_a @ SX0 @ ( refine1441824853un_a_a @ SX1 @ SX2 ) )
| ~ ( ord_le519537037nres_a @ SX2 @ ( refine1441824853un_a_a @ SX3 @ SX4 ) )
| ( ord_le519537037nres_a @ SX0 @ ( refine1441824853un_a_a @ SX1 @ ( refine1441824853un_a_a @ SX3 @ SX4 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[456]) ).
thf(558,plain,
( ( ! [SX0: refine424419629nres_a,SX1: refine424419629nres_a] :
( ~ ( ord_le519537037nres_a @ SX0 @ SX1 )
| ~ ( refine412683989fail_a @ SX1 )
| ( refine412683989fail_a @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[514]) ).
thf(559,plain,
( ( ! [SX0: refine424419629nres_a,SX1: refine424419629nres_a,SX2: refine424419629nres_a,SX3: refine424419629nres_a] :
( ( SX0 != SX1 )
| ~ ( ord_le519537037nres_a @ SX1 @ SX2 )
| ( SX2 != SX3 )
| ( ord_le519537037nres_a @ SX0 @ SX3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[503]) ).
thf(560,plain,
( ( ! [SX0: refine424419629nres_a,SX1: refine424419629nres_a > refine424419629nres_a,SX2: refine424419629nres_a,SX3: refine424419629nres_a] :
( ~ ( ord_le519537037nres_a @ SX0 @ ( SX1 @ SX2 ) )
| ~ ( ord_le519537037nres_a @ SX2 @ SX3 )
| ~ ! [SX4: refine424419629nres_a,SX5: refine424419629nres_a] :
( ~ ( ord_le519537037nres_a @ SX4 @ SX5 )
| ( ord_le519537037nres_a @ ( SX1 @ SX4 ) @ ( SX1 @ SX5 ) ) )
| ( ord_le519537037nres_a @ SX0 @ ( SX1 @ SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[497]) ).
thf(561,plain,
( ( ! [SX0: refine424419629nres_a,SX1: refine424419629nres_a] :
( ~ ( ord_le519537037nres_a @ SX0 @ SX1 )
| ~ ( ord_le519537037nres_a @ SX1 @ SX0 )
| ( SX1 = SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[474]) ).
thf(562,plain,
( ( ord_le516598614nres_a
= ( ^ [SX0: $o > refine424419629nres_a,SX1: $o > refine424419629nres_a] :
~ ( ~ ( ord_le519537037nres_a @ ( SX0 @ $false ) @ ( SX1 @ $false ) )
| ~ ( ord_le519537037nres_a @ ( SX0 @ $true ) @ ( SX1 @ $true ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[502]) ).
thf(563,plain,
( ( ! [SX0: refine424419629nres_a,SX1: refine424419629nres_a,SX2: refine424419629nres_a] :
( ( SX0 != SX1 )
| ~ ( ord_le519537037nres_a @ SX1 @ SX2 )
| ( ord_le519537037nres_a @ SX0 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[481]) ).
thf(564,plain,
( ( refine412683990fail_b
= ( ^ [SX0: refine432681134nres_b] : ( SX0 != top_to240090974nres_b ) ) )
= $true ),
inference(unfold_def,[status(thm)],[512]) ).
thf(565,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)],[496]) ).
thf(566,plain,
( ( ! [SX0: refine424419629nres_a,SX1: refine424419629nres_a] :
( ( SX0 != top_to231829469nres_a )
| ( ord_le519537037nres_a @ SX1 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[461]) ).
thf(567,plain,
( ( ! [SX0: refine424419629nres_a,SX1: refine424419629nres_a] :
( ( SX0 != SX1 )
| ( ord_le519537037nres_a @ SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[485]) ).
thf(568,plain,
( ( ( ^ [SX0: refine424419629nres_a,SX1: refine424419629nres_a] : ( SX0 = SX1 ) )
= ( ^ [SX0: refine424419629nres_a,SX1: refine424419629nres_a] :
~ ( ~ ( ord_le519537037nres_a @ SX0 @ SX1 )
| ~ ( ord_le519537037nres_a @ SX1 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[487]) ).
thf(569,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)],[492]) ).
thf(570,plain,
( ( ( ^ [SX0: refine424419629nres_a,SX1: refine424419629nres_a] : ( SX0 = SX1 ) )
= ( ^ [SX0: refine424419629nres_a,SX1: refine424419629nres_a] :
~ ( ~ ( ord_le519537037nres_a @ SX0 @ SX1 )
| ~ ( ord_le519537037nres_a @ SX1 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[482]) ).
thf(571,plain,
( ( ! [SX0: refine424419629nres_a,SX1: refine424419629nres_a,SX2: refine424419629nres_a] :
( ~ ( ord_le519537037nres_a @ SX0 @ SX1 )
| ~ ( ord_le519537037nres_a @ SX1 @ SX2 )
| ( ord_le519537037nres_a @ SX0 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[484]) ).
thf(572,plain,
( ( ! [SX0: refine424419629nres_a] :
( ~ ( ord_le519537037nres_a @ top_to231829469nres_a @ SX0 )
| ( SX0 = top_to231829469nres_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[465]) ).
thf(573,plain,
( ( ! [SX0: refine424419629nres_a,SX1: refine424419629nres_a,SX2: refine424419629nres_a > refine424419629nres_a,SX3: refine424419629nres_a] :
( ~ ( ord_le519537037nres_a @ SX0 @ SX1 )
| ( ( SX2 @ SX1 )
!= SX3 )
| ~ ! [SX4: refine424419629nres_a,SX5: refine424419629nres_a] :
( ~ ( ord_le519537037nres_a @ SX4 @ SX5 )
| ( ord_le519537037nres_a @ ( SX2 @ SX4 ) @ ( SX2 @ SX5 ) ) )
| ( ord_le519537037nres_a @ ( SX2 @ SX0 ) @ SX3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[488]) ).
thf(574,plain,
! [SV1: refine432681134nres_b] :
( ( ( ord_le527798542nres_b @ top_to240090974nres_b @ SV1 )
= ( SV1 = top_to240090974nres_b ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[444]) ).
thf(575,plain,
! [SV2: refine424419629nres_a] :
( ( ( ord_le519537037nres_a @ top_to231829469nres_a @ SV2 )
= ( SV2 = top_to231829469nres_a ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[445]) ).
thf(576,plain,
! [SV3: set_Product_prod_b_b] :
( ( ! [SY218: refine432681134nres_b] :
( ( top_to240090974nres_b
= ( refine122110613un_b_b @ SV3 @ SY218 ) )
= ( SY218 = top_to240090974nres_b ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[446]) ).
thf(577,plain,
! [SV4: set_Product_prod_a_b] :
( ( ! [SY219: refine432681134nres_b] :
( ( top_to231829469nres_a
= ( refine1441824854un_a_b @ SV4 @ SY219 ) )
= ( SY219 = top_to240090974nres_b ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[447]) ).
thf(578,plain,
! [SV5: set_Product_prod_b_b] :
( ( ! [SY220: refine432681134nres_b] :
( ( ( refine122110613un_b_b @ SV5 @ SY220 )
= top_to240090974nres_b )
= ( SY220 = top_to240090974nres_b ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[448]) ).
thf(579,plain,
! [SV6: set_Product_prod_a_b] :
( ( ! [SY221: refine432681134nres_b] :
( ( ( refine1441824854un_a_b @ SV6 @ SY221 )
= top_to231829469nres_a )
= ( SY221 = top_to240090974nres_b ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[449]) ).
thf(580,plain,
! [SV7: set_Product_prod_b_b] :
( ( ( refine122110613un_b_b @ SV7 @ top_to240090974nres_b )
= top_to240090974nres_b )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[450]) ).
thf(581,plain,
! [SV8: set_Product_prod_a_b] :
( ( ( refine1441824854un_a_b @ SV8 @ top_to240090974nres_b )
= top_to231829469nres_a )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[451]) ).
thf(582,plain,
! [SV9: refine432681134nres_b] :
( ( ord_le527798542nres_b @ SV9 @ top_to240090974nres_b )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[452]) ).
thf(583,plain,
! [SV10: refine424419629nres_a] :
( ( ord_le519537037nres_a @ SV10 @ top_to231829469nres_a )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[453]) ).
thf(584,plain,
! [SV11: refine424419629nres_a] :
( ( ord_le519537037nres_a @ SV11 @ SV11 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[458]) ).
thf(585,plain,
! [SV12: refine432681134nres_b] :
( ( ord_le527798542nres_b @ SV12 @ top_to240090974nres_b )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[459]) ).
thf(586,plain,
! [SV13: refine424419629nres_a] :
( ( ord_le519537037nres_a @ SV13 @ top_to231829469nres_a )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[460]) ).
thf(587,plain,
! [SV14: refine424419629nres_a] :
( ( ( ord_le519537037nres_a @ top_to231829469nres_a @ SV14 )
= ( SV14 = top_to231829469nres_a ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[463]) ).
thf(588,plain,
! [SV15: refine432681134nres_b] :
( ( ( ord_le527798542nres_b @ top_to240090974nres_b @ SV15 )
= ( SV15 = top_to240090974nres_b ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[464]) ).
thf(589,plain,
( ( ! [SV16: $o > refine424419629nres_a] :
( ( ord_le516598614nres_a @ SV16 )
= ( ^ [SY222: $o > refine424419629nres_a] :
! [SY223: $o] : ( ord_le519537037nres_a @ ( SV16 @ SY223 ) @ ( SY222 @ SY223 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[471]) ).
thf(590,plain,
( ( ord_le516598614nres_a
= ( ^ [F2: $o > refine424419629nres_a,G2: $o > refine424419629nres_a] :
! [X3: $o] : ( ord_le519537037nres_a @ ( F2 @ X3 ) @ ( G2 @ X3 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[471]) ).
thf(591,plain,
! [SV17: refine424419629nres_a] :
( ( ord_le519537037nres_a @ SV17 @ SV17 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[477]) ).
thf(592,plain,
! [SV18: set_Product_prod_b_b] :
( ( ( refine1964549110un_b_b @ SV18 @ top_to240090974nres_b )
= top_to240090974nres_b )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[504]) ).
thf(593,plain,
! [SV19: a] :
( ( ! [SY224: a] :
( ( ord_le519537037nres_a @ ( refine2063221604TURN_a @ SV19 ) @ ( refine2063221604TURN_a @ SY224 ) )
= ( SV19 = SY224 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[508]) ).
thf(594,plain,
( ( refine412683990fail_b @ top_to240090974nres_b )
= $false ),
inference(extcnf_not_pos,[status(thm)],[510]) ).
thf(595,plain,
! [SV20: refine432681134nres_b] :
( ( ( ~ ( refine412683990fail_b @ SV20 ) )
= ( SV20 = top_to240090974nres_b ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[513]) ).
thf(596,plain,
( ( ! [SV21: b] :
( ( refine1001002028nres_b @ top_to240090974nres_b @ SV21 )
= $true ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[516]) ).
thf(597,plain,
( ( ( refine1001002028nres_b @ top_to240090974nres_b )
= ( ^ [Uu: b] : $true ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[516]) ).
thf(598,plain,
! [SV22: b > refine432681134nres_b] :
( ( ( refine1264602246nd_b_b @ top_to240090974nres_b @ SV22 )
= top_to240090974nres_b )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[518]) ).
thf(599,plain,
! [SV23: refine432681134nres_b] :
( ( ( sup_su2042991066nres_b @ top_to240090974nres_b @ SV23 )
= top_to240090974nres_b )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[519]) ).
thf(600,plain,
! [SV24: $o] :
( ( ( SV24 = $true )
| ( SV24 = $false ) )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[520]) ).
thf(601,plain,
( ( ( $true = $true )
| ( $true = $false ) )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[520]) ).
thf(602,plain,
( ( ( $false = $true )
| ( $false = $false ) )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[520]) ).
thf(603,plain,
( ( ord_le519537037nres_a @ x @ ( refine1441824854un_a_b @ r @ top_to240090974nres_b ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[521]) ).
thf(604,plain,
! [SV25: $o > refine424419629nres_a] :
( ( ! [SY225: $o > refine424419629nres_a] :
( ~ ! [SY226: $o] : ( ord_le519537037nres_a @ ( SV25 @ SY226 ) @ ( SY225 @ SY226 ) )
| ( ord_le516598614nres_a @ SV25 @ SY225 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[522]) ).
thf(605,plain,
! [SV26: refine424419629nres_a] :
( ( ! [SY227: refine424419629nres_a] :
( ~ ( ord_le519537037nres_a @ SV26 @ SY227 )
| ~ ( ord_le519537037nres_a @ SY227 @ SV26 )
| ( SV26 = SY227 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[523]) ).
thf(606,plain,
! [SV27: refine424419629nres_a] :
( ( ! [SY228: set_Product_prod_a_b,SY229: refine432681134nres_b,SY230: refine432681134nres_b] :
( ~ ( ord_le519537037nres_a @ SV27 @ ( refine1441824854un_a_b @ SY228 @ SY229 ) )
| ~ ( ord_le527798542nres_b @ SY229 @ SY230 )
| ( ord_le519537037nres_a @ SV27 @ ( refine1441824854un_a_b @ SY228 @ SY230 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[524]) ).
thf(607,plain,
! [SV28: refine432681134nres_b] :
( ( ! [SY231: refine432681134nres_b] :
( ( SV28 != top_to240090974nres_b )
| ( ord_le527798542nres_b @ SY231 @ SV28 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[525]) ).
thf(608,plain,
! [SV29: refine424419629nres_a] :
( ( ! [SY232: refine424419629nres_a,SY233: refine424419629nres_a > refine424419629nres_a,SY234: refine424419629nres_a] :
( ~ ( ord_le519537037nres_a @ SV29 @ SY232 )
| ~ ( ord_le519537037nres_a @ ( SY233 @ SY232 ) @ SY234 )
| ~ ! [SX4: refine424419629nres_a,SX5: refine424419629nres_a] :
( ~ ( ord_le519537037nres_a @ SX4 @ SX5 )
| ( ord_le519537037nres_a @ ( SY233 @ SX4 ) @ ( SY233 @ SX5 ) ) )
| ( ord_le519537037nres_a @ ( SY233 @ SV29 ) @ SY234 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[526]) ).
thf(609,plain,
! [SV30: set_Product_prod_a_b] :
( ( ! [SY237: set_Product_prod_a_b,SY238: refine432681134nres_b] :
( ~ ( ord_le816409512od_a_b @ SV30 @ SY237 )
| ( ord_le519537037nres_a @ ( refine1441824854un_a_b @ SV30 @ SY238 ) @ ( refine1441824854un_a_b @ SY237 @ SY238 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[527]) ).
thf(610,plain,
! [SV31: $o > refine424419629nres_a] :
( ( ! [SY239: $o > refine424419629nres_a,SY240: $o] :
( ~ ( ord_le516598614nres_a @ SV31 @ SY239 )
| ( ord_le519537037nres_a @ ( SV31 @ SY240 ) @ ( SY239 @ SY240 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[528]) ).
thf(611,plain,
! [SV32: refine424419629nres_a] :
( ( ! [SY241: refine424419629nres_a,SY242: refine424419629nres_a,SY243: refine424419629nres_a,SY244: $o] :
( ~ ( ord_le519537037nres_a @ SV32 @ SY241 )
| ~ ( ord_le519537037nres_a @ SY242 @ SY243 )
| ( ord_le519537037nres_a @ ( if_Ref1724547303nres_a @ SY244 @ SV32 @ SY242 ) @ ( if_Ref1724547303nres_a @ SY244 @ SY241 @ SY243 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[529]) ).
thf(612,plain,
! [SV33: refine424419629nres_a > $o] :
( ( ! [SY245: refine424419629nres_a,SY246: refine424419629nres_a > $o] :
( ~ ( SV33 @ SY245 )
| ~ ! [SY247: refine424419629nres_a] :
( ~ ( SV33 @ SY247 )
| ( ord_le519537037nres_a @ SY247 @ SY245 ) )
| ~ ! [SY248: refine424419629nres_a] :
( ~ ( SV33 @ SY248 )
| ~ ! [SY249: refine424419629nres_a] :
( ~ ( SV33 @ SY249 )
| ( ord_le519537037nres_a @ SY249 @ SY248 ) )
| ( SY246 @ SY248 ) )
| ( SY246 @ ( order_1714329108nres_a @ SV33 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[530]) ).
thf(613,plain,
! [SV34: refine424419629nres_a] :
( ( ! [SY250: set_Product_prod_a_a,SY251: refine424419629nres_a,SY252: refine424419629nres_a] :
( ~ ( ord_le519537037nres_a @ SV34 @ ( refine1441824853un_a_a @ SY250 @ SY251 ) )
| ~ ( ord_le519537037nres_a @ SY251 @ SY252 )
| ( ord_le519537037nres_a @ SV34 @ ( refine1441824853un_a_a @ SY250 @ SY252 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[531]) ).
thf(614,plain,
! [SV35: refine424419629nres_a] :
( ( ! [SY253: refine424419629nres_a] :
( ~ ( ~ ( refine412683989fail_a @ SV35 )
| ( ord_le519537037nres_a @ SY253 @ SV35 ) )
| ( ord_le519537037nres_a @ SY253 @ SV35 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[532]) ).
thf(615,plain,
! [SV36: refine432681134nres_b] :
( ( ~ ( ( SV36 != top_to240090974nres_b ) )
| ~ ! [SY254: set_b] :
( SV36
!= ( refine1198353289_RES_b @ SY254 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[533]) ).
thf(616,plain,
( ( ! [SV37: refine424419629nres_a] :
( ( ^ [SY255: refine424419629nres_a] : ( SV37 = SY255 ) )
= ( ^ [SY256: refine424419629nres_a] :
~ ( ~ ( ord_le519537037nres_a @ SY256 @ SV37 )
| ~ ( ord_le519537037nres_a @ SV37 @ SY256 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[534]) ).
thf(617,plain,
( ( ( ^ [SX0: refine424419629nres_a,SX1: refine424419629nres_a] : ( SX0 = SX1 ) )
= ( ^ [SX0: refine424419629nres_a,SX1: refine424419629nres_a] :
~ ( ~ ( ord_le519537037nres_a @ SX1 @ SX0 )
| ~ ( ord_le519537037nres_a @ SX0 @ SX1 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[534]) ).
thf(618,plain,
! [SV38: refine424419629nres_a] :
( ( ! [SY257: refine424419629nres_a,SY258: refine424419629nres_a > refine432681134nres_b,SY259: refine432681134nres_b] :
( ~ ( ord_le519537037nres_a @ SV38 @ SY257 )
| ( ( SY258 @ SY257 )
!= SY259 )
| ~ ! [SX4: refine424419629nres_a,SX5: refine424419629nres_a] :
( ~ ( ord_le519537037nres_a @ SX4 @ SX5 )
| ( ord_le527798542nres_b @ ( SY258 @ SX4 ) @ ( SY258 @ SX5 ) ) )
| ( ord_le527798542nres_b @ ( SY258 @ SV38 ) @ SY259 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[535]) ).
thf(619,plain,
! [SV39: refine424419629nres_a] :
( ( ! [SY262: refine424419629nres_a,SY263: refine424419629nres_a] :
( ~ ( ord_le519537037nres_a @ SV39 @ SY262 )
| ~ ( ord_le519537037nres_a @ SY262 @ SY263 )
| ( ord_le519537037nres_a @ SV39 @ SY263 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[536]) ).
thf(620,plain,
! [SV40: set_b] :
( ( top_to240090974nres_b
!= ( refine1198353289_RES_b @ SV40 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[537]) ).
thf(621,plain,
! [SV41: refine424419629nres_a] :
( ( ! [SY264: refine424419629nres_a,SY265: refine424419629nres_a > refine432681134nres_b,SY266: refine432681134nres_b] :
( ~ ( ord_le519537037nres_a @ SV41 @ SY264 )
| ~ ( ord_le527798542nres_b @ ( SY265 @ SY264 ) @ SY266 )
| ~ ! [SX4: refine424419629nres_a,SX5: refine424419629nres_a] :
( ~ ( ord_le519537037nres_a @ SX4 @ SX5 )
| ( ord_le527798542nres_b @ ( SY265 @ SX4 ) @ ( SY265 @ SX5 ) ) )
| ( ord_le527798542nres_b @ ( SY265 @ SV41 ) @ SY266 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[538]) ).
thf(622,plain,
! [SV42: refine424419629nres_a] :
( ( ! [SY269: refine424419629nres_a] :
( ~ ( ord_le519537037nres_a @ SV42 @ SY269 )
| ( ( ord_le519537037nres_a @ SY269 @ SV42 )
= ( SY269 = SV42 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[539]) ).
thf(623,plain,
! [SV43: refine424419629nres_a] :
( ( ! [SY270: set_Product_prod_a_a,SY271: refine424419629nres_a,SY272: set_Product_prod_a_b,SY273: refine432681134nres_b] :
( ~ ( ord_le519537037nres_a @ SV43 @ ( refine1441824853un_a_a @ SY270 @ SY271 ) )
| ~ ( ord_le519537037nres_a @ SY271 @ ( refine1441824854un_a_b @ SY272 @ SY273 ) )
| ( ord_le519537037nres_a @ SV43 @ ( refine1441824853un_a_a @ SY270 @ ( refine1441824854un_a_b @ SY272 @ SY273 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[540]) ).
thf(624,plain,
! [SV44: refine424419629nres_a] :
( ( ! [SY274: refine424419629nres_a,SY275: a] :
( ~ ( ord_le519537037nres_a @ SV44 @ SY274 )
| ~ ( refine1001002027nres_a @ SV44 @ SY275 )
| ( refine1001002027nres_a @ SY274 @ SY275 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[541]) ).
thf(625,plain,
! [SV45: refine424419629nres_a] :
( ( ! [SY276: refine424419629nres_a,SY277: set_Product_prod_a_a,SY278: refine424419629nres_a] :
( ~ ( ord_le519537037nres_a @ SV45 @ SY276 )
| ~ ( ord_le519537037nres_a @ ( refine1136779702un_a_a @ SY277 @ SY276 ) @ SY278 )
| ( ord_le519537037nres_a @ ( refine1136779702un_a_a @ SY277 @ SV45 ) @ SY278 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[542]) ).
thf(626,plain,
! [SV46: b] :
( ( top_to240090974nres_b
!= ( refine2063221605TURN_b @ SV46 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[543]) ).
thf(627,plain,
! [SV47: refine424419629nres_a] :
( ( ! [SY279: refine424419629nres_a,SY280: refine424419629nres_a] :
( ~ ( ord_le519537037nres_a @ SV47 @ SY279 )
| ~ ( ord_le519537037nres_a @ SY280 @ SV47 )
| ( ord_le519537037nres_a @ SY280 @ SY279 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[544]) ).
thf(628,plain,
! [SV48: $o] :
( ( ! [SY281: refine424419629nres_a,SY282: refine424419629nres_a,SY283: refine424419629nres_a,SY284: refine424419629nres_a] :
( ~ ( ~ SV48
| ( ord_le519537037nres_a @ SY281 @ SY282 ) )
| ~ ( ~ ~ SV48
| ( ord_le519537037nres_a @ SY283 @ SY284 ) )
| ( ord_le519537037nres_a @ ( if_Ref1724547303nres_a @ SV48 @ SY281 @ SY283 ) @ ( if_Ref1724547303nres_a @ SV48 @ SY282 @ SY284 ) ) ) )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[545]) ).
thf(629,plain,
( ( ! [SX0: refine424419629nres_a,SX1: refine424419629nres_a,SX2: refine424419629nres_a,SX3: refine424419629nres_a] :
( ~ ( ~ $true
| ( ord_le519537037nres_a @ SX0 @ SX1 ) )
| ~ ( ~ ~ $true
| ( ord_le519537037nres_a @ SX2 @ SX3 ) )
| ( ord_le519537037nres_a @ ( if_Ref1724547303nres_a @ $true @ SX0 @ SX2 ) @ ( if_Ref1724547303nres_a @ $true @ SX1 @ SX3 ) ) ) )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[545]) ).
thf(630,plain,
( ( ! [SX0: refine424419629nres_a,SX1: refine424419629nres_a,SX2: refine424419629nres_a,SX3: refine424419629nres_a] :
( ~ ( ~ $false
| ( ord_le519537037nres_a @ SX0 @ SX1 ) )
| ~ ( ~ ~ $false
| ( ord_le519537037nres_a @ SX2 @ SX3 ) )
| ( ord_le519537037nres_a @ ( if_Ref1724547303nres_a @ $false @ SX0 @ SX2 ) @ ( if_Ref1724547303nres_a @ $false @ SX1 @ SX3 ) ) ) )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[545]) ).
thf(631,plain,
! [SV49: refine424419629nres_a] :
( ( ! [SY285: refine424419629nres_a > refine424419629nres_a,SY286: refine424419629nres_a,SY287: refine424419629nres_a] :
( ( SV49
!= ( SY285 @ SY286 ) )
| ~ ( ord_le519537037nres_a @ SY286 @ SY287 )
| ~ ! [SX4: refine424419629nres_a,SX5: refine424419629nres_a] :
( ~ ( ord_le519537037nres_a @ SX4 @ SX5 )
| ( ord_le519537037nres_a @ ( SY285 @ SX4 ) @ ( SY285 @ SX5 ) ) )
| ( ord_le519537037nres_a @ SV49 @ ( SY285 @ SY287 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[546]) ).
thf(632,plain,
! [SV50: refine424419629nres_a] :
( ( ! [SY290: refine432681134nres_b > refine424419629nres_a,SY291: refine432681134nres_b,SY292: refine432681134nres_b] :
( ~ ( ord_le519537037nres_a @ SV50 @ ( SY290 @ SY291 ) )
| ~ ( ord_le527798542nres_b @ SY291 @ SY292 )
| ~ ! [SX4: refine432681134nres_b,SX5: refine432681134nres_b] :
( ~ ( ord_le527798542nres_b @ SX4 @ SX5 )
| ( ord_le519537037nres_a @ ( SY290 @ SX4 ) @ ( SY290 @ SX5 ) ) )
| ( ord_le519537037nres_a @ SV50 @ ( SY290 @ SY292 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[547]) ).
thf(633,plain,
! [SV51: refine424419629nres_a] :
( ( ! [SY295: refine424419629nres_a,SY296: refine424419629nres_a] :
( ~ ( ord_le519537037nres_a @ SV51 @ SY295 )
| ( SY295 != SY296 )
| ( ord_le519537037nres_a @ SV51 @ SY296 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[548]) ).
thf(634,plain,
! [SV52: refine432681134nres_b] :
( ( ! [SY297: refine432681134nres_b,SY298: refine432681134nres_b > refine424419629nres_a,SY299: refine424419629nres_a] :
( ~ ( ord_le527798542nres_b @ SV52 @ SY297 )
| ( ( SY298 @ SY297 )
!= SY299 )
| ~ ! [SX4: refine432681134nres_b,SX5: refine432681134nres_b] :
( ~ ( ord_le527798542nres_b @ SX4 @ SX5 )
| ( ord_le519537037nres_a @ ( SY298 @ SX4 ) @ ( SY298 @ SX5 ) ) )
| ( ord_le519537037nres_a @ ( SY298 @ SV52 ) @ SY299 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[549]) ).
thf(635,plain,
! [SV53: refine432681134nres_b] :
( ( ( top_to240090974nres_b != SV53 )
= ( refine412683990fail_b @ SV53 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[550]) ).
thf(636,plain,
! [SV54: refine432681134nres_b] :
( ( ! [SY302: refine424419629nres_a > refine432681134nres_b,SY303: refine424419629nres_a,SY304: refine424419629nres_a] :
( ~ ( ord_le527798542nres_b @ SV54 @ ( SY302 @ SY303 ) )
| ~ ( ord_le519537037nres_a @ SY303 @ SY304 )
| ~ ! [SX4: refine424419629nres_a,SX5: refine424419629nres_a] :
( ~ ( ord_le519537037nres_a @ SX4 @ SX5 )
| ( ord_le527798542nres_b @ ( SY302 @ SX4 ) @ ( SY302 @ SX5 ) ) )
| ( ord_le527798542nres_b @ SV54 @ ( SY302 @ SY304 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[551]) ).
thf(637,plain,
! [SV55: $o > refine424419629nres_a] :
( ( ! [SY307: $o > refine424419629nres_a,SY308: $o] :
( ~ ( ord_le516598614nres_a @ SV55 @ SY307 )
| ( ord_le519537037nres_a @ ( SV55 @ SY308 ) @ ( SY307 @ SY308 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[552]) ).
thf(638,plain,
! [SV56: refine432681134nres_b] :
( ( ~ ( ord_le527798542nres_b @ top_to240090974nres_b @ SV56 )
| ( SV56 = top_to240090974nres_b ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[553]) ).
thf(639,plain,
! [SV57: refine424419629nres_a > $o] :
( ( ! [SY309: refine424419629nres_a] :
( ~ ( SV57 @ SY309 )
| ~ ! [SY310: refine424419629nres_a] :
( ~ ( SV57 @ SY310 )
| ( ord_le519537037nres_a @ SY310 @ SY309 ) )
| ( ( order_1714329108nres_a @ SV57 )
= SY309 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[554]) ).
thf(640,plain,
! [SV58: refine424419629nres_a] :
( ( ! [SY311: refine432681134nres_b > refine424419629nres_a,SY312: refine432681134nres_b,SY313: refine432681134nres_b] :
( ( SV58
!= ( SY311 @ SY312 ) )
| ~ ( ord_le527798542nres_b @ SY312 @ SY313 )
| ~ ! [SX4: refine432681134nres_b,SX5: refine432681134nres_b] :
( ~ ( ord_le527798542nres_b @ SX4 @ SX5 )
| ( ord_le519537037nres_a @ ( SY311 @ SX4 ) @ ( SY311 @ SX5 ) ) )
| ( ord_le519537037nres_a @ SV58 @ ( SY311 @ SY313 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[555]) ).
thf(641,plain,
! [SV59: refine424419629nres_a] :
( ( ! [SY316: refine424419629nres_a] :
( ~ ( ord_le519537037nres_a @ SV59 @ SY316 )
| ~ ( ord_le519537037nres_a @ SY316 @ SV59 )
| ( SV59 = SY316 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[556]) ).
thf(642,plain,
! [SV60: refine424419629nres_a] :
( ( ! [SY317: set_Product_prod_a_a,SY318: refine424419629nres_a,SY319: set_Product_prod_a_a,SY320: refine424419629nres_a] :
( ~ ( ord_le519537037nres_a @ SV60 @ ( refine1441824853un_a_a @ SY317 @ SY318 ) )
| ~ ( ord_le519537037nres_a @ SY318 @ ( refine1441824853un_a_a @ SY319 @ SY320 ) )
| ( ord_le519537037nres_a @ SV60 @ ( refine1441824853un_a_a @ SY317 @ ( refine1441824853un_a_a @ SY319 @ SY320 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[557]) ).
thf(643,plain,
! [SV61: refine424419629nres_a] :
( ( ! [SY321: refine424419629nres_a] :
( ~ ( ord_le519537037nres_a @ SV61 @ SY321 )
| ~ ( refine412683989fail_a @ SY321 )
| ( refine412683989fail_a @ SV61 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[558]) ).
thf(644,plain,
! [SV62: refine424419629nres_a] :
( ( ! [SY322: refine424419629nres_a,SY323: refine424419629nres_a,SY324: refine424419629nres_a] :
( ( SV62 != SY322 )
| ~ ( ord_le519537037nres_a @ SY322 @ SY323 )
| ( SY323 != SY324 )
| ( ord_le519537037nres_a @ SV62 @ SY324 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[559]) ).
thf(645,plain,
! [SV63: refine424419629nres_a] :
( ( ! [SY325: refine424419629nres_a > refine424419629nres_a,SY326: refine424419629nres_a,SY327: refine424419629nres_a] :
( ~ ( ord_le519537037nres_a @ SV63 @ ( SY325 @ SY326 ) )
| ~ ( ord_le519537037nres_a @ SY326 @ SY327 )
| ~ ! [SX4: refine424419629nres_a,SX5: refine424419629nres_a] :
( ~ ( ord_le519537037nres_a @ SX4 @ SX5 )
| ( ord_le519537037nres_a @ ( SY325 @ SX4 ) @ ( SY325 @ SX5 ) ) )
| ( ord_le519537037nres_a @ SV63 @ ( SY325 @ SY327 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[560]) ).
thf(646,plain,
! [SV64: refine424419629nres_a] :
( ( ! [SY330: refine424419629nres_a] :
( ~ ( ord_le519537037nres_a @ SV64 @ SY330 )
| ~ ( ord_le519537037nres_a @ SY330 @ SV64 )
| ( SY330 = SV64 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[561]) ).
thf(647,plain,
( ( ! [SV65: $o > refine424419629nres_a] :
( ( ord_le516598614nres_a @ SV65 )
= ( ^ [SY331: $o > refine424419629nres_a] :
~ ( ~ ( ord_le519537037nres_a @ ( SV65 @ $false ) @ ( SY331 @ $false ) )
| ~ ( ord_le519537037nres_a @ ( SV65 @ $true ) @ ( SY331 @ $true ) ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[562]) ).
thf(648,plain,
( ( ord_le516598614nres_a
= ( ^ [SX0: $o > refine424419629nres_a,SX1: $o > refine424419629nres_a] :
~ ( ~ ( ord_le519537037nres_a @ ( SX0 @ $false ) @ ( SX1 @ $false ) )
| ~ ( ord_le519537037nres_a @ ( SX0 @ $true ) @ ( SX1 @ $true ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[562]) ).
thf(649,plain,
! [SV66: refine424419629nres_a] :
( ( ! [SY332: refine424419629nres_a,SY333: refine424419629nres_a] :
( ( SV66 != SY332 )
| ~ ( ord_le519537037nres_a @ SY332 @ SY333 )
| ( ord_le519537037nres_a @ SV66 @ SY333 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[563]) ).
thf(650,plain,
( ( ! [SV67: refine432681134nres_b] :
( ( refine412683990fail_b @ SV67 )
= ( SV67 != top_to240090974nres_b ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[564]) ).
thf(651,plain,
( ( refine412683990fail_b
= ( ^ [SX0: refine432681134nres_b] : ( SX0 != top_to240090974nres_b ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[564]) ).
thf(652,plain,
! [SV68: refine432681134nres_b] :
( ( ! [SY334: refine432681134nres_b,SY335: refine432681134nres_b > refine424419629nres_a,SY336: refine424419629nres_a] :
( ~ ( ord_le527798542nres_b @ SV68 @ SY334 )
| ~ ( ord_le519537037nres_a @ ( SY335 @ SY334 ) @ SY336 )
| ~ ! [SX4: refine432681134nres_b,SX5: refine432681134nres_b] :
( ~ ( ord_le527798542nres_b @ SX4 @ SX5 )
| ( ord_le519537037nres_a @ ( SY335 @ SX4 ) @ ( SY335 @ SX5 ) ) )
| ( ord_le519537037nres_a @ ( SY335 @ SV68 ) @ SY336 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[565]) ).
thf(653,plain,
! [SV69: refine424419629nres_a] :
( ( ! [SY339: refine424419629nres_a] :
( ( SV69 != top_to231829469nres_a )
| ( ord_le519537037nres_a @ SY339 @ SV69 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[566]) ).
thf(654,plain,
! [SV70: refine424419629nres_a] :
( ( ! [SY340: refine424419629nres_a] :
( ( SV70 != SY340 )
| ( ord_le519537037nres_a @ SV70 @ SY340 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[567]) ).
thf(655,plain,
( ( ! [SV71: refine424419629nres_a] :
( ( ^ [SY341: refine424419629nres_a] : ( SV71 = SY341 ) )
= ( ^ [SY342: refine424419629nres_a] :
~ ( ~ ( ord_le519537037nres_a @ SV71 @ SY342 )
| ~ ( ord_le519537037nres_a @ SY342 @ SV71 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[568]) ).
thf(656,plain,
( ( ( ^ [SX0: refine424419629nres_a,SX1: refine424419629nres_a] : ( SX0 = SX1 ) )
= ( ^ [SX0: refine424419629nres_a,SX1: refine424419629nres_a] :
~ ( ~ ( ord_le519537037nres_a @ SX0 @ SX1 )
| ~ ( ord_le519537037nres_a @ SX1 @ SX0 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[568]) ).
thf(657,plain,
! [SV72: refine432681134nres_b] :
( ( ! [SY343: refine424419629nres_a > refine432681134nres_b,SY344: refine424419629nres_a,SY345: refine424419629nres_a] :
( ( SV72
!= ( SY343 @ SY344 ) )
| ~ ( ord_le519537037nres_a @ SY344 @ SY345 )
| ~ ! [SX4: refine424419629nres_a,SX5: refine424419629nres_a] :
( ~ ( ord_le519537037nres_a @ SX4 @ SX5 )
| ( ord_le527798542nres_b @ ( SY343 @ SX4 ) @ ( SY343 @ SX5 ) ) )
| ( ord_le527798542nres_b @ SV72 @ ( SY343 @ SY345 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[569]) ).
thf(658,plain,
( ( ! [SV73: refine424419629nres_a] :
( ( ^ [SY348: refine424419629nres_a] : ( SV73 = SY348 ) )
= ( ^ [SY349: refine424419629nres_a] :
~ ( ~ ( ord_le519537037nres_a @ SV73 @ SY349 )
| ~ ( ord_le519537037nres_a @ SY349 @ SV73 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[570]) ).
thf(659,plain,
( ( ( ^ [SX0: refine424419629nres_a,SX1: refine424419629nres_a] : ( SX0 = SX1 ) )
= ( ^ [SX0: refine424419629nres_a,SX1: refine424419629nres_a] :
~ ( ~ ( ord_le519537037nres_a @ SX0 @ SX1 )
| ~ ( ord_le519537037nres_a @ SX1 @ SX0 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[570]) ).
thf(660,plain,
! [SV74: refine424419629nres_a] :
( ( ! [SY350: refine424419629nres_a,SY351: refine424419629nres_a] :
( ~ ( ord_le519537037nres_a @ SV74 @ SY350 )
| ~ ( ord_le519537037nres_a @ SY350 @ SY351 )
| ( ord_le519537037nres_a @ SV74 @ SY351 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[571]) ).
thf(661,plain,
! [SV75: refine424419629nres_a] :
( ( ~ ( ord_le519537037nres_a @ top_to231829469nres_a @ SV75 )
| ( SV75 = top_to231829469nres_a ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[572]) ).
thf(662,plain,
! [SV76: refine424419629nres_a] :
( ( ! [SY352: refine424419629nres_a,SY353: refine424419629nres_a > refine424419629nres_a,SY354: refine424419629nres_a] :
( ~ ( ord_le519537037nres_a @ SV76 @ SY352 )
| ( ( SY353 @ SY352 )
!= SY354 )
| ~ ! [SX4: refine424419629nres_a,SX5: refine424419629nres_a] :
( ~ ( ord_le519537037nres_a @ SX4 @ SX5 )
| ( ord_le519537037nres_a @ ( SY353 @ SX4 ) @ ( SY353 @ SX5 ) ) )
| ( ord_le519537037nres_a @ ( SY353 @ SV76 ) @ SY354 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[573]) ).
thf(663,plain,
! [SV1: refine432681134nres_b] :
( ( ~ ( ( ord_le527798542nres_b @ top_to240090974nres_b @ SV1 )
| ( SV1 = top_to240090974nres_b ) )
| ~ ( ~ ( ord_le527798542nres_b @ top_to240090974nres_b @ SV1 )
| ( SV1 != top_to240090974nres_b ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[574]) ).
thf(664,plain,
! [SV1: refine432681134nres_b] :
( ( ( ord_le527798542nres_b @ top_to240090974nres_b @ SV1 )
= ( SV1 = top_to240090974nres_b ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[574]) ).
thf(665,plain,
! [SV2: refine424419629nres_a] :
( ( ~ ( ( ord_le519537037nres_a @ top_to231829469nres_a @ SV2 )
| ( SV2 = top_to231829469nres_a ) )
| ~ ( ~ ( ord_le519537037nres_a @ top_to231829469nres_a @ SV2 )
| ( SV2 != top_to231829469nres_a ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[575]) ).
thf(666,plain,
! [SV2: refine424419629nres_a] :
( ( ( ord_le519537037nres_a @ top_to231829469nres_a @ SV2 )
= ( SV2 = top_to231829469nres_a ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[575]) ).
thf(667,plain,
! [SV77: refine432681134nres_b,SV3: set_Product_prod_b_b] :
( ( ( top_to240090974nres_b
= ( refine122110613un_b_b @ SV3 @ SV77 ) )
= ( SV77 = top_to240090974nres_b ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[576]) ).
thf(668,plain,
! [SV78: refine432681134nres_b,SV4: set_Product_prod_a_b] :
( ( ( top_to231829469nres_a
= ( refine1441824854un_a_b @ SV4 @ SV78 ) )
= ( SV78 = top_to240090974nres_b ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[577]) ).
thf(669,plain,
! [SV79: refine432681134nres_b,SV5: set_Product_prod_b_b] :
( ( ( ( refine122110613un_b_b @ SV5 @ SV79 )
= top_to240090974nres_b )
= ( SV79 = top_to240090974nres_b ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[578]) ).
thf(670,plain,
! [SV80: refine432681134nres_b,SV6: set_Product_prod_a_b] :
( ( ( ( refine1441824854un_a_b @ SV6 @ SV80 )
= top_to231829469nres_a )
= ( SV80 = top_to240090974nres_b ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[579]) ).
thf(671,plain,
! [SV14: refine424419629nres_a] :
( ( ~ ( ( ord_le519537037nres_a @ top_to231829469nres_a @ SV14 )
| ( SV14 = top_to231829469nres_a ) )
| ~ ( ~ ( ord_le519537037nres_a @ top_to231829469nres_a @ SV14 )
| ( SV14 != top_to231829469nres_a ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[587]) ).
thf(672,plain,
! [SV14: refine424419629nres_a] :
( ( ( ord_le519537037nres_a @ top_to231829469nres_a @ SV14 )
= ( SV14 = top_to231829469nres_a ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[587]) ).
thf(673,plain,
! [SV15: refine432681134nres_b] :
( ( ~ ( ( ord_le527798542nres_b @ top_to240090974nres_b @ SV15 )
| ( SV15 = top_to240090974nres_b ) )
| ~ ( ~ ( ord_le527798542nres_b @ top_to240090974nres_b @ SV15 )
| ( SV15 != top_to240090974nres_b ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[588]) ).
thf(674,plain,
! [SV15: refine432681134nres_b] :
( ( ( ord_le527798542nres_b @ top_to240090974nres_b @ SV15 )
= ( SV15 = top_to240090974nres_b ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[588]) ).
thf(675,plain,
! [SV81: $o > refine424419629nres_a] :
( ( ( ord_le516598614nres_a @ SV81 )
= ( ^ [SY357: $o > refine424419629nres_a] :
! [SY358: $o] : ( ord_le519537037nres_a @ ( SV81 @ SY358 ) @ ( SY357 @ SY358 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[589]) ).
thf(676,plain,
! [SV82: a,SV19: a] :
( ( ( ord_le519537037nres_a @ ( refine2063221604TURN_a @ SV19 ) @ ( refine2063221604TURN_a @ SV82 ) )
= ( SV19 = SV82 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[593]) ).
thf(677,plain,
! [SV20: refine432681134nres_b] :
( ( ~ ( ~ ( refine412683990fail_b @ SV20 )
| ( SV20 = top_to240090974nres_b ) )
| ~ ( ~ ~ ( refine412683990fail_b @ SV20 )
| ( SV20 != top_to240090974nres_b ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[595]) ).
thf(678,plain,
! [SV20: refine432681134nres_b] :
( ( ( ~ ( refine412683990fail_b @ SV20 ) )
= ( SV20 = top_to240090974nres_b ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[595]) ).
thf(679,plain,
! [SV83: b] :
( ( ( refine1001002028nres_b @ top_to240090974nres_b @ SV83 )
= $true )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[596]) ).
thf(680,plain,
! [SV24: $o] :
( ( ( SV24 = $true )
= $true )
| ( ( SV24 = $false )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[600]) ).
thf(681,plain,
( ( ( $true = $true )
= $true )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[601]) ).
thf(682,plain,
( ( ( $false = $true )
= $true )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[602]) ).
thf(683,plain,
! [SV84: $o > refine424419629nres_a,SV25: $o > refine424419629nres_a] :
( ( ~ ! [SY359: $o] : ( ord_le519537037nres_a @ ( SV25 @ SY359 ) @ ( SV84 @ SY359 ) )
| ( ord_le516598614nres_a @ SV25 @ SV84 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[604]) ).
thf(684,plain,
! [SV85: refine424419629nres_a,SV26: refine424419629nres_a] :
( ( ~ ( ord_le519537037nres_a @ SV26 @ SV85 )
| ~ ( ord_le519537037nres_a @ SV85 @ SV26 )
| ( SV26 = SV85 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[605]) ).
thf(685,plain,
! [SV86: set_Product_prod_a_b,SV27: refine424419629nres_a] :
( ( ! [SY360: refine432681134nres_b,SY361: refine432681134nres_b] :
( ~ ( ord_le519537037nres_a @ SV27 @ ( refine1441824854un_a_b @ SV86 @ SY360 ) )
| ~ ( ord_le527798542nres_b @ SY360 @ SY361 )
| ( ord_le519537037nres_a @ SV27 @ ( refine1441824854un_a_b @ SV86 @ SY361 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[606]) ).
thf(686,plain,
! [SV87: refine432681134nres_b,SV28: refine432681134nres_b] :
( ( ( SV28 != top_to240090974nres_b )
| ( ord_le527798542nres_b @ SV87 @ SV28 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[607]) ).
thf(687,plain,
! [SV88: refine424419629nres_a,SV29: refine424419629nres_a] :
( ( ! [SY362: refine424419629nres_a > refine424419629nres_a,SY363: refine424419629nres_a] :
( ~ ( ord_le519537037nres_a @ SV29 @ SV88 )
| ~ ( ord_le519537037nres_a @ ( SY362 @ SV88 ) @ SY363 )
| ~ ! [SX4: refine424419629nres_a,SX5: refine424419629nres_a] :
( ~ ( ord_le519537037nres_a @ SX4 @ SX5 )
| ( ord_le519537037nres_a @ ( SY362 @ SX4 ) @ ( SY362 @ SX5 ) ) )
| ( ord_le519537037nres_a @ ( SY362 @ SV29 ) @ SY363 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[608]) ).
thf(688,plain,
! [SV89: set_Product_prod_a_b,SV30: set_Product_prod_a_b] :
( ( ! [SY366: refine432681134nres_b] :
( ~ ( ord_le816409512od_a_b @ SV30 @ SV89 )
| ( ord_le519537037nres_a @ ( refine1441824854un_a_b @ SV30 @ SY366 ) @ ( refine1441824854un_a_b @ SV89 @ SY366 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[609]) ).
thf(689,plain,
! [SV90: $o > refine424419629nres_a,SV31: $o > refine424419629nres_a] :
( ( ! [SY367: $o] :
( ~ ( ord_le516598614nres_a @ SV31 @ SV90 )
| ( ord_le519537037nres_a @ ( SV31 @ SY367 ) @ ( SV90 @ SY367 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[610]) ).
thf(690,plain,
! [SV91: refine424419629nres_a,SV32: refine424419629nres_a] :
( ( ! [SY368: refine424419629nres_a,SY369: refine424419629nres_a,SY370: $o] :
( ~ ( ord_le519537037nres_a @ SV32 @ SV91 )
| ~ ( ord_le519537037nres_a @ SY368 @ SY369 )
| ( ord_le519537037nres_a @ ( if_Ref1724547303nres_a @ SY370 @ SV32 @ SY368 ) @ ( if_Ref1724547303nres_a @ SY370 @ SV91 @ SY369 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[611]) ).
thf(691,plain,
! [SV92: refine424419629nres_a,SV33: refine424419629nres_a > $o] :
( ( ! [SY371: refine424419629nres_a > $o] :
( ~ ( SV33 @ SV92 )
| ~ ! [SY372: refine424419629nres_a] :
( ~ ( SV33 @ SY372 )
| ( ord_le519537037nres_a @ SY372 @ SV92 ) )
| ~ ! [SY248: refine424419629nres_a] :
( ~ ( SV33 @ SY248 )
| ~ ! [SY249: refine424419629nres_a] :
( ~ ( SV33 @ SY249 )
| ( ord_le519537037nres_a @ SY249 @ SY248 ) )
| ( SY371 @ SY248 ) )
| ( SY371 @ ( order_1714329108nres_a @ SV33 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[612]) ).
thf(692,plain,
! [SV93: set_Product_prod_a_a,SV34: refine424419629nres_a] :
( ( ! [SY375: refine424419629nres_a,SY376: refine424419629nres_a] :
( ~ ( ord_le519537037nres_a @ SV34 @ ( refine1441824853un_a_a @ SV93 @ SY375 ) )
| ~ ( ord_le519537037nres_a @ SY375 @ SY376 )
| ( ord_le519537037nres_a @ SV34 @ ( refine1441824853un_a_a @ SV93 @ SY376 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[613]) ).
thf(693,plain,
! [SV94: refine424419629nres_a,SV35: refine424419629nres_a] :
( ( ~ ( ~ ( refine412683989fail_a @ SV35 )
| ( ord_le519537037nres_a @ SV94 @ SV35 ) )
| ( ord_le519537037nres_a @ SV94 @ SV35 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[614]) ).
thf(694,plain,
! [SV36: refine432681134nres_b] :
( ( ( ~ ( ( SV36 != top_to240090974nres_b ) ) )
= $true )
| ( ( ~ ! [SY254: set_b] :
( SV36
!= ( refine1198353289_RES_b @ SY254 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[615]) ).
thf(695,plain,
! [SV95: refine424419629nres_a] :
( ( ( ^ [SY377: refine424419629nres_a] : ( SV95 = SY377 ) )
= ( ^ [SY378: refine424419629nres_a] :
~ ( ~ ( ord_le519537037nres_a @ SY378 @ SV95 )
| ~ ( ord_le519537037nres_a @ SV95 @ SY378 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[616]) ).
thf(696,plain,
! [SV96: refine424419629nres_a,SV38: refine424419629nres_a] :
( ( ! [SY379: refine424419629nres_a > refine432681134nres_b,SY380: refine432681134nres_b] :
( ~ ( ord_le519537037nres_a @ SV38 @ SV96 )
| ( ( SY379 @ SV96 )
!= SY380 )
| ~ ! [SX4: refine424419629nres_a,SX5: refine424419629nres_a] :
( ~ ( ord_le519537037nres_a @ SX4 @ SX5 )
| ( ord_le527798542nres_b @ ( SY379 @ SX4 ) @ ( SY379 @ SX5 ) ) )
| ( ord_le527798542nres_b @ ( SY379 @ SV38 ) @ SY380 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[618]) ).
thf(697,plain,
! [SV97: refine424419629nres_a,SV39: refine424419629nres_a] :
( ( ! [SY383: refine424419629nres_a] :
( ~ ( ord_le519537037nres_a @ SV39 @ SV97 )
| ~ ( ord_le519537037nres_a @ SV97 @ SY383 )
| ( ord_le519537037nres_a @ SV39 @ SY383 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[619]) ).
thf(698,plain,
! [SV40: set_b] :
( ( top_to240090974nres_b
= ( refine1198353289_RES_b @ SV40 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[620]) ).
thf(699,plain,
! [SV98: refine424419629nres_a,SV41: refine424419629nres_a] :
( ( ! [SY384: refine424419629nres_a > refine432681134nres_b,SY385: refine432681134nres_b] :
( ~ ( ord_le519537037nres_a @ SV41 @ SV98 )
| ~ ( ord_le527798542nres_b @ ( SY384 @ SV98 ) @ SY385 )
| ~ ! [SX4: refine424419629nres_a,SX5: refine424419629nres_a] :
( ~ ( ord_le519537037nres_a @ SX4 @ SX5 )
| ( ord_le527798542nres_b @ ( SY384 @ SX4 ) @ ( SY384 @ SX5 ) ) )
| ( ord_le527798542nres_b @ ( SY384 @ SV41 ) @ SY385 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[621]) ).
thf(700,plain,
! [SV99: refine424419629nres_a,SV42: refine424419629nres_a] :
( ( ~ ( ord_le519537037nres_a @ SV42 @ SV99 )
| ( ( ord_le519537037nres_a @ SV99 @ SV42 )
= ( SV99 = SV42 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[622]) ).
thf(701,plain,
! [SV100: set_Product_prod_a_a,SV43: refine424419629nres_a] :
( ( ! [SY388: refine424419629nres_a,SY389: set_Product_prod_a_b,SY390: refine432681134nres_b] :
( ~ ( ord_le519537037nres_a @ SV43 @ ( refine1441824853un_a_a @ SV100 @ SY388 ) )
| ~ ( ord_le519537037nres_a @ SY388 @ ( refine1441824854un_a_b @ SY389 @ SY390 ) )
| ( ord_le519537037nres_a @ SV43 @ ( refine1441824853un_a_a @ SV100 @ ( refine1441824854un_a_b @ SY389 @ SY390 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[623]) ).
thf(702,plain,
! [SV101: refine424419629nres_a,SV44: refine424419629nres_a] :
( ( ! [SY391: a] :
( ~ ( ord_le519537037nres_a @ SV44 @ SV101 )
| ~ ( refine1001002027nres_a @ SV44 @ SY391 )
| ( refine1001002027nres_a @ SV101 @ SY391 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[624]) ).
thf(703,plain,
! [SV102: refine424419629nres_a,SV45: refine424419629nres_a] :
( ( ! [SY392: set_Product_prod_a_a,SY393: refine424419629nres_a] :
( ~ ( ord_le519537037nres_a @ SV45 @ SV102 )
| ~ ( ord_le519537037nres_a @ ( refine1136779702un_a_a @ SY392 @ SV102 ) @ SY393 )
| ( ord_le519537037nres_a @ ( refine1136779702un_a_a @ SY392 @ SV45 ) @ SY393 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[625]) ).
thf(704,plain,
! [SV46: b] :
( ( top_to240090974nres_b
= ( refine2063221605TURN_b @ SV46 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[626]) ).
thf(705,plain,
! [SV103: refine424419629nres_a,SV47: refine424419629nres_a] :
( ( ! [SY394: refine424419629nres_a] :
( ~ ( ord_le519537037nres_a @ SV47 @ SV103 )
| ~ ( ord_le519537037nres_a @ SY394 @ SV47 )
| ( ord_le519537037nres_a @ SY394 @ SV103 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[627]) ).
thf(706,plain,
! [SV104: refine424419629nres_a,SV48: $o] :
( ( ! [SY395: refine424419629nres_a,SY396: refine424419629nres_a,SY397: refine424419629nres_a] :
( ~ ( ~ SV48
| ( ord_le519537037nres_a @ SV104 @ SY395 ) )
| ~ ( ~ ~ SV48
| ( ord_le519537037nres_a @ SY396 @ SY397 ) )
| ( ord_le519537037nres_a @ ( if_Ref1724547303nres_a @ SV48 @ SV104 @ SY396 ) @ ( if_Ref1724547303nres_a @ SV48 @ SY395 @ SY397 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[628]) ).
thf(707,plain,
! [SV105: refine424419629nres_a] :
( ( ! [SY398: refine424419629nres_a,SY399: refine424419629nres_a,SY400: refine424419629nres_a] :
( ~ ( ~ $true
| ( ord_le519537037nres_a @ SV105 @ SY398 ) )
| ~ ( ~ ~ $true
| ( ord_le519537037nres_a @ SY399 @ SY400 ) )
| ( ord_le519537037nres_a @ ( if_Ref1724547303nres_a @ $true @ SV105 @ SY399 ) @ ( if_Ref1724547303nres_a @ $true @ SY398 @ SY400 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[629]) ).
thf(708,plain,
! [SV106: refine424419629nres_a] :
( ( ! [SY401: refine424419629nres_a,SY402: refine424419629nres_a,SY403: refine424419629nres_a] :
( ~ ( ~ $false
| ( ord_le519537037nres_a @ SV106 @ SY401 ) )
| ~ ( ~ ~ $false
| ( ord_le519537037nres_a @ SY402 @ SY403 ) )
| ( ord_le519537037nres_a @ ( if_Ref1724547303nres_a @ $false @ SV106 @ SY402 ) @ ( if_Ref1724547303nres_a @ $false @ SY401 @ SY403 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[630]) ).
thf(709,plain,
! [SV107: refine424419629nres_a > refine424419629nres_a,SV49: refine424419629nres_a] :
( ( ! [SY404: refine424419629nres_a,SY405: refine424419629nres_a] :
( ( SV49
!= ( SV107 @ SY404 ) )
| ~ ( ord_le519537037nres_a @ SY404 @ SY405 )
| ~ ! [SY406: refine424419629nres_a,SY407: refine424419629nres_a] :
( ~ ( ord_le519537037nres_a @ SY406 @ SY407 )
| ( ord_le519537037nres_a @ ( SV107 @ SY406 ) @ ( SV107 @ SY407 ) ) )
| ( ord_le519537037nres_a @ SV49 @ ( SV107 @ SY405 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[631]) ).
thf(710,plain,
! [SV108: refine432681134nres_b > refine424419629nres_a,SV50: refine424419629nres_a] :
( ( ! [SY408: refine432681134nres_b,SY409: refine432681134nres_b] :
( ~ ( ord_le519537037nres_a @ SV50 @ ( SV108 @ SY408 ) )
| ~ ( ord_le527798542nres_b @ SY408 @ SY409 )
| ~ ! [SY410: refine432681134nres_b,SY411: refine432681134nres_b] :
( ~ ( ord_le527798542nres_b @ SY410 @ SY411 )
| ( ord_le519537037nres_a @ ( SV108 @ SY410 ) @ ( SV108 @ SY411 ) ) )
| ( ord_le519537037nres_a @ SV50 @ ( SV108 @ SY409 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[632]) ).
thf(711,plain,
! [SV109: refine424419629nres_a,SV51: refine424419629nres_a] :
( ( ! [SY412: refine424419629nres_a] :
( ~ ( ord_le519537037nres_a @ SV51 @ SV109 )
| ( SV109 != SY412 )
| ( ord_le519537037nres_a @ SV51 @ SY412 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[633]) ).
thf(712,plain,
! [SV110: refine432681134nres_b,SV52: refine432681134nres_b] :
( ( ! [SY413: refine432681134nres_b > refine424419629nres_a,SY414: refine424419629nres_a] :
( ~ ( ord_le527798542nres_b @ SV52 @ SV110 )
| ( ( SY413 @ SV110 )
!= SY414 )
| ~ ! [SX4: refine432681134nres_b,SX5: refine432681134nres_b] :
( ~ ( ord_le527798542nres_b @ SX4 @ SX5 )
| ( ord_le519537037nres_a @ ( SY413 @ SX4 ) @ ( SY413 @ SX5 ) ) )
| ( ord_le519537037nres_a @ ( SY413 @ SV52 ) @ SY414 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[634]) ).
thf(713,plain,
! [SV53: refine432681134nres_b] :
( ( ~ ( ( top_to240090974nres_b != SV53 )
| ( refine412683990fail_b @ SV53 ) )
| ~ ( ~ ( ( top_to240090974nres_b != SV53 ) )
| ~ ( refine412683990fail_b @ SV53 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[635]) ).
thf(714,plain,
! [SV53: refine432681134nres_b] :
( ( ( top_to240090974nres_b != SV53 )
= ( refine412683990fail_b @ SV53 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[635]) ).
thf(715,plain,
! [SV111: refine424419629nres_a > refine432681134nres_b,SV54: refine432681134nres_b] :
( ( ! [SY417: refine424419629nres_a,SY418: refine424419629nres_a] :
( ~ ( ord_le527798542nres_b @ SV54 @ ( SV111 @ SY417 ) )
| ~ ( ord_le519537037nres_a @ SY417 @ SY418 )
| ~ ! [SY419: refine424419629nres_a,SY420: refine424419629nres_a] :
( ~ ( ord_le519537037nres_a @ SY419 @ SY420 )
| ( ord_le527798542nres_b @ ( SV111 @ SY419 ) @ ( SV111 @ SY420 ) ) )
| ( ord_le527798542nres_b @ SV54 @ ( SV111 @ SY418 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[636]) ).
thf(716,plain,
! [SV112: $o > refine424419629nres_a,SV55: $o > refine424419629nres_a] :
( ( ! [SY421: $o] :
( ~ ( ord_le516598614nres_a @ SV55 @ SV112 )
| ( ord_le519537037nres_a @ ( SV55 @ SY421 ) @ ( SV112 @ SY421 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[637]) ).
thf(717,plain,
! [SV56: refine432681134nres_b] :
( ( ( ~ ( ord_le527798542nres_b @ top_to240090974nres_b @ SV56 ) )
= $true )
| ( ( SV56 = top_to240090974nres_b )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[638]) ).
thf(718,plain,
! [SV113: refine424419629nres_a,SV57: refine424419629nres_a > $o] :
( ( ~ ( SV57 @ SV113 )
| ~ ! [SY422: refine424419629nres_a] :
( ~ ( SV57 @ SY422 )
| ( ord_le519537037nres_a @ SY422 @ SV113 ) )
| ( ( order_1714329108nres_a @ SV57 )
= SV113 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[639]) ).
thf(719,plain,
! [SV114: refine432681134nres_b > refine424419629nres_a,SV58: refine424419629nres_a] :
( ( ! [SY423: refine432681134nres_b,SY424: refine432681134nres_b] :
( ( SV58
!= ( SV114 @ SY423 ) )
| ~ ( ord_le527798542nres_b @ SY423 @ SY424 )
| ~ ! [SY425: refine432681134nres_b,SY426: refine432681134nres_b] :
( ~ ( ord_le527798542nres_b @ SY425 @ SY426 )
| ( ord_le519537037nres_a @ ( SV114 @ SY425 ) @ ( SV114 @ SY426 ) ) )
| ( ord_le519537037nres_a @ SV58 @ ( SV114 @ SY424 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[640]) ).
thf(720,plain,
! [SV115: refine424419629nres_a,SV59: refine424419629nres_a] :
( ( ~ ( ord_le519537037nres_a @ SV59 @ SV115 )
| ~ ( ord_le519537037nres_a @ SV115 @ SV59 )
| ( SV59 = SV115 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[641]) ).
thf(721,plain,
! [SV116: set_Product_prod_a_a,SV60: refine424419629nres_a] :
( ( ! [SY427: refine424419629nres_a,SY428: set_Product_prod_a_a,SY429: refine424419629nres_a] :
( ~ ( ord_le519537037nres_a @ SV60 @ ( refine1441824853un_a_a @ SV116 @ SY427 ) )
| ~ ( ord_le519537037nres_a @ SY427 @ ( refine1441824853un_a_a @ SY428 @ SY429 ) )
| ( ord_le519537037nres_a @ SV60 @ ( refine1441824853un_a_a @ SV116 @ ( refine1441824853un_a_a @ SY428 @ SY429 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[642]) ).
thf(722,plain,
! [SV117: refine424419629nres_a,SV61: refine424419629nres_a] :
( ( ~ ( ord_le519537037nres_a @ SV61 @ SV117 )
| ~ ( refine412683989fail_a @ SV117 )
| ( refine412683989fail_a @ SV61 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[643]) ).
thf(723,plain,
! [SV118: refine424419629nres_a,SV62: refine424419629nres_a] :
( ( ! [SY430: refine424419629nres_a,SY431: refine424419629nres_a] :
( ( SV62 != SV118 )
| ~ ( ord_le519537037nres_a @ SV118 @ SY430 )
| ( SY430 != SY431 )
| ( ord_le519537037nres_a @ SV62 @ SY431 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[644]) ).
thf(724,plain,
! [SV119: refine424419629nres_a > refine424419629nres_a,SV63: refine424419629nres_a] :
( ( ! [SY432: refine424419629nres_a,SY433: refine424419629nres_a] :
( ~ ( ord_le519537037nres_a @ SV63 @ ( SV119 @ SY432 ) )
| ~ ( ord_le519537037nres_a @ SY432 @ SY433 )
| ~ ! [SY434: refine424419629nres_a,SY435: refine424419629nres_a] :
( ~ ( ord_le519537037nres_a @ SY434 @ SY435 )
| ( ord_le519537037nres_a @ ( SV119 @ SY434 ) @ ( SV119 @ SY435 ) ) )
| ( ord_le519537037nres_a @ SV63 @ ( SV119 @ SY433 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[645]) ).
thf(725,plain,
! [SV120: refine424419629nres_a,SV64: refine424419629nres_a] :
( ( ~ ( ord_le519537037nres_a @ SV64 @ SV120 )
| ~ ( ord_le519537037nres_a @ SV120 @ SV64 )
| ( SV120 = SV64 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[646]) ).
thf(726,plain,
! [SV121: $o > refine424419629nres_a] :
( ( ( ord_le516598614nres_a @ SV121 )
= ( ^ [SY436: $o > refine424419629nres_a] :
~ ( ~ ( ord_le519537037nres_a @ ( SV121 @ $false ) @ ( SY436 @ $false ) )
| ~ ( ord_le519537037nres_a @ ( SV121 @ $true ) @ ( SY436 @ $true ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[647]) ).
thf(727,plain,
! [SV122: refine424419629nres_a,SV66: refine424419629nres_a] :
( ( ! [SY437: refine424419629nres_a] :
( ( SV66 != SV122 )
| ~ ( ord_le519537037nres_a @ SV122 @ SY437 )
| ( ord_le519537037nres_a @ SV66 @ SY437 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[649]) ).
thf(728,plain,
! [SV123: refine432681134nres_b] :
( ( ( refine412683990fail_b @ SV123 )
= ( SV123 != top_to240090974nres_b ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[650]) ).
thf(729,plain,
! [SV124: refine432681134nres_b,SV68: refine432681134nres_b] :
( ( ! [SY438: refine432681134nres_b > refine424419629nres_a,SY439: refine424419629nres_a] :
( ~ ( ord_le527798542nres_b @ SV68 @ SV124 )
| ~ ( ord_le519537037nres_a @ ( SY438 @ SV124 ) @ SY439 )
| ~ ! [SX4: refine432681134nres_b,SX5: refine432681134nres_b] :
( ~ ( ord_le527798542nres_b @ SX4 @ SX5 )
| ( ord_le519537037nres_a @ ( SY438 @ SX4 ) @ ( SY438 @ SX5 ) ) )
| ( ord_le519537037nres_a @ ( SY438 @ SV68 ) @ SY439 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[652]) ).
thf(730,plain,
! [SV125: refine424419629nres_a,SV69: refine424419629nres_a] :
( ( ( SV69 != top_to231829469nres_a )
| ( ord_le519537037nres_a @ SV125 @ SV69 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[653]) ).
thf(731,plain,
! [SV126: refine424419629nres_a,SV70: refine424419629nres_a] :
( ( ( SV70 != SV126 )
| ( ord_le519537037nres_a @ SV70 @ SV126 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[654]) ).
thf(732,plain,
! [SV127: refine424419629nres_a] :
( ( ( ^ [SY442: refine424419629nres_a] : ( SV127 = SY442 ) )
= ( ^ [SY443: refine424419629nres_a] :
~ ( ~ ( ord_le519537037nres_a @ SV127 @ SY443 )
| ~ ( ord_le519537037nres_a @ SY443 @ SV127 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[655]) ).
thf(733,plain,
! [SV128: refine424419629nres_a > refine432681134nres_b,SV72: refine432681134nres_b] :
( ( ! [SY444: refine424419629nres_a,SY445: refine424419629nres_a] :
( ( SV72
!= ( SV128 @ SY444 ) )
| ~ ( ord_le519537037nres_a @ SY444 @ SY445 )
| ~ ! [SY446: refine424419629nres_a,SY447: refine424419629nres_a] :
( ~ ( ord_le519537037nres_a @ SY446 @ SY447 )
| ( ord_le527798542nres_b @ ( SV128 @ SY446 ) @ ( SV128 @ SY447 ) ) )
| ( ord_le527798542nres_b @ SV72 @ ( SV128 @ SY445 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[657]) ).
thf(734,plain,
! [SV129: refine424419629nres_a] :
( ( ( ^ [SY448: refine424419629nres_a] : ( SV129 = SY448 ) )
= ( ^ [SY449: refine424419629nres_a] :
~ ( ~ ( ord_le519537037nres_a @ SV129 @ SY449 )
| ~ ( ord_le519537037nres_a @ SY449 @ SV129 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[658]) ).
thf(735,plain,
! [SV130: refine424419629nres_a,SV74: refine424419629nres_a] :
( ( ! [SY450: refine424419629nres_a] :
( ~ ( ord_le519537037nres_a @ SV74 @ SV130 )
| ~ ( ord_le519537037nres_a @ SV130 @ SY450 )
| ( ord_le519537037nres_a @ SV74 @ SY450 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[660]) ).
thf(736,plain,
! [SV75: refine424419629nres_a] :
( ( ( ~ ( ord_le519537037nres_a @ top_to231829469nres_a @ SV75 ) )
= $true )
| ( ( SV75 = top_to231829469nres_a )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[661]) ).
thf(737,plain,
! [SV131: refine424419629nres_a,SV76: refine424419629nres_a] :
( ( ! [SY451: refine424419629nres_a > refine424419629nres_a,SY452: refine424419629nres_a] :
( ~ ( ord_le519537037nres_a @ SV76 @ SV131 )
| ( ( SY451 @ SV131 )
!= SY452 )
| ~ ! [SX4: refine424419629nres_a,SX5: refine424419629nres_a] :
( ~ ( ord_le519537037nres_a @ SX4 @ SX5 )
| ( ord_le519537037nres_a @ ( SY451 @ SX4 ) @ ( SY451 @ SX5 ) ) )
| ( ord_le519537037nres_a @ ( SY451 @ SV76 ) @ SY452 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[662]) ).
thf(738,plain,
! [SV1: refine432681134nres_b] :
( ( ( ~ ( ( ord_le527798542nres_b @ top_to240090974nres_b @ SV1 )
| ( SV1 = top_to240090974nres_b ) ) )
= $true )
| ( ( ~ ( ~ ( ord_le527798542nres_b @ top_to240090974nres_b @ SV1 )
| ( SV1 != top_to240090974nres_b ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[663]) ).
thf(739,plain,
! [SV2: refine424419629nres_a] :
( ( ( ~ ( ( ord_le519537037nres_a @ top_to231829469nres_a @ SV2 )
| ( SV2 = top_to231829469nres_a ) ) )
= $true )
| ( ( ~ ( ~ ( ord_le519537037nres_a @ top_to231829469nres_a @ SV2 )
| ( SV2 != top_to231829469nres_a ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[665]) ).
thf(740,plain,
! [SV77: refine432681134nres_b,SV3: set_Product_prod_b_b] :
( ( ~ ( ( top_to240090974nres_b
= ( refine122110613un_b_b @ SV3 @ SV77 ) )
| ( SV77 = top_to240090974nres_b ) )
| ~ ( ( top_to240090974nres_b
!= ( refine122110613un_b_b @ SV3 @ SV77 ) )
| ( SV77 != top_to240090974nres_b ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[667]) ).
thf(741,plain,
! [SV77: refine432681134nres_b,SV3: set_Product_prod_b_b] :
( ( ( top_to240090974nres_b
= ( refine122110613un_b_b @ SV3 @ SV77 ) )
= ( SV77 = top_to240090974nres_b ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[667]) ).
thf(742,plain,
! [SV78: refine432681134nres_b,SV4: set_Product_prod_a_b] :
( ( ~ ( ( top_to231829469nres_a
= ( refine1441824854un_a_b @ SV4 @ SV78 ) )
| ( SV78 = top_to240090974nres_b ) )
| ~ ( ( top_to231829469nres_a
!= ( refine1441824854un_a_b @ SV4 @ SV78 ) )
| ( SV78 != top_to240090974nres_b ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[668]) ).
thf(743,plain,
! [SV78: refine432681134nres_b,SV4: set_Product_prod_a_b] :
( ( ( top_to231829469nres_a
= ( refine1441824854un_a_b @ SV4 @ SV78 ) )
= ( SV78 = top_to240090974nres_b ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[668]) ).
thf(744,plain,
! [SV79: refine432681134nres_b,SV5: set_Product_prod_b_b] :
( ( ~ ( ( ( refine122110613un_b_b @ SV5 @ SV79 )
= top_to240090974nres_b )
| ( SV79 = top_to240090974nres_b ) )
| ~ ( ( ( refine122110613un_b_b @ SV5 @ SV79 )
!= top_to240090974nres_b )
| ( SV79 != top_to240090974nres_b ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[669]) ).
thf(745,plain,
! [SV79: refine432681134nres_b,SV5: set_Product_prod_b_b] :
( ( ( ( refine122110613un_b_b @ SV5 @ SV79 )
= top_to240090974nres_b )
= ( SV79 = top_to240090974nres_b ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[669]) ).
thf(746,plain,
! [SV80: refine432681134nres_b,SV6: set_Product_prod_a_b] :
( ( ~ ( ( ( refine1441824854un_a_b @ SV6 @ SV80 )
= top_to231829469nres_a )
| ( SV80 = top_to240090974nres_b ) )
| ~ ( ( ( refine1441824854un_a_b @ SV6 @ SV80 )
!= top_to231829469nres_a )
| ( SV80 != top_to240090974nres_b ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[670]) ).
thf(747,plain,
! [SV80: refine432681134nres_b,SV6: set_Product_prod_a_b] :
( ( ( ( refine1441824854un_a_b @ SV6 @ SV80 )
= top_to231829469nres_a )
= ( SV80 = top_to240090974nres_b ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[670]) ).
thf(748,plain,
! [SV14: refine424419629nres_a] :
( ( ( ~ ( ( ord_le519537037nres_a @ top_to231829469nres_a @ SV14 )
| ( SV14 = top_to231829469nres_a ) ) )
= $true )
| ( ( ~ ( ~ ( ord_le519537037nres_a @ top_to231829469nres_a @ SV14 )
| ( SV14 != top_to231829469nres_a ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[671]) ).
thf(749,plain,
! [SV15: refine432681134nres_b] :
( ( ( ~ ( ( ord_le527798542nres_b @ top_to240090974nres_b @ SV15 )
| ( SV15 = top_to240090974nres_b ) ) )
= $true )
| ( ( ~ ( ~ ( ord_le527798542nres_b @ top_to240090974nres_b @ SV15 )
| ( SV15 != top_to240090974nres_b ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[673]) ).
thf(750,plain,
! [SV81: $o > refine424419629nres_a] :
( ( ! [SV132: $o > refine424419629nres_a] :
( ( ord_le516598614nres_a @ SV81 @ SV132 )
= ( ! [SY455: $o] : ( ord_le519537037nres_a @ ( SV81 @ SY455 ) @ ( SV132 @ SY455 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[675]) ).
thf(751,plain,
! [SV81: $o > refine424419629nres_a] :
( ( ( ord_le516598614nres_a @ SV81 )
= ( ^ [SY357: $o > refine424419629nres_a] :
! [SY358: $o] : ( ord_le519537037nres_a @ ( SV81 @ SY358 ) @ ( SY357 @ SY358 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[675]) ).
thf(752,plain,
! [SV82: a,SV19: a] :
( ( ~ ( ( ord_le519537037nres_a @ ( refine2063221604TURN_a @ SV19 ) @ ( refine2063221604TURN_a @ SV82 ) )
| ( SV19 = SV82 ) )
| ~ ( ~ ( ord_le519537037nres_a @ ( refine2063221604TURN_a @ SV19 ) @ ( refine2063221604TURN_a @ SV82 ) )
| ( SV19 != SV82 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[676]) ).
thf(753,plain,
! [SV82: a,SV19: a] :
( ( ( ord_le519537037nres_a @ ( refine2063221604TURN_a @ SV19 ) @ ( refine2063221604TURN_a @ SV82 ) )
= ( SV19 = SV82 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[676]) ).
thf(754,plain,
! [SV20: refine432681134nres_b] :
( ( ( ~ ( ~ ( refine412683990fail_b @ SV20 )
| ( SV20 = top_to240090974nres_b ) ) )
= $true )
| ( ( ~ ( ~ ~ ( refine412683990fail_b @ SV20 )
| ( SV20 != top_to240090974nres_b ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[677]) ).
thf(755,plain,
! [SV83: b] :
( ( ~ ( ( refine1001002028nres_b @ top_to240090974nres_b @ SV83 )
| $true )
| ~ ( ~ ( refine1001002028nres_b @ top_to240090974nres_b @ SV83 )
| ~ $true ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[679]) ).
thf(756,plain,
! [SV83: b] :
( ( ( refine1001002028nres_b @ top_to240090974nres_b @ SV83 )
= $true )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[679]) ).
thf(757,plain,
! [SV24: $o] :
( ( ( ~ ( SV24
| $true )
| ~ ( ~ SV24
| ~ $true ) )
= $true )
| ( ( SV24 = $false )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[680]) ).
thf(758,plain,
! [SV24: $o] :
( ( ( SV24 = $true )
= $true )
| ( ( SV24 = $false )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[680]) ).
thf(759,plain,
( ( ( ~ ( $true
| $true )
| ~ ( ~ $true
| ~ $true ) )
= $true )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[681]) ).
thf(760,plain,
( ( ( $true = $true )
= $true )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[681]) ).
thf(761,plain,
( ( ( ~ ( $false
| $true )
| ~ ( ~ $false
| ~ $true ) )
= $true )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[682]) ).
thf(762,plain,
( ( ( $false = $true )
= $true )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[682]) ).
thf(763,plain,
! [SV84: $o > refine424419629nres_a,SV25: $o > refine424419629nres_a] :
( ( ( ~ ! [SY359: $o] : ( ord_le519537037nres_a @ ( SV25 @ SY359 ) @ ( SV84 @ SY359 ) ) )
= $true )
| ( ( ord_le516598614nres_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[683]) ).
thf(764,plain,
! [SV85: refine424419629nres_a,SV26: refine424419629nres_a] :
( ( ( ~ ( ord_le519537037nres_a @ SV26 @ SV85 ) )
= $true )
| ( ( ~ ( ord_le519537037nres_a @ SV85 @ SV26 )
| ( SV26 = SV85 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[684]) ).
thf(765,plain,
! [SV133: refine432681134nres_b,SV86: set_Product_prod_a_b,SV27: refine424419629nres_a] :
( ( ! [SY456: refine432681134nres_b] :
( ~ ( ord_le519537037nres_a @ SV27 @ ( refine1441824854un_a_b @ SV86 @ SV133 ) )
| ~ ( ord_le527798542nres_b @ SV133 @ SY456 )
| ( ord_le519537037nres_a @ SV27 @ ( refine1441824854un_a_b @ SV86 @ SY456 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[685]) ).
thf(766,plain,
! [SV87: refine432681134nres_b,SV28: refine432681134nres_b] :
( ( ( SV28 != top_to240090974nres_b )
= $true )
| ( ( ord_le527798542nres_b @ SV87 @ SV28 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[686]) ).
thf(767,plain,
! [SV134: refine424419629nres_a > refine424419629nres_a,SV88: refine424419629nres_a,SV29: refine424419629nres_a] :
( ( ! [SY457: refine424419629nres_a] :
( ~ ( ord_le519537037nres_a @ SV29 @ SV88 )
| ~ ( ord_le519537037nres_a @ ( SV134 @ SV88 ) @ SY457 )
| ~ ! [SY458: refine424419629nres_a,SY459: refine424419629nres_a] :
( ~ ( ord_le519537037nres_a @ SY458 @ SY459 )
| ( ord_le519537037nres_a @ ( SV134 @ SY458 ) @ ( SV134 @ SY459 ) ) )
| ( ord_le519537037nres_a @ ( SV134 @ SV29 ) @ SY457 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[687]) ).
thf(768,plain,
! [SV135: refine432681134nres_b,SV89: set_Product_prod_a_b,SV30: set_Product_prod_a_b] :
( ( ~ ( ord_le816409512od_a_b @ SV30 @ SV89 )
| ( ord_le519537037nres_a @ ( refine1441824854un_a_b @ SV30 @ SV135 ) @ ( refine1441824854un_a_b @ SV89 @ SV135 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[688]) ).
thf(769,plain,
! [SV136: $o,SV90: $o > refine424419629nres_a,SV31: $o > refine424419629nres_a] :
( ( ~ ( ord_le516598614nres_a @ SV31 @ SV90 )
| ( ord_le519537037nres_a @ ( SV31 @ SV136 ) @ ( SV90 @ SV136 ) ) )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[689]) ).
thf(770,plain,
! [SV90: $o > refine424419629nres_a,SV31: $o > refine424419629nres_a] :
( ( ~ ( ord_le516598614nres_a @ SV31 @ SV90 )
| ( ord_le519537037nres_a @ ( SV31 @ $true ) @ ( SV90 @ $true ) ) )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[689]) ).
thf(771,plain,
! [SV90: $o > refine424419629nres_a,SV31: $o > refine424419629nres_a] :
( ( ~ ( ord_le516598614nres_a @ SV31 @ SV90 )
| ( ord_le519537037nres_a @ ( SV31 @ $false ) @ ( SV90 @ $false ) ) )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[689]) ).
thf(772,plain,
! [SV137: refine424419629nres_a,SV91: refine424419629nres_a,SV32: refine424419629nres_a] :
( ( ! [SY460: refine424419629nres_a,SY461: $o] :
( ~ ( ord_le519537037nres_a @ SV32 @ SV91 )
| ~ ( ord_le519537037nres_a @ SV137 @ SY460 )
| ( ord_le519537037nres_a @ ( if_Ref1724547303nres_a @ SY461 @ SV32 @ SV137 ) @ ( if_Ref1724547303nres_a @ SY461 @ SV91 @ SY460 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[690]) ).
thf(773,plain,
! [SV138: refine424419629nres_a > $o,SV92: refine424419629nres_a,SV33: refine424419629nres_a > $o] :
( ( ~ ( SV33 @ SV92 )
| ~ ! [SY372: refine424419629nres_a] :
( ~ ( SV33 @ SY372 )
| ( ord_le519537037nres_a @ SY372 @ SV92 ) )
| ~ ! [SY463: refine424419629nres_a] :
( ~ ( SV33 @ SY463 )
| ~ ! [SY249: refine424419629nres_a] :
( ~ ( SV33 @ SY249 )
| ( ord_le519537037nres_a @ SY249 @ SY463 ) )
| ( SV138 @ SY463 ) )
| ( SV138 @ ( order_1714329108nres_a @ SV33 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[691]) ).
thf(774,plain,
! [SV139: refine424419629nres_a,SV93: set_Product_prod_a_a,SV34: refine424419629nres_a] :
( ( ! [SY465: refine424419629nres_a] :
( ~ ( ord_le519537037nres_a @ SV34 @ ( refine1441824853un_a_a @ SV93 @ SV139 ) )
| ~ ( ord_le519537037nres_a @ SV139 @ SY465 )
| ( ord_le519537037nres_a @ SV34 @ ( refine1441824853un_a_a @ SV93 @ SY465 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[692]) ).
thf(775,plain,
! [SV94: refine424419629nres_a,SV35: refine424419629nres_a] :
( ( ( ~ ( ~ ( refine412683989fail_a @ SV35 )
| ( ord_le519537037nres_a @ SV94 @ SV35 ) ) )
= $true )
| ( ( ord_le519537037nres_a @ SV94 @ SV35 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[693]) ).
thf(776,plain,
! [SV36: refine432681134nres_b] :
( ( ( SV36 != top_to240090974nres_b )
= $false )
| ( ( ~ ! [SY254: set_b] :
( SV36
!= ( refine1198353289_RES_b @ SY254 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[694]) ).
thf(777,plain,
! [SV95: refine424419629nres_a] :
( ( ! [SV140: refine424419629nres_a] :
( ( SV95 = SV140 )
= ( ~ ( ~ ( ord_le519537037nres_a @ SV140 @ SV95 )
| ~ ( ord_le519537037nres_a @ SV95 @ SV140 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[695]) ).
thf(778,plain,
! [SV95: refine424419629nres_a] :
( ( ( ^ [SY377: refine424419629nres_a] : ( SV95 = SY377 ) )
= ( ^ [SY378: refine424419629nres_a] :
~ ( ~ ( ord_le519537037nres_a @ SY378 @ SV95 )
| ~ ( ord_le519537037nres_a @ SV95 @ SY378 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[695]) ).
thf(779,plain,
! [SV141: refine424419629nres_a > refine432681134nres_b,SV96: refine424419629nres_a,SV38: refine424419629nres_a] :
( ( ! [SY466: refine432681134nres_b] :
( ~ ( ord_le519537037nres_a @ SV38 @ SV96 )
| ( ( SV141 @ SV96 )
!= SY466 )
| ~ ! [SY467: refine424419629nres_a,SY468: refine424419629nres_a] :
( ~ ( ord_le519537037nres_a @ SY467 @ SY468 )
| ( ord_le527798542nres_b @ ( SV141 @ SY467 ) @ ( SV141 @ SY468 ) ) )
| ( ord_le527798542nres_b @ ( SV141 @ SV38 ) @ SY466 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[696]) ).
thf(780,plain,
! [SV142: refine424419629nres_a,SV97: refine424419629nres_a,SV39: refine424419629nres_a] :
( ( ~ ( ord_le519537037nres_a @ SV39 @ SV97 )
| ~ ( ord_le519537037nres_a @ SV97 @ SV142 )
| ( ord_le519537037nres_a @ SV39 @ SV142 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[697]) ).
thf(781,plain,
! [SV143: refine424419629nres_a > refine432681134nres_b,SV98: refine424419629nres_a,SV41: refine424419629nres_a] :
( ( ! [SY469: refine432681134nres_b] :
( ~ ( ord_le519537037nres_a @ SV41 @ SV98 )
| ~ ( ord_le527798542nres_b @ ( SV143 @ SV98 ) @ SY469 )
| ~ ! [SY470: refine424419629nres_a,SY471: refine424419629nres_a] :
( ~ ( ord_le519537037nres_a @ SY470 @ SY471 )
| ( ord_le527798542nres_b @ ( SV143 @ SY470 ) @ ( SV143 @ SY471 ) ) )
| ( ord_le527798542nres_b @ ( SV143 @ SV41 ) @ SY469 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[699]) ).
thf(782,plain,
! [SV99: refine424419629nres_a,SV42: refine424419629nres_a] :
( ( ( ~ ( ord_le519537037nres_a @ SV42 @ SV99 ) )
= $true )
| ( ( ( ord_le519537037nres_a @ SV99 @ SV42 )
= ( SV99 = SV42 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[700]) ).
thf(783,plain,
! [SV144: refine424419629nres_a,SV100: set_Product_prod_a_a,SV43: refine424419629nres_a] :
( ( ! [SY472: set_Product_prod_a_b,SY473: refine432681134nres_b] :
( ~ ( ord_le519537037nres_a @ SV43 @ ( refine1441824853un_a_a @ SV100 @ SV144 ) )
| ~ ( ord_le519537037nres_a @ SV144 @ ( refine1441824854un_a_b @ SY472 @ SY473 ) )
| ( ord_le519537037nres_a @ SV43 @ ( refine1441824853un_a_a @ SV100 @ ( refine1441824854un_a_b @ SY472 @ SY473 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[701]) ).
thf(784,plain,
! [SV145: a,SV101: refine424419629nres_a,SV44: refine424419629nres_a] :
( ( ~ ( ord_le519537037nres_a @ SV44 @ SV101 )
| ~ ( refine1001002027nres_a @ SV44 @ SV145 )
| ( refine1001002027nres_a @ SV101 @ SV145 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[702]) ).
thf(785,plain,
! [SV146: set_Product_prod_a_a,SV102: refine424419629nres_a,SV45: refine424419629nres_a] :
( ( ! [SY474: refine424419629nres_a] :
( ~ ( ord_le519537037nres_a @ SV45 @ SV102 )
| ~ ( ord_le519537037nres_a @ ( refine1136779702un_a_a @ SV146 @ SV102 ) @ SY474 )
| ( ord_le519537037nres_a @ ( refine1136779702un_a_a @ SV146 @ SV45 ) @ SY474 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[703]) ).
thf(786,plain,
! [SV147: refine424419629nres_a,SV103: refine424419629nres_a,SV47: refine424419629nres_a] :
( ( ~ ( ord_le519537037nres_a @ SV47 @ SV103 )
| ~ ( ord_le519537037nres_a @ SV147 @ SV47 )
| ( ord_le519537037nres_a @ SV147 @ SV103 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[705]) ).
thf(787,plain,
! [SV148: refine424419629nres_a,SV104: refine424419629nres_a,SV48: $o] :
( ( ! [SY475: refine424419629nres_a,SY476: refine424419629nres_a] :
( ~ ( ~ SV48
| ( ord_le519537037nres_a @ SV104 @ SV148 ) )
| ~ ( ~ ~ SV48
| ( ord_le519537037nres_a @ SY475 @ SY476 ) )
| ( ord_le519537037nres_a @ ( if_Ref1724547303nres_a @ SV48 @ SV104 @ SY475 ) @ ( if_Ref1724547303nres_a @ SV48 @ SV148 @ SY476 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[706]) ).
thf(788,plain,
! [SV149: refine424419629nres_a,SV105: refine424419629nres_a] :
( ( ! [SY477: refine424419629nres_a,SY478: refine424419629nres_a] :
( ~ ( ~ $true
| ( ord_le519537037nres_a @ SV105 @ SV149 ) )
| ~ ( ~ ~ $true
| ( ord_le519537037nres_a @ SY477 @ SY478 ) )
| ( ord_le519537037nres_a @ ( if_Ref1724547303nres_a @ $true @ SV105 @ SY477 ) @ ( if_Ref1724547303nres_a @ $true @ SV149 @ SY478 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[707]) ).
thf(789,plain,
! [SV150: refine424419629nres_a,SV106: refine424419629nres_a] :
( ( ! [SY479: refine424419629nres_a,SY480: refine424419629nres_a] :
( ~ ( ~ $false
| ( ord_le519537037nres_a @ SV106 @ SV150 ) )
| ~ ( ~ ~ $false
| ( ord_le519537037nres_a @ SY479 @ SY480 ) )
| ( ord_le519537037nres_a @ ( if_Ref1724547303nres_a @ $false @ SV106 @ SY479 ) @ ( if_Ref1724547303nres_a @ $false @ SV150 @ SY480 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[708]) ).
thf(790,plain,
! [SV151: refine424419629nres_a,SV107: refine424419629nres_a > refine424419629nres_a,SV49: refine424419629nres_a] :
( ( ! [SY481: refine424419629nres_a] :
( ( SV49
!= ( SV107 @ SV151 ) )
| ~ ( ord_le519537037nres_a @ SV151 @ SY481 )
| ~ ! [SY406: refine424419629nres_a,SY407: refine424419629nres_a] :
( ~ ( ord_le519537037nres_a @ SY406 @ SY407 )
| ( ord_le519537037nres_a @ ( SV107 @ SY406 ) @ ( SV107 @ SY407 ) ) )
| ( ord_le519537037nres_a @ SV49 @ ( SV107 @ SY481 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[709]) ).
thf(791,plain,
! [SV152: refine432681134nres_b,SV108: refine432681134nres_b > refine424419629nres_a,SV50: refine424419629nres_a] :
( ( ! [SY484: refine432681134nres_b] :
( ~ ( ord_le519537037nres_a @ SV50 @ ( SV108 @ SV152 ) )
| ~ ( ord_le527798542nres_b @ SV152 @ SY484 )
| ~ ! [SY410: refine432681134nres_b,SY411: refine432681134nres_b] :
( ~ ( ord_le527798542nres_b @ SY410 @ SY411 )
| ( ord_le519537037nres_a @ ( SV108 @ SY410 ) @ ( SV108 @ SY411 ) ) )
| ( ord_le519537037nres_a @ SV50 @ ( SV108 @ SY484 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[710]) ).
thf(792,plain,
! [SV153: refine424419629nres_a,SV109: refine424419629nres_a,SV51: refine424419629nres_a] :
( ( ~ ( ord_le519537037nres_a @ SV51 @ SV109 )
| ( SV109 != SV153 )
| ( ord_le519537037nres_a @ SV51 @ SV153 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[711]) ).
thf(793,plain,
! [SV154: refine432681134nres_b > refine424419629nres_a,SV110: refine432681134nres_b,SV52: refine432681134nres_b] :
( ( ! [SY487: refine424419629nres_a] :
( ~ ( ord_le527798542nres_b @ SV52 @ SV110 )
| ( ( SV154 @ SV110 )
!= SY487 )
| ~ ! [SY488: refine432681134nres_b,SY489: refine432681134nres_b] :
( ~ ( ord_le527798542nres_b @ SY488 @ SY489 )
| ( ord_le519537037nres_a @ ( SV154 @ SY488 ) @ ( SV154 @ SY489 ) ) )
| ( ord_le519537037nres_a @ ( SV154 @ SV52 ) @ SY487 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[712]) ).
thf(794,plain,
! [SV53: refine432681134nres_b] :
( ( ( ~ ( ( top_to240090974nres_b != SV53 )
| ( refine412683990fail_b @ SV53 ) ) )
= $true )
| ( ( ~ ( ~ ( ( top_to240090974nres_b != SV53 ) )
| ~ ( refine412683990fail_b @ SV53 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[713]) ).
thf(795,plain,
! [SV155: refine424419629nres_a,SV111: refine424419629nres_a > refine432681134nres_b,SV54: refine432681134nres_b] :
( ( ! [SY490: refine424419629nres_a] :
( ~ ( ord_le527798542nres_b @ SV54 @ ( SV111 @ SV155 ) )
| ~ ( ord_le519537037nres_a @ SV155 @ SY490 )
| ~ ! [SY419: refine424419629nres_a,SY420: refine424419629nres_a] :
( ~ ( ord_le519537037nres_a @ SY419 @ SY420 )
| ( ord_le527798542nres_b @ ( SV111 @ SY419 ) @ ( SV111 @ SY420 ) ) )
| ( ord_le527798542nres_b @ SV54 @ ( SV111 @ SY490 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[715]) ).
thf(796,plain,
! [SV156: $o,SV112: $o > refine424419629nres_a,SV55: $o > refine424419629nres_a] :
( ( ~ ( ord_le516598614nres_a @ SV55 @ SV112 )
| ( ord_le519537037nres_a @ ( SV55 @ SV156 ) @ ( SV112 @ SV156 ) ) )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[716]) ).
thf(797,plain,
! [SV112: $o > refine424419629nres_a,SV55: $o > refine424419629nres_a] :
( ( ~ ( ord_le516598614nres_a @ SV55 @ SV112 )
| ( ord_le519537037nres_a @ ( SV55 @ $true ) @ ( SV112 @ $true ) ) )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[716]) ).
thf(798,plain,
! [SV112: $o > refine424419629nres_a,SV55: $o > refine424419629nres_a] :
( ( ~ ( ord_le516598614nres_a @ SV55 @ SV112 )
| ( ord_le519537037nres_a @ ( SV55 @ $false ) @ ( SV112 @ $false ) ) )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[716]) ).
thf(799,plain,
! [SV56: refine432681134nres_b] :
( ( ( ord_le527798542nres_b @ top_to240090974nres_b @ SV56 )
= $false )
| ( ( SV56 = top_to240090974nres_b )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[717]) ).
thf(800,plain,
! [SV113: refine424419629nres_a,SV57: refine424419629nres_a > $o] :
( ( ( ~ ( SV57 @ SV113 ) )
= $true )
| ( ( ~ ! [SY422: refine424419629nres_a] :
( ~ ( SV57 @ SY422 )
| ( ord_le519537037nres_a @ SY422 @ SV113 ) )
| ( ( order_1714329108nres_a @ SV57 )
= SV113 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[718]) ).
thf(801,plain,
! [SV157: refine432681134nres_b,SV114: refine432681134nres_b > refine424419629nres_a,SV58: refine424419629nres_a] :
( ( ! [SY493: refine432681134nres_b] :
( ( SV58
!= ( SV114 @ SV157 ) )
| ~ ( ord_le527798542nres_b @ SV157 @ SY493 )
| ~ ! [SY425: refine432681134nres_b,SY426: refine432681134nres_b] :
( ~ ( ord_le527798542nres_b @ SY425 @ SY426 )
| ( ord_le519537037nres_a @ ( SV114 @ SY425 ) @ ( SV114 @ SY426 ) ) )
| ( ord_le519537037nres_a @ SV58 @ ( SV114 @ SY493 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[719]) ).
thf(802,plain,
! [SV115: refine424419629nres_a,SV59: refine424419629nres_a] :
( ( ( ~ ( ord_le519537037nres_a @ SV59 @ SV115 ) )
= $true )
| ( ( ~ ( ord_le519537037nres_a @ SV115 @ SV59 )
| ( SV59 = SV115 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[720]) ).
thf(803,plain,
! [SV158: refine424419629nres_a,SV116: set_Product_prod_a_a,SV60: refine424419629nres_a] :
( ( ! [SY496: set_Product_prod_a_a,SY497: refine424419629nres_a] :
( ~ ( ord_le519537037nres_a @ SV60 @ ( refine1441824853un_a_a @ SV116 @ SV158 ) )
| ~ ( ord_le519537037nres_a @ SV158 @ ( refine1441824853un_a_a @ SY496 @ SY497 ) )
| ( ord_le519537037nres_a @ SV60 @ ( refine1441824853un_a_a @ SV116 @ ( refine1441824853un_a_a @ SY496 @ SY497 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[721]) ).
thf(804,plain,
! [SV117: refine424419629nres_a,SV61: refine424419629nres_a] :
( ( ( ~ ( ord_le519537037nres_a @ SV61 @ SV117 ) )
= $true )
| ( ( ~ ( refine412683989fail_a @ SV117 )
| ( refine412683989fail_a @ SV61 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[722]) ).
thf(805,plain,
! [SV159: refine424419629nres_a,SV118: refine424419629nres_a,SV62: refine424419629nres_a] :
( ( ! [SY498: refine424419629nres_a] :
( ( SV62 != SV118 )
| ~ ( ord_le519537037nres_a @ SV118 @ SV159 )
| ( SV159 != SY498 )
| ( ord_le519537037nres_a @ SV62 @ SY498 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[723]) ).
thf(806,plain,
! [SV160: refine424419629nres_a,SV119: refine424419629nres_a > refine424419629nres_a,SV63: refine424419629nres_a] :
( ( ! [SY499: refine424419629nres_a] :
( ~ ( ord_le519537037nres_a @ SV63 @ ( SV119 @ SV160 ) )
| ~ ( ord_le519537037nres_a @ SV160 @ SY499 )
| ~ ! [SY434: refine424419629nres_a,SY435: refine424419629nres_a] :
( ~ ( ord_le519537037nres_a @ SY434 @ SY435 )
| ( ord_le519537037nres_a @ ( SV119 @ SY434 ) @ ( SV119 @ SY435 ) ) )
| ( ord_le519537037nres_a @ SV63 @ ( SV119 @ SY499 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[724]) ).
thf(807,plain,
! [SV120: refine424419629nres_a,SV64: refine424419629nres_a] :
( ( ( ~ ( ord_le519537037nres_a @ SV64 @ SV120 ) )
= $true )
| ( ( ~ ( ord_le519537037nres_a @ SV120 @ SV64 )
| ( SV120 = SV64 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[725]) ).
thf(808,plain,
! [SV121: $o > refine424419629nres_a] :
( ( ! [SV161: $o > refine424419629nres_a] :
( ( ord_le516598614nres_a @ SV121 @ SV161 )
= ( ~ ( ~ ( ord_le519537037nres_a @ ( SV121 @ $false ) @ ( SV161 @ $false ) )
| ~ ( ord_le519537037nres_a @ ( SV121 @ $true ) @ ( SV161 @ $true ) ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[726]) ).
thf(809,plain,
! [SV121: $o > refine424419629nres_a] :
( ( ( ord_le516598614nres_a @ SV121 )
= ( ^ [SY436: $o > refine424419629nres_a] :
~ ( ~ ( ord_le519537037nres_a @ ( SV121 @ $false ) @ ( SY436 @ $false ) )
| ~ ( ord_le519537037nres_a @ ( SV121 @ $true ) @ ( SY436 @ $true ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[726]) ).
thf(810,plain,
! [SV162: refine424419629nres_a,SV122: refine424419629nres_a,SV66: refine424419629nres_a] :
( ( ( SV66 != SV122 )
| ~ ( ord_le519537037nres_a @ SV122 @ SV162 )
| ( ord_le519537037nres_a @ SV66 @ SV162 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[727]) ).
thf(811,plain,
! [SV123: refine432681134nres_b] :
( ( ~ ( ( refine412683990fail_b @ SV123 )
| ( SV123 != top_to240090974nres_b ) )
| ~ ( ~ ( refine412683990fail_b @ SV123 )
| ~ ( ( SV123 != top_to240090974nres_b ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[728]) ).
thf(812,plain,
! [SV123: refine432681134nres_b] :
( ( ( refine412683990fail_b @ SV123 )
= ( SV123 != top_to240090974nres_b ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[728]) ).
thf(813,plain,
! [SV163: refine432681134nres_b > refine424419629nres_a,SV124: refine432681134nres_b,SV68: refine432681134nres_b] :
( ( ! [SY502: refine424419629nres_a] :
( ~ ( ord_le527798542nres_b @ SV68 @ SV124 )
| ~ ( ord_le519537037nres_a @ ( SV163 @ SV124 ) @ SY502 )
| ~ ! [SY503: refine432681134nres_b,SY504: refine432681134nres_b] :
( ~ ( ord_le527798542nres_b @ SY503 @ SY504 )
| ( ord_le519537037nres_a @ ( SV163 @ SY503 ) @ ( SV163 @ SY504 ) ) )
| ( ord_le519537037nres_a @ ( SV163 @ SV68 ) @ SY502 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[729]) ).
thf(814,plain,
! [SV125: refine424419629nres_a,SV69: refine424419629nres_a] :
( ( ( SV69 != top_to231829469nres_a )
= $true )
| ( ( ord_le519537037nres_a @ SV125 @ SV69 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[730]) ).
thf(815,plain,
! [SV126: refine424419629nres_a,SV70: refine424419629nres_a] :
( ( ( SV70 != SV126 )
= $true )
| ( ( ord_le519537037nres_a @ SV70 @ SV126 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[731]) ).
thf(816,plain,
! [SV127: refine424419629nres_a] :
( ( ! [SV164: refine424419629nres_a] :
( ( SV127 = SV164 )
= ( ~ ( ~ ( ord_le519537037nres_a @ SV127 @ SV164 )
| ~ ( ord_le519537037nres_a @ SV164 @ SV127 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[732]) ).
thf(817,plain,
! [SV127: refine424419629nres_a] :
( ( ( ^ [SY442: refine424419629nres_a] : ( SV127 = SY442 ) )
= ( ^ [SY443: refine424419629nres_a] :
~ ( ~ ( ord_le519537037nres_a @ SV127 @ SY443 )
| ~ ( ord_le519537037nres_a @ SY443 @ SV127 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[732]) ).
thf(818,plain,
! [SV165: refine424419629nres_a,SV128: refine424419629nres_a > refine432681134nres_b,SV72: refine432681134nres_b] :
( ( ! [SY505: refine424419629nres_a] :
( ( SV72
!= ( SV128 @ SV165 ) )
| ~ ( ord_le519537037nres_a @ SV165 @ SY505 )
| ~ ! [SY446: refine424419629nres_a,SY447: refine424419629nres_a] :
( ~ ( ord_le519537037nres_a @ SY446 @ SY447 )
| ( ord_le527798542nres_b @ ( SV128 @ SY446 ) @ ( SV128 @ SY447 ) ) )
| ( ord_le527798542nres_b @ SV72 @ ( SV128 @ SY505 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[733]) ).
thf(819,plain,
! [SV129: refine424419629nres_a] :
( ( ! [SV166: refine424419629nres_a] :
( ( SV129 = SV166 )
= ( ~ ( ~ ( ord_le519537037nres_a @ SV129 @ SV166 )
| ~ ( ord_le519537037nres_a @ SV166 @ SV129 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[734]) ).
thf(820,plain,
! [SV129: refine424419629nres_a] :
( ( ( ^ [SY448: refine424419629nres_a] : ( SV129 = SY448 ) )
= ( ^ [SY449: refine424419629nres_a] :
~ ( ~ ( ord_le519537037nres_a @ SV129 @ SY449 )
| ~ ( ord_le519537037nres_a @ SY449 @ SV129 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[734]) ).
thf(821,plain,
! [SV167: refine424419629nres_a,SV130: refine424419629nres_a,SV74: refine424419629nres_a] :
( ( ~ ( ord_le519537037nres_a @ SV74 @ SV130 )
| ~ ( ord_le519537037nres_a @ SV130 @ SV167 )
| ( ord_le519537037nres_a @ SV74 @ SV167 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[735]) ).
thf(822,plain,
! [SV75: refine424419629nres_a] :
( ( ( ord_le519537037nres_a @ top_to231829469nres_a @ SV75 )
= $false )
| ( ( SV75 = top_to231829469nres_a )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[736]) ).
thf(823,plain,
! [SV168: refine424419629nres_a > refine424419629nres_a,SV131: refine424419629nres_a,SV76: refine424419629nres_a] :
( ( ! [SY508: refine424419629nres_a] :
( ~ ( ord_le519537037nres_a @ SV76 @ SV131 )
| ( ( SV168 @ SV131 )
!= SY508 )
| ~ ! [SY509: refine424419629nres_a,SY510: refine424419629nres_a] :
( ~ ( ord_le519537037nres_a @ SY509 @ SY510 )
| ( ord_le519537037nres_a @ ( SV168 @ SY509 ) @ ( SV168 @ SY510 ) ) )
| ( ord_le519537037nres_a @ ( SV168 @ SV76 ) @ SY508 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[737]) ).
thf(824,plain,
! [SV1: refine432681134nres_b] :
( ( ( ( ord_le527798542nres_b @ top_to240090974nres_b @ SV1 )
| ( SV1 = top_to240090974nres_b ) )
= $false )
| ( ( ~ ( ~ ( ord_le527798542nres_b @ top_to240090974nres_b @ SV1 )
| ( SV1 != top_to240090974nres_b ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[738]) ).
thf(825,plain,
! [SV2: refine424419629nres_a] :
( ( ( ( ord_le519537037nres_a @ top_to231829469nres_a @ SV2 )
| ( SV2 = top_to231829469nres_a ) )
= $false )
| ( ( ~ ( ~ ( ord_le519537037nres_a @ top_to231829469nres_a @ SV2 )
| ( SV2 != top_to231829469nres_a ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[739]) ).
thf(826,plain,
! [SV77: refine432681134nres_b,SV3: set_Product_prod_b_b] :
( ( ( ~ ( ( top_to240090974nres_b
= ( refine122110613un_b_b @ SV3 @ SV77 ) )
| ( SV77 = top_to240090974nres_b ) ) )
= $true )
| ( ( ~ ( ( top_to240090974nres_b
!= ( refine122110613un_b_b @ SV3 @ SV77 ) )
| ( SV77 != top_to240090974nres_b ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[740]) ).
thf(827,plain,
! [SV78: refine432681134nres_b,SV4: set_Product_prod_a_b] :
( ( ( ~ ( ( top_to231829469nres_a
= ( refine1441824854un_a_b @ SV4 @ SV78 ) )
| ( SV78 = top_to240090974nres_b ) ) )
= $true )
| ( ( ~ ( ( top_to231829469nres_a
!= ( refine1441824854un_a_b @ SV4 @ SV78 ) )
| ( SV78 != top_to240090974nres_b ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[742]) ).
thf(828,plain,
! [SV79: refine432681134nres_b,SV5: set_Product_prod_b_b] :
( ( ( ~ ( ( ( refine122110613un_b_b @ SV5 @ SV79 )
= top_to240090974nres_b )
| ( SV79 = top_to240090974nres_b ) ) )
= $true )
| ( ( ~ ( ( ( refine122110613un_b_b @ SV5 @ SV79 )
!= top_to240090974nres_b )
| ( SV79 != top_to240090974nres_b ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[744]) ).
thf(829,plain,
! [SV80: refine432681134nres_b,SV6: set_Product_prod_a_b] :
( ( ( ~ ( ( ( refine1441824854un_a_b @ SV6 @ SV80 )
= top_to231829469nres_a )
| ( SV80 = top_to240090974nres_b ) ) )
= $true )
| ( ( ~ ( ( ( refine1441824854un_a_b @ SV6 @ SV80 )
!= top_to231829469nres_a )
| ( SV80 != top_to240090974nres_b ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[746]) ).
thf(830,plain,
! [SV14: refine424419629nres_a] :
( ( ( ( ord_le519537037nres_a @ top_to231829469nres_a @ SV14 )
| ( SV14 = top_to231829469nres_a ) )
= $false )
| ( ( ~ ( ~ ( ord_le519537037nres_a @ top_to231829469nres_a @ SV14 )
| ( SV14 != top_to231829469nres_a ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[748]) ).
thf(831,plain,
! [SV15: refine432681134nres_b] :
( ( ( ( ord_le527798542nres_b @ top_to240090974nres_b @ SV15 )
| ( SV15 = top_to240090974nres_b ) )
= $false )
| ( ( ~ ( ~ ( ord_le527798542nres_b @ top_to240090974nres_b @ SV15 )
| ( SV15 != top_to240090974nres_b ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[749]) ).
thf(832,plain,
! [SV169: $o > refine424419629nres_a,SV81: $o > refine424419629nres_a] :
( ( ( ord_le516598614nres_a @ SV81 @ SV169 )
= ( ! [SY511: $o] : ( ord_le519537037nres_a @ ( SV81 @ SY511 ) @ ( SV169 @ SY511 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[750]) ).
thf(833,plain,
! [SV82: a,SV19: a] :
( ( ( ~ ( ( ord_le519537037nres_a @ ( refine2063221604TURN_a @ SV19 ) @ ( refine2063221604TURN_a @ SV82 ) )
| ( SV19 = SV82 ) ) )
= $true )
| ( ( ~ ( ~ ( ord_le519537037nres_a @ ( refine2063221604TURN_a @ SV19 ) @ ( refine2063221604TURN_a @ SV82 ) )
| ( SV19 != SV82 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[752]) ).
thf(834,plain,
! [SV20: refine432681134nres_b] :
( ( ( ~ ( refine412683990fail_b @ SV20 )
| ( SV20 = top_to240090974nres_b ) )
= $false )
| ( ( ~ ( ~ ~ ( refine412683990fail_b @ SV20 )
| ( SV20 != top_to240090974nres_b ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[754]) ).
thf(835,plain,
! [SV83: b] :
( ( ( ~ ( ( refine1001002028nres_b @ top_to240090974nres_b @ SV83 )
| $true ) )
= $true )
| ( ( ~ ( ~ ( refine1001002028nres_b @ top_to240090974nres_b @ SV83 )
| ~ $true ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[755]) ).
thf(836,plain,
! [SV24: $o] :
( ( ( ~ ( SV24
| $true ) )
= $true )
| ( ( ~ ( ~ SV24
| ~ $true ) )
= $true )
| ( ( SV24 = $false )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[757]) ).
thf(837,plain,
! [SV24: $o] :
( ( ( ~ ( SV24
| $false )
| ~ ( ~ SV24
| ~ $false ) )
= $true )
| ( ( SV24 = $true )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[758]) ).
thf(838,plain,
! [SV24: $o] :
( ( ( SV24 = $false )
= $true )
| ( ( SV24 = $true )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[758]) ).
thf(839,plain,
( ( ( ~ ( $true
| $true ) )
= $true )
| ( ( ~ ( ~ $true
| ~ $true ) )
= $true )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[759]) ).
thf(840,plain,
( ( ( ~ ( $true
| $false )
| ~ ( ~ $true
| ~ $false ) )
= $true )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[760]) ).
thf(841,plain,
( ( ( $true = $false )
= $true )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[760]) ).
thf(842,plain,
( ( ( ~ ( $false
| $true ) )
= $true )
| ( ( ~ ( ~ $false
| ~ $true ) )
= $true )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[761]) ).
thf(843,plain,
( ( ( ~ ( $false
| $false )
| ~ ( ~ $false
| ~ $false ) )
= $true )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[762]) ).
thf(844,plain,
( ( ( $false = $false )
= $true )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[762]) ).
thf(845,plain,
! [SV84: $o > refine424419629nres_a,SV25: $o > refine424419629nres_a] :
( ( ( ! [SY359: $o] : ( ord_le519537037nres_a @ ( SV25 @ SY359 ) @ ( SV84 @ SY359 ) ) )
= $false )
| ( ( ord_le516598614nres_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[763]) ).
thf(846,plain,
! [SV85: refine424419629nres_a,SV26: refine424419629nres_a] :
( ( ( ord_le519537037nres_a @ SV26 @ SV85 )
= $false )
| ( ( ~ ( ord_le519537037nres_a @ SV85 @ SV26 )
| ( SV26 = SV85 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[764]) ).
thf(847,plain,
! [SV170: refine432681134nres_b,SV133: refine432681134nres_b,SV86: set_Product_prod_a_b,SV27: refine424419629nres_a] :
( ( ~ ( ord_le519537037nres_a @ SV27 @ ( refine1441824854un_a_b @ SV86 @ SV133 ) )
| ~ ( ord_le527798542nres_b @ SV133 @ SV170 )
| ( ord_le519537037nres_a @ SV27 @ ( refine1441824854un_a_b @ SV86 @ SV170 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[765]) ).
thf(848,plain,
! [SV87: refine432681134nres_b,SV28: refine432681134nres_b] :
( ( ( SV28 = top_to240090974nres_b )
= $false )
| ( ( ord_le527798542nres_b @ SV87 @ SV28 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[766]) ).
thf(849,plain,
! [SV171: refine424419629nres_a,SV134: refine424419629nres_a > refine424419629nres_a,SV88: refine424419629nres_a,SV29: refine424419629nres_a] :
( ( ~ ( ord_le519537037nres_a @ SV29 @ SV88 )
| ~ ( ord_le519537037nres_a @ ( SV134 @ SV88 ) @ SV171 )
| ~ ! [SY458: refine424419629nres_a,SY459: refine424419629nres_a] :
( ~ ( ord_le519537037nres_a @ SY458 @ SY459 )
| ( ord_le519537037nres_a @ ( SV134 @ SY458 ) @ ( SV134 @ SY459 ) ) )
| ( ord_le519537037nres_a @ ( SV134 @ SV29 ) @ SV171 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[767]) ).
thf(850,plain,
! [SV135: refine432681134nres_b,SV89: set_Product_prod_a_b,SV30: set_Product_prod_a_b] :
( ( ( ~ ( ord_le816409512od_a_b @ SV30 @ SV89 ) )
= $true )
| ( ( ord_le519537037nres_a @ ( refine1441824854un_a_b @ SV30 @ SV135 ) @ ( refine1441824854un_a_b @ SV89 @ SV135 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[768]) ).
thf(851,plain,
! [SV136: $o,SV90: $o > refine424419629nres_a,SV31: $o > refine424419629nres_a] :
( ( ( ~ ( ord_le516598614nres_a @ SV31 @ SV90 ) )
= $true )
| ( ( ord_le519537037nres_a @ ( SV31 @ SV136 ) @ ( SV90 @ SV136 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[769]) ).
thf(852,plain,
! [SV90: $o > refine424419629nres_a,SV31: $o > refine424419629nres_a] :
( ( ( ~ ( ord_le516598614nres_a @ SV31 @ SV90 ) )
= $true )
| ( ( ord_le519537037nres_a @ ( SV31 @ $true ) @ ( SV90 @ $true ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[770]) ).
thf(853,plain,
! [SV90: $o > refine424419629nres_a,SV31: $o > refine424419629nres_a] :
( ( ( ~ ( ord_le516598614nres_a @ SV31 @ SV90 ) )
= $true )
| ( ( ord_le519537037nres_a @ ( SV31 @ $false ) @ ( SV90 @ $false ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[771]) ).
thf(854,plain,
! [SV172: refine424419629nres_a,SV137: refine424419629nres_a,SV91: refine424419629nres_a,SV32: refine424419629nres_a] :
( ( ! [SY514: $o] :
( ~ ( ord_le519537037nres_a @ SV32 @ SV91 )
| ~ ( ord_le519537037nres_a @ SV137 @ SV172 )
| ( ord_le519537037nres_a @ ( if_Ref1724547303nres_a @ SY514 @ SV32 @ SV137 ) @ ( if_Ref1724547303nres_a @ SY514 @ SV91 @ SV172 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[772]) ).
thf(855,plain,
! [SV138: refine424419629nres_a > $o,SV92: refine424419629nres_a,SV33: refine424419629nres_a > $o] :
( ( ( ~ ( SV33 @ SV92 ) )
= $true )
| ( ( ~ ! [SY372: refine424419629nres_a] :
( ~ ( SV33 @ SY372 )
| ( ord_le519537037nres_a @ SY372 @ SV92 ) )
| ~ ! [SY463: refine424419629nres_a] :
( ~ ( SV33 @ SY463 )
| ~ ! [SY249: refine424419629nres_a] :
( ~ ( SV33 @ SY249 )
| ( ord_le519537037nres_a @ SY249 @ SY463 ) )
| ( SV138 @ SY463 ) )
| ( SV138 @ ( order_1714329108nres_a @ SV33 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[773]) ).
thf(856,plain,
! [SV173: refine424419629nres_a,SV139: refine424419629nres_a,SV93: set_Product_prod_a_a,SV34: refine424419629nres_a] :
( ( ~ ( ord_le519537037nres_a @ SV34 @ ( refine1441824853un_a_a @ SV93 @ SV139 ) )
| ~ ( ord_le519537037nres_a @ SV139 @ SV173 )
| ( ord_le519537037nres_a @ SV34 @ ( refine1441824853un_a_a @ SV93 @ SV173 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[774]) ).
thf(857,plain,
! [SV94: refine424419629nres_a,SV35: refine424419629nres_a] :
( ( ( ~ ( refine412683989fail_a @ SV35 )
| ( ord_le519537037nres_a @ SV94 @ SV35 ) )
= $false )
| ( ( ord_le519537037nres_a @ SV94 @ SV35 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[775]) ).
thf(858,plain,
! [SV36: refine432681134nres_b] :
( ( ( SV36 = top_to240090974nres_b )
= $true )
| ( ( ~ ! [SY254: set_b] :
( SV36
!= ( refine1198353289_RES_b @ SY254 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[776]) ).
thf(859,plain,
! [SV174: refine424419629nres_a,SV95: refine424419629nres_a] :
( ( ( SV95 = SV174 )
= ( ~ ( ~ ( ord_le519537037nres_a @ SV174 @ SV95 )
| ~ ( ord_le519537037nres_a @ SV95 @ SV174 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[777]) ).
thf(860,plain,
! [SV175: refine432681134nres_b,SV141: refine424419629nres_a > refine432681134nres_b,SV96: refine424419629nres_a,SV38: refine424419629nres_a] :
( ( ~ ( ord_le519537037nres_a @ SV38 @ SV96 )
| ( ( SV141 @ SV96 )
!= SV175 )
| ~ ! [SY467: refine424419629nres_a,SY468: refine424419629nres_a] :
( ~ ( ord_le519537037nres_a @ SY467 @ SY468 )
| ( ord_le527798542nres_b @ ( SV141 @ SY467 ) @ ( SV141 @ SY468 ) ) )
| ( ord_le527798542nres_b @ ( SV141 @ SV38 ) @ SV175 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[779]) ).
thf(861,plain,
! [SV142: refine424419629nres_a,SV97: refine424419629nres_a,SV39: refine424419629nres_a] :
( ( ( ~ ( ord_le519537037nres_a @ SV39 @ SV97 ) )
= $true )
| ( ( ~ ( ord_le519537037nres_a @ SV97 @ SV142 )
| ( ord_le519537037nres_a @ SV39 @ SV142 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[780]) ).
thf(862,plain,
! [SV176: refine432681134nres_b,SV143: refine424419629nres_a > refine432681134nres_b,SV98: refine424419629nres_a,SV41: refine424419629nres_a] :
( ( ~ ( ord_le519537037nres_a @ SV41 @ SV98 )
| ~ ( ord_le527798542nres_b @ ( SV143 @ SV98 ) @ SV176 )
| ~ ! [SY470: refine424419629nres_a,SY471: refine424419629nres_a] :
( ~ ( ord_le519537037nres_a @ SY470 @ SY471 )
| ( ord_le527798542nres_b @ ( SV143 @ SY470 ) @ ( SV143 @ SY471 ) ) )
| ( ord_le527798542nres_b @ ( SV143 @ SV41 ) @ SV176 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[781]) ).
thf(863,plain,
! [SV99: refine424419629nres_a,SV42: refine424419629nres_a] :
( ( ( ord_le519537037nres_a @ SV42 @ SV99 )
= $false )
| ( ( ( ord_le519537037nres_a @ SV99 @ SV42 )
= ( SV99 = SV42 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[782]) ).
thf(864,plain,
! [SV177: set_Product_prod_a_b,SV144: refine424419629nres_a,SV100: set_Product_prod_a_a,SV43: refine424419629nres_a] :
( ( ! [SY519: refine432681134nres_b] :
( ~ ( ord_le519537037nres_a @ SV43 @ ( refine1441824853un_a_a @ SV100 @ SV144 ) )
| ~ ( ord_le519537037nres_a @ SV144 @ ( refine1441824854un_a_b @ SV177 @ SY519 ) )
| ( ord_le519537037nres_a @ SV43 @ ( refine1441824853un_a_a @ SV100 @ ( refine1441824854un_a_b @ SV177 @ SY519 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[783]) ).
thf(865,plain,
! [SV145: a,SV101: refine424419629nres_a,SV44: refine424419629nres_a] :
( ( ( ~ ( ord_le519537037nres_a @ SV44 @ SV101 ) )
= $true )
| ( ( ~ ( refine1001002027nres_a @ SV44 @ SV145 )
| ( refine1001002027nres_a @ SV101 @ SV145 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[784]) ).
thf(866,plain,
! [SV178: refine424419629nres_a,SV146: set_Product_prod_a_a,SV102: refine424419629nres_a,SV45: refine424419629nres_a] :
( ( ~ ( ord_le519537037nres_a @ SV45 @ SV102 )
| ~ ( ord_le519537037nres_a @ ( refine1136779702un_a_a @ SV146 @ SV102 ) @ SV178 )
| ( ord_le519537037nres_a @ ( refine1136779702un_a_a @ SV146 @ SV45 ) @ SV178 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[785]) ).
thf(867,plain,
! [SV147: refine424419629nres_a,SV103: refine424419629nres_a,SV47: refine424419629nres_a] :
( ( ( ~ ( ord_le519537037nres_a @ SV47 @ SV103 ) )
= $true )
| ( ( ~ ( ord_le519537037nres_a @ SV147 @ SV47 )
| ( ord_le519537037nres_a @ SV147 @ SV103 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[786]) ).
thf(868,plain,
! [SV179: refine424419629nres_a,SV148: refine424419629nres_a,SV104: refine424419629nres_a,SV48: $o] :
( ( ! [SY520: refine424419629nres_a] :
( ~ ( ~ SV48
| ( ord_le519537037nres_a @ SV104 @ SV148 ) )
| ~ ( ~ ~ SV48
| ( ord_le519537037nres_a @ SV179 @ SY520 ) )
| ( ord_le519537037nres_a @ ( if_Ref1724547303nres_a @ SV48 @ SV104 @ SV179 ) @ ( if_Ref1724547303nres_a @ SV48 @ SV148 @ SY520 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[787]) ).
thf(869,plain,
! [SV180: refine424419629nres_a,SV149: refine424419629nres_a,SV105: refine424419629nres_a] :
( ( ! [SY521: refine424419629nres_a] :
( ~ ( ~ $true
| ( ord_le519537037nres_a @ SV105 @ SV149 ) )
| ~ ( ~ ~ $true
| ( ord_le519537037nres_a @ SV180 @ SY521 ) )
| ( ord_le519537037nres_a @ ( if_Ref1724547303nres_a @ $true @ SV105 @ SV180 ) @ ( if_Ref1724547303nres_a @ $true @ SV149 @ SY521 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[788]) ).
thf(870,plain,
! [SV181: refine424419629nres_a,SV150: refine424419629nres_a,SV106: refine424419629nres_a] :
( ( ! [SY522: refine424419629nres_a] :
( ~ ( ~ $false
| ( ord_le519537037nres_a @ SV106 @ SV150 ) )
| ~ ( ~ ~ $false
| ( ord_le519537037nres_a @ SV181 @ SY522 ) )
| ( ord_le519537037nres_a @ ( if_Ref1724547303nres_a @ $false @ SV106 @ SV181 ) @ ( if_Ref1724547303nres_a @ $false @ SV150 @ SY522 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[789]) ).
thf(871,plain,
! [SV182: refine424419629nres_a,SV151: refine424419629nres_a,SV107: refine424419629nres_a > refine424419629nres_a,SV49: refine424419629nres_a] :
( ( ( SV49
!= ( SV107 @ SV151 ) )
| ~ ( ord_le519537037nres_a @ SV151 @ SV182 )
| ~ ! [SY406: refine424419629nres_a,SY407: refine424419629nres_a] :
( ~ ( ord_le519537037nres_a @ SY406 @ SY407 )
| ( ord_le519537037nres_a @ ( SV107 @ SY406 ) @ ( SV107 @ SY407 ) ) )
| ( ord_le519537037nres_a @ SV49 @ ( SV107 @ SV182 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[790]) ).
thf(872,plain,
! [SV183: refine432681134nres_b,SV152: refine432681134nres_b,SV108: refine432681134nres_b > refine424419629nres_a,SV50: refine424419629nres_a] :
( ( ~ ( ord_le519537037nres_a @ SV50 @ ( SV108 @ SV152 ) )
| ~ ( ord_le527798542nres_b @ SV152 @ SV183 )
| ~ ! [SY410: refine432681134nres_b,SY411: refine432681134nres_b] :
( ~ ( ord_le527798542nres_b @ SY410 @ SY411 )
| ( ord_le519537037nres_a @ ( SV108 @ SY410 ) @ ( SV108 @ SY411 ) ) )
| ( ord_le519537037nres_a @ SV50 @ ( SV108 @ SV183 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[791]) ).
thf(873,plain,
! [SV153: refine424419629nres_a,SV109: refine424419629nres_a,SV51: refine424419629nres_a] :
( ( ( ~ ( ord_le519537037nres_a @ SV51 @ SV109 ) )
= $true )
| ( ( ( SV109 != SV153 )
| ( ord_le519537037nres_a @ SV51 @ SV153 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[792]) ).
thf(874,plain,
! [SV184: refine424419629nres_a,SV154: refine432681134nres_b > refine424419629nres_a,SV110: refine432681134nres_b,SV52: refine432681134nres_b] :
( ( ~ ( ord_le527798542nres_b @ SV52 @ SV110 )
| ( ( SV154 @ SV110 )
!= SV184 )
| ~ ! [SY488: refine432681134nres_b,SY489: refine432681134nres_b] :
( ~ ( ord_le527798542nres_b @ SY488 @ SY489 )
| ( ord_le519537037nres_a @ ( SV154 @ SY488 ) @ ( SV154 @ SY489 ) ) )
| ( ord_le519537037nres_a @ ( SV154 @ SV52 ) @ SV184 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[793]) ).
thf(875,plain,
! [SV53: refine432681134nres_b] :
( ( ( ( top_to240090974nres_b != SV53 )
| ( refine412683990fail_b @ SV53 ) )
= $false )
| ( ( ~ ( ~ ( ( top_to240090974nres_b != SV53 ) )
| ~ ( refine412683990fail_b @ SV53 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[794]) ).
thf(876,plain,
! [SV185: refine424419629nres_a,SV155: refine424419629nres_a,SV111: refine424419629nres_a > refine432681134nres_b,SV54: refine432681134nres_b] :
( ( ~ ( ord_le527798542nres_b @ SV54 @ ( SV111 @ SV155 ) )
| ~ ( ord_le519537037nres_a @ SV155 @ SV185 )
| ~ ! [SY419: refine424419629nres_a,SY420: refine424419629nres_a] :
( ~ ( ord_le519537037nres_a @ SY419 @ SY420 )
| ( ord_le527798542nres_b @ ( SV111 @ SY419 ) @ ( SV111 @ SY420 ) ) )
| ( ord_le527798542nres_b @ SV54 @ ( SV111 @ SV185 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[795]) ).
thf(877,plain,
! [SV156: $o,SV112: $o > refine424419629nres_a,SV55: $o > refine424419629nres_a] :
( ( ( ~ ( ord_le516598614nres_a @ SV55 @ SV112 ) )
= $true )
| ( ( ord_le519537037nres_a @ ( SV55 @ SV156 ) @ ( SV112 @ SV156 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[796]) ).
thf(878,plain,
! [SV112: $o > refine424419629nres_a,SV55: $o > refine424419629nres_a] :
( ( ( ~ ( ord_le516598614nres_a @ SV55 @ SV112 ) )
= $true )
| ( ( ord_le519537037nres_a @ ( SV55 @ $true ) @ ( SV112 @ $true ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[797]) ).
thf(879,plain,
! [SV112: $o > refine424419629nres_a,SV55: $o > refine424419629nres_a] :
( ( ( ~ ( ord_le516598614nres_a @ SV55 @ SV112 ) )
= $true )
| ( ( ord_le519537037nres_a @ ( SV55 @ $false ) @ ( SV112 @ $false ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[798]) ).
thf(880,plain,
! [SV113: refine424419629nres_a,SV57: refine424419629nres_a > $o] :
( ( ( SV57 @ SV113 )
= $false )
| ( ( ~ ! [SY422: refine424419629nres_a] :
( ~ ( SV57 @ SY422 )
| ( ord_le519537037nres_a @ SY422 @ SV113 ) )
| ( ( order_1714329108nres_a @ SV57 )
= SV113 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[800]) ).
thf(881,plain,
! [SV186: refine432681134nres_b,SV157: refine432681134nres_b,SV114: refine432681134nres_b > refine424419629nres_a,SV58: refine424419629nres_a] :
( ( ( SV58
!= ( SV114 @ SV157 ) )
| ~ ( ord_le527798542nres_b @ SV157 @ SV186 )
| ~ ! [SY425: refine432681134nres_b,SY426: refine432681134nres_b] :
( ~ ( ord_le527798542nres_b @ SY425 @ SY426 )
| ( ord_le519537037nres_a @ ( SV114 @ SY425 ) @ ( SV114 @ SY426 ) ) )
| ( ord_le519537037nres_a @ SV58 @ ( SV114 @ SV186 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[801]) ).
thf(882,plain,
! [SV115: refine424419629nres_a,SV59: refine424419629nres_a] :
( ( ( ord_le519537037nres_a @ SV59 @ SV115 )
= $false )
| ( ( ~ ( ord_le519537037nres_a @ SV115 @ SV59 )
| ( SV59 = SV115 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[802]) ).
thf(883,plain,
! [SV187: set_Product_prod_a_a,SV158: refine424419629nres_a,SV116: set_Product_prod_a_a,SV60: refine424419629nres_a] :
( ( ! [SY533: refine424419629nres_a] :
( ~ ( ord_le519537037nres_a @ SV60 @ ( refine1441824853un_a_a @ SV116 @ SV158 ) )
| ~ ( ord_le519537037nres_a @ SV158 @ ( refine1441824853un_a_a @ SV187 @ SY533 ) )
| ( ord_le519537037nres_a @ SV60 @ ( refine1441824853un_a_a @ SV116 @ ( refine1441824853un_a_a @ SV187 @ SY533 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[803]) ).
thf(884,plain,
! [SV117: refine424419629nres_a,SV61: refine424419629nres_a] :
( ( ( ord_le519537037nres_a @ SV61 @ SV117 )
= $false )
| ( ( ~ ( refine412683989fail_a @ SV117 )
| ( refine412683989fail_a @ SV61 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[804]) ).
thf(885,plain,
! [SV188: refine424419629nres_a,SV159: refine424419629nres_a,SV118: refine424419629nres_a,SV62: refine424419629nres_a] :
( ( ( SV62 != SV118 )
| ~ ( ord_le519537037nres_a @ SV118 @ SV159 )
| ( SV159 != SV188 )
| ( ord_le519537037nres_a @ SV62 @ SV188 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[805]) ).
thf(886,plain,
! [SV189: refine424419629nres_a,SV160: refine424419629nres_a,SV119: refine424419629nres_a > refine424419629nres_a,SV63: refine424419629nres_a] :
( ( ~ ( ord_le519537037nres_a @ SV63 @ ( SV119 @ SV160 ) )
| ~ ( ord_le519537037nres_a @ SV160 @ SV189 )
| ~ ! [SY434: refine424419629nres_a,SY435: refine424419629nres_a] :
( ~ ( ord_le519537037nres_a @ SY434 @ SY435 )
| ( ord_le519537037nres_a @ ( SV119 @ SY434 ) @ ( SV119 @ SY435 ) ) )
| ( ord_le519537037nres_a @ SV63 @ ( SV119 @ SV189 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[806]) ).
thf(887,plain,
! [SV120: refine424419629nres_a,SV64: refine424419629nres_a] :
( ( ( ord_le519537037nres_a @ SV64 @ SV120 )
= $false )
| ( ( ~ ( ord_le519537037nres_a @ SV120 @ SV64 )
| ( SV120 = SV64 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[807]) ).
thf(888,plain,
! [SV190: $o > refine424419629nres_a,SV121: $o > refine424419629nres_a] :
( ( ( ord_le516598614nres_a @ SV121 @ SV190 )
= ( ~ ( ~ ( ord_le519537037nres_a @ ( SV121 @ $false ) @ ( SV190 @ $false ) )
| ~ ( ord_le519537037nres_a @ ( SV121 @ $true ) @ ( SV190 @ $true ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[808]) ).
thf(889,plain,
! [SV162: refine424419629nres_a,SV122: refine424419629nres_a,SV66: refine424419629nres_a] :
( ( ( SV66 != SV122 )
= $true )
| ( ( ~ ( ord_le519537037nres_a @ SV122 @ SV162 )
| ( ord_le519537037nres_a @ SV66 @ SV162 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[810]) ).
thf(890,plain,
! [SV123: refine432681134nres_b] :
( ( ( ~ ( ( refine412683990fail_b @ SV123 )
| ( SV123 != top_to240090974nres_b ) ) )
= $true )
| ( ( ~ ( ~ ( refine412683990fail_b @ SV123 )
| ~ ( ( SV123 != top_to240090974nres_b ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[811]) ).
thf(891,plain,
! [SV191: refine424419629nres_a,SV163: refine432681134nres_b > refine424419629nres_a,SV124: refine432681134nres_b,SV68: refine432681134nres_b] :
( ( ~ ( ord_le527798542nres_b @ SV68 @ SV124 )
| ~ ( ord_le519537037nres_a @ ( SV163 @ SV124 ) @ SV191 )
| ~ ! [SY503: refine432681134nres_b,SY504: refine432681134nres_b] :
( ~ ( ord_le527798542nres_b @ SY503 @ SY504 )
| ( ord_le519537037nres_a @ ( SV163 @ SY503 ) @ ( SV163 @ SY504 ) ) )
| ( ord_le519537037nres_a @ ( SV163 @ SV68 ) @ SV191 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[813]) ).
thf(892,plain,
! [SV125: refine424419629nres_a,SV69: refine424419629nres_a] :
( ( ( SV69 = top_to231829469nres_a )
= $false )
| ( ( ord_le519537037nres_a @ SV125 @ SV69 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[814]) ).
thf(893,plain,
! [SV126: refine424419629nres_a,SV70: refine424419629nres_a] :
( ( ( SV70 = SV126 )
= $false )
| ( ( ord_le519537037nres_a @ SV70 @ SV126 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[815]) ).
thf(894,plain,
! [SV192: refine424419629nres_a,SV127: refine424419629nres_a] :
( ( ( SV127 = SV192 )
= ( ~ ( ~ ( ord_le519537037nres_a @ SV127 @ SV192 )
| ~ ( ord_le519537037nres_a @ SV192 @ SV127 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[816]) ).
thf(895,plain,
! [SV193: refine424419629nres_a,SV165: refine424419629nres_a,SV128: refine424419629nres_a > refine432681134nres_b,SV72: refine432681134nres_b] :
( ( ( SV72
!= ( SV128 @ SV165 ) )
| ~ ( ord_le519537037nres_a @ SV165 @ SV193 )
| ~ ! [SY446: refine424419629nres_a,SY447: refine424419629nres_a] :
( ~ ( ord_le519537037nres_a @ SY446 @ SY447 )
| ( ord_le527798542nres_b @ ( SV128 @ SY446 ) @ ( SV128 @ SY447 ) ) )
| ( ord_le527798542nres_b @ SV72 @ ( SV128 @ SV193 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[818]) ).
thf(896,plain,
! [SV194: refine424419629nres_a,SV129: refine424419629nres_a] :
( ( ( SV129 = SV194 )
= ( ~ ( ~ ( ord_le519537037nres_a @ SV129 @ SV194 )
| ~ ( ord_le519537037nres_a @ SV194 @ SV129 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[819]) ).
thf(897,plain,
! [SV167: refine424419629nres_a,SV130: refine424419629nres_a,SV74: refine424419629nres_a] :
( ( ( ~ ( ord_le519537037nres_a @ SV74 @ SV130 ) )
= $true )
| ( ( ~ ( ord_le519537037nres_a @ SV130 @ SV167 )
| ( ord_le519537037nres_a @ SV74 @ SV167 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[821]) ).
thf(898,plain,
! [SV195: refine424419629nres_a,SV168: refine424419629nres_a > refine424419629nres_a,SV131: refine424419629nres_a,SV76: refine424419629nres_a] :
( ( ~ ( ord_le519537037nres_a @ SV76 @ SV131 )
| ( ( SV168 @ SV131 )
!= SV195 )
| ~ ! [SY509: refine424419629nres_a,SY510: refine424419629nres_a] :
( ~ ( ord_le519537037nres_a @ SY509 @ SY510 )
| ( ord_le519537037nres_a @ ( SV168 @ SY509 ) @ ( SV168 @ SY510 ) ) )
| ( ord_le519537037nres_a @ ( SV168 @ SV76 ) @ SV195 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[823]) ).
thf(899,plain,
! [SV1: refine432681134nres_b] :
( ( ( ord_le527798542nres_b @ top_to240090974nres_b @ SV1 )
= $false )
| ( ( ~ ( ~ ( ord_le527798542nres_b @ top_to240090974nres_b @ SV1 )
| ( SV1 != top_to240090974nres_b ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[824]) ).
thf(900,plain,
! [SV1: refine432681134nres_b] :
( ( ( SV1 = top_to240090974nres_b )
= $false )
| ( ( ~ ( ~ ( ord_le527798542nres_b @ top_to240090974nres_b @ SV1 )
| ( SV1 != top_to240090974nres_b ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[824]) ).
thf(901,plain,
! [SV2: refine424419629nres_a] :
( ( ( ord_le519537037nres_a @ top_to231829469nres_a @ SV2 )
= $false )
| ( ( ~ ( ~ ( ord_le519537037nres_a @ top_to231829469nres_a @ SV2 )
| ( SV2 != top_to231829469nres_a ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[825]) ).
thf(902,plain,
! [SV2: refine424419629nres_a] :
( ( ( SV2 = top_to231829469nres_a )
= $false )
| ( ( ~ ( ~ ( ord_le519537037nres_a @ top_to231829469nres_a @ SV2 )
| ( SV2 != top_to231829469nres_a ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[825]) ).
thf(903,plain,
! [SV77: refine432681134nres_b,SV3: set_Product_prod_b_b] :
( ( ( ( top_to240090974nres_b
= ( refine122110613un_b_b @ SV3 @ SV77 ) )
| ( SV77 = top_to240090974nres_b ) )
= $false )
| ( ( ~ ( ( top_to240090974nres_b
!= ( refine122110613un_b_b @ SV3 @ SV77 ) )
| ( SV77 != top_to240090974nres_b ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[826]) ).
thf(904,plain,
! [SV78: refine432681134nres_b,SV4: set_Product_prod_a_b] :
( ( ( ( top_to231829469nres_a
= ( refine1441824854un_a_b @ SV4 @ SV78 ) )
| ( SV78 = top_to240090974nres_b ) )
= $false )
| ( ( ~ ( ( top_to231829469nres_a
!= ( refine1441824854un_a_b @ SV4 @ SV78 ) )
| ( SV78 != top_to240090974nres_b ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[827]) ).
thf(905,plain,
! [SV79: refine432681134nres_b,SV5: set_Product_prod_b_b] :
( ( ( ( ( refine122110613un_b_b @ SV5 @ SV79 )
= top_to240090974nres_b )
| ( SV79 = top_to240090974nres_b ) )
= $false )
| ( ( ~ ( ( ( refine122110613un_b_b @ SV5 @ SV79 )
!= top_to240090974nres_b )
| ( SV79 != top_to240090974nres_b ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[828]) ).
thf(906,plain,
! [SV80: refine432681134nres_b,SV6: set_Product_prod_a_b] :
( ( ( ( ( refine1441824854un_a_b @ SV6 @ SV80 )
= top_to231829469nres_a )
| ( SV80 = top_to240090974nres_b ) )
= $false )
| ( ( ~ ( ( ( refine1441824854un_a_b @ SV6 @ SV80 )
!= top_to231829469nres_a )
| ( SV80 != top_to240090974nres_b ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[829]) ).
thf(907,plain,
! [SV14: refine424419629nres_a] :
( ( ( ord_le519537037nres_a @ top_to231829469nres_a @ SV14 )
= $false )
| ( ( ~ ( ~ ( ord_le519537037nres_a @ top_to231829469nres_a @ SV14 )
| ( SV14 != top_to231829469nres_a ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[830]) ).
thf(908,plain,
! [SV14: refine424419629nres_a] :
( ( ( SV14 = top_to231829469nres_a )
= $false )
| ( ( ~ ( ~ ( ord_le519537037nres_a @ top_to231829469nres_a @ SV14 )
| ( SV14 != top_to231829469nres_a ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[830]) ).
thf(909,plain,
! [SV15: refine432681134nres_b] :
( ( ( ord_le527798542nres_b @ top_to240090974nres_b @ SV15 )
= $false )
| ( ( ~ ( ~ ( ord_le527798542nres_b @ top_to240090974nres_b @ SV15 )
| ( SV15 != top_to240090974nres_b ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[831]) ).
thf(910,plain,
! [SV15: refine432681134nres_b] :
( ( ( SV15 = top_to240090974nres_b )
= $false )
| ( ( ~ ( ~ ( ord_le527798542nres_b @ top_to240090974nres_b @ SV15 )
| ( SV15 != top_to240090974nres_b ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[831]) ).
thf(911,plain,
! [SV169: $o > refine424419629nres_a,SV81: $o > refine424419629nres_a] :
( ( ~ ( ( ord_le516598614nres_a @ SV81 @ SV169 )
| ! [SY511: $o] : ( ord_le519537037nres_a @ ( SV81 @ SY511 ) @ ( SV169 @ SY511 ) ) )
| ~ ( ~ ( ord_le516598614nres_a @ SV81 @ SV169 )
| ~ ! [SY511: $o] : ( ord_le519537037nres_a @ ( SV81 @ SY511 ) @ ( SV169 @ SY511 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[832]) ).
thf(912,plain,
! [SV169: $o > refine424419629nres_a,SV81: $o > refine424419629nres_a] :
( ( ( ord_le516598614nres_a @ SV81 @ SV169 )
= ( ! [SY511: $o] : ( ord_le519537037nres_a @ ( SV81 @ SY511 ) @ ( SV169 @ SY511 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[832]) ).
thf(913,plain,
! [SV82: a,SV19: a] :
( ( ( ( ord_le519537037nres_a @ ( refine2063221604TURN_a @ SV19 ) @ ( refine2063221604TURN_a @ SV82 ) )
| ( SV19 = SV82 ) )
= $false )
| ( ( ~ ( ~ ( ord_le519537037nres_a @ ( refine2063221604TURN_a @ SV19 ) @ ( refine2063221604TURN_a @ SV82 ) )
| ( SV19 != SV82 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[833]) ).
thf(914,plain,
! [SV20: refine432681134nres_b] :
( ( ( ~ ( refine412683990fail_b @ SV20 ) )
= $false )
| ( ( ~ ( ~ ~ ( refine412683990fail_b @ SV20 )
| ( SV20 != top_to240090974nres_b ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[834]) ).
thf(915,plain,
! [SV20: refine432681134nres_b] :
( ( ( SV20 = top_to240090974nres_b )
= $false )
| ( ( ~ ( ~ ~ ( refine412683990fail_b @ SV20 )
| ( SV20 != top_to240090974nres_b ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[834]) ).
thf(916,plain,
! [SV83: b] :
( ( ( ( refine1001002028nres_b @ top_to240090974nres_b @ SV83 )
| $true )
= $false )
| ( ( ~ ( ~ ( refine1001002028nres_b @ top_to240090974nres_b @ SV83 )
| ~ $true ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[835]) ).
thf(917,plain,
! [SV24: $o] :
( ( ( SV24
| $true )
= $false )
| ( ( ~ ( ~ SV24
| ~ $true ) )
= $true )
| ( ( SV24 = $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[836]) ).
thf(918,plain,
! [SV24: $o] :
( ( ( ~ ( SV24
| $false ) )
= $true )
| ( ( ~ ( ~ SV24
| ~ $false ) )
= $true )
| ( ( SV24 = $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,
! [SV84: $o > refine424419629nres_a,SV25: $o > refine424419629nres_a] :
( ( ( ord_le519537037nres_a @ ( SV25 @ ( sK1_SY359 @ SV84 @ SV25 ) ) @ ( SV84 @ ( sK1_SY359 @ SV84 @ SV25 ) ) )
= $false )
| ( ( ord_le516598614nres_a @ SV25 @ SV84 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[845]) ).
thf(924,plain,
! [SV26: refine424419629nres_a,SV85: refine424419629nres_a] :
( ( ( ~ ( ord_le519537037nres_a @ SV85 @ SV26 ) )
= $true )
| ( ( SV26 = SV85 )
= $true )
| ( ( ord_le519537037nres_a @ SV26 @ SV85 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[846]) ).
thf(925,plain,
! [SV170: refine432681134nres_b,SV133: refine432681134nres_b,SV86: set_Product_prod_a_b,SV27: refine424419629nres_a] :
( ( ( ~ ( ord_le519537037nres_a @ SV27 @ ( refine1441824854un_a_b @ SV86 @ SV133 ) ) )
= $true )
| ( ( ~ ( ord_le527798542nres_b @ SV133 @ SV170 )
| ( ord_le519537037nres_a @ SV27 @ ( refine1441824854un_a_b @ SV86 @ SV170 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[847]) ).
thf(926,plain,
! [SV171: refine424419629nres_a,SV134: refine424419629nres_a > refine424419629nres_a,SV88: refine424419629nres_a,SV29: refine424419629nres_a] :
( ( ( ~ ( ord_le519537037nres_a @ SV29 @ SV88 ) )
= $true )
| ( ( ~ ( ord_le519537037nres_a @ ( SV134 @ SV88 ) @ SV171 )
| ~ ! [SY458: refine424419629nres_a,SY459: refine424419629nres_a] :
( ~ ( ord_le519537037nres_a @ SY458 @ SY459 )
| ( ord_le519537037nres_a @ ( SV134 @ SY458 ) @ ( SV134 @ SY459 ) ) )
| ( ord_le519537037nres_a @ ( SV134 @ SV29 ) @ SV171 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[849]) ).
thf(927,plain,
! [SV135: refine432681134nres_b,SV89: set_Product_prod_a_b,SV30: set_Product_prod_a_b] :
( ( ( ord_le816409512od_a_b @ SV30 @ SV89 )
= $false )
| ( ( ord_le519537037nres_a @ ( refine1441824854un_a_b @ SV30 @ SV135 ) @ ( refine1441824854un_a_b @ SV89 @ SV135 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[850]) ).
thf(928,plain,
! [SV136: $o,SV90: $o > refine424419629nres_a,SV31: $o > refine424419629nres_a] :
( ( ( ord_le516598614nres_a @ SV31 @ SV90 )
= $false )
| ( ( ord_le519537037nres_a @ ( SV31 @ SV136 ) @ ( SV90 @ SV136 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[851]) ).
thf(929,plain,
! [SV90: $o > refine424419629nres_a,SV31: $o > refine424419629nres_a] :
( ( ( ord_le516598614nres_a @ SV31 @ SV90 )
= $false )
| ( ( ord_le519537037nres_a @ ( SV31 @ $true ) @ ( SV90 @ $true ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[852]) ).
thf(930,plain,
! [SV90: $o > refine424419629nres_a,SV31: $o > refine424419629nres_a] :
( ( ( ord_le516598614nres_a @ SV31 @ SV90 )
= $false )
| ( ( ord_le519537037nres_a @ ( SV31 @ $false ) @ ( SV90 @ $false ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[853]) ).
thf(931,plain,
! [SV196: $o,SV172: refine424419629nres_a,SV137: refine424419629nres_a,SV91: refine424419629nres_a,SV32: refine424419629nres_a] :
( ( ~ ( ord_le519537037nres_a @ SV32 @ SV91 )
| ~ ( ord_le519537037nres_a @ SV137 @ SV172 )
| ( ord_le519537037nres_a @ ( if_Ref1724547303nres_a @ SV196 @ SV32 @ SV137 ) @ ( if_Ref1724547303nres_a @ SV196 @ SV91 @ SV172 ) ) )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[854]) ).
thf(932,plain,
! [SV172: refine424419629nres_a,SV137: refine424419629nres_a,SV91: refine424419629nres_a,SV32: refine424419629nres_a] :
( ( ~ ( ord_le519537037nres_a @ SV32 @ SV91 )
| ~ ( ord_le519537037nres_a @ SV137 @ SV172 )
| ( ord_le519537037nres_a @ ( if_Ref1724547303nres_a @ $true @ SV32 @ SV137 ) @ ( if_Ref1724547303nres_a @ $true @ SV91 @ SV172 ) ) )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[854]) ).
thf(933,plain,
! [SV172: refine424419629nres_a,SV137: refine424419629nres_a,SV91: refine424419629nres_a,SV32: refine424419629nres_a] :
( ( ~ ( ord_le519537037nres_a @ SV32 @ SV91 )
| ~ ( ord_le519537037nres_a @ SV137 @ SV172 )
| ( ord_le519537037nres_a @ ( if_Ref1724547303nres_a @ $false @ SV32 @ SV137 ) @ ( if_Ref1724547303nres_a @ $false @ SV91 @ SV172 ) ) )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[854]) ).
thf(934,plain,
! [SV138: refine424419629nres_a > $o,SV92: refine424419629nres_a,SV33: refine424419629nres_a > $o] :
( ( ( SV33 @ SV92 )
= $false )
| ( ( ~ ! [SY372: refine424419629nres_a] :
( ~ ( SV33 @ SY372 )
| ( ord_le519537037nres_a @ SY372 @ SV92 ) )
| ~ ! [SY463: refine424419629nres_a] :
( ~ ( SV33 @ SY463 )
| ~ ! [SY249: refine424419629nres_a] :
( ~ ( SV33 @ SY249 )
| ( ord_le519537037nres_a @ SY249 @ SY463 ) )
| ( SV138 @ SY463 ) )
| ( SV138 @ ( order_1714329108nres_a @ SV33 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[855]) ).
thf(935,plain,
! [SV173: refine424419629nres_a,SV139: refine424419629nres_a,SV93: set_Product_prod_a_a,SV34: refine424419629nres_a] :
( ( ( ~ ( ord_le519537037nres_a @ SV34 @ ( refine1441824853un_a_a @ SV93 @ SV139 ) ) )
= $true )
| ( ( ~ ( ord_le519537037nres_a @ SV139 @ SV173 )
| ( ord_le519537037nres_a @ SV34 @ ( refine1441824853un_a_a @ SV93 @ SV173 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[856]) ).
thf(936,plain,
! [SV94: refine424419629nres_a,SV35: refine424419629nres_a] :
( ( ( ~ ( refine412683989fail_a @ SV35 ) )
= $false )
| ( ( ord_le519537037nres_a @ SV94 @ SV35 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[857]) ).
thf(937,plain,
! [SV35: refine424419629nres_a,SV94: refine424419629nres_a] :
( ( ( ord_le519537037nres_a @ SV94 @ SV35 )
= $false )
| ( ( ord_le519537037nres_a @ SV94 @ SV35 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[857]) ).
thf(938,plain,
! [SV36: refine432681134nres_b] :
( ( ( ! [SY254: set_b] :
( SV36
!= ( refine1198353289_RES_b @ SY254 ) ) )
= $false )
| ( ( SV36 = top_to240090974nres_b )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[858]) ).
thf(939,plain,
! [SV174: refine424419629nres_a,SV95: refine424419629nres_a] :
( ( ~ ( ( SV95 = SV174 )
| ~ ( ~ ( ord_le519537037nres_a @ SV174 @ SV95 )
| ~ ( ord_le519537037nres_a @ SV95 @ SV174 ) ) )
| ~ ( ( SV95 != SV174 )
| ~ ~ ( ~ ( ord_le519537037nres_a @ SV174 @ SV95 )
| ~ ( ord_le519537037nres_a @ SV95 @ SV174 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[859]) ).
thf(940,plain,
! [SV174: refine424419629nres_a,SV95: refine424419629nres_a] :
( ( ( SV95 = SV174 )
= ( ~ ( ~ ( ord_le519537037nres_a @ SV174 @ SV95 )
| ~ ( ord_le519537037nres_a @ SV95 @ SV174 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[859]) ).
thf(941,plain,
! [SV175: refine432681134nres_b,SV141: refine424419629nres_a > refine432681134nres_b,SV96: refine424419629nres_a,SV38: refine424419629nres_a] :
( ( ( ~ ( ord_le519537037nres_a @ SV38 @ SV96 ) )
= $true )
| ( ( ( ( SV141 @ SV96 )
!= SV175 )
| ~ ! [SY467: refine424419629nres_a,SY468: refine424419629nres_a] :
( ~ ( ord_le519537037nres_a @ SY467 @ SY468 )
| ( ord_le527798542nres_b @ ( SV141 @ SY467 ) @ ( SV141 @ SY468 ) ) )
| ( ord_le527798542nres_b @ ( SV141 @ SV38 ) @ SV175 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[860]) ).
thf(942,plain,
! [SV142: refine424419629nres_a,SV97: refine424419629nres_a,SV39: refine424419629nres_a] :
( ( ( ord_le519537037nres_a @ SV39 @ SV97 )
= $false )
| ( ( ~ ( ord_le519537037nres_a @ SV97 @ SV142 )
| ( ord_le519537037nres_a @ SV39 @ SV142 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[861]) ).
thf(943,plain,
! [SV176: refine432681134nres_b,SV143: refine424419629nres_a > refine432681134nres_b,SV98: refine424419629nres_a,SV41: refine424419629nres_a] :
( ( ( ~ ( ord_le519537037nres_a @ SV41 @ SV98 ) )
= $true )
| ( ( ~ ( ord_le527798542nres_b @ ( SV143 @ SV98 ) @ SV176 )
| ~ ! [SY470: refine424419629nres_a,SY471: refine424419629nres_a] :
( ~ ( ord_le519537037nres_a @ SY470 @ SY471 )
| ( ord_le527798542nres_b @ ( SV143 @ SY470 ) @ ( SV143 @ SY471 ) ) )
| ( ord_le527798542nres_b @ ( SV143 @ SV41 ) @ SV176 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[862]) ).
thf(944,plain,
! [SV42: refine424419629nres_a,SV99: refine424419629nres_a] :
( ( ( ~ ( ( ord_le519537037nres_a @ SV99 @ SV42 )
| ( SV99 = SV42 ) )
| ~ ( ~ ( ord_le519537037nres_a @ SV99 @ SV42 )
| ( SV99 != SV42 ) ) )
= $true )
| ( ( ord_le519537037nres_a @ SV42 @ SV99 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[863]) ).
thf(945,plain,
! [SV42: refine424419629nres_a,SV99: refine424419629nres_a] :
( ( ( ( ord_le519537037nres_a @ SV99 @ SV42 )
= ( SV99 = SV42 ) )
= $true )
| ( ( ord_le519537037nres_a @ SV42 @ SV99 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[863]) ).
thf(946,plain,
! [SV197: refine432681134nres_b,SV177: set_Product_prod_a_b,SV144: refine424419629nres_a,SV100: set_Product_prod_a_a,SV43: refine424419629nres_a] :
( ( ~ ( ord_le519537037nres_a @ SV43 @ ( refine1441824853un_a_a @ SV100 @ SV144 ) )
| ~ ( ord_le519537037nres_a @ SV144 @ ( refine1441824854un_a_b @ SV177 @ SV197 ) )
| ( ord_le519537037nres_a @ SV43 @ ( refine1441824853un_a_a @ SV100 @ ( refine1441824854un_a_b @ SV177 @ SV197 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[864]) ).
thf(947,plain,
! [SV145: a,SV101: refine424419629nres_a,SV44: refine424419629nres_a] :
( ( ( ord_le519537037nres_a @ SV44 @ SV101 )
= $false )
| ( ( ~ ( refine1001002027nres_a @ SV44 @ SV145 )
| ( refine1001002027nres_a @ SV101 @ SV145 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[865]) ).
thf(948,plain,
! [SV178: refine424419629nres_a,SV146: set_Product_prod_a_a,SV102: refine424419629nres_a,SV45: refine424419629nres_a] :
( ( ( ~ ( ord_le519537037nres_a @ SV45 @ SV102 ) )
= $true )
| ( ( ~ ( ord_le519537037nres_a @ ( refine1136779702un_a_a @ SV146 @ SV102 ) @ SV178 )
| ( ord_le519537037nres_a @ ( refine1136779702un_a_a @ SV146 @ SV45 ) @ SV178 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[866]) ).
thf(949,plain,
! [SV147: refine424419629nres_a,SV103: refine424419629nres_a,SV47: refine424419629nres_a] :
( ( ( ord_le519537037nres_a @ SV47 @ SV103 )
= $false )
| ( ( ~ ( ord_le519537037nres_a @ SV147 @ SV47 )
| ( ord_le519537037nres_a @ SV147 @ SV103 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[867]) ).
thf(950,plain,
! [SV198: refine424419629nres_a,SV179: refine424419629nres_a,SV148: refine424419629nres_a,SV104: refine424419629nres_a,SV48: $o] :
( ( ~ ( ~ SV48
| ( ord_le519537037nres_a @ SV104 @ SV148 ) )
| ~ ( ~ ~ SV48
| ( ord_le519537037nres_a @ SV179 @ SV198 ) )
| ( ord_le519537037nres_a @ ( if_Ref1724547303nres_a @ SV48 @ SV104 @ SV179 ) @ ( if_Ref1724547303nres_a @ SV48 @ SV148 @ SV198 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[868]) ).
thf(951,plain,
! [SV199: refine424419629nres_a,SV180: refine424419629nres_a,SV149: refine424419629nres_a,SV105: refine424419629nres_a] :
( ( ~ ( ~ $true
| ( ord_le519537037nres_a @ SV105 @ SV149 ) )
| ~ ( ~ ~ $true
| ( ord_le519537037nres_a @ SV180 @ SV199 ) )
| ( ord_le519537037nres_a @ ( if_Ref1724547303nres_a @ $true @ SV105 @ SV180 ) @ ( if_Ref1724547303nres_a @ $true @ SV149 @ SV199 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[869]) ).
thf(952,plain,
! [SV200: refine424419629nres_a,SV181: refine424419629nres_a,SV150: refine424419629nres_a,SV106: refine424419629nres_a] :
( ( ~ ( ~ $false
| ( ord_le519537037nres_a @ SV106 @ SV150 ) )
| ~ ( ~ ~ $false
| ( ord_le519537037nres_a @ SV181 @ SV200 ) )
| ( ord_le519537037nres_a @ ( if_Ref1724547303nres_a @ $false @ SV106 @ SV181 ) @ ( if_Ref1724547303nres_a @ $false @ SV150 @ SV200 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[870]) ).
thf(953,plain,
! [SV182: refine424419629nres_a,SV151: refine424419629nres_a,SV107: refine424419629nres_a > refine424419629nres_a,SV49: refine424419629nres_a] :
( ( ( SV49
!= ( SV107 @ SV151 ) )
= $true )
| ( ( ~ ( ord_le519537037nres_a @ SV151 @ SV182 )
| ~ ! [SY406: refine424419629nres_a,SY407: refine424419629nres_a] :
( ~ ( ord_le519537037nres_a @ SY406 @ SY407 )
| ( ord_le519537037nres_a @ ( SV107 @ SY406 ) @ ( SV107 @ SY407 ) ) )
| ( ord_le519537037nres_a @ SV49 @ ( SV107 @ SV182 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[871]) ).
thf(954,plain,
! [SV183: refine432681134nres_b,SV152: refine432681134nres_b,SV108: refine432681134nres_b > refine424419629nres_a,SV50: refine424419629nres_a] :
( ( ( ~ ( ord_le519537037nres_a @ SV50 @ ( SV108 @ SV152 ) ) )
= $true )
| ( ( ~ ( ord_le527798542nres_b @ SV152 @ SV183 )
| ~ ! [SY410: refine432681134nres_b,SY411: refine432681134nres_b] :
( ~ ( ord_le527798542nres_b @ SY410 @ SY411 )
| ( ord_le519537037nres_a @ ( SV108 @ SY410 ) @ ( SV108 @ SY411 ) ) )
| ( ord_le519537037nres_a @ SV50 @ ( SV108 @ SV183 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[872]) ).
thf(955,plain,
! [SV153: refine424419629nres_a,SV109: refine424419629nres_a,SV51: refine424419629nres_a] :
( ( ( ord_le519537037nres_a @ SV51 @ SV109 )
= $false )
| ( ( ( SV109 != SV153 )
| ( ord_le519537037nres_a @ SV51 @ SV153 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[873]) ).
thf(956,plain,
! [SV184: refine424419629nres_a,SV154: refine432681134nres_b > refine424419629nres_a,SV110: refine432681134nres_b,SV52: refine432681134nres_b] :
( ( ( ~ ( ord_le527798542nres_b @ SV52 @ SV110 ) )
= $true )
| ( ( ( ( SV154 @ SV110 )
!= SV184 )
| ~ ! [SY488: refine432681134nres_b,SY489: refine432681134nres_b] :
( ~ ( ord_le527798542nres_b @ SY488 @ SY489 )
| ( ord_le519537037nres_a @ ( SV154 @ SY488 ) @ ( SV154 @ SY489 ) ) )
| ( ord_le519537037nres_a @ ( SV154 @ SV52 ) @ SV184 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[874]) ).
thf(957,plain,
! [SV53: refine432681134nres_b] :
( ( ( top_to240090974nres_b != SV53 )
= $false )
| ( ( ~ ( ~ ( ( top_to240090974nres_b != SV53 ) )
| ~ ( refine412683990fail_b @ SV53 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[875]) ).
thf(958,plain,
! [SV53: refine432681134nres_b] :
( ( ( refine412683990fail_b @ SV53 )
= $false )
| ( ( ~ ( ~ ( ( top_to240090974nres_b != SV53 ) )
| ~ ( refine412683990fail_b @ SV53 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[875]) ).
thf(959,plain,
! [SV185: refine424419629nres_a,SV155: refine424419629nres_a,SV111: refine424419629nres_a > refine432681134nres_b,SV54: refine432681134nres_b] :
( ( ( ~ ( ord_le527798542nres_b @ SV54 @ ( SV111 @ SV155 ) ) )
= $true )
| ( ( ~ ( ord_le519537037nres_a @ SV155 @ SV185 )
| ~ ! [SY419: refine424419629nres_a,SY420: refine424419629nres_a] :
( ~ ( ord_le519537037nres_a @ SY419 @ SY420 )
| ( ord_le527798542nres_b @ ( SV111 @ SY419 ) @ ( SV111 @ SY420 ) ) )
| ( ord_le527798542nres_b @ SV54 @ ( SV111 @ SV185 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[876]) ).
thf(960,plain,
! [SV156: $o,SV112: $o > refine424419629nres_a,SV55: $o > refine424419629nres_a] :
( ( ( ord_le516598614nres_a @ SV55 @ SV112 )
= $false )
| ( ( ord_le519537037nres_a @ ( SV55 @ SV156 ) @ ( SV112 @ SV156 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[877]) ).
thf(961,plain,
! [SV112: $o > refine424419629nres_a,SV55: $o > refine424419629nres_a] :
( ( ( ord_le516598614nres_a @ SV55 @ SV112 )
= $false )
| ( ( ord_le519537037nres_a @ ( SV55 @ $true ) @ ( SV112 @ $true ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[878]) ).
thf(962,plain,
! [SV112: $o > refine424419629nres_a,SV55: $o > refine424419629nres_a] :
( ( ( ord_le516598614nres_a @ SV55 @ SV112 )
= $false )
| ( ( ord_le519537037nres_a @ ( SV55 @ $false ) @ ( SV112 @ $false ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[879]) ).
thf(963,plain,
! [SV113: refine424419629nres_a,SV57: refine424419629nres_a > $o] :
( ( ( ~ ! [SY422: refine424419629nres_a] :
( ~ ( SV57 @ SY422 )
| ( ord_le519537037nres_a @ SY422 @ SV113 ) ) )
= $true )
| ( ( ( order_1714329108nres_a @ SV57 )
= SV113 )
= $true )
| ( ( SV57 @ SV113 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[880]) ).
thf(964,plain,
! [SV186: refine432681134nres_b,SV157: refine432681134nres_b,SV114: refine432681134nres_b > refine424419629nres_a,SV58: refine424419629nres_a] :
( ( ( SV58
!= ( SV114 @ SV157 ) )
= $true )
| ( ( ~ ( ord_le527798542nres_b @ SV157 @ SV186 )
| ~ ! [SY425: refine432681134nres_b,SY426: refine432681134nres_b] :
( ~ ( ord_le527798542nres_b @ SY425 @ SY426 )
| ( ord_le519537037nres_a @ ( SV114 @ SY425 ) @ ( SV114 @ SY426 ) ) )
| ( ord_le519537037nres_a @ SV58 @ ( SV114 @ SV186 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[881]) ).
thf(965,plain,
! [SV59: refine424419629nres_a,SV115: refine424419629nres_a] :
( ( ( ~ ( ord_le519537037nres_a @ SV115 @ SV59 ) )
= $true )
| ( ( SV59 = SV115 )
= $true )
| ( ( ord_le519537037nres_a @ SV59 @ SV115 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[882]) ).
thf(966,plain,
! [SV201: refine424419629nres_a,SV187: set_Product_prod_a_a,SV158: refine424419629nres_a,SV116: set_Product_prod_a_a,SV60: refine424419629nres_a] :
( ( ~ ( ord_le519537037nres_a @ SV60 @ ( refine1441824853un_a_a @ SV116 @ SV158 ) )
| ~ ( ord_le519537037nres_a @ SV158 @ ( refine1441824853un_a_a @ SV187 @ SV201 ) )
| ( ord_le519537037nres_a @ SV60 @ ( refine1441824853un_a_a @ SV116 @ ( refine1441824853un_a_a @ SV187 @ SV201 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[883]) ).
thf(967,plain,
! [SV61: refine424419629nres_a,SV117: refine424419629nres_a] :
( ( ( ~ ( refine412683989fail_a @ SV117 ) )
= $true )
| ( ( refine412683989fail_a @ SV61 )
= $true )
| ( ( ord_le519537037nres_a @ SV61 @ SV117 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[884]) ).
thf(968,plain,
! [SV188: refine424419629nres_a,SV159: refine424419629nres_a,SV118: refine424419629nres_a,SV62: refine424419629nres_a] :
( ( ( SV62 != SV118 )
= $true )
| ( ( ~ ( ord_le519537037nres_a @ SV118 @ SV159 )
| ( SV159 != SV188 )
| ( ord_le519537037nres_a @ SV62 @ SV188 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[885]) ).
thf(969,plain,
! [SV189: refine424419629nres_a,SV160: refine424419629nres_a,SV119: refine424419629nres_a > refine424419629nres_a,SV63: refine424419629nres_a] :
( ( ( ~ ( ord_le519537037nres_a @ SV63 @ ( SV119 @ SV160 ) ) )
= $true )
| ( ( ~ ( ord_le519537037nres_a @ SV160 @ SV189 )
| ~ ! [SY434: refine424419629nres_a,SY435: refine424419629nres_a] :
( ~ ( ord_le519537037nres_a @ SY434 @ SY435 )
| ( ord_le519537037nres_a @ ( SV119 @ SY434 ) @ ( SV119 @ SY435 ) ) )
| ( ord_le519537037nres_a @ SV63 @ ( SV119 @ SV189 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[886]) ).
thf(970,plain,
! [SV64: refine424419629nres_a,SV120: refine424419629nres_a] :
( ( ( ~ ( ord_le519537037nres_a @ SV120 @ SV64 ) )
= $true )
| ( ( SV120 = SV64 )
= $true )
| ( ( ord_le519537037nres_a @ SV64 @ SV120 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[887]) ).
thf(971,plain,
! [SV190: $o > refine424419629nres_a,SV121: $o > refine424419629nres_a] :
( ( ~ ( ( ord_le516598614nres_a @ SV121 @ SV190 )
| ~ ( ~ ( ord_le519537037nres_a @ ( SV121 @ $false ) @ ( SV190 @ $false ) )
| ~ ( ord_le519537037nres_a @ ( SV121 @ $true ) @ ( SV190 @ $true ) ) ) )
| ~ ( ~ ( ord_le516598614nres_a @ SV121 @ SV190 )
| ~ ~ ( ~ ( ord_le519537037nres_a @ ( SV121 @ $false ) @ ( SV190 @ $false ) )
| ~ ( ord_le519537037nres_a @ ( SV121 @ $true ) @ ( SV190 @ $true ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[888]) ).
thf(972,plain,
! [SV190: $o > refine424419629nres_a,SV121: $o > refine424419629nres_a] :
( ( ( ord_le516598614nres_a @ SV121 @ SV190 )
= ( ~ ( ~ ( ord_le519537037nres_a @ ( SV121 @ $false ) @ ( SV190 @ $false ) )
| ~ ( ord_le519537037nres_a @ ( SV121 @ $true ) @ ( SV190 @ $true ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[888]) ).
thf(973,plain,
! [SV162: refine424419629nres_a,SV122: refine424419629nres_a,SV66: refine424419629nres_a] :
( ( ( SV66 = SV122 )
= $false )
| ( ( ~ ( ord_le519537037nres_a @ SV122 @ SV162 )
| ( ord_le519537037nres_a @ SV66 @ SV162 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[889]) ).
thf(974,plain,
! [SV123: refine432681134nres_b] :
( ( ( ( refine412683990fail_b @ SV123 )
| ( SV123 != top_to240090974nres_b ) )
= $false )
| ( ( ~ ( ~ ( refine412683990fail_b @ SV123 )
| ~ ( ( SV123 != top_to240090974nres_b ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[890]) ).
thf(975,plain,
! [SV191: refine424419629nres_a,SV163: refine432681134nres_b > refine424419629nres_a,SV124: refine432681134nres_b,SV68: refine432681134nres_b] :
( ( ( ~ ( ord_le527798542nres_b @ SV68 @ SV124 ) )
= $true )
| ( ( ~ ( ord_le519537037nres_a @ ( SV163 @ SV124 ) @ SV191 )
| ~ ! [SY503: refine432681134nres_b,SY504: refine432681134nres_b] :
( ~ ( ord_le527798542nres_b @ SY503 @ SY504 )
| ( ord_le519537037nres_a @ ( SV163 @ SY503 ) @ ( SV163 @ SY504 ) ) )
| ( ord_le519537037nres_a @ ( SV163 @ SV68 ) @ SV191 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[891]) ).
thf(976,plain,
! [SV192: refine424419629nres_a,SV127: refine424419629nres_a] :
( ( ~ ( ( SV127 = SV192 )
| ~ ( ~ ( ord_le519537037nres_a @ SV127 @ SV192 )
| ~ ( ord_le519537037nres_a @ SV192 @ SV127 ) ) )
| ~ ( ( SV127 != SV192 )
| ~ ~ ( ~ ( ord_le519537037nres_a @ SV127 @ SV192 )
| ~ ( ord_le519537037nres_a @ SV192 @ SV127 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[894]) ).
thf(977,plain,
! [SV192: refine424419629nres_a,SV127: refine424419629nres_a] :
( ( ( SV127 = SV192 )
= ( ~ ( ~ ( ord_le519537037nres_a @ SV127 @ SV192 )
| ~ ( ord_le519537037nres_a @ SV192 @ SV127 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[894]) ).
thf(978,plain,
! [SV193: refine424419629nres_a,SV165: refine424419629nres_a,SV128: refine424419629nres_a > refine432681134nres_b,SV72: refine432681134nres_b] :
( ( ( SV72
!= ( SV128 @ SV165 ) )
= $true )
| ( ( ~ ( ord_le519537037nres_a @ SV165 @ SV193 )
| ~ ! [SY446: refine424419629nres_a,SY447: refine424419629nres_a] :
( ~ ( ord_le519537037nres_a @ SY446 @ SY447 )
| ( ord_le527798542nres_b @ ( SV128 @ SY446 ) @ ( SV128 @ SY447 ) ) )
| ( ord_le527798542nres_b @ SV72 @ ( SV128 @ SV193 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[895]) ).
thf(979,plain,
! [SV194: refine424419629nres_a,SV129: refine424419629nres_a] :
( ( ~ ( ( SV129 = SV194 )
| ~ ( ~ ( ord_le519537037nres_a @ SV129 @ SV194 )
| ~ ( ord_le519537037nres_a @ SV194 @ SV129 ) ) )
| ~ ( ( SV129 != SV194 )
| ~ ~ ( ~ ( ord_le519537037nres_a @ SV129 @ SV194 )
| ~ ( ord_le519537037nres_a @ SV194 @ SV129 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[896]) ).
thf(980,plain,
! [SV194: refine424419629nres_a,SV129: refine424419629nres_a] :
( ( ( SV129 = SV194 )
= ( ~ ( ~ ( ord_le519537037nres_a @ SV129 @ SV194 )
| ~ ( ord_le519537037nres_a @ SV194 @ SV129 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[896]) ).
thf(981,plain,
! [SV167: refine424419629nres_a,SV130: refine424419629nres_a,SV74: refine424419629nres_a] :
( ( ( ord_le519537037nres_a @ SV74 @ SV130 )
= $false )
| ( ( ~ ( ord_le519537037nres_a @ SV130 @ SV167 )
| ( ord_le519537037nres_a @ SV74 @ SV167 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[897]) ).
thf(982,plain,
! [SV195: refine424419629nres_a,SV168: refine424419629nres_a > refine424419629nres_a,SV131: refine424419629nres_a,SV76: refine424419629nres_a] :
( ( ( ~ ( ord_le519537037nres_a @ SV76 @ SV131 ) )
= $true )
| ( ( ( ( SV168 @ SV131 )
!= SV195 )
| ~ ! [SY509: refine424419629nres_a,SY510: refine424419629nres_a] :
( ~ ( ord_le519537037nres_a @ SY509 @ SY510 )
| ( ord_le519537037nres_a @ ( SV168 @ SY509 ) @ ( SV168 @ SY510 ) ) )
| ( ord_le519537037nres_a @ ( SV168 @ SV76 ) @ SV195 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[898]) ).
thf(983,plain,
! [SV1: refine432681134nres_b] :
( ( ( ~ ( ord_le527798542nres_b @ top_to240090974nres_b @ SV1 )
| ( SV1 != top_to240090974nres_b ) )
= $false )
| ( ( ord_le527798542nres_b @ top_to240090974nres_b @ SV1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[899]) ).
thf(984,plain,
! [SV1: refine432681134nres_b] :
( ( ( ~ ( ord_le527798542nres_b @ top_to240090974nres_b @ SV1 )
| ( SV1 != top_to240090974nres_b ) )
= $false )
| ( ( SV1 = top_to240090974nres_b )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[900]) ).
thf(985,plain,
! [SV2: refine424419629nres_a] :
( ( ( ~ ( ord_le519537037nres_a @ top_to231829469nres_a @ SV2 )
| ( SV2 != top_to231829469nres_a ) )
= $false )
| ( ( ord_le519537037nres_a @ top_to231829469nres_a @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[901]) ).
thf(986,plain,
! [SV2: refine424419629nres_a] :
( ( ( ~ ( ord_le519537037nres_a @ top_to231829469nres_a @ SV2 )
| ( SV2 != top_to231829469nres_a ) )
= $false )
| ( ( SV2 = top_to231829469nres_a )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[902]) ).
thf(987,plain,
! [SV77: refine432681134nres_b,SV3: set_Product_prod_b_b] :
( ( ( top_to240090974nres_b
= ( refine122110613un_b_b @ SV3 @ SV77 ) )
= $false )
| ( ( ~ ( ( top_to240090974nres_b
!= ( refine122110613un_b_b @ SV3 @ SV77 ) )
| ( SV77 != top_to240090974nres_b ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[903]) ).
thf(988,plain,
! [SV3: set_Product_prod_b_b,SV77: refine432681134nres_b] :
( ( ( SV77 = top_to240090974nres_b )
= $false )
| ( ( ~ ( ( top_to240090974nres_b
!= ( refine122110613un_b_b @ SV3 @ SV77 ) )
| ( SV77 != top_to240090974nres_b ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[903]) ).
thf(989,plain,
! [SV78: refine432681134nres_b,SV4: set_Product_prod_a_b] :
( ( ( top_to231829469nres_a
= ( refine1441824854un_a_b @ SV4 @ SV78 ) )
= $false )
| ( ( ~ ( ( top_to231829469nres_a
!= ( refine1441824854un_a_b @ SV4 @ SV78 ) )
| ( SV78 != top_to240090974nres_b ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[904]) ).
thf(990,plain,
! [SV4: set_Product_prod_a_b,SV78: refine432681134nres_b] :
( ( ( SV78 = top_to240090974nres_b )
= $false )
| ( ( ~ ( ( top_to231829469nres_a
!= ( refine1441824854un_a_b @ SV4 @ SV78 ) )
| ( SV78 != top_to240090974nres_b ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[904]) ).
thf(991,plain,
! [SV79: refine432681134nres_b,SV5: set_Product_prod_b_b] :
( ( ( ( refine122110613un_b_b @ SV5 @ SV79 )
= top_to240090974nres_b )
= $false )
| ( ( ~ ( ( ( refine122110613un_b_b @ SV5 @ SV79 )
!= top_to240090974nres_b )
| ( SV79 != top_to240090974nres_b ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[905]) ).
thf(992,plain,
! [SV5: set_Product_prod_b_b,SV79: refine432681134nres_b] :
( ( ( SV79 = top_to240090974nres_b )
= $false )
| ( ( ~ ( ( ( refine122110613un_b_b @ SV5 @ SV79 )
!= top_to240090974nres_b )
| ( SV79 != top_to240090974nres_b ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[905]) ).
thf(993,plain,
! [SV80: refine432681134nres_b,SV6: set_Product_prod_a_b] :
( ( ( ( refine1441824854un_a_b @ SV6 @ SV80 )
= top_to231829469nres_a )
= $false )
| ( ( ~ ( ( ( refine1441824854un_a_b @ SV6 @ SV80 )
!= top_to231829469nres_a )
| ( SV80 != top_to240090974nres_b ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[906]) ).
thf(994,plain,
! [SV6: set_Product_prod_a_b,SV80: refine432681134nres_b] :
( ( ( SV80 = top_to240090974nres_b )
= $false )
| ( ( ~ ( ( ( refine1441824854un_a_b @ SV6 @ SV80 )
!= top_to231829469nres_a )
| ( SV80 != top_to240090974nres_b ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[906]) ).
thf(995,plain,
! [SV14: refine424419629nres_a] :
( ( ( ~ ( ord_le519537037nres_a @ top_to231829469nres_a @ SV14 )
| ( SV14 != top_to231829469nres_a ) )
= $false )
| ( ( ord_le519537037nres_a @ top_to231829469nres_a @ SV14 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[907]) ).
thf(996,plain,
! [SV14: refine424419629nres_a] :
( ( ( ~ ( ord_le519537037nres_a @ top_to231829469nres_a @ SV14 )
| ( SV14 != top_to231829469nres_a ) )
= $false )
| ( ( SV14 = top_to231829469nres_a )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[908]) ).
thf(997,plain,
! [SV15: refine432681134nres_b] :
( ( ( ~ ( ord_le527798542nres_b @ top_to240090974nres_b @ SV15 )
| ( SV15 != top_to240090974nres_b ) )
= $false )
| ( ( ord_le527798542nres_b @ top_to240090974nres_b @ SV15 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[909]) ).
thf(998,plain,
! [SV15: refine432681134nres_b] :
( ( ( ~ ( ord_le527798542nres_b @ top_to240090974nres_b @ SV15 )
| ( SV15 != top_to240090974nres_b ) )
= $false )
| ( ( SV15 = top_to240090974nres_b )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[910]) ).
thf(999,plain,
! [SV169: $o > refine424419629nres_a,SV81: $o > refine424419629nres_a] :
( ( ( ~ ( ( ord_le516598614nres_a @ SV81 @ SV169 )
| ! [SY511: $o] : ( ord_le519537037nres_a @ ( SV81 @ SY511 ) @ ( SV169 @ SY511 ) ) ) )
= $true )
| ( ( ~ ( ~ ( ord_le516598614nres_a @ SV81 @ SV169 )
| ~ ! [SY511: $o] : ( ord_le519537037nres_a @ ( SV81 @ SY511 ) @ ( SV169 @ SY511 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[911]) ).
thf(1000,plain,
! [SV82: a,SV19: a] :
( ( ( ord_le519537037nres_a @ ( refine2063221604TURN_a @ SV19 ) @ ( refine2063221604TURN_a @ SV82 ) )
= $false )
| ( ( ~ ( ~ ( ord_le519537037nres_a @ ( refine2063221604TURN_a @ SV19 ) @ ( refine2063221604TURN_a @ SV82 ) )
| ( SV19 != SV82 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[913]) ).
thf(1001,plain,
! [SV82: a,SV19: a] :
( ( ( SV19 = SV82 )
= $false )
| ( ( ~ ( ~ ( ord_le519537037nres_a @ ( refine2063221604TURN_a @ SV19 ) @ ( refine2063221604TURN_a @ SV82 ) )
| ( SV19 != SV82 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[913]) ).
thf(1002,plain,
! [SV20: refine432681134nres_b] :
( ( ( refine412683990fail_b @ SV20 )
= $true )
| ( ( ~ ( ~ ~ ( refine412683990fail_b @ SV20 )
| ( SV20 != top_to240090974nres_b ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[914]) ).
thf(1003,plain,
! [SV20: refine432681134nres_b] :
( ( ( ~ ~ ( refine412683990fail_b @ SV20 )
| ( SV20 != top_to240090974nres_b ) )
= $false )
| ( ( SV20 = top_to240090974nres_b )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[915]) ).
thf(1004,plain,
! [SV83: b] :
( ( ( refine1001002028nres_b @ top_to240090974nres_b @ SV83 )
= $false )
| ( ( ~ ( ~ ( refine1001002028nres_b @ top_to240090974nres_b @ SV83 )
| ~ $true ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[916]) ).
thf(1005,plain,
! [SV83: b] :
( ( $true = $false )
| ( ( ~ ( ~ ( refine1001002028nres_b @ top_to240090974nres_b @ SV83 )
| ~ $true ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[916]) ).
thf(1006,plain,
! [SV24: $o] :
( ( SV24 = $false )
| ( ( ~ ( ~ SV24
| ~ $true ) )
= $true )
| ( ( SV24 = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[917]) ).
thf(1007,plain,
! [SV24: $o] :
( ( $true = $false )
| ( ( ~ ( ~ SV24
| ~ $true ) )
= $true )
| ( ( SV24 = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[917]) ).
thf(1008,plain,
! [SV24: $o] :
( ( ( SV24
| $false )
= $false )
| ( ( ~ ( ~ SV24
| ~ $false ) )
= $true )
| ( ( SV24 = $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,
! [SV26: refine424419629nres_a,SV85: refine424419629nres_a] :
( ( ( ord_le519537037nres_a @ SV85 @ SV26 )
= $false )
| ( ( SV26 = SV85 )
= $true )
| ( ( ord_le519537037nres_a @ SV26 @ SV85 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[924]) ).
thf(1016,plain,
! [SV170: refine432681134nres_b,SV133: refine432681134nres_b,SV86: set_Product_prod_a_b,SV27: refine424419629nres_a] :
( ( ( ord_le519537037nres_a @ SV27 @ ( refine1441824854un_a_b @ SV86 @ SV133 ) )
= $false )
| ( ( ~ ( ord_le527798542nres_b @ SV133 @ SV170 )
| ( ord_le519537037nres_a @ SV27 @ ( refine1441824854un_a_b @ SV86 @ SV170 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[925]) ).
thf(1017,plain,
! [SV171: refine424419629nres_a,SV134: refine424419629nres_a > refine424419629nres_a,SV88: refine424419629nres_a,SV29: refine424419629nres_a] :
( ( ( ord_le519537037nres_a @ SV29 @ SV88 )
= $false )
| ( ( ~ ( ord_le519537037nres_a @ ( SV134 @ SV88 ) @ SV171 )
| ~ ! [SY458: refine424419629nres_a,SY459: refine424419629nres_a] :
( ~ ( ord_le519537037nres_a @ SY458 @ SY459 )
| ( ord_le519537037nres_a @ ( SV134 @ SY458 ) @ ( SV134 @ SY459 ) ) )
| ( ord_le519537037nres_a @ ( SV134 @ SV29 ) @ SV171 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[926]) ).
thf(1018,plain,
! [SV196: $o,SV172: refine424419629nres_a,SV137: refine424419629nres_a,SV91: refine424419629nres_a,SV32: refine424419629nres_a] :
( ( ( ~ ( ord_le519537037nres_a @ SV32 @ SV91 ) )
= $true )
| ( ( ~ ( ord_le519537037nres_a @ SV137 @ SV172 )
| ( ord_le519537037nres_a @ ( if_Ref1724547303nres_a @ SV196 @ SV32 @ SV137 ) @ ( if_Ref1724547303nres_a @ SV196 @ SV91 @ SV172 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[931]) ).
thf(1019,plain,
! [SV172: refine424419629nres_a,SV137: refine424419629nres_a,SV91: refine424419629nres_a,SV32: refine424419629nres_a] :
( ( ( ~ ( ord_le519537037nres_a @ SV32 @ SV91 ) )
= $true )
| ( ( ~ ( ord_le519537037nres_a @ SV137 @ SV172 )
| ( ord_le519537037nres_a @ ( if_Ref1724547303nres_a @ $true @ SV32 @ SV137 ) @ ( if_Ref1724547303nres_a @ $true @ SV91 @ SV172 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[932]) ).
thf(1020,plain,
! [SV172: refine424419629nres_a,SV137: refine424419629nres_a,SV91: refine424419629nres_a,SV32: refine424419629nres_a] :
( ( ( ~ ( ord_le519537037nres_a @ SV32 @ SV91 ) )
= $true )
| ( ( ~ ( ord_le519537037nres_a @ SV137 @ SV172 )
| ( ord_le519537037nres_a @ ( if_Ref1724547303nres_a @ $false @ SV32 @ SV137 ) @ ( if_Ref1724547303nres_a @ $false @ SV91 @ SV172 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[933]) ).
thf(1021,plain,
! [SV138: refine424419629nres_a > $o,SV92: refine424419629nres_a,SV33: refine424419629nres_a > $o] :
( ( ( ~ ! [SY372: refine424419629nres_a] :
( ~ ( SV33 @ SY372 )
| ( ord_le519537037nres_a @ SY372 @ SV92 ) ) )
= $true )
| ( ( ~ ! [SY463: refine424419629nres_a] :
( ~ ( SV33 @ SY463 )
| ~ ! [SY249: refine424419629nres_a] :
( ~ ( SV33 @ SY249 )
| ( ord_le519537037nres_a @ SY249 @ SY463 ) )
| ( SV138 @ SY463 ) )
| ( SV138 @ ( order_1714329108nres_a @ SV33 ) ) )
= $true )
| ( ( SV33 @ SV92 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[934]) ).
thf(1022,plain,
! [SV173: refine424419629nres_a,SV139: refine424419629nres_a,SV93: set_Product_prod_a_a,SV34: refine424419629nres_a] :
( ( ( ord_le519537037nres_a @ SV34 @ ( refine1441824853un_a_a @ SV93 @ SV139 ) )
= $false )
| ( ( ~ ( ord_le519537037nres_a @ SV139 @ SV173 )
| ( ord_le519537037nres_a @ SV34 @ ( refine1441824853un_a_a @ SV93 @ SV173 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[935]) ).
thf(1023,plain,
! [SV94: refine424419629nres_a,SV35: refine424419629nres_a] :
( ( ( refine412683989fail_a @ SV35 )
= $true )
| ( ( ord_le519537037nres_a @ SV94 @ SV35 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[936]) ).
thf(1024,plain,
! [SV36: refine432681134nres_b] :
( ( ( SV36
!= ( refine1198353289_RES_b @ ( sK2_SY254 @ SV36 ) ) )
= $false )
| ( ( SV36 = top_to240090974nres_b )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[938]) ).
thf(1025,plain,
! [SV174: refine424419629nres_a,SV95: refine424419629nres_a] :
( ( ( ~ ( ( SV95 = SV174 )
| ~ ( ~ ( ord_le519537037nres_a @ SV174 @ SV95 )
| ~ ( ord_le519537037nres_a @ SV95 @ SV174 ) ) ) )
= $true )
| ( ( ~ ( ( SV95 != SV174 )
| ~ ~ ( ~ ( ord_le519537037nres_a @ SV174 @ SV95 )
| ~ ( ord_le519537037nres_a @ SV95 @ SV174 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[939]) ).
thf(1026,plain,
! [SV175: refine432681134nres_b,SV141: refine424419629nres_a > refine432681134nres_b,SV96: refine424419629nres_a,SV38: refine424419629nres_a] :
( ( ( ord_le519537037nres_a @ SV38 @ SV96 )
= $false )
| ( ( ( ( SV141 @ SV96 )
!= SV175 )
| ~ ! [SY467: refine424419629nres_a,SY468: refine424419629nres_a] :
( ~ ( ord_le519537037nres_a @ SY467 @ SY468 )
| ( ord_le527798542nres_b @ ( SV141 @ SY467 ) @ ( SV141 @ SY468 ) ) )
| ( ord_le527798542nres_b @ ( SV141 @ SV38 ) @ SV175 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[941]) ).
thf(1027,plain,
! [SV39: refine424419629nres_a,SV142: refine424419629nres_a,SV97: refine424419629nres_a] :
( ( ( ~ ( ord_le519537037nres_a @ SV97 @ SV142 ) )
= $true )
| ( ( ord_le519537037nres_a @ SV39 @ SV142 )
= $true )
| ( ( ord_le519537037nres_a @ SV39 @ SV97 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[942]) ).
thf(1028,plain,
! [SV176: refine432681134nres_b,SV143: refine424419629nres_a > refine432681134nres_b,SV98: refine424419629nres_a,SV41: refine424419629nres_a] :
( ( ( ord_le519537037nres_a @ SV41 @ SV98 )
= $false )
| ( ( ~ ( ord_le527798542nres_b @ ( SV143 @ SV98 ) @ SV176 )
| ~ ! [SY470: refine424419629nres_a,SY471: refine424419629nres_a] :
( ~ ( ord_le519537037nres_a @ SY470 @ SY471 )
| ( ord_le527798542nres_b @ ( SV143 @ SY470 ) @ ( SV143 @ SY471 ) ) )
| ( ord_le527798542nres_b @ ( SV143 @ SV41 ) @ SV176 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[943]) ).
thf(1029,plain,
! [SV42: refine424419629nres_a,SV99: refine424419629nres_a] :
( ( ( ~ ( ( ord_le519537037nres_a @ SV99 @ SV42 )
| ( SV99 = SV42 ) ) )
= $true )
| ( ( ~ ( ~ ( ord_le519537037nres_a @ SV99 @ SV42 )
| ( SV99 != SV42 ) ) )
= $true )
| ( ( ord_le519537037nres_a @ SV42 @ SV99 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[944]) ).
thf(1030,plain,
! [SV197: refine432681134nres_b,SV177: set_Product_prod_a_b,SV144: refine424419629nres_a,SV100: set_Product_prod_a_a,SV43: refine424419629nres_a] :
( ( ( ~ ( ord_le519537037nres_a @ SV43 @ ( refine1441824853un_a_a @ SV100 @ SV144 ) ) )
= $true )
| ( ( ~ ( ord_le519537037nres_a @ SV144 @ ( refine1441824854un_a_b @ SV177 @ SV197 ) )
| ( ord_le519537037nres_a @ SV43 @ ( refine1441824853un_a_a @ SV100 @ ( refine1441824854un_a_b @ SV177 @ SV197 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[946]) ).
thf(1031,plain,
! [SV101: refine424419629nres_a,SV145: a,SV44: refine424419629nres_a] :
( ( ( ~ ( refine1001002027nres_a @ SV44 @ SV145 ) )
= $true )
| ( ( refine1001002027nres_a @ SV101 @ SV145 )
= $true )
| ( ( ord_le519537037nres_a @ SV44 @ SV101 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[947]) ).
thf(1032,plain,
! [SV178: refine424419629nres_a,SV146: set_Product_prod_a_a,SV102: refine424419629nres_a,SV45: refine424419629nres_a] :
( ( ( ord_le519537037nres_a @ SV45 @ SV102 )
= $false )
| ( ( ~ ( ord_le519537037nres_a @ ( refine1136779702un_a_a @ SV146 @ SV102 ) @ SV178 )
| ( ord_le519537037nres_a @ ( refine1136779702un_a_a @ SV146 @ SV45 ) @ SV178 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[948]) ).
thf(1033,plain,
! [SV103: refine424419629nres_a,SV47: refine424419629nres_a,SV147: refine424419629nres_a] :
( ( ( ~ ( ord_le519537037nres_a @ SV147 @ SV47 ) )
= $true )
| ( ( ord_le519537037nres_a @ SV147 @ SV103 )
= $true )
| ( ( ord_le519537037nres_a @ SV47 @ SV103 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[949]) ).
thf(1034,plain,
! [SV198: refine424419629nres_a,SV179: refine424419629nres_a,SV148: refine424419629nres_a,SV104: refine424419629nres_a,SV48: $o] :
( ( ( ~ ( ~ SV48
| ( ord_le519537037nres_a @ SV104 @ SV148 ) ) )
= $true )
| ( ( ~ ( ~ ~ SV48
| ( ord_le519537037nres_a @ SV179 @ SV198 ) )
| ( ord_le519537037nres_a @ ( if_Ref1724547303nres_a @ SV48 @ SV104 @ SV179 ) @ ( if_Ref1724547303nres_a @ SV48 @ SV148 @ SV198 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[950]) ).
thf(1035,plain,
! [SV199: refine424419629nres_a,SV180: refine424419629nres_a,SV149: refine424419629nres_a,SV105: refine424419629nres_a] :
( ( ( ~ ( ~ $true
| ( ord_le519537037nres_a @ SV105 @ SV149 ) ) )
= $true )
| ( ( ~ ( ~ ~ $true
| ( ord_le519537037nres_a @ SV180 @ SV199 ) )
| ( ord_le519537037nres_a @ ( if_Ref1724547303nres_a @ $true @ SV105 @ SV180 ) @ ( if_Ref1724547303nres_a @ $true @ SV149 @ SV199 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[951]) ).
thf(1036,plain,
! [SV200: refine424419629nres_a,SV181: refine424419629nres_a,SV150: refine424419629nres_a,SV106: refine424419629nres_a] :
( ( ( ~ ( ~ $false
| ( ord_le519537037nres_a @ SV106 @ SV150 ) ) )
= $true )
| ( ( ~ ( ~ ~ $false
| ( ord_le519537037nres_a @ SV181 @ SV200 ) )
| ( ord_le519537037nres_a @ ( if_Ref1724547303nres_a @ $false @ SV106 @ SV181 ) @ ( if_Ref1724547303nres_a @ $false @ SV150 @ SV200 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[952]) ).
thf(1037,plain,
! [SV182: refine424419629nres_a,SV151: refine424419629nres_a,SV107: refine424419629nres_a > refine424419629nres_a,SV49: refine424419629nres_a] :
( ( ( SV49
= ( SV107 @ SV151 ) )
= $false )
| ( ( ~ ( ord_le519537037nres_a @ SV151 @ SV182 )
| ~ ! [SY406: refine424419629nres_a,SY407: refine424419629nres_a] :
( ~ ( ord_le519537037nres_a @ SY406 @ SY407 )
| ( ord_le519537037nres_a @ ( SV107 @ SY406 ) @ ( SV107 @ SY407 ) ) )
| ( ord_le519537037nres_a @ SV49 @ ( SV107 @ SV182 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[953]) ).
thf(1038,plain,
! [SV183: refine432681134nres_b,SV152: refine432681134nres_b,SV108: refine432681134nres_b > refine424419629nres_a,SV50: refine424419629nres_a] :
( ( ( ord_le519537037nres_a @ SV50 @ ( SV108 @ SV152 ) )
= $false )
| ( ( ~ ( ord_le527798542nres_b @ SV152 @ SV183 )
| ~ ! [SY410: refine432681134nres_b,SY411: refine432681134nres_b] :
( ~ ( ord_le527798542nres_b @ SY410 @ SY411 )
| ( ord_le519537037nres_a @ ( SV108 @ SY410 ) @ ( SV108 @ SY411 ) ) )
| ( ord_le519537037nres_a @ SV50 @ ( SV108 @ SV183 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[954]) ).
thf(1039,plain,
! [SV51: refine424419629nres_a,SV153: refine424419629nres_a,SV109: refine424419629nres_a] :
( ( ( SV109 != SV153 )
= $true )
| ( ( ord_le519537037nres_a @ SV51 @ SV153 )
= $true )
| ( ( ord_le519537037nres_a @ SV51 @ SV109 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[955]) ).
thf(1040,plain,
! [SV184: refine424419629nres_a,SV154: refine432681134nres_b > refine424419629nres_a,SV110: refine432681134nres_b,SV52: refine432681134nres_b] :
( ( ( ord_le527798542nres_b @ SV52 @ SV110 )
= $false )
| ( ( ( ( SV154 @ SV110 )
!= SV184 )
| ~ ! [SY488: refine432681134nres_b,SY489: refine432681134nres_b] :
( ~ ( ord_le527798542nres_b @ SY488 @ SY489 )
| ( ord_le519537037nres_a @ ( SV154 @ SY488 ) @ ( SV154 @ SY489 ) ) )
| ( ord_le519537037nres_a @ ( SV154 @ SV52 ) @ SV184 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[956]) ).
thf(1041,plain,
! [SV53: refine432681134nres_b] :
( ( ( top_to240090974nres_b = SV53 )
= $true )
| ( ( ~ ( ~ ( ( top_to240090974nres_b != SV53 ) )
| ~ ( refine412683990fail_b @ SV53 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[957]) ).
thf(1042,plain,
! [SV53: refine432681134nres_b] :
( ( ( ~ ( ( top_to240090974nres_b != SV53 ) )
| ~ ( refine412683990fail_b @ SV53 ) )
= $false )
| ( ( refine412683990fail_b @ SV53 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[958]) ).
thf(1043,plain,
! [SV185: refine424419629nres_a,SV155: refine424419629nres_a,SV111: refine424419629nres_a > refine432681134nres_b,SV54: refine432681134nres_b] :
( ( ( ord_le527798542nres_b @ SV54 @ ( SV111 @ SV155 ) )
= $false )
| ( ( ~ ( ord_le519537037nres_a @ SV155 @ SV185 )
| ~ ! [SY419: refine424419629nres_a,SY420: refine424419629nres_a] :
( ~ ( ord_le519537037nres_a @ SY419 @ SY420 )
| ( ord_le527798542nres_b @ ( SV111 @ SY419 ) @ ( SV111 @ SY420 ) ) )
| ( ord_le527798542nres_b @ SV54 @ ( SV111 @ SV185 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[959]) ).
thf(1044,plain,
! [SV113: refine424419629nres_a,SV57: refine424419629nres_a > $o] :
( ( ( ! [SY422: refine424419629nres_a] :
( ~ ( SV57 @ SY422 )
| ( ord_le519537037nres_a @ SY422 @ SV113 ) ) )
= $false )
| ( ( ( order_1714329108nres_a @ SV57 )
= SV113 )
= $true )
| ( ( SV57 @ SV113 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[963]) ).
thf(1045,plain,
! [SV186: refine432681134nres_b,SV157: refine432681134nres_b,SV114: refine432681134nres_b > refine424419629nres_a,SV58: refine424419629nres_a] :
( ( ( SV58
= ( SV114 @ SV157 ) )
= $false )
| ( ( ~ ( ord_le527798542nres_b @ SV157 @ SV186 )
| ~ ! [SY425: refine432681134nres_b,SY426: refine432681134nres_b] :
( ~ ( ord_le527798542nres_b @ SY425 @ SY426 )
| ( ord_le519537037nres_a @ ( SV114 @ SY425 ) @ ( SV114 @ SY426 ) ) )
| ( ord_le519537037nres_a @ SV58 @ ( SV114 @ SV186 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[964]) ).
thf(1046,plain,
! [SV59: refine424419629nres_a,SV115: refine424419629nres_a] :
( ( ( ord_le519537037nres_a @ SV115 @ SV59 )
= $false )
| ( ( SV59 = SV115 )
= $true )
| ( ( ord_le519537037nres_a @ SV59 @ SV115 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[965]) ).
thf(1047,plain,
! [SV201: refine424419629nres_a,SV187: set_Product_prod_a_a,SV158: refine424419629nres_a,SV116: set_Product_prod_a_a,SV60: refine424419629nres_a] :
( ( ( ~ ( ord_le519537037nres_a @ SV60 @ ( refine1441824853un_a_a @ SV116 @ SV158 ) ) )
= $true )
| ( ( ~ ( ord_le519537037nres_a @ SV158 @ ( refine1441824853un_a_a @ SV187 @ SV201 ) )
| ( ord_le519537037nres_a @ SV60 @ ( refine1441824853un_a_a @ SV116 @ ( refine1441824853un_a_a @ SV187 @ SV201 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[966]) ).
thf(1048,plain,
! [SV61: refine424419629nres_a,SV117: refine424419629nres_a] :
( ( ( refine412683989fail_a @ SV117 )
= $false )
| ( ( refine412683989fail_a @ SV61 )
= $true )
| ( ( ord_le519537037nres_a @ SV61 @ SV117 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[967]) ).
thf(1049,plain,
! [SV188: refine424419629nres_a,SV159: refine424419629nres_a,SV118: refine424419629nres_a,SV62: refine424419629nres_a] :
( ( ( SV62 = SV118 )
= $false )
| ( ( ~ ( ord_le519537037nres_a @ SV118 @ SV159 )
| ( SV159 != SV188 )
| ( ord_le519537037nres_a @ SV62 @ SV188 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[968]) ).
thf(1050,plain,
! [SV189: refine424419629nres_a,SV160: refine424419629nres_a,SV119: refine424419629nres_a > refine424419629nres_a,SV63: refine424419629nres_a] :
( ( ( ord_le519537037nres_a @ SV63 @ ( SV119 @ SV160 ) )
= $false )
| ( ( ~ ( ord_le519537037nres_a @ SV160 @ SV189 )
| ~ ! [SY434: refine424419629nres_a,SY435: refine424419629nres_a] :
( ~ ( ord_le519537037nres_a @ SY434 @ SY435 )
| ( ord_le519537037nres_a @ ( SV119 @ SY434 ) @ ( SV119 @ SY435 ) ) )
| ( ord_le519537037nres_a @ SV63 @ ( SV119 @ SV189 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[969]) ).
thf(1051,plain,
! [SV64: refine424419629nres_a,SV120: refine424419629nres_a] :
( ( ( ord_le519537037nres_a @ SV120 @ SV64 )
= $false )
| ( ( SV120 = SV64 )
= $true )
| ( ( ord_le519537037nres_a @ SV64 @ SV120 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[970]) ).
thf(1052,plain,
! [SV190: $o > refine424419629nres_a,SV121: $o > refine424419629nres_a] :
( ( ( ~ ( ( ord_le516598614nres_a @ SV121 @ SV190 )
| ~ ( ~ ( ord_le519537037nres_a @ ( SV121 @ $false ) @ ( SV190 @ $false ) )
| ~ ( ord_le519537037nres_a @ ( SV121 @ $true ) @ ( SV190 @ $true ) ) ) ) )
= $true )
| ( ( ~ ( ~ ( ord_le516598614nres_a @ SV121 @ SV190 )
| ~ ~ ( ~ ( ord_le519537037nres_a @ ( SV121 @ $false ) @ ( SV190 @ $false ) )
| ~ ( ord_le519537037nres_a @ ( SV121 @ $true ) @ ( SV190 @ $true ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[971]) ).
thf(1053,plain,
! [SV66: refine424419629nres_a,SV162: refine424419629nres_a,SV122: refine424419629nres_a] :
( ( ( ~ ( ord_le519537037nres_a @ SV122 @ SV162 ) )
= $true )
| ( ( ord_le519537037nres_a @ SV66 @ SV162 )
= $true )
| ( ( SV66 = SV122 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[973]) ).
thf(1054,plain,
! [SV123: refine432681134nres_b] :
( ( ( refine412683990fail_b @ SV123 )
= $false )
| ( ( ~ ( ~ ( refine412683990fail_b @ SV123 )
| ~ ( ( SV123 != top_to240090974nres_b ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[974]) ).
thf(1055,plain,
! [SV123: refine432681134nres_b] :
( ( ( SV123 != top_to240090974nres_b )
= $false )
| ( ( ~ ( ~ ( refine412683990fail_b @ SV123 )
| ~ ( ( SV123 != top_to240090974nres_b ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[974]) ).
thf(1056,plain,
! [SV191: refine424419629nres_a,SV163: refine432681134nres_b > refine424419629nres_a,SV124: refine432681134nres_b,SV68: refine432681134nres_b] :
( ( ( ord_le527798542nres_b @ SV68 @ SV124 )
= $false )
| ( ( ~ ( ord_le519537037nres_a @ ( SV163 @ SV124 ) @ SV191 )
| ~ ! [SY503: refine432681134nres_b,SY504: refine432681134nres_b] :
( ~ ( ord_le527798542nres_b @ SY503 @ SY504 )
| ( ord_le519537037nres_a @ ( SV163 @ SY503 ) @ ( SV163 @ SY504 ) ) )
| ( ord_le519537037nres_a @ ( SV163 @ SV68 ) @ SV191 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[975]) ).
thf(1057,plain,
! [SV192: refine424419629nres_a,SV127: refine424419629nres_a] :
( ( ( ~ ( ( SV127 = SV192 )
| ~ ( ~ ( ord_le519537037nres_a @ SV127 @ SV192 )
| ~ ( ord_le519537037nres_a @ SV192 @ SV127 ) ) ) )
= $true )
| ( ( ~ ( ( SV127 != SV192 )
| ~ ~ ( ~ ( ord_le519537037nres_a @ SV127 @ SV192 )
| ~ ( ord_le519537037nres_a @ SV192 @ SV127 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[976]) ).
thf(1058,plain,
! [SV193: refine424419629nres_a,SV165: refine424419629nres_a,SV128: refine424419629nres_a > refine432681134nres_b,SV72: refine432681134nres_b] :
( ( ( SV72
= ( SV128 @ SV165 ) )
= $false )
| ( ( ~ ( ord_le519537037nres_a @ SV165 @ SV193 )
| ~ ! [SY446: refine424419629nres_a,SY447: refine424419629nres_a] :
( ~ ( ord_le519537037nres_a @ SY446 @ SY447 )
| ( ord_le527798542nres_b @ ( SV128 @ SY446 ) @ ( SV128 @ SY447 ) ) )
| ( ord_le527798542nres_b @ SV72 @ ( SV128 @ SV193 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[978]) ).
thf(1059,plain,
! [SV194: refine424419629nres_a,SV129: refine424419629nres_a] :
( ( ( ~ ( ( SV129 = SV194 )
| ~ ( ~ ( ord_le519537037nres_a @ SV129 @ SV194 )
| ~ ( ord_le519537037nres_a @ SV194 @ SV129 ) ) ) )
= $true )
| ( ( ~ ( ( SV129 != SV194 )
| ~ ~ ( ~ ( ord_le519537037nres_a @ SV129 @ SV194 )
| ~ ( ord_le519537037nres_a @ SV194 @ SV129 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[979]) ).
thf(1060,plain,
! [SV74: refine424419629nres_a,SV167: refine424419629nres_a,SV130: refine424419629nres_a] :
( ( ( ~ ( ord_le519537037nres_a @ SV130 @ SV167 ) )
= $true )
| ( ( ord_le519537037nres_a @ SV74 @ SV167 )
= $true )
| ( ( ord_le519537037nres_a @ SV74 @ SV130 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[981]) ).
thf(1061,plain,
! [SV195: refine424419629nres_a,SV168: refine424419629nres_a > refine424419629nres_a,SV131: refine424419629nres_a,SV76: refine424419629nres_a] :
( ( ( ord_le519537037nres_a @ SV76 @ SV131 )
= $false )
| ( ( ( ( SV168 @ SV131 )
!= SV195 )
| ~ ! [SY509: refine424419629nres_a,SY510: refine424419629nres_a] :
( ~ ( ord_le519537037nres_a @ SY509 @ SY510 )
| ( ord_le519537037nres_a @ ( SV168 @ SY509 ) @ ( SV168 @ SY510 ) ) )
| ( ord_le519537037nres_a @ ( SV168 @ SV76 ) @ SV195 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[982]) ).
thf(1062,plain,
! [SV1: refine432681134nres_b] :
( ( ( ~ ( ord_le527798542nres_b @ top_to240090974nres_b @ SV1 ) )
= $false )
| ( ( ord_le527798542nres_b @ top_to240090974nres_b @ SV1 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[983]) ).
thf(1063,plain,
! [SV1: refine432681134nres_b] :
( ( ( SV1 != top_to240090974nres_b )
= $false )
| ( ( ord_le527798542nres_b @ top_to240090974nres_b @ SV1 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[983]) ).
thf(1064,plain,
! [SV1: refine432681134nres_b] :
( ( ( ~ ( ord_le527798542nres_b @ top_to240090974nres_b @ SV1 ) )
= $false )
| ( ( SV1 = top_to240090974nres_b )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[984]) ).
thf(1065,plain,
! [SV1: refine432681134nres_b] :
( ( ( SV1 != top_to240090974nres_b )
= $false )
| ( ( SV1 = top_to240090974nres_b )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[984]) ).
thf(1066,plain,
! [SV2: refine424419629nres_a] :
( ( ( ~ ( ord_le519537037nres_a @ top_to231829469nres_a @ SV2 ) )
= $false )
| ( ( ord_le519537037nres_a @ top_to231829469nres_a @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[985]) ).
thf(1067,plain,
! [SV2: refine424419629nres_a] :
( ( ( SV2 != top_to231829469nres_a )
= $false )
| ( ( ord_le519537037nres_a @ top_to231829469nres_a @ SV2 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[985]) ).
thf(1068,plain,
! [SV2: refine424419629nres_a] :
( ( ( ~ ( ord_le519537037nres_a @ top_to231829469nres_a @ SV2 ) )
= $false )
| ( ( SV2 = top_to231829469nres_a )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[986]) ).
thf(1069,plain,
! [SV2: refine424419629nres_a] :
( ( ( SV2 != top_to231829469nres_a )
= $false )
| ( ( SV2 = top_to231829469nres_a )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[986]) ).
thf(1070,plain,
! [SV77: refine432681134nres_b,SV3: set_Product_prod_b_b] :
( ( ( ( top_to240090974nres_b
!= ( refine122110613un_b_b @ SV3 @ SV77 ) )
| ( SV77 != top_to240090974nres_b ) )
= $false )
| ( ( top_to240090974nres_b
= ( refine122110613un_b_b @ SV3 @ SV77 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[987]) ).
thf(1071,plain,
! [SV77: refine432681134nres_b,SV3: set_Product_prod_b_b] :
( ( ( ( top_to240090974nres_b
!= ( refine122110613un_b_b @ SV3 @ SV77 ) )
| ( SV77 != top_to240090974nres_b ) )
= $false )
| ( ( SV77 = top_to240090974nres_b )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[988]) ).
thf(1072,plain,
! [SV78: refine432681134nres_b,SV4: set_Product_prod_a_b] :
( ( ( ( top_to231829469nres_a
!= ( refine1441824854un_a_b @ SV4 @ SV78 ) )
| ( SV78 != top_to240090974nres_b ) )
= $false )
| ( ( top_to231829469nres_a
= ( refine1441824854un_a_b @ SV4 @ SV78 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[989]) ).
thf(1073,plain,
! [SV78: refine432681134nres_b,SV4: set_Product_prod_a_b] :
( ( ( ( top_to231829469nres_a
!= ( refine1441824854un_a_b @ SV4 @ SV78 ) )
| ( SV78 != top_to240090974nres_b ) )
= $false )
| ( ( SV78 = top_to240090974nres_b )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[990]) ).
thf(1074,plain,
! [SV79: refine432681134nres_b,SV5: set_Product_prod_b_b] :
( ( ( ( ( refine122110613un_b_b @ SV5 @ SV79 )
!= top_to240090974nres_b )
| ( SV79 != top_to240090974nres_b ) )
= $false )
| ( ( ( refine122110613un_b_b @ SV5 @ SV79 )
= top_to240090974nres_b )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[991]) ).
thf(1075,plain,
! [SV79: refine432681134nres_b,SV5: set_Product_prod_b_b] :
( ( ( ( ( refine122110613un_b_b @ SV5 @ SV79 )
!= top_to240090974nres_b )
| ( SV79 != top_to240090974nres_b ) )
= $false )
| ( ( SV79 = top_to240090974nres_b )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[992]) ).
thf(1076,plain,
! [SV80: refine432681134nres_b,SV6: set_Product_prod_a_b] :
( ( ( ( ( refine1441824854un_a_b @ SV6 @ SV80 )
!= top_to231829469nres_a )
| ( SV80 != top_to240090974nres_b ) )
= $false )
| ( ( ( refine1441824854un_a_b @ SV6 @ SV80 )
= top_to231829469nres_a )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[993]) ).
thf(1077,plain,
! [SV80: refine432681134nres_b,SV6: set_Product_prod_a_b] :
( ( ( ( ( refine1441824854un_a_b @ SV6 @ SV80 )
!= top_to231829469nres_a )
| ( SV80 != top_to240090974nres_b ) )
= $false )
| ( ( SV80 = top_to240090974nres_b )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[994]) ).
thf(1078,plain,
! [SV14: refine424419629nres_a] :
( ( ( ~ ( ord_le519537037nres_a @ top_to231829469nres_a @ SV14 ) )
= $false )
| ( ( ord_le519537037nres_a @ top_to231829469nres_a @ SV14 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[995]) ).
thf(1079,plain,
! [SV14: refine424419629nres_a] :
( ( ( SV14 != top_to231829469nres_a )
= $false )
| ( ( ord_le519537037nres_a @ top_to231829469nres_a @ SV14 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[995]) ).
thf(1080,plain,
! [SV14: refine424419629nres_a] :
( ( ( ~ ( ord_le519537037nres_a @ top_to231829469nres_a @ SV14 ) )
= $false )
| ( ( SV14 = top_to231829469nres_a )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[996]) ).
thf(1081,plain,
! [SV14: refine424419629nres_a] :
( ( ( SV14 != top_to231829469nres_a )
= $false )
| ( ( SV14 = top_to231829469nres_a )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[996]) ).
thf(1082,plain,
! [SV15: refine432681134nres_b] :
( ( ( ~ ( ord_le527798542nres_b @ top_to240090974nres_b @ SV15 ) )
= $false )
| ( ( ord_le527798542nres_b @ top_to240090974nres_b @ SV15 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[997]) ).
thf(1083,plain,
! [SV15: refine432681134nres_b] :
( ( ( SV15 != top_to240090974nres_b )
= $false )
| ( ( ord_le527798542nres_b @ top_to240090974nres_b @ SV15 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[997]) ).
thf(1084,plain,
! [SV15: refine432681134nres_b] :
( ( ( ~ ( ord_le527798542nres_b @ top_to240090974nres_b @ SV15 ) )
= $false )
| ( ( SV15 = top_to240090974nres_b )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[998]) ).
thf(1085,plain,
! [SV15: refine432681134nres_b] :
( ( ( SV15 != top_to240090974nres_b )
= $false )
| ( ( SV15 = top_to240090974nres_b )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[998]) ).
thf(1086,plain,
! [SV169: $o > refine424419629nres_a,SV81: $o > refine424419629nres_a] :
( ( ( ( ord_le516598614nres_a @ SV81 @ SV169 )
| ! [SY511: $o] : ( ord_le519537037nres_a @ ( SV81 @ SY511 ) @ ( SV169 @ SY511 ) ) )
= $false )
| ( ( ~ ( ~ ( ord_le516598614nres_a @ SV81 @ SV169 )
| ~ ! [SY511: $o] : ( ord_le519537037nres_a @ ( SV81 @ SY511 ) @ ( SV169 @ SY511 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[999]) ).
thf(1087,plain,
! [SV82: a,SV19: a] :
( ( ( ~ ( ord_le519537037nres_a @ ( refine2063221604TURN_a @ SV19 ) @ ( refine2063221604TURN_a @ SV82 ) )
| ( SV19 != SV82 ) )
= $false )
| ( ( ord_le519537037nres_a @ ( refine2063221604TURN_a @ SV19 ) @ ( refine2063221604TURN_a @ SV82 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1000]) ).
thf(1088,plain,
! [SV82: a,SV19: a] :
( ( ( ~ ( ord_le519537037nres_a @ ( refine2063221604TURN_a @ SV19 ) @ ( refine2063221604TURN_a @ SV82 ) )
| ( SV19 != SV82 ) )
= $false )
| ( ( SV19 = SV82 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1001]) ).
thf(1089,plain,
! [SV20: refine432681134nres_b] :
( ( ( ~ ~ ( refine412683990fail_b @ SV20 )
| ( SV20 != top_to240090974nres_b ) )
= $false )
| ( ( refine412683990fail_b @ SV20 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1002]) ).
thf(1090,plain,
! [SV20: refine432681134nres_b] :
( ( ( ~ ~ ( refine412683990fail_b @ SV20 ) )
= $false )
| ( ( SV20 = top_to240090974nres_b )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1003]) ).
thf(1091,plain,
! [SV20: refine432681134nres_b] :
( ( ( SV20 != top_to240090974nres_b )
= $false )
| ( ( SV20 = top_to240090974nres_b )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1003]) ).
thf(1092,plain,
! [SV83: b] :
( ( ( ~ ( refine1001002028nres_b @ top_to240090974nres_b @ SV83 )
| ~ $true )
= $false )
| ( ( refine1001002028nres_b @ top_to240090974nres_b @ SV83 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1004]) ).
thf(1093,plain,
! [SV83: b] :
( ( ( ~ ( refine1001002028nres_b @ top_to240090974nres_b @ SV83 )
| ~ $true )
= $false )
| ( $true = $false ) ),
inference(extcnf_not_pos,[status(thm)],[1005]) ).
thf(1094,plain,
! [SV24: $o] :
( ( ( ~ SV24
| ~ $true )
= $false )
| ( SV24 = $false )
| ( ( SV24 = $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1006]) ).
thf(1095,plain,
! [SV24: $o] :
( ( ( ~ SV24
| ~ $true )
= $false )
| ( $true = $false )
| ( ( SV24 = $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1007]) ).
thf(1096,plain,
! [SV24: $o] :
( ( SV24 = $false )
| ( ( ~ ( ~ SV24
| ~ $false ) )
= $true )
| ( ( SV24 = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1008]) ).
thf(1097,plain,
! [SV24: $o] :
( ( $false = $false )
| ( ( ~ ( ~ SV24
| ~ $false ) )
= $true )
| ( ( SV24 = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1008]) ).
thf(1098,plain,
( ( ( ~ $true
| ~ $true )
= $false )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1009]) ).
thf(1099,plain,
( ( ( ~ $true
| ~ $true )
= $false )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1010]) ).
thf(1100,plain,
( ( $true = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1011]) ).
thf(1101,plain,
( ( $false = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1011]) ).
thf(1102,plain,
( ( ( ~ $false
| ~ $true )
= $false )
| ( $false = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1012]) ).
thf(1103,plain,
( ( ( ~ $false
| ~ $true )
= $false )
| ( $true = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1013]) ).
thf(1104,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1014]) ).
thf(1105,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1014]) ).
thf(1106,plain,
! [SV86: set_Product_prod_a_b,SV27: refine424419629nres_a,SV170: refine432681134nres_b,SV133: refine432681134nres_b] :
( ( ( ~ ( ord_le527798542nres_b @ SV133 @ SV170 ) )
= $true )
| ( ( ord_le519537037nres_a @ SV27 @ ( refine1441824854un_a_b @ SV86 @ SV170 ) )
= $true )
| ( ( ord_le519537037nres_a @ SV27 @ ( refine1441824854un_a_b @ SV86 @ SV133 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1016]) ).
thf(1107,plain,
! [SV29: refine424419629nres_a,SV171: refine424419629nres_a,SV88: refine424419629nres_a,SV134: refine424419629nres_a > refine424419629nres_a] :
( ( ( ~ ( ord_le519537037nres_a @ ( SV134 @ SV88 ) @ SV171 ) )
= $true )
| ( ( ~ ! [SY458: refine424419629nres_a,SY459: refine424419629nres_a] :
( ~ ( ord_le519537037nres_a @ SY458 @ SY459 )
| ( ord_le519537037nres_a @ ( SV134 @ SY458 ) @ ( SV134 @ SY459 ) ) )
| ( ord_le519537037nres_a @ ( SV134 @ SV29 ) @ SV171 ) )
= $true )
| ( ( ord_le519537037nres_a @ SV29 @ SV88 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1017]) ).
thf(1108,plain,
! [SV196: $o,SV172: refine424419629nres_a,SV137: refine424419629nres_a,SV91: refine424419629nres_a,SV32: refine424419629nres_a] :
( ( ( ord_le519537037nres_a @ SV32 @ SV91 )
= $false )
| ( ( ~ ( ord_le519537037nres_a @ SV137 @ SV172 )
| ( ord_le519537037nres_a @ ( if_Ref1724547303nres_a @ SV196 @ SV32 @ SV137 ) @ ( if_Ref1724547303nres_a @ SV196 @ SV91 @ SV172 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1018]) ).
thf(1109,plain,
! [SV172: refine424419629nres_a,SV137: refine424419629nres_a,SV91: refine424419629nres_a,SV32: refine424419629nres_a] :
( ( ( ord_le519537037nres_a @ SV32 @ SV91 )
= $false )
| ( ( ~ ( ord_le519537037nres_a @ SV137 @ SV172 )
| ( ord_le519537037nres_a @ ( if_Ref1724547303nres_a @ $true @ SV32 @ SV137 ) @ ( if_Ref1724547303nres_a @ $true @ SV91 @ SV172 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1019]) ).
thf(1110,plain,
! [SV172: refine424419629nres_a,SV137: refine424419629nres_a,SV91: refine424419629nres_a,SV32: refine424419629nres_a] :
( ( ( ord_le519537037nres_a @ SV32 @ SV91 )
= $false )
| ( ( ~ ( ord_le519537037nres_a @ SV137 @ SV172 )
| ( ord_le519537037nres_a @ ( if_Ref1724547303nres_a @ $false @ SV32 @ SV137 ) @ ( if_Ref1724547303nres_a @ $false @ SV91 @ SV172 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1020]) ).
thf(1111,plain,
! [SV138: refine424419629nres_a > $o,SV92: refine424419629nres_a,SV33: refine424419629nres_a > $o] :
( ( ( ! [SY372: refine424419629nres_a] :
( ~ ( SV33 @ SY372 )
| ( ord_le519537037nres_a @ SY372 @ SV92 ) ) )
= $false )
| ( ( ~ ! [SY463: refine424419629nres_a] :
( ~ ( SV33 @ SY463 )
| ~ ! [SY249: refine424419629nres_a] :
( ~ ( SV33 @ SY249 )
| ( ord_le519537037nres_a @ SY249 @ SY463 ) )
| ( SV138 @ SY463 ) )
| ( SV138 @ ( order_1714329108nres_a @ SV33 ) ) )
= $true )
| ( ( SV33 @ SV92 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1021]) ).
thf(1112,plain,
! [SV93: set_Product_prod_a_a,SV34: refine424419629nres_a,SV173: refine424419629nres_a,SV139: refine424419629nres_a] :
( ( ( ~ ( ord_le519537037nres_a @ SV139 @ SV173 ) )
= $true )
| ( ( ord_le519537037nres_a @ SV34 @ ( refine1441824853un_a_a @ SV93 @ SV173 ) )
= $true )
| ( ( ord_le519537037nres_a @ SV34 @ ( refine1441824853un_a_a @ SV93 @ SV139 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1022]) ).
thf(1113,plain,
! [SV36: refine432681134nres_b] :
( ( ( SV36
= ( refine1198353289_RES_b @ ( sK2_SY254 @ SV36 ) ) )
= $true )
| ( ( SV36 = top_to240090974nres_b )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1024]) ).
thf(1114,plain,
! [SV174: refine424419629nres_a,SV95: refine424419629nres_a] :
( ( ( ( SV95 = SV174 )
| ~ ( ~ ( ord_le519537037nres_a @ SV174 @ SV95 )
| ~ ( ord_le519537037nres_a @ SV95 @ SV174 ) ) )
= $false )
| ( ( ~ ( ( SV95 != SV174 )
| ~ ~ ( ~ ( ord_le519537037nres_a @ SV174 @ SV95 )
| ~ ( ord_le519537037nres_a @ SV95 @ SV174 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1025]) ).
thf(1115,plain,
! [SV38: refine424419629nres_a,SV175: refine432681134nres_b,SV96: refine424419629nres_a,SV141: refine424419629nres_a > refine432681134nres_b] :
( ( ( ( SV141 @ SV96 )
!= SV175 )
= $true )
| ( ( ~ ! [SY467: refine424419629nres_a,SY468: refine424419629nres_a] :
( ~ ( ord_le519537037nres_a @ SY467 @ SY468 )
| ( ord_le527798542nres_b @ ( SV141 @ SY467 ) @ ( SV141 @ SY468 ) ) )
| ( ord_le527798542nres_b @ ( SV141 @ SV38 ) @ SV175 ) )
= $true )
| ( ( ord_le519537037nres_a @ SV38 @ SV96 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1026]) ).
thf(1116,plain,
! [SV39: refine424419629nres_a,SV142: refine424419629nres_a,SV97: refine424419629nres_a] :
( ( ( ord_le519537037nres_a @ SV97 @ SV142 )
= $false )
| ( ( ord_le519537037nres_a @ SV39 @ SV142 )
= $true )
| ( ( ord_le519537037nres_a @ SV39 @ SV97 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1027]) ).
thf(1117,plain,
! [SV41: refine424419629nres_a,SV176: refine432681134nres_b,SV98: refine424419629nres_a,SV143: refine424419629nres_a > refine432681134nres_b] :
( ( ( ~ ( ord_le527798542nres_b @ ( SV143 @ SV98 ) @ SV176 ) )
= $true )
| ( ( ~ ! [SY470: refine424419629nres_a,SY471: refine424419629nres_a] :
( ~ ( ord_le519537037nres_a @ SY470 @ SY471 )
| ( ord_le527798542nres_b @ ( SV143 @ SY470 ) @ ( SV143 @ SY471 ) ) )
| ( ord_le527798542nres_b @ ( SV143 @ SV41 ) @ SV176 ) )
= $true )
| ( ( ord_le519537037nres_a @ SV41 @ SV98 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1028]) ).
thf(1118,plain,
! [SV42: refine424419629nres_a,SV99: refine424419629nres_a] :
( ( ( ( ord_le519537037nres_a @ SV99 @ SV42 )
| ( SV99 = SV42 ) )
= $false )
| ( ( ~ ( ~ ( ord_le519537037nres_a @ SV99 @ SV42 )
| ( SV99 != SV42 ) ) )
= $true )
| ( ( ord_le519537037nres_a @ SV42 @ SV99 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1029]) ).
thf(1119,plain,
! [SV197: refine432681134nres_b,SV177: set_Product_prod_a_b,SV144: refine424419629nres_a,SV100: set_Product_prod_a_a,SV43: refine424419629nres_a] :
( ( ( ord_le519537037nres_a @ SV43 @ ( refine1441824853un_a_a @ SV100 @ SV144 ) )
= $false )
| ( ( ~ ( ord_le519537037nres_a @ SV144 @ ( refine1441824854un_a_b @ SV177 @ SV197 ) )
| ( ord_le519537037nres_a @ SV43 @ ( refine1441824853un_a_a @ SV100 @ ( refine1441824854un_a_b @ SV177 @ SV197 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1030]) ).
thf(1120,plain,
! [SV101: refine424419629nres_a,SV145: a,SV44: refine424419629nres_a] :
( ( ( refine1001002027nres_a @ SV44 @ SV145 )
= $false )
| ( ( refine1001002027nres_a @ SV101 @ SV145 )
= $true )
| ( ( ord_le519537037nres_a @ SV44 @ SV101 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1031]) ).
thf(1121,plain,
! [SV45: refine424419629nres_a,SV178: refine424419629nres_a,SV102: refine424419629nres_a,SV146: set_Product_prod_a_a] :
( ( ( ~ ( ord_le519537037nres_a @ ( refine1136779702un_a_a @ SV146 @ SV102 ) @ SV178 ) )
= $true )
| ( ( ord_le519537037nres_a @ ( refine1136779702un_a_a @ SV146 @ SV45 ) @ SV178 )
= $true )
| ( ( ord_le519537037nres_a @ SV45 @ SV102 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1032]) ).
thf(1122,plain,
! [SV103: refine424419629nres_a,SV47: refine424419629nres_a,SV147: refine424419629nres_a] :
( ( ( ord_le519537037nres_a @ SV147 @ SV47 )
= $false )
| ( ( ord_le519537037nres_a @ SV147 @ SV103 )
= $true )
| ( ( ord_le519537037nres_a @ SV47 @ SV103 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1033]) ).
thf(1123,plain,
! [SV198: refine424419629nres_a,SV179: refine424419629nres_a,SV148: refine424419629nres_a,SV104: refine424419629nres_a,SV48: $o] :
( ( ( ~ SV48
| ( ord_le519537037nres_a @ SV104 @ SV148 ) )
= $false )
| ( ( ~ ( ~ ~ SV48
| ( ord_le519537037nres_a @ SV179 @ SV198 ) )
| ( ord_le519537037nres_a @ ( if_Ref1724547303nres_a @ SV48 @ SV104 @ SV179 ) @ ( if_Ref1724547303nres_a @ SV48 @ SV148 @ SV198 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1034]) ).
thf(1124,plain,
! [SV199: refine424419629nres_a,SV180: refine424419629nres_a,SV149: refine424419629nres_a,SV105: refine424419629nres_a] :
( ( ( ~ $true
| ( ord_le519537037nres_a @ SV105 @ SV149 ) )
= $false )
| ( ( ~ ( ~ ~ $true
| ( ord_le519537037nres_a @ SV180 @ SV199 ) )
| ( ord_le519537037nres_a @ ( if_Ref1724547303nres_a @ $true @ SV105 @ SV180 ) @ ( if_Ref1724547303nres_a @ $true @ SV149 @ SV199 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1035]) ).
thf(1125,plain,
! [SV200: refine424419629nres_a,SV181: refine424419629nres_a,SV150: refine424419629nres_a,SV106: refine424419629nres_a] :
( ( ( ~ $false
| ( ord_le519537037nres_a @ SV106 @ SV150 ) )
= $false )
| ( ( ~ ( ~ ~ $false
| ( ord_le519537037nres_a @ SV181 @ SV200 ) )
| ( ord_le519537037nres_a @ ( if_Ref1724547303nres_a @ $false @ SV106 @ SV181 ) @ ( if_Ref1724547303nres_a @ $false @ SV150 @ SV200 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1036]) ).
thf(1126,plain,
! [SV49: refine424419629nres_a,SV107: refine424419629nres_a > refine424419629nres_a,SV182: refine424419629nres_a,SV151: refine424419629nres_a] :
( ( ( ~ ( ord_le519537037nres_a @ SV151 @ SV182 ) )
= $true )
| ( ( ~ ! [SY406: refine424419629nres_a,SY407: refine424419629nres_a] :
( ~ ( ord_le519537037nres_a @ SY406 @ SY407 )
| ( ord_le519537037nres_a @ ( SV107 @ SY406 ) @ ( SV107 @ SY407 ) ) )
| ( ord_le519537037nres_a @ SV49 @ ( SV107 @ SV182 ) ) )
= $true )
| ( ( SV49
= ( SV107 @ SV151 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1037]) ).
thf(1127,plain,
! [SV50: refine424419629nres_a,SV108: refine432681134nres_b > refine424419629nres_a,SV183: refine432681134nres_b,SV152: refine432681134nres_b] :
( ( ( ~ ( ord_le527798542nres_b @ SV152 @ SV183 ) )
= $true )
| ( ( ~ ! [SY410: refine432681134nres_b,SY411: refine432681134nres_b] :
( ~ ( ord_le527798542nres_b @ SY410 @ SY411 )
| ( ord_le519537037nres_a @ ( SV108 @ SY410 ) @ ( SV108 @ SY411 ) ) )
| ( ord_le519537037nres_a @ SV50 @ ( SV108 @ SV183 ) ) )
= $true )
| ( ( ord_le519537037nres_a @ SV50 @ ( SV108 @ SV152 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1038]) ).
thf(1128,plain,
! [SV51: refine424419629nres_a,SV153: refine424419629nres_a,SV109: refine424419629nres_a] :
( ( ( SV109 = SV153 )
= $false )
| ( ( ord_le519537037nres_a @ SV51 @ SV153 )
= $true )
| ( ( ord_le519537037nres_a @ SV51 @ SV109 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1039]) ).
thf(1129,plain,
! [SV52: refine432681134nres_b,SV184: refine424419629nres_a,SV110: refine432681134nres_b,SV154: refine432681134nres_b > refine424419629nres_a] :
( ( ( ( SV154 @ SV110 )
!= SV184 )
= $true )
| ( ( ~ ! [SY488: refine432681134nres_b,SY489: refine432681134nres_b] :
( ~ ( ord_le527798542nres_b @ SY488 @ SY489 )
| ( ord_le519537037nres_a @ ( SV154 @ SY488 ) @ ( SV154 @ SY489 ) ) )
| ( ord_le519537037nres_a @ ( SV154 @ SV52 ) @ SV184 ) )
= $true )
| ( ( ord_le527798542nres_b @ SV52 @ SV110 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1040]) ).
thf(1130,plain,
! [SV53: refine432681134nres_b] :
( ( ( ~ ( ( top_to240090974nres_b != SV53 ) )
| ~ ( refine412683990fail_b @ SV53 ) )
= $false )
| ( ( top_to240090974nres_b = SV53 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1041]) ).
thf(1131,plain,
! [SV53: refine432681134nres_b] :
( ( ( ~ ( ( top_to240090974nres_b != SV53 ) ) )
= $false )
| ( ( refine412683990fail_b @ SV53 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1042]) ).
thf(1132,plain,
! [SV53: refine432681134nres_b] :
( ( ( ~ ( refine412683990fail_b @ SV53 ) )
= $false )
| ( ( refine412683990fail_b @ SV53 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1042]) ).
thf(1133,plain,
! [SV54: refine432681134nres_b,SV111: refine424419629nres_a > refine432681134nres_b,SV185: refine424419629nres_a,SV155: refine424419629nres_a] :
( ( ( ~ ( ord_le519537037nres_a @ SV155 @ SV185 ) )
= $true )
| ( ( ~ ! [SY419: refine424419629nres_a,SY420: refine424419629nres_a] :
( ~ ( ord_le519537037nres_a @ SY419 @ SY420 )
| ( ord_le527798542nres_b @ ( SV111 @ SY419 ) @ ( SV111 @ SY420 ) ) )
| ( ord_le527798542nres_b @ SV54 @ ( SV111 @ SV185 ) ) )
= $true )
| ( ( ord_le527798542nres_b @ SV54 @ ( SV111 @ SV155 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1043]) ).
thf(1134,plain,
! [SV113: refine424419629nres_a,SV57: refine424419629nres_a > $o] :
( ( ( ~ ( SV57 @ ( sK3_SY422 @ SV113 @ SV57 ) )
| ( ord_le519537037nres_a @ ( sK3_SY422 @ SV113 @ SV57 ) @ SV113 ) )
= $false )
| ( ( ( order_1714329108nres_a @ SV57 )
= SV113 )
= $true )
| ( ( SV57 @ SV113 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1044]) ).
thf(1135,plain,
! [SV58: refine424419629nres_a,SV114: refine432681134nres_b > refine424419629nres_a,SV186: refine432681134nres_b,SV157: refine432681134nres_b] :
( ( ( ~ ( ord_le527798542nres_b @ SV157 @ SV186 ) )
= $true )
| ( ( ~ ! [SY425: refine432681134nres_b,SY426: refine432681134nres_b] :
( ~ ( ord_le527798542nres_b @ SY425 @ SY426 )
| ( ord_le519537037nres_a @ ( SV114 @ SY425 ) @ ( SV114 @ SY426 ) ) )
| ( ord_le519537037nres_a @ SV58 @ ( SV114 @ SV186 ) ) )
= $true )
| ( ( SV58
= ( SV114 @ SV157 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1045]) ).
thf(1136,plain,
! [SV201: refine424419629nres_a,SV187: set_Product_prod_a_a,SV158: refine424419629nres_a,SV116: set_Product_prod_a_a,SV60: refine424419629nres_a] :
( ( ( ord_le519537037nres_a @ SV60 @ ( refine1441824853un_a_a @ SV116 @ SV158 ) )
= $false )
| ( ( ~ ( ord_le519537037nres_a @ SV158 @ ( refine1441824853un_a_a @ SV187 @ SV201 ) )
| ( ord_le519537037nres_a @ SV60 @ ( refine1441824853un_a_a @ SV116 @ ( refine1441824853un_a_a @ SV187 @ SV201 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1047]) ).
thf(1137,plain,
! [SV62: refine424419629nres_a,SV188: refine424419629nres_a,SV159: refine424419629nres_a,SV118: refine424419629nres_a] :
( ( ( ~ ( ord_le519537037nres_a @ SV118 @ SV159 ) )
= $true )
| ( ( ( SV159 != SV188 )
| ( ord_le519537037nres_a @ SV62 @ SV188 ) )
= $true )
| ( ( SV62 = SV118 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1049]) ).
thf(1138,plain,
! [SV63: refine424419629nres_a,SV119: refine424419629nres_a > refine424419629nres_a,SV189: refine424419629nres_a,SV160: refine424419629nres_a] :
( ( ( ~ ( ord_le519537037nres_a @ SV160 @ SV189 ) )
= $true )
| ( ( ~ ! [SY434: refine424419629nres_a,SY435: refine424419629nres_a] :
( ~ ( ord_le519537037nres_a @ SY434 @ SY435 )
| ( ord_le519537037nres_a @ ( SV119 @ SY434 ) @ ( SV119 @ SY435 ) ) )
| ( ord_le519537037nres_a @ SV63 @ ( SV119 @ SV189 ) ) )
= $true )
| ( ( ord_le519537037nres_a @ SV63 @ ( SV119 @ SV160 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1050]) ).
thf(1139,plain,
! [SV190: $o > refine424419629nres_a,SV121: $o > refine424419629nres_a] :
( ( ( ( ord_le516598614nres_a @ SV121 @ SV190 )
| ~ ( ~ ( ord_le519537037nres_a @ ( SV121 @ $false ) @ ( SV190 @ $false ) )
| ~ ( ord_le519537037nres_a @ ( SV121 @ $true ) @ ( SV190 @ $true ) ) ) )
= $false )
| ( ( ~ ( ~ ( ord_le516598614nres_a @ SV121 @ SV190 )
| ~ ~ ( ~ ( ord_le519537037nres_a @ ( SV121 @ $false ) @ ( SV190 @ $false ) )
| ~ ( ord_le519537037nres_a @ ( SV121 @ $true ) @ ( SV190 @ $true ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1052]) ).
thf(1140,plain,
! [SV66: refine424419629nres_a,SV162: refine424419629nres_a,SV122: refine424419629nres_a] :
( ( ( ord_le519537037nres_a @ SV122 @ SV162 )
= $false )
| ( ( ord_le519537037nres_a @ SV66 @ SV162 )
= $true )
| ( ( SV66 = SV122 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1053]) ).
thf(1141,plain,
! [SV123: refine432681134nres_b] :
( ( ( ~ ( refine412683990fail_b @ SV123 )
| ~ ( ( SV123 != top_to240090974nres_b ) ) )
= $false )
| ( ( refine412683990fail_b @ SV123 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1054]) ).
thf(1142,plain,
! [SV123: refine432681134nres_b] :
( ( ( SV123 = top_to240090974nres_b )
= $true )
| ( ( ~ ( ~ ( refine412683990fail_b @ SV123 )
| ~ ( ( SV123 != top_to240090974nres_b ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1055]) ).
thf(1143,plain,
! [SV68: refine432681134nres_b,SV191: refine424419629nres_a,SV124: refine432681134nres_b,SV163: refine432681134nres_b > refine424419629nres_a] :
( ( ( ~ ( ord_le519537037nres_a @ ( SV163 @ SV124 ) @ SV191 ) )
= $true )
| ( ( ~ ! [SY503: refine432681134nres_b,SY504: refine432681134nres_b] :
( ~ ( ord_le527798542nres_b @ SY503 @ SY504 )
| ( ord_le519537037nres_a @ ( SV163 @ SY503 ) @ ( SV163 @ SY504 ) ) )
| ( ord_le519537037nres_a @ ( SV163 @ SV68 ) @ SV191 ) )
= $true )
| ( ( ord_le527798542nres_b @ SV68 @ SV124 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1056]) ).
thf(1144,plain,
! [SV192: refine424419629nres_a,SV127: refine424419629nres_a] :
( ( ( ( SV127 = SV192 )
| ~ ( ~ ( ord_le519537037nres_a @ SV127 @ SV192 )
| ~ ( ord_le519537037nres_a @ SV192 @ SV127 ) ) )
= $false )
| ( ( ~ ( ( SV127 != SV192 )
| ~ ~ ( ~ ( ord_le519537037nres_a @ SV127 @ SV192 )
| ~ ( ord_le519537037nres_a @ SV192 @ SV127 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1057]) ).
thf(1145,plain,
! [SV72: refine432681134nres_b,SV128: refine424419629nres_a > refine432681134nres_b,SV193: refine424419629nres_a,SV165: refine424419629nres_a] :
( ( ( ~ ( ord_le519537037nres_a @ SV165 @ SV193 ) )
= $true )
| ( ( ~ ! [SY446: refine424419629nres_a,SY447: refine424419629nres_a] :
( ~ ( ord_le519537037nres_a @ SY446 @ SY447 )
| ( ord_le527798542nres_b @ ( SV128 @ SY446 ) @ ( SV128 @ SY447 ) ) )
| ( ord_le527798542nres_b @ SV72 @ ( SV128 @ SV193 ) ) )
= $true )
| ( ( SV72
= ( SV128 @ SV165 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1058]) ).
thf(1146,plain,
! [SV194: refine424419629nres_a,SV129: refine424419629nres_a] :
( ( ( ( SV129 = SV194 )
| ~ ( ~ ( ord_le519537037nres_a @ SV129 @ SV194 )
| ~ ( ord_le519537037nres_a @ SV194 @ SV129 ) ) )
= $false )
| ( ( ~ ( ( SV129 != SV194 )
| ~ ~ ( ~ ( ord_le519537037nres_a @ SV129 @ SV194 )
| ~ ( ord_le519537037nres_a @ SV194 @ SV129 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1059]) ).
thf(1147,plain,
! [SV74: refine424419629nres_a,SV167: refine424419629nres_a,SV130: refine424419629nres_a] :
( ( ( ord_le519537037nres_a @ SV130 @ SV167 )
= $false )
| ( ( ord_le519537037nres_a @ SV74 @ SV167 )
= $true )
| ( ( ord_le519537037nres_a @ SV74 @ SV130 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1060]) ).
thf(1148,plain,
! [SV76: refine424419629nres_a,SV195: refine424419629nres_a,SV131: refine424419629nres_a,SV168: refine424419629nres_a > refine424419629nres_a] :
( ( ( ( SV168 @ SV131 )
!= SV195 )
= $true )
| ( ( ~ ! [SY509: refine424419629nres_a,SY510: refine424419629nres_a] :
( ~ ( ord_le519537037nres_a @ SY509 @ SY510 )
| ( ord_le519537037nres_a @ ( SV168 @ SY509 ) @ ( SV168 @ SY510 ) ) )
| ( ord_le519537037nres_a @ ( SV168 @ SV76 ) @ SV195 ) )
= $true )
| ( ( ord_le519537037nres_a @ SV76 @ SV131 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1061]) ).
thf(1149,plain,
! [SV1: refine432681134nres_b] :
( ( ( ord_le527798542nres_b @ top_to240090974nres_b @ SV1 )
= $true )
| ( ( ord_le527798542nres_b @ top_to240090974nres_b @ SV1 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1062]) ).
thf(1150,plain,
! [SV1: refine432681134nres_b] :
( ( ( SV1 = top_to240090974nres_b )
= $true )
| ( ( ord_le527798542nres_b @ top_to240090974nres_b @ SV1 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1063]) ).
thf(1151,plain,
! [SV1: refine432681134nres_b] :
( ( ( ord_le527798542nres_b @ top_to240090974nres_b @ SV1 )
= $true )
| ( ( SV1 = top_to240090974nres_b )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1064]) ).
thf(1152,plain,
! [SV1: refine432681134nres_b] :
( ( ( SV1 = top_to240090974nres_b )
= $true )
| ( ( SV1 = top_to240090974nres_b )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1065]) ).
thf(1153,plain,
! [SV2: refine424419629nres_a] :
( ( ( ord_le519537037nres_a @ top_to231829469nres_a @ SV2 )
= $true )
| ( ( ord_le519537037nres_a @ top_to231829469nres_a @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1066]) ).
thf(1154,plain,
! [SV2: refine424419629nres_a] :
( ( ( SV2 = top_to231829469nres_a )
= $true )
| ( ( ord_le519537037nres_a @ top_to231829469nres_a @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1067]) ).
thf(1155,plain,
! [SV2: refine424419629nres_a] :
( ( ( ord_le519537037nres_a @ top_to231829469nres_a @ SV2 )
= $true )
| ( ( SV2 = top_to231829469nres_a )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1068]) ).
thf(1156,plain,
! [SV2: refine424419629nres_a] :
( ( ( SV2 = top_to231829469nres_a )
= $true )
| ( ( SV2 = top_to231829469nres_a )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1069]) ).
thf(1157,plain,
! [SV77: refine432681134nres_b,SV3: set_Product_prod_b_b] :
( ( ( top_to240090974nres_b
!= ( refine122110613un_b_b @ SV3 @ SV77 ) )
= $false )
| ( ( top_to240090974nres_b
= ( refine122110613un_b_b @ SV3 @ SV77 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1070]) ).
thf(1158,plain,
! [SV3: set_Product_prod_b_b,SV77: refine432681134nres_b] :
( ( ( SV77 != top_to240090974nres_b )
= $false )
| ( ( top_to240090974nres_b
= ( refine122110613un_b_b @ SV3 @ SV77 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1070]) ).
thf(1159,plain,
! [SV77: refine432681134nres_b,SV3: set_Product_prod_b_b] :
( ( ( top_to240090974nres_b
!= ( refine122110613un_b_b @ SV3 @ SV77 ) )
= $false )
| ( ( SV77 = top_to240090974nres_b )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1071]) ).
thf(1160,plain,
! [SV77: refine432681134nres_b] :
( ( ( SV77 != top_to240090974nres_b )
= $false )
| ( ( SV77 = top_to240090974nres_b )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1071]) ).
thf(1161,plain,
! [SV78: refine432681134nres_b,SV4: set_Product_prod_a_b] :
( ( ( top_to231829469nres_a
!= ( refine1441824854un_a_b @ SV4 @ SV78 ) )
= $false )
| ( ( top_to231829469nres_a
= ( refine1441824854un_a_b @ SV4 @ SV78 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1072]) ).
thf(1162,plain,
! [SV4: set_Product_prod_a_b,SV78: refine432681134nres_b] :
( ( ( SV78 != top_to240090974nres_b )
= $false )
| ( ( top_to231829469nres_a
= ( refine1441824854un_a_b @ SV4 @ SV78 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1072]) ).
thf(1163,plain,
! [SV78: refine432681134nres_b,SV4: set_Product_prod_a_b] :
( ( ( top_to231829469nres_a
!= ( refine1441824854un_a_b @ SV4 @ SV78 ) )
= $false )
| ( ( SV78 = top_to240090974nres_b )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1073]) ).
thf(1164,plain,
! [SV78: refine432681134nres_b] :
( ( ( SV78 != top_to240090974nres_b )
= $false )
| ( ( SV78 = top_to240090974nres_b )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1073]) ).
thf(1165,plain,
! [SV79: refine432681134nres_b,SV5: set_Product_prod_b_b] :
( ( ( ( refine122110613un_b_b @ SV5 @ SV79 )
!= top_to240090974nres_b )
= $false )
| ( ( ( refine122110613un_b_b @ SV5 @ SV79 )
= top_to240090974nres_b )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1074]) ).
thf(1166,plain,
! [SV5: set_Product_prod_b_b,SV79: refine432681134nres_b] :
( ( ( SV79 != top_to240090974nres_b )
= $false )
| ( ( ( refine122110613un_b_b @ SV5 @ SV79 )
= top_to240090974nres_b )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1074]) ).
thf(1167,plain,
! [SV79: refine432681134nres_b,SV5: set_Product_prod_b_b] :
( ( ( ( refine122110613un_b_b @ SV5 @ SV79 )
!= top_to240090974nres_b )
= $false )
| ( ( SV79 = top_to240090974nres_b )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1075]) ).
thf(1168,plain,
! [SV79: refine432681134nres_b] :
( ( ( SV79 != top_to240090974nres_b )
= $false )
| ( ( SV79 = top_to240090974nres_b )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1075]) ).
thf(1169,plain,
! [SV80: refine432681134nres_b,SV6: set_Product_prod_a_b] :
( ( ( ( refine1441824854un_a_b @ SV6 @ SV80 )
!= top_to231829469nres_a )
= $false )
| ( ( ( refine1441824854un_a_b @ SV6 @ SV80 )
= top_to231829469nres_a )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1076]) ).
thf(1170,plain,
! [SV6: set_Product_prod_a_b,SV80: refine432681134nres_b] :
( ( ( SV80 != top_to240090974nres_b )
= $false )
| ( ( ( refine1441824854un_a_b @ SV6 @ SV80 )
= top_to231829469nres_a )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1076]) ).
thf(1171,plain,
! [SV80: refine432681134nres_b,SV6: set_Product_prod_a_b] :
( ( ( ( refine1441824854un_a_b @ SV6 @ SV80 )
!= top_to231829469nres_a )
= $false )
| ( ( SV80 = top_to240090974nres_b )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1077]) ).
thf(1172,plain,
! [SV80: refine432681134nres_b] :
( ( ( SV80 != top_to240090974nres_b )
= $false )
| ( ( SV80 = top_to240090974nres_b )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1077]) ).
thf(1173,plain,
! [SV14: refine424419629nres_a] :
( ( ( ord_le519537037nres_a @ top_to231829469nres_a @ SV14 )
= $true )
| ( ( ord_le519537037nres_a @ top_to231829469nres_a @ SV14 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1078]) ).
thf(1174,plain,
! [SV14: refine424419629nres_a] :
( ( ( SV14 = top_to231829469nres_a )
= $true )
| ( ( ord_le519537037nres_a @ top_to231829469nres_a @ SV14 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1079]) ).
thf(1175,plain,
! [SV14: refine424419629nres_a] :
( ( ( ord_le519537037nres_a @ top_to231829469nres_a @ SV14 )
= $true )
| ( ( SV14 = top_to231829469nres_a )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1080]) ).
thf(1176,plain,
! [SV14: refine424419629nres_a] :
( ( ( SV14 = top_to231829469nres_a )
= $true )
| ( ( SV14 = top_to231829469nres_a )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1081]) ).
thf(1177,plain,
! [SV15: refine432681134nres_b] :
( ( ( ord_le527798542nres_b @ top_to240090974nres_b @ SV15 )
= $true )
| ( ( ord_le527798542nres_b @ top_to240090974nres_b @ SV15 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1082]) ).
thf(1178,plain,
! [SV15: refine432681134nres_b] :
( ( ( SV15 = top_to240090974nres_b )
= $true )
| ( ( ord_le527798542nres_b @ top_to240090974nres_b @ SV15 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1083]) ).
thf(1179,plain,
! [SV15: refine432681134nres_b] :
( ( ( ord_le527798542nres_b @ top_to240090974nres_b @ SV15 )
= $true )
| ( ( SV15 = top_to240090974nres_b )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1084]) ).
thf(1180,plain,
! [SV15: refine432681134nres_b] :
( ( ( SV15 = top_to240090974nres_b )
= $true )
| ( ( SV15 = top_to240090974nres_b )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1085]) ).
thf(1181,plain,
! [SV169: $o > refine424419629nres_a,SV81: $o > refine424419629nres_a] :
( ( ( ord_le516598614nres_a @ SV81 @ SV169 )
= $false )
| ( ( ~ ( ~ ( ord_le516598614nres_a @ SV81 @ SV169 )
| ~ ! [SY511: $o] : ( ord_le519537037nres_a @ ( SV81 @ SY511 ) @ ( SV169 @ SY511 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1086]) ).
thf(1182,plain,
! [SV169: $o > refine424419629nres_a,SV81: $o > refine424419629nres_a] :
( ( ( ! [SY511: $o] : ( ord_le519537037nres_a @ ( SV81 @ SY511 ) @ ( SV169 @ SY511 ) ) )
= $false )
| ( ( ~ ( ~ ( ord_le516598614nres_a @ SV81 @ SV169 )
| ~ ! [SY511: $o] : ( ord_le519537037nres_a @ ( SV81 @ SY511 ) @ ( SV169 @ SY511 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1086]) ).
thf(1183,plain,
! [SV82: a,SV19: a] :
( ( ( ~ ( ord_le519537037nres_a @ ( refine2063221604TURN_a @ SV19 ) @ ( refine2063221604TURN_a @ SV82 ) ) )
= $false )
| ( ( ord_le519537037nres_a @ ( refine2063221604TURN_a @ SV19 ) @ ( refine2063221604TURN_a @ SV82 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1087]) ).
thf(1184,plain,
! [SV82: a,SV19: a] :
( ( ( SV19 != SV82 )
= $false )
| ( ( ord_le519537037nres_a @ ( refine2063221604TURN_a @ SV19 ) @ ( refine2063221604TURN_a @ SV82 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1087]) ).
thf(1185,plain,
! [SV82: a,SV19: a] :
( ( ( ~ ( ord_le519537037nres_a @ ( refine2063221604TURN_a @ SV19 ) @ ( refine2063221604TURN_a @ SV82 ) ) )
= $false )
| ( ( SV19 = SV82 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1088]) ).
thf(1186,plain,
! [SV82: a,SV19: a] :
( ( ( SV19 != SV82 )
= $false )
| ( ( SV19 = SV82 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1088]) ).
thf(1187,plain,
! [SV20: refine432681134nres_b] :
( ( ( ~ ~ ( refine412683990fail_b @ SV20 ) )
= $false )
| ( ( refine412683990fail_b @ SV20 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1089]) ).
thf(1188,plain,
! [SV20: refine432681134nres_b] :
( ( ( SV20 != top_to240090974nres_b )
= $false )
| ( ( refine412683990fail_b @ SV20 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1089]) ).
thf(1189,plain,
! [SV20: refine432681134nres_b] :
( ( ( ~ ( refine412683990fail_b @ SV20 ) )
= $true )
| ( ( SV20 = top_to240090974nres_b )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1090]) ).
thf(1190,plain,
! [SV20: refine432681134nres_b] :
( ( ( SV20 = top_to240090974nres_b )
= $true )
| ( ( SV20 = top_to240090974nres_b )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1091]) ).
thf(1191,plain,
! [SV83: b] :
( ( ( ~ ( refine1001002028nres_b @ top_to240090974nres_b @ SV83 ) )
= $false )
| ( ( refine1001002028nres_b @ top_to240090974nres_b @ SV83 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1092]) ).
thf(1192,plain,
! [SV83: b] :
( ( ( ~ $true ) = $false )
| ( ( refine1001002028nres_b @ top_to240090974nres_b @ SV83 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1092]) ).
thf(1193,plain,
! [SV83: b] :
( ( ( ~ ( refine1001002028nres_b @ top_to240090974nres_b @ SV83 ) )
= $false )
| ( $true = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1093]) ).
thf(1194,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false ) ),
inference(extcnf_or_neg,[status(thm)],[1093]) ).
thf(1195,plain,
! [SV24: $o] :
( ( ( ~ SV24 ) = $false )
| ( SV24 = $false )
| ( ( SV24 = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1094]) ).
thf(1196,plain,
! [SV24: $o] :
( ( ( ~ $true ) = $false )
| ( SV24 = $false )
| ( ( SV24 = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1094]) ).
thf(1197,plain,
! [SV24: $o] :
( ( ( ~ SV24 ) = $false )
| ( $true = $false )
| ( ( SV24 = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1095]) ).
thf(1198,plain,
! [SV24: $o] :
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( ( SV24 = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1095]) ).
thf(1199,plain,
! [SV24: $o] :
( ( ( ~ SV24
| ~ $false )
= $false )
| ( SV24 = $false )
| ( ( SV24 = $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1096]) ).
thf(1200,plain,
! [SV24: $o] :
( ( ( ~ SV24
| ~ $false )
= $false )
| ( $false = $false )
| ( ( SV24 = $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1097]) ).
thf(1201,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1098]) ).
thf(1202,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1098]) ).
thf(1203,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1099]) ).
thf(1204,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1099]) ).
thf(1205,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $true = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1100]) ).
thf(1206,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $false = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1101]) ).
thf(1207,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1102]) ).
thf(1208,plain,
( ( ( ~ $true ) = $false )
| ( $false = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1102]) ).
thf(1209,plain,
( ( ( ~ $false ) = $false )
| ( $true = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1103]) ).
thf(1210,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1103]) ).
thf(1211,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1104]) ).
thf(1212,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1105]) ).
thf(1213,plain,
! [SV86: set_Product_prod_a_b,SV27: refine424419629nres_a,SV170: refine432681134nres_b,SV133: refine432681134nres_b] :
( ( ( ord_le527798542nres_b @ SV133 @ SV170 )
= $false )
| ( ( ord_le519537037nres_a @ SV27 @ ( refine1441824854un_a_b @ SV86 @ SV170 ) )
= $true )
| ( ( ord_le519537037nres_a @ SV27 @ ( refine1441824854un_a_b @ SV86 @ SV133 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1106]) ).
thf(1214,plain,
! [SV29: refine424419629nres_a,SV171: refine424419629nres_a,SV88: refine424419629nres_a,SV134: refine424419629nres_a > refine424419629nres_a] :
( ( ( ord_le519537037nres_a @ ( SV134 @ SV88 ) @ SV171 )
= $false )
| ( ( ~ ! [SY458: refine424419629nres_a,SY459: refine424419629nres_a] :
( ~ ( ord_le519537037nres_a @ SY458 @ SY459 )
| ( ord_le519537037nres_a @ ( SV134 @ SY458 ) @ ( SV134 @ SY459 ) ) )
| ( ord_le519537037nres_a @ ( SV134 @ SV29 ) @ SV171 ) )
= $true )
| ( ( ord_le519537037nres_a @ SV29 @ SV88 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1107]) ).
thf(1215,plain,
! [SV91: refine424419629nres_a,SV32: refine424419629nres_a,SV196: $o,SV172: refine424419629nres_a,SV137: refine424419629nres_a] :
( ( ( ~ ( ord_le519537037nres_a @ SV137 @ SV172 ) )
= $true )
| ( ( ord_le519537037nres_a @ ( if_Ref1724547303nres_a @ SV196 @ SV32 @ SV137 ) @ ( if_Ref1724547303nres_a @ SV196 @ SV91 @ SV172 ) )
= $true )
| ( ( ord_le519537037nres_a @ SV32 @ SV91 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1108]) ).
thf(1216,plain,
! [SV91: refine424419629nres_a,SV32: refine424419629nres_a,SV172: refine424419629nres_a,SV137: refine424419629nres_a] :
( ( ( ~ ( ord_le519537037nres_a @ SV137 @ SV172 ) )
= $true )
| ( ( ord_le519537037nres_a @ ( if_Ref1724547303nres_a @ $true @ SV32 @ SV137 ) @ ( if_Ref1724547303nres_a @ $true @ SV91 @ SV172 ) )
= $true )
| ( ( ord_le519537037nres_a @ SV32 @ SV91 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1109]) ).
thf(1217,plain,
! [SV91: refine424419629nres_a,SV32: refine424419629nres_a,SV172: refine424419629nres_a,SV137: refine424419629nres_a] :
( ( ( ~ ( ord_le519537037nres_a @ SV137 @ SV172 ) )
= $true )
| ( ( ord_le519537037nres_a @ ( if_Ref1724547303nres_a @ $false @ SV32 @ SV137 ) @ ( if_Ref1724547303nres_a @ $false @ SV91 @ SV172 ) )
= $true )
| ( ( ord_le519537037nres_a @ SV32 @ SV91 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1110]) ).
thf(1218,plain,
! [SV92: refine424419629nres_a,SV138: refine424419629nres_a > $o,SV33: refine424419629nres_a > $o] :
( ( ( ~ ( SV33 @ ( sK4_SY372 @ SV138 @ SV92 @ SV33 ) )
| ( ord_le519537037nres_a @ ( sK4_SY372 @ SV138 @ SV92 @ SV33 ) @ SV92 ) )
= $false )
| ( ( ~ ! [SY463: refine424419629nres_a] :
( ~ ( SV33 @ SY463 )
| ~ ! [SY249: refine424419629nres_a] :
( ~ ( SV33 @ SY249 )
| ( ord_le519537037nres_a @ SY249 @ SY463 ) )
| ( SV138 @ SY463 ) )
| ( SV138 @ ( order_1714329108nres_a @ SV33 ) ) )
= $true )
| ( ( SV33 @ SV92 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1111]) ).
thf(1219,plain,
! [SV93: set_Product_prod_a_a,SV34: refine424419629nres_a,SV173: refine424419629nres_a,SV139: refine424419629nres_a] :
( ( ( ord_le519537037nres_a @ SV139 @ SV173 )
= $false )
| ( ( ord_le519537037nres_a @ SV34 @ ( refine1441824853un_a_a @ SV93 @ SV173 ) )
= $true )
| ( ( ord_le519537037nres_a @ SV34 @ ( refine1441824853un_a_a @ SV93 @ SV139 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1112]) ).
thf(1220,plain,
! [SV174: refine424419629nres_a,SV95: refine424419629nres_a] :
( ( ( SV95 = SV174 )
= $false )
| ( ( ~ ( ( SV95 != SV174 )
| ~ ~ ( ~ ( ord_le519537037nres_a @ SV174 @ SV95 )
| ~ ( ord_le519537037nres_a @ SV95 @ SV174 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1114]) ).
thf(1221,plain,
! [SV95: refine424419629nres_a,SV174: refine424419629nres_a] :
( ( ( ~ ( ~ ( ord_le519537037nres_a @ SV174 @ SV95 )
| ~ ( ord_le519537037nres_a @ SV95 @ SV174 ) ) )
= $false )
| ( ( ~ ( ( SV95 != SV174 )
| ~ ~ ( ~ ( ord_le519537037nres_a @ SV174 @ SV95 )
| ~ ( ord_le519537037nres_a @ SV95 @ SV174 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1114]) ).
thf(1222,plain,
! [SV38: refine424419629nres_a,SV175: refine432681134nres_b,SV96: refine424419629nres_a,SV141: refine424419629nres_a > refine432681134nres_b] :
( ( ( ( SV141 @ SV96 )
= SV175 )
= $false )
| ( ( ~ ! [SY467: refine424419629nres_a,SY468: refine424419629nres_a] :
( ~ ( ord_le519537037nres_a @ SY467 @ SY468 )
| ( ord_le527798542nres_b @ ( SV141 @ SY467 ) @ ( SV141 @ SY468 ) ) )
| ( ord_le527798542nres_b @ ( SV141 @ SV38 ) @ SV175 ) )
= $true )
| ( ( ord_le519537037nres_a @ SV38 @ SV96 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1115]) ).
thf(1223,plain,
! [SV41: refine424419629nres_a,SV176: refine432681134nres_b,SV98: refine424419629nres_a,SV143: refine424419629nres_a > refine432681134nres_b] :
( ( ( ord_le527798542nres_b @ ( SV143 @ SV98 ) @ SV176 )
= $false )
| ( ( ~ ! [SY470: refine424419629nres_a,SY471: refine424419629nres_a] :
( ~ ( ord_le519537037nres_a @ SY470 @ SY471 )
| ( ord_le527798542nres_b @ ( SV143 @ SY470 ) @ ( SV143 @ SY471 ) ) )
| ( ord_le527798542nres_b @ ( SV143 @ SV41 ) @ SV176 ) )
= $true )
| ( ( ord_le519537037nres_a @ SV41 @ SV98 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1117]) ).
thf(1224,plain,
! [SV42: refine424419629nres_a,SV99: refine424419629nres_a] :
( ( ( ord_le519537037nres_a @ SV99 @ SV42 )
= $false )
| ( ( ~ ( ~ ( ord_le519537037nres_a @ SV99 @ SV42 )
| ( SV99 != SV42 ) ) )
= $true )
| ( ( ord_le519537037nres_a @ SV42 @ SV99 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1118]) ).
thf(1225,plain,
! [SV42: refine424419629nres_a,SV99: refine424419629nres_a] :
( ( ( SV99 = SV42 )
= $false )
| ( ( ~ ( ~ ( ord_le519537037nres_a @ SV99 @ SV42 )
| ( SV99 != SV42 ) ) )
= $true )
| ( ( ord_le519537037nres_a @ SV42 @ SV99 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1118]) ).
thf(1226,plain,
! [SV100: set_Product_prod_a_a,SV43: refine424419629nres_a,SV197: refine432681134nres_b,SV177: set_Product_prod_a_b,SV144: refine424419629nres_a] :
( ( ( ~ ( ord_le519537037nres_a @ SV144 @ ( refine1441824854un_a_b @ SV177 @ SV197 ) ) )
= $true )
| ( ( ord_le519537037nres_a @ SV43 @ ( refine1441824853un_a_a @ SV100 @ ( refine1441824854un_a_b @ SV177 @ SV197 ) ) )
= $true )
| ( ( ord_le519537037nres_a @ SV43 @ ( refine1441824853un_a_a @ SV100 @ SV144 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1119]) ).
thf(1227,plain,
! [SV45: refine424419629nres_a,SV178: refine424419629nres_a,SV102: refine424419629nres_a,SV146: set_Product_prod_a_a] :
( ( ( ord_le519537037nres_a @ ( refine1136779702un_a_a @ SV146 @ SV102 ) @ SV178 )
= $false )
| ( ( ord_le519537037nres_a @ ( refine1136779702un_a_a @ SV146 @ SV45 ) @ SV178 )
= $true )
| ( ( ord_le519537037nres_a @ SV45 @ SV102 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1121]) ).
thf(1228,plain,
! [SV148: refine424419629nres_a,SV104: refine424419629nres_a,SV198: refine424419629nres_a,SV179: refine424419629nres_a,SV48: $o] :
( ( ( ~ SV48 ) = $false )
| ( ( ~ ( ~ ~ SV48
| ( ord_le519537037nres_a @ SV179 @ SV198 ) )
| ( ord_le519537037nres_a @ ( if_Ref1724547303nres_a @ SV48 @ SV104 @ SV179 ) @ ( if_Ref1724547303nres_a @ SV48 @ SV148 @ SV198 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1123]) ).
thf(1229,plain,
! [SV198: refine424419629nres_a,SV179: refine424419629nres_a,SV48: $o,SV148: refine424419629nres_a,SV104: refine424419629nres_a] :
( ( ( ord_le519537037nres_a @ SV104 @ SV148 )
= $false )
| ( ( ~ ( ~ ~ SV48
| ( ord_le519537037nres_a @ SV179 @ SV198 ) )
| ( ord_le519537037nres_a @ ( if_Ref1724547303nres_a @ SV48 @ SV104 @ SV179 ) @ ( if_Ref1724547303nres_a @ SV48 @ SV148 @ SV198 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1123]) ).
thf(1230,plain,
! [SV149: refine424419629nres_a,SV105: refine424419629nres_a,SV199: refine424419629nres_a,SV180: refine424419629nres_a] :
( ( ( ~ $true ) = $false )
| ( ( ~ ( ~ ~ $true
| ( ord_le519537037nres_a @ SV180 @ SV199 ) )
| ( ord_le519537037nres_a @ ( if_Ref1724547303nres_a @ $true @ SV105 @ SV180 ) @ ( if_Ref1724547303nres_a @ $true @ SV149 @ SV199 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1124]) ).
thf(1231,plain,
! [SV199: refine424419629nres_a,SV180: refine424419629nres_a,SV149: refine424419629nres_a,SV105: refine424419629nres_a] :
( ( ( ord_le519537037nres_a @ SV105 @ SV149 )
= $false )
| ( ( ~ ( ~ ~ $true
| ( ord_le519537037nres_a @ SV180 @ SV199 ) )
| ( ord_le519537037nres_a @ ( if_Ref1724547303nres_a @ $true @ SV105 @ SV180 ) @ ( if_Ref1724547303nres_a @ $true @ SV149 @ SV199 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1124]) ).
thf(1232,plain,
! [SV150: refine424419629nres_a,SV106: refine424419629nres_a,SV200: refine424419629nres_a,SV181: refine424419629nres_a] :
( ( ( ~ $false ) = $false )
| ( ( ~ ( ~ ~ $false
| ( ord_le519537037nres_a @ SV181 @ SV200 ) )
| ( ord_le519537037nres_a @ ( if_Ref1724547303nres_a @ $false @ SV106 @ SV181 ) @ ( if_Ref1724547303nres_a @ $false @ SV150 @ SV200 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1125]) ).
thf(1233,plain,
! [SV200: refine424419629nres_a,SV181: refine424419629nres_a,SV150: refine424419629nres_a,SV106: refine424419629nres_a] :
( ( ( ord_le519537037nres_a @ SV106 @ SV150 )
= $false )
| ( ( ~ ( ~ ~ $false
| ( ord_le519537037nres_a @ SV181 @ SV200 ) )
| ( ord_le519537037nres_a @ ( if_Ref1724547303nres_a @ $false @ SV106 @ SV181 ) @ ( if_Ref1724547303nres_a @ $false @ SV150 @ SV200 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1125]) ).
thf(1234,plain,
! [SV49: refine424419629nres_a,SV107: refine424419629nres_a > refine424419629nres_a,SV182: refine424419629nres_a,SV151: refine424419629nres_a] :
( ( ( ord_le519537037nres_a @ SV151 @ SV182 )
= $false )
| ( ( ~ ! [SY406: refine424419629nres_a,SY407: refine424419629nres_a] :
( ~ ( ord_le519537037nres_a @ SY406 @ SY407 )
| ( ord_le519537037nres_a @ ( SV107 @ SY406 ) @ ( SV107 @ SY407 ) ) )
| ( ord_le519537037nres_a @ SV49 @ ( SV107 @ SV182 ) ) )
= $true )
| ( ( SV49
= ( SV107 @ SV151 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1126]) ).
thf(1235,plain,
! [SV50: refine424419629nres_a,SV108: refine432681134nres_b > refine424419629nres_a,SV183: refine432681134nres_b,SV152: refine432681134nres_b] :
( ( ( ord_le527798542nres_b @ SV152 @ SV183 )
= $false )
| ( ( ~ ! [SY410: refine432681134nres_b,SY411: refine432681134nres_b] :
( ~ ( ord_le527798542nres_b @ SY410 @ SY411 )
| ( ord_le519537037nres_a @ ( SV108 @ SY410 ) @ ( SV108 @ SY411 ) ) )
| ( ord_le519537037nres_a @ SV50 @ ( SV108 @ SV183 ) ) )
= $true )
| ( ( ord_le519537037nres_a @ SV50 @ ( SV108 @ SV152 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1127]) ).
thf(1236,plain,
! [SV52: refine432681134nres_b,SV184: refine424419629nres_a,SV110: refine432681134nres_b,SV154: refine432681134nres_b > refine424419629nres_a] :
( ( ( ( SV154 @ SV110 )
= SV184 )
= $false )
| ( ( ~ ! [SY488: refine432681134nres_b,SY489: refine432681134nres_b] :
( ~ ( ord_le527798542nres_b @ SY488 @ SY489 )
| ( ord_le519537037nres_a @ ( SV154 @ SY488 ) @ ( SV154 @ SY489 ) ) )
| ( ord_le519537037nres_a @ ( SV154 @ SV52 ) @ SV184 ) )
= $true )
| ( ( ord_le527798542nres_b @ SV52 @ SV110 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1129]) ).
thf(1237,plain,
! [SV53: refine432681134nres_b] :
( ( ( ~ ( ( top_to240090974nres_b != SV53 ) ) )
= $false )
| ( ( top_to240090974nres_b = SV53 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1130]) ).
thf(1238,plain,
! [SV53: refine432681134nres_b] :
( ( ( ~ ( refine412683990fail_b @ SV53 ) )
= $false )
| ( ( top_to240090974nres_b = SV53 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1130]) ).
thf(1239,plain,
! [SV53: refine432681134nres_b] :
( ( ( top_to240090974nres_b != SV53 )
= $true )
| ( ( refine412683990fail_b @ SV53 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1131]) ).
thf(1240,plain,
! [SV53: refine432681134nres_b] :
( ( ( refine412683990fail_b @ SV53 )
= $true )
| ( ( refine412683990fail_b @ SV53 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1132]) ).
thf(1241,plain,
! [SV54: refine432681134nres_b,SV111: refine424419629nres_a > refine432681134nres_b,SV185: refine424419629nres_a,SV155: refine424419629nres_a] :
( ( ( ord_le519537037nres_a @ SV155 @ SV185 )
= $false )
| ( ( ~ ! [SY419: refine424419629nres_a,SY420: refine424419629nres_a] :
( ~ ( ord_le519537037nres_a @ SY419 @ SY420 )
| ( ord_le527798542nres_b @ ( SV111 @ SY419 ) @ ( SV111 @ SY420 ) ) )
| ( ord_le527798542nres_b @ SV54 @ ( SV111 @ SV185 ) ) )
= $true )
| ( ( ord_le527798542nres_b @ SV54 @ ( SV111 @ SV155 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1133]) ).
thf(1242,plain,
! [SV113: refine424419629nres_a,SV57: refine424419629nres_a > $o] :
( ( ( ~ ( SV57 @ ( sK3_SY422 @ SV113 @ SV57 ) ) )
= $false )
| ( ( ( order_1714329108nres_a @ SV57 )
= SV113 )
= $true )
| ( ( SV57 @ SV113 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1134]) ).
thf(1243,plain,
! [SV57: refine424419629nres_a > $o,SV113: refine424419629nres_a] :
( ( ( ord_le519537037nres_a @ ( sK3_SY422 @ SV113 @ SV57 ) @ SV113 )
= $false )
| ( ( ( order_1714329108nres_a @ SV57 )
= SV113 )
= $true )
| ( ( SV57 @ SV113 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1134]) ).
thf(1244,plain,
! [SV58: refine424419629nres_a,SV114: refine432681134nres_b > refine424419629nres_a,SV186: refine432681134nres_b,SV157: refine432681134nres_b] :
( ( ( ord_le527798542nres_b @ SV157 @ SV186 )
= $false )
| ( ( ~ ! [SY425: refine432681134nres_b,SY426: refine432681134nres_b] :
( ~ ( ord_le527798542nres_b @ SY425 @ SY426 )
| ( ord_le519537037nres_a @ ( SV114 @ SY425 ) @ ( SV114 @ SY426 ) ) )
| ( ord_le519537037nres_a @ SV58 @ ( SV114 @ SV186 ) ) )
= $true )
| ( ( SV58
= ( SV114 @ SV157 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1135]) ).
thf(1245,plain,
! [SV116: set_Product_prod_a_a,SV60: refine424419629nres_a,SV201: refine424419629nres_a,SV187: set_Product_prod_a_a,SV158: refine424419629nres_a] :
( ( ( ~ ( ord_le519537037nres_a @ SV158 @ ( refine1441824853un_a_a @ SV187 @ SV201 ) ) )
= $true )
| ( ( ord_le519537037nres_a @ SV60 @ ( refine1441824853un_a_a @ SV116 @ ( refine1441824853un_a_a @ SV187 @ SV201 ) ) )
= $true )
| ( ( ord_le519537037nres_a @ SV60 @ ( refine1441824853un_a_a @ SV116 @ SV158 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1136]) ).
thf(1246,plain,
! [SV62: refine424419629nres_a,SV188: refine424419629nres_a,SV159: refine424419629nres_a,SV118: refine424419629nres_a] :
( ( ( ord_le519537037nres_a @ SV118 @ SV159 )
= $false )
| ( ( ( SV159 != SV188 )
| ( ord_le519537037nres_a @ SV62 @ SV188 ) )
= $true )
| ( ( SV62 = SV118 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1137]) ).
thf(1247,plain,
! [SV63: refine424419629nres_a,SV119: refine424419629nres_a > refine424419629nres_a,SV189: refine424419629nres_a,SV160: refine424419629nres_a] :
( ( ( ord_le519537037nres_a @ SV160 @ SV189 )
= $false )
| ( ( ~ ! [SY434: refine424419629nres_a,SY435: refine424419629nres_a] :
( ~ ( ord_le519537037nres_a @ SY434 @ SY435 )
| ( ord_le519537037nres_a @ ( SV119 @ SY434 ) @ ( SV119 @ SY435 ) ) )
| ( ord_le519537037nres_a @ SV63 @ ( SV119 @ SV189 ) ) )
= $true )
| ( ( ord_le519537037nres_a @ SV63 @ ( SV119 @ SV160 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1138]) ).
thf(1248,plain,
! [SV190: $o > refine424419629nres_a,SV121: $o > refine424419629nres_a] :
( ( ( ord_le516598614nres_a @ SV121 @ SV190 )
= $false )
| ( ( ~ ( ~ ( ord_le516598614nres_a @ SV121 @ SV190 )
| ~ ~ ( ~ ( ord_le519537037nres_a @ ( SV121 @ $false ) @ ( SV190 @ $false ) )
| ~ ( ord_le519537037nres_a @ ( SV121 @ $true ) @ ( SV190 @ $true ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1139]) ).
thf(1249,plain,
! [SV190: $o > refine424419629nres_a,SV121: $o > refine424419629nres_a] :
( ( ( ~ ( ~ ( ord_le519537037nres_a @ ( SV121 @ $false ) @ ( SV190 @ $false ) )
| ~ ( ord_le519537037nres_a @ ( SV121 @ $true ) @ ( SV190 @ $true ) ) ) )
= $false )
| ( ( ~ ( ~ ( ord_le516598614nres_a @ SV121 @ SV190 )
| ~ ~ ( ~ ( ord_le519537037nres_a @ ( SV121 @ $false ) @ ( SV190 @ $false ) )
| ~ ( ord_le519537037nres_a @ ( SV121 @ $true ) @ ( SV190 @ $true ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1139]) ).
thf(1250,plain,
! [SV123: refine432681134nres_b] :
( ( ( ~ ( refine412683990fail_b @ SV123 ) )
= $false )
| ( ( refine412683990fail_b @ SV123 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1141]) ).
thf(1251,plain,
! [SV123: refine432681134nres_b] :
( ( ( ~ ( ( SV123 != top_to240090974nres_b ) ) )
= $false )
| ( ( refine412683990fail_b @ SV123 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1141]) ).
thf(1252,plain,
! [SV123: refine432681134nres_b] :
( ( ( ~ ( refine412683990fail_b @ SV123 )
| ~ ( ( SV123 != top_to240090974nres_b ) ) )
= $false )
| ( ( SV123 = top_to240090974nres_b )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1142]) ).
thf(1253,plain,
! [SV68: refine432681134nres_b,SV191: refine424419629nres_a,SV124: refine432681134nres_b,SV163: refine432681134nres_b > refine424419629nres_a] :
( ( ( ord_le519537037nres_a @ ( SV163 @ SV124 ) @ SV191 )
= $false )
| ( ( ~ ! [SY503: refine432681134nres_b,SY504: refine432681134nres_b] :
( ~ ( ord_le527798542nres_b @ SY503 @ SY504 )
| ( ord_le519537037nres_a @ ( SV163 @ SY503 ) @ ( SV163 @ SY504 ) ) )
| ( ord_le519537037nres_a @ ( SV163 @ SV68 ) @ SV191 ) )
= $true )
| ( ( ord_le527798542nres_b @ SV68 @ SV124 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1143]) ).
thf(1254,plain,
! [SV192: refine424419629nres_a,SV127: refine424419629nres_a] :
( ( ( SV127 = SV192 )
= $false )
| ( ( ~ ( ( SV127 != SV192 )
| ~ ~ ( ~ ( ord_le519537037nres_a @ SV127 @ SV192 )
| ~ ( ord_le519537037nres_a @ SV192 @ SV127 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1144]) ).
thf(1255,plain,
! [SV192: refine424419629nres_a,SV127: refine424419629nres_a] :
( ( ( ~ ( ~ ( ord_le519537037nres_a @ SV127 @ SV192 )
| ~ ( ord_le519537037nres_a @ SV192 @ SV127 ) ) )
= $false )
| ( ( ~ ( ( SV127 != SV192 )
| ~ ~ ( ~ ( ord_le519537037nres_a @ SV127 @ SV192 )
| ~ ( ord_le519537037nres_a @ SV192 @ SV127 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1144]) ).
thf(1256,plain,
! [SV72: refine432681134nres_b,SV128: refine424419629nres_a > refine432681134nres_b,SV193: refine424419629nres_a,SV165: refine424419629nres_a] :
( ( ( ord_le519537037nres_a @ SV165 @ SV193 )
= $false )
| ( ( ~ ! [SY446: refine424419629nres_a,SY447: refine424419629nres_a] :
( ~ ( ord_le519537037nres_a @ SY446 @ SY447 )
| ( ord_le527798542nres_b @ ( SV128 @ SY446 ) @ ( SV128 @ SY447 ) ) )
| ( ord_le527798542nres_b @ SV72 @ ( SV128 @ SV193 ) ) )
= $true )
| ( ( SV72
= ( SV128 @ SV165 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1145]) ).
thf(1257,plain,
! [SV194: refine424419629nres_a,SV129: refine424419629nres_a] :
( ( ( SV129 = SV194 )
= $false )
| ( ( ~ ( ( SV129 != SV194 )
| ~ ~ ( ~ ( ord_le519537037nres_a @ SV129 @ SV194 )
| ~ ( ord_le519537037nres_a @ SV194 @ SV129 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1146]) ).
thf(1258,plain,
! [SV194: refine424419629nres_a,SV129: refine424419629nres_a] :
( ( ( ~ ( ~ ( ord_le519537037nres_a @ SV129 @ SV194 )
| ~ ( ord_le519537037nres_a @ SV194 @ SV129 ) ) )
= $false )
| ( ( ~ ( ( SV129 != SV194 )
| ~ ~ ( ~ ( ord_le519537037nres_a @ SV129 @ SV194 )
| ~ ( ord_le519537037nres_a @ SV194 @ SV129 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1146]) ).
thf(1259,plain,
! [SV76: refine424419629nres_a,SV195: refine424419629nres_a,SV131: refine424419629nres_a,SV168: refine424419629nres_a > refine424419629nres_a] :
( ( ( ( SV168 @ SV131 )
= SV195 )
= $false )
| ( ( ~ ! [SY509: refine424419629nres_a,SY510: refine424419629nres_a] :
( ~ ( ord_le519537037nres_a @ SY509 @ SY510 )
| ( ord_le519537037nres_a @ ( SV168 @ SY509 ) @ ( SV168 @ SY510 ) ) )
| ( ord_le519537037nres_a @ ( SV168 @ SV76 ) @ SV195 ) )
= $true )
| ( ( ord_le519537037nres_a @ SV76 @ SV131 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1148]) ).
thf(1260,plain,
! [SV77: refine432681134nres_b,SV3: set_Product_prod_b_b] :
( ( ( top_to240090974nres_b
= ( refine122110613un_b_b @ SV3 @ SV77 ) )
= $true )
| ( ( top_to240090974nres_b
= ( refine122110613un_b_b @ SV3 @ SV77 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1157]) ).
thf(1261,plain,
! [SV3: set_Product_prod_b_b,SV77: refine432681134nres_b] :
( ( ( SV77 = top_to240090974nres_b )
= $true )
| ( ( top_to240090974nres_b
= ( refine122110613un_b_b @ SV3 @ SV77 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1158]) ).
thf(1262,plain,
! [SV77: refine432681134nres_b,SV3: set_Product_prod_b_b] :
( ( ( top_to240090974nres_b
= ( refine122110613un_b_b @ SV3 @ SV77 ) )
= $true )
| ( ( SV77 = top_to240090974nres_b )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1159]) ).
thf(1263,plain,
! [SV77: refine432681134nres_b] :
( ( ( SV77 = top_to240090974nres_b )
= $true )
| ( ( SV77 = top_to240090974nres_b )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1160]) ).
thf(1264,plain,
! [SV78: refine432681134nres_b,SV4: set_Product_prod_a_b] :
( ( ( top_to231829469nres_a
= ( refine1441824854un_a_b @ SV4 @ SV78 ) )
= $true )
| ( ( top_to231829469nres_a
= ( refine1441824854un_a_b @ SV4 @ SV78 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1161]) ).
thf(1265,plain,
! [SV4: set_Product_prod_a_b,SV78: refine432681134nres_b] :
( ( ( SV78 = top_to240090974nres_b )
= $true )
| ( ( top_to231829469nres_a
= ( refine1441824854un_a_b @ SV4 @ SV78 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1162]) ).
thf(1266,plain,
! [SV78: refine432681134nres_b,SV4: set_Product_prod_a_b] :
( ( ( top_to231829469nres_a
= ( refine1441824854un_a_b @ SV4 @ SV78 ) )
= $true )
| ( ( SV78 = top_to240090974nres_b )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1163]) ).
thf(1267,plain,
! [SV78: refine432681134nres_b] :
( ( ( SV78 = top_to240090974nres_b )
= $true )
| ( ( SV78 = top_to240090974nres_b )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1164]) ).
thf(1268,plain,
! [SV79: refine432681134nres_b,SV5: set_Product_prod_b_b] :
( ( ( ( refine122110613un_b_b @ SV5 @ SV79 )
= top_to240090974nres_b )
= $true )
| ( ( ( refine122110613un_b_b @ SV5 @ SV79 )
= top_to240090974nres_b )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1165]) ).
thf(1269,plain,
! [SV5: set_Product_prod_b_b,SV79: refine432681134nres_b] :
( ( ( SV79 = top_to240090974nres_b )
= $true )
| ( ( ( refine122110613un_b_b @ SV5 @ SV79 )
= top_to240090974nres_b )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1166]) ).
thf(1270,plain,
! [SV79: refine432681134nres_b,SV5: set_Product_prod_b_b] :
( ( ( ( refine122110613un_b_b @ SV5 @ SV79 )
= top_to240090974nres_b )
= $true )
| ( ( SV79 = top_to240090974nres_b )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1167]) ).
thf(1271,plain,
! [SV79: refine432681134nres_b] :
( ( ( SV79 = top_to240090974nres_b )
= $true )
| ( ( SV79 = top_to240090974nres_b )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1168]) ).
thf(1272,plain,
! [SV80: refine432681134nres_b,SV6: set_Product_prod_a_b] :
( ( ( ( refine1441824854un_a_b @ SV6 @ SV80 )
= top_to231829469nres_a )
= $true )
| ( ( ( refine1441824854un_a_b @ SV6 @ SV80 )
= top_to231829469nres_a )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1169]) ).
thf(1273,plain,
! [SV6: set_Product_prod_a_b,SV80: refine432681134nres_b] :
( ( ( SV80 = top_to240090974nres_b )
= $true )
| ( ( ( refine1441824854un_a_b @ SV6 @ SV80 )
= top_to231829469nres_a )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1170]) ).
thf(1274,plain,
! [SV80: refine432681134nres_b,SV6: set_Product_prod_a_b] :
( ( ( ( refine1441824854un_a_b @ SV6 @ SV80 )
= top_to231829469nres_a )
= $true )
| ( ( SV80 = top_to240090974nres_b )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1171]) ).
thf(1275,plain,
! [SV80: refine432681134nres_b] :
( ( ( SV80 = top_to240090974nres_b )
= $true )
| ( ( SV80 = top_to240090974nres_b )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1172]) ).
thf(1276,plain,
! [SV169: $o > refine424419629nres_a,SV81: $o > refine424419629nres_a] :
( ( ( ~ ( ord_le516598614nres_a @ SV81 @ SV169 )
| ~ ! [SY511: $o] : ( ord_le519537037nres_a @ ( SV81 @ SY511 ) @ ( SV169 @ SY511 ) ) )
= $false )
| ( ( ord_le516598614nres_a @ SV81 @ SV169 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1181]) ).
thf(1277,plain,
! [SV169: $o > refine424419629nres_a,SV81: $o > refine424419629nres_a] :
( ( ( ord_le519537037nres_a @ ( SV81 @ ( sK5_SY511 @ SV169 @ SV81 ) ) @ ( SV169 @ ( sK5_SY511 @ SV169 @ SV81 ) ) )
= $false )
| ( ( ~ ( ~ ( ord_le516598614nres_a @ SV81 @ SV169 )
| ~ ! [SY511: $o] : ( ord_le519537037nres_a @ ( SV81 @ SY511 ) @ ( SV169 @ SY511 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1182]) ).
thf(1278,plain,
! [SV82: a,SV19: a] :
( ( ( ord_le519537037nres_a @ ( refine2063221604TURN_a @ SV19 ) @ ( refine2063221604TURN_a @ SV82 ) )
= $true )
| ( ( ord_le519537037nres_a @ ( refine2063221604TURN_a @ SV19 ) @ ( refine2063221604TURN_a @ SV82 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1183]) ).
thf(1279,plain,
! [SV82: a,SV19: a] :
( ( ( SV19 = SV82 )
= $true )
| ( ( ord_le519537037nres_a @ ( refine2063221604TURN_a @ SV19 ) @ ( refine2063221604TURN_a @ SV82 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1184]) ).
thf(1280,plain,
! [SV82: a,SV19: a] :
( ( ( ord_le519537037nres_a @ ( refine2063221604TURN_a @ SV19 ) @ ( refine2063221604TURN_a @ SV82 ) )
= $true )
| ( ( SV19 = SV82 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1185]) ).
thf(1281,plain,
! [SV82: a,SV19: a] :
( ( ( SV19 = SV82 )
= $true )
| ( ( SV19 = SV82 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1186]) ).
thf(1282,plain,
! [SV20: refine432681134nres_b] :
( ( ( ~ ( refine412683990fail_b @ SV20 ) )
= $true )
| ( ( refine412683990fail_b @ SV20 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1187]) ).
thf(1283,plain,
! [SV20: refine432681134nres_b] :
( ( ( SV20 = top_to240090974nres_b )
= $true )
| ( ( refine412683990fail_b @ SV20 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1188]) ).
thf(1284,plain,
! [SV20: refine432681134nres_b] :
( ( ( refine412683990fail_b @ SV20 )
= $false )
| ( ( SV20 = top_to240090974nres_b )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1189]) ).
thf(1285,plain,
! [SV83: b] :
( ( ( refine1001002028nres_b @ top_to240090974nres_b @ SV83 )
= $true )
| ( ( refine1001002028nres_b @ top_to240090974nres_b @ SV83 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1191]) ).
thf(1286,plain,
! [SV83: b] :
( ( $true = $true )
| ( ( refine1001002028nres_b @ top_to240090974nres_b @ SV83 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1192]) ).
thf(1287,plain,
! [SV83: b] :
( ( ( refine1001002028nres_b @ top_to240090974nres_b @ SV83 )
= $true )
| ( $true = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1193]) ).
thf(1288,plain,
( ( $true = $true )
| ( $true = $false ) ),
inference(extcnf_not_neg,[status(thm)],[1194]) ).
thf(1289,plain,
! [SV24: $o] :
( ( SV24 = $true )
| ( SV24 = $false )
| ( ( SV24 = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1195]) ).
thf(1290,plain,
! [SV24: $o] :
( ( $true = $true )
| ( SV24 = $false )
| ( ( SV24 = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1196]) ).
thf(1291,plain,
! [SV24: $o] :
( ( SV24 = $true )
| ( $true = $false )
| ( ( SV24 = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1197]) ).
thf(1292,plain,
! [SV24: $o] :
( ( $true = $true )
| ( $true = $false )
| ( ( SV24 = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1198]) ).
thf(1293,plain,
! [SV24: $o] :
( ( ( ~ SV24 ) = $false )
| ( SV24 = $false )
| ( ( SV24 = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1199]) ).
thf(1294,plain,
! [SV24: $o] :
( ( ( ~ $false ) = $false )
| ( SV24 = $false )
| ( ( SV24 = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1199]) ).
thf(1295,plain,
! [SV24: $o] :
( ( ( ~ SV24 ) = $false )
| ( $false = $false )
| ( ( SV24 = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1200]) ).
thf(1296,plain,
! [SV24: $o] :
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( ( SV24 = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1200]) ).
thf(1297,plain,
( ( $true = $true )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1201]) ).
thf(1298,plain,
( ( $true = $true )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1202]) ).
thf(1299,plain,
( ( $true = $true )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1203]) ).
thf(1300,plain,
( ( $true = $true )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1204]) ).
thf(1301,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1205]) ).
thf(1302,plain,
( ( ( ~ $false ) = $false )
| ( $true = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1205]) ).
thf(1303,plain,
( ( ( ~ $true ) = $false )
| ( $false = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1206]) ).
thf(1304,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1206]) ).
thf(1305,plain,
( ( $false = $true )
| ( $false = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1207]) ).
thf(1306,plain,
( ( $true = $true )
| ( $false = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1208]) ).
thf(1307,plain,
( ( $false = $true )
| ( $true = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1209]) ).
thf(1308,plain,
( ( $true = $true )
| ( $true = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1210]) ).
thf(1309,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1211]) ).
thf(1310,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1211]) ).
thf(1311,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1212]) ).
thf(1312,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1212]) ).
thf(1313,plain,
! [SV88: refine424419629nres_a,SV171: refine424419629nres_a,SV29: refine424419629nres_a,SV134: refine424419629nres_a > refine424419629nres_a] :
( ( ( ~ ! [SY458: refine424419629nres_a,SY459: refine424419629nres_a] :
( ~ ( ord_le519537037nres_a @ SY458 @ SY459 )
| ( ord_le519537037nres_a @ ( SV134 @ SY458 ) @ ( SV134 @ SY459 ) ) ) )
= $true )
| ( ( ord_le519537037nres_a @ ( SV134 @ SV29 ) @ SV171 )
= $true )
| ( ( ord_le519537037nres_a @ ( SV134 @ SV88 ) @ SV171 )
= $false )
| ( ( ord_le519537037nres_a @ SV29 @ SV88 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1214]) ).
thf(1314,plain,
! [SV91: refine424419629nres_a,SV32: refine424419629nres_a,SV196: $o,SV172: refine424419629nres_a,SV137: refine424419629nres_a] :
( ( ( ord_le519537037nres_a @ SV137 @ SV172 )
= $false )
| ( ( ord_le519537037nres_a @ ( if_Ref1724547303nres_a @ SV196 @ SV32 @ SV137 ) @ ( if_Ref1724547303nres_a @ SV196 @ SV91 @ SV172 ) )
= $true )
| ( ( ord_le519537037nres_a @ SV32 @ SV91 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1215]) ).
thf(1315,plain,
! [SV91: refine424419629nres_a,SV32: refine424419629nres_a,SV172: refine424419629nres_a,SV137: refine424419629nres_a] :
( ( ( ord_le519537037nres_a @ SV137 @ SV172 )
= $false )
| ( ( ord_le519537037nres_a @ ( if_Ref1724547303nres_a @ $true @ SV32 @ SV137 ) @ ( if_Ref1724547303nres_a @ $true @ SV91 @ SV172 ) )
= $true )
| ( ( ord_le519537037nres_a @ SV32 @ SV91 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1216]) ).
thf(1316,plain,
! [SV91: refine424419629nres_a,SV32: refine424419629nres_a,SV172: refine424419629nres_a,SV137: refine424419629nres_a] :
( ( ( ord_le519537037nres_a @ SV137 @ SV172 )
= $false )
| ( ( ord_le519537037nres_a @ ( if_Ref1724547303nres_a @ $false @ SV32 @ SV137 ) @ ( if_Ref1724547303nres_a @ $false @ SV91 @ SV172 ) )
= $true )
| ( ( ord_le519537037nres_a @ SV32 @ SV91 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1217]) ).
thf(1317,plain,
! [SV92: refine424419629nres_a,SV138: refine424419629nres_a > $o,SV33: refine424419629nres_a > $o] :
( ( ( ~ ( SV33 @ ( sK4_SY372 @ SV138 @ SV92 @ SV33 ) ) )
= $false )
| ( ( ~ ! [SY463: refine424419629nres_a] :
( ~ ( SV33 @ SY463 )
| ~ ! [SY249: refine424419629nres_a] :
( ~ ( SV33 @ SY249 )
| ( ord_le519537037nres_a @ SY249 @ SY463 ) )
| ( SV138 @ SY463 ) )
| ( SV138 @ ( order_1714329108nres_a @ SV33 ) ) )
= $true )
| ( ( SV33 @ SV92 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1218]) ).
thf(1318,plain,
! [SV33: refine424419629nres_a > $o,SV92: refine424419629nres_a,SV138: refine424419629nres_a > $o] :
( ( ( ord_le519537037nres_a @ ( sK4_SY372 @ SV138 @ SV92 @ SV33 ) @ SV92 )
= $false )
| ( ( ~ ! [SY463: refine424419629nres_a] :
( ~ ( SV33 @ SY463 )
| ~ ! [SY249: refine424419629nres_a] :
( ~ ( SV33 @ SY249 )
| ( ord_le519537037nres_a @ SY249 @ SY463 ) )
| ( SV138 @ SY463 ) )
| ( SV138 @ ( order_1714329108nres_a @ SV33 ) ) )
= $true )
| ( ( SV33 @ SV92 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1218]) ).
thf(1319,plain,
! [SV174: refine424419629nres_a,SV95: refine424419629nres_a] :
( ( ( ( SV95 != SV174 )
| ~ ~ ( ~ ( ord_le519537037nres_a @ SV174 @ SV95 )
| ~ ( ord_le519537037nres_a @ SV95 @ SV174 ) ) )
= $false )
| ( ( SV95 = SV174 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1220]) ).
thf(1320,plain,
! [SV95: refine424419629nres_a,SV174: refine424419629nres_a] :
( ( ( ~ ( ord_le519537037nres_a @ SV174 @ SV95 )
| ~ ( ord_le519537037nres_a @ SV95 @ SV174 ) )
= $true )
| ( ( ~ ( ( SV95 != SV174 )
| ~ ~ ( ~ ( ord_le519537037nres_a @ SV174 @ SV95 )
| ~ ( ord_le519537037nres_a @ SV95 @ SV174 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1221]) ).
thf(1321,plain,
! [SV96: refine424419629nres_a,SV175: refine432681134nres_b,SV38: refine424419629nres_a,SV141: refine424419629nres_a > refine432681134nres_b] :
( ( ( ~ ! [SY467: refine424419629nres_a,SY468: refine424419629nres_a] :
( ~ ( ord_le519537037nres_a @ SY467 @ SY468 )
| ( ord_le527798542nres_b @ ( SV141 @ SY467 ) @ ( SV141 @ SY468 ) ) ) )
= $true )
| ( ( ord_le527798542nres_b @ ( SV141 @ SV38 ) @ SV175 )
= $true )
| ( ( ( SV141 @ SV96 )
= SV175 )
= $false )
| ( ( ord_le519537037nres_a @ SV38 @ SV96 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1222]) ).
thf(1322,plain,
! [SV98: refine424419629nres_a,SV176: refine432681134nres_b,SV41: refine424419629nres_a,SV143: refine424419629nres_a > refine432681134nres_b] :
( ( ( ~ ! [SY470: refine424419629nres_a,SY471: refine424419629nres_a] :
( ~ ( ord_le519537037nres_a @ SY470 @ SY471 )
| ( ord_le527798542nres_b @ ( SV143 @ SY470 ) @ ( SV143 @ SY471 ) ) ) )
= $true )
| ( ( ord_le527798542nres_b @ ( SV143 @ SV41 ) @ SV176 )
= $true )
| ( ( ord_le527798542nres_b @ ( SV143 @ SV98 ) @ SV176 )
= $false )
| ( ( ord_le519537037nres_a @ SV41 @ SV98 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1223]) ).
thf(1323,plain,
! [SV42: refine424419629nres_a,SV99: refine424419629nres_a] :
( ( ( ~ ( ord_le519537037nres_a @ SV99 @ SV42 )
| ( SV99 != SV42 ) )
= $false )
| ( ( ord_le519537037nres_a @ SV99 @ SV42 )
= $false )
| ( ( ord_le519537037nres_a @ SV42 @ SV99 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1224]) ).
thf(1324,plain,
! [SV42: refine424419629nres_a,SV99: refine424419629nres_a] :
( ( ( ~ ( ord_le519537037nres_a @ SV99 @ SV42 )
| ( SV99 != SV42 ) )
= $false )
| ( ( SV99 = SV42 )
= $false )
| ( ( ord_le519537037nres_a @ SV42 @ SV99 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1225]) ).
thf(1325,plain,
! [SV100: set_Product_prod_a_a,SV43: refine424419629nres_a,SV197: refine432681134nres_b,SV177: set_Product_prod_a_b,SV144: refine424419629nres_a] :
( ( ( ord_le519537037nres_a @ SV144 @ ( refine1441824854un_a_b @ SV177 @ SV197 ) )
= $false )
| ( ( ord_le519537037nres_a @ SV43 @ ( refine1441824853un_a_a @ SV100 @ ( refine1441824854un_a_b @ SV177 @ SV197 ) ) )
= $true )
| ( ( ord_le519537037nres_a @ SV43 @ ( refine1441824853un_a_a @ SV100 @ SV144 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1226]) ).
thf(1326,plain,
! [SV148: refine424419629nres_a,SV104: refine424419629nres_a,SV198: refine424419629nres_a,SV179: refine424419629nres_a,SV48: $o] :
( ( SV48 = $true )
| ( ( ~ ( ~ ~ SV48
| ( ord_le519537037nres_a @ SV179 @ SV198 ) )
| ( ord_le519537037nres_a @ ( if_Ref1724547303nres_a @ SV48 @ SV104 @ SV179 ) @ ( if_Ref1724547303nres_a @ SV48 @ SV148 @ SV198 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1228]) ).
thf(1327,plain,
! [SV148: refine424419629nres_a,SV104: refine424419629nres_a,SV198: refine424419629nres_a,SV179: refine424419629nres_a,SV48: $o] :
( ( ( ~ ( ~ ~ SV48
| ( ord_le519537037nres_a @ SV179 @ SV198 ) ) )
= $true )
| ( ( ord_le519537037nres_a @ ( if_Ref1724547303nres_a @ SV48 @ SV104 @ SV179 ) @ ( if_Ref1724547303nres_a @ SV48 @ SV148 @ SV198 ) )
= $true )
| ( ( ord_le519537037nres_a @ SV104 @ SV148 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1229]) ).
thf(1328,plain,
! [SV149: refine424419629nres_a,SV105: refine424419629nres_a,SV199: refine424419629nres_a,SV180: refine424419629nres_a] :
( ( $true = $true )
| ( ( ~ ( ~ ~ $true
| ( ord_le519537037nres_a @ SV180 @ SV199 ) )
| ( ord_le519537037nres_a @ ( if_Ref1724547303nres_a @ $true @ SV105 @ SV180 ) @ ( if_Ref1724547303nres_a @ $true @ SV149 @ SV199 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1230]) ).
thf(1329,plain,
! [SV149: refine424419629nres_a,SV105: refine424419629nres_a,SV199: refine424419629nres_a,SV180: refine424419629nres_a] :
( ( ( ~ ( ~ ~ $true
| ( ord_le519537037nres_a @ SV180 @ SV199 ) ) )
= $true )
| ( ( ord_le519537037nres_a @ ( if_Ref1724547303nres_a @ $true @ SV105 @ SV180 ) @ ( if_Ref1724547303nres_a @ $true @ SV149 @ SV199 ) )
= $true )
| ( ( ord_le519537037nres_a @ SV105 @ SV149 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1231]) ).
thf(1330,plain,
! [SV150: refine424419629nres_a,SV106: refine424419629nres_a,SV200: refine424419629nres_a,SV181: refine424419629nres_a] :
( ( $false = $true )
| ( ( ~ ( ~ ~ $false
| ( ord_le519537037nres_a @ SV181 @ SV200 ) )
| ( ord_le519537037nres_a @ ( if_Ref1724547303nres_a @ $false @ SV106 @ SV181 ) @ ( if_Ref1724547303nres_a @ $false @ SV150 @ SV200 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1232]) ).
thf(1331,plain,
! [SV150: refine424419629nres_a,SV106: refine424419629nres_a,SV200: refine424419629nres_a,SV181: refine424419629nres_a] :
( ( ( ~ ( ~ ~ $false
| ( ord_le519537037nres_a @ SV181 @ SV200 ) ) )
= $true )
| ( ( ord_le519537037nres_a @ ( if_Ref1724547303nres_a @ $false @ SV106 @ SV181 ) @ ( if_Ref1724547303nres_a @ $false @ SV150 @ SV200 ) )
= $true )
| ( ( ord_le519537037nres_a @ SV106 @ SV150 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1233]) ).
thf(1332,plain,
! [SV151: refine424419629nres_a,SV182: refine424419629nres_a,SV49: refine424419629nres_a,SV107: refine424419629nres_a > refine424419629nres_a] :
( ( ( ~ ! [SY406: refine424419629nres_a,SY407: refine424419629nres_a] :
( ~ ( ord_le519537037nres_a @ SY406 @ SY407 )
| ( ord_le519537037nres_a @ ( SV107 @ SY406 ) @ ( SV107 @ SY407 ) ) ) )
= $true )
| ( ( ord_le519537037nres_a @ SV49 @ ( SV107 @ SV182 ) )
= $true )
| ( ( ord_le519537037nres_a @ SV151 @ SV182 )
= $false )
| ( ( SV49
= ( SV107 @ SV151 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1234]) ).
thf(1333,plain,
! [SV152: refine432681134nres_b,SV183: refine432681134nres_b,SV50: refine424419629nres_a,SV108: refine432681134nres_b > refine424419629nres_a] :
( ( ( ~ ! [SY410: refine432681134nres_b,SY411: refine432681134nres_b] :
( ~ ( ord_le527798542nres_b @ SY410 @ SY411 )
| ( ord_le519537037nres_a @ ( SV108 @ SY410 ) @ ( SV108 @ SY411 ) ) ) )
= $true )
| ( ( ord_le519537037nres_a @ SV50 @ ( SV108 @ SV183 ) )
= $true )
| ( ( ord_le527798542nres_b @ SV152 @ SV183 )
= $false )
| ( ( ord_le519537037nres_a @ SV50 @ ( SV108 @ SV152 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1235]) ).
thf(1334,plain,
! [SV110: refine432681134nres_b,SV184: refine424419629nres_a,SV52: refine432681134nres_b,SV154: refine432681134nres_b > refine424419629nres_a] :
( ( ( ~ ! [SY488: refine432681134nres_b,SY489: refine432681134nres_b] :
( ~ ( ord_le527798542nres_b @ SY488 @ SY489 )
| ( ord_le519537037nres_a @ ( SV154 @ SY488 ) @ ( SV154 @ SY489 ) ) ) )
= $true )
| ( ( ord_le519537037nres_a @ ( SV154 @ SV52 ) @ SV184 )
= $true )
| ( ( ( SV154 @ SV110 )
= SV184 )
= $false )
| ( ( ord_le527798542nres_b @ SV52 @ SV110 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1236]) ).
thf(1335,plain,
! [SV53: refine432681134nres_b] :
( ( ( top_to240090974nres_b != SV53 )
= $true )
| ( ( top_to240090974nres_b = SV53 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1237]) ).
thf(1336,plain,
! [SV53: refine432681134nres_b] :
( ( ( refine412683990fail_b @ SV53 )
= $true )
| ( ( top_to240090974nres_b = SV53 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1238]) ).
thf(1337,plain,
! [SV53: refine432681134nres_b] :
( ( ( top_to240090974nres_b = SV53 )
= $false )
| ( ( refine412683990fail_b @ SV53 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1239]) ).
thf(1338,plain,
! [SV155: refine424419629nres_a,SV185: refine424419629nres_a,SV54: refine432681134nres_b,SV111: refine424419629nres_a > refine432681134nres_b] :
( ( ( ~ ! [SY419: refine424419629nres_a,SY420: refine424419629nres_a] :
( ~ ( ord_le519537037nres_a @ SY419 @ SY420 )
| ( ord_le527798542nres_b @ ( SV111 @ SY419 ) @ ( SV111 @ SY420 ) ) ) )
= $true )
| ( ( ord_le527798542nres_b @ SV54 @ ( SV111 @ SV185 ) )
= $true )
| ( ( ord_le519537037nres_a @ SV155 @ SV185 )
= $false )
| ( ( ord_le527798542nres_b @ SV54 @ ( SV111 @ SV155 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1241]) ).
thf(1339,plain,
! [SV113: refine424419629nres_a,SV57: refine424419629nres_a > $o] :
( ( ( SV57 @ ( sK3_SY422 @ SV113 @ SV57 ) )
= $true )
| ( ( ( order_1714329108nres_a @ SV57 )
= SV113 )
= $true )
| ( ( SV57 @ SV113 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1242]) ).
thf(1340,plain,
! [SV157: refine432681134nres_b,SV186: refine432681134nres_b,SV58: refine424419629nres_a,SV114: refine432681134nres_b > refine424419629nres_a] :
( ( ( ~ ! [SY425: refine432681134nres_b,SY426: refine432681134nres_b] :
( ~ ( ord_le527798542nres_b @ SY425 @ SY426 )
| ( ord_le519537037nres_a @ ( SV114 @ SY425 ) @ ( SV114 @ SY426 ) ) ) )
= $true )
| ( ( ord_le519537037nres_a @ SV58 @ ( SV114 @ SV186 ) )
= $true )
| ( ( ord_le527798542nres_b @ SV157 @ SV186 )
= $false )
| ( ( SV58
= ( SV114 @ SV157 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1244]) ).
thf(1341,plain,
! [SV116: set_Product_prod_a_a,SV60: refine424419629nres_a,SV201: refine424419629nres_a,SV187: set_Product_prod_a_a,SV158: refine424419629nres_a] :
( ( ( ord_le519537037nres_a @ SV158 @ ( refine1441824853un_a_a @ SV187 @ SV201 ) )
= $false )
| ( ( ord_le519537037nres_a @ SV60 @ ( refine1441824853un_a_a @ SV116 @ ( refine1441824853un_a_a @ SV187 @ SV201 ) ) )
= $true )
| ( ( ord_le519537037nres_a @ SV60 @ ( refine1441824853un_a_a @ SV116 @ SV158 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1245]) ).
thf(1342,plain,
! [SV118: refine424419629nres_a,SV62: refine424419629nres_a,SV188: refine424419629nres_a,SV159: refine424419629nres_a] :
( ( ( SV159 != SV188 )
= $true )
| ( ( ord_le519537037nres_a @ SV62 @ SV188 )
= $true )
| ( ( ord_le519537037nres_a @ SV118 @ SV159 )
= $false )
| ( ( SV62 = SV118 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1246]) ).
thf(1343,plain,
! [SV160: refine424419629nres_a,SV189: refine424419629nres_a,SV63: refine424419629nres_a,SV119: refine424419629nres_a > refine424419629nres_a] :
( ( ( ~ ! [SY434: refine424419629nres_a,SY435: refine424419629nres_a] :
( ~ ( ord_le519537037nres_a @ SY434 @ SY435 )
| ( ord_le519537037nres_a @ ( SV119 @ SY434 ) @ ( SV119 @ SY435 ) ) ) )
= $true )
| ( ( ord_le519537037nres_a @ SV63 @ ( SV119 @ SV189 ) )
= $true )
| ( ( ord_le519537037nres_a @ SV160 @ SV189 )
= $false )
| ( ( ord_le519537037nres_a @ SV63 @ ( SV119 @ SV160 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1247]) ).
thf(1344,plain,
! [SV190: $o > refine424419629nres_a,SV121: $o > refine424419629nres_a] :
( ( ( ~ ( ord_le516598614nres_a @ SV121 @ SV190 )
| ~ ~ ( ~ ( ord_le519537037nres_a @ ( SV121 @ $false ) @ ( SV190 @ $false ) )
| ~ ( ord_le519537037nres_a @ ( SV121 @ $true ) @ ( SV190 @ $true ) ) ) )
= $false )
| ( ( ord_le516598614nres_a @ SV121 @ SV190 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1248]) ).
thf(1345,plain,
! [SV190: $o > refine424419629nres_a,SV121: $o > refine424419629nres_a] :
( ( ( ~ ( ord_le519537037nres_a @ ( SV121 @ $false ) @ ( SV190 @ $false ) )
| ~ ( ord_le519537037nres_a @ ( SV121 @ $true ) @ ( SV190 @ $true ) ) )
= $true )
| ( ( ~ ( ~ ( ord_le516598614nres_a @ SV121 @ SV190 )
| ~ ~ ( ~ ( ord_le519537037nres_a @ ( SV121 @ $false ) @ ( SV190 @ $false ) )
| ~ ( ord_le519537037nres_a @ ( SV121 @ $true ) @ ( SV190 @ $true ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1249]) ).
thf(1346,plain,
! [SV123: refine432681134nres_b] :
( ( ( refine412683990fail_b @ SV123 )
= $true )
| ( ( refine412683990fail_b @ SV123 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1250]) ).
thf(1347,plain,
! [SV123: refine432681134nres_b] :
( ( ( SV123 != top_to240090974nres_b )
= $true )
| ( ( refine412683990fail_b @ SV123 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1251]) ).
thf(1348,plain,
! [SV123: refine432681134nres_b] :
( ( ( ~ ( refine412683990fail_b @ SV123 ) )
= $false )
| ( ( SV123 = top_to240090974nres_b )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1252]) ).
thf(1349,plain,
! [SV123: refine432681134nres_b] :
( ( ( ~ ( ( SV123 != top_to240090974nres_b ) ) )
= $false )
| ( ( SV123 = top_to240090974nres_b )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1252]) ).
thf(1350,plain,
! [SV124: refine432681134nres_b,SV191: refine424419629nres_a,SV68: refine432681134nres_b,SV163: refine432681134nres_b > refine424419629nres_a] :
( ( ( ~ ! [SY503: refine432681134nres_b,SY504: refine432681134nres_b] :
( ~ ( ord_le527798542nres_b @ SY503 @ SY504 )
| ( ord_le519537037nres_a @ ( SV163 @ SY503 ) @ ( SV163 @ SY504 ) ) ) )
= $true )
| ( ( ord_le519537037nres_a @ ( SV163 @ SV68 ) @ SV191 )
= $true )
| ( ( ord_le519537037nres_a @ ( SV163 @ SV124 ) @ SV191 )
= $false )
| ( ( ord_le527798542nres_b @ SV68 @ SV124 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1253]) ).
thf(1351,plain,
! [SV192: refine424419629nres_a,SV127: refine424419629nres_a] :
( ( ( ( SV127 != SV192 )
| ~ ~ ( ~ ( ord_le519537037nres_a @ SV127 @ SV192 )
| ~ ( ord_le519537037nres_a @ SV192 @ SV127 ) ) )
= $false )
| ( ( SV127 = SV192 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1254]) ).
thf(1352,plain,
! [SV192: refine424419629nres_a,SV127: refine424419629nres_a] :
( ( ( ~ ( ord_le519537037nres_a @ SV127 @ SV192 )
| ~ ( ord_le519537037nres_a @ SV192 @ SV127 ) )
= $true )
| ( ( ~ ( ( SV127 != SV192 )
| ~ ~ ( ~ ( ord_le519537037nres_a @ SV127 @ SV192 )
| ~ ( ord_le519537037nres_a @ SV192 @ SV127 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1255]) ).
thf(1353,plain,
! [SV165: refine424419629nres_a,SV193: refine424419629nres_a,SV72: refine432681134nres_b,SV128: refine424419629nres_a > refine432681134nres_b] :
( ( ( ~ ! [SY446: refine424419629nres_a,SY447: refine424419629nres_a] :
( ~ ( ord_le519537037nres_a @ SY446 @ SY447 )
| ( ord_le527798542nres_b @ ( SV128 @ SY446 ) @ ( SV128 @ SY447 ) ) ) )
= $true )
| ( ( ord_le527798542nres_b @ SV72 @ ( SV128 @ SV193 ) )
= $true )
| ( ( ord_le519537037nres_a @ SV165 @ SV193 )
= $false )
| ( ( SV72
= ( SV128 @ SV165 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1256]) ).
thf(1354,plain,
! [SV194: refine424419629nres_a,SV129: refine424419629nres_a] :
( ( ( ( SV129 != SV194 )
| ~ ~ ( ~ ( ord_le519537037nres_a @ SV129 @ SV194 )
| ~ ( ord_le519537037nres_a @ SV194 @ SV129 ) ) )
= $false )
| ( ( SV129 = SV194 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1257]) ).
thf(1355,plain,
! [SV194: refine424419629nres_a,SV129: refine424419629nres_a] :
( ( ( ~ ( ord_le519537037nres_a @ SV129 @ SV194 )
| ~ ( ord_le519537037nres_a @ SV194 @ SV129 ) )
= $true )
| ( ( ~ ( ( SV129 != SV194 )
| ~ ~ ( ~ ( ord_le519537037nres_a @ SV129 @ SV194 )
| ~ ( ord_le519537037nres_a @ SV194 @ SV129 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1258]) ).
thf(1356,plain,
! [SV131: refine424419629nres_a,SV195: refine424419629nres_a,SV76: refine424419629nres_a,SV168: refine424419629nres_a > refine424419629nres_a] :
( ( ( ~ ! [SY509: refine424419629nres_a,SY510: refine424419629nres_a] :
( ~ ( ord_le519537037nres_a @ SY509 @ SY510 )
| ( ord_le519537037nres_a @ ( SV168 @ SY509 ) @ ( SV168 @ SY510 ) ) ) )
= $true )
| ( ( ord_le519537037nres_a @ ( SV168 @ SV76 ) @ SV195 )
= $true )
| ( ( ( SV168 @ SV131 )
= SV195 )
= $false )
| ( ( ord_le519537037nres_a @ SV76 @ SV131 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1259]) ).
thf(1357,plain,
! [SV169: $o > refine424419629nres_a,SV81: $o > refine424419629nres_a] :
( ( ( ~ ( ord_le516598614nres_a @ SV81 @ SV169 ) )
= $false )
| ( ( ord_le516598614nres_a @ SV81 @ SV169 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1276]) ).
thf(1358,plain,
! [SV169: $o > refine424419629nres_a,SV81: $o > refine424419629nres_a] :
( ( ( ~ ! [SY511: $o] : ( ord_le519537037nres_a @ ( SV81 @ SY511 ) @ ( SV169 @ SY511 ) ) )
= $false )
| ( ( ord_le516598614nres_a @ SV81 @ SV169 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1276]) ).
thf(1359,plain,
! [SV169: $o > refine424419629nres_a,SV81: $o > refine424419629nres_a] :
( ( ( ~ ( ord_le516598614nres_a @ SV81 @ SV169 )
| ~ ! [SY511: $o] : ( ord_le519537037nres_a @ ( SV81 @ SY511 ) @ ( SV169 @ SY511 ) ) )
= $false )
| ( ( ord_le519537037nres_a @ ( SV81 @ ( sK5_SY511 @ SV169 @ SV81 ) ) @ ( SV169 @ ( sK5_SY511 @ SV169 @ SV81 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1277]) ).
thf(1360,plain,
! [SV20: refine432681134nres_b] :
( ( ( refine412683990fail_b @ SV20 )
= $false )
| ( ( refine412683990fail_b @ SV20 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1282]) ).
thf(1361,plain,
! [SV24: $o] :
( ( ( ~ ( SV24
| $false )
| ~ ( ~ SV24
| ~ $false ) )
= $true )
| ( SV24 = $false )
| ( SV24 = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1289]) ).
thf(1362,plain,
! [SV24: $o] :
( ( ( SV24 = $false )
= $true )
| ( SV24 = $false )
| ( SV24 = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1289]) ).
thf(1363,plain,
! [SV24: $o] :
( ( ( ~ ( SV24
| $false )
| ~ ( ~ SV24
| ~ $false ) )
= $true )
| ( SV24 = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1290]) ).
thf(1364,plain,
! [SV24: $o] :
( ( ( SV24 = $false )
= $true )
| ( SV24 = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1290]) ).
thf(1365,plain,
! [SV24: $o] :
( ( ( ~ ( SV24
| $false )
| ~ ( ~ SV24
| ~ $false ) )
= $true )
| ( $true = $false )
| ( SV24 = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1291]) ).
thf(1366,plain,
! [SV24: $o] :
( ( ( SV24 = $false )
= $true )
| ( $true = $false )
| ( SV24 = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1291]) ).
thf(1367,plain,
! [SV24: $o] :
( ( ( ~ ( SV24
| $false )
| ~ ( ~ SV24
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1292]) ).
thf(1368,plain,
! [SV24: $o] :
( ( ( SV24 = $false )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1292]) ).
thf(1369,plain,
! [SV24: $o] :
( ( SV24 = $true )
| ( SV24 = $false )
| ( ( SV24 = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1293]) ).
thf(1370,plain,
! [SV24: $o] :
( ( $false = $true )
| ( SV24 = $false )
| ( ( SV24 = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1294]) ).
thf(1371,plain,
! [SV24: $o] :
( ( SV24 = $true )
| ( $false = $false )
| ( ( SV24 = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1295]) ).
thf(1372,plain,
! [SV24: $o] :
( ( $false = $true )
| ( $false = $false )
| ( ( SV24 = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1296]) ).
thf(1373,plain,
( ( ( ~ ( $true
| $false )
| ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1297]) ).
thf(1374,plain,
( ( ( $true = $false )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1297]) ).
thf(1375,plain,
( ( ( ~ ( $true
| $false )
| ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1298]) ).
thf(1376,plain,
( ( ( $true = $false )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1298]) ).
thf(1377,plain,
( ( ( ~ ( $true
| $false )
| ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1299]) ).
thf(1378,plain,
( ( ( $true = $false )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1299]) ).
thf(1379,plain,
( ( ( ~ ( $true
| $false )
| ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1300]) ).
thf(1380,plain,
( ( ( $true = $false )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1300]) ).
thf(1381,plain,
( ( $true = $true )
| ( $true = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1301]) ).
thf(1382,plain,
( ( $false = $true )
| ( $true = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1302]) ).
thf(1383,plain,
( ( $true = $true )
| ( $false = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1303]) ).
thf(1384,plain,
( ( $false = $true )
| ( $false = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1304]) ).
thf(1385,plain,
( ( ( ~ ( $false
| $false )
| ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1305]) ).
thf(1386,plain,
( ( ( $false = $false )
= $true )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1305]) ).
thf(1387,plain,
( ( ( ~ ( $false
| $false )
| ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1306]) ).
thf(1388,plain,
( ( ( $false = $false )
= $true )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1306]) ).
thf(1389,plain,
( ( ( ~ ( $false
| $false )
| ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1307]) ).
thf(1390,plain,
( ( ( $false = $false )
= $true )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1307]) ).
thf(1391,plain,
( ( ( ~ ( $false
| $false )
| ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1308]) ).
thf(1392,plain,
( ( ( $false = $false )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1308]) ).
thf(1393,plain,
( ( $false = $true )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1309]) ).
thf(1394,plain,
( ( $false = $true )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1310]) ).
thf(1395,plain,
( ( $false = $true )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1311]) ).
thf(1396,plain,
( ( $false = $true )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1312]) ).
thf(1397,plain,
! [SV88: refine424419629nres_a,SV171: refine424419629nres_a,SV29: refine424419629nres_a,SV134: refine424419629nres_a > refine424419629nres_a] :
( ( ( ! [SY458: refine424419629nres_a,SY459: refine424419629nres_a] :
( ~ ( ord_le519537037nres_a @ SY458 @ SY459 )
| ( ord_le519537037nres_a @ ( SV134 @ SY458 ) @ ( SV134 @ SY459 ) ) ) )
= $false )
| ( ( ord_le519537037nres_a @ ( SV134 @ SV29 ) @ SV171 )
= $true )
| ( ( ord_le519537037nres_a @ ( SV134 @ SV88 ) @ SV171 )
= $false )
| ( ( ord_le519537037nres_a @ SV29 @ SV88 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1313]) ).
thf(1398,plain,
! [SV92: refine424419629nres_a,SV138: refine424419629nres_a > $o,SV33: refine424419629nres_a > $o] :
( ( ( SV33 @ ( sK4_SY372 @ SV138 @ SV92 @ SV33 ) )
= $true )
| ( ( ~ ! [SY463: refine424419629nres_a] :
( ~ ( SV33 @ SY463 )
| ~ ! [SY249: refine424419629nres_a] :
( ~ ( SV33 @ SY249 )
| ( ord_le519537037nres_a @ SY249 @ SY463 ) )
| ( SV138 @ SY463 ) )
| ( SV138 @ ( order_1714329108nres_a @ SV33 ) ) )
= $true )
| ( ( SV33 @ SV92 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1317]) ).
thf(1399,plain,
! [SV92: refine424419629nres_a,SV138: refine424419629nres_a > $o,SV33: refine424419629nres_a > $o] :
( ( ( ~ ! [SY463: refine424419629nres_a] :
( ~ ( SV33 @ SY463 )
| ~ ! [SY249: refine424419629nres_a] :
( ~ ( SV33 @ SY249 )
| ( ord_le519537037nres_a @ SY249 @ SY463 ) )
| ( SV138 @ SY463 ) ) )
= $true )
| ( ( SV138 @ ( order_1714329108nres_a @ SV33 ) )
= $true )
| ( ( ord_le519537037nres_a @ ( sK4_SY372 @ SV138 @ SV92 @ SV33 ) @ SV92 )
= $false )
| ( ( SV33 @ SV92 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1318]) ).
thf(1400,plain,
! [SV174: refine424419629nres_a,SV95: refine424419629nres_a] :
( ( ( SV95 != SV174 )
= $false )
| ( ( SV95 = SV174 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1319]) ).
thf(1401,plain,
! [SV95: refine424419629nres_a,SV174: refine424419629nres_a] :
( ( ( ~ ~ ( ~ ( ord_le519537037nres_a @ SV174 @ SV95 )
| ~ ( ord_le519537037nres_a @ SV95 @ SV174 ) ) )
= $false )
| ( ( SV95 = SV174 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1319]) ).
thf(1402,plain,
! [SV95: refine424419629nres_a,SV174: refine424419629nres_a] :
( ( ( ~ ( ord_le519537037nres_a @ SV174 @ SV95 ) )
= $true )
| ( ( ~ ( ord_le519537037nres_a @ SV95 @ SV174 ) )
= $true )
| ( ( ~ ( ( SV95 != SV174 )
| ~ ~ ( ~ ( ord_le519537037nres_a @ SV174 @ SV95 )
| ~ ( ord_le519537037nres_a @ SV95 @ SV174 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1320]) ).
thf(1403,plain,
! [SV96: refine424419629nres_a,SV175: refine432681134nres_b,SV38: refine424419629nres_a,SV141: refine424419629nres_a > refine432681134nres_b] :
( ( ( ! [SY467: refine424419629nres_a,SY468: refine424419629nres_a] :
( ~ ( ord_le519537037nres_a @ SY467 @ SY468 )
| ( ord_le527798542nres_b @ ( SV141 @ SY467 ) @ ( SV141 @ SY468 ) ) ) )
= $false )
| ( ( ord_le527798542nres_b @ ( SV141 @ SV38 ) @ SV175 )
= $true )
| ( ( ( SV141 @ SV96 )
= SV175 )
= $false )
| ( ( ord_le519537037nres_a @ SV38 @ SV96 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1321]) ).
thf(1404,plain,
! [SV98: refine424419629nres_a,SV176: refine432681134nres_b,SV41: refine424419629nres_a,SV143: refine424419629nres_a > refine432681134nres_b] :
( ( ( ! [SY470: refine424419629nres_a,SY471: refine424419629nres_a] :
( ~ ( ord_le519537037nres_a @ SY470 @ SY471 )
| ( ord_le527798542nres_b @ ( SV143 @ SY470 ) @ ( SV143 @ SY471 ) ) ) )
= $false )
| ( ( ord_le527798542nres_b @ ( SV143 @ SV41 ) @ SV176 )
= $true )
| ( ( ord_le527798542nres_b @ ( SV143 @ SV98 ) @ SV176 )
= $false )
| ( ( ord_le519537037nres_a @ SV41 @ SV98 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1322]) ).
thf(1405,plain,
! [SV42: refine424419629nres_a,SV99: refine424419629nres_a] :
( ( ( ~ ( ord_le519537037nres_a @ SV99 @ SV42 ) )
= $false )
| ( ( ord_le519537037nres_a @ SV99 @ SV42 )
= $false )
| ( ( ord_le519537037nres_a @ SV42 @ SV99 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1323]) ).
thf(1406,plain,
! [SV42: refine424419629nres_a,SV99: refine424419629nres_a] :
( ( ( SV99 != SV42 )
= $false )
| ( ( ord_le519537037nres_a @ SV99 @ SV42 )
= $false )
| ( ( ord_le519537037nres_a @ SV42 @ SV99 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1323]) ).
thf(1407,plain,
! [SV42: refine424419629nres_a,SV99: refine424419629nres_a] :
( ( ( ~ ( ord_le519537037nres_a @ SV99 @ SV42 ) )
= $false )
| ( ( SV99 = SV42 )
= $false )
| ( ( ord_le519537037nres_a @ SV42 @ SV99 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1324]) ).
thf(1408,plain,
! [SV42: refine424419629nres_a,SV99: refine424419629nres_a] :
( ( ( SV99 != SV42 )
= $false )
| ( ( SV99 = SV42 )
= $false )
| ( ( ord_le519537037nres_a @ SV42 @ SV99 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1324]) ).
thf(1409,plain,
! [SV148: refine424419629nres_a,SV104: refine424419629nres_a,SV198: refine424419629nres_a,SV179: refine424419629nres_a,SV48: $o] :
( ( ( ~ ( ~ ~ SV48
| ( ord_le519537037nres_a @ SV179 @ SV198 ) ) )
= $true )
| ( ( ord_le519537037nres_a @ ( if_Ref1724547303nres_a @ SV48 @ SV104 @ SV179 ) @ ( if_Ref1724547303nres_a @ SV48 @ SV148 @ SV198 ) )
= $true )
| ( SV48 = $true ) ),
inference(extcnf_or_pos,[status(thm)],[1326]) ).
thf(1410,plain,
! [SV148: refine424419629nres_a,SV104: refine424419629nres_a,SV198: refine424419629nres_a,SV179: refine424419629nres_a,SV48: $o] :
( ( ( ~ ~ SV48
| ( ord_le519537037nres_a @ SV179 @ SV198 ) )
= $false )
| ( ( ord_le519537037nres_a @ ( if_Ref1724547303nres_a @ SV48 @ SV104 @ SV179 ) @ ( if_Ref1724547303nres_a @ SV48 @ SV148 @ SV198 ) )
= $true )
| ( ( ord_le519537037nres_a @ SV104 @ SV148 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1327]) ).
thf(1411,plain,
! [SV149: refine424419629nres_a,SV105: refine424419629nres_a,SV199: refine424419629nres_a,SV180: refine424419629nres_a] :
( ( ( ~ ( ~ ~ $true
| ( ord_le519537037nres_a @ SV180 @ SV199 ) ) )
= $true )
| ( ( ord_le519537037nres_a @ ( if_Ref1724547303nres_a @ $true @ SV105 @ SV180 ) @ ( if_Ref1724547303nres_a @ $true @ SV149 @ SV199 ) )
= $true )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[1328]) ).
thf(1412,plain,
! [SV149: refine424419629nres_a,SV105: refine424419629nres_a,SV199: refine424419629nres_a,SV180: refine424419629nres_a] :
( ( ( ~ ~ $true
| ( ord_le519537037nres_a @ SV180 @ SV199 ) )
= $false )
| ( ( ord_le519537037nres_a @ ( if_Ref1724547303nres_a @ $true @ SV105 @ SV180 ) @ ( if_Ref1724547303nres_a @ $true @ SV149 @ SV199 ) )
= $true )
| ( ( ord_le519537037nres_a @ SV105 @ SV149 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1329]) ).
thf(1413,plain,
! [SV150: refine424419629nres_a,SV106: refine424419629nres_a,SV200: refine424419629nres_a,SV181: refine424419629nres_a] :
( ( ( ~ ( ~ ~ $false
| ( ord_le519537037nres_a @ SV181 @ SV200 ) ) )
= $true )
| ( ( ord_le519537037nres_a @ ( if_Ref1724547303nres_a @ $false @ SV106 @ SV181 ) @ ( if_Ref1724547303nres_a @ $false @ SV150 @ SV200 ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_or_pos,[status(thm)],[1330]) ).
thf(1414,plain,
! [SV150: refine424419629nres_a,SV106: refine424419629nres_a,SV200: refine424419629nres_a,SV181: refine424419629nres_a] :
( ( ( ~ ~ $false
| ( ord_le519537037nres_a @ SV181 @ SV200 ) )
= $false )
| ( ( ord_le519537037nres_a @ ( if_Ref1724547303nres_a @ $false @ SV106 @ SV181 ) @ ( if_Ref1724547303nres_a @ $false @ SV150 @ SV200 ) )
= $true )
| ( ( ord_le519537037nres_a @ SV106 @ SV150 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1331]) ).
thf(1415,plain,
! [SV151: refine424419629nres_a,SV182: refine424419629nres_a,SV49: refine424419629nres_a,SV107: refine424419629nres_a > refine424419629nres_a] :
( ( ( ! [SY406: refine424419629nres_a,SY407: refine424419629nres_a] :
( ~ ( ord_le519537037nres_a @ SY406 @ SY407 )
| ( ord_le519537037nres_a @ ( SV107 @ SY406 ) @ ( SV107 @ SY407 ) ) ) )
= $false )
| ( ( ord_le519537037nres_a @ SV49 @ ( SV107 @ SV182 ) )
= $true )
| ( ( ord_le519537037nres_a @ SV151 @ SV182 )
= $false )
| ( ( SV49
= ( SV107 @ SV151 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1332]) ).
thf(1416,plain,
! [SV152: refine432681134nres_b,SV183: refine432681134nres_b,SV50: refine424419629nres_a,SV108: refine432681134nres_b > refine424419629nres_a] :
( ( ( ! [SY410: refine432681134nres_b,SY411: refine432681134nres_b] :
( ~ ( ord_le527798542nres_b @ SY410 @ SY411 )
| ( ord_le519537037nres_a @ ( SV108 @ SY410 ) @ ( SV108 @ SY411 ) ) ) )
= $false )
| ( ( ord_le519537037nres_a @ SV50 @ ( SV108 @ SV183 ) )
= $true )
| ( ( ord_le527798542nres_b @ SV152 @ SV183 )
= $false )
| ( ( ord_le519537037nres_a @ SV50 @ ( SV108 @ SV152 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1333]) ).
thf(1417,plain,
! [SV110: refine432681134nres_b,SV184: refine424419629nres_a,SV52: refine432681134nres_b,SV154: refine432681134nres_b > refine424419629nres_a] :
( ( ( ! [SY488: refine432681134nres_b,SY489: refine432681134nres_b] :
( ~ ( ord_le527798542nres_b @ SY488 @ SY489 )
| ( ord_le519537037nres_a @ ( SV154 @ SY488 ) @ ( SV154 @ SY489 ) ) ) )
= $false )
| ( ( ord_le519537037nres_a @ ( SV154 @ SV52 ) @ SV184 )
= $true )
| ( ( ( SV154 @ SV110 )
= SV184 )
= $false )
| ( ( ord_le527798542nres_b @ SV52 @ SV110 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1334]) ).
thf(1418,plain,
! [SV53: refine432681134nres_b] :
( ( ( top_to240090974nres_b = SV53 )
= $false )
| ( ( top_to240090974nres_b = SV53 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1335]) ).
thf(1419,plain,
! [SV155: refine424419629nres_a,SV185: refine424419629nres_a,SV54: refine432681134nres_b,SV111: refine424419629nres_a > refine432681134nres_b] :
( ( ( ! [SY419: refine424419629nres_a,SY420: refine424419629nres_a] :
( ~ ( ord_le519537037nres_a @ SY419 @ SY420 )
| ( ord_le527798542nres_b @ ( SV111 @ SY419 ) @ ( SV111 @ SY420 ) ) ) )
= $false )
| ( ( ord_le527798542nres_b @ SV54 @ ( SV111 @ SV185 ) )
= $true )
| ( ( ord_le519537037nres_a @ SV155 @ SV185 )
= $false )
| ( ( ord_le527798542nres_b @ SV54 @ ( SV111 @ SV155 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1338]) ).
thf(1420,plain,
! [SV157: refine432681134nres_b,SV186: refine432681134nres_b,SV58: refine424419629nres_a,SV114: refine432681134nres_b > refine424419629nres_a] :
( ( ( ! [SY425: refine432681134nres_b,SY426: refine432681134nres_b] :
( ~ ( ord_le527798542nres_b @ SY425 @ SY426 )
| ( ord_le519537037nres_a @ ( SV114 @ SY425 ) @ ( SV114 @ SY426 ) ) ) )
= $false )
| ( ( ord_le519537037nres_a @ SV58 @ ( SV114 @ SV186 ) )
= $true )
| ( ( ord_le527798542nres_b @ SV157 @ SV186 )
= $false )
| ( ( SV58
= ( SV114 @ SV157 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1340]) ).
thf(1421,plain,
! [SV118: refine424419629nres_a,SV62: refine424419629nres_a,SV188: refine424419629nres_a,SV159: refine424419629nres_a] :
( ( ( SV159 = SV188 )
= $false )
| ( ( ord_le519537037nres_a @ SV62 @ SV188 )
= $true )
| ( ( ord_le519537037nres_a @ SV118 @ SV159 )
= $false )
| ( ( SV62 = SV118 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1342]) ).
thf(1422,plain,
! [SV160: refine424419629nres_a,SV189: refine424419629nres_a,SV63: refine424419629nres_a,SV119: refine424419629nres_a > refine424419629nres_a] :
( ( ( ! [SY434: refine424419629nres_a,SY435: refine424419629nres_a] :
( ~ ( ord_le519537037nres_a @ SY434 @ SY435 )
| ( ord_le519537037nres_a @ ( SV119 @ SY434 ) @ ( SV119 @ SY435 ) ) ) )
= $false )
| ( ( ord_le519537037nres_a @ SV63 @ ( SV119 @ SV189 ) )
= $true )
| ( ( ord_le519537037nres_a @ SV160 @ SV189 )
= $false )
| ( ( ord_le519537037nres_a @ SV63 @ ( SV119 @ SV160 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1343]) ).
thf(1423,plain,
! [SV190: $o > refine424419629nres_a,SV121: $o > refine424419629nres_a] :
( ( ( ~ ( ord_le516598614nres_a @ SV121 @ SV190 ) )
= $false )
| ( ( ord_le516598614nres_a @ SV121 @ SV190 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1344]) ).
thf(1424,plain,
! [SV190: $o > refine424419629nres_a,SV121: $o > refine424419629nres_a] :
( ( ( ~ ~ ( ~ ( ord_le519537037nres_a @ ( SV121 @ $false ) @ ( SV190 @ $false ) )
| ~ ( ord_le519537037nres_a @ ( SV121 @ $true ) @ ( SV190 @ $true ) ) ) )
= $false )
| ( ( ord_le516598614nres_a @ SV121 @ SV190 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1344]) ).
thf(1425,plain,
! [SV190: $o > refine424419629nres_a,SV121: $o > refine424419629nres_a] :
( ( ( ~ ( ord_le519537037nres_a @ ( SV121 @ $false ) @ ( SV190 @ $false ) ) )
= $true )
| ( ( ~ ( ord_le519537037nres_a @ ( SV121 @ $true ) @ ( SV190 @ $true ) ) )
= $true )
| ( ( ~ ( ~ ( ord_le516598614nres_a @ SV121 @ SV190 )
| ~ ~ ( ~ ( ord_le519537037nres_a @ ( SV121 @ $false ) @ ( SV190 @ $false ) )
| ~ ( ord_le519537037nres_a @ ( SV121 @ $true ) @ ( SV190 @ $true ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1345]) ).
thf(1426,plain,
! [SV123: refine432681134nres_b] :
( ( ( SV123 = top_to240090974nres_b )
= $false )
| ( ( refine412683990fail_b @ SV123 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1347]) ).
thf(1427,plain,
! [SV123: refine432681134nres_b] :
( ( ( refine412683990fail_b @ SV123 )
= $true )
| ( ( SV123 = top_to240090974nres_b )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1348]) ).
thf(1428,plain,
! [SV123: refine432681134nres_b] :
( ( ( SV123 != top_to240090974nres_b )
= $true )
| ( ( SV123 = top_to240090974nres_b )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1349]) ).
thf(1429,plain,
! [SV124: refine432681134nres_b,SV191: refine424419629nres_a,SV68: refine432681134nres_b,SV163: refine432681134nres_b > refine424419629nres_a] :
( ( ( ! [SY503: refine432681134nres_b,SY504: refine432681134nres_b] :
( ~ ( ord_le527798542nres_b @ SY503 @ SY504 )
| ( ord_le519537037nres_a @ ( SV163 @ SY503 ) @ ( SV163 @ SY504 ) ) ) )
= $false )
| ( ( ord_le519537037nres_a @ ( SV163 @ SV68 ) @ SV191 )
= $true )
| ( ( ord_le519537037nres_a @ ( SV163 @ SV124 ) @ SV191 )
= $false )
| ( ( ord_le527798542nres_b @ SV68 @ SV124 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1350]) ).
thf(1430,plain,
! [SV192: refine424419629nres_a,SV127: refine424419629nres_a] :
( ( ( SV127 != SV192 )
= $false )
| ( ( SV127 = SV192 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1351]) ).
thf(1431,plain,
! [SV192: refine424419629nres_a,SV127: refine424419629nres_a] :
( ( ( ~ ~ ( ~ ( ord_le519537037nres_a @ SV127 @ SV192 )
| ~ ( ord_le519537037nres_a @ SV192 @ SV127 ) ) )
= $false )
| ( ( SV127 = SV192 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1351]) ).
thf(1432,plain,
! [SV192: refine424419629nres_a,SV127: refine424419629nres_a] :
( ( ( ~ ( ord_le519537037nres_a @ SV127 @ SV192 ) )
= $true )
| ( ( ~ ( ord_le519537037nres_a @ SV192 @ SV127 ) )
= $true )
| ( ( ~ ( ( SV127 != SV192 )
| ~ ~ ( ~ ( ord_le519537037nres_a @ SV127 @ SV192 )
| ~ ( ord_le519537037nres_a @ SV192 @ SV127 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1352]) ).
thf(1433,plain,
! [SV165: refine424419629nres_a,SV193: refine424419629nres_a,SV72: refine432681134nres_b,SV128: refine424419629nres_a > refine432681134nres_b] :
( ( ( ! [SY446: refine424419629nres_a,SY447: refine424419629nres_a] :
( ~ ( ord_le519537037nres_a @ SY446 @ SY447 )
| ( ord_le527798542nres_b @ ( SV128 @ SY446 ) @ ( SV128 @ SY447 ) ) ) )
= $false )
| ( ( ord_le527798542nres_b @ SV72 @ ( SV128 @ SV193 ) )
= $true )
| ( ( ord_le519537037nres_a @ SV165 @ SV193 )
= $false )
| ( ( SV72
= ( SV128 @ SV165 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1353]) ).
thf(1434,plain,
! [SV194: refine424419629nres_a,SV129: refine424419629nres_a] :
( ( ( SV129 != SV194 )
= $false )
| ( ( SV129 = SV194 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1354]) ).
thf(1435,plain,
! [SV194: refine424419629nres_a,SV129: refine424419629nres_a] :
( ( ( ~ ~ ( ~ ( ord_le519537037nres_a @ SV129 @ SV194 )
| ~ ( ord_le519537037nres_a @ SV194 @ SV129 ) ) )
= $false )
| ( ( SV129 = SV194 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1354]) ).
thf(1436,plain,
! [SV194: refine424419629nres_a,SV129: refine424419629nres_a] :
( ( ( ~ ( ord_le519537037nres_a @ SV129 @ SV194 ) )
= $true )
| ( ( ~ ( ord_le519537037nres_a @ SV194 @ SV129 ) )
= $true )
| ( ( ~ ( ( SV129 != SV194 )
| ~ ~ ( ~ ( ord_le519537037nres_a @ SV129 @ SV194 )
| ~ ( ord_le519537037nres_a @ SV194 @ SV129 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1355]) ).
thf(1437,plain,
! [SV131: refine424419629nres_a,SV195: refine424419629nres_a,SV76: refine424419629nres_a,SV168: refine424419629nres_a > refine424419629nres_a] :
( ( ( ! [SY509: refine424419629nres_a,SY510: refine424419629nres_a] :
( ~ ( ord_le519537037nres_a @ SY509 @ SY510 )
| ( ord_le519537037nres_a @ ( SV168 @ SY509 ) @ ( SV168 @ SY510 ) ) ) )
= $false )
| ( ( ord_le519537037nres_a @ ( SV168 @ SV76 ) @ SV195 )
= $true )
| ( ( ( SV168 @ SV131 )
= SV195 )
= $false )
| ( ( ord_le519537037nres_a @ SV76 @ SV131 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1356]) ).
thf(1438,plain,
! [SV169: $o > refine424419629nres_a,SV81: $o > refine424419629nres_a] :
( ( ( ord_le516598614nres_a @ SV81 @ SV169 )
= $true )
| ( ( ord_le516598614nres_a @ SV81 @ SV169 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1357]) ).
thf(1439,plain,
! [SV169: $o > refine424419629nres_a,SV81: $o > refine424419629nres_a] :
( ( ( ! [SY511: $o] : ( ord_le519537037nres_a @ ( SV81 @ SY511 ) @ ( SV169 @ SY511 ) ) )
= $true )
| ( ( ord_le516598614nres_a @ SV81 @ SV169 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1358]) ).
thf(1440,plain,
! [SV169: $o > refine424419629nres_a,SV81: $o > refine424419629nres_a] :
( ( ( ~ ( ord_le516598614nres_a @ SV81 @ SV169 ) )
= $false )
| ( ( ord_le519537037nres_a @ ( SV81 @ ( sK5_SY511 @ SV169 @ SV81 ) ) @ ( SV169 @ ( sK5_SY511 @ SV169 @ SV81 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1359]) ).
thf(1441,plain,
! [SV169: $o > refine424419629nres_a,SV81: $o > refine424419629nres_a] :
( ( ( ~ ! [SY511: $o] : ( ord_le519537037nres_a @ ( SV81 @ SY511 ) @ ( SV169 @ SY511 ) ) )
= $false )
| ( ( ord_le519537037nres_a @ ( SV81 @ ( sK5_SY511 @ SV169 @ SV81 ) ) @ ( SV169 @ ( sK5_SY511 @ SV169 @ SV81 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1359]) ).
thf(1442,plain,
! [SV24: $o] :
( ( ( ~ ( SV24
| $false ) )
= $true )
| ( ( ~ ( ~ SV24
| ~ $false ) )
= $true )
| ( SV24 = $false )
| ( SV24 = $true ) ),
inference(extcnf_or_pos,[status(thm)],[1361]) ).
thf(1443,plain,
! [SV24: $o] :
( ( ( ~ ( SV24
| $false ) )
= $true )
| ( ( ~ ( ~ SV24
| ~ $false ) )
= $true )
| ( SV24 = $false )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[1363]) ).
thf(1444,plain,
! [SV24: $o] :
( ( ( ~ ( SV24
| $false ) )
= $true )
| ( ( ~ ( ~ SV24
| ~ $false ) )
= $true )
| ( $true = $false )
| ( SV24 = $true ) ),
inference(extcnf_or_pos,[status(thm)],[1365]) ).
thf(1445,plain,
! [SV24: $o] :
( ( ( ~ ( SV24
| $false ) )
= $true )
| ( ( ~ ( ~ SV24
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[1367]) ).
thf(1446,plain,
( ( ( ~ ( $true
| $false ) )
= $true )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[1373]) ).
thf(1447,plain,
( ( ( ~ ( $true
| $false ) )
= $true )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[1375]) ).
thf(1448,plain,
( ( ( ~ ( $true
| $false ) )
= $true )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[1377]) ).
thf(1449,plain,
( ( ( ~ ( $true
| $false ) )
= $true )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[1379]) ).
thf(1450,plain,
( ( ( ~ ( $false
| $false ) )
= $true )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_or_pos,[status(thm)],[1385]) ).
thf(1451,plain,
( ( ( ~ ( $false
| $false ) )
= $true )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[1387]) ).
thf(1452,plain,
( ( ( ~ ( $false
| $false ) )
= $true )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_or_pos,[status(thm)],[1389]) ).
thf(1453,plain,
( ( ( ~ ( $false
| $false ) )
= $true )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[1391]) ).
thf(1454,plain,
! [SV134: refine424419629nres_a > refine424419629nres_a,SV29: refine424419629nres_a,SV171: refine424419629nres_a,SV88: refine424419629nres_a] :
( ( ( ! [SY542: refine424419629nres_a] :
( ~ ( ord_le519537037nres_a @ ( sK6_SY458 @ SV88 @ SV171 @ SV29 @ SV134 ) @ SY542 )
| ( ord_le519537037nres_a @ ( SV134 @ ( sK6_SY458 @ SV88 @ SV171 @ SV29 @ SV134 ) ) @ ( SV134 @ SY542 ) ) ) )
= $false )
| ( ( ord_le519537037nres_a @ ( SV134 @ SV29 ) @ SV171 )
= $true )
| ( ( ord_le519537037nres_a @ ( SV134 @ SV88 ) @ SV171 )
= $false )
| ( ( ord_le519537037nres_a @ SV29 @ SV88 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1397]) ).
thf(1455,plain,
! [SV92: refine424419629nres_a,SV138: refine424419629nres_a > $o,SV33: refine424419629nres_a > $o] :
( ( ( ~ ! [SY463: refine424419629nres_a] :
( ~ ( SV33 @ SY463 )
| ~ ! [SY249: refine424419629nres_a] :
( ~ ( SV33 @ SY249 )
| ( ord_le519537037nres_a @ SY249 @ SY463 ) )
| ( SV138 @ SY463 ) ) )
= $true )
| ( ( SV138 @ ( order_1714329108nres_a @ SV33 ) )
= $true )
| ( ( SV33 @ ( sK4_SY372 @ SV138 @ SV92 @ SV33 ) )
= $true )
| ( ( SV33 @ SV92 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1398]) ).
thf(1456,plain,
! [SV92: refine424419629nres_a,SV138: refine424419629nres_a > $o,SV33: refine424419629nres_a > $o] :
( ( ( ! [SY463: refine424419629nres_a] :
( ~ ( SV33 @ SY463 )
| ~ ! [SY249: refine424419629nres_a] :
( ~ ( SV33 @ SY249 )
| ( ord_le519537037nres_a @ SY249 @ SY463 ) )
| ( SV138 @ SY463 ) ) )
= $false )
| ( ( SV138 @ ( order_1714329108nres_a @ SV33 ) )
= $true )
| ( ( ord_le519537037nres_a @ ( sK4_SY372 @ SV138 @ SV92 @ SV33 ) @ SV92 )
= $false )
| ( ( SV33 @ SV92 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1399]) ).
thf(1457,plain,
! [SV174: refine424419629nres_a,SV95: refine424419629nres_a] :
( ( ( SV95 = SV174 )
= $true )
| ( ( SV95 = SV174 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1400]) ).
thf(1458,plain,
! [SV95: refine424419629nres_a,SV174: refine424419629nres_a] :
( ( ( ~ ( ~ ( ord_le519537037nres_a @ SV174 @ SV95 )
| ~ ( ord_le519537037nres_a @ SV95 @ SV174 ) ) )
= $true )
| ( ( SV95 = SV174 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1401]) ).
thf(1459,plain,
! [SV95: refine424419629nres_a,SV174: refine424419629nres_a] :
( ( ( ord_le519537037nres_a @ SV174 @ SV95 )
= $false )
| ( ( ~ ( ord_le519537037nres_a @ SV95 @ SV174 ) )
= $true )
| ( ( ~ ( ( SV95 != SV174 )
| ~ ~ ( ~ ( ord_le519537037nres_a @ SV174 @ SV95 )
| ~ ( ord_le519537037nres_a @ SV95 @ SV174 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1402]) ).
thf(1460,plain,
! [SV141: refine424419629nres_a > refine432681134nres_b,SV38: refine424419629nres_a,SV175: refine432681134nres_b,SV96: refine424419629nres_a] :
( ( ( ! [SY543: refine424419629nres_a] :
( ~ ( ord_le519537037nres_a @ ( sK7_SY467 @ SV96 @ SV175 @ SV38 @ SV141 ) @ SY543 )
| ( ord_le527798542nres_b @ ( SV141 @ ( sK7_SY467 @ SV96 @ SV175 @ SV38 @ SV141 ) ) @ ( SV141 @ SY543 ) ) ) )
= $false )
| ( ( ord_le527798542nres_b @ ( SV141 @ SV38 ) @ SV175 )
= $true )
| ( ( ( SV141 @ SV96 )
= SV175 )
= $false )
| ( ( ord_le519537037nres_a @ SV38 @ SV96 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1403]) ).
thf(1461,plain,
! [SV143: refine424419629nres_a > refine432681134nres_b,SV41: refine424419629nres_a,SV176: refine432681134nres_b,SV98: refine424419629nres_a] :
( ( ( ! [SY544: refine424419629nres_a] :
( ~ ( ord_le519537037nres_a @ ( sK8_SY470 @ SV98 @ SV176 @ SV41 @ SV143 ) @ SY544 )
| ( ord_le527798542nres_b @ ( SV143 @ ( sK8_SY470 @ SV98 @ SV176 @ SV41 @ SV143 ) ) @ ( SV143 @ SY544 ) ) ) )
= $false )
| ( ( ord_le527798542nres_b @ ( SV143 @ SV41 ) @ SV176 )
= $true )
| ( ( ord_le527798542nres_b @ ( SV143 @ SV98 ) @ SV176 )
= $false )
| ( ( ord_le519537037nres_a @ SV41 @ SV98 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1404]) ).
thf(1462,plain,
! [SV42: refine424419629nres_a,SV99: refine424419629nres_a] :
( ( ( ord_le519537037nres_a @ SV99 @ SV42 )
= $true )
| ( ( ord_le519537037nres_a @ SV99 @ SV42 )
= $false )
| ( ( ord_le519537037nres_a @ SV42 @ SV99 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1405]) ).
thf(1463,plain,
! [SV42: refine424419629nres_a,SV99: refine424419629nres_a] :
( ( ( SV99 = SV42 )
= $true )
| ( ( ord_le519537037nres_a @ SV99 @ SV42 )
= $false )
| ( ( ord_le519537037nres_a @ SV42 @ SV99 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1406]) ).
thf(1464,plain,
! [SV42: refine424419629nres_a,SV99: refine424419629nres_a] :
( ( ( ord_le519537037nres_a @ SV99 @ SV42 )
= $true )
| ( ( SV99 = SV42 )
= $false )
| ( ( ord_le519537037nres_a @ SV42 @ SV99 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1407]) ).
thf(1465,plain,
! [SV42: refine424419629nres_a,SV99: refine424419629nres_a] :
( ( ( SV99 = SV42 )
= $true )
| ( ( SV99 = SV42 )
= $false )
| ( ( ord_le519537037nres_a @ SV42 @ SV99 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1408]) ).
thf(1466,plain,
! [SV148: refine424419629nres_a,SV104: refine424419629nres_a,SV198: refine424419629nres_a,SV179: refine424419629nres_a,SV48: $o] :
( ( ( ~ ~ SV48
| ( ord_le519537037nres_a @ SV179 @ SV198 ) )
= $false )
| ( ( ord_le519537037nres_a @ ( if_Ref1724547303nres_a @ SV48 @ SV104 @ SV179 ) @ ( if_Ref1724547303nres_a @ SV48 @ SV148 @ SV198 ) )
= $true )
| ( SV48 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1409]) ).
thf(1467,plain,
! [SV198: refine424419629nres_a,SV148: refine424419629nres_a,SV179: refine424419629nres_a,SV104: refine424419629nres_a,SV48: $o] :
( ( ( ~ ~ SV48 )
= $false )
| ( ( ord_le519537037nres_a @ ( if_Ref1724547303nres_a @ SV48 @ SV104 @ SV179 ) @ ( if_Ref1724547303nres_a @ SV48 @ SV148 @ SV198 ) )
= $true )
| ( ( ord_le519537037nres_a @ SV104 @ SV148 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1410]) ).
thf(1468,plain,
! [SV148: refine424419629nres_a,SV104: refine424419629nres_a,SV48: $o,SV198: refine424419629nres_a,SV179: refine424419629nres_a] :
( ( ( ord_le519537037nres_a @ SV179 @ SV198 )
= $false )
| ( ( ord_le519537037nres_a @ ( if_Ref1724547303nres_a @ SV48 @ SV104 @ SV179 ) @ ( if_Ref1724547303nres_a @ SV48 @ SV148 @ SV198 ) )
= $true )
| ( ( ord_le519537037nres_a @ SV104 @ SV148 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1410]) ).
thf(1469,plain,
! [SV149: refine424419629nres_a,SV105: refine424419629nres_a,SV199: refine424419629nres_a,SV180: refine424419629nres_a] :
( ( ( ~ ~ $true
| ( ord_le519537037nres_a @ SV180 @ SV199 ) )
= $false )
| ( ( ord_le519537037nres_a @ ( if_Ref1724547303nres_a @ $true @ SV105 @ SV180 ) @ ( if_Ref1724547303nres_a @ $true @ SV149 @ SV199 ) )
= $true )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1411]) ).
thf(1470,plain,
! [SV199: refine424419629nres_a,SV149: refine424419629nres_a,SV180: refine424419629nres_a,SV105: refine424419629nres_a] :
( ( ( ~ ~ $true )
= $false )
| ( ( ord_le519537037nres_a @ ( if_Ref1724547303nres_a @ $true @ SV105 @ SV180 ) @ ( if_Ref1724547303nres_a @ $true @ SV149 @ SV199 ) )
= $true )
| ( ( ord_le519537037nres_a @ SV105 @ SV149 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1412]) ).
thf(1471,plain,
! [SV149: refine424419629nres_a,SV105: refine424419629nres_a,SV199: refine424419629nres_a,SV180: refine424419629nres_a] :
( ( ( ord_le519537037nres_a @ SV180 @ SV199 )
= $false )
| ( ( ord_le519537037nres_a @ ( if_Ref1724547303nres_a @ $true @ SV105 @ SV180 ) @ ( if_Ref1724547303nres_a @ $true @ SV149 @ SV199 ) )
= $true )
| ( ( ord_le519537037nres_a @ SV105 @ SV149 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1412]) ).
thf(1472,plain,
! [SV150: refine424419629nres_a,SV106: refine424419629nres_a,SV200: refine424419629nres_a,SV181: refine424419629nres_a] :
( ( ( ~ ~ $false
| ( ord_le519537037nres_a @ SV181 @ SV200 ) )
= $false )
| ( ( ord_le519537037nres_a @ ( if_Ref1724547303nres_a @ $false @ SV106 @ SV181 ) @ ( if_Ref1724547303nres_a @ $false @ SV150 @ SV200 ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1413]) ).
thf(1473,plain,
! [SV200: refine424419629nres_a,SV150: refine424419629nres_a,SV181: refine424419629nres_a,SV106: refine424419629nres_a] :
( ( ( ~ ~ $false )
= $false )
| ( ( ord_le519537037nres_a @ ( if_Ref1724547303nres_a @ $false @ SV106 @ SV181 ) @ ( if_Ref1724547303nres_a @ $false @ SV150 @ SV200 ) )
= $true )
| ( ( ord_le519537037nres_a @ SV106 @ SV150 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1414]) ).
thf(1474,plain,
! [SV150: refine424419629nres_a,SV106: refine424419629nres_a,SV200: refine424419629nres_a,SV181: refine424419629nres_a] :
( ( ( ord_le519537037nres_a @ SV181 @ SV200 )
= $false )
| ( ( ord_le519537037nres_a @ ( if_Ref1724547303nres_a @ $false @ SV106 @ SV181 ) @ ( if_Ref1724547303nres_a @ $false @ SV150 @ SV200 ) )
= $true )
| ( ( ord_le519537037nres_a @ SV106 @ SV150 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1414]) ).
thf(1475,plain,
! [SV107: refine424419629nres_a > refine424419629nres_a,SV49: refine424419629nres_a,SV182: refine424419629nres_a,SV151: refine424419629nres_a] :
( ( ( ! [SY545: refine424419629nres_a] :
( ~ ( ord_le519537037nres_a @ ( sK9_SY406 @ SV151 @ SV182 @ SV49 @ SV107 ) @ SY545 )
| ( ord_le519537037nres_a @ ( SV107 @ ( sK9_SY406 @ SV151 @ SV182 @ SV49 @ SV107 ) ) @ ( SV107 @ SY545 ) ) ) )
= $false )
| ( ( ord_le519537037nres_a @ SV49 @ ( SV107 @ SV182 ) )
= $true )
| ( ( ord_le519537037nres_a @ SV151 @ SV182 )
= $false )
| ( ( SV49
= ( SV107 @ SV151 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1415]) ).
thf(1476,plain,
! [SV108: refine432681134nres_b > refine424419629nres_a,SV50: refine424419629nres_a,SV183: refine432681134nres_b,SV152: refine432681134nres_b] :
( ( ( ! [SY546: refine432681134nres_b] :
( ~ ( ord_le527798542nres_b @ ( sK10_SY410 @ SV152 @ SV183 @ SV50 @ SV108 ) @ SY546 )
| ( ord_le519537037nres_a @ ( SV108 @ ( sK10_SY410 @ SV152 @ SV183 @ SV50 @ SV108 ) ) @ ( SV108 @ SY546 ) ) ) )
= $false )
| ( ( ord_le519537037nres_a @ SV50 @ ( SV108 @ SV183 ) )
= $true )
| ( ( ord_le527798542nres_b @ SV152 @ SV183 )
= $false )
| ( ( ord_le519537037nres_a @ SV50 @ ( SV108 @ SV152 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1416]) ).
thf(1477,plain,
! [SV154: refine432681134nres_b > refine424419629nres_a,SV52: refine432681134nres_b,SV184: refine424419629nres_a,SV110: refine432681134nres_b] :
( ( ( ! [SY547: refine432681134nres_b] :
( ~ ( ord_le527798542nres_b @ ( sK11_SY488 @ SV110 @ SV184 @ SV52 @ SV154 ) @ SY547 )
| ( ord_le519537037nres_a @ ( SV154 @ ( sK11_SY488 @ SV110 @ SV184 @ SV52 @ SV154 ) ) @ ( SV154 @ SY547 ) ) ) )
= $false )
| ( ( ord_le519537037nres_a @ ( SV154 @ SV52 ) @ SV184 )
= $true )
| ( ( ( SV154 @ SV110 )
= SV184 )
= $false )
| ( ( ord_le527798542nres_b @ SV52 @ SV110 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1417]) ).
thf(1478,plain,
! [SV111: refine424419629nres_a > refine432681134nres_b,SV54: refine432681134nres_b,SV185: refine424419629nres_a,SV155: refine424419629nres_a] :
( ( ( ! [SY548: refine424419629nres_a] :
( ~ ( ord_le519537037nres_a @ ( sK12_SY419 @ SV155 @ SV185 @ SV54 @ SV111 ) @ SY548 )
| ( ord_le527798542nres_b @ ( SV111 @ ( sK12_SY419 @ SV155 @ SV185 @ SV54 @ SV111 ) ) @ ( SV111 @ SY548 ) ) ) )
= $false )
| ( ( ord_le527798542nres_b @ SV54 @ ( SV111 @ SV185 ) )
= $true )
| ( ( ord_le519537037nres_a @ SV155 @ SV185 )
= $false )
| ( ( ord_le527798542nres_b @ SV54 @ ( SV111 @ SV155 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1419]) ).
thf(1479,plain,
! [SV114: refine432681134nres_b > refine424419629nres_a,SV58: refine424419629nres_a,SV186: refine432681134nres_b,SV157: refine432681134nres_b] :
( ( ( ! [SY549: refine432681134nres_b] :
( ~ ( ord_le527798542nres_b @ ( sK13_SY425 @ SV157 @ SV186 @ SV58 @ SV114 ) @ SY549 )
| ( ord_le519537037nres_a @ ( SV114 @ ( sK13_SY425 @ SV157 @ SV186 @ SV58 @ SV114 ) ) @ ( SV114 @ SY549 ) ) ) )
= $false )
| ( ( ord_le519537037nres_a @ SV58 @ ( SV114 @ SV186 ) )
= $true )
| ( ( ord_le527798542nres_b @ SV157 @ SV186 )
= $false )
| ( ( SV58
= ( SV114 @ SV157 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1420]) ).
thf(1480,plain,
! [SV119: refine424419629nres_a > refine424419629nres_a,SV63: refine424419629nres_a,SV189: refine424419629nres_a,SV160: refine424419629nres_a] :
( ( ( ! [SY550: refine424419629nres_a] :
( ~ ( ord_le519537037nres_a @ ( sK14_SY434 @ SV160 @ SV189 @ SV63 @ SV119 ) @ SY550 )
| ( ord_le519537037nres_a @ ( SV119 @ ( sK14_SY434 @ SV160 @ SV189 @ SV63 @ SV119 ) ) @ ( SV119 @ SY550 ) ) ) )
= $false )
| ( ( ord_le519537037nres_a @ SV63 @ ( SV119 @ SV189 ) )
= $true )
| ( ( ord_le519537037nres_a @ SV160 @ SV189 )
= $false )
| ( ( ord_le519537037nres_a @ SV63 @ ( SV119 @ SV160 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1422]) ).
thf(1481,plain,
! [SV190: $o > refine424419629nres_a,SV121: $o > refine424419629nres_a] :
( ( ( ord_le516598614nres_a @ SV121 @ SV190 )
= $true )
| ( ( ord_le516598614nres_a @ SV121 @ SV190 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1423]) ).
thf(1482,plain,
! [SV190: $o > refine424419629nres_a,SV121: $o > refine424419629nres_a] :
( ( ( ~ ( ~ ( ord_le519537037nres_a @ ( SV121 @ $false ) @ ( SV190 @ $false ) )
| ~ ( ord_le519537037nres_a @ ( SV121 @ $true ) @ ( SV190 @ $true ) ) ) )
= $true )
| ( ( ord_le516598614nres_a @ SV121 @ SV190 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1424]) ).
thf(1483,plain,
! [SV190: $o > refine424419629nres_a,SV121: $o > refine424419629nres_a] :
( ( ( ord_le519537037nres_a @ ( SV121 @ $false ) @ ( SV190 @ $false ) )
= $false )
| ( ( ~ ( ord_le519537037nres_a @ ( SV121 @ $true ) @ ( SV190 @ $true ) ) )
= $true )
| ( ( ~ ( ~ ( ord_le516598614nres_a @ SV121 @ SV190 )
| ~ ~ ( ~ ( ord_le519537037nres_a @ ( SV121 @ $false ) @ ( SV190 @ $false ) )
| ~ ( ord_le519537037nres_a @ ( SV121 @ $true ) @ ( SV190 @ $true ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1425]) ).
thf(1484,plain,
! [SV123: refine432681134nres_b] :
( ( ( SV123 = top_to240090974nres_b )
= $false )
| ( ( SV123 = top_to240090974nres_b )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1428]) ).
thf(1485,plain,
! [SV163: refine432681134nres_b > refine424419629nres_a,SV68: refine432681134nres_b,SV191: refine424419629nres_a,SV124: refine432681134nres_b] :
( ( ( ! [SY551: refine432681134nres_b] :
( ~ ( ord_le527798542nres_b @ ( sK15_SY503 @ SV124 @ SV191 @ SV68 @ SV163 ) @ SY551 )
| ( ord_le519537037nres_a @ ( SV163 @ ( sK15_SY503 @ SV124 @ SV191 @ SV68 @ SV163 ) ) @ ( SV163 @ SY551 ) ) ) )
= $false )
| ( ( ord_le519537037nres_a @ ( SV163 @ SV68 ) @ SV191 )
= $true )
| ( ( ord_le519537037nres_a @ ( SV163 @ SV124 ) @ SV191 )
= $false )
| ( ( ord_le527798542nres_b @ SV68 @ SV124 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1429]) ).
thf(1486,plain,
! [SV192: refine424419629nres_a,SV127: refine424419629nres_a] :
( ( ( SV127 = SV192 )
= $true )
| ( ( SV127 = SV192 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1430]) ).
thf(1487,plain,
! [SV192: refine424419629nres_a,SV127: refine424419629nres_a] :
( ( ( ~ ( ~ ( ord_le519537037nres_a @ SV127 @ SV192 )
| ~ ( ord_le519537037nres_a @ SV192 @ SV127 ) ) )
= $true )
| ( ( SV127 = SV192 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1431]) ).
thf(1488,plain,
! [SV192: refine424419629nres_a,SV127: refine424419629nres_a] :
( ( ( ord_le519537037nres_a @ SV127 @ SV192 )
= $false )
| ( ( ~ ( ord_le519537037nres_a @ SV192 @ SV127 ) )
= $true )
| ( ( ~ ( ( SV127 != SV192 )
| ~ ~ ( ~ ( ord_le519537037nres_a @ SV127 @ SV192 )
| ~ ( ord_le519537037nres_a @ SV192 @ SV127 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1432]) ).
thf(1489,plain,
! [SV128: refine424419629nres_a > refine432681134nres_b,SV72: refine432681134nres_b,SV193: refine424419629nres_a,SV165: refine424419629nres_a] :
( ( ( ! [SY552: refine424419629nres_a] :
( ~ ( ord_le519537037nres_a @ ( sK16_SY446 @ SV165 @ SV193 @ SV72 @ SV128 ) @ SY552 )
| ( ord_le527798542nres_b @ ( SV128 @ ( sK16_SY446 @ SV165 @ SV193 @ SV72 @ SV128 ) ) @ ( SV128 @ SY552 ) ) ) )
= $false )
| ( ( ord_le527798542nres_b @ SV72 @ ( SV128 @ SV193 ) )
= $true )
| ( ( ord_le519537037nres_a @ SV165 @ SV193 )
= $false )
| ( ( SV72
= ( SV128 @ SV165 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1433]) ).
thf(1490,plain,
! [SV194: refine424419629nres_a,SV129: refine424419629nres_a] :
( ( ( SV129 = SV194 )
= $true )
| ( ( SV129 = SV194 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1434]) ).
thf(1491,plain,
! [SV194: refine424419629nres_a,SV129: refine424419629nres_a] :
( ( ( ~ ( ~ ( ord_le519537037nres_a @ SV129 @ SV194 )
| ~ ( ord_le519537037nres_a @ SV194 @ SV129 ) ) )
= $true )
| ( ( SV129 = SV194 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1435]) ).
thf(1492,plain,
! [SV194: refine424419629nres_a,SV129: refine424419629nres_a] :
( ( ( ord_le519537037nres_a @ SV129 @ SV194 )
= $false )
| ( ( ~ ( ord_le519537037nres_a @ SV194 @ SV129 ) )
= $true )
| ( ( ~ ( ( SV129 != SV194 )
| ~ ~ ( ~ ( ord_le519537037nres_a @ SV129 @ SV194 )
| ~ ( ord_le519537037nres_a @ SV194 @ SV129 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1436]) ).
thf(1493,plain,
! [SV168: refine424419629nres_a > refine424419629nres_a,SV76: refine424419629nres_a,SV195: refine424419629nres_a,SV131: refine424419629nres_a] :
( ( ( ! [SY553: refine424419629nres_a] :
( ~ ( ord_le519537037nres_a @ ( sK17_SY509 @ SV131 @ SV195 @ SV76 @ SV168 ) @ SY553 )
| ( ord_le519537037nres_a @ ( SV168 @ ( sK17_SY509 @ SV131 @ SV195 @ SV76 @ SV168 ) ) @ ( SV168 @ SY553 ) ) ) )
= $false )
| ( ( ord_le519537037nres_a @ ( SV168 @ SV76 ) @ SV195 )
= $true )
| ( ( ( SV168 @ SV131 )
= SV195 )
= $false )
| ( ( ord_le519537037nres_a @ SV76 @ SV131 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1437]) ).
thf(1494,plain,
! [SV169: $o > refine424419629nres_a,SV202: $o,SV81: $o > refine424419629nres_a] :
( ( ( ord_le519537037nres_a @ ( SV81 @ SV202 ) @ ( SV169 @ SV202 ) )
= $true )
| ( ( ord_le516598614nres_a @ SV81 @ SV169 )
= $false ) ),
inference(extcnf_forall_special_pos,[status(thm)],[1439]) ).
thf(1495,plain,
! [SV169: $o > refine424419629nres_a,SV81: $o > refine424419629nres_a] :
( ( ( ord_le519537037nres_a @ ( SV81 @ $true ) @ ( SV169 @ $true ) )
= $true )
| ( ( ord_le516598614nres_a @ SV81 @ SV169 )
= $false ) ),
inference(extcnf_forall_special_pos,[status(thm)],[1439]) ).
thf(1496,plain,
! [SV169: $o > refine424419629nres_a,SV81: $o > refine424419629nres_a] :
( ( ( ord_le519537037nres_a @ ( SV81 @ $false ) @ ( SV169 @ $false ) )
= $true )
| ( ( ord_le516598614nres_a @ SV81 @ SV169 )
= $false ) ),
inference(extcnf_forall_special_pos,[status(thm)],[1439]) ).
thf(1497,plain,
! [SV169: $o > refine424419629nres_a,SV81: $o > refine424419629nres_a] :
( ( ( ord_le516598614nres_a @ SV81 @ SV169 )
= $true )
| ( ( ord_le519537037nres_a @ ( SV81 @ ( sK5_SY511 @ SV169 @ SV81 ) ) @ ( SV169 @ ( sK5_SY511 @ SV169 @ SV81 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1440]) ).
thf(1498,plain,
! [SV169: $o > refine424419629nres_a,SV81: $o > refine424419629nres_a] :
( ( ( ! [SY511: $o] : ( ord_le519537037nres_a @ ( SV81 @ SY511 ) @ ( SV169 @ SY511 ) ) )
= $true )
| ( ( ord_le519537037nres_a @ ( SV81 @ ( sK5_SY511 @ SV169 @ SV81 ) ) @ ( SV169 @ ( sK5_SY511 @ SV169 @ SV81 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1441]) ).
thf(1499,plain,
! [SV24: $o] :
( ( ( SV24
| $false )
= $false )
| ( ( ~ ( ~ SV24
| ~ $false ) )
= $true )
| ( SV24 = $false )
| ( SV24 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1442]) ).
thf(1500,plain,
! [SV24: $o] :
( ( ( SV24
| $false )
= $false )
| ( ( ~ ( ~ SV24
| ~ $false ) )
= $true )
| ( SV24 = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1443]) ).
thf(1501,plain,
! [SV24: $o] :
( ( ( SV24
| $false )
= $false )
| ( ( ~ ( ~ SV24
| ~ $false ) )
= $true )
| ( $true = $false )
| ( SV24 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1444]) ).
thf(1502,plain,
! [SV24: $o] :
( ( ( SV24
| $false )
= $false )
| ( ( ~ ( ~ SV24
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1445]) ).
thf(1503,plain,
( ( ( $true
| $false )
= $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1446]) ).
thf(1504,plain,
( ( ( $true
| $false )
= $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1447]) ).
thf(1505,plain,
( ( ( $true
| $false )
= $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1448]) ).
thf(1506,plain,
( ( ( $true
| $false )
= $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1449]) ).
thf(1507,plain,
( ( ( $false
| $false )
= $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1450]) ).
thf(1508,plain,
( ( ( $false
| $false )
= $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1451]) ).
thf(1509,plain,
( ( ( $false
| $false )
= $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1452]) ).
thf(1510,plain,
( ( ( $false
| $false )
= $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1453]) ).
thf(1511,plain,
! [SV134: refine424419629nres_a > refine424419629nres_a,SV29: refine424419629nres_a,SV171: refine424419629nres_a,SV88: refine424419629nres_a] :
( ( ( ~ ( ord_le519537037nres_a @ ( sK6_SY458 @ SV88 @ SV171 @ SV29 @ SV134 ) @ ( sK18_SY542 @ SV134 @ SV29 @ SV171 @ SV88 ) )
| ( ord_le519537037nres_a @ ( SV134 @ ( sK6_SY458 @ SV88 @ SV171 @ SV29 @ SV134 ) ) @ ( SV134 @ ( sK18_SY542 @ SV134 @ SV29 @ SV171 @ SV88 ) ) ) )
= $false )
| ( ( ord_le519537037nres_a @ ( SV134 @ SV29 ) @ SV171 )
= $true )
| ( ( ord_le519537037nres_a @ ( SV134 @ SV88 ) @ SV171 )
= $false )
| ( ( ord_le519537037nres_a @ SV29 @ SV88 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1454]) ).
thf(1512,plain,
! [SV92: refine424419629nres_a,SV138: refine424419629nres_a > $o,SV33: refine424419629nres_a > $o] :
( ( ( ! [SY463: refine424419629nres_a] :
( ~ ( SV33 @ SY463 )
| ~ ! [SY249: refine424419629nres_a] :
( ~ ( SV33 @ SY249 )
| ( ord_le519537037nres_a @ SY249 @ SY463 ) )
| ( SV138 @ SY463 ) ) )
= $false )
| ( ( SV138 @ ( order_1714329108nres_a @ SV33 ) )
= $true )
| ( ( SV33 @ ( sK4_SY372 @ SV138 @ SV92 @ SV33 ) )
= $true )
| ( ( SV33 @ SV92 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1455]) ).
thf(1513,plain,
! [SV138: refine424419629nres_a > $o,SV92: refine424419629nres_a,SV33: refine424419629nres_a > $o] :
( ( ( ~ ( SV33 @ ( sK19_SY463 @ SV92 @ SV138 @ SV33 ) )
| ~ ! [SY554: refine424419629nres_a] :
( ~ ( SV33 @ SY554 )
| ( ord_le519537037nres_a @ SY554 @ ( sK19_SY463 @ SV92 @ SV138 @ SV33 ) ) )
| ( SV138 @ ( sK19_SY463 @ SV92 @ SV138 @ SV33 ) ) )
= $false )
| ( ( SV138 @ ( order_1714329108nres_a @ SV33 ) )
= $true )
| ( ( ord_le519537037nres_a @ ( sK4_SY372 @ SV138 @ SV92 @ SV33 ) @ SV92 )
= $false )
| ( ( SV33 @ SV92 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1456]) ).
thf(1514,plain,
! [SV95: refine424419629nres_a,SV174: refine424419629nres_a] :
( ( ( ~ ( ord_le519537037nres_a @ SV174 @ SV95 )
| ~ ( ord_le519537037nres_a @ SV95 @ SV174 ) )
= $false )
| ( ( SV95 = SV174 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1458]) ).
thf(1515,plain,
! [SV174: refine424419629nres_a,SV95: refine424419629nres_a] :
( ( ( ord_le519537037nres_a @ SV95 @ SV174 )
= $false )
| ( ( ord_le519537037nres_a @ SV174 @ SV95 )
= $false )
| ( ( ~ ( ( SV95 != SV174 )
| ~ ~ ( ~ ( ord_le519537037nres_a @ SV174 @ SV95 )
| ~ ( ord_le519537037nres_a @ SV95 @ SV174 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1459]) ).
thf(1516,plain,
! [SV141: refine424419629nres_a > refine432681134nres_b,SV38: refine424419629nres_a,SV175: refine432681134nres_b,SV96: refine424419629nres_a] :
( ( ( ~ ( ord_le519537037nres_a @ ( sK7_SY467 @ SV96 @ SV175 @ SV38 @ SV141 ) @ ( sK20_SY543 @ SV141 @ SV38 @ SV175 @ SV96 ) )
| ( ord_le527798542nres_b @ ( SV141 @ ( sK7_SY467 @ SV96 @ SV175 @ SV38 @ SV141 ) ) @ ( SV141 @ ( sK20_SY543 @ SV141 @ SV38 @ SV175 @ SV96 ) ) ) )
= $false )
| ( ( ord_le527798542nres_b @ ( SV141 @ SV38 ) @ SV175 )
= $true )
| ( ( ( SV141 @ SV96 )
= SV175 )
= $false )
| ( ( ord_le519537037nres_a @ SV38 @ SV96 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1460]) ).
thf(1517,plain,
! [SV143: refine424419629nres_a > refine432681134nres_b,SV41: refine424419629nres_a,SV176: refine432681134nres_b,SV98: refine424419629nres_a] :
( ( ( ~ ( ord_le519537037nres_a @ ( sK8_SY470 @ SV98 @ SV176 @ SV41 @ SV143 ) @ ( sK21_SY544 @ SV143 @ SV41 @ SV176 @ SV98 ) )
| ( ord_le527798542nres_b @ ( SV143 @ ( sK8_SY470 @ SV98 @ SV176 @ SV41 @ SV143 ) ) @ ( SV143 @ ( sK21_SY544 @ SV143 @ SV41 @ SV176 @ SV98 ) ) ) )
= $false )
| ( ( ord_le527798542nres_b @ ( SV143 @ SV41 ) @ SV176 )
= $true )
| ( ( ord_le527798542nres_b @ ( SV143 @ SV98 ) @ SV176 )
= $false )
| ( ( ord_le519537037nres_a @ SV41 @ SV98 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1461]) ).
thf(1518,plain,
! [SV198: refine424419629nres_a,SV148: refine424419629nres_a,SV179: refine424419629nres_a,SV104: refine424419629nres_a,SV48: $o] :
( ( ( ~ ~ SV48 )
= $false )
| ( ( ord_le519537037nres_a @ ( if_Ref1724547303nres_a @ SV48 @ SV104 @ SV179 ) @ ( if_Ref1724547303nres_a @ SV48 @ SV148 @ SV198 ) )
= $true )
| ( SV48 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1466]) ).
thf(1519,plain,
! [SV148: refine424419629nres_a,SV104: refine424419629nres_a,SV48: $o,SV198: refine424419629nres_a,SV179: refine424419629nres_a] :
( ( ( ord_le519537037nres_a @ SV179 @ SV198 )
= $false )
| ( ( ord_le519537037nres_a @ ( if_Ref1724547303nres_a @ SV48 @ SV104 @ SV179 ) @ ( if_Ref1724547303nres_a @ SV48 @ SV148 @ SV198 ) )
= $true )
| ( SV48 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1466]) ).
thf(1520,plain,
! [SV198: refine424419629nres_a,SV148: refine424419629nres_a,SV179: refine424419629nres_a,SV104: refine424419629nres_a,SV48: $o] :
( ( ( ~ SV48 ) = $true )
| ( ( ord_le519537037nres_a @ ( if_Ref1724547303nres_a @ SV48 @ SV104 @ SV179 ) @ ( if_Ref1724547303nres_a @ SV48 @ SV148 @ SV198 ) )
= $true )
| ( ( ord_le519537037nres_a @ SV104 @ SV148 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1467]) ).
thf(1521,plain,
! [SV199: refine424419629nres_a,SV149: refine424419629nres_a,SV180: refine424419629nres_a,SV105: refine424419629nres_a] :
( ( ( ~ ~ $true )
= $false )
| ( ( ord_le519537037nres_a @ ( if_Ref1724547303nres_a @ $true @ SV105 @ SV180 ) @ ( if_Ref1724547303nres_a @ $true @ SV149 @ SV199 ) )
= $true )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1469]) ).
thf(1522,plain,
! [SV149: refine424419629nres_a,SV105: refine424419629nres_a,SV199: refine424419629nres_a,SV180: refine424419629nres_a] :
( ( ( ord_le519537037nres_a @ SV180 @ SV199 )
= $false )
| ( ( ord_le519537037nres_a @ ( if_Ref1724547303nres_a @ $true @ SV105 @ SV180 ) @ ( if_Ref1724547303nres_a @ $true @ SV149 @ SV199 ) )
= $true )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1469]) ).
thf(1523,plain,
! [SV199: refine424419629nres_a,SV149: refine424419629nres_a,SV180: refine424419629nres_a,SV105: refine424419629nres_a] :
( ( ( ~ $true ) = $true )
| ( ( ord_le519537037nres_a @ ( if_Ref1724547303nres_a @ $true @ SV105 @ SV180 ) @ ( if_Ref1724547303nres_a @ $true @ SV149 @ SV199 ) )
= $true )
| ( ( ord_le519537037nres_a @ SV105 @ SV149 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1470]) ).
thf(1524,plain,
! [SV200: refine424419629nres_a,SV150: refine424419629nres_a,SV181: refine424419629nres_a,SV106: refine424419629nres_a] :
( ( ( ~ ~ $false )
= $false )
| ( ( ord_le519537037nres_a @ ( if_Ref1724547303nres_a @ $false @ SV106 @ SV181 ) @ ( if_Ref1724547303nres_a @ $false @ SV150 @ SV200 ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1472]) ).
thf(1525,plain,
! [SV150: refine424419629nres_a,SV106: refine424419629nres_a,SV200: refine424419629nres_a,SV181: refine424419629nres_a] :
( ( ( ord_le519537037nres_a @ SV181 @ SV200 )
= $false )
| ( ( ord_le519537037nres_a @ ( if_Ref1724547303nres_a @ $false @ SV106 @ SV181 ) @ ( if_Ref1724547303nres_a @ $false @ SV150 @ SV200 ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1472]) ).
thf(1526,plain,
! [SV200: refine424419629nres_a,SV150: refine424419629nres_a,SV181: refine424419629nres_a,SV106: refine424419629nres_a] :
( ( ( ~ $false ) = $true )
| ( ( ord_le519537037nres_a @ ( if_Ref1724547303nres_a @ $false @ SV106 @ SV181 ) @ ( if_Ref1724547303nres_a @ $false @ SV150 @ SV200 ) )
= $true )
| ( ( ord_le519537037nres_a @ SV106 @ SV150 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1473]) ).
thf(1527,plain,
! [SV107: refine424419629nres_a > refine424419629nres_a,SV49: refine424419629nres_a,SV182: refine424419629nres_a,SV151: refine424419629nres_a] :
( ( ( ~ ( ord_le519537037nres_a @ ( sK9_SY406 @ SV151 @ SV182 @ SV49 @ SV107 ) @ ( sK22_SY545 @ SV107 @ SV49 @ SV182 @ SV151 ) )
| ( ord_le519537037nres_a @ ( SV107 @ ( sK9_SY406 @ SV151 @ SV182 @ SV49 @ SV107 ) ) @ ( SV107 @ ( sK22_SY545 @ SV107 @ SV49 @ SV182 @ SV151 ) ) ) )
= $false )
| ( ( ord_le519537037nres_a @ SV49 @ ( SV107 @ SV182 ) )
= $true )
| ( ( ord_le519537037nres_a @ SV151 @ SV182 )
= $false )
| ( ( SV49
= ( SV107 @ SV151 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1475]) ).
thf(1528,plain,
! [SV108: refine432681134nres_b > refine424419629nres_a,SV50: refine424419629nres_a,SV183: refine432681134nres_b,SV152: refine432681134nres_b] :
( ( ( ~ ( ord_le527798542nres_b @ ( sK10_SY410 @ SV152 @ SV183 @ SV50 @ SV108 ) @ ( sK23_SY546 @ SV108 @ SV50 @ SV183 @ SV152 ) )
| ( ord_le519537037nres_a @ ( SV108 @ ( sK10_SY410 @ SV152 @ SV183 @ SV50 @ SV108 ) ) @ ( SV108 @ ( sK23_SY546 @ SV108 @ SV50 @ SV183 @ SV152 ) ) ) )
= $false )
| ( ( ord_le519537037nres_a @ SV50 @ ( SV108 @ SV183 ) )
= $true )
| ( ( ord_le527798542nres_b @ SV152 @ SV183 )
= $false )
| ( ( ord_le519537037nres_a @ SV50 @ ( SV108 @ SV152 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1476]) ).
thf(1529,plain,
! [SV154: refine432681134nres_b > refine424419629nres_a,SV52: refine432681134nres_b,SV184: refine424419629nres_a,SV110: refine432681134nres_b] :
( ( ( ~ ( ord_le527798542nres_b @ ( sK11_SY488 @ SV110 @ SV184 @ SV52 @ SV154 ) @ ( sK24_SY547 @ SV154 @ SV52 @ SV184 @ SV110 ) )
| ( ord_le519537037nres_a @ ( SV154 @ ( sK11_SY488 @ SV110 @ SV184 @ SV52 @ SV154 ) ) @ ( SV154 @ ( sK24_SY547 @ SV154 @ SV52 @ SV184 @ SV110 ) ) ) )
= $false )
| ( ( ord_le519537037nres_a @ ( SV154 @ SV52 ) @ SV184 )
= $true )
| ( ( ( SV154 @ SV110 )
= SV184 )
= $false )
| ( ( ord_le527798542nres_b @ SV52 @ SV110 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1477]) ).
thf(1530,plain,
! [SV111: refine424419629nres_a > refine432681134nres_b,SV54: refine432681134nres_b,SV185: refine424419629nres_a,SV155: refine424419629nres_a] :
( ( ( ~ ( ord_le519537037nres_a @ ( sK12_SY419 @ SV155 @ SV185 @ SV54 @ SV111 ) @ ( sK25_SY548 @ SV111 @ SV54 @ SV185 @ SV155 ) )
| ( ord_le527798542nres_b @ ( SV111 @ ( sK12_SY419 @ SV155 @ SV185 @ SV54 @ SV111 ) ) @ ( SV111 @ ( sK25_SY548 @ SV111 @ SV54 @ SV185 @ SV155 ) ) ) )
= $false )
| ( ( ord_le527798542nres_b @ SV54 @ ( SV111 @ SV185 ) )
= $true )
| ( ( ord_le519537037nres_a @ SV155 @ SV185 )
= $false )
| ( ( ord_le527798542nres_b @ SV54 @ ( SV111 @ SV155 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1478]) ).
thf(1531,plain,
! [SV114: refine432681134nres_b > refine424419629nres_a,SV58: refine424419629nres_a,SV186: refine432681134nres_b,SV157: refine432681134nres_b] :
( ( ( ~ ( ord_le527798542nres_b @ ( sK13_SY425 @ SV157 @ SV186 @ SV58 @ SV114 ) @ ( sK26_SY549 @ SV114 @ SV58 @ SV186 @ SV157 ) )
| ( ord_le519537037nres_a @ ( SV114 @ ( sK13_SY425 @ SV157 @ SV186 @ SV58 @ SV114 ) ) @ ( SV114 @ ( sK26_SY549 @ SV114 @ SV58 @ SV186 @ SV157 ) ) ) )
= $false )
| ( ( ord_le519537037nres_a @ SV58 @ ( SV114 @ SV186 ) )
= $true )
| ( ( ord_le527798542nres_b @ SV157 @ SV186 )
= $false )
| ( ( SV58
= ( SV114 @ SV157 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1479]) ).
thf(1532,plain,
! [SV119: refine424419629nres_a > refine424419629nres_a,SV63: refine424419629nres_a,SV189: refine424419629nres_a,SV160: refine424419629nres_a] :
( ( ( ~ ( ord_le519537037nres_a @ ( sK14_SY434 @ SV160 @ SV189 @ SV63 @ SV119 ) @ ( sK27_SY550 @ SV119 @ SV63 @ SV189 @ SV160 ) )
| ( ord_le519537037nres_a @ ( SV119 @ ( sK14_SY434 @ SV160 @ SV189 @ SV63 @ SV119 ) ) @ ( SV119 @ ( sK27_SY550 @ SV119 @ SV63 @ SV189 @ SV160 ) ) ) )
= $false )
| ( ( ord_le519537037nres_a @ SV63 @ ( SV119 @ SV189 ) )
= $true )
| ( ( ord_le519537037nres_a @ SV160 @ SV189 )
= $false )
| ( ( ord_le519537037nres_a @ SV63 @ ( SV119 @ SV160 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1480]) ).
thf(1533,plain,
! [SV190: $o > refine424419629nres_a,SV121: $o > refine424419629nres_a] :
( ( ( ~ ( ord_le519537037nres_a @ ( SV121 @ $false ) @ ( SV190 @ $false ) )
| ~ ( ord_le519537037nres_a @ ( SV121 @ $true ) @ ( SV190 @ $true ) ) )
= $false )
| ( ( ord_le516598614nres_a @ SV121 @ SV190 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1482]) ).
thf(1534,plain,
! [SV190: $o > refine424419629nres_a,SV121: $o > refine424419629nres_a] :
( ( ( ord_le519537037nres_a @ ( SV121 @ $true ) @ ( SV190 @ $true ) )
= $false )
| ( ( ord_le519537037nres_a @ ( SV121 @ $false ) @ ( SV190 @ $false ) )
= $false )
| ( ( ~ ( ~ ( ord_le516598614nres_a @ SV121 @ SV190 )
| ~ ~ ( ~ ( ord_le519537037nres_a @ ( SV121 @ $false ) @ ( SV190 @ $false ) )
| ~ ( ord_le519537037nres_a @ ( SV121 @ $true ) @ ( SV190 @ $true ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1483]) ).
thf(1535,plain,
! [SV163: refine432681134nres_b > refine424419629nres_a,SV68: refine432681134nres_b,SV191: refine424419629nres_a,SV124: refine432681134nres_b] :
( ( ( ~ ( ord_le527798542nres_b @ ( sK15_SY503 @ SV124 @ SV191 @ SV68 @ SV163 ) @ ( sK28_SY551 @ SV163 @ SV68 @ SV191 @ SV124 ) )
| ( ord_le519537037nres_a @ ( SV163 @ ( sK15_SY503 @ SV124 @ SV191 @ SV68 @ SV163 ) ) @ ( SV163 @ ( sK28_SY551 @ SV163 @ SV68 @ SV191 @ SV124 ) ) ) )
= $false )
| ( ( ord_le519537037nres_a @ ( SV163 @ SV68 ) @ SV191 )
= $true )
| ( ( ord_le519537037nres_a @ ( SV163 @ SV124 ) @ SV191 )
= $false )
| ( ( ord_le527798542nres_b @ SV68 @ SV124 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1485]) ).
thf(1536,plain,
! [SV192: refine424419629nres_a,SV127: refine424419629nres_a] :
( ( ( ~ ( ord_le519537037nres_a @ SV127 @ SV192 )
| ~ ( ord_le519537037nres_a @ SV192 @ SV127 ) )
= $false )
| ( ( SV127 = SV192 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1487]) ).
thf(1537,plain,
! [SV127: refine424419629nres_a,SV192: refine424419629nres_a] :
( ( ( ord_le519537037nres_a @ SV192 @ SV127 )
= $false )
| ( ( ord_le519537037nres_a @ SV127 @ SV192 )
= $false )
| ( ( ~ ( ( SV127 != SV192 )
| ~ ~ ( ~ ( ord_le519537037nres_a @ SV127 @ SV192 )
| ~ ( ord_le519537037nres_a @ SV192 @ SV127 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1488]) ).
thf(1538,plain,
! [SV128: refine424419629nres_a > refine432681134nres_b,SV72: refine432681134nres_b,SV193: refine424419629nres_a,SV165: refine424419629nres_a] :
( ( ( ~ ( ord_le519537037nres_a @ ( sK16_SY446 @ SV165 @ SV193 @ SV72 @ SV128 ) @ ( sK29_SY552 @ SV128 @ SV72 @ SV193 @ SV165 ) )
| ( ord_le527798542nres_b @ ( SV128 @ ( sK16_SY446 @ SV165 @ SV193 @ SV72 @ SV128 ) ) @ ( SV128 @ ( sK29_SY552 @ SV128 @ SV72 @ SV193 @ SV165 ) ) ) )
= $false )
| ( ( ord_le527798542nres_b @ SV72 @ ( SV128 @ SV193 ) )
= $true )
| ( ( ord_le519537037nres_a @ SV165 @ SV193 )
= $false )
| ( ( SV72
= ( SV128 @ SV165 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1489]) ).
thf(1539,plain,
! [SV194: refine424419629nres_a,SV129: refine424419629nres_a] :
( ( ( ~ ( ord_le519537037nres_a @ SV129 @ SV194 )
| ~ ( ord_le519537037nres_a @ SV194 @ SV129 ) )
= $false )
| ( ( SV129 = SV194 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1491]) ).
thf(1540,plain,
! [SV129: refine424419629nres_a,SV194: refine424419629nres_a] :
( ( ( ord_le519537037nres_a @ SV194 @ SV129 )
= $false )
| ( ( ord_le519537037nres_a @ SV129 @ SV194 )
= $false )
| ( ( ~ ( ( SV129 != SV194 )
| ~ ~ ( ~ ( ord_le519537037nres_a @ SV129 @ SV194 )
| ~ ( ord_le519537037nres_a @ SV194 @ SV129 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1492]) ).
thf(1541,plain,
! [SV168: refine424419629nres_a > refine424419629nres_a,SV76: refine424419629nres_a,SV195: refine424419629nres_a,SV131: refine424419629nres_a] :
( ( ( ~ ( ord_le519537037nres_a @ ( sK17_SY509 @ SV131 @ SV195 @ SV76 @ SV168 ) @ ( sK30_SY553 @ SV168 @ SV76 @ SV195 @ SV131 ) )
| ( ord_le519537037nres_a @ ( SV168 @ ( sK17_SY509 @ SV131 @ SV195 @ SV76 @ SV168 ) ) @ ( SV168 @ ( sK30_SY553 @ SV168 @ SV76 @ SV195 @ SV131 ) ) ) )
= $false )
| ( ( ord_le519537037nres_a @ ( SV168 @ SV76 ) @ SV195 )
= $true )
| ( ( ( SV168 @ SV131 )
= SV195 )
= $false )
| ( ( ord_le519537037nres_a @ SV76 @ SV131 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1493]) ).
thf(1542,plain,
! [SV169: $o > refine424419629nres_a,SV203: $o,SV81: $o > refine424419629nres_a] :
( ( ( ord_le519537037nres_a @ ( SV81 @ SV203 ) @ ( SV169 @ SV203 ) )
= $true )
| ( ( ord_le519537037nres_a @ ( SV81 @ ( sK5_SY511 @ SV169 @ SV81 ) ) @ ( SV169 @ ( sK5_SY511 @ SV169 @ SV81 ) ) )
= $false ) ),
inference(extcnf_forall_special_pos,[status(thm)],[1498]) ).
thf(1543,plain,
! [SV169: $o > refine424419629nres_a,SV81: $o > refine424419629nres_a] :
( ( ( ord_le519537037nres_a @ ( SV81 @ $true ) @ ( SV169 @ $true ) )
= $true )
| ( ( ord_le519537037nres_a @ ( SV81 @ ( sK5_SY511 @ SV169 @ SV81 ) ) @ ( SV169 @ ( sK5_SY511 @ SV169 @ SV81 ) ) )
= $false ) ),
inference(extcnf_forall_special_pos,[status(thm)],[1498]) ).
thf(1544,plain,
! [SV169: $o > refine424419629nres_a,SV81: $o > refine424419629nres_a] :
( ( ( ord_le519537037nres_a @ ( SV81 @ $false ) @ ( SV169 @ $false ) )
= $true )
| ( ( ord_le519537037nres_a @ ( SV81 @ ( sK5_SY511 @ SV169 @ SV81 ) ) @ ( SV169 @ ( sK5_SY511 @ SV169 @ SV81 ) ) )
= $false ) ),
inference(extcnf_forall_special_pos,[status(thm)],[1498]) ).
thf(1545,plain,
! [SV24: $o] :
( ( SV24 = $false )
| ( ( ~ ( ~ SV24
| ~ $false ) )
= $true )
| ( SV24 = $false )
| ( SV24 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1499]) ).
thf(1546,plain,
! [SV24: $o] :
( ( $false = $false )
| ( ( ~ ( ~ SV24
| ~ $false ) )
= $true )
| ( SV24 = $false )
| ( SV24 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1499]) ).
thf(1547,plain,
! [SV24: $o] :
( ( SV24 = $false )
| ( ( ~ ( ~ SV24
| ~ $false ) )
= $true )
| ( SV24 = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1500]) ).
thf(1548,plain,
! [SV24: $o] :
( ( $false = $false )
| ( ( ~ ( ~ SV24
| ~ $false ) )
= $true )
| ( SV24 = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1500]) ).
thf(1549,plain,
! [SV24: $o] :
( ( SV24 = $false )
| ( ( ~ ( ~ SV24
| ~ $false ) )
= $true )
| ( $true = $false )
| ( SV24 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1501]) ).
thf(1550,plain,
! [SV24: $o] :
( ( $false = $false )
| ( ( ~ ( ~ SV24
| ~ $false ) )
= $true )
| ( $true = $false )
| ( SV24 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1501]) ).
thf(1551,plain,
! [SV24: $o] :
( ( SV24 = $false )
| ( ( ~ ( ~ SV24
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1502]) ).
thf(1552,plain,
! [SV24: $o] :
( ( $false = $false )
| ( ( ~ ( ~ SV24
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1502]) ).
thf(1553,plain,
( ( $true = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1503]) ).
thf(1554,plain,
( ( $false = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1503]) ).
thf(1555,plain,
( ( $true = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1504]) ).
thf(1556,plain,
( ( $false = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1504]) ).
thf(1557,plain,
( ( $true = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1505]) ).
thf(1558,plain,
( ( $false = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1505]) ).
thf(1559,plain,
( ( $true = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1506]) ).
thf(1560,plain,
( ( $false = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1506]) ).
thf(1561,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1507]) ).
thf(1562,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1507]) ).
thf(1563,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1508]) ).
thf(1564,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1508]) ).
thf(1565,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1509]) ).
thf(1566,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1509]) ).
thf(1567,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1510]) ).
thf(1568,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1510]) ).
thf(1569,plain,
! [SV134: refine424419629nres_a > refine424419629nres_a,SV29: refine424419629nres_a,SV171: refine424419629nres_a,SV88: refine424419629nres_a] :
( ( ( ~ ( ord_le519537037nres_a @ ( sK6_SY458 @ SV88 @ SV171 @ SV29 @ SV134 ) @ ( sK18_SY542 @ SV134 @ SV29 @ SV171 @ SV88 ) ) )
= $false )
| ( ( ord_le519537037nres_a @ ( SV134 @ SV29 ) @ SV171 )
= $true )
| ( ( ord_le519537037nres_a @ ( SV134 @ SV88 ) @ SV171 )
= $false )
| ( ( ord_le519537037nres_a @ SV29 @ SV88 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1511]) ).
thf(1570,plain,
! [SV29: refine424419629nres_a,SV171: refine424419629nres_a,SV88: refine424419629nres_a,SV134: refine424419629nres_a > refine424419629nres_a] :
( ( ( ord_le519537037nres_a @ ( SV134 @ ( sK6_SY458 @ SV88 @ SV171 @ SV29 @ SV134 ) ) @ ( SV134 @ ( sK18_SY542 @ SV134 @ SV29 @ SV171 @ SV88 ) ) )
= $false )
| ( ( ord_le519537037nres_a @ ( SV134 @ SV29 ) @ SV171 )
= $true )
| ( ( ord_le519537037nres_a @ ( SV134 @ SV88 ) @ SV171 )
= $false )
| ( ( ord_le519537037nres_a @ SV29 @ SV88 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1511]) ).
thf(1571,plain,
! [SV138: refine424419629nres_a > $o,SV92: refine424419629nres_a,SV33: refine424419629nres_a > $o] :
( ( ( ~ ( SV33 @ ( sK31_SY463 @ SV92 @ SV138 @ SV33 ) )
| ~ ! [SY555: refine424419629nres_a] :
( ~ ( SV33 @ SY555 )
| ( ord_le519537037nres_a @ SY555 @ ( sK31_SY463 @ SV92 @ SV138 @ SV33 ) ) )
| ( SV138 @ ( sK31_SY463 @ SV92 @ SV138 @ SV33 ) ) )
= $false )
| ( ( SV138 @ ( order_1714329108nres_a @ SV33 ) )
= $true )
| ( ( SV33 @ ( sK4_SY372 @ SV138 @ SV92 @ SV33 ) )
= $true )
| ( ( SV33 @ SV92 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1512]) ).
thf(1572,plain,
! [SV138: refine424419629nres_a > $o,SV92: refine424419629nres_a,SV33: refine424419629nres_a > $o] :
( ( ( ~ ( SV33 @ ( sK19_SY463 @ SV92 @ SV138 @ SV33 ) ) )
= $false )
| ( ( SV138 @ ( order_1714329108nres_a @ SV33 ) )
= $true )
| ( ( ord_le519537037nres_a @ ( sK4_SY372 @ SV138 @ SV92 @ SV33 ) @ SV92 )
= $false )
| ( ( SV33 @ SV92 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1513]) ).
thf(1573,plain,
! [SV138: refine424419629nres_a > $o,SV92: refine424419629nres_a,SV33: refine424419629nres_a > $o] :
( ( ( ~ ! [SY554: refine424419629nres_a] :
( ~ ( SV33 @ SY554 )
| ( ord_le519537037nres_a @ SY554 @ ( sK19_SY463 @ SV92 @ SV138 @ SV33 ) ) )
| ( SV138 @ ( sK19_SY463 @ SV92 @ SV138 @ SV33 ) ) )
= $false )
| ( ( SV138 @ ( order_1714329108nres_a @ SV33 ) )
= $true )
| ( ( ord_le519537037nres_a @ ( sK4_SY372 @ SV138 @ SV92 @ SV33 ) @ SV92 )
= $false )
| ( ( SV33 @ SV92 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1513]) ).
thf(1574,plain,
! [SV95: refine424419629nres_a,SV174: refine424419629nres_a] :
( ( ( ~ ( ord_le519537037nres_a @ SV174 @ SV95 ) )
= $false )
| ( ( SV95 = SV174 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1514]) ).
thf(1575,plain,
! [SV174: refine424419629nres_a,SV95: refine424419629nres_a] :
( ( ( ~ ( ord_le519537037nres_a @ SV95 @ SV174 ) )
= $false )
| ( ( SV95 = SV174 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1514]) ).
thf(1576,plain,
! [SV174: refine424419629nres_a,SV95: refine424419629nres_a] :
( ( ( ( SV95 != SV174 )
| ~ ~ ( ~ ( ord_le519537037nres_a @ SV174 @ SV95 )
| ~ ( ord_le519537037nres_a @ SV95 @ SV174 ) ) )
= $false )
| ( ( ord_le519537037nres_a @ SV174 @ SV95 )
= $false )
| ( ( ord_le519537037nres_a @ SV95 @ SV174 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1515]) ).
thf(1577,plain,
! [SV141: refine424419629nres_a > refine432681134nres_b,SV38: refine424419629nres_a,SV175: refine432681134nres_b,SV96: refine424419629nres_a] :
( ( ( ~ ( ord_le519537037nres_a @ ( sK7_SY467 @ SV96 @ SV175 @ SV38 @ SV141 ) @ ( sK20_SY543 @ SV141 @ SV38 @ SV175 @ SV96 ) ) )
= $false )
| ( ( ord_le527798542nres_b @ ( SV141 @ SV38 ) @ SV175 )
= $true )
| ( ( ( SV141 @ SV96 )
= SV175 )
= $false )
| ( ( ord_le519537037nres_a @ SV38 @ SV96 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1516]) ).
thf(1578,plain,
! [SV38: refine424419629nres_a,SV175: refine432681134nres_b,SV96: refine424419629nres_a,SV141: refine424419629nres_a > refine432681134nres_b] :
( ( ( ord_le527798542nres_b @ ( SV141 @ ( sK7_SY467 @ SV96 @ SV175 @ SV38 @ SV141 ) ) @ ( SV141 @ ( sK20_SY543 @ SV141 @ SV38 @ SV175 @ SV96 ) ) )
= $false )
| ( ( ord_le527798542nres_b @ ( SV141 @ SV38 ) @ SV175 )
= $true )
| ( ( ( SV141 @ SV96 )
= SV175 )
= $false )
| ( ( ord_le519537037nres_a @ SV38 @ SV96 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1516]) ).
thf(1579,plain,
! [SV143: refine424419629nres_a > refine432681134nres_b,SV41: refine424419629nres_a,SV176: refine432681134nres_b,SV98: refine424419629nres_a] :
( ( ( ~ ( ord_le519537037nres_a @ ( sK8_SY470 @ SV98 @ SV176 @ SV41 @ SV143 ) @ ( sK21_SY544 @ SV143 @ SV41 @ SV176 @ SV98 ) ) )
= $false )
| ( ( ord_le527798542nres_b @ ( SV143 @ SV41 ) @ SV176 )
= $true )
| ( ( ord_le527798542nres_b @ ( SV143 @ SV98 ) @ SV176 )
= $false )
| ( ( ord_le519537037nres_a @ SV41 @ SV98 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1517]) ).
thf(1580,plain,
! [SV41: refine424419629nres_a,SV176: refine432681134nres_b,SV98: refine424419629nres_a,SV143: refine424419629nres_a > refine432681134nres_b] :
( ( ( ord_le527798542nres_b @ ( SV143 @ ( sK8_SY470 @ SV98 @ SV176 @ SV41 @ SV143 ) ) @ ( SV143 @ ( sK21_SY544 @ SV143 @ SV41 @ SV176 @ SV98 ) ) )
= $false )
| ( ( ord_le527798542nres_b @ ( SV143 @ SV41 ) @ SV176 )
= $true )
| ( ( ord_le527798542nres_b @ ( SV143 @ SV98 ) @ SV176 )
= $false )
| ( ( ord_le519537037nres_a @ SV41 @ SV98 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1517]) ).
thf(1581,plain,
! [SV198: refine424419629nres_a,SV148: refine424419629nres_a,SV179: refine424419629nres_a,SV104: refine424419629nres_a,SV48: $o] :
( ( ( ~ SV48 ) = $true )
| ( ( ord_le519537037nres_a @ ( if_Ref1724547303nres_a @ SV48 @ SV104 @ SV179 ) @ ( if_Ref1724547303nres_a @ SV48 @ SV148 @ SV198 ) )
= $true )
| ( SV48 = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1518]) ).
thf(1582,plain,
! [SV198: refine424419629nres_a,SV148: refine424419629nres_a,SV179: refine424419629nres_a,SV104: refine424419629nres_a,SV48: $o] :
( ( SV48 = $false )
| ( ( ord_le519537037nres_a @ ( if_Ref1724547303nres_a @ SV48 @ SV104 @ SV179 ) @ ( if_Ref1724547303nres_a @ SV48 @ SV148 @ SV198 ) )
= $true )
| ( ( ord_le519537037nres_a @ SV104 @ SV148 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1520]) ).
thf(1583,plain,
! [SV199: refine424419629nres_a,SV149: refine424419629nres_a,SV180: refine424419629nres_a,SV105: refine424419629nres_a] :
( ( ( ~ $true ) = $true )
| ( ( ord_le519537037nres_a @ ( if_Ref1724547303nres_a @ $true @ SV105 @ SV180 ) @ ( if_Ref1724547303nres_a @ $true @ SV149 @ SV199 ) )
= $true )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1521]) ).
thf(1584,plain,
! [SV199: refine424419629nres_a,SV149: refine424419629nres_a,SV180: refine424419629nres_a,SV105: refine424419629nres_a] :
( ( $true = $false )
| ( ( ord_le519537037nres_a @ ( if_Ref1724547303nres_a @ $true @ SV105 @ SV180 ) @ ( if_Ref1724547303nres_a @ $true @ SV149 @ SV199 ) )
= $true )
| ( ( ord_le519537037nres_a @ SV105 @ SV149 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1523]) ).
thf(1585,plain,
! [SV200: refine424419629nres_a,SV150: refine424419629nres_a,SV181: refine424419629nres_a,SV106: refine424419629nres_a] :
( ( ( ~ $false ) = $true )
| ( ( ord_le519537037nres_a @ ( if_Ref1724547303nres_a @ $false @ SV106 @ SV181 ) @ ( if_Ref1724547303nres_a @ $false @ SV150 @ SV200 ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1524]) ).
thf(1586,plain,
! [SV200: refine424419629nres_a,SV150: refine424419629nres_a,SV181: refine424419629nres_a,SV106: refine424419629nres_a] :
( ( $false = $false )
| ( ( ord_le519537037nres_a @ ( if_Ref1724547303nres_a @ $false @ SV106 @ SV181 ) @ ( if_Ref1724547303nres_a @ $false @ SV150 @ SV200 ) )
= $true )
| ( ( ord_le519537037nres_a @ SV106 @ SV150 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1526]) ).
thf(1587,plain,
! [SV107: refine424419629nres_a > refine424419629nres_a,SV49: refine424419629nres_a,SV182: refine424419629nres_a,SV151: refine424419629nres_a] :
( ( ( ~ ( ord_le519537037nres_a @ ( sK9_SY406 @ SV151 @ SV182 @ SV49 @ SV107 ) @ ( sK22_SY545 @ SV107 @ SV49 @ SV182 @ SV151 ) ) )
= $false )
| ( ( ord_le519537037nres_a @ SV49 @ ( SV107 @ SV182 ) )
= $true )
| ( ( ord_le519537037nres_a @ SV151 @ SV182 )
= $false )
| ( ( SV49
= ( SV107 @ SV151 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1527]) ).
thf(1588,plain,
! [SV49: refine424419629nres_a,SV182: refine424419629nres_a,SV151: refine424419629nres_a,SV107: refine424419629nres_a > refine424419629nres_a] :
( ( ( ord_le519537037nres_a @ ( SV107 @ ( sK9_SY406 @ SV151 @ SV182 @ SV49 @ SV107 ) ) @ ( SV107 @ ( sK22_SY545 @ SV107 @ SV49 @ SV182 @ SV151 ) ) )
= $false )
| ( ( ord_le519537037nres_a @ SV49 @ ( SV107 @ SV182 ) )
= $true )
| ( ( ord_le519537037nres_a @ SV151 @ SV182 )
= $false )
| ( ( SV49
= ( SV107 @ SV151 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1527]) ).
thf(1589,plain,
! [SV108: refine432681134nres_b > refine424419629nres_a,SV50: refine424419629nres_a,SV183: refine432681134nres_b,SV152: refine432681134nres_b] :
( ( ( ~ ( ord_le527798542nres_b @ ( sK10_SY410 @ SV152 @ SV183 @ SV50 @ SV108 ) @ ( sK23_SY546 @ SV108 @ SV50 @ SV183 @ SV152 ) ) )
= $false )
| ( ( ord_le519537037nres_a @ SV50 @ ( SV108 @ SV183 ) )
= $true )
| ( ( ord_le527798542nres_b @ SV152 @ SV183 )
= $false )
| ( ( ord_le519537037nres_a @ SV50 @ ( SV108 @ SV152 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1528]) ).
thf(1590,plain,
! [SV50: refine424419629nres_a,SV183: refine432681134nres_b,SV152: refine432681134nres_b,SV108: refine432681134nres_b > refine424419629nres_a] :
( ( ( ord_le519537037nres_a @ ( SV108 @ ( sK10_SY410 @ SV152 @ SV183 @ SV50 @ SV108 ) ) @ ( SV108 @ ( sK23_SY546 @ SV108 @ SV50 @ SV183 @ SV152 ) ) )
= $false )
| ( ( ord_le519537037nres_a @ SV50 @ ( SV108 @ SV183 ) )
= $true )
| ( ( ord_le527798542nres_b @ SV152 @ SV183 )
= $false )
| ( ( ord_le519537037nres_a @ SV50 @ ( SV108 @ SV152 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1528]) ).
thf(1591,plain,
! [SV154: refine432681134nres_b > refine424419629nres_a,SV52: refine432681134nres_b,SV184: refine424419629nres_a,SV110: refine432681134nres_b] :
( ( ( ~ ( ord_le527798542nres_b @ ( sK11_SY488 @ SV110 @ SV184 @ SV52 @ SV154 ) @ ( sK24_SY547 @ SV154 @ SV52 @ SV184 @ SV110 ) ) )
= $false )
| ( ( ord_le519537037nres_a @ ( SV154 @ SV52 ) @ SV184 )
= $true )
| ( ( ( SV154 @ SV110 )
= SV184 )
= $false )
| ( ( ord_le527798542nres_b @ SV52 @ SV110 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1529]) ).
thf(1592,plain,
! [SV52: refine432681134nres_b,SV184: refine424419629nres_a,SV110: refine432681134nres_b,SV154: refine432681134nres_b > refine424419629nres_a] :
( ( ( ord_le519537037nres_a @ ( SV154 @ ( sK11_SY488 @ SV110 @ SV184 @ SV52 @ SV154 ) ) @ ( SV154 @ ( sK24_SY547 @ SV154 @ SV52 @ SV184 @ SV110 ) ) )
= $false )
| ( ( ord_le519537037nres_a @ ( SV154 @ SV52 ) @ SV184 )
= $true )
| ( ( ( SV154 @ SV110 )
= SV184 )
= $false )
| ( ( ord_le527798542nres_b @ SV52 @ SV110 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1529]) ).
thf(1593,plain,
! [SV111: refine424419629nres_a > refine432681134nres_b,SV54: refine432681134nres_b,SV185: refine424419629nres_a,SV155: refine424419629nres_a] :
( ( ( ~ ( ord_le519537037nres_a @ ( sK12_SY419 @ SV155 @ SV185 @ SV54 @ SV111 ) @ ( sK25_SY548 @ SV111 @ SV54 @ SV185 @ SV155 ) ) )
= $false )
| ( ( ord_le527798542nres_b @ SV54 @ ( SV111 @ SV185 ) )
= $true )
| ( ( ord_le519537037nres_a @ SV155 @ SV185 )
= $false )
| ( ( ord_le527798542nres_b @ SV54 @ ( SV111 @ SV155 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1530]) ).
thf(1594,plain,
! [SV54: refine432681134nres_b,SV185: refine424419629nres_a,SV155: refine424419629nres_a,SV111: refine424419629nres_a > refine432681134nres_b] :
( ( ( ord_le527798542nres_b @ ( SV111 @ ( sK12_SY419 @ SV155 @ SV185 @ SV54 @ SV111 ) ) @ ( SV111 @ ( sK25_SY548 @ SV111 @ SV54 @ SV185 @ SV155 ) ) )
= $false )
| ( ( ord_le527798542nres_b @ SV54 @ ( SV111 @ SV185 ) )
= $true )
| ( ( ord_le519537037nres_a @ SV155 @ SV185 )
= $false )
| ( ( ord_le527798542nres_b @ SV54 @ ( SV111 @ SV155 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1530]) ).
thf(1595,plain,
! [SV114: refine432681134nres_b > refine424419629nres_a,SV58: refine424419629nres_a,SV186: refine432681134nres_b,SV157: refine432681134nres_b] :
( ( ( ~ ( ord_le527798542nres_b @ ( sK13_SY425 @ SV157 @ SV186 @ SV58 @ SV114 ) @ ( sK26_SY549 @ SV114 @ SV58 @ SV186 @ SV157 ) ) )
= $false )
| ( ( ord_le519537037nres_a @ SV58 @ ( SV114 @ SV186 ) )
= $true )
| ( ( ord_le527798542nres_b @ SV157 @ SV186 )
= $false )
| ( ( SV58
= ( SV114 @ SV157 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1531]) ).
thf(1596,plain,
! [SV58: refine424419629nres_a,SV186: refine432681134nres_b,SV157: refine432681134nres_b,SV114: refine432681134nres_b > refine424419629nres_a] :
( ( ( ord_le519537037nres_a @ ( SV114 @ ( sK13_SY425 @ SV157 @ SV186 @ SV58 @ SV114 ) ) @ ( SV114 @ ( sK26_SY549 @ SV114 @ SV58 @ SV186 @ SV157 ) ) )
= $false )
| ( ( ord_le519537037nres_a @ SV58 @ ( SV114 @ SV186 ) )
= $true )
| ( ( ord_le527798542nres_b @ SV157 @ SV186 )
= $false )
| ( ( SV58
= ( SV114 @ SV157 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1531]) ).
thf(1597,plain,
! [SV119: refine424419629nres_a > refine424419629nres_a,SV63: refine424419629nres_a,SV189: refine424419629nres_a,SV160: refine424419629nres_a] :
( ( ( ~ ( ord_le519537037nres_a @ ( sK14_SY434 @ SV160 @ SV189 @ SV63 @ SV119 ) @ ( sK27_SY550 @ SV119 @ SV63 @ SV189 @ SV160 ) ) )
= $false )
| ( ( ord_le519537037nres_a @ SV63 @ ( SV119 @ SV189 ) )
= $true )
| ( ( ord_le519537037nres_a @ SV160 @ SV189 )
= $false )
| ( ( ord_le519537037nres_a @ SV63 @ ( SV119 @ SV160 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1532]) ).
thf(1598,plain,
! [SV63: refine424419629nres_a,SV189: refine424419629nres_a,SV160: refine424419629nres_a,SV119: refine424419629nres_a > refine424419629nres_a] :
( ( ( ord_le519537037nres_a @ ( SV119 @ ( sK14_SY434 @ SV160 @ SV189 @ SV63 @ SV119 ) ) @ ( SV119 @ ( sK27_SY550 @ SV119 @ SV63 @ SV189 @ SV160 ) ) )
= $false )
| ( ( ord_le519537037nres_a @ SV63 @ ( SV119 @ SV189 ) )
= $true )
| ( ( ord_le519537037nres_a @ SV160 @ SV189 )
= $false )
| ( ( ord_le519537037nres_a @ SV63 @ ( SV119 @ SV160 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1532]) ).
thf(1599,plain,
! [SV190: $o > refine424419629nres_a,SV121: $o > refine424419629nres_a] :
( ( ( ~ ( ord_le519537037nres_a @ ( SV121 @ $false ) @ ( SV190 @ $false ) ) )
= $false )
| ( ( ord_le516598614nres_a @ SV121 @ SV190 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1533]) ).
thf(1600,plain,
! [SV190: $o > refine424419629nres_a,SV121: $o > refine424419629nres_a] :
( ( ( ~ ( ord_le519537037nres_a @ ( SV121 @ $true ) @ ( SV190 @ $true ) ) )
= $false )
| ( ( ord_le516598614nres_a @ SV121 @ SV190 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1533]) ).
thf(1601,plain,
! [SV190: $o > refine424419629nres_a,SV121: $o > refine424419629nres_a] :
( ( ( ~ ( ord_le516598614nres_a @ SV121 @ SV190 )
| ~ ~ ( ~ ( ord_le519537037nres_a @ ( SV121 @ $false ) @ ( SV190 @ $false ) )
| ~ ( ord_le519537037nres_a @ ( SV121 @ $true ) @ ( SV190 @ $true ) ) ) )
= $false )
| ( ( ord_le519537037nres_a @ ( SV121 @ $false ) @ ( SV190 @ $false ) )
= $false )
| ( ( ord_le519537037nres_a @ ( SV121 @ $true ) @ ( SV190 @ $true ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1534]) ).
thf(1602,plain,
! [SV163: refine432681134nres_b > refine424419629nres_a,SV68: refine432681134nres_b,SV191: refine424419629nres_a,SV124: refine432681134nres_b] :
( ( ( ~ ( ord_le527798542nres_b @ ( sK15_SY503 @ SV124 @ SV191 @ SV68 @ SV163 ) @ ( sK28_SY551 @ SV163 @ SV68 @ SV191 @ SV124 ) ) )
= $false )
| ( ( ord_le519537037nres_a @ ( SV163 @ SV68 ) @ SV191 )
= $true )
| ( ( ord_le519537037nres_a @ ( SV163 @ SV124 ) @ SV191 )
= $false )
| ( ( ord_le527798542nres_b @ SV68 @ SV124 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1535]) ).
thf(1603,plain,
! [SV68: refine432681134nres_b,SV191: refine424419629nres_a,SV124: refine432681134nres_b,SV163: refine432681134nres_b > refine424419629nres_a] :
( ( ( ord_le519537037nres_a @ ( SV163 @ ( sK15_SY503 @ SV124 @ SV191 @ SV68 @ SV163 ) ) @ ( SV163 @ ( sK28_SY551 @ SV163 @ SV68 @ SV191 @ SV124 ) ) )
= $false )
| ( ( ord_le519537037nres_a @ ( SV163 @ SV68 ) @ SV191 )
= $true )
| ( ( ord_le519537037nres_a @ ( SV163 @ SV124 ) @ SV191 )
= $false )
| ( ( ord_le527798542nres_b @ SV68 @ SV124 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1535]) ).
thf(1604,plain,
! [SV192: refine424419629nres_a,SV127: refine424419629nres_a] :
( ( ( ~ ( ord_le519537037nres_a @ SV127 @ SV192 ) )
= $false )
| ( ( SV127 = SV192 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1536]) ).
thf(1605,plain,
! [SV127: refine424419629nres_a,SV192: refine424419629nres_a] :
( ( ( ~ ( ord_le519537037nres_a @ SV192 @ SV127 ) )
= $false )
| ( ( SV127 = SV192 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1536]) ).
thf(1606,plain,
! [SV192: refine424419629nres_a,SV127: refine424419629nres_a] :
( ( ( ( SV127 != SV192 )
| ~ ~ ( ~ ( ord_le519537037nres_a @ SV127 @ SV192 )
| ~ ( ord_le519537037nres_a @ SV192 @ SV127 ) ) )
= $false )
| ( ( ord_le519537037nres_a @ SV127 @ SV192 )
= $false )
| ( ( ord_le519537037nres_a @ SV192 @ SV127 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1537]) ).
thf(1607,plain,
! [SV128: refine424419629nres_a > refine432681134nres_b,SV72: refine432681134nres_b,SV193: refine424419629nres_a,SV165: refine424419629nres_a] :
( ( ( ~ ( ord_le519537037nres_a @ ( sK16_SY446 @ SV165 @ SV193 @ SV72 @ SV128 ) @ ( sK29_SY552 @ SV128 @ SV72 @ SV193 @ SV165 ) ) )
= $false )
| ( ( ord_le527798542nres_b @ SV72 @ ( SV128 @ SV193 ) )
= $true )
| ( ( ord_le519537037nres_a @ SV165 @ SV193 )
= $false )
| ( ( SV72
= ( SV128 @ SV165 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1538]) ).
thf(1608,plain,
! [SV72: refine432681134nres_b,SV193: refine424419629nres_a,SV165: refine424419629nres_a,SV128: refine424419629nres_a > refine432681134nres_b] :
( ( ( ord_le527798542nres_b @ ( SV128 @ ( sK16_SY446 @ SV165 @ SV193 @ SV72 @ SV128 ) ) @ ( SV128 @ ( sK29_SY552 @ SV128 @ SV72 @ SV193 @ SV165 ) ) )
= $false )
| ( ( ord_le527798542nres_b @ SV72 @ ( SV128 @ SV193 ) )
= $true )
| ( ( ord_le519537037nres_a @ SV165 @ SV193 )
= $false )
| ( ( SV72
= ( SV128 @ SV165 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1538]) ).
thf(1609,plain,
! [SV194: refine424419629nres_a,SV129: refine424419629nres_a] :
( ( ( ~ ( ord_le519537037nres_a @ SV129 @ SV194 ) )
= $false )
| ( ( SV129 = SV194 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1539]) ).
thf(1610,plain,
! [SV129: refine424419629nres_a,SV194: refine424419629nres_a] :
( ( ( ~ ( ord_le519537037nres_a @ SV194 @ SV129 ) )
= $false )
| ( ( SV129 = SV194 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1539]) ).
thf(1611,plain,
! [SV194: refine424419629nres_a,SV129: refine424419629nres_a] :
( ( ( ( SV129 != SV194 )
| ~ ~ ( ~ ( ord_le519537037nres_a @ SV129 @ SV194 )
| ~ ( ord_le519537037nres_a @ SV194 @ SV129 ) ) )
= $false )
| ( ( ord_le519537037nres_a @ SV129 @ SV194 )
= $false )
| ( ( ord_le519537037nres_a @ SV194 @ SV129 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1540]) ).
thf(1612,plain,
! [SV168: refine424419629nres_a > refine424419629nres_a,SV76: refine424419629nres_a,SV195: refine424419629nres_a,SV131: refine424419629nres_a] :
( ( ( ~ ( ord_le519537037nres_a @ ( sK17_SY509 @ SV131 @ SV195 @ SV76 @ SV168 ) @ ( sK30_SY553 @ SV168 @ SV76 @ SV195 @ SV131 ) ) )
= $false )
| ( ( ord_le519537037nres_a @ ( SV168 @ SV76 ) @ SV195 )
= $true )
| ( ( ( SV168 @ SV131 )
= SV195 )
= $false )
| ( ( ord_le519537037nres_a @ SV76 @ SV131 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1541]) ).
thf(1613,plain,
! [SV76: refine424419629nres_a,SV195: refine424419629nres_a,SV131: refine424419629nres_a,SV168: refine424419629nres_a > refine424419629nres_a] :
( ( ( ord_le519537037nres_a @ ( SV168 @ ( sK17_SY509 @ SV131 @ SV195 @ SV76 @ SV168 ) ) @ ( SV168 @ ( sK30_SY553 @ SV168 @ SV76 @ SV195 @ SV131 ) ) )
= $false )
| ( ( ord_le519537037nres_a @ ( SV168 @ SV76 ) @ SV195 )
= $true )
| ( ( ( SV168 @ SV131 )
= SV195 )
= $false )
| ( ( ord_le519537037nres_a @ SV76 @ SV131 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1541]) ).
thf(1614,plain,
! [SV24: $o] :
( ( ( ~ SV24
| ~ $false )
= $false )
| ( SV24 = $false )
| ( SV24 = $false )
| ( SV24 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1545]) ).
thf(1615,plain,
! [SV24: $o] :
( ( ( ~ SV24
| ~ $false )
= $false )
| ( $false = $false )
| ( SV24 = $false )
| ( SV24 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1546]) ).
thf(1616,plain,
! [SV24: $o] :
( ( ( ~ SV24
| ~ $false )
= $false )
| ( SV24 = $false )
| ( SV24 = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1547]) ).
thf(1617,plain,
! [SV24: $o] :
( ( ( ~ SV24
| ~ $false )
= $false )
| ( $false = $false )
| ( SV24 = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1548]) ).
thf(1618,plain,
! [SV24: $o] :
( ( ( ~ SV24
| ~ $false )
= $false )
| ( SV24 = $false )
| ( $true = $false )
| ( SV24 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1549]) ).
thf(1619,plain,
! [SV24: $o] :
( ( ( ~ SV24
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( SV24 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1550]) ).
thf(1620,plain,
! [SV24: $o] :
( ( ( ~ SV24
| ~ $false )
= $false )
| ( SV24 = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1551]) ).
thf(1621,plain,
! [SV24: $o] :
( ( ( ~ SV24
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1552]) ).
thf(1622,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1553]) ).
thf(1623,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1554]) ).
thf(1624,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1555]) ).
thf(1625,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1556]) ).
thf(1626,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1557]) ).
thf(1627,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1558]) ).
thf(1628,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1559]) ).
thf(1629,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1560]) ).
thf(1630,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1561]) ).
thf(1631,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1562]) ).
thf(1632,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1563]) ).
thf(1633,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1564]) ).
thf(1634,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1565]) ).
thf(1635,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1566]) ).
thf(1636,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1567]) ).
thf(1637,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1568]) ).
thf(1638,plain,
! [SV134: refine424419629nres_a > refine424419629nres_a,SV29: refine424419629nres_a,SV171: refine424419629nres_a,SV88: refine424419629nres_a] :
( ( ( ord_le519537037nres_a @ ( sK6_SY458 @ SV88 @ SV171 @ SV29 @ SV134 ) @ ( sK18_SY542 @ SV134 @ SV29 @ SV171 @ SV88 ) )
= $true )
| ( ( ord_le519537037nres_a @ ( SV134 @ SV29 ) @ SV171 )
= $true )
| ( ( ord_le519537037nres_a @ ( SV134 @ SV88 ) @ SV171 )
= $false )
| ( ( ord_le519537037nres_a @ SV29 @ SV88 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1569]) ).
thf(1639,plain,
! [SV138: refine424419629nres_a > $o,SV92: refine424419629nres_a,SV33: refine424419629nres_a > $o] :
( ( ( ~ ( SV33 @ ( sK31_SY463 @ SV92 @ SV138 @ SV33 ) ) )
= $false )
| ( ( SV138 @ ( order_1714329108nres_a @ SV33 ) )
= $true )
| ( ( SV33 @ ( sK4_SY372 @ SV138 @ SV92 @ SV33 ) )
= $true )
| ( ( SV33 @ SV92 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1571]) ).
thf(1640,plain,
! [SV138: refine424419629nres_a > $o,SV92: refine424419629nres_a,SV33: refine424419629nres_a > $o] :
( ( ( ~ ! [SY555: refine424419629nres_a] :
( ~ ( SV33 @ SY555 )
| ( ord_le519537037nres_a @ SY555 @ ( sK31_SY463 @ SV92 @ SV138 @ SV33 ) ) )
| ( SV138 @ ( sK31_SY463 @ SV92 @ SV138 @ SV33 ) ) )
= $false )
| ( ( SV138 @ ( order_1714329108nres_a @ SV33 ) )
= $true )
| ( ( SV33 @ ( sK4_SY372 @ SV138 @ SV92 @ SV33 ) )
= $true )
| ( ( SV33 @ SV92 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1571]) ).
thf(1641,plain,
! [SV138: refine424419629nres_a > $o,SV92: refine424419629nres_a,SV33: refine424419629nres_a > $o] :
( ( ( SV33 @ ( sK19_SY463 @ SV92 @ SV138 @ SV33 ) )
= $true )
| ( ( SV138 @ ( order_1714329108nres_a @ SV33 ) )
= $true )
| ( ( ord_le519537037nres_a @ ( sK4_SY372 @ SV138 @ SV92 @ SV33 ) @ SV92 )
= $false )
| ( ( SV33 @ SV92 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1572]) ).
thf(1642,plain,
! [SV138: refine424419629nres_a > $o,SV92: refine424419629nres_a,SV33: refine424419629nres_a > $o] :
( ( ( ~ ! [SY554: refine424419629nres_a] :
( ~ ( SV33 @ SY554 )
| ( ord_le519537037nres_a @ SY554 @ ( sK19_SY463 @ SV92 @ SV138 @ SV33 ) ) ) )
= $false )
| ( ( SV138 @ ( order_1714329108nres_a @ SV33 ) )
= $true )
| ( ( ord_le519537037nres_a @ ( sK4_SY372 @ SV138 @ SV92 @ SV33 ) @ SV92 )
= $false )
| ( ( SV33 @ SV92 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1573]) ).
thf(1643,plain,
! [SV33: refine424419629nres_a > $o,SV92: refine424419629nres_a,SV138: refine424419629nres_a > $o] :
( ( ( SV138 @ ( sK19_SY463 @ SV92 @ SV138 @ SV33 ) )
= $false )
| ( ( SV138 @ ( order_1714329108nres_a @ SV33 ) )
= $true )
| ( ( ord_le519537037nres_a @ ( sK4_SY372 @ SV138 @ SV92 @ SV33 ) @ SV92 )
= $false )
| ( ( SV33 @ SV92 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1573]) ).
thf(1644,plain,
! [SV95: refine424419629nres_a,SV174: refine424419629nres_a] :
( ( ( ord_le519537037nres_a @ SV174 @ SV95 )
= $true )
| ( ( SV95 = SV174 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1574]) ).
thf(1645,plain,
! [SV174: refine424419629nres_a,SV95: refine424419629nres_a] :
( ( ( ord_le519537037nres_a @ SV95 @ SV174 )
= $true )
| ( ( SV95 = SV174 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1575]) ).
thf(1646,plain,
! [SV174: refine424419629nres_a,SV95: refine424419629nres_a] :
( ( ( SV95 != SV174 )
= $false )
| ( ( ord_le519537037nres_a @ SV174 @ SV95 )
= $false )
| ( ( ord_le519537037nres_a @ SV95 @ SV174 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1576]) ).
thf(1647,plain,
! [SV95: refine424419629nres_a,SV174: refine424419629nres_a] :
( ( ( ~ ~ ( ~ ( ord_le519537037nres_a @ SV174 @ SV95 )
| ~ ( ord_le519537037nres_a @ SV95 @ SV174 ) ) )
= $false )
| ( ( ord_le519537037nres_a @ SV174 @ SV95 )
= $false )
| ( ( ord_le519537037nres_a @ SV95 @ SV174 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1576]) ).
thf(1648,plain,
! [SV141: refine424419629nres_a > refine432681134nres_b,SV38: refine424419629nres_a,SV175: refine432681134nres_b,SV96: refine424419629nres_a] :
( ( ( ord_le519537037nres_a @ ( sK7_SY467 @ SV96 @ SV175 @ SV38 @ SV141 ) @ ( sK20_SY543 @ SV141 @ SV38 @ SV175 @ SV96 ) )
= $true )
| ( ( ord_le527798542nres_b @ ( SV141 @ SV38 ) @ SV175 )
= $true )
| ( ( ( SV141 @ SV96 )
= SV175 )
= $false )
| ( ( ord_le519537037nres_a @ SV38 @ SV96 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1577]) ).
thf(1649,plain,
! [SV143: refine424419629nres_a > refine432681134nres_b,SV41: refine424419629nres_a,SV176: refine432681134nres_b,SV98: refine424419629nres_a] :
( ( ( ord_le519537037nres_a @ ( sK8_SY470 @ SV98 @ SV176 @ SV41 @ SV143 ) @ ( sK21_SY544 @ SV143 @ SV41 @ SV176 @ SV98 ) )
= $true )
| ( ( ord_le527798542nres_b @ ( SV143 @ SV41 ) @ SV176 )
= $true )
| ( ( ord_le527798542nres_b @ ( SV143 @ SV98 ) @ SV176 )
= $false )
| ( ( ord_le519537037nres_a @ SV41 @ SV98 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1579]) ).
thf(1650,plain,
! [SV198: refine424419629nres_a,SV148: refine424419629nres_a,SV179: refine424419629nres_a,SV104: refine424419629nres_a,SV48: $o] :
( ( SV48 = $false )
| ( ( ord_le519537037nres_a @ ( if_Ref1724547303nres_a @ SV48 @ SV104 @ SV179 ) @ ( if_Ref1724547303nres_a @ SV48 @ SV148 @ SV198 ) )
= $true )
| ( SV48 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1581]) ).
thf(1651,plain,
! [SV199: refine424419629nres_a,SV149: refine424419629nres_a,SV180: refine424419629nres_a,SV105: refine424419629nres_a] :
( ( $true = $false )
| ( ( ord_le519537037nres_a @ ( if_Ref1724547303nres_a @ $true @ SV105 @ SV180 ) @ ( if_Ref1724547303nres_a @ $true @ SV149 @ SV199 ) )
= $true )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1583]) ).
thf(1652,plain,
! [SV200: refine424419629nres_a,SV150: refine424419629nres_a,SV181: refine424419629nres_a,SV106: refine424419629nres_a] :
( ( $false = $false )
| ( ( ord_le519537037nres_a @ ( if_Ref1724547303nres_a @ $false @ SV106 @ SV181 ) @ ( if_Ref1724547303nres_a @ $false @ SV150 @ SV200 ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[1585]) ).
thf(1653,plain,
! [SV107: refine424419629nres_a > refine424419629nres_a,SV49: refine424419629nres_a,SV182: refine424419629nres_a,SV151: refine424419629nres_a] :
( ( ( ord_le519537037nres_a @ ( sK9_SY406 @ SV151 @ SV182 @ SV49 @ SV107 ) @ ( sK22_SY545 @ SV107 @ SV49 @ SV182 @ SV151 ) )
= $true )
| ( ( ord_le519537037nres_a @ SV49 @ ( SV107 @ SV182 ) )
= $true )
| ( ( ord_le519537037nres_a @ SV151 @ SV182 )
= $false )
| ( ( SV49
= ( SV107 @ SV151 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1587]) ).
thf(1654,plain,
! [SV108: refine432681134nres_b > refine424419629nres_a,SV50: refine424419629nres_a,SV183: refine432681134nres_b,SV152: refine432681134nres_b] :
( ( ( ord_le527798542nres_b @ ( sK10_SY410 @ SV152 @ SV183 @ SV50 @ SV108 ) @ ( sK23_SY546 @ SV108 @ SV50 @ SV183 @ SV152 ) )
= $true )
| ( ( ord_le519537037nres_a @ SV50 @ ( SV108 @ SV183 ) )
= $true )
| ( ( ord_le527798542nres_b @ SV152 @ SV183 )
= $false )
| ( ( ord_le519537037nres_a @ SV50 @ ( SV108 @ SV152 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1589]) ).
thf(1655,plain,
! [SV154: refine432681134nres_b > refine424419629nres_a,SV52: refine432681134nres_b,SV184: refine424419629nres_a,SV110: refine432681134nres_b] :
( ( ( ord_le527798542nres_b @ ( sK11_SY488 @ SV110 @ SV184 @ SV52 @ SV154 ) @ ( sK24_SY547 @ SV154 @ SV52 @ SV184 @ SV110 ) )
= $true )
| ( ( ord_le519537037nres_a @ ( SV154 @ SV52 ) @ SV184 )
= $true )
| ( ( ( SV154 @ SV110 )
= SV184 )
= $false )
| ( ( ord_le527798542nres_b @ SV52 @ SV110 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1591]) ).
thf(1656,plain,
! [SV111: refine424419629nres_a > refine432681134nres_b,SV54: refine432681134nres_b,SV185: refine424419629nres_a,SV155: refine424419629nres_a] :
( ( ( ord_le519537037nres_a @ ( sK12_SY419 @ SV155 @ SV185 @ SV54 @ SV111 ) @ ( sK25_SY548 @ SV111 @ SV54 @ SV185 @ SV155 ) )
= $true )
| ( ( ord_le527798542nres_b @ SV54 @ ( SV111 @ SV185 ) )
= $true )
| ( ( ord_le519537037nres_a @ SV155 @ SV185 )
= $false )
| ( ( ord_le527798542nres_b @ SV54 @ ( SV111 @ SV155 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1593]) ).
thf(1657,plain,
! [SV114: refine432681134nres_b > refine424419629nres_a,SV58: refine424419629nres_a,SV186: refine432681134nres_b,SV157: refine432681134nres_b] :
( ( ( ord_le527798542nres_b @ ( sK13_SY425 @ SV157 @ SV186 @ SV58 @ SV114 ) @ ( sK26_SY549 @ SV114 @ SV58 @ SV186 @ SV157 ) )
= $true )
| ( ( ord_le519537037nres_a @ SV58 @ ( SV114 @ SV186 ) )
= $true )
| ( ( ord_le527798542nres_b @ SV157 @ SV186 )
= $false )
| ( ( SV58
= ( SV114 @ SV157 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1595]) ).
thf(1658,plain,
! [SV119: refine424419629nres_a > refine424419629nres_a,SV63: refine424419629nres_a,SV189: refine424419629nres_a,SV160: refine424419629nres_a] :
( ( ( ord_le519537037nres_a @ ( sK14_SY434 @ SV160 @ SV189 @ SV63 @ SV119 ) @ ( sK27_SY550 @ SV119 @ SV63 @ SV189 @ SV160 ) )
= $true )
| ( ( ord_le519537037nres_a @ SV63 @ ( SV119 @ SV189 ) )
= $true )
| ( ( ord_le519537037nres_a @ SV160 @ SV189 )
= $false )
| ( ( ord_le519537037nres_a @ SV63 @ ( SV119 @ SV160 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1597]) ).
thf(1659,plain,
! [SV190: $o > refine424419629nres_a,SV121: $o > refine424419629nres_a] :
( ( ( ord_le519537037nres_a @ ( SV121 @ $false ) @ ( SV190 @ $false ) )
= $true )
| ( ( ord_le516598614nres_a @ SV121 @ SV190 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1599]) ).
thf(1660,plain,
! [SV190: $o > refine424419629nres_a,SV121: $o > refine424419629nres_a] :
( ( ( ord_le519537037nres_a @ ( SV121 @ $true ) @ ( SV190 @ $true ) )
= $true )
| ( ( ord_le516598614nres_a @ SV121 @ SV190 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1600]) ).
thf(1661,plain,
! [SV190: $o > refine424419629nres_a,SV121: $o > refine424419629nres_a] :
( ( ( ~ ( ord_le516598614nres_a @ SV121 @ SV190 ) )
= $false )
| ( ( ord_le519537037nres_a @ ( SV121 @ $false ) @ ( SV190 @ $false ) )
= $false )
| ( ( ord_le519537037nres_a @ ( SV121 @ $true ) @ ( SV190 @ $true ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1601]) ).
thf(1662,plain,
! [SV190: $o > refine424419629nres_a,SV121: $o > refine424419629nres_a] :
( ( ( ~ ~ ( ~ ( ord_le519537037nres_a @ ( SV121 @ $false ) @ ( SV190 @ $false ) )
| ~ ( ord_le519537037nres_a @ ( SV121 @ $true ) @ ( SV190 @ $true ) ) ) )
= $false )
| ( ( ord_le519537037nres_a @ ( SV121 @ $false ) @ ( SV190 @ $false ) )
= $false )
| ( ( ord_le519537037nres_a @ ( SV121 @ $true ) @ ( SV190 @ $true ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1601]) ).
thf(1663,plain,
! [SV163: refine432681134nres_b > refine424419629nres_a,SV68: refine432681134nres_b,SV191: refine424419629nres_a,SV124: refine432681134nres_b] :
( ( ( ord_le527798542nres_b @ ( sK15_SY503 @ SV124 @ SV191 @ SV68 @ SV163 ) @ ( sK28_SY551 @ SV163 @ SV68 @ SV191 @ SV124 ) )
= $true )
| ( ( ord_le519537037nres_a @ ( SV163 @ SV68 ) @ SV191 )
= $true )
| ( ( ord_le519537037nres_a @ ( SV163 @ SV124 ) @ SV191 )
= $false )
| ( ( ord_le527798542nres_b @ SV68 @ SV124 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1602]) ).
thf(1664,plain,
! [SV192: refine424419629nres_a,SV127: refine424419629nres_a] :
( ( ( ord_le519537037nres_a @ SV127 @ SV192 )
= $true )
| ( ( SV127 = SV192 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1604]) ).
thf(1665,plain,
! [SV127: refine424419629nres_a,SV192: refine424419629nres_a] :
( ( ( ord_le519537037nres_a @ SV192 @ SV127 )
= $true )
| ( ( SV127 = SV192 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1605]) ).
thf(1666,plain,
! [SV192: refine424419629nres_a,SV127: refine424419629nres_a] :
( ( ( SV127 != SV192 )
= $false )
| ( ( ord_le519537037nres_a @ SV127 @ SV192 )
= $false )
| ( ( ord_le519537037nres_a @ SV192 @ SV127 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1606]) ).
thf(1667,plain,
! [SV192: refine424419629nres_a,SV127: refine424419629nres_a] :
( ( ( ~ ~ ( ~ ( ord_le519537037nres_a @ SV127 @ SV192 )
| ~ ( ord_le519537037nres_a @ SV192 @ SV127 ) ) )
= $false )
| ( ( ord_le519537037nres_a @ SV127 @ SV192 )
= $false )
| ( ( ord_le519537037nres_a @ SV192 @ SV127 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1606]) ).
thf(1668,plain,
! [SV128: refine424419629nres_a > refine432681134nres_b,SV72: refine432681134nres_b,SV193: refine424419629nres_a,SV165: refine424419629nres_a] :
( ( ( ord_le519537037nres_a @ ( sK16_SY446 @ SV165 @ SV193 @ SV72 @ SV128 ) @ ( sK29_SY552 @ SV128 @ SV72 @ SV193 @ SV165 ) )
= $true )
| ( ( ord_le527798542nres_b @ SV72 @ ( SV128 @ SV193 ) )
= $true )
| ( ( ord_le519537037nres_a @ SV165 @ SV193 )
= $false )
| ( ( SV72
= ( SV128 @ SV165 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1607]) ).
thf(1669,plain,
! [SV194: refine424419629nres_a,SV129: refine424419629nres_a] :
( ( ( ord_le519537037nres_a @ SV129 @ SV194 )
= $true )
| ( ( SV129 = SV194 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1609]) ).
thf(1670,plain,
! [SV129: refine424419629nres_a,SV194: refine424419629nres_a] :
( ( ( ord_le519537037nres_a @ SV194 @ SV129 )
= $true )
| ( ( SV129 = SV194 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1610]) ).
thf(1671,plain,
! [SV194: refine424419629nres_a,SV129: refine424419629nres_a] :
( ( ( SV129 != SV194 )
= $false )
| ( ( ord_le519537037nres_a @ SV129 @ SV194 )
= $false )
| ( ( ord_le519537037nres_a @ SV194 @ SV129 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1611]) ).
thf(1672,plain,
! [SV194: refine424419629nres_a,SV129: refine424419629nres_a] :
( ( ( ~ ~ ( ~ ( ord_le519537037nres_a @ SV129 @ SV194 )
| ~ ( ord_le519537037nres_a @ SV194 @ SV129 ) ) )
= $false )
| ( ( ord_le519537037nres_a @ SV129 @ SV194 )
= $false )
| ( ( ord_le519537037nres_a @ SV194 @ SV129 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1611]) ).
thf(1673,plain,
! [SV168: refine424419629nres_a > refine424419629nres_a,SV76: refine424419629nres_a,SV195: refine424419629nres_a,SV131: refine424419629nres_a] :
( ( ( ord_le519537037nres_a @ ( sK17_SY509 @ SV131 @ SV195 @ SV76 @ SV168 ) @ ( sK30_SY553 @ SV168 @ SV76 @ SV195 @ SV131 ) )
= $true )
| ( ( ord_le519537037nres_a @ ( SV168 @ SV76 ) @ SV195 )
= $true )
| ( ( ( SV168 @ SV131 )
= SV195 )
= $false )
| ( ( ord_le519537037nres_a @ SV76 @ SV131 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1612]) ).
thf(1674,plain,
! [SV24: $o] :
( ( ( ~ SV24 ) = $false )
| ( SV24 = $false )
| ( SV24 = $false )
| ( SV24 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1614]) ).
thf(1675,plain,
! [SV24: $o] :
( ( ( ~ $false ) = $false )
| ( SV24 = $false )
| ( SV24 = $false )
| ( SV24 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1614]) ).
thf(1676,plain,
! [SV24: $o] :
( ( ( ~ SV24 ) = $false )
| ( $false = $false )
| ( SV24 = $false )
| ( SV24 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1615]) ).
thf(1677,plain,
! [SV24: $o] :
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( SV24 = $false )
| ( SV24 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1615]) ).
thf(1678,plain,
! [SV24: $o] :
( ( ( ~ SV24 ) = $false )
| ( SV24 = $false )
| ( SV24 = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1616]) ).
thf(1679,plain,
! [SV24: $o] :
( ( ( ~ $false ) = $false )
| ( SV24 = $false )
| ( SV24 = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1616]) ).
thf(1680,plain,
! [SV24: $o] :
( ( ( ~ SV24 ) = $false )
| ( $false = $false )
| ( SV24 = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1617]) ).
thf(1681,plain,
! [SV24: $o] :
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( SV24 = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1617]) ).
thf(1682,plain,
! [SV24: $o] :
( ( ( ~ SV24 ) = $false )
| ( SV24 = $false )
| ( $true = $false )
| ( SV24 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1618]) ).
thf(1683,plain,
! [SV24: $o] :
( ( ( ~ $false ) = $false )
| ( SV24 = $false )
| ( $true = $false )
| ( SV24 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1618]) ).
thf(1684,plain,
! [SV24: $o] :
( ( ( ~ SV24 ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( SV24 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1619]) ).
thf(1685,plain,
! [SV24: $o] :
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( SV24 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1619]) ).
thf(1686,plain,
! [SV24: $o] :
( ( ( ~ SV24 ) = $false )
| ( SV24 = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1620]) ).
thf(1687,plain,
! [SV24: $o] :
( ( ( ~ $false ) = $false )
| ( SV24 = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1620]) ).
thf(1688,plain,
! [SV24: $o] :
( ( ( ~ SV24 ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1621]) ).
thf(1689,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1621]) ).
thf(1690,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1622]) ).
thf(1691,plain,
( ( ( ~ $false ) = $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1622]) ).
thf(1692,plain,
( ( ( ~ $true ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1623]) ).
thf(1693,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1623]) ).
thf(1694,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1624]) ).
thf(1695,plain,
( ( ( ~ $false ) = $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1624]) ).
thf(1696,plain,
( ( ( ~ $true ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1625]) ).
thf(1697,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1625]) ).
thf(1698,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1626]) ).
thf(1699,plain,
( ( ( ~ $false ) = $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1626]) ).
thf(1700,plain,
( ( ( ~ $true ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1627]) ).
thf(1701,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1627]) ).
thf(1702,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1628]) ).
thf(1703,plain,
( ( ( ~ $false ) = $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1628]) ).
thf(1704,plain,
( ( ( ~ $true ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1629]) ).
thf(1705,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1629]) ).
thf(1706,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1630]) ).
thf(1707,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1630]) ).
thf(1708,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1631]) ).
thf(1709,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1631]) ).
thf(1710,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1632]) ).
thf(1711,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1632]) ).
thf(1712,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1633]) ).
thf(1713,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1633]) ).
thf(1714,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1634]) ).
thf(1715,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1634]) ).
thf(1716,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1635]) ).
thf(1717,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1635]) ).
thf(1718,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1636]) ).
thf(1719,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1636]) ).
thf(1720,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1637]) ).
thf(1721,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[1637]) ).
thf(1722,plain,
! [SV138: refine424419629nres_a > $o,SV92: refine424419629nres_a,SV33: refine424419629nres_a > $o] :
( ( ( SV33 @ ( sK31_SY463 @ SV92 @ SV138 @ SV33 ) )
= $true )
| ( ( SV138 @ ( order_1714329108nres_a @ SV33 ) )
= $true )
| ( ( SV33 @ ( sK4_SY372 @ SV138 @ SV92 @ SV33 ) )
= $true )
| ( ( SV33 @ SV92 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1639]) ).
thf(1723,plain,
! [SV138: refine424419629nres_a > $o,SV92: refine424419629nres_a,SV33: refine424419629nres_a > $o] :
( ( ( ~ ! [SY555: refine424419629nres_a] :
( ~ ( SV33 @ SY555 )
| ( ord_le519537037nres_a @ SY555 @ ( sK31_SY463 @ SV92 @ SV138 @ SV33 ) ) ) )
= $false )
| ( ( SV138 @ ( order_1714329108nres_a @ SV33 ) )
= $true )
| ( ( SV33 @ ( sK4_SY372 @ SV138 @ SV92 @ SV33 ) )
= $true )
| ( ( SV33 @ SV92 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1640]) ).
thf(1724,plain,
! [SV33: refine424419629nres_a > $o,SV92: refine424419629nres_a,SV138: refine424419629nres_a > $o] :
( ( ( SV138 @ ( sK31_SY463 @ SV92 @ SV138 @ SV33 ) )
= $false )
| ( ( SV138 @ ( order_1714329108nres_a @ SV33 ) )
= $true )
| ( ( SV33 @ ( sK4_SY372 @ SV138 @ SV92 @ SV33 ) )
= $true )
| ( ( SV33 @ SV92 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1640]) ).
thf(1725,plain,
! [SV138: refine424419629nres_a > $o,SV92: refine424419629nres_a,SV33: refine424419629nres_a > $o] :
( ( ( ! [SY554: refine424419629nres_a] :
( ~ ( SV33 @ SY554 )
| ( ord_le519537037nres_a @ SY554 @ ( sK19_SY463 @ SV92 @ SV138 @ SV33 ) ) ) )
= $true )
| ( ( SV138 @ ( order_1714329108nres_a @ SV33 ) )
= $true )
| ( ( ord_le519537037nres_a @ ( sK4_SY372 @ SV138 @ SV92 @ SV33 ) @ SV92 )
= $false )
| ( ( SV33 @ SV92 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1642]) ).
thf(1726,plain,
! [SV174: refine424419629nres_a,SV95: refine424419629nres_a] :
( ( ( SV95 = SV174 )
= $true )
| ( ( ord_le519537037nres_a @ SV174 @ SV95 )
= $false )
| ( ( ord_le519537037nres_a @ SV95 @ SV174 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1646]) ).
thf(1727,plain,
! [SV95: refine424419629nres_a,SV174: refine424419629nres_a] :
( ( ( ~ ( ~ ( ord_le519537037nres_a @ SV174 @ SV95 )
| ~ ( ord_le519537037nres_a @ SV95 @ SV174 ) ) )
= $true )
| ( ( ord_le519537037nres_a @ SV174 @ SV95 )
= $false )
| ( ( ord_le519537037nres_a @ SV95 @ SV174 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1647]) ).
thf(1728,plain,
! [SV190: $o > refine424419629nres_a,SV121: $o > refine424419629nres_a] :
( ( ( ord_le516598614nres_a @ SV121 @ SV190 )
= $true )
| ( ( ord_le519537037nres_a @ ( SV121 @ $false ) @ ( SV190 @ $false ) )
= $false )
| ( ( ord_le519537037nres_a @ ( SV121 @ $true ) @ ( SV190 @ $true ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1661]) ).
thf(1729,plain,
! [SV190: $o > refine424419629nres_a,SV121: $o > refine424419629nres_a] :
( ( ( ~ ( ~ ( ord_le519537037nres_a @ ( SV121 @ $false ) @ ( SV190 @ $false ) )
| ~ ( ord_le519537037nres_a @ ( SV121 @ $true ) @ ( SV190 @ $true ) ) ) )
= $true )
| ( ( ord_le519537037nres_a @ ( SV121 @ $false ) @ ( SV190 @ $false ) )
= $false )
| ( ( ord_le519537037nres_a @ ( SV121 @ $true ) @ ( SV190 @ $true ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1662]) ).
thf(1730,plain,
! [SV192: refine424419629nres_a,SV127: refine424419629nres_a] :
( ( ( SV127 = SV192 )
= $true )
| ( ( ord_le519537037nres_a @ SV127 @ SV192 )
= $false )
| ( ( ord_le519537037nres_a @ SV192 @ SV127 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1666]) ).
thf(1731,plain,
! [SV192: refine424419629nres_a,SV127: refine424419629nres_a] :
( ( ( ~ ( ~ ( ord_le519537037nres_a @ SV127 @ SV192 )
| ~ ( ord_le519537037nres_a @ SV192 @ SV127 ) ) )
= $true )
| ( ( ord_le519537037nres_a @ SV127 @ SV192 )
= $false )
| ( ( ord_le519537037nres_a @ SV192 @ SV127 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1667]) ).
thf(1732,plain,
! [SV194: refine424419629nres_a,SV129: refine424419629nres_a] :
( ( ( SV129 = SV194 )
= $true )
| ( ( ord_le519537037nres_a @ SV129 @ SV194 )
= $false )
| ( ( ord_le519537037nres_a @ SV194 @ SV129 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1671]) ).
thf(1733,plain,
! [SV194: refine424419629nres_a,SV129: refine424419629nres_a] :
( ( ( ~ ( ~ ( ord_le519537037nres_a @ SV129 @ SV194 )
| ~ ( ord_le519537037nres_a @ SV194 @ SV129 ) ) )
= $true )
| ( ( ord_le519537037nres_a @ SV129 @ SV194 )
= $false )
| ( ( ord_le519537037nres_a @ SV194 @ SV129 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1672]) ).
thf(1734,plain,
! [SV24: $o] :
( ( SV24 = $true )
| ( SV24 = $false )
| ( SV24 = $false )
| ( SV24 = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1674]) ).
thf(1735,plain,
! [SV24: $o] :
( ( $false = $true )
| ( SV24 = $false )
| ( SV24 = $false )
| ( SV24 = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1675]) ).
thf(1736,plain,
! [SV24: $o] :
( ( SV24 = $true )
| ( $false = $false )
| ( SV24 = $false )
| ( SV24 = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1676]) ).
thf(1737,plain,
! [SV24: $o] :
( ( $false = $true )
| ( $false = $false )
| ( SV24 = $false )
| ( SV24 = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1677]) ).
thf(1738,plain,
! [SV24: $o] :
( ( SV24 = $true )
| ( SV24 = $false )
| ( SV24 = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1678]) ).
thf(1739,plain,
! [SV24: $o] :
( ( $false = $true )
| ( SV24 = $false )
| ( SV24 = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1679]) ).
thf(1740,plain,
! [SV24: $o] :
( ( SV24 = $true )
| ( $false = $false )
| ( SV24 = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1680]) ).
thf(1741,plain,
! [SV24: $o] :
( ( $false = $true )
| ( $false = $false )
| ( SV24 = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1681]) ).
thf(1742,plain,
! [SV24: $o] :
( ( SV24 = $true )
| ( SV24 = $false )
| ( $true = $false )
| ( SV24 = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1682]) ).
thf(1743,plain,
! [SV24: $o] :
( ( $false = $true )
| ( SV24 = $false )
| ( $true = $false )
| ( SV24 = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1683]) ).
thf(1744,plain,
! [SV24: $o] :
( ( SV24 = $true )
| ( $false = $false )
| ( $true = $false )
| ( SV24 = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1684]) ).
thf(1745,plain,
! [SV24: $o] :
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( SV24 = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1685]) ).
thf(1746,plain,
! [SV24: $o] :
( ( SV24 = $true )
| ( SV24 = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1686]) ).
thf(1747,plain,
! [SV24: $o] :
( ( $false = $true )
| ( SV24 = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1687]) ).
thf(1748,plain,
! [SV24: $o] :
( ( SV24 = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1688]) ).
thf(1749,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1689]) ).
thf(1750,plain,
( ( $true = $true )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1690]) ).
thf(1751,plain,
( ( $false = $true )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1691]) ).
thf(1752,plain,
( ( $true = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1692]) ).
thf(1753,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1693]) ).
thf(1754,plain,
( ( $true = $true )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1694]) ).
thf(1755,plain,
( ( $false = $true )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1695]) ).
thf(1756,plain,
( ( $true = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1696]) ).
thf(1757,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1697]) ).
thf(1758,plain,
( ( $true = $true )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1698]) ).
thf(1759,plain,
( ( $false = $true )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1699]) ).
thf(1760,plain,
( ( $true = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1700]) ).
thf(1761,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1701]) ).
thf(1762,plain,
( ( $true = $true )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1702]) ).
thf(1763,plain,
( ( $false = $true )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1703]) ).
thf(1764,plain,
( ( $true = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1704]) ).
thf(1765,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1705]) ).
thf(1766,plain,
( ( $false = $true )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1706]) ).
thf(1767,plain,
( ( $false = $true )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1707]) ).
thf(1768,plain,
( ( $false = $true )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1708]) ).
thf(1769,plain,
( ( $false = $true )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1709]) ).
thf(1770,plain,
( ( $false = $true )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1710]) ).
thf(1771,plain,
( ( $false = $true )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1711]) ).
thf(1772,plain,
( ( $false = $true )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1712]) ).
thf(1773,plain,
( ( $false = $true )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1713]) ).
thf(1774,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1714]) ).
thf(1775,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1715]) ).
thf(1776,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1716]) ).
thf(1777,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1717]) ).
thf(1778,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1718]) ).
thf(1779,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1719]) ).
thf(1780,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1720]) ).
thf(1781,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[1721]) ).
thf(1782,plain,
! [SV138: refine424419629nres_a > $o,SV92: refine424419629nres_a,SV33: refine424419629nres_a > $o] :
( ( ( ! [SY555: refine424419629nres_a] :
( ~ ( SV33 @ SY555 )
| ( ord_le519537037nres_a @ SY555 @ ( sK31_SY463 @ SV92 @ SV138 @ SV33 ) ) ) )
= $true )
| ( ( SV138 @ ( order_1714329108nres_a @ SV33 ) )
= $true )
| ( ( SV33 @ ( sK4_SY372 @ SV138 @ SV92 @ SV33 ) )
= $true )
| ( ( SV33 @ SV92 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1723]) ).
thf(1783,plain,
! [SV138: refine424419629nres_a > $o,SV92: refine424419629nres_a,SV204: refine424419629nres_a,SV33: refine424419629nres_a > $o] :
( ( ( ~ ( SV33 @ SV204 )
| ( ord_le519537037nres_a @ SV204 @ ( sK19_SY463 @ SV92 @ SV138 @ SV33 ) ) )
= $true )
| ( ( SV138 @ ( order_1714329108nres_a @ SV33 ) )
= $true )
| ( ( ord_le519537037nres_a @ ( sK4_SY372 @ SV138 @ SV92 @ SV33 ) @ SV92 )
= $false )
| ( ( SV33 @ SV92 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1725]) ).
thf(1784,plain,
! [SV95: refine424419629nres_a,SV174: refine424419629nres_a] :
( ( ( ~ ( ord_le519537037nres_a @ SV174 @ SV95 )
| ~ ( ord_le519537037nres_a @ SV95 @ SV174 ) )
= $false )
| ( ( ord_le519537037nres_a @ SV174 @ SV95 )
= $false )
| ( ( ord_le519537037nres_a @ SV95 @ SV174 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1727]) ).
thf(1785,plain,
! [SV190: $o > refine424419629nres_a,SV121: $o > refine424419629nres_a] :
( ( ( ~ ( ord_le519537037nres_a @ ( SV121 @ $false ) @ ( SV190 @ $false ) )
| ~ ( ord_le519537037nres_a @ ( SV121 @ $true ) @ ( SV190 @ $true ) ) )
= $false )
| ( ( ord_le519537037nres_a @ ( SV121 @ $false ) @ ( SV190 @ $false ) )
= $false )
| ( ( ord_le519537037nres_a @ ( SV121 @ $true ) @ ( SV190 @ $true ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1729]) ).
thf(1786,plain,
! [SV192: refine424419629nres_a,SV127: refine424419629nres_a] :
( ( ( ~ ( ord_le519537037nres_a @ SV127 @ SV192 )
| ~ ( ord_le519537037nres_a @ SV192 @ SV127 ) )
= $false )
| ( ( ord_le519537037nres_a @ SV127 @ SV192 )
= $false )
| ( ( ord_le519537037nres_a @ SV192 @ SV127 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1731]) ).
thf(1787,plain,
! [SV194: refine424419629nres_a,SV129: refine424419629nres_a] :
( ( ( ~ ( ord_le519537037nres_a @ SV129 @ SV194 )
| ~ ( ord_le519537037nres_a @ SV194 @ SV129 ) )
= $false )
| ( ( ord_le519537037nres_a @ SV129 @ SV194 )
= $false )
| ( ( ord_le519537037nres_a @ SV194 @ SV129 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1733]) ).
thf(1788,plain,
! [SV138: refine424419629nres_a > $o,SV92: refine424419629nres_a,SV205: refine424419629nres_a,SV33: refine424419629nres_a > $o] :
( ( ( ~ ( SV33 @ SV205 )
| ( ord_le519537037nres_a @ SV205 @ ( sK31_SY463 @ SV92 @ SV138 @ SV33 ) ) )
= $true )
| ( ( SV138 @ ( order_1714329108nres_a @ SV33 ) )
= $true )
| ( ( SV33 @ ( sK4_SY372 @ SV138 @ SV92 @ SV33 ) )
= $true )
| ( ( SV33 @ SV92 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1782]) ).
thf(1789,plain,
! [SV138: refine424419629nres_a > $o,SV92: refine424419629nres_a,SV204: refine424419629nres_a,SV33: refine424419629nres_a > $o] :
( ( ( ~ ( SV33 @ SV204 ) )
= $true )
| ( ( ord_le519537037nres_a @ SV204 @ ( sK19_SY463 @ SV92 @ SV138 @ SV33 ) )
= $true )
| ( ( SV138 @ ( order_1714329108nres_a @ SV33 ) )
= $true )
| ( ( ord_le519537037nres_a @ ( sK4_SY372 @ SV138 @ SV92 @ SV33 ) @ SV92 )
= $false )
| ( ( SV33 @ SV92 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1783]) ).
thf(1790,plain,
! [SV95: refine424419629nres_a,SV174: refine424419629nres_a] :
( ( ( ~ ( ord_le519537037nres_a @ SV174 @ SV95 ) )
= $false )
| ( ( ord_le519537037nres_a @ SV174 @ SV95 )
= $false )
| ( ( ord_le519537037nres_a @ SV95 @ SV174 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1784]) ).
thf(1791,plain,
! [SV174: refine424419629nres_a,SV95: refine424419629nres_a] :
( ( ( ~ ( ord_le519537037nres_a @ SV95 @ SV174 ) )
= $false )
| ( ( ord_le519537037nres_a @ SV174 @ SV95 )
= $false )
| ( ( ord_le519537037nres_a @ SV95 @ SV174 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1784]) ).
thf(1792,plain,
! [SV190: $o > refine424419629nres_a,SV121: $o > refine424419629nres_a] :
( ( ( ~ ( ord_le519537037nres_a @ ( SV121 @ $false ) @ ( SV190 @ $false ) ) )
= $false )
| ( ( ord_le519537037nres_a @ ( SV121 @ $false ) @ ( SV190 @ $false ) )
= $false )
| ( ( ord_le519537037nres_a @ ( SV121 @ $true ) @ ( SV190 @ $true ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1785]) ).
thf(1793,plain,
! [SV190: $o > refine424419629nres_a,SV121: $o > refine424419629nres_a] :
( ( ( ~ ( ord_le519537037nres_a @ ( SV121 @ $true ) @ ( SV190 @ $true ) ) )
= $false )
| ( ( ord_le519537037nres_a @ ( SV121 @ $false ) @ ( SV190 @ $false ) )
= $false )
| ( ( ord_le519537037nres_a @ ( SV121 @ $true ) @ ( SV190 @ $true ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1785]) ).
thf(1794,plain,
! [SV192: refine424419629nres_a,SV127: refine424419629nres_a] :
( ( ( ~ ( ord_le519537037nres_a @ SV127 @ SV192 ) )
= $false )
| ( ( ord_le519537037nres_a @ SV127 @ SV192 )
= $false )
| ( ( ord_le519537037nres_a @ SV192 @ SV127 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1786]) ).
thf(1795,plain,
! [SV127: refine424419629nres_a,SV192: refine424419629nres_a] :
( ( ( ~ ( ord_le519537037nres_a @ SV192 @ SV127 ) )
= $false )
| ( ( ord_le519537037nres_a @ SV127 @ SV192 )
= $false )
| ( ( ord_le519537037nres_a @ SV192 @ SV127 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1786]) ).
thf(1796,plain,
! [SV194: refine424419629nres_a,SV129: refine424419629nres_a] :
( ( ( ~ ( ord_le519537037nres_a @ SV129 @ SV194 ) )
= $false )
| ( ( ord_le519537037nres_a @ SV129 @ SV194 )
= $false )
| ( ( ord_le519537037nres_a @ SV194 @ SV129 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1787]) ).
thf(1797,plain,
! [SV129: refine424419629nres_a,SV194: refine424419629nres_a] :
( ( ( ~ ( ord_le519537037nres_a @ SV194 @ SV129 ) )
= $false )
| ( ( ord_le519537037nres_a @ SV129 @ SV194 )
= $false )
| ( ( ord_le519537037nres_a @ SV194 @ SV129 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1787]) ).
thf(1798,plain,
! [SV138: refine424419629nres_a > $o,SV92: refine424419629nres_a,SV205: refine424419629nres_a,SV33: refine424419629nres_a > $o] :
( ( ( ~ ( SV33 @ SV205 ) )
= $true )
| ( ( ord_le519537037nres_a @ SV205 @ ( sK31_SY463 @ SV92 @ SV138 @ SV33 ) )
= $true )
| ( ( SV138 @ ( order_1714329108nres_a @ SV33 ) )
= $true )
| ( ( SV33 @ ( sK4_SY372 @ SV138 @ SV92 @ SV33 ) )
= $true )
| ( ( SV33 @ SV92 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1788]) ).
thf(1799,plain,
! [SV138: refine424419629nres_a > $o,SV92: refine424419629nres_a,SV204: refine424419629nres_a,SV33: refine424419629nres_a > $o] :
( ( ( SV33 @ SV204 )
= $false )
| ( ( ord_le519537037nres_a @ SV204 @ ( sK19_SY463 @ SV92 @ SV138 @ SV33 ) )
= $true )
| ( ( SV138 @ ( order_1714329108nres_a @ SV33 ) )
= $true )
| ( ( ord_le519537037nres_a @ ( sK4_SY372 @ SV138 @ SV92 @ SV33 ) @ SV92 )
= $false )
| ( ( SV33 @ SV92 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1789]) ).
thf(1800,plain,
! [SV95: refine424419629nres_a,SV174: refine424419629nres_a] :
( ( ( ord_le519537037nres_a @ SV174 @ SV95 )
= $true )
| ( ( ord_le519537037nres_a @ SV174 @ SV95 )
= $false )
| ( ( ord_le519537037nres_a @ SV95 @ SV174 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1790]) ).
thf(1801,plain,
! [SV174: refine424419629nres_a,SV95: refine424419629nres_a] :
( ( ( ord_le519537037nres_a @ SV95 @ SV174 )
= $true )
| ( ( ord_le519537037nres_a @ SV174 @ SV95 )
= $false )
| ( ( ord_le519537037nres_a @ SV95 @ SV174 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1791]) ).
thf(1802,plain,
! [SV190: $o > refine424419629nres_a,SV121: $o > refine424419629nres_a] :
( ( ( ord_le519537037nres_a @ ( SV121 @ $false ) @ ( SV190 @ $false ) )
= $true )
| ( ( ord_le519537037nres_a @ ( SV121 @ $false ) @ ( SV190 @ $false ) )
= $false )
| ( ( ord_le519537037nres_a @ ( SV121 @ $true ) @ ( SV190 @ $true ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1792]) ).
thf(1803,plain,
! [SV190: $o > refine424419629nres_a,SV121: $o > refine424419629nres_a] :
( ( ( ord_le519537037nres_a @ ( SV121 @ $true ) @ ( SV190 @ $true ) )
= $true )
| ( ( ord_le519537037nres_a @ ( SV121 @ $false ) @ ( SV190 @ $false ) )
= $false )
| ( ( ord_le519537037nres_a @ ( SV121 @ $true ) @ ( SV190 @ $true ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1793]) ).
thf(1804,plain,
! [SV192: refine424419629nres_a,SV127: refine424419629nres_a] :
( ( ( ord_le519537037nres_a @ SV127 @ SV192 )
= $true )
| ( ( ord_le519537037nres_a @ SV127 @ SV192 )
= $false )
| ( ( ord_le519537037nres_a @ SV192 @ SV127 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1794]) ).
thf(1805,plain,
! [SV127: refine424419629nres_a,SV192: refine424419629nres_a] :
( ( ( ord_le519537037nres_a @ SV192 @ SV127 )
= $true )
| ( ( ord_le519537037nres_a @ SV127 @ SV192 )
= $false )
| ( ( ord_le519537037nres_a @ SV192 @ SV127 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1795]) ).
thf(1806,plain,
! [SV194: refine424419629nres_a,SV129: refine424419629nres_a] :
( ( ( ord_le519537037nres_a @ SV129 @ SV194 )
= $true )
| ( ( ord_le519537037nres_a @ SV129 @ SV194 )
= $false )
| ( ( ord_le519537037nres_a @ SV194 @ SV129 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1796]) ).
thf(1807,plain,
! [SV129: refine424419629nres_a,SV194: refine424419629nres_a] :
( ( ( ord_le519537037nres_a @ SV194 @ SV129 )
= $true )
| ( ( ord_le519537037nres_a @ SV129 @ SV194 )
= $false )
| ( ( ord_le519537037nres_a @ SV194 @ SV129 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1797]) ).
thf(1808,plain,
! [SV138: refine424419629nres_a > $o,SV92: refine424419629nres_a,SV205: refine424419629nres_a,SV33: refine424419629nres_a > $o] :
( ( ( SV33 @ SV205 )
= $false )
| ( ( ord_le519537037nres_a @ SV205 @ ( sK31_SY463 @ SV92 @ SV138 @ SV33 ) )
= $true )
| ( ( SV138 @ ( order_1714329108nres_a @ SV33 ) )
= $true )
| ( ( SV33 @ ( sK4_SY372 @ SV138 @ SV92 @ SV33 ) )
= $true )
| ( ( SV33 @ SV92 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1798]) ).
thf(1809,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[580,1808,1807,1806,1805,1804,1803,1802,1801,1800,1799,1781,1780,1779,1778,1777,1776,1775,1774,1773,1772,1771,1770,1769,1768,1767,1766,1765,1764,1763,1762,1761,1760,1759,1758,1757,1756,1755,1754,1753,1752,1751,1750,1749,1748,1747,1746,1745,1744,1743,1742,1741,1740,1739,1738,1737,1736,1735,1734,1732,1730,1728,1726,1724,1722,1673,1670,1669,1668,1665,1664,1663,1660,1659,1658,1657,1656,1655,1654,1653,1652,1651,1650,1649,1648,1645,1644,1643,1641,1638,1613,1608,1603,1598,1596,1594,1592,1590,1588,1586,1584,1582,1580,1578,1570,1544,1543,1542,1525,1522,1519,1497,1496,1495,1494,1490,1486,1484,1481,1474,1471,1468,1465,1464,1463,1462,1457,1438,1427,1426,1421,1418,1396,1395,1394,1393,1392,1390,1388,1386,1384,1383,1382,1381,1380,1378,1376,1374,1372,1371,1370,1369,1368,1366,1364,1362,1360,1346,1341,1339,1337,1336,1325,1316,1315,1314,1288,1287,1286,1285,1284,1283,1281,1280,1279,1278,1275,1274,1273,1272,1271,1270,1269,1268,1267,1266,1265,1264,1263,1262,1261,1260,1243,1240,1227,1219,1213,1190,1180,1179,1178,1177,1176,1175,1174,1173,1156,1155,1154,1153,1152,1151,1150,1149,1147,1140,1128,1122,1120,1116,1113,1051,1048,1046,1023,1015,980,977,972,962,961,960,945,940,937,930,929,928,927,923,912,893,892,848,844,841,838,822,820,817,812,809,799,778,756,753,751,747,745,743,741,714,704,698,678,674,672,666,664,659,656,651,648,617,603,599,598,597,594,592,591,590,586,585,584,583,582,581]) ).
thf(1810,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[1809]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP159^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.04 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.18 % Computer : n026.cluster.edu
% 0.11/0.18 % Model : x86_64 x86_64
% 0.11/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.18 % Memory : 8046.5625MB
% 0.11/0.18 % OS : Linux 6.8.0-71-generic
% 0.11/0.18 % CPULimit : 300
% 0.11/0.18 % WCLimit : 300
% 0.11/0.18 % DateTime : Tue Oct 6 11:21:31 UTC 2026
% 0.11/0.18 % CPUTime :
% 0.11/0.18 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 17.99/3.26 ..
% 17.99/3.26
% 17.99/3.26 No.of.Axioms: 77
% 17.99/3.26
% 17.99/3.26 Length.of.Defs: 0
% 17.99/3.26
% 17.99/3.26 Contains.Choice.Funs: true
% 17.99/3.26 .....................................
% 17.99/3.26
% 17.99/3.26 ********************************
% 17.99/3.26 * All subproblems solved! *
% 17.99/3.26 ********************************
% 17.99/3.26 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:77,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:1809,loop_count:0,foatp_calls:1,translation:fof_full)
% 17.99/3.26
% 17.99/3.26 %**** Beginning of derivation protocol ****
% 17.99/3.26 % SZS output start CNFRefutation
% See solution above
% 17.99/3.28
% 17.99/3.28 %**** End of derivation protocol ****
% 17.99/3.28 %**** no. of clauses in derivation: 1525 ****
% 17.99/3.28 %**** clause counter: 1809 ****
% 17.99/3.28
% 17.99/3.28 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:77,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:1809,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------